1,1,97,45,1.133686,"\text{Not used}","int(x^m*(b*x + c*x^2)*(A + B*x),x)","x^m\,\left(\frac{x^3\,\left(A\,c+B\,b\right)\,\left(m^2+6\,m+8\right)}{m^3+9\,m^2+26\,m+24}+\frac{A\,b\,x^2\,\left(m^2+7\,m+12\right)}{m^3+9\,m^2+26\,m+24}+\frac{B\,c\,x^4\,\left(m^2+5\,m+6\right)}{m^3+9\,m^2+26\,m+24}\right)","Not used",1,"x^m*((x^3*(A*c + B*b)*(6*m + m^2 + 8))/(26*m + 9*m^2 + m^3 + 24) + (A*b*x^2*(7*m + m^2 + 12))/(26*m + 9*m^2 + m^3 + 24) + (B*c*x^4*(5*m + m^2 + 6))/(26*m + 9*m^2 + m^3 + 24))","B"
2,1,28,33,0.041418,"\text{Not used}","int(x^3*(b*x + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^7}{7}+\left(\frac{A\,c}{6}+\frac{B\,b}{6}\right)\,x^6+\frac{A\,b\,x^5}{5}","Not used",1,"x^6*((A*c)/6 + (B*b)/6) + (A*b*x^5)/5 + (B*c*x^7)/7","B"
3,1,28,33,0.038190,"\text{Not used}","int(x^2*(b*x + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^6}{6}+\left(\frac{A\,c}{5}+\frac{B\,b}{5}\right)\,x^5+\frac{A\,b\,x^4}{4}","Not used",1,"x^5*((A*c)/5 + (B*b)/5) + (A*b*x^4)/4 + (B*c*x^6)/6","B"
4,1,28,33,0.037619,"\text{Not used}","int(x*(b*x + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^5}{5}+\left(\frac{A\,c}{4}+\frac{B\,b}{4}\right)\,x^4+\frac{A\,b\,x^3}{3}","Not used",1,"x^4*((A*c)/4 + (B*b)/4) + (A*b*x^3)/3 + (B*c*x^5)/5","B"
5,1,28,33,0.036987,"\text{Not used}","int((b*x + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^3+\frac{A\,b\,x^2}{2}","Not used",1,"x^3*((A*c)/3 + (B*b)/3) + (A*b*x^2)/2 + (B*c*x^4)/4","B"
6,1,25,28,0.035014,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x,x)","\frac{B\,c\,x^3}{3}+\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)\,x^2+A\,b\,x","Not used",1,"x^2*((A*c)/2 + (B*b)/2) + A*b*x + (B*c*x^3)/3","B"
7,1,22,24,0.034713,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^2,x)","x\,\left(A\,c+B\,b\right)+\frac{B\,c\,x^2}{2}+A\,b\,\ln\left(x\right)","Not used",1,"x*(A*c + B*b) + (B*c*x^2)/2 + A*b*log(x)","B"
8,1,22,22,0.043300,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^3,x)","\ln\left(x\right)\,\left(A\,c+B\,b\right)+B\,c\,x-\frac{A\,b}{x}","Not used",1,"log(x)*(A*c + B*b) + B*c*x - (A*b)/x","B"
9,1,25,27,1.016840,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^4,x)","B\,c\,\ln\left(x\right)-\frac{\frac{A\,b}{2}+x\,\left(A\,c+B\,b\right)}{x^2}","Not used",1,"B*c*log(x) - ((A*b)/2 + x*(A*c + B*b))/x^2","B"
10,1,27,31,0.038271,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^5,x)","-\frac{B\,c\,x^2+\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)\,x+\frac{A\,b}{3}}{x^3}","Not used",1,"-((A*b)/3 + x*((A*c)/2 + (B*b)/2) + B*c*x^2)/x^3","B"
11,1,28,33,0.035592,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^6,x)","-\frac{\frac{B\,c\,x^2}{2}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x+\frac{A\,b}{4}}{x^4}","Not used",1,"-((A*b)/4 + x*((A*c)/3 + (B*b)/3) + (B*c*x^2)/2)/x^4","B"
12,1,28,33,0.040067,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^7,x)","-\frac{\frac{B\,c\,x^2}{3}+\left(\frac{A\,c}{4}+\frac{B\,b}{4}\right)\,x+\frac{A\,b}{5}}{x^5}","Not used",1,"-((A*b)/5 + x*((A*c)/4 + (B*b)/4) + (B*c*x^2)/3)/x^5","B"
13,1,28,33,0.039001,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^8,x)","-\frac{\frac{B\,c\,x^2}{4}+\left(\frac{A\,c}{5}+\frac{B\,b}{5}\right)\,x+\frac{A\,b}{6}}{x^6}","Not used",1,"-((A*b)/6 + x*((A*c)/5 + (B*b)/5) + (B*c*x^2)/4)/x^6","B"
14,1,179,71,1.199063,"\text{Not used}","int(x^m*(b*x + c*x^2)^2*(A + B*x),x)","x^m\,\left(\frac{A\,b^2\,x^3\,\left(m^3+15\,m^2+74\,m+120\right)}{m^4+18\,m^3+119\,m^2+342\,m+360}+\frac{B\,c^2\,x^6\,\left(m^3+12\,m^2+47\,m+60\right)}{m^4+18\,m^3+119\,m^2+342\,m+360}+\frac{b\,x^4\,\left(2\,A\,c+B\,b\right)\,\left(m^3+14\,m^2+63\,m+90\right)}{m^4+18\,m^3+119\,m^2+342\,m+360}+\frac{c\,x^5\,\left(A\,c+2\,B\,b\right)\,\left(m^3+13\,m^2+54\,m+72\right)}{m^4+18\,m^3+119\,m^2+342\,m+360}\right)","Not used",1,"x^m*((A*b^2*x^3*(74*m + 15*m^2 + m^3 + 120))/(342*m + 119*m^2 + 18*m^3 + m^4 + 360) + (B*c^2*x^6*(47*m + 12*m^2 + m^3 + 60))/(342*m + 119*m^2 + 18*m^3 + m^4 + 360) + (b*x^4*(2*A*c + B*b)*(63*m + 14*m^2 + m^3 + 90))/(342*m + 119*m^2 + 18*m^3 + m^4 + 360) + (c*x^5*(A*c + 2*B*b)*(54*m + 13*m^2 + m^3 + 72))/(342*m + 119*m^2 + 18*m^3 + m^4 + 360))","B"
15,1,51,55,1.053437,"\text{Not used}","int(x^3*(b*x + c*x^2)^2*(A + B*x),x)","x^7\,\left(\frac{B\,b^2}{7}+\frac{2\,A\,c\,b}{7}\right)+x^8\,\left(\frac{A\,c^2}{8}+\frac{B\,b\,c}{4}\right)+\frac{A\,b^2\,x^6}{6}+\frac{B\,c^2\,x^9}{9}","Not used",1,"x^7*((B*b^2)/7 + (2*A*b*c)/7) + x^8*((A*c^2)/8 + (B*b*c)/4) + (A*b^2*x^6)/6 + (B*c^2*x^9)/9","B"
16,1,51,55,0.047192,"\text{Not used}","int(x^2*(b*x + c*x^2)^2*(A + B*x),x)","x^6\,\left(\frac{B\,b^2}{6}+\frac{A\,c\,b}{3}\right)+x^7\,\left(\frac{A\,c^2}{7}+\frac{2\,B\,b\,c}{7}\right)+\frac{A\,b^2\,x^5}{5}+\frac{B\,c^2\,x^8}{8}","Not used",1,"x^6*((B*b^2)/6 + (A*b*c)/3) + x^7*((A*c^2)/7 + (2*B*b*c)/7) + (A*b^2*x^5)/5 + (B*c^2*x^8)/8","B"
17,1,51,55,0.045474,"\text{Not used}","int(x*(b*x + c*x^2)^2*(A + B*x),x)","x^5\,\left(\frac{B\,b^2}{5}+\frac{2\,A\,c\,b}{5}\right)+x^6\,\left(\frac{A\,c^2}{6}+\frac{B\,b\,c}{3}\right)+\frac{A\,b^2\,x^4}{4}+\frac{B\,c^2\,x^7}{7}","Not used",1,"x^5*((B*b^2)/5 + (2*A*b*c)/5) + x^6*((A*c^2)/6 + (B*b*c)/3) + (A*b^2*x^4)/4 + (B*c^2*x^7)/7","B"
18,1,51,55,0.046507,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x),x)","x^4\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,B\,b\,c}{5}\right)+\frac{A\,b^2\,x^3}{3}+\frac{B\,c^2\,x^6}{6}","Not used",1,"x^4*((B*b^2)/4 + (A*b*c)/2) + x^5*((A*c^2)/5 + (2*B*b*c)/5) + (A*b^2*x^3)/3 + (B*c^2*x^6)/6","B"
19,1,51,55,0.048227,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x,x)","x^3\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}\right)+x^4\,\left(\frac{A\,c^2}{4}+\frac{B\,b\,c}{2}\right)+\frac{A\,b^2\,x^2}{2}+\frac{B\,c^2\,x^5}{5}","Not used",1,"x^3*((B*b^2)/3 + (2*A*b*c)/3) + x^4*((A*c^2)/4 + (B*b*c)/2) + (A*b^2*x^2)/2 + (B*c^2*x^5)/5","B"
20,1,47,38,0.047245,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^2,x)","x^2\,\left(\frac{B\,b^2}{2}+A\,c\,b\right)+x^3\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+\frac{B\,c^2\,x^4}{4}+A\,b^2\,x","Not used",1,"x^2*((B*b^2)/2 + A*b*c) + x^3*((A*c^2)/3 + (2*B*b*c)/3) + (B*c^2*x^4)/4 + A*b^2*x","B"
21,1,45,46,0.041445,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^3,x)","x^2\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+x\,\left(B\,b^2+2\,A\,c\,b\right)+\frac{B\,c^2\,x^3}{3}+A\,b^2\,\ln\left(x\right)","Not used",1,"x^2*((A*c^2)/2 + B*b*c) + x*(B*b^2 + 2*A*b*c) + (B*c^2*x^3)/3 + A*b^2*log(x)","B"
22,1,46,44,0.045317,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^4,x)","x\,\left(A\,c^2+2\,B\,b\,c\right)+\ln\left(x\right)\,\left(B\,b^2+2\,A\,c\,b\right)-\frac{A\,b^2}{x}+\frac{B\,c^2\,x^2}{2}","Not used",1,"x*(A*c^2 + 2*B*b*c) + log(x)*(B*b^2 + 2*A*b*c) - (A*b^2)/x + (B*c^2*x^2)/2","B"
23,1,46,44,1.042290,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^5,x)","\ln\left(x\right)\,\left(A\,c^2+2\,B\,b\,c\right)-\frac{\frac{A\,b^2}{2}+x\,\left(B\,b^2+2\,A\,c\,b\right)}{x^2}+B\,c^2\,x","Not used",1,"log(x)*(A*c^2 + 2*B*b*c) - ((A*b^2)/2 + x*(B*b^2 + 2*A*b*c))/x^2 + B*c^2*x","B"
24,1,48,49,1.117923,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^6,x)","B\,c^2\,\ln\left(x\right)-\frac{x^2\,\left(A\,c^2+2\,B\,b\,c\right)+\frac{A\,b^2}{3}+x\,\left(\frac{B\,b^2}{2}+A\,c\,b\right)}{x^3}","Not used",1,"B*c^2*log(x) - (x^2*(A*c^2 + 2*B*b*c) + (A*b^2)/3 + x*((B*b^2)/2 + A*b*c))/x^3","B"
25,1,49,53,0.037732,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^7,x)","-\frac{x^2\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+\frac{A\,b^2}{4}+x\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}\right)+B\,c^2\,x^3}{x^4}","Not used",1,"-(x^2*((A*c^2)/2 + B*b*c) + (A*b^2)/4 + x*((B*b^2)/3 + (2*A*b*c)/3) + B*c^2*x^3)/x^4","B"
26,1,51,55,0.036442,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^8,x)","-\frac{x^2\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+\frac{A\,b^2}{5}+x\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}\right)+\frac{B\,c^2\,x^3}{2}}{x^5}","Not used",1,"-(x^2*((A*c^2)/3 + (2*B*b*c)/3) + (A*b^2)/5 + x*((B*b^2)/4 + (A*b*c)/2) + (B*c^2*x^3)/2)/x^5","B"
27,1,291,96,1.282386,"\text{Not used}","int(x^m*(b*x + c*x^2)^3*(A + B*x),x)","\frac{A\,b^3\,x^m\,x^4\,\left(m^4+26\,m^3+251\,m^2+1066\,m+1680\right)}{m^5+30\,m^4+355\,m^3+2070\,m^2+5944\,m+6720}+\frac{B\,c^3\,x^m\,x^8\,\left(m^4+22\,m^3+179\,m^2+638\,m+840\right)}{m^5+30\,m^4+355\,m^3+2070\,m^2+5944\,m+6720}+\frac{b^2\,x^m\,x^5\,\left(3\,A\,c+B\,b\right)\,\left(m^4+25\,m^3+230\,m^2+920\,m+1344\right)}{m^5+30\,m^4+355\,m^3+2070\,m^2+5944\,m+6720}+\frac{c^2\,x^m\,x^7\,\left(A\,c+3\,B\,b\right)\,\left(m^4+23\,m^3+194\,m^2+712\,m+960\right)}{m^5+30\,m^4+355\,m^3+2070\,m^2+5944\,m+6720}+\frac{3\,b\,c\,x^m\,x^6\,\left(A\,c+B\,b\right)\,\left(m^4+24\,m^3+211\,m^2+804\,m+1120\right)}{m^5+30\,m^4+355\,m^3+2070\,m^2+5944\,m+6720}","Not used",1,"(A*b^3*x^m*x^4*(1066*m + 251*m^2 + 26*m^3 + m^4 + 1680))/(5944*m + 2070*m^2 + 355*m^3 + 30*m^4 + m^5 + 6720) + (B*c^3*x^m*x^8*(638*m + 179*m^2 + 22*m^3 + m^4 + 840))/(5944*m + 2070*m^2 + 355*m^3 + 30*m^4 + m^5 + 6720) + (b^2*x^m*x^5*(3*A*c + B*b)*(920*m + 230*m^2 + 25*m^3 + m^4 + 1344))/(5944*m + 2070*m^2 + 355*m^3 + 30*m^4 + m^5 + 6720) + (c^2*x^m*x^7*(A*c + 3*B*b)*(712*m + 194*m^2 + 23*m^3 + m^4 + 960))/(5944*m + 2070*m^2 + 355*m^3 + 30*m^4 + m^5 + 6720) + (3*b*c*x^m*x^6*(A*c + B*b)*(804*m + 211*m^2 + 24*m^3 + m^4 + 1120))/(5944*m + 2070*m^2 + 355*m^3 + 30*m^4 + m^5 + 6720)","B"
28,1,69,75,0.038646,"\text{Not used}","int(x^3*(b*x + c*x^2)^3*(A + B*x),x)","x^8\,\left(\frac{B\,b^3}{8}+\frac{3\,A\,c\,b^2}{8}\right)+x^{10}\,\left(\frac{A\,c^3}{10}+\frac{3\,B\,b\,c^2}{10}\right)+\frac{A\,b^3\,x^7}{7}+\frac{B\,c^3\,x^{11}}{11}+\frac{b\,c\,x^9\,\left(A\,c+B\,b\right)}{3}","Not used",1,"x^8*((B*b^3)/8 + (3*A*b^2*c)/8) + x^10*((A*c^3)/10 + (3*B*b*c^2)/10) + (A*b^3*x^7)/7 + (B*c^3*x^11)/11 + (b*c*x^9*(A*c + B*b))/3","B"
29,1,69,75,0.031724,"\text{Not used}","int(x^2*(b*x + c*x^2)^3*(A + B*x),x)","x^7\,\left(\frac{B\,b^3}{7}+\frac{3\,A\,c\,b^2}{7}\right)+x^9\,\left(\frac{A\,c^3}{9}+\frac{B\,b\,c^2}{3}\right)+\frac{A\,b^3\,x^6}{6}+\frac{B\,c^3\,x^{10}}{10}+\frac{3\,b\,c\,x^8\,\left(A\,c+B\,b\right)}{8}","Not used",1,"x^7*((B*b^3)/7 + (3*A*b^2*c)/7) + x^9*((A*c^3)/9 + (B*b*c^2)/3) + (A*b^3*x^6)/6 + (B*c^3*x^10)/10 + (3*b*c*x^8*(A*c + B*b))/8","B"
30,1,69,75,0.032514,"\text{Not used}","int(x*(b*x + c*x^2)^3*(A + B*x),x)","x^6\,\left(\frac{B\,b^3}{6}+\frac{A\,c\,b^2}{2}\right)+x^8\,\left(\frac{A\,c^3}{8}+\frac{3\,B\,b\,c^2}{8}\right)+\frac{A\,b^3\,x^5}{5}+\frac{B\,c^3\,x^9}{9}+\frac{3\,b\,c\,x^7\,\left(A\,c+B\,b\right)}{7}","Not used",1,"x^6*((B*b^3)/6 + (A*b^2*c)/2) + x^8*((A*c^3)/8 + (3*B*b*c^2)/8) + (A*b^3*x^5)/5 + (B*c^3*x^9)/9 + (3*b*c*x^7*(A*c + B*b))/7","B"
31,1,69,75,0.032397,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x),x)","x^5\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,c\,b^2}{5}\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,B\,b\,c^2}{7}\right)+\frac{A\,b^3\,x^4}{4}+\frac{B\,c^3\,x^8}{8}+\frac{b\,c\,x^6\,\left(A\,c+B\,b\right)}{2}","Not used",1,"x^5*((B*b^3)/5 + (3*A*b^2*c)/5) + x^7*((A*c^3)/7 + (3*B*b*c^2)/7) + (A*b^3*x^4)/4 + (B*c^3*x^8)/8 + (b*c*x^6*(A*c + B*b))/2","B"
32,1,69,75,0.032524,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x,x)","x^4\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,c\,b^2}{4}\right)+x^6\,\left(\frac{A\,c^3}{6}+\frac{B\,b\,c^2}{2}\right)+\frac{A\,b^3\,x^3}{3}+\frac{B\,c^3\,x^7}{7}+\frac{3\,b\,c\,x^5\,\left(A\,c+B\,b\right)}{5}","Not used",1,"x^4*((B*b^3)/4 + (3*A*b^2*c)/4) + x^6*((A*c^3)/6 + (B*b*c^2)/2) + (A*b^3*x^3)/3 + (B*c^3*x^7)/7 + (3*b*c*x^5*(A*c + B*b))/5","B"
33,1,68,62,0.030819,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^2,x)","x^3\,\left(\frac{B\,b^3}{3}+A\,c\,b^2\right)+x^5\,\left(\frac{A\,c^3}{5}+\frac{3\,B\,b\,c^2}{5}\right)+\frac{A\,b^3\,x^2}{2}+\frac{B\,c^3\,x^6}{6}+\frac{3\,b\,c\,x^4\,\left(A\,c+B\,b\right)}{4}","Not used",1,"x^3*((B*b^3)/3 + A*b^2*c) + x^5*((A*c^3)/5 + (3*B*b*c^2)/5) + (A*b^3*x^2)/2 + (B*c^3*x^6)/6 + (3*b*c*x^4*(A*c + B*b))/4","B"
34,1,65,38,0.030113,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^3,x)","x^2\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,c\,b^2}{2}\right)+x^4\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+\frac{B\,c^3\,x^5}{5}+A\,b^3\,x+b\,c\,x^3\,\left(A\,c+B\,b\right)","Not used",1,"x^2*((B*b^3)/2 + (3*A*b^2*c)/2) + x^4*((A*c^3)/4 + (3*B*b*c^2)/4) + (B*c^3*x^5)/5 + A*b^3*x + b*c*x^3*(A*c + B*b)","B"
35,1,63,66,0.034771,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^4,x)","x\,\left(B\,b^3+3\,A\,c\,b^2\right)+x^3\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)+\frac{B\,c^3\,x^4}{4}+A\,b^3\,\ln\left(x\right)+\frac{3\,b\,c\,x^2\,\left(A\,c+B\,b\right)}{2}","Not used",1,"x*(B*b^3 + 3*A*b^2*c) + x^3*((A*c^3)/3 + B*b*c^2) + (B*c^3*x^4)/4 + A*b^3*log(x) + (3*b*c*x^2*(A*c + B*b))/2","B"
36,1,65,65,0.041279,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^5,x)","x^2\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)+\ln\left(x\right)\,\left(B\,b^3+3\,A\,c\,b^2\right)-\frac{A\,b^3}{x}+\frac{B\,c^3\,x^3}{3}+3\,b\,c\,x\,\left(A\,c+B\,b\right)","Not used",1,"x^2*((A*c^3)/2 + (3*B*b*c^2)/2) + log(x)*(B*b^3 + 3*A*b^2*c) - (A*b^3)/x + (B*c^3*x^3)/3 + 3*b*c*x*(A*c + B*b)","B"
37,1,70,65,1.058434,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^6,x)","\ln\left(x\right)\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2\right)-\frac{x\,\left(B\,b^3+3\,A\,c\,b^2\right)+\frac{A\,b^3}{2}}{x^2}+x\,\left(A\,c^3+3\,B\,b\,c^2\right)+\frac{B\,c^3\,x^2}{2}","Not used",1,"log(x)*(3*A*b*c^2 + 3*B*b^2*c) - (x*(B*b^3 + 3*A*b^2*c) + (A*b^3)/2)/x^2 + x*(A*c^3 + 3*B*b*c^2) + (B*c^3*x^2)/2","B"
38,1,70,64,0.066505,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^7,x)","\ln\left(x\right)\,\left(A\,c^3+3\,B\,b\,c^2\right)-\frac{x^2\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2\right)+x\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,c\,b^2}{2}\right)+\frac{A\,b^3}{3}}{x^3}+B\,c^3\,x","Not used",1,"log(x)*(A*c^3 + 3*B*b*c^2) - (x^2*(3*A*b*c^2 + 3*B*b^2*c) + x*((B*b^3)/2 + (3*A*b^2*c)/2) + (A*b^3)/3)/x^3 + B*c^3*x","B"
39,1,71,69,0.077593,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^8,x)","B\,c^3\,\ln\left(x\right)-\frac{x^2\,\left(\frac{3\,B\,b^2\,c}{2}+\frac{3\,A\,b\,c^2}{2}\right)+x\,\left(\frac{B\,b^3}{3}+A\,c\,b^2\right)+\frac{A\,b^3}{4}+x^3\,\left(A\,c^3+3\,B\,b\,c^2\right)}{x^4}","Not used",1,"B*c^3*log(x) - (x^2*((3*A*b*c^2)/2 + (3*B*b^2*c)/2) + x*((B*b^3)/3 + A*b^2*c) + (A*b^3)/4 + x^3*(A*c^3 + 3*B*b*c^2))/x^4","B"
40,1,71,71,1.016559,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^9,x)","-\frac{x^2\,\left(B\,b^2\,c+A\,b\,c^2\right)+x\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,c\,b^2}{4}\right)+\frac{A\,b^3}{5}+x^3\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)+B\,c^3\,x^4}{x^5}","Not used",1,"-(x^2*(A*b*c^2 + B*b^2*c) + x*((B*b^3)/4 + (3*A*b^2*c)/4) + (A*b^3)/5 + x^3*((A*c^3)/2 + (3*B*b*c^2)/2) + B*c^3*x^4)/x^5","B"
41,1,73,75,0.043474,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^10,x)","-\frac{x^2\,\left(\frac{3\,B\,b^2\,c}{4}+\frac{3\,A\,b\,c^2}{4}\right)+x\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,c\,b^2}{5}\right)+\frac{A\,b^3}{6}+x^3\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)+\frac{B\,c^3\,x^4}{2}}{x^6}","Not used",1,"-(x^2*((3*A*b*c^2)/4 + (3*B*b^2*c)/4) + x*((B*b^3)/5 + (3*A*b^2*c)/5) + (A*b^3)/6 + x^3*((A*c^3)/3 + B*b*c^2) + (B*c^3*x^4)/2)/x^6","B"
42,1,74,75,0.046716,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^11,x)","-\frac{x^2\,\left(\frac{3\,B\,b^2\,c}{5}+\frac{3\,A\,b\,c^2}{5}\right)+x\,\left(\frac{B\,b^3}{6}+\frac{A\,c\,b^2}{2}\right)+\frac{A\,b^3}{7}+x^3\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+\frac{B\,c^3\,x^4}{3}}{x^7}","Not used",1,"-(x^2*((3*A*b*c^2)/5 + (3*B*b^2*c)/5) + x*((B*b^3)/6 + (A*b^2*c)/2) + (A*b^3)/7 + x^3*((A*c^3)/4 + (3*B*b*c^2)/4) + (B*c^3*x^4)/3)/x^7","B"
43,1,94,87,0.048672,"\text{Not used}","int((x^4*(d + e*x))/(b*x + c*x^2),x)","x^3\,\left(\frac{d}{3\,c}-\frac{b\,e}{3\,c^2}\right)+\frac{\ln\left(b+c\,x\right)\,\left(b^4\,e-b^3\,c\,d\right)}{c^5}+\frac{e\,x^4}{4\,c}-\frac{b\,x^2\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{2\,c}+\frac{b^2\,x\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{c^2}","Not used",1,"x^3*(d/(3*c) - (b*e)/(3*c^2)) + (log(b + c*x)*(b^4*e - b^3*c*d))/c^5 + (e*x^4)/(4*c) - (b*x^2*(d/c - (b*e)/c^2))/(2*c) + (b^2*x*(d/c - (b*e)/c^2))/c^2","B"
44,1,72,66,1.013816,"\text{Not used}","int((x^3*(d + e*x))/(b*x + c*x^2),x)","x^2\,\left(\frac{d}{2\,c}-\frac{b\,e}{2\,c^2}\right)-\frac{\ln\left(b+c\,x\right)\,\left(b^3\,e-b^2\,c\,d\right)}{c^4}+\frac{e\,x^3}{3\,c}-\frac{b\,x\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{c}","Not used",1,"x^2*(d/(2*c) - (b*e)/(2*c^2)) - (log(b + c*x)*(b^3*e - b^2*c*d))/c^4 + (e*x^3)/(3*c) - (b*x*(d/c - (b*e)/c^2))/c","B"
45,1,46,45,1.021251,"\text{Not used}","int((x^2*(d + e*x))/(b*x + c*x^2),x)","x\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)+\frac{e\,x^2}{2\,c}+\frac{\ln\left(b+c\,x\right)\,\left(b^2\,e-b\,c\,d\right)}{c^3}","Not used",1,"x*(d/c - (b*e)/c^2) + (e*x^2)/(2*c) + (log(b + c*x)*(b^2*e - b*c*d))/c^3","B"
46,1,26,25,0.046675,"\text{Not used}","int((x*(d + e*x))/(b*x + c*x^2),x)","\frac{e\,x}{c}-\frac{\ln\left(b+c\,x\right)\,\left(b\,e-c\,d\right)}{c^2}","Not used",1,"(e*x)/c - (log(b + c*x)*(b*e - c*d))/c^2","B"
47,1,28,30,0.095760,"\text{Not used}","int((d + e*x)/(b*x + c*x^2),x)","\frac{d\,\ln\left(x\right)}{b}-\ln\left(b+c\,x\right)\,\left(\frac{d}{b}-\frac{e}{c}\right)","Not used",1,"(d*log(x))/b - log(b + c*x)*(d/b - e/c)","B"
48,1,33,43,0.085021,"\text{Not used}","int((d + e*x)/(x*(b*x + c*x^2)),x)","-\frac{d}{b\,x}-\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)\,\left(b\,e-c\,d\right)}{b^2}","Not used",1,"- d/(b*x) - (2*atanh((2*c*x)/b + 1)*(b*e - c*d))/b^2","B"
49,1,73,62,0.084909,"\text{Not used}","int((d + e*x)/(x^2*(b*x + c*x^2)),x)","-\frac{\frac{d}{2\,b}+\frac{x\,\left(b\,e-c\,d\right)}{b^2}}{x^2}-\frac{2\,c\,\mathrm{atanh}\left(\frac{c\,\left(b\,e-c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(c^2\,d-b\,c\,e\right)}\right)\,\left(b\,e-c\,d\right)}{b^3}","Not used",1,"- (d/(2*b) + (x*(b*e - c*d))/b^2)/x^2 - (2*c*atanh((c*(b*e - c*d)*(b + 2*c*x))/(b*(c^2*d - b*c*e)))*(b*e - c*d))/b^3","B"
50,1,97,86,0.093726,"\text{Not used}","int((d + e*x)/(x^3*(b*x + c*x^2)),x)","\frac{2\,c^2\,\mathrm{atanh}\left(\frac{c^2\,\left(b\,e-c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(c^3\,d-b\,c^2\,e\right)}\right)\,\left(b\,e-c\,d\right)}{b^4}-\frac{\frac{d}{3\,b}+\frac{x\,\left(b\,e-c\,d\right)}{2\,b^2}-\frac{c\,x^2\,\left(b\,e-c\,d\right)}{b^3}}{x^3}","Not used",1,"(2*c^2*atanh((c^2*(b*e - c*d)*(b + 2*c*x))/(b*(c^3*d - b*c^2*e)))*(b*e - c*d))/b^4 - (d/(3*b) + (x*(b*e - c*d))/(2*b^2) - (c*x^2*(b*e - c*d))/b^3)/x^3","B"
51,1,115,90,1.026149,"\text{Not used}","int((x^5*(d + e*x))/(b*x + c*x^2)^2,x)","x^2\,\left(\frac{d}{2\,c^2}-\frac{b\,e}{c^3}\right)-x\,\left(\frac{b^2\,e}{c^4}+\frac{2\,b\,\left(\frac{d}{c^2}-\frac{2\,b\,e}{c^3}\right)}{c}\right)-\frac{\ln\left(b+c\,x\right)\,\left(4\,b^3\,e-3\,b^2\,c\,d\right)}{c^5}+\frac{e\,x^3}{3\,c^2}-\frac{b^4\,e-b^3\,c\,d}{c\,\left(x\,c^5+b\,c^4\right)}","Not used",1,"x^2*(d/(2*c^2) - (b*e)/c^3) - x*((b^2*e)/c^4 + (2*b*(d/c^2 - (2*b*e)/c^3))/c) - (log(b + c*x)*(4*b^3*e - 3*b^2*c*d))/c^5 + (e*x^3)/(3*c^2) - (b^4*e - b^3*c*d)/(c*(b*c^4 + c^5*x))","B"
52,1,77,69,0.058131,"\text{Not used}","int((x^4*(d + e*x))/(b*x + c*x^2)^2,x)","x\,\left(\frac{d}{c^2}-\frac{2\,b\,e}{c^3}\right)+\frac{e\,x^2}{2\,c^2}+\frac{b^3\,e-b^2\,c\,d}{c\,\left(x\,c^4+b\,c^3\right)}+\frac{\ln\left(b+c\,x\right)\,\left(3\,b^2\,e-2\,b\,c\,d\right)}{c^4}","Not used",1,"x*(d/c^2 - (2*b*e)/c^3) + (e*x^2)/(2*c^2) + (b^3*e - b^2*c*d)/(c*(b*c^3 + c^4*x)) + (log(b + c*x)*(3*b^2*e - 2*b*c*d))/c^4","B"
53,1,56,45,1.030287,"\text{Not used}","int((x^3*(d + e*x))/(b*x + c*x^2)^2,x)","\frac{e\,x}{c^2}-\frac{b^2\,e-b\,c\,d}{c\,\left(x\,c^3+b\,c^2\right)}-\frac{\ln\left(b+c\,x\right)\,\left(2\,b\,e-c\,d\right)}{c^3}","Not used",1,"(e*x)/c^2 - (b^2*e - b*c*d)/(c*(b*c^2 + c^3*x)) - (log(b + c*x)*(2*b*e - c*d))/c^3","B"
54,1,31,32,0.042932,"\text{Not used}","int((x^2*(d + e*x))/(b*x + c*x^2)^2,x)","\frac{b\,e-c\,d}{c^2\,\left(b+c\,x\right)}+\frac{e\,\ln\left(b+c\,x\right)}{c^2}","Not used",1,"(b*e - c*d)/(c^2*(b + c*x)) + (e*log(b + c*x))/c^2","B"
55,1,40,42,1.021006,"\text{Not used}","int((x*(d + e*x))/(b*x + c*x^2)^2,x)","-\frac{2\,d\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{b^2}-\frac{b\,e-c\,d}{b\,c\,\left(b+c\,x\right)}","Not used",1,"- (2*d*atanh((2*c*x)/b + 1))/b^2 - (b*e - c*d)/(b*c*(b + c*x))","B"
56,1,57,65,0.086565,"\text{Not used}","int((d + e*x)/(b*x + c*x^2)^2,x)","-\frac{\frac{d}{b}-\frac{x\,\left(b\,e-2\,c\,d\right)}{b^2}}{c\,x^2+b\,x}-\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)\,\left(b\,e-2\,c\,d\right)}{b^3}","Not used",1,"- (d/b - (x*(b*e - 2*c*d))/b^2)/(b*x + c*x^2) - (2*atanh((2*c*x)/b + 1)*(b*e - 2*c*d))/b^3","B"
57,1,105,85,0.109690,"\text{Not used}","int((d + e*x)/(x*(b*x + c*x^2)^2),x)","-\frac{\frac{d}{2\,b}+\frac{x\,\left(2\,b\,e-3\,c\,d\right)}{2\,b^2}+\frac{c\,x^2\,\left(2\,b\,e-3\,c\,d\right)}{b^3}}{c\,x^3+b\,x^2}-\frac{2\,c\,\mathrm{atanh}\left(\frac{c\,\left(2\,b\,e-3\,c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(3\,c^2\,d-2\,b\,c\,e\right)}\right)\,\left(2\,b\,e-3\,c\,d\right)}{b^4}","Not used",1,"- (d/(2*b) + (x*(2*b*e - 3*c*d))/(2*b^2) + (c*x^2*(2*b*e - 3*c*d))/b^3)/(b*x^2 + c*x^3) - (2*c*atanh((c*(2*b*e - 3*c*d)*(b + 2*c*x))/(b*(3*c^2*d - 2*b*c*e)))*(2*b*e - 3*c*d))/b^4","B"
58,1,132,113,1.081690,"\text{Not used}","int((d + e*x)/(x^2*(b*x + c*x^2)^2),x)","\frac{2\,c^2\,\mathrm{atanh}\left(\frac{c^2\,\left(3\,b\,e-4\,c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(4\,c^3\,d-3\,b\,c^2\,e\right)}\right)\,\left(3\,b\,e-4\,c\,d\right)}{b^5}-\frac{\frac{d}{3\,b}+\frac{x\,\left(3\,b\,e-4\,c\,d\right)}{6\,b^2}-\frac{c\,x^2\,\left(3\,b\,e-4\,c\,d\right)}{2\,b^3}-\frac{c^2\,x^3\,\left(3\,b\,e-4\,c\,d\right)}{b^4}}{c\,x^4+b\,x^3}","Not used",1,"(2*c^2*atanh((c^2*(3*b*e - 4*c*d)*(b + 2*c*x))/(b*(4*c^3*d - 3*b*c^2*e)))*(3*b*e - 4*c*d))/b^5 - (d/(3*b) + (x*(3*b*e - 4*c*d))/(6*b^2) - (c*x^2*(3*b*e - 4*c*d))/(2*b^3) - (c^2*x^3*(3*b*e - 4*c*d))/b^4)/(b*x^3 + c*x^4)","B"
59,1,108,94,1.038403,"\text{Not used}","int((x^6*(d + e*x))/(b*x + c*x^2)^3,x)","x\,\left(\frac{d}{c^3}-\frac{3\,b\,e}{c^4}\right)+\frac{x\,\left(4\,b^3\,e-3\,b^2\,c\,d\right)+\frac{7\,b^4\,e-5\,b^3\,c\,d}{2\,c}}{b^2\,c^4+2\,b\,c^5\,x+c^6\,x^2}+\frac{e\,x^2}{2\,c^3}+\frac{\ln\left(b+c\,x\right)\,\left(6\,b^2\,e-3\,b\,c\,d\right)}{c^5}","Not used",1,"x*(d/c^3 - (3*b*e)/c^4) + (x*(4*b^3*e - 3*b^2*c*d) + (7*b^4*e - 5*b^3*c*d)/(2*c))/(b^2*c^4 + c^6*x^2 + 2*b*c^5*x) + (e*x^2)/(2*c^3) + (log(b + c*x)*(6*b^2*e - 3*b*c*d))/c^5","B"
60,1,87,71,1.077255,"\text{Not used}","int((x^5*(d + e*x))/(b*x + c*x^2)^3,x)","\frac{e\,x}{c^3}-\frac{\ln\left(b+c\,x\right)\,\left(3\,b\,e-c\,d\right)}{c^4}-\frac{x\,\left(3\,b^2\,e-2\,b\,c\,d\right)+\frac{5\,b^3\,e-3\,b^2\,c\,d}{2\,c}}{b^2\,c^3+2\,b\,c^4\,x+c^5\,x^2}","Not used",1,"(e*x)/c^3 - (log(b + c*x)*(3*b*e - c*d))/c^4 - (x*(3*b^2*e - 2*b*c*d) + (5*b^3*e - 3*b^2*c*d)/(2*c))/(b^2*c^3 + c^5*x^2 + 2*b*c^4*x)","B"
61,1,63,55,1.050192,"\text{Not used}","int((x^4*(d + e*x))/(b*x + c*x^2)^3,x)","\frac{\frac{3\,b^2\,e-b\,c\,d}{2\,c^3}+\frac{x\,\left(2\,b\,e-c\,d\right)}{c^2}}{b^2+2\,b\,c\,x+c^2\,x^2}+\frac{e\,\ln\left(b+c\,x\right)}{c^3}","Not used",1,"((3*b^2*e - b*c*d)/(2*c^3) + (x*(2*b*e - c*d))/c^2)/(b^2 + c^2*x^2 + 2*b*c*x) + (e*log(b + c*x))/c^3","B"
62,1,39,36,1.025708,"\text{Not used}","int((x^3*(d + e*x))/(b*x + c*x^2)^3,x)","-\frac{\frac{b\,e+c\,d}{2\,c^2}+\frac{e\,x}{c}}{b^2+2\,b\,c\,x+c^2\,x^2}","Not used",1,"-((b*e + c*d)/(2*c^2) + (e*x)/c)/(b^2 + c^2*x^2 + 2*b*c*x)","B"
63,1,62,57,0.067157,"\text{Not used}","int((x^2*(d + e*x))/(b*x + c*x^2)^3,x)","-\frac{\frac{b\,e-3\,c\,d}{2\,b\,c}-\frac{c\,d\,x}{b^2}}{b^2+2\,b\,c\,x+c^2\,x^2}-\frac{2\,d\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{b^3}","Not used",1,"- ((b*e - 3*c*d)/(2*b*c) - (c*d*x)/b^2)/(b^2 + c^2*x^2 + 2*b*c*x) - (2*d*atanh((2*c*x)/b + 1))/b^3","B"
64,1,84,88,1.095475,"\text{Not used}","int((x*(d + e*x))/(b*x + c*x^2)^3,x)","\frac{\frac{3\,x\,\left(b\,e-3\,c\,d\right)}{2\,b^2}-\frac{d}{b}+\frac{c\,x^2\,\left(b\,e-3\,c\,d\right)}{b^3}}{b^2\,x+2\,b\,c\,x^2+c^2\,x^3}-\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)\,\left(b\,e-3\,c\,d\right)}{b^4}","Not used",1,"((3*x*(b*e - 3*c*d))/(2*b^2) - d/b + (c*x^2*(b*e - 3*c*d))/b^3)/(b^2*x + c^2*x^3 + 2*b*c*x^2) - (2*atanh((2*c*x)/b + 1)*(b*e - 3*c*d))/b^4","B"
65,1,132,110,1.116543,"\text{Not used}","int((d + e*x)/(b*x + c*x^2)^3,x)","-\frac{\frac{d}{2\,b}+\frac{x\,\left(b\,e-2\,c\,d\right)}{b^2}+\frac{9\,c\,x^2\,\left(b\,e-2\,c\,d\right)}{2\,b^3}+\frac{3\,c^2\,x^3\,\left(b\,e-2\,c\,d\right)}{b^4}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}-\frac{6\,c\,\mathrm{atanh}\left(\frac{3\,c\,\left(b\,e-2\,c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(6\,c^2\,d-3\,b\,c\,e\right)}\right)\,\left(b\,e-2\,c\,d\right)}{b^5}","Not used",1,"- (d/(2*b) + (x*(b*e - 2*c*d))/b^2 + (9*c*x^2*(b*e - 2*c*d))/(2*b^3) + (3*c^2*x^3*(b*e - 2*c*d))/b^4)/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) - (6*c*atanh((3*c*(b*e - 2*c*d)*(b + 2*c*x))/(b*(6*c^2*d - 3*b*c*e)))*(b*e - 2*c*d))/b^5","B"
66,1,163,140,1.086917,"\text{Not used}","int((d + e*x)/(x*(b*x + c*x^2)^3),x)","\frac{\frac{2\,c\,x^2\,\left(3\,b\,e-5\,c\,d\right)}{3\,b^3}-\frac{x\,\left(3\,b\,e-5\,c\,d\right)}{6\,b^2}-\frac{d}{3\,b}+\frac{3\,c^2\,x^3\,\left(3\,b\,e-5\,c\,d\right)}{b^4}+\frac{2\,c^3\,x^4\,\left(3\,b\,e-5\,c\,d\right)}{b^5}}{b^2\,x^3+2\,b\,c\,x^4+c^2\,x^5}+\frac{4\,c^2\,\mathrm{atanh}\left(\frac{2\,c^2\,\left(3\,b\,e-5\,c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(10\,c^3\,d-6\,b\,c^2\,e\right)}\right)\,\left(3\,b\,e-5\,c\,d\right)}{b^6}","Not used",1,"((2*c*x^2*(3*b*e - 5*c*d))/(3*b^3) - (x*(3*b*e - 5*c*d))/(6*b^2) - d/(3*b) + (3*c^2*x^3*(3*b*e - 5*c*d))/b^4 + (2*c^3*x^4*(3*b*e - 5*c*d))/b^5)/(b^2*x^3 + c^2*x^5 + 2*b*c*x^4) + (4*c^2*atanh((2*c^2*(3*b*e - 5*c*d)*(b + 2*c*x))/(b*(10*c^3*d - 6*b*c^2*e)))*(3*b*e - 5*c*d))/b^6","B"
67,1,267,200,1.821672,"\text{Not used}","int(x^3*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\frac{3\,B\,b\,\left(\frac{7\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}-\frac{x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}\right)}{4\,c}-\frac{7\,A\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}+\frac{A\,x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}+\frac{B\,x^3\,{\left(c\,x^2+b\,x\right)}^{3/2}}{6\,c}","Not used",1,"(3*B*b*((7*b*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) - (x^2*(b*x + c*x^2)^(3/2))/(5*c)))/(4*c) - (7*A*b*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) + (A*x^2*(b*x + c*x^2)^(3/2))/(5*c) + (B*x^3*(b*x + c*x^2)^(3/2))/(6*c)","B"
68,1,215,165,1.480822,"\text{Not used}","int(x^2*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\frac{A\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,A\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}-\frac{7\,B\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}+\frac{B\,x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}","Not used",1,"(A*x*(b*x + c*x^2)^(3/2))/(4*c) - (5*A*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) - (7*B*b*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) + (B*x^2*(b*x + c*x^2)^(3/2))/(5*c)","B"
69,1,165,113,1.516999,"\text{Not used}","int(x*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\frac{A\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}+\frac{B\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,B\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}+\frac{A\,b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}","Not used",1,"(A*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) + (B*x*(b*x + c*x^2)^(3/2))/(4*c) - (5*B*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) + (A*b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2))","B"
70,1,127,97,1.375717,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x),x)","A\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)+\frac{B\,b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{B\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}-\frac{A\,b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}","Not used",1,"A*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) + (B*b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (B*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) - (A*b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))","B"
71,1,101,92,1.317932,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x,x)","A\,\sqrt{c\,x^2+b\,x}+B\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{B\,b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}+\frac{A\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{2\,\sqrt{c}}","Not used",1,"A*(b*x + c*x^2)^(1/2) + B*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (B*b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2)) + (A*b*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(2*c^(1/2))","B"
72,0,-1,83,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^2,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^2, x)","F"
73,0,-1,73,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^3,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^3, x)","F"
74,1,100,57,1.444358,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^4,x)","\frac{4\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{15\,b^2\,x}-\frac{2\,B\,\sqrt{c\,x^2+b\,x}}{3\,x^2}-\frac{2\,A\,c\,\sqrt{c\,x^2+b\,x}}{15\,b\,x^2}-\frac{2\,B\,c\,\sqrt{c\,x^2+b\,x}}{3\,b\,x}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{5\,x^3}","Not used",1,"(4*A*c^2*(b*x + c*x^2)^(1/2))/(15*b^2*x) - (2*B*(b*x + c*x^2)^(1/2))/(3*x^2) - (2*A*c*(b*x + c*x^2)^(1/2))/(15*b*x^2) - (2*B*c*(b*x + c*x^2)^(1/2))/(3*b*x) - (2*A*(b*x + c*x^2)^(1/2))/(5*x^3)","B"
75,1,146,90,1.665282,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^5,x)","\frac{8\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b^2\,x^2}-\frac{2\,B\,\sqrt{c\,x^2+b\,x}}{5\,x^3}-\frac{2\,A\,c\,\sqrt{c\,x^2+b\,x}}{35\,b\,x^3}-\frac{2\,B\,c\,\sqrt{c\,x^2+b\,x}}{15\,b\,x^2}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{7\,x^4}-\frac{16\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{105\,b^3\,x}+\frac{4\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{15\,b^2\,x}","Not used",1,"(8*A*c^2*(b*x + c*x^2)^(1/2))/(105*b^2*x^2) - (2*B*(b*x + c*x^2)^(1/2))/(5*x^3) - (2*A*c*(b*x + c*x^2)^(1/2))/(35*b*x^3) - (2*B*c*(b*x + c*x^2)^(1/2))/(15*b*x^2) - (2*A*(b*x + c*x^2)^(1/2))/(7*x^4) - (16*A*c^3*(b*x + c*x^2)^(1/2))/(105*b^3*x) + (4*B*c^2*(b*x + c*x^2)^(1/2))/(15*b^2*x)","B"
76,1,192,125,1.940654,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^6,x)","\frac{4\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b^2\,x^3}-\frac{2\,B\,\sqrt{c\,x^2+b\,x}}{7\,x^4}-\frac{2\,A\,c\,\sqrt{c\,x^2+b\,x}}{63\,b\,x^4}-\frac{2\,B\,c\,\sqrt{c\,x^2+b\,x}}{35\,b\,x^3}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{16\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{315\,b^3\,x^2}+\frac{32\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{315\,b^4\,x}+\frac{8\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b^2\,x^2}-\frac{16\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{105\,b^3\,x}","Not used",1,"(4*A*c^2*(b*x + c*x^2)^(1/2))/(105*b^2*x^3) - (2*B*(b*x + c*x^2)^(1/2))/(7*x^4) - (2*A*c*(b*x + c*x^2)^(1/2))/(63*b*x^4) - (2*B*c*(b*x + c*x^2)^(1/2))/(35*b*x^3) - (2*A*(b*x + c*x^2)^(1/2))/(9*x^5) - (16*A*c^3*(b*x + c*x^2)^(1/2))/(315*b^3*x^2) + (32*A*c^4*(b*x + c*x^2)^(1/2))/(315*b^4*x) + (8*B*c^2*(b*x + c*x^2)^(1/2))/(105*b^2*x^2) - (16*B*c^3*(b*x + c*x^2)^(1/2))/(105*b^3*x)","B"
77,1,238,160,2.227362,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^7,x)","\frac{16\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{693\,b^2\,x^4}-\frac{2\,B\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{2\,A\,c\,\sqrt{c\,x^2+b\,x}}{99\,b\,x^5}-\frac{2\,B\,c\,\sqrt{c\,x^2+b\,x}}{63\,b\,x^4}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{32\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{1155\,b^3\,x^3}+\frac{128\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{3465\,b^4\,x^2}-\frac{256\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{3465\,b^5\,x}+\frac{4\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b^2\,x^3}-\frac{16\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{315\,b^3\,x^2}+\frac{32\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{315\,b^4\,x}","Not used",1,"(16*A*c^2*(b*x + c*x^2)^(1/2))/(693*b^2*x^4) - (2*B*(b*x + c*x^2)^(1/2))/(9*x^5) - (2*A*c*(b*x + c*x^2)^(1/2))/(99*b*x^5) - (2*B*c*(b*x + c*x^2)^(1/2))/(63*b*x^4) - (2*A*(b*x + c*x^2)^(1/2))/(11*x^6) - (32*A*c^3*(b*x + c*x^2)^(1/2))/(1155*b^3*x^3) + (128*A*c^4*(b*x + c*x^2)^(1/2))/(3465*b^4*x^2) - (256*A*c^5*(b*x + c*x^2)^(1/2))/(3465*b^5*x) + (4*B*c^2*(b*x + c*x^2)^(1/2))/(105*b^2*x^3) - (16*B*c^3*(b*x + c*x^2)^(1/2))/(315*b^3*x^2) + (32*B*c^4*(b*x + c*x^2)^(1/2))/(315*b^4*x)","B"
78,1,284,195,2.487467,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^8,x)","\frac{20\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{1287\,b^2\,x^5}-\frac{2\,B\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{2\,A\,c\,\sqrt{c\,x^2+b\,x}}{143\,b\,x^6}-\frac{2\,B\,c\,\sqrt{c\,x^2+b\,x}}{99\,b\,x^5}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{13\,x^7}-\frac{160\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{9009\,b^3\,x^4}+\frac{64\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{3003\,b^4\,x^3}-\frac{256\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{9009\,b^5\,x^2}+\frac{512\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{9009\,b^6\,x}+\frac{16\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{693\,b^2\,x^4}-\frac{32\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{1155\,b^3\,x^3}+\frac{128\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{3465\,b^4\,x^2}-\frac{256\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{3465\,b^5\,x}","Not used",1,"(20*A*c^2*(b*x + c*x^2)^(1/2))/(1287*b^2*x^5) - (2*B*(b*x + c*x^2)^(1/2))/(11*x^6) - (2*A*c*(b*x + c*x^2)^(1/2))/(143*b*x^6) - (2*B*c*(b*x + c*x^2)^(1/2))/(99*b*x^5) - (2*A*(b*x + c*x^2)^(1/2))/(13*x^7) - (160*A*c^3*(b*x + c*x^2)^(1/2))/(9009*b^3*x^4) + (64*A*c^4*(b*x + c*x^2)^(1/2))/(3003*b^4*x^3) - (256*A*c^5*(b*x + c*x^2)^(1/2))/(9009*b^5*x^2) + (512*A*c^6*(b*x + c*x^2)^(1/2))/(9009*b^6*x) + (16*B*c^2*(b*x + c*x^2)^(1/2))/(693*b^2*x^4) - (32*B*c^3*(b*x + c*x^2)^(1/2))/(1155*b^3*x^3) + (128*B*c^4*(b*x + c*x^2)^(1/2))/(3465*b^4*x^2) - (256*B*c^5*(b*x + c*x^2)^(1/2))/(3465*b^5*x)","B"
79,0,-1,238,0.000000,"\text{Not used}","int(x^3*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int x^3\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^3*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
80,0,-1,203,0.000000,"\text{Not used}","int(x^2*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^2*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
81,0,-1,151,0.000000,"\text{Not used}","int(x*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int x\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
82,1,208,134,1.453031,"\text{Not used}","int((b*x + c*x^2)^(3/2)*(A + B*x),x)","\frac{B\,{\left(c\,x^2+b\,x\right)}^{5/2}}{5\,c}+\frac{A\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(\frac{b}{2}+c\,x\right)}{4\,c}-\frac{B\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4}+\frac{b\,{\left(c\,x^2+b\,x\right)}^{3/2}}{8\,c}-\frac{3\,b^2\,\left(\frac{\sqrt{c\,x^2+b\,x}\,\left(b+2\,c\,x\right)}{4\,c}-\frac{b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}\right)}{16\,c}\right)}{2\,c}-\frac{3\,A\,b^2\,\left(\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}\right)}{16\,c}","Not used",1,"(B*(b*x + c*x^2)^(5/2))/(5*c) + (A*(b*x + c*x^2)^(3/2)*(b/2 + c*x))/(4*c) - (B*b*((x*(b*x + c*x^2)^(3/2))/4 + (b*(b*x + c*x^2)^(3/2))/(8*c) - (3*b^2*(((b*x + c*x^2)^(1/2)*(b + 2*c*x))/(4*c) - (b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))))/(16*c)))/(2*c) - (3*A*b^2*((b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))))/(16*c)","B"
83,0,-1,132,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x, x)","F"
84,0,-1,126,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^2,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^2, x)","F"
85,0,-1,118,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^3,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^3, x)","F"
86,0,-1,120,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^4,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^4} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^4, x)","F"
87,0,-1,95,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^5,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^5} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^5, x)","F"
88,1,142,57,2.024098,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^6,x)","\frac{4\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{35\,b^2\,x}-\frac{16\,A\,c\,\sqrt{c\,x^2+b\,x}}{35\,x^3}-\frac{2\,B\,b\,\sqrt{c\,x^2+b\,x}}{5\,x^3}-\frac{4\,B\,c\,\sqrt{c\,x^2+b\,x}}{5\,x^2}-\frac{2\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{35\,b\,x^2}-\frac{2\,A\,b\,\sqrt{c\,x^2+b\,x}}{7\,x^4}-\frac{2\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{5\,b\,x}","Not used",1,"(4*A*c^3*(b*x + c*x^2)^(1/2))/(35*b^2*x) - (16*A*c*(b*x + c*x^2)^(1/2))/(35*x^3) - (2*B*b*(b*x + c*x^2)^(1/2))/(5*x^3) - (4*B*c*(b*x + c*x^2)^(1/2))/(5*x^2) - (2*A*c^2*(b*x + c*x^2)^(1/2))/(35*b*x^2) - (2*A*b*(b*x + c*x^2)^(1/2))/(7*x^4) - (2*B*c^2*(b*x + c*x^2)^(1/2))/(5*b*x)","B"
89,1,188,90,2.396046,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^7,x)","\frac{8\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{315\,b^2\,x^2}-\frac{20\,A\,c\,\sqrt{c\,x^2+b\,x}}{63\,x^4}-\frac{2\,B\,b\,\sqrt{c\,x^2+b\,x}}{7\,x^4}-\frac{16\,B\,c\,\sqrt{c\,x^2+b\,x}}{35\,x^3}-\frac{2\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b\,x^3}-\frac{2\,A\,b\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{16\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{315\,b^3\,x}-\frac{2\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{35\,b\,x^2}+\frac{4\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{35\,b^2\,x}","Not used",1,"(8*A*c^3*(b*x + c*x^2)^(1/2))/(315*b^2*x^2) - (20*A*c*(b*x + c*x^2)^(1/2))/(63*x^4) - (2*B*b*(b*x + c*x^2)^(1/2))/(7*x^4) - (16*B*c*(b*x + c*x^2)^(1/2))/(35*x^3) - (2*A*c^2*(b*x + c*x^2)^(1/2))/(105*b*x^3) - (2*A*b*(b*x + c*x^2)^(1/2))/(9*x^5) - (16*A*c^4*(b*x + c*x^2)^(1/2))/(315*b^3*x) - (2*B*c^2*(b*x + c*x^2)^(1/2))/(35*b*x^2) + (4*B*c^3*(b*x + c*x^2)^(1/2))/(35*b^2*x)","B"
90,1,234,125,2.881557,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^8,x)","\frac{4\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{385\,b^2\,x^3}-\frac{8\,A\,c\,\sqrt{c\,x^2+b\,x}}{33\,x^5}-\frac{2\,B\,b\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{20\,B\,c\,\sqrt{c\,x^2+b\,x}}{63\,x^4}-\frac{2\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{231\,b\,x^4}-\frac{2\,A\,b\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{16\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{1155\,b^3\,x^2}+\frac{32\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{1155\,b^4\,x}-\frac{2\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{105\,b\,x^3}+\frac{8\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{315\,b^2\,x^2}-\frac{16\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{315\,b^3\,x}","Not used",1,"(4*A*c^3*(b*x + c*x^2)^(1/2))/(385*b^2*x^3) - (8*A*c*(b*x + c*x^2)^(1/2))/(33*x^5) - (2*B*b*(b*x + c*x^2)^(1/2))/(9*x^5) - (20*B*c*(b*x + c*x^2)^(1/2))/(63*x^4) - (2*A*c^2*(b*x + c*x^2)^(1/2))/(231*b*x^4) - (2*A*b*(b*x + c*x^2)^(1/2))/(11*x^6) - (16*A*c^4*(b*x + c*x^2)^(1/2))/(1155*b^3*x^2) + (32*A*c^5*(b*x + c*x^2)^(1/2))/(1155*b^4*x) - (2*B*c^2*(b*x + c*x^2)^(1/2))/(105*b*x^3) + (8*B*c^3*(b*x + c*x^2)^(1/2))/(315*b^2*x^2) - (16*B*c^4*(b*x + c*x^2)^(1/2))/(315*b^3*x)","B"
91,1,280,160,3.271091,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^9,x)","\frac{16\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{3003\,b^2\,x^4}-\frac{28\,A\,c\,\sqrt{c\,x^2+b\,x}}{143\,x^6}-\frac{2\,B\,b\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{8\,B\,c\,\sqrt{c\,x^2+b\,x}}{33\,x^5}-\frac{2\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{429\,b\,x^5}-\frac{2\,A\,b\,\sqrt{c\,x^2+b\,x}}{13\,x^7}-\frac{32\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{5005\,b^3\,x^3}+\frac{128\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{15015\,b^4\,x^2}-\frac{256\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{15015\,b^5\,x}-\frac{2\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{231\,b\,x^4}+\frac{4\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{385\,b^2\,x^3}-\frac{16\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{1155\,b^3\,x^2}+\frac{32\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{1155\,b^4\,x}","Not used",1,"(16*A*c^3*(b*x + c*x^2)^(1/2))/(3003*b^2*x^4) - (28*A*c*(b*x + c*x^2)^(1/2))/(143*x^6) - (2*B*b*(b*x + c*x^2)^(1/2))/(11*x^6) - (8*B*c*(b*x + c*x^2)^(1/2))/(33*x^5) - (2*A*c^2*(b*x + c*x^2)^(1/2))/(429*b*x^5) - (2*A*b*(b*x + c*x^2)^(1/2))/(13*x^7) - (32*A*c^4*(b*x + c*x^2)^(1/2))/(5005*b^3*x^3) + (128*A*c^5*(b*x + c*x^2)^(1/2))/(15015*b^4*x^2) - (256*A*c^6*(b*x + c*x^2)^(1/2))/(15015*b^5*x) - (2*B*c^2*(b*x + c*x^2)^(1/2))/(231*b*x^4) + (4*B*c^3*(b*x + c*x^2)^(1/2))/(385*b^2*x^3) - (16*B*c^4*(b*x + c*x^2)^(1/2))/(1155*b^3*x^2) + (32*B*c^5*(b*x + c*x^2)^(1/2))/(1155*b^4*x)","B"
92,1,326,195,3.779807,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^10,x)","\frac{4\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{1287\,b^2\,x^5}-\frac{32\,A\,c\,\sqrt{c\,x^2+b\,x}}{195\,x^7}-\frac{2\,B\,b\,\sqrt{c\,x^2+b\,x}}{13\,x^7}-\frac{28\,B\,c\,\sqrt{c\,x^2+b\,x}}{143\,x^6}-\frac{2\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{715\,b\,x^6}-\frac{2\,A\,b\,\sqrt{c\,x^2+b\,x}}{15\,x^8}-\frac{32\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{9009\,b^3\,x^4}+\frac{64\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{15015\,b^4\,x^3}-\frac{256\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{45045\,b^5\,x^2}+\frac{512\,A\,c^7\,\sqrt{c\,x^2+b\,x}}{45045\,b^6\,x}-\frac{2\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{429\,b\,x^5}+\frac{16\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{3003\,b^2\,x^4}-\frac{32\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{5005\,b^3\,x^3}+\frac{128\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{15015\,b^4\,x^2}-\frac{256\,B\,c^6\,\sqrt{c\,x^2+b\,x}}{15015\,b^5\,x}","Not used",1,"(4*A*c^3*(b*x + c*x^2)^(1/2))/(1287*b^2*x^5) - (32*A*c*(b*x + c*x^2)^(1/2))/(195*x^7) - (2*B*b*(b*x + c*x^2)^(1/2))/(13*x^7) - (28*B*c*(b*x + c*x^2)^(1/2))/(143*x^6) - (2*A*c^2*(b*x + c*x^2)^(1/2))/(715*b*x^6) - (2*A*b*(b*x + c*x^2)^(1/2))/(15*x^8) - (32*A*c^4*(b*x + c*x^2)^(1/2))/(9009*b^3*x^4) + (64*A*c^5*(b*x + c*x^2)^(1/2))/(15015*b^4*x^3) - (256*A*c^6*(b*x + c*x^2)^(1/2))/(45045*b^5*x^2) + (512*A*c^7*(b*x + c*x^2)^(1/2))/(45045*b^6*x) - (2*B*c^2*(b*x + c*x^2)^(1/2))/(429*b*x^5) + (16*B*c^3*(b*x + c*x^2)^(1/2))/(3003*b^2*x^4) - (32*B*c^4*(b*x + c*x^2)^(1/2))/(5005*b^3*x^3) + (128*B*c^5*(b*x + c*x^2)^(1/2))/(15015*b^4*x^2) - (256*B*c^6*(b*x + c*x^2)^(1/2))/(15015*b^5*x)","B"
93,0,-1,276,0.000000,"\text{Not used}","int(x^3*(b*x + c*x^2)^(5/2)*(A + B*x),x)","\int x^3\,{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^3*(b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
94,0,-1,241,0.000000,"\text{Not used}","int(x^2*(b*x + c*x^2)^(5/2)*(A + B*x),x)","\int x^2\,{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^2*(b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
95,0,-1,189,0.000000,"\text{Not used}","int(x*(b*x + c*x^2)^(5/2)*(A + B*x),x)","\int x\,{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x*(b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
96,0,-1,171,0.000000,"\text{Not used}","int((b*x + c*x^2)^(5/2)*(A + B*x),x)","\int {\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
97,0,-1,170,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x, x)","F"
98,0,-1,169,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^2,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^2, x)","F"
99,0,-1,155,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^3,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^3, x)","F"
100,0,-1,153,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^4,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^4} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^4, x)","F"
101,0,-1,157,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^5,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^5} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^5, x)","F"
102,0,-1,155,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^6,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^6} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^6, x)","F"
103,0,-1,119,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^7,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^7} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^7, x)","F"
104,1,188,57,2.888896,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^8,x)","\frac{4\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{63\,b^2\,x}-\frac{10\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{21\,x^3}-\frac{2\,B\,b^2\,\sqrt{c\,x^2+b\,x}}{7\,x^4}-\frac{6\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{7\,x^2}-\frac{2\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{63\,b\,x^2}-\frac{2\,A\,b^2\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{2\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{7\,b\,x}-\frac{38\,A\,b\,c\,\sqrt{c\,x^2+b\,x}}{63\,x^4}-\frac{6\,B\,b\,c\,\sqrt{c\,x^2+b\,x}}{7\,x^3}","Not used",1,"(4*A*c^4*(b*x + c*x^2)^(1/2))/(63*b^2*x) - (10*A*c^2*(b*x + c*x^2)^(1/2))/(21*x^3) - (2*B*b^2*(b*x + c*x^2)^(1/2))/(7*x^4) - (6*B*c^2*(b*x + c*x^2)^(1/2))/(7*x^2) - (2*A*c^3*(b*x + c*x^2)^(1/2))/(63*b*x^2) - (2*A*b^2*(b*x + c*x^2)^(1/2))/(9*x^5) - (2*B*c^3*(b*x + c*x^2)^(1/2))/(7*b*x) - (38*A*b*c*(b*x + c*x^2)^(1/2))/(63*x^4) - (6*B*b*c*(b*x + c*x^2)^(1/2))/(7*x^3)","B"
105,1,234,90,3.464010,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^9,x)","\frac{8\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{693\,b^2\,x^2}-\frac{226\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{693\,x^4}-\frac{2\,B\,b^2\,\sqrt{c\,x^2+b\,x}}{9\,x^5}-\frac{10\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{21\,x^3}-\frac{2\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{231\,b\,x^3}-\frac{2\,A\,b^2\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{16\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{693\,b^3\,x}-\frac{2\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{63\,b\,x^2}+\frac{4\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{63\,b^2\,x}-\frac{46\,A\,b\,c\,\sqrt{c\,x^2+b\,x}}{99\,x^5}-\frac{38\,B\,b\,c\,\sqrt{c\,x^2+b\,x}}{63\,x^4}","Not used",1,"(8*A*c^4*(b*x + c*x^2)^(1/2))/(693*b^2*x^2) - (226*A*c^2*(b*x + c*x^2)^(1/2))/(693*x^4) - (2*B*b^2*(b*x + c*x^2)^(1/2))/(9*x^5) - (10*B*c^2*(b*x + c*x^2)^(1/2))/(21*x^3) - (2*A*c^3*(b*x + c*x^2)^(1/2))/(231*b*x^3) - (2*A*b^2*(b*x + c*x^2)^(1/2))/(11*x^6) - (16*A*c^5*(b*x + c*x^2)^(1/2))/(693*b^3*x) - (2*B*c^3*(b*x + c*x^2)^(1/2))/(63*b*x^2) + (4*B*c^4*(b*x + c*x^2)^(1/2))/(63*b^2*x) - (46*A*b*c*(b*x + c*x^2)^(1/2))/(99*x^5) - (38*B*b*c*(b*x + c*x^2)^(1/2))/(63*x^4)","B"
106,1,280,125,4.085159,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^10,x)","\frac{4\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{1001\,b^2\,x^3}-\frac{106\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{429\,x^5}-\frac{2\,B\,b^2\,\sqrt{c\,x^2+b\,x}}{11\,x^6}-\frac{226\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{693\,x^4}-\frac{10\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{3003\,b\,x^4}-\frac{2\,A\,b^2\,\sqrt{c\,x^2+b\,x}}{13\,x^7}-\frac{16\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{3003\,b^3\,x^2}+\frac{32\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{3003\,b^4\,x}-\frac{2\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{231\,b\,x^3}+\frac{8\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{693\,b^2\,x^2}-\frac{16\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{693\,b^3\,x}-\frac{54\,A\,b\,c\,\sqrt{c\,x^2+b\,x}}{143\,x^6}-\frac{46\,B\,b\,c\,\sqrt{c\,x^2+b\,x}}{99\,x^5}","Not used",1,"(4*A*c^4*(b*x + c*x^2)^(1/2))/(1001*b^2*x^3) - (106*A*c^2*(b*x + c*x^2)^(1/2))/(429*x^5) - (2*B*b^2*(b*x + c*x^2)^(1/2))/(11*x^6) - (226*B*c^2*(b*x + c*x^2)^(1/2))/(693*x^4) - (10*A*c^3*(b*x + c*x^2)^(1/2))/(3003*b*x^4) - (2*A*b^2*(b*x + c*x^2)^(1/2))/(13*x^7) - (16*A*c^5*(b*x + c*x^2)^(1/2))/(3003*b^3*x^2) + (32*A*c^6*(b*x + c*x^2)^(1/2))/(3003*b^4*x) - (2*B*c^3*(b*x + c*x^2)^(1/2))/(231*b*x^3) + (8*B*c^4*(b*x + c*x^2)^(1/2))/(693*b^2*x^2) - (16*B*c^5*(b*x + c*x^2)^(1/2))/(693*b^3*x) - (54*A*b*c*(b*x + c*x^2)^(1/2))/(143*x^6) - (46*B*b*c*(b*x + c*x^2)^(1/2))/(99*x^5)","B"
107,1,326,160,4.761403,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^11,x)","\frac{16\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{9009\,b^2\,x^4}-\frac{142\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{715\,x^6}-\frac{2\,B\,b^2\,\sqrt{c\,x^2+b\,x}}{13\,x^7}-\frac{106\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{429\,x^5}-\frac{2\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{1287\,b\,x^5}-\frac{2\,A\,b^2\,\sqrt{c\,x^2+b\,x}}{15\,x^8}-\frac{32\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{15015\,b^3\,x^3}+\frac{128\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{45045\,b^4\,x^2}-\frac{256\,A\,c^7\,\sqrt{c\,x^2+b\,x}}{45045\,b^5\,x}-\frac{10\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{3003\,b\,x^4}+\frac{4\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{1001\,b^2\,x^3}-\frac{16\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{3003\,b^3\,x^2}+\frac{32\,B\,c^6\,\sqrt{c\,x^2+b\,x}}{3003\,b^4\,x}-\frac{62\,A\,b\,c\,\sqrt{c\,x^2+b\,x}}{195\,x^7}-\frac{54\,B\,b\,c\,\sqrt{c\,x^2+b\,x}}{143\,x^6}","Not used",1,"(16*A*c^4*(b*x + c*x^2)^(1/2))/(9009*b^2*x^4) - (142*A*c^2*(b*x + c*x^2)^(1/2))/(715*x^6) - (2*B*b^2*(b*x + c*x^2)^(1/2))/(13*x^7) - (106*B*c^2*(b*x + c*x^2)^(1/2))/(429*x^5) - (2*A*c^3*(b*x + c*x^2)^(1/2))/(1287*b*x^5) - (2*A*b^2*(b*x + c*x^2)^(1/2))/(15*x^8) - (32*A*c^5*(b*x + c*x^2)^(1/2))/(15015*b^3*x^3) + (128*A*c^6*(b*x + c*x^2)^(1/2))/(45045*b^4*x^2) - (256*A*c^7*(b*x + c*x^2)^(1/2))/(45045*b^5*x) - (10*B*c^3*(b*x + c*x^2)^(1/2))/(3003*b*x^4) + (4*B*c^4*(b*x + c*x^2)^(1/2))/(1001*b^2*x^3) - (16*B*c^5*(b*x + c*x^2)^(1/2))/(3003*b^3*x^2) + (32*B*c^6*(b*x + c*x^2)^(1/2))/(3003*b^4*x) - (62*A*b*c*(b*x + c*x^2)^(1/2))/(195*x^7) - (54*B*b*c*(b*x + c*x^2)^(1/2))/(143*x^6)","B"
108,1,372,195,5.396692,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^12,x)","\frac{20\,A\,c^4\,\sqrt{c\,x^2+b\,x}}{21879\,b^2\,x^5}-\frac{110\,A\,c^2\,\sqrt{c\,x^2+b\,x}}{663\,x^7}-\frac{2\,B\,b^2\,\sqrt{c\,x^2+b\,x}}{15\,x^8}-\frac{142\,B\,c^2\,\sqrt{c\,x^2+b\,x}}{715\,x^6}-\frac{2\,A\,c^3\,\sqrt{c\,x^2+b\,x}}{2431\,b\,x^6}-\frac{2\,A\,b^2\,\sqrt{c\,x^2+b\,x}}{17\,x^9}-\frac{160\,A\,c^5\,\sqrt{c\,x^2+b\,x}}{153153\,b^3\,x^4}+\frac{64\,A\,c^6\,\sqrt{c\,x^2+b\,x}}{51051\,b^4\,x^3}-\frac{256\,A\,c^7\,\sqrt{c\,x^2+b\,x}}{153153\,b^5\,x^2}+\frac{512\,A\,c^8\,\sqrt{c\,x^2+b\,x}}{153153\,b^6\,x}-\frac{2\,B\,c^3\,\sqrt{c\,x^2+b\,x}}{1287\,b\,x^5}+\frac{16\,B\,c^4\,\sqrt{c\,x^2+b\,x}}{9009\,b^2\,x^4}-\frac{32\,B\,c^5\,\sqrt{c\,x^2+b\,x}}{15015\,b^3\,x^3}+\frac{128\,B\,c^6\,\sqrt{c\,x^2+b\,x}}{45045\,b^4\,x^2}-\frac{256\,B\,c^7\,\sqrt{c\,x^2+b\,x}}{45045\,b^5\,x}-\frac{14\,A\,b\,c\,\sqrt{c\,x^2+b\,x}}{51\,x^8}-\frac{62\,B\,b\,c\,\sqrt{c\,x^2+b\,x}}{195\,x^7}","Not used",1,"(20*A*c^4*(b*x + c*x^2)^(1/2))/(21879*b^2*x^5) - (110*A*c^2*(b*x + c*x^2)^(1/2))/(663*x^7) - (2*B*b^2*(b*x + c*x^2)^(1/2))/(15*x^8) - (142*B*c^2*(b*x + c*x^2)^(1/2))/(715*x^6) - (2*A*c^3*(b*x + c*x^2)^(1/2))/(2431*b*x^6) - (2*A*b^2*(b*x + c*x^2)^(1/2))/(17*x^9) - (160*A*c^5*(b*x + c*x^2)^(1/2))/(153153*b^3*x^4) + (64*A*c^6*(b*x + c*x^2)^(1/2))/(51051*b^4*x^3) - (256*A*c^7*(b*x + c*x^2)^(1/2))/(153153*b^5*x^2) + (512*A*c^8*(b*x + c*x^2)^(1/2))/(153153*b^6*x) - (2*B*c^3*(b*x + c*x^2)^(1/2))/(1287*b*x^5) + (16*B*c^4*(b*x + c*x^2)^(1/2))/(9009*b^2*x^4) - (32*B*c^5*(b*x + c*x^2)^(1/2))/(15015*b^3*x^3) + (128*B*c^6*(b*x + c*x^2)^(1/2))/(45045*b^4*x^2) - (256*B*c^7*(b*x + c*x^2)^(1/2))/(45045*b^5*x) - (14*A*b*c*(b*x + c*x^2)^(1/2))/(51*x^8) - (62*B*b*c*(b*x + c*x^2)^(1/2))/(195*x^7)","B"
109,0,-1,197,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^4*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
110,0,-1,162,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^3*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
111,0,-1,127,0.000000,"\text{Not used}","int((x^2*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^2*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
112,0,-1,75,0.000000,"\text{Not used}","int((x*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
113,1,77,55,1.347551,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(1/2),x)","\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{\sqrt{c}}+\frac{B\,\sqrt{c\,x^2+b\,x}}{c}-\frac{B\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{2\,c^{3/2}}","Not used",1,"(A*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/c^(1/2) + (B*(b*x + c*x^2)^(1/2))/c - (B*b*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(2*c^(3/2))","B"
114,1,50,52,1.272909,"\text{Not used}","int((A + B*x)/(x*(b*x + c*x^2)^(1/2)),x)","\frac{B\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{\sqrt{c}}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{b\,x}","Not used",1,"(B*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/c^(1/2) - (2*A*(b*x + c*x^2)^(1/2))/(b*x)","B"
115,1,33,57,1.089563,"\text{Not used}","int((A + B*x)/(x^2*(b*x + c*x^2)^(1/2)),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(A\,b-2\,A\,c\,x+3\,B\,b\,x\right)}{3\,b^2\,x^2}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(A*b - 2*A*c*x + 3*B*b*x))/(3*b^2*x^2)","B"
116,1,56,90,1.093147,"\text{Not used}","int((A + B*x)/(x^3*(b*x + c*x^2)^(1/2)),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(5\,B\,b^2\,x+3\,A\,b^2-10\,B\,b\,c\,x^2-4\,A\,b\,c\,x+8\,A\,c^2\,x^2\right)}{15\,b^3\,x^3}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(3*A*b^2 + 8*A*c^2*x^2 + 5*B*b^2*x - 10*B*b*c*x^2 - 4*A*b*c*x))/(15*b^3*x^3)","B"
117,1,113,125,1.122005,"\text{Not used}","int((A + B*x)/(x^4*(b*x + c*x^2)^(1/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(96\,A\,c^3-112\,B\,b\,c^2\right)}{105\,b^4\,x}-\frac{\left(48\,A\,c^2-56\,B\,b\,c\right)\,\sqrt{c\,x^2+b\,x}}{105\,b^3\,x^2}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{7\,b\,x^4}+\frac{\sqrt{c\,x^2+b\,x}\,\left(12\,A\,c-14\,B\,b\right)}{35\,b^2\,x^3}","Not used",1,"((b*x + c*x^2)^(1/2)*(96*A*c^3 - 112*B*b*c^2))/(105*b^4*x) - ((48*A*c^2 - 56*B*b*c)*(b*x + c*x^2)^(1/2))/(105*b^3*x^2) - (2*A*(b*x + c*x^2)^(1/2))/(7*b*x^4) + ((b*x + c*x^2)^(1/2)*(12*A*c - 14*B*b))/(35*b^2*x^3)","B"
118,1,146,160,1.100553,"\text{Not used}","int((A + B*x)/(x^5*(b*x + c*x^2)^(1/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(128\,A\,c^3-144\,B\,b\,c^2\right)}{315\,b^4\,x^2}-\frac{\sqrt{c\,x^2+b\,x}\,\left(256\,A\,c^4-288\,B\,b\,c^3\right)}{315\,b^5\,x}-\frac{\left(32\,A\,c^2-36\,B\,b\,c\right)\,\sqrt{c\,x^2+b\,x}}{105\,b^3\,x^3}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{9\,b\,x^5}+\frac{\sqrt{c\,x^2+b\,x}\,\left(16\,A\,c-18\,B\,b\right)}{63\,b^2\,x^4}","Not used",1,"((b*x + c*x^2)^(1/2)*(128*A*c^3 - 144*B*b*c^2))/(315*b^4*x^2) - ((b*x + c*x^2)^(1/2)*(256*A*c^4 - 288*B*b*c^3))/(315*b^5*x) - ((32*A*c^2 - 36*B*b*c)*(b*x + c*x^2)^(1/2))/(105*b^3*x^3) - (2*A*(b*x + c*x^2)^(1/2))/(9*b*x^5) + ((b*x + c*x^2)^(1/2)*(16*A*c - 18*B*b))/(63*b^2*x^4)","B"
119,1,177,195,1.117385,"\text{Not used}","int((A + B*x)/(x^6*(b*x + c*x^2)^(1/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(320\,A\,c^3-352\,B\,b\,c^2\right)}{1155\,b^4\,x^3}-\frac{\sqrt{c\,x^2+b\,x}\,\left(1280\,A\,c^4-1408\,B\,b\,c^3\right)}{3465\,b^5\,x^2}-\frac{\left(160\,A\,c^2-176\,B\,b\,c\right)\,\sqrt{c\,x^2+b\,x}}{693\,b^3\,x^4}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{11\,b\,x^6}+\frac{\sqrt{c\,x^2+b\,x}\,\left(20\,A\,c-22\,B\,b\right)}{99\,b^2\,x^5}+\frac{256\,c^4\,\sqrt{c\,x^2+b\,x}\,\left(10\,A\,c-11\,B\,b\right)}{3465\,b^6\,x}","Not used",1,"((b*x + c*x^2)^(1/2)*(320*A*c^3 - 352*B*b*c^2))/(1155*b^4*x^3) - ((b*x + c*x^2)^(1/2)*(1280*A*c^4 - 1408*B*b*c^3))/(3465*b^5*x^2) - ((160*A*c^2 - 176*B*b*c)*(b*x + c*x^2)^(1/2))/(693*b^3*x^4) - (2*A*(b*x + c*x^2)^(1/2))/(11*b*x^6) + ((b*x + c*x^2)^(1/2)*(20*A*c - 22*B*b))/(99*b^2*x^5) + (256*c^4*(b*x + c*x^2)^(1/2)*(10*A*c - 11*B*b))/(3465*b^6*x)","B"
120,0,-1,170,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
121,0,-1,135,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
122,0,-1,99,0.000000,"\text{Not used}","int((x^2*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
123,1,64,60,1.327903,"\text{Not used}","int((x*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\frac{B\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{c^{3/2}}+\frac{2\,A\,x}{b\,\sqrt{x\,\left(b+c\,x\right)}}-\frac{2\,B\,x}{c\,\sqrt{c\,x^2+b\,x}}","Not used",1,"(B*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/c^(3/2) + (2*A*x)/(b*(x*(b + c*x))^(1/2)) - (2*B*x)/(c*(b*x + c*x^2)^(1/2))","B"
124,1,31,33,1.117784,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(3/2),x)","-\frac{2\,A\,b+4\,A\,c\,x-2\,B\,b\,x}{b^2\,\sqrt{c\,x^2+b\,x}}","Not used",1,"-(2*A*b + 4*A*c*x - 2*B*b*x)/(b^2*(b*x + c*x^2)^(1/2))","B"
125,1,62,60,1.158505,"\text{Not used}","int((A + B*x)/(x*(b*x + c*x^2)^(3/2)),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(3\,B\,b^2\,x+A\,b^2+6\,B\,b\,c\,x^2-4\,A\,b\,c\,x-8\,A\,c^2\,x^2\right)}{3\,b^3\,x^2\,\left(b+c\,x\right)}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(A*b^2 - 8*A*c^2*x^2 + 3*B*b^2*x + 6*B*b*c*x^2 - 4*A*b*c*x))/(3*b^3*x^2*(b + c*x))","B"
126,1,87,93,1.228887,"\text{Not used}","int((A + B*x)/(x^2*(b*x + c*x^2)^(3/2)),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(5\,B\,b^3\,x+3\,A\,b^3-20\,B\,b^2\,c\,x^2-6\,A\,b^2\,c\,x-40\,B\,b\,c^2\,x^3+24\,A\,b\,c^2\,x^2+48\,A\,c^3\,x^3\right)}{15\,b^4\,x^3\,\left(b+c\,x\right)}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(3*A*b^3 + 48*A*c^3*x^3 + 5*B*b^3*x - 6*A*b^2*c*x + 24*A*b*c^2*x^2 - 20*B*b^2*c*x^2 - 40*B*b*c^2*x^3))/(15*b^4*x^3*(b + c*x))","B"
127,1,161,128,1.290410,"\text{Not used}","int((A + B*x)/(x^3*(b*x + c*x^2)^(3/2)),x)","-\frac{\left(14\,B\,b^2-26\,A\,b\,c\right)\,\sqrt{c\,x^2+b\,x}}{35\,b^4\,x^3}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{7\,b^2\,x^4}-\frac{\sqrt{c\,x^2+b\,x}\,\left(x\,\left(\frac{116\,A\,c^4-84\,B\,b\,c^3}{35\,b^5}-\frac{4\,c^3\,\left(93\,A\,c-77\,B\,b\right)}{35\,b^5}\right)-\frac{2\,c^2\,\left(93\,A\,c-77\,B\,b\right)}{35\,b^4}\right)}{x\,\left(b+c\,x\right)}-\frac{2\,c\,\sqrt{c\,x^2+b\,x}\,\left(29\,A\,c-21\,B\,b\right)}{35\,b^4\,x^2}","Not used",1,"- ((14*B*b^2 - 26*A*b*c)*(b*x + c*x^2)^(1/2))/(35*b^4*x^3) - (2*A*(b*x + c*x^2)^(1/2))/(7*b^2*x^4) - ((b*x + c*x^2)^(1/2)*(x*((116*A*c^4 - 84*B*b*c^3)/(35*b^5) - (4*c^3*(93*A*c - 77*B*b))/(35*b^5)) - (2*c^2*(93*A*c - 77*B*b))/(35*b^4)))/(x*(b + c*x)) - (2*c*(b*x + c*x^2)^(1/2)*(29*A*c - 21*B*b))/(35*b^4*x^2)","B"
128,1,191,163,1.358350,"\text{Not used}","int((A + B*x)/(x^4*(b*x + c*x^2)^(3/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(x\,\left(\frac{1300\,A\,c^5-1044\,B\,b\,c^4}{315\,b^6}-\frac{4\,c^4\,\left(965\,A\,c-837\,B\,b\right)}{315\,b^6}\right)-\frac{2\,c^3\,\left(965\,A\,c-837\,B\,b\right)}{315\,b^5}\right)}{x\,\left(b+c\,x\right)}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{9\,b^2\,x^5}-\frac{\left(18\,B\,b^2-34\,A\,b\,c\right)\,\sqrt{c\,x^2+b\,x}}{63\,b^4\,x^4}-\frac{2\,c\,\sqrt{c\,x^2+b\,x}\,\left(55\,A\,c-39\,B\,b\right)}{105\,b^4\,x^3}+\frac{2\,c^2\,\sqrt{c\,x^2+b\,x}\,\left(325\,A\,c-261\,B\,b\right)}{315\,b^5\,x^2}","Not used",1,"((b*x + c*x^2)^(1/2)*(x*((1300*A*c^5 - 1044*B*b*c^4)/(315*b^6) - (4*c^4*(965*A*c - 837*B*b))/(315*b^6)) - (2*c^3*(965*A*c - 837*B*b))/(315*b^5)))/(x*(b + c*x)) - (2*A*(b*x + c*x^2)^(1/2))/(9*b^2*x^5) - ((18*B*b^2 - 34*A*b*c)*(b*x + c*x^2)^(1/2))/(63*b^4*x^4) - (2*c*(b*x + c*x^2)^(1/2)*(55*A*c - 39*B*b))/(105*b^4*x^3) + (2*c^2*(b*x + c*x^2)^(1/2)*(325*A*c - 261*B*b))/(315*b^5*x^2)","B"
129,0,-1,172,0.000000,"\text{Not used}","int((x^5*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^5\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^5*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
130,0,-1,136,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
131,0,-1,84,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
132,1,37,67,1.163344,"\text{Not used}","int((x^2*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(3\,A\,b+2\,A\,c\,x+B\,b\,x\right)}{3\,b^2\,{\left(b+c\,x\right)}^2}","Not used",1,"(2*(b*x + c*x^2)^(1/2)*(3*A*b + 2*A*c*x + B*b*x))/(3*b^2*(b + c*x)^2)","B"
133,1,63,70,1.183037,"\text{Not used}","int((x*(A + B*x))/(b*x + c*x^2)^(5/2),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(-3\,B\,b^2\,x+3\,A\,b^2-2\,B\,b\,c\,x^2+12\,A\,b\,c\,x+8\,A\,c^2\,x^2\right)}{3\,b^3\,x\,{\left(b+c\,x\right)}^2}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(3*A*b^2 + 8*A*c^2*x^2 - 3*B*b^2*x - 2*B*b*c*x^2 + 12*A*b*c*x))/(3*b^3*x*(b + c*x)^2)","B"
134,1,76,70,1.145729,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(3\,B\,b^3\,x+A\,b^3+12\,B\,b^2\,c\,x^2-6\,A\,b^2\,c\,x+8\,B\,b\,c^2\,x^3-24\,A\,b\,c^2\,x^2-16\,A\,c^3\,x^3\right)}{3\,b^4\,{\left(c\,x^2+b\,x\right)}^{3/2}}","Not used",1,"-(2*(A*b^3 - 16*A*c^3*x^3 + 3*B*b^3*x - 6*A*b^2*c*x - 24*A*b*c^2*x^2 + 12*B*b^2*c*x^2 + 8*B*b*c^2*x^3))/(3*b^4*(b*x + c*x^2)^(3/2))","B"
135,1,111,96,1.254656,"\text{Not used}","int((A + B*x)/(x*(b*x + c*x^2)^(5/2)),x)","-\frac{2\,\sqrt{c\,x^2+b\,x}\,\left(5\,B\,b^4\,x+3\,A\,b^4-30\,B\,b^3\,c\,x^2-8\,A\,b^3\,c\,x-120\,B\,b^2\,c^2\,x^3+48\,A\,b^2\,c^2\,x^2-80\,B\,b\,c^3\,x^4+192\,A\,b\,c^3\,x^3+128\,A\,c^4\,x^4\right)}{15\,b^5\,x^3\,{\left(b+c\,x\right)}^2}","Not used",1,"-(2*(b*x + c*x^2)^(1/2)*(3*A*b^4 + 128*A*c^4*x^4 + 5*B*b^4*x - 8*A*b^3*c*x + 192*A*b*c^3*x^3 - 30*B*b^3*c*x^2 - 80*B*b*c^3*x^4 + 48*A*b^2*c^2*x^2 - 120*B*b^2*c^2*x^3))/(15*b^5*x^3*(b + c*x)^2)","B"
136,1,235,131,1.332329,"\text{Not used}","int((A + B*x)/(x^2*(b*x + c*x^2)^(5/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(\frac{1280\,A\,c^3-896\,B\,b\,c^2}{105\,b^5}+\frac{2\,c\,x\,\left(1280\,A\,c^3-896\,B\,b\,c^2\right)}{105\,b^6}\right)}{x\,\left(b+c\,x\right)}-\frac{\sqrt{c\,x^2+b\,x}\,\left(14\,B\,b^3-40\,A\,b^2\,c\right)}{35\,b^6\,x^3}-\frac{\sqrt{c\,x^2+b\,x}\,\left(x\,\left(\frac{4\,c^2\,\left(185\,A\,c-98\,B\,b\right)}{105\,b^4}+\frac{2\,c^2\,\left(230\,A\,c-91\,B\,b\right)}{105\,b^4}+\frac{b\,\left(\frac{160\,A\,c^4-56\,B\,b\,c^3}{105\,b^5}-\frac{4\,c^3\,\left(230\,A\,c-91\,B\,b\right)}{105\,b^5}\right)}{c}\right)+\frac{2\,c\,\left(185\,A\,c-98\,B\,b\right)}{105\,b^3}\right)}{x^2\,{\left(b+c\,x\right)}^2}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{7\,b^3\,x^4}","Not used",1,"((b*x + c*x^2)^(1/2)*((1280*A*c^3 - 896*B*b*c^2)/(105*b^5) + (2*c*x*(1280*A*c^3 - 896*B*b*c^2))/(105*b^6)))/(x*(b + c*x)) - ((b*x + c*x^2)^(1/2)*(14*B*b^3 - 40*A*b^2*c))/(35*b^6*x^3) - ((b*x + c*x^2)^(1/2)*(x*((4*c^2*(185*A*c - 98*B*b))/(105*b^4) + (2*c^2*(230*A*c - 91*B*b))/(105*b^4) + (b*((160*A*c^4 - 56*B*b*c^3)/(105*b^5) - (4*c^3*(230*A*c - 91*B*b))/(105*b^5)))/c) + (2*c*(185*A*c - 98*B*b))/(105*b^3)))/(x^2*(b + c*x)^2) - (2*A*(b*x + c*x^2)^(1/2))/(7*b^3*x^4)","B"
137,1,266,166,1.413856,"\text{Not used}","int((A + B*x)/(x^3*(b*x + c*x^2)^(5/2)),x)","\frac{\sqrt{c\,x^2+b\,x}\,\left(x\,\left(\frac{4\,c^3\,\left(176\,A\,c-111\,B\,b\right)}{63\,b^5}+\frac{2\,c^3\,\left(247\,A\,c-138\,B\,b\right)}{63\,b^5}+\frac{b\,\left(\frac{184\,A\,c^5-96\,B\,b\,c^4}{63\,b^6}-\frac{4\,c^4\,\left(247\,A\,c-138\,B\,b\right)}{63\,b^6}\right)}{c}\right)+\frac{2\,c^2\,\left(176\,A\,c-111\,B\,b\right)}{63\,b^4}\right)}{x^2\,{\left(b+c\,x\right)}^2}-\frac{\sqrt{c\,x^2+b\,x}\,\left(18\,B\,b^3-52\,A\,b^2\,c\right)}{63\,b^6\,x^4}-\frac{\sqrt{c\,x^2+b\,x}\,\left(\frac{1024\,A\,c^4-768\,B\,b\,c^3}{63\,b^6}+\frac{2\,c\,x\,\left(1024\,A\,c^4-768\,B\,b\,c^3\right)}{63\,b^7}\right)}{x\,\left(b+c\,x\right)}-\frac{2\,A\,\sqrt{c\,x^2+b\,x}}{9\,b^3\,x^5}-\frac{2\,c\,\sqrt{c\,x^2+b\,x}\,\left(23\,A\,c-12\,B\,b\right)}{21\,b^5\,x^3}","Not used",1,"((b*x + c*x^2)^(1/2)*(x*((4*c^3*(176*A*c - 111*B*b))/(63*b^5) + (2*c^3*(247*A*c - 138*B*b))/(63*b^5) + (b*((184*A*c^5 - 96*B*b*c^4)/(63*b^6) - (4*c^4*(247*A*c - 138*B*b))/(63*b^6)))/c) + (2*c^2*(176*A*c - 111*B*b))/(63*b^4)))/(x^2*(b + c*x)^2) - ((b*x + c*x^2)^(1/2)*(18*B*b^3 - 52*A*b^2*c))/(63*b^6*x^4) - ((b*x + c*x^2)^(1/2)*((1024*A*c^4 - 768*B*b*c^3)/(63*b^6) + (2*c*x*(1024*A*c^4 - 768*B*b*c^3))/(63*b^7)))/(x*(b + c*x)) - (2*A*(b*x + c*x^2)^(1/2))/(9*b^3*x^5) - (2*c*(b*x + c*x^2)^(1/2)*(23*A*c - 12*B*b))/(21*b^5*x^3)","B"
138,1,125,107,1.195675,"\text{Not used}","int((d + e*x)/(b*x + c*x^2)^(7/2),x)","-\frac{2\,\left(5\,e\,b^5\,x+3\,d\,b^5-40\,e\,b^4\,c\,x^2-10\,d\,b^4\,c\,x-240\,e\,b^3\,c^2\,x^3+80\,d\,b^3\,c^2\,x^2-320\,e\,b^2\,c^3\,x^4+480\,d\,b^2\,c^3\,x^3-128\,e\,b\,c^4\,x^5+640\,d\,b\,c^4\,x^4+256\,d\,c^5\,x^5\right)}{15\,b^6\,{\left(c\,x^2+b\,x\right)}^{5/2}}","Not used",1,"-(2*(3*b^5*d + 256*c^5*d*x^5 + 5*b^5*e*x + 80*b^3*c^2*d*x^2 + 480*b^2*c^3*d*x^3 - 240*b^3*c^2*e*x^3 - 320*b^2*c^3*e*x^4 - 10*b^4*c*d*x + 640*b*c^4*d*x^4 - 40*b^4*c*e*x^2 - 128*b*c^4*e*x^5))/(15*b^6*(b*x + c*x^2)^(5/2))","B"
139,1,185,145,1.198162,"\text{Not used}","int((d + e*x)/(b*x + c*x^2)^(9/2),x)","\frac{\frac{2048\,c^3\,d-1024\,b\,c^2\,e}{35\,b^7}+\frac{2\,c\,x\,\left(2048\,c^3\,d-1024\,b\,c^2\,e\right)}{35\,b^8}}{\sqrt{c\,x^2+b\,x}}-\frac{\frac{256\,c^2\,d-128\,b\,c\,e}{35\,b^5}+\frac{2\,c\,x\,\left(256\,c^2\,d-128\,b\,c\,e\right)}{35\,b^6}}{{\left(c\,x^2+b\,x\right)}^{3/2}}-\frac{\frac{2\,d}{7\,b}-x\,\left(\frac{2\,e}{7\,b}-\frac{4\,c\,d}{7\,b^2}\right)}{{\left(c\,x^2+b\,x\right)}^{7/2}}-\frac{\frac{24\,b\,e-48\,c\,d}{35\,b^3}+\frac{2\,c\,x\,\left(24\,b\,e-48\,c\,d\right)}{35\,b^4}}{{\left(c\,x^2+b\,x\right)}^{5/2}}","Not used",1,"((2048*c^3*d - 1024*b*c^2*e)/(35*b^7) + (2*c*x*(2048*c^3*d - 1024*b*c^2*e))/(35*b^8))/(b*x + c*x^2)^(1/2) - ((256*c^2*d - 128*b*c*e)/(35*b^5) + (2*c*x*(256*c^2*d - 128*b*c*e))/(35*b^6))/(b*x + c*x^2)^(3/2) - ((2*d)/(7*b) - x*((2*e)/(7*b) - (4*c*d)/(7*b^2)))/(b*x + c*x^2)^(7/2) - ((24*b*e - 48*c*d)/(35*b^3) + (2*c*x*(24*b*e - 48*c*d))/(35*b^4))/(b*x + c*x^2)^(5/2)","B"
140,1,27,39,0.050153,"\text{Not used}","int(x^(7/2)*(b*x + c*x^2)*(A + B*x),x)","\frac{2\,x^{11/2}\,\left(195\,A\,b+165\,A\,c\,x+165\,B\,b\,x+143\,B\,c\,x^2\right)}{2145}","Not used",1,"(2*x^(11/2)*(195*A*b + 165*A*c*x + 165*B*b*x + 143*B*c*x^2))/2145","B"
141,1,27,39,0.041131,"\text{Not used}","int(x^(5/2)*(b*x + c*x^2)*(A + B*x),x)","\frac{2\,x^{9/2}\,\left(143\,A\,b+117\,A\,c\,x+117\,B\,b\,x+99\,B\,c\,x^2\right)}{1287}","Not used",1,"(2*x^(9/2)*(143*A*b + 117*A*c*x + 117*B*b*x + 99*B*c*x^2))/1287","B"
142,1,27,39,1.020637,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)*(A + B*x),x)","\frac{2\,x^{7/2}\,\left(99\,A\,b+77\,A\,c\,x+77\,B\,b\,x+63\,B\,c\,x^2\right)}{693}","Not used",1,"(2*x^(7/2)*(99*A*b + 77*A*c*x + 77*B*b*x + 63*B*c*x^2))/693","B"
143,1,27,39,0.044212,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)*(A + B*x),x)","\frac{2\,x^{5/2}\,\left(63\,A\,b+45\,A\,c\,x+45\,B\,b\,x+35\,B\,c\,x^2\right)}{315}","Not used",1,"(2*x^(5/2)*(63*A*b + 45*A*c*x + 45*B*b*x + 35*B*c*x^2))/315","B"
144,1,27,39,0.041984,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^(1/2),x)","\frac{2\,x^{3/2}\,\left(35\,A\,b+21\,A\,c\,x+21\,B\,b\,x+15\,B\,c\,x^2\right)}{105}","Not used",1,"(2*x^(3/2)*(35*A*b + 21*A*c*x + 21*B*b*x + 15*B*c*x^2))/105","B"
145,1,27,37,0.042788,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^(3/2),x)","\frac{2\,\sqrt{x}\,\left(15\,A\,b+5\,A\,c\,x+5\,B\,b\,x+3\,B\,c\,x^2\right)}{15}","Not used",1,"(2*x^(1/2)*(15*A*b + 5*A*c*x + 5*B*b*x + 3*B*c*x^2))/15","B"
146,1,27,35,1.022080,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^(5/2),x)","\frac{6\,A\,c\,x-6\,A\,b+6\,B\,b\,x+2\,B\,c\,x^2}{3\,\sqrt{x}}","Not used",1,"(6*A*c*x - 6*A*b + 6*B*b*x + 2*B*c*x^2)/(3*x^(1/2))","B"
147,1,27,35,1.018371,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^(7/2),x)","-\frac{2\,A\,b+6\,A\,c\,x+6\,B\,b\,x-6\,B\,c\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*A*b + 6*A*c*x + 6*B*b*x - 6*B*c*x^2)/(3*x^(3/2))","B"
148,1,28,37,0.034681,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/x^(9/2),x)","-\frac{2\,B\,c\,x^2+\left(\frac{2\,A\,c}{3}+\frac{2\,B\,b}{3}\right)\,x+\frac{2\,A\,b}{5}}{x^{5/2}}","Not used",1,"-((2*A*b)/5 + x*((2*A*c)/3 + (2*B*b)/3) + 2*B*c*x^2)/x^(5/2)","B"
149,1,51,63,1.032963,"\text{Not used}","int(x^(7/2)*(b*x + c*x^2)^2*(A + B*x),x)","x^{15/2}\,\left(\frac{2\,B\,b^2}{15}+\frac{4\,A\,c\,b}{15}\right)+x^{17/2}\,\left(\frac{2\,A\,c^2}{17}+\frac{4\,B\,b\,c}{17}\right)+\frac{2\,A\,b^2\,x^{13/2}}{13}+\frac{2\,B\,c^2\,x^{19/2}}{19}","Not used",1,"x^(15/2)*((2*B*b^2)/15 + (4*A*b*c)/15) + x^(17/2)*((2*A*c^2)/17 + (4*B*b*c)/17) + (2*A*b^2*x^(13/2))/13 + (2*B*c^2*x^(19/2))/19","B"
150,1,51,63,0.047579,"\text{Not used}","int(x^(5/2)*(b*x + c*x^2)^2*(A + B*x),x)","x^{13/2}\,\left(\frac{2\,B\,b^2}{13}+\frac{4\,A\,c\,b}{13}\right)+x^{15/2}\,\left(\frac{2\,A\,c^2}{15}+\frac{4\,B\,b\,c}{15}\right)+\frac{2\,A\,b^2\,x^{11/2}}{11}+\frac{2\,B\,c^2\,x^{17/2}}{17}","Not used",1,"x^(13/2)*((2*B*b^2)/13 + (4*A*b*c)/13) + x^(15/2)*((2*A*c^2)/15 + (4*B*b*c)/15) + (2*A*b^2*x^(11/2))/11 + (2*B*c^2*x^(17/2))/17","B"
151,1,51,63,0.051227,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)^2*(A + B*x),x)","x^{11/2}\,\left(\frac{2\,B\,b^2}{11}+\frac{4\,A\,c\,b}{11}\right)+x^{13/2}\,\left(\frac{2\,A\,c^2}{13}+\frac{4\,B\,b\,c}{13}\right)+\frac{2\,A\,b^2\,x^{9/2}}{9}+\frac{2\,B\,c^2\,x^{15/2}}{15}","Not used",1,"x^(11/2)*((2*B*b^2)/11 + (4*A*b*c)/11) + x^(13/2)*((2*A*c^2)/13 + (4*B*b*c)/13) + (2*A*b^2*x^(9/2))/9 + (2*B*c^2*x^(15/2))/15","B"
152,1,51,63,0.051144,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)^2*(A + B*x),x)","x^{9/2}\,\left(\frac{2\,B\,b^2}{9}+\frac{4\,A\,c\,b}{9}\right)+x^{11/2}\,\left(\frac{2\,A\,c^2}{11}+\frac{4\,B\,b\,c}{11}\right)+\frac{2\,A\,b^2\,x^{7/2}}{7}+\frac{2\,B\,c^2\,x^{13/2}}{13}","Not used",1,"x^(9/2)*((2*B*b^2)/9 + (4*A*b*c)/9) + x^(11/2)*((2*A*c^2)/11 + (4*B*b*c)/11) + (2*A*b^2*x^(7/2))/7 + (2*B*c^2*x^(13/2))/13","B"
153,1,51,63,0.046336,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^(1/2),x)","x^{7/2}\,\left(\frac{2\,B\,b^2}{7}+\frac{4\,A\,c\,b}{7}\right)+x^{9/2}\,\left(\frac{2\,A\,c^2}{9}+\frac{4\,B\,b\,c}{9}\right)+\frac{2\,A\,b^2\,x^{5/2}}{5}+\frac{2\,B\,c^2\,x^{11/2}}{11}","Not used",1,"x^(7/2)*((2*B*b^2)/7 + (4*A*b*c)/7) + x^(9/2)*((2*A*c^2)/9 + (4*B*b*c)/9) + (2*A*b^2*x^(5/2))/5 + (2*B*c^2*x^(11/2))/11","B"
154,1,51,63,0.052692,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^(3/2),x)","x^{5/2}\,\left(\frac{2\,B\,b^2}{5}+\frac{4\,A\,c\,b}{5}\right)+x^{7/2}\,\left(\frac{2\,A\,c^2}{7}+\frac{4\,B\,b\,c}{7}\right)+\frac{2\,A\,b^2\,x^{3/2}}{3}+\frac{2\,B\,c^2\,x^{9/2}}{9}","Not used",1,"x^(5/2)*((2*B*b^2)/5 + (4*A*b*c)/5) + x^(7/2)*((2*A*c^2)/7 + (4*B*b*c)/7) + (2*A*b^2*x^(3/2))/3 + (2*B*c^2*x^(9/2))/9","B"
155,1,51,61,0.052037,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^(5/2),x)","x^{3/2}\,\left(\frac{2\,B\,b^2}{3}+\frac{4\,A\,c\,b}{3}\right)+x^{5/2}\,\left(\frac{2\,A\,c^2}{5}+\frac{4\,B\,b\,c}{5}\right)+2\,A\,b^2\,\sqrt{x}+\frac{2\,B\,c^2\,x^{7/2}}{7}","Not used",1,"x^(3/2)*((2*B*b^2)/3 + (4*A*b*c)/3) + x^(5/2)*((2*A*c^2)/5 + (4*B*b*c)/5) + 2*A*b^2*x^(1/2) + (2*B*c^2*x^(7/2))/7","B"
156,1,51,59,0.050053,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^(7/2),x)","\sqrt{x}\,\left(2\,B\,b^2+4\,A\,c\,b\right)+x^{3/2}\,\left(\frac{2\,A\,c^2}{3}+\frac{4\,B\,b\,c}{3}\right)-\frac{2\,A\,b^2}{\sqrt{x}}+\frac{2\,B\,c^2\,x^{5/2}}{5}","Not used",1,"x^(1/2)*(2*B*b^2 + 4*A*b*c) + x^(3/2)*((2*A*c^2)/3 + (4*B*b*c)/3) - (2*A*b^2)/x^(1/2) + (2*B*c^2*x^(5/2))/5","B"
157,1,51,59,0.052383,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/x^(9/2),x)","-\frac{6\,B\,b^2\,x+2\,A\,b^2-12\,B\,b\,c\,x^2+12\,A\,b\,c\,x-2\,B\,c^2\,x^3-6\,A\,c^2\,x^2}{3\,x^{3/2}}","Not used",1,"-(2*A*b^2 - 6*A*c^2*x^2 - 2*B*c^2*x^3 + 6*B*b^2*x - 12*B*b*c*x^2 + 12*A*b*c*x)/(3*x^(3/2))","B"
158,1,69,85,1.008882,"\text{Not used}","int(x^(7/2)*(b*x + c*x^2)^3*(A + B*x),x)","x^{17/2}\,\left(\frac{2\,B\,b^3}{17}+\frac{6\,A\,c\,b^2}{17}\right)+x^{21/2}\,\left(\frac{2\,A\,c^3}{21}+\frac{2\,B\,b\,c^2}{7}\right)+\frac{2\,A\,b^3\,x^{15/2}}{15}+\frac{2\,B\,c^3\,x^{23/2}}{23}+\frac{6\,b\,c\,x^{19/2}\,\left(A\,c+B\,b\right)}{19}","Not used",1,"x^(17/2)*((2*B*b^3)/17 + (6*A*b^2*c)/17) + x^(21/2)*((2*A*c^3)/21 + (2*B*b*c^2)/7) + (2*A*b^3*x^(15/2))/15 + (2*B*c^3*x^(23/2))/23 + (6*b*c*x^(19/2)*(A*c + B*b))/19","B"
159,1,69,85,0.033284,"\text{Not used}","int(x^(5/2)*(b*x + c*x^2)^3*(A + B*x),x)","x^{15/2}\,\left(\frac{2\,B\,b^3}{15}+\frac{2\,A\,c\,b^2}{5}\right)+x^{19/2}\,\left(\frac{2\,A\,c^3}{19}+\frac{6\,B\,b\,c^2}{19}\right)+\frac{2\,A\,b^3\,x^{13/2}}{13}+\frac{2\,B\,c^3\,x^{21/2}}{21}+\frac{6\,b\,c\,x^{17/2}\,\left(A\,c+B\,b\right)}{17}","Not used",1,"x^(15/2)*((2*B*b^3)/15 + (2*A*b^2*c)/5) + x^(19/2)*((2*A*c^3)/19 + (6*B*b*c^2)/19) + (2*A*b^3*x^(13/2))/13 + (2*B*c^3*x^(21/2))/21 + (6*b*c*x^(17/2)*(A*c + B*b))/17","B"
160,1,69,85,0.032040,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)^3*(A + B*x),x)","x^{13/2}\,\left(\frac{2\,B\,b^3}{13}+\frac{6\,A\,c\,b^2}{13}\right)+x^{17/2}\,\left(\frac{2\,A\,c^3}{17}+\frac{6\,B\,b\,c^2}{17}\right)+\frac{2\,A\,b^3\,x^{11/2}}{11}+\frac{2\,B\,c^3\,x^{19/2}}{19}+\frac{2\,b\,c\,x^{15/2}\,\left(A\,c+B\,b\right)}{5}","Not used",1,"x^(13/2)*((2*B*b^3)/13 + (6*A*b^2*c)/13) + x^(17/2)*((2*A*c^3)/17 + (6*B*b*c^2)/17) + (2*A*b^3*x^(11/2))/11 + (2*B*c^3*x^(19/2))/19 + (2*b*c*x^(15/2)*(A*c + B*b))/5","B"
161,1,69,85,0.033603,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)^3*(A + B*x),x)","x^{11/2}\,\left(\frac{2\,B\,b^3}{11}+\frac{6\,A\,c\,b^2}{11}\right)+x^{15/2}\,\left(\frac{2\,A\,c^3}{15}+\frac{2\,B\,b\,c^2}{5}\right)+\frac{2\,A\,b^3\,x^{9/2}}{9}+\frac{2\,B\,c^3\,x^{17/2}}{17}+\frac{6\,b\,c\,x^{13/2}\,\left(A\,c+B\,b\right)}{13}","Not used",1,"x^(11/2)*((2*B*b^3)/11 + (6*A*b^2*c)/11) + x^(15/2)*((2*A*c^3)/15 + (2*B*b*c^2)/5) + (2*A*b^3*x^(9/2))/9 + (2*B*c^3*x^(17/2))/17 + (6*b*c*x^(13/2)*(A*c + B*b))/13","B"
162,1,69,85,0.032854,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(1/2),x)","x^{9/2}\,\left(\frac{2\,B\,b^3}{9}+\frac{2\,A\,c\,b^2}{3}\right)+x^{13/2}\,\left(\frac{2\,A\,c^3}{13}+\frac{6\,B\,b\,c^2}{13}\right)+\frac{2\,A\,b^3\,x^{7/2}}{7}+\frac{2\,B\,c^3\,x^{15/2}}{15}+\frac{6\,b\,c\,x^{11/2}\,\left(A\,c+B\,b\right)}{11}","Not used",1,"x^(9/2)*((2*B*b^3)/9 + (2*A*b^2*c)/3) + x^(13/2)*((2*A*c^3)/13 + (6*B*b*c^2)/13) + (2*A*b^3*x^(7/2))/7 + (2*B*c^3*x^(15/2))/15 + (6*b*c*x^(11/2)*(A*c + B*b))/11","B"
163,1,69,85,0.032114,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(3/2),x)","x^{7/2}\,\left(\frac{2\,B\,b^3}{7}+\frac{6\,A\,c\,b^2}{7}\right)+x^{11/2}\,\left(\frac{2\,A\,c^3}{11}+\frac{6\,B\,b\,c^2}{11}\right)+\frac{2\,A\,b^3\,x^{5/2}}{5}+\frac{2\,B\,c^3\,x^{13/2}}{13}+\frac{2\,b\,c\,x^{9/2}\,\left(A\,c+B\,b\right)}{3}","Not used",1,"x^(7/2)*((2*B*b^3)/7 + (6*A*b^2*c)/7) + x^(11/2)*((2*A*c^3)/11 + (6*B*b*c^2)/11) + (2*A*b^3*x^(5/2))/5 + (2*B*c^3*x^(13/2))/13 + (2*b*c*x^(9/2)*(A*c + B*b))/3","B"
164,1,69,85,0.032218,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(5/2),x)","x^{5/2}\,\left(\frac{2\,B\,b^3}{5}+\frac{6\,A\,c\,b^2}{5}\right)+x^{9/2}\,\left(\frac{2\,A\,c^3}{9}+\frac{2\,B\,b\,c^2}{3}\right)+\frac{2\,A\,b^3\,x^{3/2}}{3}+\frac{2\,B\,c^3\,x^{11/2}}{11}+\frac{6\,b\,c\,x^{7/2}\,\left(A\,c+B\,b\right)}{7}","Not used",1,"x^(5/2)*((2*B*b^3)/5 + (6*A*b^2*c)/5) + x^(9/2)*((2*A*c^3)/9 + (2*B*b*c^2)/3) + (2*A*b^3*x^(3/2))/3 + (2*B*c^3*x^(11/2))/11 + (6*b*c*x^(7/2)*(A*c + B*b))/7","B"
165,1,69,83,0.034454,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(7/2),x)","x^{3/2}\,\left(\frac{2\,B\,b^3}{3}+2\,A\,c\,b^2\right)+x^{7/2}\,\left(\frac{2\,A\,c^3}{7}+\frac{6\,B\,b\,c^2}{7}\right)+2\,A\,b^3\,\sqrt{x}+\frac{2\,B\,c^3\,x^{9/2}}{9}+\frac{6\,b\,c\,x^{5/2}\,\left(A\,c+B\,b\right)}{5}","Not used",1,"x^(3/2)*((2*B*b^3)/3 + 2*A*b^2*c) + x^(7/2)*((2*A*c^3)/7 + (6*B*b*c^2)/7) + 2*A*b^3*x^(1/2) + (2*B*c^3*x^(9/2))/9 + (6*b*c*x^(5/2)*(A*c + B*b))/5","B"
166,1,69,79,0.037305,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(9/2),x)","\sqrt{x}\,\left(2\,B\,b^3+6\,A\,c\,b^2\right)+x^{5/2}\,\left(\frac{2\,A\,c^3}{5}+\frac{6\,B\,b\,c^2}{5}\right)-\frac{2\,A\,b^3}{\sqrt{x}}+\frac{2\,B\,c^3\,x^{7/2}}{7}+2\,b\,c\,x^{3/2}\,\left(A\,c+B\,b\right)","Not used",1,"x^(1/2)*(2*B*b^3 + 6*A*b^2*c) + x^(5/2)*((2*A*c^3)/5 + (6*B*b*c^2)/5) - (2*A*b^3)/x^(1/2) + (2*B*c^3*x^(7/2))/7 + 2*b*c*x^(3/2)*(A*c + B*b)","B"
167,1,70,81,0.061991,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/x^(11/2),x)","x^{3/2}\,\left(\frac{2\,A\,c^3}{3}+2\,B\,b\,c^2\right)-\frac{x\,\left(2\,B\,b^3+6\,A\,c\,b^2\right)+\frac{2\,A\,b^3}{3}}{x^{3/2}}+\frac{2\,B\,c^3\,x^{5/2}}{5}+6\,b\,c\,\sqrt{x}\,\left(A\,c+B\,b\right)","Not used",1,"x^(3/2)*((2*A*c^3)/3 + 2*B*b*c^2) - (x*(2*B*b^3 + 6*A*b^2*c) + (2*A*b^3)/3)/x^(3/2) + (2*B*c^3*x^(5/2))/5 + 6*b*c*x^(1/2)*(A*c + B*b)","B"
168,1,125,113,1.037753,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2),x)","x^{5/2}\,\left(\frac{2\,A}{5\,c}-\frac{2\,B\,b}{5\,c^2}\right)+\frac{2\,B\,x^{7/2}}{7\,c}+\frac{b^2\,\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{c^2}+\frac{2\,b^{5/2}\,\mathrm{atan}\left(\frac{b^{5/2}\,\sqrt{c}\,\sqrt{x}\,\left(A\,c-B\,b\right)}{B\,b^4-A\,b^3\,c}\right)\,\left(A\,c-B\,b\right)}{c^{9/2}}-\frac{b\,x^{3/2}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{3\,c}","Not used",1,"x^(5/2)*((2*A)/(5*c) - (2*B*b)/(5*c^2)) + (2*B*x^(7/2))/(7*c) + (b^2*x^(1/2)*((2*A)/c - (2*B*b)/c^2))/c^2 + (2*b^(5/2)*atan((b^(5/2)*c^(1/2)*x^(1/2)*(A*c - B*b))/(B*b^4 - A*b^3*c))*(A*c - B*b))/c^(9/2) - (b*x^(3/2)*((2*A)/c - (2*B*b)/c^2))/(3*c)","B"
169,1,101,90,1.046658,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2),x)","x^{3/2}\,\left(\frac{2\,A}{3\,c}-\frac{2\,B\,b}{3\,c^2}\right)+\frac{2\,B\,x^{5/2}}{5\,c}-\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,\sqrt{x}\,\left(A\,c-B\,b\right)}{B\,b^3-A\,b^2\,c}\right)\,\left(A\,c-B\,b\right)}{c^{7/2}}-\frac{b\,\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{c}","Not used",1,"x^(3/2)*((2*A)/(3*c) - (2*B*b)/(3*c^2)) + (2*B*x^(5/2))/(5*c) - (2*b^(3/2)*atan((b^(3/2)*c^(1/2)*x^(1/2)*(A*c - B*b))/(B*b^3 - A*b^2*c))*(A*c - B*b))/c^(7/2) - (b*x^(1/2)*((2*A)/c - (2*B*b)/c^2))/c","B"
170,1,76,69,0.077905,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2),x)","\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)+\frac{2\,B\,x^{3/2}}{3\,c}+\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,\sqrt{x}\,\left(A\,c-B\,b\right)}{B\,b^2-A\,b\,c}\right)\,\left(A\,c-B\,b\right)}{c^{5/2}}","Not used",1,"x^(1/2)*((2*A)/c - (2*B*b)/c^2) + (2*B*x^(3/2))/(3*c) + (2*b^(1/2)*atan((b^(1/2)*c^(1/2)*x^(1/2)*(A*c - B*b))/(B*b^2 - A*b*c))*(A*c - B*b))/c^(5/2)","B"
171,1,37,49,0.061739,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2),x)","\frac{2\,B\,\sqrt{x}}{c}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{\sqrt{b}\,c^{3/2}}","Not used",1,"(2*B*x^(1/2))/c + (2*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - B*b))/(b^(1/2)*c^(3/2))","B"
172,1,50,49,0.071773,"\text{Not used}","int((A + B*x)/(x^(1/2)*(b*x + c*x^2)),x)","\frac{2\,B\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)}{\sqrt{b}\,\sqrt{c}}-\frac{2\,A\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{3/2}}-\frac{2\,A}{b\,\sqrt{x}}","Not used",1,"(2*B*atan((c^(1/2)*x^(1/2))/b^(1/2)))/(b^(1/2)*c^(1/2)) - (2*A*c^(1/2)*atan((c^(1/2)*x^(1/2))/b^(1/2)))/b^(3/2) - (2*A)/(b*x^(1/2))","B"
173,1,54,69,1.065218,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)),x)","\frac{2\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{5/2}}-\frac{\frac{2\,A}{3\,b}-\frac{2\,x\,\left(A\,c-B\,b\right)}{b^2}}{x^{3/2}}","Not used",1,"(2*c^(1/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - B*b))/b^(5/2) - ((2*A)/(3*b) - (2*x*(A*c - B*b))/b^2)/x^(3/2)","B"
174,1,71,90,1.090612,"\text{Not used}","int((A + B*x)/(x^(5/2)*(b*x + c*x^2)),x)","-\frac{\frac{2\,A}{5\,b}-\frac{2\,x\,\left(A\,c-B\,b\right)}{3\,b^2}+\frac{2\,c\,x^2\,\left(A\,c-B\,b\right)}{b^3}}{x^{5/2}}-\frac{2\,c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{7/2}}","Not used",1,"- ((2*A)/(5*b) - (2*x*(A*c - B*b))/(3*b^2) + (2*c*x^2*(A*c - B*b))/b^3)/x^(5/2) - (2*c^(3/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - B*b))/b^(7/2)","B"
175,1,90,113,1.092092,"\text{Not used}","int((A + B*x)/(x^(7/2)*(b*x + c*x^2)),x)","\frac{2\,c^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{9/2}}-\frac{\frac{2\,A}{7\,b}-\frac{2\,x\,\left(A\,c-B\,b\right)}{5\,b^2}-\frac{2\,c^2\,x^3\,\left(A\,c-B\,b\right)}{b^4}+\frac{2\,c\,x^2\,\left(A\,c-B\,b\right)}{3\,b^3}}{x^{7/2}}","Not used",1,"(2*c^(5/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - B*b))/b^(9/2) - ((2*A)/(7*b) - (2*x*(A*c - B*b))/(5*b^2) - (2*c^2*x^3*(A*c - B*b))/b^4 + (2*c*x^2*(A*c - B*b))/(3*b^3))/x^(7/2)","B"
176,1,109,136,1.108376,"\text{Not used}","int((A + B*x)/(x^(9/2)*(b*x + c*x^2)),x)","-\frac{\frac{2\,A}{9\,b}-\frac{2\,x\,\left(A\,c-B\,b\right)}{7\,b^2}-\frac{2\,c^2\,x^3\,\left(A\,c-B\,b\right)}{3\,b^4}+\frac{2\,c^3\,x^4\,\left(A\,c-B\,b\right)}{b^5}+\frac{2\,c\,x^2\,\left(A\,c-B\,b\right)}{5\,b^3}}{x^{9/2}}-\frac{2\,c^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{11/2}}","Not used",1,"- ((2*A)/(9*b) - (2*x*(A*c - B*b))/(7*b^2) - (2*c^2*x^3*(A*c - B*b))/(3*b^4) + (2*c^3*x^4*(A*c - B*b))/b^5 + (2*c*x^2*(A*c - B*b))/(5*b^3))/x^(9/2) - (2*c^(7/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - B*b))/b^(11/2)","B"
177,1,146,131,1.044818,"\text{Not used}","int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^2,x)","x^{3/2}\,\left(\frac{2\,A}{3\,c^2}-\frac{4\,B\,b}{3\,c^3}\right)-\sqrt{x}\,\left(\frac{2\,b\,\left(\frac{2\,A}{c^2}-\frac{4\,B\,b}{c^3}\right)}{c}+\frac{2\,B\,b^2}{c^4}\right)+\frac{2\,B\,x^{5/2}}{5\,c^2}+\frac{\sqrt{x}\,\left(B\,b^3-A\,b^2\,c\right)}{x\,c^5+b\,c^4}-\frac{b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,\sqrt{x}\,\left(5\,A\,c-7\,B\,b\right)}{7\,B\,b^3-5\,A\,b^2\,c}\right)\,\left(5\,A\,c-7\,B\,b\right)}{c^{9/2}}","Not used",1,"x^(3/2)*((2*A)/(3*c^2) - (4*B*b)/(3*c^3)) - x^(1/2)*((2*b*((2*A)/c^2 - (4*B*b)/c^3))/c + (2*B*b^2)/c^4) + (2*B*x^(5/2))/(5*c^2) + (x^(1/2)*(B*b^3 - A*b^2*c))/(b*c^4 + c^5*x) - (b^(3/2)*atan((b^(3/2)*c^(1/2)*x^(1/2)*(5*A*c - 7*B*b))/(7*B*b^3 - 5*A*b^2*c))*(5*A*c - 7*B*b))/c^(9/2)","B"
178,1,107,109,1.091005,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^2,x)","\sqrt{x}\,\left(\frac{2\,A}{c^2}-\frac{4\,B\,b}{c^3}\right)-\frac{\sqrt{x}\,\left(B\,b^2-A\,b\,c\right)}{x\,c^4+b\,c^3}+\frac{2\,B\,x^{3/2}}{3\,c^2}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,\sqrt{x}\,\left(3\,A\,c-5\,B\,b\right)}{5\,B\,b^2-3\,A\,b\,c}\right)\,\left(3\,A\,c-5\,B\,b\right)}{c^{7/2}}","Not used",1,"x^(1/2)*((2*A)/c^2 - (4*B*b)/c^3) - (x^(1/2)*(B*b^2 - A*b*c))/(b*c^3 + c^4*x) + (2*B*x^(3/2))/(3*c^2) + (b^(1/2)*atan((b^(1/2)*c^(1/2)*x^(1/2)*(3*A*c - 5*B*b))/(5*B*b^2 - 3*A*b*c))*(3*A*c - 5*B*b))/c^(7/2)","B"
179,1,62,88,0.093325,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^2,x)","\frac{2\,B\,\sqrt{x}}{c^2}-\frac{\sqrt{x}\,\left(A\,c-B\,b\right)}{x\,c^3+b\,c^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-3\,B\,b\right)}{\sqrt{b}\,c^{5/2}}","Not used",1,"(2*B*x^(1/2))/c^2 - (x^(1/2)*(A*c - B*b))/(b*c^2 + c^3*x) + (atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - 3*B*b))/(b^(1/2)*c^(5/2))","B"
180,1,51,64,1.079927,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c+B\,b\right)}{b^{3/2}\,c^{3/2}}+\frac{\sqrt{x}\,\left(A\,c-B\,b\right)}{b\,c\,\left(b+c\,x\right)}","Not used",1,"(atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c + B*b))/(b^(3/2)*c^(3/2)) + (x^(1/2)*(A*c - B*b))/(b*c*(b + c*x))","B"
181,1,65,85,1.079927,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^2,x)","-\frac{\frac{2\,A}{b}+\frac{x\,\left(3\,A\,c-B\,b\right)}{b^2}}{b\,\sqrt{x}+c\,x^{3/2}}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(3\,A\,c-B\,b\right)}{b^{5/2}\,\sqrt{c}}","Not used",1,"- ((2*A)/b + (x*(3*A*c - B*b))/b^2)/(b*x^(1/2) + c*x^(3/2)) - (atan((c^(1/2)*x^(1/2))/b^(1/2))*(3*A*c - B*b))/(b^(5/2)*c^(1/2))","B"
182,1,81,110,1.087611,"\text{Not used}","int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^2),x)","\frac{\frac{2\,x\,\left(5\,A\,c-3\,B\,b\right)}{3\,b^2}-\frac{2\,A}{3\,b}+\frac{c\,x^2\,\left(5\,A\,c-3\,B\,b\right)}{b^3}}{b\,x^{3/2}+c\,x^{5/2}}+\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(5\,A\,c-3\,B\,b\right)}{b^{7/2}}","Not used",1,"((2*x*(5*A*c - 3*B*b))/(3*b^2) - (2*A)/(3*b) + (c*x^2*(5*A*c - 3*B*b))/b^3)/(b*x^(3/2) + c*x^(5/2)) + (c^(1/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(5*A*c - 3*B*b))/b^(7/2)","B"
183,1,103,130,1.105207,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^2),x)","-\frac{\frac{2\,A}{5\,b}-\frac{2\,x\,\left(7\,A\,c-5\,B\,b\right)}{15\,b^2}+\frac{c^2\,x^3\,\left(7\,A\,c-5\,B\,b\right)}{b^4}+\frac{2\,c\,x^2\,\left(7\,A\,c-5\,B\,b\right)}{3\,b^3}}{b\,x^{5/2}+c\,x^{7/2}}-\frac{c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(7\,A\,c-5\,B\,b\right)}{b^{9/2}}","Not used",1,"- ((2*A)/(5*b) - (2*x*(7*A*c - 5*B*b))/(15*b^2) + (c^2*x^3*(7*A*c - 5*B*b))/b^4 + (2*c*x^2*(7*A*c - 5*B*b))/(3*b^3))/(b*x^(5/2) + c*x^(7/2)) - (c^(3/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(7*A*c - 5*B*b))/b^(9/2)","B"
184,1,121,156,1.118461,"\text{Not used}","int((A + B*x)/(x^(5/2)*(b*x + c*x^2)^2),x)","\frac{\frac{2\,x\,\left(9\,A\,c-7\,B\,b\right)}{35\,b^2}-\frac{2\,A}{7\,b}+\frac{2\,c^2\,x^3\,\left(9\,A\,c-7\,B\,b\right)}{3\,b^4}+\frac{c^3\,x^4\,\left(9\,A\,c-7\,B\,b\right)}{b^5}-\frac{2\,c\,x^2\,\left(9\,A\,c-7\,B\,b\right)}{15\,b^3}}{b\,x^{7/2}+c\,x^{9/2}}+\frac{c^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(9\,A\,c-7\,B\,b\right)}{b^{11/2}}","Not used",1,"((2*x*(9*A*c - 7*B*b))/(35*b^2) - (2*A)/(7*b) + (2*c^2*x^3*(9*A*c - 7*B*b))/(3*b^4) + (c^3*x^4*(9*A*c - 7*B*b))/b^5 - (2*c*x^2*(9*A*c - 7*B*b))/(15*b^3))/(b*x^(7/2) + c*x^(9/2)) + (c^(5/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(9*A*c - 7*B*b))/b^(11/2)","B"
185,1,183,169,1.073229,"\text{Not used}","int((x^(13/2)*(A + B*x))/(b*x + c*x^2)^3,x)","x^{3/2}\,\left(\frac{2\,A}{3\,c^3}-\frac{2\,B\,b}{c^4}\right)-\frac{x^{3/2}\,\left(\frac{13\,A\,b^2\,c^2}{4}-\frac{17\,B\,b^3\,c}{4}\right)-\sqrt{x}\,\left(\frac{15\,B\,b^4}{4}-\frac{11\,A\,b^3\,c}{4}\right)}{b^2\,c^5+2\,b\,c^6\,x+c^7\,x^2}-\sqrt{x}\,\left(\frac{3\,b\,\left(\frac{2\,A}{c^3}-\frac{6\,B\,b}{c^4}\right)}{c}+\frac{6\,B\,b^2}{c^5}\right)+\frac{2\,B\,x^{5/2}}{5\,c^3}-\frac{7\,b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,\sqrt{x}\,\left(5\,A\,c-9\,B\,b\right)}{9\,B\,b^3-5\,A\,b^2\,c}\right)\,\left(5\,A\,c-9\,B\,b\right)}{4\,c^{11/2}}","Not used",1,"x^(3/2)*((2*A)/(3*c^3) - (2*B*b)/c^4) - (x^(3/2)*((13*A*b^2*c^2)/4 - (17*B*b^3*c)/4) - x^(1/2)*((15*B*b^4)/4 - (11*A*b^3*c)/4))/(b^2*c^5 + c^7*x^2 + 2*b*c^6*x) - x^(1/2)*((3*b*((2*A)/c^3 - (6*B*b)/c^4))/c + (6*B*b^2)/c^5) + (2*B*x^(5/2))/(5*c^3) - (7*b^(3/2)*atan((b^(3/2)*c^(1/2)*x^(1/2)*(5*A*c - 9*B*b))/(9*B*b^3 - 5*A*b^2*c))*(5*A*c - 9*B*b))/(4*c^(11/2))","B"
186,1,143,147,0.089908,"\text{Not used}","int((x^(11/2)*(A + B*x))/(b*x + c*x^2)^3,x)","\frac{x^{3/2}\,\left(\frac{9\,A\,b\,c^2}{4}-\frac{13\,B\,b^2\,c}{4}\right)-\sqrt{x}\,\left(\frac{11\,B\,b^3}{4}-\frac{7\,A\,b^2\,c}{4}\right)}{b^2\,c^4+2\,b\,c^5\,x+c^6\,x^2}+\sqrt{x}\,\left(\frac{2\,A}{c^3}-\frac{6\,B\,b}{c^4}\right)+\frac{2\,B\,x^{3/2}}{3\,c^3}+\frac{5\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,\sqrt{x}\,\left(3\,A\,c-7\,B\,b\right)}{7\,B\,b^2-3\,A\,b\,c}\right)\,\left(3\,A\,c-7\,B\,b\right)}{4\,c^{9/2}}","Not used",1,"(x^(3/2)*((9*A*b*c^2)/4 - (13*B*b^2*c)/4) - x^(1/2)*((11*B*b^3)/4 - (7*A*b^2*c)/4))/(b^2*c^4 + c^6*x^2 + 2*b*c^5*x) + x^(1/2)*((2*A)/c^3 - (6*B*b)/c^4) + (2*B*x^(3/2))/(3*c^3) + (5*b^(1/2)*atan((b^(1/2)*c^(1/2)*x^(1/2)*(3*A*c - 7*B*b))/(7*B*b^2 - 3*A*b*c))*(3*A*c - 7*B*b))/(4*c^(9/2))","B"
187,1,96,126,0.112207,"\text{Not used}","int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^3,x)","\frac{\sqrt{x}\,\left(\frac{7\,B\,b^2}{4}-\frac{3\,A\,b\,c}{4}\right)-x^{3/2}\,\left(\frac{5\,A\,c^2}{4}-\frac{9\,B\,b\,c}{4}\right)}{b^2\,c^3+2\,b\,c^4\,x+c^5\,x^2}+\frac{2\,B\,\sqrt{x}}{c^3}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c-5\,B\,b\right)}{4\,\sqrt{b}\,c^{7/2}}","Not used",1,"(x^(1/2)*((7*B*b^2)/4 - (3*A*b*c)/4) - x^(3/2)*((5*A*c^2)/4 - (9*B*b*c)/4))/(b^2*c^3 + c^5*x^2 + 2*b*c^4*x) + (2*B*x^(1/2))/c^3 + (3*atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c - 5*B*b))/(4*b^(1/2)*c^(7/2))","B"
188,1,84,100,1.097610,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(A\,c+3\,B\,b\right)}{4\,b^{3/2}\,c^{5/2}}-\frac{\frac{\sqrt{x}\,\left(A\,c+3\,B\,b\right)}{4\,c^2}-\frac{x^{3/2}\,\left(A\,c-5\,B\,b\right)}{4\,b\,c}}{b^2+2\,b\,c\,x+c^2\,x^2}","Not used",1,"(atan((c^(1/2)*x^(1/2))/b^(1/2))*(A*c + 3*B*b))/(4*b^(3/2)*c^(5/2)) - ((x^(1/2)*(A*c + 3*B*b))/(4*c^2) - (x^(3/2)*(A*c - 5*B*b))/(4*b*c))/(b^2 + c^2*x^2 + 2*b*c*x)","B"
189,1,84,100,1.086838,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^3,x)","\frac{\frac{x^{3/2}\,\left(3\,A\,c+B\,b\right)}{4\,b^2}+\frac{\sqrt{x}\,\left(5\,A\,c-B\,b\right)}{4\,b\,c}}{b^2+2\,b\,c\,x+c^2\,x^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(3\,A\,c+B\,b\right)}{4\,b^{5/2}\,c^{3/2}}","Not used",1,"((x^(3/2)*(3*A*c + B*b))/(4*b^2) + (x^(1/2)*(5*A*c - B*b))/(4*b*c))/(b^2 + c^2*x^2 + 2*b*c*x) + (atan((c^(1/2)*x^(1/2))/b^(1/2))*(3*A*c + B*b))/(4*b^(5/2)*c^(3/2))","B"
190,1,116,123,1.120740,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^3,x)","-\frac{\frac{2\,A}{b}+\frac{5\,x\,\left(5\,A\,c-B\,b\right)}{4\,b^2}+\frac{3\,c\,x^2\,\left(5\,A\,c-B\,b\right)}{4\,b^3}}{b^2\,\sqrt{x}+c^2\,x^{5/2}+2\,b\,c\,x^{3/2}}-\frac{3\,\mathrm{atan}\left(\frac{3\,\sqrt{c}\,\sqrt{x}\,\left(5\,A\,c-B\,b\right)}{\sqrt{b}\,\left(15\,A\,c-3\,B\,b\right)}\right)\,\left(5\,A\,c-B\,b\right)}{4\,b^{7/2}\,\sqrt{c}}","Not used",1,"- ((2*A)/b + (5*x*(5*A*c - B*b))/(4*b^2) + (3*c*x^2*(5*A*c - B*b))/(4*b^3))/(b^2*x^(1/2) + c^2*x^(5/2) + 2*b*c*x^(3/2)) - (3*atan((3*c^(1/2)*x^(1/2)*(5*A*c - B*b))/(b^(1/2)*(15*A*c - 3*B*b)))*(5*A*c - B*b))/(4*b^(7/2)*c^(1/2))","B"
191,1,114,147,1.109361,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^3,x)","\frac{\frac{2\,x\,\left(7\,A\,c-3\,B\,b\right)}{3\,b^2}-\frac{2\,A}{3\,b}+\frac{5\,c^2\,x^3\,\left(7\,A\,c-3\,B\,b\right)}{4\,b^4}+\frac{25\,c\,x^2\,\left(7\,A\,c-3\,B\,b\right)}{12\,b^3}}{b^2\,x^{3/2}+c^2\,x^{7/2}+2\,b\,c\,x^{5/2}}+\frac{5\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(7\,A\,c-3\,B\,b\right)}{4\,b^{9/2}}","Not used",1,"((2*x*(7*A*c - 3*B*b))/(3*b^2) - (2*A)/(3*b) + (5*c^2*x^3*(7*A*c - 3*B*b))/(4*b^4) + (25*c*x^2*(7*A*c - 3*B*b))/(12*b^3))/(b^2*x^(3/2) + c^2*x^(7/2) + 2*b*c*x^(5/2)) + (5*c^(1/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(7*A*c - 3*B*b))/(4*b^(9/2))","B"
192,1,135,169,1.139909,"\text{Not used}","int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^3),x)","-\frac{\frac{2\,A}{5\,b}-\frac{2\,x\,\left(9\,A\,c-5\,B\,b\right)}{15\,b^2}+\frac{35\,c^2\,x^3\,\left(9\,A\,c-5\,B\,b\right)}{12\,b^4}+\frac{7\,c^3\,x^4\,\left(9\,A\,c-5\,B\,b\right)}{4\,b^5}+\frac{14\,c\,x^2\,\left(9\,A\,c-5\,B\,b\right)}{15\,b^3}}{b^2\,x^{5/2}+c^2\,x^{9/2}+2\,b\,c\,x^{7/2}}-\frac{7\,c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(9\,A\,c-5\,B\,b\right)}{4\,b^{11/2}}","Not used",1,"- ((2*A)/(5*b) - (2*x*(9*A*c - 5*B*b))/(15*b^2) + (35*c^2*x^3*(9*A*c - 5*B*b))/(12*b^4) + (7*c^3*x^4*(9*A*c - 5*B*b))/(4*b^5) + (14*c*x^2*(9*A*c - 5*B*b))/(15*b^3))/(b^2*x^(5/2) + c^2*x^(9/2) + 2*b*c*x^(7/2)) - (7*c^(3/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(9*A*c - 5*B*b))/(4*b^(11/2))","B"
193,1,154,193,1.183986,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^3),x)","\frac{\frac{2\,x\,\left(11\,A\,c-7\,B\,b\right)}{35\,b^2}-\frac{2\,A}{7\,b}+\frac{6\,c^2\,x^3\,\left(11\,A\,c-7\,B\,b\right)}{5\,b^4}+\frac{15\,c^3\,x^4\,\left(11\,A\,c-7\,B\,b\right)}{4\,b^5}+\frac{9\,c^4\,x^5\,\left(11\,A\,c-7\,B\,b\right)}{4\,b^6}-\frac{6\,c\,x^2\,\left(11\,A\,c-7\,B\,b\right)}{35\,b^3}}{b^2\,x^{7/2}+c^2\,x^{11/2}+2\,b\,c\,x^{9/2}}+\frac{9\,c^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,\sqrt{x}}{\sqrt{b}}\right)\,\left(11\,A\,c-7\,B\,b\right)}{4\,b^{13/2}}","Not used",1,"((2*x*(11*A*c - 7*B*b))/(35*b^2) - (2*A)/(7*b) + (6*c^2*x^3*(11*A*c - 7*B*b))/(5*b^4) + (15*c^3*x^4*(11*A*c - 7*B*b))/(4*b^5) + (9*c^4*x^5*(11*A*c - 7*B*b))/(4*b^6) - (6*c*x^2*(11*A*c - 7*B*b))/(35*b^3))/(b^2*x^(7/2) + c^2*x^(11/2) + 2*b*c*x^(9/2)) + (9*c^(5/2)*atan((c^(1/2)*x^(1/2))/b^(1/2))*(11*A*c - 7*B*b))/(4*b^(13/2))","B"
194,0,-1,207,0.000000,"\text{Not used}","int(x^(7/2)*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\int x^{7/2}\,\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(7/2)*(b*x + c*x^2)^(1/2)*(A + B*x), x)","F"
195,0,-1,170,0.000000,"\text{Not used}","int(x^(5/2)*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\int x^{5/2}\,\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(5/2)*(b*x + c*x^2)^(1/2)*(A + B*x), x)","F"
196,0,-1,133,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\int x^{3/2}\,\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(3/2)*(b*x + c*x^2)^(1/2)*(A + B*x), x)","F"
197,0,-1,96,0.000000,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)^(1/2)*(A + B*x),x)","\int \sqrt{x}\,\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(1/2)*(b*x + c*x^2)^(1/2)*(A + B*x), x)","F"
198,0,-1,61,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(1/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{\sqrt{x}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(1/2), x)","F"
199,0,-1,81,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(3/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^{3/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(3/2), x)","F"
200,0,-1,95,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(5/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^{5/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(5/2), x)","F"
201,0,-1,105,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(7/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^{7/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(7/2), x)","F"
202,0,-1,142,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(9/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{x^{9/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/x^(9/2), x)","F"
203,0,-1,207,0.000000,"\text{Not used}","int(x^(5/2)*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int x^{5/2}\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(5/2)*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
204,0,-1,170,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int x^{3/2}\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(3/2)*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
205,0,-1,133,0.000000,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)^(3/2)*(A + B*x),x)","\int \sqrt{x}\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(1/2)*(b*x + c*x^2)^(3/2)*(A + B*x), x)","F"
206,0,-1,96,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(1/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{\sqrt{x}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(1/2), x)","F"
207,0,-1,61,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(3/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{3/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(3/2), x)","F"
208,0,-1,105,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(5/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{5/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(5/2), x)","F"
209,0,-1,128,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(7/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{7/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(7/2), x)","F"
210,0,-1,137,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(9/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{9/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(9/2), x)","F"
211,0,-1,142,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(11/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{11/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(11/2), x)","F"
212,0,-1,179,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(13/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{13/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(13/2), x)","F"
213,0,-1,216,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(15/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{x^{15/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/x^(15/2), x)","F"
214,0,-1,207,0.000000,"\text{Not used}","int(x^(3/2)*(b*x + c*x^2)^(5/2)*(A + B*x),x)","\int x^{3/2}\,{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(3/2)*(b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
215,0,-1,170,0.000000,"\text{Not used}","int(x^(1/2)*(b*x + c*x^2)^(5/2)*(A + B*x),x)","\int \sqrt{x}\,{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(1/2)*(b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
216,0,-1,133,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(1/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{\sqrt{x}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(1/2), x)","F"
217,0,-1,96,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(3/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{3/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(3/2), x)","F"
218,0,-1,61,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(5/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{5/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(5/2), x)","F"
219,0,-1,131,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(7/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{7/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(7/2), x)","F"
220,0,-1,160,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(9/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{9/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(9/2), x)","F"
221,0,-1,172,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(11/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{11/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(11/2), x)","F"
222,0,-1,175,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(13/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{13/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(13/2), x)","F"
223,0,-1,179,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(15/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{15/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(15/2), x)","F"
224,0,-1,216,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(17/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{x^{17/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/x^(17/2), x)","F"
225,0,-1,170,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
226,0,-1,133,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
227,0,-1,96,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
228,0,-1,61,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(1/2), x)","F"
229,0,-1,72,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(e*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,\sqrt{e\,x}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(e*x)^(1/2)), x)","F"
230,0,-1,66,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(1/2)), x)","F"
231,0,-1,105,0.000000,"\text{Not used}","int((A + B*x)/(x^(5/2)*(b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{5/2}\,\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((A + B*x)/(x^(5/2)*(b*x + c*x^2)^(1/2)), x)","F"
232,0,-1,142,0.000000,"\text{Not used}","int((A + B*x)/(x^(7/2)*(b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{7/2}\,\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int((A + B*x)/(x^(7/2)*(b*x + c*x^2)^(1/2)), x)","F"
233,0,-1,178,0.000000,"\text{Not used}","int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^{9/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
234,0,-1,141,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
235,0,-1,106,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
236,0,-1,70,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
237,0,-1,68,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(3/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(3/2), x)","F"
238,0,-1,97,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^(3/2)), x)","F"
239,0,-1,140,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(3/2)), x)","F"
240,0,-1,179,0.000000,"\text{Not used}","int((A + B*x)/(x^(5/2)*(b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^{5/2}\,{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(5/2)*(b*x + c*x^2)^(3/2)), x)","F"
241,0,-1,216,0.000000,"\text{Not used}","int((A + B*x)/(x^(7/2)*(b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^{7/2}\,{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(7/2)*(b*x + c*x^2)^(3/2)), x)","F"
242,0,-1,180,0.000000,"\text{Not used}","int((x^(11/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^{11/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(11/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
243,0,-1,143,0.000000,"\text{Not used}","int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^{9/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(9/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
244,0,-1,108,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
245,0,-1,73,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
246,0,-1,94,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
247,0,-1,146,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(5/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(b*x + c*x^2)^(5/2), x)","F"
248,0,-1,174,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*(b*x + c*x^2)^(5/2)), x)","F"
249,0,-1,214,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*(b*x + c*x^2)^(5/2)), x)","F"
250,1,41,24,1.174256,"\text{Not used}","int(x^(p + 1)*(b*x + c*x^2)^p*(2*b + 3*c*x),x)","{\left(c\,x^2+b\,x\right)}^p\,\left(\frac{b\,x\,x^{p+1}}{p+1}+\frac{c\,x^{p+1}\,x^2}{p+1}\right)","Not used",1,"(b*x + c*x^2)^p*((b*x*x^(p + 1))/(p + 1) + (c*x^(p + 1)*x^2)/(p + 1))","B"
251,1,29,37,0.045815,"\text{Not used}","int(x^3*(a + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^7}{7}+\frac{A\,c\,x^6}{6}+\frac{B\,a\,x^5}{5}+\frac{A\,a\,x^4}{4}","Not used",1,"(A*a*x^4)/4 + (B*a*x^5)/5 + (A*c*x^6)/6 + (B*c*x^7)/7","B"
252,1,29,37,0.042290,"\text{Not used}","int(x^2*(a + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^6}{6}+\frac{A\,c\,x^5}{5}+\frac{B\,a\,x^4}{4}+\frac{A\,a\,x^3}{3}","Not used",1,"(A*a*x^3)/3 + (B*a*x^4)/4 + (A*c*x^5)/5 + (B*c*x^6)/6","B"
253,1,29,37,0.043307,"\text{Not used}","int(x*(a + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^5}{5}+\frac{A\,c\,x^4}{4}+\frac{B\,a\,x^3}{3}+\frac{A\,a\,x^2}{2}","Not used",1,"(A*a*x^2)/2 + (B*a*x^3)/3 + (A*c*x^4)/4 + (B*c*x^5)/5","B"
254,1,26,31,0.045700,"\text{Not used}","int((a + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^4}{4}+\frac{A\,c\,x^3}{3}+\frac{B\,a\,x^2}{2}+A\,a\,x","Not used",1,"A*a*x + (B*a*x^2)/2 + (A*c*x^3)/3 + (B*c*x^4)/4","B"
255,1,24,28,0.035161,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x,x)","B\,a\,x+\frac{A\,c\,x^2}{2}+\frac{B\,c\,x^3}{3}+A\,a\,\ln\left(x\right)","Not used",1,"B*a*x + (A*c*x^2)/2 + (B*c*x^3)/3 + A*a*log(x)","B"
256,1,24,26,0.036145,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^2,x)","A\,c\,x-\frac{A\,a}{x}+\frac{B\,c\,x^2}{2}+B\,a\,\ln\left(x\right)","Not used",1,"A*c*x - (A*a)/x + (B*c*x^2)/2 + B*a*log(x)","B"
257,1,24,26,1.033569,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^3,x)","B\,c\,x-\frac{\frac{A\,a}{2}+B\,a\,x}{x^2}+A\,c\,\ln\left(x\right)","Not used",1,"B*c*x - ((A*a)/2 + B*a*x)/x^2 + A*c*log(x)","B"
258,1,53,65,0.028967,"\text{Not used}","int(x^3*(a + c*x^2)^2*(A + B*x),x)","\frac{B\,a^2\,x^5}{5}+\frac{A\,a^2\,x^4}{4}+\frac{2\,B\,a\,c\,x^7}{7}+\frac{A\,a\,c\,x^6}{3}+\frac{B\,c^2\,x^9}{9}+\frac{A\,c^2\,x^8}{8}","Not used",1,"(A*a^2*x^4)/4 + (B*a^2*x^5)/5 + (A*c^2*x^8)/8 + (B*c^2*x^9)/9 + (A*a*c*x^6)/3 + (2*B*a*c*x^7)/7","B"
259,1,53,65,0.024907,"\text{Not used}","int(x^2*(a + c*x^2)^2*(A + B*x),x)","\frac{B\,a^2\,x^4}{4}+\frac{A\,a^2\,x^3}{3}+\frac{B\,a\,c\,x^6}{3}+\frac{2\,A\,a\,c\,x^5}{5}+\frac{B\,c^2\,x^8}{8}+\frac{A\,c^2\,x^7}{7}","Not used",1,"(A*a^2*x^3)/3 + (B*a^2*x^4)/4 + (A*c^2*x^7)/7 + (B*c^2*x^8)/8 + (2*A*a*c*x^5)/5 + (B*a*c*x^6)/3","B"
260,1,53,65,0.023992,"\text{Not used}","int(x*(a + c*x^2)^2*(A + B*x),x)","\frac{B\,a^2\,x^3}{3}+\frac{A\,a^2\,x^2}{2}+\frac{2\,B\,a\,c\,x^5}{5}+\frac{A\,a\,c\,x^4}{2}+\frac{B\,c^2\,x^7}{7}+\frac{A\,c^2\,x^6}{6}","Not used",1,"(A*a^2*x^2)/2 + (B*a^2*x^3)/3 + (A*c^2*x^6)/6 + (B*c^2*x^7)/7 + (A*a*c*x^4)/2 + (2*B*a*c*x^5)/5","B"
261,1,50,45,0.024085,"\text{Not used}","int((a + c*x^2)^2*(A + B*x),x)","\frac{B\,a^2\,x^2}{2}+A\,a^2\,x+\frac{B\,a\,c\,x^4}{2}+\frac{2\,A\,a\,c\,x^3}{3}+\frac{B\,c^2\,x^6}{6}+\frac{A\,c^2\,x^5}{5}","Not used",1,"(B*a^2*x^2)/2 + (A*c^2*x^5)/5 + (B*c^2*x^6)/6 + A*a^2*x + (2*A*a*c*x^3)/3 + (B*a*c*x^4)/2","B"
262,1,47,53,0.030259,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x,x)","\frac{A\,c^2\,x^4}{4}+\frac{B\,c^2\,x^5}{5}+A\,a^2\,\ln\left(x\right)+B\,a^2\,x+A\,a\,c\,x^2+\frac{2\,B\,a\,c\,x^3}{3}","Not used",1,"(A*c^2*x^4)/4 + (B*c^2*x^5)/5 + A*a^2*log(x) + B*a^2*x + A*a*c*x^2 + (2*B*a*c*x^3)/3","B"
263,1,48,52,0.028941,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^2,x)","\frac{A\,c^2\,x^3}{3}-\frac{A\,a^2}{x}+\frac{B\,c^2\,x^4}{4}+B\,a^2\,\ln\left(x\right)+B\,a\,c\,x^2+2\,A\,a\,c\,x","Not used",1,"(A*c^2*x^3)/3 - (A*a^2)/x + (B*c^2*x^4)/4 + B*a^2*log(x) + B*a*c*x^2 + 2*A*a*c*x","B"
264,1,50,56,0.027957,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^3,x)","\frac{A\,c^2\,x^2}{2}-\frac{\frac{A\,a^2}{2}+B\,a^2\,x}{x^2}+\frac{B\,c^2\,x^3}{3}+2\,A\,a\,c\,\ln\left(x\right)+2\,B\,a\,c\,x","Not used",1,"(A*c^2*x^2)/2 - ((A*a^2)/2 + B*a^2*x)/x^2 + (B*c^2*x^3)/3 + 2*A*a*c*log(x) + 2*B*a*c*x","B"
265,1,77,93,0.033317,"\text{Not used}","int(x^3*(a + c*x^2)^3*(A + B*x),x)","\frac{B\,a^3\,x^5}{5}+\frac{A\,a^3\,x^4}{4}+\frac{3\,B\,a^2\,c\,x^7}{7}+\frac{A\,a^2\,c\,x^6}{2}+\frac{B\,a\,c^2\,x^9}{3}+\frac{3\,A\,a\,c^2\,x^8}{8}+\frac{B\,c^3\,x^{11}}{11}+\frac{A\,c^3\,x^{10}}{10}","Not used",1,"(A*a^3*x^4)/4 + (B*a^3*x^5)/5 + (A*c^3*x^10)/10 + (B*c^3*x^11)/11 + (A*a^2*c*x^6)/2 + (3*A*a*c^2*x^8)/8 + (3*B*a^2*c*x^7)/7 + (B*a*c^2*x^9)/3","B"
266,1,77,93,0.031537,"\text{Not used}","int(x^2*(a + c*x^2)^3*(A + B*x),x)","\frac{B\,a^3\,x^4}{4}+\frac{A\,a^3\,x^3}{3}+\frac{B\,a^2\,c\,x^6}{2}+\frac{3\,A\,a^2\,c\,x^5}{5}+\frac{3\,B\,a\,c^2\,x^8}{8}+\frac{3\,A\,a\,c^2\,x^7}{7}+\frac{B\,c^3\,x^{10}}{10}+\frac{A\,c^3\,x^9}{9}","Not used",1,"(A*a^3*x^3)/3 + (B*a^3*x^4)/4 + (A*c^3*x^9)/9 + (B*c^3*x^10)/10 + (3*A*a^2*c*x^5)/5 + (3*A*a*c^2*x^7)/7 + (B*a^2*c*x^6)/2 + (3*B*a*c^2*x^8)/8","B"
267,1,77,93,0.030724,"\text{Not used}","int(x*(a + c*x^2)^3*(A + B*x),x)","\frac{B\,a^3\,x^3}{3}+\frac{A\,a^3\,x^2}{2}+\frac{3\,B\,a^2\,c\,x^5}{5}+\frac{3\,A\,a^2\,c\,x^4}{4}+\frac{3\,B\,a\,c^2\,x^7}{7}+\frac{A\,a\,c^2\,x^6}{2}+\frac{B\,c^3\,x^9}{9}+\frac{A\,c^3\,x^8}{8}","Not used",1,"(A*a^3*x^2)/2 + (B*a^3*x^3)/3 + (A*c^3*x^8)/8 + (B*c^3*x^9)/9 + (3*A*a^2*c*x^4)/4 + (A*a*c^2*x^6)/2 + (3*B*a^2*c*x^5)/5 + (3*B*a*c^2*x^7)/7","B"
268,1,73,56,0.030651,"\text{Not used}","int((a + c*x^2)^3*(A + B*x),x)","\frac{B\,a^3\,x^2}{2}+A\,a^3\,x+\frac{3\,B\,a^2\,c\,x^4}{4}+A\,a^2\,c\,x^3+\frac{B\,a\,c^2\,x^6}{2}+\frac{3\,A\,a\,c^2\,x^5}{5}+\frac{B\,c^3\,x^8}{8}+\frac{A\,c^3\,x^7}{7}","Not used",1,"(B*a^3*x^2)/2 + (A*c^3*x^7)/7 + (B*c^3*x^8)/8 + A*a^3*x + A*a^2*c*x^3 + (3*A*a*c^2*x^5)/5 + (3*B*a^2*c*x^4)/4 + (B*a*c^2*x^6)/2","B"
269,1,71,81,0.035431,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x,x)","\frac{A\,c^3\,x^6}{6}+\frac{B\,c^3\,x^7}{7}+A\,a^3\,\ln\left(x\right)+B\,a^3\,x+\frac{3\,A\,a^2\,c\,x^2}{2}+\frac{3\,A\,a\,c^2\,x^4}{4}+B\,a^2\,c\,x^3+\frac{3\,B\,a\,c^2\,x^5}{5}","Not used",1,"(A*c^3*x^6)/6 + (B*c^3*x^7)/7 + A*a^3*log(x) + B*a^3*x + (3*A*a^2*c*x^2)/2 + (3*A*a*c^2*x^4)/4 + B*a^2*c*x^3 + (3*B*a*c^2*x^5)/5","B"
270,1,72,80,0.036900,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^2,x)","\frac{A\,c^3\,x^5}{5}-\frac{A\,a^3}{x}+\frac{B\,c^3\,x^6}{6}+B\,a^3\,\ln\left(x\right)+3\,A\,a^2\,c\,x+A\,a\,c^2\,x^3+\frac{3\,B\,a^2\,c\,x^2}{2}+\frac{3\,B\,a\,c^2\,x^4}{4}","Not used",1,"(A*c^3*x^5)/5 - (A*a^3)/x + (B*c^3*x^6)/6 + B*a^3*log(x) + 3*A*a^2*c*x + A*a*c^2*x^3 + (3*B*a^2*c*x^2)/2 + (3*B*a*c^2*x^4)/4","B"
271,1,73,81,0.034230,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^3,x)","\frac{A\,c^3\,x^4}{4}-\frac{\frac{A\,a^3}{2}+B\,a^3\,x}{x^2}+\frac{B\,c^3\,x^5}{5}+3\,B\,a^2\,c\,x+\frac{3\,A\,a\,c^2\,x^2}{2}+B\,a\,c^2\,x^3+3\,A\,a^2\,c\,\ln\left(x\right)","Not used",1,"(A*c^3*x^4)/4 - ((A*a^3)/2 + B*a^3*x)/x^2 + (B*c^3*x^5)/5 + 3*B*a^2*c*x + (3*A*a*c^2*x^2)/2 + B*a*c^2*x^3 + 3*A*a^2*c*log(x)","B"
272,1,101,121,0.050230,"\text{Not used}","int(x^3*(a + c*x^2)^4*(A + B*x),x)","\frac{B\,a^4\,x^5}{5}+\frac{A\,a^4\,x^4}{4}+\frac{4\,B\,a^3\,c\,x^7}{7}+\frac{2\,A\,a^3\,c\,x^6}{3}+\frac{2\,B\,a^2\,c^2\,x^9}{3}+\frac{3\,A\,a^2\,c^2\,x^8}{4}+\frac{4\,B\,a\,c^3\,x^{11}}{11}+\frac{2\,A\,a\,c^3\,x^{10}}{5}+\frac{B\,c^4\,x^{13}}{13}+\frac{A\,c^4\,x^{12}}{12}","Not used",1,"(A*a^4*x^4)/4 + (B*a^4*x^5)/5 + (A*c^4*x^12)/12 + (B*c^4*x^13)/13 + (2*A*a^3*c*x^6)/3 + (2*A*a*c^3*x^10)/5 + (4*B*a^3*c*x^7)/7 + (4*B*a*c^3*x^11)/11 + (3*A*a^2*c^2*x^8)/4 + (2*B*a^2*c^2*x^9)/3","B"
273,1,101,121,0.045200,"\text{Not used}","int(x^2*(a + c*x^2)^4*(A + B*x),x)","\frac{B\,a^4\,x^4}{4}+\frac{A\,a^4\,x^3}{3}+\frac{2\,B\,a^3\,c\,x^6}{3}+\frac{4\,A\,a^3\,c\,x^5}{5}+\frac{3\,B\,a^2\,c^2\,x^8}{4}+\frac{6\,A\,a^2\,c^2\,x^7}{7}+\frac{2\,B\,a\,c^3\,x^{10}}{5}+\frac{4\,A\,a\,c^3\,x^9}{9}+\frac{B\,c^4\,x^{12}}{12}+\frac{A\,c^4\,x^{11}}{11}","Not used",1,"(A*a^4*x^3)/3 + (B*a^4*x^4)/4 + (A*c^4*x^11)/11 + (B*c^4*x^12)/12 + (4*A*a^3*c*x^5)/5 + (4*A*a*c^3*x^9)/9 + (2*B*a^3*c*x^6)/3 + (2*B*a*c^3*x^10)/5 + (6*A*a^2*c^2*x^7)/7 + (3*B*a^2*c^2*x^8)/4","B"
274,1,99,115,0.046740,"\text{Not used}","int(x*(a + c*x^2)^4*(A + B*x),x)","\frac{B\,a^4\,x^3}{3}+\frac{A\,a^4\,x^2}{2}+\frac{4\,B\,a^3\,c\,x^5}{5}+A\,a^3\,c\,x^4+\frac{6\,B\,a^2\,c^2\,x^7}{7}+A\,a^2\,c^2\,x^6+\frac{4\,B\,a\,c^3\,x^9}{9}+\frac{A\,a\,c^3\,x^8}{2}+\frac{B\,c^4\,x^{11}}{11}+\frac{A\,c^4\,x^{10}}{10}","Not used",1,"(A*a^4*x^2)/2 + (B*a^4*x^3)/3 + (A*c^4*x^10)/10 + (B*c^4*x^11)/11 + A*a^3*c*x^4 + (A*a*c^3*x^8)/2 + (4*B*a^3*c*x^5)/5 + (4*B*a*c^3*x^9)/9 + A*a^2*c^2*x^6 + (6*B*a^2*c^2*x^7)/7","B"
275,1,96,73,0.046516,"\text{Not used}","int((a + c*x^2)^4*(A + B*x),x)","\frac{B\,a^4\,x^2}{2}+A\,a^4\,x+B\,a^3\,c\,x^4+\frac{4\,A\,a^3\,c\,x^3}{3}+B\,a^2\,c^2\,x^6+\frac{6\,A\,a^2\,c^2\,x^5}{5}+\frac{B\,a\,c^3\,x^8}{2}+\frac{4\,A\,a\,c^3\,x^7}{7}+\frac{B\,c^4\,x^{10}}{10}+\frac{A\,c^4\,x^9}{9}","Not used",1,"(B*a^4*x^2)/2 + (A*c^4*x^9)/9 + (B*c^4*x^10)/10 + A*a^4*x + (4*A*a^3*c*x^3)/3 + (4*A*a*c^3*x^7)/7 + B*a^3*c*x^4 + (B*a*c^3*x^8)/2 + (6*A*a^2*c^2*x^5)/5 + B*a^2*c^2*x^6","B"
276,1,96,110,0.050507,"\text{Not used}","int(((a + c*x^2)^4*(A + B*x))/x,x)","\frac{A\,c^4\,x^8}{8}+\frac{B\,c^4\,x^9}{9}+A\,a^4\,\ln\left(x\right)+B\,a^4\,x+2\,A\,a^3\,c\,x^2+\frac{2\,A\,a\,c^3\,x^6}{3}+\frac{4\,B\,a^3\,c\,x^3}{3}+\frac{4\,B\,a\,c^3\,x^7}{7}+\frac{3\,A\,a^2\,c^2\,x^4}{2}+\frac{6\,B\,a^2\,c^2\,x^5}{5}","Not used",1,"(A*c^4*x^8)/8 + (B*c^4*x^9)/9 + A*a^4*log(x) + B*a^4*x + 2*A*a^3*c*x^2 + (2*A*a*c^3*x^6)/3 + (4*B*a^3*c*x^3)/3 + (4*B*a*c^3*x^7)/7 + (3*A*a^2*c^2*x^4)/2 + (6*B*a^2*c^2*x^5)/5","B"
277,1,97,107,0.053482,"\text{Not used}","int(((a + c*x^2)^4*(A + B*x))/x^2,x)","\frac{A\,c^4\,x^7}{7}-\frac{A\,a^4}{x}+\frac{B\,c^4\,x^8}{8}+B\,a^4\,\ln\left(x\right)+4\,A\,a^3\,c\,x+\frac{4\,A\,a\,c^3\,x^5}{5}+2\,B\,a^3\,c\,x^2+\frac{2\,B\,a\,c^3\,x^6}{3}+2\,A\,a^2\,c^2\,x^3+\frac{3\,B\,a^2\,c^2\,x^4}{2}","Not used",1,"(A*c^4*x^7)/7 - (A*a^4)/x + (B*c^4*x^8)/8 + B*a^4*log(x) + 4*A*a^3*c*x + (4*A*a*c^3*x^5)/5 + 2*B*a^3*c*x^2 + (2*B*a*c^3*x^6)/3 + 2*A*a^2*c^2*x^3 + (3*B*a^2*c^2*x^4)/2","B"
278,1,97,105,0.046731,"\text{Not used}","int(((a + c*x^2)^4*(A + B*x))/x^3,x)","\frac{A\,c^4\,x^6}{6}-\frac{\frac{A\,a^4}{2}+B\,a^4\,x}{x^2}+\frac{B\,c^4\,x^7}{7}+4\,B\,a^3\,c\,x+A\,a\,c^3\,x^4+\frac{4\,B\,a\,c^3\,x^5}{5}+4\,A\,a^3\,c\,\ln\left(x\right)+3\,A\,a^2\,c^2\,x^2+2\,B\,a^2\,c^2\,x^3","Not used",1,"(A*c^4*x^6)/6 - ((A*a^4)/2 + B*a^4*x)/x^2 + (B*c^4*x^7)/7 + 4*B*a^3*c*x + A*a*c^3*x^4 + (4*B*a*c^3*x^5)/5 + 4*A*a^3*c*log(x) + 3*A*a^2*c^2*x^2 + 2*B*a^2*c^2*x^3","B"
279,1,71,87,0.058832,"\text{Not used}","int((x^4*(d + e*x))/(a + c*x^2),x)","\frac{d\,x^3}{3\,c}+\frac{e\,x^4}{4\,c}+\frac{a^{3/2}\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{5/2}}+\frac{a^2\,e\,\ln\left(c\,x^2+a\right)}{2\,c^3}-\frac{a\,d\,x}{c^2}-\frac{a\,e\,x^2}{2\,c^2}","Not used",1,"(d*x^3)/(3*c) + (e*x^4)/(4*c) + (a^(3/2)*d*atan((c^(1/2)*x)/a^(1/2)))/c^(5/2) + (a^2*e*log(a + c*x^2))/(2*c^3) - (a*d*x)/c^2 - (a*e*x^2)/(2*c^2)","B"
280,1,59,73,0.052889,"\text{Not used}","int((x^3*(d + e*x))/(a + c*x^2),x)","\frac{d\,x^2}{2\,c}+\frac{e\,x^3}{3\,c}+\frac{a^{3/2}\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{5/2}}-\frac{a\,e\,x}{c^2}-\frac{a\,d\,\ln\left(c\,x^2+a\right)}{2\,c^2}","Not used",1,"(d*x^2)/(2*c) + (e*x^3)/(3*c) + (a^(3/2)*e*atan((c^(1/2)*x)/a^(1/2)))/c^(5/2) - (a*e*x)/c^2 - (a*d*log(a + c*x^2))/(2*c^2)","B"
281,1,49,61,1.062258,"\text{Not used}","int((x^2*(d + e*x))/(a + c*x^2),x)","\frac{e\,x^2}{2\,c}+\frac{d\,x}{c}-\frac{\sqrt{a}\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{3/2}}-\frac{a\,e\,\ln\left(c\,x^2+a\right)}{2\,c^2}","Not used",1,"(e*x^2)/(2*c) + (d*x)/c - (a^(1/2)*d*atan((c^(1/2)*x)/a^(1/2)))/c^(3/2) - (a*e*log(a + c*x^2))/(2*c^2)","B"
282,1,39,49,1.067173,"\text{Not used}","int((x*(d + e*x))/(a + c*x^2),x)","\frac{d\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{e\,x}{c}-\frac{\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{3/2}}","Not used",1,"(d*log(a + c*x^2))/(2*c) + (e*x)/c - (a^(1/2)*e*atan((c^(1/2)*x)/a^(1/2)))/c^(3/2)","B"
283,1,32,42,0.047301,"\text{Not used}","int((d + e*x)/(a + c*x^2),x)","\frac{e\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{c}}","Not used",1,"(e*log(a + c*x^2))/(2*c) + (d*atan((c^(1/2)*x)/a^(1/2)))/(a^(1/2)*c^(1/2))","B"
284,1,216,49,1.409284,"\text{Not used}","int((d + e*x)/(x*(a + c*x^2)),x)","\frac{d\,\ln\left(x\right)}{a}-\frac{d\,\ln\left(a\,e\,\sqrt{-a^3\,c}+3\,a^2\,c\,d-a^2\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^3\,c}\right)}{2\,a}-\frac{d\,\ln\left(a\,e\,\sqrt{-a^3\,c}-3\,a^2\,c\,d+a^2\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^3\,c}\right)}{2\,a}+\frac{e\,\ln\left(a\,e\,\sqrt{-a^3\,c}-3\,a^2\,c\,d+a^2\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^3\,c}\right)\,\sqrt{-a^3\,c}}{2\,a^2\,c}-\frac{e\,\ln\left(a\,e\,\sqrt{-a^3\,c}+3\,a^2\,c\,d-a^2\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^3\,c}\right)\,\sqrt{-a^3\,c}}{2\,a^2\,c}","Not used",1,"(d*log(x))/a - (d*log(a*e*(-a^3*c)^(1/2) + 3*a^2*c*d - a^2*c*e*x + 3*c*d*x*(-a^3*c)^(1/2)))/(2*a) - (d*log(a*e*(-a^3*c)^(1/2) - 3*a^2*c*d + a^2*c*e*x + 3*c*d*x*(-a^3*c)^(1/2)))/(2*a) + (e*log(a*e*(-a^3*c)^(1/2) - 3*a^2*c*d + a^2*c*e*x + 3*c*d*x*(-a^3*c)^(1/2))*(-a^3*c)^(1/2))/(2*a^2*c) - (e*log(a*e*(-a^3*c)^(1/2) + 3*a^2*c*d - a^2*c*e*x + 3*c*d*x*(-a^3*c)^(1/2))*(-a^3*c)^(1/2))/(2*a^2*c)","B"
285,1,131,59,1.214101,"\text{Not used}","int((d + e*x)/(x^2*(a + c*x^2)),x)","\frac{e\,\ln\left(x\right)}{a}-\frac{d}{a\,x}-\frac{\ln\left(3\,a^2\,e+d\,\sqrt{-a^3\,c}-3\,e\,x\,\sqrt{-a^3\,c}+a\,c\,d\,x\right)\,\left(a^2\,e+d\,\sqrt{-a^3\,c}\right)}{2\,a^3}-\frac{\ln\left(3\,a^2\,e-d\,\sqrt{-a^3\,c}+3\,e\,x\,\sqrt{-a^3\,c}+a\,c\,d\,x\right)\,\left(a^2\,e-d\,\sqrt{-a^3\,c}\right)}{2\,a^3}","Not used",1,"(e*log(x))/a - d/(a*x) - (log(3*a^2*e + d*(-a^3*c)^(1/2) - 3*e*x*(-a^3*c)^(1/2) + a*c*d*x)*(a^2*e + d*(-a^3*c)^(1/2)))/(2*a^3) - (log(3*a^2*e - d*(-a^3*c)^(1/2) + 3*e*x*(-a^3*c)^(1/2) + a*c*d*x)*(a^2*e - d*(-a^3*c)^(1/2)))/(2*a^3)","B"
286,1,154,73,1.253848,"\text{Not used}","int((d + e*x)/(x^3*(a + c*x^2)),x)","\frac{\ln\left(a\,e\,\sqrt{-a^5\,c}+3\,a^3\,c\,d-a^3\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^5\,c}\right)\,\left(e\,\sqrt{-a^5\,c}+a^2\,c\,d\right)}{2\,a^4}-\frac{\ln\left(a\,e\,\sqrt{-a^5\,c}-3\,a^3\,c\,d+a^3\,c\,e\,x+3\,c\,d\,x\,\sqrt{-a^5\,c}\right)\,\left(e\,\sqrt{-a^5\,c}-a^2\,c\,d\right)}{2\,a^4}-\frac{\frac{d}{2\,a}+\frac{e\,x}{a}}{x^2}-\frac{c\,d\,\ln\left(x\right)}{a^2}","Not used",1,"(log(a*e*(-a^5*c)^(1/2) + 3*a^3*c*d - a^3*c*e*x + 3*c*d*x*(-a^5*c)^(1/2))*(e*(-a^5*c)^(1/2) + a^2*c*d))/(2*a^4) - (log(a*e*(-a^5*c)^(1/2) - 3*a^3*c*d + a^3*c*e*x + 3*c*d*x*(-a^5*c)^(1/2))*(e*(-a^5*c)^(1/2) - a^2*c*d))/(2*a^4) - (d/(2*a) + (e*x)/a)/x^2 - (c*d*log(x))/a^2","B"
287,1,177,83,0.258318,"\text{Not used}","int((d + e*x)/(x^4*(a + c*x^2)),x)","\frac{\ln\left(d\,\sqrt{-a^5\,c^3}-3\,e\,x\,\sqrt{-a^5\,c^3}+3\,a^3\,c\,e+a^2\,c^2\,d\,x\right)\,\left(d\,\sqrt{-a^5\,c^3}+a^3\,c\,e\right)}{2\,a^5}-\frac{\frac{d}{3\,a}+\frac{e\,x}{2\,a}-\frac{c\,d\,x^2}{a^2}}{x^3}-\frac{\ln\left(3\,e\,x\,\sqrt{-a^5\,c^3}-d\,\sqrt{-a^5\,c^3}+3\,a^3\,c\,e+a^2\,c^2\,d\,x\right)\,\left(d\,\sqrt{-a^5\,c^3}-a^3\,c\,e\right)}{2\,a^5}-\frac{c\,e\,\ln\left(x\right)}{a^2}","Not used",1,"(log(d*(-a^5*c^3)^(1/2) - 3*e*x*(-a^5*c^3)^(1/2) + 3*a^3*c*e + a^2*c^2*d*x)*(d*(-a^5*c^3)^(1/2) + a^3*c*e))/(2*a^5) - (d/(3*a) + (e*x)/(2*a) - (c*d*x^2)/a^2)/x^3 - (log(3*e*x*(-a^5*c^3)^(1/2) - d*(-a^5*c^3)^(1/2) + 3*a^3*c*e + a^2*c^2*d*x)*(d*(-a^5*c^3)^(1/2) - a^3*c*e))/(2*a^5) - (c*e*log(x))/a^2","B"
288,1,103,43,0.211724,"\text{Not used}","int((d + e*x)/(a - c*x^2),x)","\frac{d\,\ln\left(a\,c+x\,\sqrt{a\,c^3}\right)\,\sqrt{a\,c^3}}{2\,a\,c^2}-\frac{e\,\ln\left(x\,\sqrt{a\,c^3}-a\,c\right)}{2\,c}-\frac{e\,\ln\left(a\,c+x\,\sqrt{a\,c^3}\right)}{2\,c}-\frac{d\,\ln\left(x\,\sqrt{a\,c^3}-a\,c\right)\,\sqrt{a\,c^3}}{2\,a\,c^2}","Not used",1,"(d*log(a*c + x*(a*c^3)^(1/2))*(a*c^3)^(1/2))/(2*a*c^2) - (e*log(x*(a*c^3)^(1/2) - a*c))/(2*c) - (e*log(a*c + x*(a*c^3)^(1/2)))/(2*c) - (d*log(x*(a*c^3)^(1/2) - a*c)*(a*c^3)^(1/2))/(2*a*c^2)","B"
289,1,81,85,0.063693,"\text{Not used}","int((x^4*(d + e*x))/(a + c*x^2)^2,x)","\frac{e\,x^2}{2\,c^2}-\frac{\frac{a^2\,e}{2\,c}-\frac{a\,d\,x}{2}}{c^3\,x^2+a\,c^2}+\frac{d\,x}{c^2}-\frac{3\,\sqrt{a}\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,c^{5/2}}-\frac{a\,e\,\ln\left(c\,x^2+a\right)}{c^3}","Not used",1,"(e*x^2)/(2*c^2) - ((a^2*e)/(2*c) - (a*d*x)/2)/(a*c^2 + c^3*x^2) + (d*x)/c^2 - (3*a^(1/2)*d*atan((c^(1/2)*x)/a^(1/2)))/(2*c^(5/2)) - (a*e*log(a + c*x^2))/c^3","B"
290,1,65,78,1.076642,"\text{Not used}","int((x^3*(d + e*x))/(a + c*x^2)^2,x)","\frac{\frac{a\,d}{2}+\frac{a\,e\,x}{2}}{c^3\,x^2+a\,c^2}+\frac{d\,\ln\left(c\,x^2+a\right)}{2\,c^2}+\frac{e\,x}{c^2}-\frac{3\,\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,c^{5/2}}","Not used",1,"((a*d)/2 + (a*e*x)/2)/(a*c^2 + c^3*x^2) + (d*log(a + c*x^2))/(2*c^2) + (e*x)/c^2 - (3*a^(1/2)*e*atan((c^(1/2)*x)/a^(1/2)))/(2*c^(5/2))","B"
291,1,72,67,1.042538,"\text{Not used}","int((x^2*(d + e*x))/(a + c*x^2)^2,x)","\frac{e\,\ln\left(c\,x^2+a\right)}{2\,c^2}-\frac{d\,x}{2\,\left(c^2\,x^2+a\,c\right)}+\frac{a\,e}{2\,\left(c^3\,x^2+a\,c^2\right)}+\frac{d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{3/2}}","Not used",1,"(e*log(a + c*x^2))/(2*c^2) - (d*x)/(2*(a*c + c^2*x^2)) + (a*e)/(2*(a*c^2 + c^3*x^2)) + (d*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(3/2))","B"
292,1,44,50,0.051116,"\text{Not used}","int((x*(d + e*x))/(a + c*x^2)^2,x)","\frac{e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{3/2}}-\frac{\frac{d}{2\,c}+\frac{e\,x}{2\,c}}{c\,x^2+a}","Not used",1,"(e*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(3/2)) - (d/(2*c) + (e*x)/(2*c))/(a + c*x^2)","B"
293,1,44,57,0.048079,"\text{Not used}","int((d + e*x)/(a + c*x^2)^2,x)","\frac{d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{c}}-\frac{\frac{e}{2\,c}-\frac{d\,x}{2\,a}}{c\,x^2+a}","Not used",1,"(d*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(3/2)*c^(1/2)) - (e/(2*c) - (d*x)/(2*a))/(a + c*x^2)","B"
294,1,165,73,1.261047,"\text{Not used}","int((d + e*x)/(x*(a + c*x^2)^2),x)","\frac{\frac{d}{2\,a}+\frac{e\,x}{2\,a}}{c\,x^2+a}+\frac{d\,\ln\left(x\right)}{a^2}+\frac{\ln\left(a\,e\,\sqrt{-a^5\,c}-6\,a^3\,c\,d+a^3\,c\,e\,x+6\,c\,d\,x\,\sqrt{-a^5\,c}\right)\,\left(e\,\sqrt{-a^5\,c}-2\,a^2\,c\,d\right)}{4\,a^4\,c}-\frac{\ln\left(a\,e\,\sqrt{-a^5\,c}+6\,a^3\,c\,d-a^3\,c\,e\,x+6\,c\,d\,x\,\sqrt{-a^5\,c}\right)\,\left(e\,\sqrt{-a^5\,c}+2\,a^2\,c\,d\right)}{4\,a^4\,c}","Not used",1,"(d/(2*a) + (e*x)/(2*a))/(a + c*x^2) + (d*log(x))/a^2 + (log(a*e*(-a^5*c)^(1/2) - 6*a^3*c*d + a^3*c*e*x + 6*c*d*x*(-a^5*c)^(1/2))*(e*(-a^5*c)^(1/2) - 2*a^2*c*d))/(4*a^4*c) - (log(a*e*(-a^5*c)^(1/2) + 6*a^3*c*d - a^3*c*e*x + 6*c*d*x*(-a^5*c)^(1/2))*(e*(-a^5*c)^(1/2) + 2*a^2*c*d))/(4*a^4*c)","B"
295,1,165,87,1.215808,"\text{Not used}","int((d + e*x)/(x^2*(a + c*x^2)^2),x)","\frac{e\,\ln\left(x\right)}{a^2}-\frac{\ln\left(2\,a^3\,e+d\,\sqrt{-a^5\,c}-2\,e\,x\,\sqrt{-a^5\,c}+a^2\,c\,d\,x\right)\,\left(2\,a^3\,e+3\,d\,\sqrt{-a^5\,c}\right)}{4\,a^5}-\frac{\ln\left(2\,a^3\,e-d\,\sqrt{-a^5\,c}+2\,e\,x\,\sqrt{-a^5\,c}+a^2\,c\,d\,x\right)\,\left(2\,a^3\,e-3\,d\,\sqrt{-a^5\,c}\right)}{4\,a^5}-\frac{\frac{d}{a}-\frac{e\,x}{2\,a}+\frac{3\,c\,d\,x^2}{2\,a^2}}{c\,x^3+a\,x}","Not used",1,"(e*log(x))/a^2 - (log(2*a^3*e + d*(-a^5*c)^(1/2) - 2*e*x*(-a^5*c)^(1/2) + a^2*c*d*x)*(2*a^3*e + 3*d*(-a^5*c)^(1/2)))/(4*a^5) - (log(2*a^3*e - d*(-a^5*c)^(1/2) + 2*e*x*(-a^5*c)^(1/2) + a^2*c*d*x)*(2*a^3*e - 3*d*(-a^5*c)^(1/2)))/(4*a^5) - (d/a - (e*x)/(2*a) + (3*c*d*x^2)/(2*a^2))/(a*x + c*x^3)","B"
296,1,186,96,1.255779,"\text{Not used}","int((d + e*x)/(x^3*(a + c*x^2)^2),x)","\frac{\ln\left(a\,e\,\sqrt{-a^7\,c}+4\,a^4\,c\,d-a^4\,c\,e\,x+4\,c\,d\,x\,\sqrt{-a^7\,c}\right)\,\left(3\,e\,\sqrt{-a^7\,c}+4\,a^3\,c\,d\right)}{4\,a^6}-\frac{\ln\left(a\,e\,\sqrt{-a^7\,c}-4\,a^4\,c\,d+a^4\,c\,e\,x+4\,c\,d\,x\,\sqrt{-a^7\,c}\right)\,\left(3\,e\,\sqrt{-a^7\,c}-4\,a^3\,c\,d\right)}{4\,a^6}-\frac{\frac{d}{2\,a}+\frac{e\,x}{a}+\frac{c\,d\,x^2}{a^2}+\frac{3\,c\,e\,x^3}{2\,a^2}}{c\,x^4+a\,x^2}-\frac{2\,c\,d\,\ln\left(x\right)}{a^3}","Not used",1,"(log(a*e*(-a^7*c)^(1/2) + 4*a^4*c*d - a^4*c*e*x + 4*c*d*x*(-a^7*c)^(1/2))*(3*e*(-a^7*c)^(1/2) + 4*a^3*c*d))/(4*a^6) - (log(a*e*(-a^7*c)^(1/2) - 4*a^4*c*d + a^4*c*e*x + 4*c*d*x*(-a^7*c)^(1/2))*(3*e*(-a^7*c)^(1/2) - 4*a^3*c*d))/(4*a^6) - (d/(2*a) + (e*x)/a + (c*d*x^2)/a^2 + (3*c*e*x^3)/(2*a^2))/(a*x^2 + c*x^4) - (2*c*d*log(x))/a^3","B"
297,1,89,95,0.099639,"\text{Not used}","int((x^4*(d + e*x))/(a^2 - c^2*x^2),x)","-\frac{\ln\left(a+c\,x\right)\,\left(a^4\,e-a^3\,c\,d\right)}{2\,c^6}-\frac{\ln\left(a-c\,x\right)\,\left(e\,a^4+c\,d\,a^3\right)}{2\,c^6}-\frac{d\,x^3}{3\,c^2}-\frac{e\,x^4}{4\,c^2}-\frac{a^2\,e\,x^2}{2\,c^4}-\frac{a^2\,d\,x}{c^4}","Not used",1,"- (log(a + c*x)*(a^4*e - a^3*c*d))/(2*c^6) - (log(a - c*x)*(a^4*e + a^3*c*d))/(2*c^6) - (d*x^3)/(3*c^2) - (e*x^4)/(4*c^2) - (a^2*e*x^2)/(2*c^4) - (a^2*d*x)/c^4","B"
298,1,77,81,1.087466,"\text{Not used}","int((x^3*(d + e*x))/(a^2 - c^2*x^2),x)","\frac{\ln\left(a+c\,x\right)\,\left(a^3\,e-a^2\,c\,d\right)}{2\,c^5}-\frac{\ln\left(a-c\,x\right)\,\left(e\,a^3+c\,d\,a^2\right)}{2\,c^5}-\frac{d\,x^2}{2\,c^2}-\frac{e\,x^3}{3\,c^2}-\frac{a^2\,e\,x}{c^4}","Not used",1,"(log(a + c*x)*(a^3*e - a^2*c*d))/(2*c^5) - (log(a - c*x)*(a^3*e + a^2*c*d))/(2*c^5) - (d*x^2)/(2*c^2) - (e*x^3)/(3*c^2) - (a^2*e*x)/c^4","B"
299,1,61,63,0.082248,"\text{Not used}","int((x^2*(d + e*x))/(a^2 - c^2*x^2),x)","-\frac{e\,x^2}{2\,c^2}-\frac{\ln\left(a+c\,x\right)\,\left(a^2\,e-a\,c\,d\right)}{2\,c^4}-\frac{\ln\left(a-c\,x\right)\,\left(e\,a^2+c\,d\,a\right)}{2\,c^4}-\frac{d\,x}{c^2}","Not used",1,"- (e*x^2)/(2*c^2) - (log(a + c*x)*(a^2*e - a*c*d))/(2*c^4) - (log(a - c*x)*(a^2*e + a*c*d))/(2*c^4) - (d*x)/c^2","B"
300,1,60,50,1.102163,"\text{Not used}","int((x*(d + e*x))/(a^2 - c^2*x^2),x)","\frac{a\,e\,\ln\left(a+c\,x\right)}{2\,c^3}-\frac{d\,\ln\left(a-c\,x\right)}{2\,c^2}-\frac{e\,x}{c^2}-\frac{d\,\ln\left(a+c\,x\right)}{2\,c^2}-\frac{a\,e\,\ln\left(a-c\,x\right)}{2\,c^3}","Not used",1,"(a*e*log(a + c*x))/(2*c^3) - (d*log(a - c*x))/(2*c^2) - (e*x)/c^2 - (d*log(a + c*x))/(2*c^2) - (a*e*log(a - c*x))/(2*c^3)","B"
301,1,45,46,0.092148,"\text{Not used}","int((d + e*x)/(a^2 - c^2*x^2),x)","-\frac{\ln\left(a+c\,x\right)\,\left(a\,e-c\,d\right)}{2\,a\,c^2}-\frac{\ln\left(a-c\,x\right)\,\left(a\,e+c\,d\right)}{2\,a\,c^2}","Not used",1,"- (log(a + c*x)*(a*e - c*d))/(2*a*c^2) - (log(a - c*x)*(a*e + c*d))/(2*a*c^2)","B"
302,1,52,56,1.148785,"\text{Not used}","int((d + e*x)/(x*(a^2 - c^2*x^2)),x)","\frac{d\,\ln\left(x\right)}{a^2}+\frac{\ln\left(a+c\,x\right)\,\left(a\,e-c\,d\right)}{2\,a^2\,c}-\frac{\ln\left(a-c\,x\right)\,\left(a\,e+c\,d\right)}{2\,a^2\,c}","Not used",1,"(d*log(x))/a^2 + (log(a + c*x)*(a*e - c*d))/(2*a^2*c) - (log(a - c*x)*(a*e + c*d))/(2*a^2*c)","B"
303,1,55,59,0.094861,"\text{Not used}","int((d + e*x)/(x^2*(a^2 - c^2*x^2)),x)","\frac{e\,\ln\left(x\right)}{a^2}-\frac{\ln\left(a-c\,x\right)\,\left(a\,e+c\,d\right)}{2\,a^3}-\frac{d}{a^2\,x}-\frac{\ln\left(a+c\,x\right)\,\left(a\,e-c\,d\right)}{2\,a^3}","Not used",1,"(e*log(x))/a^2 - (log(a - c*x)*(a*e + c*d))/(2*a^3) - d/(a^2*x) - (log(a + c*x)*(a*e - c*d))/(2*a^3)","B"
304,1,73,75,0.105960,"\text{Not used}","int((d + e*x)/(x^3*(a^2 - c^2*x^2)),x)","\frac{c^2\,d\,\ln\left(x\right)}{a^4}-\frac{\ln\left(a+c\,x\right)\,\left(c^2\,d-a\,c\,e\right)}{2\,a^4}-\frac{\ln\left(a-c\,x\right)\,\left(d\,c^2+a\,e\,c\right)}{2\,a^4}-\frac{\frac{d}{2\,a^2}+\frac{e\,x}{a^2}}{x^2}","Not used",1,"(c^2*d*log(x))/a^4 - (log(a + c*x)*(c^2*d - a*c*e))/(2*a^4) - (log(a - c*x)*(c^2*d + a*c*e))/(2*a^4) - (d/(2*a^2) + (e*x)/a^2)/x^2","B"
305,1,89,93,1.110893,"\text{Not used}","int((d + e*x)/(x^4*(a^2 - c^2*x^2)),x)","\frac{\ln\left(a+c\,x\right)\,\left(c^3\,d-a\,c^2\,e\right)}{2\,a^5}-\frac{\frac{d}{3\,a^2}+\frac{e\,x}{2\,a^2}+\frac{c^2\,d\,x^2}{a^4}}{x^3}-\frac{\ln\left(a-c\,x\right)\,\left(d\,c^3+a\,e\,c^2\right)}{2\,a^5}+\frac{c^2\,e\,\ln\left(x\right)}{a^4}","Not used",1,"(log(a + c*x)*(c^3*d - a*c^2*e))/(2*a^5) - (d/(3*a^2) + (e*x)/(2*a^2) + (c^2*d*x^2)/a^4)/x^3 - (log(a - c*x)*(c^3*d + a*c^2*e))/(2*a^5) + (c^2*e*log(x))/a^4","B"
306,1,99,94,1.089955,"\text{Not used}","int((x^4*(d + e*x))/(a^2 - c^2*x^2)^2,x)","\frac{\frac{a^4\,e}{2\,c^2}+\frac{a^2\,d\,x}{2}}{a^2\,c^4-c^6\,x^2}+\frac{e\,x^2}{2\,c^4}+\frac{\ln\left(a+c\,x\right)\,\left(4\,a^2\,e-3\,a\,c\,d\right)}{4\,c^6}+\frac{\ln\left(a-c\,x\right)\,\left(4\,e\,a^2+3\,c\,d\,a\right)}{4\,c^6}+\frac{d\,x}{c^4}","Not used",1,"((a^4*e)/(2*c^2) + (a^2*d*x)/2)/(a^2*c^4 - c^6*x^2) + (e*x^2)/(2*c^4) + (log(a + c*x)*(4*a^2*e - 3*a*c*d))/(4*c^6) + (log(a - c*x)*(4*a^2*e + 3*a*c*d))/(4*c^6) + (d*x)/c^4","B"
307,1,81,84,1.081371,"\text{Not used}","int((x^3*(d + e*x))/(a^2 - c^2*x^2)^2,x)","\frac{\frac{a^2\,d}{2}+\frac{a^2\,e\,x}{2}}{a^2\,c^4-c^6\,x^2}-\frac{\ln\left(a+c\,x\right)\,\left(3\,a\,e-2\,c\,d\right)}{4\,c^5}+\frac{\ln\left(a-c\,x\right)\,\left(3\,a\,e+2\,c\,d\right)}{4\,c^5}+\frac{e\,x}{c^4}","Not used",1,"((a^2*d)/2 + (a^2*e*x)/2)/(a^2*c^4 - c^6*x^2) - (log(a + c*x)*(3*a*e - 2*c*d))/(4*c^5) + (log(a - c*x)*(3*a*e + 2*c*d))/(4*c^5) + (e*x)/c^4","B"
308,1,103,77,0.109492,"\text{Not used}","int((x^2*(d + e*x))/(a^2 - c^2*x^2)^2,x)","\frac{a^2\,e}{2\,\left(a^2\,c^4-c^6\,x^2\right)}+\frac{d\,x}{2\,\left(a^2\,c^2-c^4\,x^2\right)}+\frac{e\,\ln\left(a+c\,x\right)}{2\,c^4}+\frac{e\,\ln\left(a-c\,x\right)}{2\,c^4}-\frac{d\,\ln\left(a+c\,x\right)}{4\,a\,c^3}+\frac{d\,\ln\left(a-c\,x\right)}{4\,a\,c^3}","Not used",1,"(a^2*e)/(2*(a^2*c^4 - c^6*x^2)) + (d*x)/(2*(a^2*c^2 - c^4*x^2)) + (e*log(a + c*x))/(2*c^4) + (e*log(a - c*x))/(2*c^4) - (d*log(a + c*x))/(4*a*c^3) + (d*log(a - c*x))/(4*a*c^3)","B"
309,1,46,45,0.063633,"\text{Not used}","int((x*(d + e*x))/(a^2 - c^2*x^2)^2,x)","\frac{\frac{d}{2\,c^2}+\frac{e\,x}{2\,c^2}}{a^2-c^2\,x^2}-\frac{e\,\mathrm{atanh}\left(\frac{c\,x}{a}\right)}{2\,a\,c^3}","Not used",1,"(d/(2*c^2) + (e*x)/(2*c^2))/(a^2 - c^2*x^2) - (e*atanh((c*x)/a))/(2*a*c^3)","B"
310,1,46,55,1.067415,"\text{Not used}","int((d + e*x)/(a^2 - c^2*x^2)^2,x)","\frac{\frac{e}{2\,c^2}+\frac{d\,x}{2\,a^2}}{a^2-c^2\,x^2}+\frac{d\,\mathrm{atanh}\left(\frac{c\,x}{a}\right)}{2\,a^3\,c}","Not used",1,"(e/(2*c^2) + (d*x)/(2*a^2))/(a^2 - c^2*x^2) + (d*atanh((c*x)/a))/(2*a^3*c)","B"
311,1,82,84,0.110978,"\text{Not used}","int((d + e*x)/(x*(a^2 - c^2*x^2)^2),x)","\frac{\frac{d}{2\,a^2}+\frac{e\,x}{2\,a^2}}{a^2-c^2\,x^2}+\frac{d\,\ln\left(x\right)}{a^4}+\frac{\ln\left(a+c\,x\right)\,\left(a\,e-2\,c\,d\right)}{4\,a^4\,c}-\frac{\ln\left(a-c\,x\right)\,\left(a\,e+2\,c\,d\right)}{4\,a^4\,c}","Not used",1,"(d/(2*a^2) + (e*x)/(2*a^2))/(a^2 - c^2*x^2) + (d*log(x))/a^4 + (log(a + c*x)*(a*e - 2*c*d))/(4*a^4*c) - (log(a - c*x)*(a*e + 2*c*d))/(4*a^4*c)","B"
312,1,92,93,1.106845,"\text{Not used}","int((d + e*x)/(x^2*(a^2 - c^2*x^2)^2),x)","\frac{\frac{e\,x}{2\,a^2}-\frac{d}{a^2}+\frac{3\,c^2\,d\,x^2}{2\,a^4}}{a^2\,x-c^2\,x^3}-\frac{\ln\left(a+c\,x\right)\,\left(2\,a\,e-3\,c\,d\right)}{4\,a^5}-\frac{\ln\left(a-c\,x\right)\,\left(2\,a\,e+3\,c\,d\right)}{4\,a^5}+\frac{e\,\ln\left(x\right)}{a^4}","Not used",1,"((e*x)/(2*a^2) - d/a^2 + (3*c^2*d*x^2)/(2*a^4))/(a^2*x - c^2*x^3) - (log(a + c*x)*(2*a*e - 3*c*d))/(4*a^5) - (log(a - c*x)*(2*a*e + 3*c*d))/(4*a^5) + (e*log(x))/a^4","B"
313,1,116,108,1.111806,"\text{Not used}","int((d + e*x)/(x^3*(a^2 - c^2*x^2)^2),x)","\frac{2\,c^2\,d\,\ln\left(x\right)}{a^6}-\frac{\ln\left(a+c\,x\right)\,\left(4\,c^2\,d-3\,a\,c\,e\right)}{4\,a^6}-\frac{\ln\left(a-c\,x\right)\,\left(4\,d\,c^2+3\,a\,e\,c\right)}{4\,a^6}-\frac{\frac{d}{2\,a^2}+\frac{e\,x}{a^2}-\frac{c^2\,d\,x^2}{a^4}-\frac{3\,c^2\,e\,x^3}{2\,a^4}}{a^2\,x^2-c^2\,x^4}","Not used",1,"(2*c^2*d*log(x))/a^6 - (log(a + c*x)*(4*c^2*d - 3*a*c*e))/(4*a^6) - (log(a - c*x)*(4*c^2*d + 3*a*c*e))/(4*a^6) - (d/(2*a^2) + (e*x)/a^2 - (c^2*d*x^2)/a^4 - (3*c^2*e*x^3)/(2*a^4))/(a^2*x^2 - c^2*x^4)","B"
314,0,-1,152,0.000000,"\text{Not used}","int(x^4*(a + c*x^2)^(1/2)*(A + B*x),x)","\int x^4\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^4*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
315,0,-1,127,0.000000,"\text{Not used}","int(x^3*(a + c*x^2)^(1/2)*(A + B*x),x)","\int x^3\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^3*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
316,0,-1,104,0.000000,"\text{Not used}","int(x^2*(a + c*x^2)^(1/2)*(A + B*x),x)","\int x^2\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^2*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
317,0,-1,80,0.000000,"\text{Not used}","int(x*(a + c*x^2)^(1/2)*(A + B*x),x)","\int x\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
318,1,52,67,1.277030,"\text{Not used}","int((a + c*x^2)^(1/2)*(A + B*x),x)","\frac{B\,{\left(c\,x^2+a\right)}^{3/2}}{3\,c}+\frac{A\,x\,\sqrt{c\,x^2+a}}{2}+\frac{A\,a\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{2\,\sqrt{c}}","Not used",1,"(B*(a + c*x^2)^(3/2))/(3*c) + (A*x*(a + c*x^2)^(1/2))/2 + (A*a*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/(2*c^(1/2))","B"
319,1,68,79,1.360738,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x,x)","A\,\sqrt{c\,x^2+a}-A\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)+\frac{B\,x\,\sqrt{c\,x^2+a}}{2}+\frac{B\,a\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{2\,\sqrt{c}}","Not used",1,"A*(a + c*x^2)^(1/2) - A*a^(1/2)*atanh((a + c*x^2)^(1/2)/a^(1/2)) + (B*x*(a + c*x^2)^(1/2))/2 + (B*a*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/(2*c^(1/2))","B"
320,1,89,75,1.796656,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^2,x)","B\,\sqrt{c\,x^2+a}-\frac{A\,\sqrt{c\,x^2+a}}{x}-B\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)-\frac{A\,\sqrt{c}\,\mathrm{asin}\left(\frac{\sqrt{c}\,x\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}\,\sqrt{\frac{c\,x^2}{a}+1}}","Not used",1,"B*(a + c*x^2)^(1/2) - (A*(a + c*x^2)^(1/2))/x - B*a^(1/2)*atanh((a + c*x^2)^(1/2)/a^(1/2)) - (A*c^(1/2)*asin((c^(1/2)*x*1i)/a^(1/2))*(a + c*x^2)^(1/2)*1i)/(a^(1/2)*((c*x^2)/a + 1)^(1/2))","B"
321,1,94,80,1.867316,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^3,x)","-\frac{A\,\sqrt{c\,x^2+a}}{2\,x^2}-\frac{B\,\sqrt{c\,x^2+a}}{x}-\frac{A\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,\sqrt{a}}-\frac{B\,\sqrt{c}\,\mathrm{asin}\left(\frac{\sqrt{c}\,x\,1{}\mathrm{i}}{\sqrt{a}}\right)\,\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}\,\sqrt{\frac{c\,x^2}{a}+1}}","Not used",1,"- (A*(a + c*x^2)^(1/2))/(2*x^2) - (B*(a + c*x^2)^(1/2))/x - (A*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(1/2)) - (B*c^(1/2)*asin((c^(1/2)*x*1i)/a^(1/2))*(a + c*x^2)^(1/2)*1i)/(a^(1/2)*((c*x^2)/a + 1)^(1/2))","B"
322,1,55,71,1.888066,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^4,x)","-\frac{B\,\sqrt{c\,x^2+a}}{2\,x^2}-\frac{A\,{\left(c\,x^2+a\right)}^{3/2}}{3\,a\,x^3}-\frac{B\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"- (B*(a + c*x^2)^(1/2))/(2*x^2) - (A*(a + c*x^2)^(3/2))/(3*a*x^3) - (B*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(1/2))","B"
323,1,75,99,2.094453,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^5,x)","\frac{A\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{3/2}}-\frac{A\,\sqrt{c\,x^2+a}}{8\,x^4}-\frac{A\,{\left(c\,x^2+a\right)}^{3/2}}{8\,a\,x^4}-\frac{B\,{\left(c\,x^2+a\right)}^{3/2}}{3\,a\,x^3}","Not used",1,"(A*c^2*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(8*a^(3/2)) - (A*(a + c*x^2)^(1/2))/(8*x^4) - (A*(a + c*x^2)^(3/2))/(8*a*x^4) - (B*(a + c*x^2)^(3/2))/(3*a*x^3)","B"
324,1,95,122,2.372093,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^6,x)","\frac{B\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{3/2}}-\frac{B\,\sqrt{c\,x^2+a}}{8\,x^4}-\frac{B\,{\left(c\,x^2+a\right)}^{3/2}}{8\,a\,x^4}-\frac{A\,\sqrt{c\,x^2+a}\,\left(3\,a^2+a\,c\,x^2-2\,c^2\,x^4\right)}{15\,a^2\,x^5}","Not used",1,"(B*c^2*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(8*a^(3/2)) - (B*(a + c*x^2)^(1/2))/(8*x^4) - (B*(a + c*x^2)^(3/2))/(8*a*x^4) - (A*(a + c*x^2)^(1/2)*(3*a^2 - 2*c^2*x^4 + a*c*x^2))/(15*a^2*x^5)","B"
325,1,116,147,2.703630,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/x^7,x)","\frac{A\,{\left(c\,x^2+a\right)}^{5/2}}{16\,a^2\,x^6}-\frac{A\,{\left(c\,x^2+a\right)}^{3/2}}{6\,a\,x^6}-\frac{A\,\sqrt{c\,x^2+a}}{16\,x^6}-\frac{B\,\sqrt{c\,x^2+a}\,\left(3\,a^2+a\,c\,x^2-2\,c^2\,x^4\right)}{15\,a^2\,x^5}+\frac{A\,c^3\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{16\,a^{5/2}}","Not used",1,"(A*c^3*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*1i)/(16*a^(5/2)) - (A*(a + c*x^2)^(1/2))/(16*x^6) - (A*(a + c*x^2)^(3/2))/(6*a*x^6) + (A*(a + c*x^2)^(5/2))/(16*a^2*x^6) - (B*(a + c*x^2)^(1/2)*(3*a^2 - 2*c^2*x^4 + a*c*x^2))/(15*a^2*x^5)","B"
326,0,-1,175,0.000000,"\text{Not used}","int(x^4*(a + c*x^2)^(3/2)*(A + B*x),x)","\int x^4\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^4*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
327,0,-1,150,0.000000,"\text{Not used}","int(x^3*(a + c*x^2)^(3/2)*(A + B*x),x)","\int x^3\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^3*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
328,0,-1,127,0.000000,"\text{Not used}","int(x^2*(a + c*x^2)^(3/2)*(A + B*x),x)","\int x^2\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^2*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
329,0,-1,103,0.000000,"\text{Not used}","int(x*(a + c*x^2)^(3/2)*(A + B*x),x)","\int x\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
330,1,54,87,1.280897,"\text{Not used}","int((a + c*x^2)^(3/2)*(A + B*x),x)","\frac{B\,{\left(c\,x^2+a\right)}^{5/2}}{5\,c}+\frac{A\,x\,{\left(c\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(B*(a + c*x^2)^(5/2))/(5*c) + (A*x*(a + c*x^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(3/2)","B"
331,1,83,106,1.402586,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x,x)","\frac{A\,{\left(c\,x^2+a\right)}^{3/2}}{3}-A\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)+A\,a\,\sqrt{c\,x^2+a}+\frac{B\,x\,{\left(c\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(A*(a + c*x^2)^(3/2))/3 - A*a^(3/2)*atanh((a + c*x^2)^(1/2)/a^(1/2)) + A*a*(a + c*x^2)^(1/2) + (B*x*(a + c*x^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(3/2)","B"
332,1,86,108,1.975877,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^2,x)","\frac{B\,{\left(c\,x^2+a\right)}^{3/2}}{3}-B\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)+B\,a\,\sqrt{c\,x^2+a}-\frac{A\,{\left(c\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{c\,x^2}{a}\right)}{x\,{\left(\frac{c\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(B*(a + c*x^2)^(3/2))/3 - B*a^(3/2)*atanh((a + c*x^2)^(1/2)/a^(1/2)) + B*a*(a + c*x^2)^(1/2) - (A*(a + c*x^2)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -(c*x^2)/a))/(x*((c*x^2)/a + 1)^(3/2))","B"
333,1,91,111,2.204910,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^3,x)","A\,c\,\sqrt{c\,x^2+a}-\frac{A\,a\,\sqrt{c\,x^2+a}}{2\,x^2}-\frac{3\,A\,\sqrt{a}\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2}-\frac{B\,{\left(c\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{c\,x^2}{a}\right)}{x\,{\left(\frac{c\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"A*c*(a + c*x^2)^(1/2) - (A*a*(a + c*x^2)^(1/2))/(2*x^2) - (3*A*a^(1/2)*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/2 - (B*(a + c*x^2)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -(c*x^2)/a))/(x*((c*x^2)/a + 1)^(3/2))","B"
334,0,-1,109,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^4,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{x^4} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/x^4, x)","F"
335,0,-1,111,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^5,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{x^5} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/x^5, x)","F"
336,1,73,93,2.762118,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^6,x)","\frac{3\,B\,a\,\sqrt{c\,x^2+a}}{8\,x^4}-\frac{3\,B\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{8\,\sqrt{a}}-\frac{5\,B\,{\left(c\,x^2+a\right)}^{3/2}}{8\,x^4}-\frac{A\,{\left(c\,x^2+a\right)}^{5/2}}{5\,a\,x^5}","Not used",1,"(3*B*a*(a + c*x^2)^(1/2))/(8*x^4) - (3*B*c^2*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(8*a^(1/2)) - (5*B*(a + c*x^2)^(3/2))/(8*x^4) - (A*(a + c*x^2)^(5/2))/(5*a*x^5)","B"
337,1,94,124,3.206649,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^7,x)","\frac{A\,a\,\sqrt{c\,x^2+a}}{16\,x^6}-\frac{A\,{\left(c\,x^2+a\right)}^{3/2}}{6\,x^6}-\frac{A\,{\left(c\,x^2+a\right)}^{5/2}}{16\,a\,x^6}-\frac{B\,{\left(c\,x^2+a\right)}^{5/2}}{5\,a\,x^5}-\frac{A\,c^3\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{16\,a^{3/2}}","Not used",1,"(A*a*(a + c*x^2)^(1/2))/(16*x^6) - (A*c^3*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*1i)/(16*a^(3/2)) - (A*(a + c*x^2)^(3/2))/(6*x^6) - (A*(a + c*x^2)^(5/2))/(16*a*x^6) - (B*(a + c*x^2)^(5/2))/(5*a*x^5)","B"
338,1,150,147,3.766932,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/x^8,x)","\frac{B\,a\,\sqrt{c\,x^2+a}}{16\,x^6}-\frac{A\,a\,\sqrt{c\,x^2+a}}{7\,x^7}-\frac{B\,{\left(c\,x^2+a\right)}^{3/2}}{6\,x^6}-\frac{8\,A\,c\,\sqrt{c\,x^2+a}}{35\,x^5}-\frac{B\,{\left(c\,x^2+a\right)}^{5/2}}{16\,a\,x^6}-\frac{A\,c^2\,\sqrt{c\,x^2+a}}{35\,a\,x^3}+\frac{2\,A\,c^3\,\sqrt{c\,x^2+a}}{35\,a^2\,x}-\frac{B\,c^3\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{16\,a^{3/2}}","Not used",1,"(B*a*(a + c*x^2)^(1/2))/(16*x^6) - (B*c^3*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*1i)/(16*a^(3/2)) - (A*a*(a + c*x^2)^(1/2))/(7*x^7) - (B*(a + c*x^2)^(3/2))/(6*x^6) - (8*A*c*(a + c*x^2)^(1/2))/(35*x^5) - (B*(a + c*x^2)^(5/2))/(16*a*x^6) - (A*c^2*(a + c*x^2)^(1/2))/(35*a*x^3) + (2*A*c^3*(a + c*x^2)^(1/2))/(35*a^2*x)","B"
339,0,-1,198,0.000000,"\text{Not used}","int(x^4*(a + c*x^2)^(5/2)*(A + B*x),x)","\int x^4\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^4*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
340,0,-1,173,0.000000,"\text{Not used}","int(x^3*(a + c*x^2)^(5/2)*(A + B*x),x)","\int x^3\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^3*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
341,0,-1,150,0.000000,"\text{Not used}","int(x^2*(a + c*x^2)^(5/2)*(A + B*x),x)","\int x^2\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^2*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
342,0,-1,126,0.000000,"\text{Not used}","int(x*(a + c*x^2)^(5/2)*(A + B*x),x)","\int x\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
343,1,54,107,1.340113,"\text{Not used}","int((a + c*x^2)^(5/2)*(A + B*x),x)","\frac{B\,{\left(c\,x^2+a\right)}^{7/2}}{7\,c}+\frac{A\,x\,{\left(c\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{5/2}}","Not used",1,"(B*(a + c*x^2)^(7/2))/(7*c) + (A*x*(a + c*x^2)^(5/2)*hypergeom([-5/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(5/2)","B"
344,1,101,132,1.433871,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x,x)","\frac{A\,{\left(c\,x^2+a\right)}^{5/2}}{5}+A\,a^2\,\sqrt{c\,x^2+a}+\frac{A\,a\,{\left(c\,x^2+a\right)}^{3/2}}{3}+\frac{B\,x\,{\left(c\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{5/2}}+A\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}","Not used",1,"(A*(a + c*x^2)^(5/2))/5 + A*a^2*(a + c*x^2)^(1/2) + A*a^(5/2)*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*1i + (A*a*(a + c*x^2)^(3/2))/3 + (B*x*(a + c*x^2)^(5/2)*hypergeom([-5/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(5/2)","B"
345,1,104,136,2.230982,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^2,x)","\frac{B\,{\left(c\,x^2+a\right)}^{5/2}}{5}+B\,a^2\,\sqrt{c\,x^2+a}+\frac{B\,a\,{\left(c\,x^2+a\right)}^{3/2}}{3}-\frac{A\,{\left(c\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{c\,x^2}{a}\right)}{x\,{\left(\frac{c\,x^2}{a}+1\right)}^{5/2}}+B\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}","Not used",1,"(B*(a + c*x^2)^(5/2))/5 + B*a^2*(a + c*x^2)^(1/2) + B*a^(5/2)*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*1i + (B*a*(a + c*x^2)^(3/2))/3 - (A*(a + c*x^2)^(5/2)*hypergeom([-5/2, -1/2], 1/2, -(c*x^2)/a))/(x*((c*x^2)/a + 1)^(5/2))","B"
346,1,111,141,2.510295,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^3,x)","\frac{A\,c\,{\left(c\,x^2+a\right)}^{3/2}}{3}+2\,A\,a\,c\,\sqrt{c\,x^2+a}-\frac{A\,a^2\,\sqrt{c\,x^2+a}}{2\,x^2}-\frac{B\,{\left(c\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{c\,x^2}{a}\right)}{x\,{\left(\frac{c\,x^2}{a}+1\right)}^{5/2}}+\frac{A\,a^{3/2}\,c\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{2}","Not used",1,"(A*c*(a + c*x^2)^(3/2))/3 + 2*A*a*c*(a + c*x^2)^(1/2) - (A*a^2*(a + c*x^2)^(1/2))/(2*x^2) + (A*a^(3/2)*c*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*5i)/2 - (B*(a + c*x^2)^(5/2)*hypergeom([-5/2, -1/2], 1/2, -(c*x^2)/a))/(x*((c*x^2)/a + 1)^(5/2))","B"
347,0,-1,137,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^4,x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{x^4} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/x^4, x)","F"
348,0,-1,143,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^5,x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{x^5} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/x^5, x)","F"
349,0,-1,140,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^6,x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{x^6} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/x^6, x)","F"
350,0,-1,140,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^7,x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{x^7} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/x^7, x)","F"
351,1,150,115,4.389843,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^8,x)","\frac{5\,B\,a\,{\left(c\,x^2+a\right)}^{3/2}}{6\,x^6}-\frac{11\,B\,{\left(c\,x^2+a\right)}^{5/2}}{16\,x^6}-\frac{A\,a^2\,\sqrt{c\,x^2+a}}{7\,x^7}-\frac{5\,B\,a^2\,\sqrt{c\,x^2+a}}{16\,x^6}-\frac{3\,A\,c^2\,\sqrt{c\,x^2+a}}{7\,x^3}-\frac{A\,c^3\,\sqrt{c\,x^2+a}}{7\,a\,x}-\frac{3\,A\,a\,c\,\sqrt{c\,x^2+a}}{7\,x^5}+\frac{B\,c^3\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{16\,\sqrt{a}}","Not used",1,"(B*c^3*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*5i)/(16*a^(1/2)) - (11*B*(a + c*x^2)^(5/2))/(16*x^6) + (5*B*a*(a + c*x^2)^(3/2))/(6*x^6) - (A*a^2*(a + c*x^2)^(1/2))/(7*x^7) - (5*B*a^2*(a + c*x^2)^(1/2))/(16*x^6) - (3*A*c^2*(a + c*x^2)^(1/2))/(7*x^3) - (A*c^3*(a + c*x^2)^(1/2))/(7*a*x) - (3*A*a*c*(a + c*x^2)^(1/2))/(7*x^5)","B"
352,1,168,149,5.350089,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^9,x)","\frac{55\,A\,a\,{\left(c\,x^2+a\right)}^{3/2}}{384\,x^8}-\frac{73\,A\,{\left(c\,x^2+a\right)}^{5/2}}{384\,x^8}-\frac{5\,A\,a^2\,\sqrt{c\,x^2+a}}{128\,x^8}-\frac{5\,A\,{\left(c\,x^2+a\right)}^{7/2}}{128\,a\,x^8}-\frac{B\,a^2\,\sqrt{c\,x^2+a}}{7\,x^7}-\frac{3\,B\,c^2\,\sqrt{c\,x^2+a}}{7\,x^3}-\frac{B\,c^3\,\sqrt{c\,x^2+a}}{7\,a\,x}-\frac{3\,B\,a\,c\,\sqrt{c\,x^2+a}}{7\,x^5}-\frac{A\,c^4\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{128\,a^{3/2}}","Not used",1,"(55*A*a*(a + c*x^2)^(3/2))/(384*x^8) - (A*c^4*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*5i)/(128*a^(3/2)) - (73*A*(a + c*x^2)^(5/2))/(384*x^8) - (5*A*a^2*(a + c*x^2)^(1/2))/(128*x^8) - (5*A*(a + c*x^2)^(7/2))/(128*a*x^8) - (B*a^2*(a + c*x^2)^(1/2))/(7*x^7) - (3*B*c^2*(a + c*x^2)^(1/2))/(7*x^3) - (B*c^3*(a + c*x^2)^(1/2))/(7*a*x) - (3*B*a*c*(a + c*x^2)^(1/2))/(7*x^5)","B"
353,1,189,172,6.337493,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/x^10,x)","\frac{55\,B\,a\,{\left(c\,x^2+a\right)}^{3/2}}{384\,x^8}-\frac{73\,B\,{\left(c\,x^2+a\right)}^{5/2}}{384\,x^8}-\frac{A\,a^2\,\sqrt{c\,x^2+a}}{9\,x^9}-\frac{5\,B\,a^2\,\sqrt{c\,x^2+a}}{128\,x^8}-\frac{5\,B\,{\left(c\,x^2+a\right)}^{7/2}}{128\,a\,x^8}-\frac{5\,A\,c^2\,\sqrt{c\,x^2+a}}{21\,x^5}-\frac{A\,c^3\,\sqrt{c\,x^2+a}}{63\,a\,x^3}+\frac{2\,A\,c^4\,\sqrt{c\,x^2+a}}{63\,a^2\,x}-\frac{19\,A\,a\,c\,\sqrt{c\,x^2+a}}{63\,x^7}-\frac{B\,c^4\,\mathrm{atan}\left(\frac{\sqrt{c\,x^2+a}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{128\,a^{3/2}}","Not used",1,"(55*B*a*(a + c*x^2)^(3/2))/(384*x^8) - (B*c^4*atan(((a + c*x^2)^(1/2)*1i)/a^(1/2))*5i)/(128*a^(3/2)) - (73*B*(a + c*x^2)^(5/2))/(384*x^8) - (A*a^2*(a + c*x^2)^(1/2))/(9*x^9) - (5*B*a^2*(a + c*x^2)^(1/2))/(128*x^8) - (5*B*(a + c*x^2)^(7/2))/(128*a*x^8) - (5*A*c^2*(a + c*x^2)^(1/2))/(21*x^5) - (A*c^3*(a + c*x^2)^(1/2))/(63*a*x^3) + (2*A*c^4*(a + c*x^2)^(1/2))/(63*a^2*x) - (19*A*a*c*(a + c*x^2)^(1/2))/(63*x^7)","B"
354,0,-1,129,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
355,0,-1,104,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
356,1,93,81,1.639762,"\text{Not used}","int((x^2*(A + B*x))/(a + c*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{3\,B\,x^4+4\,A\,x^3}{12\,\sqrt{a}} & \text{\ if\ \ }c=0\\ \frac{A\,x\,\sqrt{c\,x^2+a}}{2\,c}-\frac{A\,a\,\ln\left(2\,\sqrt{c}\,x+2\,\sqrt{c\,x^2+a}\right)}{2\,c^{3/2}}-\frac{B\,\sqrt{c\,x^2+a}\,\left(2\,a-c\,x^2\right)}{3\,c^2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (4*A*x^3 + 3*B*x^4)/(12*a^(1/2)), c ~= 0, - (A*a*log(2*c^(1/2)*x + 2*(a + c*x^2)^(1/2)))/(2*c^(3/2)) + (A*x*(a + c*x^2)^(1/2))/(2*c) - (B*(a + c*x^2)^(1/2)*(2*a - c*x^2))/(3*c^2))","B"
357,1,82,56,1.431465,"\text{Not used}","int((x*(A + B*x))/(a + c*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{2\,B\,x^3+3\,A\,x^2}{6\,\sqrt{a}} & \text{\ if\ \ }c=0\\ \frac{A\,\sqrt{c\,x^2+a}}{c}-\frac{B\,a\,\ln\left(2\,\sqrt{c}\,x+2\,\sqrt{c\,x^2+a}\right)}{2\,c^{3/2}}+\frac{B\,x\,\sqrt{c\,x^2+a}}{2\,c} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (3*A*x^2 + 2*B*x^3)/(6*a^(1/2)), c ~= 0, (A*(a + c*x^2)^(1/2))/c - (B*a*log(2*c^(1/2)*x + 2*(a + c*x^2)^(1/2)))/(2*c^(3/2)) + (B*x*(a + c*x^2)^(1/2))/(2*c))","B"
358,1,36,43,1.333467,"\text{Not used}","int((A + B*x)/(a + c*x^2)^(1/2),x)","\frac{B\,\sqrt{c\,x^2+a}}{c}+\frac{A\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{\sqrt{c}}","Not used",1,"(B*(a + c*x^2)^(1/2))/c + (A*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(1/2)","B"
359,1,42,53,1.513657,"\text{Not used}","int((A + B*x)/(x*(a + c*x^2)^(1/2)),x)","\frac{B\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{\sqrt{c}}-\frac{A\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"(B*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(1/2) - (A*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(1/2)","B"
360,1,39,47,1.370408,"\text{Not used}","int((A + B*x)/(x^2*(a + c*x^2)^(1/2)),x)","-\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{A\,\sqrt{c\,x^2+a}}{a\,x}","Not used",1,"- (B*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(1/2) - (A*(a + c*x^2)^(1/2))/(a*x)","B"
361,1,58,72,1.493560,"\text{Not used}","int((A + B*x)/(x^3*(a + c*x^2)^(1/2)),x)","\frac{A\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{3/2}}-\frac{B\,\sqrt{c\,x^2+a}}{a\,x}-\frac{A\,\sqrt{c\,x^2+a}}{2\,a\,x^2}","Not used",1,"(A*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(3/2)) - (B*(a + c*x^2)^(1/2))/(a*x) - (A*(a + c*x^2)^(1/2))/(2*a*x^2)","B"
362,1,66,97,1.643637,"\text{Not used}","int((A + B*x)/(x^4*(a + c*x^2)^(1/2)),x)","\frac{B\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{3/2}}-\frac{B\,\sqrt{c\,x^2+a}}{2\,a\,x^2}-\frac{A\,\sqrt{c\,x^2+a}\,\left(a-2\,c\,x^2\right)}{3\,a^2\,x^3}","Not used",1,"(B*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(3/2)) - (B*(a + c*x^2)^(1/2))/(2*a*x^2) - (A*(a + c*x^2)^(1/2)*(a - 2*c*x^2))/(3*a^2*x^3)","B"
363,1,86,122,1.716723,"\text{Not used}","int((A + B*x)/(x^5*(a + c*x^2)^(1/2)),x)","\frac{3\,A\,{\left(c\,x^2+a\right)}^{3/2}}{8\,a^2\,x^4}-\frac{5\,A\,\sqrt{c\,x^2+a}}{8\,a\,x^4}-\frac{3\,A\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{5/2}}-\frac{B\,\sqrt{c\,x^2+a}\,\left(a-2\,c\,x^2\right)}{3\,a^2\,x^3}","Not used",1,"(3*A*(a + c*x^2)^(3/2))/(8*a^2*x^4) - (5*A*(a + c*x^2)^(1/2))/(8*a*x^4) - (3*A*c^2*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(8*a^(5/2)) - (B*(a + c*x^2)^(1/2)*(a - 2*c*x^2))/(3*a^2*x^3)","B"
364,1,99,147,1.788242,"\text{Not used}","int((A + B*x)/(x^6*(a + c*x^2)^(1/2)),x)","\frac{3\,B\,{\left(c\,x^2+a\right)}^{3/2}}{8\,a^2\,x^4}-\frac{5\,B\,\sqrt{c\,x^2+a}}{8\,a\,x^4}-\frac{3\,B\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{8\,a^{5/2}}-\frac{A\,\sqrt{c\,x^2+a}\,\left(3\,a^2-4\,a\,c\,x^2+8\,c^2\,x^4\right)}{15\,a^3\,x^5}","Not used",1,"(3*B*(a + c*x^2)^(3/2))/(8*a^2*x^4) - (5*B*(a + c*x^2)^(1/2))/(8*a*x^4) - (3*B*c^2*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(8*a^(5/2)) - (A*(a + c*x^2)^(1/2)*(3*a^2 + 8*c^2*x^4 - 4*a*c*x^2))/(15*a^3*x^5)","B"
365,0,-1,105,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
366,0,-1,81,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
367,1,61,66,1.470415,"\text{Not used}","int((x^2*(A + B*x))/(a + c*x^2)^(3/2),x)","\frac{A\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{c^{3/2}}-\frac{A\,x}{c\,\sqrt{c\,x^2+a}}+\frac{B\,\left(c\,x^2+2\,a\right)}{c^2\,\sqrt{c\,x^2+a}}","Not used",1,"(A*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(3/2) - (A*x)/(c*(a + c*x^2)^(1/2)) + (B*(2*a + c*x^2))/(c^2*(a + c*x^2)^(1/2))","B"
368,1,53,48,1.216012,"\text{Not used}","int((x*(A + B*x))/(a + c*x^2)^(3/2),x)","\frac{B\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{c^{3/2}}-\frac{A}{c\,\sqrt{c\,x^2+a}}-\frac{B\,x}{c\,\sqrt{c\,x^2+a}}","Not used",1,"(B*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(3/2) - A/(c*(a + c*x^2)^(1/2)) - (B*x)/(c*(a + c*x^2)^(1/2))","B"
369,1,24,28,1.075674,"\text{Not used}","int((A + B*x)/(a + c*x^2)^(3/2),x)","-\frac{\frac{B}{c}-\frac{A\,x}{a}}{\sqrt{c\,x^2+a}}","Not used",1,"-(B/c - (A*x)/a)/(a + c*x^2)^(1/2)","B"
370,1,50,47,1.433428,"\text{Not used}","int((A + B*x)/(x*(a + c*x^2)^(3/2)),x)","\frac{A}{a\,\sqrt{c\,x^2+a}}-\frac{A\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{a^{3/2}}+\frac{B\,x}{a\,\sqrt{c\,x^2+a}}","Not used",1,"A/(a*(a + c*x^2)^(1/2)) - (A*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(3/2) + (B*x)/(a*(a + c*x^2)^(1/2))","B"
371,1,70,70,1.582002,"\text{Not used}","int((A + B*x)/(x^2*(a + c*x^2)^(3/2)),x)","\frac{B}{a\,\sqrt{c\,x^2+a}}-\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{A}{a\,x\,\sqrt{c\,x^2+a}}-\frac{2\,A\,c\,x}{a^2\,\sqrt{c\,x^2+a}}","Not used",1,"B/(a*(a + c*x^2)^(1/2)) - (B*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(3/2) - A/(a*x*(a + c*x^2)^(1/2)) - (2*A*c*x)/(a^2*(a + c*x^2)^(1/2))","B"
372,1,94,95,1.734490,"\text{Not used}","int((A + B*x)/(x^3*(a + c*x^2)^(3/2)),x)","\frac{3\,A\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{3\,A\,c}{2\,a^2\,\sqrt{c\,x^2+a}}-\frac{A}{2\,a\,x^2\,\sqrt{c\,x^2+a}}-\frac{\sqrt{c\,x^2+a}\,\left(\frac{B}{a}+\frac{2\,B\,c\,x^2}{a^2}\right)}{c\,x^3+a\,x}","Not used",1,"(3*A*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(5/2)) - (3*A*c)/(2*a^2*(a + c*x^2)^(1/2)) - A/(2*a*x^2*(a + c*x^2)^(1/2)) - ((a + c*x^2)^(1/2)*(B/a + (2*B*c*x^2)/a^2))/(a*x + c*x^3)","B"
373,1,95,120,1.850953,"\text{Not used}","int((A + B*x)/(x^4*(a + c*x^2)^(3/2)),x)","\frac{3\,B\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{B}{2\,a\,x^2\,\sqrt{c\,x^2+a}}-\frac{3\,B\,c}{2\,a^2\,\sqrt{c\,x^2+a}}+\frac{A\,\left(-a^2+4\,a\,c\,x^2+8\,c^2\,x^4\right)}{3\,a^3\,x^3\,\sqrt{c\,x^2+a}}","Not used",1,"(3*B*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(5/2)) - B/(2*a*x^2*(a + c*x^2)^(1/2)) - (3*B*c)/(2*a^2*(a + c*x^2)^(1/2)) + (A*(8*c^2*x^4 - a^2 + 4*a*c*x^2))/(3*a^3*x^3*(a + c*x^2)^(1/2))","B"
374,0,-1,99,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
375,0,-1,79,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
376,1,51,53,1.134891,"\text{Not used}","int((x^2*(A + B*x))/(a + c*x^2)^(5/2),x)","\frac{B\,a^2-3\,B\,a\,\left(c\,x^2+a\right)+A\,c\,x\,\left(c\,x^2+a\right)-A\,a\,c\,x}{3\,a\,c^2\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(B*a^2 - 3*B*a*(a + c*x^2) + A*c*x*(a + c*x^2) - A*a*c*x)/(3*a*c^2*(a + c*x^2)^(3/2))","B"
377,1,34,50,1.092504,"\text{Not used}","int((x*(A + B*x))/(a + c*x^2)^(5/2),x)","\frac{B\,x^3}{3\,a\,{\left(c\,x^2+a\right)}^{3/2}}-\frac{A}{3\,c\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(B*x^3)/(3*a*(a + c*x^2)^(3/2)) - A/(3*c*(a + c*x^2)^(3/2))","B"
378,1,41,51,1.087592,"\text{Not used}","int((A + B*x)/(a + c*x^2)^(5/2),x)","\frac{2\,A\,c\,x\,\left(c\,x^2+a\right)-B\,a^2+A\,a\,c\,x}{3\,a^2\,c\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(2*A*c*x*(a + c*x^2) - B*a^2 + A*a*c*x)/(3*a^2*c*(a + c*x^2)^(3/2))","B"
379,1,80,76,1.511509,"\text{Not used}","int((A + B*x)/(x*(a + c*x^2)^(5/2)),x)","\frac{\frac{A}{3\,a}+\frac{A\,\left(c\,x^2+a\right)}{a^2}}{{\left(c\,x^2+a\right)}^{3/2}}+\frac{2\,B\,x\,\left(c\,x^2+a\right)+B\,a\,x}{3\,a^2\,{\left(c\,x^2+a\right)}^{3/2}}-\frac{A\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{a^{5/2}}","Not used",1,"(A/(3*a) + (A*(a + c*x^2))/a^2)/(a + c*x^2)^(3/2) + (2*B*x*(a + c*x^2) + B*a*x)/(3*a^2*(a + c*x^2)^(3/2)) - (A*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(5/2)","B"
380,1,96,104,1.688358,"\text{Not used}","int((A + B*x)/(x^2*(a + c*x^2)^(5/2)),x)","\frac{\frac{B}{3\,a}+\frac{B\,\left(c\,x^2+a\right)}{a^2}}{{\left(c\,x^2+a\right)}^{3/2}}-\frac{B\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{a^{5/2}}+\frac{A\,a^2-8\,A\,{\left(c\,x^2+a\right)}^2+4\,A\,a\,\left(c\,x^2+a\right)}{3\,a^3\,x\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(B/(3*a) + (B*(a + c*x^2))/a^2)/(a + c*x^2)^(3/2) - (B*atanh((a + c*x^2)^(1/2)/a^(1/2)))/a^(5/2) + (A*a^2 - 8*A*(a + c*x^2)^2 + 4*A*a*(a + c*x^2))/(3*a^3*x*(a + c*x^2)^(3/2))","B"
381,1,123,129,1.734455,"\text{Not used}","int((A + B*x)/(x^3*(a + c*x^2)^(5/2)),x)","\frac{B\,a^2-8\,B\,{\left(c\,x^2+a\right)}^2+4\,B\,a\,\left(c\,x^2+a\right)}{3\,a^3\,x\,{\left(c\,x^2+a\right)}^{3/2}}-\frac{10\,A\,c}{3\,a^2\,{\left(c\,x^2+a\right)}^{3/2}}-\frac{A}{2\,a\,x^2\,{\left(c\,x^2+a\right)}^{3/2}}+\frac{5\,A\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^2+a}}{\sqrt{a}}\right)}{2\,a^{7/2}}-\frac{5\,A\,c^2\,x^2}{2\,a^3\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(B*a^2 - 8*B*(a + c*x^2)^2 + 4*B*a*(a + c*x^2))/(3*a^3*x*(a + c*x^2)^(3/2)) - (10*A*c)/(3*a^2*(a + c*x^2)^(3/2)) - A/(2*a*x^2*(a + c*x^2)^(3/2)) + (5*A*c*atanh((a + c*x^2)^(1/2)/a^(1/2)))/(2*a^(7/2)) - (5*A*c^2*x^2)/(2*a^3*(a + c*x^2)^(3/2))","B"
382,1,59,71,1.180785,"\text{Not used}","int((d + e*x)/(a + c*x^2)^(7/2),x)","\frac{8\,c\,d\,x\,{\left(c\,x^2+a\right)}^2-3\,a^3\,e+3\,a^2\,c\,d\,x+4\,a\,c\,d\,x\,\left(c\,x^2+a\right)}{15\,a^3\,c\,{\left(c\,x^2+a\right)}^{5/2}}","Not used",1,"(8*c*d*x*(a + c*x^2)^2 - 3*a^3*e + 3*a^2*c*d*x + 4*a*c*d*x*(a + c*x^2))/(15*a^3*c*(a + c*x^2)^(5/2))","B"
383,1,74,91,1.183817,"\text{Not used}","int((d + e*x)/(a + c*x^2)^(9/2),x)","\frac{16\,d\,x}{35\,a^4\,\sqrt{c\,x^2+a}}-\frac{\frac{e}{7\,c}-\frac{d\,x}{7\,a}}{{\left(c\,x^2+a\right)}^{7/2}}+\frac{8\,d\,x}{35\,a^3\,{\left(c\,x^2+a\right)}^{3/2}}+\frac{6\,d\,x}{35\,a^2\,{\left(c\,x^2+a\right)}^{5/2}}","Not used",1,"(16*d*x)/(35*a^4*(a + c*x^2)^(1/2)) - (e/(7*c) - (d*x)/(7*a))/(a + c*x^2)^(7/2) + (8*d*x)/(35*a^3*(a + c*x^2)^(3/2)) + (6*d*x)/(35*a^2*(a + c*x^2)^(5/2))","B"
384,1,29,45,0.049195,"\text{Not used}","int(x^(7/2)*(a + c*x^2)*(A + B*x),x)","\frac{2\,A\,a\,x^{9/2}}{9}+\frac{2\,B\,a\,x^{11/2}}{11}+\frac{2\,A\,c\,x^{13/2}}{13}+\frac{2\,B\,c\,x^{15/2}}{15}","Not used",1,"(2*A*a*x^(9/2))/9 + (2*B*a*x^(11/2))/11 + (2*A*c*x^(13/2))/13 + (2*B*c*x^(15/2))/15","B"
385,1,29,45,0.044489,"\text{Not used}","int(x^(5/2)*(a + c*x^2)*(A + B*x),x)","\frac{2\,A\,a\,x^{7/2}}{7}+\frac{2\,B\,a\,x^{9/2}}{9}+\frac{2\,A\,c\,x^{11/2}}{11}+\frac{2\,B\,c\,x^{13/2}}{13}","Not used",1,"(2*A*a*x^(7/2))/7 + (2*B*a*x^(9/2))/9 + (2*A*c*x^(11/2))/11 + (2*B*c*x^(13/2))/13","B"
386,1,29,45,0.044496,"\text{Not used}","int(x^(3/2)*(a + c*x^2)*(A + B*x),x)","\frac{2\,A\,a\,x^{5/2}}{5}+\frac{2\,B\,a\,x^{7/2}}{7}+\frac{2\,A\,c\,x^{9/2}}{9}+\frac{2\,B\,c\,x^{11/2}}{11}","Not used",1,"(2*A*a*x^(5/2))/5 + (2*B*a*x^(7/2))/7 + (2*A*c*x^(9/2))/9 + (2*B*c*x^(11/2))/11","B"
387,1,29,45,0.044414,"\text{Not used}","int(x^(1/2)*(a + c*x^2)*(A + B*x),x)","\frac{2\,A\,a\,x^{3/2}}{3}+\frac{2\,B\,a\,x^{5/2}}{5}+\frac{2\,A\,c\,x^{7/2}}{7}+\frac{2\,B\,c\,x^{9/2}}{9}","Not used",1,"(2*A*a*x^(3/2))/3 + (2*B*a*x^(5/2))/5 + (2*A*c*x^(7/2))/7 + (2*B*c*x^(9/2))/9","B"
388,1,29,43,0.043002,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^(1/2),x)","2\,A\,a\,\sqrt{x}+\frac{2\,B\,a\,x^{3/2}}{3}+\frac{2\,A\,c\,x^{5/2}}{5}+\frac{2\,B\,c\,x^{7/2}}{7}","Not used",1,"2*A*a*x^(1/2) + (2*B*a*x^(3/2))/3 + (2*A*c*x^(5/2))/5 + (2*B*c*x^(7/2))/7","B"
389,1,29,41,0.051801,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^(3/2),x)","2\,B\,a\,\sqrt{x}-\frac{2\,A\,a}{\sqrt{x}}+\frac{2\,A\,c\,x^{3/2}}{3}+\frac{2\,B\,c\,x^{5/2}}{5}","Not used",1,"2*B*a*x^(1/2) - (2*A*a)/x^(1/2) + (2*A*c*x^(3/2))/3 + (2*B*c*x^(5/2))/5","B"
390,1,29,41,1.054606,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^(5/2),x)","-\frac{-2\,B\,c\,x^3-6\,A\,c\,x^2+6\,B\,a\,x+2\,A\,a}{3\,x^{3/2}}","Not used",1,"-(2*A*a + 6*B*a*x - 6*A*c*x^2 - 2*B*c*x^3)/(3*x^(3/2))","B"
391,1,29,41,0.035571,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^(7/2),x)","-\frac{-30\,B\,c\,x^3+30\,A\,c\,x^2+10\,B\,a\,x+6\,A\,a}{15\,x^{5/2}}","Not used",1,"-(6*A*a + 10*B*a*x + 30*A*c*x^2 - 30*B*c*x^3)/(15*x^(5/2))","B"
392,1,29,43,1.052519,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/x^(9/2),x)","-\frac{210\,B\,c\,x^3+70\,A\,c\,x^2+42\,B\,a\,x+30\,A\,a}{105\,x^{7/2}}","Not used",1,"-(30*A*a + 42*B*a*x + 70*A*c*x^2 + 210*B*c*x^3)/(105*x^(7/2))","B"
393,1,53,77,0.030109,"\text{Not used}","int(x^(7/2)*(a + c*x^2)^2*(A + B*x),x)","\frac{2\,A\,a^2\,x^{9/2}}{9}+\frac{2\,B\,a^2\,x^{11/2}}{11}+\frac{2\,A\,c^2\,x^{17/2}}{17}+\frac{2\,B\,c^2\,x^{19/2}}{19}+\frac{4\,A\,a\,c\,x^{13/2}}{13}+\frac{4\,B\,a\,c\,x^{15/2}}{15}","Not used",1,"(2*A*a^2*x^(9/2))/9 + (2*B*a^2*x^(11/2))/11 + (2*A*c^2*x^(17/2))/17 + (2*B*c^2*x^(19/2))/19 + (4*A*a*c*x^(13/2))/13 + (4*B*a*c*x^(15/2))/15","B"
394,1,53,77,0.026995,"\text{Not used}","int(x^(5/2)*(a + c*x^2)^2*(A + B*x),x)","\frac{2\,A\,a^2\,x^{7/2}}{7}+\frac{2\,B\,a^2\,x^{9/2}}{9}+\frac{2\,A\,c^2\,x^{15/2}}{15}+\frac{2\,B\,c^2\,x^{17/2}}{17}+\frac{4\,A\,a\,c\,x^{11/2}}{11}+\frac{4\,B\,a\,c\,x^{13/2}}{13}","Not used",1,"(2*A*a^2*x^(7/2))/7 + (2*B*a^2*x^(9/2))/9 + (2*A*c^2*x^(15/2))/15 + (2*B*c^2*x^(17/2))/17 + (4*A*a*c*x^(11/2))/11 + (4*B*a*c*x^(13/2))/13","B"
395,1,53,77,0.026819,"\text{Not used}","int(x^(3/2)*(a + c*x^2)^2*(A + B*x),x)","\frac{2\,A\,a^2\,x^{5/2}}{5}+\frac{2\,B\,a^2\,x^{7/2}}{7}+\frac{2\,A\,c^2\,x^{13/2}}{13}+\frac{2\,B\,c^2\,x^{15/2}}{15}+\frac{4\,A\,a\,c\,x^{9/2}}{9}+\frac{4\,B\,a\,c\,x^{11/2}}{11}","Not used",1,"(2*A*a^2*x^(5/2))/5 + (2*B*a^2*x^(7/2))/7 + (2*A*c^2*x^(13/2))/13 + (2*B*c^2*x^(15/2))/15 + (4*A*a*c*x^(9/2))/9 + (4*B*a*c*x^(11/2))/11","B"
396,1,53,77,0.029588,"\text{Not used}","int(x^(1/2)*(a + c*x^2)^2*(A + B*x),x)","\frac{2\,A\,a^2\,x^{3/2}}{3}+\frac{2\,B\,a^2\,x^{5/2}}{5}+\frac{2\,A\,c^2\,x^{11/2}}{11}+\frac{2\,B\,c^2\,x^{13/2}}{13}+\frac{4\,A\,a\,c\,x^{7/2}}{7}+\frac{4\,B\,a\,c\,x^{9/2}}{9}","Not used",1,"(2*A*a^2*x^(3/2))/3 + (2*B*a^2*x^(5/2))/5 + (2*A*c^2*x^(11/2))/11 + (2*B*c^2*x^(13/2))/13 + (4*A*a*c*x^(7/2))/7 + (4*B*a*c*x^(9/2))/9","B"
397,1,53,75,0.026367,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^(1/2),x)","2\,A\,a^2\,\sqrt{x}+\frac{2\,B\,a^2\,x^{3/2}}{3}+\frac{2\,A\,c^2\,x^{9/2}}{9}+\frac{2\,B\,c^2\,x^{11/2}}{11}+\frac{4\,A\,a\,c\,x^{5/2}}{5}+\frac{4\,B\,a\,c\,x^{7/2}}{7}","Not used",1,"2*A*a^2*x^(1/2) + (2*B*a^2*x^(3/2))/3 + (2*A*c^2*x^(9/2))/9 + (2*B*c^2*x^(11/2))/11 + (4*A*a*c*x^(5/2))/5 + (4*B*a*c*x^(7/2))/7","B"
398,1,53,73,0.029259,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^(3/2),x)","2\,B\,a^2\,\sqrt{x}-\frac{2\,A\,a^2}{\sqrt{x}}+\frac{2\,A\,c^2\,x^{7/2}}{7}+\frac{2\,B\,c^2\,x^{9/2}}{9}+\frac{4\,A\,a\,c\,x^{3/2}}{3}+\frac{4\,B\,a\,c\,x^{5/2}}{5}","Not used",1,"2*B*a^2*x^(1/2) - (2*A*a^2)/x^(1/2) + (2*A*c^2*x^(7/2))/7 + (2*B*c^2*x^(9/2))/9 + (4*A*a*c*x^(3/2))/3 + (4*B*a*c*x^(5/2))/5","B"
399,1,54,73,0.027106,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^(5/2),x)","\frac{2\,A\,c^2\,x^{5/2}}{5}-\frac{\frac{2\,A\,a^2}{3}+2\,B\,a^2\,x}{x^{3/2}}+\frac{2\,B\,c^2\,x^{7/2}}{7}+4\,A\,a\,c\,\sqrt{x}+\frac{4\,B\,a\,c\,x^{3/2}}{3}","Not used",1,"(2*A*c^2*x^(5/2))/5 - ((2*A*a^2)/3 + 2*B*a^2*x)/x^(3/2) + (2*B*c^2*x^(7/2))/7 + 4*A*a*c*x^(1/2) + (4*B*a*c*x^(3/2))/3","B"
400,1,54,73,0.051178,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^(7/2),x)","\frac{2\,A\,c^2\,x^{3/2}}{3}-\frac{\frac{2\,B\,a^2\,x}{3}+\frac{2\,A\,a^2}{5}+4\,A\,c\,a\,x^2}{x^{5/2}}+\frac{2\,B\,c^2\,x^{5/2}}{5}+4\,B\,a\,c\,\sqrt{x}","Not used",1,"(2*A*c^2*x^(3/2))/3 - ((2*A*a^2)/5 + (2*B*a^2*x)/3 + 4*A*a*c*x^2)/x^(5/2) + (2*B*c^2*x^(5/2))/5 + 4*B*a*c*x^(1/2)","B"
401,1,53,73,0.048006,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/x^(9/2),x)","-\frac{42\,B\,a^2\,x+30\,A\,a^2+420\,B\,a\,c\,x^3+140\,A\,a\,c\,x^2-70\,B\,c^2\,x^5-210\,A\,c^2\,x^4}{105\,x^{7/2}}","Not used",1,"-(30*A*a^2 - 210*A*c^2*x^4 - 70*B*c^2*x^5 + 42*B*a^2*x + 140*A*a*c*x^2 + 420*B*a*c*x^3)/(105*x^(7/2))","B"
402,1,77,109,0.037366,"\text{Not used}","int(x^(7/2)*(a + c*x^2)^3*(A + B*x),x)","\frac{2\,A\,a^3\,x^{9/2}}{9}+\frac{2\,B\,a^3\,x^{11/2}}{11}+\frac{2\,A\,c^3\,x^{21/2}}{21}+\frac{2\,B\,c^3\,x^{23/2}}{23}+\frac{6\,A\,a^2\,c\,x^{13/2}}{13}+\frac{6\,A\,a\,c^2\,x^{17/2}}{17}+\frac{2\,B\,a^2\,c\,x^{15/2}}{5}+\frac{6\,B\,a\,c^2\,x^{19/2}}{19}","Not used",1,"(2*A*a^3*x^(9/2))/9 + (2*B*a^3*x^(11/2))/11 + (2*A*c^3*x^(21/2))/21 + (2*B*c^3*x^(23/2))/23 + (6*A*a^2*c*x^(13/2))/13 + (6*A*a*c^2*x^(17/2))/17 + (2*B*a^2*c*x^(15/2))/5 + (6*B*a*c^2*x^(19/2))/19","B"
403,1,77,109,0.034156,"\text{Not used}","int(x^(5/2)*(a + c*x^2)^3*(A + B*x),x)","\frac{2\,A\,a^3\,x^{7/2}}{7}+\frac{2\,B\,a^3\,x^{9/2}}{9}+\frac{2\,A\,c^3\,x^{19/2}}{19}+\frac{2\,B\,c^3\,x^{21/2}}{21}+\frac{6\,A\,a^2\,c\,x^{11/2}}{11}+\frac{2\,A\,a\,c^2\,x^{15/2}}{5}+\frac{6\,B\,a^2\,c\,x^{13/2}}{13}+\frac{6\,B\,a\,c^2\,x^{17/2}}{17}","Not used",1,"(2*A*a^3*x^(7/2))/7 + (2*B*a^3*x^(9/2))/9 + (2*A*c^3*x^(19/2))/19 + (2*B*c^3*x^(21/2))/21 + (6*A*a^2*c*x^(11/2))/11 + (2*A*a*c^2*x^(15/2))/5 + (6*B*a^2*c*x^(13/2))/13 + (6*B*a*c^2*x^(17/2))/17","B"
404,1,77,109,0.033822,"\text{Not used}","int(x^(3/2)*(a + c*x^2)^3*(A + B*x),x)","\frac{2\,A\,a^3\,x^{5/2}}{5}+\frac{2\,B\,a^3\,x^{7/2}}{7}+\frac{2\,A\,c^3\,x^{17/2}}{17}+\frac{2\,B\,c^3\,x^{19/2}}{19}+\frac{2\,A\,a^2\,c\,x^{9/2}}{3}+\frac{6\,A\,a\,c^2\,x^{13/2}}{13}+\frac{6\,B\,a^2\,c\,x^{11/2}}{11}+\frac{2\,B\,a\,c^2\,x^{15/2}}{5}","Not used",1,"(2*A*a^3*x^(5/2))/5 + (2*B*a^3*x^(7/2))/7 + (2*A*c^3*x^(17/2))/17 + (2*B*c^3*x^(19/2))/19 + (2*A*a^2*c*x^(9/2))/3 + (6*A*a*c^2*x^(13/2))/13 + (6*B*a^2*c*x^(11/2))/11 + (2*B*a*c^2*x^(15/2))/5","B"
405,1,77,109,0.036096,"\text{Not used}","int(x^(1/2)*(a + c*x^2)^3*(A + B*x),x)","\frac{2\,A\,a^3\,x^{3/2}}{3}+\frac{2\,B\,a^3\,x^{5/2}}{5}+\frac{2\,A\,c^3\,x^{15/2}}{15}+\frac{2\,B\,c^3\,x^{17/2}}{17}+\frac{6\,A\,a^2\,c\,x^{7/2}}{7}+\frac{6\,A\,a\,c^2\,x^{11/2}}{11}+\frac{2\,B\,a^2\,c\,x^{9/2}}{3}+\frac{6\,B\,a\,c^2\,x^{13/2}}{13}","Not used",1,"(2*A*a^3*x^(3/2))/3 + (2*B*a^3*x^(5/2))/5 + (2*A*c^3*x^(15/2))/15 + (2*B*c^3*x^(17/2))/17 + (6*A*a^2*c*x^(7/2))/7 + (6*A*a*c^2*x^(11/2))/11 + (2*B*a^2*c*x^(9/2))/3 + (6*B*a*c^2*x^(13/2))/13","B"
406,1,77,107,0.035600,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(1/2),x)","2\,A\,a^3\,\sqrt{x}+\frac{2\,B\,a^3\,x^{3/2}}{3}+\frac{2\,A\,c^3\,x^{13/2}}{13}+\frac{2\,B\,c^3\,x^{15/2}}{15}+\frac{6\,A\,a^2\,c\,x^{5/2}}{5}+\frac{2\,A\,a\,c^2\,x^{9/2}}{3}+\frac{6\,B\,a^2\,c\,x^{7/2}}{7}+\frac{6\,B\,a\,c^2\,x^{11/2}}{11}","Not used",1,"2*A*a^3*x^(1/2) + (2*B*a^3*x^(3/2))/3 + (2*A*c^3*x^(13/2))/13 + (2*B*c^3*x^(15/2))/15 + (6*A*a^2*c*x^(5/2))/5 + (2*A*a*c^2*x^(9/2))/3 + (6*B*a^2*c*x^(7/2))/7 + (6*B*a*c^2*x^(11/2))/11","B"
407,1,77,103,0.037793,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(3/2),x)","2\,B\,a^3\,\sqrt{x}-\frac{2\,A\,a^3}{\sqrt{x}}+\frac{2\,A\,c^3\,x^{11/2}}{11}+\frac{2\,B\,c^3\,x^{13/2}}{13}+2\,A\,a^2\,c\,x^{3/2}+\frac{6\,A\,a\,c^2\,x^{7/2}}{7}+\frac{6\,B\,a^2\,c\,x^{5/2}}{5}+\frac{2\,B\,a\,c^2\,x^{9/2}}{3}","Not used",1,"2*B*a^3*x^(1/2) - (2*A*a^3)/x^(1/2) + (2*A*c^3*x^(11/2))/11 + (2*B*c^3*x^(13/2))/13 + 2*A*a^2*c*x^(3/2) + (6*A*a*c^2*x^(7/2))/7 + (6*B*a^2*c*x^(5/2))/5 + (2*B*a*c^2*x^(9/2))/3","B"
408,1,78,103,0.033079,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(5/2),x)","\frac{2\,A\,c^3\,x^{9/2}}{9}-\frac{\frac{2\,A\,a^3}{3}+2\,B\,a^3\,x}{x^{3/2}}+\frac{2\,B\,c^3\,x^{11/2}}{11}+6\,A\,a^2\,c\,\sqrt{x}+\frac{6\,A\,a\,c^2\,x^{5/2}}{5}+2\,B\,a^2\,c\,x^{3/2}+\frac{6\,B\,a\,c^2\,x^{7/2}}{7}","Not used",1,"(2*A*c^3*x^(9/2))/9 - ((2*A*a^3)/3 + 2*B*a^3*x)/x^(3/2) + (2*B*c^3*x^(11/2))/11 + 6*A*a^2*c*x^(1/2) + (6*A*a*c^2*x^(5/2))/5 + 2*B*a^2*c*x^(3/2) + (6*B*a*c^2*x^(7/2))/7","B"
409,1,78,103,0.031752,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(7/2),x)","\frac{2\,A\,c^3\,x^{7/2}}{7}-\frac{\frac{2\,B\,a^3\,x}{3}+\frac{2\,A\,a^3}{5}+6\,A\,c\,a^2\,x^2}{x^{5/2}}+\frac{2\,B\,c^3\,x^{9/2}}{9}+2\,A\,a\,c^2\,x^{3/2}+6\,B\,a^2\,c\,\sqrt{x}+\frac{6\,B\,a\,c^2\,x^{5/2}}{5}","Not used",1,"(2*A*c^3*x^(7/2))/7 - ((2*A*a^3)/5 + (2*B*a^3*x)/3 + 6*A*a^2*c*x^2)/x^(5/2) + (2*B*c^3*x^(9/2))/9 + 2*A*a*c^2*x^(3/2) + 6*B*a^2*c*x^(1/2) + (6*B*a*c^2*x^(5/2))/5","B"
410,1,78,101,0.030682,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(9/2),x)","\frac{2\,A\,c^3\,x^{5/2}}{5}-\frac{\frac{2\,B\,a^3\,x}{5}+\frac{2\,A\,a^3}{7}+6\,B\,c\,a^2\,x^3+2\,A\,c\,a^2\,x^2}{x^{7/2}}+\frac{2\,B\,c^3\,x^{7/2}}{7}+6\,A\,a\,c^2\,\sqrt{x}+2\,B\,a\,c^2\,x^{3/2}","Not used",1,"(2*A*c^3*x^(5/2))/5 - ((2*A*a^3)/7 + (2*B*a^3*x)/5 + 2*A*a^2*c*x^2 + 6*B*a^2*c*x^3)/x^(7/2) + (2*B*c^3*x^(7/2))/7 + 6*A*a*c^2*x^(1/2) + 2*B*a*c^2*x^(3/2)","B"
411,1,78,103,0.060174,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/x^(11/2),x)","\frac{2\,A\,c^3\,x^{3/2}}{3}-\frac{\frac{2\,B\,a^3\,x}{7}+\frac{2\,A\,a^3}{9}+2\,B\,a^2\,c\,x^3+\frac{6\,A\,a^2\,c\,x^2}{5}+6\,A\,a\,c^2\,x^4}{x^{9/2}}+\frac{2\,B\,c^3\,x^{5/2}}{5}+6\,B\,a\,c^2\,\sqrt{x}","Not used",1,"(2*A*c^3*x^(3/2))/3 - ((2*A*a^3)/9 + (2*B*a^3*x)/7 + (6*A*a^2*c*x^2)/5 + 6*A*a*c^2*x^4 + 2*B*a^2*c*x^3)/x^(9/2) + (2*B*c^3*x^(5/2))/5 + 6*B*a*c^2*x^(1/2)","B"
412,1,665,292,1.256133,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + c*x^2),x)","\frac{2\,A\,x^{3/2}}{3\,c}+\frac{2\,B\,x^{5/2}}{5\,c}-\frac{2\,B\,a\,\sqrt{x}}{c^2}-\mathrm{atan}\left(\frac{A^2\,a^3\,\sqrt{x}\,\sqrt{\frac{A\,B\,a^2}{2\,c^4}-\frac{A^2\,\sqrt{-a^3\,c^9}}{4\,c^8}+\frac{B^2\,a\,\sqrt{-a^3\,c^9}}{4\,c^9}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^4}{c^2}-\frac{16\,A\,B^2\,a^5}{c^3}-\frac{16\,B^3\,a^4\,\sqrt{-a^3\,c^9}}{c^8}+\frac{16\,A^2\,B\,a^3\,\sqrt{-a^3\,c^9}}{c^7}}-\frac{B^2\,a^4\,\sqrt{x}\,\sqrt{\frac{A\,B\,a^2}{2\,c^4}-\frac{A^2\,\sqrt{-a^3\,c^9}}{4\,c^8}+\frac{B^2\,a\,\sqrt{-a^3\,c^9}}{4\,c^9}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^4}{c}-\frac{16\,A\,B^2\,a^5}{c^2}-\frac{16\,B^3\,a^4\,\sqrt{-a^3\,c^9}}{c^7}+\frac{16\,A^2\,B\,a^3\,\sqrt{-a^3\,c^9}}{c^6}}\right)\,\sqrt{\frac{B^2\,a\,\sqrt{-a^3\,c^9}-A^2\,c\,\sqrt{-a^3\,c^9}+2\,A\,B\,a^2\,c^5}{4\,c^9}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^3\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^9}}{4\,c^8}+\frac{A\,B\,a^2}{2\,c^4}-\frac{B^2\,a\,\sqrt{-a^3\,c^9}}{4\,c^9}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^4}{c^2}-\frac{16\,A\,B^2\,a^5}{c^3}+\frac{16\,B^3\,a^4\,\sqrt{-a^3\,c^9}}{c^8}-\frac{16\,A^2\,B\,a^3\,\sqrt{-a^3\,c^9}}{c^7}}-\frac{B^2\,a^4\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^9}}{4\,c^8}+\frac{A\,B\,a^2}{2\,c^4}-\frac{B^2\,a\,\sqrt{-a^3\,c^9}}{4\,c^9}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^4}{c}-\frac{16\,A\,B^2\,a^5}{c^2}+\frac{16\,B^3\,a^4\,\sqrt{-a^3\,c^9}}{c^7}-\frac{16\,A^2\,B\,a^3\,\sqrt{-a^3\,c^9}}{c^6}}\right)\,\sqrt{\frac{A^2\,c\,\sqrt{-a^3\,c^9}-B^2\,a\,\sqrt{-a^3\,c^9}+2\,A\,B\,a^2\,c^5}{4\,c^9}}\,2{}\mathrm{i}","Not used",1,"(2*A*x^(3/2))/(3*c) - atan((A^2*a^3*x^(1/2)*((A^2*(-a^3*c^9)^(1/2))/(4*c^8) + (A*B*a^2)/(2*c^4) - (B^2*a*(-a^3*c^9)^(1/2))/(4*c^9))^(1/2)*32i)/((16*A^3*a^4)/c^2 - (16*A*B^2*a^5)/c^3 + (16*B^3*a^4*(-a^3*c^9)^(1/2))/c^8 - (16*A^2*B*a^3*(-a^3*c^9)^(1/2))/c^7) - (B^2*a^4*x^(1/2)*((A^2*(-a^3*c^9)^(1/2))/(4*c^8) + (A*B*a^2)/(2*c^4) - (B^2*a*(-a^3*c^9)^(1/2))/(4*c^9))^(1/2)*32i)/((16*A^3*a^4)/c - (16*A*B^2*a^5)/c^2 + (16*B^3*a^4*(-a^3*c^9)^(1/2))/c^7 - (16*A^2*B*a^3*(-a^3*c^9)^(1/2))/c^6))*((A^2*c*(-a^3*c^9)^(1/2) - B^2*a*(-a^3*c^9)^(1/2) + 2*A*B*a^2*c^5)/(4*c^9))^(1/2)*2i - atan((A^2*a^3*x^(1/2)*((A*B*a^2)/(2*c^4) - (A^2*(-a^3*c^9)^(1/2))/(4*c^8) + (B^2*a*(-a^3*c^9)^(1/2))/(4*c^9))^(1/2)*32i)/((16*A^3*a^4)/c^2 - (16*A*B^2*a^5)/c^3 - (16*B^3*a^4*(-a^3*c^9)^(1/2))/c^8 + (16*A^2*B*a^3*(-a^3*c^9)^(1/2))/c^7) - (B^2*a^4*x^(1/2)*((A*B*a^2)/(2*c^4) - (A^2*(-a^3*c^9)^(1/2))/(4*c^8) + (B^2*a*(-a^3*c^9)^(1/2))/(4*c^9))^(1/2)*32i)/((16*A^3*a^4)/c - (16*A*B^2*a^5)/c^2 - (16*B^3*a^4*(-a^3*c^9)^(1/2))/c^7 + (16*A^2*B*a^3*(-a^3*c^9)^(1/2))/c^6))*((B^2*a*(-a^3*c^9)^(1/2) - A^2*c*(-a^3*c^9)^(1/2) + 2*A*B*a^2*c^5)/(4*c^9))^(1/2)*2i + (2*B*x^(5/2))/(5*c) - (2*B*a*x^(1/2))/c^2","B"
413,1,601,278,0.247883,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + c*x^2),x)","\frac{2\,A\,\sqrt{x}}{c}+\frac{2\,B\,x^{3/2}}{3\,c}-\mathrm{atan}\left(\frac{B^2\,a^3\,\sqrt{x}\,\sqrt{\frac{B^2\,a\,\sqrt{-a\,c^7}}{4\,c^7}-\frac{A\,B\,a}{2\,c^3}-\frac{A^2\,\sqrt{-a\,c^7}}{4\,c^6}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^4}{c^2}-\frac{16\,A^3\,a^2\,\sqrt{-a\,c^7}}{c^4}-\frac{16\,A^2\,B\,a^3}{c}+\frac{16\,A\,B^2\,a^3\,\sqrt{-a\,c^7}}{c^5}}-\frac{A^2\,a^2\,c\,\sqrt{x}\,\sqrt{\frac{B^2\,a\,\sqrt{-a\,c^7}}{4\,c^7}-\frac{A\,B\,a}{2\,c^3}-\frac{A^2\,\sqrt{-a\,c^7}}{4\,c^6}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^4}{c^2}-\frac{16\,A^3\,a^2\,\sqrt{-a\,c^7}}{c^4}-\frac{16\,A^2\,B\,a^3}{c}+\frac{16\,A\,B^2\,a^3\,\sqrt{-a\,c^7}}{c^5}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a\,c^7}-B^2\,a\,\sqrt{-a\,c^7}+2\,A\,B\,a\,c^4}{4\,c^7}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^3\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a\,c^7}}{4\,c^6}-\frac{A\,B\,a}{2\,c^3}-\frac{B^2\,a\,\sqrt{-a\,c^7}}{4\,c^7}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^4}{c^2}+\frac{16\,A^3\,a^2\,\sqrt{-a\,c^7}}{c^4}-\frac{16\,A^2\,B\,a^3}{c}-\frac{16\,A\,B^2\,a^3\,\sqrt{-a\,c^7}}{c^5}}-\frac{A^2\,a^2\,c\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a\,c^7}}{4\,c^6}-\frac{A\,B\,a}{2\,c^3}-\frac{B^2\,a\,\sqrt{-a\,c^7}}{4\,c^7}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^4}{c^2}+\frac{16\,A^3\,a^2\,\sqrt{-a\,c^7}}{c^4}-\frac{16\,A^2\,B\,a^3}{c}-\frac{16\,A\,B^2\,a^3\,\sqrt{-a\,c^7}}{c^5}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a\,c^7}-A^2\,c\,\sqrt{-a\,c^7}+2\,A\,B\,a\,c^4}{4\,c^7}}\,2{}\mathrm{i}","Not used",1,"(2*A*x^(1/2))/c - atan((B^2*a^3*x^(1/2)*((A^2*(-a*c^7)^(1/2))/(4*c^6) - (A*B*a)/(2*c^3) - (B^2*a*(-a*c^7)^(1/2))/(4*c^7))^(1/2)*32i)/((16*B^3*a^4)/c^2 + (16*A^3*a^2*(-a*c^7)^(1/2))/c^4 - (16*A^2*B*a^3)/c - (16*A*B^2*a^3*(-a*c^7)^(1/2))/c^5) - (A^2*a^2*c*x^(1/2)*((A^2*(-a*c^7)^(1/2))/(4*c^6) - (A*B*a)/(2*c^3) - (B^2*a*(-a*c^7)^(1/2))/(4*c^7))^(1/2)*32i)/((16*B^3*a^4)/c^2 + (16*A^3*a^2*(-a*c^7)^(1/2))/c^4 - (16*A^2*B*a^3)/c - (16*A*B^2*a^3*(-a*c^7)^(1/2))/c^5))*(-(B^2*a*(-a*c^7)^(1/2) - A^2*c*(-a*c^7)^(1/2) + 2*A*B*a*c^4)/(4*c^7))^(1/2)*2i - atan((B^2*a^3*x^(1/2)*((B^2*a*(-a*c^7)^(1/2))/(4*c^7) - (A*B*a)/(2*c^3) - (A^2*(-a*c^7)^(1/2))/(4*c^6))^(1/2)*32i)/((16*B^3*a^4)/c^2 - (16*A^3*a^2*(-a*c^7)^(1/2))/c^4 - (16*A^2*B*a^3)/c + (16*A*B^2*a^3*(-a*c^7)^(1/2))/c^5) - (A^2*a^2*c*x^(1/2)*((B^2*a*(-a*c^7)^(1/2))/(4*c^7) - (A*B*a)/(2*c^3) - (A^2*(-a*c^7)^(1/2))/(4*c^6))^(1/2)*32i)/((16*B^3*a^4)/c^2 - (16*A^3*a^2*(-a*c^7)^(1/2))/c^4 - (16*A^2*B*a^3)/c + (16*A*B^2*a^3*(-a*c^7)^(1/2))/c^5))*(-(A^2*c*(-a*c^7)^(1/2) - B^2*a*(-a*c^7)^(1/2) + 2*A*B*a*c^4)/(4*c^7))^(1/2)*2i + (2*B*x^(3/2))/(3*c)","B"
414,1,566,265,1.258014,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + c*x^2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a\,c^2\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,c^2}-\frac{B^2\,\sqrt{-a\,c^5}}{4\,c^5}+\frac{A^2\,\sqrt{-a\,c^5}}{4\,a\,c^4}}}{16\,A\,B^2\,a^2-16\,A^3\,a\,c-\frac{16\,B^3\,a^2\,\sqrt{-a\,c^5}}{c^3}+\frac{16\,A^2\,B\,a\,\sqrt{-a\,c^5}}{c^2}}-\frac{32\,B^2\,a^2\,c\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,c^2}-\frac{B^2\,\sqrt{-a\,c^5}}{4\,c^5}+\frac{A^2\,\sqrt{-a\,c^5}}{4\,a\,c^4}}}{16\,A\,B^2\,a^2-16\,A^3\,a\,c-\frac{16\,B^3\,a^2\,\sqrt{-a\,c^5}}{c^3}+\frac{16\,A^2\,B\,a\,\sqrt{-a\,c^5}}{c^2}}\right)\,\sqrt{\frac{A^2\,c\,\sqrt{-a\,c^5}-B^2\,a\,\sqrt{-a\,c^5}+2\,A\,B\,a\,c^3}{4\,a\,c^5}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a\,c^2\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,c^2}+\frac{B^2\,\sqrt{-a\,c^5}}{4\,c^5}-\frac{A^2\,\sqrt{-a\,c^5}}{4\,a\,c^4}}}{16\,A\,B^2\,a^2-16\,A^3\,a\,c+\frac{16\,B^3\,a^2\,\sqrt{-a\,c^5}}{c^3}-\frac{16\,A^2\,B\,a\,\sqrt{-a\,c^5}}{c^2}}-\frac{32\,B^2\,a^2\,c\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,c^2}+\frac{B^2\,\sqrt{-a\,c^5}}{4\,c^5}-\frac{A^2\,\sqrt{-a\,c^5}}{4\,a\,c^4}}}{16\,A\,B^2\,a^2-16\,A^3\,a\,c+\frac{16\,B^3\,a^2\,\sqrt{-a\,c^5}}{c^3}-\frac{16\,A^2\,B\,a\,\sqrt{-a\,c^5}}{c^2}}\right)\,\sqrt{\frac{B^2\,a\,\sqrt{-a\,c^5}-A^2\,c\,\sqrt{-a\,c^5}+2\,A\,B\,a\,c^3}{4\,a\,c^5}}+\frac{2\,B\,\sqrt{x}}{c}","Not used",1,"2*atanh((32*A^2*a*c^2*x^(1/2)*((A*B)/(2*c^2) - (B^2*(-a*c^5)^(1/2))/(4*c^5) + (A^2*(-a*c^5)^(1/2))/(4*a*c^4))^(1/2))/(16*A*B^2*a^2 - 16*A^3*a*c - (16*B^3*a^2*(-a*c^5)^(1/2))/c^3 + (16*A^2*B*a*(-a*c^5)^(1/2))/c^2) - (32*B^2*a^2*c*x^(1/2)*((A*B)/(2*c^2) - (B^2*(-a*c^5)^(1/2))/(4*c^5) + (A^2*(-a*c^5)^(1/2))/(4*a*c^4))^(1/2))/(16*A*B^2*a^2 - 16*A^3*a*c - (16*B^3*a^2*(-a*c^5)^(1/2))/c^3 + (16*A^2*B*a*(-a*c^5)^(1/2))/c^2))*((A^2*c*(-a*c^5)^(1/2) - B^2*a*(-a*c^5)^(1/2) + 2*A*B*a*c^3)/(4*a*c^5))^(1/2) + 2*atanh((32*A^2*a*c^2*x^(1/2)*((A*B)/(2*c^2) + (B^2*(-a*c^5)^(1/2))/(4*c^5) - (A^2*(-a*c^5)^(1/2))/(4*a*c^4))^(1/2))/(16*A*B^2*a^2 - 16*A^3*a*c + (16*B^3*a^2*(-a*c^5)^(1/2))/c^3 - (16*A^2*B*a*(-a*c^5)^(1/2))/c^2) - (32*B^2*a^2*c*x^(1/2)*((A*B)/(2*c^2) + (B^2*(-a*c^5)^(1/2))/(4*c^5) - (A^2*(-a*c^5)^(1/2))/(4*a*c^4))^(1/2))/(16*A*B^2*a^2 - 16*A^3*a*c + (16*B^3*a^2*(-a*c^5)^(1/2))/c^3 - (16*A^2*B*a*(-a*c^5)^(1/2))/c^2))*((B^2*a*(-a*c^5)^(1/2) - A^2*c*(-a*c^5)^(1/2) + 2*A*B*a*c^3)/(4*a*c^5))^(1/2) + (2*B*x^(1/2))/c","B"
415,1,607,254,1.265130,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + c*x^2)),x)","-2\,\mathrm{atanh}\left(\frac{32\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^3\,c^3}}{4\,a^2\,c^3}-\frac{A^2\,\sqrt{-a^3\,c^3}}{4\,a^3\,c^2}-\frac{A\,B}{2\,a\,c}}}{16\,A^2\,B\,c^2-16\,B^3\,a\,c-\frac{16\,A\,B^2\,\sqrt{-a^3\,c^3}}{a}+\frac{16\,A^3\,c\,\sqrt{-a^3\,c^3}}{a^2}}-\frac{32\,B^2\,a\,c^2\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^3\,c^3}}{4\,a^2\,c^3}-\frac{A^2\,\sqrt{-a^3\,c^3}}{4\,a^3\,c^2}-\frac{A\,B}{2\,a\,c}}}{16\,A^2\,B\,c^2-16\,B^3\,a\,c-\frac{16\,A\,B^2\,\sqrt{-a^3\,c^3}}{a}+\frac{16\,A^3\,c\,\sqrt{-a^3\,c^3}}{a^2}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a^3\,c^3}-B^2\,a\,\sqrt{-a^3\,c^3}+2\,A\,B\,a^2\,c^2}{4\,a^3\,c^3}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^3}}{4\,a^3\,c^2}-\frac{A\,B}{2\,a\,c}-\frac{B^2\,\sqrt{-a^3\,c^3}}{4\,a^2\,c^3}}}{16\,A^2\,B\,c^2-16\,B^3\,a\,c+\frac{16\,A\,B^2\,\sqrt{-a^3\,c^3}}{a}-\frac{16\,A^3\,c\,\sqrt{-a^3\,c^3}}{a^2}}-\frac{32\,B^2\,a\,c^2\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^3}}{4\,a^3\,c^2}-\frac{A\,B}{2\,a\,c}-\frac{B^2\,\sqrt{-a^3\,c^3}}{4\,a^2\,c^3}}}{16\,A^2\,B\,c^2-16\,B^3\,a\,c+\frac{16\,A\,B^2\,\sqrt{-a^3\,c^3}}{a}-\frac{16\,A^3\,c\,\sqrt{-a^3\,c^3}}{a^2}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a^3\,c^3}-A^2\,c\,\sqrt{-a^3\,c^3}+2\,A\,B\,a^2\,c^2}{4\,a^3\,c^3}}","Not used",1,"- 2*atanh((32*A^2*c^3*x^(1/2)*((B^2*(-a^3*c^3)^(1/2))/(4*a^2*c^3) - (A^2*(-a^3*c^3)^(1/2))/(4*a^3*c^2) - (A*B)/(2*a*c))^(1/2))/(16*A^2*B*c^2 - 16*B^3*a*c - (16*A*B^2*(-a^3*c^3)^(1/2))/a + (16*A^3*c*(-a^3*c^3)^(1/2))/a^2) - (32*B^2*a*c^2*x^(1/2)*((B^2*(-a^3*c^3)^(1/2))/(4*a^2*c^3) - (A^2*(-a^3*c^3)^(1/2))/(4*a^3*c^2) - (A*B)/(2*a*c))^(1/2))/(16*A^2*B*c^2 - 16*B^3*a*c - (16*A*B^2*(-a^3*c^3)^(1/2))/a + (16*A^3*c*(-a^3*c^3)^(1/2))/a^2))*(-(A^2*c*(-a^3*c^3)^(1/2) - B^2*a*(-a^3*c^3)^(1/2) + 2*A*B*a^2*c^2)/(4*a^3*c^3))^(1/2) - 2*atanh((32*A^2*c^3*x^(1/2)*((A^2*(-a^3*c^3)^(1/2))/(4*a^3*c^2) - (A*B)/(2*a*c) - (B^2*(-a^3*c^3)^(1/2))/(4*a^2*c^3))^(1/2))/(16*A^2*B*c^2 - 16*B^3*a*c + (16*A*B^2*(-a^3*c^3)^(1/2))/a - (16*A^3*c*(-a^3*c^3)^(1/2))/a^2) - (32*B^2*a*c^2*x^(1/2)*((A^2*(-a^3*c^3)^(1/2))/(4*a^3*c^2) - (A*B)/(2*a*c) - (B^2*(-a^3*c^3)^(1/2))/(4*a^2*c^3))^(1/2))/(16*A^2*B*c^2 - 16*B^3*a*c + (16*A*B^2*(-a^3*c^3)^(1/2))/a - (16*A^3*c*(-a^3*c^3)^(1/2))/a^2))*(-(B^2*a*(-a^3*c^3)^(1/2) - A^2*c*(-a^3*c^3)^(1/2) + 2*A*B*a^2*c^2)/(4*a^3*c^3))^(1/2)","B"
416,1,602,265,0.235159,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + c*x^2)),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,c^4\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,a^2}-\frac{A^2\,\sqrt{-a^5\,c}}{4\,a^5}+\frac{B^2\,\sqrt{-a^5\,c}}{4\,a^4\,c}}}{16\,A^3\,a^3\,c^4-16\,B^3\,a^2\,c^2\,\sqrt{-a^5\,c}-16\,A\,B^2\,a^4\,c^3+16\,A^2\,B\,a\,c^3\,\sqrt{-a^5\,c}}-\frac{32\,B^2\,a^5\,c^3\,\sqrt{x}\,\sqrt{\frac{A\,B}{2\,a^2}-\frac{A^2\,\sqrt{-a^5\,c}}{4\,a^5}+\frac{B^2\,\sqrt{-a^5\,c}}{4\,a^4\,c}}}{16\,A^3\,a^3\,c^4-16\,B^3\,a^2\,c^2\,\sqrt{-a^5\,c}-16\,A\,B^2\,a^4\,c^3+16\,A^2\,B\,a\,c^3\,\sqrt{-a^5\,c}}\right)\,\sqrt{\frac{B^2\,a\,\sqrt{-a^5\,c}-A^2\,c\,\sqrt{-a^5\,c}+2\,A\,B\,a^3\,c}{4\,a^5\,c}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,c^4\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^5\,c}}{4\,a^5}+\frac{A\,B}{2\,a^2}-\frac{B^2\,\sqrt{-a^5\,c}}{4\,a^4\,c}}}{16\,A^3\,a^3\,c^4+16\,B^3\,a^2\,c^2\,\sqrt{-a^5\,c}-16\,A\,B^2\,a^4\,c^3-16\,A^2\,B\,a\,c^3\,\sqrt{-a^5\,c}}-\frac{32\,B^2\,a^5\,c^3\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^5\,c}}{4\,a^5}+\frac{A\,B}{2\,a^2}-\frac{B^2\,\sqrt{-a^5\,c}}{4\,a^4\,c}}}{16\,A^3\,a^3\,c^4+16\,B^3\,a^2\,c^2\,\sqrt{-a^5\,c}-16\,A\,B^2\,a^4\,c^3-16\,A^2\,B\,a\,c^3\,\sqrt{-a^5\,c}}\right)\,\sqrt{\frac{A^2\,c\,\sqrt{-a^5\,c}-B^2\,a\,\sqrt{-a^5\,c}+2\,A\,B\,a^3\,c}{4\,a^5\,c}}-\frac{2\,A}{a\,\sqrt{x}}","Not used",1,"2*atanh((32*A^2*a^4*c^4*x^(1/2)*((A*B)/(2*a^2) - (A^2*(-a^5*c)^(1/2))/(4*a^5) + (B^2*(-a^5*c)^(1/2))/(4*a^4*c))^(1/2))/(16*A^3*a^3*c^4 - 16*B^3*a^2*c^2*(-a^5*c)^(1/2) - 16*A*B^2*a^4*c^3 + 16*A^2*B*a*c^3*(-a^5*c)^(1/2)) - (32*B^2*a^5*c^3*x^(1/2)*((A*B)/(2*a^2) - (A^2*(-a^5*c)^(1/2))/(4*a^5) + (B^2*(-a^5*c)^(1/2))/(4*a^4*c))^(1/2))/(16*A^3*a^3*c^4 - 16*B^3*a^2*c^2*(-a^5*c)^(1/2) - 16*A*B^2*a^4*c^3 + 16*A^2*B*a*c^3*(-a^5*c)^(1/2)))*((B^2*a*(-a^5*c)^(1/2) - A^2*c*(-a^5*c)^(1/2) + 2*A*B*a^3*c)/(4*a^5*c))^(1/2) + 2*atanh((32*A^2*a^4*c^4*x^(1/2)*((A^2*(-a^5*c)^(1/2))/(4*a^5) + (A*B)/(2*a^2) - (B^2*(-a^5*c)^(1/2))/(4*a^4*c))^(1/2))/(16*A^3*a^3*c^4 + 16*B^3*a^2*c^2*(-a^5*c)^(1/2) - 16*A*B^2*a^4*c^3 - 16*A^2*B*a*c^3*(-a^5*c)^(1/2)) - (32*B^2*a^5*c^3*x^(1/2)*((A^2*(-a^5*c)^(1/2))/(4*a^5) + (A*B)/(2*a^2) - (B^2*(-a^5*c)^(1/2))/(4*a^4*c))^(1/2))/(16*A^3*a^3*c^4 + 16*B^3*a^2*c^2*(-a^5*c)^(1/2) - 16*A*B^2*a^4*c^3 - 16*A^2*B*a*c^3*(-a^5*c)^(1/2)))*((A^2*c*(-a^5*c)^(1/2) - B^2*a*(-a^5*c)^(1/2) + 2*A*B*a^3*c)/(4*a^5*c))^(1/2) - (2*A)/(a*x^(1/2))","B"
417,1,606,278,1.253706,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + c*x^2)),x)","-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^3\,c^5\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^7\,c}}{4\,a^7}-\frac{B^2\,\sqrt{-a^7\,c}}{4\,a^6}-\frac{A\,B\,c}{2\,a^3}}}{16\,B^3\,a^3\,c^4+\frac{16\,A^3\,c^5\,\sqrt{-a^7\,c}}{a^2}-16\,A^2\,B\,a^2\,c^5-\frac{16\,A\,B^2\,c^4\,\sqrt{-a^7\,c}}{a}}-\frac{32\,B^2\,a^4\,c^4\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^7\,c}}{4\,a^7}-\frac{B^2\,\sqrt{-a^7\,c}}{4\,a^6}-\frac{A\,B\,c}{2\,a^3}}}{16\,B^3\,a^3\,c^4+\frac{16\,A^3\,c^5\,\sqrt{-a^7\,c}}{a^2}-16\,A^2\,B\,a^2\,c^5-\frac{16\,A\,B^2\,c^4\,\sqrt{-a^7\,c}}{a}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a^7\,c}-A^2\,c\,\sqrt{-a^7\,c}+2\,A\,B\,a^4\,c}{4\,a^7}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^3\,c^5\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^7\,c}}{4\,a^6}-\frac{A^2\,c\,\sqrt{-a^7\,c}}{4\,a^7}-\frac{A\,B\,c}{2\,a^3}}}{16\,B^3\,a^3\,c^4-\frac{16\,A^3\,c^5\,\sqrt{-a^7\,c}}{a^2}-16\,A^2\,B\,a^2\,c^5+\frac{16\,A\,B^2\,c^4\,\sqrt{-a^7\,c}}{a}}-\frac{32\,B^2\,a^4\,c^4\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^7\,c}}{4\,a^6}-\frac{A^2\,c\,\sqrt{-a^7\,c}}{4\,a^7}-\frac{A\,B\,c}{2\,a^3}}}{16\,B^3\,a^3\,c^4-\frac{16\,A^3\,c^5\,\sqrt{-a^7\,c}}{a^2}-16\,A^2\,B\,a^2\,c^5+\frac{16\,A\,B^2\,c^4\,\sqrt{-a^7\,c}}{a}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a^7\,c}-B^2\,a\,\sqrt{-a^7\,c}+2\,A\,B\,a^4\,c}{4\,a^7}}-\frac{\frac{2\,A}{3\,a}+\frac{2\,B\,x}{a}}{x^{3/2}}","Not used",1,"- 2*atanh((32*A^2*a^3*c^5*x^(1/2)*((A^2*c*(-a^7*c)^(1/2))/(4*a^7) - (B^2*(-a^7*c)^(1/2))/(4*a^6) - (A*B*c)/(2*a^3))^(1/2))/(16*B^3*a^3*c^4 + (16*A^3*c^5*(-a^7*c)^(1/2))/a^2 - 16*A^2*B*a^2*c^5 - (16*A*B^2*c^4*(-a^7*c)^(1/2))/a) - (32*B^2*a^4*c^4*x^(1/2)*((A^2*c*(-a^7*c)^(1/2))/(4*a^7) - (B^2*(-a^7*c)^(1/2))/(4*a^6) - (A*B*c)/(2*a^3))^(1/2))/(16*B^3*a^3*c^4 + (16*A^3*c^5*(-a^7*c)^(1/2))/a^2 - 16*A^2*B*a^2*c^5 - (16*A*B^2*c^4*(-a^7*c)^(1/2))/a))*(-(B^2*a*(-a^7*c)^(1/2) - A^2*c*(-a^7*c)^(1/2) + 2*A*B*a^4*c)/(4*a^7))^(1/2) - 2*atanh((32*A^2*a^3*c^5*x^(1/2)*((B^2*(-a^7*c)^(1/2))/(4*a^6) - (A^2*c*(-a^7*c)^(1/2))/(4*a^7) - (A*B*c)/(2*a^3))^(1/2))/(16*B^3*a^3*c^4 - (16*A^3*c^5*(-a^7*c)^(1/2))/a^2 - 16*A^2*B*a^2*c^5 + (16*A*B^2*c^4*(-a^7*c)^(1/2))/a) - (32*B^2*a^4*c^4*x^(1/2)*((B^2*(-a^7*c)^(1/2))/(4*a^6) - (A^2*c*(-a^7*c)^(1/2))/(4*a^7) - (A*B*c)/(2*a^3))^(1/2))/(16*B^3*a^3*c^4 - (16*A^3*c^5*(-a^7*c)^(1/2))/a^2 - 16*A^2*B*a^2*c^5 + (16*A*B^2*c^4*(-a^7*c)^(1/2))/a))*(-(A^2*c*(-a^7*c)^(1/2) - B^2*a*(-a^7*c)^(1/2) + 2*A*B*a^4*c)/(4*a^7))^(1/2) - ((2*A)/(3*a) + (2*B*x)/a)/x^(3/2)","B"
418,1,664,292,1.247405,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + c*x^2)),x)","-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^7\,c^6\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^9\,c^3}}{4\,a^9}-\frac{B^2\,\sqrt{-a^9\,c^3}}{4\,a^8}+\frac{A\,B\,c^2}{2\,a^4}}}{16\,A^3\,a^5\,c^7-16\,A\,B^2\,a^6\,c^6+16\,B^3\,a^2\,c^4\,\sqrt{-a^9\,c^3}-16\,A^2\,B\,a\,c^5\,\sqrt{-a^9\,c^3}}-\frac{32\,B^2\,a^8\,c^5\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^9\,c^3}}{4\,a^9}-\frac{B^2\,\sqrt{-a^9\,c^3}}{4\,a^8}+\frac{A\,B\,c^2}{2\,a^4}}}{16\,A^3\,a^5\,c^7-16\,A\,B^2\,a^6\,c^6+16\,B^3\,a^2\,c^4\,\sqrt{-a^9\,c^3}-16\,A^2\,B\,a\,c^5\,\sqrt{-a^9\,c^3}}\right)\,\sqrt{\frac{A^2\,c\,\sqrt{-a^9\,c^3}-B^2\,a\,\sqrt{-a^9\,c^3}+2\,A\,B\,a^5\,c^2}{4\,a^9}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^7\,c^6\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^9\,c^3}}{4\,a^8}-\frac{A^2\,c\,\sqrt{-a^9\,c^3}}{4\,a^9}+\frac{A\,B\,c^2}{2\,a^4}}}{16\,A^3\,a^5\,c^7-16\,A\,B^2\,a^6\,c^6-16\,B^3\,a^2\,c^4\,\sqrt{-a^9\,c^3}+16\,A^2\,B\,a\,c^5\,\sqrt{-a^9\,c^3}}-\frac{32\,B^2\,a^8\,c^5\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^9\,c^3}}{4\,a^8}-\frac{A^2\,c\,\sqrt{-a^9\,c^3}}{4\,a^9}+\frac{A\,B\,c^2}{2\,a^4}}}{16\,A^3\,a^5\,c^7-16\,A\,B^2\,a^6\,c^6-16\,B^3\,a^2\,c^4\,\sqrt{-a^9\,c^3}+16\,A^2\,B\,a\,c^5\,\sqrt{-a^9\,c^3}}\right)\,\sqrt{\frac{B^2\,a\,\sqrt{-a^9\,c^3}-A^2\,c\,\sqrt{-a^9\,c^3}+2\,A\,B\,a^5\,c^2}{4\,a^9}}-\frac{\frac{2\,A}{5\,a}+\frac{2\,B\,x}{3\,a}-\frac{2\,A\,c\,x^2}{a^2}}{x^{5/2}}","Not used",1,"- 2*atanh((32*A^2*a^7*c^6*x^(1/2)*((A^2*c*(-a^9*c^3)^(1/2))/(4*a^9) - (B^2*(-a^9*c^3)^(1/2))/(4*a^8) + (A*B*c^2)/(2*a^4))^(1/2))/(16*A^3*a^5*c^7 - 16*A*B^2*a^6*c^6 + 16*B^3*a^2*c^4*(-a^9*c^3)^(1/2) - 16*A^2*B*a*c^5*(-a^9*c^3)^(1/2)) - (32*B^2*a^8*c^5*x^(1/2)*((A^2*c*(-a^9*c^3)^(1/2))/(4*a^9) - (B^2*(-a^9*c^3)^(1/2))/(4*a^8) + (A*B*c^2)/(2*a^4))^(1/2))/(16*A^3*a^5*c^7 - 16*A*B^2*a^6*c^6 + 16*B^3*a^2*c^4*(-a^9*c^3)^(1/2) - 16*A^2*B*a*c^5*(-a^9*c^3)^(1/2)))*((A^2*c*(-a^9*c^3)^(1/2) - B^2*a*(-a^9*c^3)^(1/2) + 2*A*B*a^5*c^2)/(4*a^9))^(1/2) - 2*atanh((32*A^2*a^7*c^6*x^(1/2)*((B^2*(-a^9*c^3)^(1/2))/(4*a^8) - (A^2*c*(-a^9*c^3)^(1/2))/(4*a^9) + (A*B*c^2)/(2*a^4))^(1/2))/(16*A^3*a^5*c^7 - 16*A*B^2*a^6*c^6 - 16*B^3*a^2*c^4*(-a^9*c^3)^(1/2) + 16*A^2*B*a*c^5*(-a^9*c^3)^(1/2)) - (32*B^2*a^8*c^5*x^(1/2)*((B^2*(-a^9*c^3)^(1/2))/(4*a^8) - (A^2*c*(-a^9*c^3)^(1/2))/(4*a^9) + (A*B*c^2)/(2*a^4))^(1/2))/(16*A^3*a^5*c^7 - 16*A*B^2*a^6*c^6 - 16*B^3*a^2*c^4*(-a^9*c^3)^(1/2) + 16*A^2*B*a*c^5*(-a^9*c^3)^(1/2)))*((B^2*a*(-a^9*c^3)^(1/2) - A^2*c*(-a^9*c^3)^(1/2) + 2*A*B*a^5*c^2)/(4*a^9))^(1/2) - ((2*A)/(5*a) + (2*B*x)/(3*a) - (2*A*c*x^2)/a^2)/x^(5/2)","B"
419,1,678,306,1.266277,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + c*x^2)),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,c^7\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^{11}\,c^5}}{4\,a^{11}}-\frac{B^2\,\sqrt{-a^{11}\,c^5}}{4\,a^{10}}-\frac{A\,B\,c^3}{2\,a^5}}}{16\,B^3\,a^5\,c^7+\frac{16\,A^3\,c^6\,\sqrt{-a^{11}\,c^5}}{a^2}-16\,A^2\,B\,a^4\,c^8-\frac{16\,A\,B^2\,c^5\,\sqrt{-a^{11}\,c^5}}{a}}-\frac{32\,B^2\,a^7\,c^6\,\sqrt{x}\,\sqrt{\frac{A^2\,c\,\sqrt{-a^{11}\,c^5}}{4\,a^{11}}-\frac{B^2\,\sqrt{-a^{11}\,c^5}}{4\,a^{10}}-\frac{A\,B\,c^3}{2\,a^5}}}{16\,B^3\,a^5\,c^7+\frac{16\,A^3\,c^6\,\sqrt{-a^{11}\,c^5}}{a^2}-16\,A^2\,B\,a^4\,c^8-\frac{16\,A\,B^2\,c^5\,\sqrt{-a^{11}\,c^5}}{a}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a^{11}\,c^5}-A^2\,c\,\sqrt{-a^{11}\,c^5}+2\,A\,B\,a^6\,c^3}{4\,a^{11}}}-\frac{\frac{2\,A}{7\,a}+\frac{2\,B\,x}{5\,a}-\frac{2\,A\,c\,x^2}{3\,a^2}-\frac{2\,B\,c\,x^3}{a^2}}{x^{7/2}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,c^7\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^{11}\,c^5}}{4\,a^{10}}-\frac{A^2\,c\,\sqrt{-a^{11}\,c^5}}{4\,a^{11}}-\frac{A\,B\,c^3}{2\,a^5}}}{16\,B^3\,a^5\,c^7-\frac{16\,A^3\,c^6\,\sqrt{-a^{11}\,c^5}}{a^2}-16\,A^2\,B\,a^4\,c^8+\frac{16\,A\,B^2\,c^5\,\sqrt{-a^{11}\,c^5}}{a}}-\frac{32\,B^2\,a^7\,c^6\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^{11}\,c^5}}{4\,a^{10}}-\frac{A^2\,c\,\sqrt{-a^{11}\,c^5}}{4\,a^{11}}-\frac{A\,B\,c^3}{2\,a^5}}}{16\,B^3\,a^5\,c^7-\frac{16\,A^3\,c^6\,\sqrt{-a^{11}\,c^5}}{a^2}-16\,A^2\,B\,a^4\,c^8+\frac{16\,A\,B^2\,c^5\,\sqrt{-a^{11}\,c^5}}{a}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a^{11}\,c^5}-B^2\,a\,\sqrt{-a^{11}\,c^5}+2\,A\,B\,a^6\,c^3}{4\,a^{11}}}","Not used",1,"2*atanh((32*A^2*a^6*c^7*x^(1/2)*((A^2*c*(-a^11*c^5)^(1/2))/(4*a^11) - (B^2*(-a^11*c^5)^(1/2))/(4*a^10) - (A*B*c^3)/(2*a^5))^(1/2))/(16*B^3*a^5*c^7 + (16*A^3*c^6*(-a^11*c^5)^(1/2))/a^2 - 16*A^2*B*a^4*c^8 - (16*A*B^2*c^5*(-a^11*c^5)^(1/2))/a) - (32*B^2*a^7*c^6*x^(1/2)*((A^2*c*(-a^11*c^5)^(1/2))/(4*a^11) - (B^2*(-a^11*c^5)^(1/2))/(4*a^10) - (A*B*c^3)/(2*a^5))^(1/2))/(16*B^3*a^5*c^7 + (16*A^3*c^6*(-a^11*c^5)^(1/2))/a^2 - 16*A^2*B*a^4*c^8 - (16*A*B^2*c^5*(-a^11*c^5)^(1/2))/a))*(-(B^2*a*(-a^11*c^5)^(1/2) - A^2*c*(-a^11*c^5)^(1/2) + 2*A*B*a^6*c^3)/(4*a^11))^(1/2) - ((2*A)/(7*a) + (2*B*x)/(5*a) - (2*A*c*x^2)/(3*a^2) - (2*B*c*x^3)/a^2)/x^(7/2) + 2*atanh((32*A^2*a^6*c^7*x^(1/2)*((B^2*(-a^11*c^5)^(1/2))/(4*a^10) - (A^2*c*(-a^11*c^5)^(1/2))/(4*a^11) - (A*B*c^3)/(2*a^5))^(1/2))/(16*B^3*a^5*c^7 - (16*A^3*c^6*(-a^11*c^5)^(1/2))/a^2 - 16*A^2*B*a^4*c^8 + (16*A*B^2*c^5*(-a^11*c^5)^(1/2))/a) - (32*B^2*a^7*c^6*x^(1/2)*((B^2*(-a^11*c^5)^(1/2))/(4*a^10) - (A^2*c*(-a^11*c^5)^(1/2))/(4*a^11) - (A*B*c^3)/(2*a^5))^(1/2))/(16*B^3*a^5*c^7 - (16*A^3*c^6*(-a^11*c^5)^(1/2))/a^2 - 16*A^2*B*a^4*c^8 + (16*A*B^2*c^5*(-a^11*c^5)^(1/2))/a))*(-(A^2*c*(-a^11*c^5)^(1/2) - B^2*a*(-a^11*c^5)^(1/2) + 2*A*B*a^6*c^3)/(4*a^11))^(1/2)","B"
420,1,617,304,1.274994,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + c*x^2)^2,x)","\frac{\frac{B\,a\,\sqrt{x}}{2}-\frac{A\,c\,x^{3/2}}{2}}{c^3\,x^2+a\,c^2}+\frac{2\,B\,\sqrt{x}}{c^2}-\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,c^4}-\frac{25\,B^2\,\sqrt{-a\,c^9}}{64\,c^9}+\frac{9\,A^2\,\sqrt{-a\,c^9}}{64\,a\,c^8}}\,50{}\mathrm{i}}{\frac{27\,A^3\,a}{4\,c}+\frac{125\,B^3\,a^2\,\sqrt{-a\,c^9}}{4\,c^7}-\frac{75\,A\,B^2\,a^2}{4\,c^2}-\frac{45\,A^2\,B\,a\,\sqrt{-a\,c^9}}{4\,c^6}}-\frac{A^2\,a\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,c^4}-\frac{25\,B^2\,\sqrt{-a\,c^9}}{64\,c^9}+\frac{9\,A^2\,\sqrt{-a\,c^9}}{64\,a\,c^8}}\,18{}\mathrm{i}}{\frac{27\,A^3\,a}{4\,c^2}+\frac{125\,B^3\,a^2\,\sqrt{-a\,c^9}}{4\,c^8}-\frac{75\,A\,B^2\,a^2}{4\,c^3}-\frac{45\,A^2\,B\,a\,\sqrt{-a\,c^9}}{4\,c^7}}\right)\,\sqrt{\frac{9\,A^2\,c\,\sqrt{-a\,c^9}-25\,B^2\,a\,\sqrt{-a\,c^9}+30\,A\,B\,a\,c^5}{64\,a\,c^9}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,c^4}+\frac{25\,B^2\,\sqrt{-a\,c^9}}{64\,c^9}-\frac{9\,A^2\,\sqrt{-a\,c^9}}{64\,a\,c^8}}\,50{}\mathrm{i}}{\frac{27\,A^3\,a}{4\,c}-\frac{125\,B^3\,a^2\,\sqrt{-a\,c^9}}{4\,c^7}-\frac{75\,A\,B^2\,a^2}{4\,c^2}+\frac{45\,A^2\,B\,a\,\sqrt{-a\,c^9}}{4\,c^6}}-\frac{A^2\,a\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,c^4}+\frac{25\,B^2\,\sqrt{-a\,c^9}}{64\,c^9}-\frac{9\,A^2\,\sqrt{-a\,c^9}}{64\,a\,c^8}}\,18{}\mathrm{i}}{\frac{27\,A^3\,a}{4\,c^2}-\frac{125\,B^3\,a^2\,\sqrt{-a\,c^9}}{4\,c^8}-\frac{75\,A\,B^2\,a^2}{4\,c^3}+\frac{45\,A^2\,B\,a\,\sqrt{-a\,c^9}}{4\,c^7}}\right)\,\sqrt{\frac{25\,B^2\,a\,\sqrt{-a\,c^9}-9\,A^2\,c\,\sqrt{-a\,c^9}+30\,A\,B\,a\,c^5}{64\,a\,c^9}}\,2{}\mathrm{i}","Not used",1,"((B*a*x^(1/2))/2 - (A*c*x^(3/2))/2)/(a*c^2 + c^3*x^2) - atan((B^2*a^2*x^(1/2)*((15*A*B)/(32*c^4) + (25*B^2*(-a*c^9)^(1/2))/(64*c^9) - (9*A^2*(-a*c^9)^(1/2))/(64*a*c^8))^(1/2)*50i)/((27*A^3*a)/(4*c) - (125*B^3*a^2*(-a*c^9)^(1/2))/(4*c^7) - (75*A*B^2*a^2)/(4*c^2) + (45*A^2*B*a*(-a*c^9)^(1/2))/(4*c^6)) - (A^2*a*x^(1/2)*((15*A*B)/(32*c^4) + (25*B^2*(-a*c^9)^(1/2))/(64*c^9) - (9*A^2*(-a*c^9)^(1/2))/(64*a*c^8))^(1/2)*18i)/((27*A^3*a)/(4*c^2) - (125*B^3*a^2*(-a*c^9)^(1/2))/(4*c^8) - (75*A*B^2*a^2)/(4*c^3) + (45*A^2*B*a*(-a*c^9)^(1/2))/(4*c^7)))*((25*B^2*a*(-a*c^9)^(1/2) - 9*A^2*c*(-a*c^9)^(1/2) + 30*A*B*a*c^5)/(64*a*c^9))^(1/2)*2i - atan((B^2*a^2*x^(1/2)*((15*A*B)/(32*c^4) - (25*B^2*(-a*c^9)^(1/2))/(64*c^9) + (9*A^2*(-a*c^9)^(1/2))/(64*a*c^8))^(1/2)*50i)/((27*A^3*a)/(4*c) + (125*B^3*a^2*(-a*c^9)^(1/2))/(4*c^7) - (75*A*B^2*a^2)/(4*c^2) - (45*A^2*B*a*(-a*c^9)^(1/2))/(4*c^6)) - (A^2*a*x^(1/2)*((15*A*B)/(32*c^4) - (25*B^2*(-a*c^9)^(1/2))/(64*c^9) + (9*A^2*(-a*c^9)^(1/2))/(64*a*c^8))^(1/2)*18i)/((27*A^3*a)/(4*c^2) + (125*B^3*a^2*(-a*c^9)^(1/2))/(4*c^8) - (75*A*B^2*a^2)/(4*c^3) - (45*A^2*B*a*(-a*c^9)^(1/2))/(4*c^7)))*((9*A^2*c*(-a*c^9)^(1/2) - 25*B^2*a*(-a*c^9)^(1/2) + 30*A*B*a*c^5)/(64*a*c^9))^(1/2)*2i + (2*B*x^(1/2))/c^2","B"
421,1,656,289,1.285795,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + c*x^2)^2,x)","2\,\mathrm{atanh}\left(\frac{18\,B^2\,a\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^3\,c^7}}{64\,a^2\,c^7}-\frac{A^2\,\sqrt{-a^3\,c^7}}{64\,a^3\,c^6}-\frac{3\,A\,B}{32\,a\,c^3}}}{\frac{3\,A^2\,B}{4\,c}-\frac{27\,B^3\,a}{4\,c^2}+\frac{A^3\,\sqrt{-a^3\,c^7}}{4\,a^2\,c^4}-\frac{9\,A\,B^2\,\sqrt{-a^3\,c^7}}{4\,a\,c^5}}-\frac{2\,A^2\,c\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^3\,c^7}}{64\,a^2\,c^7}-\frac{A^2\,\sqrt{-a^3\,c^7}}{64\,a^3\,c^6}-\frac{3\,A\,B}{32\,a\,c^3}}}{\frac{3\,A^2\,B}{4\,c}-\frac{27\,B^3\,a}{4\,c^2}+\frac{A^3\,\sqrt{-a^3\,c^7}}{4\,a^2\,c^4}-\frac{9\,A\,B^2\,\sqrt{-a^3\,c^7}}{4\,a\,c^5}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a^3\,c^7}-9\,B^2\,a\,\sqrt{-a^3\,c^7}+6\,A\,B\,a^2\,c^4}{64\,a^3\,c^7}}+2\,\mathrm{atanh}\left(\frac{18\,B^2\,a\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^7}}{64\,a^3\,c^6}-\frac{3\,A\,B}{32\,a\,c^3}-\frac{9\,B^2\,\sqrt{-a^3\,c^7}}{64\,a^2\,c^7}}}{\frac{3\,A^2\,B}{4\,c}-\frac{27\,B^3\,a}{4\,c^2}-\frac{A^3\,\sqrt{-a^3\,c^7}}{4\,a^2\,c^4}+\frac{9\,A\,B^2\,\sqrt{-a^3\,c^7}}{4\,a\,c^5}}-\frac{2\,A^2\,c\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^3\,c^7}}{64\,a^3\,c^6}-\frac{3\,A\,B}{32\,a\,c^3}-\frac{9\,B^2\,\sqrt{-a^3\,c^7}}{64\,a^2\,c^7}}}{\frac{3\,A^2\,B}{4\,c}-\frac{27\,B^3\,a}{4\,c^2}-\frac{A^3\,\sqrt{-a^3\,c^7}}{4\,a^2\,c^4}+\frac{9\,A\,B^2\,\sqrt{-a^3\,c^7}}{4\,a\,c^5}}\right)\,\sqrt{-\frac{9\,B^2\,a\,\sqrt{-a^3\,c^7}-A^2\,c\,\sqrt{-a^3\,c^7}+6\,A\,B\,a^2\,c^4}{64\,a^3\,c^7}}-\frac{\frac{A\,\sqrt{x}}{2\,c}+\frac{B\,x^{3/2}}{2\,c}}{c\,x^2+a}","Not used",1,"2*atanh((18*B^2*a*x^(1/2)*((9*B^2*(-a^3*c^7)^(1/2))/(64*a^2*c^7) - (A^2*(-a^3*c^7)^(1/2))/(64*a^3*c^6) - (3*A*B)/(32*a*c^3))^(1/2))/((3*A^2*B)/(4*c) - (27*B^3*a)/(4*c^2) + (A^3*(-a^3*c^7)^(1/2))/(4*a^2*c^4) - (9*A*B^2*(-a^3*c^7)^(1/2))/(4*a*c^5)) - (2*A^2*c*x^(1/2)*((9*B^2*(-a^3*c^7)^(1/2))/(64*a^2*c^7) - (A^2*(-a^3*c^7)^(1/2))/(64*a^3*c^6) - (3*A*B)/(32*a*c^3))^(1/2))/((3*A^2*B)/(4*c) - (27*B^3*a)/(4*c^2) + (A^3*(-a^3*c^7)^(1/2))/(4*a^2*c^4) - (9*A*B^2*(-a^3*c^7)^(1/2))/(4*a*c^5)))*(-(A^2*c*(-a^3*c^7)^(1/2) - 9*B^2*a*(-a^3*c^7)^(1/2) + 6*A*B*a^2*c^4)/(64*a^3*c^7))^(1/2) + 2*atanh((18*B^2*a*x^(1/2)*((A^2*(-a^3*c^7)^(1/2))/(64*a^3*c^6) - (3*A*B)/(32*a*c^3) - (9*B^2*(-a^3*c^7)^(1/2))/(64*a^2*c^7))^(1/2))/((3*A^2*B)/(4*c) - (27*B^3*a)/(4*c^2) - (A^3*(-a^3*c^7)^(1/2))/(4*a^2*c^4) + (9*A*B^2*(-a^3*c^7)^(1/2))/(4*a*c^5)) - (2*A^2*c*x^(1/2)*((A^2*(-a^3*c^7)^(1/2))/(64*a^3*c^6) - (3*A*B)/(32*a*c^3) - (9*B^2*(-a^3*c^7)^(1/2))/(64*a^2*c^7))^(1/2))/((3*A^2*B)/(4*c) - (27*B^3*a)/(4*c^2) - (A^3*(-a^3*c^7)^(1/2))/(4*a^2*c^4) + (9*A*B^2*(-a^3*c^7)^(1/2))/(4*a*c^5)))*(-(9*B^2*a*(-a^3*c^7)^(1/2) - A^2*c*(-a^3*c^7)^(1/2) + 6*A*B*a^2*c^4)/(64*a^3*c^7))^(1/2) - ((A*x^(1/2))/(2*c) + (B*x^(3/2))/(2*c))/(a + c*x^2)","B"
422,1,652,292,1.276983,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + c*x^2)^2,x)","2\,\mathrm{atanh}\left(\frac{2\,A^2\,c^2\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^5\,c^5}}{64\,a^4\,c^5}-\frac{A^2\,\sqrt{-a^5\,c^5}}{64\,a^5\,c^4}-\frac{A\,B}{32\,a^2\,c^2}}}{\frac{A\,B^2}{4}-\frac{A^3\,c}{4\,a}-\frac{B^3\,\sqrt{-a^5\,c^5}}{4\,a^2\,c^3}+\frac{A^2\,B\,\sqrt{-a^5\,c^5}}{4\,a^3\,c^2}}-\frac{2\,B^2\,c\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^5\,c^5}}{64\,a^4\,c^5}-\frac{A^2\,\sqrt{-a^5\,c^5}}{64\,a^5\,c^4}-\frac{A\,B}{32\,a^2\,c^2}}}{\frac{A\,B^2}{4\,a}-\frac{A^3\,c}{4\,a^2}-\frac{B^3\,\sqrt{-a^5\,c^5}}{4\,a^3\,c^3}+\frac{A^2\,B\,\sqrt{-a^5\,c^5}}{4\,a^4\,c^2}}\right)\,\sqrt{-\frac{A^2\,c\,\sqrt{-a^5\,c^5}-B^2\,a\,\sqrt{-a^5\,c^5}+2\,A\,B\,a^3\,c^3}{64\,a^5\,c^5}}+2\,\mathrm{atanh}\left(\frac{2\,A^2\,c^2\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^5\,c^5}}{64\,a^5\,c^4}-\frac{A\,B}{32\,a^2\,c^2}-\frac{B^2\,\sqrt{-a^5\,c^5}}{64\,a^4\,c^5}}}{\frac{A\,B^2}{4}-\frac{A^3\,c}{4\,a}+\frac{B^3\,\sqrt{-a^5\,c^5}}{4\,a^2\,c^3}-\frac{A^2\,B\,\sqrt{-a^5\,c^5}}{4\,a^3\,c^2}}-\frac{2\,B^2\,c\,\sqrt{x}\,\sqrt{\frac{A^2\,\sqrt{-a^5\,c^5}}{64\,a^5\,c^4}-\frac{A\,B}{32\,a^2\,c^2}-\frac{B^2\,\sqrt{-a^5\,c^5}}{64\,a^4\,c^5}}}{\frac{A\,B^2}{4\,a}-\frac{A^3\,c}{4\,a^2}+\frac{B^3\,\sqrt{-a^5\,c^5}}{4\,a^3\,c^3}-\frac{A^2\,B\,\sqrt{-a^5\,c^5}}{4\,a^4\,c^2}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a^5\,c^5}-A^2\,c\,\sqrt{-a^5\,c^5}+2\,A\,B\,a^3\,c^3}{64\,a^5\,c^5}}+\frac{\frac{A\,x^{3/2}}{2\,a}-\frac{B\,\sqrt{x}}{2\,c}}{c\,x^2+a}","Not used",1,"2*atanh((2*A^2*c^2*x^(1/2)*((B^2*(-a^5*c^5)^(1/2))/(64*a^4*c^5) - (A^2*(-a^5*c^5)^(1/2))/(64*a^5*c^4) - (A*B)/(32*a^2*c^2))^(1/2))/((A*B^2)/4 - (A^3*c)/(4*a) - (B^3*(-a^5*c^5)^(1/2))/(4*a^2*c^3) + (A^2*B*(-a^5*c^5)^(1/2))/(4*a^3*c^2)) - (2*B^2*c*x^(1/2)*((B^2*(-a^5*c^5)^(1/2))/(64*a^4*c^5) - (A^2*(-a^5*c^5)^(1/2))/(64*a^5*c^4) - (A*B)/(32*a^2*c^2))^(1/2))/((A*B^2)/(4*a) - (A^3*c)/(4*a^2) - (B^3*(-a^5*c^5)^(1/2))/(4*a^3*c^3) + (A^2*B*(-a^5*c^5)^(1/2))/(4*a^4*c^2)))*(-(A^2*c*(-a^5*c^5)^(1/2) - B^2*a*(-a^5*c^5)^(1/2) + 2*A*B*a^3*c^3)/(64*a^5*c^5))^(1/2) + 2*atanh((2*A^2*c^2*x^(1/2)*((A^2*(-a^5*c^5)^(1/2))/(64*a^5*c^4) - (A*B)/(32*a^2*c^2) - (B^2*(-a^5*c^5)^(1/2))/(64*a^4*c^5))^(1/2))/((A*B^2)/4 - (A^3*c)/(4*a) + (B^3*(-a^5*c^5)^(1/2))/(4*a^2*c^3) - (A^2*B*(-a^5*c^5)^(1/2))/(4*a^3*c^2)) - (2*B^2*c*x^(1/2)*((A^2*(-a^5*c^5)^(1/2))/(64*a^5*c^4) - (A*B)/(32*a^2*c^2) - (B^2*(-a^5*c^5)^(1/2))/(64*a^4*c^5))^(1/2))/((A*B^2)/(4*a) - (A^3*c)/(4*a^2) + (B^3*(-a^5*c^5)^(1/2))/(4*a^3*c^3) - (A^2*B*(-a^5*c^5)^(1/2))/(4*a^4*c^2)))*(-(B^2*a*(-a^5*c^5)^(1/2) - A^2*c*(-a^5*c^5)^(1/2) + 2*A*B*a^3*c^3)/(64*a^5*c^5))^(1/2) + ((A*x^(3/2))/(2*a) - (B*x^(1/2))/(2*c))/(a + c*x^2)","B"
423,1,649,287,1.277441,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + c*x^2)^2),x)","\frac{\frac{A\,\sqrt{x}}{2\,a}+\frac{B\,x^{3/2}}{2\,a}}{c\,x^2+a}-2\,\mathrm{atanh}\left(\frac{2\,B^2\,c^2\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^7\,c^3}}{64\,a^6\,c^3}-\frac{9\,A^2\,\sqrt{-a^7\,c^3}}{64\,a^7\,c^2}-\frac{3\,A\,B}{32\,a^3\,c}}}{\frac{B^3\,c}{4\,a}+\frac{3\,A\,B^2\,\sqrt{-a^7\,c^3}}{4\,a^5}-\frac{27\,A^3\,c\,\sqrt{-a^7\,c^3}}{4\,a^6}-\frac{9\,A^2\,B\,c^2}{4\,a^2}}-\frac{18\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{B^2\,\sqrt{-a^7\,c^3}}{64\,a^6\,c^3}-\frac{9\,A^2\,\sqrt{-a^7\,c^3}}{64\,a^7\,c^2}-\frac{3\,A\,B}{32\,a^3\,c}}}{\frac{B^3\,c}{4}+\frac{3\,A\,B^2\,\sqrt{-a^7\,c^3}}{4\,a^4}-\frac{27\,A^3\,c\,\sqrt{-a^7\,c^3}}{4\,a^5}-\frac{9\,A^2\,B\,c^2}{4\,a}}\right)\,\sqrt{-\frac{9\,A^2\,c\,\sqrt{-a^7\,c^3}-B^2\,a\,\sqrt{-a^7\,c^3}+6\,A\,B\,a^4\,c^2}{64\,a^7\,c^3}}-2\,\mathrm{atanh}\left(\frac{2\,B^2\,c^2\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^7\,c^3}}{64\,a^7\,c^2}-\frac{3\,A\,B}{32\,a^3\,c}-\frac{B^2\,\sqrt{-a^7\,c^3}}{64\,a^6\,c^3}}}{\frac{B^3\,c}{4\,a}-\frac{3\,A\,B^2\,\sqrt{-a^7\,c^3}}{4\,a^5}+\frac{27\,A^3\,c\,\sqrt{-a^7\,c^3}}{4\,a^6}-\frac{9\,A^2\,B\,c^2}{4\,a^2}}-\frac{18\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^7\,c^3}}{64\,a^7\,c^2}-\frac{3\,A\,B}{32\,a^3\,c}-\frac{B^2\,\sqrt{-a^7\,c^3}}{64\,a^6\,c^3}}}{\frac{B^3\,c}{4}-\frac{3\,A\,B^2\,\sqrt{-a^7\,c^3}}{4\,a^4}+\frac{27\,A^3\,c\,\sqrt{-a^7\,c^3}}{4\,a^5}-\frac{9\,A^2\,B\,c^2}{4\,a}}\right)\,\sqrt{-\frac{B^2\,a\,\sqrt{-a^7\,c^3}-9\,A^2\,c\,\sqrt{-a^7\,c^3}+6\,A\,B\,a^4\,c^2}{64\,a^7\,c^3}}","Not used",1,"((A*x^(1/2))/(2*a) + (B*x^(3/2))/(2*a))/(a + c*x^2) - 2*atanh((2*B^2*c^2*x^(1/2)*((B^2*(-a^7*c^3)^(1/2))/(64*a^6*c^3) - (9*A^2*(-a^7*c^3)^(1/2))/(64*a^7*c^2) - (3*A*B)/(32*a^3*c))^(1/2))/((B^3*c)/(4*a) + (3*A*B^2*(-a^7*c^3)^(1/2))/(4*a^5) - (27*A^3*c*(-a^7*c^3)^(1/2))/(4*a^6) - (9*A^2*B*c^2)/(4*a^2)) - (18*A^2*c^3*x^(1/2)*((B^2*(-a^7*c^3)^(1/2))/(64*a^6*c^3) - (9*A^2*(-a^7*c^3)^(1/2))/(64*a^7*c^2) - (3*A*B)/(32*a^3*c))^(1/2))/((B^3*c)/4 + (3*A*B^2*(-a^7*c^3)^(1/2))/(4*a^4) - (27*A^3*c*(-a^7*c^3)^(1/2))/(4*a^5) - (9*A^2*B*c^2)/(4*a)))*(-(9*A^2*c*(-a^7*c^3)^(1/2) - B^2*a*(-a^7*c^3)^(1/2) + 6*A*B*a^4*c^2)/(64*a^7*c^3))^(1/2) - 2*atanh((2*B^2*c^2*x^(1/2)*((9*A^2*(-a^7*c^3)^(1/2))/(64*a^7*c^2) - (3*A*B)/(32*a^3*c) - (B^2*(-a^7*c^3)^(1/2))/(64*a^6*c^3))^(1/2))/((B^3*c)/(4*a) - (3*A*B^2*(-a^7*c^3)^(1/2))/(4*a^5) + (27*A^3*c*(-a^7*c^3)^(1/2))/(4*a^6) - (9*A^2*B*c^2)/(4*a^2)) - (18*A^2*c^3*x^(1/2)*((9*A^2*(-a^7*c^3)^(1/2))/(64*a^7*c^2) - (3*A*B)/(32*a^3*c) - (B^2*(-a^7*c^3)^(1/2))/(64*a^6*c^3))^(1/2))/((B^3*c)/4 - (3*A*B^2*(-a^7*c^3)^(1/2))/(4*a^4) + (27*A^3*c*(-a^7*c^3)^(1/2))/(4*a^5) - (9*A^2*B*c^2)/(4*a)))*(-(B^2*a*(-a^7*c^3)^(1/2) - 9*A^2*c*(-a^7*c^3)^(1/2) + 6*A*B*a^4*c^2)/(64*a^7*c^3))^(1/2)","B"
424,1,634,304,0.248360,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + c*x^2)^2),x)","2\,\mathrm{atanh}\left(\frac{1600\,A^2\,a^7\,c^4\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,a^4}-\frac{25\,A^2\,\sqrt{-a^9\,c}}{64\,a^9}+\frac{9\,B^2\,\sqrt{-a^9\,c}}{64\,a^8\,c}}}{1000\,A^3\,a^5\,c^4-216\,B^3\,a^2\,c^2\,\sqrt{-a^9\,c}-360\,A\,B^2\,a^6\,c^3+600\,A^2\,B\,a\,c^3\,\sqrt{-a^9\,c}}-\frac{576\,B^2\,a^8\,c^3\,\sqrt{x}\,\sqrt{\frac{15\,A\,B}{32\,a^4}-\frac{25\,A^2\,\sqrt{-a^9\,c}}{64\,a^9}+\frac{9\,B^2\,\sqrt{-a^9\,c}}{64\,a^8\,c}}}{1000\,A^3\,a^5\,c^4-216\,B^3\,a^2\,c^2\,\sqrt{-a^9\,c}-360\,A\,B^2\,a^6\,c^3+600\,A^2\,B\,a\,c^3\,\sqrt{-a^9\,c}}\right)\,\sqrt{\frac{9\,B^2\,a\,\sqrt{-a^9\,c}-25\,A^2\,c\,\sqrt{-a^9\,c}+30\,A\,B\,a^5\,c}{64\,a^9\,c}}+2\,\mathrm{atanh}\left(\frac{1600\,A^2\,a^7\,c^4\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^9\,c}}{64\,a^9}+\frac{15\,A\,B}{32\,a^4}-\frac{9\,B^2\,\sqrt{-a^9\,c}}{64\,a^8\,c}}}{1000\,A^3\,a^5\,c^4+216\,B^3\,a^2\,c^2\,\sqrt{-a^9\,c}-360\,A\,B^2\,a^6\,c^3-600\,A^2\,B\,a\,c^3\,\sqrt{-a^9\,c}}-\frac{576\,B^2\,a^8\,c^3\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^9\,c}}{64\,a^9}+\frac{15\,A\,B}{32\,a^4}-\frac{9\,B^2\,\sqrt{-a^9\,c}}{64\,a^8\,c}}}{1000\,A^3\,a^5\,c^4+216\,B^3\,a^2\,c^2\,\sqrt{-a^9\,c}-360\,A\,B^2\,a^6\,c^3-600\,A^2\,B\,a\,c^3\,\sqrt{-a^9\,c}}\right)\,\sqrt{\frac{25\,A^2\,c\,\sqrt{-a^9\,c}-9\,B^2\,a\,\sqrt{-a^9\,c}+30\,A\,B\,a^5\,c}{64\,a^9\,c}}-\frac{\frac{2\,A}{a}-\frac{B\,x}{2\,a}+\frac{5\,A\,c\,x^2}{2\,a^2}}{a\,\sqrt{x}+c\,x^{5/2}}","Not used",1,"2*atanh((1600*A^2*a^7*c^4*x^(1/2)*((15*A*B)/(32*a^4) - (25*A^2*(-a^9*c)^(1/2))/(64*a^9) + (9*B^2*(-a^9*c)^(1/2))/(64*a^8*c))^(1/2))/(1000*A^3*a^5*c^4 - 216*B^3*a^2*c^2*(-a^9*c)^(1/2) - 360*A*B^2*a^6*c^3 + 600*A^2*B*a*c^3*(-a^9*c)^(1/2)) - (576*B^2*a^8*c^3*x^(1/2)*((15*A*B)/(32*a^4) - (25*A^2*(-a^9*c)^(1/2))/(64*a^9) + (9*B^2*(-a^9*c)^(1/2))/(64*a^8*c))^(1/2))/(1000*A^3*a^5*c^4 - 216*B^3*a^2*c^2*(-a^9*c)^(1/2) - 360*A*B^2*a^6*c^3 + 600*A^2*B*a*c^3*(-a^9*c)^(1/2)))*((9*B^2*a*(-a^9*c)^(1/2) - 25*A^2*c*(-a^9*c)^(1/2) + 30*A*B*a^5*c)/(64*a^9*c))^(1/2) + 2*atanh((1600*A^2*a^7*c^4*x^(1/2)*((25*A^2*(-a^9*c)^(1/2))/(64*a^9) + (15*A*B)/(32*a^4) - (9*B^2*(-a^9*c)^(1/2))/(64*a^8*c))^(1/2))/(1000*A^3*a^5*c^4 + 216*B^3*a^2*c^2*(-a^9*c)^(1/2) - 360*A*B^2*a^6*c^3 - 600*A^2*B*a*c^3*(-a^9*c)^(1/2)) - (576*B^2*a^8*c^3*x^(1/2)*((25*A^2*(-a^9*c)^(1/2))/(64*a^9) + (15*A*B)/(32*a^4) - (9*B^2*(-a^9*c)^(1/2))/(64*a^8*c))^(1/2))/(1000*A^3*a^5*c^4 + 216*B^3*a^2*c^2*(-a^9*c)^(1/2) - 360*A*B^2*a^6*c^3 - 600*A^2*B*a*c^3*(-a^9*c)^(1/2)))*((25*A^2*c*(-a^9*c)^(1/2) - 9*B^2*a*(-a^9*c)^(1/2) + 30*A*B*a^5*c)/(64*a^9*c))^(1/2) - ((2*A)/a - (B*x)/(2*a) + (5*A*c*x^2)/(2*a^2))/(a*x^(1/2) + c*x^(5/2))","B"
425,1,638,317,0.245072,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + c*x^2)^2),x)","-\frac{\frac{2\,A}{3\,a}+\frac{2\,B\,x}{a}+\frac{7\,A\,c\,x^2}{6\,a^2}+\frac{5\,B\,c\,x^3}{2\,a^2}}{a\,x^{3/2}+c\,x^{7/2}}-2\,\mathrm{atanh}\left(\frac{3136\,A^2\,a^6\,c^5\,\sqrt{x}\,\sqrt{\frac{49\,A^2\,c\,\sqrt{-a^{11}\,c}}{64\,a^{11}}-\frac{25\,B^2\,\sqrt{-a^{11}\,c}}{64\,a^{10}}-\frac{35\,A\,B\,c}{32\,a^5}}}{1000\,B^3\,a^5\,c^4+\frac{2744\,A^3\,c^5\,\sqrt{-a^{11}\,c}}{a^2}-1960\,A^2\,B\,a^4\,c^5-\frac{1400\,A\,B^2\,c^4\,\sqrt{-a^{11}\,c}}{a}}-\frac{1600\,B^2\,a^7\,c^4\,\sqrt{x}\,\sqrt{\frac{49\,A^2\,c\,\sqrt{-a^{11}\,c}}{64\,a^{11}}-\frac{25\,B^2\,\sqrt{-a^{11}\,c}}{64\,a^{10}}-\frac{35\,A\,B\,c}{32\,a^5}}}{1000\,B^3\,a^5\,c^4+\frac{2744\,A^3\,c^5\,\sqrt{-a^{11}\,c}}{a^2}-1960\,A^2\,B\,a^4\,c^5-\frac{1400\,A\,B^2\,c^4\,\sqrt{-a^{11}\,c}}{a}}\right)\,\sqrt{-\frac{25\,B^2\,a\,\sqrt{-a^{11}\,c}-49\,A^2\,c\,\sqrt{-a^{11}\,c}+70\,A\,B\,a^6\,c}{64\,a^{11}}}-2\,\mathrm{atanh}\left(\frac{3136\,A^2\,a^6\,c^5\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^{11}\,c}}{64\,a^{10}}-\frac{49\,A^2\,c\,\sqrt{-a^{11}\,c}}{64\,a^{11}}-\frac{35\,A\,B\,c}{32\,a^5}}}{1000\,B^3\,a^5\,c^4-\frac{2744\,A^3\,c^5\,\sqrt{-a^{11}\,c}}{a^2}-1960\,A^2\,B\,a^4\,c^5+\frac{1400\,A\,B^2\,c^4\,\sqrt{-a^{11}\,c}}{a}}-\frac{1600\,B^2\,a^7\,c^4\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^{11}\,c}}{64\,a^{10}}-\frac{49\,A^2\,c\,\sqrt{-a^{11}\,c}}{64\,a^{11}}-\frac{35\,A\,B\,c}{32\,a^5}}}{1000\,B^3\,a^5\,c^4-\frac{2744\,A^3\,c^5\,\sqrt{-a^{11}\,c}}{a^2}-1960\,A^2\,B\,a^4\,c^5+\frac{1400\,A\,B^2\,c^4\,\sqrt{-a^{11}\,c}}{a}}\right)\,\sqrt{-\frac{49\,A^2\,c\,\sqrt{-a^{11}\,c}-25\,B^2\,a\,\sqrt{-a^{11}\,c}+70\,A\,B\,a^6\,c}{64\,a^{11}}}","Not used",1,"- ((2*A)/(3*a) + (2*B*x)/a + (7*A*c*x^2)/(6*a^2) + (5*B*c*x^3)/(2*a^2))/(a*x^(3/2) + c*x^(7/2)) - 2*atanh((3136*A^2*a^6*c^5*x^(1/2)*((49*A^2*c*(-a^11*c)^(1/2))/(64*a^11) - (25*B^2*(-a^11*c)^(1/2))/(64*a^10) - (35*A*B*c)/(32*a^5))^(1/2))/(1000*B^3*a^5*c^4 + (2744*A^3*c^5*(-a^11*c)^(1/2))/a^2 - 1960*A^2*B*a^4*c^5 - (1400*A*B^2*c^4*(-a^11*c)^(1/2))/a) - (1600*B^2*a^7*c^4*x^(1/2)*((49*A^2*c*(-a^11*c)^(1/2))/(64*a^11) - (25*B^2*(-a^11*c)^(1/2))/(64*a^10) - (35*A*B*c)/(32*a^5))^(1/2))/(1000*B^3*a^5*c^4 + (2744*A^3*c^5*(-a^11*c)^(1/2))/a^2 - 1960*A^2*B*a^4*c^5 - (1400*A*B^2*c^4*(-a^11*c)^(1/2))/a))*(-(25*B^2*a*(-a^11*c)^(1/2) - 49*A^2*c*(-a^11*c)^(1/2) + 70*A*B*a^6*c)/(64*a^11))^(1/2) - 2*atanh((3136*A^2*a^6*c^5*x^(1/2)*((25*B^2*(-a^11*c)^(1/2))/(64*a^10) - (49*A^2*c*(-a^11*c)^(1/2))/(64*a^11) - (35*A*B*c)/(32*a^5))^(1/2))/(1000*B^3*a^5*c^4 - (2744*A^3*c^5*(-a^11*c)^(1/2))/a^2 - 1960*A^2*B*a^4*c^5 + (1400*A*B^2*c^4*(-a^11*c)^(1/2))/a) - (1600*B^2*a^7*c^4*x^(1/2)*((25*B^2*(-a^11*c)^(1/2))/(64*a^10) - (49*A^2*c*(-a^11*c)^(1/2))/(64*a^11) - (35*A*B*c)/(32*a^5))^(1/2))/(1000*B^3*a^5*c^4 - (2744*A^3*c^5*(-a^11*c)^(1/2))/a^2 - 1960*A^2*B*a^4*c^5 + (1400*A*B^2*c^4*(-a^11*c)^(1/2))/a))*(-(49*A^2*c*(-a^11*c)^(1/2) - 25*B^2*a*(-a^11*c)^(1/2) + 70*A*B*a^6*c)/(64*a^11))^(1/2)","B"
426,1,686,320,1.293172,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + c*x^2)^3,x)","-2\,\mathrm{atanh}\left(\frac{25\,A^2\,\sqrt{x}\,\sqrt{\frac{441\,B^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^2\,c^{11}}-\frac{25\,A^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^3\,c^{10}}-\frac{105\,A\,B}{2048\,a\,c^5}}}{32\,\left(\frac{525\,A^2\,B}{2048\,c^3}-\frac{9261\,B^3\,a}{2048\,c^4}+\frac{125\,A^3\,\sqrt{-a^3\,c^{11}}}{2048\,a^2\,c^8}-\frac{2205\,A\,B^2\,\sqrt{-a^3\,c^{11}}}{2048\,a\,c^9}\right)}-\frac{441\,B^2\,a\,\sqrt{x}\,\sqrt{\frac{441\,B^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^2\,c^{11}}-\frac{25\,A^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^3\,c^{10}}-\frac{105\,A\,B}{2048\,a\,c^5}}}{32\,\left(\frac{525\,A^2\,B}{2048\,c^2}-\frac{9261\,B^3\,a}{2048\,c^3}+\frac{125\,A^3\,\sqrt{-a^3\,c^{11}}}{2048\,a^2\,c^7}-\frac{2205\,A\,B^2\,\sqrt{-a^3\,c^{11}}}{2048\,a\,c^8}\right)}\right)\,\sqrt{-\frac{25\,A^2\,c\,\sqrt{-a^3\,c^{11}}-441\,B^2\,a\,\sqrt{-a^3\,c^{11}}+210\,A\,B\,a^2\,c^6}{4096\,a^3\,c^{11}}}-2\,\mathrm{atanh}\left(\frac{25\,A^2\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^3\,c^{10}}-\frac{105\,A\,B}{2048\,a\,c^5}-\frac{441\,B^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^2\,c^{11}}}}{32\,\left(\frac{525\,A^2\,B}{2048\,c^3}-\frac{9261\,B^3\,a}{2048\,c^4}-\frac{125\,A^3\,\sqrt{-a^3\,c^{11}}}{2048\,a^2\,c^8}+\frac{2205\,A\,B^2\,\sqrt{-a^3\,c^{11}}}{2048\,a\,c^9}\right)}-\frac{441\,B^2\,a\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^3\,c^{10}}-\frac{105\,A\,B}{2048\,a\,c^5}-\frac{441\,B^2\,\sqrt{-a^3\,c^{11}}}{4096\,a^2\,c^{11}}}}{32\,\left(\frac{525\,A^2\,B}{2048\,c^2}-\frac{9261\,B^3\,a}{2048\,c^3}-\frac{125\,A^3\,\sqrt{-a^3\,c^{11}}}{2048\,a^2\,c^7}+\frac{2205\,A\,B^2\,\sqrt{-a^3\,c^{11}}}{2048\,a\,c^8}\right)}\right)\,\sqrt{-\frac{441\,B^2\,a\,\sqrt{-a^3\,c^{11}}-25\,A^2\,c\,\sqrt{-a^3\,c^{11}}+210\,A\,B\,a^2\,c^6}{4096\,a^3\,c^{11}}}-\frac{\frac{9\,A\,x^{5/2}}{16\,c}+\frac{11\,B\,x^{7/2}}{16\,c}+\frac{5\,A\,a\,\sqrt{x}}{16\,c^2}+\frac{7\,B\,a\,x^{3/2}}{16\,c^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"- 2*atanh((25*A^2*x^(1/2)*((441*B^2*(-a^3*c^11)^(1/2))/(4096*a^2*c^11) - (25*A^2*(-a^3*c^11)^(1/2))/(4096*a^3*c^10) - (105*A*B)/(2048*a*c^5))^(1/2))/(32*((525*A^2*B)/(2048*c^3) - (9261*B^3*a)/(2048*c^4) + (125*A^3*(-a^3*c^11)^(1/2))/(2048*a^2*c^8) - (2205*A*B^2*(-a^3*c^11)^(1/2))/(2048*a*c^9))) - (441*B^2*a*x^(1/2)*((441*B^2*(-a^3*c^11)^(1/2))/(4096*a^2*c^11) - (25*A^2*(-a^3*c^11)^(1/2))/(4096*a^3*c^10) - (105*A*B)/(2048*a*c^5))^(1/2))/(32*((525*A^2*B)/(2048*c^2) - (9261*B^3*a)/(2048*c^3) + (125*A^3*(-a^3*c^11)^(1/2))/(2048*a^2*c^7) - (2205*A*B^2*(-a^3*c^11)^(1/2))/(2048*a*c^8))))*(-(25*A^2*c*(-a^3*c^11)^(1/2) - 441*B^2*a*(-a^3*c^11)^(1/2) + 210*A*B*a^2*c^6)/(4096*a^3*c^11))^(1/2) - 2*atanh((25*A^2*x^(1/2)*((25*A^2*(-a^3*c^11)^(1/2))/(4096*a^3*c^10) - (105*A*B)/(2048*a*c^5) - (441*B^2*(-a^3*c^11)^(1/2))/(4096*a^2*c^11))^(1/2))/(32*((525*A^2*B)/(2048*c^3) - (9261*B^3*a)/(2048*c^4) - (125*A^3*(-a^3*c^11)^(1/2))/(2048*a^2*c^8) + (2205*A*B^2*(-a^3*c^11)^(1/2))/(2048*a*c^9))) - (441*B^2*a*x^(1/2)*((25*A^2*(-a^3*c^11)^(1/2))/(4096*a^3*c^10) - (105*A*B)/(2048*a*c^5) - (441*B^2*(-a^3*c^11)^(1/2))/(4096*a^2*c^11))^(1/2))/(32*((525*A^2*B)/(2048*c^2) - (9261*B^3*a)/(2048*c^3) - (125*A^3*(-a^3*c^11)^(1/2))/(2048*a^2*c^7) + (2205*A*B^2*(-a^3*c^11)^(1/2))/(2048*a*c^8))))*(-(441*B^2*a*(-a^3*c^11)^(1/2) - 25*A^2*c*(-a^3*c^11)^(1/2) + 210*A*B*a^2*c^6)/(4096*a^3*c^11))^(1/2) - ((9*A*x^(5/2))/(16*c) + (11*B*x^(7/2))/(16*c) + (5*A*a*x^(1/2))/(16*c^2) + (7*B*a*x^(3/2))/(16*c^2))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
427,1,697,325,1.285030,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + c*x^2)^3,x)","2\,\mathrm{atanh}\left(\frac{25\,B^2\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^5\,c^9}}{4096\,a^4\,c^9}-\frac{9\,A^2\,\sqrt{-a^5\,c^9}}{4096\,a^5\,c^8}-\frac{15\,A\,B}{2048\,a^2\,c^4}}}{32\,\left(\frac{27\,A^3}{2048\,a^2\,c}-\frac{75\,A\,B^2}{2048\,a\,c^2}+\frac{125\,B^3\,\sqrt{-a^5\,c^9}}{2048\,a^3\,c^7}-\frac{45\,A^2\,B\,\sqrt{-a^5\,c^9}}{2048\,a^4\,c^6}\right)}+\frac{9\,A^2\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^5\,c^9}}{4096\,a^4\,c^9}-\frac{9\,A^2\,\sqrt{-a^5\,c^9}}{4096\,a^5\,c^8}-\frac{15\,A\,B}{2048\,a^2\,c^4}}}{32\,\left(\frac{75\,A\,B^2}{2048\,c^3}-\frac{27\,A^3}{2048\,a\,c^2}-\frac{125\,B^3\,\sqrt{-a^5\,c^9}}{2048\,a^2\,c^8}+\frac{45\,A^2\,B\,\sqrt{-a^5\,c^9}}{2048\,a^3\,c^7}\right)}\right)\,\sqrt{-\frac{9\,A^2\,c\,\sqrt{-a^5\,c^9}-25\,B^2\,a\,\sqrt{-a^5\,c^9}+30\,A\,B\,a^3\,c^5}{4096\,a^5\,c^9}}+2\,\mathrm{atanh}\left(\frac{25\,B^2\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^5\,c^9}}{4096\,a^5\,c^8}-\frac{15\,A\,B}{2048\,a^2\,c^4}-\frac{25\,B^2\,\sqrt{-a^5\,c^9}}{4096\,a^4\,c^9}}}{32\,\left(\frac{27\,A^3}{2048\,a^2\,c}-\frac{75\,A\,B^2}{2048\,a\,c^2}-\frac{125\,B^3\,\sqrt{-a^5\,c^9}}{2048\,a^3\,c^7}+\frac{45\,A^2\,B\,\sqrt{-a^5\,c^9}}{2048\,a^4\,c^6}\right)}+\frac{9\,A^2\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^5\,c^9}}{4096\,a^5\,c^8}-\frac{15\,A\,B}{2048\,a^2\,c^4}-\frac{25\,B^2\,\sqrt{-a^5\,c^9}}{4096\,a^4\,c^9}}}{32\,\left(\frac{75\,A\,B^2}{2048\,c^3}-\frac{27\,A^3}{2048\,a\,c^2}+\frac{125\,B^3\,\sqrt{-a^5\,c^9}}{2048\,a^2\,c^8}-\frac{45\,A^2\,B\,\sqrt{-a^5\,c^9}}{2048\,a^3\,c^7}\right)}\right)\,\sqrt{-\frac{25\,B^2\,a\,\sqrt{-a^5\,c^9}-9\,A^2\,c\,\sqrt{-a^5\,c^9}+30\,A\,B\,a^3\,c^5}{4096\,a^5\,c^9}}-\frac{\frac{A\,x^{3/2}}{16\,c}-\frac{3\,A\,x^{7/2}}{16\,a}+\frac{9\,B\,x^{5/2}}{16\,c}+\frac{5\,B\,a\,\sqrt{x}}{16\,c^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"2*atanh((25*B^2*x^(1/2)*((25*B^2*(-a^5*c^9)^(1/2))/(4096*a^4*c^9) - (9*A^2*(-a^5*c^9)^(1/2))/(4096*a^5*c^8) - (15*A*B)/(2048*a^2*c^4))^(1/2))/(32*((27*A^3)/(2048*a^2*c) - (75*A*B^2)/(2048*a*c^2) + (125*B^3*(-a^5*c^9)^(1/2))/(2048*a^3*c^7) - (45*A^2*B*(-a^5*c^9)^(1/2))/(2048*a^4*c^6))) + (9*A^2*x^(1/2)*((25*B^2*(-a^5*c^9)^(1/2))/(4096*a^4*c^9) - (9*A^2*(-a^5*c^9)^(1/2))/(4096*a^5*c^8) - (15*A*B)/(2048*a^2*c^4))^(1/2))/(32*((75*A*B^2)/(2048*c^3) - (27*A^3)/(2048*a*c^2) - (125*B^3*(-a^5*c^9)^(1/2))/(2048*a^2*c^8) + (45*A^2*B*(-a^5*c^9)^(1/2))/(2048*a^3*c^7))))*(-(9*A^2*c*(-a^5*c^9)^(1/2) - 25*B^2*a*(-a^5*c^9)^(1/2) + 30*A*B*a^3*c^5)/(4096*a^5*c^9))^(1/2) + 2*atanh((25*B^2*x^(1/2)*((9*A^2*(-a^5*c^9)^(1/2))/(4096*a^5*c^8) - (15*A*B)/(2048*a^2*c^4) - (25*B^2*(-a^5*c^9)^(1/2))/(4096*a^4*c^9))^(1/2))/(32*((27*A^3)/(2048*a^2*c) - (75*A*B^2)/(2048*a*c^2) - (125*B^3*(-a^5*c^9)^(1/2))/(2048*a^3*c^7) + (45*A^2*B*(-a^5*c^9)^(1/2))/(2048*a^4*c^6))) + (9*A^2*x^(1/2)*((9*A^2*(-a^5*c^9)^(1/2))/(4096*a^5*c^8) - (15*A*B)/(2048*a^2*c^4) - (25*B^2*(-a^5*c^9)^(1/2))/(4096*a^4*c^9))^(1/2))/(32*((75*A*B^2)/(2048*c^3) - (27*A^3)/(2048*a*c^2) + (125*B^3*(-a^5*c^9)^(1/2))/(2048*a^2*c^8) - (45*A^2*B*(-a^5*c^9)^(1/2))/(2048*a^3*c^7))))*(-(25*B^2*a*(-a^5*c^9)^(1/2) - 9*A^2*c*(-a^5*c^9)^(1/2) + 30*A*B*a^3*c^5)/(4096*a^5*c^9))^(1/2) - ((A*x^(3/2))/(16*c) - (3*A*x^(7/2))/(16*a) + (9*B*x^(5/2))/(16*c) + (5*B*a*x^(1/2))/(16*c^2))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
428,1,695,315,1.288068,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + c*x^2)^3,x)","\frac{\frac{A\,x^{5/2}}{16\,a}+\frac{3\,B\,x^{7/2}}{16\,a}-\frac{3\,A\,\sqrt{x}}{16\,c}-\frac{B\,x^{3/2}}{16\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}-2\,\mathrm{atanh}\left(\frac{9\,B^2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^7\,c^7}}{4096\,a^6\,c^7}-\frac{9\,A^2\,\sqrt{-a^7\,c^7}}{4096\,a^7\,c^6}-\frac{9\,A\,B}{2048\,a^3\,c^3}}}{32\,\left(\frac{27\,B^3}{2048\,a\,c^2}-\frac{27\,A^3\,\sqrt{-a^7\,c^7}}{2048\,a^6\,c^4}-\frac{27\,A^2\,B}{2048\,a^2\,c}+\frac{27\,A\,B^2\,\sqrt{-a^7\,c^7}}{2048\,a^5\,c^5}\right)}-\frac{9\,A^2\,c\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^7\,c^7}}{4096\,a^6\,c^7}-\frac{9\,A^2\,\sqrt{-a^7\,c^7}}{4096\,a^7\,c^6}-\frac{9\,A\,B}{2048\,a^3\,c^3}}}{32\,\left(\frac{27\,B^3}{2048\,c^2}-\frac{27\,A^3\,\sqrt{-a^7\,c^7}}{2048\,a^5\,c^4}-\frac{27\,A^2\,B}{2048\,a\,c}+\frac{27\,A\,B^2\,\sqrt{-a^7\,c^7}}{2048\,a^4\,c^5}\right)}\right)\,\sqrt{-\frac{9\,\left(A^2\,c\,\sqrt{-a^7\,c^7}-B^2\,a\,\sqrt{-a^7\,c^7}+2\,A\,B\,a^4\,c^4\right)}{4096\,a^7\,c^7}}-2\,\mathrm{atanh}\left(\frac{9\,B^2\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^7\,c^7}}{4096\,a^7\,c^6}-\frac{9\,A\,B}{2048\,a^3\,c^3}-\frac{9\,B^2\,\sqrt{-a^7\,c^7}}{4096\,a^6\,c^7}}}{32\,\left(\frac{27\,B^3}{2048\,a\,c^2}+\frac{27\,A^3\,\sqrt{-a^7\,c^7}}{2048\,a^6\,c^4}-\frac{27\,A^2\,B}{2048\,a^2\,c}-\frac{27\,A\,B^2\,\sqrt{-a^7\,c^7}}{2048\,a^5\,c^5}\right)}-\frac{9\,A^2\,c\,\sqrt{x}\,\sqrt{\frac{9\,A^2\,\sqrt{-a^7\,c^7}}{4096\,a^7\,c^6}-\frac{9\,A\,B}{2048\,a^3\,c^3}-\frac{9\,B^2\,\sqrt{-a^7\,c^7}}{4096\,a^6\,c^7}}}{32\,\left(\frac{27\,B^3}{2048\,c^2}+\frac{27\,A^3\,\sqrt{-a^7\,c^7}}{2048\,a^5\,c^4}-\frac{27\,A^2\,B}{2048\,a\,c}-\frac{27\,A\,B^2\,\sqrt{-a^7\,c^7}}{2048\,a^4\,c^5}\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,\sqrt{-a^7\,c^7}-A^2\,c\,\sqrt{-a^7\,c^7}+2\,A\,B\,a^4\,c^4\right)}{4096\,a^7\,c^7}}","Not used",1,"((A*x^(5/2))/(16*a) + (3*B*x^(7/2))/(16*a) - (3*A*x^(1/2))/(16*c) - (B*x^(3/2))/(16*c))/(a^2 + c^2*x^4 + 2*a*c*x^2) - 2*atanh((9*B^2*x^(1/2)*((9*B^2*(-a^7*c^7)^(1/2))/(4096*a^6*c^7) - (9*A^2*(-a^7*c^7)^(1/2))/(4096*a^7*c^6) - (9*A*B)/(2048*a^3*c^3))^(1/2))/(32*((27*B^3)/(2048*a*c^2) - (27*A^3*(-a^7*c^7)^(1/2))/(2048*a^6*c^4) - (27*A^2*B)/(2048*a^2*c) + (27*A*B^2*(-a^7*c^7)^(1/2))/(2048*a^5*c^5))) - (9*A^2*c*x^(1/2)*((9*B^2*(-a^7*c^7)^(1/2))/(4096*a^6*c^7) - (9*A^2*(-a^7*c^7)^(1/2))/(4096*a^7*c^6) - (9*A*B)/(2048*a^3*c^3))^(1/2))/(32*((27*B^3)/(2048*c^2) - (27*A^3*(-a^7*c^7)^(1/2))/(2048*a^5*c^4) - (27*A^2*B)/(2048*a*c) + (27*A*B^2*(-a^7*c^7)^(1/2))/(2048*a^4*c^5))))*(-(9*(A^2*c*(-a^7*c^7)^(1/2) - B^2*a*(-a^7*c^7)^(1/2) + 2*A*B*a^4*c^4))/(4096*a^7*c^7))^(1/2) - 2*atanh((9*B^2*x^(1/2)*((9*A^2*(-a^7*c^7)^(1/2))/(4096*a^7*c^6) - (9*A*B)/(2048*a^3*c^3) - (9*B^2*(-a^7*c^7)^(1/2))/(4096*a^6*c^7))^(1/2))/(32*((27*B^3)/(2048*a*c^2) + (27*A^3*(-a^7*c^7)^(1/2))/(2048*a^6*c^4) - (27*A^2*B)/(2048*a^2*c) - (27*A*B^2*(-a^7*c^7)^(1/2))/(2048*a^5*c^5))) - (9*A^2*c*x^(1/2)*((9*A^2*(-a^7*c^7)^(1/2))/(4096*a^7*c^6) - (9*A*B)/(2048*a^3*c^3) - (9*B^2*(-a^7*c^7)^(1/2))/(4096*a^6*c^7))^(1/2))/(32*((27*B^3)/(2048*c^2) + (27*A^3*(-a^7*c^7)^(1/2))/(2048*a^5*c^4) - (27*A^2*B)/(2048*a*c) - (27*A*B^2*(-a^7*c^7)^(1/2))/(2048*a^4*c^5))))*(-(9*(B^2*a*(-a^7*c^7)^(1/2) - A^2*c*(-a^7*c^7)^(1/2) + 2*A*B*a^4*c^4))/(4096*a^7*c^7))^(1/2)","B"
429,1,690,331,1.285691,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + c*x^2)^3,x)","\frac{\frac{9\,A\,x^{3/2}}{16\,a}+\frac{B\,x^{5/2}}{16\,a}-\frac{3\,B\,\sqrt{x}}{16\,c}+\frac{5\,A\,c\,x^{7/2}}{16\,a^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}-2\,\mathrm{atanh}\left(\frac{9\,B^2\,c\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^9\,c^5}}{4096\,a^9\,c^4}-\frac{15\,A\,B}{2048\,a^4\,c^2}-\frac{9\,B^2\,\sqrt{-a^9\,c^5}}{4096\,a^8\,c^5}}}{32\,\left(\frac{45\,A\,B^2}{2048\,a^2}-\frac{125\,A^3\,c}{2048\,a^3}+\frac{27\,B^3\,\sqrt{-a^9\,c^5}}{2048\,a^6\,c^3}-\frac{75\,A^2\,B\,\sqrt{-a^9\,c^5}}{2048\,a^7\,c^2}\right)}-\frac{25\,A^2\,c^2\,\sqrt{x}\,\sqrt{\frac{25\,A^2\,\sqrt{-a^9\,c^5}}{4096\,a^9\,c^4}-\frac{15\,A\,B}{2048\,a^4\,c^2}-\frac{9\,B^2\,\sqrt{-a^9\,c^5}}{4096\,a^8\,c^5}}}{32\,\left(\frac{45\,A\,B^2}{2048\,a}-\frac{125\,A^3\,c}{2048\,a^2}+\frac{27\,B^3\,\sqrt{-a^9\,c^5}}{2048\,a^5\,c^3}-\frac{75\,A^2\,B\,\sqrt{-a^9\,c^5}}{2048\,a^6\,c^2}\right)}\right)\,\sqrt{-\frac{9\,B^2\,a\,\sqrt{-a^9\,c^5}-25\,A^2\,c\,\sqrt{-a^9\,c^5}+30\,A\,B\,a^5\,c^3}{4096\,a^9\,c^5}}-2\,\mathrm{atanh}\left(\frac{9\,B^2\,c\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^9\,c^5}}{4096\,a^8\,c^5}-\frac{25\,A^2\,\sqrt{-a^9\,c^5}}{4096\,a^9\,c^4}-\frac{15\,A\,B}{2048\,a^4\,c^2}}}{32\,\left(\frac{45\,A\,B^2}{2048\,a^2}-\frac{125\,A^3\,c}{2048\,a^3}-\frac{27\,B^3\,\sqrt{-a^9\,c^5}}{2048\,a^6\,c^3}+\frac{75\,A^2\,B\,\sqrt{-a^9\,c^5}}{2048\,a^7\,c^2}\right)}-\frac{25\,A^2\,c^2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,\sqrt{-a^9\,c^5}}{4096\,a^8\,c^5}-\frac{25\,A^2\,\sqrt{-a^9\,c^5}}{4096\,a^9\,c^4}-\frac{15\,A\,B}{2048\,a^4\,c^2}}}{32\,\left(\frac{45\,A\,B^2}{2048\,a}-\frac{125\,A^3\,c}{2048\,a^2}-\frac{27\,B^3\,\sqrt{-a^9\,c^5}}{2048\,a^5\,c^3}+\frac{75\,A^2\,B\,\sqrt{-a^9\,c^5}}{2048\,a^6\,c^2}\right)}\right)\,\sqrt{-\frac{25\,A^2\,c\,\sqrt{-a^9\,c^5}-9\,B^2\,a\,\sqrt{-a^9\,c^5}+30\,A\,B\,a^5\,c^3}{4096\,a^9\,c^5}}","Not used",1,"((9*A*x^(3/2))/(16*a) + (B*x^(5/2))/(16*a) - (3*B*x^(1/2))/(16*c) + (5*A*c*x^(7/2))/(16*a^2))/(a^2 + c^2*x^4 + 2*a*c*x^2) - 2*atanh((9*B^2*c*x^(1/2)*((25*A^2*(-a^9*c^5)^(1/2))/(4096*a^9*c^4) - (15*A*B)/(2048*a^4*c^2) - (9*B^2*(-a^9*c^5)^(1/2))/(4096*a^8*c^5))^(1/2))/(32*((45*A*B^2)/(2048*a^2) - (125*A^3*c)/(2048*a^3) + (27*B^3*(-a^9*c^5)^(1/2))/(2048*a^6*c^3) - (75*A^2*B*(-a^9*c^5)^(1/2))/(2048*a^7*c^2))) - (25*A^2*c^2*x^(1/2)*((25*A^2*(-a^9*c^5)^(1/2))/(4096*a^9*c^4) - (15*A*B)/(2048*a^4*c^2) - (9*B^2*(-a^9*c^5)^(1/2))/(4096*a^8*c^5))^(1/2))/(32*((45*A*B^2)/(2048*a) - (125*A^3*c)/(2048*a^2) + (27*B^3*(-a^9*c^5)^(1/2))/(2048*a^5*c^3) - (75*A^2*B*(-a^9*c^5)^(1/2))/(2048*a^6*c^2))))*(-(9*B^2*a*(-a^9*c^5)^(1/2) - 25*A^2*c*(-a^9*c^5)^(1/2) + 30*A*B*a^5*c^3)/(4096*a^9*c^5))^(1/2) - 2*atanh((9*B^2*c*x^(1/2)*((9*B^2*(-a^9*c^5)^(1/2))/(4096*a^8*c^5) - (25*A^2*(-a^9*c^5)^(1/2))/(4096*a^9*c^4) - (15*A*B)/(2048*a^4*c^2))^(1/2))/(32*((45*A*B^2)/(2048*a^2) - (125*A^3*c)/(2048*a^3) - (27*B^3*(-a^9*c^5)^(1/2))/(2048*a^6*c^3) + (75*A^2*B*(-a^9*c^5)^(1/2))/(2048*a^7*c^2))) - (25*A^2*c^2*x^(1/2)*((9*B^2*(-a^9*c^5)^(1/2))/(4096*a^8*c^5) - (25*A^2*(-a^9*c^5)^(1/2))/(4096*a^9*c^4) - (15*A*B)/(2048*a^4*c^2))^(1/2))/(32*((45*A*B^2)/(2048*a) - (125*A^3*c)/(2048*a^2) - (27*B^3*(-a^9*c^5)^(1/2))/(2048*a^5*c^3) + (75*A^2*B*(-a^9*c^5)^(1/2))/(2048*a^6*c^2))))*(-(25*A^2*c*(-a^9*c^5)^(1/2) - 9*B^2*a*(-a^9*c^5)^(1/2) + 30*A*B*a^5*c^3)/(4096*a^9*c^5))^(1/2)","B"
430,1,687,320,1.277740,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + c*x^2)^3),x)","2\,\mathrm{atanh}\left(\frac{441\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{10}\,c^3}-\frac{441\,A^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{11}\,c^2}-\frac{105\,A\,B}{2048\,a^5\,c}}}{32\,\left(\frac{125\,B^3\,c}{2048\,a}+\frac{525\,A\,B^2\,\sqrt{-a^{11}\,c^3}}{2048\,a^7}-\frac{9261\,A^3\,c\,\sqrt{-a^{11}\,c^3}}{2048\,a^8}-\frac{2205\,A^2\,B\,c^2}{2048\,a^2}\right)}-\frac{25\,B^2\,c^2\,\sqrt{x}\,\sqrt{\frac{25\,B^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{10}\,c^3}-\frac{441\,A^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{11}\,c^2}-\frac{105\,A\,B}{2048\,a^5\,c}}}{32\,\left(\frac{125\,B^3\,c}{2048\,a^2}+\frac{525\,A\,B^2\,\sqrt{-a^{11}\,c^3}}{2048\,a^8}-\frac{9261\,A^3\,c\,\sqrt{-a^{11}\,c^3}}{2048\,a^9}-\frac{2205\,A^2\,B\,c^2}{2048\,a^3}\right)}\right)\,\sqrt{-\frac{441\,A^2\,c\,\sqrt{-a^{11}\,c^3}-25\,B^2\,a\,\sqrt{-a^{11}\,c^3}+210\,A\,B\,a^6\,c^2}{4096\,a^{11}\,c^3}}+2\,\mathrm{atanh}\left(\frac{441\,A^2\,c^3\,\sqrt{x}\,\sqrt{\frac{441\,A^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{11}\,c^2}-\frac{105\,A\,B}{2048\,a^5\,c}-\frac{25\,B^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{10}\,c^3}}}{32\,\left(\frac{125\,B^3\,c}{2048\,a}-\frac{525\,A\,B^2\,\sqrt{-a^{11}\,c^3}}{2048\,a^7}+\frac{9261\,A^3\,c\,\sqrt{-a^{11}\,c^3}}{2048\,a^8}-\frac{2205\,A^2\,B\,c^2}{2048\,a^2}\right)}-\frac{25\,B^2\,c^2\,\sqrt{x}\,\sqrt{\frac{441\,A^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{11}\,c^2}-\frac{105\,A\,B}{2048\,a^5\,c}-\frac{25\,B^2\,\sqrt{-a^{11}\,c^3}}{4096\,a^{10}\,c^3}}}{32\,\left(\frac{125\,B^3\,c}{2048\,a^2}-\frac{525\,A\,B^2\,\sqrt{-a^{11}\,c^3}}{2048\,a^8}+\frac{9261\,A^3\,c\,\sqrt{-a^{11}\,c^3}}{2048\,a^9}-\frac{2205\,A^2\,B\,c^2}{2048\,a^3}\right)}\right)\,\sqrt{-\frac{25\,B^2\,a\,\sqrt{-a^{11}\,c^3}-441\,A^2\,c\,\sqrt{-a^{11}\,c^3}+210\,A\,B\,a^6\,c^2}{4096\,a^{11}\,c^3}}+\frac{\frac{11\,A\,\sqrt{x}}{16\,a}+\frac{9\,B\,x^{3/2}}{16\,a}+\frac{7\,A\,c\,x^{5/2}}{16\,a^2}+\frac{5\,B\,c\,x^{7/2}}{16\,a^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"2*atanh((441*A^2*c^3*x^(1/2)*((25*B^2*(-a^11*c^3)^(1/2))/(4096*a^10*c^3) - (441*A^2*(-a^11*c^3)^(1/2))/(4096*a^11*c^2) - (105*A*B)/(2048*a^5*c))^(1/2))/(32*((125*B^3*c)/(2048*a) + (525*A*B^2*(-a^11*c^3)^(1/2))/(2048*a^7) - (9261*A^3*c*(-a^11*c^3)^(1/2))/(2048*a^8) - (2205*A^2*B*c^2)/(2048*a^2))) - (25*B^2*c^2*x^(1/2)*((25*B^2*(-a^11*c^3)^(1/2))/(4096*a^10*c^3) - (441*A^2*(-a^11*c^3)^(1/2))/(4096*a^11*c^2) - (105*A*B)/(2048*a^5*c))^(1/2))/(32*((125*B^3*c)/(2048*a^2) + (525*A*B^2*(-a^11*c^3)^(1/2))/(2048*a^8) - (9261*A^3*c*(-a^11*c^3)^(1/2))/(2048*a^9) - (2205*A^2*B*c^2)/(2048*a^3))))*(-(441*A^2*c*(-a^11*c^3)^(1/2) - 25*B^2*a*(-a^11*c^3)^(1/2) + 210*A*B*a^6*c^2)/(4096*a^11*c^3))^(1/2) + 2*atanh((441*A^2*c^3*x^(1/2)*((441*A^2*(-a^11*c^3)^(1/2))/(4096*a^11*c^2) - (105*A*B)/(2048*a^5*c) - (25*B^2*(-a^11*c^3)^(1/2))/(4096*a^10*c^3))^(1/2))/(32*((125*B^3*c)/(2048*a) - (525*A*B^2*(-a^11*c^3)^(1/2))/(2048*a^7) + (9261*A^3*c*(-a^11*c^3)^(1/2))/(2048*a^8) - (2205*A^2*B*c^2)/(2048*a^2))) - (25*B^2*c^2*x^(1/2)*((441*A^2*(-a^11*c^3)^(1/2))/(4096*a^11*c^2) - (105*A*B)/(2048*a^5*c) - (25*B^2*(-a^11*c^3)^(1/2))/(4096*a^10*c^3))^(1/2))/(32*((125*B^3*c)/(2048*a^2) - (525*A*B^2*(-a^11*c^3)^(1/2))/(2048*a^8) + (9261*A^3*c*(-a^11*c^3)^(1/2))/(2048*a^9) - (2205*A^2*B*c^2)/(2048*a^3))))*(-(25*B^2*a*(-a^11*c^3)^(1/2) - 441*A^2*c*(-a^11*c^3)^(1/2) + 210*A*B*a^6*c^2)/(4096*a^11*c^3))^(1/2) + ((11*A*x^(1/2))/(16*a) + (9*B*x^(3/2))/(16*a) + (7*A*c*x^(5/2))/(16*a^2) + (5*B*c*x^(7/2))/(16*a^2))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
431,1,673,333,0.280842,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + c*x^2)^3),x)","2\,\mathrm{atanh}\left(\frac{66355200\,A^2\,a^{10}\,c^4\,\sqrt{x}\,\sqrt{\frac{945\,A\,B}{2048\,a^6}-\frac{2025\,A^2\,\sqrt{-a^{13}\,c}}{4096\,a^{13}}+\frac{441\,B^2\,\sqrt{-a^{13}\,c}}{4096\,a^{12}\,c}}}{46656000\,A^3\,a^7\,c^4-4741632\,B^3\,a^2\,c^2\,\sqrt{-a^{13}\,c}-10160640\,A\,B^2\,a^8\,c^3+21772800\,A^2\,B\,a\,c^3\,\sqrt{-a^{13}\,c}}-\frac{14450688\,B^2\,a^{11}\,c^3\,\sqrt{x}\,\sqrt{\frac{945\,A\,B}{2048\,a^6}-\frac{2025\,A^2\,\sqrt{-a^{13}\,c}}{4096\,a^{13}}+\frac{441\,B^2\,\sqrt{-a^{13}\,c}}{4096\,a^{12}\,c}}}{46656000\,A^3\,a^7\,c^4-4741632\,B^3\,a^2\,c^2\,\sqrt{-a^{13}\,c}-10160640\,A\,B^2\,a^8\,c^3+21772800\,A^2\,B\,a\,c^3\,\sqrt{-a^{13}\,c}}\right)\,\sqrt{\frac{9\,\left(49\,B^2\,a\,\sqrt{-a^{13}\,c}-225\,A^2\,c\,\sqrt{-a^{13}\,c}+210\,A\,B\,a^7\,c\right)}{4096\,a^{13}\,c}}+2\,\mathrm{atanh}\left(\frac{66355200\,A^2\,a^{10}\,c^4\,\sqrt{x}\,\sqrt{\frac{2025\,A^2\,\sqrt{-a^{13}\,c}}{4096\,a^{13}}+\frac{945\,A\,B}{2048\,a^6}-\frac{441\,B^2\,\sqrt{-a^{13}\,c}}{4096\,a^{12}\,c}}}{46656000\,A^3\,a^7\,c^4+4741632\,B^3\,a^2\,c^2\,\sqrt{-a^{13}\,c}-10160640\,A\,B^2\,a^8\,c^3-21772800\,A^2\,B\,a\,c^3\,\sqrt{-a^{13}\,c}}-\frac{14450688\,B^2\,a^{11}\,c^3\,\sqrt{x}\,\sqrt{\frac{2025\,A^2\,\sqrt{-a^{13}\,c}}{4096\,a^{13}}+\frac{945\,A\,B}{2048\,a^6}-\frac{441\,B^2\,\sqrt{-a^{13}\,c}}{4096\,a^{12}\,c}}}{46656000\,A^3\,a^7\,c^4+4741632\,B^3\,a^2\,c^2\,\sqrt{-a^{13}\,c}-10160640\,A\,B^2\,a^8\,c^3-21772800\,A^2\,B\,a\,c^3\,\sqrt{-a^{13}\,c}}\right)\,\sqrt{\frac{9\,\left(225\,A^2\,c\,\sqrt{-a^{13}\,c}-49\,B^2\,a\,\sqrt{-a^{13}\,c}+210\,A\,B\,a^7\,c\right)}{4096\,a^{13}\,c}}-\frac{\frac{2\,A}{a}-\frac{11\,B\,x}{16\,a}+\frac{81\,A\,c\,x^2}{16\,a^2}-\frac{7\,B\,c\,x^3}{16\,a^2}+\frac{45\,A\,c^2\,x^4}{16\,a^3}}{a^2\,\sqrt{x}+c^2\,x^{9/2}+2\,a\,c\,x^{5/2}}","Not used",1,"2*atanh((66355200*A^2*a^10*c^4*x^(1/2)*((945*A*B)/(2048*a^6) - (2025*A^2*(-a^13*c)^(1/2))/(4096*a^13) + (441*B^2*(-a^13*c)^(1/2))/(4096*a^12*c))^(1/2))/(46656000*A^3*a^7*c^4 - 4741632*B^3*a^2*c^2*(-a^13*c)^(1/2) - 10160640*A*B^2*a^8*c^3 + 21772800*A^2*B*a*c^3*(-a^13*c)^(1/2)) - (14450688*B^2*a^11*c^3*x^(1/2)*((945*A*B)/(2048*a^6) - (2025*A^2*(-a^13*c)^(1/2))/(4096*a^13) + (441*B^2*(-a^13*c)^(1/2))/(4096*a^12*c))^(1/2))/(46656000*A^3*a^7*c^4 - 4741632*B^3*a^2*c^2*(-a^13*c)^(1/2) - 10160640*A*B^2*a^8*c^3 + 21772800*A^2*B*a*c^3*(-a^13*c)^(1/2)))*((9*(49*B^2*a*(-a^13*c)^(1/2) - 225*A^2*c*(-a^13*c)^(1/2) + 210*A*B*a^7*c))/(4096*a^13*c))^(1/2) + 2*atanh((66355200*A^2*a^10*c^4*x^(1/2)*((2025*A^2*(-a^13*c)^(1/2))/(4096*a^13) + (945*A*B)/(2048*a^6) - (441*B^2*(-a^13*c)^(1/2))/(4096*a^12*c))^(1/2))/(46656000*A^3*a^7*c^4 + 4741632*B^3*a^2*c^2*(-a^13*c)^(1/2) - 10160640*A*B^2*a^8*c^3 - 21772800*A^2*B*a*c^3*(-a^13*c)^(1/2)) - (14450688*B^2*a^11*c^3*x^(1/2)*((2025*A^2*(-a^13*c)^(1/2))/(4096*a^13) + (945*A*B)/(2048*a^6) - (441*B^2*(-a^13*c)^(1/2))/(4096*a^12*c))^(1/2))/(46656000*A^3*a^7*c^4 + 4741632*B^3*a^2*c^2*(-a^13*c)^(1/2) - 10160640*A*B^2*a^8*c^3 - 21772800*A^2*B*a*c^3*(-a^13*c)^(1/2)))*((9*(225*A^2*c*(-a^13*c)^(1/2) - 49*B^2*a*(-a^13*c)^(1/2) + 210*A*B*a^7*c))/(4096*a^13*c))^(1/2) - ((2*A)/a - (11*B*x)/(16*a) + (81*A*c*x^2)/(16*a^2) - (7*B*c*x^3)/(16*a^2) + (45*A*c^2*x^4)/(16*a^3))/(a^2*x^(1/2) + c^2*x^(9/2) + 2*a*c*x^(5/2))","B"
432,1,20,45,0.125101,"\text{Not used}","int(-(x - 1)/(x^(1/2)*(x^2 + 1)),x)","\sqrt{2}\,\mathrm{atanh}\left(\frac{8\,\sqrt{2}\,\sqrt{x}}{8\,x+8}\right)","Not used",1,"2^(1/2)*atanh((8*2^(1/2)*x^(1/2))/(8*x + 8))","B"
433,0,-1,427,0.000000,"\text{Not used}","int((e*x)^(7/2)*(a + c*x^2)^(1/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{7/2}\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(7/2)*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
434,0,-1,397,0.000000,"\text{Not used}","int((e*x)^(5/2)*(a + c*x^2)^(1/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{5/2}\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(5/2)*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
435,0,-1,363,0.000000,"\text{Not used}","int((e*x)^(3/2)*(a + c*x^2)^(1/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{3/2}\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(3/2)*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
436,0,-1,328,0.000000,"\text{Not used}","int((e*x)^(1/2)*(a + c*x^2)^(1/2)*(A + B*x),x)","\int \sqrt{e\,x}\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(1/2)*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
437,0,-1,297,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(1/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{\sqrt{e\,x}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(1/2), x)","F"
438,0,-1,300,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(3/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(3/2), x)","F"
439,0,-1,298,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(5/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(5/2), x)","F"
440,0,-1,338,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(7/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(7/2), x)","F"
441,0,-1,368,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(9/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(e*x)^(9/2), x)","F"
442,0,-1,438,0.000000,"\text{Not used}","int((e*x)^(5/2)*(a + c*x^2)^(3/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{5/2}\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(5/2)*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
443,0,-1,400,0.000000,"\text{Not used}","int((e*x)^(3/2)*(a + c*x^2)^(3/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{3/2}\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(3/2)*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
444,0,-1,366,0.000000,"\text{Not used}","int((e*x)^(1/2)*(a + c*x^2)^(3/2)*(A + B*x),x)","\int \sqrt{e\,x}\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(1/2)*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
445,0,-1,333,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(1/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{\sqrt{e\,x}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(1/2), x)","F"
446,0,-1,341,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(3/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(3/2), x)","F"
447,0,-1,341,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(5/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(5/2), x)","F"
448,0,-1,339,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(7/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(7/2), x)","F"
449,0,-1,339,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(9/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(e*x)^(9/2), x)","F"
450,0,-1,437,0.000000,"\text{Not used}","int((e*x)^(3/2)*(a + c*x^2)^(5/2)*(A + B*x),x)","\int {\left(e\,x\right)}^{3/2}\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(3/2)*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
451,0,-1,404,0.000000,"\text{Not used}","int((e*x)^(1/2)*(a + c*x^2)^(5/2)*(A + B*x),x)","\int \sqrt{e\,x}\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^(1/2)*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
452,0,-1,369,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(1/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{\sqrt{e\,x}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(1/2), x)","F"
453,0,-1,379,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(3/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(3/2), x)","F"
454,0,-1,378,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(5/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(5/2), x)","F"
455,0,-1,376,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(7/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(7/2), x)","F"
456,0,-1,377,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(9/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(9/2), x)","F"
457,0,-1,375,0.000000,"\text{Not used}","int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(11/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(e\,x\right)}^{11/2}} \,d x","Not used",1,"int(((a + c*x^2)^(5/2)*(A + B*x))/(e*x)^(11/2), x)","F"
458,0,-1,388,0.000000,"\text{Not used}","int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(e\,x\right)}^{7/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
459,0,-1,356,0.000000,"\text{Not used}","int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(e\,x\right)}^{5/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
460,0,-1,326,0.000000,"\text{Not used}","int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(e\,x\right)}^{3/2}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
461,0,-1,287,0.000000,"\text{Not used}","int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{\sqrt{e\,x}\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
462,0,-1,253,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{e\,x}\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(1/2)), x)","F"
463,0,-1,293,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{3/2}\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(1/2)), x)","F"
464,0,-1,327,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{5/2}\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(1/2)), x)","F"
465,0,-1,363,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{7/2}\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(1/2)), x)","F"
466,0,-1,360,0.000000,"\text{Not used}","int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(e\,x\right)}^{7/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
467,0,-1,326,0.000000,"\text{Not used}","int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(e\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
468,0,-1,296,0.000000,"\text{Not used}","int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(e\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
469,0,-1,298,0.000000,"\text{Not used}","int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{\sqrt{e\,x}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
470,0,-1,290,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{e\,x}\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(3/2)), x)","F"
471,0,-1,327,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{3/2}\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(3/2)), x)","F"
472,0,-1,357,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{5/2}\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(3/2)), x)","F"
473,0,-1,393,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{7/2}\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(3/2)), x)","F"
474,0,-1,428,0.000000,"\text{Not used}","int(((e*x)^(13/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{13/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(13/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
475,0,-1,398,0.000000,"\text{Not used}","int(((e*x)^(11/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{11/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(11/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
476,0,-1,368,0.000000,"\text{Not used}","int(((e*x)^(9/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{9/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(9/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
477,0,-1,339,0.000000,"\text{Not used}","int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{7/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(7/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
478,0,-1,347,0.000000,"\text{Not used}","int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(5/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
479,0,-1,341,0.000000,"\text{Not used}","int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(3/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
480,0,-1,342,0.000000,"\text{Not used}","int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{\sqrt{e\,x}\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^(1/2)*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
481,0,-1,335,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{e\,x}\,{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(1/2)*(a + c*x^2)^(5/2)), x)","F"
482,0,-1,373,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{3/2}\,{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(3/2)*(a + c*x^2)^(5/2)), x)","F"
483,0,-1,402,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{5/2}\,{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(5/2)*(a + c*x^2)^(5/2)), x)","F"
484,0,-1,432,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{{\left(e\,x\right)}^{7/2}\,{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(7/2)*(a + c*x^2)^(5/2)), x)","F"
485,1,1075,217,1.792976,"\text{Not used}","int((e*x)^m*(a + c*x^2)^4*(A + B*x),x)","\frac{B\,a^4\,x^2\,{\left(e\,x\right)}^m\,\left(m^9+53\,m^8+1214\,m^7+15722\,m^6+126329\,m^5+649397\,m^4+2118136\,m^3+4173228\,m^2+4407120\,m+1814400\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{A\,c^4\,x^9\,{\left(e\,x\right)}^m\,\left(m^9+46\,m^8+906\,m^7+9996\,m^6+67809\,m^5+291774\,m^4+790964\,m^3+1290824\,m^2+1136160\,m+403200\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{B\,c^4\,x^{10}\,{\left(e\,x\right)}^m\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{A\,a^4\,x\,{\left(e\,x\right)}^m\,\left(m^9+54\,m^8+1266\,m^7+16884\,m^6+140889\,m^5+761166\,m^4+2655764\,m^3+5753736\,m^2+6999840\,m+3628800\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{4\,A\,a\,c^3\,x^7\,{\left(e\,x\right)}^m\,\left(m^9+48\,m^8+984\,m^7+11262\,m^6+78939\,m^5+349482\,m^4+970556\,m^3+1615608\,m^2+1444320\,m+518400\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{4\,A\,a^3\,c\,x^3\,{\left(e\,x\right)}^m\,\left(m^9+52\,m^8+1164\,m^7+14658\,m^6+113799\,m^5+560658\,m^4+1734956\,m^3+3204632\,m^2+3139680\,m+1209600\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{4\,B\,a\,c^3\,x^8\,{\left(e\,x\right)}^m\,\left(m^9+47\,m^8+944\,m^7+10598\,m^6+72989\,m^5+318143\,m^4+871786\,m^3+1435212\,m^2+1271880\,m+453600\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{4\,B\,a^3\,c\,x^4\,{\left(e\,x\right)}^m\,\left(m^9+51\,m^8+1116\,m^7+13686\,m^6+103029\,m^5+489939\,m^4+1457174\,m^3+2580804\,m^2+2430360\,m+907200\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{6\,A\,a^2\,c^2\,x^5\,{\left(e\,x\right)}^m\,\left(m^9+50\,m^8+1070\,m^7+12800\,m^6+93773\,m^5+433190\,m^4+1250980\,m^3+2154600\,m^2+1980576\,m+725760\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}+\frac{6\,B\,a^2\,c^2\,x^6\,{\left(e\,x\right)}^m\,\left(m^9+49\,m^8+1026\,m^7+11994\,m^6+85809\,m^5+387201\,m^4+1093724\,m^3+1847156\,m^2+1670640\,m+604800\right)}{m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800}","Not used",1,"(B*a^4*x^2*(e*x)^m*(4407120*m + 4173228*m^2 + 2118136*m^3 + 649397*m^4 + 126329*m^5 + 15722*m^6 + 1214*m^7 + 53*m^8 + m^9 + 1814400))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (A*c^4*x^9*(e*x)^m*(1136160*m + 1290824*m^2 + 790964*m^3 + 291774*m^4 + 67809*m^5 + 9996*m^6 + 906*m^7 + 46*m^8 + m^9 + 403200))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (B*c^4*x^10*(e*x)^m*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (A*a^4*x*(e*x)^m*(6999840*m + 5753736*m^2 + 2655764*m^3 + 761166*m^4 + 140889*m^5 + 16884*m^6 + 1266*m^7 + 54*m^8 + m^9 + 3628800))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (4*A*a*c^3*x^7*(e*x)^m*(1444320*m + 1615608*m^2 + 970556*m^3 + 349482*m^4 + 78939*m^5 + 11262*m^6 + 984*m^7 + 48*m^8 + m^9 + 518400))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (4*A*a^3*c*x^3*(e*x)^m*(3139680*m + 3204632*m^2 + 1734956*m^3 + 560658*m^4 + 113799*m^5 + 14658*m^6 + 1164*m^7 + 52*m^8 + m^9 + 1209600))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (4*B*a*c^3*x^8*(e*x)^m*(1271880*m + 1435212*m^2 + 871786*m^3 + 318143*m^4 + 72989*m^5 + 10598*m^6 + 944*m^7 + 47*m^8 + m^9 + 453600))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (4*B*a^3*c*x^4*(e*x)^m*(2430360*m + 2580804*m^2 + 1457174*m^3 + 489939*m^4 + 103029*m^5 + 13686*m^6 + 1116*m^7 + 51*m^8 + m^9 + 907200))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (6*A*a^2*c^2*x^5*(e*x)^m*(1980576*m + 2154600*m^2 + 1250980*m^3 + 433190*m^4 + 93773*m^5 + 12800*m^6 + 1070*m^7 + 50*m^8 + m^9 + 725760))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800) + (6*B*a^2*c^2*x^6*(e*x)^m*(1670640*m + 1847156*m^2 + 1093724*m^3 + 387201*m^4 + 85809*m^5 + 11994*m^6 + 1026*m^7 + 49*m^8 + m^9 + 604800))/(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800)","B"
486,1,695,169,1.481045,"\text{Not used}","int((e*x)^m*(a + c*x^2)^3*(A + B*x),x)","\frac{A\,a^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\,a^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{A\,c^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{B\,c^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{3\,A\,a\,c^2\,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\,a^2\,c\,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{3\,B\,a\,c^2\,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\,B\,a^2\,c\,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}","Not used",1,"(A*a^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*a^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) + (A*c^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) + (B*c^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) + (3*A*a*c^2*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*a^2*c*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) + (3*B*a*c^2*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*B*a^2*c*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)","B"
487,1,371,121,1.279522,"\text{Not used}","int((e*x)^m*(a + c*x^2)^2*(A + B*x),x)","{\left(e\,x\right)}^m\,\left(\frac{A\,a^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{B\,a^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{A\,c^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{B\,c^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{2\,A\,a\,c\,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}+\frac{2\,B\,a\,c\,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}\right)","Not used",1,"(e*x)^m*((A*a^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) + (B*a^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) + (A*c^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) + (B*c^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) + (2*A*a*c*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) + (2*B*a*c*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))","B"
488,1,161,73,1.145834,"\text{Not used}","int((e*x)^m*(a + c*x^2)*(A + B*x),x)","{\left(e\,x\right)}^m\,\left(\frac{A\,a\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{B\,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{A\,c\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{B\,c\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"(e*x)^m*((A*a*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (B*a*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (A*c*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (B*c*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
489,0,-1,91,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{c\,x^2+a} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2), x)","F"
490,0,-1,91,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2)^2,x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^2} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2)^2, x)","F"
491,0,-1,91,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2)^3,x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^3} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2)^3, x)","F"
492,0,-1,145,0.000000,"\text{Not used}","int((e*x)^m*(a + c*x^2)^(5/2)*(A + B*x),x)","\int {\left(e\,x\right)}^m\,{\left(c\,x^2+a\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^m*(a + c*x^2)^(5/2)*(A + B*x), x)","F"
493,0,-1,141,0.000000,"\text{Not used}","int((e*x)^m*(a + c*x^2)^(3/2)*(A + B*x),x)","\int {\left(e\,x\right)}^m\,{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^m*(a + c*x^2)^(3/2)*(A + B*x), x)","F"
494,0,-1,139,0.000000,"\text{Not used}","int((e*x)^m*(a + c*x^2)^(1/2)*(A + B*x),x)","\int {\left(e\,x\right)}^m\,\sqrt{c\,x^2+a}\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^m*(a + c*x^2)^(1/2)*(A + B*x), x)","F"
495,0,-1,139,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2)^(1/2), x)","F"
496,0,-1,145,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2)^(3/2), x)","F"
497,0,-1,145,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + c*x^2)^(5/2), x)","F"
498,0,-1,70,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/(a^2*x^2 - 1)^2,x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int((x^m*(a*x + 1))/(a^2*x^2 - 1)^2, x)","F"
499,0,-1,70,0.000000,"\text{Not used}","int(x^m/((a*x - 1)^2*(a*x + 1)),x)","\int \frac{x^m}{{\left(a\,x-1\right)}^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(x^m/((a*x - 1)^2*(a*x + 1)), x)","F"
500,0,-1,70,0.000000,"\text{Not used}","int(x^m/(a^2*x^2 - 1)^2 + (a*x^(m + 1))/(a^2*x^2 - 1)^2,x)","\int \frac{x^m}{{\left(a^2\,x^2-1\right)}^2}+\frac{a\,x^{m+1}}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int(x^m/(a^2*x^2 - 1)^2 + (a*x^(m + 1))/(a^2*x^2 - 1)^2, x)","F"
501,0,-1,70,0.000000,"\text{Not used}","int(x^m/((a^2*x^2 - 1)*(a*x - 1)),x)","\int \frac{x^m}{\left(a^2\,x^2-1\right)\,\left(a\,x-1\right)} \,d x","Not used",1,"int(x^m/((a^2*x^2 - 1)*(a*x - 1)), x)","F"
502,0,-1,135,0.000000,"\text{Not used}","int((e*x)^m*(a + c*x^2)^p*(A + B*x),x)","\int {\left(e\,x\right)}^m\,{\left(c\,x^2+a\right)}^p\,\left(A+B\,x\right) \,d x","Not used",1,"int((e*x)^m*(a + c*x^2)^p*(A + B*x), x)","F"
503,0,-1,100,0.000000,"\text{Not used}","int(x^3*(a + c*x^2)^p*(d + e*x),x)","\int x^3\,{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right) \,d x","Not used",1,"int(x^3*(a + c*x^2)^p*(d + e*x), x)","F"
504,0,-1,100,0.000000,"\text{Not used}","int(x^2*(a + c*x^2)^p*(d + e*x),x)","\int x^2\,{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right) \,d x","Not used",1,"int(x^2*(a + c*x^2)^p*(d + e*x), x)","F"
505,0,-1,75,0.000000,"\text{Not used}","int(x*(a + c*x^2)^p*(d + e*x),x)","\int x\,{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right) \,d x","Not used",1,"int(x*(a + c*x^2)^p*(d + e*x), x)","F"
506,1,65,70,1.703192,"\text{Not used}","int((a + c*x^2)^p*(d + e*x),x)","\frac{e\,{\left(c\,x^2+a\right)}^{p+1}}{2\,c\,\left(p+1\right)}+\frac{d\,x\,{\left(c\,x^2+a\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},-p;\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^p}","Not used",1,"(e*(a + c*x^2)^(p + 1))/(2*c*(p + 1)) + (d*x*(a + c*x^2)^p*hypergeom([1/2, -p], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^p","B"
507,0,-1,88,0.000000,"\text{Not used}","int(((a + c*x^2)^p*(d + e*x))/x,x)","\int \frac{{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right)}{x} \,d x","Not used",1,"int(((a + c*x^2)^p*(d + e*x))/x, x)","F"
508,0,-1,91,0.000000,"\text{Not used}","int(((a + c*x^2)^p*(d + e*x))/x^2,x)","\int \frac{{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right)}{x^2} \,d x","Not used",1,"int(((a + c*x^2)^p*(d + e*x))/x^2, x)","F"
509,0,-1,92,0.000000,"\text{Not used}","int(((a + c*x^2)^p*(d + e*x))/x^3,x)","\int \frac{{\left(c\,x^2+a\right)}^p\,\left(d+e\,x\right)}{x^3} \,d x","Not used",1,"int(((a + c*x^2)^p*(d + e*x))/x^3, x)","F"
510,1,51,55,1.064486,"\text{Not used}","int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
511,1,51,55,0.045163,"\text{Not used}","int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
512,1,51,55,0.049690,"\text{Not used}","int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
513,1,51,55,0.044194,"\text{Not used}","int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
514,1,47,38,0.043275,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
515,1,45,40,0.039579,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
516,1,46,44,0.044297,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
517,1,46,44,1.069505,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
518,1,48,49,0.053181,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
519,1,49,44,0.035759,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
520,1,51,55,0.036572,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
521,1,51,55,0.035266,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
522,1,51,55,0.035133,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
523,1,91,99,0.045707,"\text{Not used}","int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^6\,\left(\frac{B\,a^4}{6}+\frac{2\,A\,b\,a^3}{3}\right)+x^9\,\left(\frac{A\,b^4}{9}+\frac{4\,B\,a\,b^3}{9}\right)+\frac{A\,a^4\,x^5}{5}+\frac{B\,b^4\,x^{10}}{10}+\frac{2\,a^2\,b\,x^7\,\left(3\,A\,b+2\,B\,a\right)}{7}+\frac{a\,b^2\,x^8\,\left(2\,A\,b+3\,B\,a\right)}{4}","Not used",1,"x^6*((B*a^4)/6 + (2*A*a^3*b)/3) + x^9*((A*b^4)/9 + (4*B*a*b^3)/9) + (A*a^4*x^5)/5 + (B*b^4*x^10)/10 + (2*a^2*b*x^7*(3*A*b + 2*B*a))/7 + (a*b^2*x^8*(2*A*b + 3*B*a))/4","B"
524,1,91,99,1.043769,"\text{Not used}","int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^5\,\left(\frac{B\,a^4}{5}+\frac{4\,A\,b\,a^3}{5}\right)+x^8\,\left(\frac{A\,b^4}{8}+\frac{B\,a\,b^3}{2}\right)+\frac{A\,a^4\,x^4}{4}+\frac{B\,b^4\,x^9}{9}+\frac{a^2\,b\,x^6\,\left(3\,A\,b+2\,B\,a\right)}{3}+\frac{2\,a\,b^2\,x^7\,\left(2\,A\,b+3\,B\,a\right)}{7}","Not used",1,"x^5*((B*a^4)/5 + (4*A*a^3*b)/5) + x^8*((A*b^4)/8 + (B*a*b^3)/2) + (A*a^4*x^4)/4 + (B*b^4*x^9)/9 + (a^2*b*x^6*(3*A*b + 2*B*a))/3 + (2*a*b^2*x^7*(2*A*b + 3*B*a))/7","B"
525,1,90,87,0.035311,"\text{Not used}","int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^4\,\left(\frac{B\,a^4}{4}+A\,b\,a^3\right)+x^7\,\left(\frac{A\,b^4}{7}+\frac{4\,B\,a\,b^3}{7}\right)+\frac{A\,a^4\,x^3}{3}+\frac{B\,b^4\,x^8}{8}+\frac{2\,a^2\,b\,x^5\,\left(3\,A\,b+2\,B\,a\right)}{5}+\frac{a\,b^2\,x^6\,\left(2\,A\,b+3\,B\,a\right)}{3}","Not used",1,"x^4*((B*a^4)/4 + A*a^3*b) + x^7*((A*b^4)/7 + (4*B*a*b^3)/7) + (A*a^4*x^3)/3 + (B*b^4*x^8)/8 + (2*a^2*b*x^5*(3*A*b + 2*B*a))/5 + (a*b^2*x^6*(2*A*b + 3*B*a))/3","B"
526,1,91,61,0.033560,"\text{Not used}","int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^3\,\left(\frac{B\,a^4}{3}+\frac{4\,A\,b\,a^3}{3}\right)+x^6\,\left(\frac{A\,b^4}{6}+\frac{2\,B\,a\,b^3}{3}\right)+\frac{A\,a^4\,x^2}{2}+\frac{B\,b^4\,x^7}{7}+\frac{a^2\,b\,x^4\,\left(3\,A\,b+2\,B\,a\right)}{2}+\frac{2\,a\,b^2\,x^5\,\left(2\,A\,b+3\,B\,a\right)}{5}","Not used",1,"x^3*((B*a^4)/3 + (4*A*a^3*b)/3) + x^6*((A*b^4)/6 + (2*B*a*b^3)/3) + (A*a^4*x^2)/2 + (B*b^4*x^7)/7 + (a^2*b*x^4*(3*A*b + 2*B*a))/2 + (2*a*b^2*x^5*(2*A*b + 3*B*a))/5","B"
527,1,88,38,0.033947,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^2\,\left(\frac{B\,a^4}{2}+2\,A\,b\,a^3\right)+x^5\,\left(\frac{A\,b^4}{5}+\frac{4\,B\,a\,b^3}{5}\right)+\frac{B\,b^4\,x^6}{6}+A\,a^4\,x+\frac{2\,a^2\,b\,x^3\,\left(3\,A\,b+2\,B\,a\right)}{3}+\frac{a\,b^2\,x^4\,\left(2\,A\,b+3\,B\,a\right)}{2}","Not used",1,"x^2*((B*a^4)/2 + 2*A*a^3*b) + x^5*((A*b^4)/5 + (4*B*a*b^3)/5) + (B*b^4*x^6)/6 + A*a^4*x + (2*a^2*b*x^3*(3*A*b + 2*B*a))/3 + (a*b^2*x^4*(2*A*b + 3*B*a))/2","B"
528,1,84,66,0.038877,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x,x)","x\,\left(B\,a^4+4\,A\,b\,a^3\right)+x^4\,\left(\frac{A\,b^4}{4}+B\,a\,b^3\right)+\frac{B\,b^4\,x^5}{5}+A\,a^4\,\ln\left(x\right)+a^2\,b\,x^2\,\left(3\,A\,b+2\,B\,a\right)+\frac{2\,a\,b^2\,x^3\,\left(2\,A\,b+3\,B\,a\right)}{3}","Not used",1,"x*(B*a^4 + 4*A*a^3*b) + x^4*((A*b^4)/4 + B*a*b^3) + (B*b^4*x^5)/5 + A*a^4*log(x) + a^2*b*x^2*(3*A*b + 2*B*a) + (2*a*b^2*x^3*(2*A*b + 3*B*a))/3","B"
529,1,86,86,0.042356,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^2,x)","x^3\,\left(\frac{A\,b^4}{3}+\frac{4\,B\,a\,b^3}{3}\right)+\ln\left(x\right)\,\left(B\,a^4+4\,A\,b\,a^3\right)-\frac{A\,a^4}{x}+\frac{B\,b^4\,x^4}{4}+2\,a^2\,b\,x\,\left(3\,A\,b+2\,B\,a\right)+a\,b^2\,x^2\,\left(2\,A\,b+3\,B\,a\right)","Not used",1,"x^3*((A*b^4)/3 + (4*B*a*b^3)/3) + log(x)*(B*a^4 + 4*A*a^3*b) - (A*a^4)/x + (B*b^4*x^4)/4 + 2*a^2*b*x*(3*A*b + 2*B*a) + a*b^2*x^2*(2*A*b + 3*B*a)","B"
530,1,91,90,1.066841,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^3,x)","\ln\left(x\right)\,\left(4\,B\,a^3\,b+6\,A\,a^2\,b^2\right)-\frac{x\,\left(B\,a^4+4\,A\,b\,a^3\right)+\frac{A\,a^4}{2}}{x^2}+x^2\,\left(\frac{A\,b^4}{2}+2\,B\,a\,b^3\right)+\frac{B\,b^4\,x^3}{3}+2\,a\,b^2\,x\,\left(2\,A\,b+3\,B\,a\right)","Not used",1,"log(x)*(6*A*a^2*b^2 + 4*B*a^3*b) - (x*(B*a^4 + 4*A*a^3*b) + (A*a^4)/2)/x^2 + x^2*((A*b^4)/2 + 2*B*a*b^3) + (B*b^4*x^3)/3 + 2*a*b^2*x*(2*A*b + 3*B*a)","B"
531,1,94,89,1.075140,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^4,x)","x\,\left(A\,b^4+4\,B\,a\,b^3\right)+\ln\left(x\right)\,\left(6\,B\,a^2\,b^2+4\,A\,a\,b^3\right)-\frac{x\,\left(\frac{B\,a^4}{2}+2\,A\,b\,a^3\right)+\frac{A\,a^4}{3}+x^2\,\left(4\,B\,a^3\,b+6\,A\,a^2\,b^2\right)}{x^3}+\frac{B\,b^4\,x^2}{2}","Not used",1,"x*(A*b^4 + 4*B*a*b^3) + log(x)*(6*B*a^2*b^2 + 4*A*a*b^3) - (x*((B*a^4)/2 + 2*A*a^3*b) + (A*a^4)/3 + x^2*(6*A*a^2*b^2 + 4*B*a^3*b))/x^3 + (B*b^4*x^2)/2","B"
532,1,93,86,1.086037,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^5,x)","\ln\left(x\right)\,\left(A\,b^4+4\,B\,a\,b^3\right)-\frac{x\,\left(\frac{B\,a^4}{3}+\frac{4\,A\,b\,a^3}{3}\right)+\frac{A\,a^4}{4}+x^2\,\left(2\,B\,a^3\,b+3\,A\,a^2\,b^2\right)+x^3\,\left(6\,B\,a^2\,b^2+4\,A\,a\,b^3\right)}{x^4}+B\,b^4\,x","Not used",1,"log(x)*(A*b^4 + 4*B*a*b^3) - (x*((B*a^4)/3 + (4*A*a^3*b)/3) + (A*a^4)/4 + x^2*(3*A*a^2*b^2 + 2*B*a^3*b) + x^3*(6*B*a^2*b^2 + 4*A*a*b^3))/x^4 + B*b^4*x","B"
533,1,94,71,1.090449,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^6,x)","B\,b^4\,\ln\left(x\right)-\frac{x\,\left(\frac{B\,a^4}{4}+A\,b\,a^3\right)+\frac{A\,a^4}{5}+x^3\,\left(3\,B\,a^2\,b^2+2\,A\,a\,b^3\right)+x^2\,\left(\frac{4\,B\,a^3\,b}{3}+2\,A\,a^2\,b^2\right)+x^4\,\left(A\,b^4+4\,B\,a\,b^3\right)}{x^5}","Not used",1,"B*b^4*log(x) - (x*((B*a^4)/4 + A*a^3*b) + (A*a^4)/5 + x^3*(3*B*a^2*b^2 + 2*A*a*b^3) + x^2*(2*A*a^2*b^2 + (4*B*a^3*b)/3) + x^4*(A*b^4 + 4*B*a*b^3))/x^5","B"
534,1,95,44,0.051746,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^7,x)","-\frac{x\,\left(\frac{B\,a^4}{5}+\frac{4\,A\,b\,a^3}{5}\right)+\frac{A\,a^4}{6}+x^2\,\left(B\,a^3\,b+\frac{3\,A\,a^2\,b^2}{2}\right)+x^3\,\left(2\,B\,a^2\,b^2+\frac{4\,A\,a\,b^3}{3}\right)+x^4\,\left(\frac{A\,b^4}{2}+2\,B\,a\,b^3\right)+B\,b^4\,x^5}{x^6}","Not used",1,"-(x*((B*a^4)/5 + (4*A*a^3*b)/5) + (A*a^4)/6 + x^2*((3*A*a^2*b^2)/2 + B*a^3*b) + x^3*(2*B*a^2*b^2 + (4*A*a*b^3)/3) + x^4*((A*b^4)/2 + 2*B*a*b^3) + B*b^4*x^5)/x^6","B"
535,1,96,99,1.080285,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^8,x)","-\frac{x\,\left(\frac{B\,a^4}{6}+\frac{2\,A\,b\,a^3}{3}\right)+\frac{A\,a^4}{7}+x^3\,\left(\frac{3\,B\,a^2\,b^2}{2}+A\,a\,b^3\right)+x^2\,\left(\frac{4\,B\,a^3\,b}{5}+\frac{6\,A\,a^2\,b^2}{5}\right)+x^4\,\left(\frac{A\,b^4}{3}+\frac{4\,B\,a\,b^3}{3}\right)+\frac{B\,b^4\,x^5}{2}}{x^7}","Not used",1,"-(x*((B*a^4)/6 + (2*A*a^3*b)/3) + (A*a^4)/7 + x^3*((3*B*a^2*b^2)/2 + A*a*b^3) + x^2*((6*A*a^2*b^2)/5 + (4*B*a^3*b)/5) + x^4*((A*b^4)/3 + (4*B*a*b^3)/3) + (B*b^4*x^5)/2)/x^7","B"
536,1,95,99,1.072801,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^9,x)","-\frac{x\,\left(\frac{B\,a^4}{7}+\frac{4\,A\,b\,a^3}{7}\right)+\frac{A\,a^4}{8}+x^2\,\left(\frac{2\,B\,a^3\,b}{3}+A\,a^2\,b^2\right)+x^3\,\left(\frac{6\,B\,a^2\,b^2}{5}+\frac{4\,A\,a\,b^3}{5}\right)+x^4\,\left(\frac{A\,b^4}{4}+B\,a\,b^3\right)+\frac{B\,b^4\,x^5}{3}}{x^8}","Not used",1,"-(x*((B*a^4)/7 + (4*A*a^3*b)/7) + (A*a^4)/8 + x^2*(A*a^2*b^2 + (2*B*a^3*b)/3) + x^3*((6*B*a^2*b^2)/5 + (4*A*a*b^3)/5) + x^4*((A*b^4)/4 + B*a*b^3) + (B*b^4*x^5)/3)/x^8","B"
537,1,96,99,0.052601,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^10,x)","-\frac{x\,\left(\frac{B\,a^4}{8}+\frac{A\,b\,a^3}{2}\right)+\frac{A\,a^4}{9}+x^3\,\left(B\,a^2\,b^2+\frac{2\,A\,a\,b^3}{3}\right)+x^2\,\left(\frac{4\,B\,a^3\,b}{7}+\frac{6\,A\,a^2\,b^2}{7}\right)+x^4\,\left(\frac{A\,b^4}{5}+\frac{4\,B\,a\,b^3}{5}\right)+\frac{B\,b^4\,x^5}{4}}{x^9}","Not used",1,"-(x*((B*a^4)/8 + (A*a^3*b)/2) + (A*a^4)/9 + x^3*(B*a^2*b^2 + (2*A*a*b^3)/3) + x^2*((6*A*a^2*b^2)/7 + (4*B*a^3*b)/7) + x^4*((A*b^4)/5 + (4*B*a*b^3)/5) + (B*b^4*x^5)/4)/x^9","B"
538,1,97,99,1.063594,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^11,x)","-\frac{x\,\left(\frac{B\,a^4}{9}+\frac{4\,A\,b\,a^3}{9}\right)+\frac{A\,a^4}{10}+x^2\,\left(\frac{B\,a^3\,b}{2}+\frac{3\,A\,a^2\,b^2}{4}\right)+x^3\,\left(\frac{6\,B\,a^2\,b^2}{7}+\frac{4\,A\,a\,b^3}{7}\right)+x^4\,\left(\frac{A\,b^4}{6}+\frac{2\,B\,a\,b^3}{3}\right)+\frac{B\,b^4\,x^5}{5}}{x^{10}}","Not used",1,"-(x*((B*a^4)/9 + (4*A*a^3*b)/9) + (A*a^4)/10 + x^2*((3*A*a^2*b^2)/4 + (B*a^3*b)/2) + x^3*((6*B*a^2*b^2)/7 + (4*A*a*b^3)/7) + x^4*((A*b^4)/6 + (2*B*a*b^3)/3) + (B*b^4*x^5)/5)/x^10","B"
539,1,131,143,0.063992,"\text{Not used}","int(x^5*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^7\,\left(\frac{B\,a^6}{7}+\frac{6\,A\,b\,a^5}{7}\right)+x^{12}\,\left(\frac{A\,b^6}{12}+\frac{B\,a\,b^5}{2}\right)+\frac{A\,a^6\,x^6}{6}+\frac{B\,b^6\,x^{13}}{13}+\frac{5\,a^3\,b^2\,x^9\,\left(4\,A\,b+3\,B\,a\right)}{9}+\frac{a^2\,b^3\,x^{10}\,\left(3\,A\,b+4\,B\,a\right)}{2}+\frac{3\,a^4\,b\,x^8\,\left(5\,A\,b+2\,B\,a\right)}{8}+\frac{3\,a\,b^4\,x^{11}\,\left(2\,A\,b+5\,B\,a\right)}{11}","Not used",1,"x^7*((B*a^6)/7 + (6*A*a^5*b)/7) + x^12*((A*b^6)/12 + (B*a*b^5)/2) + (A*a^6*x^6)/6 + (B*b^6*x^13)/13 + (5*a^3*b^2*x^9*(4*A*b + 3*B*a))/9 + (a^2*b^3*x^10*(3*A*b + 4*B*a))/2 + (3*a^4*b*x^8*(5*A*b + 2*B*a))/8 + (3*a*b^4*x^11*(2*A*b + 5*B*a))/11","B"
540,1,130,139,1.067344,"\text{Not used}","int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^6\,\left(\frac{B\,a^6}{6}+A\,b\,a^5\right)+x^{11}\,\left(\frac{A\,b^6}{11}+\frac{6\,B\,a\,b^5}{11}\right)+\frac{A\,a^6\,x^5}{5}+\frac{B\,b^6\,x^{12}}{12}+\frac{5\,a^3\,b^2\,x^8\,\left(4\,A\,b+3\,B\,a\right)}{8}+\frac{5\,a^2\,b^3\,x^9\,\left(3\,A\,b+4\,B\,a\right)}{9}+\frac{3\,a^4\,b\,x^7\,\left(5\,A\,b+2\,B\,a\right)}{7}+\frac{3\,a\,b^4\,x^{10}\,\left(2\,A\,b+5\,B\,a\right)}{10}","Not used",1,"x^6*((B*a^6)/6 + A*a^5*b) + x^11*((A*b^6)/11 + (6*B*a*b^5)/11) + (A*a^6*x^5)/5 + (B*b^6*x^12)/12 + (5*a^3*b^2*x^8*(4*A*b + 3*B*a))/8 + (5*a^2*b^3*x^9*(3*A*b + 4*B*a))/9 + (3*a^4*b*x^7*(5*A*b + 2*B*a))/7 + (3*a*b^4*x^10*(2*A*b + 5*B*a))/10","B"
541,1,131,112,0.047951,"\text{Not used}","int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^5\,\left(\frac{B\,a^6}{5}+\frac{6\,A\,b\,a^5}{5}\right)+x^{10}\,\left(\frac{A\,b^6}{10}+\frac{3\,B\,a\,b^5}{5}\right)+\frac{A\,a^6\,x^4}{4}+\frac{B\,b^6\,x^{11}}{11}+\frac{5\,a^3\,b^2\,x^7\,\left(4\,A\,b+3\,B\,a\right)}{7}+\frac{5\,a^2\,b^3\,x^8\,\left(3\,A\,b+4\,B\,a\right)}{8}+\frac{a^4\,b\,x^6\,\left(5\,A\,b+2\,B\,a\right)}{2}+\frac{a\,b^4\,x^9\,\left(2\,A\,b+5\,B\,a\right)}{3}","Not used",1,"x^5*((B*a^6)/5 + (6*A*a^5*b)/5) + x^10*((A*b^6)/10 + (3*B*a*b^5)/5) + (A*a^6*x^4)/4 + (B*b^6*x^11)/11 + (5*a^3*b^2*x^7*(4*A*b + 3*B*a))/7 + (5*a^2*b^3*x^8*(3*A*b + 4*B*a))/8 + (a^4*b*x^6*(5*A*b + 2*B*a))/2 + (a*b^4*x^9*(2*A*b + 5*B*a))/3","B"
542,1,131,87,0.048733,"\text{Not used}","int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^4\,\left(\frac{B\,a^6}{4}+\frac{3\,A\,b\,a^5}{2}\right)+x^9\,\left(\frac{A\,b^6}{9}+\frac{2\,B\,a\,b^5}{3}\right)+\frac{A\,a^6\,x^3}{3}+\frac{B\,b^6\,x^{10}}{10}+\frac{5\,a^3\,b^2\,x^6\,\left(4\,A\,b+3\,B\,a\right)}{6}+\frac{5\,a^2\,b^3\,x^7\,\left(3\,A\,b+4\,B\,a\right)}{7}+\frac{3\,a^4\,b\,x^5\,\left(5\,A\,b+2\,B\,a\right)}{5}+\frac{3\,a\,b^4\,x^8\,\left(2\,A\,b+5\,B\,a\right)}{8}","Not used",1,"x^4*((B*a^6)/4 + (3*A*a^5*b)/2) + x^9*((A*b^6)/9 + (2*B*a*b^5)/3) + (A*a^6*x^3)/3 + (B*b^6*x^10)/10 + (5*a^3*b^2*x^6*(4*A*b + 3*B*a))/6 + (5*a^2*b^3*x^7*(3*A*b + 4*B*a))/7 + (3*a^4*b*x^5*(5*A*b + 2*B*a))/5 + (3*a*b^4*x^8*(2*A*b + 5*B*a))/8","B"
543,1,130,61,0.048042,"\text{Not used}","int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^3\,\left(\frac{B\,a^6}{3}+2\,A\,b\,a^5\right)+x^8\,\left(\frac{A\,b^6}{8}+\frac{3\,B\,a\,b^5}{4}\right)+\frac{A\,a^6\,x^2}{2}+\frac{B\,b^6\,x^9}{9}+a^3\,b^2\,x^5\,\left(4\,A\,b+3\,B\,a\right)+\frac{5\,a^2\,b^3\,x^6\,\left(3\,A\,b+4\,B\,a\right)}{6}+\frac{3\,a^4\,b\,x^4\,\left(5\,A\,b+2\,B\,a\right)}{4}+\frac{3\,a\,b^4\,x^7\,\left(2\,A\,b+5\,B\,a\right)}{7}","Not used",1,"x^3*((B*a^6)/3 + 2*A*a^5*b) + x^8*((A*b^6)/8 + (3*B*a*b^5)/4) + (A*a^6*x^2)/2 + (B*b^6*x^9)/9 + a^3*b^2*x^5*(4*A*b + 3*B*a) + (5*a^2*b^3*x^6*(3*A*b + 4*B*a))/6 + (3*a^4*b*x^4*(5*A*b + 2*B*a))/4 + (3*a*b^4*x^7*(2*A*b + 5*B*a))/7","B"
544,1,126,38,0.049597,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,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"
545,1,125,96,1.076545,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x,x)","x\,\left(B\,a^6+6\,A\,b\,a^5\right)+x^6\,\left(\frac{A\,b^6}{6}+B\,a\,b^5\right)+\frac{B\,b^6\,x^7}{7}+A\,a^6\,\ln\left(x\right)+\frac{5\,a^3\,b^2\,x^3\,\left(4\,A\,b+3\,B\,a\right)}{3}+\frac{5\,a^2\,b^3\,x^4\,\left(3\,A\,b+4\,B\,a\right)}{4}+\frac{3\,a^4\,b\,x^2\,\left(5\,A\,b+2\,B\,a\right)}{2}+\frac{3\,a\,b^4\,x^5\,\left(2\,A\,b+5\,B\,a\right)}{5}","Not used",1,"x*(B*a^6 + 6*A*a^5*b) + x^6*((A*b^6)/6 + B*a*b^5) + (B*b^6*x^7)/7 + A*a^6*log(x) + (5*a^3*b^2*x^3*(4*A*b + 3*B*a))/3 + (5*a^2*b^3*x^4*(3*A*b + 4*B*a))/4 + (3*a^4*b*x^2*(5*A*b + 2*B*a))/2 + (3*a*b^4*x^5*(2*A*b + 5*B*a))/5","B"
546,1,127,133,0.059711,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^2,x)","x^5\,\left(\frac{A\,b^6}{5}+\frac{6\,B\,a\,b^5}{5}\right)+\ln\left(x\right)\,\left(B\,a^6+6\,A\,b\,a^5\right)-\frac{A\,a^6}{x}+\frac{B\,b^6\,x^6}{6}+\frac{5\,a^3\,b^2\,x^2\,\left(4\,A\,b+3\,B\,a\right)}{2}+\frac{5\,a^2\,b^3\,x^3\,\left(3\,A\,b+4\,B\,a\right)}{3}+3\,a^4\,b\,x\,\left(5\,A\,b+2\,B\,a\right)+\frac{3\,a\,b^4\,x^4\,\left(2\,A\,b+5\,B\,a\right)}{4}","Not used",1,"x^5*((A*b^6)/5 + (6*B*a*b^5)/5) + log(x)*(B*a^6 + 6*A*a^5*b) - (A*a^6)/x + (B*b^6*x^6)/6 + (5*a^3*b^2*x^2*(4*A*b + 3*B*a))/2 + (5*a^2*b^3*x^3*(3*A*b + 4*B*a))/3 + 3*a^4*b*x*(5*A*b + 2*B*a) + (3*a*b^4*x^4*(2*A*b + 5*B*a))/4","B"
547,1,130,131,1.078009,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^3,x)","\ln\left(x\right)\,\left(6\,B\,a^5\,b+15\,A\,a^4\,b^2\right)-\frac{x\,\left(B\,a^6+6\,A\,b\,a^5\right)+\frac{A\,a^6}{2}}{x^2}+x^4\,\left(\frac{A\,b^6}{4}+\frac{3\,B\,a\,b^5}{2}\right)+\frac{B\,b^6\,x^5}{5}+\frac{5\,a^2\,b^3\,x^2\,\left(3\,A\,b+4\,B\,a\right)}{2}+5\,a^3\,b^2\,x\,\left(4\,A\,b+3\,B\,a\right)+a\,b^4\,x^3\,\left(2\,A\,b+5\,B\,a\right)","Not used",1,"log(x)*(15*A*a^4*b^2 + 6*B*a^5*b) - (x*(B*a^6 + 6*A*a^5*b) + (A*a^6)/2)/x^2 + x^4*((A*b^6)/4 + (3*B*a*b^5)/2) + (B*b^6*x^5)/5 + (5*a^2*b^3*x^2*(3*A*b + 4*B*a))/2 + 5*a^3*b^2*x*(4*A*b + 3*B*a) + a*b^4*x^3*(2*A*b + 5*B*a)","B"
548,1,135,134,0.056724,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^4,x)","x^3\,\left(\frac{A\,b^6}{3}+2\,B\,a\,b^5\right)-\frac{x\,\left(\frac{B\,a^6}{2}+3\,A\,b\,a^5\right)+\frac{A\,a^6}{3}+x^2\,\left(6\,B\,a^5\,b+15\,A\,a^4\,b^2\right)}{x^3}+\ln\left(x\right)\,\left(15\,B\,a^4\,b^2+20\,A\,a^3\,b^3\right)+\frac{B\,b^6\,x^4}{4}+5\,a^2\,b^3\,x\,\left(3\,A\,b+4\,B\,a\right)+\frac{3\,a\,b^4\,x^2\,\left(2\,A\,b+5\,B\,a\right)}{2}","Not used",1,"x^3*((A*b^6)/3 + 2*B*a*b^5) - (x*((B*a^6)/2 + 3*A*a^5*b) + (A*a^6)/3 + x^2*(15*A*a^4*b^2 + 6*B*a^5*b))/x^3 + log(x)*(20*A*a^3*b^3 + 15*B*a^4*b^2) + (B*b^6*x^4)/4 + 5*a^2*b^3*x*(3*A*b + 4*B*a) + (3*a*b^4*x^2*(2*A*b + 5*B*a))/2","B"
549,1,138,134,0.055934,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^5,x)","x^2\,\left(\frac{A\,b^6}{2}+3\,B\,a\,b^5\right)-\frac{x\,\left(\frac{B\,a^6}{3}+2\,A\,b\,a^5\right)+\frac{A\,a^6}{4}+x^2\,\left(3\,B\,a^5\,b+\frac{15\,A\,a^4\,b^2}{2}\right)+x^3\,\left(15\,B\,a^4\,b^2+20\,A\,a^3\,b^3\right)}{x^4}+\ln\left(x\right)\,\left(20\,B\,a^3\,b^3+15\,A\,a^2\,b^4\right)+\frac{B\,b^6\,x^3}{3}+3\,a\,b^4\,x\,\left(2\,A\,b+5\,B\,a\right)","Not used",1,"x^2*((A*b^6)/2 + 3*B*a*b^5) - (x*((B*a^6)/3 + 2*A*a^5*b) + (A*a^6)/4 + x^2*((15*A*a^4*b^2)/2 + 3*B*a^5*b) + x^3*(20*A*a^3*b^3 + 15*B*a^4*b^2))/x^4 + log(x)*(15*A*a^2*b^4 + 20*B*a^3*b^3) + (B*b^6*x^3)/3 + 3*a*b^4*x*(2*A*b + 5*B*a)","B"
550,1,140,131,1.086069,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^6,x)","x\,\left(A\,b^6+6\,B\,a\,b^5\right)-\frac{x\,\left(\frac{B\,a^6}{4}+\frac{3\,A\,b\,a^5}{2}\right)+\frac{A\,a^6}{5}+x^2\,\left(2\,B\,a^5\,b+5\,A\,a^4\,b^2\right)+x^3\,\left(\frac{15\,B\,a^4\,b^2}{2}+10\,A\,a^3\,b^3\right)+x^4\,\left(20\,B\,a^3\,b^3+15\,A\,a^2\,b^4\right)}{x^5}+\ln\left(x\right)\,\left(15\,B\,a^2\,b^4+6\,A\,a\,b^5\right)+\frac{B\,b^6\,x^2}{2}","Not used",1,"x*(A*b^6 + 6*B*a*b^5) - (x*((B*a^6)/4 + (3*A*a^5*b)/2) + (A*a^6)/5 + x^2*(5*A*a^4*b^2 + 2*B*a^5*b) + x^3*(10*A*a^3*b^3 + (15*B*a^4*b^2)/2) + x^4*(15*A*a^2*b^4 + 20*B*a^3*b^3))/x^5 + log(x)*(15*B*a^2*b^4 + 6*A*a*b^5) + (B*b^6*x^2)/2","B"
551,1,139,132,0.084179,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^7,x)","\ln\left(x\right)\,\left(A\,b^6+6\,B\,a\,b^5\right)-\frac{x\,\left(\frac{B\,a^6}{5}+\frac{6\,A\,b\,a^5}{5}\right)+\frac{A\,a^6}{6}+x^2\,\left(\frac{3\,B\,a^5\,b}{2}+\frac{15\,A\,a^4\,b^2}{4}\right)+x^5\,\left(15\,B\,a^2\,b^4+6\,A\,a\,b^5\right)+x^3\,\left(5\,B\,a^4\,b^2+\frac{20\,A\,a^3\,b^3}{3}\right)+x^4\,\left(10\,B\,a^3\,b^3+\frac{15\,A\,a^2\,b^4}{2}\right)}{x^6}+B\,b^6\,x","Not used",1,"log(x)*(A*b^6 + 6*B*a*b^5) - (x*((B*a^6)/5 + (6*A*a^5*b)/5) + (A*a^6)/6 + x^2*((15*A*a^4*b^2)/4 + (3*B*a^5*b)/2) + x^5*(15*B*a^2*b^4 + 6*A*a*b^5) + x^3*((20*A*a^3*b^3)/3 + 5*B*a^4*b^2) + x^4*((15*A*a^2*b^4)/2 + 10*B*a^3*b^3))/x^6 + B*b^6*x","B"
552,1,140,101,1.097384,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^8,x)","B\,b^6\,\ln\left(x\right)-\frac{x\,\left(\frac{B\,a^6}{6}+A\,b\,a^5\right)+\frac{A\,a^6}{7}+x^2\,\left(\frac{6\,B\,a^5\,b}{5}+3\,A\,a^4\,b^2\right)+x^5\,\left(\frac{15\,B\,a^2\,b^4}{2}+3\,A\,a\,b^5\right)+x^6\,\left(A\,b^6+6\,B\,a\,b^5\right)+x^3\,\left(\frac{15\,B\,a^4\,b^2}{4}+5\,A\,a^3\,b^3\right)+x^4\,\left(\frac{20\,B\,a^3\,b^3}{3}+5\,A\,a^2\,b^4\right)}{x^7}","Not used",1,"B*b^6*log(x) - (x*((B*a^6)/6 + A*a^5*b) + (A*a^6)/7 + x^2*(3*A*a^4*b^2 + (6*B*a^5*b)/5) + x^5*((15*B*a^2*b^4)/2 + 3*A*a*b^5) + x^6*(A*b^6 + 6*B*a*b^5) + x^3*(5*A*a^3*b^3 + (15*B*a^4*b^2)/4) + x^4*(5*A*a^2*b^4 + (20*B*a^3*b^3)/3))/x^7","B"
553,1,141,44,1.092682,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^9,x)","-\frac{x\,\left(\frac{B\,a^6}{7}+\frac{6\,A\,b\,a^5}{7}\right)+\frac{A\,a^6}{8}+x^2\,\left(B\,a^5\,b+\frac{5\,A\,a^4\,b^2}{2}\right)+x^5\,\left(5\,B\,a^2\,b^4+2\,A\,a\,b^5\right)+x^6\,\left(\frac{A\,b^6}{2}+3\,B\,a\,b^5\right)+x^3\,\left(3\,B\,a^4\,b^2+4\,A\,a^3\,b^3\right)+x^4\,\left(5\,B\,a^3\,b^3+\frac{15\,A\,a^2\,b^4}{4}\right)+B\,b^6\,x^7}{x^8}","Not used",1,"-(x*((B*a^6)/7 + (6*A*a^5*b)/7) + (A*a^6)/8 + x^2*((5*A*a^4*b^2)/2 + B*a^5*b) + x^5*(5*B*a^2*b^4 + 2*A*a*b^5) + x^6*((A*b^6)/2 + 3*B*a*b^5) + x^3*(4*A*a^3*b^3 + 3*B*a^4*b^2) + x^4*((15*A*a^2*b^4)/4 + 5*B*a^3*b^3) + B*b^6*x^7)/x^8","B"
554,1,143,72,0.074140,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^10,x)","-\frac{x\,\left(\frac{B\,a^6}{8}+\frac{3\,A\,b\,a^5}{4}\right)+\frac{A\,a^6}{9}+x^5\,\left(\frac{15\,B\,a^2\,b^4}{4}+\frac{3\,A\,a\,b^5}{2}\right)+x^2\,\left(\frac{6\,B\,a^5\,b}{7}+\frac{15\,A\,a^4\,b^2}{7}\right)+x^6\,\left(\frac{A\,b^6}{3}+2\,B\,a\,b^5\right)+x^4\,\left(4\,B\,a^3\,b^3+3\,A\,a^2\,b^4\right)+x^3\,\left(\frac{5\,B\,a^4\,b^2}{2}+\frac{10\,A\,a^3\,b^3}{3}\right)+\frac{B\,b^6\,x^7}{2}}{x^9}","Not used",1,"-(x*((B*a^6)/8 + (3*A*a^5*b)/4) + (A*a^6)/9 + x^5*((15*B*a^2*b^4)/4 + (3*A*a*b^5)/2) + x^2*((15*A*a^4*b^2)/7 + (6*B*a^5*b)/7) + x^6*((A*b^6)/3 + 2*B*a*b^5) + x^4*(3*A*a^2*b^4 + 4*B*a^3*b^3) + x^3*((10*A*a^3*b^3)/3 + (5*B*a^4*b^2)/2) + (B*b^6*x^7)/2)/x^9","B"
555,1,143,143,0.072377,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^11,x)","-\frac{x\,\left(\frac{B\,a^6}{9}+\frac{2\,A\,b\,a^5}{3}\right)+\frac{A\,a^6}{10}+x^5\,\left(3\,B\,a^2\,b^4+\frac{6\,A\,a\,b^5}{5}\right)+x^2\,\left(\frac{3\,B\,a^5\,b}{4}+\frac{15\,A\,a^4\,b^2}{8}\right)+x^6\,\left(\frac{A\,b^6}{4}+\frac{3\,B\,a\,b^5}{2}\right)+x^4\,\left(\frac{10\,B\,a^3\,b^3}{3}+\frac{5\,A\,a^2\,b^4}{2}\right)+x^3\,\left(\frac{15\,B\,a^4\,b^2}{7}+\frac{20\,A\,a^3\,b^3}{7}\right)+\frac{B\,b^6\,x^7}{3}}{x^{10}}","Not used",1,"-(x*((B*a^6)/9 + (2*A*a^5*b)/3) + (A*a^6)/10 + x^5*(3*B*a^2*b^4 + (6*A*a*b^5)/5) + x^2*((15*A*a^4*b^2)/8 + (3*B*a^5*b)/4) + x^6*((A*b^6)/4 + (3*B*a*b^5)/2) + x^4*((5*A*a^2*b^4)/2 + (10*B*a^3*b^3)/3) + x^3*((20*A*a^3*b^3)/7 + (15*B*a^4*b^2)/7) + (B*b^6*x^7)/3)/x^10","B"
556,1,142,143,1.082740,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^12,x)","-\frac{x\,\left(\frac{B\,a^6}{10}+\frac{3\,A\,b\,a^5}{5}\right)+\frac{A\,a^6}{11}+x^5\,\left(\frac{5\,B\,a^2\,b^4}{2}+A\,a\,b^5\right)+x^2\,\left(\frac{2\,B\,a^5\,b}{3}+\frac{5\,A\,a^4\,b^2}{3}\right)+x^6\,\left(\frac{A\,b^6}{5}+\frac{6\,B\,a\,b^5}{5}\right)+x^3\,\left(\frac{15\,B\,a^4\,b^2}{8}+\frac{5\,A\,a^3\,b^3}{2}\right)+x^4\,\left(\frac{20\,B\,a^3\,b^3}{7}+\frac{15\,A\,a^2\,b^4}{7}\right)+\frac{B\,b^6\,x^7}{4}}{x^{11}}","Not used",1,"-(x*((B*a^6)/10 + (3*A*a^5*b)/5) + (A*a^6)/11 + x^5*((5*B*a^2*b^4)/2 + A*a*b^5) + x^2*((5*A*a^4*b^2)/3 + (2*B*a^5*b)/3) + x^6*((A*b^6)/5 + (6*B*a*b^5)/5) + x^3*((5*A*a^3*b^3)/2 + (15*B*a^4*b^2)/8) + x^4*((15*A*a^2*b^4)/7 + (20*B*a^3*b^3)/7) + (B*b^6*x^7)/4)/x^11","B"
557,1,142,143,0.074392,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^13,x)","-\frac{x\,\left(\frac{B\,a^6}{11}+\frac{6\,A\,b\,a^5}{11}\right)+\frac{A\,a^6}{12}+x^2\,\left(\frac{3\,B\,a^5\,b}{5}+\frac{3\,A\,a^4\,b^2}{2}\right)+x^5\,\left(\frac{15\,B\,a^2\,b^4}{7}+\frac{6\,A\,a\,b^5}{7}\right)+x^6\,\left(\frac{A\,b^6}{6}+B\,a\,b^5\right)+x^4\,\left(\frac{5\,B\,a^3\,b^3}{2}+\frac{15\,A\,a^2\,b^4}{8}\right)+x^3\,\left(\frac{5\,B\,a^4\,b^2}{3}+\frac{20\,A\,a^3\,b^3}{9}\right)+\frac{B\,b^6\,x^7}{5}}{x^{12}}","Not used",1,"-(x*((B*a^6)/11 + (6*A*a^5*b)/11) + (A*a^6)/12 + x^2*((3*A*a^4*b^2)/2 + (3*B*a^5*b)/5) + x^5*((15*B*a^2*b^4)/7 + (6*A*a*b^5)/7) + x^6*((A*b^6)/6 + B*a*b^5) + x^4*((15*A*a^2*b^4)/8 + (5*B*a^3*b^3)/2) + x^3*((20*A*a^3*b^3)/9 + (5*B*a^4*b^2)/3) + (B*b^6*x^7)/5)/x^12","B"
558,1,143,143,1.096376,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^14,x)","-\frac{x\,\left(\frac{B\,a^6}{12}+\frac{A\,b\,a^5}{2}\right)+\frac{A\,a^6}{13}+x^5\,\left(\frac{15\,B\,a^2\,b^4}{8}+\frac{3\,A\,a\,b^5}{4}\right)+x^2\,\left(\frac{6\,B\,a^5\,b}{11}+\frac{15\,A\,a^4\,b^2}{11}\right)+x^6\,\left(\frac{A\,b^6}{7}+\frac{6\,B\,a\,b^5}{7}\right)+x^3\,\left(\frac{3\,B\,a^4\,b^2}{2}+2\,A\,a^3\,b^3\right)+x^4\,\left(\frac{20\,B\,a^3\,b^3}{9}+\frac{5\,A\,a^2\,b^4}{3}\right)+\frac{B\,b^6\,x^7}{6}}{x^{13}}","Not used",1,"-(x*((B*a^6)/12 + (A*a^5*b)/2) + (A*a^6)/13 + x^5*((15*B*a^2*b^4)/8 + (3*A*a*b^5)/4) + x^2*((15*A*a^4*b^2)/11 + (6*B*a^5*b)/11) + x^6*((A*b^6)/7 + (6*B*a*b^5)/7) + x^3*(2*A*a^3*b^3 + (3*B*a^4*b^2)/2) + x^4*((5*A*a^2*b^4)/3 + (20*B*a^3*b^3)/9) + (B*b^6*x^7)/6)/x^13","B"
559,1,121,131,1.118387,"\text{Not used}","int(x^7*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{19}}{19}+\left(\frac{d}{18}+\frac{5\,e}{9}\right)\,x^{18}+\left(\frac{10\,d}{17}+\frac{45\,e}{17}\right)\,x^{17}+\left(\frac{45\,d}{16}+\frac{15\,e}{2}\right)\,x^{16}+\left(8\,d+14\,e\right)\,x^{15}+\left(15\,d+18\,e\right)\,x^{14}+\left(\frac{252\,d}{13}+\frac{210\,e}{13}\right)\,x^{13}+\left(\frac{35\,d}{2}+10\,e\right)\,x^{12}+\left(\frac{120\,d}{11}+\frac{45\,e}{11}\right)\,x^{11}+\left(\frac{9\,d}{2}+e\right)\,x^{10}+\left(\frac{10\,d}{9}+\frac{e}{9}\right)\,x^9+\frac{d\,x^8}{8}","Not used",1,"x^15*(8*d + 14*e) + x^9*((10*d)/9 + e/9) + x^14*(15*d + 18*e) + x^18*(d/18 + (5*e)/9) + x^12*((35*d)/2 + 10*e) + x^16*((45*d)/16 + (15*e)/2) + x^17*((10*d)/17 + (45*e)/17) + x^11*((120*d)/11 + (45*e)/11) + x^13*((252*d)/13 + (210*e)/13) + (d*x^8)/8 + (e*x^19)/19 + x^10*((9*d)/2 + e)","B"
560,1,123,119,0.079456,"\text{Not used}","int(x^6*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{18}}{18}+\left(\frac{d}{17}+\frac{10\,e}{17}\right)\,x^{17}+\left(\frac{5\,d}{8}+\frac{45\,e}{16}\right)\,x^{16}+\left(3\,d+8\,e\right)\,x^{15}+\left(\frac{60\,d}{7}+15\,e\right)\,x^{14}+\left(\frac{210\,d}{13}+\frac{252\,e}{13}\right)\,x^{13}+\left(21\,d+\frac{35\,e}{2}\right)\,x^{12}+\left(\frac{210\,d}{11}+\frac{120\,e}{11}\right)\,x^{11}+\left(12\,d+\frac{9\,e}{2}\right)\,x^{10}+\left(5\,d+\frac{10\,e}{9}\right)\,x^9+\left(\frac{5\,d}{4}+\frac{e}{8}\right)\,x^8+\frac{d\,x^7}{7}","Not used",1,"x^8*((5*d)/4 + e/8) + x^15*(3*d + 8*e) + x^9*(5*d + (10*e)/9) + x^10*(12*d + (9*e)/2) + x^17*(d/17 + (10*e)/17) + x^12*(21*d + (35*e)/2) + x^16*((5*d)/8 + (45*e)/16) + x^14*((60*d)/7 + 15*e) + x^11*((210*d)/11 + (120*e)/11) + x^13*((210*d)/13 + (252*e)/13) + (d*x^7)/7 + (e*x^18)/18","B"
561,1,123,99,0.078636,"\text{Not used}","int(x^5*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{17}}{17}+\left(\frac{d}{16}+\frac{5\,e}{8}\right)\,x^{16}+\left(\frac{2\,d}{3}+3\,e\right)\,x^{15}+\left(\frac{45\,d}{14}+\frac{60\,e}{7}\right)\,x^{14}+\left(\frac{120\,d}{13}+\frac{210\,e}{13}\right)\,x^{13}+\left(\frac{35\,d}{2}+21\,e\right)\,x^{12}+\left(\frac{252\,d}{11}+\frac{210\,e}{11}\right)\,x^{11}+\left(21\,d+12\,e\right)\,x^{10}+\left(\frac{40\,d}{3}+5\,e\right)\,x^9+\left(\frac{45\,d}{8}+\frac{5\,e}{4}\right)\,x^8+\left(\frac{10\,d}{7}+\frac{e}{7}\right)\,x^7+\frac{d\,x^6}{6}","Not used",1,"x^15*((2*d)/3 + 3*e) + x^7*((10*d)/7 + e/7) + x^10*(21*d + 12*e) + x^16*(d/16 + (5*e)/8) + x^9*((40*d)/3 + 5*e) + x^8*((45*d)/8 + (5*e)/4) + x^12*((35*d)/2 + 21*e) + x^14*((45*d)/14 + (60*e)/7) + x^13*((120*d)/13 + (210*e)/13) + x^11*((252*d)/11 + (210*e)/11) + (d*x^6)/6 + (e*x^17)/17","B"
562,1,123,87,0.076903,"\text{Not used}","int(x^4*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{16}}{16}+\left(\frac{d}{15}+\frac{2\,e}{3}\right)\,x^{15}+\left(\frac{5\,d}{7}+\frac{45\,e}{14}\right)\,x^{14}+\left(\frac{45\,d}{13}+\frac{120\,e}{13}\right)\,x^{13}+\left(10\,d+\frac{35\,e}{2}\right)\,x^{12}+\left(\frac{210\,d}{11}+\frac{252\,e}{11}\right)\,x^{11}+\left(\frac{126\,d}{5}+21\,e\right)\,x^{10}+\left(\frac{70\,d}{3}+\frac{40\,e}{3}\right)\,x^9+\left(15\,d+\frac{45\,e}{8}\right)\,x^8+\left(\frac{45\,d}{7}+\frac{10\,e}{7}\right)\,x^7+\left(\frac{5\,d}{3}+\frac{e}{6}\right)\,x^6+\frac{d\,x^5}{5}","Not used",1,"x^6*((5*d)/3 + e/6) + x^15*(d/15 + (2*e)/3) + x^12*(10*d + (35*e)/2) + x^7*((45*d)/7 + (10*e)/7) + x^8*(15*d + (45*e)/8) + x^14*((5*d)/7 + (45*e)/14) + x^9*((70*d)/3 + (40*e)/3) + x^10*((126*d)/5 + 21*e) + x^13*((45*d)/13 + (120*e)/13) + x^11*((210*d)/11 + (252*e)/11) + (d*x^5)/5 + (e*x^16)/16","B"
563,1,123,69,0.080121,"\text{Not used}","int(x^3*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{15}}{15}+\left(\frac{d}{14}+\frac{5\,e}{7}\right)\,x^{14}+\left(\frac{10\,d}{13}+\frac{45\,e}{13}\right)\,x^{13}+\left(\frac{15\,d}{4}+10\,e\right)\,x^{12}+\left(\frac{120\,d}{11}+\frac{210\,e}{11}\right)\,x^{11}+\left(21\,d+\frac{126\,e}{5}\right)\,x^{10}+\left(28\,d+\frac{70\,e}{3}\right)\,x^9+\left(\frac{105\,d}{4}+15\,e\right)\,x^8+\left(\frac{120\,d}{7}+\frac{45\,e}{7}\right)\,x^7+\left(\frac{15\,d}{2}+\frac{5\,e}{3}\right)\,x^6+\left(2\,d+\frac{e}{5}\right)\,x^5+\frac{d\,x^4}{4}","Not used",1,"x^5*(2*d + e/5) + x^6*((15*d)/2 + (5*e)/3) + x^12*((15*d)/4 + 10*e) + x^14*(d/14 + (5*e)/7) + x^13*((10*d)/13 + (45*e)/13) + x^9*(28*d + (70*e)/3) + x^8*((105*d)/4 + 15*e) + x^10*(21*d + (126*e)/5) + x^7*((120*d)/7 + (45*e)/7) + x^11*((120*d)/11 + (210*e)/11) + (d*x^4)/4 + (e*x^15)/15","B"
564,1,123,55,0.081209,"\text{Not used}","int(x^2*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{14}}{14}+\left(\frac{d}{13}+\frac{10\,e}{13}\right)\,x^{13}+\left(\frac{5\,d}{6}+\frac{15\,e}{4}\right)\,x^{12}+\left(\frac{45\,d}{11}+\frac{120\,e}{11}\right)\,x^{11}+\left(12\,d+21\,e\right)\,x^{10}+\left(\frac{70\,d}{3}+28\,e\right)\,x^9+\left(\frac{63\,d}{2}+\frac{105\,e}{4}\right)\,x^8+\left(30\,d+\frac{120\,e}{7}\right)\,x^7+\left(20\,d+\frac{15\,e}{2}\right)\,x^6+\left(9\,d+2\,e\right)\,x^5+\left(\frac{5\,d}{2}+\frac{e}{4}\right)\,x^4+\frac{d\,x^3}{3}","Not used",1,"x^4*((5*d)/2 + e/4) + x^5*(9*d + 2*e) + x^12*((5*d)/6 + (15*e)/4) + x^6*(20*d + (15*e)/2) + x^10*(12*d + 21*e) + x^13*(d/13 + (10*e)/13) + x^9*((70*d)/3 + 28*e) + x^7*(30*d + (120*e)/7) + x^8*((63*d)/2 + (105*e)/4) + x^11*((45*d)/11 + (120*e)/11) + (d*x^3)/3 + (e*x^14)/14","B"
565,1,123,39,0.082206,"\text{Not used}","int(x*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{13}}{13}+\left(\frac{d}{12}+\frac{5\,e}{6}\right)\,x^{12}+\left(\frac{10\,d}{11}+\frac{45\,e}{11}\right)\,x^{11}+\left(\frac{9\,d}{2}+12\,e\right)\,x^{10}+\left(\frac{40\,d}{3}+\frac{70\,e}{3}\right)\,x^9+\left(\frac{105\,d}{4}+\frac{63\,e}{2}\right)\,x^8+\left(36\,d+30\,e\right)\,x^7+\left(35\,d+20\,e\right)\,x^6+\left(24\,d+9\,e\right)\,x^5+\left(\frac{45\,d}{4}+\frac{5\,e}{2}\right)\,x^4+\left(\frac{10\,d}{3}+\frac{e}{3}\right)\,x^3+\frac{d\,x^2}{2}","Not used",1,"x^3*((10*d)/3 + e/3) + x^10*((9*d)/2 + 12*e) + x^12*(d/12 + (5*e)/6) + x^5*(24*d + 9*e) + x^4*((45*d)/4 + (5*e)/2) + x^6*(35*d + 20*e) + x^7*(36*d + 30*e) + x^11*((10*d)/11 + (45*e)/11) + x^9*((40*d)/3 + (70*e)/3) + x^8*((105*d)/4 + (63*e)/2) + (d*x^2)/2 + (e*x^13)/13","B"
566,1,118,25,0.080243,"\text{Not used}","int((d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^{12}}{12}+\left(\frac{d}{11}+\frac{10\,e}{11}\right)\,x^{11}+\left(d+\frac{9\,e}{2}\right)\,x^{10}+\left(5\,d+\frac{40\,e}{3}\right)\,x^9+\left(15\,d+\frac{105\,e}{4}\right)\,x^8+\left(30\,d+36\,e\right)\,x^7+\left(42\,d+35\,e\right)\,x^6+\left(42\,d+24\,e\right)\,x^5+\left(30\,d+\frac{45\,e}{4}\right)\,x^4+\left(15\,d+\frac{10\,e}{3}\right)\,x^3+\left(5\,d+\frac{e}{2}\right)\,x^2+d\,x","Not used",1,"x^2*(5*d + e/2) + x^3*(15*d + (10*e)/3) + x^11*(d/11 + (10*e)/11) + x^9*(5*d + (40*e)/3) + x^5*(42*d + 24*e) + x^7*(30*d + 36*e) + x^4*(30*d + (45*e)/4) + x^6*(42*d + 35*e) + x^8*(15*d + (105*e)/4) + d*x + (e*x^12)/12 + x^10*(d + (9*e)/2)","B"
567,1,115,87,0.084205,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x,x)","x^9\,\left(\frac{10\,d}{9}+5\,e\right)+x^2\,\left(\frac{45\,d}{2}+5\,e\right)+x^3\,\left(40\,d+15\,e\right)+x^8\,\left(\frac{45\,d}{8}+15\,e\right)+x^6\,\left(35\,d+42\,e\right)+x^4\,\left(\frac{105\,d}{2}+30\,e\right)+x^7\,\left(\frac{120\,d}{7}+30\,e\right)+x^5\,\left(\frac{252\,d}{5}+42\,e\right)+x\,\left(10\,d+e\right)+\frac{e\,x^{11}}{11}+d\,\ln\left(x\right)+x^{10}\,\left(\frac{d}{10}+e\right)","Not used",1,"x^9*((10*d)/9 + 5*e) + x^2*((45*d)/2 + 5*e) + x^3*(40*d + 15*e) + x^8*((45*d)/8 + 15*e) + x^6*(35*d + 42*e) + x^4*((105*d)/2 + 30*e) + x^7*((120*d)/7 + 30*e) + x^5*((252*d)/5 + 42*e) + x*(10*d + e) + (e*x^11)/11 + d*log(x) + x^10*(d/10 + e)","B"
568,1,118,139,0.087139,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^2,x)","x^9\,\left(\frac{d}{9}+\frac{10\,e}{9}\right)+x^6\,\left(20\,d+35\,e\right)+x^8\,\left(\frac{5\,d}{4}+\frac{45\,e}{8}\right)+x^2\,\left(60\,d+\frac{45\,e}{2}\right)+x^3\,\left(70\,d+40\,e\right)+x^4\,\left(63\,d+\frac{105\,e}{2}\right)+x^7\,\left(\frac{45\,d}{7}+\frac{120\,e}{7}\right)+x^5\,\left(42\,d+\frac{252\,e}{5}\right)-\frac{d}{x}+\frac{e\,x^{10}}{10}+x\,\left(45\,d+10\,e\right)+\ln\left(x\right)\,\left(10\,d+e\right)","Not used",1,"x^9*(d/9 + (10*e)/9) + x^6*(20*d + 35*e) + x^8*((5*d)/4 + (45*e)/8) + x^2*(60*d + (45*e)/2) + x^3*(70*d + 40*e) + x^4*(63*d + (105*e)/2) + x^7*((45*d)/7 + (120*e)/7) + x^5*(42*d + (252*e)/5) - d/x + (e*x^10)/10 + x*(45*d + 10*e) + log(x)*(10*d + e)","B"
569,1,119,138,0.077785,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^3,x)","x^8\,\left(\frac{d}{8}+\frac{5\,e}{4}\right)+x^6\,\left(\frac{15\,d}{2}+20\,e\right)+x^5\,\left(24\,d+42\,e\right)+x^7\,\left(\frac{10\,d}{7}+\frac{45\,e}{7}\right)+x^3\,\left(84\,d+70\,e\right)+x^2\,\left(105\,d+60\,e\right)+x^4\,\left(\frac{105\,d}{2}+63\,e\right)+\ln\left(x\right)\,\left(45\,d+10\,e\right)+\frac{e\,x^9}{9}-\frac{\frac{d}{2}+x\,\left(10\,d+e\right)}{x^2}+x\,\left(120\,d+45\,e\right)","Not used",1,"x^8*(d/8 + (5*e)/4) + x^6*((15*d)/2 + 20*e) + x^5*(24*d + 42*e) + x^7*((10*d)/7 + (45*e)/7) + x^3*(84*d + 70*e) + x^2*(105*d + 60*e) + x^4*((105*d)/2 + 63*e) + log(x)*(45*d + 10*e) + (e*x^9)/9 - (d/2 + x*(10*d + e))/x^2 + x*(120*d + 45*e)","B"
570,1,121,138,0.069163,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^4,x)","x^6\,\left(\frac{5\,d}{3}+\frac{15\,e}{2}\right)+x^7\,\left(\frac{d}{7}+\frac{10\,e}{7}\right)+x^5\,\left(9\,d+24\,e\right)+x^4\,\left(30\,d+\frac{105\,e}{2}\right)+x^3\,\left(70\,d+84\,e\right)+x^2\,\left(126\,d+105\,e\right)+\ln\left(x\right)\,\left(120\,d+45\,e\right)-\frac{\left(45\,d+10\,e\right)\,x^2+\left(5\,d+\frac{e}{2}\right)\,x+\frac{d}{3}}{x^3}+\frac{e\,x^8}{8}+x\,\left(210\,d+120\,e\right)","Not used",1,"x^6*((5*d)/3 + (15*e)/2) + x^7*(d/7 + (10*e)/7) + x^5*(9*d + 24*e) + x^4*(30*d + (105*e)/2) + x^3*(70*d + 84*e) + x^2*(126*d + 105*e) + log(x)*(120*d + 45*e) - (d/3 + x^2*(45*d + 10*e) + x*(5*d + e/2))/x^3 + (e*x^8)/8 + x*(210*d + 120*e)","B"
571,1,121,137,0.063691,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^5,x)","x^5\,\left(2\,d+9\,e\right)+x^6\,\left(\frac{d}{6}+\frac{5\,e}{3}\right)+x^4\,\left(\frac{45\,d}{4}+30\,e\right)+x^3\,\left(40\,d+70\,e\right)+x^2\,\left(105\,d+126\,e\right)+\ln\left(x\right)\,\left(210\,d+120\,e\right)-\frac{\left(120\,d+45\,e\right)\,x^3+\left(\frac{45\,d}{2}+5\,e\right)\,x^2+\left(\frac{10\,d}{3}+\frac{e}{3}\right)\,x+\frac{d}{4}}{x^4}+\frac{e\,x^7}{7}+x\,\left(252\,d+210\,e\right)","Not used",1,"x^5*(2*d + 9*e) + x^6*(d/6 + (5*e)/3) + x^4*((45*d)/4 + 30*e) + x^3*(40*d + 70*e) + x^2*(105*d + 126*e) + log(x)*(210*d + 120*e) - (d/4 + x^2*((45*d)/2 + 5*e) + x^3*(120*d + 45*e) + x*((10*d)/3 + e/3))/x^4 + (e*x^7)/7 + x*(252*d + 210*e)","B"
572,1,121,140,1.081800,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^6,x)","x^5\,\left(\frac{d}{5}+2\,e\right)+x^3\,\left(15\,d+40\,e\right)+x^4\,\left(\frac{5\,d}{2}+\frac{45\,e}{4}\right)+x^2\,\left(60\,d+105\,e\right)+\ln\left(x\right)\,\left(252\,d+210\,e\right)-\frac{\left(210\,d+120\,e\right)\,x^4+\left(60\,d+\frac{45\,e}{2}\right)\,x^3+\left(15\,d+\frac{10\,e}{3}\right)\,x^2+\left(\frac{5\,d}{2}+\frac{e}{4}\right)\,x+\frac{d}{5}}{x^5}+\frac{e\,x^6}{6}+x\,\left(210\,d+252\,e\right)","Not used",1,"x^5*(d/5 + 2*e) + x^3*(15*d + 40*e) + x^4*((5*d)/2 + (45*e)/4) + x^2*(60*d + 105*e) + log(x)*(252*d + 210*e) - (d/5 + x^2*(15*d + (10*e)/3) + x^3*(60*d + (45*e)/2) + x^4*(210*d + 120*e) + x*((5*d)/2 + e/4))/x^5 + (e*x^6)/6 + x*(210*d + 252*e)","B"
573,1,121,140,1.067550,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^7,x)","x^4\,\left(\frac{d}{4}+\frac{5\,e}{2}\right)+x^3\,\left(\frac{10\,d}{3}+15\,e\right)+x^2\,\left(\frac{45\,d}{2}+60\,e\right)+\ln\left(x\right)\,\left(210\,d+252\,e\right)-\frac{\left(252\,d+210\,e\right)\,x^5+\left(105\,d+60\,e\right)\,x^4+\left(40\,d+15\,e\right)\,x^3+\left(\frac{45\,d}{4}+\frac{5\,e}{2}\right)\,x^2+\left(2\,d+\frac{e}{5}\right)\,x+\frac{d}{6}}{x^6}+\frac{e\,x^5}{5}+x\,\left(120\,d+210\,e\right)","Not used",1,"x^4*(d/4 + (5*e)/2) + x^3*((10*d)/3 + 15*e) + x^2*((45*d)/2 + 60*e) + log(x)*(210*d + 252*e) - (d/6 + x^2*((45*d)/4 + (5*e)/2) + x^3*(40*d + 15*e) + x^4*(105*d + 60*e) + x^5*(252*d + 210*e) + x*(2*d + e/5))/x^6 + (e*x^5)/5 + x*(120*d + 210*e)","B"
574,1,121,138,1.068803,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^8,x)","x^3\,\left(\frac{d}{3}+\frac{10\,e}{3}\right)+x^2\,\left(5\,d+\frac{45\,e}{2}\right)+\ln\left(x\right)\,\left(120\,d+210\,e\right)+\frac{e\,x^4}{4}-\frac{\left(210\,d+252\,e\right)\,x^6+\left(126\,d+105\,e\right)\,x^5+\left(70\,d+40\,e\right)\,x^4+\left(30\,d+\frac{45\,e}{4}\right)\,x^3+\left(9\,d+2\,e\right)\,x^2+\left(\frac{5\,d}{3}+\frac{e}{6}\right)\,x+\frac{d}{7}}{x^7}+x\,\left(45\,d+120\,e\right)","Not used",1,"x^3*(d/3 + (10*e)/3) + x^2*(5*d + (45*e)/2) + log(x)*(120*d + 210*e) + (e*x^4)/4 - (d/7 + x^2*(9*d + 2*e) + x^3*(30*d + (45*e)/4) + x^4*(70*d + 40*e) + x^5*(126*d + 105*e) + x^6*(210*d + 252*e) + x*((5*d)/3 + e/6))/x^7 + x*(45*d + 120*e)","B"
575,1,121,138,1.080095,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^9,x)","x^2\,\left(\frac{d}{2}+5\,e\right)+\ln\left(x\right)\,\left(45\,d+120\,e\right)+\frac{e\,x^3}{3}+x\,\left(10\,d+45\,e\right)-\frac{\left(120\,d+210\,e\right)\,x^7+\left(105\,d+126\,e\right)\,x^6+\left(84\,d+70\,e\right)\,x^5+\left(\frac{105\,d}{2}+30\,e\right)\,x^4+\left(24\,d+9\,e\right)\,x^3+\left(\frac{15\,d}{2}+\frac{5\,e}{3}\right)\,x^2+\left(\frac{10\,d}{7}+\frac{e}{7}\right)\,x+\frac{d}{8}}{x^8}","Not used",1,"x^2*(d/2 + 5*e) + log(x)*(45*d + 120*e) + (e*x^3)/3 + x*(10*d + 45*e) - (d/8 + x^2*((15*d)/2 + (5*e)/3) + x^3*(24*d + 9*e) + x^4*((105*d)/2 + 30*e) + x^5*(84*d + 70*e) + x^6*(105*d + 126*e) + x^7*(120*d + 210*e) + x*((10*d)/7 + e/7))/x^8","B"
576,1,119,137,0.071614,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^10,x)","\ln\left(x\right)\,\left(10\,d+45\,e\right)+x\,\left(d+10\,e\right)+\frac{e\,x^2}{2}-\frac{\left(45\,d+120\,e\right)\,x^8+\left(60\,d+105\,e\right)\,x^7+\left(70\,d+84\,e\right)\,x^6+\left(63\,d+\frac{105\,e}{2}\right)\,x^5+\left(42\,d+24\,e\right)\,x^4+\left(20\,d+\frac{15\,e}{2}\right)\,x^3+\left(\frac{45\,d}{7}+\frac{10\,e}{7}\right)\,x^2+\left(\frac{5\,d}{4}+\frac{e}{8}\right)\,x+\frac{d}{9}}{x^9}","Not used",1,"log(x)*(10*d + 45*e) + x*(d + 10*e) + (e*x^2)/2 - (d/9 + x^3*(20*d + (15*e)/2) + x^4*(42*d + 24*e) + x^2*((45*d)/7 + (10*e)/7) + x^6*(70*d + 84*e) + x^7*(60*d + 105*e) + x^8*(45*d + 120*e) + x^5*(63*d + (105*e)/2) + x*((5*d)/4 + e/8))/x^9","B"
577,1,118,138,1.093912,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^11,x)","e\,x-\frac{\left(10\,d+45\,e\right)\,x^9+\left(\frac{45\,d}{2}+60\,e\right)\,x^8+\left(40\,d+70\,e\right)\,x^7+\left(\frac{105\,d}{2}+63\,e\right)\,x^6+\left(\frac{252\,d}{5}+42\,e\right)\,x^5+\left(35\,d+20\,e\right)\,x^4+\left(\frac{120\,d}{7}+\frac{45\,e}{7}\right)\,x^3+\left(\frac{45\,d}{8}+\frac{5\,e}{4}\right)\,x^2+\left(\frac{10\,d}{9}+\frac{e}{9}\right)\,x+\frac{d}{10}}{x^{10}}+\ln\left(x\right)\,\left(d+10\,e\right)","Not used",1,"e*x - (d/10 + x^4*(35*d + 20*e) + x^2*((45*d)/8 + (5*e)/4) + x^9*(10*d + 45*e) + x^8*((45*d)/2 + 60*e) + x^7*(40*d + 70*e) + x^6*((105*d)/2 + 63*e) + x^3*((120*d)/7 + (45*e)/7) + x^5*((252*d)/5 + 42*e) + x*((10*d)/9 + e/9))/x^10 + log(x)*(d + 10*e)","B"
578,1,118,92,1.104280,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^12,x)","e\,\ln\left(x\right)-\frac{\left(d+10\,e\right)\,x^{10}+\left(5\,d+\frac{45\,e}{2}\right)\,x^9+\left(15\,d+40\,e\right)\,x^8+\left(30\,d+\frac{105\,e}{2}\right)\,x^7+\left(42\,d+\frac{252\,e}{5}\right)\,x^6+\left(42\,d+35\,e\right)\,x^5+\left(30\,d+\frac{120\,e}{7}\right)\,x^4+\left(15\,d+\frac{45\,e}{8}\right)\,x^3+\left(5\,d+\frac{10\,e}{9}\right)\,x^2+\left(d+\frac{e}{10}\right)\,x+\frac{d}{11}}{x^{11}}","Not used",1,"e*log(x) - (d/11 + x^2*(5*d + (10*e)/9) + x^9*(5*d + (45*e)/2) + x^8*(15*d + 40*e) + x^3*(15*d + (45*e)/8) + x^5*(42*d + 35*e) + x^7*(30*d + (105*e)/2) + x^4*(30*d + (120*e)/7) + x^6*(42*d + (252*e)/5) + x*(d + e/10) + x^10*(d + 10*e))/x^11","B"
579,1,120,31,0.118626,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^13,x)","-\frac{e\,x^{11}+\left(\frac{d}{2}+5\,e\right)\,x^{10}+\left(\frac{10\,d}{3}+15\,e\right)\,x^9+\left(\frac{45\,d}{4}+30\,e\right)\,x^8+\left(24\,d+42\,e\right)\,x^7+\left(35\,d+42\,e\right)\,x^6+\left(36\,d+30\,e\right)\,x^5+\left(\frac{105\,d}{4}+15\,e\right)\,x^4+\left(\frac{40\,d}{3}+5\,e\right)\,x^3+\left(\frac{9\,d}{2}+e\right)\,x^2+\left(\frac{10\,d}{11}+\frac{e}{11}\right)\,x+\frac{d}{12}}{x^{12}}","Not used",1,"-(d/12 + x^10*(d/2 + 5*e) + x^9*((10*d)/3 + 15*e) + x^3*((40*d)/3 + 5*e) + x^5*(36*d + 30*e) + x^7*(24*d + 42*e) + x^6*(35*d + 42*e) + x^8*((45*d)/4 + 30*e) + x^4*((105*d)/4 + 15*e) + e*x^11 + x*((10*d)/11 + e/11) + x^2*((9*d)/2 + e))/x^12","B"
580,1,123,52,1.136665,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^14,x)","-\frac{\frac{e\,x^{11}}{2}+\left(\frac{d}{3}+\frac{10\,e}{3}\right)\,x^{10}+\left(\frac{5\,d}{2}+\frac{45\,e}{4}\right)\,x^9+\left(9\,d+24\,e\right)\,x^8+\left(20\,d+35\,e\right)\,x^7+\left(30\,d+36\,e\right)\,x^6+\left(\frac{63\,d}{2}+\frac{105\,e}{4}\right)\,x^5+\left(\frac{70\,d}{3}+\frac{40\,e}{3}\right)\,x^4+\left(12\,d+\frac{9\,e}{2}\right)\,x^3+\left(\frac{45\,d}{11}+\frac{10\,e}{11}\right)\,x^2+\left(\frac{5\,d}{6}+\frac{e}{12}\right)\,x+\frac{d}{13}}{x^{13}}","Not used",1,"-(d/13 + x^3*(12*d + (9*e)/2) + x^10*(d/3 + (10*e)/3) + x^8*(9*d + 24*e) + x^7*(20*d + 35*e) + x^9*((5*d)/2 + (45*e)/4) + x^6*(30*d + 36*e) + x^2*((45*d)/11 + (10*e)/11) + x^4*((70*d)/3 + (40*e)/3) + x^5*((63*d)/2 + (105*e)/4) + (e*x^11)/2 + x*((5*d)/6 + e/12))/x^13","B"
581,1,123,71,0.116326,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^15,x)","-\frac{\frac{e\,x^{11}}{3}+\left(\frac{d}{4}+\frac{5\,e}{2}\right)\,x^{10}+\left(2\,d+9\,e\right)\,x^9+\left(\frac{15\,d}{2}+20\,e\right)\,x^8+\left(\frac{120\,d}{7}+30\,e\right)\,x^7+\left(\frac{105\,d}{4}+\frac{63\,e}{2}\right)\,x^6+\left(28\,d+\frac{70\,e}{3}\right)\,x^5+\left(21\,d+12\,e\right)\,x^4+\left(\frac{120\,d}{11}+\frac{45\,e}{11}\right)\,x^3+\left(\frac{15\,d}{4}+\frac{5\,e}{6}\right)\,x^2+\left(\frac{10\,d}{13}+\frac{e}{13}\right)\,x+\frac{d}{14}}{x^{14}}","Not used",1,"-(d/14 + x^9*(2*d + 9*e) + x^10*(d/4 + (5*e)/2) + x^2*((15*d)/4 + (5*e)/6) + x^4*(21*d + 12*e) + x^8*((15*d)/2 + 20*e) + x^5*(28*d + (70*e)/3) + x^7*((120*d)/7 + 30*e) + x^6*((105*d)/4 + (63*e)/2) + x^3*((120*d)/11 + (45*e)/11) + (e*x^11)/3 + x*((10*d)/13 + e/13))/x^14","B"
582,1,123,90,0.119437,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^16,x)","-\frac{\frac{e\,x^{11}}{4}+\left(\frac{d}{5}+2\,e\right)\,x^{10}+\left(\frac{5\,d}{3}+\frac{15\,e}{2}\right)\,x^9+\left(\frac{45\,d}{7}+\frac{120\,e}{7}\right)\,x^8+\left(15\,d+\frac{105\,e}{4}\right)\,x^7+\left(\frac{70\,d}{3}+28\,e\right)\,x^6+\left(\frac{126\,d}{5}+21\,e\right)\,x^5+\left(\frac{210\,d}{11}+\frac{120\,e}{11}\right)\,x^4+\left(10\,d+\frac{15\,e}{4}\right)\,x^3+\left(\frac{45\,d}{13}+\frac{10\,e}{13}\right)\,x^2+\left(\frac{5\,d}{7}+\frac{e}{14}\right)\,x+\frac{d}{15}}{x^{15}}","Not used",1,"-(d/15 + x^10*(d/5 + 2*e) + x^3*(10*d + (15*e)/4) + x^9*((5*d)/3 + (15*e)/2) + x^2*((45*d)/13 + (10*e)/13) + x^6*((70*d)/3 + 28*e) + x^7*(15*d + (105*e)/4) + x^5*((126*d)/5 + 21*e) + x^8*((45*d)/7 + (120*e)/7) + x^4*((210*d)/11 + (120*e)/11) + (e*x^11)/4 + x*((5*d)/7 + e/14))/x^15","B"
583,1,123,109,0.118571,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^17,x)","-\frac{\frac{e\,x^{11}}{5}+\left(\frac{d}{6}+\frac{5\,e}{3}\right)\,x^{10}+\left(\frac{10\,d}{7}+\frac{45\,e}{7}\right)\,x^9+\left(\frac{45\,d}{8}+15\,e\right)\,x^8+\left(\frac{40\,d}{3}+\frac{70\,e}{3}\right)\,x^7+\left(21\,d+\frac{126\,e}{5}\right)\,x^6+\left(\frac{252\,d}{11}+\frac{210\,e}{11}\right)\,x^5+\left(\frac{35\,d}{2}+10\,e\right)\,x^4+\left(\frac{120\,d}{13}+\frac{45\,e}{13}\right)\,x^3+\left(\frac{45\,d}{14}+\frac{5\,e}{7}\right)\,x^2+\left(\frac{2\,d}{3}+\frac{e}{15}\right)\,x+\frac{d}{16}}{x^{16}}","Not used",1,"-(d/16 + x^10*(d/6 + (5*e)/3) + x^4*((35*d)/2 + 10*e) + x^2*((45*d)/14 + (5*e)/7) + x^8*((45*d)/8 + 15*e) + x^9*((10*d)/7 + (45*e)/7) + x^7*((40*d)/3 + (70*e)/3) + x^6*(21*d + (126*e)/5) + x^3*((120*d)/13 + (45*e)/13) + x^5*((252*d)/11 + (210*e)/11) + (e*x^11)/5 + x*((2*d)/3 + e/15))/x^16","B"
584,1,123,128,1.129226,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^18,x)","-\frac{\frac{e\,x^{11}}{6}+\left(\frac{d}{7}+\frac{10\,e}{7}\right)\,x^{10}+\left(\frac{5\,d}{4}+\frac{45\,e}{8}\right)\,x^9+\left(5\,d+\frac{40\,e}{3}\right)\,x^8+\left(12\,d+21\,e\right)\,x^7+\left(\frac{210\,d}{11}+\frac{252\,e}{11}\right)\,x^6+\left(21\,d+\frac{35\,e}{2}\right)\,x^5+\left(\frac{210\,d}{13}+\frac{120\,e}{13}\right)\,x^4+\left(\frac{60\,d}{7}+\frac{45\,e}{14}\right)\,x^3+\left(3\,d+\frac{2\,e}{3}\right)\,x^2+\left(\frac{5\,d}{8}+\frac{e}{16}\right)\,x+\frac{d}{17}}{x^{17}}","Not used",1,"-(d/17 + x^2*(3*d + (2*e)/3) + x^10*(d/7 + (10*e)/7) + x^7*(12*d + 21*e) + x^8*(5*d + (40*e)/3) + x^5*(21*d + (35*e)/2) + x^9*((5*d)/4 + (45*e)/8) + x^3*((60*d)/7 + (45*e)/14) + x^4*((210*d)/13 + (120*e)/13) + x^6*((210*d)/11 + (252*e)/11) + (e*x^11)/6 + x*((5*d)/8 + e/16))/x^17","B"
585,1,123,151,0.116650,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^19,x)","-\frac{\frac{e\,x^{11}}{7}+\left(\frac{d}{8}+\frac{5\,e}{4}\right)\,x^{10}+\left(\frac{10\,d}{9}+5\,e\right)\,x^9+\left(\frac{9\,d}{2}+12\,e\right)\,x^8+\left(\frac{120\,d}{11}+\frac{210\,e}{11}\right)\,x^7+\left(\frac{35\,d}{2}+21\,e\right)\,x^6+\left(\frac{252\,d}{13}+\frac{210\,e}{13}\right)\,x^5+\left(15\,d+\frac{60\,e}{7}\right)\,x^4+\left(8\,d+3\,e\right)\,x^3+\left(\frac{45\,d}{16}+\frac{5\,e}{8}\right)\,x^2+\left(\frac{10\,d}{17}+\frac{e}{17}\right)\,x+\frac{d}{18}}{x^{18}}","Not used",1,"-(d/18 + x^3*(8*d + 3*e) + x^10*(d/8 + (5*e)/4) + x^8*((9*d)/2 + 12*e) + x^9*((10*d)/9 + 5*e) + x^6*((35*d)/2 + 21*e) + x^2*((45*d)/16 + (5*e)/8) + x^4*(15*d + (60*e)/7) + x^7*((120*d)/11 + (210*e)/11) + x^5*((252*d)/13 + (210*e)/13) + (e*x^11)/7 + x*((10*d)/17 + e/17))/x^18","B"
586,1,121,149,1.135390,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^20,x)","-\frac{\frac{e\,x^{11}}{8}+\left(\frac{d}{9}+\frac{10\,e}{9}\right)\,x^{10}+\left(d+\frac{9\,e}{2}\right)\,x^9+\left(\frac{45\,d}{11}+\frac{120\,e}{11}\right)\,x^8+\left(10\,d+\frac{35\,e}{2}\right)\,x^7+\left(\frac{210\,d}{13}+\frac{252\,e}{13}\right)\,x^6+\left(18\,d+15\,e\right)\,x^5+\left(14\,d+8\,e\right)\,x^4+\left(\frac{15\,d}{2}+\frac{45\,e}{16}\right)\,x^3+\left(\frac{45\,d}{17}+\frac{10\,e}{17}\right)\,x^2+\left(\frac{5\,d}{9}+\frac{e}{18}\right)\,x+\frac{d}{19}}{x^{19}}","Not used",1,"-(d/19 + x^4*(14*d + 8*e) + x^5*(18*d + 15*e) + x^10*(d/9 + (10*e)/9) + x^7*(10*d + (35*e)/2) + x^3*((15*d)/2 + (45*e)/16) + x^2*((45*d)/17 + (10*e)/17) + x^8*((45*d)/11 + (120*e)/11) + x^6*((210*d)/13 + (252*e)/13) + (e*x^11)/8 + x*((5*d)/9 + e/18) + x^9*(d + (9*e)/2))/x^19","B"
587,1,121,151,0.122671,"\text{Not used}","int(((d + e*x)*(2*x + x^2 + 1)^5)/x^21,x)","-\frac{\frac{e\,x^{11}}{9}+\left(\frac{d}{10}+e\right)\,x^{10}+\left(\frac{10\,d}{11}+\frac{45\,e}{11}\right)\,x^9+\left(\frac{15\,d}{4}+10\,e\right)\,x^8+\left(\frac{120\,d}{13}+\frac{210\,e}{13}\right)\,x^7+\left(15\,d+18\,e\right)\,x^6+\left(\frac{84\,d}{5}+14\,e\right)\,x^5+\left(\frac{105\,d}{8}+\frac{15\,e}{2}\right)\,x^4+\left(\frac{120\,d}{17}+\frac{45\,e}{17}\right)\,x^3+\left(\frac{5\,d}{2}+\frac{5\,e}{9}\right)\,x^2+\left(\frac{10\,d}{19}+\frac{e}{19}\right)\,x+\frac{d}{20}}{x^{20}}","Not used",1,"-(d/20 + x^2*((5*d)/2 + (5*e)/9) + x^8*((15*d)/4 + 10*e) + x^6*(15*d + 18*e) + x^9*((10*d)/11 + (45*e)/11) + x^5*((84*d)/5 + 14*e) + x^4*((105*d)/8 + (15*e)/2) + x^3*((120*d)/17 + (45*e)/17) + x^7*((120*d)/13 + (210*e)/13) + (e*x^11)/9 + x*((10*d)/19 + e/19) + x^10*(d/10 + e))/x^20","B"
588,1,61,83,0.060967,"\text{Not used}","int(x^11*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{23}}{23}+\frac{x^{22}}{2}+\frac{55\,x^{21}}{21}+\frac{33\,x^{20}}{4}+\frac{330\,x^{19}}{19}+\frac{77\,x^{18}}{3}+\frac{462\,x^{17}}{17}+\frac{165\,x^{16}}{8}+11\,x^{15}+\frac{55\,x^{14}}{14}+\frac{11\,x^{13}}{13}+\frac{x^{12}}{12}","Not used",1,"x^12/12 + (11*x^13)/13 + (55*x^14)/14 + 11*x^15 + (165*x^16)/8 + (462*x^17)/17 + (77*x^18)/3 + (330*x^19)/19 + (33*x^20)/4 + (55*x^21)/21 + x^22/2 + x^23/23","B"
589,1,61,83,0.060356,"\text{Not used}","int(x^10*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{22}}{22}+\frac{11\,x^{21}}{21}+\frac{11\,x^{20}}{4}+\frac{165\,x^{19}}{19}+\frac{55\,x^{18}}{3}+\frac{462\,x^{17}}{17}+\frac{231\,x^{16}}{8}+22\,x^{15}+\frac{165\,x^{14}}{14}+\frac{55\,x^{13}}{13}+\frac{11\,x^{12}}{12}+\frac{x^{11}}{11}","Not used",1,"x^11/11 + (11*x^12)/12 + (55*x^13)/13 + (165*x^14)/14 + 22*x^15 + (231*x^16)/8 + (462*x^17)/17 + (55*x^18)/3 + (165*x^19)/19 + (11*x^20)/4 + (11*x^21)/21 + x^22/22","B"
590,1,59,91,0.060543,"\text{Not used}","int(x^9*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{21}}{21}+\frac{11\,x^{20}}{20}+\frac{55\,x^{19}}{19}+\frac{55\,x^{18}}{6}+\frac{330\,x^{17}}{17}+\frac{231\,x^{16}}{8}+\frac{154\,x^{15}}{5}+\frac{165\,x^{14}}{7}+\frac{165\,x^{13}}{13}+\frac{55\,x^{12}}{12}+x^{11}+\frac{x^{10}}{10}","Not used",1,"x^10/10 + x^11 + (55*x^12)/12 + (165*x^13)/13 + (165*x^14)/7 + (154*x^15)/5 + (231*x^16)/8 + (330*x^17)/17 + (55*x^18)/6 + (55*x^19)/19 + (11*x^20)/20 + x^21/21","B"
591,1,61,80,0.059934,"\text{Not used}","int(x^8*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{20}}{20}+\frac{11\,x^{19}}{19}+\frac{55\,x^{18}}{18}+\frac{165\,x^{17}}{17}+\frac{165\,x^{16}}{8}+\frac{154\,x^{15}}{5}+33\,x^{14}+\frac{330\,x^{13}}{13}+\frac{55\,x^{12}}{4}+5\,x^{11}+\frac{11\,x^{10}}{10}+\frac{x^9}{9}","Not used",1,"x^9/9 + (11*x^10)/10 + 5*x^11 + (55*x^12)/4 + (330*x^13)/13 + 33*x^14 + (154*x^15)/5 + (165*x^16)/8 + (165*x^17)/17 + (55*x^18)/18 + (11*x^19)/19 + x^20/20","B"
592,1,61,73,0.061990,"\text{Not used}","int(x^7*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{19}}{19}+\frac{11\,x^{18}}{18}+\frac{55\,x^{17}}{17}+\frac{165\,x^{16}}{16}+22\,x^{15}+33\,x^{14}+\frac{462\,x^{13}}{13}+\frac{55\,x^{12}}{2}+15\,x^{11}+\frac{11\,x^{10}}{2}+\frac{11\,x^9}{9}+\frac{x^8}{8}","Not used",1,"x^8/8 + (11*x^9)/9 + (11*x^10)/2 + 15*x^11 + (55*x^12)/2 + (462*x^13)/13 + 33*x^14 + 22*x^15 + (165*x^16)/16 + (55*x^17)/17 + (11*x^18)/18 + x^19/19","B"
593,1,61,64,0.059754,"\text{Not used}","int(x^6*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{18}}{18}+\frac{11\,x^{17}}{17}+\frac{55\,x^{16}}{16}+11\,x^{15}+\frac{165\,x^{14}}{7}+\frac{462\,x^{13}}{13}+\frac{77\,x^{12}}{2}+30\,x^{11}+\frac{33\,x^{10}}{2}+\frac{55\,x^9}{9}+\frac{11\,x^8}{8}+\frac{x^7}{7}","Not used",1,"x^7/7 + (11*x^8)/8 + (55*x^9)/9 + (33*x^10)/2 + 30*x^11 + (77*x^12)/2 + (462*x^13)/13 + (165*x^14)/7 + 11*x^15 + (55*x^16)/16 + (11*x^17)/17 + x^18/18","B"
594,1,61,55,0.061969,"\text{Not used}","int(x^5*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{17}}{17}+\frac{11\,x^{16}}{16}+\frac{11\,x^{15}}{3}+\frac{165\,x^{14}}{14}+\frac{330\,x^{13}}{13}+\frac{77\,x^{12}}{2}+42\,x^{11}+33\,x^{10}+\frac{55\,x^9}{3}+\frac{55\,x^8}{8}+\frac{11\,x^7}{7}+\frac{x^6}{6}","Not used",1,"x^6/6 + (11*x^7)/7 + (55*x^8)/8 + (55*x^9)/3 + 33*x^10 + 42*x^11 + (77*x^12)/2 + (330*x^13)/13 + (165*x^14)/14 + (11*x^15)/3 + (11*x^16)/16 + x^17/17","B"
595,1,61,46,0.061253,"\text{Not used}","int(x^4*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{16}}{16}+\frac{11\,x^{15}}{15}+\frac{55\,x^{14}}{14}+\frac{165\,x^{13}}{13}+\frac{55\,x^{12}}{2}+42\,x^{11}+\frac{231\,x^{10}}{5}+\frac{110\,x^9}{3}+\frac{165\,x^8}{8}+\frac{55\,x^7}{7}+\frac{11\,x^6}{6}+\frac{x^5}{5}","Not used",1,"x^5/5 + (11*x^6)/6 + (55*x^7)/7 + (165*x^8)/8 + (110*x^9)/3 + (231*x^10)/5 + 42*x^11 + (55*x^12)/2 + (165*x^13)/13 + (55*x^14)/14 + (11*x^15)/15 + x^16/16","B"
596,1,61,37,0.062681,"\text{Not used}","int(x^3*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{15}}{15}+\frac{11\,x^{14}}{14}+\frac{55\,x^{13}}{13}+\frac{55\,x^{12}}{4}+30\,x^{11}+\frac{231\,x^{10}}{5}+\frac{154\,x^9}{3}+\frac{165\,x^8}{4}+\frac{165\,x^7}{7}+\frac{55\,x^6}{6}+\frac{11\,x^5}{5}+\frac{x^4}{4}","Not used",1,"x^4/4 + (11*x^5)/5 + (55*x^6)/6 + (165*x^7)/7 + (165*x^8)/4 + (154*x^9)/3 + (231*x^10)/5 + 30*x^11 + (55*x^12)/4 + (55*x^13)/13 + (11*x^14)/14 + x^15/15","B"
597,1,61,28,0.063465,"\text{Not used}","int(x^2*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{14}}{14}+\frac{11\,x^{13}}{13}+\frac{55\,x^{12}}{12}+15\,x^{11}+33\,x^{10}+\frac{154\,x^9}{3}+\frac{231\,x^8}{4}+\frac{330\,x^7}{7}+\frac{55\,x^6}{2}+11\,x^5+\frac{11\,x^4}{4}+\frac{x^3}{3}","Not used",1,"x^3/3 + (11*x^4)/4 + 11*x^5 + (55*x^6)/2 + (330*x^7)/7 + (231*x^8)/4 + (154*x^9)/3 + 33*x^10 + 15*x^11 + (55*x^12)/12 + (11*x^13)/13 + x^14/14","B"
598,1,61,19,0.061730,"\text{Not used}","int(x*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{13}}{13}+\frac{11\,x^{12}}{12}+5\,x^{11}+\frac{33\,x^{10}}{2}+\frac{110\,x^9}{3}+\frac{231\,x^8}{4}+66\,x^7+55\,x^6+33\,x^5+\frac{55\,x^4}{4}+\frac{11\,x^3}{3}+\frac{x^2}{2}","Not used",1,"x^2/2 + (11*x^3)/3 + (55*x^4)/4 + 33*x^5 + 55*x^6 + 66*x^7 + (231*x^8)/4 + (110*x^9)/3 + (33*x^10)/2 + 5*x^11 + (11*x^12)/12 + x^13/13","B"
599,1,55,9,0.059805,"\text{Not used}","int((x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^{12}}{12}+x^{11}+\frac{11\,x^{10}}{2}+\frac{55\,x^9}{3}+\frac{165\,x^8}{4}+66\,x^7+77\,x^6+66\,x^5+\frac{165\,x^4}{4}+\frac{55\,x^3}{3}+\frac{11\,x^2}{2}+x","Not used",1,"x + (11*x^2)/2 + (55*x^3)/3 + (165*x^4)/4 + 66*x^5 + 77*x^6 + 66*x^7 + (165*x^8)/4 + (55*x^9)/3 + (11*x^10)/2 + x^11 + x^12/12","B"
600,1,56,72,0.062334,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x,x)","11\,x+\ln\left(x\right)+\frac{55\,x^2}{2}+55\,x^3+\frac{165\,x^4}{2}+\frac{462\,x^5}{5}+77\,x^6+\frac{330\,x^7}{7}+\frac{165\,x^8}{8}+\frac{55\,x^9}{9}+\frac{11\,x^{10}}{10}+\frac{x^{11}}{11}","Not used",1,"11*x + log(x) + (55*x^2)/2 + 55*x^3 + (165*x^4)/2 + (462*x^5)/5 + 77*x^6 + (330*x^7)/7 + (165*x^8)/8 + (55*x^9)/9 + (11*x^10)/10 + x^11/11","B"
601,1,58,72,0.063746,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^2,x)","55\,x+11\,\ln\left(x\right)-\frac{1}{x}+\frac{165\,x^2}{2}+110\,x^3+\frac{231\,x^4}{2}+\frac{462\,x^5}{5}+55\,x^6+\frac{165\,x^7}{7}+\frac{55\,x^8}{8}+\frac{11\,x^9}{9}+\frac{x^{10}}{10}","Not used",1,"55*x + 11*log(x) - 1/x + (165*x^2)/2 + 110*x^3 + (231*x^4)/2 + (462*x^5)/5 + 55*x^6 + (165*x^7)/7 + (55*x^8)/8 + (11*x^9)/9 + x^10/10","B"
602,1,58,70,0.053651,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^3,x)","165\,x+55\,\ln\left(x\right)-\frac{11\,x+\frac{1}{2}}{x^2}+165\,x^2+154\,x^3+\frac{231\,x^4}{2}+66\,x^5+\frac{55\,x^6}{2}+\frac{55\,x^7}{7}+\frac{11\,x^8}{8}+\frac{x^9}{9}","Not used",1,"165*x + 55*log(x) - (11*x + 1/2)/x^2 + 165*x^2 + 154*x^3 + (231*x^4)/2 + 66*x^5 + (55*x^6)/2 + (55*x^7)/7 + (11*x^8)/8 + x^9/9","B"
603,1,58,70,0.042628,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^4,x)","330\,x+165\,\ln\left(x\right)-\frac{55\,x^2+\frac{11\,x}{2}+\frac{1}{3}}{x^3}+231\,x^2+154\,x^3+\frac{165\,x^4}{2}+33\,x^5+\frac{55\,x^6}{6}+\frac{11\,x^7}{7}+\frac{x^8}{8}","Not used",1,"330*x + 165*log(x) - ((11*x)/2 + 55*x^2 + 1/3)/x^3 + 231*x^2 + 154*x^3 + (165*x^4)/2 + 33*x^5 + (55*x^6)/6 + (11*x^7)/7 + x^8/8","B"
604,1,58,70,0.036136,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^5,x)","462\,x+330\,\ln\left(x\right)+231\,x^2+110\,x^3+\frac{165\,x^4}{4}+11\,x^5+\frac{11\,x^6}{6}+\frac{x^7}{7}-\frac{165\,x^3+\frac{55\,x^2}{2}+\frac{11\,x}{3}+\frac{1}{4}}{x^4}","Not used",1,"462*x + 330*log(x) + 231*x^2 + 110*x^3 + (165*x^4)/4 + 11*x^5 + (11*x^6)/6 + x^7/7 - ((11*x)/3 + (55*x^2)/2 + 165*x^3 + 1/4)/x^4","B"
605,1,58,72,0.031634,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^6,x)","462\,x+462\,\ln\left(x\right)-\frac{330\,x^4+\frac{165\,x^3}{2}+\frac{55\,x^2}{3}+\frac{11\,x}{4}+\frac{1}{5}}{x^5}+165\,x^2+55\,x^3+\frac{55\,x^4}{4}+\frac{11\,x^5}{5}+\frac{x^6}{6}","Not used",1,"462*x + 462*log(x) - ((11*x)/4 + (55*x^2)/3 + (165*x^3)/2 + 330*x^4 + 1/5)/x^5 + 165*x^2 + 55*x^3 + (55*x^4)/4 + (11*x^5)/5 + x^6/6","B"
606,1,58,72,0.029066,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^7,x)","330\,x+462\,\ln\left(x\right)-\frac{462\,x^5+165\,x^4+55\,x^3+\frac{55\,x^2}{4}+\frac{11\,x}{5}+\frac{1}{6}}{x^6}+\frac{165\,x^2}{2}+\frac{55\,x^3}{3}+\frac{11\,x^4}{4}+\frac{x^5}{5}","Not used",1,"330*x + 462*log(x) - ((11*x)/5 + (55*x^2)/4 + 55*x^3 + 165*x^4 + 462*x^5 + 1/6)/x^6 + (165*x^2)/2 + (55*x^3)/3 + (11*x^4)/4 + x^5/5","B"
607,1,58,70,0.026101,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^8,x)","165\,x+330\,\ln\left(x\right)-\frac{462\,x^6+231\,x^5+110\,x^4+\frac{165\,x^3}{4}+11\,x^2+\frac{11\,x}{6}+\frac{1}{7}}{x^7}+\frac{55\,x^2}{2}+\frac{11\,x^3}{3}+\frac{x^4}{4}","Not used",1,"165*x + 330*log(x) - ((11*x)/6 + 11*x^2 + (165*x^3)/4 + 110*x^4 + 231*x^5 + 462*x^6 + 1/7)/x^7 + (55*x^2)/2 + (11*x^3)/3 + x^4/4","B"
608,1,58,70,0.026396,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^9,x)","55\,x+165\,\ln\left(x\right)-\frac{330\,x^7+231\,x^6+154\,x^5+\frac{165\,x^4}{2}+33\,x^3+\frac{55\,x^2}{6}+\frac{11\,x}{7}+\frac{1}{8}}{x^8}+\frac{11\,x^2}{2}+\frac{x^3}{3}","Not used",1,"55*x + 165*log(x) - ((11*x)/7 + (55*x^2)/6 + 33*x^3 + (165*x^4)/2 + 154*x^5 + 231*x^6 + 330*x^7 + 1/8)/x^8 + (11*x^2)/2 + x^3/3","B"
609,1,58,70,0.031438,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^10,x)","11\,x+55\,\ln\left(x\right)+\frac{x^2}{2}-\frac{165\,x^8+165\,x^7+154\,x^6+\frac{231\,x^5}{2}+66\,x^4+\frac{55\,x^3}{2}+\frac{55\,x^2}{7}+\frac{11\,x}{8}+\frac{1}{9}}{x^9}","Not used",1,"11*x + 55*log(x) + x^2/2 - ((11*x)/8 + (55*x^2)/7 + (55*x^3)/2 + 66*x^4 + (231*x^5)/2 + 154*x^6 + 165*x^7 + 165*x^8 + 1/9)/x^9","B"
610,1,62,70,1.076114,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^11,x)","-\frac{\frac{11\,x}{9}-11\,x^{10}\,\ln\left(x\right)+\frac{55\,x^2}{8}+\frac{165\,x^3}{7}+55\,x^4+\frac{462\,x^5}{5}+\frac{231\,x^6}{2}+110\,x^7+\frac{165\,x^8}{2}+55\,x^9-x^{11}+\frac{1}{10}}{x^{10}}","Not used",1,"-((11*x)/9 - 11*x^10*log(x) + (55*x^2)/8 + (165*x^3)/7 + 55*x^4 + (462*x^5)/5 + (231*x^6)/2 + 110*x^7 + (165*x^8)/2 + 55*x^9 - x^11 + 1/10)/x^10","B"
611,1,58,74,1.083025,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^12,x)","\ln\left(x\right)-\frac{11\,x^{10}+\frac{55\,x^9}{2}+55\,x^8+\frac{165\,x^7}{2}+\frac{462\,x^6}{5}+77\,x^5+\frac{330\,x^4}{7}+\frac{165\,x^3}{8}+\frac{55\,x^2}{9}+\frac{11\,x}{10}+\frac{1}{11}}{x^{11}}","Not used",1,"log(x) - ((11*x)/10 + (55*x^2)/9 + (165*x^3)/8 + (330*x^4)/7 + 77*x^5 + (462*x^6)/5 + (165*x^7)/2 + 55*x^8 + (55*x^9)/2 + 11*x^10 + 1/11)/x^11","B"
612,1,56,12,0.029937,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^13,x)","-\frac{x^{11}+\frac{11\,x^{10}}{2}+\frac{55\,x^9}{3}+\frac{165\,x^8}{4}+66\,x^7+77\,x^6+66\,x^5+\frac{165\,x^4}{4}+\frac{55\,x^3}{3}+\frac{11\,x^2}{2}+x+\frac{1}{12}}{x^{12}}","Not used",1,"-(x + (11*x^2)/2 + (55*x^3)/3 + (165*x^4)/4 + 66*x^5 + 77*x^6 + 66*x^7 + (165*x^8)/4 + (55*x^9)/3 + (11*x^10)/2 + x^11 + 1/12)/x^12","B"
613,1,60,25,0.030642,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^14,x)","-\frac{\frac{x^{11}}{2}+\frac{11\,x^{10}}{3}+\frac{55\,x^9}{4}+33\,x^8+55\,x^7+66\,x^6+\frac{231\,x^5}{4}+\frac{110\,x^4}{3}+\frac{33\,x^3}{2}+5\,x^2+\frac{11\,x}{12}+\frac{1}{13}}{x^{13}}","Not used",1,"-((11*x)/12 + 5*x^2 + (33*x^3)/2 + (110*x^4)/3 + (231*x^5)/4 + 66*x^6 + 55*x^7 + 33*x^8 + (55*x^9)/4 + (11*x^10)/3 + x^11/2 + 1/13)/x^13","B"
614,1,60,37,1.079924,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^15,x)","-\frac{\frac{x^{11}}{3}+\frac{11\,x^{10}}{4}+11\,x^9+\frac{55\,x^8}{2}+\frac{330\,x^7}{7}+\frac{231\,x^6}{4}+\frac{154\,x^5}{3}+33\,x^4+15\,x^3+\frac{55\,x^2}{12}+\frac{11\,x}{13}+\frac{1}{14}}{x^{14}}","Not used",1,"-((11*x)/13 + (55*x^2)/12 + 15*x^3 + 33*x^4 + (154*x^5)/3 + (231*x^6)/4 + (330*x^7)/7 + (55*x^8)/2 + 11*x^9 + (11*x^10)/4 + x^11/3 + 1/14)/x^14","B"
615,1,60,49,1.065846,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^16,x)","-\frac{\frac{x^{11}}{4}+\frac{11\,x^{10}}{5}+\frac{55\,x^9}{6}+\frac{165\,x^8}{7}+\frac{165\,x^7}{4}+\frac{154\,x^6}{3}+\frac{231\,x^5}{5}+30\,x^4+\frac{55\,x^3}{4}+\frac{55\,x^2}{13}+\frac{11\,x}{14}+\frac{1}{15}}{x^{15}}","Not used",1,"-((11*x)/14 + (55*x^2)/13 + (55*x^3)/4 + 30*x^4 + (231*x^5)/5 + (154*x^6)/3 + (165*x^7)/4 + (165*x^8)/7 + (55*x^9)/6 + (11*x^10)/5 + x^11/4 + 1/15)/x^15","B"
616,1,60,61,1.053989,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^17,x)","-\frac{\frac{x^{11}}{5}+\frac{11\,x^{10}}{6}+\frac{55\,x^9}{7}+\frac{165\,x^8}{8}+\frac{110\,x^7}{3}+\frac{231\,x^6}{5}+42\,x^5+\frac{55\,x^4}{2}+\frac{165\,x^3}{13}+\frac{55\,x^2}{14}+\frac{11\,x}{15}+\frac{1}{16}}{x^{16}}","Not used",1,"-((11*x)/15 + (55*x^2)/14 + (165*x^3)/13 + (55*x^4)/2 + 42*x^5 + (231*x^6)/5 + (110*x^7)/3 + (165*x^8)/8 + (55*x^9)/7 + (11*x^10)/6 + x^11/5 + 1/16)/x^16","B"
617,1,60,73,0.032794,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^18,x)","-\frac{\frac{x^{11}}{6}+\frac{11\,x^{10}}{7}+\frac{55\,x^9}{8}+\frac{55\,x^8}{3}+33\,x^7+42\,x^6+\frac{77\,x^5}{2}+\frac{330\,x^4}{13}+\frac{165\,x^3}{14}+\frac{11\,x^2}{3}+\frac{11\,x}{16}+\frac{1}{17}}{x^{17}}","Not used",1,"-((11*x)/16 + (11*x^2)/3 + (165*x^3)/14 + (330*x^4)/13 + (77*x^5)/2 + 42*x^6 + 33*x^7 + (55*x^8)/3 + (55*x^9)/8 + (11*x^10)/7 + x^11/6 + 1/17)/x^17","B"
618,1,60,85,1.063225,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^19,x)","-\frac{\frac{x^{11}}{7}+\frac{11\,x^{10}}{8}+\frac{55\,x^9}{9}+\frac{33\,x^8}{2}+30\,x^7+\frac{77\,x^6}{2}+\frac{462\,x^5}{13}+\frac{165\,x^4}{7}+11\,x^3+\frac{55\,x^2}{16}+\frac{11\,x}{17}+\frac{1}{18}}{x^{18}}","Not used",1,"-((11*x)/17 + (55*x^2)/16 + 11*x^3 + (165*x^4)/7 + (462*x^5)/13 + (77*x^6)/2 + 30*x^7 + (33*x^8)/2 + (55*x^9)/9 + (11*x^10)/8 + x^11/7 + 1/18)/x^18","B"
619,1,60,97,0.033266,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^20,x)","-\frac{\frac{x^{11}}{8}+\frac{11\,x^{10}}{9}+\frac{11\,x^9}{2}+15\,x^8+\frac{55\,x^7}{2}+\frac{462\,x^6}{13}+33\,x^5+22\,x^4+\frac{165\,x^3}{16}+\frac{55\,x^2}{17}+\frac{11\,x}{18}+\frac{1}{19}}{x^{19}}","Not used",1,"-((11*x)/18 + (55*x^2)/17 + (165*x^3)/16 + 22*x^4 + 33*x^5 + (462*x^6)/13 + (55*x^7)/2 + 15*x^8 + (11*x^9)/2 + (11*x^10)/9 + x^11/8 + 1/19)/x^19","B"
620,1,60,81,0.033913,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^21,x)","-\frac{\frac{x^{11}}{9}+\frac{11\,x^{10}}{10}+5\,x^9+\frac{55\,x^8}{4}+\frac{330\,x^7}{13}+33\,x^6+\frac{154\,x^5}{5}+\frac{165\,x^4}{8}+\frac{165\,x^3}{17}+\frac{55\,x^2}{18}+\frac{11\,x}{19}+\frac{1}{20}}{x^{20}}","Not used",1,"-((11*x)/19 + (55*x^2)/18 + (165*x^3)/17 + (165*x^4)/8 + (154*x^5)/5 + 33*x^6 + (330*x^7)/13 + (55*x^8)/4 + 5*x^9 + (11*x^10)/10 + x^11/9 + 1/20)/x^20","B"
621,1,58,83,1.068935,"\text{Not used}","int(((x + 1)*(2*x + x^2 + 1)^5)/x^22,x)","-\frac{\frac{x^{11}}{10}+x^{10}+\frac{55\,x^9}{12}+\frac{165\,x^8}{13}+\frac{165\,x^7}{7}+\frac{154\,x^6}{5}+\frac{231\,x^5}{8}+\frac{330\,x^4}{17}+\frac{55\,x^3}{6}+\frac{55\,x^2}{19}+\frac{11\,x}{20}+\frac{1}{21}}{x^{21}}","Not used",1,"-((11*x)/20 + (55*x^2)/19 + (55*x^3)/6 + (330*x^4)/17 + (231*x^5)/8 + (154*x^6)/5 + (165*x^7)/7 + (165*x^8)/13 + (55*x^9)/12 + x^10 + x^11/10 + 1/21)/x^21","B"
622,1,279,134,1.101508,"\text{Not used}","int((x^5*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),x)","x^2\,\left(\frac{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)}{2\,b^2}\right)+x^4\,\left(\frac{A}{4\,b^2}-\frac{B\,a}{2\,b^3}\right)-x^3\,\left(\frac{2\,a\,\left(\frac{A}{b^2}-\frac{2\,B\,a}{b^3}\right)}{3\,b}+\frac{B\,a^2}{3\,b^4}\right)-x\,\left(\frac{2\,a\,\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)}{b}-\frac{a^2\,\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^2}\right)-\frac{\ln\left(a+b\,x\right)\,\left(6\,B\,a^5-5\,A\,a^4\,b\right)}{b^7}+\frac{B\,x^5}{5\,b^2}-\frac{B\,a^6-A\,a^5\,b}{b\,\left(x\,b^7+a\,b^6\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))/(2*b^2)) + x^4*(A/(4*b^2) - (B*a)/(2*b^3)) - x^3*((2*a*(A/b^2 - (2*B*a)/b^3))/(3*b) + (B*a^2)/(3*b^4)) - x*((2*a*((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))/b - (a^2*((2*a*(A/b^2 - (2*B*a)/b^3))/b + (B*a^2)/b^4))/b^2) - (log(a + b*x)*(6*B*a^5 - 5*A*a^4*b))/b^7 + (B*x^5)/(5*b^2) - (B*a^6 - A*a^5*b)/(b*(a*b^6 + b^7*x))","B"
623,1,173,113,0.056490,"\text{Not used}","int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
624,1,115,90,0.052463,"\text{Not used}","int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
625,1,77,69,0.061279,"\text{Not used}","int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
626,1,54,45,1.099631,"\text{Not used}","int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
627,1,32,32,1.079506,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x),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"
628,1,39,42,0.066265,"\text{Not used}","int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)),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"
629,1,58,65,1.123341,"\text{Not used}","int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)),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"
630,1,104,85,1.141986,"\text{Not used}","int((A + B*x)/(x^3*(a^2 + b^2*x^2 + 2*a*b*x)),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"
631,1,131,113,0.108924,"\text{Not used}","int((A + B*x)/(x^4*(a^2 + b^2*x^2 + 2*a*b*x)),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"
632,1,150,133,1.147404,"\text{Not used}","int((A + B*x)/(x^5*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{\frac{x\,\left(5\,A\,b-4\,B\,a\right)}{12\,a^2}-\frac{A}{4\,a}+\frac{b^2\,x^3\,\left(5\,A\,b-4\,B\,a\right)}{2\,a^4}+\frac{b^3\,x^4\,\left(5\,A\,b-4\,B\,a\right)}{a^5}-\frac{b\,x^2\,\left(5\,A\,b-4\,B\,a\right)}{6\,a^3}}{b\,x^5+a\,x^4}-\frac{2\,b^3\,\mathrm{atanh}\left(\frac{b^3\,\left(5\,A\,b-4\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(5\,A\,b^4-4\,B\,a\,b^3\right)}\right)\,\left(5\,A\,b-4\,B\,a\right)}{a^6}","Not used",1,"((x*(5*A*b - 4*B*a))/(12*a^2) - A/(4*a) + (b^2*x^3*(5*A*b - 4*B*a))/(2*a^4) + (b^3*x^4*(5*A*b - 4*B*a))/a^5 - (b*x^2*(5*A*b - 4*B*a))/(6*a^3))/(a*x^4 + b*x^5) - (2*b^3*atanh((b^3*(5*A*b - 4*B*a)*(a + 2*b*x))/(a*(5*A*b^4 - 4*B*a*b^3)))*(5*A*b - 4*B*a))/a^6","B"
633,1,180,143,1.113800,"\text{Not used}","int((x^5*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^2\,\left(\frac{A}{2\,b^4}-\frac{2\,B\,a}{b^5}\right)-\frac{x\,\left(27\,B\,a^5-\frac{35\,A\,a^4\,b}{2}\right)-x^2\,\left(10\,A\,a^3\,b^2-15\,B\,a^4\,b\right)+\frac{74\,B\,a^6-47\,A\,a^5\,b}{6\,b}}{a^3\,b^6+3\,a^2\,b^7\,x+3\,a\,b^8\,x^2+b^9\,x^3}-x\,\left(\frac{4\,a\,\left(\frac{A}{b^4}-\frac{4\,B\,a}{b^5}\right)}{b}+\frac{6\,B\,a^2}{b^6}\right)-\frac{\ln\left(a+b\,x\right)\,\left(20\,B\,a^3-10\,A\,a^2\,b\right)}{b^7}+\frac{B\,x^3}{3\,b^4}","Not used",1,"x^2*(A/(2*b^4) - (2*B*a)/b^5) - (x*(27*B*a^5 - (35*A*a^4*b)/2) - x^2*(10*A*a^3*b^2 - 15*B*a^4*b) + (74*B*a^6 - 47*A*a^5*b)/(6*b))/(a^3*b^6 + b^9*x^3 + 3*a^2*b^7*x + 3*a*b^8*x^2) - x*((4*a*(A/b^4 - (4*B*a)/b^5))/b + (6*B*a^2)/b^6) - (log(a + b*x)*(20*B*a^3 - 10*A*a^2*b))/b^7 + (B*x^3)/(3*b^4)","B"
634,1,141,121,0.079024,"\text{Not used}","int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x\,\left(\frac{A}{b^4}-\frac{4\,B\,a}{b^5}\right)+\frac{x\,\left(\frac{35\,B\,a^4}{2}-10\,A\,a^3\,b\right)-x^2\,\left(6\,A\,a^2\,b^2-10\,B\,a^3\,b\right)+\frac{47\,B\,a^5-26\,A\,a^4\,b}{6\,b}}{a^3\,b^5+3\,a^2\,b^6\,x+3\,a\,b^7\,x^2+b^8\,x^3}+\frac{B\,x^2}{2\,b^4}+\frac{\ln\left(a+b\,x\right)\,\left(10\,B\,a^2-4\,A\,a\,b\right)}{b^6}","Not used",1,"x*(A/b^4 - (4*B*a)/b^5) + (x*((35*B*a^4)/2 - 10*A*a^3*b) - x^2*(6*A*a^2*b^2 - 10*B*a^3*b) + (47*B*a^5 - 26*A*a^4*b)/(6*b))/(a^3*b^5 + b^8*x^3 + 3*a^2*b^6*x + 3*a*b^7*x^2) + (B*x^2)/(2*b^4) + (log(a + b*x)*(10*B*a^2 - 4*A*a*b))/b^6","B"
635,1,118,97,1.120651,"\text{Not used}","int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{B\,x}{b^4}-\frac{x\,\left(10\,B\,a^3-\frac{9\,A\,a^2\,b}{2}\right)-x^2\,\left(3\,A\,a\,b^2-6\,B\,a^2\,b\right)+\frac{26\,B\,a^4-11\,A\,a^3\,b}{6\,b}}{a^3\,b^4+3\,a^2\,b^5\,x+3\,a\,b^6\,x^2+b^7\,x^3}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-4\,B\,a\right)}{b^5}","Not used",1,"(B*x)/b^4 - (x*(10*B*a^3 - (9*A*a^2*b)/2) - x^2*(3*A*a*b^2 - 6*B*a^2*b) + (26*B*a^4 - 11*A*a^3*b)/(6*b))/(a^3*b^4 + b^7*x^3 + 3*a^2*b^5*x + 3*a*b^6*x^2) + (log(a + b*x)*(A*b - 4*B*a))/b^5","B"
636,1,96,72,0.077576,"\text{Not used}","int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{\frac{11\,B\,a^3-2\,A\,a^2\,b}{6\,b^4}-\frac{x^2\,\left(A\,b-3\,B\,a\right)}{b^2}+\frac{x\,\left(9\,B\,a^2-2\,A\,a\,b\right)}{2\,b^3}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}+\frac{B\,\ln\left(a+b\,x\right)}{b^4}","Not used",1,"((11*B*a^3 - 2*A*a^2*b)/(6*b^4) - (x^2*(A*b - 3*B*a))/b^2 + (x*(9*B*a^2 - 2*A*a*b))/(2*b^3))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x) + (B*log(a + b*x))/b^4","B"
637,1,68,59,0.040690,"\text{Not used}","int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{\frac{B\,x^2}{b}+\frac{a\,\left(A\,b+2\,B\,a\right)}{6\,b^3}+\frac{x\,\left(A\,b+2\,B\,a\right)}{2\,b^2}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((B*x^2)/b + (a*(A*b + 2*B*a))/(6*b^3) + (x*(A*b + 2*B*a))/(2*b^2))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
638,1,52,38,0.030176,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{\frac{2\,A\,b+B\,a}{6\,b^2}+\frac{B\,x}{2\,b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((2*A*b + B*a)/(6*b^2) + (B*x)/(2*b))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
639,1,84,72,1.105891,"\text{Not used}","int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{11\,A\,b-2\,B\,a}{6\,a\,b}+\frac{5\,A\,b\,x}{2\,a^2}+\frac{A\,b^2\,x^2}{a^3}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}-\frac{2\,A\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^4}","Not used",1,"((11*A*b - 2*B*a)/(6*a*b) + (5*A*b*x)/(2*a^2) + (A*b^2*x^2)/a^3)/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x) - (2*A*atanh((2*b*x)/a + 1))/a^4","B"
640,1,118,111,1.149462,"\text{Not used}","int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(4\,A\,b-B\,a\right)}{a^5}-\frac{\frac{A}{a}+\frac{11\,x\,\left(4\,A\,b-B\,a\right)}{6\,a^2}+\frac{b^2\,x^3\,\left(4\,A\,b-B\,a\right)}{a^4}+\frac{5\,b\,x^2\,\left(4\,A\,b-B\,a\right)}{2\,a^3}}{a^3\,x+3\,a^2\,b\,x^2+3\,a\,b^2\,x^3+b^3\,x^4}","Not used",1,"(2*atanh((2*b*x)/a + 1)*(4*A*b - B*a))/a^5 - (A/a + (11*x*(4*A*b - B*a))/(6*a^2) + (b^2*x^3*(4*A*b - B*a))/a^4 + (5*b*x^2*(4*A*b - B*a))/(2*a^3))/(a^3*x + b^3*x^4 + 3*a^2*b*x^2 + 3*a*b^2*x^3)","B"
641,1,168,135,1.161577,"\text{Not used}","int((A + B*x)/(x^3*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{x\,\left(5\,A\,b-2\,B\,a\right)}{2\,a^2}-\frac{A}{2\,a}+\frac{5\,b^2\,x^3\,\left(5\,A\,b-2\,B\,a\right)}{a^4}+\frac{2\,b^3\,x^4\,\left(5\,A\,b-2\,B\,a\right)}{a^5}+\frac{11\,b\,x^2\,\left(5\,A\,b-2\,B\,a\right)}{3\,a^3}}{a^3\,x^2+3\,a^2\,b\,x^3+3\,a\,b^2\,x^4+b^3\,x^5}-\frac{4\,b\,\mathrm{atanh}\left(\frac{2\,b\,\left(5\,A\,b-2\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(10\,A\,b^2-4\,B\,a\,b\right)}\right)\,\left(5\,A\,b-2\,B\,a\right)}{a^6}","Not used",1,"((x*(5*A*b - 2*B*a))/(2*a^2) - A/(2*a) + (5*b^2*x^3*(5*A*b - 2*B*a))/a^4 + (2*b^3*x^4*(5*A*b - 2*B*a))/a^5 + (11*b*x^2*(5*A*b - 2*B*a))/(3*a^3))/(a^3*x^2 + b^3*x^5 + 3*a^2*b*x^3 + 3*a*b^2*x^4) - (4*b*atanh((2*b*(5*A*b - 2*B*a)*(a + 2*b*x))/(a*(10*A*b^2 - 4*B*a*b)))*(5*A*b - 2*B*a))/a^6","B"
642,1,195,166,1.185471,"\text{Not used}","int((A + B*x)/(x^4*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{20\,b^2\,\mathrm{atanh}\left(\frac{10\,b^2\,\left(2\,A\,b-B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(20\,A\,b^3-10\,B\,a\,b^2\right)}\right)\,\left(2\,A\,b-B\,a\right)}{a^7}-\frac{\frac{A}{3\,a}-\frac{x\,\left(2\,A\,b-B\,a\right)}{2\,a^2}+\frac{55\,b^2\,x^3\,\left(2\,A\,b-B\,a\right)}{3\,a^4}+\frac{25\,b^3\,x^4\,\left(2\,A\,b-B\,a\right)}{a^5}+\frac{10\,b^4\,x^5\,\left(2\,A\,b-B\,a\right)}{a^6}+\frac{5\,b\,x^2\,\left(2\,A\,b-B\,a\right)}{2\,a^3}}{a^3\,x^3+3\,a^2\,b\,x^4+3\,a\,b^2\,x^5+b^3\,x^6}","Not used",1,"(20*b^2*atanh((10*b^2*(2*A*b - B*a)*(a + 2*b*x))/(a*(20*A*b^3 - 10*B*a*b^2)))*(2*A*b - B*a))/a^7 - (A/(3*a) - (x*(2*A*b - B*a))/(2*a^2) + (55*b^2*x^3*(2*A*b - B*a))/(3*a^4) + (25*b^3*x^4*(2*A*b - B*a))/a^5 + (10*b^4*x^5*(2*A*b - B*a))/a^6 + (5*b*x^2*(2*A*b - B*a))/(2*a^3))/(a^3*x^3 + b^3*x^6 + 3*a^2*b*x^4 + 3*a*b^2*x^5)","B"
643,1,210,171,1.162767,"\text{Not used}","int((x^6*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x\,\left(\frac{A}{b^6}-\frac{6\,B\,a}{b^7}\right)-\frac{x^2\,\left(65\,A\,a^4\,b^2-\frac{329\,B\,a^5\,b}{2}\right)-x\,\left(\frac{399\,B\,a^6}{4}-\frac{77\,A\,a^5\,b}{2}\right)-\frac{3\,\left(153\,B\,a^7-58\,A\,a^6\,b\right)}{20\,b}+x^4\,\left(15\,A\,a^2\,b^4-35\,B\,a^3\,b^3\right)+x^3\,\left(50\,A\,a^3\,b^3-\frac{245\,B\,a^4\,b^2}{2}\right)}{a^5\,b^7+5\,a^4\,b^8\,x+10\,a^3\,b^9\,x^2+10\,a^2\,b^{10}\,x^3+5\,a\,b^{11}\,x^4+b^{12}\,x^5}+\frac{B\,x^2}{2\,b^6}+\frac{\ln\left(a+b\,x\right)\,\left(21\,B\,a^2-6\,A\,a\,b\right)}{b^8}","Not used",1,"x*(A/b^6 - (6*B*a)/b^7) - (x^2*(65*A*a^4*b^2 - (329*B*a^5*b)/2) - x*((399*B*a^6)/4 - (77*A*a^5*b)/2) - (3*(153*B*a^7 - 58*A*a^6*b))/(20*b) + x^4*(15*A*a^2*b^4 - 35*B*a^3*b^3) + x^3*(50*A*a^3*b^3 - (245*B*a^4*b^2)/2))/(a^5*b^7 + b^12*x^5 + 5*a^4*b^8*x + 5*a*b^11*x^4 + 10*a^3*b^9*x^2 + 10*a^2*b^10*x^3) + (B*x^2)/(2*b^6) + (log(a + b*x)*(21*B*a^2 - 6*A*a*b))/b^8","B"
644,1,187,146,0.125003,"\text{Not used}","int((x^5*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{B\,x}{b^6}-\frac{x\,\left(\frac{77\,B\,a^5}{2}-\frac{125\,A\,a^4\,b}{12}\right)+x^4\,\left(15\,B\,a^2\,b^3-5\,A\,a\,b^4\right)-x^2\,\left(\frac{55\,A\,a^3\,b^2}{3}-65\,B\,a^4\,b\right)+\frac{522\,B\,a^6-137\,A\,a^5\,b}{60\,b}-x^3\,\left(15\,A\,a^2\,b^3-50\,B\,a^3\,b^2\right)}{a^5\,b^6+5\,a^4\,b^7\,x+10\,a^3\,b^8\,x^2+10\,a^2\,b^9\,x^3+5\,a\,b^{10}\,x^4+b^{11}\,x^5}+\frac{\ln\left(a+b\,x\right)\,\left(A\,b-6\,B\,a\right)}{b^7}","Not used",1,"(B*x)/b^6 - (x*((77*B*a^5)/2 - (125*A*a^4*b)/12) + x^4*(15*B*a^2*b^3 - 5*A*a*b^4) - x^2*((55*A*a^3*b^2)/3 - 65*B*a^4*b) + (522*B*a^6 - 137*A*a^5*b)/(60*b) - x^3*(15*A*a^2*b^3 - 50*B*a^3*b^2))/(a^5*b^6 + b^11*x^5 + 5*a^4*b^7*x + 5*a*b^10*x^4 + 10*a^3*b^8*x^2 + 10*a^2*b^9*x^3) + (log(a + b*x)*(A*b - 6*B*a))/b^7","B"
645,1,161,106,1.166087,"\text{Not used}","int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{137\,B\,a^5-12\,A\,a^4\,b}{60\,b^6}+\frac{x^3\,\left(15\,B\,a^2-2\,A\,a\,b\right)}{b^3}+\frac{x\,\left(125\,B\,a^4-12\,A\,a^3\,b\right)}{12\,b^5}-\frac{x^4\,\left(A\,b-5\,B\,a\right)}{b^2}+\frac{x^2\,\left(55\,B\,a^3-6\,A\,a^2\,b\right)}{3\,b^4}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}+\frac{B\,\ln\left(a+b\,x\right)}{b^6}","Not used",1,"((137*B*a^5 - 12*A*a^4*b)/(60*b^6) + (x^3*(15*B*a^2 - 2*A*a*b))/b^3 + (x*(125*B*a^4 - 12*A*a^3*b))/(12*b^5) - (x^4*(A*b - 5*B*a))/b^2 + (x^2*(55*B*a^3 - 6*A*a^2*b))/(3*b^4))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x) + (B*log(a + b*x))/b^6","B"
646,1,128,57,0.054013,"\text{Not used}","int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{B\,x^4}{b}+\frac{a^3\,\left(A\,b+4\,B\,a\right)}{20\,b^5}+\frac{x^3\,\left(A\,b+4\,B\,a\right)}{2\,b^2}+\frac{a\,x^2\,\left(A\,b+4\,B\,a\right)}{2\,b^3}+\frac{a^2\,x\,\left(A\,b+4\,B\,a\right)}{4\,b^4}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"-((B*x^4)/b + (a^3*(A*b + 4*B*a))/(20*b^5) + (x^3*(A*b + 4*B*a))/(2*b^2) + (a*x^2*(A*b + 4*B*a))/(2*b^3) + (a^2*x*(A*b + 4*B*a))/(4*b^4))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
647,1,113,87,0.043656,"\text{Not used}","int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{B\,x^3}{2\,b}+\frac{a^2\,\left(2\,A\,b+3\,B\,a\right)}{60\,b^4}+\frac{x^2\,\left(2\,A\,b+3\,B\,a\right)}{6\,b^2}+\frac{a\,x\,\left(2\,A\,b+3\,B\,a\right)}{12\,b^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"-((B*x^3)/(2*b) + (a^2*(2*A*b + 3*B*a))/(60*b^4) + (x^2*(2*A*b + 3*B*a))/(6*b^2) + (a*x*(2*A*b + 3*B*a))/(12*b^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
648,1,93,61,1.103782,"\text{Not used}","int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{B\,x^2}{3\,b}+\frac{a\,\left(3\,A\,b+2\,B\,a\right)}{60\,b^3}+\frac{x\,\left(3\,A\,b+2\,B\,a\right)}{12\,b^2}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"-((B*x^2)/(3*b) + (a*(3*A*b + 2*B*a))/(60*b^3) + (x*(3*A*b + 2*B*a))/(12*b^2))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
649,1,74,38,1.078477,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{4\,A\,b+B\,a}{20\,b^2}+\frac{B\,x}{4\,b}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"-((4*A*b + B*a)/(20*b^2) + (B*x)/(4*b))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
650,1,130,102,1.128923,"\text{Not used}","int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{137\,A\,b-12\,B\,a}{60\,a\,b}+\frac{77\,A\,b\,x}{12\,a^2}+\frac{47\,A\,b^2\,x^2}{6\,a^3}+\frac{9\,A\,b^3\,x^3}{2\,a^4}+\frac{A\,b^4\,x^4}{a^5}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}-\frac{2\,A\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)}{a^6}","Not used",1,"((137*A*b - 12*B*a)/(60*a*b) + (77*A*b*x)/(12*a^2) + (47*A*b^2*x^2)/(6*a^3) + (9*A*b^3*x^3)/(2*a^4) + (A*b^4*x^4)/a^5)/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x) - (2*A*atanh((2*b*x)/a + 1))/a^6","B"
651,1,180,157,0.148728,"\text{Not used}","int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,b\,x}{a}+1\right)\,\left(6\,A\,b-B\,a\right)}{a^7}-\frac{\frac{A}{a}+\frac{137\,x\,\left(6\,A\,b-B\,a\right)}{60\,a^2}+\frac{47\,b^2\,x^3\,\left(6\,A\,b-B\,a\right)}{6\,a^4}+\frac{9\,b^3\,x^4\,\left(6\,A\,b-B\,a\right)}{2\,a^5}+\frac{b^4\,x^5\,\left(6\,A\,b-B\,a\right)}{a^6}+\frac{77\,b\,x^2\,\left(6\,A\,b-B\,a\right)}{12\,a^3}}{a^5\,x+5\,a^4\,b\,x^2+10\,a^3\,b^2\,x^3+10\,a^2\,b^3\,x^4+5\,a\,b^4\,x^5+b^5\,x^6}","Not used",1,"(2*atanh((2*b*x)/a + 1)*(6*A*b - B*a))/a^7 - (A/a + (137*x*(6*A*b - B*a))/(60*a^2) + (47*b^2*x^3*(6*A*b - B*a))/(6*a^4) + (9*b^3*x^4*(6*A*b - B*a))/(2*a^5) + (b^4*x^5*(6*A*b - B*a))/a^6 + (77*b*x^2*(6*A*b - B*a))/(12*a^3))/(a^5*x + b^5*x^6 + 5*a^4*b*x^2 + 5*a*b^4*x^5 + 10*a^3*b^2*x^3 + 10*a^2*b^3*x^4)","B"
652,1,230,177,1.206157,"\text{Not used}","int((A + B*x)/(x^3*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{x\,\left(7\,A\,b-2\,B\,a\right)}{2\,a^2}-\frac{A}{2\,a}+\frac{77\,b^2\,x^3\,\left(7\,A\,b-2\,B\,a\right)}{4\,a^4}+\frac{47\,b^3\,x^4\,\left(7\,A\,b-2\,B\,a\right)}{2\,a^5}+\frac{27\,b^4\,x^5\,\left(7\,A\,b-2\,B\,a\right)}{2\,a^6}+\frac{3\,b^5\,x^6\,\left(7\,A\,b-2\,B\,a\right)}{a^7}+\frac{137\,b\,x^2\,\left(7\,A\,b-2\,B\,a\right)}{20\,a^3}}{a^5\,x^2+5\,a^4\,b\,x^3+10\,a^3\,b^2\,x^4+10\,a^2\,b^3\,x^5+5\,a\,b^4\,x^6+b^5\,x^7}-\frac{6\,b\,\mathrm{atanh}\left(\frac{3\,b\,\left(7\,A\,b-2\,B\,a\right)\,\left(a+2\,b\,x\right)}{a\,\left(21\,A\,b^2-6\,B\,a\,b\right)}\right)\,\left(7\,A\,b-2\,B\,a\right)}{a^8}","Not used",1,"((x*(7*A*b - 2*B*a))/(2*a^2) - A/(2*a) + (77*b^2*x^3*(7*A*b - 2*B*a))/(4*a^4) + (47*b^3*x^4*(7*A*b - 2*B*a))/(2*a^5) + (27*b^4*x^5*(7*A*b - 2*B*a))/(2*a^6) + (3*b^5*x^6*(7*A*b - 2*B*a))/a^7 + (137*b*x^2*(7*A*b - 2*B*a))/(20*a^3))/(a^5*x^2 + b^5*x^7 + 5*a^4*b*x^3 + 5*a*b^4*x^6 + 10*a^3*b^2*x^4 + 10*a^2*b^3*x^5) - (6*b*atanh((3*b*(7*A*b - 2*B*a)*(a + 2*b*x))/(a*(21*A*b^2 - 6*B*a*b)))*(7*A*b - 2*B*a))/a^8","B"
653,1,431,114,1.870157,"\text{Not used}","int(x^4*((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{A\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}+\frac{B\,x^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{7\,b^2}-\frac{11\,B\,a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^5+5\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-14\,a^3\,b^2\,x^2-13\,a^4\,b\,x-9\,a\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+12\,a^2\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{210\,b^6}-\frac{B\,a^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{35\,b^6}-\frac{A\,a^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}-\frac{3\,A\,a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{40\,b^5}","Not used",1,"(A*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) + (B*x^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(7*b^2) - (11*B*a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^5 + 5*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) - 14*a^3*b^2*x^2 - 13*a^4*b*x - 9*a*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) + 12*a^2*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(210*b^6) - (B*a^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(35*b^6) - (A*a^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) - (3*A*a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(40*b^5)","B"
654,1,340,114,1.304296,"\text{Not used}","int(x^3*((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{A\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{B\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}-\frac{7\,A\,a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{60\,b^4}-\frac{B\,a^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}-\frac{A\,a^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{60\,b^6}-\frac{3\,B\,a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{40\,b^5}","Not used",1,"(A*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (B*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) - (7*A*a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(60*b^4) - (B*a^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) - (A*a^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(60*b^6) - (3*B*a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(40*b^5)","B"
655,1,271,114,1.300804,"\text{Not used}","int(x^2*((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{B\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{A\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{7\,B\,a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{60\,b^4}-\frac{5\,A\,a\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^5}-\frac{B\,a^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{60\,b^6}-\frac{A\,a^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}","Not used",1,"(B*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (A*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (7*B*a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(60*b^4) - (5*A*a*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^5) - (B*a^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(60*b^6) - (A*a^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2)","B"
656,1,176,114,1.281609,"\text{Not used}","int(x*((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{A\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}+\frac{B\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{5\,B\,a\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^5}-\frac{B\,a^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}","Not used",1,"(A*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) + (B*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (5*B*a*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^5) - (B*a^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2)","B"
657,1,77,69,1.253809,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{A\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{2\,b}+\frac{B\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}","Not used",1,"(A*((a + b*x)^2)^(1/2)*(a + b*x))/(2*b) + (B*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4)","B"
658,1,122,105,1.365983,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x,x)","A\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}-A\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)\,\sqrt{a^2}+\frac{B\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{2\,b}+\frac{A\,a\,b\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)}{\sqrt{b^2}}","Not used",1,"A*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) - A*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x)*(a^2)^(1/2) + (B*((a + b*x)^2)^(1/2)*(a + b*x))/(2*b) + (A*a*b*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x))/(b^2)^(1/2)","B"
659,1,207,103,1.464306,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^2,x)","B\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}-B\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)\,\sqrt{a^2}+A\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)\,\sqrt{b^2}-\frac{A\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}+\frac{B\,a\,b\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)}{\sqrt{b^2}}-\frac{A\,a\,b\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)}{\sqrt{a^2}}","Not used",1,"B*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) - B*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x)*(a^2)^(1/2) + A*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x)*(b^2)^(1/2) - (A*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x + (B*a*b*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x))/(b^2)^(1/2) - (A*a*b*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x))/(a^2)^(1/2)","B"
660,1,134,108,1.329895,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^3,x)","B\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)\,\sqrt{b^2}-\frac{B\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}-\frac{A\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+2\,b\,x\right)}{2\,x^2\,\left(a+b\,x\right)}-\frac{B\,a\,b\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)}{\sqrt{a^2}}","Not used",1,"B*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x)*(b^2)^(1/2) - (B*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x - (A*((a + b*x)^2)^(1/2)*(a + 2*b*x))/(2*x^2*(a + b*x)) - (B*a*b*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x))/(a^2)^(1/2)","B"
661,1,43,75,1.113952,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^4,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(2\,A\,a+3\,A\,b\,x+3\,B\,a\,x+6\,B\,b\,x^2\right)}{6\,x^3\,\left(a+b\,x\right)}","Not used",1,"-(((a + b*x)^2)^(1/2)*(2*A*a + 3*A*b*x + 3*B*a*x + 6*B*b*x^2))/(6*x^3*(a + b*x))","B"
662,1,43,114,1.125047,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^5,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(3\,A\,a+4\,A\,b\,x+4\,B\,a\,x+6\,B\,b\,x^2\right)}{12\,x^4\,\left(a+b\,x\right)}","Not used",1,"-(((a + b*x)^2)^(1/2)*(3*A*a + 4*A*b*x + 4*B*a*x + 6*B*b*x^2))/(12*x^4*(a + b*x))","B"
663,1,43,114,1.121752,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^6,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(12\,A\,a+15\,A\,b\,x+15\,B\,a\,x+20\,B\,b\,x^2\right)}{60\,x^5\,\left(a+b\,x\right)}","Not used",1,"-(((a + b*x)^2)^(1/2)*(12*A*a + 15*A*b*x + 15*B*a*x + 20*B*b*x^2))/(60*x^5*(a + b*x))","B"
664,1,43,114,1.145223,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^7,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(10\,A\,a+12\,A\,b\,x+12\,B\,a\,x+15\,B\,b\,x^2\right)}{60\,x^6\,\left(a+b\,x\right)}","Not used",1,"-(((a + b*x)^2)^(1/2)*(10*A*a + 12*A*b*x + 12*B*a*x + 15*B*b*x^2))/(60*x^6*(a + b*x))","B"
665,0,-1,210,0.000000,"\text{Not used}","int(x^5*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^5\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^5*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
666,0,-1,210,0.000000,"\text{Not used}","int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^4\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
667,0,-1,210,0.000000,"\text{Not used}","int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^3\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
668,0,-1,210,0.000000,"\text{Not used}","int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^2\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
669,0,-1,121,0.000000,"\text{Not used}","int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
670,1,42,69,1.220447,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}\,\left(5\,A\,b-B\,a+4\,B\,b\,x\right)}{20\,b^2}","Not used",1,"((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)*(5*A*b - B*a + 4*B*b*x))/(20*b^2)","B"
671,0,-1,182,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x, x)","F"
672,0,-1,200,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^2, x)","F"
673,0,-1,200,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^3, x)","F"
674,0,-1,199,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^4, x)","F"
675,0,-1,187,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^5, x)","F"
676,1,196,77,1.171622,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^6,x)","-\frac{\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^4\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{2}+\frac{3\,B\,a\,b^2}{2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^2\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,x^5\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x\,\left(a+b\,x\right)}-\frac{a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^3\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/4 + (3*A*a^2*b)/4)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^4*(a + b*x)) - (((A*b^3)/2 + (3*B*a*b^2)/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^2*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*x^5*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x*(a + b*x)) - (a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^3*(a + b*x))","B"
677,1,195,210,1.180206,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^7,x)","-\frac{\left(\frac{B\,a^3}{5}+\frac{3\,A\,b\,a^2}{5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{3}+B\,a\,b^2\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^3\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,x^6\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,x^2\,\left(a+b\,x\right)}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,x^4\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/5 + (3*A*a^2*b)/5)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x)) - (((A*b^3)/3 + B*a*b^2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^3*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*x^6*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*x^2*(a + b*x)) - (3*a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*x^4*(a + b*x))","B"
678,1,196,210,1.193128,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^8,x)","-\frac{\left(\frac{B\,a^3}{6}+\frac{A\,b\,a^2}{2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^6\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{4}+\frac{3\,B\,a\,b^2}{4}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^4\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,x^3\,\left(a+b\,x\right)}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,x^5\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/6 + (A*a^2*b)/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^6*(a + b*x)) - (((A*b^3)/4 + (3*B*a*b^2)/4)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^4*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*x^3*(a + b*x)) - (3*a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*x^5*(a + b*x))","B"
679,1,196,210,1.173654,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^9,x)","-\frac{\left(\frac{B\,a^3}{7}+\frac{3\,A\,b\,a^2}{7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^7\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{5}+\frac{3\,B\,a\,b^2}{5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,x^8\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,x^4\,\left(a+b\,x\right)}-\frac{a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,x^6\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/7 + (3*A*a^2*b)/7)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^7*(a + b*x)) - (((A*b^3)/5 + (3*B*a*b^2)/5)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*x^8*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*x^4*(a + b*x)) - (a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*x^6*(a + b*x))","B"
680,1,196,210,1.165182,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^10,x)","-\frac{\left(\frac{B\,a^3}{8}+\frac{3\,A\,b\,a^2}{8}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^8\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{6}+\frac{B\,a\,b^2}{2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^6\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,x^9\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,x^5\,\left(a+b\,x\right)}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/8 + (3*A*a^2*b)/8)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^8*(a + b*x)) - (((A*b^3)/6 + (B*a*b^2)/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^6*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*x^9*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*x^5*(a + b*x)) - (3*a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x))","B"
681,1,196,210,1.176328,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^11,x)","-\frac{\left(\frac{B\,a^3}{9}+\frac{A\,b\,a^2}{3}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^9\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{7}+\frac{3\,B\,a\,b^2}{7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^7\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{10\,x^{10}\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,x^6\,\left(a+b\,x\right)}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,x^8\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/9 + (A*a^2*b)/3)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^9*(a + b*x)) - (((A*b^3)/7 + (3*B*a*b^2)/7)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^7*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(10*x^10*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*x^6*(a + b*x)) - (3*a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*x^8*(a + b*x))","B"
682,1,196,210,1.162754,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^12,x)","-\frac{\left(\frac{B\,a^3}{10}+\frac{3\,A\,b\,a^2}{10}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^{10}\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^3}{8}+\frac{3\,B\,a\,b^2}{8}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^8\,\left(a+b\,x\right)}-\frac{A\,a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{11\,x^{11}\,\left(a+b\,x\right)}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{a\,b\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,x^9\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^3)/10 + (3*A*a^2*b)/10)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^10*(a + b*x)) - (((A*b^3)/8 + (3*B*a*b^2)/8)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^8*(a + b*x)) - (A*a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(11*x^11*(a + b*x)) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (a*b*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*x^9*(a + b*x))","B"
683,0,-1,303,0.000000,"\text{Not used}","int(x^6*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^6\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^6*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
684,0,-1,306,0.000000,"\text{Not used}","int(x^5*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^5\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^5*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
685,0,-1,306,0.000000,"\text{Not used}","int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^4\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^4*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
686,0,-1,212,0.000000,"\text{Not used}","int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^3\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^3*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
687,0,-1,167,0.000000,"\text{Not used}","int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^2\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^2*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
688,0,-1,121,0.000000,"\text{Not used}","int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
689,0,-1,69,0.000000,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
690,0,-1,262,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x, x)","F"
691,0,-1,294,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^2, x)","F"
692,0,-1,297,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^3, x)","F"
693,0,-1,297,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^4, x)","F"
694,0,-1,296,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^5, x)","F"
695,0,-1,293,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^6,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^6} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^6, x)","F"
696,0,-1,267,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^7,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^7} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^7, x)","F"
697,1,284,77,1.327444,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^8,x)","-\frac{\left(\frac{B\,a^5}{6}+\frac{5\,A\,b\,a^4}{6}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^6\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{2}+\frac{5\,B\,a\,b^4}{2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^2\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,x^3\,\left(a+b\,x\right)}-\frac{a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}-\frac{5\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,x^4\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/6 + (5*A*a^4*b)/6)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^6*(a + b*x)) - (((A*b^5)/2 + (5*B*a*b^4)/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^2*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*x^3*(a + b*x)) - (a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x)) - (5*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*x^4*(a + b*x))","B"
698,1,284,130,1.308407,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^9,x)","-\frac{\left(\frac{B\,a^5}{7}+\frac{5\,A\,b\,a^4}{7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^7\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{3}+\frac{5\,B\,a\,b^4}{3}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^3\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,x^8\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,x^2\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,x^4\,\left(a+b\,x\right)}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,x^6\,\left(a+b\,x\right)}-\frac{2\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/7 + (5*A*a^4*b)/7)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^7*(a + b*x)) - (((A*b^5)/3 + (5*B*a*b^4)/3)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^3*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*x^8*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*x^2*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*x^4*(a + b*x)) - (5*a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*x^6*(a + b*x)) - (2*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x))","B"
699,1,284,304,1.303440,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^10,x)","-\frac{\left(\frac{B\,a^5}{8}+\frac{5\,A\,b\,a^4}{8}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^8\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{4}+\frac{5\,B\,a\,b^4}{4}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^4\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,x^9\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,x^3\,\left(a+b\,x\right)}-\frac{a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{5\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,x^6\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/8 + (5*A*a^4*b)/8)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^8*(a + b*x)) - (((A*b^5)/4 + (5*B*a*b^4)/4)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^4*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*x^9*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*x^3*(a + b*x)) - (a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x)) - (5*a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (5*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*x^6*(a + b*x))","B"
700,1,283,306,1.308993,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^11,x)","-\frac{\left(\frac{B\,a^5}{9}+\frac{5\,A\,b\,a^4}{9}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^9\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{5}+B\,a\,b^4\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^5\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{10\,x^{10}\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,x^4\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,x^6\,\left(a+b\,x\right)}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,x^8\,\left(a+b\,x\right)}-\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/9 + (5*A*a^4*b)/9)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^9*(a + b*x)) - (((A*b^5)/5 + B*a*b^4)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^5*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(10*x^10*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*x^4*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*x^6*(a + b*x)) - (5*a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*x^8*(a + b*x)) - (10*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x))","B"
701,1,284,306,1.386882,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^12,x)","-\frac{\left(\frac{B\,a^5}{10}+\frac{A\,b\,a^4}{2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^{10}\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{6}+\frac{5\,B\,a\,b^4}{6}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^6\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{11\,x^{11}\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,x^5\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,x^9\,\left(a+b\,x\right)}-\frac{5\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,x^8\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/10 + (A*a^4*b)/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^10*(a + b*x)) - (((A*b^5)/6 + (5*B*a*b^4)/6)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^6*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(11*x^11*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*x^5*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (5*a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*x^9*(a + b*x)) - (5*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*x^8*(a + b*x))","B"
702,1,284,306,2.191402,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^13,x)","-\frac{\left(\frac{B\,a^5}{11}+\frac{5\,A\,b\,a^4}{11}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^{11}\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{7}+\frac{5\,B\,a\,b^4}{7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^7\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{12\,x^{12}\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,x^6\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,x^8\,\left(a+b\,x\right)}-\frac{a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,x^{10}\,\left(a+b\,x\right)}-\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,x^9\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/11 + (5*A*a^4*b)/11)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^11*(a + b*x)) - (((A*b^5)/7 + (5*B*a*b^4)/7)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^7*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(12*x^12*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*x^6*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*x^8*(a + b*x)) - (a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*x^10*(a + b*x)) - (10*a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*x^9*(a + b*x))","B"
703,1,284,304,1.232358,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^14,x)","-\frac{\left(\frac{B\,a^5}{12}+\frac{5\,A\,b\,a^4}{12}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^{12}\,\left(a+b\,x\right)}-\frac{\left(\frac{A\,b^5}{8}+\frac{5\,B\,a\,b^4}{8}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^8\,\left(a+b\,x\right)}-\frac{A\,a^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{13\,x^{13}\,\left(a+b\,x\right)}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,x^7\,\left(a+b\,x\right)}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,x^9\,\left(a+b\,x\right)}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{11\,x^{11}\,\left(a+b\,x\right)}-\frac{a^2\,b^2\,\left(A\,b+B\,a\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x^{10}\,\left(a+b\,x\right)}","Not used",1,"- (((B*a^5)/12 + (5*A*a^4*b)/12)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^12*(a + b*x)) - (((A*b^5)/8 + (5*B*a*b^4)/8)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^8*(a + b*x)) - (A*a^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(13*x^13*(a + b*x)) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*x^7*(a + b*x)) - (5*a*b^3*(A*b + 2*B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*x^9*(a + b*x)) - (5*a^3*b*(2*A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(11*x^11*(a + b*x)) - (a^2*b^2*(A*b + B*a)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(x^10*(a + b*x))","B"
704,0,-1,258,0.000000,"\text{Not used}","int((x^4*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^4*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
705,0,-1,212,0.000000,"\text{Not used}","int((x^3*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^3*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
706,0,-1,166,0.000000,"\text{Not used}","int((x^2*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^2*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
707,0,-1,120,0.000000,"\text{Not used}","int((x*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
708,1,79,69,1.466367,"\text{Not used}","int((A + B*x)/((a + b*x)^2)^(1/2),x)","\frac{B\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^2}+\frac{A\,\ln\left(a+b\,x+\sqrt{{\left(a+b\,x\right)}^2}\right)}{b}-\frac{B\,a\,b\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)}{{\left(b^2\right)}^{3/2}}","Not used",1,"(B*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/b^2 + (A*log(a + b*x + ((a + b*x)^2)^(1/2)))/b - (B*a*b*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x))/(b^2)^(3/2)","B"
709,1,68,80,1.446605,"\text{Not used}","int((A + B*x)/(x*((a + b*x)^2)^(1/2)),x)","\frac{B\,\ln\left(a+b\,x+\sqrt{{\left(a+b\,x\right)}^2}\right)}{b}-\frac{A\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)}{\sqrt{a^2}}","Not used",1,"(B*log(a + b*x + ((a + b*x)^2)^(1/2)))/b - (A*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x))/(a^2)^(1/2)","B"
710,1,117,113,1.488706,"\text{Not used}","int((A + B*x)/(x^2*((a + b*x)^2)^(1/2)),x)","\frac{A\,a\,b\,\mathrm{atanh}\left(\frac{a^2+b\,x\,a}{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}\right)}{{\left(a^2\right)}^{3/2}}-\frac{A\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{a^2\,x}-\frac{B\,\ln\left(a\,b+\frac{a^2}{x}+\frac{\sqrt{a^2}\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{x}\right)}{\sqrt{a^2}}","Not used",1,"(A*a*b*atanh((a^2 + a*b*x)/((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))))/(a^2)^(3/2) - (A*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a^2*x) - (B*log(a*b + a^2/x + ((a^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/x))/(a^2)^(1/2)","B"
711,0,-1,162,0.000000,"\text{Not used}","int((A + B*x)/(x^3*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^3\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^3*((a + b*x)^2)^(1/2)), x)","F"
712,0,-1,211,0.000000,"\text{Not used}","int((A + B*x)/(x^4*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^4\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^4*((a + b*x)^2)^(1/2)), x)","F"
713,0,-1,256,0.000000,"\text{Not used}","int((A + B*x)/(x^5*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^5\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^5*((a + b*x)^2)^(1/2)), x)","F"
714,0,-1,249,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
715,0,-1,202,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
716,0,-1,154,0.000000,"\text{Not used}","int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
717,0,-1,113,0.000000,"\text{Not used}","int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
718,1,42,69,1.191987,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(A\,b+B\,a+2\,B\,b\,x\right)}{2\,b^2\,{\left(a+b\,x\right)}^3}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(A*b + B*a + 2*B*b*x))/(2*b^2*(a + b*x)^3)","B"
719,0,-1,140,0.000000,"\text{Not used}","int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
720,0,-1,196,0.000000,"\text{Not used}","int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
721,0,-1,243,0.000000,"\text{Not used}","int((A + B*x)/(x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
722,0,-1,245,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
723,0,-1,188,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
724,1,201,77,1.270372,"\text{Not used}","int((x^2*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\left(\frac{B\,a^2-A\,a\,b}{3\,b^4}-\frac{a\,\left(\frac{A\,b^2-B\,a\,b}{3\,b^4}-\frac{B\,a}{3\,b^3}\right)}{b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{{\left(a+b\,x\right)}^4}-\frac{\left(\frac{A\,b-2\,B\,a}{2\,b^4}-\frac{B\,a}{2\,b^4}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{{\left(a+b\,x\right)}^3}-\frac{B\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^4\,{\left(a+b\,x\right)}^2}-\frac{a^2\,\left(\frac{A}{4\,b}-\frac{B\,a}{4\,b^2}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^2\,{\left(a+b\,x\right)}^5}","Not used",1,"- (((B*a^2 - A*a*b)/(3*b^4) - (a*((A*b^2 - B*a*b)/(3*b^4) - (B*a)/(3*b^3)))/b)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a + b*x)^4 - (((A*b - 2*B*a)/(2*b^4) - (B*a)/(2*b^4))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a + b*x)^3 - (B*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(b^4*(a + b*x)^2) - (a^2*(A/(4*b) - (B*a)/(4*b^2))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(b^2*(a + b*x)^5)","B"
725,1,62,121,1.247856,"\text{Not used}","int((x*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(B\,a^2+4\,B\,a\,b\,x+A\,a\,b+6\,B\,b^2\,x^2+4\,A\,b^2\,x\right)}{12\,b^3\,{\left(a+b\,x\right)}^5}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(B*a^2 + 6*B*b^2*x^2 + A*a*b + 4*A*b^2*x + 4*B*a*b*x))/(12*b^3*(a + b*x)^5)","B"
726,1,43,71,1.203312,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(3\,A\,b+B\,a+4\,B\,b\,x\right)}{12\,b^2\,{\left(a+b\,x\right)}^5}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(3*A*b + B*a + 4*B*b*x))/(12*b^2*(a + b*x)^5)","B"
727,0,-1,210,0.000000,"\text{Not used}","int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
728,0,-1,282,0.000000,"\text{Not used}","int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
729,1,51,63,0.061477,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
730,1,51,63,0.047489,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
731,1,51,63,0.048497,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
732,1,51,63,0.053268,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
733,1,51,61,0.047007,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
734,1,51,59,0.052706,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
735,1,51,59,1.126243,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
736,1,52,59,0.056437,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/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"
737,1,51,61,1.118340,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/x^(9/2),x)","-\frac{x^2\,\left(\frac{2\,A\,b^2}{3}+\frac{4\,B\,a\,b}{3}\right)+\frac{2\,A\,a^2}{7}+x\,\left(\frac{2\,B\,a^2}{5}+\frac{4\,A\,b\,a}{5}\right)+2\,B\,b^2\,x^3}{x^{7/2}}","Not used",1,"-(x^2*((2*A*b^2)/3 + (4*B*a*b)/3) + (2*A*a^2)/7 + x*((2*B*a^2)/5 + (4*A*a*b)/5) + 2*B*b^2*x^3)/x^(7/2)","B"
738,1,91,111,0.049128,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^{11/2}\,\left(\frac{2\,B\,a^4}{11}+\frac{8\,A\,b\,a^3}{11}\right)+x^{17/2}\,\left(\frac{2\,A\,b^4}{17}+\frac{8\,B\,a\,b^3}{17}\right)+\frac{2\,A\,a^4\,x^{9/2}}{9}+\frac{2\,B\,b^4\,x^{19/2}}{19}+\frac{4\,a^2\,b\,x^{13/2}\,\left(3\,A\,b+2\,B\,a\right)}{13}+\frac{4\,a\,b^2\,x^{15/2}\,\left(2\,A\,b+3\,B\,a\right)}{15}","Not used",1,"x^(11/2)*((2*B*a^4)/11 + (8*A*a^3*b)/11) + x^(17/2)*((2*A*b^4)/17 + (8*B*a*b^3)/17) + (2*A*a^4*x^(9/2))/9 + (2*B*b^4*x^(19/2))/19 + (4*a^2*b*x^(13/2)*(3*A*b + 2*B*a))/13 + (4*a*b^2*x^(15/2)*(2*A*b + 3*B*a))/15","B"
739,1,91,111,0.037433,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^{9/2}\,\left(\frac{2\,B\,a^4}{9}+\frac{8\,A\,b\,a^3}{9}\right)+x^{15/2}\,\left(\frac{2\,A\,b^4}{15}+\frac{8\,B\,a\,b^3}{15}\right)+\frac{2\,A\,a^4\,x^{7/2}}{7}+\frac{2\,B\,b^4\,x^{17/2}}{17}+\frac{4\,a^2\,b\,x^{11/2}\,\left(3\,A\,b+2\,B\,a\right)}{11}+\frac{4\,a\,b^2\,x^{13/2}\,\left(2\,A\,b+3\,B\,a\right)}{13}","Not used",1,"x^(9/2)*((2*B*a^4)/9 + (8*A*a^3*b)/9) + x^(15/2)*((2*A*b^4)/15 + (8*B*a*b^3)/15) + (2*A*a^4*x^(7/2))/7 + (2*B*b^4*x^(17/2))/17 + (4*a^2*b*x^(11/2)*(3*A*b + 2*B*a))/11 + (4*a*b^2*x^(13/2)*(2*A*b + 3*B*a))/13","B"
740,1,91,111,0.037991,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^{7/2}\,\left(\frac{2\,B\,a^4}{7}+\frac{8\,A\,b\,a^3}{7}\right)+x^{13/2}\,\left(\frac{2\,A\,b^4}{13}+\frac{8\,B\,a\,b^3}{13}\right)+\frac{2\,A\,a^4\,x^{5/2}}{5}+\frac{2\,B\,b^4\,x^{15/2}}{15}+\frac{4\,a^2\,b\,x^{9/2}\,\left(3\,A\,b+2\,B\,a\right)}{9}+\frac{4\,a\,b^2\,x^{11/2}\,\left(2\,A\,b+3\,B\,a\right)}{11}","Not used",1,"x^(7/2)*((2*B*a^4)/7 + (8*A*a^3*b)/7) + x^(13/2)*((2*A*b^4)/13 + (8*B*a*b^3)/13) + (2*A*a^4*x^(5/2))/5 + (2*B*b^4*x^(15/2))/15 + (4*a^2*b*x^(9/2)*(3*A*b + 2*B*a))/9 + (4*a*b^2*x^(11/2)*(2*A*b + 3*B*a))/11","B"
741,1,91,111,0.037222,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^{5/2}\,\left(\frac{2\,B\,a^4}{5}+\frac{8\,A\,b\,a^3}{5}\right)+x^{11/2}\,\left(\frac{2\,A\,b^4}{11}+\frac{8\,B\,a\,b^3}{11}\right)+\frac{2\,A\,a^4\,x^{3/2}}{3}+\frac{2\,B\,b^4\,x^{13/2}}{13}+\frac{4\,a^2\,b\,x^{7/2}\,\left(3\,A\,b+2\,B\,a\right)}{7}+\frac{4\,a\,b^2\,x^{9/2}\,\left(2\,A\,b+3\,B\,a\right)}{9}","Not used",1,"x^(5/2)*((2*B*a^4)/5 + (8*A*a^3*b)/5) + x^(11/2)*((2*A*b^4)/11 + (8*B*a*b^3)/11) + (2*A*a^4*x^(3/2))/3 + (2*B*b^4*x^(13/2))/13 + (4*a^2*b*x^(7/2)*(3*A*b + 2*B*a))/7 + (4*a*b^2*x^(9/2)*(2*A*b + 3*B*a))/9","B"
742,1,91,109,0.037976,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,B\,a^4}{3}+\frac{8\,A\,b\,a^3}{3}\right)+x^{9/2}\,\left(\frac{2\,A\,b^4}{9}+\frac{8\,B\,a\,b^3}{9}\right)+2\,A\,a^4\,\sqrt{x}+\frac{2\,B\,b^4\,x^{11/2}}{11}+\frac{4\,a^2\,b\,x^{5/2}\,\left(3\,A\,b+2\,B\,a\right)}{5}+\frac{4\,a\,b^2\,x^{7/2}\,\left(2\,A\,b+3\,B\,a\right)}{7}","Not used",1,"x^(3/2)*((2*B*a^4)/3 + (8*A*a^3*b)/3) + x^(9/2)*((2*A*b^4)/9 + (8*B*a*b^3)/9) + 2*A*a^4*x^(1/2) + (2*B*b^4*x^(11/2))/11 + (4*a^2*b*x^(5/2)*(3*A*b + 2*B*a))/5 + (4*a*b^2*x^(7/2)*(2*A*b + 3*B*a))/7","B"
743,1,91,107,0.040792,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^(3/2),x)","\sqrt{x}\,\left(2\,B\,a^4+8\,A\,b\,a^3\right)+x^{7/2}\,\left(\frac{2\,A\,b^4}{7}+\frac{8\,B\,a\,b^3}{7}\right)-\frac{2\,A\,a^4}{\sqrt{x}}+\frac{2\,B\,b^4\,x^{9/2}}{9}+\frac{4\,a^2\,b\,x^{3/2}\,\left(3\,A\,b+2\,B\,a\right)}{3}+\frac{4\,a\,b^2\,x^{5/2}\,\left(2\,A\,b+3\,B\,a\right)}{5}","Not used",1,"x^(1/2)*(2*B*a^4 + 8*A*a^3*b) + x^(7/2)*((2*A*b^4)/7 + (8*B*a*b^3)/7) - (2*A*a^4)/x^(1/2) + (2*B*b^4*x^(9/2))/9 + (4*a^2*b*x^(3/2)*(3*A*b + 2*B*a))/3 + (4*a*b^2*x^(5/2)*(2*A*b + 3*B*a))/5","B"
744,1,92,107,0.041898,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^(5/2),x)","x^{5/2}\,\left(\frac{2\,A\,b^4}{5}+\frac{8\,B\,a\,b^3}{5}\right)-\frac{x\,\left(2\,B\,a^4+8\,A\,b\,a^3\right)+\frac{2\,A\,a^4}{3}}{x^{3/2}}+\frac{2\,B\,b^4\,x^{7/2}}{7}+4\,a^2\,b\,\sqrt{x}\,\left(3\,A\,b+2\,B\,a\right)+\frac{4\,a\,b^2\,x^{3/2}\,\left(2\,A\,b+3\,B\,a\right)}{3}","Not used",1,"x^(5/2)*((2*A*b^4)/5 + (8*B*a*b^3)/5) - (x*(2*B*a^4 + 8*A*a^3*b) + (2*A*a^4)/3)/x^(3/2) + (2*B*b^4*x^(7/2))/7 + 4*a^2*b*x^(1/2)*(3*A*b + 2*B*a) + (4*a*b^2*x^(3/2)*(2*A*b + 3*B*a))/3","B"
745,1,95,107,0.065736,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^(7/2),x)","x^{3/2}\,\left(\frac{2\,A\,b^4}{3}+\frac{8\,B\,a\,b^3}{3}\right)-\frac{x\,\left(\frac{2\,B\,a^4}{3}+\frac{8\,A\,b\,a^3}{3}\right)+\frac{2\,A\,a^4}{5}+x^2\,\left(8\,B\,a^3\,b+12\,A\,a^2\,b^2\right)}{x^{5/2}}+\frac{2\,B\,b^4\,x^{5/2}}{5}+4\,a\,b^2\,\sqrt{x}\,\left(2\,A\,b+3\,B\,a\right)","Not used",1,"x^(3/2)*((2*A*b^4)/3 + (8*B*a*b^3)/3) - (x*((2*B*a^4)/3 + (8*A*a^3*b)/3) + (2*A*a^4)/5 + x^2*(12*A*a^2*b^2 + 8*B*a^3*b))/x^(5/2) + (2*B*b^4*x^(5/2))/5 + 4*a*b^2*x^(1/2)*(2*A*b + 3*B*a)","B"
746,1,98,107,0.064739,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/x^(9/2),x)","\sqrt{x}\,\left(2\,A\,b^4+8\,B\,a\,b^3\right)-\frac{x\,\left(\frac{2\,B\,a^4}{5}+\frac{8\,A\,b\,a^3}{5}\right)+\frac{2\,A\,a^4}{7}+x^2\,\left(\frac{8\,B\,a^3\,b}{3}+4\,A\,a^2\,b^2\right)+x^3\,\left(12\,B\,a^2\,b^2+8\,A\,a\,b^3\right)}{x^{7/2}}+\frac{2\,B\,b^4\,x^{3/2}}{3}","Not used",1,"x^(1/2)*(2*A*b^4 + 8*B*a*b^3) - (x*((2*B*a^4)/5 + (8*A*a^3*b)/5) + (2*A*a^4)/7 + x^2*(4*A*a^2*b^2 + (8*B*a^3*b)/3) + x^3*(12*B*a^2*b^2 + 8*A*a*b^3))/x^(7/2) + (2*B*b^4*x^(3/2))/3","B"
747,1,131,159,0.065412,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^{11/2}\,\left(\frac{2\,B\,a^6}{11}+\frac{12\,A\,b\,a^5}{11}\right)+x^{21/2}\,\left(\frac{2\,A\,b^6}{21}+\frac{4\,B\,a\,b^5}{7}\right)+\frac{2\,A\,a^6\,x^{9/2}}{9}+\frac{2\,B\,b^6\,x^{23/2}}{23}+\frac{2\,a^3\,b^2\,x^{15/2}\,\left(4\,A\,b+3\,B\,a\right)}{3}+\frac{10\,a^2\,b^3\,x^{17/2}\,\left(3\,A\,b+4\,B\,a\right)}{17}+\frac{6\,a^4\,b\,x^{13/2}\,\left(5\,A\,b+2\,B\,a\right)}{13}+\frac{6\,a\,b^4\,x^{19/2}\,\left(2\,A\,b+5\,B\,a\right)}{19}","Not used",1,"x^(11/2)*((2*B*a^6)/11 + (12*A*a^5*b)/11) + x^(21/2)*((2*A*b^6)/21 + (4*B*a*b^5)/7) + (2*A*a^6*x^(9/2))/9 + (2*B*b^6*x^(23/2))/23 + (2*a^3*b^2*x^(15/2)*(4*A*b + 3*B*a))/3 + (10*a^2*b^3*x^(17/2)*(3*A*b + 4*B*a))/17 + (6*a^4*b*x^(13/2)*(5*A*b + 2*B*a))/13 + (6*a*b^4*x^(19/2)*(2*A*b + 5*B*a))/19","B"
748,1,131,159,0.052060,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^{9/2}\,\left(\frac{2\,B\,a^6}{9}+\frac{4\,A\,b\,a^5}{3}\right)+x^{19/2}\,\left(\frac{2\,A\,b^6}{19}+\frac{12\,B\,a\,b^5}{19}\right)+\frac{2\,A\,a^6\,x^{7/2}}{7}+\frac{2\,B\,b^6\,x^{21/2}}{21}+\frac{10\,a^3\,b^2\,x^{13/2}\,\left(4\,A\,b+3\,B\,a\right)}{13}+\frac{2\,a^2\,b^3\,x^{15/2}\,\left(3\,A\,b+4\,B\,a\right)}{3}+\frac{6\,a^4\,b\,x^{11/2}\,\left(5\,A\,b+2\,B\,a\right)}{11}+\frac{6\,a\,b^4\,x^{17/2}\,\left(2\,A\,b+5\,B\,a\right)}{17}","Not used",1,"x^(9/2)*((2*B*a^6)/9 + (4*A*a^5*b)/3) + x^(19/2)*((2*A*b^6)/19 + (12*B*a*b^5)/19) + (2*A*a^6*x^(7/2))/7 + (2*B*b^6*x^(21/2))/21 + (10*a^3*b^2*x^(13/2)*(4*A*b + 3*B*a))/13 + (2*a^2*b^3*x^(15/2)*(3*A*b + 4*B*a))/3 + (6*a^4*b*x^(11/2)*(5*A*b + 2*B*a))/11 + (6*a*b^4*x^(17/2)*(2*A*b + 5*B*a))/17","B"
749,1,131,159,0.050836,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^{7/2}\,\left(\frac{2\,B\,a^6}{7}+\frac{12\,A\,b\,a^5}{7}\right)+x^{17/2}\,\left(\frac{2\,A\,b^6}{17}+\frac{12\,B\,a\,b^5}{17}\right)+\frac{2\,A\,a^6\,x^{5/2}}{5}+\frac{2\,B\,b^6\,x^{19/2}}{19}+\frac{10\,a^3\,b^2\,x^{11/2}\,\left(4\,A\,b+3\,B\,a\right)}{11}+\frac{10\,a^2\,b^3\,x^{13/2}\,\left(3\,A\,b+4\,B\,a\right)}{13}+\frac{2\,a^4\,b\,x^{9/2}\,\left(5\,A\,b+2\,B\,a\right)}{3}+\frac{2\,a\,b^4\,x^{15/2}\,\left(2\,A\,b+5\,B\,a\right)}{5}","Not used",1,"x^(7/2)*((2*B*a^6)/7 + (12*A*a^5*b)/7) + x^(17/2)*((2*A*b^6)/17 + (12*B*a*b^5)/17) + (2*A*a^6*x^(5/2))/5 + (2*B*b^6*x^(19/2))/19 + (10*a^3*b^2*x^(11/2)*(4*A*b + 3*B*a))/11 + (10*a^2*b^3*x^(13/2)*(3*A*b + 4*B*a))/13 + (2*a^4*b*x^(9/2)*(5*A*b + 2*B*a))/3 + (2*a*b^4*x^(15/2)*(2*A*b + 5*B*a))/5","B"
750,1,131,159,0.051229,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^{5/2}\,\left(\frac{2\,B\,a^6}{5}+\frac{12\,A\,b\,a^5}{5}\right)+x^{15/2}\,\left(\frac{2\,A\,b^6}{15}+\frac{4\,B\,a\,b^5}{5}\right)+\frac{2\,A\,a^6\,x^{3/2}}{3}+\frac{2\,B\,b^6\,x^{17/2}}{17}+\frac{10\,a^3\,b^2\,x^{9/2}\,\left(4\,A\,b+3\,B\,a\right)}{9}+\frac{10\,a^2\,b^3\,x^{11/2}\,\left(3\,A\,b+4\,B\,a\right)}{11}+\frac{6\,a^4\,b\,x^{7/2}\,\left(5\,A\,b+2\,B\,a\right)}{7}+\frac{6\,a\,b^4\,x^{13/2}\,\left(2\,A\,b+5\,B\,a\right)}{13}","Not used",1,"x^(5/2)*((2*B*a^6)/5 + (12*A*a^5*b)/5) + x^(15/2)*((2*A*b^6)/15 + (4*B*a*b^5)/5) + (2*A*a^6*x^(3/2))/3 + (2*B*b^6*x^(17/2))/17 + (10*a^3*b^2*x^(9/2)*(4*A*b + 3*B*a))/9 + (10*a^2*b^3*x^(11/2)*(3*A*b + 4*B*a))/11 + (6*a^4*b*x^(7/2)*(5*A*b + 2*B*a))/7 + (6*a*b^4*x^(13/2)*(2*A*b + 5*B*a))/13","B"
751,1,131,157,0.050158,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,B\,a^6}{3}+4\,A\,b\,a^5\right)+x^{13/2}\,\left(\frac{2\,A\,b^6}{13}+\frac{12\,B\,a\,b^5}{13}\right)+2\,A\,a^6\,\sqrt{x}+\frac{2\,B\,b^6\,x^{15/2}}{15}+\frac{10\,a^3\,b^2\,x^{7/2}\,\left(4\,A\,b+3\,B\,a\right)}{7}+\frac{10\,a^2\,b^3\,x^{9/2}\,\left(3\,A\,b+4\,B\,a\right)}{9}+\frac{6\,a^4\,b\,x^{5/2}\,\left(5\,A\,b+2\,B\,a\right)}{5}+\frac{6\,a\,b^4\,x^{11/2}\,\left(2\,A\,b+5\,B\,a\right)}{11}","Not used",1,"x^(3/2)*((2*B*a^6)/3 + 4*A*a^5*b) + x^(13/2)*((2*A*b^6)/13 + (12*B*a*b^5)/13) + 2*A*a^6*x^(1/2) + (2*B*b^6*x^(15/2))/15 + (10*a^3*b^2*x^(7/2)*(4*A*b + 3*B*a))/7 + (10*a^2*b^3*x^(9/2)*(3*A*b + 4*B*a))/9 + (6*a^4*b*x^(5/2)*(5*A*b + 2*B*a))/5 + (6*a*b^4*x^(11/2)*(2*A*b + 5*B*a))/11","B"
752,1,131,151,0.054228,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(3/2),x)","\sqrt{x}\,\left(2\,B\,a^6+12\,A\,b\,a^5\right)+x^{11/2}\,\left(\frac{2\,A\,b^6}{11}+\frac{12\,B\,a\,b^5}{11}\right)-\frac{2\,A\,a^6}{\sqrt{x}}+\frac{2\,B\,b^6\,x^{13/2}}{13}+2\,a^3\,b^2\,x^{5/2}\,\left(4\,A\,b+3\,B\,a\right)+\frac{10\,a^2\,b^3\,x^{7/2}\,\left(3\,A\,b+4\,B\,a\right)}{7}+2\,a^4\,b\,x^{3/2}\,\left(5\,A\,b+2\,B\,a\right)+\frac{2\,a\,b^4\,x^{9/2}\,\left(2\,A\,b+5\,B\,a\right)}{3}","Not used",1,"x^(1/2)*(2*B*a^6 + 12*A*a^5*b) + x^(11/2)*((2*A*b^6)/11 + (12*B*a*b^5)/11) - (2*A*a^6)/x^(1/2) + (2*B*b^6*x^(13/2))/13 + 2*a^3*b^2*x^(5/2)*(4*A*b + 3*B*a) + (10*a^2*b^3*x^(7/2)*(3*A*b + 4*B*a))/7 + 2*a^4*b*x^(3/2)*(5*A*b + 2*B*a) + (2*a*b^4*x^(9/2)*(2*A*b + 5*B*a))/3","B"
753,1,132,153,0.053662,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(5/2),x)","x^{9/2}\,\left(\frac{2\,A\,b^6}{9}+\frac{4\,B\,a\,b^5}{3}\right)-\frac{x\,\left(2\,B\,a^6+12\,A\,b\,a^5\right)+\frac{2\,A\,a^6}{3}}{x^{3/2}}+\frac{2\,B\,b^6\,x^{11/2}}{11}+\frac{10\,a^3\,b^2\,x^{3/2}\,\left(4\,A\,b+3\,B\,a\right)}{3}+2\,a^2\,b^3\,x^{5/2}\,\left(3\,A\,b+4\,B\,a\right)+6\,a^4\,b\,\sqrt{x}\,\left(5\,A\,b+2\,B\,a\right)+\frac{6\,a\,b^4\,x^{7/2}\,\left(2\,A\,b+5\,B\,a\right)}{7}","Not used",1,"x^(9/2)*((2*A*b^6)/9 + (4*B*a*b^5)/3) - (x*(2*B*a^6 + 12*A*a^5*b) + (2*A*a^6)/3)/x^(3/2) + (2*B*b^6*x^(11/2))/11 + (10*a^3*b^2*x^(3/2)*(4*A*b + 3*B*a))/3 + 2*a^2*b^3*x^(5/2)*(3*A*b + 4*B*a) + 6*a^4*b*x^(1/2)*(5*A*b + 2*B*a) + (6*a*b^4*x^(7/2)*(2*A*b + 5*B*a))/7","B"
754,1,135,155,0.054315,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(7/2),x)","x^{7/2}\,\left(\frac{2\,A\,b^6}{7}+\frac{12\,B\,a\,b^5}{7}\right)-\frac{x\,\left(\frac{2\,B\,a^6}{3}+4\,A\,b\,a^5\right)+\frac{2\,A\,a^6}{5}+x^2\,\left(12\,B\,a^5\,b+30\,A\,a^4\,b^2\right)}{x^{5/2}}+\frac{2\,B\,b^6\,x^{9/2}}{9}+10\,a^3\,b^2\,\sqrt{x}\,\left(4\,A\,b+3\,B\,a\right)+\frac{10\,a^2\,b^3\,x^{3/2}\,\left(3\,A\,b+4\,B\,a\right)}{3}+\frac{6\,a\,b^4\,x^{5/2}\,\left(2\,A\,b+5\,B\,a\right)}{5}","Not used",1,"x^(7/2)*((2*A*b^6)/7 + (12*B*a*b^5)/7) - (x*((2*B*a^6)/3 + 4*A*a^5*b) + (2*A*a^6)/5 + x^2*(30*A*a^4*b^2 + 12*B*a^5*b))/x^(5/2) + (2*B*b^6*x^(9/2))/9 + 10*a^3*b^2*x^(1/2)*(4*A*b + 3*B*a) + (10*a^2*b^3*x^(3/2)*(3*A*b + 4*B*a))/3 + (6*a*b^4*x^(5/2)*(2*A*b + 5*B*a))/5","B"
755,1,138,151,1.146874,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(9/2),x)","x^{5/2}\,\left(\frac{2\,A\,b^6}{5}+\frac{12\,B\,a\,b^5}{5}\right)-\frac{x\,\left(\frac{2\,B\,a^6}{5}+\frac{12\,A\,b\,a^5}{5}\right)+\frac{2\,A\,a^6}{7}+x^2\,\left(4\,B\,a^5\,b+10\,A\,a^4\,b^2\right)+x^3\,\left(30\,B\,a^4\,b^2+40\,A\,a^3\,b^3\right)}{x^{7/2}}+\frac{2\,B\,b^6\,x^{7/2}}{7}+10\,a^2\,b^3\,\sqrt{x}\,\left(3\,A\,b+4\,B\,a\right)+2\,a\,b^4\,x^{3/2}\,\left(2\,A\,b+5\,B\,a\right)","Not used",1,"x^(5/2)*((2*A*b^6)/5 + (12*B*a*b^5)/5) - (x*((2*B*a^6)/5 + (12*A*a^5*b)/5) + (2*A*a^6)/7 + x^2*(10*A*a^4*b^2 + 4*B*a^5*b) + x^3*(40*A*a^3*b^3 + 30*B*a^4*b^2))/x^(7/2) + (2*B*b^6*x^(7/2))/7 + 10*a^2*b^3*x^(1/2)*(3*A*b + 4*B*a) + 2*a*b^4*x^(3/2)*(2*A*b + 5*B*a)","B"
756,1,141,155,1.157022,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/x^(11/2),x)","x^{3/2}\,\left(\frac{2\,A\,b^6}{3}+4\,B\,a\,b^5\right)-\frac{x\,\left(\frac{2\,B\,a^6}{7}+\frac{12\,A\,b\,a^5}{7}\right)+\frac{2\,A\,a^6}{9}+x^2\,\left(\frac{12\,B\,a^5\,b}{5}+6\,A\,a^4\,b^2\right)+x^3\,\left(10\,B\,a^4\,b^2+\frac{40\,A\,a^3\,b^3}{3}\right)+x^4\,\left(40\,B\,a^3\,b^3+30\,A\,a^2\,b^4\right)}{x^{9/2}}+\frac{2\,B\,b^6\,x^{5/2}}{5}+6\,a\,b^4\,\sqrt{x}\,\left(2\,A\,b+5\,B\,a\right)","Not used",1,"x^(3/2)*((2*A*b^6)/3 + 4*B*a*b^5) - (x*((2*B*a^6)/7 + (12*A*a^5*b)/7) + (2*A*a^6)/9 + x^2*(6*A*a^4*b^2 + (12*B*a^5*b)/5) + x^3*((40*A*a^3*b^3)/3 + 10*B*a^4*b^2) + x^4*(30*A*a^2*b^4 + 40*B*a^3*b^3))/x^(9/2) + (2*B*b^6*x^(5/2))/5 + 6*a*b^4*x^(1/2)*(2*A*b + 5*B*a)","B"
757,1,209,154,0.071624,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
758,1,146,130,1.146761,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
759,1,107,108,0.082950,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
760,1,62,85,0.093585,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
761,1,51,63,1.178840,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
762,1,65,88,1.166252,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
763,1,81,107,1.180753,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
764,1,103,131,1.193972,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
765,1,121,153,1.264936,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
766,1,176,173,1.223880,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\sqrt{x}\,\left(\frac{2\,A}{b^4}-\frac{8\,B\,a}{b^5}\right)-\frac{x^{5/2}\,\left(\frac{55\,B\,a^2\,b^2}{8}-\frac{29\,A\,a\,b^3}{8}\right)-x^{3/2}\,\left(\frac{17\,A\,a^2\,b^2}{3}-\frac{35\,B\,a^3\,b}{3}\right)+\sqrt{x}\,\left(\frac{41\,B\,a^4}{8}-\frac{19\,A\,a^3\,b}{8}\right)}{a^3\,b^5+3\,a^2\,b^6\,x+3\,a\,b^7\,x^2+b^8\,x^3}+\frac{2\,B\,x^{3/2}}{3\,b^4}+\frac{35\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\sqrt{x}\,\left(A\,b-3\,B\,a\right)}{3\,B\,a^2-A\,a\,b}\right)\,\left(A\,b-3\,B\,a\right)}{8\,b^{11/2}}","Not used",1,"x^(1/2)*((2*A)/b^4 - (8*B*a)/b^5) - (x^(5/2)*((55*B*a^2*b^2)/8 - (29*A*a*b^3)/8) - x^(3/2)*((17*A*a^2*b^2)/3 - (35*B*a^3*b)/3) + x^(1/2)*((41*B*a^4)/8 - (19*A*a^3*b)/8))/(a^3*b^5 + b^8*x^3 + 3*a^2*b^6*x + 3*a*b^7*x^2) + (2*B*x^(3/2))/(3*b^4) + (35*a^(1/2)*atan((a^(1/2)*b^(1/2)*x^(1/2)*(A*b - 3*B*a))/(3*B*a^2 - A*a*b))*(A*b - 3*B*a))/(8*b^(11/2))","B"
767,1,131,153,1.245033,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,B\,\sqrt{x}}{b^4}-\frac{x^{3/2}\,\left(\frac{5\,A\,a\,b^2}{3}-\frac{17\,B\,a^2\,b}{3}\right)-\sqrt{x}\,\left(\frac{19\,B\,a^3}{8}-\frac{5\,A\,a^2\,b}{8}\right)+x^{5/2}\,\left(\frac{11\,A\,b^3}{8}-\frac{29\,B\,a\,b^2}{8}\right)}{a^3\,b^4+3\,a^2\,b^5\,x+3\,a\,b^6\,x^2+b^7\,x^3}+\frac{5\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-7\,B\,a\right)}{8\,\sqrt{a}\,b^{9/2}}","Not used",1,"(2*B*x^(1/2))/b^4 - (x^(3/2)*((5*A*a*b^2)/3 - (17*B*a^2*b)/3) - x^(1/2)*((19*B*a^3)/8 - (5*A*a^2*b)/8) + x^(5/2)*((11*A*b^3)/8 - (29*B*a*b^2)/8))/(a^3*b^4 + b^7*x^3 + 3*a^2*b^5*x + 3*a*b^6*x^2) + (5*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - 7*B*a))/(8*a^(1/2)*b^(9/2))","B"
768,1,112,130,1.252397,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+5\,B\,a\right)}{8\,a^{3/2}\,b^{7/2}}-\frac{\frac{x^{3/2}\,\left(A\,b+5\,B\,a\right)}{3\,b^2}-\frac{x^{5/2}\,\left(A\,b-11\,B\,a\right)}{8\,a\,b}+\frac{a\,\sqrt{x}\,\left(A\,b+5\,B\,a\right)}{8\,b^3}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"(atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + 5*B*a))/(8*a^(3/2)*b^(7/2)) - ((x^(3/2)*(A*b + 5*B*a))/(3*b^2) - (x^(5/2)*(A*b - 11*B*a))/(8*a*b) + (a*x^(1/2)*(A*b + 5*B*a))/(8*b^3))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
769,1,107,127,1.236075,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{\frac{x^{5/2}\,\left(A\,b+B\,a\right)}{8\,a^2}-\frac{\sqrt{x}\,\left(A\,b+B\,a\right)}{8\,b^2}+\frac{x^{3/2}\,\left(A\,b-B\,a\right)}{3\,a\,b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+B\,a\right)}{8\,a^{5/2}\,b^{5/2}}","Not used",1,"((x^(5/2)*(A*b + B*a))/(8*a^2) - (x^(1/2)*(A*b + B*a))/(8*b^2) + (x^(3/2)*(A*b - B*a))/(3*a*b))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x) + (atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + B*a))/(8*a^(5/2)*b^(5/2))","B"
770,1,112,130,1.225730,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{x^{3/2}\,\left(5\,A\,b+B\,a\right)}{3\,a^2}+\frac{\sqrt{x}\,\left(11\,A\,b-B\,a\right)}{8\,a\,b}+\frac{b\,x^{5/2}\,\left(5\,A\,b+B\,a\right)}{8\,a^3}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(5\,A\,b+B\,a\right)}{8\,a^{7/2}\,b^{3/2}}","Not used",1,"((x^(3/2)*(5*A*b + B*a))/(3*a^2) + (x^(1/2)*(11*A*b - B*a))/(8*a*b) + (b*x^(5/2)*(5*A*b + B*a))/(8*a^3))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x) + (atan((b^(1/2)*x^(1/2))/a^(1/2))*(5*A*b + B*a))/(8*a^(7/2)*b^(3/2))","B"
771,1,147,157,1.277111,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","-\frac{\frac{2\,A}{a}+\frac{11\,x\,\left(7\,A\,b-B\,a\right)}{8\,a^2}+\frac{5\,b^2\,x^3\,\left(7\,A\,b-B\,a\right)}{8\,a^4}+\frac{5\,b\,x^2\,\left(7\,A\,b-B\,a\right)}{3\,a^3}}{a^3\,\sqrt{x}+b^3\,x^{7/2}+3\,a^2\,b\,x^{3/2}+3\,a\,b^2\,x^{5/2}}-\frac{5\,\mathrm{atan}\left(\frac{5\,\sqrt{b}\,\sqrt{x}\,\left(7\,A\,b-B\,a\right)}{\sqrt{a}\,\left(35\,A\,b-5\,B\,a\right)}\right)\,\left(7\,A\,b-B\,a\right)}{8\,a^{9/2}\,\sqrt{b}}","Not used",1,"- ((2*A)/a + (11*x*(7*A*b - B*a))/(8*a^2) + (5*b^2*x^3*(7*A*b - B*a))/(8*a^4) + (5*b*x^2*(7*A*b - B*a))/(3*a^3))/(a^3*x^(1/2) + b^3*x^(7/2) + 3*a^2*b*x^(3/2) + 3*a*b^2*x^(5/2)) - (5*atan((5*b^(1/2)*x^(1/2)*(7*A*b - B*a))/(a^(1/2)*(35*A*b - 5*B*a)))*(7*A*b - B*a))/(8*a^(9/2)*b^(1/2))","B"
772,1,145,178,1.249790,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{2\,x\,\left(3\,A\,b-B\,a\right)}{a^2}-\frac{2\,A}{3\,a}+\frac{35\,b^2\,x^3\,\left(3\,A\,b-B\,a\right)}{3\,a^4}+\frac{35\,b^3\,x^4\,\left(3\,A\,b-B\,a\right)}{8\,a^5}+\frac{77\,b\,x^2\,\left(3\,A\,b-B\,a\right)}{8\,a^3}}{a^3\,x^{3/2}+b^3\,x^{9/2}+3\,a^2\,b\,x^{5/2}+3\,a\,b^2\,x^{7/2}}+\frac{35\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(3\,A\,b-B\,a\right)}{8\,a^{11/2}}","Not used",1,"((2*x*(3*A*b - B*a))/a^2 - (2*A)/(3*a) + (35*b^2*x^3*(3*A*b - B*a))/(3*a^4) + (35*b^3*x^4*(3*A*b - B*a))/(8*a^5) + (77*b*x^2*(3*A*b - B*a))/(8*a^3))/(a^3*x^(3/2) + b^3*x^(9/2) + 3*a^2*b*x^(5/2) + 3*a*b^2*x^(7/2)) + (35*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(3*A*b - B*a))/(8*a^(11/2))","B"
773,1,246,240,1.240973,"\text{Not used}","int((x^(11/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\sqrt{x}\,\left(\frac{2\,A}{b^6}-\frac{12\,B\,a}{b^7}\right)+\frac{x^{3/2}\,\left(\frac{977\,A\,a^4\,b^2}{64}-\frac{9629\,B\,a^5\,b}{192}\right)-x^{9/2}\,\left(\frac{2373\,B\,a^2\,b^4}{128}-\frac{843\,A\,a\,b^5}{128}\right)-\sqrt{x}\,\left(\frac{1467\,B\,a^6}{128}-\frac{437\,A\,a^5\,b}{128}\right)+x^{5/2}\,\left(\frac{131\,A\,a^3\,b^3}{5}-\frac{1253\,B\,a^4\,b^2}{15}\right)+x^{7/2}\,\left(\frac{1327\,A\,a^2\,b^4}{64}-\frac{12131\,B\,a^3\,b^3}{192}\right)}{a^5\,b^7+5\,a^4\,b^8\,x+10\,a^3\,b^9\,x^2+10\,a^2\,b^{10}\,x^3+5\,a\,b^{11}\,x^4+b^{12}\,x^5}+\frac{2\,B\,x^{3/2}}{3\,b^6}+\frac{231\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\sqrt{x}\,\left(3\,A\,b-13\,B\,a\right)}{13\,B\,a^2-3\,A\,a\,b}\right)\,\left(3\,A\,b-13\,B\,a\right)}{128\,b^{15/2}}","Not used",1,"x^(1/2)*((2*A)/b^6 - (12*B*a)/b^7) + (x^(3/2)*((977*A*a^4*b^2)/64 - (9629*B*a^5*b)/192) - x^(9/2)*((2373*B*a^2*b^4)/128 - (843*A*a*b^5)/128) - x^(1/2)*((1467*B*a^6)/128 - (437*A*a^5*b)/128) + x^(5/2)*((131*A*a^3*b^3)/5 - (1253*B*a^4*b^2)/15) + x^(7/2)*((1327*A*a^2*b^4)/64 - (12131*B*a^3*b^3)/192))/(a^5*b^7 + b^12*x^5 + 5*a^4*b^8*x + 5*a*b^11*x^4 + 10*a^3*b^9*x^2 + 10*a^2*b^10*x^3) + (2*B*x^(3/2))/(3*b^6) + (231*a^(1/2)*atan((a^(1/2)*b^(1/2)*x^(1/2)*(3*A*b - 13*B*a))/(13*B*a^2 - 3*A*a*b))*(3*A*b - 13*B*a))/(128*b^(15/2))","B"
774,1,200,213,0.177364,"\text{Not used}","int((x^(9/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,B\,\sqrt{x}}{b^6}-\frac{x^{3/2}\,\left(\frac{147\,A\,a^3\,b^2}{64}-\frac{977\,B\,a^4\,b}{64}\right)-x^{7/2}\,\left(\frac{1327\,B\,a^2\,b^3}{64}-\frac{237\,A\,a\,b^4}{64}\right)-\sqrt{x}\,\left(\frac{437\,B\,a^5}{128}-\frac{63\,A\,a^4\,b}{128}\right)+x^{9/2}\,\left(\frac{193\,A\,b^5}{128}-\frac{843\,B\,a\,b^4}{128}\right)+x^{5/2}\,\left(\frac{21\,A\,a^2\,b^3}{5}-\frac{131\,B\,a^3\,b^2}{5}\right)}{a^5\,b^6+5\,a^4\,b^7\,x+10\,a^3\,b^8\,x^2+10\,a^2\,b^9\,x^3+5\,a\,b^{10}\,x^4+b^{11}\,x^5}+\frac{63\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b-11\,B\,a\right)}{128\,\sqrt{a}\,b^{13/2}}","Not used",1,"(2*B*x^(1/2))/b^6 - (x^(3/2)*((147*A*a^3*b^2)/64 - (977*B*a^4*b)/64) - x^(7/2)*((1327*B*a^2*b^3)/64 - (237*A*a*b^4)/64) - x^(1/2)*((437*B*a^5)/128 - (63*A*a^4*b)/128) + x^(9/2)*((193*A*b^5)/128 - (843*B*a*b^4)/128) + x^(5/2)*((21*A*a^2*b^3)/5 - (131*B*a^3*b^2)/5))/(a^5*b^6 + b^11*x^5 + 5*a^4*b^7*x + 5*a*b^10*x^4 + 10*a^3*b^8*x^2 + 10*a^2*b^9*x^3) + (63*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b - 11*B*a))/(128*a^(1/2)*b^(13/2))","B"
775,1,173,190,1.275352,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{7\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+9\,B\,a\right)}{128\,a^{3/2}\,b^{11/2}}-\frac{\frac{79\,x^{7/2}\,\left(A\,b+9\,B\,a\right)}{192\,b^2}+\frac{49\,a^2\,x^{3/2}\,\left(A\,b+9\,B\,a\right)}{192\,b^4}+\frac{7\,a^3\,\sqrt{x}\,\left(A\,b+9\,B\,a\right)}{128\,b^5}-\frac{x^{9/2}\,\left(7\,A\,b-193\,B\,a\right)}{128\,a\,b}+\frac{7\,a\,x^{5/2}\,\left(A\,b+9\,B\,a\right)}{15\,b^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"(7*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + 9*B*a))/(128*a^(3/2)*b^(11/2)) - ((79*x^(7/2)*(A*b + 9*B*a))/(192*b^2) + (49*a^2*x^(3/2)*(A*b + 9*B*a))/(192*b^4) + (7*a^3*x^(1/2)*(A*b + 9*B*a))/(128*b^5) - (x^(9/2)*(7*A*b - 193*B*a))/(128*a*b) + (7*a*x^(5/2)*(A*b + 9*B*a))/(15*b^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
776,1,175,195,1.240898,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(3\,A\,b+7\,B\,a\right)}{128\,a^{5/2}\,b^{9/2}}-\frac{\frac{x^{5/2}\,\left(3\,A\,b+7\,B\,a\right)}{15\,b^2}-\frac{x^{9/2}\,\left(3\,A\,b+7\,B\,a\right)}{128\,a^2}+\frac{a^2\,\sqrt{x}\,\left(3\,A\,b+7\,B\,a\right)}{128\,b^4}-\frac{x^{7/2}\,\left(21\,A\,b-79\,B\,a\right)}{192\,a\,b}+\frac{7\,a\,x^{3/2}\,\left(3\,A\,b+7\,B\,a\right)}{192\,b^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}","Not used",1,"(atan((b^(1/2)*x^(1/2))/a^(1/2))*(3*A*b + 7*B*a))/(128*a^(5/2)*b^(9/2)) - ((x^(5/2)*(3*A*b + 7*B*a))/(15*b^2) - (x^(9/2)*(3*A*b + 7*B*a))/(128*a^2) + (a^2*x^(1/2)*(3*A*b + 7*B*a))/(128*b^4) - (x^(7/2)*(21*A*b - 79*B*a))/(192*a*b) + (7*a*x^(3/2)*(3*A*b + 7*B*a))/(192*b^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x)","B"
777,1,161,185,1.230319,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{7\,x^{7/2}\,\left(A\,b+B\,a\right)}{64\,a^2}-\frac{7\,x^{3/2}\,\left(A\,b+B\,a\right)}{64\,b^2}+\frac{x^{5/2}\,\left(A\,b-B\,a\right)}{5\,a\,b}-\frac{3\,a\,\sqrt{x}\,\left(A\,b+B\,a\right)}{128\,b^3}+\frac{3\,b\,x^{9/2}\,\left(A\,b+B\,a\right)}{128\,a^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(A\,b+B\,a\right)}{128\,a^{7/2}\,b^{7/2}}","Not used",1,"((7*x^(7/2)*(A*b + B*a))/(64*a^2) - (7*x^(3/2)*(A*b + B*a))/(64*b^2) + (x^(5/2)*(A*b - B*a))/(5*a*b) - (3*a*x^(1/2)*(A*b + B*a))/(128*b^3) + (3*b*x^(9/2)*(A*b + B*a))/(128*a^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x) + (3*atan((b^(1/2)*x^(1/2))/a^(1/2))*(A*b + B*a))/(128*a^(7/2)*b^(7/2))","B"
778,1,174,195,1.256336,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{x^{5/2}\,\left(7\,A\,b+3\,B\,a\right)}{15\,a^2}-\frac{\sqrt{x}\,\left(7\,A\,b+3\,B\,a\right)}{128\,b^2}+\frac{b^2\,x^{9/2}\,\left(7\,A\,b+3\,B\,a\right)}{128\,a^4}+\frac{x^{3/2}\,\left(79\,A\,b-21\,B\,a\right)}{192\,a\,b}+\frac{7\,b\,x^{7/2}\,\left(7\,A\,b+3\,B\,a\right)}{192\,a^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(7\,A\,b+3\,B\,a\right)}{128\,a^{9/2}\,b^{5/2}}","Not used",1,"((x^(5/2)*(7*A*b + 3*B*a))/(15*a^2) - (x^(1/2)*(7*A*b + 3*B*a))/(128*b^2) + (b^2*x^(9/2)*(7*A*b + 3*B*a))/(128*a^4) + (x^(3/2)*(79*A*b - 21*B*a))/(192*a*b) + (7*b*x^(7/2)*(7*A*b + 3*B*a))/(192*a^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x) + (atan((b^(1/2)*x^(1/2))/a^(1/2))*(7*A*b + 3*B*a))/(128*a^(9/2)*b^(5/2))","B"
779,1,172,190,1.238979,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{79\,x^{3/2}\,\left(9\,A\,b+B\,a\right)}{192\,a^2}+\frac{49\,b^2\,x^{7/2}\,\left(9\,A\,b+B\,a\right)}{192\,a^4}+\frac{7\,b^3\,x^{9/2}\,\left(9\,A\,b+B\,a\right)}{128\,a^5}+\frac{\sqrt{x}\,\left(193\,A\,b-7\,B\,a\right)}{128\,a\,b}+\frac{7\,b\,x^{5/2}\,\left(9\,A\,b+B\,a\right)}{15\,a^3}}{a^5+5\,a^4\,b\,x+10\,a^3\,b^2\,x^2+10\,a^2\,b^3\,x^3+5\,a\,b^4\,x^4+b^5\,x^5}+\frac{7\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(9\,A\,b+B\,a\right)}{128\,a^{11/2}\,b^{3/2}}","Not used",1,"((79*x^(3/2)*(9*A*b + B*a))/(192*a^2) + (49*b^2*x^(7/2)*(9*A*b + B*a))/(192*a^4) + (7*b^3*x^(9/2)*(9*A*b + B*a))/(128*a^5) + (x^(1/2)*(193*A*b - 7*B*a))/(128*a*b) + (7*b*x^(5/2)*(9*A*b + B*a))/(15*a^3))/(a^5 + b^5*x^5 + 5*a*b^4*x^4 + 10*a^3*b^2*x^2 + 10*a^2*b^3*x^3 + 5*a^4*b*x) + (7*atan((b^(1/2)*x^(1/2))/a^(1/2))*(9*A*b + B*a))/(128*a^(11/2)*b^(3/2))","B"
780,1,209,219,1.359518,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","-\frac{\frac{2\,A}{a}+\frac{193\,x\,\left(11\,A\,b-B\,a\right)}{128\,a^2}+\frac{21\,b^2\,x^3\,\left(11\,A\,b-B\,a\right)}{5\,a^4}+\frac{147\,b^3\,x^4\,\left(11\,A\,b-B\,a\right)}{64\,a^5}+\frac{63\,b^4\,x^5\,\left(11\,A\,b-B\,a\right)}{128\,a^6}+\frac{237\,b\,x^2\,\left(11\,A\,b-B\,a\right)}{64\,a^3}}{a^5\,\sqrt{x}+b^5\,x^{11/2}+5\,a^4\,b\,x^{3/2}+5\,a\,b^4\,x^{9/2}+10\,a^3\,b^2\,x^{5/2}+10\,a^2\,b^3\,x^{7/2}}-\frac{63\,\mathrm{atan}\left(\frac{63\,\sqrt{b}\,\sqrt{x}\,\left(11\,A\,b-B\,a\right)}{\sqrt{a}\,\left(693\,A\,b-63\,B\,a\right)}\right)\,\left(11\,A\,b-B\,a\right)}{128\,a^{13/2}\,\sqrt{b}}","Not used",1,"- ((2*A)/a + (193*x*(11*A*b - B*a))/(128*a^2) + (21*b^2*x^3*(11*A*b - B*a))/(5*a^4) + (147*b^3*x^4*(11*A*b - B*a))/(64*a^5) + (63*b^4*x^5*(11*A*b - B*a))/(128*a^6) + (237*b*x^2*(11*A*b - B*a))/(64*a^3))/(a^5*x^(1/2) + b^5*x^(11/2) + 5*a^4*b*x^(3/2) + 5*a*b^4*x^(9/2) + 10*a^3*b^2*x^(5/2) + 10*a^2*b^3*x^(7/2)) - (63*atan((63*b^(1/2)*x^(1/2)*(11*A*b - B*a))/(a^(1/2)*(693*A*b - 63*B*a)))*(11*A*b - B*a))/(128*a^(13/2)*b^(1/2))","B"
781,1,207,240,1.329610,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{2\,x\,\left(13\,A\,b-3\,B\,a\right)}{3\,a^2}-\frac{2\,A}{3\,a}+\frac{869\,b^2\,x^3\,\left(13\,A\,b-3\,B\,a\right)}{64\,a^4}+\frac{77\,b^3\,x^4\,\left(13\,A\,b-3\,B\,a\right)}{5\,a^5}+\frac{539\,b^4\,x^5\,\left(13\,A\,b-3\,B\,a\right)}{64\,a^6}+\frac{231\,b^5\,x^6\,\left(13\,A\,b-3\,B\,a\right)}{128\,a^7}+\frac{2123\,b\,x^2\,\left(13\,A\,b-3\,B\,a\right)}{384\,a^3}}{a^5\,x^{3/2}+b^5\,x^{13/2}+5\,a^4\,b\,x^{5/2}+5\,a\,b^4\,x^{11/2}+10\,a^3\,b^2\,x^{7/2}+10\,a^2\,b^3\,x^{9/2}}+\frac{231\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{x}}{\sqrt{a}}\right)\,\left(13\,A\,b-3\,B\,a\right)}{128\,a^{15/2}}","Not used",1,"((2*x*(13*A*b - 3*B*a))/(3*a^2) - (2*A)/(3*a) + (869*b^2*x^3*(13*A*b - 3*B*a))/(64*a^4) + (77*b^3*x^4*(13*A*b - 3*B*a))/(5*a^5) + (539*b^4*x^5*(13*A*b - 3*B*a))/(64*a^6) + (231*b^5*x^6*(13*A*b - 3*B*a))/(128*a^7) + (2123*b*x^2*(13*A*b - 3*B*a))/(384*a^3))/(a^5*x^(3/2) + b^5*x^(13/2) + 5*a^4*b*x^(5/2) + 5*a*b^4*x^(11/2) + 10*a^3*b^2*x^(7/2) + 10*a^2*b^3*x^(9/2)) + (231*b^(1/2)*atan((b^(1/2)*x^(1/2))/a^(1/2))*(13*A*b - 3*B*a))/(128*a^(15/2))","B"
782,0,-1,120,0.000000,"\text{Not used}","int(x^(7/2)*((a + b*x)^2)^(1/2)*(A + B*x),x)","\int x^{7/2}\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(7/2)*((a + b*x)^2)^(1/2)*(A + B*x), x)","F"
783,0,-1,120,0.000000,"\text{Not used}","int(x^(5/2)*((a + b*x)^2)^(1/2)*(A + B*x),x)","\int x^{5/2}\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(5/2)*((a + b*x)^2)^(1/2)*(A + B*x), x)","F"
784,0,-1,120,0.000000,"\text{Not used}","int(x^(3/2)*((a + b*x)^2)^(1/2)*(A + B*x),x)","\int x^{3/2}\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(3/2)*((a + b*x)^2)^(1/2)*(A + B*x), x)","F"
785,0,-1,120,0.000000,"\text{Not used}","int(x^(1/2)*((a + b*x)^2)^(1/2)*(A + B*x),x)","\int \sqrt{x}\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right) \,d x","Not used",1,"int(x^(1/2)*((a + b*x)^2)^(1/2)*(A + B*x), x)","F"
786,1,56,118,1.311635,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^(1/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^3}{5}+\frac{x^2\,\left(10\,A\,b+10\,B\,a\right)}{15\,b}+\frac{2\,A\,a\,x}{b}\right)}{x^{3/2}+\frac{a\,\sqrt{x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((2*B*x^3)/5 + (x^2*(10*A*b + 10*B*a))/(15*b) + (2*A*a*x)/b))/(x^(3/2) + (a*x^(1/2))/b)","B"
787,1,53,116,1.320927,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^(3/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^2}{3}-\frac{2\,A\,a}{b}+\frac{x\,\left(6\,A\,b+6\,B\,a\right)}{3\,b}\right)}{x^{3/2}+\frac{a\,\sqrt{x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((2*B*x^2)/3 - (2*A*a)/b + (x*(6*A*b + 6*B*a))/(3*b)))/(x^(3/2) + (a*x^(1/2))/b)","B"
788,1,54,116,1.363807,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^(5/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,A\,a}{3\,b}-2\,B\,x^2+\frac{x\,\left(6\,A\,b+6\,B\,a\right)}{3\,b}\right)}{x^{5/2}+\frac{a\,x^{3/2}}{b}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((2*A*a)/(3*b) - 2*B*x^2 + (x*(6*A*b + 6*B*a))/(3*b)))/(x^(5/2) + (a*x^(3/2))/b)","B"
789,1,54,118,1.357811,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^(7/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(2\,B\,x^2+\frac{2\,A\,a}{5\,b}+\frac{x\,\left(10\,A\,b+10\,B\,a\right)}{15\,b}\right)}{x^{7/2}+\frac{a\,x^{5/2}}{b}}","Not used",1,"-(((a + b*x)^2)^(1/2)*(2*B*x^2 + (2*A*a)/(5*b) + (x*(10*A*b + 10*B*a))/(15*b)))/(x^(7/2) + (a*x^(5/2))/b)","B"
790,1,54,120,1.354216,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/x^(9/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^2}{3}+\frac{2\,A\,a}{7\,b}+\frac{x\,\left(42\,A\,b+42\,B\,a\right)}{105\,b}\right)}{x^{9/2}+\frac{a\,x^{7/2}}{b}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((2*B*x^2)/3 + (2*A*a)/(7*b) + (x*(42*A*b + 42*B*a))/(105*b)))/(x^(9/2) + (a*x^(7/2))/b)","B"
791,0,-1,220,0.000000,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^{7/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
792,0,-1,220,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^{5/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
793,0,-1,220,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int x^{3/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
794,0,-1,220,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \sqrt{x}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
795,0,-1,218,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(1/2), x)","F"
796,1,107,214,1.635112,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x\,\left(70\,B\,a^3+210\,A\,b\,a^2\right)}{35\,b}-\frac{2\,A\,a^3}{b}+\frac{2\,B\,b^2\,x^4}{7}+\frac{x^3\,\left(14\,A\,b^3+42\,B\,a\,b^2\right)}{35\,b}+2\,a\,x^2\,\left(A\,b+B\,a\right)\right)}{x^{3/2}+\frac{a\,\sqrt{x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x*(70*B*a^3 + 210*A*a^2*b))/(35*b) - (2*A*a^3)/b + (2*B*b^2*x^4)/7 + (x^3*(14*A*b^3 + 42*B*a*b^2))/(35*b) + 2*a*x^2*(A*b + B*a)))/(x^(3/2) + (a*x^(1/2))/b)","B"
797,0,-1,216,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(5/2), x)","F"
798,0,-1,216,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(7/2), x)","F"
799,0,-1,214,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(9/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{x^{9/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/x^(9/2), x)","F"
800,0,-1,320,0.000000,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^{7/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^(7/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
801,0,-1,320,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^{5/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^(5/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
802,0,-1,320,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int x^{3/2}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
803,0,-1,320,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \sqrt{x}\,\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
804,0,-1,316,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(1/2), x)","F"
805,1,140,314,1.852712,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,B\,b^4\,x^6}{11}-\frac{2\,A\,a^5}{b}+\frac{10\,a^3\,x^2\,\left(2\,A\,b+B\,a\right)}{3}+\frac{x^5\,\left(154\,A\,b^5+770\,B\,a\,b^4\right)}{693\,b}+4\,a^2\,b\,x^3\,\left(A\,b+B\,a\right)+\frac{10\,a\,b^2\,x^4\,\left(A\,b+2\,B\,a\right)}{7}+\frac{2\,a^4\,x\,\left(5\,A\,b+B\,a\right)}{b}\right)}{x^{3/2}+\frac{a\,\sqrt{x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*B*b^4*x^6)/11 - (2*A*a^5)/b + (10*a^3*x^2*(2*A*b + B*a))/3 + (x^5*(154*A*b^5 + 770*B*a*b^4))/(693*b) + 4*a^2*b*x^3*(A*b + B*a) + (10*a*b^2*x^4*(A*b + 2*B*a))/7 + (2*a^4*x*(5*A*b + B*a))/b))/(x^(3/2) + (a*x^(1/2))/b)","B"
806,0,-1,314,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(5/2), x)","F"
807,0,-1,316,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(7/2), x)","F"
808,0,-1,316,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(9/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{x^{9/2}} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/x^(9/2), x)","F"
809,0,-1,286,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
810,0,-1,238,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
811,0,-1,190,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
812,0,-1,144,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/((a + b*x)^2)^(1/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/((a + b*x)^2)^(1/2), x)","F"
813,0,-1,99,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*((a + b*x)^2)^(1/2)), x)","F"
814,0,-1,99,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*((a + b*x)^2)^(1/2)), x)","F"
815,0,-1,144,0.000000,"\text{Not used}","int((A + B*x)/(x^(5/2)*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{5/2}\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^(5/2)*((a + b*x)^2)^(1/2)), x)","F"
816,0,-1,190,0.000000,"\text{Not used}","int((A + B*x)/(x^(7/2)*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{7/2}\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^(7/2)*((a + b*x)^2)^(1/2)), x)","F"
817,0,-1,238,0.000000,"\text{Not used}","int((A + B*x)/(x^(9/2)*((a + b*x)^2)^(1/2)),x)","\int \frac{A+B\,x}{x^{9/2}\,\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((A + B*x)/(x^(9/2)*((a + b*x)^2)^(1/2)), x)","F"
818,0,-1,302,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
819,0,-1,255,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
820,0,-1,206,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
821,0,-1,158,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
822,0,-1,158,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
823,0,-1,209,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
824,0,-1,255,0.000000,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
825,0,-1,302,0.000000,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{x^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
826,0,-1,404,0.000000,"\text{Not used}","int((x^(11/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^{11/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(11/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
827,0,-1,357,0.000000,"\text{Not used}","int((x^(9/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^{9/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(9/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
828,0,-1,306,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^{7/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
829,0,-1,258,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^{5/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
830,0,-1,262,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{x^{3/2}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
831,0,-1,262,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\sqrt{x}\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
832,0,-1,258,0.000000,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
833,0,-1,311,0.000000,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{x^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
834,0,-1,357,0.000000,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{x^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
835,0,-1,404,0.000000,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{x^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
836,1,729,179,1.770254,"\text{Not used}","int(x^m*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{A\,a^6\,x\,x^m\,\left(m^7+35\,m^6+511\,m^5+4025\,m^4+18424\,m^3+48860\,m^2+69264\,m+40320\right)}{m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320}+\frac{B\,b^6\,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{a^5\,x^m\,x^2\,\left(6\,A\,b+B\,a\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^5\,x^m\,x^7\,\left(A\,b+6\,B\,a\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{3\,a\,b^4\,x^m\,x^6\,\left(2\,A\,b+5\,B\,a\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{3\,a^4\,b\,x^m\,x^3\,\left(5\,A\,b+2\,B\,a\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{5\,a^2\,b^3\,x^m\,x^5\,\left(3\,A\,b+4\,B\,a\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\,a^3\,b^2\,x^m\,x^4\,\left(4\,A\,b+3\,B\,a\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,"(A*a^6*x*x^m*(69264*m + 48860*m^2 + 18424*m^3 + 4025*m^4 + 511*m^5 + 35*m^6 + m^7 + 40320))/(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320) + (B*b^6*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) + (a^5*x^m*x^2*(6*A*b + B*a)*(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^5*x^m*x^7*(A*b + 6*B*a)*(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) + (3*a*b^4*x^m*x^6*(2*A*b + 5*B*a)*(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^4*b*x^m*x^3*(5*A*b + 2*B*a)*(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) + (5*a^2*b^3*x^m*x^5*(3*A*b + 4*B*a)*(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*a^3*b^2*x^m*x^4*(4*A*b + 3*B*a)*(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"
837,1,417,125,1.476071,"\text{Not used}","int(x^m*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,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"
838,1,177,71,1.292713,"\text{Not used}","int(x^m*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
839,0,-1,73,0.000000,"\text{Not used}","int((x^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\int \frac{x^m\,\left(A+B\,x\right)}{a^2+2\,a\,b\,x+b^2\,x^2} \,d x","Not used",1,"int((x^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x), x)","F"
840,0,-1,81,0.000000,"\text{Not used}","int((x^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\int \frac{x^m\,\left(A+B\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^2} \,d x","Not used",1,"int((x^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2, x)","F"
841,1,1459,143,2.065674,"\text{Not used}","int(x^m*(x + 1)*(2*x + x^2 + 1)^5,x)","\frac{x^m\,x^8\,\left(330\,m^{11}+23100\,m^{10}+711810\,m^9+12709620\,m^8+145645830\,m^7+1120622580\,m^6+5881795590\,m^5+20948784780\,m^4+49287977640\,m^3+72321091920\,m^2+58845916800\,m+19758816000\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^{10}\,\left(55\,m^{11}+3740\,m^{10}+112035\,m^9+1947000\,m^8+21750465\,m^7+163460220\,m^6+839860505\,m^5+2935253200\,m^4+6793843980\,m^3+9832379040\,m^2+7911984960\,m+2634508800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^2\,\left(11\,m^{11}+836\,m^{10}+28215\,m^9+557040\,m^8+7130013\,m^7+61932948\,m^6+371026645\,m^5+1524718360\,m^4+4179838476\,m^3+7194486816\,m^2+6858181440\,m+2634508800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^{11}\,\left(11\,m^{11}+737\,m^{10}+21780\,m^9+373890\,m^8+4131303\,m^7+30748641\,m^6+156657490\,m^5+543539260\,m^4+1250343336\,m^3+1800387072\,m^2+1442897280\,m+479001600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^6\,\left(462\,m^{11}+33264\,m^{10}+1055670\,m^9+19431720\,m^8+229661586\,m^7+1822135392\,m^6+9852674370\,m^5+36088363080\,m^4+87099379752\,m^3+130678599744\,m^2+108308914560\,m+36883123200\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^7\,\left(462\,m^{11}+32802\,m^{10}+1025640\,m^9+18586260\,m^8+216148086\,m^7+1687068306\,m^6+8976008580\,m^5+32372349240\,m^4+77023113552\,m^3+114113083392\,m^2+93588929280\,m+31614105600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^{12}\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^5\,\left(330\,m^{11}+24090\,m^{10}+776160\,m^9+14523300\,m^8+174706290\,m^7+1412257770\,m^6+7785487380\,m^5+29075712600\,m^4+71499692880\,m^3+109126448640\,m^2+91782408960\,m+31614105600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^4\,\left(165\,m^{11}+12210\,m^{10}+399465\,m^9+7604190\,m^8+93244635\,m^7+769916070\,m^6+4343723835\,m^5+16626679410\,m^4+41932410300\,m^3+65582815320\,m^2+56376064800\,m+19758816000\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^9\,\left(165\,m^{11}+11385\,m^{10}+345840\,m^9+6089490\,m^8+68855985\,m^7+523190745\,m^6+2714671410\,m^5+9569532060\,m^4+22313339400\,m^3+32492401920\,m^2+26275708800\,m+8781696000\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^3\,\left(55\,m^{11}+4125\,m^{10}+137060\,m^9+2656170\,m^8+33251955\,m^7+281209005\,m^6+1630835690\,m^5+6441351180\,m^4+16822322440\,m^3+27303851520\,m^2+24324220800\,m+8781696000\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x\,x^m\,\left(m^{11}+77\,m^{10}+2640\,m^9+53130\,m^8+696333\,m^7+6230301\,m^6+38759930\,m^5+167310220\,m^4+489896616\,m^3+924118272\,m^2+1007441280\,m+479001600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}","Not used",1,"(x^m*x^8*(58845916800*m + 72321091920*m^2 + 49287977640*m^3 + 20948784780*m^4 + 5881795590*m^5 + 1120622580*m^6 + 145645830*m^7 + 12709620*m^8 + 711810*m^9 + 23100*m^10 + 330*m^11 + 19758816000))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^10*(7911984960*m + 9832379040*m^2 + 6793843980*m^3 + 2935253200*m^4 + 839860505*m^5 + 163460220*m^6 + 21750465*m^7 + 1947000*m^8 + 112035*m^9 + 3740*m^10 + 55*m^11 + 2634508800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^2*(6858181440*m + 7194486816*m^2 + 4179838476*m^3 + 1524718360*m^4 + 371026645*m^5 + 61932948*m^6 + 7130013*m^7 + 557040*m^8 + 28215*m^9 + 836*m^10 + 11*m^11 + 2634508800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^11*(1442897280*m + 1800387072*m^2 + 1250343336*m^3 + 543539260*m^4 + 156657490*m^5 + 30748641*m^6 + 4131303*m^7 + 373890*m^8 + 21780*m^9 + 737*m^10 + 11*m^11 + 479001600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^6*(108308914560*m + 130678599744*m^2 + 87099379752*m^3 + 36088363080*m^4 + 9852674370*m^5 + 1822135392*m^6 + 229661586*m^7 + 19431720*m^8 + 1055670*m^9 + 33264*m^10 + 462*m^11 + 36883123200))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^7*(93588929280*m + 114113083392*m^2 + 77023113552*m^3 + 32372349240*m^4 + 8976008580*m^5 + 1687068306*m^6 + 216148086*m^7 + 18586260*m^8 + 1025640*m^9 + 32802*m^10 + 462*m^11 + 31614105600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^12*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^5*(91782408960*m + 109126448640*m^2 + 71499692880*m^3 + 29075712600*m^4 + 7785487380*m^5 + 1412257770*m^6 + 174706290*m^7 + 14523300*m^8 + 776160*m^9 + 24090*m^10 + 330*m^11 + 31614105600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^4*(56376064800*m + 65582815320*m^2 + 41932410300*m^3 + 16626679410*m^4 + 4343723835*m^5 + 769916070*m^6 + 93244635*m^7 + 7604190*m^8 + 399465*m^9 + 12210*m^10 + 165*m^11 + 19758816000))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^9*(26275708800*m + 32492401920*m^2 + 22313339400*m^3 + 9569532060*m^4 + 2714671410*m^5 + 523190745*m^6 + 68855985*m^7 + 6089490*m^8 + 345840*m^9 + 11385*m^10 + 165*m^11 + 8781696000))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^3*(24324220800*m + 27303851520*m^2 + 16822322440*m^3 + 6441351180*m^4 + 1630835690*m^5 + 281209005*m^6 + 33251955*m^7 + 2656170*m^8 + 137060*m^9 + 4125*m^10 + 55*m^11 + 8781696000))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x*x^m*(1007441280*m + 924118272*m^2 + 489896616*m^3 + 167310220*m^4 + 38759930*m^5 + 6230301*m^6 + 696333*m^7 + 53130*m^8 + 2640*m^9 + 77*m^10 + m^11 + 479001600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600)","B"
842,1,1515,209,2.453868,"\text{Not used}","int(x^m*(d + e*x)*(2*x + x^2 + 1)^5,x)","\frac{e\,x^m\,x^{12}\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^{11}\,\left(d+10\,e\right)\,\left(m^{11}+67\,m^{10}+1980\,m^9+33990\,m^8+375573\,m^7+2795331\,m^6+14241590\,m^5+49412660\,m^4+113667576\,m^3+163671552\,m^2+131172480\,m+43545600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{d\,x\,x^m\,\left(m^{11}+77\,m^{10}+2640\,m^9+53130\,m^8+696333\,m^7+6230301\,m^6+38759930\,m^5+167310220\,m^4+489896616\,m^3+924118272\,m^2+1007441280\,m+479001600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{x^m\,x^2\,\left(10\,d+e\right)\,\left(m^{11}+76\,m^{10}+2565\,m^9+50640\,m^8+648183\,m^7+5630268\,m^6+33729695\,m^5+138610760\,m^4+379985316\,m^3+654044256\,m^2+623471040\,m+239500800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{5\,x^m\,x^{10}\,\left(2\,d+9\,e\right)\,\left(m^{11}+68\,m^{10}+2037\,m^9+35400\,m^8+395463\,m^7+2972004\,m^6+15270191\,m^5+53368240\,m^4+123524436\,m^3+178770528\,m^2+143854272\,m+47900160\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{15\,x^m\,x^9\,\left(3\,d+8\,e\right)\,\left(m^{11}+69\,m^{10}+2096\,m^9+36906\,m^8+417309\,m^7+3170853\,m^6+16452554\,m^5+57997164\,m^4+135232360\,m^3+196923648\,m^2+159246720\,m+53222400\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{30\,x^m\,x^8\,\left(4\,d+7\,e\right)\,\left(m^{11}+70\,m^{10}+2157\,m^9+38514\,m^8+441351\,m^7+3395826\,m^6+17823623\,m^5+63481166\,m^4+149357508\,m^3+219154824\,m^2+178320960\,m+59875200\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{42\,x^m\,x^7\,\left(5\,d+6\,e\right)\,\left(m^{11}+71\,m^{10}+2220\,m^9+40230\,m^8+467853\,m^7+3651663\,m^6+19428590\,m^5+70070020\,m^4+166716696\,m^3+246998016\,m^2+202573440\,m+68428800\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{42\,x^m\,x^6\,\left(6\,d+5\,e\right)\,\left(m^{11}+72\,m^{10}+2285\,m^9+42060\,m^8+497103\,m^7+3944016\,m^6+21326135\,m^5+78113340\,m^4+188526796\,m^3+282854112\,m^2+234434880\,m+79833600\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{30\,x^m\,x^5\,\left(7\,d+4\,e\right)\,\left(m^{11}+73\,m^{10}+2352\,m^9+44010\,m^8+529413\,m^7+4279569\,m^6+23592386\,m^5+88108220\,m^4+216665736\,m^3+330686208\,m^2+278128512\,m+95800320\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{15\,x^m\,x^4\,\left(8\,d+3\,e\right)\,\left(m^{11}+74\,m^{10}+2421\,m^9+46086\,m^8+565119\,m^7+4666158\,m^6+26325599\,m^5+100767754\,m^4+254135820\,m^3+397471608\,m^2+341673120\,m+119750400\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}+\frac{5\,x^m\,x^3\,\left(9\,d+2\,e\right)\,\left(m^{11}+75\,m^{10}+2492\,m^9+48294\,m^8+604581\,m^7+5112891\,m^6+29651558\,m^5+117115476\,m^4+305860408\,m^3+496433664\,m^2+442258560\,m+159667200\right)}{m^{12}+78\,m^{11}+2717\,m^{10}+55770\,m^9+749463\,m^8+6926634\,m^7+44990231\,m^6+206070150\,m^5+657206836\,m^4+1414014888\,m^3+1931559552\,m^2+1486442880\,m+479001600}","Not used",1,"(e*x^m*x^12*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^11*(d + 10*e)*(131172480*m + 163671552*m^2 + 113667576*m^3 + 49412660*m^4 + 14241590*m^5 + 2795331*m^6 + 375573*m^7 + 33990*m^8 + 1980*m^9 + 67*m^10 + m^11 + 43545600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (d*x*x^m*(1007441280*m + 924118272*m^2 + 489896616*m^3 + 167310220*m^4 + 38759930*m^5 + 6230301*m^6 + 696333*m^7 + 53130*m^8 + 2640*m^9 + 77*m^10 + m^11 + 479001600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (x^m*x^2*(10*d + e)*(623471040*m + 654044256*m^2 + 379985316*m^3 + 138610760*m^4 + 33729695*m^5 + 5630268*m^6 + 648183*m^7 + 50640*m^8 + 2565*m^9 + 76*m^10 + m^11 + 239500800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (5*x^m*x^10*(2*d + 9*e)*(143854272*m + 178770528*m^2 + 123524436*m^3 + 53368240*m^4 + 15270191*m^5 + 2972004*m^6 + 395463*m^7 + 35400*m^8 + 2037*m^9 + 68*m^10 + m^11 + 47900160))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (15*x^m*x^9*(3*d + 8*e)*(159246720*m + 196923648*m^2 + 135232360*m^3 + 57997164*m^4 + 16452554*m^5 + 3170853*m^6 + 417309*m^7 + 36906*m^8 + 2096*m^9 + 69*m^10 + m^11 + 53222400))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (30*x^m*x^8*(4*d + 7*e)*(178320960*m + 219154824*m^2 + 149357508*m^3 + 63481166*m^4 + 17823623*m^5 + 3395826*m^6 + 441351*m^7 + 38514*m^8 + 2157*m^9 + 70*m^10 + m^11 + 59875200))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (42*x^m*x^7*(5*d + 6*e)*(202573440*m + 246998016*m^2 + 166716696*m^3 + 70070020*m^4 + 19428590*m^5 + 3651663*m^6 + 467853*m^7 + 40230*m^8 + 2220*m^9 + 71*m^10 + m^11 + 68428800))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (42*x^m*x^6*(6*d + 5*e)*(234434880*m + 282854112*m^2 + 188526796*m^3 + 78113340*m^4 + 21326135*m^5 + 3944016*m^6 + 497103*m^7 + 42060*m^8 + 2285*m^9 + 72*m^10 + m^11 + 79833600))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (30*x^m*x^5*(7*d + 4*e)*(278128512*m + 330686208*m^2 + 216665736*m^3 + 88108220*m^4 + 23592386*m^5 + 4279569*m^6 + 529413*m^7 + 44010*m^8 + 2352*m^9 + 73*m^10 + m^11 + 95800320))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (15*x^m*x^4*(8*d + 3*e)*(341673120*m + 397471608*m^2 + 254135820*m^3 + 100767754*m^4 + 26325599*m^5 + 4666158*m^6 + 565119*m^7 + 46086*m^8 + 2421*m^9 + 74*m^10 + m^11 + 119750400))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600) + (5*x^m*x^3*(9*d + 2*e)*(442258560*m + 496433664*m^2 + 305860408*m^3 + 117115476*m^4 + 29651558*m^5 + 5112891*m^6 + 604581*m^7 + 48294*m^8 + 2492*m^9 + 75*m^10 + m^11 + 159667200))/(1486442880*m + 1931559552*m^2 + 1414014888*m^3 + 657206836*m^4 + 206070150*m^5 + 44990231*m^6 + 6926634*m^7 + 749463*m^8 + 55770*m^9 + 2717*m^10 + 78*m^11 + m^12 + 479001600)","B"
843,1,41,47,0.046000,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,x^7}{7}+\left(\frac{A\,c}{6}+\frac{B\,b}{6}\right)\,x^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) + x^6*((A*c)/6 + (B*b)/6) + (A*a*x^4)/4 + (B*c*x^7)/7","B"
844,1,41,47,0.041548,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,x^6}{6}+\left(\frac{A\,c}{5}+\frac{B\,b}{5}\right)\,x^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) + x^5*((A*c)/5 + (B*b)/5) + (A*a*x^3)/3 + (B*c*x^6)/6","B"
845,1,41,47,0.040497,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,x^5}{5}+\left(\frac{A\,c}{4}+\frac{B\,b}{4}\right)\,x^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) + x^4*((A*c)/4 + (B*b)/4) + (A*a*x^2)/2 + (B*c*x^5)/5","B"
846,1,38,42,0.040941,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^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) + x^3*((A*c)/3 + (B*b)/3) + A*a*x + (B*c*x^4)/4","B"
847,1,35,38,0.036074,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x,x)","x\,\left(A\,b+B\,a\right)+x^2\,\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)+\frac{B\,c\,x^3}{3}+A\,a\,\ln\left(x\right)","Not used",1,"x*(A*b + B*a) + x^2*((A*c)/2 + (B*b)/2) + (B*c*x^3)/3 + A*a*log(x)","B"
848,1,34,36,0.040089,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^2,x)","x\,\left(A\,c+B\,b\right)+\ln\left(x\right)\,\left(A\,b+B\,a\right)-\frac{A\,a}{x}+\frac{B\,c\,x^2}{2}","Not used",1,"x*(A*c + B*b) + log(x)*(A*b + B*a) - (A*a)/x + (B*c*x^2)/2","B"
849,1,34,36,1.165849,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^3,x)","\ln\left(x\right)\,\left(A\,c+B\,b\right)-\frac{\frac{A\,a}{2}+x\,\left(A\,b+B\,a\right)}{x^2}+B\,c\,x","Not used",1,"log(x)*(A*c + B*b) - ((A*a)/2 + x*(A*b + B*a))/x^2 + B*c*x","B"
850,1,38,41,1.175856,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^4,x)","B\,c\,\ln\left(x\right)-\frac{\left(A\,c+B\,b\right)\,x^2+\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)\,x+\frac{A\,a}{3}}{x^3}","Not used",1,"B*c*log(x) - ((A*a)/3 + x*((A*b)/2 + (B*a)/2) + x^2*(A*c + B*b))/x^3","B"
851,1,40,45,0.028467,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^5,x)","-\frac{B\,c\,x^3+\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)\,x^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) + x^2*((A*c)/2 + (B*b)/2) + B*c*x^3)/x^4","B"
852,1,41,47,0.028703,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^6,x)","-\frac{\frac{B\,c\,x^3}{2}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^2+\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) + x^2*((A*c)/3 + (B*b)/3) + (B*c*x^3)/2)/x^5","B"
853,1,41,47,0.029115,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^7,x)","-\frac{\frac{B\,c\,x^3}{3}+\left(\frac{A\,c}{4}+\frac{B\,b}{4}\right)\,x^2+\left(\frac{A\,b}{5}+\frac{B\,a}{5}\right)\,x+\frac{A\,a}{6}}{x^6}","Not used",1,"-((A*a)/6 + x*((A*b)/5 + (B*a)/5) + x^2*((A*c)/4 + (B*b)/4) + (B*c*x^3)/3)/x^6","B"
854,1,41,47,0.030105,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^8,x)","-\frac{\frac{B\,c\,x^3}{4}+\left(\frac{A\,c}{5}+\frac{B\,b}{5}\right)\,x^2+\left(\frac{A\,b}{6}+\frac{B\,a}{6}\right)\,x+\frac{A\,a}{7}}{x^7}","Not used",1,"-((A*a)/7 + x*((A*b)/6 + (B*a)/6) + x^2*((A*c)/5 + (B*b)/5) + (B*c*x^3)/4)/x^7","B"
855,1,93,101,1.158132,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^4\,\left(\frac{B\,a^2}{4}+\frac{A\,b\,a}{2}\right)+x^7\,\left(\frac{A\,c^2}{7}+\frac{2\,B\,b\,c}{7}\right)+x^5\,\left(\frac{A\,b^2}{5}+\frac{2\,B\,a\,b}{5}+\frac{2\,A\,a\,c}{5}\right)+x^6\,\left(\frac{B\,b^2}{6}+\frac{A\,c\,b}{3}+\frac{B\,a\,c}{3}\right)+\frac{A\,a^2\,x^3}{3}+\frac{B\,c^2\,x^8}{8}","Not used",1,"x^4*((B*a^2)/4 + (A*a*b)/2) + x^7*((A*c^2)/7 + (2*B*b*c)/7) + x^5*((A*b^2)/5 + (2*A*a*c)/5 + (2*B*a*b)/5) + x^6*((B*b^2)/6 + (A*b*c)/3 + (B*a*c)/3) + (A*a^2*x^3)/3 + (B*c^2*x^8)/8","B"
856,1,93,101,0.031267,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^3\,\left(\frac{B\,a^2}{3}+\frac{2\,A\,b\,a}{3}\right)+x^6\,\left(\frac{A\,c^2}{6}+\frac{B\,b\,c}{3}\right)+x^4\,\left(\frac{A\,b^2}{4}+\frac{B\,a\,b}{2}+\frac{A\,a\,c}{2}\right)+x^5\,\left(\frac{B\,b^2}{5}+\frac{2\,A\,c\,b}{5}+\frac{2\,B\,a\,c}{5}\right)+\frac{A\,a^2\,x^2}{2}+\frac{B\,c^2\,x^7}{7}","Not used",1,"x^3*((B*a^2)/3 + (2*A*a*b)/3) + x^6*((A*c^2)/6 + (B*b*c)/3) + x^4*((A*b^2)/4 + (A*a*c)/2 + (B*a*b)/2) + x^5*((B*b^2)/5 + (2*A*b*c)/5 + (2*B*a*c)/5) + (A*a^2*x^2)/2 + (B*c^2*x^7)/7","B"
857,1,89,96,0.031387,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^2,x)","x^2\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,B\,b\,c}{5}\right)+x^3\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}+\frac{2\,A\,a\,c}{3}\right)+x^4\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}+\frac{B\,a\,c}{2}\right)+\frac{B\,c^2\,x^6}{6}+A\,a^2\,x","Not used",1,"x^2*((B*a^2)/2 + A*a*b) + x^5*((A*c^2)/5 + (2*B*b*c)/5) + x^3*((A*b^2)/3 + (2*A*a*c)/3 + (2*B*a*b)/3) + x^4*((B*b^2)/4 + (A*b*c)/2 + (B*a*c)/2) + (B*c^2*x^6)/6 + A*a^2*x","B"
858,1,86,92,0.036105,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x,x)","x^4\,\left(\frac{A\,c^2}{4}+\frac{B\,b\,c}{2}\right)+x^2\,\left(\frac{A\,b^2}{2}+B\,a\,b+A\,a\,c\right)+x^3\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}+\frac{2\,B\,a\,c}{3}\right)+x\,\left(B\,a^2+2\,A\,b\,a\right)+\frac{B\,c^2\,x^5}{5}+A\,a^2\,\ln\left(x\right)","Not used",1,"x^4*((A*c^2)/4 + (B*b*c)/2) + x^2*((A*b^2)/2 + A*a*c + B*a*b) + x^3*((B*b^2)/3 + (2*A*b*c)/3 + (2*B*a*c)/3) + x*(B*a^2 + 2*A*a*b) + (B*c^2*x^5)/5 + A*a^2*log(x)","B"
859,1,86,90,0.038210,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^2,x)","x^3\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+x\,\left(A\,b^2+2\,B\,a\,b+2\,A\,a\,c\right)+\ln\left(x\right)\,\left(B\,a^2+2\,A\,b\,a\right)+x^2\,\left(\frac{B\,b^2}{2}+A\,c\,b+B\,a\,c\right)-\frac{A\,a^2}{x}+\frac{B\,c^2\,x^4}{4}","Not used",1,"x^3*((A*c^2)/3 + (2*B*b*c)/3) + x*(A*b^2 + 2*A*a*c + 2*B*a*b) + log(x)*(B*a^2 + 2*A*a*b) + x^2*((B*b^2)/2 + A*b*c + B*a*c) - (A*a^2)/x + (B*c^2*x^4)/4","B"
860,1,87,90,1.154178,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^3,x)","x^2\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+x\,\left(B\,b^2+2\,A\,c\,b+2\,B\,a\,c\right)+\ln\left(x\right)\,\left(A\,b^2+2\,B\,a\,b+2\,A\,a\,c\right)-\frac{\frac{A\,a^2}{2}+x\,\left(B\,a^2+2\,A\,b\,a\right)}{x^2}+\frac{B\,c^2\,x^3}{3}","Not used",1,"x^2*((A*c^2)/2 + B*b*c) + x*(B*b^2 + 2*A*b*c + 2*B*a*c) + log(x)*(A*b^2 + 2*A*a*c + 2*B*a*b) - ((A*a^2)/2 + x*(B*a^2 + 2*A*a*b))/x^2 + (B*c^2*x^3)/3","B"
861,1,87,90,0.050063,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^4,x)","x\,\left(A\,c^2+2\,B\,b\,c\right)-\frac{\frac{A\,a^2}{3}+x^2\,\left(A\,b^2+2\,B\,a\,b+2\,A\,a\,c\right)+x\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)}{x^3}+\ln\left(x\right)\,\left(B\,b^2+2\,A\,c\,b+2\,B\,a\,c\right)+\frac{B\,c^2\,x^2}{2}","Not used",1,"x*(A*c^2 + 2*B*b*c) - ((A*a^2)/3 + x^2*(A*b^2 + 2*A*a*c + 2*B*a*b) + x*((B*a^2)/2 + A*a*b))/x^3 + log(x)*(B*b^2 + 2*A*b*c + 2*B*a*c) + (B*c^2*x^2)/2","B"
862,1,86,90,0.065868,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^5,x)","\ln\left(x\right)\,\left(A\,c^2+2\,B\,b\,c\right)-\frac{\frac{A\,a^2}{4}+x^2\,\left(\frac{A\,b^2}{2}+B\,a\,b+A\,a\,c\right)+x^3\,\left(B\,b^2+2\,A\,c\,b+2\,B\,a\,c\right)+x\,\left(\frac{B\,a^2}{3}+\frac{2\,A\,b\,a}{3}\right)}{x^4}+B\,c^2\,x","Not used",1,"log(x)*(A*c^2 + 2*B*b*c) - ((A*a^2)/4 + x^2*((A*b^2)/2 + A*a*c + B*a*b) + x^3*(B*b^2 + 2*A*b*c + 2*B*a*c) + x*((B*a^2)/3 + (2*A*a*b)/3))/x^4 + B*c^2*x","B"
863,1,89,95,0.066980,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^6,x)","B\,c^2\,\ln\left(x\right)-\frac{x^4\,\left(A\,c^2+2\,B\,b\,c\right)+\frac{A\,a^2}{5}+x^2\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}+\frac{2\,A\,a\,c}{3}\right)+x^3\,\left(\frac{B\,b^2}{2}+A\,c\,b+B\,a\,c\right)+x\,\left(\frac{B\,a^2}{4}+\frac{A\,b\,a}{2}\right)}{x^5}","Not used",1,"B*c^2*log(x) - (x^4*(A*c^2 + 2*B*b*c) + (A*a^2)/5 + x^2*((A*b^2)/3 + (2*A*a*c)/3 + (2*B*a*b)/3) + x^3*((B*b^2)/2 + A*b*c + B*a*c) + x*((B*a^2)/4 + (A*a*b)/2))/x^5","B"
864,1,91,99,0.046828,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^7,x)","-\frac{x^4\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+\frac{A\,a^2}{6}+x^2\,\left(\frac{A\,b^2}{4}+\frac{B\,a\,b}{2}+\frac{A\,a\,c}{2}\right)+x^3\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}+\frac{2\,B\,a\,c}{3}\right)+x\,\left(\frac{B\,a^2}{5}+\frac{2\,A\,b\,a}{5}\right)+B\,c^2\,x^5}{x^6}","Not used",1,"-(x^4*((A*c^2)/2 + B*b*c) + (A*a^2)/6 + x^2*((A*b^2)/4 + (A*a*c)/2 + (B*a*b)/2) + x^3*((B*b^2)/3 + (2*A*b*c)/3 + (2*B*a*c)/3) + x*((B*a^2)/5 + (2*A*a*b)/5) + B*c^2*x^5)/x^6","B"
865,1,93,101,1.168250,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^8,x)","-\frac{x^4\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+\frac{A\,a^2}{7}+x^2\,\left(\frac{A\,b^2}{5}+\frac{2\,B\,a\,b}{5}+\frac{2\,A\,a\,c}{5}\right)+x^3\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}+\frac{B\,a\,c}{2}\right)+x\,\left(\frac{B\,a^2}{6}+\frac{A\,b\,a}{3}\right)+\frac{B\,c^2\,x^5}{2}}{x^7}","Not used",1,"-(x^4*((A*c^2)/3 + (2*B*b*c)/3) + (A*a^2)/7 + x^2*((A*b^2)/5 + (2*A*a*c)/5 + (2*B*a*b)/5) + x^3*((B*b^2)/4 + (A*b*c)/2 + (B*a*c)/2) + x*((B*a^2)/6 + (A*a*b)/3) + (B*c^2*x^5)/2)/x^7","B"
866,1,93,101,0.046384,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^9,x)","-\frac{x^4\,\left(\frac{A\,c^2}{4}+\frac{B\,b\,c}{2}\right)+\frac{A\,a^2}{8}+x^2\,\left(\frac{A\,b^2}{6}+\frac{B\,a\,b}{3}+\frac{A\,a\,c}{3}\right)+x^3\,\left(\frac{B\,b^2}{5}+\frac{2\,A\,c\,b}{5}+\frac{2\,B\,a\,c}{5}\right)+x\,\left(\frac{B\,a^2}{7}+\frac{2\,A\,b\,a}{7}\right)+\frac{B\,c^2\,x^5}{3}}{x^8}","Not used",1,"-(x^4*((A*c^2)/4 + (B*b*c)/2) + (A*a^2)/8 + x^2*((A*b^2)/6 + (A*a*c)/3 + (B*a*b)/3) + x^3*((B*b^2)/5 + (2*A*b*c)/5 + (2*B*a*c)/5) + x*((B*a^2)/7 + (2*A*a*b)/7) + (B*c^2*x^5)/3)/x^8","B"
867,1,168,166,0.066660,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^6\,\left(\frac{B\,c\,a^2}{2}+\frac{B\,a\,b^2}{2}+A\,c\,a\,b+\frac{A\,b^3}{6}\right)+x^7\,\left(\frac{B\,b^3}{7}+\frac{3\,A\,b^2\,c}{7}+\frac{6\,B\,a\,b\,c}{7}+\frac{3\,A\,a\,c^2}{7}\right)+x^4\,\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)+x^9\,\left(\frac{A\,c^3}{9}+\frac{B\,b\,c^2}{3}\right)+x^5\,\left(\frac{3\,B\,a^2\,b}{5}+\frac{3\,A\,c\,a^2}{5}+\frac{3\,A\,a\,b^2}{5}\right)+x^8\,\left(\frac{3\,B\,b^2\,c}{8}+\frac{3\,A\,b\,c^2}{8}+\frac{3\,B\,a\,c^2}{8}\right)+\frac{A\,a^3\,x^3}{3}+\frac{B\,c^3\,x^{10}}{10}","Not used",1,"x^6*((A*b^3)/6 + (B*a*b^2)/2 + (B*a^2*c)/2 + A*a*b*c) + x^7*((B*b^3)/7 + (3*A*a*c^2)/7 + (3*A*b^2*c)/7 + (6*B*a*b*c)/7) + x^4*((B*a^3)/4 + (3*A*a^2*b)/4) + x^9*((A*c^3)/9 + (B*b*c^2)/3) + x^5*((3*A*a*b^2)/5 + (3*A*a^2*c)/5 + (3*B*a^2*b)/5) + x^8*((3*A*b*c^2)/8 + (3*B*a*c^2)/8 + (3*B*b^2*c)/8) + (A*a^3*x^3)/3 + (B*c^3*x^10)/10","B"
868,1,167,166,1.157916,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^5\,\left(\frac{3\,B\,c\,a^2}{5}+\frac{3\,B\,a\,b^2}{5}+\frac{6\,A\,c\,a\,b}{5}+\frac{A\,b^3}{5}\right)+x^6\,\left(\frac{B\,b^3}{6}+\frac{A\,b^2\,c}{2}+B\,a\,b\,c+\frac{A\,a\,c^2}{2}\right)+x^3\,\left(\frac{B\,a^3}{3}+A\,b\,a^2\right)+x^8\,\left(\frac{A\,c^3}{8}+\frac{3\,B\,b\,c^2}{8}\right)+x^4\,\left(\frac{3\,B\,a^2\,b}{4}+\frac{3\,A\,c\,a^2}{4}+\frac{3\,A\,a\,b^2}{4}\right)+x^7\,\left(\frac{3\,B\,b^2\,c}{7}+\frac{3\,A\,b\,c^2}{7}+\frac{3\,B\,a\,c^2}{7}\right)+\frac{A\,a^3\,x^2}{2}+\frac{B\,c^3\,x^9}{9}","Not used",1,"x^5*((A*b^3)/5 + (3*B*a*b^2)/5 + (3*B*a^2*c)/5 + (6*A*a*b*c)/5) + x^6*((B*b^3)/6 + (A*a*c^2)/2 + (A*b^2*c)/2 + B*a*b*c) + x^3*((B*a^3)/3 + A*a^2*b) + x^8*((A*c^3)/8 + (3*B*b*c^2)/8) + x^4*((3*A*a*b^2)/4 + (3*A*a^2*c)/4 + (3*B*a^2*b)/4) + x^7*((3*A*b*c^2)/7 + (3*B*a*c^2)/7 + (3*B*b^2*c)/7) + (A*a^3*x^2)/2 + (B*c^3*x^9)/9","B"
869,1,163,158,0.047211,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^3,x)","x^4\,\left(\frac{3\,B\,c\,a^2}{4}+\frac{3\,B\,a\,b^2}{4}+\frac{3\,A\,c\,a\,b}{2}+\frac{A\,b^3}{4}\right)+x^5\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,b^2\,c}{5}+\frac{6\,B\,a\,b\,c}{5}+\frac{3\,A\,a\,c^2}{5}\right)+x^2\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,B\,b\,c^2}{7}\right)+x^3\,\left(B\,a^2\,b+A\,c\,a^2+A\,a\,b^2\right)+x^6\,\left(\frac{B\,b^2\,c}{2}+\frac{A\,b\,c^2}{2}+\frac{B\,a\,c^2}{2}\right)+\frac{B\,c^3\,x^8}{8}+A\,a^3\,x","Not used",1,"x^4*((A*b^3)/4 + (3*B*a*b^2)/4 + (3*B*a^2*c)/4 + (3*A*a*b*c)/2) + x^5*((B*b^3)/5 + (3*A*a*c^2)/5 + (3*A*b^2*c)/5 + (6*B*a*b*c)/5) + x^2*((B*a^3)/2 + (3*A*a^2*b)/2) + x^7*((A*c^3)/7 + (3*B*b*c^2)/7) + x^3*(A*a*b^2 + A*a^2*c + B*a^2*b) + x^6*((A*b*c^2)/2 + (B*a*c^2)/2 + (B*b^2*c)/2) + (B*c^3*x^8)/8 + A*a^3*x","B"
870,1,162,157,0.051183,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x,x)","x^3\,\left(B\,c\,a^2+B\,a\,b^2+2\,A\,c\,a\,b+\frac{A\,b^3}{3}\right)+x^4\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,b^2\,c}{4}+\frac{3\,B\,a\,b\,c}{2}+\frac{3\,A\,a\,c^2}{4}\right)+x\,\left(B\,a^3+3\,A\,b\,a^2\right)+x^6\,\left(\frac{A\,c^3}{6}+\frac{B\,b\,c^2}{2}\right)+x^2\,\left(\frac{3\,B\,a^2\,b}{2}+\frac{3\,A\,c\,a^2}{2}+\frac{3\,A\,a\,b^2}{2}\right)+x^5\,\left(\frac{3\,B\,b^2\,c}{5}+\frac{3\,A\,b\,c^2}{5}+\frac{3\,B\,a\,c^2}{5}\right)+\frac{B\,c^3\,x^7}{7}+A\,a^3\,\ln\left(x\right)","Not used",1,"x^3*((A*b^3)/3 + B*a*b^2 + B*a^2*c + 2*A*a*b*c) + x^4*((B*b^3)/4 + (3*A*a*c^2)/4 + (3*A*b^2*c)/4 + (3*B*a*b*c)/2) + x*(B*a^3 + 3*A*a^2*b) + x^6*((A*c^3)/6 + (B*b*c^2)/2) + x^2*((3*A*a*b^2)/2 + (3*A*a^2*c)/2 + (3*B*a^2*b)/2) + x^5*((3*A*b*c^2)/5 + (3*B*a*c^2)/5 + (3*B*b^2*c)/5) + (B*c^3*x^7)/7 + A*a^3*log(x)","B"
871,1,163,156,1.185553,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^2,x)","x^2\,\left(\frac{3\,B\,c\,a^2}{2}+\frac{3\,B\,a\,b^2}{2}+3\,A\,c\,a\,b+\frac{A\,b^3}{2}\right)+x^3\,\left(\frac{B\,b^3}{3}+A\,b^2\,c+2\,B\,a\,b\,c+A\,a\,c^2\right)+x\,\left(3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2\right)+x^5\,\left(\frac{A\,c^3}{5}+\frac{3\,B\,b\,c^2}{5}\right)+\ln\left(x\right)\,\left(B\,a^3+3\,A\,b\,a^2\right)+x^4\,\left(\frac{3\,B\,b^2\,c}{4}+\frac{3\,A\,b\,c^2}{4}+\frac{3\,B\,a\,c^2}{4}\right)-\frac{A\,a^3}{x}+\frac{B\,c^3\,x^6}{6}","Not used",1,"x^2*((A*b^3)/2 + (3*B*a*b^2)/2 + (3*B*a^2*c)/2 + 3*A*a*b*c) + x^3*((B*b^3)/3 + A*a*c^2 + A*b^2*c + 2*B*a*b*c) + x*(3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b) + x^5*((A*c^3)/5 + (3*B*b*c^2)/5) + log(x)*(B*a^3 + 3*A*a^2*b) + x^4*((3*A*b*c^2)/4 + (3*B*a*c^2)/4 + (3*B*b^2*c)/4) - (A*a^3)/x + (B*c^3*x^6)/6","B"
872,1,162,153,0.056080,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^3,x)","x^2\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,b^2\,c}{2}+3\,B\,a\,b\,c+\frac{3\,A\,a\,c^2}{2}\right)-\frac{x\,\left(B\,a^3+3\,A\,b\,a^2\right)+\frac{A\,a^3}{2}}{x^2}+x^4\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+x^3\,\left(B\,b^2\,c+A\,b\,c^2+B\,a\,c^2\right)+x\,\left(3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3\right)+\ln\left(x\right)\,\left(3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2\right)+\frac{B\,c^3\,x^5}{5}","Not used",1,"x^2*((B*b^3)/2 + (3*A*a*c^2)/2 + (3*A*b^2*c)/2 + 3*B*a*b*c) - (x*(B*a^3 + 3*A*a^2*b) + (A*a^3)/2)/x^2 + x^4*((A*c^3)/4 + (3*B*b*c^2)/4) + x^3*(A*b*c^2 + B*a*c^2 + B*b^2*c) + x*(A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c) + log(x)*(3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b) + (B*c^3*x^5)/5","B"
873,1,164,155,0.056943,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^4,x)","\ln\left(x\right)\,\left(3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3\right)-\frac{x\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+\frac{A\,a^3}{3}+x^2\,\left(3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2\right)}{x^3}+x^3\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)+x^2\,\left(\frac{3\,B\,b^2\,c}{2}+\frac{3\,A\,b\,c^2}{2}+\frac{3\,B\,a\,c^2}{2}\right)+x\,\left(B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2\right)+\frac{B\,c^3\,x^4}{4}","Not used",1,"log(x)*(A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c) - (x*((B*a^3)/2 + (3*A*a^2*b)/2) + (A*a^3)/3 + x^2*(3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b))/x^3 + x^3*((A*c^3)/3 + B*b*c^2) + x^2*((3*A*b*c^2)/2 + (3*B*a*c^2)/2 + (3*B*b^2*c)/2) + x*(B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c) + (B*c^3*x^4)/4","B"
874,1,164,156,1.170086,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^5,x)","\ln\left(x\right)\,\left(B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2\right)-\frac{x^3\,\left(3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3\right)+x\,\left(\frac{B\,a^3}{3}+A\,b\,a^2\right)+\frac{A\,a^3}{4}+x^2\,\left(\frac{3\,B\,a^2\,b}{2}+\frac{3\,A\,c\,a^2}{2}+\frac{3\,A\,a\,b^2}{2}\right)}{x^4}+x\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2\right)+x^2\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)+\frac{B\,c^3\,x^3}{3}","Not used",1,"log(x)*(B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c) - (x^3*(A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c) + x*((B*a^3)/3 + A*a^2*b) + (A*a^3)/4 + x^2*((3*A*a*b^2)/2 + (3*A*a^2*c)/2 + (3*B*a^2*b)/2))/x^4 + x*(3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c) + x^2*((A*c^3)/2 + (3*B*b*c^2)/2) + (B*c^3*x^3)/3","B"
875,1,162,154,1.184222,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^6,x)","x\,\left(A\,c^3+3\,B\,b\,c^2\right)-\frac{x^3\,\left(\frac{3\,B\,c\,a^2}{2}+\frac{3\,B\,a\,b^2}{2}+3\,A\,c\,a\,b+\frac{A\,b^3}{2}\right)+x^4\,\left(B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2\right)+x\,\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)+\frac{A\,a^3}{5}+x^2\,\left(B\,a^2\,b+A\,c\,a^2+A\,a\,b^2\right)}{x^5}+\ln\left(x\right)\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2\right)+\frac{B\,c^3\,x^2}{2}","Not used",1,"x*(A*c^3 + 3*B*b*c^2) - (x^3*((A*b^3)/2 + (3*B*a*b^2)/2 + (3*B*a^2*c)/2 + 3*A*a*b*c) + x^4*(B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c) + x*((B*a^3)/4 + (3*A*a^2*b)/4) + (A*a^3)/5 + x^2*(A*a*b^2 + A*a^2*c + B*a^2*b))/x^5 + log(x)*(3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c) + (B*c^3*x^2)/2","B"
876,1,163,155,0.094347,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^7,x)","\ln\left(x\right)\,\left(A\,c^3+3\,B\,b\,c^2\right)-\frac{x^3\,\left(B\,c\,a^2+B\,a\,b^2+2\,A\,c\,a\,b+\frac{A\,b^3}{3}\right)+x^4\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,b^2\,c}{2}+3\,B\,a\,b\,c+\frac{3\,A\,a\,c^2}{2}\right)+x\,\left(\frac{B\,a^3}{5}+\frac{3\,A\,b\,a^2}{5}\right)+\frac{A\,a^3}{6}+x^2\,\left(\frac{3\,B\,a^2\,b}{4}+\frac{3\,A\,c\,a^2}{4}+\frac{3\,A\,a\,b^2}{4}\right)+x^5\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2\right)}{x^6}+B\,c^3\,x","Not used",1,"log(x)*(A*c^3 + 3*B*b*c^2) - (x^3*((A*b^3)/3 + B*a*b^2 + B*a^2*c + 2*A*a*b*c) + x^4*((B*b^3)/2 + (3*A*a*c^2)/2 + (3*A*b^2*c)/2 + 3*B*a*b*c) + x*((B*a^3)/5 + (3*A*a^2*b)/5) + (A*a^3)/6 + x^2*((3*A*a*b^2)/4 + (3*A*a^2*c)/4 + (3*B*a^2*b)/4) + x^5*(3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c))/x^6 + B*c^3*x","B"
877,1,165,160,1.217470,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^8,x)","B\,c^3\,\ln\left(x\right)-\frac{x^3\,\left(\frac{3\,B\,c\,a^2}{4}+\frac{3\,B\,a\,b^2}{4}+\frac{3\,A\,c\,a\,b}{2}+\frac{A\,b^3}{4}\right)+x^4\,\left(\frac{B\,b^3}{3}+A\,b^2\,c+2\,B\,a\,b\,c+A\,a\,c^2\right)+x\,\left(\frac{B\,a^3}{6}+\frac{A\,b\,a^2}{2}\right)+\frac{A\,a^3}{7}+x^6\,\left(A\,c^3+3\,B\,b\,c^2\right)+x^2\,\left(\frac{3\,B\,a^2\,b}{5}+\frac{3\,A\,c\,a^2}{5}+\frac{3\,A\,a\,b^2}{5}\right)+x^5\,\left(\frac{3\,B\,b^2\,c}{2}+\frac{3\,A\,b\,c^2}{2}+\frac{3\,B\,a\,c^2}{2}\right)}{x^7}","Not used",1,"B*c^3*log(x) - (x^3*((A*b^3)/4 + (3*B*a*b^2)/4 + (3*B*a^2*c)/4 + (3*A*a*b*c)/2) + x^4*((B*b^3)/3 + A*a*c^2 + A*b^2*c + 2*B*a*b*c) + x*((B*a^3)/6 + (A*a^2*b)/2) + (A*a^3)/7 + x^6*(A*c^3 + 3*B*b*c^2) + x^2*((3*A*a*b^2)/5 + (3*A*a^2*c)/5 + (3*B*a^2*b)/5) + x^5*((3*A*b*c^2)/2 + (3*B*a*c^2)/2 + (3*B*b^2*c)/2))/x^7","B"
878,1,165,162,1.183149,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^9,x)","-\frac{x^3\,\left(\frac{3\,B\,c\,a^2}{5}+\frac{3\,B\,a\,b^2}{5}+\frac{6\,A\,c\,a\,b}{5}+\frac{A\,b^3}{5}\right)+x^4\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,b^2\,c}{4}+\frac{3\,B\,a\,b\,c}{2}+\frac{3\,A\,a\,c^2}{4}\right)+x\,\left(\frac{B\,a^3}{7}+\frac{3\,A\,b\,a^2}{7}\right)+\frac{A\,a^3}{8}+x^6\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)+x^2\,\left(\frac{B\,a^2\,b}{2}+\frac{A\,c\,a^2}{2}+\frac{A\,a\,b^2}{2}\right)+x^5\,\left(B\,b^2\,c+A\,b\,c^2+B\,a\,c^2\right)+B\,c^3\,x^7}{x^8}","Not used",1,"-(x^3*((A*b^3)/5 + (3*B*a*b^2)/5 + (3*B*a^2*c)/5 + (6*A*a*b*c)/5) + x^4*((B*b^3)/4 + (3*A*a*c^2)/4 + (3*A*b^2*c)/4 + (3*B*a*b*c)/2) + x*((B*a^3)/7 + (3*A*a^2*b)/7) + (A*a^3)/8 + x^6*((A*c^3)/2 + (3*B*b*c^2)/2) + x^2*((A*a*b^2)/2 + (A*a^2*c)/2 + (B*a^2*b)/2) + x^5*(A*b*c^2 + B*a*c^2 + B*b^2*c) + B*c^3*x^7)/x^8","B"
879,1,167,166,1.188636,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^10,x)","-\frac{x^3\,\left(\frac{B\,c\,a^2}{2}+\frac{B\,a\,b^2}{2}+A\,c\,a\,b+\frac{A\,b^3}{6}\right)+x^4\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,b^2\,c}{5}+\frac{6\,B\,a\,b\,c}{5}+\frac{3\,A\,a\,c^2}{5}\right)+x\,\left(\frac{B\,a^3}{8}+\frac{3\,A\,b\,a^2}{8}\right)+\frac{A\,a^3}{9}+x^6\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)+x^2\,\left(\frac{3\,B\,a^2\,b}{7}+\frac{3\,A\,c\,a^2}{7}+\frac{3\,A\,a\,b^2}{7}\right)+x^5\,\left(\frac{3\,B\,b^2\,c}{4}+\frac{3\,A\,b\,c^2}{4}+\frac{3\,B\,a\,c^2}{4}\right)+\frac{B\,c^3\,x^7}{2}}{x^9}","Not used",1,"-(x^3*((A*b^3)/6 + (B*a*b^2)/2 + (B*a^2*c)/2 + A*a*b*c) + x^4*((B*b^3)/5 + (3*A*a*c^2)/5 + (3*A*b^2*c)/5 + (6*B*a*b*c)/5) + x*((B*a^3)/8 + (3*A*a^2*b)/8) + (A*a^3)/9 + x^6*((A*c^3)/3 + B*b*c^2) + x^2*((3*A*a*b^2)/7 + (3*A*a^2*c)/7 + (3*B*a^2*b)/7) + x^5*((3*A*b*c^2)/4 + (3*B*a*c^2)/4 + (3*B*b^2*c)/4) + (B*c^3*x^7)/2)/x^9","B"
880,1,168,166,1.190348,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^11,x)","-\frac{x^3\,\left(\frac{3\,B\,c\,a^2}{7}+\frac{3\,B\,a\,b^2}{7}+\frac{6\,A\,c\,a\,b}{7}+\frac{A\,b^3}{7}\right)+x^4\,\left(\frac{B\,b^3}{6}+\frac{A\,b^2\,c}{2}+B\,a\,b\,c+\frac{A\,a\,c^2}{2}\right)+x\,\left(\frac{B\,a^3}{9}+\frac{A\,b\,a^2}{3}\right)+\frac{A\,a^3}{10}+x^6\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+x^2\,\left(\frac{3\,B\,a^2\,b}{8}+\frac{3\,A\,c\,a^2}{8}+\frac{3\,A\,a\,b^2}{8}\right)+x^5\,\left(\frac{3\,B\,b^2\,c}{5}+\frac{3\,A\,b\,c^2}{5}+\frac{3\,B\,a\,c^2}{5}\right)+\frac{B\,c^3\,x^7}{3}}{x^{10}}","Not used",1,"-(x^3*((A*b^3)/7 + (3*B*a*b^2)/7 + (3*B*a^2*c)/7 + (6*A*a*b*c)/7) + x^4*((B*b^3)/6 + (A*a*c^2)/2 + (A*b^2*c)/2 + B*a*b*c) + x*((B*a^3)/9 + (A*a^2*b)/3) + (A*a^3)/10 + x^6*((A*c^3)/4 + (3*B*b*c^2)/4) + x^2*((3*A*a*b^2)/8 + (3*A*a^2*c)/8 + (3*B*a^2*b)/8) + x^5*((3*A*b*c^2)/5 + (3*B*a*c^2)/5 + (3*B*b^2*c)/5) + (B*c^3*x^7)/3)/x^10","B"
881,1,302,229,0.232812,"\text{Not used}","int((x^4*(d + e*x))/(a + b*x + c*x^2),x)","x^3\,\left(\frac{d}{3\,c}-\frac{b\,e}{3\,c^2}\right)+x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{c}+\frac{a\,e}{c^2}\right)}{c}-\frac{a\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{c}\right)-x^2\,\left(\frac{b\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{2\,c}+\frac{a\,e}{2\,c^2}\right)+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(4\,e\,a^3\,c^3-13\,e\,a^2\,b^2\,c^2+8\,d\,a^2\,b\,c^3+7\,e\,a\,b^4\,c-6\,d\,a\,b^3\,c^2-e\,b^6+d\,b^5\,c\right)}{2\,\left(4\,a\,c^6-b^2\,c^5\right)}+\frac{e\,x^4}{4\,c}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(5\,e\,a^2\,b\,c^2-2\,d\,a^2\,c^3-5\,e\,a\,b^3\,c+4\,d\,a\,b^2\,c^2+e\,b^5-d\,b^4\,c\right)}{c^5\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^3*(d/(3*c) - (b*e)/(3*c^2)) + x*((b*((b*(d/c - (b*e)/c^2))/c + (a*e)/c^2))/c - (a*(d/c - (b*e)/c^2))/c) - x^2*((b*(d/c - (b*e)/c^2))/(2*c) + (a*e)/(2*c^2)) + (log(a + b*x + c*x^2)*(4*a^3*c^3*e - b^6*e + b^5*c*d - 13*a^2*b^2*c^2*e + 7*a*b^4*c*e - 6*a*b^3*c^2*d + 8*a^2*b*c^3*d))/(2*(4*a*c^6 - b^2*c^5)) + (e*x^4)/(4*c) - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(b^5*e - 2*a^2*c^3*d - b^4*c*d - 5*a*b^3*c*e + 4*a*b^2*c^2*d + 5*a^2*b*c^2*e))/(c^5*(4*a*c - b^2)^(1/2))","B"
882,1,221,169,1.301085,"\text{Not used}","int((x^3*(d + e*x))/(a + b*x + c*x^2),x)","x^2\,\left(\frac{d}{2\,c}-\frac{b\,e}{2\,c^2}\right)-x\,\left(\frac{b\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)}{c}+\frac{a\,e}{c^2}\right)+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(8\,e\,a^2\,b\,c^2-4\,d\,a^2\,c^3-6\,e\,a\,b^3\,c+5\,d\,a\,b^2\,c^2+e\,b^5-d\,b^4\,c\right)}{2\,\left(4\,a\,c^5-b^2\,c^4\right)}+\frac{e\,x^3}{3\,c}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,e\,a^2\,c^2-4\,e\,a\,b^2\,c+3\,d\,a\,b\,c^2+e\,b^4-d\,b^3\,c\right)}{c^4\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^2*(d/(2*c) - (b*e)/(2*c^2)) - x*((b*(d/c - (b*e)/c^2))/c + (a*e)/c^2) + (log(a + b*x + c*x^2)*(b^5*e - 4*a^2*c^3*d - b^4*c*d - 6*a*b^3*c*e + 5*a*b^2*c^2*d + 8*a^2*b*c^2*e))/(2*(4*a*c^5 - b^2*c^4)) + (e*x^3)/(3*c) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(b^4*e + 2*a^2*c^2*e - b^3*c*d + 3*a*b*c^2*d - 4*a*b^2*c*e))/(c^4*(4*a*c - b^2)^(1/2))","B"
883,1,168,121,0.172143,"\text{Not used}","int((x^2*(d + e*x))/(a + b*x + c*x^2),x)","x\,\left(\frac{d}{c}-\frac{b\,e}{c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(4\,e\,a^2\,c^2-5\,e\,a\,b^2\,c+4\,d\,a\,b\,c^2+e\,b^4-d\,b^3\,c\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}+\frac{e\,x^2}{2\,c}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(e\,b^3-d\,b^2\,c-3\,a\,e\,b\,c+2\,a\,d\,c^2\right)}{c^3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x*(d/c - (b*e)/c^2) - (log(a + b*x + c*x^2)*(b^4*e + 4*a^2*c^2*e - b^3*c*d + 4*a*b*c^2*d - 5*a*b^2*c*e))/(2*(4*a*c^4 - b^2*c^3)) + (e*x^2)/(2*c) - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(b^3*e + 2*a*c^2*d - b^2*c*d - 3*a*b*c*e))/(c^3*(4*a*c - b^2)^(1/2))","B"
884,1,127,85,1.336096,"\text{Not used}","int((x*(d + e*x))/(a + b*x + c*x^2),x)","\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(e\,b^3-d\,b^2\,c-4\,a\,e\,b\,c+4\,a\,d\,c^2\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}+\frac{e\,x}{c}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(-e\,b^2+c\,d\,b+2\,a\,c\,e\right)}{c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(log(a + b*x + c*x^2)*(b^3*e + 4*a*c^2*d - b^2*c*d - 4*a*b*c*e))/(2*(4*a*c^3 - b^2*c^2)) + (e*x)/c - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*a*c*e - b^2*e + b*c*d))/(c^2*(4*a*c - b^2)^(1/2))","B"
885,1,162,66,0.117477,"\text{Not used}","int((d + e*x)/(a + b*x + c*x^2),x)","\frac{2\,d\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}-\frac{b^2\,e\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,a\,c\,e\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}-\frac{b\,e\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*d*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2) - (b^2*e*log(a + b*x + c*x^2))/(2*(4*a*c^2 - b^2*c)) + (2*a*c*e*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c) - (b*e*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2))","B"
886,1,375,71,1.951777,"\text{Not used}","int((d + e*x)/(x*(a + b*x + c*x^2)),x)","\ln\left(a^2\,e\,\sqrt{b^2-4\,a\,c}-2\,a\,b^2\,d+a^2\,b\,e+6\,a^2\,c\,d-2\,b^3\,d\,x-2\,a\,b\,d\,\sqrt{b^2-4\,a\,c}+a\,b^2\,e\,x-2\,a^2\,c\,e\,x-2\,b^2\,d\,x\,\sqrt{b^2-4\,a\,c}+7\,a\,b\,c\,d\,x+a\,b\,e\,x\,\sqrt{b^2-4\,a\,c}+3\,a\,c\,d\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{2\,a\,e\,\sqrt{b^2-4\,a\,c}-b\,d\,\sqrt{b^2-4\,a\,c}}{2\,a\,b^2-8\,a^2\,c}-\frac{d}{2\,a}\right)-\ln\left(a^2\,e\,\sqrt{b^2-4\,a\,c}+2\,a\,b^2\,d-a^2\,b\,e-6\,a^2\,c\,d+2\,b^3\,d\,x-2\,a\,b\,d\,\sqrt{b^2-4\,a\,c}-a\,b^2\,e\,x+2\,a^2\,c\,e\,x-2\,b^2\,d\,x\,\sqrt{b^2-4\,a\,c}-7\,a\,b\,c\,d\,x+a\,b\,e\,x\,\sqrt{b^2-4\,a\,c}+3\,a\,c\,d\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{2\,a\,e\,\sqrt{b^2-4\,a\,c}-b\,d\,\sqrt{b^2-4\,a\,c}}{2\,a\,b^2-8\,a^2\,c}+\frac{d}{2\,a}\right)+\frac{d\,\ln\left(x\right)}{a}","Not used",1,"log(a^2*e*(b^2 - 4*a*c)^(1/2) - 2*a*b^2*d + a^2*b*e + 6*a^2*c*d - 2*b^3*d*x - 2*a*b*d*(b^2 - 4*a*c)^(1/2) + a*b^2*e*x - 2*a^2*c*e*x - 2*b^2*d*x*(b^2 - 4*a*c)^(1/2) + 7*a*b*c*d*x + a*b*e*x*(b^2 - 4*a*c)^(1/2) + 3*a*c*d*x*(b^2 - 4*a*c)^(1/2))*((2*a*e*(b^2 - 4*a*c)^(1/2) - b*d*(b^2 - 4*a*c)^(1/2))/(2*a*b^2 - 8*a^2*c) - d/(2*a)) - log(a^2*e*(b^2 - 4*a*c)^(1/2) + 2*a*b^2*d - a^2*b*e - 6*a^2*c*d + 2*b^3*d*x - 2*a*b*d*(b^2 - 4*a*c)^(1/2) - a*b^2*e*x + 2*a^2*c*e*x - 2*b^2*d*x*(b^2 - 4*a*c)^(1/2) - 7*a*b*c*d*x + a*b*e*x*(b^2 - 4*a*c)^(1/2) + 3*a*c*d*x*(b^2 - 4*a*c)^(1/2))*((2*a*e*(b^2 - 4*a*c)^(1/2) - b*d*(b^2 - 4*a*c)^(1/2))/(2*a*b^2 - 8*a^2*c) + d/(2*a)) + (d*log(x))/a","B"
887,1,791,104,2.962459,"\text{Not used}","int((d + e*x)/(x^2*(a + b*x + c*x^2)),x)","\frac{\ln\left(x\right)\,\left(a\,e-b\,d\right)}{a^2}-\frac{d}{a\,x}+\frac{\ln\left(\frac{b\,c^2\,d^2-a\,c^2\,d\,e}{a^2}+\frac{\left(\frac{e\,a^2\,b\,c+d\,a^2\,c^2-d\,a\,b^2\,c}{a^2}+\frac{\left(\frac{x\,\left(6\,a^3\,c^2-2\,a^2\,b^2\,c\right)}{a^2}-a\,b\,c\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}-2\,a\,e\,\left(4\,a\,c-b^2\right)+2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}+\frac{x\,\left(3\,a^2\,c^2\,e-2\,a\,b\,c^2\,d\right)}{a^2}\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}-2\,a\,e\,\left(4\,a\,c-b^2\right)+2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}+\frac{c^3\,d^2\,x}{a^2}\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}-2\,a\,e\,\left(4\,a\,c-b^2\right)+2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}-\frac{\ln\left(\frac{b\,c^2\,d^2-a\,c^2\,d\,e}{a^2}-\frac{\left(\frac{e\,a^2\,b\,c+d\,a^2\,c^2-d\,a\,b^2\,c}{a^2}-\frac{\left(\frac{x\,\left(6\,a^3\,c^2-2\,a^2\,b^2\,c\right)}{a^2}-a\,b\,c\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}+2\,a\,e\,\left(4\,a\,c-b^2\right)-2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}+\frac{x\,\left(3\,a^2\,c^2\,e-2\,a\,b\,c^2\,d\right)}{a^2}\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}+2\,a\,e\,\left(4\,a\,c-b^2\right)-2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}+\frac{c^3\,d^2\,x}{a^2}\right)\,\left(d\,{\left(b^2-4\,a\,c\right)}^{3/2}+b^2\,d\,\sqrt{b^2-4\,a\,c}+2\,a\,e\,\left(4\,a\,c-b^2\right)-2\,b\,d\,\left(4\,a\,c-b^2\right)-2\,a\,b\,e\,\sqrt{b^2-4\,a\,c}\right)}{16\,a^3\,c-4\,a^2\,b^2}","Not used",1,"(log(x)*(a*e - b*d))/a^2 - d/(a*x) + (log((b*c^2*d^2 - a*c^2*d*e)/a^2 + (((a^2*c^2*d - a*b^2*c*d + a^2*b*c*e)/a^2 + (((x*(6*a^3*c^2 - 2*a^2*b^2*c))/a^2 - a*b*c)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) - 2*a*e*(4*a*c - b^2) + 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2) + (x*(3*a^2*c^2*e - 2*a*b*c^2*d))/a^2)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) - 2*a*e*(4*a*c - b^2) + 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2) + (c^3*d^2*x)/a^2)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) - 2*a*e*(4*a*c - b^2) + 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2) - (log((b*c^2*d^2 - a*c^2*d*e)/a^2 - (((a^2*c^2*d - a*b^2*c*d + a^2*b*c*e)/a^2 - (((x*(6*a^3*c^2 - 2*a^2*b^2*c))/a^2 - a*b*c)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) + 2*a*e*(4*a*c - b^2) - 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2) + (x*(3*a^2*c^2*e - 2*a*b*c^2*d))/a^2)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) + 2*a*e*(4*a*c - b^2) - 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2) + (c^3*d^2*x)/a^2)*(d*(b^2 - 4*a*c)^(3/2) + b^2*d*(b^2 - 4*a*c)^(1/2) + 2*a*e*(4*a*c - b^2) - 2*b*d*(4*a*c - b^2) - 2*a*b*e*(b^2 - 4*a*c)^(1/2)))/(16*a^3*c - 4*a^2*b^2)","B"
888,1,814,145,2.494991,"\text{Not used}","int((d + e*x)/(x^3*(a + b*x + c*x^2)),x)","\frac{\ln\left(6\,a^3\,c^2\,d-2\,a^2\,b^3\,e+2\,a\,b^4\,d+2\,b^5\,d\,x+7\,a^3\,b\,c\,e-2\,a\,b^4\,e\,x+2\,a\,b^3\,d\,\sqrt{b^2-4\,a\,c}+a^3\,c\,e\,\sqrt{b^2-4\,a\,c}+2\,b^4\,d\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b^2\,c\,d-2\,a^3\,c^2\,e\,x-2\,a^2\,b^2\,e\,\sqrt{b^2-4\,a\,c}-2\,a\,b^3\,e\,x\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b\,c^2\,d\,x+8\,a^2\,b^2\,c\,e\,x+3\,a^2\,c^2\,d\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b^3\,c\,d\,x-3\,a^2\,b\,c\,d\,\sqrt{b^2-4\,a\,c}-6\,a\,b^2\,c\,d\,x\,\sqrt{b^2-4\,a\,c}+4\,a^2\,b\,c\,e\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a^2\,\left(2\,c^2\,d+2\,b\,c\,e+c\,e\,\sqrt{b^2-4\,a\,c}\right)+\frac{b^4\,d}{2}-a\,\left(\frac{b^3\,e}{2}+\frac{b^2\,e\,\sqrt{b^2-4\,a\,c}}{2}+\frac{5\,b^2\,c\,d}{2}+\frac{3\,b\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)+\frac{b^3\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^4\,c-a^3\,b^2}-\frac{\ln\left(x\right)\,\left(a\,\left(b\,e+c\,d\right)-b^2\,d\right)}{a^3}-\frac{\frac{d}{2\,a}+\frac{x\,\left(a\,e-b\,d\right)}{a^2}}{x^2}+\frac{\ln\left(2\,a^2\,b^3\,e-6\,a^3\,c^2\,d-2\,a\,b^4\,d-2\,b^5\,d\,x-7\,a^3\,b\,c\,e+2\,a\,b^4\,e\,x+2\,a\,b^3\,d\,\sqrt{b^2-4\,a\,c}+a^3\,c\,e\,\sqrt{b^2-4\,a\,c}+2\,b^4\,d\,x\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b^2\,c\,d+2\,a^3\,c^2\,e\,x-2\,a^2\,b^2\,e\,\sqrt{b^2-4\,a\,c}-2\,a\,b^3\,e\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b\,c^2\,d\,x-8\,a^2\,b^2\,c\,e\,x+3\,a^2\,c^2\,d\,x\,\sqrt{b^2-4\,a\,c}+10\,a\,b^3\,c\,d\,x-3\,a^2\,b\,c\,d\,\sqrt{b^2-4\,a\,c}-6\,a\,b^2\,c\,d\,x\,\sqrt{b^2-4\,a\,c}+4\,a^2\,b\,c\,e\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a^2\,\left(2\,c^2\,d+2\,b\,c\,e-c\,e\,\sqrt{b^2-4\,a\,c}\right)+\frac{b^4\,d}{2}-a\,\left(\frac{b^3\,e}{2}-\frac{b^2\,e\,\sqrt{b^2-4\,a\,c}}{2}+\frac{5\,b^2\,c\,d}{2}-\frac{3\,b\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{b^3\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^4\,c-a^3\,b^2}","Not used",1,"(log(6*a^3*c^2*d - 2*a^2*b^3*e + 2*a*b^4*d + 2*b^5*d*x + 7*a^3*b*c*e - 2*a*b^4*e*x + 2*a*b^3*d*(b^2 - 4*a*c)^(1/2) + a^3*c*e*(b^2 - 4*a*c)^(1/2) + 2*b^4*d*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b^2*c*d - 2*a^3*c^2*e*x - 2*a^2*b^2*e*(b^2 - 4*a*c)^(1/2) - 2*a*b^3*e*x*(b^2 - 4*a*c)^(1/2) + 9*a^2*b*c^2*d*x + 8*a^2*b^2*c*e*x + 3*a^2*c^2*d*x*(b^2 - 4*a*c)^(1/2) - 10*a*b^3*c*d*x - 3*a^2*b*c*d*(b^2 - 4*a*c)^(1/2) - 6*a*b^2*c*d*x*(b^2 - 4*a*c)^(1/2) + 4*a^2*b*c*e*x*(b^2 - 4*a*c)^(1/2))*(a^2*(2*c^2*d + 2*b*c*e + c*e*(b^2 - 4*a*c)^(1/2)) + (b^4*d)/2 - a*((b^3*e)/2 + (b^2*e*(b^2 - 4*a*c)^(1/2))/2 + (5*b^2*c*d)/2 + (3*b*c*d*(b^2 - 4*a*c)^(1/2))/2) + (b^3*d*(b^2 - 4*a*c)^(1/2))/2))/(4*a^4*c - a^3*b^2) - (log(x)*(a*(b*e + c*d) - b^2*d))/a^3 - (d/(2*a) + (x*(a*e - b*d))/a^2)/x^2 + (log(2*a^2*b^3*e - 6*a^3*c^2*d - 2*a*b^4*d - 2*b^5*d*x - 7*a^3*b*c*e + 2*a*b^4*e*x + 2*a*b^3*d*(b^2 - 4*a*c)^(1/2) + a^3*c*e*(b^2 - 4*a*c)^(1/2) + 2*b^4*d*x*(b^2 - 4*a*c)^(1/2) + 9*a^2*b^2*c*d + 2*a^3*c^2*e*x - 2*a^2*b^2*e*(b^2 - 4*a*c)^(1/2) - 2*a*b^3*e*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b*c^2*d*x - 8*a^2*b^2*c*e*x + 3*a^2*c^2*d*x*(b^2 - 4*a*c)^(1/2) + 10*a*b^3*c*d*x - 3*a^2*b*c*d*(b^2 - 4*a*c)^(1/2) - 6*a*b^2*c*d*x*(b^2 - 4*a*c)^(1/2) + 4*a^2*b*c*e*x*(b^2 - 4*a*c)^(1/2))*(a^2*(2*c^2*d + 2*b*c*e - c*e*(b^2 - 4*a*c)^(1/2)) + (b^4*d)/2 - a*((b^3*e)/2 - (b^2*e*(b^2 - 4*a*c)^(1/2))/2 + (5*b^2*c*d)/2 - (3*b*c*d*(b^2 - 4*a*c)^(1/2))/2) - (b^3*d*(b^2 - 4*a*c)^(1/2))/2))/(4*a^4*c - a^3*b^2)","B"
889,1,1063,204,2.747219,"\text{Not used}","int((d + e*x)/(x^4*(a + b*x + c*x^2)),x)","\frac{\ln\left(2\,a^2\,b^4\,e+6\,a^4\,c^2\,e-2\,a\,b^5\,d-2\,b^6\,d\,x+2\,a\,b^5\,e\,x+2\,a\,b^4\,d\,\sqrt{b^2-4\,a\,c}+2\,b^5\,d\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^3\,c\,d-13\,a^3\,b\,c^2\,d-9\,a^3\,b^2\,c\,e+2\,a^3\,c^3\,d\,x-2\,a^2\,b^3\,e\,\sqrt{b^2-4\,a\,c}+a^3\,c^2\,d\,\sqrt{b^2-4\,a\,c}-2\,a\,b^4\,e\,x\,\sqrt{b^2-4\,a\,c}-10\,a^2\,b^3\,c\,e\,x+9\,a^3\,b\,c^2\,e\,x-5\,a^2\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}-3\,a^3\,c^2\,e\,x\,\sqrt{b^2-4\,a\,c}-17\,a^2\,b^2\,c^2\,d\,x+12\,a\,b^4\,c\,d\,x+3\,a^3\,b\,c\,e\,\sqrt{b^2-4\,a\,c}-8\,a\,b^3\,c\,d\,x\,\sqrt{b^2-4\,a\,c}+7\,a^2\,b\,c^2\,d\,x\,\sqrt{b^2-4\,a\,c}+6\,a^2\,b^2\,c\,e\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^4\,d\,\sqrt{b^2-4\,a\,c}-b^5\,d+4\,a^3\,c^2\,e+a\,b^4\,e+6\,a\,b^3\,c\,d-a\,b^3\,e\,\sqrt{b^2-4\,a\,c}-8\,a^2\,b\,c^2\,d-5\,a^2\,b^2\,c\,e+2\,a^2\,c^2\,d\,\sqrt{b^2-4\,a\,c}-4\,a\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}+3\,a^2\,b\,c\,e\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^5\,c-a^4\,b^2\right)}-\frac{\frac{d}{3\,a}+\frac{x\,\left(a\,e-b\,d\right)}{2\,a^2}-\frac{x^2\,\left(-d\,b^2+a\,e\,b+a\,c\,d\right)}{a^3}}{x^3}-\frac{\ln\left(2\,a^2\,b^4\,e+6\,a^4\,c^2\,e-2\,a\,b^5\,d-2\,b^6\,d\,x+2\,a\,b^5\,e\,x-2\,a\,b^4\,d\,\sqrt{b^2-4\,a\,c}-2\,b^5\,d\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^3\,c\,d-13\,a^3\,b\,c^2\,d-9\,a^3\,b^2\,c\,e+2\,a^3\,c^3\,d\,x+2\,a^2\,b^3\,e\,\sqrt{b^2-4\,a\,c}-a^3\,c^2\,d\,\sqrt{b^2-4\,a\,c}+2\,a\,b^4\,e\,x\,\sqrt{b^2-4\,a\,c}-10\,a^2\,b^3\,c\,e\,x+9\,a^3\,b\,c^2\,e\,x+5\,a^2\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}+3\,a^3\,c^2\,e\,x\,\sqrt{b^2-4\,a\,c}-17\,a^2\,b^2\,c^2\,d\,x+12\,a\,b^4\,c\,d\,x-3\,a^3\,b\,c\,e\,\sqrt{b^2-4\,a\,c}+8\,a\,b^3\,c\,d\,x\,\sqrt{b^2-4\,a\,c}-7\,a^2\,b\,c^2\,d\,x\,\sqrt{b^2-4\,a\,c}-6\,a^2\,b^2\,c\,e\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^5\,d+b^4\,d\,\sqrt{b^2-4\,a\,c}-4\,a^3\,c^2\,e-a\,b^4\,e-6\,a\,b^3\,c\,d-a\,b^3\,e\,\sqrt{b^2-4\,a\,c}+8\,a^2\,b\,c^2\,d+5\,a^2\,b^2\,c\,e+2\,a^2\,c^2\,d\,\sqrt{b^2-4\,a\,c}-4\,a\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}+3\,a^2\,b\,c\,e\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^5\,c-a^4\,b^2\right)}-\frac{\ln\left(x\right)\,\left(b^3\,d-a\,\left(e\,b^2+2\,c\,d\,b\right)+a^2\,c\,e\right)}{a^4}","Not used",1,"(log(2*a^2*b^4*e + 6*a^4*c^2*e - 2*a*b^5*d - 2*b^6*d*x + 2*a*b^5*e*x + 2*a*b^4*d*(b^2 - 4*a*c)^(1/2) + 2*b^5*d*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^3*c*d - 13*a^3*b*c^2*d - 9*a^3*b^2*c*e + 2*a^3*c^3*d*x - 2*a^2*b^3*e*(b^2 - 4*a*c)^(1/2) + a^3*c^2*d*(b^2 - 4*a*c)^(1/2) - 2*a*b^4*e*x*(b^2 - 4*a*c)^(1/2) - 10*a^2*b^3*c*e*x + 9*a^3*b*c^2*e*x - 5*a^2*b^2*c*d*(b^2 - 4*a*c)^(1/2) - 3*a^3*c^2*e*x*(b^2 - 4*a*c)^(1/2) - 17*a^2*b^2*c^2*d*x + 12*a*b^4*c*d*x + 3*a^3*b*c*e*(b^2 - 4*a*c)^(1/2) - 8*a*b^3*c*d*x*(b^2 - 4*a*c)^(1/2) + 7*a^2*b*c^2*d*x*(b^2 - 4*a*c)^(1/2) + 6*a^2*b^2*c*e*x*(b^2 - 4*a*c)^(1/2))*(b^4*d*(b^2 - 4*a*c)^(1/2) - b^5*d + 4*a^3*c^2*e + a*b^4*e + 6*a*b^3*c*d - a*b^3*e*(b^2 - 4*a*c)^(1/2) - 8*a^2*b*c^2*d - 5*a^2*b^2*c*e + 2*a^2*c^2*d*(b^2 - 4*a*c)^(1/2) - 4*a*b^2*c*d*(b^2 - 4*a*c)^(1/2) + 3*a^2*b*c*e*(b^2 - 4*a*c)^(1/2)))/(2*(4*a^5*c - a^4*b^2)) - (d/(3*a) + (x*(a*e - b*d))/(2*a^2) - (x^2*(a*b*e - b^2*d + a*c*d))/a^3)/x^3 - (log(2*a^2*b^4*e + 6*a^4*c^2*e - 2*a*b^5*d - 2*b^6*d*x + 2*a*b^5*e*x - 2*a*b^4*d*(b^2 - 4*a*c)^(1/2) - 2*b^5*d*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^3*c*d - 13*a^3*b*c^2*d - 9*a^3*b^2*c*e + 2*a^3*c^3*d*x + 2*a^2*b^3*e*(b^2 - 4*a*c)^(1/2) - a^3*c^2*d*(b^2 - 4*a*c)^(1/2) + 2*a*b^4*e*x*(b^2 - 4*a*c)^(1/2) - 10*a^2*b^3*c*e*x + 9*a^3*b*c^2*e*x + 5*a^2*b^2*c*d*(b^2 - 4*a*c)^(1/2) + 3*a^3*c^2*e*x*(b^2 - 4*a*c)^(1/2) - 17*a^2*b^2*c^2*d*x + 12*a*b^4*c*d*x - 3*a^3*b*c*e*(b^2 - 4*a*c)^(1/2) + 8*a*b^3*c*d*x*(b^2 - 4*a*c)^(1/2) - 7*a^2*b*c^2*d*x*(b^2 - 4*a*c)^(1/2) - 6*a^2*b^2*c*e*x*(b^2 - 4*a*c)^(1/2))*(b^5*d + b^4*d*(b^2 - 4*a*c)^(1/2) - 4*a^3*c^2*e - a*b^4*e - 6*a*b^3*c*d - a*b^3*e*(b^2 - 4*a*c)^(1/2) + 8*a^2*b*c^2*d + 5*a^2*b^2*c*e + 2*a^2*c^2*d*(b^2 - 4*a*c)^(1/2) - 4*a*b^2*c*d*(b^2 - 4*a*c)^(1/2) + 3*a^2*b*c*e*(b^2 - 4*a*c)^(1/2)))/(2*(4*a^5*c - a^4*b^2)) - (log(x)*(b^3*d - a*(b^2*e + 2*b*c*d) + a^2*c*e))/a^4","B"
890,1,427,262,1.979311,"\text{Not used}","int((x^4*(d + e*x))/(a + b*x + c*x^2)^2,x)","x\,\left(\frac{d}{c^2}-\frac{2\,b\,e}{c^3}\right)-\frac{\frac{a\,\left(2\,e\,a^2\,c^2-4\,e\,a\,b^2\,c+3\,d\,a\,b\,c^2+e\,b^4-d\,b^3\,c\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(5\,e\,a^2\,b\,c^2-2\,d\,a^2\,c^3-5\,e\,a\,b^3\,c+4\,d\,a\,b^2\,c^2+e\,b^5-d\,b^4\,c\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^4\,x^2+b\,c^3\,x+a\,c^3}+\frac{e\,x^2}{2\,c^2}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(128\,e\,a^4\,c^4-288\,e\,a^3\,b^2\,c^3+128\,d\,a^3\,b\,c^4+168\,e\,a^2\,b^4\,c^2-96\,d\,a^2\,b^3\,c^3-38\,e\,a\,b^6\,c+24\,d\,a\,b^5\,c^2+3\,e\,b^8-2\,d\,b^7\,c\right)}{2\,\left(64\,a^3\,c^7-48\,a^2\,b^2\,c^6+12\,a\,b^4\,c^5-b^6\,c^4\right)}+\frac{\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c^3-4\,a\,b\,c^4}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(30\,e\,a^2\,b\,c^2-12\,d\,a^2\,c^3-20\,e\,a\,b^3\,c+12\,d\,a\,b^2\,c^2+3\,e\,b^5-2\,d\,b^4\,c\right)}{c^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"x*(d/c^2 - (2*b*e)/c^3) - ((a*(b^4*e + 2*a^2*c^2*e - b^3*c*d + 3*a*b*c^2*d - 4*a*b^2*c*e))/(c*(4*a*c - b^2)) + (x*(b^5*e - 2*a^2*c^3*d - b^4*c*d - 5*a*b^3*c*e + 4*a*b^2*c^2*d + 5*a^2*b*c^2*e))/(c*(4*a*c - b^2)))/(a*c^3 + c^4*x^2 + b*c^3*x) + (e*x^2)/(2*c^2) - (log(a + b*x + c*x^2)*(3*b^8*e + 128*a^4*c^4*e - 2*b^7*c*d - 96*a^2*b^3*c^3*d + 168*a^2*b^4*c^2*e - 288*a^3*b^2*c^3*e - 38*a*b^6*c*e + 24*a*b^5*c^2*d + 128*a^3*b*c^4*d))/(2*(64*a^3*c^7 - b^6*c^4 + 12*a*b^4*c^5 - 48*a^2*b^2*c^6)) + (atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c^3 - 4*a*b*c^4)/(c^3*(4*a*c - b^2)^(3/2)))*(3*b^5*e - 12*a^2*c^3*d - 2*b^4*c*d - 20*a*b^3*c*e + 12*a*b^2*c^2*d + 30*a^2*b*c^2*e))/(c^4*(4*a*c - b^2)^(3/2))","B"
891,1,360,192,1.854163,"\text{Not used}","int((x^3*(d + e*x))/(a + b*x + c*x^2)^2,x)","\frac{\frac{a\,\left(e\,b^3-d\,b^2\,c-3\,a\,e\,b\,c+2\,a\,d\,c^2\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(2\,e\,a^2\,c^2-4\,e\,a\,b^2\,c+3\,d\,a\,b\,c^2+e\,b^4-d\,b^3\,c\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^3\,x^2+b\,c^2\,x+a\,c^2}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-128\,e\,a^3\,b\,c^3+64\,d\,a^3\,c^4+96\,e\,a^2\,b^3\,c^2-48\,d\,a^2\,b^2\,c^3-24\,e\,a\,b^5\,c+12\,d\,a\,b^4\,c^2+2\,e\,b^7-d\,b^6\,c\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{e\,x}{c^2}-\frac{\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c^2-4\,a\,b\,c^3}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(12\,e\,a^2\,c^2-12\,e\,a\,b^2\,c+6\,d\,a\,b\,c^2+2\,e\,b^4-d\,b^3\,c\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(b^3*e + 2*a*c^2*d - b^2*c*d - 3*a*b*c*e))/(c*(4*a*c - b^2)) + (x*(b^4*e + 2*a^2*c^2*e - b^3*c*d + 3*a*b*c^2*d - 4*a*b^2*c*e))/(c*(4*a*c - b^2)))/(a*c^2 + c^3*x^2 + b*c^2*x) + (log(a + b*x + c*x^2)*(2*b^7*e + 64*a^3*c^4*d - b^6*c*d - 48*a^2*b^2*c^3*d + 96*a^2*b^3*c^2*e - 24*a*b^5*c*e + 12*a*b^4*c^2*d - 128*a^3*b*c^3*e))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (e*x)/c^2 - (atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c^2 - 4*a*b*c^3)/(c^2*(4*a*c - b^2)^(3/2)))*(2*b^4*e + 12*a^2*c^2*e - b^3*c*d + 6*a*b*c^2*d - 12*a*b^2*c*e))/(c^3*(4*a*c - b^2)^(3/2))","B"
892,1,895,132,1.535973,"\text{Not used}","int((x^2*(d + e*x))/(a + b*x + c*x^2)^2,x)","\frac{2\,a^2\,c\,e}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}-\frac{a\,b^2\,e}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}-\frac{b^3\,e\,x}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}+\frac{4\,a\,d\,\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3}{{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b^6\,e\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}-\frac{2\,a\,c^2\,d\,x}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}+\frac{b^2\,c\,d\,x}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}+\frac{a\,b\,c\,d}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}+\frac{32\,a^3\,c^3\,e\,\ln\left(c\,x^2+b\,x+a\right)}{64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2}+\frac{b^3\,e\,\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3}{{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{3\,a\,b\,c\,e\,x}{4\,a^2\,c^3-a\,b^2\,c^2+4\,a\,b\,c^3\,x+4\,a\,c^4\,x^2-b^3\,c^2\,x-b^2\,c^3\,x^2}-\frac{24\,a^2\,b^2\,c^2\,e\,\ln\left(c\,x^2+b\,x+a\right)}{64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2}+\frac{6\,a\,b^4\,c\,e\,\ln\left(c\,x^2+b\,x+a\right)}{64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2}-\frac{6\,a\,b\,e\,\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3}{{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{c\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"(2*a^2*c*e)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) - (a*b^2*e)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) - (b^3*e*x)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) + (4*a*d*atan((2*c*x)/(4*a*c - b^2)^(1/2) - b^3/(4*a*c - b^2)^(3/2) + (4*a*b*c)/(4*a*c - b^2)^(3/2)))/(4*a*c - b^2)^(3/2) - (b^6*e*log(a + b*x + c*x^2))/(2*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)) - (2*a*c^2*d*x)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) + (b^2*c*d*x)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) + (a*b*c*d)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) + (32*a^3*c^3*e*log(a + b*x + c*x^2))/(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4) + (b^3*e*atan((2*c*x)/(4*a*c - b^2)^(1/2) - b^3/(4*a*c - b^2)^(3/2) + (4*a*b*c)/(4*a*c - b^2)^(3/2)))/(c^2*(4*a*c - b^2)^(3/2)) + (3*a*b*c*e*x)/(4*a^2*c^3 - a*b^2*c^2 + 4*a*c^4*x^2 - b^3*c^2*x - b^2*c^3*x^2 + 4*a*b*c^3*x) - (24*a^2*b^2*c^2*e*log(a + b*x + c*x^2))/(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4) + (6*a*b^4*c*e*log(a + b*x + c*x^2))/(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4) - (6*a*b*e*atan((2*c*x)/(4*a*c - b^2)^(1/2) - b^3/(4*a*c - b^2)^(3/2) + (4*a*b*c)/(4*a*c - b^2)^(3/2)))/(c*(4*a*c - b^2)^(3/2))","B"
893,1,177,99,1.279070,"\text{Not used}","int((x*(d + e*x))/(a + b*x + c*x^2)^2,x)","\frac{\frac{a\,\left(b\,e-2\,c\,d\right)}{c\,\left(4\,a\,c-b^2\right)}-\frac{x\,\left(-e\,b^2+c\,d\,b+2\,a\,c\,e\right)}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{2\,\mathrm{atan}\left(\frac{\left(4\,a\,c-b^2\right)\,\left(\frac{\left(b^3-4\,a\,b\,c\right)\,\left(2\,a\,e-b\,d\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{2\,c\,x\,\left(2\,a\,e-b\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{2\,a\,e-b\,d}\right)\,\left(2\,a\,e-b\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(b*e - 2*c*d))/(c*(4*a*c - b^2)) - (x*(2*a*c*e - b^2*e + b*c*d))/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - (2*atan(((4*a*c - b^2)*(((b^3 - 4*a*b*c)*(2*a*e - b*d))/(4*a*c - b^2)^(5/2) - (2*c*x*(2*a*e - b*d))/(4*a*c - b^2)^(3/2)))/(2*a*e - b*d))*(2*a*e - b*d))/(4*a*c - b^2)^(3/2)","B"
894,1,159,87,0.110436,"\text{Not used}","int((d + e*x)/(a + b*x + c*x^2)^2,x)","\frac{2\,\mathrm{atan}\left(\frac{\left(4\,a\,c-b^2\right)\,\left(\frac{\left(b^3-4\,a\,b\,c\right)\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{2\,c\,x\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{b\,e-2\,c\,d}\right)\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\frac{2\,a\,e-b\,d}{4\,a\,c-b^2}+\frac{x\,\left(b\,e-2\,c\,d\right)}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}","Not used",1,"(2*atan(((4*a*c - b^2)*(((b^3 - 4*a*b*c)*(b*e - 2*c*d))/(4*a*c - b^2)^(5/2) - (2*c*x*(b*e - 2*c*d))/(4*a*c - b^2)^(3/2)))/(b*e - 2*c*d))*(b*e - 2*c*d))/(4*a*c - b^2)^(3/2) - ((2*a*e - b*d)/(4*a*c - b^2) + (x*(b*e - 2*c*d))/(4*a*c - b^2))/(a + b*x + c*x^2)","B"
895,1,920,135,2.419606,"\text{Not used}","int((d + e*x)/(x*(a + b*x + c*x^2)^2),x)","\frac{\frac{-d\,b^2+a\,e\,b+2\,a\,c\,d}{a\,\left(4\,a\,c-b^2\right)}+\frac{c\,x\,\left(2\,a\,e-b\,d\right)}{a\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\ln\left(96\,a^4\,c^3\,d-2\,a\,b^6\,d-2\,b^7\,d\,x-84\,a^3\,b^2\,c^2\,d+2\,a\,b^3\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+23\,a^2\,b^4\,c\,d-2\,a^3\,b^3\,c\,e+8\,a^4\,b\,c^2\,e+2\,a^3\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,b^4\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,a^4\,c^3\,e\,x-9\,a^2\,b\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+120\,a^3\,b\,c^3\,d\,x-2\,a^2\,b^4\,c\,e\,x-94\,a^2\,b^3\,c^2\,d\,x+12\,a^2\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^3\,b^2\,c^2\,e\,x+24\,a\,b^5\,c\,d\,x-12\,a\,b^2\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,a^2\,b\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{d}{2\,a^2}-\frac{\frac{b^3\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}+2\,a^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}\right)-\ln\left(2\,a\,b^6\,d-96\,a^4\,c^3\,d+2\,b^7\,d\,x+84\,a^3\,b^2\,c^2\,d+2\,a\,b^3\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-23\,a^2\,b^4\,c\,d+2\,a^3\,b^3\,c\,e-8\,a^4\,b\,c^2\,e+2\,a^3\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,b^4\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,a^4\,c^3\,e\,x-9\,a^2\,b\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-120\,a^3\,b\,c^3\,d\,x+2\,a^2\,b^4\,c\,e\,x+94\,a^2\,b^3\,c^2\,d\,x+12\,a^2\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a^3\,b^2\,c^2\,e\,x-24\,a\,b^5\,c\,d\,x-12\,a\,b^2\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,a^2\,b\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{d}{2\,a^2}+\frac{\frac{b^3\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}+2\,a^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}\right)+\frac{d\,\ln\left(x\right)}{a^2}","Not used",1,"((a*b*e - b^2*d + 2*a*c*d)/(a*(4*a*c - b^2)) + (c*x*(2*a*e - b*d))/(a*(4*a*c - b^2)))/(a + b*x + c*x^2) - log(96*a^4*c^3*d - 2*a*b^6*d - 2*b^7*d*x - 84*a^3*b^2*c^2*d + 2*a*b^3*d*(-(4*a*c - b^2)^3)^(1/2) + 23*a^2*b^4*c*d - 2*a^3*b^3*c*e + 8*a^4*b*c^2*e + 2*a^3*c*e*(-(4*a*c - b^2)^3)^(1/2) + 2*b^4*d*x*(-(4*a*c - b^2)^3)^(1/2) - 16*a^4*c^3*e*x - 9*a^2*b*c*d*(-(4*a*c - b^2)^3)^(1/2) + 120*a^3*b*c^3*d*x - 2*a^2*b^4*c*e*x - 94*a^2*b^3*c^2*d*x + 12*a^2*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) + 12*a^3*b^2*c^2*e*x + 24*a*b^5*c*d*x - 12*a*b^2*c*d*x*(-(4*a*c - b^2)^3)^(1/2) + 2*a^2*b*c*e*x*(-(4*a*c - b^2)^3)^(1/2))*(d/(2*a^2) - ((b^3*d*(-(4*a*c - b^2)^3)^(1/2))/2 + 2*a^2*c*e*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b*c*d*(-(4*a*c - b^2)^3)^(1/2))/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - log(2*a*b^6*d - 96*a^4*c^3*d + 2*b^7*d*x + 84*a^3*b^2*c^2*d + 2*a*b^3*d*(-(4*a*c - b^2)^3)^(1/2) - 23*a^2*b^4*c*d + 2*a^3*b^3*c*e - 8*a^4*b*c^2*e + 2*a^3*c*e*(-(4*a*c - b^2)^3)^(1/2) + 2*b^4*d*x*(-(4*a*c - b^2)^3)^(1/2) + 16*a^4*c^3*e*x - 9*a^2*b*c*d*(-(4*a*c - b^2)^3)^(1/2) - 120*a^3*b*c^3*d*x + 2*a^2*b^4*c*e*x + 94*a^2*b^3*c^2*d*x + 12*a^2*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) - 12*a^3*b^2*c^2*e*x - 24*a*b^5*c*d*x - 12*a*b^2*c*d*x*(-(4*a*c - b^2)^3)^(1/2) + 2*a^2*b*c*e*x*(-(4*a*c - b^2)^3)^(1/2))*(d/(2*a^2) + ((b^3*d*(-(4*a*c - b^2)^3)^(1/2))/2 + 2*a^2*c*e*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b*c*d*(-(4*a*c - b^2)^3)^(1/2))/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (d*log(x))/a^2","B"
896,1,1366,211,3.092223,"\text{Not used}","int((d + e*x)/(x^2*(a + b*x + c*x^2)^2),x)","\ln\left(96\,a^5\,c^3\,e-2\,a^2\,b^6\,e+4\,a\,b^7\,d+4\,b^8\,d\,x+174\,a^3\,b^3\,c^2\,d-2\,a^2\,b^3\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^3\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-84\,a^4\,b^2\,c^2\,e-2\,a\,b^7\,e\,x+4\,a\,b^4\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-46\,a^2\,b^5\,c\,d-216\,a^4\,b\,c^3\,d+23\,a^3\,b^4\,c\,e+48\,a^4\,c^4\,d\,x+4\,b^5\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a^3\,b\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,a\,b^4\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a^2\,b^5\,c\,e\,x+120\,a^4\,b\,c^3\,e\,x-18\,a^2\,b^2\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+194\,a^2\,b^4\,c^2\,d\,x-276\,a^3\,b^2\,c^3\,d\,x-94\,a^3\,b^3\,c^2\,e\,x-12\,a^3\,c^2\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-48\,a\,b^6\,c\,d\,x-24\,a\,b^3\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+30\,a^2\,b\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b^2\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-\frac{a\,b^3\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-6\,a\,b^2\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,a^2\,b\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{e}{2\,a^2}+\frac{b\,d}{a^3}\right)-\ln\left(2\,a^2\,b^6\,e-96\,a^5\,c^3\,e-4\,a\,b^7\,d-4\,b^8\,d\,x-174\,a^3\,b^3\,c^2\,d-2\,a^2\,b^3\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^3\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+84\,a^4\,b^2\,c^2\,e+2\,a\,b^7\,e\,x+4\,a\,b^4\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+46\,a^2\,b^5\,c\,d+216\,a^4\,b\,c^3\,d-23\,a^3\,b^4\,c\,e-48\,a^4\,c^4\,d\,x+4\,b^5\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a^3\,b\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,a\,b^4\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a^2\,b^5\,c\,e\,x-120\,a^4\,b\,c^3\,e\,x-18\,a^2\,b^2\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-194\,a^2\,b^4\,c^2\,d\,x+276\,a^3\,b^2\,c^3\,d\,x+94\,a^3\,b^3\,c^2\,e\,x-12\,a^3\,c^2\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a\,b^6\,c\,d\,x-24\,a\,b^3\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+30\,a^2\,b\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b^2\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-\frac{a\,b^3\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-6\,a\,b^2\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,a^2\,b\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{e}{2\,a^2}-\frac{b\,d}{a^3}\right)-\frac{\frac{d}{a}-\frac{x\,\left(2\,c\,e\,a^2-e\,a\,b^2-7\,c\,d\,a\,b+2\,d\,b^3\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^2\,\left(-2\,d\,b^2+a\,e\,b+6\,a\,c\,d\right)}{a^2\,\left(4\,a\,c-b^2\right)}}{c\,x^3+b\,x^2+a\,x}+\frac{\ln\left(x\right)\,\left(a\,e-2\,b\,d\right)}{a^3}","Not used",1,"log(96*a^5*c^3*e - 2*a^2*b^6*e + 4*a*b^7*d + 4*b^8*d*x + 174*a^3*b^3*c^2*d - 2*a^2*b^3*e*(-(4*a*c - b^2)^3)^(1/2) + 6*a^3*c^2*d*(-(4*a*c - b^2)^3)^(1/2) - 84*a^4*b^2*c^2*e - 2*a*b^7*e*x + 4*a*b^4*d*(-(4*a*c - b^2)^3)^(1/2) - 46*a^2*b^5*c*d - 216*a^4*b*c^3*d + 23*a^3*b^4*c*e + 48*a^4*c^4*d*x + 4*b^5*d*x*(-(4*a*c - b^2)^3)^(1/2) + 9*a^3*b*c*e*(-(4*a*c - b^2)^3)^(1/2) - 2*a*b^4*e*x*(-(4*a*c - b^2)^3)^(1/2) + 24*a^2*b^5*c*e*x + 120*a^4*b*c^3*e*x - 18*a^2*b^2*c*d*(-(4*a*c - b^2)^3)^(1/2) + 194*a^2*b^4*c^2*d*x - 276*a^3*b^2*c^3*d*x - 94*a^3*b^3*c^2*e*x - 12*a^3*c^2*e*x*(-(4*a*c - b^2)^3)^(1/2) - 48*a*b^6*c*d*x - 24*a*b^3*c*d*x*(-(4*a*c - b^2)^3)^(1/2) + 30*a^2*b*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b^2*c*e*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*d*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*d*(-(4*a*c - b^2)^3)^(1/2) - (a*b^3*e*(-(4*a*c - b^2)^3)^(1/2))/2 - 6*a*b^2*c*d*(-(4*a*c - b^2)^3)^(1/2) + 3*a^2*b*c*e*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - e/(2*a^2) + (b*d)/a^3) - log(2*a^2*b^6*e - 96*a^5*c^3*e - 4*a*b^7*d - 4*b^8*d*x - 174*a^3*b^3*c^2*d - 2*a^2*b^3*e*(-(4*a*c - b^2)^3)^(1/2) + 6*a^3*c^2*d*(-(4*a*c - b^2)^3)^(1/2) + 84*a^4*b^2*c^2*e + 2*a*b^7*e*x + 4*a*b^4*d*(-(4*a*c - b^2)^3)^(1/2) + 46*a^2*b^5*c*d + 216*a^4*b*c^3*d - 23*a^3*b^4*c*e - 48*a^4*c^4*d*x + 4*b^5*d*x*(-(4*a*c - b^2)^3)^(1/2) + 9*a^3*b*c*e*(-(4*a*c - b^2)^3)^(1/2) - 2*a*b^4*e*x*(-(4*a*c - b^2)^3)^(1/2) - 24*a^2*b^5*c*e*x - 120*a^4*b*c^3*e*x - 18*a^2*b^2*c*d*(-(4*a*c - b^2)^3)^(1/2) - 194*a^2*b^4*c^2*d*x + 276*a^3*b^2*c^3*d*x + 94*a^3*b^3*c^2*e*x - 12*a^3*c^2*e*x*(-(4*a*c - b^2)^3)^(1/2) + 48*a*b^6*c*d*x - 24*a*b^3*c*d*x*(-(4*a*c - b^2)^3)^(1/2) + 30*a^2*b*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b^2*c*e*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*d*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*d*(-(4*a*c - b^2)^3)^(1/2) - (a*b^3*e*(-(4*a*c - b^2)^3)^(1/2))/2 - 6*a*b^2*c*d*(-(4*a*c - b^2)^3)^(1/2) + 3*a^2*b*c*e*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + e/(2*a^2) - (b*d)/a^3) - (d/a - (x*(2*b^3*d - a*b^2*e + 2*a^2*c*e - 7*a*b*c*d))/(a^2*(4*a*c - b^2)) + (c*x^2*(a*b*e - 2*b^2*d + 6*a*c*d))/(a^2*(4*a*c - b^2)))/(a*x + b*x^2 + c*x^3) + (log(x)*(a*e - 2*b*d))/a^3","B"
897,1,1661,283,3.055524,"\text{Not used}","int((d + e*x)/(x^3*(a + b*x + c*x^2)^2),x)","\ln\left(192\,a^5\,c^4\,d-4\,a^2\,b^7\,e+6\,a\,b^8\,d+6\,b^9\,d\,x+307\,a^3\,b^4\,c^2\,d-492\,a^4\,b^2\,c^3\,d+4\,a^2\,b^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-174\,a^4\,b^3\,c^2\,e+6\,a^4\,c^2\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b^8\,e\,x-6\,a\,b^5\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-73\,a^2\,b^6\,c\,d+46\,a^3\,b^5\,c\,e+216\,a^5\,b\,c^3\,e-6\,b^6\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-48\,a^5\,c^4\,e\,x+312\,a^4\,b\,c^4\,d\,x+4\,a\,b^5\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^6\,c\,e\,x+31\,a^2\,b^3\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-27\,a^3\,b\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-18\,a^3\,b^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+339\,a^2\,b^5\,c^2\,d\,x-602\,a^3\,b^3\,c^3\,d\,x+24\,a^3\,c^3\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-194\,a^3\,b^4\,c^2\,e\,x+276\,a^4\,b^2\,c^3\,e\,x-76\,a\,b^7\,c\,d\,x-69\,a^2\,b^2\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+40\,a\,b^4\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a^2\,b^3\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+30\,a^3\,b\,c^2\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{\frac{3\,b^5\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-6\,a^3\,c^2\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-a\,b^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^3\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,b^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6}-\frac{3\,b^2\,d}{2\,a^4}+\frac{b\,e}{a^3}+\frac{c\,d}{a^3}\right)-\ln\left(4\,a^2\,b^7\,e-192\,a^5\,c^4\,d-6\,a\,b^8\,d-6\,b^9\,d\,x-307\,a^3\,b^4\,c^2\,d+492\,a^4\,b^2\,c^3\,d+4\,a^2\,b^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+174\,a^4\,b^3\,c^2\,e+6\,a^4\,c^2\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,a\,b^8\,e\,x-6\,a\,b^5\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+73\,a^2\,b^6\,c\,d-46\,a^3\,b^5\,c\,e-216\,a^5\,b\,c^3\,e-6\,b^6\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^5\,c^4\,e\,x-312\,a^4\,b\,c^4\,d\,x+4\,a\,b^5\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-48\,a^2\,b^6\,c\,e\,x+31\,a^2\,b^3\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-27\,a^3\,b\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-18\,a^3\,b^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-339\,a^2\,b^5\,c^2\,d\,x+602\,a^3\,b^3\,c^3\,d\,x+24\,a^3\,c^3\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+194\,a^3\,b^4\,c^2\,e\,x-276\,a^4\,b^2\,c^3\,e\,x+76\,a\,b^7\,c\,d\,x-69\,a^2\,b^2\,c^2\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+40\,a\,b^4\,c\,d\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a^2\,b^3\,c\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+30\,a^3\,b\,c^2\,e\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{\frac{3\,b^5\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-6\,a^3\,c^2\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-a\,b^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,a\,b^3\,c\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,d\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,b^2\,c\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^7\,c^3+48\,a^6\,b^2\,c^2-12\,a^5\,b^4\,c+a^4\,b^6}+\frac{3\,b^2\,d}{2\,a^4}-\frac{b\,e}{a^3}-\frac{c\,d}{a^3}\right)-\frac{\frac{d}{2\,a}+\frac{x\,\left(2\,a\,e-3\,b\,d\right)}{2\,a^2}+\frac{x^2\,\left(14\,e\,a^2\,b\,c+8\,d\,a^2\,c^2-4\,e\,a\,b^3-25\,d\,a\,b^2\,c+6\,d\,b^4\right)}{2\,a^3\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^3\,\left(6\,c\,e\,a^2-2\,e\,a\,b^2-11\,c\,d\,a\,b+3\,d\,b^3\right)}{a^3\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^3+a\,x^2}-\frac{\ln\left(x\right)\,\left(a\,\left(2\,b\,e+2\,c\,d\right)-3\,b^2\,d\right)}{a^4}","Not used",1,"log(192*a^5*c^4*d - 4*a^2*b^7*e + 6*a*b^8*d + 6*b^9*d*x + 307*a^3*b^4*c^2*d - 492*a^4*b^2*c^3*d + 4*a^2*b^4*e*(-(4*a*c - b^2)^3)^(1/2) - 174*a^4*b^3*c^2*e + 6*a^4*c^2*e*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b^8*e*x - 6*a*b^5*d*(-(4*a*c - b^2)^3)^(1/2) - 73*a^2*b^6*c*d + 46*a^3*b^5*c*e + 216*a^5*b*c^3*e - 6*b^6*d*x*(-(4*a*c - b^2)^3)^(1/2) - 48*a^5*c^4*e*x + 312*a^4*b*c^4*d*x + 4*a*b^5*e*x*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^6*c*e*x + 31*a^2*b^3*c*d*(-(4*a*c - b^2)^3)^(1/2) - 27*a^3*b*c^2*d*(-(4*a*c - b^2)^3)^(1/2) - 18*a^3*b^2*c*e*(-(4*a*c - b^2)^3)^(1/2) + 339*a^2*b^5*c^2*d*x - 602*a^3*b^3*c^3*d*x + 24*a^3*c^3*d*x*(-(4*a*c - b^2)^3)^(1/2) - 194*a^3*b^4*c^2*e*x + 276*a^4*b^2*c^3*e*x - 76*a*b^7*c*d*x - 69*a^2*b^2*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) + 40*a*b^4*c*d*x*(-(4*a*c - b^2)^3)^(1/2) - 24*a^2*b^3*c*e*x*(-(4*a*c - b^2)^3)^(1/2) + 30*a^3*b*c^2*e*x*(-(4*a*c - b^2)^3)^(1/2))*(((3*b^5*d*(-(4*a*c - b^2)^3)^(1/2))/2 - 6*a^3*c^2*e*(-(4*a*c - b^2)^3)^(1/2) - a*b^4*e*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^3*c*d*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*d*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*b^2*c*e*(-(4*a*c - b^2)^3)^(1/2))/(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2) - (3*b^2*d)/(2*a^4) + (b*e)/a^3 + (c*d)/a^3) - log(4*a^2*b^7*e - 192*a^5*c^4*d - 6*a*b^8*d - 6*b^9*d*x - 307*a^3*b^4*c^2*d + 492*a^4*b^2*c^3*d + 4*a^2*b^4*e*(-(4*a*c - b^2)^3)^(1/2) + 174*a^4*b^3*c^2*e + 6*a^4*c^2*e*(-(4*a*c - b^2)^3)^(1/2) + 4*a*b^8*e*x - 6*a*b^5*d*(-(4*a*c - b^2)^3)^(1/2) + 73*a^2*b^6*c*d - 46*a^3*b^5*c*e - 216*a^5*b*c^3*e - 6*b^6*d*x*(-(4*a*c - b^2)^3)^(1/2) + 48*a^5*c^4*e*x - 312*a^4*b*c^4*d*x + 4*a*b^5*e*x*(-(4*a*c - b^2)^3)^(1/2) - 48*a^2*b^6*c*e*x + 31*a^2*b^3*c*d*(-(4*a*c - b^2)^3)^(1/2) - 27*a^3*b*c^2*d*(-(4*a*c - b^2)^3)^(1/2) - 18*a^3*b^2*c*e*(-(4*a*c - b^2)^3)^(1/2) - 339*a^2*b^5*c^2*d*x + 602*a^3*b^3*c^3*d*x + 24*a^3*c^3*d*x*(-(4*a*c - b^2)^3)^(1/2) + 194*a^3*b^4*c^2*e*x - 276*a^4*b^2*c^3*e*x + 76*a*b^7*c*d*x - 69*a^2*b^2*c^2*d*x*(-(4*a*c - b^2)^3)^(1/2) + 40*a*b^4*c*d*x*(-(4*a*c - b^2)^3)^(1/2) - 24*a^2*b^3*c*e*x*(-(4*a*c - b^2)^3)^(1/2) + 30*a^3*b*c^2*e*x*(-(4*a*c - b^2)^3)^(1/2))*(((3*b^5*d*(-(4*a*c - b^2)^3)^(1/2))/2 - 6*a^3*c^2*e*(-(4*a*c - b^2)^3)^(1/2) - a*b^4*e*(-(4*a*c - b^2)^3)^(1/2) - 10*a*b^3*c*d*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*d*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*b^2*c*e*(-(4*a*c - b^2)^3)^(1/2))/(a^4*b^6 - 64*a^7*c^3 - 12*a^5*b^4*c + 48*a^6*b^2*c^2) + (3*b^2*d)/(2*a^4) - (b*e)/a^3 - (c*d)/a^3) - (d/(2*a) + (x*(2*a*e - 3*b*d))/(2*a^2) + (x^2*(6*b^4*d + 8*a^2*c^2*d - 4*a*b^3*e - 25*a*b^2*c*d + 14*a^2*b*c*e))/(2*a^3*(4*a*c - b^2)) + (c*x^3*(3*b^3*d - 2*a*b^2*e + 6*a^2*c*e - 11*a*b*c*d))/(a^3*(4*a*c - b^2)))/(a*x^2 + b*x^3 + c*x^4) - (log(x)*(a*(2*b*e + 2*c*d) - 3*b^2*d))/a^4","B"
898,1,9,9,0.044893,"\text{Not used}","int((2*x + 5)/(5*x + x^2 + 4),x)","\ln\left(x^2+5\,x+4\right)","Not used",1,"log(5*x + x^2 + 4)","B"
899,1,13,17,0.046227,"\text{Not used}","int((3*x + 7)/(6*x + x^2 + 8),x)","\frac{\ln\left(x+2\right)}{2}+\frac{5\,\ln\left(x+4\right)}{2}","Not used",1,"log(x + 2)/2 + (5*log(x + 4))/2","B"
900,1,14,14,1.176861,"\text{Not used}","int((2*x + 5)/(4*x + x^2 + 5),x)","\mathrm{atan}\left(x+2\right)+\ln\left(x^2+4\,x+5\right)","Not used",1,"atan(x + 2) + log(4*x + x^2 + 5)","B"
901,1,30,33,1.166969,"\text{Not used}","int((7*x - 2)/(2*x^2 - 16*x + 42),x)","\frac{7\,\ln\left(x^2-8\,x+21\right)}{4}+\frac{13\,\sqrt{5}\,\mathrm{atan}\left(\frac{\sqrt{5}\,x}{5}-\frac{4\,\sqrt{5}}{5}\right)}{5}","Not used",1,"(7*log(x^2 - 8*x + 21))/4 + (13*5^(1/2)*atan((5^(1/2)*x)/5 - (4*5^(1/2))/5))/5","B"
902,1,36,51,0.124422,"\text{Not used}","int((x + 3)/(3*x + x^2 + 1),x)","\ln\left(x-\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{10}+\frac{1}{2}\right)-\ln\left(x+\frac{\sqrt{5}}{2}+\frac{3}{2}\right)\,\left(\frac{3\,\sqrt{5}}{10}-\frac{1}{2}\right)","Not used",1,"log(x - 5^(1/2)/2 + 3/2)*((3*5^(1/2))/10 + 1/2) - log(x + 5^(1/2)/2 + 3/2)*((3*5^(1/2))/10 - 1/2)","B"
903,1,36,49,0.173834,"\text{Not used}","int((2*x - 1)/(8*x + 4*x^2 + 1),x)","\ln\left(x+\frac{\sqrt{3}}{2}+1\right)\,\left(\frac{\sqrt{3}}{4}+\frac{1}{4}\right)-\ln\left(x-\frac{\sqrt{3}}{2}+1\right)\,\left(\frac{\sqrt{3}}{4}-\frac{1}{4}\right)","Not used",1,"log(x + 3^(1/2)/2 + 1)*(3^(1/2)/4 + 1/4) - log(x - 3^(1/2)/2 + 1)*(3^(1/2)/4 - 1/4)","B"
904,1,14,16,1.160386,"\text{Not used}","int((2*x + 3)/(12*x + 4*x^2 + 13)^2,x)","-\frac{1}{16\,x^2+48\,x+52}","Not used",1,"-1/(48*x + 16*x^2 + 52)","B"
905,1,19,24,0.031651,"\text{Not used}","int((x + 4)/(4*x + x^2 + 5)^2,x)","\mathrm{atan}\left(x+2\right)+\frac{x+\frac{3}{2}}{x^2+4\,x+5}","Not used",1,"atan(x + 2) + (x + 3/2)/(4*x + x^2 + 5)","B"
906,1,34,39,0.041245,"\text{Not used}","int((3*x - 1)/(x + x^2 + 1)^2,x)","-\frac{10\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)}{9}-\frac{\frac{5\,x}{3}+\frac{7}{3}}{x^2+x+1}","Not used",1,"- (10*3^(1/2)*atan((2*3^(1/2)*x)/3 + 3^(1/2)/3))/9 - ((5*x)/3 + 7/3)/(x + x^2 + 1)","B"
907,1,53,58,0.048258,"\text{Not used}","int((x + 1)/(x^2 - x + 1)^3,x)","\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{3}+\frac{x^3-\frac{3\,x^2}{2}+2\,x-1}{x^4-2\,x^3+3\,x^2-2\,x+1}","Not used",1,"(2*3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/3 + (2*x - (3*x^2)/2 + x^3 - 1)/(3*x^2 - 2*x - 2*x^3 + x^4 + 1)","B"
908,1,10,10,1.150191,"\text{Not used}","int(1/(A + B*x),x)","\frac{\ln\left(A+B\,x\right)}{B}","Not used",1,"log(A + B*x)/B","B"
909,1,10,10,0.017080,"\text{Not used}","int((A + B*x)/(A^2 + B^2*x^2 + 2*A*B*x),x)","\frac{\ln\left(A+B\,x\right)}{B}","Not used",1,"log(A + B*x)/B","B"
910,1,992,367,3.908020,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{8\,B\,a^3\,\sqrt{c\,x^2+b\,x+a}}{105\,c^3}-\frac{33\,B\,b^6\,\sqrt{c\,x^2+b\,x+a}}{1024\,c^6}+\frac{A\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{6\,c}+\frac{B\,x^4\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{7\,c}+\frac{33\,B\,b^7\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{2048\,c^{13/2}}+\frac{A\,a\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}-\frac{3\,A\,b\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}-\frac{5\,B\,a^3\,b\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{32\,c^{7/2}}-\frac{63\,B\,a\,b^5\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{512\,c^{11/2}}+\frac{35\,B\,a^2\,b^3\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{128\,c^{9/2}}+\frac{13\,B\,a\,b^4\,\sqrt{c\,x^2+b\,x+a}}{64\,c^5}-\frac{4\,B\,a\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{35\,c^2}-\frac{11\,B\,b\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{84\,c^2}-\frac{33\,B\,b^3\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{320\,c^4}+\frac{11\,B\,b^5\,x\,\sqrt{c\,x^2+b\,x+a}}{512\,c^5}-\frac{103\,B\,a^2\,b^2\,\sqrt{c\,x^2+b\,x+a}}{320\,c^4}+\frac{8\,B\,a^2\,x^2\,\sqrt{c\,x^2+b\,x+a}}{105\,c^2}+\frac{33\,B\,b^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{280\,c^3}+\frac{11\,B\,b^4\,x^2\,\sqrt{c\,x^2+b\,x+a}}{128\,c^4}-\frac{39\,B\,a\,b^2\,x^2\,\sqrt{c\,x^2+b\,x+a}}{160\,c^3}+\frac{111\,B\,a\,b\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{560\,c^3}-\frac{269\,B\,a^2\,b\,x\,\sqrt{c\,x^2+b\,x+a}}{3360\,c^3}-\frac{3\,B\,a\,b^3\,x\,\sqrt{c\,x^2+b\,x+a}}{320\,c^4}","Not used",1,"(8*B*a^3*(a + b*x + c*x^2)^(1/2))/(105*c^3) - (33*B*b^6*(a + b*x + c*x^2)^(1/2))/(1024*c^6) + (A*x^3*(a + b*x + c*x^2)^(3/2))/(6*c) + (B*x^4*(a + b*x + c*x^2)^(3/2))/(7*c) + (33*B*b^7*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(2048*c^(13/2)) + (A*a*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) - (3*A*b*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) - (5*B*a^3*b*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(32*c^(7/2)) - (63*B*a*b^5*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(512*c^(11/2)) + (35*B*a^2*b^3*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(128*c^(9/2)) + (13*B*a*b^4*(a + b*x + c*x^2)^(1/2))/(64*c^5) - (4*B*a*x^2*(a + b*x + c*x^2)^(3/2))/(35*c^2) - (11*B*b*x^3*(a + b*x + c*x^2)^(3/2))/(84*c^2) - (33*B*b^3*x*(a + b*x + c*x^2)^(3/2))/(320*c^4) + (11*B*b^5*x*(a + b*x + c*x^2)^(1/2))/(512*c^5) - (103*B*a^2*b^2*(a + b*x + c*x^2)^(1/2))/(320*c^4) + (8*B*a^2*x^2*(a + b*x + c*x^2)^(1/2))/(105*c^2) + (33*B*b^2*x^2*(a + b*x + c*x^2)^(3/2))/(280*c^3) + (11*B*b^4*x^2*(a + b*x + c*x^2)^(1/2))/(128*c^4) - (39*B*a*b^2*x^2*(a + b*x + c*x^2)^(1/2))/(160*c^3) + (111*B*a*b*x*(a + b*x + c*x^2)^(3/2))/(560*c^3) - (269*B*a^2*b*x*(a + b*x + c*x^2)^(1/2))/(3360*c^3) - (3*B*a*b^3*x*(a + b*x + c*x^2)^(1/2))/(320*c^4)","B"
911,1,781,280,1.955306,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{A\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{B\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{6\,c}-\frac{2\,A\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{7\,A\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}+\frac{B\,a\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}-\frac{3\,B\,b\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}","Not used",1,"(A*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (B*x^3*(a + b*x + c*x^2)^(3/2))/(6*c) - (2*A*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (7*A*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) + (B*a*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) - (3*B*b*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c)","B"
912,1,463,205,1.724305,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{B\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}-\frac{A\,a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{5\,A\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{2\,B\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{A\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{7\,B\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}","Not used",1,"(B*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) - (A*a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (5*A*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (2*B*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (A*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (7*B*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c)","B"
913,1,256,144,1.510665,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{A\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{B\,a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{5\,B\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{A\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{B\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}","Not used",1,"(A*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (B*a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (5*B*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (A*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (B*x*(a + b*x + c*x^2)^(3/2))/(4*c)","B"
914,1,145,113,1.433013,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^(1/2),x)","A\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{B\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{B\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}","Not used",1,"A*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (A*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (B*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + (B*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)","B"
915,1,146,129,1.371834,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x,x)","A\,\sqrt{c\,x^2+b\,x+a}+B\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-A\,\sqrt{a}\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)+\frac{A\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{2\,\sqrt{c}}+\frac{B\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}","Not used",1,"A*(a + b*x + c*x^2)^(1/2) + B*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - A*a^(1/2)*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x) + (A*b*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/(2*c^(1/2)) + (B*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))","B"
916,1,166,121,1.559692,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^2,x)","B\,\sqrt{c\,x^2+b\,x+a}-\frac{A\,\sqrt{c\,x^2+b\,x+a}}{x}-B\,\sqrt{a}\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)+A\,\sqrt{c}\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)+\frac{B\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{2\,\sqrt{c}}-\frac{A\,b\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)}{2\,\sqrt{a}}","Not used",1,"B*(a + b*x + c*x^2)^(1/2) - (A*(a + b*x + c*x^2)^(1/2))/x - B*a^(1/2)*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x) + A*c^(1/2)*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)) + (B*b*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/(2*c^(1/2)) - (A*b*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x))/(2*a^(1/2))","B"
917,0,-1,133,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^3,x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^3, x)","F"
918,0,-1,121,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^4,x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^4} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^4, x)","F"
919,0,-1,172,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^5,x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^5} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^5, x)","F"
920,0,-1,235,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^6,x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^6} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^6, x)","F"
921,0,-1,310,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^7,x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^7} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^7, x)","F"
922,0,-1,455,0.000000,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\int x^4\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int(x^4*(A + B*x)*(a + b*x + c*x^2)^(3/2), x)","F"
923,0,-1,356,0.000000,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\int x^3\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int(x^3*(A + B*x)*(a + b*x + c*x^2)^(3/2), x)","F"
924,0,-1,269,0.000000,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\int x^2\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int(x^2*(A + B*x)*(a + b*x + c*x^2)^(3/2), x)","F"
925,0,-1,198,0.000000,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\int x\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int(x*(A + B*x)*(a + b*x + c*x^2)^(3/2), x)","F"
926,1,305,158,1.613241,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\frac{B\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{5\,c}+\frac{A\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)\,\left(3\,a\,c-\frac{3\,b^2}{4}\right)}{4\,c}-\frac{B\,b\,\left(\frac{3\,a\,\left(\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(\frac{a}{2\,\sqrt{c}}-\frac{b^2}{8\,c^{3/2}}\right)+\frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{4\,c}\right)}{4}+\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4}+\frac{b\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{8\,c}-\frac{3\,b^2\,\left(\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(\frac{a}{2\,\sqrt{c}}-\frac{b^2}{8\,c^{3/2}}\right)+\frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{4\,c}\right)}{16\,c}\right)}{2\,c}+\frac{A\,\left(\frac{b}{2}+c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}","Not used",1,"(B*(a + b*x + c*x^2)^(5/2))/(5*c) + (A*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)))*(3*a*c - (3*b^2)/4))/(4*c) - (B*b*((3*a*(log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a/(2*c^(1/2)) - b^2/(8*c^(3/2))) + ((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(4*c)))/4 + (x*(a + b*x + c*x^2)^(3/2))/4 + (b*(a + b*x + c*x^2)^(3/2))/(8*c) - (3*b^2*(log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a/(2*c^(1/2)) - b^2/(8*c^(3/2))) + ((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(4*c)))/(16*c)))/(2*c) + (A*(b/2 + c*x)*(a + b*x + c*x^2)^(3/2))/(4*c)","B"
927,0,-1,218,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x, x)","F"
928,0,-1,193,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^2, x)","F"
929,0,-1,179,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^3, x)","F"
930,0,-1,206,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^4, x)","F"
931,0,-1,217,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^5, x)","F"
932,0,-1,170,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^6,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^6, x)","F"
933,0,-1,230,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^7,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^7} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^7, x)","F"
934,0,-1,303,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^8,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{x^8} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(3/2))/x^8, x)","F"
935,0,-1,543,0.000000,"\text{Not used}","int(x^4*(A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int x^4\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int(x^4*(A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
936,0,-1,432,0.000000,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int x^3\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int(x^3*(A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
937,0,-1,333,0.000000,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int x^2\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int(x^2*(A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
938,0,-1,252,0.000000,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int x\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int(x*(A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
939,0,-1,203,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
940,0,-1,350,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x, x)","F"
941,0,-1,310,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^2, x)","F"
942,0,-1,273,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^3, x)","F"
943,0,-1,255,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^4, x)","F"
944,0,-1,284,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^5, x)","F"
945,0,-1,346,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^6,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^6} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^6, x)","F"
946,0,-1,332,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^7,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^7} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^7, x)","F"
947,0,-1,219,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^8,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^8} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^8, x)","F"
948,0,-1,288,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^9,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^9} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^9, x)","F"
949,0,-1,375,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^10,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{x^{10}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(5/2))/x^10, x)","F"
950,0,-1,281,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + b*x + c*x^2)^(1/2), x)","F"
951,0,-1,206,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + b*x + c*x^2)^(1/2), x)","F"
952,0,-1,143,0.000000,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^2*(A + B*x))/(a + b*x + c*x^2)^(1/2), x)","F"
953,0,-1,92,0.000000,"\text{Not used}","int((x*(A + B*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x*(A + B*x))/(a + b*x + c*x^2)^(1/2), x)","F"
954,1,80,67,1.559063,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(1/2),x)","\frac{B\,\sqrt{c\,x^2+b\,x+a}}{c}+\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{\sqrt{c}}-\frac{B\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{2\,c^{3/2}}","Not used",1,"(B*(a + b*x + c*x^2)^(1/2))/c + (A*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(1/2) - (B*b*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/(2*c^(3/2))","B"
955,1,66,77,1.470135,"\text{Not used}","int((A + B*x)/(x*(a + b*x + c*x^2)^(1/2)),x)","\frac{B\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{\sqrt{c}}-\frac{A\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)}{\sqrt{a}}","Not used",1,"(B*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(1/2) - (A*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x))/a^(1/2)","B"
956,1,87,72,1.459297,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x + c*x^2)^(1/2)),x)","\frac{A\,b\,\mathrm{atanh}\left(\frac{a+\frac{b\,x}{2}}{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}\right)}{2\,a^{3/2}}-\frac{A\,\sqrt{c\,x^2+b\,x+a}}{a\,x}-\frac{B\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)}{\sqrt{a}}","Not used",1,"(A*b*atanh((a + (b*x)/2)/(a^(1/2)*(a + b*x + c*x^2)^(1/2))))/(2*a^(3/2)) - (A*(a + b*x + c*x^2)^(1/2))/(a*x) - (B*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x))/a^(1/2)","B"
957,0,-1,116,0.000000,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^3\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/(x^3*(a + b*x + c*x^2)^(1/2)), x)","F"
958,0,-1,167,0.000000,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^4\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/(x^4*(a + b*x + c*x^2)^(1/2)), x)","F"
959,0,-1,231,0.000000,"\text{Not used}","int((A + B*x)/(x^5*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^5\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/(x^5*(a + b*x + c*x^2)^(1/2)), x)","F"
960,0,-1,306,0.000000,"\text{Not used}","int((A + B*x)/(x^6*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{x^6\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/(x^6*(a + b*x + c*x^2)^(1/2)), x)","F"
961,0,-1,280,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + b*x + c*x^2)^(3/2), x)","F"
962,0,-1,197,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + b*x + c*x^2)^(3/2), x)","F"
963,0,-1,153,0.000000,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{x^2\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(A + B*x))/(a + b*x + c*x^2)^(3/2), x)","F"
964,1,111,96,1.640654,"\text{Not used}","int((x*(A + B*x))/(a + b*x + c*x^2)^(3/2),x)","\frac{B\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{c^{3/2}}-\frac{A\,\left(4\,a+2\,b\,x\right)}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{B\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(B*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(3/2) - (A*(4*a + 2*b*x))/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) + (B*((a*b)/2 - x*(a*c - b^2/2)))/(c*(a*c - b^2/4)*(a + b*x + c*x^2)^(1/2))","B"
965,1,44,45,1.388985,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(3/2),x)","\frac{2\,A\,b-4\,B\,a+4\,A\,c\,x-2\,B\,b\,x}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(2*A*b - 4*B*a + 4*A*c*x - 2*B*b*x)/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2))","B"
966,0,-1,96,0.000000,"\text{Not used}","int((A + B*x)/(x*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x*(a + b*x + c*x^2)^(3/2)), x)","F"
967,0,-1,158,0.000000,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^2*(a + b*x + c*x^2)^(3/2)), x)","F"
968,0,-1,231,0.000000,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^3*(a + b*x + c*x^2)^(3/2)), x)","F"
969,0,-1,317,0.000000,"\text{Not used}","int((A + B*x)/(x^4*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{x^4\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(x^4*(a + b*x + c*x^2)^(3/2)), x)","F"
970,0,-1,285,0.000000,"\text{Not used}","int((x^4*(A + B*x))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{x^4\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((x^4*(A + B*x))/(a + b*x + c*x^2)^(5/2), x)","F"
971,0,-1,189,0.000000,"\text{Not used}","int((x^3*(A + B*x))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{x^3\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(A + B*x))/(a + b*x + c*x^2)^(5/2), x)","F"
972,1,131,94,1.731773,"\text{Not used}","int((x^2*(A + B*x))/(a + b*x + c*x^2)^(5/2),x)","\frac{2\,\left(-16\,B\,a^3-24\,B\,a^2\,b\,x+8\,A\,a^2\,b-24\,B\,a^2\,c\,x^2-6\,B\,a\,b^2\,x^2+12\,A\,a\,b^2\,x-12\,B\,a\,b\,c\,x^3+12\,A\,a\,b\,c\,x^2+8\,A\,a\,c^2\,x^3+B\,b^3\,x^3+3\,A\,b^3\,x^2+2\,A\,b^2\,c\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(2*(3*A*b^3*x^2 - 16*B*a^3 + B*b^3*x^3 + 8*A*a^2*b + 12*A*a*b^2*x - 24*B*a^2*b*x - 6*B*a*b^2*x^2 + 8*A*a*c^2*x^3 - 24*B*a^2*c*x^2 + 2*A*b^2*c*x^3 + 12*A*a*b*c*x^2 - 12*B*a*b*c*x^3))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
973,1,128,114,1.569567,"\text{Not used}","int((x*(A + B*x))/(a + b*x + c*x^2)^(5/2),x)","\frac{2\,\left(8\,B\,a^2\,b-8\,A\,a^2\,c+12\,B\,a\,b^2\,x-2\,A\,a\,b^2+12\,B\,a\,b\,c\,x^2-12\,A\,a\,b\,c\,x+8\,B\,a\,c^2\,x^3+3\,B\,b^3\,x^2-3\,A\,b^3\,x+2\,B\,b^2\,c\,x^3-12\,A\,b^2\,c\,x^2-8\,A\,b\,c^2\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(2*(3*B*b^3*x^2 - 2*A*a*b^2 - 8*A*a^2*c + 8*B*a^2*b - 3*A*b^3*x + 12*B*a*b^2*x - 12*A*b^2*c*x^2 - 8*A*b*c^2*x^3 + 8*B*a*c^2*x^3 + 2*B*b^2*c*x^3 - 12*A*a*b*c*x + 12*B*a*b*c*x^2))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
974,1,121,90,1.521424,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(8\,B\,a^2\,c+2\,B\,a\,b^2+12\,B\,a\,b\,c\,x-12\,A\,a\,b\,c-24\,A\,a\,c^2\,x+3\,B\,b^3\,x+A\,b^3+12\,B\,b^2\,c\,x^2-6\,A\,b^2\,c\,x+8\,B\,b\,c^2\,x^3-24\,A\,b\,c^2\,x^2-16\,A\,c^3\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(2*(A*b^3 - 16*A*c^3*x^3 + 2*B*a*b^2 + 8*B*a^2*c + 3*B*b^3*x - 24*A*a*c^2*x - 6*A*b^2*c*x - 24*A*b*c^2*x^2 + 12*B*b^2*c*x^2 + 8*B*b*c^2*x^3 - 12*A*a*b*c + 12*B*a*b*c*x))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
975,0,-1,184,0.000000,"\text{Not used}","int((A + B*x)/(x*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{x\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x*(a + b*x + c*x^2)^(5/2)), x)","F"
976,0,-1,288,0.000000,"\text{Not used}","int((A + B*x)/(x^2*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{x^2\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^2*(a + b*x + c*x^2)^(5/2)), x)","F"
977,0,-1,381,0.000000,"\text{Not used}","int((A + B*x)/(x^3*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{x^3\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(x^3*(a + b*x + c*x^2)^(5/2)), x)","F"
978,1,395,135,1.951481,"\text{Not used}","int((d + e*x)/(a + b*x + c*x^2)^(7/2),x)","\frac{x\,\left(\frac{4\,c^2\,d}{5\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{2\,b\,c\,e}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)-\frac{4\,a\,c\,e}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,b\,c\,d}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}-\frac{x\,\left(\frac{2\,c^2\,\left(20\,b\,e-32\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,c\,\left(20\,b\,e-32\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{16\,a\,c^2\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{\frac{b\,c\,\left(256\,c^2\,d-128\,b\,c\,e\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,c^2\,x\,\left(256\,c^2\,d-128\,b\,c\,e\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}-\frac{4\,e}{\left(60\,a\,c-15\,b^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(x*((4*c^2*d)/(5*(4*a*c^2 - b^2*c)) - (2*b*c*e)/(5*(4*a*c^2 - b^2*c))) - (4*a*c*e)/(5*(4*a*c^2 - b^2*c)) + (2*b*c*d)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) - (x*((2*c^2*(20*b*e - 32*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*c*(20*b*e - 32*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (16*a*c^2*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + ((b*c*(256*c^2*d - 128*b*c*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (2*c^2*x*(256*c^2*d - 128*b*c*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) - (4*e)/((60*a*c - 15*b^2)*(a + b*x + c*x^2)^(3/2))","B"
979,1,599,181,2.467973,"\text{Not used}","int((d + e*x)/(a + b*x + c*x^2)^(9/2),x)","\frac{x\,\left(\frac{2\,c^2\,\left(768\,c^2\,d-368\,b\,c\,e\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}-\frac{32\,b\,c^3\,e}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}\right)+\frac{b\,c\,\left(768\,c^2\,d-368\,b\,c\,e\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}-\frac{64\,a\,c^3\,e}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{4\,c^2\,d}{7\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{2\,b\,c\,e}{7\,\left(4\,a\,c^2-b^2\,c\right)}\right)-\frac{4\,a\,c\,e}{7\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,b\,c\,d}{7\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{7/2}}-\frac{x\,\left(\frac{2\,c^2\,\left(28\,b\,e-48\,c\,d\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,c\,\left(28\,b\,e-48\,c\,d\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{16\,a\,c^2\,e}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{\frac{2\,c^2\,x\,\left(2048\,c^3\,d-1024\,b\,c^2\,e\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^3}+\frac{b\,c\,\left(2048\,c^3\,d-1024\,b\,c^2\,e\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^3}}{\sqrt{c\,x^2+b\,x+a}}-\frac{4\,e}{\left(140\,a\,c-35\,b^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{16\,c\,e}{105\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(x*((2*c^2*(768*c^2*d - 368*b*c*e))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) - (32*b*c^3*e)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2)) + (b*c*(768*c^2*d - 368*b*c*e))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) - (64*a*c^3*e)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(3/2) + (x*((4*c^2*d)/(7*(4*a*c^2 - b^2*c)) - (2*b*c*e)/(7*(4*a*c^2 - b^2*c))) - (4*a*c*e)/(7*(4*a*c^2 - b^2*c)) + (2*b*c*d)/(7*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(7/2) - (x*((2*c^2*(28*b*e - 48*c*d))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e)/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*c*(28*b*e - 48*c*d))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (16*a*c^2*e)/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(5/2) + ((2*c^2*x*(2048*c^3*d - 1024*b*c^2*e))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^3) + (b*c*(2048*c^3*d - 1024*b*c^2*e))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^3))/(a + b*x + c*x^2)^(1/2) - (4*e)/((140*a*c - 35*b^2)*(a + b*x + c*x^2)^(5/2)) + (16*c*e)/(105*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
980,1,41,19,1.829399,"\text{Not used}","int(-(x - 1)/(x*(3*x + x^2 + 1)^(1/2)),x)","-\ln\left(\frac{3\,x+2\,\sqrt{x^2+3\,x+1}+2}{x}\right)-\ln\left(x+\sqrt{x^2+3\,x+1}+\frac{3}{2}\right)","Not used",1,"- log((3*x + 2*(3*x + x^2 + 1)^(1/2) + 2)/x) - log(x + (3*x + x^2 + 1)^(1/2) + 3/2)","B"
981,1,41,55,1.263100,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x + c*x^2),x)","x^{11/2}\,\left(\frac{2\,A\,b}{11}+\frac{2\,B\,a}{11}\right)+x^{13/2}\,\left(\frac{2\,A\,c}{13}+\frac{2\,B\,b}{13}\right)+\frac{2\,A\,a\,x^{9/2}}{9}+\frac{2\,B\,c\,x^{15/2}}{15}","Not used",1,"x^(11/2)*((2*A*b)/11 + (2*B*a)/11) + x^(13/2)*((2*A*c)/13 + (2*B*b)/13) + (2*A*a*x^(9/2))/9 + (2*B*c*x^(15/2))/15","B"
982,1,41,55,0.045001,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x + c*x^2),x)","x^{9/2}\,\left(\frac{2\,A\,b}{9}+\frac{2\,B\,a}{9}\right)+x^{11/2}\,\left(\frac{2\,A\,c}{11}+\frac{2\,B\,b}{11}\right)+\frac{2\,A\,a\,x^{7/2}}{7}+\frac{2\,B\,c\,x^{13/2}}{13}","Not used",1,"x^(9/2)*((2*A*b)/9 + (2*B*a)/9) + x^(11/2)*((2*A*c)/11 + (2*B*b)/11) + (2*A*a*x^(7/2))/7 + (2*B*c*x^(13/2))/13","B"
983,1,41,55,0.044276,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x + c*x^2),x)","x^{7/2}\,\left(\frac{2\,A\,b}{7}+\frac{2\,B\,a}{7}\right)+x^{9/2}\,\left(\frac{2\,A\,c}{9}+\frac{2\,B\,b}{9}\right)+\frac{2\,A\,a\,x^{5/2}}{5}+\frac{2\,B\,c\,x^{11/2}}{11}","Not used",1,"x^(7/2)*((2*A*b)/7 + (2*B*a)/7) + x^(9/2)*((2*A*c)/9 + (2*B*b)/9) + (2*A*a*x^(5/2))/5 + (2*B*c*x^(11/2))/11","B"
984,1,41,55,0.044013,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x + c*x^2),x)","x^{5/2}\,\left(\frac{2\,A\,b}{5}+\frac{2\,B\,a}{5}\right)+x^{7/2}\,\left(\frac{2\,A\,c}{7}+\frac{2\,B\,b}{7}\right)+\frac{2\,A\,a\,x^{3/2}}{3}+\frac{2\,B\,c\,x^{9/2}}{9}","Not used",1,"x^(5/2)*((2*A*b)/5 + (2*B*a)/5) + x^(7/2)*((2*A*c)/7 + (2*B*b)/7) + (2*A*a*x^(3/2))/3 + (2*B*c*x^(9/2))/9","B"
985,1,41,53,0.045436,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,A\,b}{3}+\frac{2\,B\,a}{3}\right)+x^{5/2}\,\left(\frac{2\,A\,c}{5}+\frac{2\,B\,b}{5}\right)+2\,A\,a\,\sqrt{x}+\frac{2\,B\,c\,x^{7/2}}{7}","Not used",1,"x^(3/2)*((2*A*b)/3 + (2*B*a)/3) + x^(5/2)*((2*A*c)/5 + (2*B*b)/5) + 2*A*a*x^(1/2) + (2*B*c*x^(7/2))/7","B"
986,1,41,51,0.048698,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^(3/2),x)","\sqrt{x}\,\left(2\,A\,b+2\,B\,a\right)+x^{3/2}\,\left(\frac{2\,A\,c}{3}+\frac{2\,B\,b}{3}\right)-\frac{2\,A\,a}{\sqrt{x}}+\frac{2\,B\,c\,x^{5/2}}{5}","Not used",1,"x^(1/2)*(2*A*b + 2*B*a) + x^(3/2)*((2*A*c)/3 + (2*B*b)/3) - (2*A*a)/x^(1/2) + (2*B*c*x^(5/2))/5","B"
987,1,41,51,0.045051,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^(5/2),x)","-\frac{2\,A\,a+6\,A\,b\,x+6\,B\,a\,x-6\,A\,c\,x^2-6\,B\,b\,x^2-2\,B\,c\,x^3}{3\,x^{3/2}}","Not used",1,"-(2*A*a + 6*A*b*x + 6*B*a*x - 6*A*c*x^2 - 6*B*b*x^2 - 2*B*c*x^3)/(3*x^(3/2))","B"
988,1,42,51,1.295090,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^(7/2),x)","2\,B\,c\,\sqrt{x}-\frac{\left(2\,A\,c+2\,B\,b\right)\,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*B*c*x^(1/2) - ((2*A*a)/5 + x*((2*A*b)/3 + (2*B*a)/3) + x^2*(2*A*c + 2*B*b))/x^(5/2)","B"
989,1,41,53,0.039523,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/x^(9/2),x)","-\frac{2\,B\,c\,x^3+\left(\frac{2\,A\,c}{3}+\frac{2\,B\,b}{3}\right)\,x^2+\left(\frac{2\,A\,b}{5}+\frac{2\,B\,a}{5}\right)\,x+\frac{2\,A\,a}{7}}{x^{7/2}}","Not used",1,"-((2*A*a)/7 + x*((2*A*b)/5 + (2*B*a)/5) + x^2*((2*A*c)/3 + (2*B*b)/3) + 2*B*c*x^3)/x^(7/2)","B"
990,1,93,113,1.284935,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^{11/2}\,\left(\frac{2\,B\,a^2}{11}+\frac{4\,A\,b\,a}{11}\right)+x^{17/2}\,\left(\frac{2\,A\,c^2}{17}+\frac{4\,B\,b\,c}{17}\right)+x^{13/2}\,\left(\frac{2\,A\,b^2}{13}+\frac{4\,B\,a\,b}{13}+\frac{4\,A\,a\,c}{13}\right)+x^{15/2}\,\left(\frac{2\,B\,b^2}{15}+\frac{4\,A\,c\,b}{15}+\frac{4\,B\,a\,c}{15}\right)+\frac{2\,A\,a^2\,x^{9/2}}{9}+\frac{2\,B\,c^2\,x^{19/2}}{19}","Not used",1,"x^(11/2)*((2*B*a^2)/11 + (4*A*a*b)/11) + x^(17/2)*((2*A*c^2)/17 + (4*B*b*c)/17) + x^(13/2)*((2*A*b^2)/13 + (4*A*a*c)/13 + (4*B*a*b)/13) + x^(15/2)*((2*B*b^2)/15 + (4*A*b*c)/15 + (4*B*a*c)/15) + (2*A*a^2*x^(9/2))/9 + (2*B*c^2*x^(19/2))/19","B"
991,1,93,113,0.033790,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^{9/2}\,\left(\frac{2\,B\,a^2}{9}+\frac{4\,A\,b\,a}{9}\right)+x^{15/2}\,\left(\frac{2\,A\,c^2}{15}+\frac{4\,B\,b\,c}{15}\right)+x^{11/2}\,\left(\frac{2\,A\,b^2}{11}+\frac{4\,B\,a\,b}{11}+\frac{4\,A\,a\,c}{11}\right)+x^{13/2}\,\left(\frac{2\,B\,b^2}{13}+\frac{4\,A\,c\,b}{13}+\frac{4\,B\,a\,c}{13}\right)+\frac{2\,A\,a^2\,x^{7/2}}{7}+\frac{2\,B\,c^2\,x^{17/2}}{17}","Not used",1,"x^(9/2)*((2*B*a^2)/9 + (4*A*a*b)/9) + x^(15/2)*((2*A*c^2)/15 + (4*B*b*c)/15) + x^(11/2)*((2*A*b^2)/11 + (4*A*a*c)/11 + (4*B*a*b)/11) + x^(13/2)*((2*B*b^2)/13 + (4*A*b*c)/13 + (4*B*a*c)/13) + (2*A*a^2*x^(7/2))/7 + (2*B*c^2*x^(17/2))/17","B"
992,1,93,113,0.034046,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^{7/2}\,\left(\frac{2\,B\,a^2}{7}+\frac{4\,A\,b\,a}{7}\right)+x^{13/2}\,\left(\frac{2\,A\,c^2}{13}+\frac{4\,B\,b\,c}{13}\right)+x^{9/2}\,\left(\frac{2\,A\,b^2}{9}+\frac{4\,B\,a\,b}{9}+\frac{4\,A\,a\,c}{9}\right)+x^{11/2}\,\left(\frac{2\,B\,b^2}{11}+\frac{4\,A\,c\,b}{11}+\frac{4\,B\,a\,c}{11}\right)+\frac{2\,A\,a^2\,x^{5/2}}{5}+\frac{2\,B\,c^2\,x^{15/2}}{15}","Not used",1,"x^(7/2)*((2*B*a^2)/7 + (4*A*a*b)/7) + x^(13/2)*((2*A*c^2)/13 + (4*B*b*c)/13) + x^(9/2)*((2*A*b^2)/9 + (4*A*a*c)/9 + (4*B*a*b)/9) + x^(11/2)*((2*B*b^2)/11 + (4*A*b*c)/11 + (4*B*a*c)/11) + (2*A*a^2*x^(5/2))/5 + (2*B*c^2*x^(15/2))/15","B"
993,1,93,113,0.038851,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x + c*x^2)^2,x)","x^{5/2}\,\left(\frac{2\,B\,a^2}{5}+\frac{4\,A\,b\,a}{5}\right)+x^{11/2}\,\left(\frac{2\,A\,c^2}{11}+\frac{4\,B\,b\,c}{11}\right)+x^{7/2}\,\left(\frac{2\,A\,b^2}{7}+\frac{4\,B\,a\,b}{7}+\frac{4\,A\,a\,c}{7}\right)+x^{9/2}\,\left(\frac{2\,B\,b^2}{9}+\frac{4\,A\,c\,b}{9}+\frac{4\,B\,a\,c}{9}\right)+\frac{2\,A\,a^2\,x^{3/2}}{3}+\frac{2\,B\,c^2\,x^{13/2}}{13}","Not used",1,"x^(5/2)*((2*B*a^2)/5 + (4*A*a*b)/5) + x^(11/2)*((2*A*c^2)/11 + (4*B*b*c)/11) + x^(7/2)*((2*A*b^2)/7 + (4*A*a*c)/7 + (4*B*a*b)/7) + x^(9/2)*((2*B*b^2)/9 + (4*A*b*c)/9 + (4*B*a*c)/9) + (2*A*a^2*x^(3/2))/3 + (2*B*c^2*x^(13/2))/13","B"
994,1,93,111,0.033957,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^(1/2),x)","x^{3/2}\,\left(\frac{2\,B\,a^2}{3}+\frac{4\,A\,b\,a}{3}\right)+x^{9/2}\,\left(\frac{2\,A\,c^2}{9}+\frac{4\,B\,b\,c}{9}\right)+x^{5/2}\,\left(\frac{2\,A\,b^2}{5}+\frac{4\,B\,a\,b}{5}+\frac{4\,A\,a\,c}{5}\right)+x^{7/2}\,\left(\frac{2\,B\,b^2}{7}+\frac{4\,A\,c\,b}{7}+\frac{4\,B\,a\,c}{7}\right)+2\,A\,a^2\,\sqrt{x}+\frac{2\,B\,c^2\,x^{11/2}}{11}","Not used",1,"x^(3/2)*((2*B*a^2)/3 + (4*A*a*b)/3) + x^(9/2)*((2*A*c^2)/9 + (4*B*b*c)/9) + x^(5/2)*((2*A*b^2)/5 + (4*A*a*c)/5 + (4*B*a*b)/5) + x^(7/2)*((2*B*b^2)/7 + (4*A*b*c)/7 + (4*B*a*c)/7) + 2*A*a^2*x^(1/2) + (2*B*c^2*x^(11/2))/11","B"
995,1,93,109,0.038512,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^(3/2),x)","\sqrt{x}\,\left(2\,B\,a^2+4\,A\,b\,a\right)+x^{7/2}\,\left(\frac{2\,A\,c^2}{7}+\frac{4\,B\,b\,c}{7}\right)+x^{3/2}\,\left(\frac{2\,A\,b^2}{3}+\frac{4\,B\,a\,b}{3}+\frac{4\,A\,a\,c}{3}\right)+x^{5/2}\,\left(\frac{2\,B\,b^2}{5}+\frac{4\,A\,c\,b}{5}+\frac{4\,B\,a\,c}{5}\right)-\frac{2\,A\,a^2}{\sqrt{x}}+\frac{2\,B\,c^2\,x^{9/2}}{9}","Not used",1,"x^(1/2)*(2*B*a^2 + 4*A*a*b) + x^(7/2)*((2*A*c^2)/7 + (4*B*b*c)/7) + x^(3/2)*((2*A*b^2)/3 + (4*A*a*c)/3 + (4*B*a*b)/3) + x^(5/2)*((2*B*b^2)/5 + (4*A*b*c)/5 + (4*B*a*c)/5) - (2*A*a^2)/x^(1/2) + (2*B*c^2*x^(9/2))/9","B"
996,1,94,109,0.039420,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^(5/2),x)","x^{5/2}\,\left(\frac{2\,A\,c^2}{5}+\frac{4\,B\,b\,c}{5}\right)+\sqrt{x}\,\left(2\,A\,b^2+4\,B\,a\,b+4\,A\,a\,c\right)+x^{3/2}\,\left(\frac{2\,B\,b^2}{3}+\frac{4\,A\,c\,b}{3}+\frac{4\,B\,a\,c}{3}\right)-\frac{\frac{2\,A\,a^2}{3}+x\,\left(2\,B\,a^2+4\,A\,b\,a\right)}{x^{3/2}}+\frac{2\,B\,c^2\,x^{7/2}}{7}","Not used",1,"x^(5/2)*((2*A*c^2)/5 + (4*B*b*c)/5) + x^(1/2)*(2*A*b^2 + 4*A*a*c + 4*B*a*b) + x^(3/2)*((2*B*b^2)/3 + (4*A*b*c)/3 + (4*B*a*c)/3) - ((2*A*a^2)/3 + x*(2*B*a^2 + 4*A*a*b))/x^(3/2) + (2*B*c^2*x^(7/2))/7","B"
997,1,94,109,0.060140,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^(7/2),x)","x^{3/2}\,\left(\frac{2\,A\,c^2}{3}+\frac{4\,B\,b\,c}{3}\right)-\frac{\frac{2\,A\,a^2}{5}+x^2\,\left(2\,A\,b^2+4\,B\,a\,b+4\,A\,a\,c\right)+x\,\left(\frac{2\,B\,a^2}{3}+\frac{4\,A\,b\,a}{3}\right)}{x^{5/2}}+\sqrt{x}\,\left(2\,B\,b^2+4\,A\,c\,b+4\,B\,a\,c\right)+\frac{2\,B\,c^2\,x^{5/2}}{5}","Not used",1,"x^(3/2)*((2*A*c^2)/3 + (4*B*b*c)/3) - ((2*A*a^2)/5 + x^2*(2*A*b^2 + 4*A*a*c + 4*B*a*b) + x*((2*B*a^2)/3 + (4*A*a*b)/3))/x^(5/2) + x^(1/2)*(2*B*b^2 + 4*A*b*c + 4*B*a*c) + (2*B*c^2*x^(5/2))/5","B"
998,1,94,109,1.281640,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/x^(9/2),x)","\sqrt{x}\,\left(2\,A\,c^2+4\,B\,b\,c\right)-\frac{\frac{2\,A\,a^2}{7}+x^2\,\left(\frac{2\,A\,b^2}{3}+\frac{4\,B\,a\,b}{3}+\frac{4\,A\,a\,c}{3}\right)+x^3\,\left(2\,B\,b^2+4\,A\,c\,b+4\,B\,a\,c\right)+x\,\left(\frac{2\,B\,a^2}{5}+\frac{4\,A\,b\,a}{5}\right)}{x^{7/2}}+\frac{2\,B\,c^2\,x^{3/2}}{3}","Not used",1,"x^(1/2)*(2*A*c^2 + 4*B*b*c) - ((2*A*a^2)/7 + x^2*((2*A*b^2)/3 + (4*A*a*c)/3 + (4*B*a*b)/3) + x^3*(2*B*b^2 + 4*A*b*c + 4*B*a*c) + x*((2*B*a^2)/5 + (4*A*a*b)/5))/x^(7/2) + (2*B*c^2*x^(3/2))/3","B"
999,1,169,182,0.070459,"\text{Not used}","int(x^(7/2)*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^{15/2}\,\left(\frac{2\,B\,c\,a^2}{5}+\frac{2\,B\,a\,b^2}{5}+\frac{4\,A\,c\,a\,b}{5}+\frac{2\,A\,b^3}{15}\right)+x^{17/2}\,\left(\frac{2\,B\,b^3}{17}+\frac{6\,A\,b^2\,c}{17}+\frac{12\,B\,a\,b\,c}{17}+\frac{6\,A\,a\,c^2}{17}\right)+x^{11/2}\,\left(\frac{2\,B\,a^3}{11}+\frac{6\,A\,b\,a^2}{11}\right)+x^{21/2}\,\left(\frac{2\,A\,c^3}{21}+\frac{2\,B\,b\,c^2}{7}\right)+x^{13/2}\,\left(\frac{6\,B\,a^2\,b}{13}+\frac{6\,A\,c\,a^2}{13}+\frac{6\,A\,a\,b^2}{13}\right)+x^{19/2}\,\left(\frac{6\,B\,b^2\,c}{19}+\frac{6\,A\,b\,c^2}{19}+\frac{6\,B\,a\,c^2}{19}\right)+\frac{2\,A\,a^3\,x^{9/2}}{9}+\frac{2\,B\,c^3\,x^{23/2}}{23}","Not used",1,"x^(15/2)*((2*A*b^3)/15 + (2*B*a*b^2)/5 + (2*B*a^2*c)/5 + (4*A*a*b*c)/5) + x^(17/2)*((2*B*b^3)/17 + (6*A*a*c^2)/17 + (6*A*b^2*c)/17 + (12*B*a*b*c)/17) + x^(11/2)*((2*B*a^3)/11 + (6*A*a^2*b)/11) + x^(21/2)*((2*A*c^3)/21 + (2*B*b*c^2)/7) + x^(13/2)*((6*A*a*b^2)/13 + (6*A*a^2*c)/13 + (6*B*a^2*b)/13) + x^(19/2)*((6*A*b*c^2)/19 + (6*B*a*c^2)/19 + (6*B*b^2*c)/19) + (2*A*a^3*x^(9/2))/9 + (2*B*c^3*x^(23/2))/23","B"
1000,1,169,182,1.267008,"\text{Not used}","int(x^(5/2)*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^{13/2}\,\left(\frac{6\,B\,c\,a^2}{13}+\frac{6\,B\,a\,b^2}{13}+\frac{12\,A\,c\,a\,b}{13}+\frac{2\,A\,b^3}{13}\right)+x^{15/2}\,\left(\frac{2\,B\,b^3}{15}+\frac{2\,A\,b^2\,c}{5}+\frac{4\,B\,a\,b\,c}{5}+\frac{2\,A\,a\,c^2}{5}\right)+x^{9/2}\,\left(\frac{2\,B\,a^3}{9}+\frac{2\,A\,b\,a^2}{3}\right)+x^{19/2}\,\left(\frac{2\,A\,c^3}{19}+\frac{6\,B\,b\,c^2}{19}\right)+x^{11/2}\,\left(\frac{6\,B\,a^2\,b}{11}+\frac{6\,A\,c\,a^2}{11}+\frac{6\,A\,a\,b^2}{11}\right)+x^{17/2}\,\left(\frac{6\,B\,b^2\,c}{17}+\frac{6\,A\,b\,c^2}{17}+\frac{6\,B\,a\,c^2}{17}\right)+\frac{2\,A\,a^3\,x^{7/2}}{7}+\frac{2\,B\,c^3\,x^{21/2}}{21}","Not used",1,"x^(13/2)*((2*A*b^3)/13 + (6*B*a*b^2)/13 + (6*B*a^2*c)/13 + (12*A*a*b*c)/13) + x^(15/2)*((2*B*b^3)/15 + (2*A*a*c^2)/5 + (2*A*b^2*c)/5 + (4*B*a*b*c)/5) + x^(9/2)*((2*B*a^3)/9 + (2*A*a^2*b)/3) + x^(19/2)*((2*A*c^3)/19 + (6*B*b*c^2)/19) + x^(11/2)*((6*A*a*b^2)/11 + (6*A*a^2*c)/11 + (6*B*a^2*b)/11) + x^(17/2)*((6*A*b*c^2)/17 + (6*B*a*c^2)/17 + (6*B*b^2*c)/17) + (2*A*a^3*x^(7/2))/7 + (2*B*c^3*x^(21/2))/21","B"
1001,1,169,182,0.052005,"\text{Not used}","int(x^(3/2)*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^{11/2}\,\left(\frac{6\,B\,c\,a^2}{11}+\frac{6\,B\,a\,b^2}{11}+\frac{12\,A\,c\,a\,b}{11}+\frac{2\,A\,b^3}{11}\right)+x^{13/2}\,\left(\frac{2\,B\,b^3}{13}+\frac{6\,A\,b^2\,c}{13}+\frac{12\,B\,a\,b\,c}{13}+\frac{6\,A\,a\,c^2}{13}\right)+x^{7/2}\,\left(\frac{2\,B\,a^3}{7}+\frac{6\,A\,b\,a^2}{7}\right)+x^{17/2}\,\left(\frac{2\,A\,c^3}{17}+\frac{6\,B\,b\,c^2}{17}\right)+x^{9/2}\,\left(\frac{2\,B\,a^2\,b}{3}+\frac{2\,A\,c\,a^2}{3}+\frac{2\,A\,a\,b^2}{3}\right)+x^{15/2}\,\left(\frac{2\,B\,b^2\,c}{5}+\frac{2\,A\,b\,c^2}{5}+\frac{2\,B\,a\,c^2}{5}\right)+\frac{2\,A\,a^3\,x^{5/2}}{5}+\frac{2\,B\,c^3\,x^{19/2}}{19}","Not used",1,"x^(11/2)*((2*A*b^3)/11 + (6*B*a*b^2)/11 + (6*B*a^2*c)/11 + (12*A*a*b*c)/11) + x^(13/2)*((2*B*b^3)/13 + (6*A*a*c^2)/13 + (6*A*b^2*c)/13 + (12*B*a*b*c)/13) + x^(7/2)*((2*B*a^3)/7 + (6*A*a^2*b)/7) + x^(17/2)*((2*A*c^3)/17 + (6*B*b*c^2)/17) + x^(9/2)*((2*A*a*b^2)/3 + (2*A*a^2*c)/3 + (2*B*a^2*b)/3) + x^(15/2)*((2*A*b*c^2)/5 + (2*B*a*c^2)/5 + (2*B*b^2*c)/5) + (2*A*a^3*x^(5/2))/5 + (2*B*c^3*x^(19/2))/19","B"
1002,1,169,182,0.049184,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x + c*x^2)^3,x)","x^{9/2}\,\left(\frac{2\,B\,c\,a^2}{3}+\frac{2\,B\,a\,b^2}{3}+\frac{4\,A\,c\,a\,b}{3}+\frac{2\,A\,b^3}{9}\right)+x^{11/2}\,\left(\frac{2\,B\,b^3}{11}+\frac{6\,A\,b^2\,c}{11}+\frac{12\,B\,a\,b\,c}{11}+\frac{6\,A\,a\,c^2}{11}\right)+x^{5/2}\,\left(\frac{2\,B\,a^3}{5}+\frac{6\,A\,b\,a^2}{5}\right)+x^{15/2}\,\left(\frac{2\,A\,c^3}{15}+\frac{2\,B\,b\,c^2}{5}\right)+x^{7/2}\,\left(\frac{6\,B\,a^2\,b}{7}+\frac{6\,A\,c\,a^2}{7}+\frac{6\,A\,a\,b^2}{7}\right)+x^{13/2}\,\left(\frac{6\,B\,b^2\,c}{13}+\frac{6\,A\,b\,c^2}{13}+\frac{6\,B\,a\,c^2}{13}\right)+\frac{2\,A\,a^3\,x^{3/2}}{3}+\frac{2\,B\,c^3\,x^{17/2}}{17}","Not used",1,"x^(9/2)*((2*A*b^3)/9 + (2*B*a*b^2)/3 + (2*B*a^2*c)/3 + (4*A*a*b*c)/3) + x^(11/2)*((2*B*b^3)/11 + (6*A*a*c^2)/11 + (6*A*b^2*c)/11 + (12*B*a*b*c)/11) + x^(5/2)*((2*B*a^3)/5 + (6*A*a^2*b)/5) + x^(15/2)*((2*A*c^3)/15 + (2*B*b*c^2)/5) + x^(7/2)*((6*A*a*b^2)/7 + (6*A*a^2*c)/7 + (6*B*a^2*b)/7) + x^(13/2)*((6*A*b*c^2)/13 + (6*B*a*c^2)/13 + (6*B*b^2*c)/13) + (2*A*a^3*x^(3/2))/3 + (2*B*c^3*x^(17/2))/17","B"
1003,1,169,180,0.050123,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(1/2),x)","x^{7/2}\,\left(\frac{6\,B\,c\,a^2}{7}+\frac{6\,B\,a\,b^2}{7}+\frac{12\,A\,c\,a\,b}{7}+\frac{2\,A\,b^3}{7}\right)+x^{9/2}\,\left(\frac{2\,B\,b^3}{9}+\frac{2\,A\,b^2\,c}{3}+\frac{4\,B\,a\,b\,c}{3}+\frac{2\,A\,a\,c^2}{3}\right)+x^{3/2}\,\left(\frac{2\,B\,a^3}{3}+2\,A\,b\,a^2\right)+x^{13/2}\,\left(\frac{2\,A\,c^3}{13}+\frac{6\,B\,b\,c^2}{13}\right)+x^{5/2}\,\left(\frac{6\,B\,a^2\,b}{5}+\frac{6\,A\,c\,a^2}{5}+\frac{6\,A\,a\,b^2}{5}\right)+x^{11/2}\,\left(\frac{6\,B\,b^2\,c}{11}+\frac{6\,A\,b\,c^2}{11}+\frac{6\,B\,a\,c^2}{11}\right)+2\,A\,a^3\,\sqrt{x}+\frac{2\,B\,c^3\,x^{15/2}}{15}","Not used",1,"x^(7/2)*((2*A*b^3)/7 + (6*B*a*b^2)/7 + (6*B*a^2*c)/7 + (12*A*a*b*c)/7) + x^(9/2)*((2*B*b^3)/9 + (2*A*a*c^2)/3 + (2*A*b^2*c)/3 + (4*B*a*b*c)/3) + x^(3/2)*((2*B*a^3)/3 + 2*A*a^2*b) + x^(13/2)*((2*A*c^3)/13 + (6*B*b*c^2)/13) + x^(5/2)*((6*A*a*b^2)/5 + (6*A*a^2*c)/5 + (6*B*a^2*b)/5) + x^(11/2)*((6*A*b*c^2)/11 + (6*B*a*c^2)/11 + (6*B*b^2*c)/11) + 2*A*a^3*x^(1/2) + (2*B*c^3*x^(15/2))/15","B"
1004,1,169,176,0.055350,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(3/2),x)","x^{5/2}\,\left(\frac{6\,B\,c\,a^2}{5}+\frac{6\,B\,a\,b^2}{5}+\frac{12\,A\,c\,a\,b}{5}+\frac{2\,A\,b^3}{5}\right)+x^{7/2}\,\left(\frac{2\,B\,b^3}{7}+\frac{6\,A\,b^2\,c}{7}+\frac{12\,B\,a\,b\,c}{7}+\frac{6\,A\,a\,c^2}{7}\right)+\sqrt{x}\,\left(2\,B\,a^3+6\,A\,b\,a^2\right)+x^{11/2}\,\left(\frac{2\,A\,c^3}{11}+\frac{6\,B\,b\,c^2}{11}\right)+x^{3/2}\,\left(2\,B\,a^2\,b+2\,A\,c\,a^2+2\,A\,a\,b^2\right)+x^{9/2}\,\left(\frac{2\,B\,b^2\,c}{3}+\frac{2\,A\,b\,c^2}{3}+\frac{2\,B\,a\,c^2}{3}\right)-\frac{2\,A\,a^3}{\sqrt{x}}+\frac{2\,B\,c^3\,x^{13/2}}{13}","Not used",1,"x^(5/2)*((2*A*b^3)/5 + (6*B*a*b^2)/5 + (6*B*a^2*c)/5 + (12*A*a*b*c)/5) + x^(7/2)*((2*B*b^3)/7 + (6*A*a*c^2)/7 + (6*A*b^2*c)/7 + (12*B*a*b*c)/7) + x^(1/2)*(2*B*a^3 + 6*A*a^2*b) + x^(11/2)*((2*A*c^3)/11 + (6*B*b*c^2)/11) + x^(3/2)*(2*A*a*b^2 + 2*A*a^2*c + 2*B*a^2*b) + x^(9/2)*((2*A*b*c^2)/3 + (2*B*a*c^2)/3 + (2*B*b^2*c)/3) - (2*A*a^3)/x^(1/2) + (2*B*c^3*x^(13/2))/13","B"
1005,1,170,178,0.050986,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(5/2),x)","x^{3/2}\,\left(2\,B\,c\,a^2+2\,B\,a\,b^2+4\,A\,c\,a\,b+\frac{2\,A\,b^3}{3}\right)+x^{5/2}\,\left(\frac{2\,B\,b^3}{5}+\frac{6\,A\,b^2\,c}{5}+\frac{12\,B\,a\,b\,c}{5}+\frac{6\,A\,a\,c^2}{5}\right)-\frac{x\,\left(2\,B\,a^3+6\,A\,b\,a^2\right)+\frac{2\,A\,a^3}{3}}{x^{3/2}}+x^{9/2}\,\left(\frac{2\,A\,c^3}{9}+\frac{2\,B\,b\,c^2}{3}\right)+\sqrt{x}\,\left(6\,B\,a^2\,b+6\,A\,c\,a^2+6\,A\,a\,b^2\right)+x^{7/2}\,\left(\frac{6\,B\,b^2\,c}{7}+\frac{6\,A\,b\,c^2}{7}+\frac{6\,B\,a\,c^2}{7}\right)+\frac{2\,B\,c^3\,x^{11/2}}{11}","Not used",1,"x^(3/2)*((2*A*b^3)/3 + 2*B*a*b^2 + 2*B*a^2*c + 4*A*a*b*c) + x^(5/2)*((2*B*b^3)/5 + (6*A*a*c^2)/5 + (6*A*b^2*c)/5 + (12*B*a*b*c)/5) - (x*(2*B*a^3 + 6*A*a^2*b) + (2*A*a^3)/3)/x^(3/2) + x^(9/2)*((2*A*c^3)/9 + (2*B*b*c^2)/3) + x^(1/2)*(6*A*a*b^2 + 6*A*a^2*c + 6*B*a^2*b) + x^(7/2)*((6*A*b*c^2)/7 + (6*B*a*c^2)/7 + (6*B*b^2*c)/7) + (2*B*c^3*x^(11/2))/11","B"
1006,1,170,178,0.053350,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(7/2),x)","\sqrt{x}\,\left(6\,B\,c\,a^2+6\,B\,a\,b^2+12\,A\,c\,a\,b+2\,A\,b^3\right)-\frac{x\,\left(\frac{2\,B\,a^3}{3}+2\,A\,b\,a^2\right)+\frac{2\,A\,a^3}{5}+x^2\,\left(6\,B\,a^2\,b+6\,A\,c\,a^2+6\,A\,a\,b^2\right)}{x^{5/2}}+x^{3/2}\,\left(\frac{2\,B\,b^3}{3}+2\,A\,b^2\,c+4\,B\,a\,b\,c+2\,A\,a\,c^2\right)+x^{7/2}\,\left(\frac{2\,A\,c^3}{7}+\frac{6\,B\,b\,c^2}{7}\right)+x^{5/2}\,\left(\frac{6\,B\,b^2\,c}{5}+\frac{6\,A\,b\,c^2}{5}+\frac{6\,B\,a\,c^2}{5}\right)+\frac{2\,B\,c^3\,x^{9/2}}{9}","Not used",1,"x^(1/2)*(2*A*b^3 + 6*B*a*b^2 + 6*B*a^2*c + 12*A*a*b*c) - (x*((2*B*a^3)/3 + 2*A*a^2*b) + (2*A*a^3)/5 + x^2*(6*A*a*b^2 + 6*A*a^2*c + 6*B*a^2*b))/x^(5/2) + x^(3/2)*((2*B*b^3)/3 + 2*A*a*c^2 + 2*A*b^2*c + 4*B*a*b*c) + x^(7/2)*((2*A*c^3)/7 + (6*B*b*c^2)/7) + x^(5/2)*((6*A*b*c^2)/5 + (6*B*a*c^2)/5 + (6*B*b^2*c)/5) + (2*B*c^3*x^(9/2))/9","B"
1007,1,170,174,0.057409,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(9/2),x)","\sqrt{x}\,\left(2\,B\,b^3+6\,A\,b^2\,c+12\,B\,a\,b\,c+6\,A\,a\,c^2\right)-\frac{x^3\,\left(6\,B\,c\,a^2+6\,B\,a\,b^2+12\,A\,c\,a\,b+2\,A\,b^3\right)+x\,\left(\frac{2\,B\,a^3}{5}+\frac{6\,A\,b\,a^2}{5}\right)+\frac{2\,A\,a^3}{7}+x^2\,\left(2\,B\,a^2\,b+2\,A\,c\,a^2+2\,A\,a\,b^2\right)}{x^{7/2}}+x^{5/2}\,\left(\frac{2\,A\,c^3}{5}+\frac{6\,B\,b\,c^2}{5}\right)+x^{3/2}\,\left(2\,B\,b^2\,c+2\,A\,b\,c^2+2\,B\,a\,c^2\right)+\frac{2\,B\,c^3\,x^{7/2}}{7}","Not used",1,"x^(1/2)*(2*B*b^3 + 6*A*a*c^2 + 6*A*b^2*c + 12*B*a*b*c) - (x^3*(2*A*b^3 + 6*B*a*b^2 + 6*B*a^2*c + 12*A*a*b*c) + x*((2*B*a^3)/5 + (6*A*a^2*b)/5) + (2*A*a^3)/7 + x^2*(2*A*a*b^2 + 2*A*a^2*c + 2*B*a^2*b))/x^(7/2) + x^(5/2)*((2*A*c^3)/5 + (6*B*b*c^2)/5) + x^(3/2)*(2*A*b*c^2 + 2*B*a*c^2 + 2*B*b^2*c) + (2*B*c^3*x^(7/2))/7","B"
1008,1,170,178,0.078551,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/x^(11/2),x)","x^{3/2}\,\left(\frac{2\,A\,c^3}{3}+2\,B\,b\,c^2\right)-\frac{x^3\,\left(2\,B\,c\,a^2+2\,B\,a\,b^2+4\,A\,c\,a\,b+\frac{2\,A\,b^3}{3}\right)+x^4\,\left(2\,B\,b^3+6\,A\,b^2\,c+12\,B\,a\,b\,c+6\,A\,a\,c^2\right)+x\,\left(\frac{2\,B\,a^3}{7}+\frac{6\,A\,b\,a^2}{7}\right)+\frac{2\,A\,a^3}{9}+x^2\,\left(\frac{6\,B\,a^2\,b}{5}+\frac{6\,A\,c\,a^2}{5}+\frac{6\,A\,a\,b^2}{5}\right)}{x^{9/2}}+\sqrt{x}\,\left(6\,B\,b^2\,c+6\,A\,b\,c^2+6\,B\,a\,c^2\right)+\frac{2\,B\,c^3\,x^{5/2}}{5}","Not used",1,"x^(3/2)*((2*A*c^3)/3 + 2*B*b*c^2) - (x^3*((2*A*b^3)/3 + 2*B*a*b^2 + 2*B*a^2*c + 4*A*a*b*c) + x^4*(2*B*b^3 + 6*A*a*c^2 + 6*A*b^2*c + 12*B*a*b*c) + x*((2*B*a^3)/7 + (6*A*a^2*b)/7) + (2*A*a^3)/9 + x^2*((6*A*a*b^2)/5 + (6*A*a^2*c)/5 + (6*B*a^2*b)/5))/x^(9/2) + x^(1/2)*(6*A*b*c^2 + 6*B*a*c^2 + 6*B*b^2*c) + (2*B*c^3*x^(5/2))/5","B"
1009,1,14120,347,3.188269,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x + c*x^2),x)","x^{3/2}\,\left(\frac{2\,A}{3\,c}-\frac{2\,B\,b}{3\,c^2}\right)-\sqrt{x}\,\left(\frac{b\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{c}+\frac{2\,B\,a}{c^2}\right)+\frac{2\,B\,x^{5/2}}{5\,c}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}-\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}+\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}-\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{16\,\left(A^3\,a^4\,c^3-A^3\,a^3\,b^2\,c^2-3\,A^2\,B\,a^4\,b\,c^2+2\,A^2\,B\,a^3\,b^3\,c+A\,B^2\,a^5\,c^2+A\,B^2\,a^4\,b^2\,c-A\,B^2\,a^3\,b^4-2\,B^3\,a^5\,b\,c+B^3\,a^4\,b^3\right)}{c^5}+\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}+\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2+B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4+A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3+A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4+6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4-5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2-2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}-\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}+\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}-\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}-\frac{16\,\left(A^3\,a^4\,c^3-A^3\,a^3\,b^2\,c^2-3\,A^2\,B\,a^4\,b\,c^2+2\,A^2\,B\,a^3\,b^3\,c+A\,B^2\,a^5\,c^2+A\,B^2\,a^4\,b^2\,c-A\,B^2\,a^3\,b^4-2\,B^3\,a^5\,b\,c+B^3\,a^4\,b^3\right)}{c^5}+\left(\left(\frac{8\,\left(4\,B\,a^3\,c^6-5\,B\,a^2\,b^2\,c^5+4\,A\,a^2\,b\,c^6+B\,a\,b^4\,c^4-A\,a\,b^3\,c^5\right)}{c^5}+\frac{8\,\sqrt{x}\,\left(b^3\,c^7-4\,a\,b\,c^8\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a^3\,c^5+9\,A^2\,a^2\,b^2\,c^4-6\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+14\,A\,B\,a^3\,b\,c^4-28\,A\,B\,a^2\,b^3\,c^3+14\,A\,B\,a\,b^5\,c^2-2\,A\,B\,b^7\,c+2\,B^2\,a^4\,c^4-16\,B^2\,a^3\,b^2\,c^3+20\,B^2\,a^2\,b^4\,c^2-8\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{c^5}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}}\right)\,\sqrt{-\frac{B^2\,b^9+A^2\,b^7\,c^2-B^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^8\,c+25\,A^2\,a^2\,b^3\,c^4-A^2\,a^2\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^2\,b^5\,c^2-63\,B^2\,a^3\,b^3\,c^3-A^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^4\,c^5-11\,B^2\,a\,b^7\,c-9\,A^2\,a\,b^5\,c^3-20\,A^2\,a^3\,b\,c^5+28\,B^2\,a^4\,b\,c^4-6\,B^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^2\,b^4\,c^3+76\,A\,B\,a^3\,b^2\,c^4+5\,B^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,A^2\,a\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a\,b^6\,c^2+2\,A\,B\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^2\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^9-8\,a\,b^2\,c^8+b^4\,c^7\right)}}\,2{}\mathrm{i}","Not used",1,"x^(3/2)*((2*A)/(3*c) - (2*B*b)/(3*c^2)) - x^(1/2)*((b*((2*A)/c - (2*B*b)/c^2))/c + (2*B*a)/c^2) + atan(((((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 - (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*1i - (((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 + (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) + (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*1i)/((((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 - (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (16*(A^3*a^4*c^3 + B^3*a^4*b^3 - A^3*a^3*b^2*c^2 - 2*B^3*a^5*b*c - A*B^2*a^3*b^4 + A*B^2*a^5*c^2 + A*B^2*a^4*b^2*c + 2*A^2*B*a^3*b^3*c - 3*A^2*B*a^4*b*c^2))/c^5 + (((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 + (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) + (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)))*(-(B^2*b^9 + A^2*b^7*c^2 + B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 + A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 + A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 + 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 - 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 - 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*2i + atan(((((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 - (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*1i - (((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 + (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) + (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*1i)/((((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 - (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) - (16*(A^3*a^4*c^3 + B^3*a^4*b^3 - A^3*a^3*b^2*c^2 - 2*B^3*a^5*b*c - A*B^2*a^3*b^4 + A*B^2*a^5*c^2 + A*B^2*a^4*b^2*c + 2*A^2*B*a^3*b^3*c - 3*A^2*B*a^4*b*c^2))/c^5 + (((8*(4*B*a^3*c^6 - A*a*b^3*c^5 + 4*A*a^2*b*c^6 + B*a*b^4*c^4 - 5*B*a^2*b^2*c^5))/c^5 + (8*x^(1/2)*(b^3*c^7 - 4*a*b*c^8)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2) + (8*x^(1/2)*(B^2*b^8 - 2*A^2*a^3*c^5 + A^2*b^6*c^2 + 2*B^2*a^4*c^4 - 2*A*B*b^7*c + 9*A^2*a^2*b^2*c^4 + 20*B^2*a^2*b^4*c^2 - 16*B^2*a^3*b^2*c^3 - 8*B^2*a*b^6*c - 6*A^2*a*b^4*c^3 - 28*A*B*a^2*b^3*c^3 + 14*A*B*a*b^5*c^2 + 14*A*B*a^3*b*c^4))/c^5)*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)))*(-(B^2*b^9 + A^2*b^7*c^2 - B^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^8*c + 25*A^2*a^2*b^3*c^4 - A^2*a^2*c^4*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^2*b^5*c^2 - 63*B^2*a^3*b^3*c^3 - A^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^4*c^5 - 11*B^2*a*b^7*c - 9*A^2*a*b^5*c^3 - 20*A^2*a^3*b*c^5 + 28*B^2*a^4*b*c^4 - 6*B^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^2*b^4*c^3 + 76*A*B*a^3*b^2*c^4 + 5*B^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*A^2*a*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a*b^6*c^2 + 2*A*B*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^2*b*c^3*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^9 + b^4*c^7 - 8*a*b^2*c^8)))^(1/2)*2i + (2*B*x^(5/2))/(5*c)","B"
1010,1,10204,275,2.640607,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x + c*x^2),x)","\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)+\frac{2\,B\,x^{3/2}}{3\,c}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}-\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}+\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}-\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}+\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{16\,\left(A^3\,a^2\,b\,c^2+A^2\,B\,a^3\,c^2-2\,A^2\,B\,a^2\,b^2\,c+A\,B^2\,a^2\,b^3+B^3\,a^4\,c-B^3\,a^3\,b^2\right)}{c^3}}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2+B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4-A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3-3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2-2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}-\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}+\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}-\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\left(\left(\frac{8\,\left(-4\,B\,a^2\,b\,c^4+4\,A\,a^2\,c^5+B\,a\,b^3\,c^3-A\,a\,b^2\,c^4\right)}{c^3}+\frac{8\,\sqrt{x}\,\left(b^3\,c^5-4\,a\,b\,c^6\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{8\,\sqrt{x}\,\left(2\,A^2\,a^2\,c^4-4\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-10\,A\,B\,a^2\,b\,c^3+10\,A\,B\,a\,b^3\,c^2-2\,A\,B\,b^5\,c-2\,B^2\,a^3\,c^3+9\,B^2\,a^2\,b^2\,c^2-6\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{c^3}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{16\,\left(A^3\,a^2\,b\,c^2+A^2\,B\,a^3\,c^2-2\,A^2\,B\,a^2\,b^2\,c+A\,B^2\,a^2\,b^3+B^3\,a^4\,c-B^3\,a^3\,b^2\right)}{c^3}}\right)\,\sqrt{-\frac{B^2\,b^7+A^2\,b^5\,c^2-B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^6\,c+25\,B^2\,a^2\,b^3\,c^2-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^3\,c^4-9\,B^2\,a\,b^5\,c-7\,A^2\,a\,b^3\,c^3+12\,A^2\,a^2\,b\,c^4+A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,B^2\,a^3\,b\,c^3-36\,A\,B\,a^2\,b^2\,c^3+3\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a\,b^4\,c^2+2\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,2{}\mathrm{i}","Not used",1,"x^(1/2)*((2*A)/c - (2*B*b)/c^2) - atan(((((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 - (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i - (((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 + (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i)/((((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 - (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 + (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (16*(B^3*a^4*c - B^3*a^3*b^2 + A*B^2*a^2*b^3 + A^2*B*a^3*c^2 + A^3*a^2*b*c^2 - 2*A^2*B*a^2*b^2*c))/c^3))*(-(B^2*b^7 + A^2*b^5*c^2 - B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 - A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 + A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 + 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 + 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*2i - atan(((((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 - (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i - (((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 + (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i)/((((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 - (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (((8*(4*A*a^2*c^5 - A*a*b^2*c^4 + B*a*b^3*c^3 - 4*B*a^2*b*c^4))/c^3 + (8*x^(1/2)*(b^3*c^5 - 4*a*b*c^6)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (8*x^(1/2)*(B^2*b^6 + 2*A^2*a^2*c^4 + A^2*b^4*c^2 - 2*B^2*a^3*c^3 - 2*A*B*b^5*c + 9*B^2*a^2*b^2*c^2 - 6*B^2*a*b^4*c - 4*A^2*a*b^2*c^3 + 10*A*B*a*b^3*c^2 - 10*A*B*a^2*b*c^3))/c^3)*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (16*(B^3*a^4*c - B^3*a^3*b^2 + A*B^2*a^2*b^3 + A^2*B*a^3*c^2 + A^3*a^2*b*c^2 - 2*A^2*B*a^2*b^2*c))/c^3))*(-(B^2*b^7 + A^2*b^5*c^2 + B^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^6*c + 25*B^2*a^2*b^3*c^2 + A^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^3*c^4 - 9*B^2*a*b^5*c - 7*A^2*a*b^3*c^3 + 12*A^2*a^2*b*c^4 - A^2*a*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*B^2*a^3*b*c^3 - 36*A*B*a^2*b^2*c^3 - 3*B^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a*b^4*c^2 - 2*A*B*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 4*A*B*a*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*2i + (2*B*x^(3/2))/(3*c)","B"
1011,1,6401,221,2.420295,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x + c*x^2),x)","\frac{2\,B\,\sqrt{x}}{c}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}-\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}+\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}-\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}+\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{16\,\left(A^3\,a\,c^2-2\,A^2\,B\,a\,b\,c+A\,B^2\,a^2\,c+A\,B^2\,a\,b^2-B^3\,a^2\,b\right)}{c}}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c-B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2-2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}-\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}+\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}-\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^3-B\,a\,b^2\,c^2\right)}{c}+\frac{8\,\sqrt{x}\,\left(b^3\,c^3-4\,a\,b\,c^4\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{8\,\sqrt{x}\,\left(-2\,A^2\,a\,c^3+A^2\,b^2\,c^2+6\,A\,B\,a\,b\,c^2-2\,A\,B\,b^3\,c+2\,B^2\,a^2\,c^2-4\,B^2\,a\,b^2\,c+B^2\,b^4\right)}{c}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{16\,\left(A^3\,a\,c^2-2\,A^2\,B\,a\,b\,c+A\,B^2\,a^2\,c+A\,B^2\,a\,b^2-B^3\,a^2\,b\right)}{c}}\right)\,\sqrt{-\frac{B^2\,b^5+A^2\,b^3\,c^2-A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,b^4\,c-16\,A\,B\,a^2\,c^3-4\,A^2\,a\,b\,c^3-7\,B^2\,a\,b^3\,c+B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,B^2\,a^2\,b\,c^2+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a\,b^2\,c^2}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"(2*B*x^(1/2))/c - atan(((((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c - (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c + (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c - (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c + (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (16*(A^3*a*c^2 - B^3*a^2*b + A*B^2*a*b^2 + A*B^2*a^2*c - 2*A^2*B*a*b*c))/c))*(-(B^2*b^5 + A^2*b^3*c^2 - A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c + B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 + 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i - atan(((((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c - (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c + (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c - (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((8*(4*B*a^2*c^3 - B*a*b^2*c^2))/c + (8*x^(1/2)*(b^3*c^3 - 4*a*b*c^4)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (8*x^(1/2)*(B^2*b^4 - 2*A^2*a*c^3 + A^2*b^2*c^2 + 2*B^2*a^2*c^2 - 2*A*B*b^3*c - 4*B^2*a*b^2*c + 6*A*B*a*b*c^2))/c)*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (16*(A^3*a*c^2 - B^3*a^2*b + A*B^2*a*b^2 + A*B^2*a^2*c - 2*A^2*B*a*b*c))/c))*(-(B^2*b^5 + A^2*b^3*c^2 + A^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*b^4*c - 16*A*B*a^2*c^3 - 4*A^2*a*b*c^3 - 7*B^2*a*b^3*c - B^2*a*c*(-(4*a*c - b^2)^3)^(1/2) + 12*B^2*a^2*b*c^2 - 2*A*B*b*c*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a*b^2*c^2)/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i","B"
1012,1,4141,180,2.180705,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x + c*x^2)),x)","-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-8\,A\,b^2\,c^2+32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+8\,A\,b^2\,c^2-32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-8\,A\,b^2\,c^2+32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-\left(\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+8\,A\,b^2\,c^2-32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+16\,A^2\,B\,c^2+16\,B^3\,a\,c-16\,A\,B^2\,b\,c}\right)\,\sqrt{-\frac{B^2\,a\,b^3+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-8\,A\,b^2\,c^2+32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+8\,A\,b^2\,c^2-32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-8\,A\,b^2\,c^2+32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}-\left(\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,\left(\sqrt{x}\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+8\,A\,b^2\,c^2-32\,A\,a\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,c^3-16\,A\,B\,b\,c^2+8\,B^2\,b^2\,c-16\,a\,B^2\,c^2\right)\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}+16\,A^2\,B\,c^2+16\,B^3\,a\,c-16\,A\,B^2\,b\,c}\right)\,\sqrt{-\frac{B^2\,a\,b^3-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+A^2\,b^3\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,c^2-4\,A^2\,a\,b\,c^2-4\,B^2\,a^2\,b\,c-4\,A\,B\,a\,b^2\,c}{2\,\left(16\,a^3\,c^3-8\,a^2\,b^2\,c^2+a\,b^4\,c\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - 8*A*b^2*c^2 + 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*1i + ((-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 8*A*b^2*c^2 - 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*1i)/(((-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - 8*A*b^2*c^2 + 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - ((-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 8*A*b^2*c^2 - 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 16*A^2*B*c^2 + 16*B^3*a*c - 16*A*B^2*b*c))*(-(B^2*a*b^3 + B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c - A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*2i - atan((((-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - 8*A*b^2*c^2 + 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*1i + ((-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 8*A*b^2*c^2 - 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*1i)/(((-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - 8*A*b^2*c^2 + 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) - ((-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*(x^(1/2)*(8*b^3*c^2 - 32*a*b*c^3)*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 8*A*b^2*c^2 - 32*A*a*c^3) + x^(1/2)*(16*A^2*c^3 - 16*B^2*a*c^2 + 8*B^2*b^2*c - 16*A*B*b*c^2))*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2) + 16*A^2*B*c^2 + 16*B^3*a*c - 16*A*B^2*b*c))*(-(B^2*a*b^3 - B^2*a*(-(4*a*c - b^2)^3)^(1/2) + A^2*b^3*c + A^2*c*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*c^2 - 4*A^2*a*b*c^2 - 4*B^2*a^2*b*c - 4*A*B*a*b^2*c)/(2*(16*a^3*c^3 - 8*a^2*b^2*c^2 + a*b^4*c)))^(1/2)*2i","B"
1013,1,6367,199,2.497289,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x + c*x^2)),x)","-\frac{2\,A}{a\,\sqrt{x}}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,B\,a^6\,c^3+32\,A\,a^5\,b\,c^3-8\,A\,a^4\,b^3\,c^2+8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(32\,B\,a^6\,c^3+\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,A\,a^5\,b\,c^3+8\,A\,a^4\,b^3\,c^2-8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,B\,a^6\,c^3+32\,A\,a^5\,b\,c^3-8\,A\,a^4\,b^3\,c^2+8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(32\,B\,a^6\,c^3+\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,A\,a^5\,b\,c^3+8\,A\,a^4\,b^3\,c^2-8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,A^3\,a^3\,c^4+16\,A\,B^2\,a^4\,c^3-16\,A^2\,B\,a^3\,b\,c^3}\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c-A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2-2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,B\,a^6\,c^3+32\,A\,a^5\,b\,c^3-8\,A\,a^4\,b^3\,c^2+8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(32\,B\,a^6\,c^3+\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,A\,a^5\,b\,c^3+8\,A\,a^4\,b^3\,c^2-8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,B\,a^6\,c^3+32\,A\,a^5\,b\,c^3-8\,A\,a^4\,b^3\,c^2+8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-\left(\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(32\,B\,a^6\,c^3+\sqrt{x}\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-32\,A\,a^5\,b\,c^3+8\,A\,a^4\,b^3\,c^2-8\,B\,a^5\,b^2\,c^2\right)+\sqrt{x}\,\left(16\,A^2\,a^4\,c^4-8\,A^2\,a^3\,b^2\,c^3+16\,A\,B\,a^4\,b\,c^3-16\,B^2\,a^5\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+16\,A^3\,a^3\,c^4+16\,A\,B^2\,a^4\,c^3-16\,A^2\,B\,a^3\,b\,c^3}\right)\,\sqrt{-\frac{A^2\,b^5+B^2\,a^2\,b^3-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^4-16\,A\,B\,a^3\,c^2-7\,A^2\,a\,b^3\,c+A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,B^2\,a^3\,b\,c+12\,A^2\,a^2\,b\,c^2+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,A\,B\,a^2\,b^2\,c}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*B*a^6*c^3 + 32*A*a^5*b*c^3 - 8*A*a^4*b^3*c^2 + 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i + ((-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(32*B*a^6*c^3 + x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*A*a^5*b*c^3 + 8*A*a^4*b^3*c^2 - 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i)/(((-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*B*a^6*c^3 + 32*A*a^5*b*c^3 - 8*A*a^4*b^3*c^2 + 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - ((-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(32*B*a^6*c^3 + x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*A*a^5*b*c^3 + 8*A*a^4*b^3*c^2 - 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*A^3*a^3*c^4 + 16*A*B^2*a^4*c^3 - 16*A^2*B*a^3*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 + A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c - A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 - 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - atan((((-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*B*a^6*c^3 + 32*A*a^5*b*c^3 - 8*A*a^4*b^3*c^2 + 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i + ((-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(32*B*a^6*c^3 + x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*A*a^5*b*c^3 + 8*A*a^4*b^3*c^2 - 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i)/(((-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*B*a^6*c^3 + 32*A*a^5*b*c^3 - 8*A*a^4*b^3*c^2 + 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - ((-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(32*B*a^6*c^3 + x^(1/2)*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - 32*A*a^5*b*c^3 + 8*A*a^4*b^3*c^2 - 8*B*a^5*b^2*c^2) + x^(1/2)*(16*A^2*a^4*c^4 - 16*B^2*a^5*c^3 - 8*A^2*a^3*b^2*c^3 + 16*A*B*a^4*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 16*A^3*a^3*c^4 + 16*A*B^2*a^4*c^3 - 16*A^2*B*a^3*b*c^3))*(-(A^2*b^5 + B^2*a^2*b^3 - A^2*b^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^4 - 16*A*B*a^3*c^2 - 7*A^2*a*b^3*c + A^2*a*c*(-(4*a*c - b^2)^3)^(1/2) - 4*B^2*a^3*b*c + 12*A^2*a^2*b*c^2 + 2*A*B*a*b*(-(4*a*c - b^2)^3)^(1/2) + 12*A*B*a^2*b^2*c)/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - (2*A)/(a*x^(1/2))","B"
1014,1,10133,284,3.345313,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x + c*x^2)),x)","-\frac{\frac{2\,A}{3\,a}-\frac{2\,x\,\left(A\,b-B\,a\right)}{a^2}}{x^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)+\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4-\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)-\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4+\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)+\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4-\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}-\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)-\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4+\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+16\,B^3\,a^8\,c^4+16\,A^2\,B\,a^7\,c^5-16\,A^3\,a^6\,b\,c^5-32\,A\,B^2\,a^7\,b\,c^4+16\,A^2\,B\,a^6\,b^2\,c^4}\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5+A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2+A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2-B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2-3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c+4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)+\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4-\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)-\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4+\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)+\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4-\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}-\left(\sqrt{x}\,\left(16\,A^2\,a^8\,c^5-32\,A^2\,a^7\,b^2\,c^4+8\,A^2\,a^6\,b^4\,c^3+48\,A\,B\,a^8\,b\,c^4-16\,A\,B\,a^7\,b^3\,c^3-16\,B^2\,a^9\,c^4+8\,B^2\,a^8\,b^2\,c^3\right)-\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,\left(32\,A\,a^{10}\,c^4+\sqrt{x}\,\left(32\,a^{11}\,b\,c^3-8\,a^{10}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+32\,B\,a^{10}\,b\,c^3+8\,A\,a^8\,b^4\,c^2-40\,A\,a^9\,b^2\,c^3-8\,B\,a^9\,b^3\,c^2\right)\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}+16\,B^3\,a^8\,c^4+16\,A^2\,B\,a^7\,c^5-16\,A^3\,a^6\,b\,c^5-32\,A\,B^2\,a^7\,b\,c^4+16\,A^2\,B\,a^6\,b^2\,c^4}\right)\,\sqrt{-\frac{A^2\,b^7+B^2\,a^2\,b^5-A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^6+25\,A^2\,a^2\,b^3\,c^2-A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^4\,c^3-9\,A^2\,a\,b^5\,c-20\,A^2\,a^3\,b\,c^3-7\,B^2\,a^3\,b^3\,c+12\,B^2\,a^4\,b\,c^2+B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-36\,A\,B\,a^3\,b^2\,c^2+3\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^2\,b^4\,c-4\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^7\,c^2-8\,a^6\,b^2\,c+a^5\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) + (-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 - x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*1i + (x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) - (-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 + x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*1i)/((x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) + (-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 - x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) - (x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) - (-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 + x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 16*B^3*a^8*c^4 + 16*A^2*B*a^7*c^5 - 16*A^3*a^6*b*c^5 - 32*A*B^2*a^7*b*c^4 + 16*A^2*B*a^6*b^2*c^4))*(-(A^2*b^7 + B^2*a^2*b^5 + A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 + A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 - B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 - 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c + 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*2i + atan(((x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) + (-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 - x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*1i + (x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) - (-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 + x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*1i)/((x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) + (-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 - x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) - (x^(1/2)*(16*A^2*a^8*c^5 - 16*B^2*a^9*c^4 + 8*A^2*a^6*b^4*c^3 - 32*A^2*a^7*b^2*c^4 + 8*B^2*a^8*b^2*c^3 - 16*A*B*a^7*b^3*c^3 + 48*A*B*a^8*b*c^4) - (-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*(32*A*a^10*c^4 + x^(1/2)*(32*a^11*b*c^3 - 8*a^10*b^3*c^2)*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 32*B*a^10*b*c^3 + 8*A*a^8*b^4*c^2 - 40*A*a^9*b^2*c^3 - 8*B*a^9*b^3*c^2))*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2) + 16*B^3*a^8*c^4 + 16*A^2*B*a^7*c^5 - 16*A^3*a^6*b*c^5 - 32*A*B^2*a^7*b*c^4 + 16*A^2*B*a^6*b^2*c^4))*(-(A^2*b^7 + B^2*a^2*b^5 - A^2*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^6 + 25*A^2*a^2*b^3*c^2 - A^2*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^4*c^3 - 9*A^2*a*b^5*c - 20*A^2*a^3*b*c^3 - 7*B^2*a^3*b^3*c + 12*B^2*a^4*b*c^2 + B^2*a^3*c*(-(4*a*c - b^2)^3)^(1/2) - 36*A*B*a^3*b^2*c^2 + 3*A^2*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^2*b^4*c - 4*A*B*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^5*b^4 + 16*a^7*c^2 - 8*a^6*b^2*c)))^(1/2)*2i - ((2*A)/(3*a) - (2*x*(A*b - B*a))/a^2)/x^(3/2)","B"
1015,1,13983,307,4.145774,"\text{Not used}","int((A + B*x)/(x^(7/2)*(a + b*x + c*x^2)),x)","\frac{\frac{2\,x^2\,\left(-A\,b^2+B\,a\,b+A\,a\,c\right)}{a^3}-\frac{2\,A}{5\,a}+\frac{2\,x\,\left(A\,b-B\,a\right)}{3\,a^2}}{x^{5/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-32\,B\,a^{15}\,c^4+64\,A\,a^{14}\,b\,c^4+8\,A\,a^{12}\,b^5\,c^2-48\,A\,a^{13}\,b^3\,c^3-8\,B\,a^{13}\,b^4\,c^2+40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(32\,B\,a^{15}\,c^4+\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-64\,A\,a^{14}\,b\,c^4-8\,A\,a^{12}\,b^5\,c^2+48\,A\,a^{13}\,b^3\,c^3+8\,B\,a^{13}\,b^4\,c^2-40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-32\,B\,a^{15}\,c^4+64\,A\,a^{14}\,b\,c^4+8\,A\,a^{12}\,b^5\,c^2-48\,A\,a^{13}\,b^3\,c^3-8\,B\,a^{13}\,b^4\,c^2+40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(32\,B\,a^{15}\,c^4+\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-64\,A\,a^{14}\,b\,c^4-8\,A\,a^{12}\,b^5\,c^2+48\,A\,a^{13}\,b^3\,c^3+8\,B\,a^{13}\,b^4\,c^2-40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}+16\,A^3\,a^{10}\,c^7-16\,A^3\,a^9\,b^2\,c^6+16\,A\,B^2\,a^{11}\,c^6+16\,B^3\,a^{11}\,b\,c^5-32\,A\,B^2\,a^{10}\,b^2\,c^5+16\,A^2\,B\,a^9\,b^3\,c^5}\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7+A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3-A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2+B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3+6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3-5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c+8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-32\,B\,a^{15}\,c^4+64\,A\,a^{14}\,b\,c^4+8\,A\,a^{12}\,b^5\,c^2-48\,A\,a^{13}\,b^3\,c^3-8\,B\,a^{13}\,b^4\,c^2+40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(32\,B\,a^{15}\,c^4+\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-64\,A\,a^{14}\,b\,c^4-8\,A\,a^{12}\,b^5\,c^2+48\,A\,a^{13}\,b^3\,c^3+8\,B\,a^{13}\,b^4\,c^2-40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-32\,B\,a^{15}\,c^4+64\,A\,a^{14}\,b\,c^4+8\,A\,a^{12}\,b^5\,c^2-48\,A\,a^{13}\,b^3\,c^3-8\,B\,a^{13}\,b^4\,c^2+40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-\left(\sqrt{x}\,\left(16\,A^2\,a^{12}\,c^6-72\,A^2\,a^{11}\,b^2\,c^5+48\,A^2\,a^{10}\,b^4\,c^4-8\,A^2\,a^9\,b^6\,c^3+80\,A\,B\,a^{12}\,b\,c^5-80\,A\,B\,a^{11}\,b^3\,c^4+16\,A\,B\,a^{10}\,b^5\,c^3-16\,B^2\,a^{13}\,c^5+32\,B^2\,a^{12}\,b^2\,c^4-8\,B^2\,a^{11}\,b^4\,c^3\right)+\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,\left(32\,B\,a^{15}\,c^4+\sqrt{x}\,\left(32\,a^{16}\,b\,c^3-8\,a^{15}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}-64\,A\,a^{14}\,b\,c^4-8\,A\,a^{12}\,b^5\,c^2+48\,A\,a^{13}\,b^3\,c^3+8\,B\,a^{13}\,b^4\,c^2-40\,B\,a^{14}\,b^2\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}+16\,A^3\,a^{10}\,c^7-16\,A^3\,a^9\,b^2\,c^6+16\,A\,B^2\,a^{11}\,c^6+16\,B^3\,a^{11}\,b\,c^5-32\,A\,B^2\,a^{10}\,b^2\,c^5+16\,A^2\,B\,a^9\,b^3\,c^5}\right)\,\sqrt{-\frac{A^2\,b^9+B^2\,a^2\,b^7-A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^8+42\,A^2\,a^2\,b^5\,c^2-63\,A^2\,a^3\,b^3\,c^3+A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+25\,B^2\,a^4\,b^3\,c^2-B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-16\,A\,B\,a^5\,c^4-11\,A^2\,a\,b^7\,c+28\,A^2\,a^4\,b\,c^4-9\,B^2\,a^3\,b^5\,c-20\,B^2\,a^5\,b\,c^3-6\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,A\,B\,a^3\,b^4\,c^2+76\,A\,B\,a^4\,b^2\,c^3+5\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+3\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^2\,b^6\,c-8\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^9\,c^2-8\,a^8\,b^2\,c+a^7\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 32*B*a^15*c^4 + 64*A*a^14*b*c^4 + 8*A*a^12*b^5*c^2 - 48*A*a^13*b^3*c^3 - 8*B*a^13*b^4*c^2 + 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*1i + (x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(32*B*a^15*c^4 + x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 64*A*a^14*b*c^4 - 8*A*a^12*b^5*c^2 + 48*A*a^13*b^3*c^3 + 8*B*a^13*b^4*c^2 - 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*1i)/((x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 32*B*a^15*c^4 + 64*A*a^14*b*c^4 + 8*A*a^12*b^5*c^2 - 48*A*a^13*b^3*c^3 - 8*B*a^13*b^4*c^2 + 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - (x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(32*B*a^15*c^4 + x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 64*A*a^14*b*c^4 - 8*A*a^12*b^5*c^2 + 48*A*a^13*b^3*c^3 + 8*B*a^13*b^4*c^2 - 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) + 16*A^3*a^10*c^7 - 16*A^3*a^9*b^2*c^6 + 16*A*B^2*a^11*c^6 + 16*B^3*a^11*b*c^5 - 32*A*B^2*a^10*b^2*c^5 + 16*A^2*B*a^9*b^3*c^5))*(-(A^2*b^9 + B^2*a^2*b^7 + A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 - A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 + B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 + 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 - 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c + 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*2i + atan(((x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 32*B*a^15*c^4 + 64*A*a^14*b*c^4 + 8*A*a^12*b^5*c^2 - 48*A*a^13*b^3*c^3 - 8*B*a^13*b^4*c^2 + 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*1i + (x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(32*B*a^15*c^4 + x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 64*A*a^14*b*c^4 - 8*A*a^12*b^5*c^2 + 48*A*a^13*b^3*c^3 + 8*B*a^13*b^4*c^2 - 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*1i)/((x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 32*B*a^15*c^4 + 64*A*a^14*b*c^4 + 8*A*a^12*b^5*c^2 - 48*A*a^13*b^3*c^3 - 8*B*a^13*b^4*c^2 + 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - (x^(1/2)*(16*A^2*a^12*c^6 - 16*B^2*a^13*c^5 - 8*A^2*a^9*b^6*c^3 + 48*A^2*a^10*b^4*c^4 - 72*A^2*a^11*b^2*c^5 - 8*B^2*a^11*b^4*c^3 + 32*B^2*a^12*b^2*c^4 + 16*A*B*a^10*b^5*c^3 - 80*A*B*a^11*b^3*c^4 + 80*A*B*a^12*b*c^5) + (-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*(32*B*a^15*c^4 + x^(1/2)*(32*a^16*b*c^3 - 8*a^15*b^3*c^2)*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) - 64*A*a^14*b*c^4 - 8*A*a^12*b^5*c^2 + 48*A*a^13*b^3*c^3 + 8*B*a^13*b^4*c^2 - 40*B*a^14*b^2*c^3))*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2) + 16*A^3*a^10*c^7 - 16*A^3*a^9*b^2*c^6 + 16*A*B^2*a^11*c^6 + 16*B^3*a^11*b*c^5 - 32*A*B^2*a^10*b^2*c^5 + 16*A^2*B*a^9*b^3*c^5))*(-(A^2*b^9 + B^2*a^2*b^7 - A^2*b^6*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^8 + 42*A^2*a^2*b^5*c^2 - 63*A^2*a^3*b^3*c^3 + A^2*a^3*c^3*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^3)^(1/2) + 25*B^2*a^4*b^3*c^2 - B^2*a^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 16*A*B*a^5*c^4 - 11*A^2*a*b^7*c + 28*A^2*a^4*b*c^4 - 9*B^2*a^3*b^5*c - 20*B^2*a^5*b*c^3 - 6*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 66*A*B*a^3*b^4*c^2 + 76*A*B*a^4*b^2*c^3 + 5*A^2*a*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 3*B^2*a^3*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^5*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^2*b^6*c - 8*A*B*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 6*A*B*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^7*b^4 + 16*a^9*c^2 - 8*a^8*b^2*c)))^(1/2)*2i + ((2*x^2*(A*a*c - A*b^2 + B*a*b))/a^3 - (2*A)/(5*a) + (2*x*(A*b - B*a))/(3*a^2))/x^(5/2)","B"
1016,1,17910,381,5.147539,"\text{Not used}","int((A + B*x)/(x^(9/2)*(a + b*x + c*x^2)),x)","\frac{\frac{2\,x^3\,\left(B\,c\,a^2-B\,a\,b^2-2\,A\,c\,a\,b+A\,b^3\right)}{a^4}-\frac{2\,A}{7\,a}+\frac{2\,x^2\,\left(-A\,b^2+B\,a\,b+A\,a\,c\right)}{3\,a^3}+\frac{2\,x\,\left(A\,b-B\,a\right)}{5\,a^2}}{x^{7/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5+\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)-\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5-\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5+\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)-\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5-\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+16\,B^3\,a^{15}\,c^7+16\,A^3\,a^{12}\,b^3\,c^7-16\,B^3\,a^{14}\,b^2\,c^6+16\,A^2\,B\,a^{14}\,c^8-32\,A^3\,a^{13}\,b\,c^8-48\,A\,B^2\,a^{14}\,b\,c^7+32\,A\,B^2\,a^{13}\,b^3\,c^6-16\,A^2\,B\,a^{12}\,b^4\,c^6+16\,A^2\,B\,a^{13}\,b^2\,c^7}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4+A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3-B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4+15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4-7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c+12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5+\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)-\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5-\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5+\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)-\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+\left(\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,\left(32\,A\,a^{19}\,c^5-\sqrt{x}\,\left(32\,a^{21}\,b\,c^3-8\,a^{20}\,b^3\,c^2\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+64\,B\,a^{19}\,b\,c^4-8\,A\,a^{16}\,b^6\,c^2+56\,A\,a^{17}\,b^4\,c^3-104\,A\,a^{18}\,b^2\,c^4+8\,B\,a^{17}\,b^5\,c^2-48\,B\,a^{18}\,b^3\,c^3\right)+\sqrt{x}\,\left(16\,A^2\,a^{16}\,c^7-128\,A^2\,a^{15}\,b^2\,c^6+160\,A^2\,a^{14}\,b^4\,c^5-64\,A^2\,a^{13}\,b^6\,c^4+8\,A^2\,a^{12}\,b^8\,c^3+112\,A\,B\,a^{16}\,b\,c^6-224\,A\,B\,a^{15}\,b^3\,c^5+112\,A\,B\,a^{14}\,b^5\,c^4-16\,A\,B\,a^{13}\,b^7\,c^3-16\,B^2\,a^{17}\,c^6+72\,B^2\,a^{16}\,b^2\,c^5-48\,B^2\,a^{15}\,b^4\,c^4+8\,B^2\,a^{14}\,b^6\,c^3\right)\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}+16\,B^3\,a^{15}\,c^7+16\,A^3\,a^{12}\,b^3\,c^7-16\,B^3\,a^{14}\,b^2\,c^6+16\,A^2\,B\,a^{14}\,c^8-32\,A^3\,a^{13}\,b\,c^8-48\,A\,B^2\,a^{14}\,b\,c^7+32\,A\,B^2\,a^{13}\,b^3\,c^6-16\,A^2\,B\,a^{12}\,b^4\,c^6+16\,A^2\,B\,a^{13}\,b^2\,c^7}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9-A^2\,b^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,A\,B\,a\,b^{10}+63\,A^2\,a^2\,b^7\,c^2-138\,A^2\,a^3\,b^5\,c^3+129\,A^2\,a^4\,b^3\,c^4-A^2\,a^4\,c^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-B^2\,a^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+42\,B^2\,a^4\,b^5\,c^2-63\,B^2\,a^5\,b^3\,c^3+B^2\,a^5\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+16\,A\,B\,a^6\,c^5-13\,A^2\,a\,b^9\,c-36\,A^2\,a^5\,b\,c^5-11\,B^2\,a^3\,b^7\,c+28\,B^2\,a^6\,b\,c^4-15\,A^2\,a^2\,b^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,A^2\,a^3\,b^2\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,B^2\,a^4\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-104\,A\,B\,a^3\,b^6\,c^2+192\,A\,B\,a^4\,b^4\,c^3-132\,A\,B\,a^5\,b^2\,c^4+7\,A^2\,a\,b^6\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+5\,B^2\,a^3\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+2\,A\,B\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,A\,B\,a^2\,b^8\,c-12\,A\,B\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-8\,A\,B\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,A\,B\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"((2*x^3*(A*b^3 - B*a*b^2 + B*a^2*c - 2*A*a*b*c))/a^4 - (2*A)/(7*a) + (2*x^2*(A*a*c - A*b^2 + B*a*b))/(3*a^3) + (2*x*(A*b - B*a))/(5*a^2))/x^(7/2) + atan((((-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 + x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) - x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*1i - ((-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 - x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) + x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*1i)/(((-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 + x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) - x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + ((-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 - x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) + x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 16*B^3*a^15*c^7 + 16*A^3*a^12*b^3*c^7 - 16*B^3*a^14*b^2*c^6 + 16*A^2*B*a^14*c^8 - 32*A^3*a^13*b*c^8 - 48*A*B^2*a^14*b*c^7 + 32*A*B^2*a^13*b^3*c^6 - 16*A^2*B*a^12*b^4*c^6 + 16*A^2*B*a^13*b^2*c^7))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 + A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) + B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 - B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 + 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) - 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) + 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 - 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) - 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c + 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) + 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*2i + atan((((-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 + x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) - x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*1i - ((-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 - x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) + x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*1i)/(((-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 + x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) - x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + ((-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*(32*A*a^19*c^5 - x^(1/2)*(32*a^21*b*c^3 - 8*a^20*b^3*c^2)*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 64*B*a^19*b*c^4 - 8*A*a^16*b^6*c^2 + 56*A*a^17*b^4*c^3 - 104*A*a^18*b^2*c^4 + 8*B*a^17*b^5*c^2 - 48*B*a^18*b^3*c^3) + x^(1/2)*(16*A^2*a^16*c^7 - 16*B^2*a^17*c^6 + 8*A^2*a^12*b^8*c^3 - 64*A^2*a^13*b^6*c^4 + 160*A^2*a^14*b^4*c^5 - 128*A^2*a^15*b^2*c^6 + 8*B^2*a^14*b^6*c^3 - 48*B^2*a^15*b^4*c^4 + 72*B^2*a^16*b^2*c^5 - 16*A*B*a^13*b^7*c^3 + 112*A*B*a^14*b^5*c^4 - 224*A*B*a^15*b^3*c^5 + 112*A*B*a^16*b*c^6))*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2) + 16*B^3*a^15*c^7 + 16*A^3*a^12*b^3*c^7 - 16*B^3*a^14*b^2*c^6 + 16*A^2*B*a^14*c^8 - 32*A^3*a^13*b*c^8 - 48*A*B^2*a^14*b*c^7 + 32*A*B^2*a^13*b^3*c^6 - 16*A^2*B*a^12*b^4*c^6 + 16*A^2*B*a^13*b^2*c^7))*(-(A^2*b^11 + B^2*a^2*b^9 - A^2*b^8*(-(4*a*c - b^2)^3)^(1/2) - 2*A*B*a*b^10 + 63*A^2*a^2*b^7*c^2 - 138*A^2*a^3*b^5*c^3 + 129*A^2*a^4*b^3*c^4 - A^2*a^4*c^4*(-(4*a*c - b^2)^3)^(1/2) - B^2*a^2*b^6*(-(4*a*c - b^2)^3)^(1/2) + 42*B^2*a^4*b^5*c^2 - 63*B^2*a^5*b^3*c^3 + B^2*a^5*c^3*(-(4*a*c - b^2)^3)^(1/2) + 16*A*B*a^6*c^5 - 13*A^2*a*b^9*c - 36*A^2*a^5*b*c^5 - 11*B^2*a^3*b^7*c + 28*B^2*a^6*b*c^4 - 15*A^2*a^2*b^4*c^2*(-(4*a*c - b^2)^3)^(1/2) + 10*A^2*a^3*b^2*c^3*(-(4*a*c - b^2)^3)^(1/2) - 6*B^2*a^4*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 104*A*B*a^3*b^6*c^2 + 192*A*B*a^4*b^4*c^3 - 132*A*B*a^5*b^2*c^4 + 7*A^2*a*b^6*c*(-(4*a*c - b^2)^3)^(1/2) + 5*B^2*a^3*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 2*A*B*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 24*A*B*a^2*b^8*c - 12*A*B*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 8*A*B*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 20*A*B*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))^(1/2)*2i","B"
1017,1,16631,411,5.143201,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x + c*x^2)^2,x)","\frac{2\,B\,\sqrt{x}}{c^2}-\frac{\frac{x^{3/2}\,\left(B\,b^3-A\,b^2\,c-3\,B\,a\,b\,c+2\,A\,a\,c^2\right)}{4\,a\,c-b^2}-\frac{\sqrt{x}\,\left(2\,B\,c\,a^2-B\,a\,b^2+A\,c\,a\,b\right)}{4\,a\,c-b^2}}{c^3\,x^2+b\,c^2\,x+a\,c^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\left(216\,A^3\,a^4\,c^4-66\,A^3\,a^3\,b^2\,c^3+5\,A^3\,a^2\,b^4\,c^2-924\,A^2\,B\,a^4\,b\,c^3+339\,A^2\,B\,a^3\,b^3\,c^2-30\,A^2\,B\,a^2\,b^5\,c+600\,A\,B^2\,a^5\,c^3+762\,A\,B^2\,a^4\,b^2\,c^2-402\,A\,B^2\,a^3\,b^4\,c+45\,A\,B^2\,a^2\,b^6-1300\,B^3\,a^5\,b\,c^2+573\,B^3\,a^4\,b^3\,c-63\,B^3\,a^3\,b^5\right)}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}}\right)\,\sqrt{-\frac{9\,B^2\,b^{13}+A^2\,b^{11}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,b^{12}\,c+288\,A^2\,a^2\,b^7\,c^4-1504\,A^2\,a^3\,b^5\,c^5+3840\,A^2\,a^4\,b^3\,c^6+2077\,B^2\,a^2\,b^9\,c^2-10656\,B^2\,a^3\,b^7\,c^3+30240\,B^2\,a^4\,b^5\,c^4-44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-15360\,A\,B\,a^6\,c^7-213\,B^2\,a\,b^{11}\,c-27\,A^2\,a\,b^9\,c^3-3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,B^2\,a^6\,b\,c^6-1548\,A\,B\,a^2\,b^8\,c^3+8064\,A\,B\,a^3\,b^6\,c^4-22400\,A\,B\,a^4\,b^4\,c^5+30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}-\frac{2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}+\frac{2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}-\frac{2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\left(\left(\frac{2560\,B\,a^5\,c^7-2688\,B\,a^4\,b^2\,c^6+256\,A\,a^4\,b\,c^7+1056\,B\,a^3\,b^4\,c^5-192\,A\,a^3\,b^3\,c^6-184\,B\,a^2\,b^6\,c^4+48\,A\,a^2\,b^5\,c^5+12\,B\,a\,b^8\,c^3-4\,A\,a\,b^7\,c^4}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}+\frac{2\,\sqrt{x}\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-256\,a^3\,b\,c^8+192\,a^2\,b^3\,c^7-48\,a\,b^5\,c^6+4\,b^7\,c^5\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{2\,\sqrt{x}\,\left(-72\,A^2\,a^3\,c^5+74\,A^2\,a^2\,b^2\,c^4-16\,A^2\,a\,b^4\,c^3+A^2\,b^6\,c^2+472\,A\,B\,a^3\,b\,c^4-374\,A\,B\,a^2\,b^3\,c^3+86\,A\,B\,a\,b^5\,c^2-6\,A\,B\,b^7\,c+200\,B^2\,a^4\,c^4-718\,B^2\,a^3\,b^2\,c^3+481\,B^2\,a^2\,b^4\,c^2-114\,B^2\,a\,b^6\,c+9\,B^2\,b^8\right)}{16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{2\,\left(216\,A^3\,a^4\,c^4-66\,A^3\,a^3\,b^2\,c^3+5\,A^3\,a^2\,b^4\,c^2-924\,A^2\,B\,a^4\,b\,c^3+339\,A^2\,B\,a^3\,b^3\,c^2-30\,A^2\,B\,a^2\,b^5\,c+600\,A\,B^2\,a^5\,c^3+762\,A\,B^2\,a^4\,b^2\,c^2-402\,A\,B^2\,a^3\,b^4\,c+45\,A\,B^2\,a^2\,b^6-1300\,B^3\,a^5\,b\,c^2+573\,B^3\,a^4\,b^3\,c-63\,B^3\,a^3\,b^5\right)}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}}\right)\,\sqrt{\frac{9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^{11}\,c^2-9\,B^2\,b^{13}+6\,A\,B\,b^{12}\,c-288\,A^2\,a^2\,b^7\,c^4+1504\,A^2\,a^3\,b^5\,c^5-3840\,A^2\,a^4\,b^3\,c^6-2077\,B^2\,a^2\,b^9\,c^2+10656\,B^2\,a^3\,b^7\,c^3-30240\,B^2\,a^4\,b^5\,c^4+44800\,B^2\,a^5\,b^3\,c^5+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+25\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+15360\,A\,B\,a^6\,c^7+213\,B^2\,a\,b^{11}\,c+27\,A^2\,a\,b^9\,c^3+3840\,A^2\,a^5\,b\,c^7-9\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,B^2\,a^6\,b\,c^6+1548\,A\,B\,a^2\,b^8\,c^3-8064\,A\,B\,a^3\,b^6\,c^4+22400\,A\,B\,a^4\,b^4\,c^5-30720\,A\,B\,a^5\,b^2\,c^6-51\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a\,b^{10}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+44\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,2{}\mathrm{i}","Not used",1,"(2*B*x^(1/2))/c^2 - atan(((((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) - (2*x^(1/2)*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i - (((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) + (2*x^(1/2)*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i)/((((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) - (2*x^(1/2)*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) + (2*x^(1/2)*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*(216*A^3*a^4*c^4 - 63*B^3*a^3*b^5 + 5*A^3*a^2*b^4*c^2 - 66*A^3*a^3*b^2*c^3 + 45*A*B^2*a^2*b^6 + 600*A*B^2*a^5*c^3 + 573*B^3*a^4*b^3*c - 1300*B^3*a^5*b*c^2 - 402*A*B^2*a^3*b^4*c - 30*A^2*B*a^2*b^5*c - 924*A^2*B*a^4*b*c^3 + 762*A*B^2*a^4*b^2*c^2 + 339*A^2*B*a^3*b^3*c^2))/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))*((9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^11*c^2 - 9*B^2*b^13 + 6*A*B*b^12*c - 288*A^2*a^2*b^7*c^4 + 1504*A^2*a^3*b^5*c^5 - 3840*A^2*a^4*b^3*c^6 - 2077*B^2*a^2*b^9*c^2 + 10656*B^2*a^3*b^7*c^3 - 30240*B^2*a^4*b^5*c^4 + 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 15360*A*B*a^6*c^7 + 213*B^2*a*b^11*c + 27*A^2*a*b^9*c^3 + 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) - 26880*B^2*a^6*b*c^6 + 1548*A*B*a^2*b^8*c^3 - 8064*A*B*a^3*b^6*c^4 + 22400*A*B*a^4*b^4*c^5 - 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*2i - ((x^(3/2)*(B*b^3 + 2*A*a*c^2 - A*b^2*c - 3*B*a*b*c))/(4*a*c - b^2) - (x^(1/2)*(2*B*a^2*c - B*a*b^2 + A*a*b*c))/(4*a*c - b^2))/(a*c^2 + c^3*x^2 + b*c^2*x) - atan(((((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) - (2*x^(1/2)*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i - (((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) + (2*x^(1/2)*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i)/((((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) - (2*x^(1/2)*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (((2560*B*a^5*c^7 - 4*A*a*b^7*c^4 + 256*A*a^4*b*c^7 + 12*B*a*b^8*c^3 + 48*A*a^2*b^5*c^5 - 192*A*a^3*b^3*c^6 - 184*B*a^2*b^6*c^4 + 1056*B*a^3*b^4*c^5 - 2688*B*a^4*b^2*c^6)/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5) + (2*x^(1/2)*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(4*b^7*c^5 - 48*a*b^5*c^6 - 256*a^3*b*c^8 + 192*a^2*b^3*c^7))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (2*x^(1/2)*(9*B^2*b^8 - 72*A^2*a^3*c^5 + A^2*b^6*c^2 + 200*B^2*a^4*c^4 - 6*A*B*b^7*c + 74*A^2*a^2*b^2*c^4 + 481*B^2*a^2*b^4*c^2 - 718*B^2*a^3*b^2*c^3 - 114*B^2*a*b^6*c - 16*A^2*a*b^4*c^3 - 374*A*B*a^2*b^3*c^3 + 86*A*B*a*b^5*c^2 + 472*A*B*a^3*b*c^4))/(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (2*(216*A^3*a^4*c^4 - 63*B^3*a^3*b^5 + 5*A^3*a^2*b^4*c^2 - 66*A^3*a^3*b^2*c^3 + 45*A*B^2*a^2*b^6 + 600*A*B^2*a^5*c^3 + 573*B^3*a^4*b^3*c - 1300*B^3*a^5*b*c^2 - 402*A*B^2*a^3*b^4*c - 30*A^2*B*a^2*b^5*c - 924*A^2*B*a^4*b*c^3 + 762*A*B^2*a^4*b^2*c^2 + 339*A^2*B*a^3*b^3*c^2))/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))*(-(9*B^2*b^13 + A^2*b^11*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*b^12*c + 288*A^2*a^2*b^7*c^4 - 1504*A^2*a^3*b^5*c^5 + 3840*A^2*a^4*b^3*c^6 + 2077*B^2*a^2*b^9*c^2 - 10656*B^2*a^3*b^7*c^3 + 30240*B^2*a^4*b^5*c^4 - 44800*B^2*a^5*b^3*c^5 + A^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 25*B^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 15360*A*B*a^6*c^7 - 213*B^2*a*b^11*c - 27*A^2*a*b^9*c^3 - 3840*A^2*a^5*b*c^7 - 9*A^2*a*c^3*(-(4*a*c - b^2)^9)^(1/2) + 26880*B^2*a^6*b*c^6 - 1548*A*B*a^2*b^8*c^3 + 8064*A*B*a^3*b^6*c^4 - 22400*A*B*a^4*b^4*c^5 + 30720*A*B*a^5*b^2*c^6 - 51*B^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a*b^10*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 44*A*B*a*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*2i","B"
1018,1,12408,321,6.474823,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x + c*x^2)^2,x)","-\frac{\frac{\sqrt{x}\,\left(2\,A\,a\,c-B\,a\,b\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{x^{3/2}\,\left(-B\,b^2+A\,c\,b+2\,B\,a\,c\right)}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\mathrm{atan}\left(\frac{\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\left(4\,A^3\,a^2\,b\,c^3+3\,A^3\,a\,b^3\,c^2-24\,A^2\,B\,a^3\,c^3-42\,A^2\,B\,a^2\,b^2\,c^2+6\,A^2\,B\,a\,b^4\,c+204\,A\,B^2\,a^3\,b\,c^2-51\,A\,B^2\,a^2\,b^3\,c+3\,A\,B^2\,a\,b^5-216\,B^3\,a^4\,c^2+66\,B^3\,a^3\,b^2\,c-5\,B^3\,a^2\,b^4\right)}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}}\right)\,\sqrt{-\frac{B^2\,b^{11}+A^2\,b^9\,c^2+A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,b^{10}\,c-96\,A^2\,a^2\,b^5\,c^4+512\,A^2\,a^3\,b^3\,c^5+288\,B^2\,a^2\,b^7\,c^2-1504\,B^2\,a^3\,b^5\,c^3+3840\,B^2\,a^4\,b^3\,c^4+3072\,A\,B\,a^5\,c^6-27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,A^2\,a^4\,b\,c^6-3840\,B^2\,a^5\,b\,c^5+192\,A\,B\,a^2\,b^6\,c^3-128\,A\,B\,a^3\,b^4\,c^4-1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}-\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}-\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{2\,\left(4\,A^3\,a^2\,b\,c^3+3\,A^3\,a\,b^3\,c^2-24\,A^2\,B\,a^3\,c^3-42\,A^2\,B\,a^2\,b^2\,c^2+6\,A^2\,B\,a\,b^4\,c+204\,A\,B^2\,a^3\,b\,c^2-51\,A\,B^2\,a^2\,b^3\,c+3\,A\,B^2\,a\,b^5-216\,B^3\,a^4\,c^2+66\,B^3\,a^3\,b^2\,c-5\,B^3\,a^2\,b^4\right)}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\left(\left(\frac{-256\,B\,a^4\,b\,c^5+512\,A\,a^4\,c^6+192\,B\,a^3\,b^3\,c^4-384\,A\,a^3\,b^2\,c^5-48\,B\,a^2\,b^5\,c^3+96\,A\,a^2\,b^4\,c^4+4\,B\,a\,b^7\,c^2-8\,A\,a\,b^6\,c^3}{-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c}+\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-256\,a^3\,b\,c^6+192\,a^2\,b^3\,c^5-48\,a\,b^5\,c^4+4\,b^7\,c^3\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{2\,\sqrt{x}\,\left(8\,A^2\,a^2\,c^4+2\,A^2\,a\,b^2\,c^3+A^2\,b^4\,c^2-8\,A\,B\,a^2\,b\,c^3-14\,A\,B\,a\,b^3\,c^2+2\,A\,B\,b^5\,c-72\,B^2\,a^3\,c^3+74\,B^2\,a^2\,b^2\,c^2-16\,B^2\,a\,b^4\,c+B^2\,b^6\right)}{16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}}\right)\,\sqrt{\frac{A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-A^2\,b^9\,c^2-B^2\,b^{11}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,b^{10}\,c+96\,A^2\,a^2\,b^5\,c^4-512\,A^2\,a^3\,b^3\,c^5-288\,B^2\,a^2\,b^7\,c^2+1504\,B^2\,a^3\,b^5\,c^3-3840\,B^2\,a^4\,b^3\,c^4-3072\,A\,B\,a^5\,c^6+27\,B^2\,a\,b^9\,c-9\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+768\,A^2\,a^4\,b\,c^6+3840\,B^2\,a^5\,b\,c^5-192\,A\,B\,a^2\,b^6\,c^3+128\,A\,B\,a^3\,b^4\,c^4+1536\,A\,B\,a^4\,b^2\,c^5+2\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a\,b^8\,c^2}{8\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"- ((x^(1/2)*(2*A*a*c - B*a*b))/(c*(4*a*c - b^2)) + (x^(3/2)*(A*b*c - B*b^2 + 2*B*a*c))/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - atan(((((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) - (2*x^(1/2)*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (2*x^(1/2)*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) - (2*x^(1/2)*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*(3*A*B^2*a*b^5 - 216*B^3*a^4*c^2 - 5*B^3*a^2*b^4 - 24*A^2*B*a^3*c^3 + 3*A^3*a*b^3*c^2 + 4*A^3*a^2*b*c^3 + 66*B^3*a^3*b^2*c - 51*A*B^2*a^2*b^3*c + 204*A*B^2*a^3*b*c^2 - 42*A^2*B*a^2*b^2*c^2 + 6*A^2*B*a*b^4*c))/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (2*x^(1/2)*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)))*(-(B^2*b^11 + A^2*b^9*c^2 + A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*b^10*c - 96*A^2*a^2*b^5*c^4 + 512*A^2*a^3*b^3*c^5 + 288*B^2*a^2*b^7*c^2 - 1504*B^2*a^3*b^5*c^3 + 3840*B^2*a^4*b^3*c^4 + 3072*A*B*a^5*c^6 - 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 768*A^2*a^4*b*c^6 - 3840*B^2*a^5*b*c^5 + 192*A*B*a^2*b^6*c^3 - 128*A*B*a^3*b^4*c^4 - 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i - atan(((((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) - (2*x^(1/2)*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (2*x^(1/2)*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) - (2*x^(1/2)*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (2*(3*A*B^2*a*b^5 - 216*B^3*a^4*c^2 - 5*B^3*a^2*b^4 - 24*A^2*B*a^3*c^3 + 3*A^3*a*b^3*c^2 + 4*A^3*a^2*b*c^3 + 66*B^3*a^3*b^2*c - 51*A*B^2*a^2*b^3*c + 204*A*B^2*a^3*b*c^2 - 42*A^2*B*a^2*b^2*c^2 + 6*A^2*B*a*b^4*c))/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (((512*A*a^4*c^6 - 8*A*a*b^6*c^3 + 4*B*a*b^7*c^2 - 256*B*a^4*b*c^5 + 96*A*a^2*b^4*c^4 - 384*A*a^3*b^2*c^5 - 48*B*a^2*b^5*c^3 + 192*B*a^3*b^3*c^4)/(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3) + (2*x^(1/2)*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(4*b^7*c^3 - 48*a*b^5*c^4 - 256*a^3*b*c^6 + 192*a^2*b^3*c^5))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (2*x^(1/2)*(B^2*b^6 + 8*A^2*a^2*c^4 + A^2*b^4*c^2 - 72*B^2*a^3*c^3 + 2*A*B*b^5*c + 74*B^2*a^2*b^2*c^2 - 16*B^2*a*b^4*c + 2*A^2*a*b^2*c^3 - 14*A*B*a*b^3*c^2 - 8*A*B*a^2*b*c^3))/(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)))*((A^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - A^2*b^9*c^2 - B^2*b^11 + B^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*b^10*c + 96*A^2*a^2*b^5*c^4 - 512*A^2*a^3*b^3*c^5 - 288*B^2*a^2*b^7*c^2 + 1504*B^2*a^3*b^5*c^3 - 3840*B^2*a^4*b^3*c^4 - 3072*A*B*a^5*c^6 + 27*B^2*a*b^9*c - 9*B^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 768*A^2*a^4*b*c^6 + 3840*B^2*a^5*b*c^5 - 192*A*B*a^2*b^6*c^3 + 128*A*B*a^3*b^4*c^4 + 1536*A*B*a^4*b^2*c^5 + 2*A*B*b*c*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a*b^8*c^2)/(8*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i","B"
1019,1,9434,276,5.598904,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x + c*x^2)^2,x)","\frac{\frac{\sqrt{x}\,\left(A\,b-2\,B\,a\right)}{4\,a\,c-b^2}+\frac{x^{3/2}\,\left(2\,A\,c-B\,b\right)}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}-\mathrm{atan}\left(\frac{\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}-\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,1{}\mathrm{i}}{\frac{2\,\left(8\,A^3\,a\,c^4+6\,A^3\,b^2\,c^3-28\,A^2\,B\,a\,b\,c^3-5\,A^2\,B\,b^3\,c^2+8\,A\,B^2\,a^2\,c^3+18\,A\,B^2\,a\,b^2\,c^2+A\,B^2\,b^4\,c-4\,B^3\,a^2\,b\,c^2-3\,B^3\,a\,b^3\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}-\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}}\right)\,\sqrt{-\frac{B^2\,a\,b^9+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}-\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,1{}\mathrm{i}}{\frac{2\,\left(8\,A^3\,a\,c^4+6\,A^3\,b^2\,c^3-28\,A^2\,B\,a\,b\,c^3-5\,A^2\,B\,b^3\,c^2+8\,A\,B^2\,a^2\,c^3+18\,A\,B^2\,a\,b^2\,c^2+A\,B^2\,b^4\,c-4\,B^3\,a^2\,b\,c^2-3\,B^3\,a\,b^3\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}-\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\left(\left(\frac{512\,B\,a^4\,c^5-384\,B\,a^3\,b^2\,c^4-256\,A\,a^3\,b\,c^5+96\,B\,a^2\,b^4\,c^3+192\,A\,a^2\,b^3\,c^4-8\,B\,a\,b^6\,c^2-48\,A\,a\,b^5\,c^3+4\,A\,b^7\,c^2}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,\left(-256\,a^3\,b\,c^5+192\,a^2\,b^3\,c^4-48\,a\,b^5\,c^3+4\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}+\frac{2\,\sqrt{x}\,\left(-8\,A^2\,a\,c^4+10\,A^2\,b^2\,c^3-8\,A\,B\,a\,b\,c^3-6\,A\,B\,b^3\,c^2+8\,B^2\,a^2\,c^3+2\,B^2\,a\,b^2\,c^2+B^2\,b^4\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}}\right)\,\sqrt{-\frac{B^2\,a\,b^9-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+A^2\,b^9\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-96\,A^2\,a^2\,b^5\,c^3+512\,A^2\,a^3\,b^3\,c^4-96\,B^2\,a^3\,b^5\,c^2+512\,B^2\,a^4\,b^3\,c^3+1024\,A\,B\,a^5\,c^5-768\,A^2\,a^4\,b\,c^5-768\,B^2\,a^5\,b\,c^4+128\,A\,B\,a^2\,b^6\,c^2-384\,A\,B\,a^3\,b^4\,c^3-12\,A\,B\,a\,b^8\,c}{8\,\left(4096\,a^7\,c^7-6144\,a^6\,b^2\,c^6+3840\,a^5\,b^4\,c^5-1280\,a^4\,b^6\,c^4+240\,a^3\,b^8\,c^3-24\,a^2\,b^{10}\,c^2+a\,b^{12}\,c\right)}}\,2{}\mathrm{i}","Not used",1,"((x^(1/2)*(A*b - 2*B*a))/(4*a*c - b^2) + (x^(3/2)*(2*A*c - B*b))/(4*a*c - b^2))/(a + b*x + c*x^2) - atan(((((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (2*x^(1/2)*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) - (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*1i - (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (2*x^(1/2)*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*1i)/((2*(8*A^3*a*c^4 + 6*A^3*b^2*c^3 + A*B^2*b^4*c - 3*B^3*a*b^3*c + 8*A*B^2*a^2*c^3 - 5*A^2*B*b^3*c^2 - 4*B^3*a^2*b*c^2 + 18*A*B^2*a*b^2*c^2 - 28*A^2*B*a*b*c^3))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (2*x^(1/2)*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) - (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (2*x^(1/2)*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)))*(-(B^2*a*b^9 - B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c + A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*2i - atan(((((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (2*x^(1/2)*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) - (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*1i - (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (2*x^(1/2)*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*1i)/((2*(8*A^3*a*c^4 + 6*A^3*b^2*c^3 + A*B^2*b^4*c - 3*B^3*a*b^3*c + 8*A*B^2*a^2*c^3 - 5*A^2*B*b^3*c^2 - 4*B^3*a^2*b*c^2 + 18*A*B^2*a*b^2*c^2 - 28*A^2*B*a*b*c^3))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) - (2*x^(1/2)*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) - (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (((4*A*b^7*c^2 + 512*B*a^4*c^5 - 48*A*a*b^5*c^3 - 256*A*a^3*b*c^5 - 8*B*a*b^6*c^2 + 192*A*a^2*b^3*c^4 + 96*B*a^2*b^4*c^3 - 384*B*a^3*b^2*c^4)/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (2*x^(1/2)*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*(4*b^7*c^2 - 48*a*b^5*c^3 - 256*a^3*b*c^5 + 192*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2) + (2*x^(1/2)*(B^2*b^4*c - 8*A^2*a*c^4 + 10*A^2*b^2*c^3 + 8*B^2*a^2*c^3 - 6*A*B*b^3*c^2 + 2*B^2*a*b^2*c^2 - 8*A*B*a*b*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)))*(-(B^2*a*b^9 + B^2*a*(-(4*a*c - b^2)^9)^(1/2) + A^2*b^9*c - A^2*c*(-(4*a*c - b^2)^9)^(1/2) - 96*A^2*a^2*b^5*c^3 + 512*A^2*a^3*b^3*c^4 - 96*B^2*a^3*b^5*c^2 + 512*B^2*a^4*b^3*c^3 + 1024*A*B*a^5*c^5 - 768*A^2*a^4*b*c^5 - 768*B^2*a^5*b*c^4 + 128*A*B*a^2*b^6*c^2 - 384*A*B*a^3*b^4*c^3 - 12*A*B*a*b^8*c)/(8*(4096*a^7*c^7 - 24*a^2*b^10*c^2 + 240*a^3*b^8*c^3 - 1280*a^4*b^6*c^4 + 3840*a^5*b^4*c^5 - 6144*a^6*b^2*c^6 + a*b^12*c)))^(1/2)*2i","B"
1020,1,12364,304,5.995714,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x + c*x^2)^2),x)","\frac{\frac{\sqrt{x}\,\left(-A\,b^2+B\,a\,b+2\,A\,a\,c\right)}{a\,\left(4\,a\,c-b^2\right)}-\frac{c\,x^{3/2}\,\left(A\,b-2\,B\,a\right)}{a\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}+\mathrm{atan}\left(\frac{\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}-\frac{2\,\sqrt{x}\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}+\frac{2\,\sqrt{x}\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\left(-36\,A^3\,a\,b\,c^5+5\,A^3\,b^3\,c^4+72\,A^2\,B\,a^2\,c^5+18\,A^2\,B\,a\,b^2\,c^4-3\,A^2\,B\,b^4\,c^3-60\,A\,B^2\,a^2\,b\,c^4+3\,A\,B^2\,a\,b^3\,c^3+8\,B^3\,a^3\,c^4+6\,B^3\,a^2\,b^2\,c^3\right)}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}}\right)\,\sqrt{-\frac{A^2\,b^{11}+B^2\,a^2\,b^9+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2\,A\,B\,a\,b^{10}+288\,A^2\,a^2\,b^7\,c^2-1504\,A^2\,a^3\,b^5\,c^3+3840\,A^2\,a^4\,b^3\,c^4-96\,B^2\,a^4\,b^5\,c^2+512\,B^2\,a^5\,b^3\,c^3+3072\,A\,B\,a^6\,c^5-27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,A^2\,a^5\,b\,c^5-768\,B^2\,a^6\,b\,c^4+192\,A\,B\,a^3\,b^6\,c^2-128\,A\,B\,a^4\,b^4\,c^3-1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}-\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}+\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}-\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\left(\left(\frac{-256\,B\,a^5\,b\,c^5+1536\,A\,a^5\,c^6+192\,B\,a^4\,b^3\,c^4-1408\,A\,a^4\,b^2\,c^5-48\,B\,a^3\,b^5\,c^3+480\,A\,a^3\,b^4\,c^4+4\,B\,a^2\,b^7\,c^2-72\,A\,a^2\,b^6\,c^3+4\,A\,a\,b^8\,c^2}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}+\frac{2\,\sqrt{x}\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(256\,a^5\,b\,c^5-192\,a^4\,b^3\,c^4+48\,a^3\,b^5\,c^3-4\,a^2\,b^7\,c^2\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{2\,\sqrt{x}\,\left(72\,A^2\,a^2\,c^5-14\,A^2\,a\,b^2\,c^4+A^2\,b^4\,c^3-40\,A\,B\,a^2\,b\,c^4+2\,A\,B\,a\,b^3\,c^3-8\,B^2\,a^3\,c^4+10\,B^2\,a^2\,b^2\,c^3\right)}{16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{2\,\left(-36\,A^3\,a\,b\,c^5+5\,A^3\,b^3\,c^4+72\,A^2\,B\,a^2\,c^5+18\,A^2\,B\,a\,b^2\,c^4-3\,A^2\,B\,b^4\,c^3-60\,A\,B^2\,a^2\,b\,c^4+3\,A\,B^2\,a\,b^3\,c^3+8\,B^3\,a^3\,c^4+6\,B^3\,a^2\,b^2\,c^3\right)}{-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6}}\right)\,\sqrt{\frac{A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^9-A^2\,b^{11}+B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2\,A\,B\,a\,b^{10}-288\,A^2\,a^2\,b^7\,c^2+1504\,A^2\,a^3\,b^5\,c^3-3840\,A^2\,a^4\,b^3\,c^4+96\,B^2\,a^4\,b^5\,c^2-512\,B^2\,a^5\,b^3\,c^3-3072\,A\,B\,a^6\,c^5+27\,A^2\,a\,b^9\,c-9\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+3840\,A^2\,a^5\,b\,c^5+768\,B^2\,a^6\,b\,c^4-192\,A\,B\,a^3\,b^6\,c^2+128\,A\,B\,a^4\,b^4\,c^3+1536\,A\,B\,a^5\,b^2\,c^4+2\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+36\,A\,B\,a^2\,b^8\,c}{8\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) - (2*x^(1/2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i - (((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) + (2*x^(1/2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i)/((((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) - (2*x^(1/2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) + (2*x^(1/2)*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*(5*A^3*b^3*c^4 + 8*B^3*a^3*c^4 + 6*B^3*a^2*b^2*c^3 - 36*A^3*a*b*c^5 + 72*A^2*B*a^2*c^5 - 3*A^2*B*b^4*c^3 + 3*A*B^2*a*b^3*c^3 - 60*A*B^2*a^2*b*c^4 + 18*A^2*B*a*b^2*c^4))/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))*(-(A^2*b^11 + B^2*a^2*b^9 + A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) + 2*A*B*a*b^10 + 288*A^2*a^2*b^7*c^2 - 1504*A^2*a^3*b^5*c^3 + 3840*A^2*a^4*b^3*c^4 - 96*B^2*a^4*b^5*c^2 + 512*B^2*a^5*b^3*c^3 + 3072*A*B*a^6*c^5 - 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) - 3840*A^2*a^5*b*c^5 - 768*B^2*a^6*b*c^4 + 192*A*B*a^3*b^6*c^2 - 128*A*B*a^4*b^4*c^3 - 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) - 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*2i + atan(((((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) - (2*x^(1/2)*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i - (((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) + (2*x^(1/2)*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i)/((((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) - (2*x^(1/2)*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (((1536*A*a^5*c^6 + 4*A*a*b^8*c^2 - 256*B*a^5*b*c^5 - 72*A*a^2*b^6*c^3 + 480*A*a^3*b^4*c^4 - 1408*A*a^4*b^2*c^5 + 4*B*a^2*b^7*c^2 - 48*B*a^3*b^5*c^3 + 192*B*a^4*b^3*c^4)/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2) + (2*x^(1/2)*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(256*a^5*b*c^5 - 4*a^2*b^7*c^2 + 48*a^3*b^5*c^3 - 192*a^4*b^3*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (2*x^(1/2)*(72*A^2*a^2*c^5 + A^2*b^4*c^3 - 8*B^2*a^3*c^4 + 10*B^2*a^2*b^2*c^3 - 14*A^2*a*b^2*c^4 + 2*A*B*a*b^3*c^3 - 40*A*B*a^2*b*c^4))/(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (2*(5*A^3*b^3*c^4 + 8*B^3*a^3*c^4 + 6*B^3*a^2*b^2*c^3 - 36*A^3*a*b*c^5 + 72*A^2*B*a^2*c^5 - 3*A^2*B*b^4*c^3 + 3*A*B^2*a*b^3*c^3 - 60*A*B^2*a^2*b*c^4 + 18*A^2*B*a*b^2*c^4))/(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)))*((A^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^9 - A^2*b^11 + B^2*a^2*(-(4*a*c - b^2)^9)^(1/2) - 2*A*B*a*b^10 - 288*A^2*a^2*b^7*c^2 + 1504*A^2*a^3*b^5*c^3 - 3840*A^2*a^4*b^3*c^4 + 96*B^2*a^4*b^5*c^2 - 512*B^2*a^5*b^3*c^3 - 3072*A*B*a^6*c^5 + 27*A^2*a*b^9*c - 9*A^2*a*c*(-(4*a*c - b^2)^9)^(1/2) + 3840*A^2*a^5*b*c^5 + 768*B^2*a^6*b*c^4 - 192*A*B*a^3*b^6*c^2 + 128*A*B*a^4*b^4*c^3 + 1536*A*B*a^5*b^2*c^4 + 2*A*B*a*b*(-(4*a*c - b^2)^9)^(1/2) + 36*A*B*a^2*b^8*c)/(8*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*2i + ((x^(1/2)*(2*A*a*c - A*b^2 + B*a*b))/(a*(4*a*c - b^2)) - (c*x^(3/2)*(A*b - 2*B*a))/(a*(4*a*c - b^2)))/(a + b*x + c*x^2)","B"
1021,1,17623,406,6.704426,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x + c*x^2)^2),x)","-\frac{\frac{2\,A}{a}-\frac{x\,\left(2\,B\,c\,a^2-B\,a\,b^2-11\,A\,c\,a\,b+3\,A\,b^3\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^2\,\left(-3\,A\,b^2+B\,a\,b+10\,A\,a\,c\right)}{a^2\,\left(4\,a\,c-b^2\right)}}{a\,\sqrt{x}+b\,x^{3/2}+c\,x^{5/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-24576\,B\,a^{15}\,c^8+53248\,A\,a^{14}\,b\,c^8+12\,A\,a^8\,b^{13}\,c^2-292\,A\,a^9\,b^{11}\,c^3+2960\,A\,a^{10}\,b^9\,c^4-16000\,A\,a^{11}\,b^7\,c^5+48640\,A\,a^{12}\,b^5\,c^6-78848\,A\,a^{13}\,b^3\,c^7-4\,B\,a^9\,b^{12}\,c^2+104\,B\,a^{10}\,b^{10}\,c^3-1120\,B\,a^{11}\,b^8\,c^4+6400\,B\,a^{12}\,b^6\,c^5-20480\,B\,a^{13}\,b^4\,c^6+34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(24576\,B\,a^{15}\,c^8+\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-53248\,A\,a^{14}\,b\,c^8-12\,A\,a^8\,b^{13}\,c^2+292\,A\,a^9\,b^{11}\,c^3-2960\,A\,a^{10}\,b^9\,c^4+16000\,A\,a^{11}\,b^7\,c^5-48640\,A\,a^{12}\,b^5\,c^6+78848\,A\,a^{13}\,b^3\,c^7+4\,B\,a^9\,b^{12}\,c^2-104\,B\,a^{10}\,b^{10}\,c^3+1120\,B\,a^{11}\,b^8\,c^4-6400\,B\,a^{12}\,b^6\,c^5+20480\,B\,a^{13}\,b^4\,c^6-34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-24576\,B\,a^{15}\,c^8+53248\,A\,a^{14}\,b\,c^8+12\,A\,a^8\,b^{13}\,c^2-292\,A\,a^9\,b^{11}\,c^3+2960\,A\,a^{10}\,b^9\,c^4-16000\,A\,a^{11}\,b^7\,c^5+48640\,A\,a^{12}\,b^5\,c^6-78848\,A\,a^{13}\,b^3\,c^7-4\,B\,a^9\,b^{12}\,c^2+104\,B\,a^{10}\,b^{10}\,c^3-1120\,B\,a^{11}\,b^8\,c^4+6400\,B\,a^{12}\,b^6\,c^5-20480\,B\,a^{13}\,b^4\,c^6+34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}-\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(24576\,B\,a^{15}\,c^8+\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-53248\,A\,a^{14}\,b\,c^8-12\,A\,a^8\,b^{13}\,c^2+292\,A\,a^9\,b^{11}\,c^3-2960\,A\,a^{10}\,b^9\,c^4+16000\,A\,a^{11}\,b^7\,c^5-48640\,A\,a^{12}\,b^5\,c^6+78848\,A\,a^{13}\,b^3\,c^7+4\,B\,a^9\,b^{12}\,c^2-104\,B\,a^{10}\,b^{10}\,c^3+1120\,B\,a^{11}\,b^8\,c^4-6400\,B\,a^{12}\,b^6\,c^5+20480\,B\,a^{13}\,b^4\,c^6-34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+32000\,A^3\,a^{10}\,c^9+126\,A^3\,a^6\,b^8\,c^5-2028\,A^3\,a^7\,b^6\,c^6+12176\,A^3\,a^8\,b^4\,c^7-32320\,A^3\,a^9\,b^2\,c^8-10\,B^3\,a^8\,b^7\,c^4+152\,B^3\,a^9\,b^5\,c^5-736\,B^3\,a^{10}\,b^3\,c^6+11520\,A\,B^2\,a^{11}\,c^8+1152\,B^3\,a^{11}\,b\,c^7-21120\,A^2\,B\,a^{10}\,b\,c^8+60\,A\,B^2\,a^7\,b^8\,c^4-948\,A\,B^2\,a^8\,b^6\,c^5+5424\,A\,B^2\,a^9\,b^4\,c^6-13248\,A\,B^2\,a^{10}\,b^2\,c^7-90\,A^2\,B\,a^6\,b^9\,c^4+1434\,A^2\,B\,a^7\,b^7\,c^5-8472\,A^2\,B\,a^8\,b^5\,c^6+21984\,A^2\,B\,a^9\,b^3\,c^7}\right)\,\sqrt{-\frac{9\,A^2\,b^{13}+B^2\,a^2\,b^{11}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^{12}+2077\,A^2\,a^2\,b^9\,c^2-10656\,A^2\,a^3\,b^7\,c^3+30240\,A^2\,a^4\,b^5\,c^4-44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+288\,B^2\,a^4\,b^7\,c^2-1504\,B^2\,a^5\,b^5\,c^3+3840\,B^2\,a^6\,b^3\,c^4-15360\,A\,B\,a^7\,c^6-213\,A^2\,a\,b^{11}\,c+26880\,A^2\,a^6\,b\,c^6-27\,B^2\,a^3\,b^9\,c-3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-1548\,A\,B\,a^3\,b^8\,c^2+8064\,A\,B\,a^4\,b^6\,c^3-22400\,A\,B\,a^5\,b^4\,c^4+30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-24576\,B\,a^{15}\,c^8+53248\,A\,a^{14}\,b\,c^8+12\,A\,a^8\,b^{13}\,c^2-292\,A\,a^9\,b^{11}\,c^3+2960\,A\,a^{10}\,b^9\,c^4-16000\,A\,a^{11}\,b^7\,c^5+48640\,A\,a^{12}\,b^5\,c^6-78848\,A\,a^{13}\,b^3\,c^7-4\,B\,a^9\,b^{12}\,c^2+104\,B\,a^{10}\,b^{10}\,c^3-1120\,B\,a^{11}\,b^8\,c^4+6400\,B\,a^{12}\,b^6\,c^5-20480\,B\,a^{13}\,b^4\,c^6+34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(24576\,B\,a^{15}\,c^8+\sqrt{x}\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-53248\,A\,a^{14}\,b\,c^8-12\,A\,a^8\,b^{13}\,c^2+292\,A\,a^9\,b^{11}\,c^3-2960\,A\,a^{10}\,b^9\,c^4+16000\,A\,a^{11}\,b^7\,c^5-48640\,A\,a^{12}\,b^5\,c^6+78848\,A\,a^{13}\,b^3\,c^7+4\,B\,a^9\,b^{12}\,c^2-104\,B\,a^{10}\,b^{10}\,c^3+1120\,B\,a^{11}\,b^8\,c^4-6400\,B\,a^{12}\,b^6\,c^5+20480\,B\,a^{13}\,b^4\,c^6-34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-24576\,B\,a^{15}\,c^8+53248\,A\,a^{14}\,b\,c^8+12\,A\,a^8\,b^{13}\,c^2-292\,A\,a^9\,b^{11}\,c^3+2960\,A\,a^{10}\,b^9\,c^4-16000\,A\,a^{11}\,b^7\,c^5+48640\,A\,a^{12}\,b^5\,c^6-78848\,A\,a^{13}\,b^3\,c^7-4\,B\,a^9\,b^{12}\,c^2+104\,B\,a^{10}\,b^{10}\,c^3-1120\,B\,a^{11}\,b^8\,c^4+6400\,B\,a^{12}\,b^6\,c^5-20480\,B\,a^{13}\,b^4\,c^6+34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}-\left(\sqrt{x}\,\left(25600\,A^2\,a^{12}\,c^9-57344\,A^2\,a^{11}\,b^2\,c^8+45696\,A^2\,a^{10}\,b^4\,c^7-17920\,A^2\,a^9\,b^6\,c^6+3764\,A^2\,a^8\,b^8\,c^5-408\,A^2\,a^7\,b^{10}\,c^4+18\,A^2\,a^6\,b^{12}\,c^3+29696\,A\,B\,a^{12}\,b\,c^8-31744\,A\,B\,a^{11}\,b^3\,c^7+13440\,A\,B\,a^{10}\,b^5\,c^6-2816\,A\,B\,a^9\,b^7\,c^5+292\,A\,B\,a^8\,b^9\,c^4-12\,A\,B\,a^7\,b^{11}\,c^3-9216\,B^2\,a^{13}\,c^8+8704\,B^2\,a^{12}\,b^2\,c^7-3200\,B^2\,a^{11}\,b^4\,c^6+576\,B^2\,a^{10}\,b^6\,c^5-52\,B^2\,a^9\,b^8\,c^4+2\,B^2\,a^8\,b^{10}\,c^3\right)+\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(24576\,B\,a^{15}\,c^8+\sqrt{x}\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(32768\,a^{16}\,b\,c^8-49152\,a^{15}\,b^3\,c^7+30720\,a^{14}\,b^5\,c^6-10240\,a^{13}\,b^7\,c^5+1920\,a^{12}\,b^9\,c^4-192\,a^{11}\,b^{11}\,c^3+8\,a^{10}\,b^{13}\,c^2\right)-53248\,A\,a^{14}\,b\,c^8-12\,A\,a^8\,b^{13}\,c^2+292\,A\,a^9\,b^{11}\,c^3-2960\,A\,a^{10}\,b^9\,c^4+16000\,A\,a^{11}\,b^7\,c^5-48640\,A\,a^{12}\,b^5\,c^6+78848\,A\,a^{13}\,b^3\,c^7+4\,B\,a^9\,b^{12}\,c^2-104\,B\,a^{10}\,b^{10}\,c^3+1120\,B\,a^{11}\,b^8\,c^4-6400\,B\,a^{12}\,b^6\,c^5+20480\,B\,a^{13}\,b^4\,c^6-34816\,B\,a^{14}\,b^2\,c^7\right)\right)\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+32000\,A^3\,a^{10}\,c^9+126\,A^3\,a^6\,b^8\,c^5-2028\,A^3\,a^7\,b^6\,c^6+12176\,A^3\,a^8\,b^4\,c^7-32320\,A^3\,a^9\,b^2\,c^8-10\,B^3\,a^8\,b^7\,c^4+152\,B^3\,a^9\,b^5\,c^5-736\,B^3\,a^{10}\,b^3\,c^6+11520\,A\,B^2\,a^{11}\,c^8+1152\,B^3\,a^{11}\,b\,c^7-21120\,A^2\,B\,a^{10}\,b\,c^8+60\,A\,B^2\,a^7\,b^8\,c^4-948\,A\,B^2\,a^8\,b^6\,c^5+5424\,A\,B^2\,a^9\,b^4\,c^6-13248\,A\,B^2\,a^{10}\,b^2\,c^7-90\,A^2\,B\,a^6\,b^9\,c^4+1434\,A^2\,B\,a^7\,b^7\,c^5-8472\,A^2\,B\,a^8\,b^5\,c^6+21984\,A^2\,B\,a^9\,b^3\,c^7}\right)\,\sqrt{\frac{9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-B^2\,a^2\,b^{11}-9\,A^2\,b^{13}+6\,A\,B\,a\,b^{12}-2077\,A^2\,a^2\,b^9\,c^2+10656\,A^2\,a^3\,b^7\,c^3-30240\,A^2\,a^4\,b^5\,c^4+44800\,A^2\,a^5\,b^3\,c^5+25\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-288\,B^2\,a^4\,b^7\,c^2+1504\,B^2\,a^5\,b^5\,c^3-3840\,B^2\,a^6\,b^3\,c^4+15360\,A\,B\,a^7\,c^6+213\,A^2\,a\,b^{11}\,c-26880\,A^2\,a^6\,b\,c^6+27\,B^2\,a^3\,b^9\,c+3840\,B^2\,a^7\,b\,c^5-9\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1548\,A\,B\,a^3\,b^8\,c^2-8064\,A\,B\,a^4\,b^6\,c^3+22400\,A\,B\,a^5\,b^4\,c^4-30720\,A\,B\,a^6\,b^2\,c^5-51\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-152\,A\,B\,a^2\,b^{10}\,c+44\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"- ((2*A)/a - (x*(3*A*b^3 - B*a*b^2 + 2*B*a^2*c - 11*A*a*b*c))/(a^2*(4*a*c - b^2)) + (c*x^2*(10*A*a*c - 3*A*b^2 + B*a*b))/(a^2*(4*a*c - b^2)))/(a*x^(1/2) + b*x^(3/2) + c*x^(5/2)) - atan(((x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + (-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(x^(1/2)*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 24576*B*a^15*c^8 + 53248*A*a^14*b*c^8 + 12*A*a^8*b^13*c^2 - 292*A*a^9*b^11*c^3 + 2960*A*a^10*b^9*c^4 - 16000*A*a^11*b^7*c^5 + 48640*A*a^12*b^5*c^6 - 78848*A*a^13*b^3*c^7 - 4*B*a^9*b^12*c^2 + 104*B*a^10*b^10*c^3 - 1120*B*a^11*b^8*c^4 + 6400*B*a^12*b^6*c^5 - 20480*B*a^13*b^4*c^6 + 34816*B*a^14*b^2*c^7))*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i + (x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + (-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(24576*B*a^15*c^8 + x^(1/2)*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 53248*A*a^14*b*c^8 - 12*A*a^8*b^13*c^2 + 292*A*a^9*b^11*c^3 - 2960*A*a^10*b^9*c^4 + 16000*A*a^11*b^7*c^5 - 48640*A*a^12*b^5*c^6 + 78848*A*a^13*b^3*c^7 + 4*B*a^9*b^12*c^2 - 104*B*a^10*b^10*c^3 + 1120*B*a^11*b^8*c^4 - 6400*B*a^12*b^6*c^5 + 20480*B*a^13*b^4*c^6 - 34816*B*a^14*b^2*c^7))*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i)/((x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + (-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(x^(1/2)*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 24576*B*a^15*c^8 + 53248*A*a^14*b*c^8 + 12*A*a^8*b^13*c^2 - 292*A*a^9*b^11*c^3 + 2960*A*a^10*b^9*c^4 - 16000*A*a^11*b^7*c^5 + 48640*A*a^12*b^5*c^6 - 78848*A*a^13*b^3*c^7 - 4*B*a^9*b^12*c^2 + 104*B*a^10*b^10*c^3 - 1120*B*a^11*b^8*c^4 + 6400*B*a^12*b^6*c^5 - 20480*B*a^13*b^4*c^6 + 34816*B*a^14*b^2*c^7))*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) - (x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + (-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(24576*B*a^15*c^8 + x^(1/2)*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 53248*A*a^14*b*c^8 - 12*A*a^8*b^13*c^2 + 292*A*a^9*b^11*c^3 - 2960*A*a^10*b^9*c^4 + 16000*A*a^11*b^7*c^5 - 48640*A*a^12*b^5*c^6 + 78848*A*a^13*b^3*c^7 + 4*B*a^9*b^12*c^2 - 104*B*a^10*b^10*c^3 + 1120*B*a^11*b^8*c^4 - 6400*B*a^12*b^6*c^5 + 20480*B*a^13*b^4*c^6 - 34816*B*a^14*b^2*c^7))*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + 32000*A^3*a^10*c^9 + 126*A^3*a^6*b^8*c^5 - 2028*A^3*a^7*b^6*c^6 + 12176*A^3*a^8*b^4*c^7 - 32320*A^3*a^9*b^2*c^8 - 10*B^3*a^8*b^7*c^4 + 152*B^3*a^9*b^5*c^5 - 736*B^3*a^10*b^3*c^6 + 11520*A*B^2*a^11*c^8 + 1152*B^3*a^11*b*c^7 - 21120*A^2*B*a^10*b*c^8 + 60*A*B^2*a^7*b^8*c^4 - 948*A*B^2*a^8*b^6*c^5 + 5424*A*B^2*a^9*b^4*c^6 - 13248*A*B^2*a^10*b^2*c^7 - 90*A^2*B*a^6*b^9*c^4 + 1434*A^2*B*a^7*b^7*c^5 - 8472*A^2*B*a^8*b^5*c^6 + 21984*A^2*B*a^9*b^3*c^7))*(-(9*A^2*b^13 + B^2*a^2*b^11 + 9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^12 + 2077*A^2*a^2*b^9*c^2 - 10656*A^2*a^3*b^7*c^3 + 30240*A^2*a^4*b^5*c^4 - 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) + 288*B^2*a^4*b^7*c^2 - 1504*B^2*a^5*b^5*c^3 + 3840*B^2*a^6*b^3*c^4 - 15360*A*B*a^7*c^6 - 213*A^2*a*b^11*c + 26880*A^2*a^6*b*c^6 - 27*B^2*a^3*b^9*c - 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) - 1548*A*B*a^3*b^8*c^2 + 8064*A*B*a^4*b^6*c^3 - 22400*A*B*a^5*b^4*c^4 + 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) + 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*2i - atan(((x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + ((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(x^(1/2)*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 24576*B*a^15*c^8 + 53248*A*a^14*b*c^8 + 12*A*a^8*b^13*c^2 - 292*A*a^9*b^11*c^3 + 2960*A*a^10*b^9*c^4 - 16000*A*a^11*b^7*c^5 + 48640*A*a^12*b^5*c^6 - 78848*A*a^13*b^3*c^7 - 4*B*a^9*b^12*c^2 + 104*B*a^10*b^10*c^3 - 1120*B*a^11*b^8*c^4 + 6400*B*a^12*b^6*c^5 - 20480*B*a^13*b^4*c^6 + 34816*B*a^14*b^2*c^7))*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i + (x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + ((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(24576*B*a^15*c^8 + x^(1/2)*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 53248*A*a^14*b*c^8 - 12*A*a^8*b^13*c^2 + 292*A*a^9*b^11*c^3 - 2960*A*a^10*b^9*c^4 + 16000*A*a^11*b^7*c^5 - 48640*A*a^12*b^5*c^6 + 78848*A*a^13*b^3*c^7 + 4*B*a^9*b^12*c^2 - 104*B*a^10*b^10*c^3 + 1120*B*a^11*b^8*c^4 - 6400*B*a^12*b^6*c^5 + 20480*B*a^13*b^4*c^6 - 34816*B*a^14*b^2*c^7))*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i)/((x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + ((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(x^(1/2)*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 24576*B*a^15*c^8 + 53248*A*a^14*b*c^8 + 12*A*a^8*b^13*c^2 - 292*A*a^9*b^11*c^3 + 2960*A*a^10*b^9*c^4 - 16000*A*a^11*b^7*c^5 + 48640*A*a^12*b^5*c^6 - 78848*A*a^13*b^3*c^7 - 4*B*a^9*b^12*c^2 + 104*B*a^10*b^10*c^3 - 1120*B*a^11*b^8*c^4 + 6400*B*a^12*b^6*c^5 - 20480*B*a^13*b^4*c^6 + 34816*B*a^14*b^2*c^7))*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) - (x^(1/2)*(25600*A^2*a^12*c^9 - 9216*B^2*a^13*c^8 + 18*A^2*a^6*b^12*c^3 - 408*A^2*a^7*b^10*c^4 + 3764*A^2*a^8*b^8*c^5 - 17920*A^2*a^9*b^6*c^6 + 45696*A^2*a^10*b^4*c^7 - 57344*A^2*a^11*b^2*c^8 + 2*B^2*a^8*b^10*c^3 - 52*B^2*a^9*b^8*c^4 + 576*B^2*a^10*b^6*c^5 - 3200*B^2*a^11*b^4*c^6 + 8704*B^2*a^12*b^2*c^7 - 12*A*B*a^7*b^11*c^3 + 292*A*B*a^8*b^9*c^4 - 2816*A*B*a^9*b^7*c^5 + 13440*A*B*a^10*b^5*c^6 - 31744*A*B*a^11*b^3*c^7 + 29696*A*B*a^12*b*c^8) + ((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(24576*B*a^15*c^8 + x^(1/2)*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(32768*a^16*b*c^8 + 8*a^10*b^13*c^2 - 192*a^11*b^11*c^3 + 1920*a^12*b^9*c^4 - 10240*a^13*b^7*c^5 + 30720*a^14*b^5*c^6 - 49152*a^15*b^3*c^7) - 53248*A*a^14*b*c^8 - 12*A*a^8*b^13*c^2 + 292*A*a^9*b^11*c^3 - 2960*A*a^10*b^9*c^4 + 16000*A*a^11*b^7*c^5 - 48640*A*a^12*b^5*c^6 + 78848*A*a^13*b^3*c^7 + 4*B*a^9*b^12*c^2 - 104*B*a^10*b^10*c^3 + 1120*B*a^11*b^8*c^4 - 6400*B*a^12*b^6*c^5 + 20480*B*a^13*b^4*c^6 - 34816*B*a^14*b^2*c^7))*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + 32000*A^3*a^10*c^9 + 126*A^3*a^6*b^8*c^5 - 2028*A^3*a^7*b^6*c^6 + 12176*A^3*a^8*b^4*c^7 - 32320*A^3*a^9*b^2*c^8 - 10*B^3*a^8*b^7*c^4 + 152*B^3*a^9*b^5*c^5 - 736*B^3*a^10*b^3*c^6 + 11520*A*B^2*a^11*c^8 + 1152*B^3*a^11*b*c^7 - 21120*A^2*B*a^10*b*c^8 + 60*A*B^2*a^7*b^8*c^4 - 948*A*B^2*a^8*b^6*c^5 + 5424*A*B^2*a^9*b^4*c^6 - 13248*A*B^2*a^10*b^2*c^7 - 90*A^2*B*a^6*b^9*c^4 + 1434*A^2*B*a^7*b^7*c^5 - 8472*A^2*B*a^8*b^5*c^6 + 21984*A^2*B*a^9*b^3*c^7))*((9*A^2*b^4*(-(4*a*c - b^2)^9)^(1/2) - B^2*a^2*b^11 - 9*A^2*b^13 + 6*A*B*a*b^12 - 2077*A^2*a^2*b^9*c^2 + 10656*A^2*a^3*b^7*c^3 - 30240*A^2*a^4*b^5*c^4 + 44800*A^2*a^5*b^3*c^5 + 25*A^2*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^9)^(1/2) - 288*B^2*a^4*b^7*c^2 + 1504*B^2*a^5*b^5*c^3 - 3840*B^2*a^6*b^3*c^4 + 15360*A*B*a^7*c^6 + 213*A^2*a*b^11*c - 26880*A^2*a^6*b*c^6 + 27*B^2*a^3*b^9*c + 3840*B^2*a^7*b*c^5 - 9*B^2*a^3*c*(-(4*a*c - b^2)^9)^(1/2) + 1548*A*B*a^3*b^8*c^2 - 8064*A*B*a^4*b^6*c^3 + 22400*A*B*a^5*b^4*c^4 - 30720*A*B*a^6*b^2*c^5 - 51*A^2*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^9)^(1/2) - 152*A*B*a^2*b^10*c + 44*A*B*a^2*b*c*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*2i","B"
1022,1,21585,521,6.804324,"\text{Not used}","int((A + B*x)/(x^(5/2)*(a + b*x + c*x^2)^2),x)","-\frac{\frac{2\,A}{3\,a}-\frac{2\,x\,\left(5\,A\,b-3\,B\,a\right)}{3\,a^2}+\frac{x^2\,\left(33\,B\,a^2\,b\,c+14\,A\,a^2\,c^2-9\,B\,a\,b^3-62\,A\,a\,b^2\,c+15\,A\,b^4\right)}{3\,a^3\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^3\,\left(10\,B\,c\,a^2-3\,B\,a\,b^2-19\,A\,c\,a\,b+5\,A\,b^3\right)}{a^3\,\left(4\,a\,c-b^2\right)}}{a\,x^{3/2}+b\,x^{5/2}+c\,x^{7/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)-57344\,A\,a^{19}\,c^9-53248\,B\,a^{19}\,b\,c^8+20\,A\,a^{12}\,b^{14}\,c^2-496\,A\,a^{13}\,b^{12}\,c^3+5176\,A\,a^{14}\,b^{10}\,c^4-29280\,A\,a^{15}\,b^8\,c^5+96000\,A\,a^{16}\,b^6\,c^6-179200\,A\,a^{17}\,b^4\,c^7+169984\,A\,a^{18}\,b^2\,c^8-12\,B\,a^{13}\,b^{13}\,c^2+292\,B\,a^{14}\,b^{11}\,c^3-2960\,B\,a^{15}\,b^9\,c^4+16000\,B\,a^{16}\,b^7\,c^5-48640\,B\,a^{17}\,b^5\,c^6+78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)+57344\,A\,a^{19}\,c^9+53248\,B\,a^{19}\,b\,c^8-20\,A\,a^{12}\,b^{14}\,c^2+496\,A\,a^{13}\,b^{12}\,c^3-5176\,A\,a^{14}\,b^{10}\,c^4+29280\,A\,a^{15}\,b^8\,c^5-96000\,A\,a^{16}\,b^6\,c^6+179200\,A\,a^{17}\,b^4\,c^7-169984\,A\,a^{18}\,b^2\,c^8+12\,B\,a^{13}\,b^{13}\,c^2-292\,B\,a^{14}\,b^{11}\,c^3+2960\,B\,a^{15}\,b^9\,c^4-16000\,B\,a^{16}\,b^7\,c^5+48640\,B\,a^{17}\,b^5\,c^6-78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)+57344\,A\,a^{19}\,c^9+53248\,B\,a^{19}\,b\,c^8-20\,A\,a^{12}\,b^{14}\,c^2+496\,A\,a^{13}\,b^{12}\,c^3-5176\,A\,a^{14}\,b^{10}\,c^4+29280\,A\,a^{15}\,b^8\,c^5-96000\,A\,a^{16}\,b^6\,c^6+179200\,A\,a^{17}\,b^4\,c^7-169984\,A\,a^{18}\,b^2\,c^8+12\,B\,a^{13}\,b^{13}\,c^2-292\,B\,a^{14}\,b^{11}\,c^3+2960\,B\,a^{15}\,b^9\,c^4-16000\,B\,a^{16}\,b^7\,c^5+48640\,B\,a^{17}\,b^5\,c^6-78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}-\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)-57344\,A\,a^{19}\,c^9-53248\,B\,a^{19}\,b\,c^8+20\,A\,a^{12}\,b^{14}\,c^2-496\,A\,a^{13}\,b^{12}\,c^3+5176\,A\,a^{14}\,b^{10}\,c^4-29280\,A\,a^{15}\,b^8\,c^5+96000\,A\,a^{16}\,b^6\,c^6-179200\,A\,a^{17}\,b^4\,c^7+169984\,A\,a^{18}\,b^2\,c^8-12\,B\,a^{13}\,b^{13}\,c^2+292\,B\,a^{14}\,b^{11}\,c^3-2960\,B\,a^{15}\,b^9\,c^4+16000\,B\,a^{16}\,b^7\,c^5-48640\,B\,a^{17}\,b^5\,c^6+78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}+32000\,B^3\,a^{15}\,c^9-450\,A^3\,a^9\,b^9\,c^6+7270\,A^3\,a^{10}\,b^7\,c^7-44008\,A^3\,a^{11}\,b^5\,c^8+118304\,A^3\,a^{12}\,b^3\,c^9+126\,B^3\,a^{11}\,b^8\,c^5-2028\,B^3\,a^{12}\,b^6\,c^6+12176\,B^3\,a^{13}\,b^4\,c^7-32320\,B^3\,a^{14}\,b^2\,c^8+62720\,A^2\,B\,a^{14}\,c^{10}-119168\,A^3\,a^{13}\,b\,c^{10}-110720\,A\,B^2\,a^{14}\,b\,c^9-420\,A\,B^2\,a^{10}\,b^9\,c^5+6794\,A\,B^2\,a^{11}\,b^7\,c^6-41112\,A\,B^2\,a^{12}\,b^5\,c^7+110304\,A\,B^2\,a^{13}\,b^3\,c^8+350\,A^2\,B\,a^9\,b^{10}\,c^5-5420\,A^2\,B\,a^{10}\,b^8\,c^6+30412\,A^2\,B\,a^{11}\,b^6\,c^7-68816\,A^2\,B\,a^{12}\,b^4\,c^8+30272\,A^2\,B\,a^{13}\,b^2\,c^9}\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6+49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5-25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6-246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6+165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c-184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)-57344\,A\,a^{19}\,c^9-53248\,B\,a^{19}\,b\,c^8+20\,A\,a^{12}\,b^{14}\,c^2-496\,A\,a^{13}\,b^{12}\,c^3+5176\,A\,a^{14}\,b^{10}\,c^4-29280\,A\,a^{15}\,b^8\,c^5+96000\,A\,a^{16}\,b^6\,c^6-179200\,A\,a^{17}\,b^4\,c^7+169984\,A\,a^{18}\,b^2\,c^8-12\,B\,a^{13}\,b^{13}\,c^2+292\,B\,a^{14}\,b^{11}\,c^3-2960\,B\,a^{15}\,b^9\,c^4+16000\,B\,a^{16}\,b^7\,c^5-48640\,B\,a^{17}\,b^5\,c^6+78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)+57344\,A\,a^{19}\,c^9+53248\,B\,a^{19}\,b\,c^8-20\,A\,a^{12}\,b^{14}\,c^2+496\,A\,a^{13}\,b^{12}\,c^3-5176\,A\,a^{14}\,b^{10}\,c^4+29280\,A\,a^{15}\,b^8\,c^5-96000\,A\,a^{16}\,b^6\,c^6+179200\,A\,a^{17}\,b^4\,c^7-169984\,A\,a^{18}\,b^2\,c^8+12\,B\,a^{13}\,b^{13}\,c^2-292\,B\,a^{14}\,b^{11}\,c^3+2960\,B\,a^{15}\,b^9\,c^4-16000\,B\,a^{16}\,b^7\,c^5+48640\,B\,a^{17}\,b^5\,c^6-78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)+57344\,A\,a^{19}\,c^9+53248\,B\,a^{19}\,b\,c^8-20\,A\,a^{12}\,b^{14}\,c^2+496\,A\,a^{13}\,b^{12}\,c^3-5176\,A\,a^{14}\,b^{10}\,c^4+29280\,A\,a^{15}\,b^8\,c^5-96000\,A\,a^{16}\,b^6\,c^6+179200\,A\,a^{17}\,b^4\,c^7-169984\,A\,a^{18}\,b^2\,c^8+12\,B\,a^{13}\,b^{13}\,c^2-292\,B\,a^{14}\,b^{11}\,c^3+2960\,B\,a^{15}\,b^9\,c^4-16000\,B\,a^{16}\,b^7\,c^5+48640\,B\,a^{17}\,b^5\,c^6-78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}-\left(\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(32768\,a^{21}\,b\,c^8-49152\,a^{20}\,b^3\,c^7+30720\,a^{19}\,b^5\,c^6-10240\,a^{18}\,b^7\,c^5+1920\,a^{17}\,b^9\,c^4-192\,a^{16}\,b^{11}\,c^3+8\,a^{15}\,b^{13}\,c^2\right)-57344\,A\,a^{19}\,c^9-53248\,B\,a^{19}\,b\,c^8+20\,A\,a^{12}\,b^{14}\,c^2-496\,A\,a^{13}\,b^{12}\,c^3+5176\,A\,a^{14}\,b^{10}\,c^4-29280\,A\,a^{15}\,b^8\,c^5+96000\,A\,a^{16}\,b^6\,c^6-179200\,A\,a^{17}\,b^4\,c^7+169984\,A\,a^{18}\,b^2\,c^8-12\,B\,a^{13}\,b^{13}\,c^2+292\,B\,a^{14}\,b^{11}\,c^3-2960\,B\,a^{15}\,b^9\,c^4+16000\,B\,a^{16}\,b^7\,c^5-48640\,B\,a^{17}\,b^5\,c^6+78848\,B\,a^{18}\,b^3\,c^7\right)-\sqrt{x}\,\left(50176\,A^2\,a^{16}\,c^{10}-233984\,A^2\,a^{15}\,b^2\,c^9+300160\,A^2\,a^{14}\,b^4\,c^8-182336\,A^2\,a^{13}\,b^6\,c^7+61012\,A^2\,a^{12}\,b^8\,c^6-11602\,A^2\,a^{11}\,b^{10}\,c^5+1180\,A^2\,a^{10}\,b^{12}\,c^4-50\,A^2\,a^9\,b^{14}\,c^3+154624\,A\,B\,a^{16}\,b\,c^9-265216\,A\,B\,a^{15}\,b^3\,c^8+183680\,A\,B\,a^{14}\,b^5\,c^7-66304\,A\,B\,a^{13}\,b^7\,c^6+13228\,A\,B\,a^{12}\,b^9\,c^5-1388\,A\,B\,a^{11}\,b^{11}\,c^4+60\,A\,B\,a^{10}\,b^{13}\,c^3-25600\,B^2\,a^{17}\,c^9+57344\,B^2\,a^{16}\,b^2\,c^8-45696\,B^2\,a^{15}\,b^4\,c^7+17920\,B^2\,a^{14}\,b^6\,c^6-3764\,B^2\,a^{13}\,b^8\,c^5+408\,B^2\,a^{12}\,b^{10}\,c^4-18\,B^2\,a^{11}\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}+32000\,B^3\,a^{15}\,c^9-450\,A^3\,a^9\,b^9\,c^6+7270\,A^3\,a^{10}\,b^7\,c^7-44008\,A^3\,a^{11}\,b^5\,c^8+118304\,A^3\,a^{12}\,b^3\,c^9+126\,B^3\,a^{11}\,b^8\,c^5-2028\,B^3\,a^{12}\,b^6\,c^6+12176\,B^3\,a^{13}\,b^4\,c^7-32320\,B^3\,a^{14}\,b^2\,c^8+62720\,A^2\,B\,a^{14}\,c^{10}-119168\,A^3\,a^{13}\,b\,c^{10}-110720\,A\,B^2\,a^{14}\,b\,c^9-420\,A\,B^2\,a^{10}\,b^9\,c^5+6794\,A\,B^2\,a^{11}\,b^7\,c^6-41112\,A\,B^2\,a^{12}\,b^5\,c^7+110304\,A\,B^2\,a^{13}\,b^3\,c^8+350\,A^2\,B\,a^9\,b^{10}\,c^5-5420\,A^2\,B\,a^{10}\,b^8\,c^6+30412\,A^2\,B\,a^{11}\,b^6\,c^7-68816\,A^2\,B\,a^{12}\,b^4\,c^8+30272\,A^2\,B\,a^{13}\,b^2\,c^9}\right)\,\sqrt{-\frac{25\,A^2\,b^{15}+9\,B^2\,a^2\,b^{13}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^{14}+6366\,A^2\,a^2\,b^{11}\,c^2-35767\,A^2\,a^3\,b^9\,c^3+116928\,A^2\,a^4\,b^7\,c^4-219744\,A^2\,a^5\,b^5\,c^5+215040\,A^2\,a^6\,b^3\,c^6-49\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+9\,B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2077\,B^2\,a^4\,b^9\,c^2-10656\,B^2\,a^5\,b^7\,c^3+30240\,B^2\,a^6\,b^5\,c^4-44800\,B^2\,a^7\,b^3\,c^5+25\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+35840\,A\,B\,a^8\,c^7-615\,A^2\,a\,b^{13}\,c-80640\,A^2\,a^7\,b\,c^7-213\,B^2\,a^3\,b^{11}\,c+26880\,B^2\,a^8\,b\,c^6+246\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-7278\,A\,B\,a^3\,b^{10}\,c^2+39132\,A\,B\,a^4\,b^8\,c^3-119616\,A\,B\,a^5\,b^6\,c^4+201600\,A\,B\,a^6\,b^4\,c^5-161280\,A\,B\,a^7\,b^2\,c^6-165\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-51\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-30\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+724\,A\,B\,a^2\,b^{12}\,c+184\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-186\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{8\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"- ((2*A)/(3*a) - (2*x*(5*A*b - 3*B*a))/(3*a^2) + (x^2*(15*A*b^4 + 14*A*a^2*c^2 - 9*B*a*b^3 - 62*A*a*b^2*c + 33*B*a^2*b*c))/(3*a^3*(4*a*c - b^2)) + (c*x^3*(5*A*b^3 - 3*B*a*b^2 + 10*B*a^2*c - 19*A*a*b*c))/(a^3*(4*a*c - b^2)))/(a*x^(3/2) + b*x^(5/2) + c*x^(7/2)) - atan((((-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) - 57344*A*a^19*c^9 - 53248*B*a^19*b*c^8 + 20*A*a^12*b^14*c^2 - 496*A*a^13*b^12*c^3 + 5176*A*a^14*b^10*c^4 - 29280*A*a^15*b^8*c^5 + 96000*A*a^16*b^6*c^6 - 179200*A*a^17*b^4*c^7 + 169984*A*a^18*b^2*c^8 - 12*B*a^13*b^13*c^2 + 292*B*a^14*b^11*c^3 - 2960*B*a^15*b^9*c^4 + 16000*B*a^16*b^7*c^5 - 48640*B*a^17*b^5*c^6 + 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i + ((-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) + 57344*A*a^19*c^9 + 53248*B*a^19*b*c^8 - 20*A*a^12*b^14*c^2 + 496*A*a^13*b^12*c^3 - 5176*A*a^14*b^10*c^4 + 29280*A*a^15*b^8*c^5 - 96000*A*a^16*b^6*c^6 + 179200*A*a^17*b^4*c^7 - 169984*A*a^18*b^2*c^8 + 12*B*a^13*b^13*c^2 - 292*B*a^14*b^11*c^3 + 2960*B*a^15*b^9*c^4 - 16000*B*a^16*b^7*c^5 + 48640*B*a^17*b^5*c^6 - 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i)/(((-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) + 57344*A*a^19*c^9 + 53248*B*a^19*b*c^8 - 20*A*a^12*b^14*c^2 + 496*A*a^13*b^12*c^3 - 5176*A*a^14*b^10*c^4 + 29280*A*a^15*b^8*c^5 - 96000*A*a^16*b^6*c^6 + 179200*A*a^17*b^4*c^7 - 169984*A*a^18*b^2*c^8 + 12*B*a^13*b^13*c^2 - 292*B*a^14*b^11*c^3 + 2960*B*a^15*b^9*c^4 - 16000*B*a^16*b^7*c^5 + 48640*B*a^17*b^5*c^6 - 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) - ((-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) - 57344*A*a^19*c^9 - 53248*B*a^19*b*c^8 + 20*A*a^12*b^14*c^2 - 496*A*a^13*b^12*c^3 + 5176*A*a^14*b^10*c^4 - 29280*A*a^15*b^8*c^5 + 96000*A*a^16*b^6*c^6 - 179200*A*a^17*b^4*c^7 + 169984*A*a^18*b^2*c^8 - 12*B*a^13*b^13*c^2 + 292*B*a^14*b^11*c^3 - 2960*B*a^15*b^9*c^4 + 16000*B*a^16*b^7*c^5 - 48640*B*a^17*b^5*c^6 + 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) + 32000*B^3*a^15*c^9 - 450*A^3*a^9*b^9*c^6 + 7270*A^3*a^10*b^7*c^7 - 44008*A^3*a^11*b^5*c^8 + 118304*A^3*a^12*b^3*c^9 + 126*B^3*a^11*b^8*c^5 - 2028*B^3*a^12*b^6*c^6 + 12176*B^3*a^13*b^4*c^7 - 32320*B^3*a^14*b^2*c^8 + 62720*A^2*B*a^14*c^10 - 119168*A^3*a^13*b*c^10 - 110720*A*B^2*a^14*b*c^9 - 420*A*B^2*a^10*b^9*c^5 + 6794*A*B^2*a^11*b^7*c^6 - 41112*A*B^2*a^12*b^5*c^7 + 110304*A*B^2*a^13*b^3*c^8 + 350*A^2*B*a^9*b^10*c^5 - 5420*A^2*B*a^10*b^8*c^6 + 30412*A^2*B*a^11*b^6*c^7 - 68816*A^2*B*a^12*b^4*c^8 + 30272*A^2*B*a^13*b^2*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 - 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 + 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 - 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 - 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 + 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) + 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) + 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c - 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) + 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*2i - atan((((-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) - 57344*A*a^19*c^9 - 53248*B*a^19*b*c^8 + 20*A*a^12*b^14*c^2 - 496*A*a^13*b^12*c^3 + 5176*A*a^14*b^10*c^4 - 29280*A*a^15*b^8*c^5 + 96000*A*a^16*b^6*c^6 - 179200*A*a^17*b^4*c^7 + 169984*A*a^18*b^2*c^8 - 12*B*a^13*b^13*c^2 + 292*B*a^14*b^11*c^3 - 2960*B*a^15*b^9*c^4 + 16000*B*a^16*b^7*c^5 - 48640*B*a^17*b^5*c^6 + 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i + ((-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) + 57344*A*a^19*c^9 + 53248*B*a^19*b*c^8 - 20*A*a^12*b^14*c^2 + 496*A*a^13*b^12*c^3 - 5176*A*a^14*b^10*c^4 + 29280*A*a^15*b^8*c^5 - 96000*A*a^16*b^6*c^6 + 179200*A*a^17*b^4*c^7 - 169984*A*a^18*b^2*c^8 + 12*B*a^13*b^13*c^2 - 292*B*a^14*b^11*c^3 + 2960*B*a^15*b^9*c^4 - 16000*B*a^16*b^7*c^5 + 48640*B*a^17*b^5*c^6 - 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i)/(((-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) + 57344*A*a^19*c^9 + 53248*B*a^19*b*c^8 - 20*A*a^12*b^14*c^2 + 496*A*a^13*b^12*c^3 - 5176*A*a^14*b^10*c^4 + 29280*A*a^15*b^8*c^5 - 96000*A*a^16*b^6*c^6 + 179200*A*a^17*b^4*c^7 - 169984*A*a^18*b^2*c^8 + 12*B*a^13*b^13*c^2 - 292*B*a^14*b^11*c^3 + 2960*B*a^15*b^9*c^4 - 16000*B*a^16*b^7*c^5 + 48640*B*a^17*b^5*c^6 - 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) - ((-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(x^(1/2)*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(32768*a^21*b*c^8 + 8*a^15*b^13*c^2 - 192*a^16*b^11*c^3 + 1920*a^17*b^9*c^4 - 10240*a^18*b^7*c^5 + 30720*a^19*b^5*c^6 - 49152*a^20*b^3*c^7) - 57344*A*a^19*c^9 - 53248*B*a^19*b*c^8 + 20*A*a^12*b^14*c^2 - 496*A*a^13*b^12*c^3 + 5176*A*a^14*b^10*c^4 - 29280*A*a^15*b^8*c^5 + 96000*A*a^16*b^6*c^6 - 179200*A*a^17*b^4*c^7 + 169984*A*a^18*b^2*c^8 - 12*B*a^13*b^13*c^2 + 292*B*a^14*b^11*c^3 - 2960*B*a^15*b^9*c^4 + 16000*B*a^16*b^7*c^5 - 48640*B*a^17*b^5*c^6 + 78848*B*a^18*b^3*c^7) - x^(1/2)*(50176*A^2*a^16*c^10 - 25600*B^2*a^17*c^9 - 50*A^2*a^9*b^14*c^3 + 1180*A^2*a^10*b^12*c^4 - 11602*A^2*a^11*b^10*c^5 + 61012*A^2*a^12*b^8*c^6 - 182336*A^2*a^13*b^6*c^7 + 300160*A^2*a^14*b^4*c^8 - 233984*A^2*a^15*b^2*c^9 - 18*B^2*a^11*b^12*c^3 + 408*B^2*a^12*b^10*c^4 - 3764*B^2*a^13*b^8*c^5 + 17920*B^2*a^14*b^6*c^6 - 45696*B^2*a^15*b^4*c^7 + 57344*B^2*a^16*b^2*c^8 + 60*A*B*a^10*b^13*c^3 - 1388*A*B*a^11*b^11*c^4 + 13228*A*B*a^12*b^9*c^5 - 66304*A*B*a^13*b^7*c^6 + 183680*A*B*a^14*b^5*c^7 - 265216*A*B*a^15*b^3*c^8 + 154624*A*B*a^16*b*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) + 32000*B^3*a^15*c^9 - 450*A^3*a^9*b^9*c^6 + 7270*A^3*a^10*b^7*c^7 - 44008*A^3*a^11*b^5*c^8 + 118304*A^3*a^12*b^3*c^9 + 126*B^3*a^11*b^8*c^5 - 2028*B^3*a^12*b^6*c^6 + 12176*B^3*a^13*b^4*c^7 - 32320*B^3*a^14*b^2*c^8 + 62720*A^2*B*a^14*c^10 - 119168*A^3*a^13*b*c^10 - 110720*A*B^2*a^14*b*c^9 - 420*A*B^2*a^10*b^9*c^5 + 6794*A*B^2*a^11*b^7*c^6 - 41112*A*B^2*a^12*b^5*c^7 + 110304*A*B^2*a^13*b^3*c^8 + 350*A^2*B*a^9*b^10*c^5 - 5420*A^2*B*a^10*b^8*c^6 + 30412*A^2*B*a^11*b^6*c^7 - 68816*A^2*B*a^12*b^4*c^8 + 30272*A^2*B*a^13*b^2*c^9))*(-(25*A^2*b^15 + 9*B^2*a^2*b^13 + 25*A^2*b^6*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^14 + 6366*A^2*a^2*b^11*c^2 - 35767*A^2*a^3*b^9*c^3 + 116928*A^2*a^4*b^7*c^4 - 219744*A^2*a^5*b^5*c^5 + 215040*A^2*a^6*b^3*c^6 - 49*A^2*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) + 9*B^2*a^2*b^4*(-(4*a*c - b^2)^9)^(1/2) + 2077*B^2*a^4*b^9*c^2 - 10656*B^2*a^5*b^7*c^3 + 30240*B^2*a^6*b^5*c^4 - 44800*B^2*a^7*b^3*c^5 + 25*B^2*a^4*c^2*(-(4*a*c - b^2)^9)^(1/2) + 35840*A*B*a^8*c^7 - 615*A^2*a*b^13*c - 80640*A^2*a^7*b*c^7 - 213*B^2*a^3*b^11*c + 26880*B^2*a^8*b*c^6 + 246*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 7278*A*B*a^3*b^10*c^2 + 39132*A*B*a^4*b^8*c^3 - 119616*A*B*a^5*b^6*c^4 + 201600*A*B*a^6*b^4*c^5 - 161280*A*B*a^7*b^2*c^6 - 165*A^2*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2) - 51*B^2*a^3*b^2*c*(-(4*a*c - b^2)^9)^(1/2) - 30*A*B*a*b^5*(-(4*a*c - b^2)^9)^(1/2) + 724*A*B*a^2*b^12*c + 184*A*B*a^2*b^3*c*(-(4*a*c - b^2)^9)^(1/2) - 186*A*B*a^3*b*c^2*(-(4*a*c - b^2)^9)^(1/2))/(8*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*2i","B"
1023,1,22943,528,5.961098,"\text{Not used}","int((x^(7/2)*(A + B*x))/(a + b*x + c*x^2)^3,x)","-\frac{\frac{x^{5/2}\,\left(-4\,B\,a^2\,b\,c^2+36\,A\,a^2\,c^3-20\,B\,a\,b^3\,c+5\,A\,a\,b^2\,c^2+3\,B\,b^5+A\,b^4\,c\right)}{4\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^{7/2}\,\left(44\,B\,a^2\,c^2-37\,B\,a\,b^2\,c+16\,A\,a\,b\,c^2+5\,B\,b^4-A\,b^3\,c\right)}{4\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^{3/2}\,\left(28\,B\,a^3\,c^2-49\,B\,a^2\,b^2\,c+28\,A\,a^2\,b\,c^2+6\,B\,a\,b^4+2\,A\,a\,b^3\,c\right)}{4\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a^2\,\sqrt{x}\,\left(3\,B\,b^3+A\,b^2\,c-24\,B\,a\,b\,c+20\,A\,a\,c^2\right)}{4\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\mathrm{atan}\left(\frac{\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}-\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}+\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9-99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2+6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2+9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8+A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}-25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\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c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}-\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}+\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}-\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}+\left(\left(\frac{1572864\,B\,a^7\,b\,c^9-1310720\,A\,a^7\,c^{10}-2162688\,B\,a^6\,b^3\,c^8+1572864\,A\,a^6\,b^2\,c^9+1228800\,B\,a^5\,b^5\,c^7-737280\,A\,a^5\,b^4\,c^8-368640\,B\,a^4\,b^7\,c^6+163840\,A\,a^4\,b^6\,c^7+61440\,B\,a^3\,b^9\,c^5-15360\,A\,a^3\,b^8\,c^6-5376\,B\,a^2\,b^{11}\,c^4+192\,B\,a\,b^{13}\,c^3+64\,A\,a\,b^{12}\,c^4}{64\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,\left(-65536\,a^5\,b\,c^{10}+81920\,a^4\,b^3\,c^9-40960\,a^3\,b^5\,c^8+10240\,a^2\,b^7\,c^7-1280\,a\,b^9\,c^6+64\,b^{11}\,c^5\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}+\frac{\sqrt{x}\,\left(800\,A^2\,a^4\,c^6+208\,A^2\,a^3\,b^2\,c^5+314\,A^2\,a^2\,b^4\,c^4-36\,A^2\,a\,b^6\,c^3+A^2\,b^8\,c^2+96\,A\,B\,a^4\,b\,c^5-4464\,A\,B\,a^3\,b^3\,c^4+1422\,A\,B\,a^2\,b^5\,c^3-174\,A\,B\,a\,b^7\,c^2+6\,A\,B\,b^9\,c-14112\,B^2\,a^5\,c^5+21312\,B^2\,a^4\,b^2\,c^4-9090\,B^2\,a^3\,b^4\,c^3+1881\,B^2\,a^2\,b^6\,c^2-198\,B^2\,a\,b^8\,c+9\,B^2\,b^{10}\right)}{8\,\left(256\,a^4\,c^7-256\,a^3\,b^2\,c^6+96\,a^2\,b^4\,c^5-16\,a\,b^6\,c^4+b^8\,c^3\right)}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}+\frac{6400\,A^3\,a^5\,b\,c^5+9456\,A^3\,a^4\,b^3\,c^4-1176\,A^3\,a^3\,b^5\,c^3+35\,A^3\,a^2\,b^7\,c^2-33600\,A^2\,B\,a^6\,c^5-126192\,A^2\,B\,a^5\,b^2\,c^4+42516\,A^2\,B\,a^4\,b^4\,c^3-5649\,A^2\,B\,a^3\,b^6\,c^2+210\,A^2\,B\,a^2\,b^8\,c+560448\,A\,B^2\,a^6\,b\,c^4-280800\,A\,B^2\,a^5\,b^3\,c^3+61524\,A\,B^2\,a^4\,b^5\,c^2-6552\,A\,B^2\,a^3\,b^7\,c+315\,A\,B^2\,a^2\,b^9-592704\,B^3\,a^7\,c^4+353808\,B^3\,a^6\,b^2\,c^3-89532\,B^3\,a^5\,b^4\,c^2+10935\,B^3\,a^4\,b^6\,c-567\,B^3\,a^3\,b^8}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\right)\,\sqrt{-\frac{9\,B^2\,b^{19}+A^2\,b^{17}\,c^2-9\,B^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{18}\,c+1140\,A^2\,a^2\,b^{13}\,c^4-10160\,A^2\,a^3\,b^{11}\,c^5+34880\,A^2\,a^4\,b^9\,c^6+43776\,A^2\,a^5\,b^7\,c^7-680960\,A^2\,a^6\,b^5\,c^8+1863680\,A^2\,a^7\,b^3\,c^9+6921\,B^2\,a^2\,b^{15}\,c^2-77580\,B^2\,a^3\,b^{13}\,c^3+570960\,B^2\,a^4\,b^{11}\,c^4-2851776\,B^2\,a^5\,b^9\,c^5+9628416\,B^2\,a^6\,b^7\,c^6-21095424\,B^2\,a^7\,b^5\,c^7+27095040\,B^2\,a^8\,b^3\,c^8-A^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-441\,B^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6881280\,A\,B\,a^9\,c^{10}-369\,B^2\,a\,b^{17}\,c-55\,A^2\,a\,b^{15}\,c^3-1720320\,A^2\,a^8\,b\,c^{10}+25\,A^2\,a\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-15482880\,B^2\,a^9\,b\,c^9+5580\,A\,B\,a^2\,b^{14}\,c^3-59280\,A\,B\,a^3\,b^{12}\,c^4+377280\,A\,B\,a^4\,b^{10}\,c^5-1430784\,A\,B\,a^5\,b^8\,c^6+2860032\,A\,B\,a^6\,b^6\,c^7-1290240\,A\,B\,a^7\,b^4\,c^8-5160960\,A\,B\,a^8\,b^2\,c^9+99\,B^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a\,b^{16}\,c^2-6\,A\,B\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+108\,A\,B\,a\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{10}\,c^{15}-2621440\,a^9\,b^2\,c^{14}+2949120\,a^8\,b^4\,c^{13}-1966080\,a^7\,b^6\,c^{12}+860160\,a^6\,b^8\,c^{11}-258048\,a^5\,b^{10}\,c^{10}+53760\,a^4\,b^{12}\,c^9-7680\,a^3\,b^{14}\,c^8+720\,a^2\,b^{16}\,c^7-40\,a\,b^{18}\,c^6+b^{20}\,c^5\right)}}\,2{}\mathrm{i}","Not used",1,"- ((x^(5/2)*(3*B*b^5 + 36*A*a^2*c^3 + A*b^4*c - 20*B*a*b^3*c + 5*A*a*b^2*c^2 - 4*B*a^2*b*c^2))/(4*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(7/2)*(5*B*b^4 + 44*B*a^2*c^2 - A*b^3*c + 16*A*a*b*c^2 - 37*B*a*b^2*c))/(4*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(3/2)*(28*B*a^3*c^2 + 6*B*a*b^4 + 2*A*a*b^3*c + 28*A*a^2*b*c^2 - 49*B*a^2*b^2*c))/(4*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a^2*x^(1/2)*(3*B*b^3 + 20*A*a*c^2 + A*b^2*c - 24*B*a*b*c))/(4*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - atan(((((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) - (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) - (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*1i - (((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) + (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*1i)/((((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) - (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) - (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) + (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (35*A^3*a^2*b^7*c^2 - 592704*B^3*a^7*c^4 - 567*B^3*a^3*b^8 - 1176*A^3*a^3*b^5*c^3 + 9456*A^3*a^4*b^3*c^4 - 89532*B^3*a^5*b^4*c^2 + 353808*B^3*a^6*b^2*c^3 + 315*A*B^2*a^2*b^9 - 33600*A^2*B*a^6*c^5 + 6400*A^3*a^5*b*c^5 + 10935*B^3*a^4*b^6*c - 6552*A*B^2*a^3*b^7*c + 560448*A*B^2*a^6*b*c^4 + 210*A^2*B*a^2*b^8*c + 61524*A*B^2*a^4*b^5*c^2 - 280800*A*B^2*a^5*b^3*c^3 - 5649*A^2*B*a^3*b^6*c^2 + 42516*A^2*B*a^4*b^4*c^3 - 126192*A^2*B*a^5*b^2*c^4)/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8))))*(-(9*B^2*b^19 + A^2*b^17*c^2 + 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 + A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 - 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 - 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 + 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*2i - atan(((((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) - (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) - (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*1i - (((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) + (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*1i)/((((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) - (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) - (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (((64*A*a*b^12*c^4 - 1310720*A*a^7*c^10 + 192*B*a*b^13*c^3 + 1572864*B*a^7*b*c^9 - 15360*A*a^3*b^8*c^6 + 163840*A*a^4*b^6*c^7 - 737280*A*a^5*b^4*c^8 + 1572864*A*a^6*b^2*c^9 - 5376*B*a^2*b^11*c^4 + 61440*B*a^3*b^9*c^5 - 368640*B*a^4*b^7*c^6 + 1228800*B*a^5*b^5*c^7 - 2162688*B*a^6*b^3*c^8)/(64*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)) + (x^(1/2)*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*(64*b^11*c^5 - 1280*a*b^9*c^6 - 65536*a^5*b*c^10 + 10240*a^2*b^7*c^7 - 40960*a^3*b^5*c^8 + 81920*a^4*b^3*c^9))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (x^(1/2)*(9*B^2*b^10 + 800*A^2*a^4*c^6 + A^2*b^8*c^2 - 14112*B^2*a^5*c^5 + 6*A*B*b^9*c + 314*A^2*a^2*b^4*c^4 + 208*A^2*a^3*b^2*c^5 + 1881*B^2*a^2*b^6*c^2 - 9090*B^2*a^3*b^4*c^3 + 21312*B^2*a^4*b^2*c^4 - 198*B^2*a*b^8*c - 36*A^2*a*b^6*c^3 + 1422*A*B*a^2*b^5*c^3 - 4464*A*B*a^3*b^3*c^4 - 174*A*B*a*b^7*c^2 + 96*A*B*a^4*b*c^5))/(8*(256*a^4*c^7 + b^8*c^3 - 16*a*b^6*c^4 + 96*a^2*b^4*c^5 - 256*a^3*b^2*c^6)))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2) + (35*A^3*a^2*b^7*c^2 - 592704*B^3*a^7*c^4 - 567*B^3*a^3*b^8 - 1176*A^3*a^3*b^5*c^3 + 9456*A^3*a^4*b^3*c^4 - 89532*B^3*a^5*b^4*c^2 + 353808*B^3*a^6*b^2*c^3 + 315*A*B^2*a^2*b^9 - 33600*A^2*B*a^6*c^5 + 6400*A^3*a^5*b*c^5 + 10935*B^3*a^4*b^6*c - 6552*A*B^2*a^3*b^7*c + 560448*A*B^2*a^6*b*c^4 + 210*A^2*B*a^2*b^8*c + 61524*A*B^2*a^4*b^5*c^2 - 280800*A*B^2*a^5*b^3*c^3 - 5649*A^2*B*a^3*b^6*c^2 + 42516*A^2*B*a^4*b^4*c^3 - 126192*A^2*B*a^5*b^2*c^4)/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8))))*(-(9*B^2*b^19 + A^2*b^17*c^2 - 9*B^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^18*c + 1140*A^2*a^2*b^13*c^4 - 10160*A^2*a^3*b^11*c^5 + 34880*A^2*a^4*b^9*c^6 + 43776*A^2*a^5*b^7*c^7 - 680960*A^2*a^6*b^5*c^8 + 1863680*A^2*a^7*b^3*c^9 + 6921*B^2*a^2*b^15*c^2 - 77580*B^2*a^3*b^13*c^3 + 570960*B^2*a^4*b^11*c^4 - 2851776*B^2*a^5*b^9*c^5 + 9628416*B^2*a^6*b^7*c^6 - 21095424*B^2*a^7*b^5*c^7 + 27095040*B^2*a^8*b^3*c^8 - A^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 441*B^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + 6881280*A*B*a^9*c^10 - 369*B^2*a*b^17*c - 55*A^2*a*b^15*c^3 - 1720320*A^2*a^8*b*c^10 + 25*A^2*a*c^3*(-(4*a*c - b^2)^15)^(1/2) - 15482880*B^2*a^9*b*c^9 + 5580*A*B*a^2*b^14*c^3 - 59280*A*B*a^3*b^12*c^4 + 377280*A*B*a^4*b^10*c^5 - 1430784*A*B*a^5*b^8*c^6 + 2860032*A*B*a^6*b^6*c^7 - 1290240*A*B*a^7*b^4*c^8 - 5160960*A*B*a^8*b^2*c^9 + 99*B^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a*b^16*c^2 - 6*A*B*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 108*A*B*a*b*c^2*(-(4*a*c - b^2)^15)^(1/2))/(128*(1048576*a^10*c^15 + b^20*c^5 - 40*a*b^18*c^6 + 720*a^2*b^16*c^7 - 7680*a^3*b^14*c^8 + 53760*a^4*b^12*c^9 - 258048*a^5*b^10*c^10 + 860160*a^6*b^8*c^11 - 1966080*a^7*b^6*c^12 + 2949120*a^8*b^4*c^13 - 2621440*a^9*b^2*c^14)))^(1/2)*2i","B"
1024,1,19073,459,4.976291,"\text{Not used}","int((x^(5/2)*(A + B*x))/(a + b*x + c*x^2)^3,x)","-\frac{\frac{x^{5/2}\,\left(36\,B\,a^2\,c^2+5\,B\,a\,b^2\,c-16\,A\,a\,b\,c^2+B\,b^4-5\,A\,b^3\,c\right)}{4\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^{7/2}\,\left(B\,b^3+3\,A\,b^2\,c-16\,B\,a\,b\,c+12\,A\,a\,c^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^{3/2}\,\left(28\,B\,a^2\,b\,c+4\,A\,a^2\,c^2+2\,B\,a\,b^3-19\,A\,a\,b^2\,c\right)}{4\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{a^2\,\sqrt{x}\,\left(B\,b^2-12\,A\,c\,b+20\,B\,a\,c\right)}{4\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{1310720\,B\,a^7\,c^8-1572864\,B\,a^6\,b^2\,c^7-786432\,A\,a^6\,b\,c^8+737280\,B\,a^5\,b^4\,c^6+983040\,A\,a^5\,b^3\,c^7-163840\,B\,a^4\,b^6\,c^5-491520\,A\,a^4\,b^5\,c^6+15360\,B\,a^3\,b^8\,c^4+122880\,A\,a^3\,b^7\,c^5-15360\,A\,a^2\,b^9\,c^4-64\,B\,a\,b^{12}\,c^2+768\,A\,a\,b^{11}\,c^3}{64\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,\left(-65536\,a^5\,b\,c^8+81920\,a^4\,b^3\,c^7-40960\,a^3\,b^5\,c^6+10240\,a^2\,b^7\,c^5-1280\,a\,b^9\,c^4+64\,b^{11}\,c^3\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}-\frac{\sqrt{x}\,\left(-288\,A^2\,a^3\,c^5+576\,A^2\,a^2\,b^2\,c^4+126\,A^2\,a\,b^4\,c^3+9\,A^2\,b^6\,c^2-672\,A\,B\,a^3\,b\,c^4-816\,A\,B\,a^2\,b^3\,c^3-66\,A\,B\,a\,b^5\,c^2+6\,A\,B\,b^7\,c+800\,B^2\,a^4\,c^4+208\,B^2\,a^3\,b^2\,c^3+314\,B^2\,a^2\,b^4\,c^2-36\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{1310720\,B\,a^7\,c^8-1572864\,B\,a^6\,b^2\,c^7-786432\,A\,a^6\,b\,c^8+737280\,B\,a^5\,b^4\,c^6+983040\,A\,a^5\,b^3\,c^7-163840\,B\,a^4\,b^6\,c^5-491520\,A\,a^4\,b^5\,c^6+15360\,B\,a^3\,b^8\,c^4+122880\,A\,a^3\,b^7\,c^5-15360\,A\,a^2\,b^9\,c^4-64\,B\,a\,b^{12}\,c^2+768\,A\,a\,b^{11}\,c^3}{64\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,\left(-65536\,a^5\,b\,c^8+81920\,a^4\,b^3\,c^7-40960\,a^3\,b^5\,c^6+10240\,a^2\,b^7\,c^5-1280\,a\,b^9\,c^4+64\,b^{11}\,c^3\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}+\frac{\sqrt{x}\,\left(-288\,A^2\,a^3\,c^5+576\,A^2\,a^2\,b^2\,c^4+126\,A^2\,a\,b^4\,c^3+9\,A^2\,b^6\,c^2-672\,A\,B\,a^3\,b\,c^4-816\,A\,B\,a^2\,b^3\,c^3-66\,A\,B\,a\,b^5\,c^2+6\,A\,B\,b^7\,c+800\,B^2\,a^4\,c^4+208\,B^2\,a^3\,b^2\,c^3+314\,B^2\,a^2\,b^4\,c^2-36\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2+9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c-25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8+6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,1{}\mathrm{i}}{\frac{1728\,A^3\,a^4\,c^5+4752\,A^3\,a^3\,b^2\,c^4+1620\,A^3\,a^2\,b^4\,c^3+135\,A^3\,a\,b^6\,c^2-15552\,A^2\,B\,a^4\,b\,c^4-13248\,A^2\,B\,a^3\,b^3\,c^3-1260\,A^2\,B\,a^2\,b^5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\,A^3\,a\,b^6\,c^2-15552\,A^2\,B\,a^4\,b\,c^4-13248\,A^2\,B\,a^3\,b^3\,c^3-1260\,A^2\,B\,a^2\,b^5\,c^2+90\,A^2\,B\,a\,b^7\,c+4800\,A\,B^2\,a^5\,c^4+26256\,A\,B^2\,a^4\,b^2\,c^3+6084\,A\,B^2\,a^3\,b^4\,c^2-705\,A\,B^2\,a^2\,b^6\,c+15\,A\,B^2\,a\,b^8-6400\,B^3\,a^5\,b\,c^3-9456\,B^3\,a^4\,b^3\,c^2+1176\,B^3\,a^3\,b^5\,c-35\,B^3\,a^2\,b^7}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}+\left(\left(\frac{1310720\,B\,a^7\,c^8-1572864\,B\,a^6\,b^2\,c^7-786432\,A\,a^6\,b\,c^8+737280\,B\,a^5\,b^4\,c^6+983040\,A\,a^5\,b^3\,c^7-163840\,B\,a^4\,b^6\,c^5-491520\,A\,a^4\,b^5\,c^6+15360\,B\,a^3\,b^8\,c^4+122880\,A\,a^3\,b^7\,c^5-15360\,A\,a^2\,b^9\,c^4-64\,B\,a\,b^{12}\,c^2+768\,A\,a\,b^{11}\,c^3}{64\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,\left(-65536\,a^5\,b\,c^8+81920\,a^4\,b^3\,c^7-40960\,a^3\,b^5\,c^6+10240\,a^2\,b^7\,c^5-1280\,a\,b^9\,c^4+64\,b^{11}\,c^3\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}-\frac{\sqrt{x}\,\left(-288\,A^2\,a^3\,c^5+576\,A^2\,a^2\,b^2\,c^4+126\,A^2\,a\,b^4\,c^3+9\,A^2\,b^6\,c^2-672\,A\,B\,a^3\,b\,c^4-816\,A\,B\,a^2\,b^3\,c^3-66\,A\,B\,a\,b^5\,c^2+6\,A\,B\,b^7\,c+800\,B^2\,a^4\,c^4+208\,B^2\,a^3\,b^2\,c^3+314\,B^2\,a^2\,b^4\,c^2-36\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}+\left(\left(\frac{1310720\,B\,a^7\,c^8-1572864\,B\,a^6\,b^2\,c^7-786432\,A\,a^6\,b\,c^8+737280\,B\,a^5\,b^4\,c^6+983040\,A\,a^5\,b^3\,c^7-163840\,B\,a^4\,b^6\,c^5-491520\,A\,a^4\,b^5\,c^6+15360\,B\,a^3\,b^8\,c^4+122880\,A\,a^3\,b^7\,c^5-15360\,A\,a^2\,b^9\,c^4-64\,B\,a\,b^{12}\,c^2+768\,A\,a\,b^{11}\,c^3}{64\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,\left(-65536\,a^5\,b\,c^8+81920\,a^4\,b^3\,c^7-40960\,a^3\,b^5\,c^6+10240\,a^2\,b^7\,c^5-1280\,a\,b^9\,c^4+64\,b^{11}\,c^3\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}+\frac{\sqrt{x}\,\left(-288\,A^2\,a^3\,c^5+576\,A^2\,a^2\,b^2\,c^4+126\,A^2\,a\,b^4\,c^3+9\,A^2\,b^6\,c^2-672\,A\,B\,a^3\,b\,c^4-816\,A\,B\,a^2\,b^3\,c^3-66\,A\,B\,a\,b^5\,c^2+6\,A\,B\,b^7\,c+800\,B^2\,a^4\,c^4+208\,B^2\,a^3\,b^2\,c^3+314\,B^2\,a^2\,b^4\,c^2-36\,B^2\,a\,b^6\,c+B^2\,b^8\right)}{8\,\left(256\,a^4\,c^5-256\,a^3\,b^2\,c^4+96\,a^2\,b^4\,c^3-16\,a\,b^6\,c^2+b^8\,c\right)}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}}\right)\,\sqrt{-\frac{B^2\,b^{17}+9\,A^2\,b^{15}\,c^2-9\,A^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,b^{16}\,c-5040\,A^2\,a^2\,b^{11}\,c^4+37440\,A^2\,a^3\,b^9\,c^5-103680\,A^2\,a^4\,b^7\,c^6-9216\,A^2\,a^5\,b^5\,c^7+552960\,A^2\,a^6\,b^3\,c^8+1140\,B^2\,a^2\,b^{13}\,c^2-10160\,B^2\,a^3\,b^{11}\,c^3+34880\,B^2\,a^4\,b^9\,c^4+43776\,B^2\,a^5\,b^7\,c^5-680960\,B^2\,a^6\,b^5\,c^6+1863680\,B^2\,a^7\,b^3\,c^7+983040\,A\,B\,a^8\,c^9-55\,B^2\,a\,b^{15}\,c+25\,B^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+180\,A^2\,a\,b^{13}\,c^3-737280\,A^2\,a^7\,b\,c^9-1720320\,B^2\,a^8\,b\,c^8+240\,A\,B\,a^2\,b^{12}\,c^3+24000\,A\,B\,a^3\,b^{10}\,c^4-241920\,A\,B\,a^4\,b^8\,c^5+992256\,A\,B\,a^5\,b^6\,c^6-1781760\,A\,B\,a^6\,b^4\,c^7+737280\,A\,B\,a^7\,b^2\,c^8-6\,A\,B\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a\,b^{14}\,c^2}{128\,\left(1048576\,a^{10}\,c^{13}-2621440\,a^9\,b^2\,c^{12}+2949120\,a^8\,b^4\,c^{11}-1966080\,a^7\,b^6\,c^{10}+860160\,a^6\,b^8\,c^9-258048\,a^5\,b^{10}\,c^8+53760\,a^4\,b^{12}\,c^7-7680\,a^3\,b^{14}\,c^6+720\,a^2\,b^{16}\,c^5-40\,a\,b^{18}\,c^4+b^{20}\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) - (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) - (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*1i - (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*1i)/((1728*A^3*a^4*c^5 - 35*B^3*a^2*b^7 + 1620*A^3*a^2*b^4*c^3 + 4752*A^3*a^3*b^2*c^4 - 9456*B^3*a^4*b^3*c^2 + 15*A*B^2*a*b^8 + 4800*A*B^2*a^5*c^4 + 135*A^3*a*b^6*c^2 + 1176*B^3*a^3*b^5*c - 6400*B^3*a^5*b*c^3 - 705*A*B^2*a^2*b^6*c - 15552*A^2*B*a^4*b*c^4 + 6084*A*B^2*a^3*b^4*c^2 + 26256*A*B^2*a^4*b^2*c^3 - 1260*A^2*B*a^2*b^5*c^2 - 13248*A^2*B*a^3*b^3*c^3 + 90*A^2*B*a*b^7*c)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) - (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) - (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 + 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c - 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 + 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*2i - ((x^(5/2)*(B*b^4 + 36*B*a^2*c^2 - 5*A*b^3*c - 16*A*a*b*c^2 + 5*B*a*b^2*c))/(4*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^(7/2)*(B*b^3 + 12*A*a*c^2 + 3*A*b^2*c - 16*B*a*b*c))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(3/2)*(4*A*a^2*c^2 + 2*B*a*b^3 - 19*A*a*b^2*c + 28*B*a^2*b*c))/(4*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (a^2*x^(1/2)*(B*b^2 - 12*A*b*c + 20*B*a*c))/(4*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + atan(((((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) - (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) - (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*1i - (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*1i)/((1728*A^3*a^4*c^5 - 35*B^3*a^2*b^7 + 1620*A^3*a^2*b^4*c^3 + 4752*A^3*a^3*b^2*c^4 - 9456*B^3*a^4*b^3*c^2 + 15*A*B^2*a*b^8 + 4800*A*B^2*a^5*c^4 + 135*A^3*a*b^6*c^2 + 1176*B^3*a^3*b^5*c - 6400*B^3*a^5*b*c^3 - 705*A*B^2*a^2*b^6*c - 15552*A^2*B*a^4*b*c^4 + 6084*A*B^2*a^3*b^4*c^2 + 26256*A*B^2*a^4*b^2*c^3 - 1260*A^2*B*a^2*b^5*c^2 - 13248*A^2*B*a^3*b^3*c^3 + 90*A^2*B*a*b^7*c)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) - (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) - (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (((1310720*B*a^7*c^8 + 768*A*a*b^11*c^3 - 786432*A*a^6*b*c^8 - 64*B*a*b^12*c^2 - 15360*A*a^2*b^9*c^4 + 122880*A*a^3*b^7*c^5 - 491520*A*a^4*b^5*c^6 + 983040*A*a^5*b^3*c^7 + 15360*B*a^3*b^8*c^4 - 163840*B*a^4*b^6*c^5 + 737280*B*a^5*b^4*c^6 - 1572864*B*a^6*b^2*c^7)/(64*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)) + (x^(1/2)*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*(64*b^11*c^3 - 1280*a*b^9*c^4 - 65536*a^5*b*c^8 + 10240*a^2*b^7*c^5 - 40960*a^3*b^5*c^6 + 81920*a^4*b^3*c^7))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2) + (x^(1/2)*(B^2*b^8 - 288*A^2*a^3*c^5 + 9*A^2*b^6*c^2 + 800*B^2*a^4*c^4 + 6*A*B*b^7*c + 576*A^2*a^2*b^2*c^4 + 314*B^2*a^2*b^4*c^2 + 208*B^2*a^3*b^2*c^3 - 36*B^2*a*b^6*c + 126*A^2*a*b^4*c^3 - 816*A*B*a^2*b^3*c^3 - 66*A*B*a*b^5*c^2 - 672*A*B*a^3*b*c^4))/(8*(b^8*c + 256*a^4*c^5 - 16*a*b^6*c^2 + 96*a^2*b^4*c^3 - 256*a^3*b^2*c^4)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)))*(-(B^2*b^17 + 9*A^2*b^15*c^2 - 9*A^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*b^16*c - 5040*A^2*a^2*b^11*c^4 + 37440*A^2*a^3*b^9*c^5 - 103680*A^2*a^4*b^7*c^6 - 9216*A^2*a^5*b^5*c^7 + 552960*A^2*a^6*b^3*c^8 + 1140*B^2*a^2*b^13*c^2 - 10160*B^2*a^3*b^11*c^3 + 34880*B^2*a^4*b^9*c^4 + 43776*B^2*a^5*b^7*c^5 - 680960*B^2*a^6*b^5*c^6 + 1863680*B^2*a^7*b^3*c^7 + 983040*A*B*a^8*c^9 - 55*B^2*a*b^15*c + 25*B^2*a*c*(-(4*a*c - b^2)^15)^(1/2) + 180*A^2*a*b^13*c^3 - 737280*A^2*a^7*b*c^9 - 1720320*B^2*a^8*b*c^8 + 240*A*B*a^2*b^12*c^3 + 24000*A*B*a^3*b^10*c^4 - 241920*A*B*a^4*b^8*c^5 + 992256*A*B*a^5*b^6*c^6 - 1781760*A*B*a^6*b^4*c^7 + 737280*A*B*a^7*b^2*c^8 - 6*A*B*b*c*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a*b^14*c^2)/(128*(1048576*a^10*c^13 + b^20*c^3 - 40*a*b^18*c^4 + 720*a^2*b^16*c^5 - 7680*a^3*b^14*c^6 + 53760*a^4*b^12*c^7 - 258048*a^5*b^10*c^8 + 860160*a^6*b^8*c^9 - 1966080*a^7*b^6*c^10 + 2949120*a^8*b^4*c^11 - 2621440*a^9*b^2*c^12)))^(1/2)*2i","B"
1025,1,16720,414,4.706008,"\text{Not used}","int((x^(3/2)*(A + B*x))/(a + b*x + c*x^2)^3,x)","-\frac{\frac{x^{3/2}\,\left(4\,B\,c\,a^2-19\,B\,a\,b^2+16\,A\,c\,a\,b+5\,A\,b^3\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^{5/2}\,\left(5\,B\,b^3-19\,A\,b^2\,c+16\,B\,a\,b\,c+4\,A\,a\,c^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,a\,\sqrt{x}\,\left(A\,b^2-4\,B\,a\,b+4\,A\,a\,c\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{3\,c\,x^{7/2}\,\left(B\,b^2-4\,A\,c\,b+4\,B\,a\,c\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}-\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}-\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{3\,\left(-576\,A^3\,a^2\,b\,c^5-1440\,A^3\,a\,b^3\,c^4-180\,A^3\,b^5\,c^3+576\,A^2\,B\,a^3\,c^5+4464\,A^2\,B\,a^2\,b^2\,c^4+1980\,A^2\,B\,a\,b^4\,c^3+81\,A^2\,B\,b^6\,c^2-3456\,A\,B^2\,a^3\,b\,c^4-3600\,A\,B^2\,a^2\,b^3\,c^3-576\,A\,B^2\,a\,b^5\,c^2-9\,A\,B^2\,b^7\,c+576\,B^3\,a^4\,c^4+1584\,B^3\,a^3\,b^2\,c^3+540\,B^3\,a^2\,b^4\,c^2+45\,B^3\,a\,b^6\,c\right)}{32\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}+B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c-A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}-\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}-\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\left(\left(\frac{3\,\left(-262144\,B\,a^6\,b\,c^7+262144\,A\,a^6\,c^8+327680\,B\,a^5\,b^3\,c^6-262144\,A\,a^5\,b^2\,c^7-163840\,B\,a^4\,b^5\,c^5+81920\,A\,a^4\,b^4\,c^6+40960\,B\,a^3\,b^7\,c^4-5120\,B\,a^2\,b^9\,c^3-5120\,A\,a^2\,b^8\,c^4+256\,B\,a\,b^{11}\,c^2+1024\,A\,a\,b^{10}\,c^3-64\,A\,b^{12}\,c^2\right)}{64\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,\left(-65536\,a^5\,b\,c^7+81920\,a^4\,b^3\,c^6-40960\,a^3\,b^5\,c^5+10240\,a^2\,b^7\,c^4-1280\,a\,b^9\,c^3+64\,b^{11}\,c^2\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{\sqrt{x}\,\left(288\,A^2\,a^2\,c^5+144\,A^2\,a\,b^2\,c^4+234\,A^2\,b^4\,c^3-288\,A\,B\,a^2\,b\,c^4-720\,A\,B\,a\,b^3\,c^3-90\,A\,B\,b^5\,c^2-288\,B^2\,a^3\,c^4+576\,B^2\,a^2\,b^2\,c^3+126\,B^2\,a\,b^4\,c^2+9\,B^2\,b^6\,c\right)}{8\,\left(256\,a^4\,c^4-256\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-16\,a\,b^6\,c+b^8\right)}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}+\frac{3\,\left(-576\,A^3\,a^2\,b\,c^5-1440\,A^3\,a\,b^3\,c^4-180\,A^3\,b^5\,c^3+576\,A^2\,B\,a^3\,c^5+4464\,A^2\,B\,a^2\,b^2\,c^4+1980\,A^2\,B\,a\,b^4\,c^3+81\,A^2\,B\,b^6\,c^2-3456\,A\,B^2\,a^3\,b\,c^4-3600\,A\,B^2\,a^2\,b^3\,c^3-576\,A\,B^2\,a\,b^5\,c^2-9\,A\,B^2\,b^7\,c+576\,B^3\,a^4\,c^4+1584\,B^3\,a^3\,b^2\,c^3+540\,B^3\,a^2\,b^4\,c^2+45\,B^3\,a\,b^6\,c\right)}{32\,\left(4096\,a^6\,c^6-6144\,a^5\,b^2\,c^5+3840\,a^4\,b^4\,c^4-1280\,a^3\,b^6\,c^3+240\,a^2\,b^8\,c^2-24\,a\,b^{10}\,c+b^{12}\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,b^{15}-B^2\,a\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+A^2\,b^{15}\,c+A^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-560\,A^2\,a^2\,b^{11}\,c^3+4160\,A^2\,a^3\,b^9\,c^4-11520\,A^2\,a^4\,b^7\,c^5-1024\,A^2\,a^5\,b^5\,c^6+61440\,A^2\,a^6\,b^3\,c^7-560\,B^2\,a^3\,b^{11}\,c^2+4160\,B^2\,a^4\,b^9\,c^3-11520\,B^2\,a^5\,b^7\,c^4-1024\,B^2\,a^6\,b^5\,c^5+61440\,B^2\,a^7\,b^3\,c^6+65536\,A\,B\,a^8\,c^8+20\,A^2\,a\,b^{13}\,c^2-81920\,A^2\,a^7\,b\,c^8+20\,B^2\,a^2\,b^{13}\,c-81920\,B^2\,a^8\,b\,c^7+240\,A\,B\,a^2\,b^{12}\,c^2-64\,A\,B\,a^3\,b^{10}\,c^3-11520\,A\,B\,a^4\,b^8\,c^4+66560\,A\,B\,a^5\,b^6\,c^5-143360\,A\,B\,a^6\,b^4\,c^6+81920\,A\,B\,a^7\,b^2\,c^7-20\,A\,B\,a\,b^{14}\,c\right)}{128\,\left(1048576\,a^{11}\,c^{11}-2621440\,a^{10}\,b^2\,c^{10}+2949120\,a^9\,b^4\,c^9-1966080\,a^8\,b^6\,c^8+860160\,a^7\,b^8\,c^7-258048\,a^6\,b^{10}\,c^6+53760\,a^5\,b^{12}\,c^5-7680\,a^4\,b^{14}\,c^4+720\,a^3\,b^{16}\,c^3-40\,a^2\,b^{18}\,c^2+a\,b^{20}\,c\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (x^(1/2)*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) - (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*1i - (((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x^(1/2)*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*1i)/((((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (x^(1/2)*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) - (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x^(1/2)*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (3*(576*B^3*a^4*c^4 - 180*A^3*b^5*c^3 + 540*B^3*a^2*b^4*c^2 + 1584*B^3*a^3*b^2*c^3 - 9*A*B^2*b^7*c + 45*B^3*a*b^6*c + 576*A^2*B*a^3*c^5 + 81*A^2*B*b^6*c^2 - 1440*A^3*a*b^3*c^4 - 576*A^3*a^2*b*c^5 - 576*A*B^2*a*b^5*c^2 - 3456*A*B^2*a^3*b*c^4 + 1980*A^2*B*a*b^4*c^3 - 3600*A*B^2*a^2*b^3*c^3 + 4464*A^2*B*a^2*b^2*c^4))/(32*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c))))*(-(9*(B^2*a*b^15 + B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c - A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*2i - ((x^(3/2)*(5*A*b^3 - 19*B*a*b^2 + 4*B*a^2*c + 16*A*a*b*c))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^(5/2)*(5*B*b^3 + 4*A*a*c^2 - 19*A*b^2*c + 16*B*a*b*c))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*a*x^(1/2)*(A*b^2 + 4*A*a*c - 4*B*a*b))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (3*c*x^(7/2)*(B*b^2 - 4*A*b*c + 4*B*a*c))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + atan(((((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (x^(1/2)*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) - (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*1i - (((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x^(1/2)*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*1i)/((((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) - (x^(1/2)*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) - (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (((3*(262144*A*a^6*c^8 - 64*A*b^12*c^2 + 1024*A*a*b^10*c^3 + 256*B*a*b^11*c^2 - 262144*B*a^6*b*c^7 - 5120*A*a^2*b^8*c^4 + 81920*A*a^4*b^4*c^6 - 262144*A*a^5*b^2*c^7 - 5120*B*a^2*b^9*c^3 + 40960*B*a^3*b^7*c^4 - 163840*B*a^4*b^5*c^5 + 327680*B*a^5*b^3*c^6))/(64*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c)) + (x^(1/2)*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*(64*b^11*c^2 - 1280*a*b^9*c^3 - 65536*a^5*b*c^7 + 10240*a^2*b^7*c^4 - 40960*a^3*b^5*c^5 + 81920*a^4*b^3*c^6))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (x^(1/2)*(9*B^2*b^6*c + 288*A^2*a^2*c^5 + 234*A^2*b^4*c^3 - 288*B^2*a^3*c^4 + 576*B^2*a^2*b^2*c^3 - 90*A*B*b^5*c^2 + 144*A^2*a*b^2*c^4 + 126*B^2*a*b^4*c^2 - 720*A*B*a*b^3*c^3 - 288*A*B*a^2*b*c^4))/(8*(b^8 + 256*a^4*c^4 + 96*a^2*b^4*c^2 - 256*a^3*b^2*c^3 - 16*a*b^6*c)))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2) + (3*(576*B^3*a^4*c^4 - 180*A^3*b^5*c^3 + 540*B^3*a^2*b^4*c^2 + 1584*B^3*a^3*b^2*c^3 - 9*A*B^2*b^7*c + 45*B^3*a*b^6*c + 576*A^2*B*a^3*c^5 + 81*A^2*B*b^6*c^2 - 1440*A^3*a*b^3*c^4 - 576*A^3*a^2*b*c^5 - 576*A*B^2*a*b^5*c^2 - 3456*A*B^2*a^3*b*c^4 + 1980*A^2*B*a*b^4*c^3 - 3600*A*B^2*a^2*b^3*c^3 + 4464*A^2*B*a^2*b^2*c^4))/(32*(b^12 + 4096*a^6*c^6 + 240*a^2*b^8*c^2 - 1280*a^3*b^6*c^3 + 3840*a^4*b^4*c^4 - 6144*a^5*b^2*c^5 - 24*a*b^10*c))))*(-(9*(B^2*a*b^15 - B^2*a*(-(4*a*c - b^2)^15)^(1/2) + A^2*b^15*c + A^2*c*(-(4*a*c - b^2)^15)^(1/2) - 560*A^2*a^2*b^11*c^3 + 4160*A^2*a^3*b^9*c^4 - 11520*A^2*a^4*b^7*c^5 - 1024*A^2*a^5*b^5*c^6 + 61440*A^2*a^6*b^3*c^7 - 560*B^2*a^3*b^11*c^2 + 4160*B^2*a^4*b^9*c^3 - 11520*B^2*a^5*b^7*c^4 - 1024*B^2*a^6*b^5*c^5 + 61440*B^2*a^7*b^3*c^6 + 65536*A*B*a^8*c^8 + 20*A^2*a*b^13*c^2 - 81920*A^2*a^7*b*c^8 + 20*B^2*a^2*b^13*c - 81920*B^2*a^8*b*c^7 + 240*A*B*a^2*b^12*c^2 - 64*A*B*a^3*b^10*c^3 - 11520*A*B*a^4*b^8*c^4 + 66560*A*B*a^5*b^6*c^5 - 143360*A*B*a^6*b^4*c^6 + 81920*A*B*a^7*b^2*c^7 - 20*A*B*a*b^14*c))/(128*(1048576*a^11*c^11 - 40*a^2*b^18*c^2 + 720*a^3*b^16*c^3 - 7680*a^4*b^14*c^4 + 53760*a^5*b^12*c^5 - 258048*a^6*b^10*c^6 + 860160*a^7*b^8*c^7 - 1966080*a^8*b^6*c^8 + 2949120*a^9*b^4*c^9 - 2621440*a^10*b^2*c^10 + a*b^20*c)))^(1/2)*2i","B"
1026,1,19024,426,5.049225,"\text{Not used}","int((x^(1/2)*(A + B*x))/(a + b*x + c*x^2)^3,x)","\frac{\frac{x^{3/2}\,\left(-16\,B\,a^2\,b\,c+36\,A\,a^2\,c^2-5\,B\,a\,b^3+5\,A\,a\,b^2\,c+A\,b^4\right)}{4\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{\sqrt{x}\,\left(12\,B\,c\,a^2+3\,B\,a\,b^2-16\,A\,c\,a\,b+A\,b^3\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^{5/2}\,\left(4\,B\,a^2\,c^2-19\,B\,a\,b^2\,c+28\,A\,a\,b\,c^2+2\,A\,b^3\,c\right)}{4\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{c\,x^{7/2}\,\left(A\,b^2\,c-12\,B\,a\,b\,c+20\,A\,a\,c^2\right)}{4\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{-786432\,B\,a^8\,c^8+786432\,B\,a^7\,b^2\,c^7+1048576\,A\,a^7\,b\,c^8-245760\,B\,a^6\,b^4\,c^6-1376256\,A\,a^6\,b^3\,c^7+737280\,A\,a^5\,b^5\,c^6+15360\,B\,a^4\,b^8\,c^4-204800\,A\,a^4\,b^7\,c^5-3072\,B\,a^3\,b^{10}\,c^3+30720\,A\,a^3\,b^9\,c^4+192\,B\,a^2\,b^{12}\,c^2-2304\,A\,a^2\,b^{11}\,c^3+64\,A\,a\,b^{13}\,c^2}{64\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,\left(65536\,a^7\,b\,c^7-81920\,a^6\,b^3\,c^6+40960\,a^5\,b^5\,c^5-10240\,a^4\,b^7\,c^4+1280\,a^3\,b^9\,c^3-64\,a^2\,b^{11}\,c^2\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(-800\,A^2\,a^3\,c^6+1472\,A^2\,a^2\,b^2\,c^5-34\,A^2\,a\,b^4\,c^4+A^2\,b^6\,c^3-288\,A\,B\,a^3\,b\,c^5-1104\,A\,B\,a^2\,b^3\,c^4+6\,A\,B\,a\,b^5\,c^3+288\,B^2\,a^4\,c^5+144\,B^2\,a^3\,b^2\,c^4+234\,B^2\,a^2\,b^4\,c^3\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-786432\,B\,a^8\,c^8+786432\,B\,a^7\,b^2\,c^7+1048576\,A\,a^7\,b\,c^8-245760\,B\,a^6\,b^4\,c^6-1376256\,A\,a^6\,b^3\,c^7+737280\,A\,a^5\,b^5\,c^6+15360\,B\,a^4\,b^8\,c^4-204800\,A\,a^4\,b^7\,c^5-3072\,B\,a^3\,b^{10}\,c^3+30720\,A\,a^3\,b^9\,c^4+192\,B\,a^2\,b^{12}\,c^2-2304\,A\,a^2\,b^{11}\,c^3+64\,A\,a\,b^{13}\,c^2}{64\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,\left(65536\,a^7\,b\,c^7-81920\,a^6\,b^3\,c^6+40960\,a^5\,b^5\,c^5-10240\,a^4\,b^7\,c^4+1280\,a^3\,b^9\,c^3-64\,a^2\,b^{11}\,c^2\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(-800\,A^2\,a^3\,c^6+1472\,A^2\,a^2\,b^2\,c^5-34\,A^2\,a\,b^4\,c^4+A^2\,b^6\,c^3-288\,A\,B\,a^3\,b\,c^5-1104\,A\,B\,a^2\,b^3\,c^4+6\,A\,B\,a\,b^5\,c^3+288\,B^2\,a^4\,c^5+144\,B^2\,a^3\,b^2\,c^4+234\,B^2\,a^2\,b^4\,c^3\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}+A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c-25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,1{}\mathrm{i}}{\frac{-8000\,A^3\,a^3\,c^7-12720\,A^3\,a^2\,b^2\,c^6+84\,A^3\,a\,b^4\,c^5+35\,A^3\,b^6\,c^4+26880\,A^2\,B\,a^3\,b\,c^6+15696\,A^2\,B\,a^2\,b^3\,c^5-360\,A^2\,B\,a\,b^5\,c^4-15\,A^2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a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7+6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{-786432\,B\,a^8\,c^8+786432\,B\,a^7\,b^2\,c^7+1048576\,A\,a^7\,b\,c^8-245760\,B\,a^6\,b^4\,c^6-1376256\,A\,a^6\,b^3\,c^7+737280\,A\,a^5\,b^5\,c^6+15360\,B\,a^4\,b^8\,c^4-204800\,A\,a^4\,b^7\,c^5-3072\,B\,a^3\,b^{10}\,c^3+30720\,A\,a^3\,b^9\,c^4+192\,B\,a^2\,b^{12}\,c^2-2304\,A\,a^2\,b^{11}\,c^3+64\,A\,a\,b^{13}\,c^2}{64\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,\left(65536\,a^7\,b\,c^7-81920\,a^6\,b^3\,c^6+40960\,a^5\,b^5\,c^5-10240\,a^4\,b^7\,c^4+1280\,a^3\,b^9\,c^3-64\,a^2\,b^{11}\,c^2\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(-800\,A^2\,a^3\,c^6+1472\,A^2\,a^2\,b^2\,c^5-34\,A^2\,a\,b^4\,c^4+A^2\,b^6\,c^3-288\,A\,B\,a^3\,b\,c^5-1104\,A\,B\,a^2\,b^3\,c^4+6\,A\,B\,a\,b^5\,c^3+288\,B^2\,a^4\,c^5+144\,B^2\,a^3\,b^2\,c^4+234\,B^2\,a^2\,b^4\,c^3\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(10485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-360\,A^2\,B\,a\,b^5\,c^4-15\,A^2\,B\,b^7\,c^3-2880\,A\,B^2\,a^4\,c^6-20592\,A\,B^2\,a^3\,b^2\,c^5-5580\,A\,B^2\,a^2\,b^4\,c^4+135\,A\,B^2\,a\,b^6\,c^3+1728\,B^3\,a^4\,b\,c^5+4320\,B^3\,a^3\,b^3\,c^4+540\,B^3\,a^2\,b^5\,c^3}{32\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\left(\left(\frac{-786432\,B\,a^8\,c^8+786432\,B\,a^7\,b^2\,c^7+1048576\,A\,a^7\,b\,c^8-245760\,B\,a^6\,b^4\,c^6-1376256\,A\,a^6\,b^3\,c^7+737280\,A\,a^5\,b^5\,c^6+15360\,B\,a^4\,b^8\,c^4-204800\,A\,a^4\,b^7\,c^5-3072\,B\,a^3\,b^{10}\,c^3+30720\,A\,a^3\,b^9\,c^4+192\,B\,a^2\,b^{12}\,c^2-2304\,A\,a^2\,b^{11}\,c^3+64\,A\,a\,b^{13}\,c^2}{64\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,\left(65536\,a^7\,b\,c^7-81920\,a^6\,b^3\,c^6+40960\,a^5\,b^5\,c^5-10240\,a^4\,b^7\,c^4+1280\,a^3\,b^9\,c^3-64\,a^2\,b^{11}\,c^2\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(-800\,A^2\,a^3\,c^6+1472\,A^2\,a^2\,b^2\,c^5-34\,A^2\,a\,b^4\,c^4+A^2\,b^6\,c^3-288\,A\,B\,a^3\,b\,c^5-1104\,A\,B\,a^2\,b^3\,c^4+6\,A\,B\,a\,b^5\,c^3+288\,B^2\,a^4\,c^5+144\,B^2\,a^3\,b^2\,c^4+234\,B^2\,a^2\,b^4\,c^3\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}+\left(\left(\frac{-786432\,B\,a^8\,c^8+786432\,B\,a^7\,b^2\,c^7+1048576\,A\,a^7\,b\,c^8-245760\,B\,a^6\,b^4\,c^6-1376256\,A\,a^6\,b^3\,c^7+737280\,A\,a^5\,b^5\,c^6+15360\,B\,a^4\,b^8\,c^4-204800\,A\,a^4\,b^7\,c^5-3072\,B\,a^3\,b^{10}\,c^3+30720\,A\,a^3\,b^9\,c^4+192\,B\,a^2\,b^{12}\,c^2-2304\,A\,a^2\,b^{11}\,c^3+64\,A\,a\,b^{13}\,c^2}{64\,\left(4096\,a^8\,c^6-6144\,a^7\,b^2\,c^5+3840\,a^6\,b^4\,c^4-1280\,a^5\,b^6\,c^3+240\,a^4\,b^8\,c^2-24\,a^3\,b^{10}\,c+a^2\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,\left(65536\,a^7\,b\,c^7-81920\,a^6\,b^3\,c^6+40960\,a^5\,b^5\,c^5-10240\,a^4\,b^7\,c^4+1280\,a^3\,b^9\,c^3-64\,a^2\,b^{11}\,c^2\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(-800\,A^2\,a^3\,c^6+1472\,A^2\,a^2\,b^2\,c^5-34\,A^2\,a\,b^4\,c^4+A^2\,b^6\,c^3-288\,A\,B\,a^3\,b\,c^5-1104\,A\,B\,a^2\,b^3\,c^4+6\,A\,B\,a\,b^5\,c^3+288\,B^2\,a^4\,c^5+144\,B^2\,a^3\,b^2\,c^4+234\,B^2\,a^2\,b^4\,c^3\right)}{8\,\left(256\,a^6\,c^4-256\,a^5\,b^2\,c^3+96\,a^4\,b^4\,c^2-16\,a^3\,b^6\,c+a^2\,b^8\right)}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}}\right)\,\sqrt{-\frac{A^2\,b^{17}+9\,B^2\,a^2\,b^{15}-A^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-9\,B^2\,a^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{16}+1140\,A^2\,a^2\,b^{13}\,c^2-10160\,A^2\,a^3\,b^{11}\,c^3+34880\,A^2\,a^4\,b^9\,c^4+43776\,A^2\,a^5\,b^7\,c^5-680960\,A^2\,a^6\,b^5\,c^6+1863680\,A^2\,a^7\,b^3\,c^7-5040\,B^2\,a^4\,b^{11}\,c^2+37440\,B^2\,a^5\,b^9\,c^3-103680\,B^2\,a^6\,b^7\,c^4-9216\,B^2\,a^7\,b^5\,c^5+552960\,B^2\,a^8\,b^3\,c^6+983040\,A\,B\,a^9\,c^8-55\,A^2\,a\,b^{15}\,c+25\,A^2\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-1720320\,A^2\,a^8\,b\,c^8+180\,B^2\,a^3\,b^{13}\,c-737280\,B^2\,a^9\,b\,c^7+240\,A\,B\,a^3\,b^{12}\,c^2+24000\,A\,B\,a^4\,b^{10}\,c^3-241920\,A\,B\,a^5\,b^8\,c^4+992256\,A\,B\,a^6\,b^6\,c^5-1781760\,A\,B\,a^7\,b^4\,c^6+737280\,A\,B\,a^8\,b^2\,c^7-6\,A\,B\,a\,b\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-180\,A\,B\,a^2\,b^{14}\,c}{128\,\left(1048576\,a^{13}\,c^{10}-2621440\,a^{12}\,b^2\,c^9+2949120\,a^{11}\,b^4\,c^8-1966080\,a^{10}\,b^6\,c^7+860160\,a^9\,b^8\,c^6-258048\,a^8\,b^{10}\,c^5+53760\,a^7\,b^{12}\,c^4-7680\,a^6\,b^{14}\,c^3+720\,a^5\,b^{16}\,c^2-40\,a^4\,b^{18}\,c+a^3\,b^{20}\right)}}\,2{}\mathrm{i}","Not used",1,"((x^(3/2)*(A*b^4 + 36*A*a^2*c^2 - 5*B*a*b^3 + 5*A*a*b^2*c - 16*B*a^2*b*c))/(4*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^(1/2)*(A*b^3 + 3*B*a*b^2 + 12*B*a^2*c - 16*A*a*b*c))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(5/2)*(4*B*a^2*c^2 + 2*A*b^3*c + 28*A*a*b*c^2 - 19*B*a*b^2*c))/(4*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (c*x^(7/2)*(20*A*a*c^2 + A*b^2*c - 12*B*a*b*c))/(4*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + atan(((((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*1i - (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) - (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*1i)/((35*A^3*b^6*c^4 - 8000*A^3*a^3*c^7 - 12720*A^3*a^2*b^2*c^6 + 540*B^3*a^2*b^5*c^3 + 4320*B^3*a^3*b^3*c^4 - 2880*A*B^2*a^4*c^6 - 15*A^2*B*b^7*c^3 + 84*A^3*a*b^4*c^5 + 1728*B^3*a^4*b*c^5 + 135*A*B^2*a*b^6*c^3 - 360*A^2*B*a*b^5*c^4 + 26880*A^2*B*a^3*b*c^6 - 5580*A*B^2*a^2*b^4*c^4 - 20592*A*B^2*a^3*b^2*c^5 + 15696*A^2*B*a^2*b^3*c^5)/(32*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) - (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 + A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c - 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 + 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*2i + atan(((((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*1i - (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) - (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*1i)/((35*A^3*b^6*c^4 - 8000*A^3*a^3*c^7 - 12720*A^3*a^2*b^2*c^6 + 540*B^3*a^2*b^5*c^3 + 4320*B^3*a^3*b^3*c^4 - 2880*A*B^2*a^4*c^6 - 15*A^2*B*b^7*c^3 + 84*A^3*a*b^4*c^5 + 1728*B^3*a^4*b*c^5 + 135*A*B^2*a*b^6*c^3 - 360*A^2*B*a*b^5*c^4 + 26880*A^2*B*a^3*b*c^6 - 5580*A*B^2*a^2*b^4*c^4 - 20592*A*B^2*a^3*b^2*c^5 + 15696*A^2*B*a^2*b^3*c^5)/(32*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) - (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) + (((64*A*a*b^13*c^2 - 786432*B*a^8*c^8 + 1048576*A*a^7*b*c^8 - 2304*A*a^2*b^11*c^3 + 30720*A*a^3*b^9*c^4 - 204800*A*a^4*b^7*c^5 + 737280*A*a^5*b^5*c^6 - 1376256*A*a^6*b^3*c^7 + 192*B*a^2*b^12*c^2 - 3072*B*a^3*b^10*c^3 + 15360*B*a^4*b^8*c^4 - 245760*B*a^6*b^4*c^6 + 786432*B*a^7*b^2*c^7)/(64*(a^2*b^12 + 4096*a^8*c^6 - 24*a^3*b^10*c + 240*a^4*b^8*c^2 - 1280*a^5*b^6*c^3 + 3840*a^6*b^4*c^4 - 6144*a^7*b^2*c^5)) + (x^(1/2)*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*(65536*a^7*b*c^7 - 64*a^2*b^11*c^2 + 1280*a^3*b^9*c^3 - 10240*a^4*b^7*c^4 + 40960*a^5*b^5*c^5 - 81920*a^6*b^3*c^6))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2) - (x^(1/2)*(A^2*b^6*c^3 - 800*A^2*a^3*c^6 + 288*B^2*a^4*c^5 + 1472*A^2*a^2*b^2*c^5 + 234*B^2*a^2*b^4*c^3 + 144*B^2*a^3*b^2*c^4 - 34*A^2*a*b^4*c^4 - 1104*A*B*a^2*b^3*c^4 + 6*A*B*a*b^5*c^3 - 288*A*B*a^3*b*c^5))/(8*(a^2*b^8 + 256*a^6*c^4 - 16*a^3*b^6*c + 96*a^4*b^4*c^2 - 256*a^5*b^2*c^3)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)))*(-(A^2*b^17 + 9*B^2*a^2*b^15 - A^2*b^2*(-(4*a*c - b^2)^15)^(1/2) - 9*B^2*a^2*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^16 + 1140*A^2*a^2*b^13*c^2 - 10160*A^2*a^3*b^11*c^3 + 34880*A^2*a^4*b^9*c^4 + 43776*A^2*a^5*b^7*c^5 - 680960*A^2*a^6*b^5*c^6 + 1863680*A^2*a^7*b^3*c^7 - 5040*B^2*a^4*b^11*c^2 + 37440*B^2*a^5*b^9*c^3 - 103680*B^2*a^6*b^7*c^4 - 9216*B^2*a^7*b^5*c^5 + 552960*B^2*a^8*b^3*c^6 + 983040*A*B*a^9*c^8 - 55*A^2*a*b^15*c + 25*A^2*a*c*(-(4*a*c - b^2)^15)^(1/2) - 1720320*A^2*a^8*b*c^8 + 180*B^2*a^3*b^13*c - 737280*B^2*a^9*b*c^7 + 240*A*B*a^3*b^12*c^2 + 24000*A*B*a^4*b^10*c^3 - 241920*A*B*a^5*b^8*c^4 + 992256*A*B*a^6*b^6*c^5 - 1781760*A*B*a^7*b^4*c^6 + 737280*A*B*a^8*b^2*c^7 - 6*A*B*a*b*(-(4*a*c - b^2)^15)^(1/2) - 180*A*B*a^2*b^14*c)/(128*(a^3*b^20 + 1048576*a^13*c^10 - 40*a^4*b^18*c + 720*a^5*b^16*c^2 - 7680*a^6*b^14*c^3 + 53760*a^7*b^12*c^4 - 258048*a^8*b^10*c^5 + 860160*a^9*b^8*c^6 - 1966080*a^10*b^6*c^7 + 2949120*a^11*b^4*c^8 - 2621440*a^12*b^2*c^9)))^(1/2)*2i","B"
1027,1,22946,468,5.812964,"\text{Not used}","int((A + B*x)/(x^(1/2)*(a + b*x + c*x^2)^3),x)","\frac{\frac{x^{3/2}\,\left(36\,B\,a^3\,c^2+5\,B\,a^2\,b^2\,c-4\,A\,a^2\,b\,c^2+B\,a\,b^4-20\,A\,a\,b^3\,c+3\,A\,b^5\right)}{4\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{\sqrt{x}\,\left(16\,B\,a^2\,b\,c+44\,A\,a^2\,c^2-B\,a\,b^3-37\,A\,a\,b^2\,c+5\,A\,b^4\right)}{4\,a\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^{5/2}\,\left(28\,B\,a^2\,b\,c^2+28\,A\,a^2\,c^3+2\,B\,a\,b^3\,c-49\,A\,a\,b^2\,c^2+6\,A\,b^4\,c\right)}{4\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{c\,x^{7/2}\,\left(20\,B\,a^2\,c^2+B\,a\,b^2\,c-24\,A\,a\,b\,c^2+3\,A\,b^3\,c\right)}{4\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{-169344\,A^3\,a^3\,b\,c^8+67824\,A^3\,a^2\,b^3\,c^7-10368\,A^3\,a\,b^5\,c^6+567\,A^3\,b^7\,c^5+141120\,A^2\,B\,a^4\,c^8+96048\,A^2\,B\,a^3\,b^2\,c^7-42372\,A^2\,B\,a^2\,b^4\,c^6+6237\,A^2\,B\,a\,b^6\,c^5-315\,A^2\,B\,b^8\,c^4-116160\,A\,B^2\,a^4\,b\,c^7+4608\,A\,B^2\,a^3\,b^3\,c^6+1764\,A\,B^2\,a^2\,b^5\,c^5-210\,A\,B^2\,a\,b^7\,c^4+8000\,B^3\,a^5\,c^7+12720\,B^3\,a^4\,b^2\,c^6-84\,B^3\,a^3\,b^4\,c^5-35\,B^3\,a^2\,b^6\,c^4}{32\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}+9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8+441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8-25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8-99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c-108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}-\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}+\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{-169344\,A^3\,a^3\,b\,c^8+67824\,A^3\,a^2\,b^3\,c^7-10368\,A^3\,a\,b^5\,c^6+567\,A^3\,b^7\,c^5+141120\,A^2\,B\,a^4\,c^8+96048\,A^2\,B\,a^3\,b^2\,c^7-42372\,A^2\,B\,a^2\,b^4\,c^6+6237\,A^2\,B\,a\,b^6\,c^5-315\,A^2\,B\,b^8\,c^4-116160\,A\,B^2\,a^4\,b\,c^7+4608\,A\,B^2\,a^3\,b^3\,c^6+1764\,A\,B^2\,a^2\,b^5\,c^5-210\,A\,B^2\,a\,b^7\,c^4+8000\,B^3\,a^5\,c^7+12720\,B^3\,a^4\,b^2\,c^6-84\,B^3\,a^3\,b^4\,c^5-35\,B^3\,a^2\,b^6\,c^4}{32\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\left(\left(\frac{1048576\,B\,a^9\,b\,c^8-5505024\,A\,a^9\,c^9-1376256\,B\,a^8\,b^3\,c^7+8650752\,A\,a^8\,b^2\,c^8+737280\,B\,a^7\,b^5\,c^6-5849088\,A\,a^7\,b^4\,c^7-204800\,B\,a^6\,b^7\,c^5+2211840\,A\,a^6\,b^6\,c^6+30720\,B\,a^5\,b^9\,c^4-506880\,A\,a^5\,b^8\,c^5-2304\,B\,a^4\,b^{11}\,c^3+70656\,A\,a^4\,b^{10}\,c^4+64\,B\,a^3\,b^{13}\,c^2-5568\,A\,a^3\,b^{12}\,c^3+192\,A\,a^2\,b^{14}\,c^2}{64\,\left(4096\,a^{10}\,c^6-6144\,a^9\,b^2\,c^5+3840\,a^8\,b^4\,c^4-1280\,a^7\,b^6\,c^3+240\,a^6\,b^8\,c^2-24\,a^5\,b^{10}\,c+a^4\,b^{12}\right)}+\frac{\sqrt{x}\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,\left(65536\,a^9\,b\,c^7-81920\,a^8\,b^3\,c^6+40960\,a^7\,b^5\,c^5-10240\,a^6\,b^7\,c^4+1280\,a^5\,b^9\,c^3-64\,a^4\,b^{11}\,c^2\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}-\frac{\sqrt{x}\,\left(14112\,A^2\,a^4\,c^7-6192\,A^2\,a^3\,b^2\,c^6+1530\,A^2\,a^2\,b^4\,c^5-180\,A^2\,a\,b^6\,c^4+9\,A^2\,b^8\,c^3-6816\,A\,B\,a^4\,b\,c^6+1104\,A\,B\,a^3\,b^3\,c^5-162\,A\,B\,a^2\,b^5\,c^4+6\,A\,B\,a\,b^7\,c^3-800\,B^2\,a^5\,c^6+1472\,B^2\,a^4\,b^2\,c^5-34\,B^2\,a^3\,b^4\,c^4+B^2\,a^2\,b^6\,c^3\right)}{8\,\left(256\,a^8\,c^4-256\,a^7\,b^2\,c^3+96\,a^6\,b^4\,c^2-16\,a^5\,b^6\,c+a^4\,b^8\right)}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}}\right)\,\sqrt{-\frac{9\,A^2\,b^{19}+B^2\,a^2\,b^{17}-9\,A^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+6\,A\,B\,a\,b^{18}+6921\,A^2\,a^2\,b^{15}\,c^2-77580\,A^2\,a^3\,b^{13}\,c^3+570960\,A^2\,a^4\,b^{11}\,c^4-2851776\,A^2\,a^5\,b^9\,c^5+9628416\,A^2\,a^6\,b^7\,c^6-21095424\,A^2\,a^7\,b^5\,c^7+27095040\,A^2\,a^8\,b^3\,c^8-441\,A^2\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+1140\,B^2\,a^4\,b^{13}\,c^2-10160\,B^2\,a^5\,b^{11}\,c^3+34880\,B^2\,a^6\,b^9\,c^4+43776\,B^2\,a^7\,b^7\,c^5-680960\,B^2\,a^8\,b^5\,c^6+1863680\,B^2\,a^9\,b^3\,c^7+6881280\,A\,B\,a^{10}\,c^9-369\,A^2\,a\,b^{17}\,c-15482880\,A^2\,a^9\,b\,c^9-55\,B^2\,a^3\,b^{15}\,c-1720320\,B^2\,a^{10}\,b\,c^8+25\,B^2\,a^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+5580\,A\,B\,a^3\,b^{14}\,c^2-59280\,A\,B\,a^4\,b^{12}\,c^3+377280\,A\,B\,a^5\,b^{10}\,c^4-1430784\,A\,B\,a^6\,b^8\,c^5+2860032\,A\,B\,a^7\,b^6\,c^6-1290240\,A\,B\,a^8\,b^4\,c^7-5160960\,A\,B\,a^9\,b^2\,c^8+99\,A^2\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6\,A\,B\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-288\,A\,B\,a^2\,b^{16}\,c+108\,A\,B\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}}{128\,\left(1048576\,a^{15}\,c^{10}-2621440\,a^{14}\,b^2\,c^9+2949120\,a^{13}\,b^4\,c^8-1966080\,a^{12}\,b^6\,c^7+860160\,a^{11}\,b^8\,c^6-258048\,a^{10}\,b^{10}\,c^5+53760\,a^9\,b^{12}\,c^4-7680\,a^8\,b^{14}\,c^3+720\,a^7\,b^{16}\,c^2-40\,a^6\,b^{18}\,c+a^5\,b^{20}\right)}}\,2{}\mathrm{i}","Not used",1,"((x^(3/2)*(3*A*b^5 + 36*B*a^3*c^2 + B*a*b^4 - 20*A*a*b^3*c - 4*A*a^2*b*c^2 + 5*B*a^2*b^2*c))/(4*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(1/2)*(5*A*b^4 + 44*A*a^2*c^2 - B*a*b^3 - 37*A*a*b^2*c + 16*B*a^2*b*c))/(4*a*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^(5/2)*(28*A*a^2*c^3 + 6*A*b^4*c + 2*B*a*b^3*c - 49*A*a*b^2*c^2 + 28*B*a^2*b*c^2))/(4*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (c*x^(7/2)*(20*B*a^2*c^2 + 3*A*b^3*c - 24*A*a*b*c^2 + B*a*b^2*c))/(4*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + atan(((((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) + (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*1i - (((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*1i)/((((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) + (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (567*A^3*b^7*c^5 + 8000*B^3*a^5*c^7 + 67824*A^3*a^2*b^3*c^7 - 35*B^3*a^2*b^6*c^4 - 84*B^3*a^3*b^4*c^5 + 12720*B^3*a^4*b^2*c^6 + 141120*A^2*B*a^4*c^8 - 315*A^2*B*b^8*c^4 - 10368*A^3*a*b^5*c^6 - 169344*A^3*a^3*b*c^8 - 210*A*B^2*a*b^7*c^4 - 116160*A*B^2*a^4*b*c^7 + 6237*A^2*B*a*b^6*c^5 + 1764*A*B^2*a^2*b^5*c^5 + 4608*A*B^2*a^3*b^3*c^6 - 42372*A^2*B*a^2*b^4*c^6 + 96048*A^2*B*a^3*b^2*c^7)/(32*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)))*(-(9*A^2*b^19 + B^2*a^2*b^17 + 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 + 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 - 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 - 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c - 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*2i + atan(((((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) + (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*1i - (((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*1i)/((((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) - (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) + (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (567*A^3*b^7*c^5 + 8000*B^3*a^5*c^7 + 67824*A^3*a^2*b^3*c^7 - 35*B^3*a^2*b^6*c^4 - 84*B^3*a^3*b^4*c^5 + 12720*B^3*a^4*b^2*c^6 + 141120*A^2*B*a^4*c^8 - 315*A^2*B*b^8*c^4 - 10368*A^3*a*b^5*c^6 - 169344*A^3*a^3*b*c^8 - 210*A*B^2*a*b^7*c^4 - 116160*A*B^2*a^4*b*c^7 + 6237*A^2*B*a*b^6*c^5 + 1764*A*B^2*a^2*b^5*c^5 + 4608*A*B^2*a^3*b^3*c^6 - 42372*A^2*B*a^2*b^4*c^6 + 96048*A^2*B*a^3*b^2*c^7)/(32*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (((1048576*B*a^9*b*c^8 - 5505024*A*a^9*c^9 + 192*A*a^2*b^14*c^2 - 5568*A*a^3*b^12*c^3 + 70656*A*a^4*b^10*c^4 - 506880*A*a^5*b^8*c^5 + 2211840*A*a^6*b^6*c^6 - 5849088*A*a^7*b^4*c^7 + 8650752*A*a^8*b^2*c^8 + 64*B*a^3*b^13*c^2 - 2304*B*a^4*b^11*c^3 + 30720*B*a^5*b^9*c^4 - 204800*B*a^6*b^7*c^5 + 737280*B*a^7*b^5*c^6 - 1376256*B*a^8*b^3*c^7)/(64*(a^4*b^12 + 4096*a^10*c^6 - 24*a^5*b^10*c + 240*a^6*b^8*c^2 - 1280*a^7*b^6*c^3 + 3840*a^8*b^4*c^4 - 6144*a^9*b^2*c^5)) + (x^(1/2)*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*(65536*a^9*b*c^7 - 64*a^4*b^11*c^2 + 1280*a^5*b^9*c^3 - 10240*a^6*b^7*c^4 + 40960*a^7*b^5*c^5 - 81920*a^8*b^3*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2) - (x^(1/2)*(14112*A^2*a^4*c^7 + 9*A^2*b^8*c^3 - 800*B^2*a^5*c^6 + 1530*A^2*a^2*b^4*c^5 - 6192*A^2*a^3*b^2*c^6 + B^2*a^2*b^6*c^3 - 34*B^2*a^3*b^4*c^4 + 1472*B^2*a^4*b^2*c^5 - 180*A^2*a*b^6*c^4 - 162*A*B*a^2*b^5*c^4 + 1104*A*B*a^3*b^3*c^5 + 6*A*B*a*b^7*c^3 - 6816*A*B*a^4*b*c^6))/(8*(a^4*b^8 + 256*a^8*c^4 - 16*a^5*b^6*c + 96*a^6*b^4*c^2 - 256*a^7*b^2*c^3)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)))*(-(9*A^2*b^19 + B^2*a^2*b^17 - 9*A^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 6*A*B*a*b^18 + 6921*A^2*a^2*b^15*c^2 - 77580*A^2*a^3*b^13*c^3 + 570960*A^2*a^4*b^11*c^4 - 2851776*A^2*a^5*b^9*c^5 + 9628416*A^2*a^6*b^7*c^6 - 21095424*A^2*a^7*b^5*c^7 + 27095040*A^2*a^8*b^3*c^8 - 441*A^2*a^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^2*(-(4*a*c - b^2)^15)^(1/2) + 1140*B^2*a^4*b^13*c^2 - 10160*B^2*a^5*b^11*c^3 + 34880*B^2*a^6*b^9*c^4 + 43776*B^2*a^7*b^7*c^5 - 680960*B^2*a^8*b^5*c^6 + 1863680*B^2*a^9*b^3*c^7 + 6881280*A*B*a^10*c^9 - 369*A^2*a*b^17*c - 15482880*A^2*a^9*b*c^9 - 55*B^2*a^3*b^15*c - 1720320*B^2*a^10*b*c^8 + 25*B^2*a^3*c*(-(4*a*c - b^2)^15)^(1/2) + 5580*A*B*a^3*b^14*c^2 - 59280*A*B*a^4*b^12*c^3 + 377280*A*B*a^5*b^10*c^4 - 1430784*A*B*a^6*b^8*c^5 + 2860032*A*B*a^7*b^6*c^6 - 1290240*A*B*a^8*b^4*c^7 - 5160960*A*B*a^9*b^2*c^8 + 99*A^2*a*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 6*A*B*a*b^3*(-(4*a*c - b^2)^15)^(1/2) - 288*A*B*a^2*b^16*c + 108*A*B*a^2*b*c*(-(4*a*c - b^2)^15)^(1/2))/(128*(a^5*b^20 + 1048576*a^15*c^10 - 40*a^6*b^18*c + 720*a^7*b^16*c^2 - 7680*a^8*b^14*c^3 + 53760*a^9*b^12*c^4 - 258048*a^10*b^10*c^5 + 860160*a^11*b^8*c^6 - 1966080*a^12*b^6*c^7 + 2949120*a^13*b^4*c^8 - 2621440*a^14*b^2*c^9)))^(1/2)*2i","B"
1028,1,29137,664,8.044310,"\text{Not used}","int((A + B*x)/(x^(3/2)*(a + b*x + c*x^2)^3),x)","-\frac{\frac{2\,A}{a}-\frac{x^3\,\left(28\,B\,a^3\,c^3-49\,B\,a^2\,b^2\,c^2-392\,A\,a^2\,b\,c^3+6\,B\,a\,b^4\,c+227\,A\,a\,b^3\,c^2-30\,A\,b^5\,c\right)}{4\,a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(-44\,B\,a^3\,c^2+37\,B\,a^2\,b^2\,c+364\,A\,a^2\,b\,c^2-5\,B\,a\,b^4-194\,A\,a\,b^3\,c+25\,A\,b^5\right)}{4\,a^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(4\,B\,a^3\,b\,c^2+324\,A\,a^3\,c^3+20\,B\,a^2\,b^3\,c+25\,A\,a^2\,b^2\,c^2-3\,B\,a\,b^5-91\,A\,a\,b^4\,c+15\,A\,b^6\right)}{4\,a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{3\,c\,x^4\,\left(8\,B\,a^2\,b\,c^2+60\,A\,a^2\,c^3-B\,a\,b^3\,c-37\,A\,a\,b^2\,c^2+5\,A\,b^4\,c\right)}{4\,a^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^{5/2}\,\left(b^2+2\,a\,c\right)+a^2\,\sqrt{x}+c^2\,x^{9/2}+2\,a\,b\,x^{3/2}+2\,b\,c\,x^{7/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{x}\,\left(33973862400\,A^2\,a^{20}\,c^{14}-137631891456\,A^2\,a^{19}\,b^2\,c^{13}+218414186496\,A^2\,a^{18}\,b^4\,c^{12}-192980975616\,A^2\,a^{17}\,b^6\,c^{11}+108726976512\,A^2\,a^{16}\,b^8\,c^{10}-41653370880\,A^2\,a^{15}\,b^{10}\,c^9+11171856384\,A^2\,a^{14}\,b^{12}\,c^8-2109763584\,A^2\,a^{13}\,b^{14}\,c^7+275975424\,A^2\,a^{12}\,b^{16}\,c^6-23879808\,A^2\,a^{11}\,b^{18}\,c^5+1232640\,A^2\,a^{10}\,b^{20}\,c^4-28800\,A^2\,a^9\,b^{22}\,c^3+41825599488\,A\,B\,a^{20}\,b\,c^{13}-89992986624\,A\,B\,a^{19}\,b^3\,c^{12}+87350575104\,A\,B\,a^{18}\,b^5\,c^{11}-50422874112\,A\,B\,a^{17}\,b^7\,c^{10}+19191693312\,A\,B\,a^{16}\,b^9\,c^9-5038866432\,A\,B\,a^{15}\,b^{11}\,c^8+925433856\,A\,B\,a^{14}\,b^{13}\,c^7-117559296\,A\,B\,a^{13}\,b^{15}\,c^6+9900288\,A\,B\,a^{12}\,b^{17}\,c^5-499968\,A\,B\,a^{11}\,b^{19}\,c^4+11520\,A\,B\,a^{10}\,b^{21}\,c^3-7398752256\,B^2\,a^{21}\,c^{13}+14344519680\,B^2\,a^{20}\,b^2\,c^{12}-12608077824\,B^2\,a^{19}\,b^4\,c^{11}+6653214720\,B^2\,a^{18}\,b^6\,c^{10}-2346319872\,B^2\,a^{17}\,b^8\,c^9+579796992\,B^2\,a^{16}\,b^{10}\,c^8-101744640\,B^2\,a^{15}\,b^{12}\,c^7+12496896\,B^2\,a^{14}\,b^{14}\,c^6-1025280\,B^2\,a^{13}\,b^{16}\,c^5+50688\,B^2\,a^{12}\,b^{18}\,c^4-1152\,B^2\,a^{11}\,b^{20}\,c^3\right)+\sqrt{-\frac{9\,\left(25\,A^2\,b^{21}+B^2\,a^2\,b^{19}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^{20}+17794\,A^2\,a^2\,b^{17}\,c^2-188095\,A^2\,a^3\,b^{15}\,c^3+1299860\,A^2\,a^4\,b^{13}\,c^4-6126640\,A^2\,a^5\,b^{11}\,c^5+19905600\,A^2\,a^6\,b^9\,c^6-43904256\,A^2\,a^7\,b^7\,c^7+62684160\,A^2\,a^8\,b^5\,c^8-52039680\,A^2\,a^9\,b^3\,c^9-225\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+769\,B^2\,a^4\,b^{15}\,c^2-8620\,B^2\,a^5\,b^{13}\,c^3+63440\,B^2\,a^6\,b^{11}\,c^4-316864\,B^2\,a^7\,b^9\,c^5+1069824\,B^2\,a^8\,b^7\,c^6-2343936\,B^2\,a^9\,b^5\,c^7+3010560\,B^2\,a^{10}\,b^3\,c^8+49\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6881280\,A\,B\,a^{11}\,c^{10}-995\,A^2\,a\,b^{19}\,c+18923520\,A^2\,a^{10}\,b\,c^{10}-41\,B^2\,a^3\,b^{17}\,c-1720320\,B^2\,a^{11}\,b\,c^9+694\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-7402\,A\,B\,a^3\,b^{16}\,c^2+80620\,A\,B\,a^4\,b^{14}\,c^3-575120\,A\,B\,a^5\,b^{12}\,c^4+2791360\,A\,B\,a^6\,b^{10}\,c^5-9267456\,A\,B\,a^7\,b^8\,c^6+20579328\,A\,B\,a^8\,b^6\,c^7-28815360\,A\,B\,a^9\,b^4\,c^8+22364160\,A\,B\,a^{10}\,b^2\,c^9-245\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-11\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+404\,A\,B\,a^2\,b^{18}\,c+104\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-382\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{128\,\left(1048576\,a^{17}\,c^{10}-2621440\,a^{16}\,b^2\,c^9+2949120\,a^{15}\,b^4\,c^8-1966080\,a^{14}\,b^6\,c^7+860160\,a^{13}\,b^8\,c^6-258048\,a^{12}\,b^{10}\,c^5+53760\,a^{11}\,b^{12}\,c^4-7680\,a^{10}\,b^{14}\,c^3+720\,a^9\,b^{16}\,c^2-40\,a^8\,b^{18}\,c+a^7\,b^{20}\right)}}\,\left(\sqrt{x}\,\sqrt{-\frac{9\,\left(25\,A^2\,b^{21}+B^2\,a^2\,b^{19}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^{20}+17794\,A^2\,a^2\,b^{17}\,c^2-188095\,A^2\,a^3\,b^{15}\,c^3+1299860\,A^2\,a^4\,b^{13}\,c^4-6126640\,A^2\,a^5\,b^{11}\,c^5+19905600\,A^2\,a^6\,b^9\,c^6-43904256\,A^2\,a^7\,b^7\,c^7+62684160\,A^2\,a^8\,b^5\,c^8-52039680\,A^2\,a^9\,b^3\,c^9-225\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+769\,B^2\,a^4\,b^{15}\,c^2-8620\,B^2\,a^5\,b^{13}\,c^3+63440\,B^2\,a^6\,b^{11}\,c^4-316864\,B^2\,a^7\,b^9\,c^5+1069824\,B^2\,a^8\,b^7\,c^6-2343936\,B^2\,a^9\,b^5\,c^7+3010560\,B^2\,a^{10}\,b^3\,c^8+49\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6881280\,A\,B\,a^{11}\,c^{10}-995\,A^2\,a\,b^{19}\,c+18923520\,A^2\,a^{10}\,b\,c^{10}-41\,B^2\,a^3\,b^{17}\,c-1720320\,B^2\,a^{11}\,b\,c^9+694\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-7402\,A\,B\,a^3\,b^{16}\,c^2+80620\,A\,B\,a^4\,b^{14}\,c^3-575120\,A\,B\,a^5\,b^{12}\,c^4+2791360\,A\,B\,a^6\,b^{10}\,c^5-9267456\,A\,B\,a^7\,b^8\,c^6+20579328\,A\,B\,a^8\,b^6\,c^7-28815360\,A\,B\,a^9\,b^4\,c^8+22364160\,A\,B\,a^{10}\,b^2\,c^9-245\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-11\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+404\,A\,B\,a^2\,b^{18}\,c+104\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-382\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{128\,\left(1048576\,a^{17}\,c^{10}-2621440\,a^{16}\,b^2\,c^9+2949120\,a^{15}\,b^4\,c^8-1966080\,a^{14}\,b^6\,c^7+860160\,a^{13}\,b^8\,c^6-258048\,a^{12}\,b^{10}\,c^5+53760\,a^{11}\,b^{12}\,c^4-7680\,a^{10}\,b^{14}\,c^3+720\,a^9\,b^{16}\,c^2-40\,a^8\,b^{18}\,c+a^7\,b^{20}\right)}}\,\left(34359738368\,a^{26}\,b\,c^{13}-94489280512\,a^{25}\,b^3\,c^{12}+118111600640\,a^{24}\,b^5\,c^{11}-88583700480\,a^{23}\,b^7\,c^{10}+44291850240\,a^{22}\,b^9\,c^9-15502147584\,a^{21}\,b^{11}\,c^8+3875536896\,a^{20}\,b^{13}\,c^7-692060160\,a^{19}\,b^{15}\,c^6+86507520\,a^{18}\,b^{17}\,c^5-7208960\,a^{17}\,b^{19}\,c^4+360448\,a^{16}\,b^{21}\,c^3-8192\,a^{15}\,b^{23}\,c^2\right)-22548578304\,B\,a^{24}\,c^{13}+74088185856\,A\,a^{23}\,b\,c^{13}-15360\,A\,a^{12}\,b^{23}\,c^2+681984\,A\,a^{13}\,b^{21}\,c^3-13774848\,A\,a^{14}\,b^{19}\,c^4+167067648\,A\,a^{15}\,b^{17}\,c^5-1351876608\,A\,a^{16}\,b^{15}\,c^6+7662993408\,A\,a^{17}\,b^{13}\,c^7-31048335360\,A\,a^{18}\,b^{11}\,c^8+89917489152\,A\,a^{19}\,b^9\,c^9-182401892352\,A\,a^{20}\,b^7\,c^{10}+246826401792\,A\,a^{21}\,b^5\,c^{11}-200521285632\,A\,a^{22}\,b^3\,c^{12}+3072\,B\,a^{13}\,b^{22}\,c^2-138240\,B\,a^{14}\,b^{20}\,c^3+2850816\,B\,a^{15}\,b^{18}\,c^4-35536896\,B\,a^{16}\,b^{16}\,c^5+297271296\,B\,a^{17}\,b^{14}\,c^6-1750597632\,B\,a^{18}\,b^{12}\,c^7+7398752256\,B\,a^{19}\,b^{10}\,c^8-22422749184\,B\,a^{20}\,b^8\,c^9+47714402304\,B\,a^{21}\,b^6\,c^{10}-67847061504\,B\,a^{22}\,b^4\,c^{11}+57982058496\,B\,a^{23}\,b^2\,c^{12}\right)\right)\,\sqrt{-\frac{9\,\left(25\,A^2\,b^{21}+B^2\,a^2\,b^{19}+25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^{20}+17794\,A^2\,a^2\,b^{17}\,c^2-188095\,A^2\,a^3\,b^{15}\,c^3+1299860\,A^2\,a^4\,b^{13}\,c^4-6126640\,A^2\,a^5\,b^{11}\,c^5+19905600\,A^2\,a^6\,b^9\,c^6-43904256\,A^2\,a^7\,b^7\,c^7+62684160\,A^2\,a^8\,b^5\,c^8-52039680\,A^2\,a^9\,b^3\,c^9-225\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+769\,B^2\,a^4\,b^{15}\,c^2-8620\,B^2\,a^5\,b^{13}\,c^3+63440\,B^2\,a^6\,b^{11}\,c^4-316864\,B^2\,a^7\,b^9\,c^5+1069824\,B^2\,a^8\,b^7\,c^6-2343936\,B^2\,a^9\,b^5\,c^7+3010560\,B^2\,a^{10}\,b^3\,c^8+49\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6881280\,A\,B\,a^{11}\,c^{10}-995\,A^2\,a\,b^{19}\,c+18923520\,A^2\,a^{10}\,b\,c^{10}-41\,B^2\,a^3\,b^{17}\,c-1720320\,B^2\,a^{11}\,b\,c^9+694\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-7402\,A\,B\,a^3\,b^{16}\,c^2+80620\,A\,B\,a^4\,b^{14}\,c^3-575120\,A\,B\,a^5\,b^{12}\,c^4+2791360\,A\,B\,a^6\,b^{10}\,c^5-9267456\,A\,B\,a^7\,b^8\,c^6+20579328\,A\,B\,a^8\,b^6\,c^7-28815360\,A\,B\,a^9\,b^4\,c^8+22364160\,A\,B\,a^{10}\,b^2\,c^9-245\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-11\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+404\,A\,B\,a^2\,b^{18}\,c+104\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-382\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{128\,\left(1048576\,a^{17}\,c^{10}-2621440\,a^{16}\,b^2\,c^9+2949120\,a^{15}\,b^4\,c^8-1966080\,a^{14}\,b^6\,c^7+860160\,a^{13}\,b^8\,c^6-258048\,a^{12}\,b^{10}\,c^5+53760\,a^{11}\,b^{12}\,c^4-7680\,a^{10}\,b^{14}\,c^3+720\,a^9\,b^{16}\,c^2-40\,a^8\,b^{18}\,c+a^7\,b^{20}\right)}}\,1{}\mathrm{i}+\left(\sqrt{x}\,\left(33973862400\,A^2\,a^{20}\,c^{14}-137631891456\,A^2\,a^{19}\,b^2\,c^{13}+218414186496\,A^2\,a^{18}\,b^4\,c^{12}-192980975616\,A^2\,a^{17}\,b^6\,c^{11}+108726976512\,A^2\,a^{16}\,b^8\,c^{10}-41653370880\,A^2\,a^{15}\,b^{10}\,c^9+11171856384\,A^2\,a^{14}\,b^{12}\,c^8-2109763584\,A^2\,a^{13}\,b^{14}\,c^7+275975424\,A^2\,a^{12}\,b^{16}\,c^6-23879808\,A^2\,a^{11}\,b^{18}\,c^5+1232640\,A^2\,a^{10}\,b^{20}\,c^4-28800\,A^2\,a^9\,b^{22}\,c^3+41825599488\,A\,B\,a^{20}\,b\,c^{13}-89992986624\,A\,B\,a^{19}\,b^3\,c^{12}+87350575104\,A\,B\,a^{18}\,b^5\,c^{11}-50422874112\,A\,B\,a^{17}\,b^7\,c^{10}+19191693312\,A\,B\,a^{16}\,b^9\,c^9-5038866432\,A\,B\,a^{15}\,b^{11}\,c^8+925433856\,A\,B\,a^{14}\,b^{13}\,c^7-117559296\,A\,B\,a^{13}\,b^{15}\,c^6+9900288\,A\,B\,a^{12}\,b^{17}\,c^5-499968\,A\,B\,a^{11}\,b^{19}\,c^4+11520\,A\,B\,a^{10}\,b^{21}\,c^3-7398752256\,B^2\,a^{21}\,c^{13}+14344519680\,B^2\,a^{20}\,b^2\,c^{12}-12608077824\,B^2\,a^{19}\,b^4\,c^{11}+6653214720\,B^2\,a^{18}\,b^6\,c^{10}-2346319872\,B^2\,a^{17}\,b^8\,c^9+579796992\,B^2\,a^{16}\,b^{10}\,c^8-101744640\,B^2\,a^{15}\,b^{12}\,c^7+12496896\,B^2\,a^{14}\,b^{14}\,c^6-1025280\,B^2\,a^{13}\,b^{16}\,c^5+50688\,B^2\,a^{12}\,b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8335360\,A\,a^{18}\,b^{11}\,c^8-89917489152\,A\,a^{19}\,b^9\,c^9+182401892352\,A\,a^{20}\,b^7\,c^{10}-246826401792\,A\,a^{21}\,b^5\,c^{11}+200521285632\,A\,a^{22}\,b^3\,c^{12}-3072\,B\,a^{13}\,b^{22}\,c^2+138240\,B\,a^{14}\,b^{20}\,c^3-2850816\,B\,a^{15}\,b^{18}\,c^4+35536896\,B\,a^{16}\,b^{16}\,c^5-297271296\,B\,a^{17}\,b^{14}\,c^6+1750597632\,B\,a^{18}\,b^{12}\,c^7-7398752256\,B\,a^{19}\,b^{10}\,c^8+22422749184\,B\,a^{20}\,b^8\,c^9-47714402304\,B\,a^{21}\,b^6\,c^{10}+67847061504\,B\,a^{22}\,b^4\,c^{11}-57982058496\,B\,a^{23}\,b^2\,c^{12}\right)\right)\,\sqrt{-\frac{9\,\left(25\,A^2\,b^{21}+B^2\,a^2\,b^{19}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^{20}+17794\,A^2\,a^2\,b^{17}\,c^2-188095\,A^2\,a^3\,b^{15}\,c^3+1299860\,A^2\,a^4\,b^{13}\,c^4-6126640\,A^2\,a^5\,b^{11}\,c^5+19905600\,A^2\,a^6\,b^9\,c^6-43904256\,A^2\,a^7\,b^7\,c^7+62684160\,A^2\,a^8\,b^5\,c^8-52039680\,A^2\,a^9\,b^3\,c^9+225\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+769\,B^2\,a^4\,b^{15}\,c^2-8620\,B^2\,a^5\,b^{13}\,c^3+63440\,B^2\,a^6\,b^{11}\,c^4-316864\,B^2\,a^7\,b^9\,c^5+1069824\,B^2\,a^8\,b^7\,c^6-2343936\,B^2\,a^9\,b^5\,c^7+3010560\,B^2\,a^{10}\,b^3\,c^8-49\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6881280\,A\,B\,a^{11}\,c^{10}-995\,A^2\,a\,b^{19}\,c+18923520\,A^2\,a^{10}\,b\,c^{10}-41\,B^2\,a^3\,b^{17}\,c-1720320\,B^2\,a^{11}\,b\,c^9-694\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-7402\,A\,B\,a^3\,b^{16}\,c^2+80620\,A\,B\,a^4\,b^{14}\,c^3-575120\,A\,B\,a^5\,b^{12}\,c^4+2791360\,A\,B\,a^6\,b^{10}\,c^5-9267456\,A\,B\,a^7\,b^8\,c^6+20579328\,A\,B\,a^8\,b^6\,c^7-28815360\,A\,B\,a^9\,b^4\,c^8+22364160\,A\,B\,a^{10}\,b^2\,c^9+245\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+11\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+10\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+404\,A\,B\,a^2\,b^{18}\,c-104\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+382\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{128\,\left(1048576\,a^{17}\,c^{10}-2621440\,a^{16}\,b^2\,c^9+2949120\,a^{15}\,b^4\,c^8-1966080\,a^{14}\,b^6\,c^7+860160\,a^{13}\,b^8\,c^6-258048\,a^{12}\,b^{10}\,c^5+53760\,a^{11}\,b^{12}\,c^4-7680\,a^{10}\,b^{14}\,c^3+720\,a^9\,b^{16}\,c^2-40\,a^8\,b^{18}\,c+a^7\,b^{20}\right)}}+47775744000\,A^3\,a^{17}\,c^{14}+712800\,A^3\,a^9\,b^{16}\,c^6-23142240\,A^3\,a^{10}\,b^{14}\,c^7+328157568\,A^3\,a^{11}\,b^{12}\,c^8-2652784128\,A^3\,a^{12}\,b^{10}\,c^9+13361338368\,A^3\,a^{13}\,b^8\,c^{10}-42897973248\,A^3\,a^{14}\,b^6\,c^{11}+85645099008\,A^3\,a^{15}\,b^4\,c^{12}-97090928640\,A^3\,a^{16}\,b^2\,c^{13}-18144\,B^3\,a^{11}\,b^{15}\,c^5+622080\,B^3\,a^{12}\,b^{13}\,c^6-9220608\,B^3\,a^{13}\,b^{11}\,c^7+76640256\,B^3\,a^{14}\,b^9\,c^8-384638976\,B^3\,a^{15}\,b^7\,c^9+1160773632\,B^3\,a^{16}\,b^5\,c^{10}-1942880256\,B^3\,a^{17}\,b^3\,c^{11}+10404495360\,A\,B^2\,a^{18}\,c^{13}+1387266048\,B^3\,a^{18}\,b\,c^{12}-26966753280\,A^2\,B\,a^{17}\,b\,c^{13}+181440\,A\,B^2\,a^{10}\,b^{16}\,c^5-6083424\,A\,B^2\,a^{11}\,b^{14}\,c^6+88656768\,A\,B^2\,a^{12}\,b^{12}\,c^7-731026944\,A\,B^2\,a^{13}\,b^{10}\,c^8+3713071104\,A\,B^2\,a^{14}\,b^8\,c^9-11822505984\,A\,B^2\,a^{15}\,b^6\,c^{10}+22839459840\,A\,B^2\,a^{16}\,b^4\,c^{11}-24132059136\,A\,B^2\,a^{17}\,b^2\,c^{12}-453600\,A^2\,B\,a^9\,b^{17}\,c^5+14722560\,A^2\,B\,a^{10}\,b^{15}\,c^6-208303488\,A^2\,B\,a^{11}\,b^{13}\,c^7+1675717632\,A^2\,B\,a^{12}\,b^{11}\,c^8-8368883712\,A^2\,B\,a^{13}\,b^9\,c^9+26512883712\,A^2\,B\,a^{14}\,b^7\,c^{10}-51887112192\,A^2\,B\,a^{15}\,b^5\,c^{11}+57139789824\,A^2\,B\,a^{16}\,b^3\,c^{12}}\right)\,\sqrt{-\frac{9\,\left(25\,A^2\,b^{21}+B^2\,a^2\,b^{19}-25\,A^2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-10\,A\,B\,a\,b^{20}+17794\,A^2\,a^2\,b^{17}\,c^2-188095\,A^2\,a^3\,b^{15}\,c^3+1299860\,A^2\,a^4\,b^{13}\,c^4-6126640\,A^2\,a^5\,b^{11}\,c^5+19905600\,A^2\,a^6\,b^9\,c^6-43904256\,A^2\,a^7\,b^7\,c^7+62684160\,A^2\,a^8\,b^5\,c^8-52039680\,A^2\,a^9\,b^3\,c^9+225\,A^2\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-B^2\,a^2\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+769\,B^2\,a^4\,b^{15}\,c^2-8620\,B^2\,a^5\,b^{13}\,c^3+63440\,B^2\,a^6\,b^{11}\,c^4-316864\,B^2\,a^7\,b^9\,c^5+1069824\,B^2\,a^8\,b^7\,c^6-2343936\,B^2\,a^9\,b^5\,c^7+3010560\,B^2\,a^{10}\,b^3\,c^8-49\,B^2\,a^4\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-6881280\,A\,B\,a^{11}\,c^{10}-995\,A^2\,a\,b^{19}\,c+18923520\,A^2\,a^{10}\,b\,c^{10}-41\,B^2\,a^3\,b^{17}\,c-1720320\,B^2\,a^{11}\,b\,c^9-694\,A^2\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}-7402\,A\,B\,a^3\,b^{16}\,c^2+80620\,A\,B\,a^4\,b^{14}\,c^3-575120\,A\,B\,a^5\,b^{12}\,c^4+2791360\,A\,B\,a^6\,b^{10}\,c^5-9267456\,A\,B\,a^7\,b^8\,c^6+20579328\,A\,B\,a^8\,b^6\,c^7-28815360\,A\,B\,a^9\,b^4\,c^8+22364160\,A\,B\,a^{10}\,b^2\,c^9+245\,A^2\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+11\,B^2\,a^3\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+10\,A\,B\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+404\,A\,B\,a^2\,b^{18}\,c-104\,A\,B\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}+382\,A\,B\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^{15}}\right)}{128\,\left(1048576\,a^{17}\,c^{10}-2621440\,a^{16}\,b^2\,c^9+2949120\,a^{15}\,b^4\,c^8-1966080\,a^{14}\,b^6\,c^7+860160\,a^{13}\,b^8\,c^6-258048\,a^{12}\,b^{10}\,c^5+53760\,a^{11}\,b^{12}\,c^4-7680\,a^{10}\,b^{14}\,c^3+720\,a^9\,b^{16}\,c^2-40\,a^8\,b^{18}\,c+a^7\,b^{20}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) - 22548578304*B*a^24*c^13 + 74088185856*A*a^23*b*c^13 - 15360*A*a^12*b^23*c^2 + 681984*A*a^13*b^21*c^3 - 13774848*A*a^14*b^19*c^4 + 167067648*A*a^15*b^17*c^5 - 1351876608*A*a^16*b^15*c^6 + 7662993408*A*a^17*b^13*c^7 - 31048335360*A*a^18*b^11*c^8 + 89917489152*A*a^19*b^9*c^9 - 182401892352*A*a^20*b^7*c^10 + 246826401792*A*a^21*b^5*c^11 - 200521285632*A*a^22*b^3*c^12 + 3072*B*a^13*b^22*c^2 - 138240*B*a^14*b^20*c^3 + 2850816*B*a^15*b^18*c^4 - 35536896*B*a^16*b^16*c^5 + 297271296*B*a^17*b^14*c^6 - 1750597632*B*a^18*b^12*c^7 + 7398752256*B*a^19*b^10*c^8 - 22422749184*B*a^20*b^8*c^9 + 47714402304*B*a^21*b^6*c^10 - 67847061504*B*a^22*b^4*c^11 + 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*1i + (x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) + 22548578304*B*a^24*c^13 - 74088185856*A*a^23*b*c^13 + 15360*A*a^12*b^23*c^2 - 681984*A*a^13*b^21*c^3 + 13774848*A*a^14*b^19*c^4 - 167067648*A*a^15*b^17*c^5 + 1351876608*A*a^16*b^15*c^6 - 7662993408*A*a^17*b^13*c^7 + 31048335360*A*a^18*b^11*c^8 - 89917489152*A*a^19*b^9*c^9 + 182401892352*A*a^20*b^7*c^10 - 246826401792*A*a^21*b^5*c^11 + 200521285632*A*a^22*b^3*c^12 - 3072*B*a^13*b^22*c^2 + 138240*B*a^14*b^20*c^3 - 2850816*B*a^15*b^18*c^4 + 35536896*B*a^16*b^16*c^5 - 297271296*B*a^17*b^14*c^6 + 1750597632*B*a^18*b^12*c^7 - 7398752256*B*a^19*b^10*c^8 + 22422749184*B*a^20*b^8*c^9 - 47714402304*B*a^21*b^6*c^10 + 67847061504*B*a^22*b^4*c^11 - 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*1i)/((x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) - 22548578304*B*a^24*c^13 + 74088185856*A*a^23*b*c^13 - 15360*A*a^12*b^23*c^2 + 681984*A*a^13*b^21*c^3 - 13774848*A*a^14*b^19*c^4 + 167067648*A*a^15*b^17*c^5 - 1351876608*A*a^16*b^15*c^6 + 7662993408*A*a^17*b^13*c^7 - 31048335360*A*a^18*b^11*c^8 + 89917489152*A*a^19*b^9*c^9 - 182401892352*A*a^20*b^7*c^10 + 246826401792*A*a^21*b^5*c^11 - 200521285632*A*a^22*b^3*c^12 + 3072*B*a^13*b^22*c^2 - 138240*B*a^14*b^20*c^3 + 2850816*B*a^15*b^18*c^4 - 35536896*B*a^16*b^16*c^5 + 297271296*B*a^17*b^14*c^6 - 1750597632*B*a^18*b^12*c^7 + 7398752256*B*a^19*b^10*c^8 - 22422749184*B*a^20*b^8*c^9 + 47714402304*B*a^21*b^6*c^10 - 67847061504*B*a^22*b^4*c^11 + 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2) - (x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) + 22548578304*B*a^24*c^13 - 74088185856*A*a^23*b*c^13 + 15360*A*a^12*b^23*c^2 - 681984*A*a^13*b^21*c^3 + 13774848*A*a^14*b^19*c^4 - 167067648*A*a^15*b^17*c^5 + 1351876608*A*a^16*b^15*c^6 - 7662993408*A*a^17*b^13*c^7 + 31048335360*A*a^18*b^11*c^8 - 89917489152*A*a^19*b^9*c^9 + 182401892352*A*a^20*b^7*c^10 - 246826401792*A*a^21*b^5*c^11 + 200521285632*A*a^22*b^3*c^12 - 3072*B*a^13*b^22*c^2 + 138240*B*a^14*b^20*c^3 - 2850816*B*a^15*b^18*c^4 + 35536896*B*a^16*b^16*c^5 - 297271296*B*a^17*b^14*c^6 + 1750597632*B*a^18*b^12*c^7 - 7398752256*B*a^19*b^10*c^8 + 22422749184*B*a^20*b^8*c^9 - 47714402304*B*a^21*b^6*c^10 + 67847061504*B*a^22*b^4*c^11 - 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2) + 47775744000*A^3*a^17*c^14 + 712800*A^3*a^9*b^16*c^6 - 23142240*A^3*a^10*b^14*c^7 + 328157568*A^3*a^11*b^12*c^8 - 2652784128*A^3*a^12*b^10*c^9 + 13361338368*A^3*a^13*b^8*c^10 - 42897973248*A^3*a^14*b^6*c^11 + 85645099008*A^3*a^15*b^4*c^12 - 97090928640*A^3*a^16*b^2*c^13 - 18144*B^3*a^11*b^15*c^5 + 622080*B^3*a^12*b^13*c^6 - 9220608*B^3*a^13*b^11*c^7 + 76640256*B^3*a^14*b^9*c^8 - 384638976*B^3*a^15*b^7*c^9 + 1160773632*B^3*a^16*b^5*c^10 - 1942880256*B^3*a^17*b^3*c^11 + 10404495360*A*B^2*a^18*c^13 + 1387266048*B^3*a^18*b*c^12 - 26966753280*A^2*B*a^17*b*c^13 + 181440*A*B^2*a^10*b^16*c^5 - 6083424*A*B^2*a^11*b^14*c^6 + 88656768*A*B^2*a^12*b^12*c^7 - 731026944*A*B^2*a^13*b^10*c^8 + 3713071104*A*B^2*a^14*b^8*c^9 - 11822505984*A*B^2*a^15*b^6*c^10 + 22839459840*A*B^2*a^16*b^4*c^11 - 24132059136*A*B^2*a^17*b^2*c^12 - 453600*A^2*B*a^9*b^17*c^5 + 14722560*A^2*B*a^10*b^15*c^6 - 208303488*A^2*B*a^11*b^13*c^7 + 1675717632*A^2*B*a^12*b^11*c^8 - 8368883712*A^2*B*a^13*b^9*c^9 + 26512883712*A^2*B*a^14*b^7*c^10 - 51887112192*A^2*B*a^15*b^5*c^11 + 57139789824*A^2*B*a^16*b^3*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 + 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 - 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) + B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 + 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 + 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 - 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) - 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c + 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) - 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*2i - atan(((x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) - 22548578304*B*a^24*c^13 + 74088185856*A*a^23*b*c^13 - 15360*A*a^12*b^23*c^2 + 681984*A*a^13*b^21*c^3 - 13774848*A*a^14*b^19*c^4 + 167067648*A*a^15*b^17*c^5 - 1351876608*A*a^16*b^15*c^6 + 7662993408*A*a^17*b^13*c^7 - 31048335360*A*a^18*b^11*c^8 + 89917489152*A*a^19*b^9*c^9 - 182401892352*A*a^20*b^7*c^10 + 246826401792*A*a^21*b^5*c^11 - 200521285632*A*a^22*b^3*c^12 + 3072*B*a^13*b^22*c^2 - 138240*B*a^14*b^20*c^3 + 2850816*B*a^15*b^18*c^4 - 35536896*B*a^16*b^16*c^5 + 297271296*B*a^17*b^14*c^6 - 1750597632*B*a^18*b^12*c^7 + 7398752256*B*a^19*b^10*c^8 - 22422749184*B*a^20*b^8*c^9 + 47714402304*B*a^21*b^6*c^10 - 67847061504*B*a^22*b^4*c^11 + 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*1i + (x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) + 22548578304*B*a^24*c^13 - 74088185856*A*a^23*b*c^13 + 15360*A*a^12*b^23*c^2 - 681984*A*a^13*b^21*c^3 + 13774848*A*a^14*b^19*c^4 - 167067648*A*a^15*b^17*c^5 + 1351876608*A*a^16*b^15*c^6 - 7662993408*A*a^17*b^13*c^7 + 31048335360*A*a^18*b^11*c^8 - 89917489152*A*a^19*b^9*c^9 + 182401892352*A*a^20*b^7*c^10 - 246826401792*A*a^21*b^5*c^11 + 200521285632*A*a^22*b^3*c^12 - 3072*B*a^13*b^22*c^2 + 138240*B*a^14*b^20*c^3 - 2850816*B*a^15*b^18*c^4 + 35536896*B*a^16*b^16*c^5 - 297271296*B*a^17*b^14*c^6 + 1750597632*B*a^18*b^12*c^7 - 7398752256*B*a^19*b^10*c^8 + 22422749184*B*a^20*b^8*c^9 - 47714402304*B*a^21*b^6*c^10 + 67847061504*B*a^22*b^4*c^11 - 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*1i)/((x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) - 22548578304*B*a^24*c^13 + 74088185856*A*a^23*b*c^13 - 15360*A*a^12*b^23*c^2 + 681984*A*a^13*b^21*c^3 - 13774848*A*a^14*b^19*c^4 + 167067648*A*a^15*b^17*c^5 - 1351876608*A*a^16*b^15*c^6 + 7662993408*A*a^17*b^13*c^7 - 31048335360*A*a^18*b^11*c^8 + 89917489152*A*a^19*b^9*c^9 - 182401892352*A*a^20*b^7*c^10 + 246826401792*A*a^21*b^5*c^11 - 200521285632*A*a^22*b^3*c^12 + 3072*B*a^13*b^22*c^2 - 138240*B*a^14*b^20*c^3 + 2850816*B*a^15*b^18*c^4 - 35536896*B*a^16*b^16*c^5 + 297271296*B*a^17*b^14*c^6 - 1750597632*B*a^18*b^12*c^7 + 7398752256*B*a^19*b^10*c^8 - 22422749184*B*a^20*b^8*c^9 + 47714402304*B*a^21*b^6*c^10 - 67847061504*B*a^22*b^4*c^11 + 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2) - (x^(1/2)*(33973862400*A^2*a^20*c^14 - 7398752256*B^2*a^21*c^13 - 28800*A^2*a^9*b^22*c^3 + 1232640*A^2*a^10*b^20*c^4 - 23879808*A^2*a^11*b^18*c^5 + 275975424*A^2*a^12*b^16*c^6 - 2109763584*A^2*a^13*b^14*c^7 + 11171856384*A^2*a^14*b^12*c^8 - 41653370880*A^2*a^15*b^10*c^9 + 108726976512*A^2*a^16*b^8*c^10 - 192980975616*A^2*a^17*b^6*c^11 + 218414186496*A^2*a^18*b^4*c^12 - 137631891456*A^2*a^19*b^2*c^13 - 1152*B^2*a^11*b^20*c^3 + 50688*B^2*a^12*b^18*c^4 - 1025280*B^2*a^13*b^16*c^5 + 12496896*B^2*a^14*b^14*c^6 - 101744640*B^2*a^15*b^12*c^7 + 579796992*B^2*a^16*b^10*c^8 - 2346319872*B^2*a^17*b^8*c^9 + 6653214720*B^2*a^18*b^6*c^10 - 12608077824*B^2*a^19*b^4*c^11 + 14344519680*B^2*a^20*b^2*c^12 + 11520*A*B*a^10*b^21*c^3 - 499968*A*B*a^11*b^19*c^4 + 9900288*A*B*a^12*b^17*c^5 - 117559296*A*B*a^13*b^15*c^6 + 925433856*A*B*a^14*b^13*c^7 - 5038866432*A*B*a^15*b^11*c^8 + 19191693312*A*B*a^16*b^9*c^9 - 50422874112*A*B*a^17*b^7*c^10 + 87350575104*A*B*a^18*b^5*c^11 - 89992986624*A*B*a^19*b^3*c^12 + 41825599488*A*B*a^20*b*c^13) + (-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(x^(1/2)*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*(34359738368*a^26*b*c^13 - 8192*a^15*b^23*c^2 + 360448*a^16*b^21*c^3 - 7208960*a^17*b^19*c^4 + 86507520*a^18*b^17*c^5 - 692060160*a^19*b^15*c^6 + 3875536896*a^20*b^13*c^7 - 15502147584*a^21*b^11*c^8 + 44291850240*a^22*b^9*c^9 - 88583700480*a^23*b^7*c^10 + 118111600640*a^24*b^5*c^11 - 94489280512*a^25*b^3*c^12) + 22548578304*B*a^24*c^13 - 74088185856*A*a^23*b*c^13 + 15360*A*a^12*b^23*c^2 - 681984*A*a^13*b^21*c^3 + 13774848*A*a^14*b^19*c^4 - 167067648*A*a^15*b^17*c^5 + 1351876608*A*a^16*b^15*c^6 - 7662993408*A*a^17*b^13*c^7 + 31048335360*A*a^18*b^11*c^8 - 89917489152*A*a^19*b^9*c^9 + 182401892352*A*a^20*b^7*c^10 - 246826401792*A*a^21*b^5*c^11 + 200521285632*A*a^22*b^3*c^12 - 3072*B*a^13*b^22*c^2 + 138240*B*a^14*b^20*c^3 - 2850816*B*a^15*b^18*c^4 + 35536896*B*a^16*b^16*c^5 - 297271296*B*a^17*b^14*c^6 + 1750597632*B*a^18*b^12*c^7 - 7398752256*B*a^19*b^10*c^8 + 22422749184*B*a^20*b^8*c^9 - 47714402304*B*a^21*b^6*c^10 + 67847061504*B*a^22*b^4*c^11 - 57982058496*B*a^23*b^2*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2) + 47775744000*A^3*a^17*c^14 + 712800*A^3*a^9*b^16*c^6 - 23142240*A^3*a^10*b^14*c^7 + 328157568*A^3*a^11*b^12*c^8 - 2652784128*A^3*a^12*b^10*c^9 + 13361338368*A^3*a^13*b^8*c^10 - 42897973248*A^3*a^14*b^6*c^11 + 85645099008*A^3*a^15*b^4*c^12 - 97090928640*A^3*a^16*b^2*c^13 - 18144*B^3*a^11*b^15*c^5 + 622080*B^3*a^12*b^13*c^6 - 9220608*B^3*a^13*b^11*c^7 + 76640256*B^3*a^14*b^9*c^8 - 384638976*B^3*a^15*b^7*c^9 + 1160773632*B^3*a^16*b^5*c^10 - 1942880256*B^3*a^17*b^3*c^11 + 10404495360*A*B^2*a^18*c^13 + 1387266048*B^3*a^18*b*c^12 - 26966753280*A^2*B*a^17*b*c^13 + 181440*A*B^2*a^10*b^16*c^5 - 6083424*A*B^2*a^11*b^14*c^6 + 88656768*A*B^2*a^12*b^12*c^7 - 731026944*A*B^2*a^13*b^10*c^8 + 3713071104*A*B^2*a^14*b^8*c^9 - 11822505984*A*B^2*a^15*b^6*c^10 + 22839459840*A*B^2*a^16*b^4*c^11 - 24132059136*A*B^2*a^17*b^2*c^12 - 453600*A^2*B*a^9*b^17*c^5 + 14722560*A^2*B*a^10*b^15*c^6 - 208303488*A^2*B*a^11*b^13*c^7 + 1675717632*A^2*B*a^12*b^11*c^8 - 8368883712*A^2*B*a^13*b^9*c^9 + 26512883712*A^2*B*a^14*b^7*c^10 - 51887112192*A^2*B*a^15*b^5*c^11 + 57139789824*A^2*B*a^16*b^3*c^12))*(-(9*(25*A^2*b^21 + B^2*a^2*b^19 - 25*A^2*b^6*(-(4*a*c - b^2)^15)^(1/2) - 10*A*B*a*b^20 + 17794*A^2*a^2*b^17*c^2 - 188095*A^2*a^3*b^15*c^3 + 1299860*A^2*a^4*b^13*c^4 - 6126640*A^2*a^5*b^11*c^5 + 19905600*A^2*a^6*b^9*c^6 - 43904256*A^2*a^7*b^7*c^7 + 62684160*A^2*a^8*b^5*c^8 - 52039680*A^2*a^9*b^3*c^9 + 225*A^2*a^3*c^3*(-(4*a*c - b^2)^15)^(1/2) - B^2*a^2*b^4*(-(4*a*c - b^2)^15)^(1/2) + 769*B^2*a^4*b^15*c^2 - 8620*B^2*a^5*b^13*c^3 + 63440*B^2*a^6*b^11*c^4 - 316864*B^2*a^7*b^9*c^5 + 1069824*B^2*a^8*b^7*c^6 - 2343936*B^2*a^9*b^5*c^7 + 3010560*B^2*a^10*b^3*c^8 - 49*B^2*a^4*c^2*(-(4*a*c - b^2)^15)^(1/2) - 6881280*A*B*a^11*c^10 - 995*A^2*a*b^19*c + 18923520*A^2*a^10*b*c^10 - 41*B^2*a^3*b^17*c - 1720320*B^2*a^11*b*c^9 - 694*A^2*a^2*b^2*c^2*(-(4*a*c - b^2)^15)^(1/2) - 7402*A*B*a^3*b^16*c^2 + 80620*A*B*a^4*b^14*c^3 - 575120*A*B*a^5*b^12*c^4 + 2791360*A*B*a^6*b^10*c^5 - 9267456*A*B*a^7*b^8*c^6 + 20579328*A*B*a^8*b^6*c^7 - 28815360*A*B*a^9*b^4*c^8 + 22364160*A*B*a^10*b^2*c^9 + 245*A^2*a*b^4*c*(-(4*a*c - b^2)^15)^(1/2) + 11*B^2*a^3*b^2*c*(-(4*a*c - b^2)^15)^(1/2) + 10*A*B*a*b^5*(-(4*a*c - b^2)^15)^(1/2) + 404*A*B*a^2*b^18*c - 104*A*B*a^2*b^3*c*(-(4*a*c - b^2)^15)^(1/2) + 382*A*B*a^3*b*c^2*(-(4*a*c - b^2)^15)^(1/2)))/(128*(a^7*b^20 + 1048576*a^17*c^10 - 40*a^8*b^18*c + 720*a^9*b^16*c^2 - 7680*a^10*b^14*c^3 + 53760*a^11*b^12*c^4 - 258048*a^12*b^10*c^5 + 860160*a^13*b^8*c^6 - 1966080*a^14*b^6*c^7 + 2949120*a^15*b^4*c^8 - 2621440*a^16*b^2*c^9)))^(1/2)*2i - ((2*A)/a - (x^3*(28*B*a^3*c^3 - 30*A*b^5*c + 6*B*a*b^4*c + 227*A*a*b^3*c^2 - 392*A*a^2*b*c^3 - 49*B*a^2*b^2*c^2))/(4*a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(25*A*b^5 - 44*B*a^3*c^2 - 5*B*a*b^4 - 194*A*a*b^3*c + 364*A*a^2*b*c^2 + 37*B*a^2*b^2*c))/(4*a^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(15*A*b^6 + 324*A*a^3*c^3 - 3*B*a*b^5 - 91*A*a*b^4*c + 20*B*a^2*b^3*c + 4*B*a^3*b*c^2 + 25*A*a^2*b^2*c^2))/(4*a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (3*c*x^4*(60*A*a^2*c^3 + 5*A*b^4*c - B*a*b^3*c - 37*A*a*b^2*c^2 + 8*B*a^2*b*c^2))/(4*a^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^(5/2)*(2*a*c + b^2) + a^2*x^(1/2) + c^2*x^(9/2) + 2*a*b*x^(3/2) + 2*b*c*x^(7/2))","B"
1029,0,-1,454,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\int \sqrt{x}\,\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a} \,d x","Not used",1,"int(x^(1/2)*(A + B*x)*(a + b*x + c*x^2)^(1/2), x)","F"
1030,0,-1,373,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(1/2), x)","F"
1031,0,-1,341,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(3/2), x)","F"
1032,0,-1,353,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(5/2), x)","F"
1033,0,-1,421,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(7/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^(1/2))/x^(7/2), x)","F"
1034,0,-1,251,0.000000,"\text{Not used}","int(-x^(7/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int x^{7/2}\,\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int(x^(7/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
1035,0,-1,228,0.000000,"\text{Not used}","int(-x^(5/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int x^{5/2}\,\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int(x^(5/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
1036,0,-1,205,0.000000,"\text{Not used}","int(-x^(3/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int x^{3/2}\,\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int(x^(3/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
1037,0,-1,182,0.000000,"\text{Not used}","int(-x^(1/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int \sqrt{x}\,\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int(x^(1/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
1038,0,-1,159,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(1/2),x)","-\int \frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{\sqrt{x}} \,d x","Not used",1,"-int(((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(1/2), x)","F"
1039,0,-1,159,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(3/2),x)","\int -\frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{x^{3/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(3/2), x)","F"
1040,0,-1,157,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(5/2),x)","\int -\frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{x^{5/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(5/2), x)","F"
1041,0,-1,180,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(7/2),x)","\int -\frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{x^{7/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(7/2), x)","F"
1042,0,-1,205,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(9/2),x)","\int -\frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{x^{9/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(9/2), x)","F"
1043,0,-1,228,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(11/2),x)","\int -\frac{\left(5\,x-2\right)\,\sqrt{3\,x^2+5\,x+2}}{x^{11/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(1/2))/x^(11/2), x)","F"
1044,0,-1,256,0.000000,"\text{Not used}","int(-x^(5/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int x^{5/2}\,\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int(x^(5/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
1045,0,-1,233,0.000000,"\text{Not used}","int(-x^(3/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int x^{3/2}\,\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int(x^(3/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
1046,0,-1,210,0.000000,"\text{Not used}","int(-x^(1/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int \sqrt{x}\,\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int(x^(1/2)*(5*x - 2)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
1047,0,-1,187,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(1/2),x)","-\int \frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"-int(((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(1/2), x)","F"
1048,0,-1,187,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(3/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(3/2), x)","F"
1049,0,-1,183,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(5/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(5/2), x)","F"
1050,0,-1,185,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(7/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{7/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(7/2), x)","F"
1051,0,-1,187,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(9/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{9/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(9/2), x)","F"
1052,0,-1,210,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(11/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{11/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(11/2), x)","F"
1053,0,-1,233,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(13/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{13/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(13/2), x)","F"
1054,0,-1,256,0.000000,"\text{Not used}","int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(15/2),x)","\int -\frac{\left(5\,x-2\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{x^{15/2}} \,d x","Not used",1,"int(-((5*x - 2)*(5*x + 3*x^2 + 2)^(3/2))/x^(15/2), x)","F"
1055,0,-1,300,0.000000,"\text{Not used}","int((A + B*x)/((e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{e\,x}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
1056,0,-1,223,0.000000,"\text{Not used}","int(-(x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{x^{7/2}\,\left(5\,x-2\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
1057,0,-1,200,0.000000,"\text{Not used}","int(-(x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{x^{5/2}\,\left(5\,x-2\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
1058,0,-1,177,0.000000,"\text{Not used}","int(-(x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{x^{3/2}\,\left(5\,x-2\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
1059,0,-1,154,0.000000,"\text{Not used}","int(-(x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{\sqrt{x}\,\left(5\,x-2\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
1060,0,-1,129,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{5\,x-2}{\sqrt{x}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
1061,0,-1,146,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","\int -\frac{5\,x-2}{x^{3/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
1062,0,-1,175,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","\int -\frac{5\,x-2}{x^{5/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
1063,0,-1,196,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","\int -\frac{5\,x-2}{x^{7/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
1064,0,-1,197,0.000000,"\text{Not used}","int(-(x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{x^{7/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
1065,0,-1,182,0.000000,"\text{Not used}","int(-(x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{x^{5/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
1066,0,-1,159,0.000000,"\text{Not used}","int(-(x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{x^{3/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
1067,0,-1,155,0.000000,"\text{Not used}","int(-(x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{\sqrt{x}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
1068,0,-1,151,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{5\,x-2}{\sqrt{x}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
1069,0,-1,172,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","\int -\frac{5\,x-2}{x^{3/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
1070,0,-1,201,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","\int -\frac{5\,x-2}{x^{5/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
1071,0,-1,224,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","\int -\frac{5\,x-2}{x^{7/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
1072,0,-1,256,0.000000,"\text{Not used}","int(-(x^(13/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{13/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(13/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1073,0,-1,233,0.000000,"\text{Not used}","int(-(x^(11/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{11/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(11/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1074,0,-1,210,0.000000,"\text{Not used}","int(-(x^(9/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{9/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(9/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1075,0,-1,187,0.000000,"\text{Not used}","int(-(x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{7/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(7/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1076,0,-1,187,0.000000,"\text{Not used}","int(-(x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{5/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(5/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1077,0,-1,187,0.000000,"\text{Not used}","int(-(x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{x^{3/2}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(3/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1078,0,-1,179,0.000000,"\text{Not used}","int(-(x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{\sqrt{x}\,\left(5\,x-2\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x^(1/2)*(5*x - 2))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
1079,0,-1,185,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{5\,x-2}{\sqrt{x}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((5*x - 2)/(x^(1/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
1080,0,-1,208,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","\int -\frac{5\,x-2}{x^{3/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(3/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
1081,0,-1,225,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","\int -\frac{5\,x-2}{x^{5/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(5/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
1082,0,-1,256,0.000000,"\text{Not used}","int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","\int -\frac{5\,x-2}{x^{7/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"int(-(5*x - 2)/(x^(7/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
1083,1,769,240,2.027814,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^3,x)","\frac{x^4\,{\left(e\,x\right)}^m\,\left(3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3\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}+\frac{x^5\,{\left(e\,x\right)}^m\,\left(B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,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{A\,a^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{3\,a\,x^3\,{\left(e\,x\right)}^m\,\left(A\,b^2+B\,a\,b+A\,a\,c\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{3\,c\,x^6\,{\left(e\,x\right)}^m\,\left(B\,b^2+A\,c\,b+B\,a\,c\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{B\,c^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^2\,x^2\,{\left(e\,x\right)}^m\,\left(3\,A\,b+B\,a\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{c^2\,x^7\,{\left(e\,x\right)}^m\,\left(A\,c+3\,B\,b\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}","Not used",1,"(x^4*(e*x)^m*(A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)*(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) + (x^5*(e*x)^m*(B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)*(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) + (A*a^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) + (3*a*x^3*(e*x)^m*(A*b^2 + A*a*c + B*a*b)*(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) + (3*c*x^6*(e*x)^m*(B*b^2 + A*b*c + B*a*c)*(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) + (B*c^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^2*x^2*(e*x)^m*(3*A*b + B*a)*(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) + (c^2*x^7*(e*x)^m*(A*c + 3*B*b)*(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)","B"
1084,1,405,155,1.655935,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^2,x)","{\left(e\,x\right)}^m\,\left(\frac{x^3\,\left(A\,b^2+2\,B\,a\,b+2\,A\,a\,c\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}+\frac{x^4\,\left(B\,b^2+2\,A\,c\,b+2\,B\,a\,c\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{A\,a^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\,x^2\,\left(2\,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{c\,x^5\,\left(A\,c+2\,B\,b\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{B\,c^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}\right)","Not used",1,"(e*x)^m*((x^3*(A*b^2 + 2*A*a*c + 2*B*a*b)*(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) + (x^4*(B*b^2 + 2*A*b*c + 2*B*a*c)*(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) + (A*a^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*x^2*(2*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) + (c*x^5*(A*c + 2*B*b)*(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) + (B*c^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))","B"
1085,1,171,83,1.440406,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2),x)","{\left(e\,x\right)}^m\,\left(\frac{x^2\,\left(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{x^3\,\left(A\,c+B\,b\right)\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{A\,a\,x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{B\,c\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"(e*x)^m*((x^2*(A*b + B*a)*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (x^3*(A*c + B*b)*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (A*a*x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (B*c*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
1086,0,-1,172,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2), x)","F"
1087,0,-1,318,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^2,x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^2} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^2, x)","F"
1088,0,-1,281,0.000000,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(5/2),x)","\int {\left(e\,x\right)}^m\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(5/2), x)","F"
1089,0,-1,281,0.000000,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(3/2),x)","\int {\left(e\,x\right)}^m\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(3/2), x)","F"
1090,0,-1,281,0.000000,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(1/2),x)","\int {\left(e\,x\right)}^m\,\left(A+B\,x\right)\,\sqrt{c\,x^2+b\,x+a} \,d x","Not used",1,"int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^(1/2), x)","F"
1091,0,-1,281,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(1/2), x)","F"
1092,0,-1,281,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(3/2), x)","F"
1093,0,-1,281,0.000000,"\text{Not used}","int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{{\left(e\,x\right)}^m\,\left(A+B\,x\right)}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((e*x)^m*(A + B*x))/(a + b*x + c*x^2)^(5/2), x)","F"
1094,0,-1,277,0.000000,"\text{Not used}","int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^p,x)","\int {\left(e\,x\right)}^m\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int((e*x)^m*(A + B*x)*(a + b*x + c*x^2)^p, x)","F"
1095,0,-1,442,0.000000,"\text{Not used}","int(x^3*(A + B*x)*(a + b*x + c*x^2)^p,x)","\int x^3\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int(x^3*(A + B*x)*(a + b*x + c*x^2)^p, x)","F"
1096,0,-1,287,0.000000,"\text{Not used}","int(x^2*(A + B*x)*(a + b*x + c*x^2)^p,x)","\int x^2\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int(x^2*(A + B*x)*(a + b*x + c*x^2)^p, x)","F"
1097,0,-1,211,0.000000,"\text{Not used}","int(x*(A + B*x)*(a + b*x + c*x^2)^p,x)","\int x\,\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int(x*(A + B*x)*(a + b*x + c*x^2)^p, x)","F"
1098,0,-1,158,0.000000,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^p,x)","\int \left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int((A + B*x)*(a + b*x + c*x^2)^p, x)","F"
1099,0,-1,273,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^p)/x,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p}{x} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^p)/x, x)","F"
1100,0,-1,315,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^p)/x^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p}{x^2} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^p)/x^2, x)","F"
1101,0,-1,376,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^p)/x^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p}{x^3} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^p)/x^3, x)","F"
1102,1,400,136,1.644200,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^m,x)","\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(12\,A\,b\,e^2+7\,A\,b\,e^2\,m-3\,B\,c\,d^2\,m+A\,b\,e^2\,m^2+4\,A\,c\,d\,e\,m+4\,B\,b\,d\,e\,m+A\,c\,d\,e\,m^2+B\,b\,d\,e\,m^2\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{d^2\,{\left(d+e\,x\right)}^m\,\left(12\,A\,b\,e^2+6\,B\,c\,d^2+7\,A\,b\,e^2\,m+A\,b\,e^2\,m^2-8\,A\,c\,d\,e-8\,B\,b\,d\,e-2\,A\,c\,d\,e\,m-2\,B\,b\,d\,e\,m\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(4\,A\,c\,e+4\,B\,b\,e+A\,c\,e\,m+B\,b\,e\,m+B\,c\,d\,m\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{B\,c\,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{d\,m\,x\,{\left(d+e\,x\right)}^m\,\left(12\,A\,b\,e^2+6\,B\,c\,d^2+7\,A\,b\,e^2\,m+A\,b\,e^2\,m^2-8\,A\,c\,d\,e-8\,B\,b\,d\,e-2\,A\,c\,d\,e\,m-2\,B\,b\,d\,e\,m\right)}{e^3\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x^2*(m + 1)*(d + e*x)^m*(12*A*b*e^2 + 7*A*b*e^2*m - 3*B*c*d^2*m + A*b*e^2*m^2 + 4*A*c*d*e*m + 4*B*b*d*e*m + A*c*d*e*m^2 + B*b*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - (d^2*(d + e*x)^m*(12*A*b*e^2 + 6*B*c*d^2 + 7*A*b*e^2*m + A*b*e^2*m^2 - 8*A*c*d*e - 8*B*b*d*e - 2*A*c*d*e*m - 2*B*b*d*e*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(4*A*c*e + 4*B*b*e + A*c*e*m + B*b*e*m + B*c*d*m))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (B*c*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) + (d*m*x*(d + e*x)^m*(12*A*b*e^2 + 6*B*c*d^2 + 7*A*b*e^2*m + A*b*e^2*m^2 - 8*A*c*d*e - 8*B*b*d*e - 2*A*c*d*e*m - 2*B*b*d*e*m))/(e^3*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
1103,1,182,118,0.095998,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^4,x)","x^4\,\left(\frac{B\,c\,d^4}{4}+A\,c\,d^3\,e+B\,b\,d^3\,e+\frac{3\,A\,b\,d^2\,e^2}{2}\right)+x^6\,\left(\frac{A\,b\,e^4}{6}+\frac{2\,A\,c\,d\,e^3}{3}+\frac{2\,B\,b\,d\,e^3}{3}+B\,c\,d^2\,e^2\right)+x^3\,\left(\frac{A\,c\,d^4}{3}+\frac{B\,b\,d^4}{3}+\frac{4\,A\,b\,d^3\,e}{3}\right)+x^7\,\left(\frac{A\,c\,e^4}{7}+\frac{B\,b\,e^4}{7}+\frac{4\,B\,c\,d\,e^3}{7}\right)+\frac{2\,d\,e\,x^5\,\left(2\,A\,b\,e^2+2\,B\,c\,d^2+3\,A\,c\,d\,e+3\,B\,b\,d\,e\right)}{5}+\frac{A\,b\,d^4\,x^2}{2}+\frac{B\,c\,e^4\,x^8}{8}","Not used",1,"x^4*((B*c*d^4)/4 + A*c*d^3*e + B*b*d^3*e + (3*A*b*d^2*e^2)/2) + x^6*((A*b*e^4)/6 + (2*A*c*d*e^3)/3 + (2*B*b*d*e^3)/3 + B*c*d^2*e^2) + x^3*((A*c*d^4)/3 + (B*b*d^4)/3 + (4*A*b*d^3*e)/3) + x^7*((A*c*e^4)/7 + (B*b*e^4)/7 + (4*B*c*d*e^3)/7) + (2*d*e*x^5*(2*A*b*e^2 + 2*B*c*d^2 + 3*A*c*d*e + 3*B*b*d*e))/5 + (A*b*d^4*x^2)/2 + (B*c*e^4*x^8)/8","B"
1104,1,146,118,1.373847,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^3,x)","x^3\,\left(\frac{A\,c\,d^3}{3}+\frac{B\,b\,d^3}{3}+A\,b\,d^2\,e\right)+x^6\,\left(\frac{A\,c\,e^3}{6}+\frac{B\,b\,e^3}{6}+\frac{B\,c\,d\,e^2}{2}\right)+x^4\,\left(\frac{B\,c\,d^3}{4}+\frac{3\,A\,b\,d\,e^2}{4}+\frac{3\,A\,c\,d^2\,e}{4}+\frac{3\,B\,b\,d^2\,e}{4}\right)+x^5\,\left(\frac{A\,b\,e^3}{5}+\frac{3\,A\,c\,d\,e^2}{5}+\frac{3\,B\,b\,d\,e^2}{5}+\frac{3\,B\,c\,d^2\,e}{5}\right)+\frac{A\,b\,d^3\,x^2}{2}+\frac{B\,c\,e^3\,x^7}{7}","Not used",1,"x^3*((A*c*d^3)/3 + (B*b*d^3)/3 + A*b*d^2*e) + x^6*((A*c*e^3)/6 + (B*b*e^3)/6 + (B*c*d*e^2)/2) + x^4*((B*c*d^3)/4 + (3*A*b*d*e^2)/4 + (3*A*c*d^2*e)/4 + (3*B*b*d^2*e)/4) + x^5*((A*b*e^3)/5 + (3*A*c*d*e^2)/5 + (3*B*b*d*e^2)/5 + (3*B*c*d^2*e)/5) + (A*b*d^3*x^2)/2 + (B*c*e^3*x^7)/7","B"
1105,1,102,99,0.047129,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^2,x)","x^4\,\left(\frac{A\,b\,e^2}{4}+\frac{B\,c\,d^2}{4}+\frac{A\,c\,d\,e}{2}+\frac{B\,b\,d\,e}{2}\right)+x^3\,\left(\frac{A\,c\,d^2}{3}+\frac{B\,b\,d^2}{3}+\frac{2\,A\,b\,d\,e}{3}\right)+x^5\,\left(\frac{A\,c\,e^2}{5}+\frac{B\,b\,e^2}{5}+\frac{2\,B\,c\,d\,e}{5}\right)+\frac{A\,b\,d^2\,x^2}{2}+\frac{B\,c\,e^2\,x^6}{6}","Not used",1,"x^4*((A*b*e^2)/4 + (B*c*d^2)/4 + (A*c*d*e)/2 + (B*b*d*e)/2) + x^3*((A*c*d^2)/3 + (B*b*d^2)/3 + (2*A*b*d*e)/3) + x^5*((A*c*e^2)/5 + (B*b*e^2)/5 + (2*B*c*d*e)/5) + (A*b*d^2*x^2)/2 + (B*c*e^2*x^6)/6","B"
1106,1,57,61,1.354954,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x),x)","\frac{B\,c\,e\,x^5}{5}+\left(\frac{A\,c\,e}{4}+\frac{B\,b\,e}{4}+\frac{B\,c\,d}{4}\right)\,x^4+\left(\frac{A\,b\,e}{3}+\frac{A\,c\,d}{3}+\frac{B\,b\,d}{3}\right)\,x^3+\frac{A\,b\,d\,x^2}{2}","Not used",1,"x^3*((A*b*e)/3 + (A*c*d)/3 + (B*b*d)/3) + x^4*((A*c*e)/4 + (B*b*e)/4 + (B*c*d)/4) + (A*b*d*x^2)/2 + (B*c*e*x^5)/5","B"
1107,1,28,33,1.336687,"\text{Not used}","int((b*x + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^3+\frac{A\,b\,x^2}{2}","Not used",1,"x^3*((A*c)/3 + (B*b)/3) + (A*b*x^2)/2 + (B*c*x^4)/4","B"
1108,1,113,87,0.075191,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x),x)","x^2\,\left(\frac{A\,c+B\,b}{2\,e}-\frac{B\,c\,d}{2\,e^2}\right)-x\,\left(\frac{d\,\left(\frac{A\,c+B\,b}{e}-\frac{B\,c\,d}{e^2}\right)}{e}-\frac{A\,b}{e}\right)-\frac{\ln\left(d+e\,x\right)\,\left(B\,c\,d^3+A\,b\,d\,e^2-A\,c\,d^2\,e-B\,b\,d^2\,e\right)}{e^4}+\frac{B\,c\,x^3}{3\,e}","Not used",1,"x^2*((A*c + B*b)/(2*e) - (B*c*d)/(2*e^2)) - x*((d*((A*c + B*b)/e - (B*c*d)/e^2))/e - (A*b)/e) - (log(d + e*x)*(B*c*d^3 + A*b*d*e^2 - A*c*d^2*e - B*b*d^2*e))/e^4 + (B*c*x^3)/(3*e)","B"
1109,1,116,99,1.394907,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^2,x)","x\,\left(\frac{A\,c+B\,b}{e^2}-\frac{2\,B\,c\,d}{e^3}\right)+\frac{\ln\left(d+e\,x\right)\,\left(A\,b\,e^2+3\,B\,c\,d^2-2\,A\,c\,d\,e-2\,B\,b\,d\,e\right)}{e^4}+\frac{B\,c\,d^3+A\,b\,d\,e^2-A\,c\,d^2\,e-B\,b\,d^2\,e}{e\,\left(x\,e^4+d\,e^3\right)}+\frac{B\,c\,x^2}{2\,e^2}","Not used",1,"x*((A*c + B*b)/e^2 - (2*B*c*d)/e^3) + (log(d + e*x)*(A*b*e^2 + 3*B*c*d^2 - 2*A*c*d*e - 2*B*b*d*e))/e^4 + (B*c*d^3 + A*b*d*e^2 - A*c*d^2*e - B*b*d^2*e)/(e*(d*e^3 + e^4*x)) + (B*c*x^2)/(2*e^2)","B"
1110,1,123,104,0.112854,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^3,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c\,e+B\,b\,e-3\,B\,c\,d\right)}{e^4}-\frac{x\,\left(A\,b\,e^2+3\,B\,c\,d^2-2\,A\,c\,d\,e-2\,B\,b\,d\,e\right)+\frac{5\,B\,c\,d^3+A\,b\,d\,e^2-3\,A\,c\,d^2\,e-3\,B\,b\,d^2\,e}{2\,e}}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}+\frac{B\,c\,x}{e^3}","Not used",1,"(log(d + e*x)*(A*c*e + B*b*e - 3*B*c*d))/e^4 - (x*(A*b*e^2 + 3*B*c*d^2 - 2*A*c*d*e - 2*B*b*d*e) + (5*B*c*d^3 + A*b*d*e^2 - 3*A*c*d^2*e - 3*B*b*d^2*e)/(2*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) + (B*c*x)/e^3","B"
1111,1,134,111,1.405272,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^4,x)","\frac{B\,c\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{A\,b\,d\,e^2-11\,B\,c\,d^3+2\,A\,c\,d^2\,e+2\,B\,b\,d^2\,e}{6\,e^4}+\frac{x\,\left(A\,b\,e^2-9\,B\,c\,d^2+2\,A\,c\,d\,e+2\,B\,b\,d\,e\right)}{2\,e^3}+\frac{x^2\,\left(A\,c\,e+B\,b\,e-3\,B\,c\,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*c*log(d + e*x))/e^4 - ((A*b*d*e^2 - 11*B*c*d^3 + 2*A*c*d^2*e + 2*B*b*d^2*e)/(6*e^4) + (x*(A*b*e^2 - 9*B*c*d^2 + 2*A*c*d*e + 2*B*b*d*e))/(2*e^3) + (x^2*(A*c*e + B*b*e - 3*B*c*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1112,1,134,116,0.068446,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^5,x)","-\frac{\frac{d\,\left(A\,b\,e^2+3\,B\,c\,d^2+A\,c\,d\,e+B\,b\,d\,e\right)}{12\,e^4}+\frac{x\,\left(A\,b\,e^2+3\,B\,c\,d^2+A\,c\,d\,e+B\,b\,d\,e\right)}{3\,e^3}+\frac{x^2\,\left(A\,c\,e+B\,b\,e+3\,B\,c\,d\right)}{2\,e^2}+\frac{B\,c\,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,"-((d*(A*b*e^2 + 3*B*c*d^2 + A*c*d*e + B*b*d*e))/(12*e^4) + (x*(A*b*e^2 + 3*B*c*d^2 + A*c*d*e + B*b*d*e))/(3*e^3) + (x^2*(A*c*e + B*b*e + 3*B*c*d))/(2*e^2) + (B*c*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"
1113,1,154,118,0.077578,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^6,x)","-\frac{\frac{d\,\left(3\,A\,b\,e^2+3\,B\,c\,d^2+2\,A\,c\,d\,e+2\,B\,b\,d\,e\right)}{60\,e^4}+\frac{x\,\left(3\,A\,b\,e^2+3\,B\,c\,d^2+2\,A\,c\,d\,e+2\,B\,b\,d\,e\right)}{12\,e^3}+\frac{x^2\,\left(2\,A\,c\,e+2\,B\,b\,e+3\,B\,c\,d\right)}{6\,e^2}+\frac{B\,c\,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,"-((d*(3*A*b*e^2 + 3*B*c*d^2 + 2*A*c*d*e + 2*B*b*d*e))/(60*e^4) + (x*(3*A*b*e^2 + 3*B*c*d^2 + 2*A*c*d*e + 2*B*b*d*e))/(12*e^3) + (x^2*(2*A*c*e + 2*B*b*e + 3*B*c*d))/(6*e^2) + (B*c*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"
1114,1,1176,282,2.099969,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-6\,B\,b^2\,d^4\,e^2\,m^2-66\,B\,b^2\,d^4\,e^2\,m-180\,B\,b^2\,d^4\,e^2+2\,A\,b^2\,d^3\,e^3\,m^3+30\,A\,b^2\,d^3\,e^3\,m^2+148\,A\,b^2\,d^3\,e^3\,m+240\,A\,b^2\,d^3\,e^3+48\,B\,b\,c\,d^5\,e\,m+288\,B\,b\,c\,d^5\,e-12\,A\,b\,c\,d^4\,e^2\,m^2-132\,A\,b\,c\,d^4\,e^2\,m-360\,A\,b\,c\,d^4\,e^2-120\,B\,c^2\,d^6+24\,A\,c^2\,d^5\,e\,m+144\,A\,c^2\,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^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(B\,b^2\,d\,e^2\,m^3+11\,B\,b^2\,d\,e^2\,m^2+30\,B\,b^2\,d\,e^2\,m+A\,b^2\,e^3\,m^3+15\,A\,b^2\,e^3\,m^2+74\,A\,b^2\,e^3\,m+120\,A\,b^2\,e^3-8\,B\,b\,c\,d^2\,e\,m^2-48\,B\,b\,c\,d^2\,e\,m+2\,A\,b\,c\,d\,e^2\,m^3+22\,A\,b\,c\,d\,e^2\,m^2+60\,A\,b\,c\,d\,e^2\,m+20\,B\,c^2\,d^3\,m-4\,A\,c^2\,d^2\,e\,m^2-24\,A\,c^2\,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)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(B\,b^2\,e^2\,m^2+11\,B\,b^2\,e^2\,m+30\,B\,b^2\,e^2+2\,B\,b\,c\,d\,e\,m^2+12\,B\,b\,c\,d\,e\,m+2\,A\,b\,c\,e^2\,m^2+22\,A\,b\,c\,e^2\,m+60\,A\,b\,c\,e^2-5\,B\,c^2\,d^2\,m+A\,c^2\,d\,e\,m^2+6\,A\,c^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\,c^2\,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{c\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(6\,A\,c\,e+12\,B\,b\,e+A\,c\,e\,m+2\,B\,b\,e\,m+B\,c\,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\,d^2\,m\,x\,{\left(d+e\,x\right)}^m\,\left(-3\,B\,b^2\,d\,e^2\,m^2-33\,B\,b^2\,d\,e^2\,m-90\,B\,b^2\,d\,e^2+A\,b^2\,e^3\,m^3+15\,A\,b^2\,e^3\,m^2+74\,A\,b^2\,e^3\,m+120\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e\,m+144\,B\,b\,c\,d^2\,e-6\,A\,b\,c\,d\,e^2\,m^2-66\,A\,b\,c\,d\,e^2\,m-180\,A\,b\,c\,d\,e^2-60\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\,m+72\,A\,c^2\,d^2\,e\right)}{e^5\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{d\,m\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(-3\,B\,b^2\,d\,e^2\,m^2-33\,B\,b^2\,d\,e^2\,m-90\,B\,b^2\,d\,e^2+A\,b^2\,e^3\,m^3+15\,A\,b^2\,e^3\,m^2+74\,A\,b^2\,e^3\,m+120\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e\,m+144\,B\,b\,c\,d^2\,e-6\,A\,b\,c\,d\,e^2\,m^2-66\,A\,b\,c\,d\,e^2\,m-180\,A\,b\,c\,d\,e^2-60\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\,m+72\,A\,c^2\,d^2\,e\right)}{e^4\,\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*(144*A*c^2*d^5*e - 120*B*c^2*d^6 + 240*A*b^2*d^3*e^3 - 180*B*b^2*d^4*e^2 + 148*A*b^2*d^3*e^3*m - 66*B*b^2*d^4*e^2*m + 288*B*b*c*d^5*e + 30*A*b^2*d^3*e^3*m^2 + 2*A*b^2*d^3*e^3*m^3 - 6*B*b^2*d^4*e^2*m^2 - 360*A*b*c*d^4*e^2 + 24*A*c^2*d^5*e*m - 132*A*b*c*d^4*e^2*m - 12*A*b*c*d^4*e^2*m^2 + 48*B*b*c*d^5*e*m))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(120*A*b^2*e^3 + 74*A*b^2*e^3*m + 20*B*c^2*d^3*m + 15*A*b^2*e^3*m^2 + A*b^2*e^3*m^3 - 4*A*c^2*d^2*e*m^2 + 11*B*b^2*d*e^2*m^2 + B*b^2*d*e^2*m^3 - 24*A*c^2*d^2*e*m + 30*B*b^2*d*e^2*m + 22*A*b*c*d*e^2*m^2 + 2*A*b*c*d*e^2*m^3 - 8*B*b*c*d^2*e*m^2 + 60*A*b*c*d*e^2*m - 48*B*b*c*d^2*e*m))/(e^3*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(30*B*b^2*e^2 + 60*A*b*c*e^2 + 11*B*b^2*e^2*m - 5*B*c^2*d^2*m + B*b^2*e^2*m^2 + 22*A*b*c*e^2*m + 6*A*c^2*d*e*m + 2*A*b*c*e^2*m^2 + A*c^2*d*e*m^2 + 12*B*b*c*d*e*m + 2*B*b*c*d*e*m^2))/(e^2*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (B*c^2*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) + (c*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(6*A*c*e + 12*B*b*e + A*c*e*m + 2*B*b*e*m + B*c*d*m))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) - (2*d^2*m*x*(d + e*x)^m*(120*A*b^2*e^3 - 60*B*c^2*d^3 + 72*A*c^2*d^2*e - 90*B*b^2*d*e^2 + 74*A*b^2*e^3*m + 15*A*b^2*e^3*m^2 + A*b^2*e^3*m^3 - 3*B*b^2*d*e^2*m^2 - 180*A*b*c*d*e^2 + 144*B*b*c*d^2*e + 12*A*c^2*d^2*e*m - 33*B*b^2*d*e^2*m - 6*A*b*c*d*e^2*m^2 - 66*A*b*c*d*e^2*m + 24*B*b*c*d^2*e*m))/(e^5*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (d*m*x^2*(m + 1)*(d + e*x)^m*(120*A*b^2*e^3 - 60*B*c^2*d^3 + 72*A*c^2*d^2*e - 90*B*b^2*d*e^2 + 74*A*b^2*e^3*m + 15*A*b^2*e^3*m^2 + A*b^2*e^3*m^3 - 3*B*b^2*d*e^2*m^2 - 180*A*b*c*d*e^2 + 144*B*b*c*d^2*e + 12*A*c^2*d^2*e*m - 33*B*b^2*d*e^2*m - 6*A*b*c*d*e^2*m^2 - 66*A*b*c*d*e^2*m + 24*B*b*c*d^2*e*m))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
1115,1,234,228,0.109878,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^3,x)","x^6\,\left(\frac{B\,b^2\,d\,e^2}{2}+\frac{A\,b^2\,e^3}{6}+B\,b\,c\,d^2\,e+A\,b\,c\,d\,e^2+\frac{B\,c^2\,d^3}{6}+\frac{A\,c^2\,d^2\,e}{2}\right)+x^5\,\left(\frac{3\,B\,b^2\,d^2\,e}{5}+\frac{3\,A\,b^2\,d\,e^2}{5}+\frac{2\,B\,b\,c\,d^3}{5}+\frac{6\,A\,b\,c\,d^2\,e}{5}+\frac{A\,c^2\,d^3}{5}\right)+x^7\,\left(\frac{B\,b^2\,e^3}{7}+\frac{6\,B\,b\,c\,d\,e^2}{7}+\frac{2\,A\,b\,c\,e^3}{7}+\frac{3\,B\,c^2\,d^2\,e}{7}+\frac{3\,A\,c^2\,d\,e^2}{7}\right)+\frac{b\,d^2\,x^4\,\left(3\,A\,b\,e+2\,A\,c\,d+B\,b\,d\right)}{4}+\frac{c\,e^2\,x^8\,\left(A\,c\,e+2\,B\,b\,e+3\,B\,c\,d\right)}{8}+\frac{A\,b^2\,d^3\,x^3}{3}+\frac{B\,c^2\,e^3\,x^9}{9}","Not used",1,"x^6*((A*b^2*e^3)/6 + (B*c^2*d^3)/6 + (A*c^2*d^2*e)/2 + (B*b^2*d*e^2)/2 + A*b*c*d*e^2 + B*b*c*d^2*e) + x^5*((A*c^2*d^3)/5 + (2*B*b*c*d^3)/5 + (3*A*b^2*d*e^2)/5 + (3*B*b^2*d^2*e)/5 + (6*A*b*c*d^2*e)/5) + x^7*((B*b^2*e^3)/7 + (2*A*b*c*e^3)/7 + (3*A*c^2*d*e^2)/7 + (3*B*c^2*d^2*e)/7 + (6*B*b*c*d*e^2)/7) + (b*d^2*x^4*(3*A*b*e + 2*A*c*d + B*b*d))/4 + (c*e^2*x^8*(A*c*e + 2*B*b*e + 3*B*c*d))/8 + (A*b^2*d^3*x^3)/3 + (B*c^2*e^3*x^9)/9","B"
1116,1,161,162,0.056021,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^2,x)","x^5\,\left(\frac{2\,B\,b^2\,d\,e}{5}+\frac{A\,b^2\,e^2}{5}+\frac{2\,B\,b\,c\,d^2}{5}+\frac{4\,A\,b\,c\,d\,e}{5}+\frac{A\,c^2\,d^2}{5}\right)+x^6\,\left(\frac{B\,b^2\,e^2}{6}+\frac{2\,B\,b\,c\,d\,e}{3}+\frac{A\,b\,c\,e^2}{3}+\frac{B\,c^2\,d^2}{6}+\frac{A\,c^2\,d\,e}{3}\right)+\frac{b\,d\,x^4\,\left(2\,A\,b\,e+2\,A\,c\,d+B\,b\,d\right)}{4}+\frac{c\,e\,x^7\,\left(A\,c\,e+2\,B\,b\,e+2\,B\,c\,d\right)}{7}+\frac{A\,b^2\,d^2\,x^3}{3}+\frac{B\,c^2\,e^2\,x^8}{8}","Not used",1,"x^5*((A*b^2*e^2)/5 + (A*c^2*d^2)/5 + (2*B*b*c*d^2)/5 + (2*B*b^2*d*e)/5 + (4*A*b*c*d*e)/5) + x^6*((B*b^2*e^2)/6 + (B*c^2*d^2)/6 + (A*b*c*e^2)/3 + (A*c^2*d*e)/3 + (2*B*b*c*d*e)/3) + (b*d*x^4*(2*A*b*e + 2*A*c*d + B*b*d))/4 + (c*e*x^7*(A*c*e + 2*B*b*e + 2*B*c*d))/7 + (A*b^2*d^2*x^3)/3 + (B*c^2*e^2*x^8)/8","B"
1117,1,102,100,0.048005,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x),x)","x^5\,\left(\frac{A\,c^2\,d}{5}+\frac{B\,b^2\,e}{5}+\frac{2\,A\,b\,c\,e}{5}+\frac{2\,B\,b\,c\,d}{5}\right)+x^4\,\left(\frac{A\,b^2\,e}{4}+\frac{B\,b^2\,d}{4}+\frac{A\,b\,c\,d}{2}\right)+x^6\,\left(\frac{A\,c^2\,e}{6}+\frac{B\,c^2\,d}{6}+\frac{B\,b\,c\,e}{3}\right)+\frac{A\,b^2\,d\,x^3}{3}+\frac{B\,c^2\,e\,x^7}{7}","Not used",1,"x^5*((A*c^2*d)/5 + (B*b^2*e)/5 + (2*A*b*c*e)/5 + (2*B*b*c*d)/5) + x^4*((A*b^2*e)/4 + (B*b^2*d)/4 + (A*b*c*d)/2) + x^6*((A*c^2*e)/6 + (B*c^2*d)/6 + (B*b*c*e)/3) + (A*b^2*d*x^3)/3 + (B*c^2*e*x^7)/7","B"
1118,1,51,55,1.343249,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x),x)","x^4\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,B\,b\,c}{5}\right)+\frac{A\,b^2\,x^3}{3}+\frac{B\,c^2\,x^6}{6}","Not used",1,"x^4*((B*b^2)/4 + (A*b*c)/2) + x^5*((A*c^2)/5 + (2*B*b*c)/5) + (A*b^2*x^3)/3 + (B*c^2*x^6)/6","B"
1119,1,308,161,1.367618,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x),x)","x^4\,\left(\frac{A\,c^2+2\,B\,b\,c}{4\,e}-\frac{B\,c^2\,d}{4\,e^2}\right)+x^3\,\left(\frac{B\,b^2+2\,A\,c\,b}{3\,e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{3\,e}\right)+x^2\,\left(\frac{A\,b^2}{2\,e}-\frac{d\,\left(\frac{B\,b^2+2\,A\,c\,b}{e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}\right)}{2\,e}\right)-\frac{\ln\left(d+e\,x\right)\,\left(B\,b^2\,d^3\,e^2-A\,b^2\,d^2\,e^3-2\,B\,b\,c\,d^4\,e+2\,A\,b\,c\,d^3\,e^2+B\,c^2\,d^5-A\,c^2\,d^4\,e\right)}{e^6}-\frac{d\,x\,\left(\frac{A\,b^2}{e}-\frac{d\,\left(\frac{B\,b^2+2\,A\,c\,b}{e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}\right)}{e}\right)}{e}+\frac{B\,c^2\,x^5}{5\,e}","Not used",1,"x^4*((A*c^2 + 2*B*b*c)/(4*e) - (B*c^2*d)/(4*e^2)) + x^3*((B*b^2 + 2*A*b*c)/(3*e) - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/(3*e)) + x^2*((A*b^2)/(2*e) - (d*((B*b^2 + 2*A*b*c)/e - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/e))/(2*e)) - (log(d + e*x)*(B*c^2*d^5 - A*c^2*d^4*e - A*b^2*d^2*e^3 + B*b^2*d^3*e^2 - 2*B*b*c*d^4*e + 2*A*b*c*d^3*e^2))/e^6 - (d*x*((A*b^2)/e - (d*((B*b^2 + 2*A*b*c)/e - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/e))/e))/e + (B*c^2*x^5)/(5*e)","B"
1120,1,371,194,1.430463,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^2,x)","x\,\left(\frac{A\,b^2}{e^2}-\frac{d^2\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b}{e^2}+\frac{B\,c^2\,d^2}{e^4}\right)}{e}\right)+x^3\,\left(\frac{A\,c^2+2\,B\,b\,c}{3\,e^2}-\frac{2\,B\,c^2\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b}{2\,e^2}+\frac{B\,c^2\,d^2}{2\,e^4}\right)+\frac{B\,b^2\,d^3\,e^2-A\,b^2\,d^2\,e^3-2\,B\,b\,c\,d^4\,e+2\,A\,b\,c\,d^3\,e^2+B\,c^2\,d^5-A\,c^2\,d^4\,e}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,b^2\,d^2\,e^2-2\,A\,b^2\,d\,e^3-8\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)}{e^6}+\frac{B\,c^2\,x^4}{4\,e^2}","Not used",1,"x*((A*b^2)/e^2 - (d^2*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e^2 + (2*d*((2*d*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e - (B*b^2 + 2*A*b*c)/e^2 + (B*c^2*d^2)/e^4))/e) + x^3*((A*c^2 + 2*B*b*c)/(3*e^2) - (2*B*c^2*d)/(3*e^3)) - x^2*((d*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e - (B*b^2 + 2*A*b*c)/(2*e^2) + (B*c^2*d^2)/(2*e^4)) + (B*c^2*d^5 - A*c^2*d^4*e - A*b^2*d^2*e^3 + B*b^2*d^3*e^2 - 2*B*b*c*d^4*e + 2*A*b*c*d^3*e^2)/(e*(d*e^5 + e^6*x)) + (log(d + e*x)*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 - 8*B*b*c*d^3*e + 6*A*b*c*d^2*e^2))/e^6 + (B*c^2*x^4)/(4*e^2)","B"
1121,1,334,232,0.144548,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^3,x)","x^2\,\left(\frac{A\,c^2+2\,B\,b\,c}{2\,e^3}-\frac{3\,B\,c^2\,d}{2\,e^4}\right)-x\,\left(\frac{3\,d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^3}-\frac{3\,B\,c^2\,d}{e^4}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b}{e^3}+\frac{3\,B\,c^2\,d^2}{e^5}\right)-\frac{\frac{5\,B\,b^2\,d^3\,e^2-3\,A\,b^2\,d^2\,e^3-14\,B\,b\,c\,d^4\,e+10\,A\,b\,c\,d^3\,e^2+9\,B\,c^2\,d^5-7\,A\,c^2\,d^4\,e}{2\,e}+x\,\left(3\,B\,b^2\,d^2\,e^2-2\,A\,b^2\,d\,e^3-8\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(-3\,B\,b^2\,d\,e^2+A\,b^2\,e^3+12\,B\,b\,c\,d^2\,e-6\,A\,b\,c\,d\,e^2-10\,B\,c^2\,d^3+6\,A\,c^2\,d^2\,e\right)}{e^6}+\frac{B\,c^2\,x^3}{3\,e^3}","Not used",1,"x^2*((A*c^2 + 2*B*b*c)/(2*e^3) - (3*B*c^2*d)/(2*e^4)) - x*((3*d*((A*c^2 + 2*B*b*c)/e^3 - (3*B*c^2*d)/e^4))/e - (B*b^2 + 2*A*b*c)/e^3 + (3*B*c^2*d^2)/e^5) - ((9*B*c^2*d^5 - 7*A*c^2*d^4*e - 3*A*b^2*d^2*e^3 + 5*B*b^2*d^3*e^2 - 14*B*b*c*d^4*e + 10*A*b*c*d^3*e^2)/(2*e) + x*(5*B*c^2*d^4 - 2*A*b^2*d*e^3 - 4*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 - 8*B*b*c*d^3*e + 6*A*b*c*d^2*e^2))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) + (log(d + e*x)*(A*b^2*e^3 - 10*B*c^2*d^3 + 6*A*c^2*d^2*e - 3*B*b^2*d*e^2 - 6*A*b*c*d*e^2 + 12*B*b*c*d^2*e))/e^6 + (B*c^2*x^3)/(3*e^3)","B"
1122,1,328,238,0.140685,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^4,x)","x\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^4}-\frac{4\,B\,c^2\,d}{e^5}\right)+\frac{\frac{11\,B\,b^2\,d^3\,e^2-2\,A\,b^2\,d^2\,e^3-52\,B\,b\,c\,d^4\,e+22\,A\,b\,c\,d^3\,e^2+47\,B\,c^2\,d^5-26\,A\,c^2\,d^4\,e}{6\,e}-x^2\,\left(-3\,B\,b^2\,d\,e^3+A\,b^2\,e^4+12\,B\,b\,c\,d^2\,e^2-6\,A\,b\,c\,d\,e^3-10\,B\,c^2\,d^3\,e+6\,A\,c^2\,d^2\,e^2\right)+x\,\left(\frac{9\,B\,b^2\,d^2\,e^2}{2}-A\,b^2\,d\,e^3-20\,B\,b\,c\,d^3\,e+9\,A\,b\,c\,d^2\,e^2+\frac{35\,B\,c^2\,d^4}{2}-10\,A\,c^2\,d^3\,e\right)}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(B\,b^2\,e^2-8\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2+10\,B\,c^2\,d^2-4\,A\,c^2\,d\,e\right)}{e^6}+\frac{B\,c^2\,x^2}{2\,e^4}","Not used",1,"x*((A*c^2 + 2*B*b*c)/e^4 - (4*B*c^2*d)/e^5) + ((47*B*c^2*d^5 - 26*A*c^2*d^4*e - 2*A*b^2*d^2*e^3 + 11*B*b^2*d^3*e^2 - 52*B*b*c*d^4*e + 22*A*b*c*d^3*e^2)/(6*e) - x^2*(A*b^2*e^4 - 3*B*b^2*d*e^3 - 10*B*c^2*d^3*e + 6*A*c^2*d^2*e^2 - 6*A*b*c*d*e^3 + 12*B*b*c*d^2*e^2) + x*((35*B*c^2*d^4)/2 - A*b^2*d*e^3 - 10*A*c^2*d^3*e + (9*B*b^2*d^2*e^2)/2 - 20*B*b*c*d^3*e + 9*A*b*c*d^2*e^2))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (log(d + e*x)*(B*b^2*e^2 + 10*B*c^2*d^2 + 2*A*b*c*e^2 - 4*A*c^2*d*e - 8*B*b*c*d*e))/e^6 + (B*c^2*x^2)/(2*e^4)","B"
1123,1,338,240,1.469641,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^5,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c^2\,e-5\,B\,c^2\,d+2\,B\,b\,c\,e\right)}{e^6}-\frac{x^2\,\left(\frac{3\,B\,b^2\,d\,e^3}{2}+\frac{A\,b^2\,e^4}{2}-18\,B\,b\,c\,d^2\,e^2+3\,A\,b\,c\,d\,e^3+25\,B\,c^2\,d^3\,e-9\,A\,c^2\,d^2\,e^2\right)+\frac{3\,B\,b^2\,d^3\,e^2+A\,b^2\,d^2\,e^3-50\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2+77\,B\,c^2\,d^5-25\,A\,c^2\,d^4\,e}{12\,e}+x\,\left(B\,b^2\,d^2\,e^2+\frac{A\,b^2\,d\,e^3}{3}-\frac{44\,B\,b\,c\,d^3\,e}{3}+2\,A\,b\,c\,d^2\,e^2+\frac{65\,B\,c^2\,d^4}{3}-\frac{22\,A\,c^2\,d^3\,e}{3}\right)+x^3\,\left(B\,b^2\,e^4-8\,B\,b\,c\,d\,e^3+2\,A\,b\,c\,e^4+10\,B\,c^2\,d^2\,e^2-4\,A\,c^2\,d\,e^3\right)}{d^4\,e^5+4\,d^3\,e^6\,x+6\,d^2\,e^7\,x^2+4\,d\,e^8\,x^3+e^9\,x^4}+\frac{B\,c^2\,x}{e^5}","Not used",1,"(log(d + e*x)*(A*c^2*e - 5*B*c^2*d + 2*B*b*c*e))/e^6 - (x^2*((A*b^2*e^4)/2 + (3*B*b^2*d*e^3)/2 + 25*B*c^2*d^3*e - 9*A*c^2*d^2*e^2 + 3*A*b*c*d*e^3 - 18*B*b*c*d^2*e^2) + (77*B*c^2*d^5 - 25*A*c^2*d^4*e + A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 - 50*B*b*c*d^4*e + 6*A*b*c*d^3*e^2)/(12*e) + x*((65*B*c^2*d^4)/3 + (A*b^2*d*e^3)/3 - (22*A*c^2*d^3*e)/3 + B*b^2*d^2*e^2 - (44*B*b*c*d^3*e)/3 + 2*A*b*c*d^2*e^2) + x^3*(B*b^2*e^4 + 2*A*b*c*e^4 - 4*A*c^2*d*e^3 + 10*B*c^2*d^2*e^2 - 8*B*b*c*d*e^3))/(d^4*e^5 + e^9*x^4 + 4*d^3*e^6*x + 4*d*e^8*x^3 + 6*d^2*e^7*x^2) + (B*c^2*x)/e^5","B"
1124,1,343,248,1.464991,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^6,x)","\frac{B\,c^2\,\ln\left(d+e\,x\right)}{e^6}-\frac{\frac{3\,B\,b^2\,d^3\,e^2+2\,A\,b^2\,d^2\,e^3+24\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2-137\,B\,c^2\,d^5+12\,A\,c^2\,d^4\,e}{60\,e^6}+\frac{x^3\,\left(B\,b^2\,e^2+8\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2-30\,B\,c^2\,d^2+4\,A\,c^2\,d\,e\right)}{2\,e^3}+\frac{x\,\left(3\,B\,b^2\,d^2\,e^2+2\,A\,b^2\,d\,e^3+24\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2-125\,B\,c^2\,d^4+12\,A\,c^2\,d^3\,e\right)}{12\,e^5}+\frac{x^2\,\left(3\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2-110\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{6\,e^4}+\frac{c\,x^4\,\left(A\,c\,e+2\,B\,b\,e-5\,B\,c\,d\right)}{e^2}}{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,"(B*c^2*log(d + e*x))/e^6 - ((12*A*c^2*d^4*e - 137*B*c^2*d^5 + 2*A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 + 24*B*b*c*d^4*e + 6*A*b*c*d^3*e^2)/(60*e^6) + (x^3*(B*b^2*e^2 - 30*B*c^2*d^2 + 2*A*b*c*e^2 + 4*A*c^2*d*e + 8*B*b*c*d*e))/(2*e^3) + (x*(2*A*b^2*d*e^3 - 125*B*c^2*d^4 + 12*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 + 24*B*b*c*d^3*e + 6*A*b*c*d^2*e^2))/(12*e^5) + (x^2*(2*A*b^2*e^3 - 110*B*c^2*d^3 + 12*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(6*e^4) + (c*x^4*(A*c*e + 2*B*b*e - 5*B*c*d))/e^2)/(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"
1125,1,337,253,0.132730,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^7,x)","-\frac{\frac{x^3\,\left(B\,b^2\,e^2+4\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2+10\,B\,c^2\,d^2+2\,A\,c^2\,d\,e\right)}{3\,e^3}+\frac{d^2\,\left(B\,b^2\,d\,e^2+A\,b^2\,e^3+4\,B\,b\,c\,d^2\,e+2\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+2\,A\,c^2\,d^2\,e\right)}{60\,e^6}+\frac{x^2\,\left(B\,b^2\,d\,e^2+A\,b^2\,e^3+4\,B\,b\,c\,d^2\,e+2\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+2\,A\,c^2\,d^2\,e\right)}{4\,e^4}+\frac{d\,x\,\left(B\,b^2\,d\,e^2+A\,b^2\,e^3+4\,B\,b\,c\,d^2\,e+2\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+2\,A\,c^2\,d^2\,e\right)}{10\,e^5}+\frac{c\,x^4\,\left(A\,c\,e+2\,B\,b\,e+5\,B\,c\,d\right)}{2\,e^2}+\frac{B\,c^2\,x^5}{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,"-((x^3*(B*b^2*e^2 + 10*B*c^2*d^2 + 2*A*b*c*e^2 + 2*A*c^2*d*e + 4*B*b*c*d*e))/(3*e^3) + (d^2*(A*b^2*e^3 + 10*B*c^2*d^3 + 2*A*c^2*d^2*e + B*b^2*d*e^2 + 2*A*b*c*d*e^2 + 4*B*b*c*d^2*e))/(60*e^6) + (x^2*(A*b^2*e^3 + 10*B*c^2*d^3 + 2*A*c^2*d^2*e + B*b^2*d*e^2 + 2*A*b*c*d*e^2 + 4*B*b*c*d^2*e))/(4*e^4) + (d*x*(A*b^2*e^3 + 10*B*c^2*d^3 + 2*A*c^2*d^2*e + B*b^2*d*e^2 + 2*A*b*c*d*e^2 + 4*B*b*c*d^2*e))/(10*e^5) + (c*x^4*(A*c*e + 2*B*b*e + 5*B*c*d))/(2*e^2) + (B*c^2*x^5)/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"
1126,1,357,255,0.120361,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^8,x)","-\frac{\frac{x^3\,\left(3\,B\,b^2\,e^2+8\,B\,b\,c\,d\,e+6\,A\,b\,c\,e^2+10\,B\,c^2\,d^2+4\,A\,c^2\,d\,e\right)}{12\,e^3}+\frac{d^2\,\left(3\,B\,b^2\,d\,e^2+4\,A\,b^2\,e^3+8\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+4\,A\,c^2\,d^2\,e\right)}{420\,e^6}+\frac{x^2\,\left(3\,B\,b^2\,d\,e^2+4\,A\,b^2\,e^3+8\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+4\,A\,c^2\,d^2\,e\right)}{20\,e^4}+\frac{d\,x\,\left(3\,B\,b^2\,d\,e^2+4\,A\,b^2\,e^3+8\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+10\,B\,c^2\,d^3+4\,A\,c^2\,d^2\,e\right)}{60\,e^5}+\frac{c\,x^4\,\left(2\,A\,c\,e+4\,B\,b\,e+5\,B\,c\,d\right)}{6\,e^2}+\frac{B\,c^2\,x^5}{2\,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,"-((x^3*(3*B*b^2*e^2 + 10*B*c^2*d^2 + 6*A*b*c*e^2 + 4*A*c^2*d*e + 8*B*b*c*d*e))/(12*e^3) + (d^2*(4*A*b^2*e^3 + 10*B*c^2*d^3 + 4*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 8*B*b*c*d^2*e))/(420*e^6) + (x^2*(4*A*b^2*e^3 + 10*B*c^2*d^3 + 4*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 8*B*b*c*d^2*e))/(20*e^4) + (d*x*(4*A*b^2*e^3 + 10*B*c^2*d^3 + 4*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 8*B*b*c*d^2*e))/(60*e^5) + (c*x^4*(2*A*c*e + 4*B*b*e + 5*B*c*d))/(6*e^2) + (B*c^2*x^5)/(2*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"
1127,1,2500,484,2.881295,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x)*(d + e*x)^m,x)","\frac{B\,c^3\,x^8\,{\left(d+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{{\left(d+e\,x\right)}^m\,\left(-24\,B\,b^3\,d^5\,e^3\,m^3-504\,B\,b^3\,d^5\,e^3\,m^2-3504\,B\,b^3\,d^5\,e^3\,m-8064\,B\,b^3\,d^5\,e^3+6\,A\,b^3\,d^4\,e^4\,m^4+156\,A\,b^3\,d^4\,e^4\,m^3+1506\,A\,b^3\,d^4\,e^4\,m^2+6396\,A\,b^3\,d^4\,e^4\,m+10080\,A\,b^3\,d^4\,e^4+360\,B\,b^2\,c\,d^6\,e^2\,m^2+5400\,B\,b^2\,c\,d^6\,e^2\,m+20160\,B\,b^2\,c\,d^6\,e^2-72\,A\,b^2\,c\,d^5\,e^3\,m^3-1512\,A\,b^2\,c\,d^5\,e^3\,m^2-10512\,A\,b^2\,c\,d^5\,e^3\,m-24192\,A\,b^2\,c\,d^5\,e^3-2160\,B\,b\,c^2\,d^7\,e\,m-17280\,B\,b\,c^2\,d^7\,e+360\,A\,b\,c^2\,d^6\,e^2\,m^2+5400\,A\,b\,c^2\,d^6\,e^2\,m+20160\,A\,b\,c^2\,d^6\,e^2+5040\,B\,c^3\,d^8-720\,A\,c^3\,d^7\,e\,m-5760\,A\,c^3\,d^7\,e\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(B\,b^3\,e^3\,m^3+21\,B\,b^3\,e^3\,m^2+146\,B\,b^3\,e^3\,m+336\,B\,b^3\,e^3+3\,B\,b^2\,c\,d\,e^2\,m^3+45\,B\,b^2\,c\,d\,e^2\,m^2+168\,B\,b^2\,c\,d\,e^2\,m+3\,A\,b^2\,c\,e^3\,m^3+63\,A\,b^2\,c\,e^3\,m^2+438\,A\,b^2\,c\,e^3\,m+1008\,A\,b^2\,c\,e^3-18\,B\,b\,c^2\,d^2\,e\,m^2-144\,B\,b\,c^2\,d^2\,e\,m+3\,A\,b\,c^2\,d\,e^2\,m^3+45\,A\,b\,c^2\,d\,e^2\,m^2+168\,A\,b\,c^2\,d\,e^2\,m+42\,B\,c^3\,d^3\,m-6\,A\,c^3\,d^2\,e\,m^2-48\,A\,c^3\,d^2\,e\,m\right)}{e^3\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(B\,b^3\,d\,e^3\,m^4+21\,B\,b^3\,d\,e^3\,m^3+146\,B\,b^3\,d\,e^3\,m^2+336\,B\,b^3\,d\,e^3\,m+A\,b^3\,e^4\,m^4+26\,A\,b^3\,e^4\,m^3+251\,A\,b^3\,e^4\,m^2+1066\,A\,b^3\,e^4\,m+1680\,A\,b^3\,e^4-15\,B\,b^2\,c\,d^2\,e^2\,m^3-225\,B\,b^2\,c\,d^2\,e^2\,m^2-840\,B\,b^2\,c\,d^2\,e^2\,m+3\,A\,b^2\,c\,d\,e^3\,m^4+63\,A\,b^2\,c\,d\,e^3\,m^3+438\,A\,b^2\,c\,d\,e^3\,m^2+1008\,A\,b^2\,c\,d\,e^3\,m+90\,B\,b\,c^2\,d^3\,e\,m^2+720\,B\,b\,c^2\,d^3\,e\,m-15\,A\,b\,c^2\,d^2\,e^2\,m^3-225\,A\,b\,c^2\,d^2\,e^2\,m^2-840\,A\,b\,c^2\,d^2\,e^2\,m-210\,B\,c^3\,d^4\,m+30\,A\,c^3\,d^3\,e\,m^2+240\,A\,c^3\,d^3\,e\,m\right)}{e^4\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{6\,d^3\,m\,x\,{\left(d+e\,x\right)}^m\,\left(-4\,B\,b^3\,d\,e^3\,m^3-84\,B\,b^3\,d\,e^3\,m^2-584\,B\,b^3\,d\,e^3\,m-1344\,B\,b^3\,d\,e^3+A\,b^3\,e^4\,m^4+26\,A\,b^3\,e^4\,m^3+251\,A\,b^3\,e^4\,m^2+1066\,A\,b^3\,e^4\,m+1680\,A\,b^3\,e^4+60\,B\,b^2\,c\,d^2\,e^2\,m^2+900\,B\,b^2\,c\,d^2\,e^2\,m+3360\,B\,b^2\,c\,d^2\,e^2-12\,A\,b^2\,c\,d\,e^3\,m^3-252\,A\,b^2\,c\,d\,e^3\,m^2-1752\,A\,b^2\,c\,d\,e^3\,m-4032\,A\,b^2\,c\,d\,e^3-360\,B\,b\,c^2\,d^3\,e\,m-2880\,B\,b\,c^2\,d^3\,e+60\,A\,b\,c^2\,d^2\,e^2\,m^2+900\,A\,b\,c^2\,d^2\,e^2\,m+3360\,A\,b\,c^2\,d^2\,e^2+840\,B\,c^3\,d^4-120\,A\,c^3\,d^3\,e\,m-960\,A\,c^3\,d^3\,e\right)}{e^7\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^2\,x^7\,{\left(d+e\,x\right)}^m\,\left(8\,A\,c\,e+24\,B\,b\,e+A\,c\,e\,m+3\,B\,b\,e\,m+B\,c\,d\,m\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(3\,B\,b^2\,e^2\,m^2+45\,B\,b^2\,e^2\,m+168\,B\,b^2\,e^2+3\,B\,b\,c\,d\,e\,m^2+24\,B\,b\,c\,d\,e\,m+3\,A\,b\,c\,e^2\,m^2+45\,A\,b\,c\,e^2\,m+168\,A\,b\,c\,e^2-7\,B\,c^2\,d^2\,m+A\,c^2\,d\,e\,m^2+8\,A\,c^2\,d\,e\,m\right)}{e^2\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{d\,m\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(-4\,B\,b^3\,d\,e^3\,m^3-84\,B\,b^3\,d\,e^3\,m^2-584\,B\,b^3\,d\,e^3\,m-1344\,B\,b^3\,d\,e^3+A\,b^3\,e^4\,m^4+26\,A\,b^3\,e^4\,m^3+251\,A\,b^3\,e^4\,m^2+1066\,A\,b^3\,e^4\,m+1680\,A\,b^3\,e^4+60\,B\,b^2\,c\,d^2\,e^2\,m^2+900\,B\,b^2\,c\,d^2\,e^2\,m+3360\,B\,b^2\,c\,d^2\,e^2-12\,A\,b^2\,c\,d\,e^3\,m^3-252\,A\,b^2\,c\,d\,e^3\,m^2-1752\,A\,b^2\,c\,d\,e^3\,m-4032\,A\,b^2\,c\,d\,e^3-360\,B\,b\,c^2\,d^3\,e\,m-2880\,B\,b\,c^2\,d^3\,e+60\,A\,b\,c^2\,d^2\,e^2\,m^2+900\,A\,b\,c^2\,d^2\,e^2\,m+3360\,A\,b\,c^2\,d^2\,e^2+840\,B\,c^3\,d^4-120\,A\,c^3\,d^3\,e\,m-960\,A\,c^3\,d^3\,e\right)}{e^5\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}-\frac{3\,d^2\,m\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(-4\,B\,b^3\,d\,e^3\,m^3-84\,B\,b^3\,d\,e^3\,m^2-584\,B\,b^3\,d\,e^3\,m-1344\,B\,b^3\,d\,e^3+A\,b^3\,e^4\,m^4+26\,A\,b^3\,e^4\,m^3+251\,A\,b^3\,e^4\,m^2+1066\,A\,b^3\,e^4\,m+1680\,A\,b^3\,e^4+60\,B\,b^2\,c\,d^2\,e^2\,m^2+900\,B\,b^2\,c\,d^2\,e^2\,m+3360\,B\,b^2\,c\,d^2\,e^2-12\,A\,b^2\,c\,d\,e^3\,m^3-252\,A\,b^2\,c\,d\,e^3\,m^2-1752\,A\,b^2\,c\,d\,e^3\,m-4032\,A\,b^2\,c\,d\,e^3-360\,B\,b\,c^2\,d^3\,e\,m-2880\,B\,b\,c^2\,d^3\,e+60\,A\,b\,c^2\,d^2\,e^2\,m^2+900\,A\,b\,c^2\,d^2\,e^2\,m+3360\,A\,b\,c^2\,d^2\,e^2+840\,B\,c^3\,d^4-120\,A\,c^3\,d^3\,e\,m-960\,A\,c^3\,d^3\,e\right)}{e^6\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}","Not used",1,"(B*c^3*x^8*(d + 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) - ((d + e*x)^m*(5040*B*c^3*d^8 - 5760*A*c^3*d^7*e + 10080*A*b^3*d^4*e^4 - 8064*B*b^3*d^5*e^3 + 20160*A*b*c^2*d^6*e^2 - 24192*A*b^2*c*d^5*e^3 + 20160*B*b^2*c*d^6*e^2 + 6396*A*b^3*d^4*e^4*m - 3504*B*b^3*d^5*e^3*m + 1506*A*b^3*d^4*e^4*m^2 + 156*A*b^3*d^4*e^4*m^3 + 6*A*b^3*d^4*e^4*m^4 - 504*B*b^3*d^5*e^3*m^2 - 24*B*b^3*d^5*e^3*m^3 - 17280*B*b*c^2*d^7*e - 720*A*c^3*d^7*e*m + 360*A*b*c^2*d^6*e^2*m^2 - 1512*A*b^2*c*d^5*e^3*m^2 - 72*A*b^2*c*d^5*e^3*m^3 + 360*B*b^2*c*d^6*e^2*m^2 - 2160*B*b*c^2*d^7*e*m + 5400*A*b*c^2*d^6*e^2*m - 10512*A*b^2*c*d^5*e^3*m + 5400*B*b^2*c*d^6*e^2*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(336*B*b^3*e^3 + 1008*A*b^2*c*e^3 + 146*B*b^3*e^3*m + 42*B*c^3*d^3*m + 21*B*b^3*e^3*m^2 + B*b^3*e^3*m^3 + 63*A*b^2*c*e^3*m^2 + 3*A*b^2*c*e^3*m^3 - 6*A*c^3*d^2*e*m^2 + 438*A*b^2*c*e^3*m - 48*A*c^3*d^2*e*m + 168*A*b*c^2*d*e^2*m - 144*B*b*c^2*d^2*e*m + 168*B*b^2*c*d*e^2*m + 45*A*b*c^2*d*e^2*m^2 + 3*A*b*c^2*d*e^2*m^3 - 18*B*b*c^2*d^2*e*m^2 + 45*B*b^2*c*d*e^2*m^2 + 3*B*b^2*c*d*e^2*m^3))/(e^3*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(1680*A*b^3*e^4 + 1066*A*b^3*e^4*m - 210*B*c^3*d^4*m + 251*A*b^3*e^4*m^2 + 26*A*b^3*e^4*m^3 + A*b^3*e^4*m^4 + 30*A*c^3*d^3*e*m^2 + 146*B*b^3*d*e^3*m^2 + 21*B*b^3*d*e^3*m^3 + B*b^3*d*e^3*m^4 + 240*A*c^3*d^3*e*m + 336*B*b^3*d*e^3*m - 225*A*b*c^2*d^2*e^2*m^2 - 15*A*b*c^2*d^2*e^2*m^3 - 225*B*b^2*c*d^2*e^2*m^2 - 15*B*b^2*c*d^2*e^2*m^3 + 1008*A*b^2*c*d*e^3*m + 720*B*b*c^2*d^3*e*m - 840*A*b*c^2*d^2*e^2*m + 438*A*b^2*c*d*e^3*m^2 + 63*A*b^2*c*d*e^3*m^3 + 3*A*b^2*c*d*e^3*m^4 - 840*B*b^2*c*d^2*e^2*m + 90*B*b*c^2*d^3*e*m^2))/(e^4*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (6*d^3*m*x*(d + e*x)^m*(1680*A*b^3*e^4 + 840*B*c^3*d^4 - 960*A*c^3*d^3*e - 1344*B*b^3*d*e^3 + 1066*A*b^3*e^4*m + 251*A*b^3*e^4*m^2 + 26*A*b^3*e^4*m^3 + A*b^3*e^4*m^4 + 3360*A*b*c^2*d^2*e^2 + 3360*B*b^2*c*d^2*e^2 - 84*B*b^3*d*e^3*m^2 - 4*B*b^3*d*e^3*m^3 - 4032*A*b^2*c*d*e^3 - 2880*B*b*c^2*d^3*e - 120*A*c^3*d^3*e*m - 584*B*b^3*d*e^3*m + 60*A*b*c^2*d^2*e^2*m^2 + 60*B*b^2*c*d^2*e^2*m^2 - 1752*A*b^2*c*d*e^3*m - 360*B*b*c^2*d^3*e*m + 900*A*b*c^2*d^2*e^2*m - 252*A*b^2*c*d*e^3*m^2 - 12*A*b^2*c*d*e^3*m^3 + 900*B*b^2*c*d^2*e^2*m))/(e^7*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c^2*x^7*(d + e*x)^m*(8*A*c*e + 24*B*b*e + A*c*e*m + 3*B*b*e*m + B*c*d*m)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(168*B*b^2*e^2 + 168*A*b*c*e^2 + 45*B*b^2*e^2*m - 7*B*c^2*d^2*m + 3*B*b^2*e^2*m^2 + 45*A*b*c*e^2*m + 8*A*c^2*d*e*m + 3*A*b*c*e^2*m^2 + A*c^2*d*e*m^2 + 24*B*b*c*d*e*m + 3*B*b*c*d*e*m^2))/(e^2*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (d*m*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(1680*A*b^3*e^4 + 840*B*c^3*d^4 - 960*A*c^3*d^3*e - 1344*B*b^3*d*e^3 + 1066*A*b^3*e^4*m + 251*A*b^3*e^4*m^2 + 26*A*b^3*e^4*m^3 + A*b^3*e^4*m^4 + 3360*A*b*c^2*d^2*e^2 + 3360*B*b^2*c*d^2*e^2 - 84*B*b^3*d*e^3*m^2 - 4*B*b^3*d*e^3*m^3 - 4032*A*b^2*c*d*e^3 - 2880*B*b*c^2*d^3*e - 120*A*c^3*d^3*e*m - 584*B*b^3*d*e^3*m + 60*A*b*c^2*d^2*e^2*m^2 + 60*B*b^2*c*d^2*e^2*m^2 - 1752*A*b^2*c*d*e^3*m - 360*B*b*c^2*d^3*e*m + 900*A*b*c^2*d^2*e^2*m - 252*A*b^2*c*d*e^3*m^2 - 12*A*b^2*c*d*e^3*m^3 + 900*B*b^2*c*d^2*e^2*m))/(e^5*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) - (3*d^2*m*x^2*(m + 1)*(d + e*x)^m*(1680*A*b^3*e^4 + 840*B*c^3*d^4 - 960*A*c^3*d^3*e - 1344*B*b^3*d*e^3 + 1066*A*b^3*e^4*m + 251*A*b^3*e^4*m^2 + 26*A*b^3*e^4*m^3 + A*b^3*e^4*m^4 + 3360*A*b*c^2*d^2*e^2 + 3360*B*b^2*c*d^2*e^2 - 84*B*b^3*d*e^3*m^2 - 4*B*b^3*d*e^3*m^3 - 4032*A*b^2*c*d*e^3 - 2880*B*b*c^2*d^3*e - 120*A*c^3*d^3*e*m - 584*B*b^3*d*e^3*m + 60*A*b*c^2*d^2*e^2*m^2 + 60*B*b^2*c*d^2*e^2*m^2 - 1752*A*b^2*c*d*e^3*m - 360*B*b*c^2*d^3*e*m + 900*A*b*c^2*d^2*e^2*m - 252*A*b^2*c*d*e^3*m^2 - 12*A*b^2*c*d*e^3*m^3 + 900*B*b^2*c*d^2*e^2*m))/(e^6*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))","B"
1128,1,445,412,0.160307,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x)*(d + e*x)^4,x)","x^6\,\left(\frac{2\,B\,b^3\,d^3\,e}{3}+A\,b^3\,d^2\,e^2+\frac{B\,b^2\,c\,d^4}{2}+2\,A\,b^2\,c\,d^3\,e+\frac{A\,b\,c^2\,d^4}{2}\right)+x^{10}\,\left(\frac{3\,B\,b^2\,c\,e^4}{10}+\frac{6\,B\,b\,c^2\,d\,e^3}{5}+\frac{3\,A\,b\,c^2\,e^4}{10}+\frac{3\,B\,c^3\,d^2\,e^2}{5}+\frac{2\,A\,c^3\,d\,e^3}{5}\right)+x^8\,\left(\frac{B\,b^3\,d\,e^3}{2}+\frac{A\,b^3\,e^4}{8}+\frac{9\,B\,b^2\,c\,d^2\,e^2}{4}+\frac{3\,A\,b^2\,c\,d\,e^3}{2}+\frac{3\,B\,b\,c^2\,d^3\,e}{2}+\frac{9\,A\,b\,c^2\,d^2\,e^2}{4}+\frac{B\,c^3\,d^4}{8}+\frac{A\,c^3\,d^3\,e}{2}\right)+x^7\,\left(\frac{6\,B\,b^3\,d^2\,e^2}{7}+\frac{4\,A\,b^3\,d\,e^3}{7}+\frac{12\,B\,b^2\,c\,d^3\,e}{7}+\frac{18\,A\,b^2\,c\,d^2\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^4}{7}+\frac{12\,A\,b\,c^2\,d^3\,e}{7}+\frac{A\,c^3\,d^4}{7}\right)+x^9\,\left(\frac{B\,b^3\,e^4}{9}+\frac{4\,B\,b^2\,c\,d\,e^3}{3}+\frac{A\,b^2\,c\,e^4}{3}+2\,B\,b\,c^2\,d^2\,e^2+\frac{4\,A\,b\,c^2\,d\,e^3}{3}+\frac{4\,B\,c^3\,d^3\,e}{9}+\frac{2\,A\,c^3\,d^2\,e^2}{3}\right)+\frac{b^2\,d^3\,x^5\,\left(4\,A\,b\,e+3\,A\,c\,d+B\,b\,d\right)}{5}+\frac{c^2\,e^3\,x^{11}\,\left(A\,c\,e+3\,B\,b\,e+4\,B\,c\,d\right)}{11}+\frac{A\,b^3\,d^4\,x^4}{4}+\frac{B\,c^3\,e^4\,x^{12}}{12}","Not used",1,"x^6*((A*b*c^2*d^4)/2 + (B*b^2*c*d^4)/2 + (2*B*b^3*d^3*e)/3 + A*b^3*d^2*e^2 + 2*A*b^2*c*d^3*e) + x^10*((3*A*b*c^2*e^4)/10 + (3*B*b^2*c*e^4)/10 + (2*A*c^3*d*e^3)/5 + (3*B*c^3*d^2*e^2)/5 + (6*B*b*c^2*d*e^3)/5) + x^8*((A*b^3*e^4)/8 + (B*c^3*d^4)/8 + (A*c^3*d^3*e)/2 + (B*b^3*d*e^3)/2 + (9*A*b*c^2*d^2*e^2)/4 + (9*B*b^2*c*d^2*e^2)/4 + (3*A*b^2*c*d*e^3)/2 + (3*B*b*c^2*d^3*e)/2) + x^7*((A*c^3*d^4)/7 + (3*B*b*c^2*d^4)/7 + (4*A*b^3*d*e^3)/7 + (6*B*b^3*d^2*e^2)/7 + (18*A*b^2*c*d^2*e^2)/7 + (12*A*b*c^2*d^3*e)/7 + (12*B*b^2*c*d^3*e)/7) + x^9*((B*b^3*e^4)/9 + (A*b^2*c*e^4)/3 + (4*B*c^3*d^3*e)/9 + (2*A*c^3*d^2*e^2)/3 + 2*B*b*c^2*d^2*e^2 + (4*A*b*c^2*d*e^3)/3 + (4*B*b^2*c*d*e^3)/3) + (b^2*d^3*x^5*(4*A*b*e + 3*A*c*d + B*b*d))/5 + (c^2*e^3*x^11*(A*c*e + 3*B*b*e + 4*B*c*d))/11 + (A*b^3*d^4*x^4)/4 + (B*c^3*e^4*x^12)/12","B"
1129,1,340,305,1.418524,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x)*(d + e*x)^3,x)","x^6\,\left(\frac{B\,b^3\,d^2\,e}{2}+\frac{A\,b^3\,d\,e^2}{2}+\frac{B\,b^2\,c\,d^3}{2}+\frac{3\,A\,b^2\,c\,d^2\,e}{2}+\frac{A\,b\,c^2\,d^3}{2}\right)+x^9\,\left(\frac{B\,b^2\,c\,e^3}{3}+B\,b\,c^2\,d\,e^2+\frac{A\,b\,c^2\,e^3}{3}+\frac{B\,c^3\,d^2\,e}{3}+\frac{A\,c^3\,d\,e^2}{3}\right)+x^7\,\left(\frac{3\,B\,b^3\,d\,e^2}{7}+\frac{A\,b^3\,e^3}{7}+\frac{9\,B\,b^2\,c\,d^2\,e}{7}+\frac{9\,A\,b^2\,c\,d\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^3}{7}+\frac{9\,A\,b\,c^2\,d^2\,e}{7}+\frac{A\,c^3\,d^3}{7}\right)+x^8\,\left(\frac{B\,b^3\,e^3}{8}+\frac{9\,B\,b^2\,c\,d\,e^2}{8}+\frac{3\,A\,b^2\,c\,e^3}{8}+\frac{9\,B\,b\,c^2\,d^2\,e}{8}+\frac{9\,A\,b\,c^2\,d\,e^2}{8}+\frac{B\,c^3\,d^3}{8}+\frac{3\,A\,c^3\,d^2\,e}{8}\right)+\frac{b^2\,d^2\,x^5\,\left(3\,A\,b\,e+3\,A\,c\,d+B\,b\,d\right)}{5}+\frac{c^2\,e^2\,x^{10}\,\left(A\,c\,e+3\,B\,b\,e+3\,B\,c\,d\right)}{10}+\frac{A\,b^3\,d^3\,x^4}{4}+\frac{B\,c^3\,e^3\,x^{11}}{11}","Not used",1,"x^6*((A*b*c^2*d^3)/2 + (B*b^2*c*d^3)/2 + (A*b^3*d*e^2)/2 + (B*b^3*d^2*e)/2 + (3*A*b^2*c*d^2*e)/2) + x^9*((A*b*c^2*e^3)/3 + (B*b^2*c*e^3)/3 + (A*c^3*d*e^2)/3 + (B*c^3*d^2*e)/3 + B*b*c^2*d*e^2) + x^7*((A*b^3*e^3)/7 + (A*c^3*d^3)/7 + (3*B*b*c^2*d^3)/7 + (3*B*b^3*d*e^2)/7 + (9*A*b*c^2*d^2*e)/7 + (9*A*b^2*c*d*e^2)/7 + (9*B*b^2*c*d^2*e)/7) + x^8*((B*b^3*e^3)/8 + (B*c^3*d^3)/8 + (3*A*b^2*c*e^3)/8 + (3*A*c^3*d^2*e)/8 + (9*A*b*c^2*d*e^2)/8 + (9*B*b*c^2*d^2*e)/8 + (9*B*b^2*c*d*e^2)/8) + (b^2*d^2*x^5*(3*A*b*e + 3*A*c*d + B*b*d))/5 + (c^2*e^2*x^10*(A*c*e + 3*B*b*e + 3*B*c*d))/10 + (A*b^3*d^3*x^4)/4 + (B*c^3*e^3*x^11)/11","B"
1130,1,235,225,0.091757,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x)*(d + e*x)^2,x)","x^7\,\left(\frac{B\,b^3\,e^2}{7}+\frac{6\,B\,b^2\,c\,d\,e}{7}+\frac{3\,A\,b^2\,c\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^2}{7}+\frac{6\,A\,b\,c^2\,d\,e}{7}+\frac{A\,c^3\,d^2}{7}\right)+x^6\,\left(\frac{B\,b^3\,d\,e}{3}+\frac{A\,b^3\,e^2}{6}+\frac{B\,b^2\,c\,d^2}{2}+A\,b^2\,c\,d\,e+\frac{A\,b\,c^2\,d^2}{2}\right)+x^8\,\left(\frac{3\,B\,b^2\,c\,e^2}{8}+\frac{3\,B\,b\,c^2\,d\,e}{4}+\frac{3\,A\,b\,c^2\,e^2}{8}+\frac{B\,c^3\,d^2}{8}+\frac{A\,c^3\,d\,e}{4}\right)+\frac{b^2\,d\,x^5\,\left(2\,A\,b\,e+3\,A\,c\,d+B\,b\,d\right)}{5}+\frac{c^2\,e\,x^9\,\left(A\,c\,e+3\,B\,b\,e+2\,B\,c\,d\right)}{9}+\frac{A\,b^3\,d^2\,x^4}{4}+\frac{B\,c^3\,e^2\,x^{10}}{10}","Not used",1,"x^7*((A*c^3*d^2)/7 + (B*b^3*e^2)/7 + (3*A*b^2*c*e^2)/7 + (3*B*b*c^2*d^2)/7 + (6*A*b*c^2*d*e)/7 + (6*B*b^2*c*d*e)/7) + x^6*((A*b^3*e^2)/6 + (B*b^3*d*e)/3 + (A*b*c^2*d^2)/2 + (B*b^2*c*d^2)/2 + A*b^2*c*d*e) + x^8*((B*c^3*d^2)/8 + (A*c^3*d*e)/4 + (3*A*b*c^2*e^2)/8 + (3*B*b^2*c*e^2)/8 + (3*B*b*c^2*d*e)/4) + (b^2*d*x^5*(2*A*b*e + 3*A*c*d + B*b*d))/5 + (c^2*e*x^9*(A*c*e + 3*B*b*e + 2*B*c*d))/9 + (A*b^3*d^2*x^4)/4 + (B*c^3*e^2*x^10)/10","B"
1131,1,147,139,1.371616,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x)*(d + e*x),x)","x^5\,\left(\frac{A\,b^3\,e}{5}+\frac{B\,b^3\,d}{5}+\frac{3\,A\,b^2\,c\,d}{5}\right)+x^8\,\left(\frac{A\,c^3\,e}{8}+\frac{B\,c^3\,d}{8}+\frac{3\,B\,b\,c^2\,e}{8}\right)+x^6\,\left(\frac{B\,b^3\,e}{6}+\frac{A\,b\,c^2\,d}{2}+\frac{A\,b^2\,c\,e}{2}+\frac{B\,b^2\,c\,d}{2}\right)+x^7\,\left(\frac{A\,c^3\,d}{7}+\frac{3\,A\,b\,c^2\,e}{7}+\frac{3\,B\,b\,c^2\,d}{7}+\frac{3\,B\,b^2\,c\,e}{7}\right)+\frac{A\,b^3\,d\,x^4}{4}+\frac{B\,c^3\,e\,x^9}{9}","Not used",1,"x^5*((A*b^3*e)/5 + (B*b^3*d)/5 + (3*A*b^2*c*d)/5) + x^8*((A*c^3*e)/8 + (B*c^3*d)/8 + (3*B*b*c^2*e)/8) + x^6*((B*b^3*e)/6 + (A*b*c^2*d)/2 + (A*b^2*c*e)/2 + (B*b^2*c*d)/2) + x^7*((A*c^3*d)/7 + (3*A*b*c^2*e)/7 + (3*B*b*c^2*d)/7 + (3*B*b^2*c*e)/7) + (A*b^3*d*x^4)/4 + (B*c^3*e*x^9)/9","B"
1132,1,69,75,0.038351,"\text{Not used}","int((b*x + c*x^2)^3*(A + B*x),x)","x^5\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,c\,b^2}{5}\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,B\,b\,c^2}{7}\right)+\frac{A\,b^3\,x^4}{4}+\frac{B\,c^3\,x^8}{8}+\frac{b\,c\,x^6\,\left(A\,c+B\,b\right)}{2}","Not used",1,"x^5*((B*b^3)/5 + (3*A*b^2*c)/5) + x^7*((A*c^3)/7 + (3*B*b*c^2)/7) + (A*b^3*x^4)/4 + (B*c^3*x^8)/8 + (b*c*x^6*(A*c + B*b))/2","B"
1133,1,560,257,1.386852,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/(d + e*x),x)","x^4\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{4\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e}\right)}{4\,e}\right)-x^5\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{5\,e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{5\,e}\right)+x^3\,\left(\frac{A\,b^3}{3\,e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e}\right)}{e}\right)}{3\,e}\right)+x^6\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{6\,e}-\frac{B\,c^3\,d}{6\,e^2}\right)-\frac{\ln\left(d+e\,x\right)\,\left(-B\,b^3\,d^4\,e^3+A\,b^3\,d^3\,e^4+3\,B\,b^2\,c\,d^5\,e^2-3\,A\,b^2\,c\,d^4\,e^3-3\,B\,b\,c^2\,d^6\,e+3\,A\,b\,c^2\,d^5\,e^2+B\,c^3\,d^7-A\,c^3\,d^6\,e\right)}{e^8}-\frac{d\,x^2\,\left(\frac{A\,b^3}{e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e}\right)}{e}\right)}{e}\right)}{2\,e}+\frac{d^2\,x\,\left(\frac{A\,b^3}{e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e}\right)}{e}\right)}{e}\right)}{e^2}+\frac{B\,c^3\,x^7}{7\,e}","Not used",1,"x^4*((B*b^3 + 3*A*b^2*c)/(4*e) + (d*((d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e - (3*b*c*(A*c + B*b))/e))/(4*e)) - x^5*((d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/(5*e) - (3*b*c*(A*c + B*b))/(5*e)) + x^3*((A*b^3)/(3*e) - (d*((B*b^3 + 3*A*b^2*c)/e + (d*((d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e - (3*b*c*(A*c + B*b))/e))/e))/(3*e)) + x^6*((A*c^3 + 3*B*b*c^2)/(6*e) - (B*c^3*d)/(6*e^2)) - (log(d + e*x)*(B*c^3*d^7 - A*c^3*d^6*e + A*b^3*d^3*e^4 - B*b^3*d^4*e^3 + 3*A*b*c^2*d^5*e^2 - 3*A*b^2*c*d^4*e^3 + 3*B*b^2*c*d^5*e^2 - 3*B*b*c^2*d^6*e))/e^8 - (d*x^2*((A*b^3)/e - (d*((B*b^3 + 3*A*b^2*c)/e + (d*((d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e - (3*b*c*(A*c + B*b))/e))/e))/e))/(2*e) + (d^2*x*((A*b^3)/e - (d*((B*b^3 + 3*A*b^2*c)/e + (d*((d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e - (3*b*c*(A*c + B*b))/e))/e))/e))/e^2 + (B*c^3*x^7)/(7*e)","B"
1134,1,997,287,1.444396,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/(d + e*x)^2,x)","x^3\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{3\,e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{3\,e}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{3\,e^2}\right)+x^2\,\left(\frac{A\,b^3}{2\,e^2}-\frac{d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{2\,e^2}\right)+x^5\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{5\,e^2}-\frac{2\,B\,c^3\,d}{5\,e^3}\right)-x\,\left(\frac{2\,d\,\left(\frac{A\,b^3}{e^2}-\frac{2\,d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}\right)}{e^2}\right)-x^4\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{2\,e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{4\,e^2}+\frac{B\,c^3\,d^2}{4\,e^4}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-4\,B\,b^3\,d^3\,e^3+3\,A\,b^3\,d^2\,e^4+15\,B\,b^2\,c\,d^4\,e^2-12\,A\,b^2\,c\,d^3\,e^3-18\,B\,b\,c^2\,d^5\,e+15\,A\,b\,c^2\,d^4\,e^2+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)}{e^8}+\frac{-B\,b^3\,d^4\,e^3+A\,b^3\,d^3\,e^4+3\,B\,b^2\,c\,d^5\,e^2-3\,A\,b^2\,c\,d^4\,e^3-3\,B\,b\,c^2\,d^6\,e+3\,A\,b\,c^2\,d^5\,e^2+B\,c^3\,d^7-A\,c^3\,d^6\,e}{e\,\left(x\,e^8+d\,e^7\right)}+\frac{B\,c^3\,x^6}{6\,e^2}","Not used",1,"x^3*((B*b^3 + 3*A*b^2*c)/(3*e^2) + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/(3*e) - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/(3*e^2)) + x^2*((A*b^3)/(2*e^2) - (d*((B*b^3 + 3*A*b^2*c)/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2))/e + (d^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/(2*e^2)) + x^5*((A*c^3 + 3*B*b*c^2)/(5*e^2) - (2*B*c^3*d)/(5*e^3)) - x*((2*d*((A*b^3)/e^2 - (2*d*((B*b^3 + 3*A*b^2*c)/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2))/e + (d^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/e^2))/e + (d^2*((B*b^3 + 3*A*b^2*c)/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*b*c*(A*c + B*b))/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2))/e^2) - x^4*((d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/(2*e) - (3*b*c*(A*c + B*b))/(4*e^2) + (B*c^3*d^2)/(4*e^4)) + (log(d + e*x)*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 3*A*b^3*d^2*e^4 - 4*B*b^3*d^3*e^3 + 15*A*b*c^2*d^4*e^2 - 12*A*b^2*c*d^3*e^3 + 15*B*b^2*c*d^4*e^2 - 18*B*b*c^2*d^5*e))/e^8 + (B*c^3*d^7 - A*c^3*d^6*e + A*b^3*d^3*e^4 - B*b^3*d^4*e^3 + 3*A*b*c^2*d^5*e^2 - 3*A*b^2*c*d^4*e^3 + 3*B*b^2*c*d^5*e^2 - 3*B*b*c^2*d^6*e)/(e*(d*e^7 + e^8*x)) + (B*c^3*x^6)/(6*e^2)","B"
1135,1,828,359,0.189659,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/(d + e*x)^3,x)","x\,\left(\frac{A\,b^3}{e^3}-\frac{3\,d\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e^3}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^2}-\frac{B\,c^3\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e^2}\right)+x^4\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{4\,e^3}-\frac{3\,B\,c^3\,d}{4\,e^4}\right)-\frac{x\,\left(-4\,B\,b^3\,d^3\,e^3+3\,A\,b^3\,d^2\,e^4+15\,B\,b^2\,c\,d^4\,e^2-12\,A\,b^2\,c\,d^3\,e^3-18\,B\,b\,c^2\,d^5\,e+15\,A\,b\,c^2\,d^4\,e^2+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)+\frac{-7\,B\,b^3\,d^4\,e^3+5\,A\,b^3\,d^3\,e^4+27\,B\,b^2\,c\,d^5\,e^2-21\,A\,b^2\,c\,d^4\,e^3-33\,B\,b\,c^2\,d^6\,e+27\,A\,b\,c^2\,d^5\,e^2+13\,B\,c^3\,d^7-11\,A\,c^3\,d^6\,e}{2\,e}}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}+x^2\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{2\,e^3}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{2\,e}-\frac{3\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{2\,e^2}-\frac{B\,c^3\,d^3}{2\,e^6}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{b\,c\,\left(A\,c+B\,b\right)}{e^3}+\frac{B\,c^3\,d^2}{e^5}\right)-\frac{\ln\left(d+e\,x\right)\,\left(-6\,B\,b^3\,d^2\,e^3+3\,A\,b^3\,d\,e^4+30\,B\,b^2\,c\,d^3\,e^2-18\,A\,b^2\,c\,d^2\,e^3-45\,B\,b\,c^2\,d^4\,e+30\,A\,b\,c^2\,d^3\,e^2+21\,B\,c^3\,d^5-15\,A\,c^3\,d^4\,e\right)}{e^8}+\frac{B\,c^3\,x^5}{5\,e^3}","Not used",1,"x*((A*b^3)/e^3 - (3*d*((B*b^3 + 3*A*b^2*c)/e^3 + (3*d*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*b*c*(A*c + B*b))/e^3 + (3*B*c^3*d^2)/e^5))/e - (3*d^2*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e^2 - (B*c^3*d^3)/e^6))/e - (d^3*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e^3 + (3*d^2*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*b*c*(A*c + B*b))/e^3 + (3*B*c^3*d^2)/e^5))/e^2) + x^4*((A*c^3 + 3*B*b*c^2)/(4*e^3) - (3*B*c^3*d)/(4*e^4)) - (x*(7*B*c^3*d^6 - 6*A*c^3*d^5*e + 3*A*b^3*d^2*e^4 - 4*B*b^3*d^3*e^3 + 15*A*b*c^2*d^4*e^2 - 12*A*b^2*c*d^3*e^3 + 15*B*b^2*c*d^4*e^2 - 18*B*b*c^2*d^5*e) + (13*B*c^3*d^7 - 11*A*c^3*d^6*e + 5*A*b^3*d^3*e^4 - 7*B*b^3*d^4*e^3 + 27*A*b*c^2*d^5*e^2 - 21*A*b^2*c*d^4*e^3 + 27*B*b^2*c*d^5*e^2 - 33*B*b*c^2*d^6*e)/(2*e))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) + x^2*((B*b^3 + 3*A*b^2*c)/(2*e^3) + (3*d*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*b*c*(A*c + B*b))/e^3 + (3*B*c^3*d^2)/e^5))/(2*e) - (3*d^2*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/(2*e^2) - (B*c^3*d^3)/(2*e^6)) - x^3*((d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (b*c*(A*c + B*b))/e^3 + (B*c^3*d^2)/e^5) - (log(d + e*x)*(21*B*c^3*d^5 + 3*A*b^3*d*e^4 - 15*A*c^3*d^4*e - 6*B*b^3*d^2*e^3 + 30*A*b*c^2*d^3*e^2 - 18*A*b^2*c*d^2*e^3 + 30*B*b^2*c*d^3*e^2 - 45*B*b*c^2*d^4*e))/e^8 + (B*c^3*x^5)/(5*e^3)","B"
1136,1,676,422,0.202402,"\text{Not used}","int(((b*x + c*x^2)^3*(A + B*x))/(d + e*x)^4,x)","\frac{x\,\left(-10\,B\,b^3\,d^3\,e^3+\frac{9\,A\,b^3\,d^2\,e^4}{2}+\frac{105\,B\,b^2\,c\,d^4\,e^2}{2}-30\,A\,b^2\,c\,d^3\,e^3-81\,B\,b\,c^2\,d^5\,e+\frac{105\,A\,b\,c^2\,d^4\,e^2}{2}+\frac{77\,B\,c^3\,d^6}{2}-27\,A\,c^3\,d^5\,e\right)+x^2\,\left(-6\,B\,b^3\,d^2\,e^4+3\,A\,b^3\,d\,e^5+30\,B\,b^2\,c\,d^3\,e^3-18\,A\,b^2\,c\,d^2\,e^4-45\,B\,b\,c^2\,d^4\,e^2+30\,A\,b\,c^2\,d^3\,e^3+21\,B\,c^3\,d^5\,e-15\,A\,c^3\,d^4\,e^2\right)+\frac{-26\,B\,b^3\,d^4\,e^3+11\,A\,b^3\,d^3\,e^4+141\,B\,b^2\,c\,d^5\,e^2-78\,A\,b^2\,c\,d^4\,e^3-222\,B\,b\,c^2\,d^6\,e+141\,A\,b\,c^2\,d^5\,e^2+107\,B\,c^3\,d^7-74\,A\,c^3\,d^6\,e}{6\,e}}{d^3\,e^7+3\,d^2\,e^8\,x+3\,d\,e^9\,x^2+e^{10}\,x^3}+x\,\left(\frac{B\,b^3+3\,A\,c\,b^2}{e^4}+\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{e^4}+\frac{6\,B\,c^3\,d^2}{e^6}\right)}{e}-\frac{6\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e^2}-\frac{4\,B\,c^3\,d^3}{e^7}\right)+x^3\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{3\,e^4}-\frac{4\,B\,c^3\,d}{3\,e^5}\right)-x^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,b\,c\,\left(A\,c+B\,b\right)}{2\,e^4}+\frac{3\,B\,c^3\,d^2}{e^6}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-4\,B\,b^3\,d\,e^3+A\,b^3\,e^4+30\,B\,b^2\,c\,d^2\,e^2-12\,A\,b^2\,c\,d\,e^3-60\,B\,b\,c^2\,d^3\,e+30\,A\,b\,c^2\,d^2\,e^2+35\,B\,c^3\,d^4-20\,A\,c^3\,d^3\,e\right)}{e^8}+\frac{B\,c^3\,x^4}{4\,e^4}","Not used",1,"(x*((77*B*c^3*d^6)/2 - 27*A*c^3*d^5*e + (9*A*b^3*d^2*e^4)/2 - 10*B*b^3*d^3*e^3 + (105*A*b*c^2*d^4*e^2)/2 - 30*A*b^2*c*d^3*e^3 + (105*B*b^2*c*d^4*e^2)/2 - 81*B*b*c^2*d^5*e) + x^2*(3*A*b^3*d*e^5 + 21*B*c^3*d^5*e - 15*A*c^3*d^4*e^2 - 6*B*b^3*d^2*e^4 + 30*A*b*c^2*d^3*e^3 - 18*A*b^2*c*d^2*e^4 - 45*B*b*c^2*d^4*e^2 + 30*B*b^2*c*d^3*e^3) + (107*B*c^3*d^7 - 74*A*c^3*d^6*e + 11*A*b^3*d^3*e^4 - 26*B*b^3*d^4*e^3 + 141*A*b*c^2*d^5*e^2 - 78*A*b^2*c*d^4*e^3 + 141*B*b^2*c*d^5*e^2 - 222*B*b*c^2*d^6*e)/(6*e))/(d^3*e^7 + e^10*x^3 + 3*d^2*e^8*x + 3*d*e^9*x^2) + x*((B*b^3 + 3*A*b^2*c)/e^4 + (4*d*((4*d*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e - (3*b*c*(A*c + B*b))/e^4 + (6*B*c^3*d^2)/e^6))/e - (6*d^2*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e^2 - (4*B*c^3*d^3)/e^7) + x^3*((A*c^3 + 3*B*b*c^2)/(3*e^4) - (4*B*c^3*d)/(3*e^5)) - x^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e - (3*b*c*(A*c + B*b))/(2*e^4) + (3*B*c^3*d^2)/e^6) + (log(d + e*x)*(A*b^3*e^4 + 35*B*c^3*d^4 - 20*A*c^3*d^3*e - 4*B*b^3*d*e^3 + 30*A*b*c^2*d^2*e^2 + 30*B*b^2*c*d^2*e^2 - 12*A*b^2*c*d*e^3 - 60*B*b*c^2*d^3*e))/e^8 + (B*c^3*x^4)/(4*e^4)","B"
1137,1,322,207,1.674645,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(b*x + c*x^2),x)","x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{c}-\frac{B\,b\,e^4}{c^2}\right)}{c}-\frac{2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{c}\right)}{c}+\frac{2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{c}\right)-x^2\,\left(\frac{b\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{c}-\frac{B\,b\,e^4}{c^2}\right)}{2\,c}-\frac{d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{c}\right)+x^3\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{3\,c}-\frac{B\,b\,e^4}{3\,c^2}\right)-\ln\left(b+c\,x\right)\,\left(\frac{A\,d^4}{b}-\frac{c^4\,\left(B\,b\,d^4+4\,A\,b\,e\,d^3\right)-c\,\left(A\,b^4\,e^4+4\,B\,d\,b^4\,e^3\right)-c^3\,\left(4\,B\,b^2\,d^3\,e+6\,A\,b^2\,d^2\,e^2\right)+c^2\,\left(6\,B\,b^3\,d^2\,e^2+4\,A\,b^3\,d\,e^3\right)+B\,b^5\,e^4}{b\,c^5}\right)+\frac{A\,d^4\,\ln\left(x\right)}{b}+\frac{B\,e^4\,x^4}{4\,c}","Not used",1,"x*((b*((b*((A*e^4 + 4*B*d*e^3)/c - (B*b*e^4)/c^2))/c - (2*d*e^2*(2*A*e + 3*B*d))/c))/c + (2*d^2*e*(3*A*e + 2*B*d))/c) - x^2*((b*((A*e^4 + 4*B*d*e^3)/c - (B*b*e^4)/c^2))/(2*c) - (d*e^2*(2*A*e + 3*B*d))/c) + x^3*((A*e^4 + 4*B*d*e^3)/(3*c) - (B*b*e^4)/(3*c^2)) - log(b + c*x)*((A*d^4)/b - (c^4*(B*b*d^4 + 4*A*b*d^3*e) - c*(A*b^4*e^4 + 4*B*b^4*d*e^3) - c^3*(4*B*b^2*d^3*e + 6*A*b^2*d^2*e^2) + c^2*(4*A*b^3*d*e^3 + 6*B*b^3*d^2*e^2) + B*b^5*e^4)/(b*c^5)) + (A*d^4*log(x))/b + (B*e^4*x^4)/(4*c)","B"
1138,1,208,128,1.581679,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2),x)","x^2\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{2\,c}-\frac{B\,b\,e^3}{2\,c^2}\right)-x\,\left(\frac{b\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{c}-\frac{B\,b\,e^3}{c^2}\right)}{c}-\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{c}\right)-\ln\left(b+c\,x\right)\,\left(\frac{A\,d^3}{b}-\frac{c^3\,\left(B\,b\,d^3+3\,A\,b\,e\,d^2\right)-c^2\,\left(3\,B\,b^2\,d^2\,e+3\,A\,b^2\,d\,e^2\right)+c\,\left(A\,b^3\,e^3+3\,B\,d\,b^3\,e^2\right)-B\,b^4\,e^3}{b\,c^4}\right)+\frac{A\,d^3\,\ln\left(x\right)}{b}+\frac{B\,e^3\,x^3}{3\,c}","Not used",1,"x^2*((A*e^3 + 3*B*d*e^2)/(2*c) - (B*b*e^3)/(2*c^2)) - x*((b*((A*e^3 + 3*B*d*e^2)/c - (B*b*e^3)/c^2))/c - (3*d*e*(A*e + B*d))/c) - log(b + c*x)*((A*d^3)/b - (c^3*(B*b*d^3 + 3*A*b*d^2*e) - c^2*(3*A*b^2*d*e^2 + 3*B*b^2*d^2*e) + c*(A*b^3*e^3 + 3*B*b^3*d*e^2) - B*b^4*e^3)/(b*c^4)) + (A*d^3*log(x))/b + (B*e^3*x^3)/(3*c)","B"
1139,1,122,77,0.193347,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2),x)","x\,\left(\frac{A\,e^2+2\,B\,d\,e}{c}-\frac{B\,b\,e^2}{c^2}\right)-\ln\left(b+c\,x\right)\,\left(\frac{A\,d^2}{b}-\frac{c^2\,\left(B\,b\,d^2+2\,A\,b\,e\,d\right)-c\,\left(A\,b^2\,e^2+2\,B\,d\,b^2\,e\right)+B\,b^3\,e^2}{b\,c^3}\right)+\frac{A\,d^2\,\ln\left(x\right)}{b}+\frac{B\,e^2\,x^2}{2\,c}","Not used",1,"x*((A*e^2 + 2*B*d*e)/c - (B*b*e^2)/c^2) - log(b + c*x)*((A*d^2)/b - (c^2*(B*b*d^2 + 2*A*b*d*e) - c*(A*b^2*e^2 + 2*B*b^2*d*e) + B*b^3*e^2)/(b*c^3)) + (A*d^2*log(x))/b + (B*e^2*x^2)/(2*c)","B"
1140,1,58,45,0.177019,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2),x)","\frac{B\,e\,x}{c}-\ln\left(b+c\,x\right)\,\left(\frac{A\,d}{b}-\frac{c\,\left(A\,b\,e+B\,b\,d\right)-B\,b^2\,e}{b\,c^2}\right)+\frac{A\,d\,\ln\left(x\right)}{b}","Not used",1,"(B*e*x)/c - log(b + c*x)*((A*d)/b - (c*(A*b*e + B*b*d) - B*b^2*e)/(b*c^2)) + (A*d*log(x))/b","B"
1141,1,28,29,1.400168,"\text{Not used}","int((A + B*x)/(b*x + c*x^2),x)","\frac{A\,\ln\left(x\right)}{b}-\ln\left(b+c\,x\right)\,\left(\frac{A}{b}-\frac{B}{c}\right)","Not used",1,"(A*log(x))/b - log(b + c*x)*(A/b - B/c)","B"
1142,1,67,68,1.670999,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)),x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,e-B\,d\right)}{c\,d^2-b\,d\,e}+\frac{\ln\left(b+c\,x\right)\,\left(A\,c-B\,b\right)}{b^2\,e-b\,c\,d}+\frac{A\,\ln\left(x\right)}{b\,d}","Not used",1,"(log(d + e*x)*(A*e - B*d))/(c*d^2 - b*d*e) + (log(b + c*x)*(A*c - B*b))/(b^2*e - b*c*d) + (A*log(x))/(b*d)","B"
1143,1,141,110,1.808600,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^2),x)","\frac{A\,\ln\left(x\right)}{b\,d^2}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(B\,d^2-2\,A\,d\,e\right)+A\,b\,e^2\right)}{b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{\ln\left(b+c\,x\right)\,\left(A\,c^2-B\,b\,c\right)}{b^3\,e^2-2\,b^2\,c\,d\,e+b\,c^2\,d^2}+\frac{A\,e-B\,d}{d\,\left(b\,e-c\,d\right)\,\left(d+e\,x\right)}","Not used",1,"(A*log(x))/(b*d^2) - (log(d + e*x)*(c*(B*d^2 - 2*A*d*e) + A*b*e^2))/(c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e) - (log(b + c*x)*(A*c^2 - B*b*c))/(b^3*e^2 + b*c^2*d^2 - 2*b^2*c*d*e) + (A*e - B*d)/(d*(b*e - c*d)*(d + e*x))","B"
1144,1,284,171,1.964784,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^3),x)","\frac{\frac{3\,A\,b\,e^2+3\,B\,c\,d^2-5\,A\,c\,d\,e-B\,b\,d\,e}{2\,d\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}+\frac{x\,\left(B\,c\,d^2\,e-2\,A\,c\,d\,e^2+A\,b\,e^3\right)}{d^2\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}}{d^2+2\,d\,e\,x+e^2\,x^2}-\frac{\ln\left(d+e\,x\right)\,\left(c^2\,\left(B\,d^3-3\,A\,d^2\,e\right)-A\,b^2\,e^3+3\,A\,b\,c\,d\,e^2\right)}{-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}+\frac{\ln\left(b+c\,x\right)\,\left(A\,c^3-B\,b\,c^2\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+\frac{A\,\ln\left(x\right)}{b\,d^3}","Not used",1,"((3*A*b*e^2 + 3*B*c*d^2 - 5*A*c*d*e - B*b*d*e)/(2*d*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)) + (x*(A*b*e^3 - 2*A*c*d*e^2 + B*c*d^2*e))/(d^2*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)))/(d^2 + e^2*x^2 + 2*d*e*x) - (log(d + e*x)*(c^2*(B*d^3 - 3*A*d^2*e) - A*b^2*e^3 + 3*A*b*c*d*e^2))/(c^3*d^6 - b^3*d^3*e^3 + 3*b^2*c*d^4*e^2 - 3*b*c^2*d^5*e) + (log(b + c*x)*(A*c^3 - B*b*c^2))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) + (A*log(x))/(b*d^3)","B"
1145,1,471,245,2.248266,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^4),x)","\frac{\frac{-2\,B\,b^2\,d\,e^2+11\,A\,b^2\,e^3+7\,B\,b\,c\,d^2\,e-31\,A\,b\,c\,d\,e^2-11\,B\,c^2\,d^3+26\,A\,c^2\,d^2\,e}{6\,d\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}+\frac{x^2\,\left(A\,b^2\,e^5-3\,A\,b\,c\,d\,e^4-B\,c^2\,d^3\,e^2+3\,A\,c^2\,d^2\,e^3\right)}{d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}+\frac{x\,\left(5\,A\,b^2\,e^4+B\,b\,c\,d^2\,e^2-15\,A\,b\,c\,d\,e^3-5\,B\,c^2\,d^3\,e+14\,A\,c^2\,d^2\,e^2\right)}{2\,d^2\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}-\frac{\ln\left(b+c\,x\right)\,\left(A\,c^4-B\,b\,c^3\right)}{b^5\,e^4-4\,b^4\,c\,d\,e^3+6\,b^3\,c^2\,d^2\,e^2-4\,b^2\,c^3\,d^3\,e+b\,c^4\,d^4}+\frac{A\,\ln\left(x\right)}{b\,d^4}-\frac{\ln\left(d+e\,x\right)\,\left(A\,b^3\,e^4-4\,A\,b^2\,c\,d\,e^3+6\,A\,b\,c^2\,d^2\,e^2+B\,c^3\,d^4-4\,A\,c^3\,d^3\,e\right)}{d^4\,{\left(b\,e-c\,d\right)}^4}","Not used",1,"((11*A*b^2*e^3 - 11*B*c^2*d^3 + 26*A*c^2*d^2*e - 2*B*b^2*d*e^2 - 31*A*b*c*d*e^2 + 7*B*b*c*d^2*e)/(6*d*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) + (x^2*(A*b^2*e^5 + 3*A*c^2*d^2*e^3 - B*c^2*d^3*e^2 - 3*A*b*c*d*e^4))/(d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) + (x*(5*A*b^2*e^4 - 5*B*c^2*d^3*e + 14*A*c^2*d^2*e^2 - 15*A*b*c*d*e^3 + B*b*c*d^2*e^2))/(2*d^2*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x) - (log(b + c*x)*(A*c^4 - B*b*c^3))/(b^5*e^4 + b*c^4*d^4 - 4*b^2*c^3*d^3*e + 6*b^3*c^2*d^2*e^2 - 4*b^4*c*d*e^3) + (A*log(x))/(b*d^4) - (log(d + e*x)*(A*b^3*e^4 + B*c^3*d^4 - 4*A*c^3*d^3*e + 6*A*b*c^2*d^2*e^2 - 4*A*b^2*c*d*e^3))/(d^4*(b*e - c*d)^4)","B"
1146,1,331,156,1.737276,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(b*x + c*x^2)^2,x)","\ln\left(b+c\,x\right)\,\left(\frac{c^2\,\left(6\,B\,b^3\,d^2\,e^2+4\,A\,b^3\,d\,e^3\right)-c\,\left(2\,A\,b^4\,e^4+8\,B\,d\,b^4\,e^3\right)+3\,B\,b^5\,e^4}{b^3\,c^4}-\frac{B\,b\,d^4+4\,A\,b\,e\,d^3}{b^3}+\frac{2\,A\,c\,d^4}{b^3}\right)-\frac{\frac{A\,c^3\,d^4}{b}+\frac{x\,\left(-B\,b^5\,e^4+4\,B\,b^4\,c\,d\,e^3+A\,b^4\,c\,e^4-6\,B\,b^3\,c^2\,d^2\,e^2-4\,A\,b^3\,c^2\,d\,e^3+4\,B\,b^2\,c^3\,d^3\,e+6\,A\,b^2\,c^3\,d^2\,e^2-B\,b\,c^4\,d^4-4\,A\,b\,c^4\,d^3\,e+2\,A\,c^5\,d^4\right)}{b^2\,c}}{c^4\,x^2+b\,c^3\,x}+x\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{c^2}-\frac{2\,B\,b\,e^4}{c^3}\right)+\frac{\ln\left(x\right)\,\left(b\,\left(B\,d^4+4\,A\,e\,d^3\right)-2\,A\,c\,d^4\right)}{b^3}+\frac{B\,e^4\,x^2}{2\,c^2}","Not used",1,"log(b + c*x)*((c^2*(4*A*b^3*d*e^3 + 6*B*b^3*d^2*e^2) - c*(2*A*b^4*e^4 + 8*B*b^4*d*e^3) + 3*B*b^5*e^4)/(b^3*c^4) - (B*b*d^4 + 4*A*b*d^3*e)/b^3 + (2*A*c*d^4)/b^3) - ((A*c^3*d^4)/b + (x*(2*A*c^5*d^4 - B*b^5*e^4 + A*b^4*c*e^4 - B*b*c^4*d^4 - 4*A*b^3*c^2*d*e^3 + 4*B*b^2*c^3*d^3*e + 6*A*b^2*c^3*d^2*e^2 - 6*B*b^3*c^2*d^2*e^2 - 4*A*b*c^4*d^3*e + 4*B*b^4*c*d*e^3))/(b^2*c))/(c^4*x^2 + b*c^3*x) + x*((A*e^4 + 4*B*d*e^3)/c^2 - (2*B*b*e^4)/c^3) + (log(x)*(b*(B*d^4 + 4*A*d^3*e) - 2*A*c*d^4))/b^3 + (B*e^4*x^2)/(2*c^2)","B"
1147,1,212,128,1.593981,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^2,x)","\frac{\ln\left(x\right)\,\left(b\,\left(B\,d^3+3\,A\,e\,d^2\right)-2\,A\,c\,d^3\right)}{b^3}-\frac{\frac{x\,\left(B\,b^4\,e^3-3\,B\,b^3\,c\,d\,e^2-A\,b^3\,c\,e^3+3\,B\,b^2\,c^2\,d^2\,e+3\,A\,b^2\,c^2\,d\,e^2-B\,b\,c^3\,d^3-3\,A\,b\,c^3\,d^2\,e+2\,A\,c^4\,d^3\right)}{b^2\,c}+\frac{A\,c^2\,d^3}{b}}{c^3\,x^2+b\,c^2\,x}+\frac{B\,e^3\,x}{c^2}+\frac{\ln\left(b+c\,x\right)\,{\left(b\,e-c\,d\right)}^2\,\left(2\,A\,c^2\,d-2\,B\,b^2\,e+A\,b\,c\,e-B\,b\,c\,d\right)}{b^3\,c^3}","Not used",1,"(log(x)*(b*(B*d^3 + 3*A*d^2*e) - 2*A*c*d^3))/b^3 - ((x*(2*A*c^4*d^3 + B*b^4*e^3 - A*b^3*c*e^3 - B*b*c^3*d^3 + 3*A*b^2*c^2*d*e^2 + 3*B*b^2*c^2*d^2*e - 3*A*b*c^3*d^2*e - 3*B*b^3*c*d*e^2))/(b^2*c) + (A*c^2*d^3)/b)/(c^3*x^2 + b*c^2*x) + (B*e^3*x)/c^2 + (log(b + c*x)*(b*e - c*d)^2*(2*A*c^2*d - 2*B*b^2*e + A*b*c*e - B*b*c*d))/(b^3*c^3)","B"
1148,1,154,108,0.266933,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^2,x)","\frac{\ln\left(x\right)\,\left(b\,\left(B\,d^2+2\,A\,e\,d\right)-2\,A\,c\,d^2\right)}{b^3}-\frac{\frac{A\,d^2}{b}+\frac{x\,\left(-B\,b^3\,e^2+2\,B\,b^2\,c\,d\,e+A\,b^2\,c\,e^2-B\,b\,c^2\,d^2-2\,A\,b\,c^2\,d\,e+2\,A\,c^3\,d^2\right)}{b^2\,c^2}}{c\,x^2+b\,x}+\frac{\ln\left(b+c\,x\right)\,\left(b\,e-c\,d\right)\,\left(B\,e\,b^2+B\,d\,b\,c-2\,A\,d\,c^2\right)}{b^3\,c^2}","Not used",1,"(log(x)*(b*(B*d^2 + 2*A*d*e) - 2*A*c*d^2))/b^3 - ((A*d^2)/b + (x*(2*A*c^3*d^2 - B*b^3*e^2 + A*b^2*c*e^2 - B*b*c^2*d^2 - 2*A*b*c^2*d*e + 2*B*b^2*c*d*e))/(b^2*c^2))/(b*x + c*x^2) + (log(b + c*x)*(b*e - c*d)*(B*b^2*e - 2*A*c^2*d + B*b*c*d))/(b^3*c^2)","B"
1149,1,117,86,1.438166,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^2,x)","-\frac{\frac{A\,d}{b}+\frac{x\,\left(2\,A\,c^2\,d+B\,b^2\,e-A\,b\,c\,e-B\,b\,c\,d\right)}{b^2\,c}}{c\,x^2+b\,x}-\frac{2\,\mathrm{atanh}\left(\frac{\left(b\,\left(A\,e+B\,d\right)-2\,A\,c\,d\right)\,\left(b+2\,c\,x\right)}{b\,\left(A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}\right)\,\left(b\,\left(A\,e+B\,d\right)-2\,A\,c\,d\right)}{b^3}","Not used",1,"- ((A*d)/b + (x*(2*A*c^2*d + B*b^2*e - A*b*c*e - B*b*c*d))/(b^2*c))/(b*x + c*x^2) - (2*atanh(((b*(A*e + B*d) - 2*A*c*d)*(b + 2*c*x))/(b*(A*b*e - 2*A*c*d + B*b*d)))*(b*(A*e + B*d) - 2*A*c*d))/b^3","B"
1150,1,58,62,1.416183,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^2,x)","\frac{2\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)\,\left(2\,A\,c-B\,b\right)}{b^3}-\frac{\frac{A}{b}+\frac{x\,\left(2\,A\,c-B\,b\right)}{b^2}}{c\,x^2+b\,x}","Not used",1,"(2*atanh((2*c*x)/b + 1)*(2*A*c - B*b))/b^3 - (A/b + (x*(2*A*c - B*b))/b^2)/(b*x + c*x^2)","B"
1151,1,201,147,2.043551,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)),x)","\frac{\ln\left(b+c\,x\right)\,\left(d\,\left(2\,A\,c^3-B\,b\,c^2\right)-3\,A\,b\,c^2\,e+2\,B\,b^2\,c\,e\right)}{b^5\,e^2-2\,b^4\,c\,d\,e+b^3\,c^2\,d^2}-\frac{\frac{A}{b\,d}+\frac{x\,\left(A\,b\,c\,e-2\,A\,c^2\,d+B\,b\,c\,d\right)}{b^2\,d\,\left(b\,e-c\,d\right)}}{c\,x^2+b\,x}+\frac{\ln\left(d+e\,x\right)\,\left(A\,e^3-B\,d\,e^2\right)}{b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{\ln\left(x\right)\,\left(b\,\left(A\,e-B\,d\right)+2\,A\,c\,d\right)}{b^3\,d^2}","Not used",1,"(log(b + c*x)*(d*(2*A*c^3 - B*b*c^2) - 3*A*b*c^2*e + 2*B*b^2*c*e))/(b^5*e^2 + b^3*c^2*d^2 - 2*b^4*c*d*e) - (A/(b*d) + (x*(A*b*c*e - 2*A*c^2*d + B*b*c*d))/(b^2*d*(b*e - c*d)))/(b*x + c*x^2) + (log(d + e*x)*(A*e^3 - B*d*e^2))/(c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e) - (log(x)*(b*(A*e - B*d) + 2*A*c*d))/(b^3*d^2)","B"
1152,1,410,201,2.405453,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^2),x)","\frac{\frac{x\,\left(B\,b^3\,d\,e^2-2\,A\,b^3\,e^3+A\,b^2\,c\,d\,e^2+B\,b\,c^2\,d^3+A\,b\,c^2\,d^2\,e-2\,A\,c^3\,d^3\right)}{b^2\,d^2\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}-\frac{A}{b\,d}+\frac{x^2\,\left(B\,b^2\,c\,d\,e^2-2\,A\,b^2\,c\,e^3+B\,b\,c^2\,d^2\,e+2\,A\,b\,c^2\,d\,e^2-2\,A\,c^3\,d^2\,e\right)}{b^2\,d^2\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}}{c\,e\,x^3+\left(b\,e+c\,d\right)\,x^2+b\,d\,x}-\frac{\ln\left(b+c\,x\right)\,\left(e\,\left(3\,B\,b^2\,c^2-4\,A\,b\,c^3\right)+d\,\left(2\,A\,c^4-B\,b\,c^3\right)\right)}{b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(3\,B\,d^2\,e^2-4\,A\,d\,e^3\right)+b\,\left(2\,A\,e^4-B\,d\,e^3\right)\right)}{-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}-\frac{\ln\left(x\right)\,\left(d\,\left(2\,A\,c-B\,b\right)+2\,A\,b\,e\right)}{b^3\,d^3}","Not used",1,"((x*(B*b*c^2*d^3 - 2*A*c^3*d^3 - 2*A*b^3*e^3 + B*b^3*d*e^2 + A*b*c^2*d^2*e + A*b^2*c*d*e^2))/(b^2*d^2*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)) - A/(b*d) + (x^2*(2*A*b*c^2*d*e^2 - 2*A*c^3*d^2*e - 2*A*b^2*c*e^3 + B*b*c^2*d^2*e + B*b^2*c*d*e^2))/(b^2*d^2*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)))/(x^2*(b*e + c*d) + b*d*x + c*e*x^3) - (log(b + c*x)*(e*(3*B*b^2*c^2 - 4*A*b*c^3) + d*(2*A*c^4 - B*b*c^3)))/(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2) - (log(d + e*x)*(c*(3*B*d^2*e^2 - 4*A*d*e^3) + b*(2*A*e^4 - B*d*e^3)))/(c^3*d^6 - b^3*d^3*e^3 + 3*b^2*c*d^4*e^2 - 3*b*c^2*d^5*e) - (log(x)*(d*(2*A*c - B*b) + 2*A*b*e))/(b^3*d^3)","B"
1153,1,726,283,2.936896,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^3),x)","\frac{\ln\left(d+e\,x\right)\,\left(\left(3\,A\,e^5-B\,d\,e^4\right)\,b^2+\left(4\,B\,d^2\,e^3-10\,A\,d\,e^4\right)\,b\,c+\left(10\,A\,d^2\,e^3-6\,B\,d^3\,e^2\right)\,c^2\right)}{b^4\,d^4\,e^4-4\,b^3\,c\,d^5\,e^3+6\,b^2\,c^2\,d^6\,e^2-4\,b\,c^3\,d^7\,e+c^4\,d^8}-\frac{\frac{A}{b\,d}+\frac{x^2\,\left(-2\,B\,b^4\,d\,e^4+6\,A\,b^4\,e^5+3\,B\,b^3\,c\,d^2\,e^3-5\,A\,b^3\,c\,d\,e^4+7\,B\,b^2\,c^2\,d^3\,e^2-15\,A\,b^2\,c^2\,d^2\,e^3+4\,B\,b\,c^3\,d^4\,e+10\,A\,b\,c^3\,d^3\,e^2-8\,A\,c^4\,d^4\,e\right)}{2\,b^2\,d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}+\frac{x\,\left(-3\,B\,b^4\,d\,e^3+9\,A\,b^4\,e^4+7\,B\,b^3\,c\,d^2\,e^2-19\,A\,b^3\,c\,d\,e^3+6\,A\,b^2\,c^2\,d^2\,e^2+2\,B\,b\,c^3\,d^4+2\,A\,b\,c^3\,d^3\,e-4\,A\,c^4\,d^4\right)}{2\,b^2\,d^2\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}+\frac{c\,e^2\,x^3\,\left(-B\,b^3\,d\,e^2+3\,A\,b^3\,e^3+3\,B\,b^2\,c\,d^2\,e-7\,A\,b^2\,c\,d\,e^2+B\,b\,c^2\,d^3+3\,A\,b\,c^2\,d^2\,e-2\,A\,c^3\,d^3\right)}{b^2\,d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}}{x^2\,\left(c\,d^2+2\,b\,e\,d\right)+x^3\,\left(b\,e^2+2\,c\,d\,e\right)+c\,e^2\,x^4+b\,d^2\,x}+\frac{\ln\left(b+c\,x\right)\,\left(e\,\left(4\,B\,b^2\,c^3-5\,A\,b\,c^4\right)+d\,\left(2\,A\,c^5-B\,b\,c^4\right)\right)}{b^7\,e^4-4\,b^6\,c\,d\,e^3+6\,b^5\,c^2\,d^2\,e^2-4\,b^4\,c^3\,d^3\,e+b^3\,c^4\,d^4}-\frac{\ln\left(x\right)\,\left(d\,\left(2\,A\,c-B\,b\right)+3\,A\,b\,e\right)}{b^3\,d^4}","Not used",1,"(log(d + e*x)*(b^2*(3*A*e^5 - B*d*e^4) + c^2*(10*A*d^2*e^3 - 6*B*d^3*e^2) + b*c*(4*B*d^2*e^3 - 10*A*d*e^4)))/(c^4*d^8 + b^4*d^4*e^4 - 4*b^3*c*d^5*e^3 + 6*b^2*c^2*d^6*e^2 - 4*b*c^3*d^7*e) - (A/(b*d) + (x^2*(6*A*b^4*e^5 - 8*A*c^4*d^4*e - 2*B*b^4*d*e^4 + 10*A*b*c^3*d^3*e^2 + 3*B*b^3*c*d^2*e^3 - 15*A*b^2*c^2*d^2*e^3 + 7*B*b^2*c^2*d^3*e^2 - 5*A*b^3*c*d*e^4 + 4*B*b*c^3*d^4*e))/(2*b^2*d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) + (x*(9*A*b^4*e^4 - 4*A*c^4*d^4 + 2*B*b*c^3*d^4 - 3*B*b^4*d*e^3 + 7*B*b^3*c*d^2*e^2 + 6*A*b^2*c^2*d^2*e^2 + 2*A*b*c^3*d^3*e - 19*A*b^3*c*d*e^3))/(2*b^2*d^2*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) + (c*e^2*x^3*(3*A*b^3*e^3 - 2*A*c^3*d^3 + B*b*c^2*d^3 - B*b^3*d*e^2 + 3*A*b*c^2*d^2*e - 7*A*b^2*c*d*e^2 + 3*B*b^2*c*d^2*e))/(b^2*d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)))/(x^2*(c*d^2 + 2*b*d*e) + x^3*(b*e^2 + 2*c*d*e) + c*e^2*x^4 + b*d^2*x) + (log(b + c*x)*(e*(4*B*b^2*c^3 - 5*A*b*c^4) + d*(2*A*c^5 - B*b*c^4)))/(b^7*e^4 + b^3*c^4*d^4 - 4*b^4*c^3*d^3*e + 6*b^5*c^2*d^2*e^2 - 4*b^6*c*d*e^3) - (log(x)*(d*(2*A*c - B*b) + 3*A*b*e))/(b^3*d^4)","B"
1154,1,498,257,1.834842,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(b*x + c*x^2)^3,x)","\frac{\ln\left(x\right)\,\left(b^2\,\left(5\,B\,d^4\,e+10\,A\,d^3\,e^2\right)-b\,\left(3\,B\,c\,d^5+15\,A\,c\,e\,d^4\right)+6\,A\,c^2\,d^5\right)}{b^5}-\frac{\frac{x^2\,\left(5\,B\,b^6\,e^5-15\,B\,b^5\,c\,d\,e^4-3\,A\,b^5\,c\,e^5+10\,B\,b^4\,c^2\,d^2\,e^3+5\,A\,b^4\,c^2\,d\,e^4+10\,B\,b^3\,c^3\,d^3\,e^2+10\,A\,b^3\,c^3\,d^2\,e^3-15\,B\,b^2\,c^4\,d^4\,e-30\,A\,b^2\,c^4\,d^3\,e^2+9\,B\,b\,c^5\,d^5+45\,A\,b\,c^5\,d^4\,e-18\,A\,c^6\,d^5\right)}{2\,b^3\,c}-\frac{x^3\,\left(-3\,B\,b^6\,e^5+10\,B\,b^5\,c\,d\,e^4+2\,A\,b^5\,c\,e^5-10\,B\,b^4\,c^2\,d^2\,e^3-5\,A\,b^4\,c^2\,d\,e^4+5\,B\,b^2\,c^4\,d^4\,e+10\,A\,b^2\,c^4\,d^3\,e^2-3\,B\,b\,c^5\,d^5-15\,A\,b\,c^5\,d^4\,e+6\,A\,c^6\,d^5\right)}{b^4}+\frac{A\,c^3\,d^5}{2\,b}+\frac{c^3\,d^4\,x\,\left(5\,A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^2}}{b^2\,c^3\,x^2+2\,b\,c^4\,x^3+c^5\,x^4}+\frac{B\,e^5\,x}{c^3}+\frac{\ln\left(b+c\,x\right)\,{\left(b\,e-c\,d\right)}^3\,\left(-3\,B\,b^3\,e^2-4\,B\,b^2\,c\,d\,e+A\,b^2\,c\,e^2-3\,B\,b\,c^2\,d^2+3\,A\,b\,c^2\,d\,e+6\,A\,c^3\,d^2\right)}{b^5\,c^4}","Not used",1,"(log(x)*(b^2*(10*A*d^3*e^2 + 5*B*d^4*e) - b*(3*B*c*d^5 + 15*A*c*d^4*e) + 6*A*c^2*d^5))/b^5 - ((x^2*(5*B*b^6*e^5 - 18*A*c^6*d^5 - 3*A*b^5*c*e^5 + 9*B*b*c^5*d^5 + 5*A*b^4*c^2*d*e^4 - 15*B*b^2*c^4*d^4*e - 30*A*b^2*c^4*d^3*e^2 + 10*A*b^3*c^3*d^2*e^3 + 10*B*b^3*c^3*d^3*e^2 + 10*B*b^4*c^2*d^2*e^3 + 45*A*b*c^5*d^4*e - 15*B*b^5*c*d*e^4))/(2*b^3*c) - (x^3*(6*A*c^6*d^5 - 3*B*b^6*e^5 + 2*A*b^5*c*e^5 - 3*B*b*c^5*d^5 - 5*A*b^4*c^2*d*e^4 + 5*B*b^2*c^4*d^4*e + 10*A*b^2*c^4*d^3*e^2 - 10*B*b^4*c^2*d^2*e^3 - 15*A*b*c^5*d^4*e + 10*B*b^5*c*d*e^4))/b^4 + (A*c^3*d^5)/(2*b) + (c^3*d^4*x*(5*A*b*e - 2*A*c*d + B*b*d))/b^2)/(c^5*x^4 + 2*b*c^4*x^3 + b^2*c^3*x^2) + (B*e^5*x)/c^3 + (log(b + c*x)*(b*e - c*d)^3*(6*A*c^3*d^2 - 3*B*b^3*e^2 + A*b^2*c*e^2 - 3*B*b*c^2*d^2 + 3*A*b*c^2*d*e - 4*B*b^2*c*d*e))/(b^5*c^4)","B"
1155,1,403,235,1.802536,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(b*x + c*x^2)^3,x)","\frac{\ln\left(x\right)\,\left(b^2\,\left(4\,B\,d^3\,e+6\,A\,d^2\,e^2\right)-b\,\left(3\,B\,c\,d^4+12\,A\,c\,e\,d^3\right)+6\,A\,c^2\,d^4\right)}{b^5}-\frac{\frac{A\,d^4}{2\,b}+\frac{x^2\,\left(-3\,B\,b^5\,e^4+4\,B\,b^4\,c\,d\,e^3+A\,b^4\,c\,e^4+6\,B\,b^3\,c^2\,d^2\,e^2+4\,A\,b^3\,c^2\,d\,e^3-12\,B\,b^2\,c^3\,d^3\,e-18\,A\,b^2\,c^3\,d^2\,e^2+9\,B\,b\,c^4\,d^4+36\,A\,b\,c^4\,d^3\,e-18\,A\,c^5\,d^4\right)}{2\,b^3\,c^3}-\frac{x^3\,\left(2\,B\,b^5\,e^4-4\,B\,b^4\,c\,d\,e^3-A\,b^4\,c\,e^4+4\,B\,b^2\,c^3\,d^3\,e+6\,A\,b^2\,c^3\,d^2\,e^2-3\,B\,b\,c^4\,d^4-12\,A\,b\,c^4\,d^3\,e+6\,A\,c^5\,d^4\right)}{b^4\,c^2}+\frac{d^3\,x\,\left(4\,A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^2}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}+\frac{\ln\left(b+c\,x\right)\,{\left(b\,e-c\,d\right)}^2\,\left(B\,b^3\,e^2+2\,B\,b^2\,c\,d\,e+3\,B\,b\,c^2\,d^2-6\,A\,c^3\,d^2\right)}{b^5\,c^3}","Not used",1,"(log(x)*(b^2*(6*A*d^2*e^2 + 4*B*d^3*e) - b*(3*B*c*d^4 + 12*A*c*d^3*e) + 6*A*c^2*d^4))/b^5 - ((A*d^4)/(2*b) + (x^2*(A*b^4*c*e^4 - 3*B*b^5*e^4 - 18*A*c^5*d^4 + 9*B*b*c^4*d^4 + 4*A*b^3*c^2*d*e^3 - 12*B*b^2*c^3*d^3*e - 18*A*b^2*c^3*d^2*e^2 + 6*B*b^3*c^2*d^2*e^2 + 36*A*b*c^4*d^3*e + 4*B*b^4*c*d*e^3))/(2*b^3*c^3) - (x^3*(6*A*c^5*d^4 + 2*B*b^5*e^4 - A*b^4*c*e^4 - 3*B*b*c^4*d^4 + 4*B*b^2*c^3*d^3*e + 6*A*b^2*c^3*d^2*e^2 - 12*A*b*c^4*d^3*e - 4*B*b^4*c*d*e^3))/(b^4*c^2) + (d^3*x*(4*A*b*e - 2*A*c*d + B*b*d))/b^2)/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) + (log(b + c*x)*(b*e - c*d)^2*(B*b^3*e^2 - 6*A*c^3*d^2 + 3*B*b*c^2*d^2 + 2*B*b^2*c*d*e))/(b^5*c^3)","B"
1156,1,345,185,1.617205,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^3,x)","-\frac{\frac{A\,d^3}{2\,b}-\frac{x^3\,\left(-B\,b^4\,e^3+3\,B\,b^2\,c^2\,d^2\,e+3\,A\,b^2\,c^2\,d\,e^2-3\,B\,b\,c^3\,d^3-9\,A\,b\,c^3\,d^2\,e+6\,A\,c^4\,d^3\right)}{b^4\,c}+\frac{x^2\,\left(B\,b^4\,e^3+3\,B\,b^3\,c\,d\,e^2+A\,b^3\,c\,e^3-9\,B\,b^2\,c^2\,d^2\,e-9\,A\,b^2\,c^2\,d\,e^2+9\,B\,b\,c^3\,d^3+27\,A\,b\,c^3\,d^2\,e-18\,A\,c^4\,d^3\right)}{2\,b^3\,c^2}+\frac{d^2\,x\,\left(3\,A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^2}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}-\frac{6\,d\,\mathrm{atanh}\left(\frac{3\,d\,\left(b\,e-c\,d\right)\,\left(b+2\,c\,x\right)\,\left(A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b\,\left(3\,B\,b^2\,d^2\,e+3\,A\,b^2\,d\,e^2-3\,B\,b\,c\,d^3-9\,A\,b\,c\,d^2\,e+6\,A\,c^2\,d^3\right)}\right)\,\left(b\,e-c\,d\right)\,\left(A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^5}","Not used",1,"- ((A*d^3)/(2*b) - (x^3*(6*A*c^4*d^3 - B*b^4*e^3 - 3*B*b*c^3*d^3 + 3*A*b^2*c^2*d*e^2 + 3*B*b^2*c^2*d^2*e - 9*A*b*c^3*d^2*e))/(b^4*c) + (x^2*(B*b^4*e^3 - 18*A*c^4*d^3 + A*b^3*c*e^3 + 9*B*b*c^3*d^3 - 9*A*b^2*c^2*d*e^2 - 9*B*b^2*c^2*d^2*e + 27*A*b*c^3*d^2*e + 3*B*b^3*c*d*e^2))/(2*b^3*c^2) + (d^2*x*(3*A*b*e - 2*A*c*d + B*b*d))/b^2)/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) - (6*d*atanh((3*d*(b*e - c*d)*(b + 2*c*x)*(A*b*e - 2*A*c*d + B*b*d))/(b*(6*A*c^2*d^3 - 3*B*b*c*d^3 + 3*A*b^2*d*e^2 + 3*B*b^2*d^2*e - 9*A*b*c*d^2*e)))*(b*e - c*d)*(A*b*e - 2*A*c*d + B*b*d))/b^5","B"
1157,1,319,198,0.257369,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^3,x)","-\frac{\frac{A\,d^2}{2\,b}-\frac{c\,x^3\,\left(2\,B\,b^2\,d\,e+A\,b^2\,e^2-3\,B\,b\,c\,d^2-6\,A\,b\,c\,d\,e+6\,A\,c^2\,d^2\right)}{b^4}+\frac{d\,x\,\left(2\,A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^2}-\frac{x^2\,\left(-B\,b^3\,e^2+6\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-9\,B\,b\,c^2\,d^2-18\,A\,b\,c^2\,d\,e+18\,A\,c^3\,d^2\right)}{2\,b^3\,c}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}-\frac{2\,\mathrm{atanh}\left(\frac{\left(b+2\,c\,x\right)\,\left(b^2\,\left(A\,e^2+2\,B\,d\,e\right)-b\,\left(3\,B\,c\,d^2+6\,A\,c\,e\,d\right)+6\,A\,c^2\,d^2\right)}{b\,\left(2\,B\,b^2\,d\,e+A\,b^2\,e^2-3\,B\,b\,c\,d^2-6\,A\,b\,c\,d\,e+6\,A\,c^2\,d^2\right)}\right)\,\left(b^2\,\left(A\,e^2+2\,B\,d\,e\right)-b\,\left(3\,B\,c\,d^2+6\,A\,c\,e\,d\right)+6\,A\,c^2\,d^2\right)}{b^5}","Not used",1,"- ((A*d^2)/(2*b) - (c*x^3*(A*b^2*e^2 + 6*A*c^2*d^2 - 3*B*b*c*d^2 + 2*B*b^2*d*e - 6*A*b*c*d*e))/b^4 + (d*x*(2*A*b*e - 2*A*c*d + B*b*d))/b^2 - (x^2*(18*A*c^3*d^2 - B*b^3*e^2 + 3*A*b^2*c*e^2 - 9*B*b*c^2*d^2 - 18*A*b*c^2*d*e + 6*B*b^2*c*d*e))/(2*b^3*c))/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) - (2*atanh(((b + 2*c*x)*(b^2*(A*e^2 + 2*B*d*e) - b*(3*B*c*d^2 + 6*A*c*d*e) + 6*A*c^2*d^2))/(b*(A*b^2*e^2 + 6*A*c^2*d^2 - 3*B*b*c*d^2 + 2*B*b^2*d*e - 6*A*b*c*d*e)))*(b^2*(A*e^2 + 2*B*d*e) - b*(3*B*c*d^2 + 6*A*c*d*e) + 6*A*c^2*d^2))/b^5","B"
1158,1,223,168,1.531528,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^3,x)","-\frac{\frac{x\,\left(A\,b\,e-2\,A\,c\,d+B\,b\,d\right)}{b^2}-\frac{3\,x^2\,\left(6\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-3\,B\,b\,c\,d\right)}{2\,b^3}+\frac{A\,d}{2\,b}-\frac{c\,x^3\,\left(6\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-3\,B\,b\,c\,d\right)}{b^4}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}-\frac{2\,\mathrm{atanh}\left(\frac{\left(b+2\,c\,x\right)\,\left(6\,A\,c^2\,d-b\,\left(3\,A\,c\,e+3\,B\,c\,d\right)+B\,b^2\,e\right)}{b\,\left(6\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-3\,B\,b\,c\,d\right)}\right)\,\left(6\,A\,c^2\,d-b\,\left(3\,A\,c\,e+3\,B\,c\,d\right)+B\,b^2\,e\right)}{b^5}","Not used",1,"- ((x*(A*b*e - 2*A*c*d + B*b*d))/b^2 - (3*x^2*(6*A*c^2*d + B*b^2*e - 3*A*b*c*e - 3*B*b*c*d))/(2*b^3) + (A*d)/(2*b) - (c*x^3*(6*A*c^2*d + B*b^2*e - 3*A*b*c*e - 3*B*b*c*d))/b^4)/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) - (2*atanh(((b + 2*c*x)*(6*A*c^2*d - b*(3*A*c*e + 3*B*c*d) + B*b^2*e))/(b*(6*A*c^2*d + B*b^2*e - 3*A*b*c*e - 3*B*b*c*d)))*(6*A*c^2*d - b*(3*A*c*e + 3*B*c*d) + B*b^2*e))/b^5","B"
1159,1,136,109,0.106849,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^3,x)","\frac{\frac{x\,\left(2\,A\,c-B\,b\right)}{b^2}-\frac{A}{2\,b}+\frac{3\,c^2\,x^3\,\left(2\,A\,c-B\,b\right)}{b^4}+\frac{9\,c\,x^2\,\left(2\,A\,c-B\,b\right)}{2\,b^3}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}-\frac{6\,c\,\mathrm{atanh}\left(\frac{3\,c\,\left(2\,A\,c-B\,b\right)\,\left(b+2\,c\,x\right)}{b\,\left(6\,A\,c^2-3\,B\,b\,c\right)}\right)\,\left(2\,A\,c-B\,b\right)}{b^5}","Not used",1,"((x*(2*A*c - B*b))/b^2 - A/(2*b) + (3*c^2*x^3*(2*A*c - B*b))/b^4 + (9*c*x^2*(2*A*c - B*b))/(2*b^3))/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) - (6*c*atanh((3*c*(2*A*c - B*b)*(b + 2*c*x))/(b*(6*A*c^2 - 3*B*b*c)))*(2*A*c - B*b))/b^5","B"
1160,1,512,279,2.612567,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^3*(d + e*x)),x)","\frac{\frac{x\,\left(A\,b\,e+2\,A\,c\,d-B\,b\,d\right)}{b^2\,d^2}-\frac{A}{2\,b\,d}+\frac{x^3\,\left(-B\,b^3\,c^2\,d\,e^2+A\,b^3\,c^2\,e^3+5\,B\,b^2\,c^3\,d^2\,e+A\,b^2\,c^3\,d\,e^2-3\,B\,b\,c^4\,d^3-9\,A\,b\,c^4\,d^2\,e+6\,A\,c^5\,d^3\right)}{b^4\,d^2\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}+\frac{x^2\,\left(-4\,B\,b^3\,c\,d\,e^2+4\,A\,b^3\,c\,e^3+15\,B\,b^2\,c^2\,d^2\,e+3\,A\,b^2\,c^2\,d\,e^2-9\,B\,b\,c^3\,d^3-27\,A\,b\,c^3\,d^2\,e+18\,A\,c^4\,d^3\right)}{2\,b^3\,d^2\,\left(b^2\,e^2-2\,b\,c\,d\,e+c^2\,d^2\right)}}{b^2\,x^2+2\,b\,c\,x^3+c^2\,x^4}+\frac{\ln\left(d+e\,x\right)\,\left(A\,e^5-B\,d\,e^4\right)}{-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}+\frac{\ln\left(b+c\,x\right)\,\left(d^2\,\left(6\,A\,c^5-3\,B\,b\,c^4\right)-d\,\left(15\,A\,b\,c^4\,e-8\,B\,b^2\,c^3\,e\right)+10\,A\,b^2\,c^3\,e^2-6\,B\,b^3\,c^2\,e^2\right)}{b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3}+\frac{\ln\left(x\right)\,\left(d^2\,\left(6\,A\,c^2-3\,B\,b\,c\right)-d\,\left(B\,b^2\,e-3\,A\,b\,c\,e\right)+A\,b^2\,e^2\right)}{b^5\,d^3}","Not used",1,"((x*(A*b*e + 2*A*c*d - B*b*d))/(b^2*d^2) - A/(2*b*d) + (x^3*(6*A*c^5*d^3 - 3*B*b*c^4*d^3 + A*b^3*c^2*e^3 + A*b^2*c^3*d*e^2 + 5*B*b^2*c^3*d^2*e - B*b^3*c^2*d*e^2 - 9*A*b*c^4*d^2*e))/(b^4*d^2*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)) + (x^2*(18*A*c^4*d^3 + 4*A*b^3*c*e^3 - 9*B*b*c^3*d^3 + 3*A*b^2*c^2*d*e^2 + 15*B*b^2*c^2*d^2*e - 27*A*b*c^3*d^2*e - 4*B*b^3*c*d*e^2))/(2*b^3*d^2*(b^2*e^2 + c^2*d^2 - 2*b*c*d*e)))/(b^2*x^2 + c^2*x^4 + 2*b*c*x^3) + (log(d + e*x)*(A*e^5 - B*d*e^4))/(c^3*d^6 - b^3*d^3*e^3 + 3*b^2*c*d^4*e^2 - 3*b*c^2*d^5*e) + (log(b + c*x)*(d^2*(6*A*c^5 - 3*B*b*c^4) - d*(15*A*b*c^4*e - 8*B*b^2*c^3*e) + 10*A*b^2*c^3*e^2 - 6*B*b^3*c^2*e^2))/(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2) + (log(x)*(d^2*(6*A*c^2 - 3*B*b*c) - d*(B*b^2*e - 3*A*b*c*e) + A*b^2*e^2))/(b^5*d^3)","B"
1161,1,879,331,3.259510,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^3*(d + e*x)^2),x)","\frac{\ln\left(x\right)\,\left(b^2\,\left(3\,A\,e^2-2\,B\,d\,e\right)-b\,\left(3\,B\,c\,d^2-6\,A\,c\,d\,e\right)+6\,A\,c^2\,d^2\right)}{b^5\,d^4}-\frac{\ln\left(b+c\,x\right)\,\left(d^2\,\left(6\,A\,c^6-3\,B\,b\,c^5\right)-d\,\left(18\,A\,b\,c^5\,e-10\,B\,b^2\,c^4\,e\right)+15\,A\,b^2\,c^4\,e^2-10\,B\,b^3\,c^3\,e^2\right)}{b^9\,e^4-4\,b^8\,c\,d\,e^3+6\,b^7\,c^2\,d^2\,e^2-4\,b^6\,c^3\,d^3\,e+b^5\,c^4\,d^4}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(5\,B\,d^2\,e^4-6\,A\,d\,e^5\right)+b\,\left(3\,A\,e^6-2\,B\,d\,e^5\right)\right)}{b^4\,d^4\,e^4-4\,b^3\,c\,d^5\,e^3+6\,b^2\,c^2\,d^6\,e^2-4\,b\,c^3\,d^7\,e+c^4\,d^8}-\frac{\frac{A}{2\,b\,d}-\frac{x\,\left(3\,A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^2\,d^2}+\frac{x^3\,\left(8\,B\,b^5\,c\,d\,e^4-12\,A\,b^5\,c\,e^5-10\,B\,b^4\,c^2\,d^2\,e^3+9\,A\,b^4\,c^2\,d\,e^4+15\,B\,b^3\,c^3\,d^3\,e^2+15\,A\,b^3\,c^3\,d^2\,e^3+5\,B\,b^2\,c^4\,d^4\,e-30\,A\,b^2\,c^4\,d^3\,e^2-6\,B\,b\,c^5\,d^5-6\,A\,b\,c^5\,d^4\,e+12\,A\,c^6\,d^5\right)}{2\,b^4\,d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}-\frac{x^2\,\left(-4\,B\,b^5\,d\,e^4+6\,A\,b^5\,e^5+2\,B\,b^4\,c\,d^2\,e^3+6\,B\,b^3\,c^2\,d^3\,e^2-13\,A\,b^3\,c^2\,d^2\,e^3-19\,B\,b^2\,c^3\,d^4\,e-A\,b^2\,c^3\,d^3\,e^2+9\,B\,b\,c^4\,d^5+32\,A\,b\,c^4\,d^4\,e-18\,A\,c^5\,d^5\right)}{2\,b^3\,d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}+\frac{c^2\,e\,x^4\,\left(2\,B\,b^4\,d\,e^3-3\,A\,b^4\,e^4-3\,B\,b^3\,c\,d^2\,e^2+3\,A\,b^3\,c\,d\,e^3+7\,B\,b^2\,c^2\,d^3\,e+3\,A\,b^2\,c^2\,d^2\,e^2-3\,B\,b\,c^3\,d^4-12\,A\,b\,c^3\,d^3\,e+6\,A\,c^4\,d^4\right)}{b^4\,d^3\,\left(b^3\,e^3-3\,b^2\,c\,d\,e^2+3\,b\,c^2\,d^2\,e-c^3\,d^3\right)}}{x^3\,\left(e\,b^2+2\,c\,d\,b\right)+x^4\,\left(d\,c^2+2\,b\,e\,c\right)+b^2\,d\,x^2+c^2\,e\,x^5}","Not used",1,"(log(x)*(b^2*(3*A*e^2 - 2*B*d*e) - b*(3*B*c*d^2 - 6*A*c*d*e) + 6*A*c^2*d^2))/(b^5*d^4) - (log(b + c*x)*(d^2*(6*A*c^6 - 3*B*b*c^5) - d*(18*A*b*c^5*e - 10*B*b^2*c^4*e) + 15*A*b^2*c^4*e^2 - 10*B*b^3*c^3*e^2))/(b^9*e^4 + b^5*c^4*d^4 - 4*b^6*c^3*d^3*e + 6*b^7*c^2*d^2*e^2 - 4*b^8*c*d*e^3) - (log(d + e*x)*(c*(5*B*d^2*e^4 - 6*A*d*e^5) + b*(3*A*e^6 - 2*B*d*e^5)))/(c^4*d^8 + b^4*d^4*e^4 - 4*b^3*c*d^5*e^3 + 6*b^2*c^2*d^6*e^2 - 4*b*c^3*d^7*e) - (A/(2*b*d) - (x*(3*A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^2*d^2) + (x^3*(12*A*c^6*d^5 - 12*A*b^5*c*e^5 - 6*B*b*c^5*d^5 + 9*A*b^4*c^2*d*e^4 + 5*B*b^2*c^4*d^4*e - 30*A*b^2*c^4*d^3*e^2 + 15*A*b^3*c^3*d^2*e^3 + 15*B*b^3*c^3*d^3*e^2 - 10*B*b^4*c^2*d^2*e^3 - 6*A*b*c^5*d^4*e + 8*B*b^5*c*d*e^4))/(2*b^4*d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) - (x^2*(6*A*b^5*e^5 - 18*A*c^5*d^5 + 9*B*b*c^4*d^5 - 4*B*b^5*d*e^4 - 19*B*b^2*c^3*d^4*e + 2*B*b^4*c*d^2*e^3 - A*b^2*c^3*d^3*e^2 - 13*A*b^3*c^2*d^2*e^3 + 6*B*b^3*c^2*d^3*e^2 + 32*A*b*c^4*d^4*e))/(2*b^3*d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)) + (c^2*e*x^4*(6*A*c^4*d^4 - 3*A*b^4*e^4 - 3*B*b*c^3*d^4 + 2*B*b^4*d*e^3 + 7*B*b^2*c^2*d^3*e - 3*B*b^3*c*d^2*e^2 + 3*A*b^2*c^2*d^2*e^2 - 12*A*b*c^3*d^3*e + 3*A*b^3*c*d*e^3))/(b^4*d^3*(b^3*e^3 - c^3*d^3 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2)))/(x^3*(b^2*e + 2*b*c*d) + x^4*(c^2*d + 2*b*c*e) + b^2*d*x^2 + c^2*e*x^5)","B"
1162,1,827,404,3.839345,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^3,x)","A\,d^3\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{7\,A\,b\,e^3\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}+\frac{A\,e^3\,x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}+\frac{B\,e^3\,x^3\,{\left(c\,x^2+b\,x\right)}^{3/2}}{6\,c}-\frac{A\,b^2\,d^3\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}+\frac{B\,b^3\,d^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{B\,d^3\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}+\frac{3\,B\,b\,e^3\,\left(\frac{7\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}-\frac{x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{3\,A\,b^3\,d^2\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{A\,d^2\,e\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{8\,c^2}+\frac{3\,A\,d\,e^2\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}+\frac{3\,B\,d^2\,e\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{15\,A\,b\,d\,e^2\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}-\frac{15\,B\,b\,d^2\,e\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}-\frac{21\,B\,b\,d\,e^2\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}+\frac{3\,B\,d\,e^2\,x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}","Not used",1,"A*d^3*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (7*A*b*e^3*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) + (A*e^3*x^2*(b*x + c*x^2)^(3/2))/(5*c) + (B*e^3*x^3*(b*x + c*x^2)^(3/2))/(6*c) - (A*b^2*d^3*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2)) + (B*b^3*d^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (B*d^3*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) + (3*B*b*e^3*((7*b*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) - (x^2*(b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (3*A*b^3*d^2*e*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (A*d^2*e*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(8*c^2) + (3*A*d*e^2*x*(b*x + c*x^2)^(3/2))/(4*c) + (3*B*d^2*e*x*(b*x + c*x^2)^(3/2))/(4*c) - (15*A*b*d*e^2*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) - (15*B*b*d^2*e*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) - (21*B*b*d*e^2*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) + (3*B*d*e^2*x^2*(b*x + c*x^2)^(3/2))/(5*c)","B"
1163,1,537,267,3.030284,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^2,x)","A\,d^2\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)+\frac{A\,e^2\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,A\,b\,e^2\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}-\frac{7\,B\,b\,e^2\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}-\frac{5\,b\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}\right)}{10\,c}+\frac{B\,e^2\,x^2\,{\left(c\,x^2+b\,x\right)}^{3/2}}{5\,c}-\frac{A\,b^2\,d^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}+\frac{B\,b^3\,d^2\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{B\,d^2\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}+\frac{B\,d\,e\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{2\,c}-\frac{5\,B\,b\,d\,e\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{4\,c}+\frac{A\,b^3\,d\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{8\,c^{5/2}}+\frac{A\,d\,e\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{12\,c^2}","Not used",1,"A*d^2*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) + (A*e^2*x*(b*x + c*x^2)^(3/2))/(4*c) - (5*A*b*e^2*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) - (7*B*b*e^2*((x*(b*x + c*x^2)^(3/2))/(4*c) - (5*b*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c)))/(10*c) + (B*e^2*x^2*(b*x + c*x^2)^(3/2))/(5*c) - (A*b^2*d^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2)) + (B*b^3*d^2*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (B*d^2*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) + (B*d*e*x*(b*x + c*x^2)^(3/2))/(2*c) - (5*B*b*d*e*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(4*c) + (A*b^3*d*e*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(8*c^(5/2)) + (A*d*e*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(12*c^2)","B"
1164,1,299,154,2.441344,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x)*(d + e*x),x)","A\,d\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{5\,B\,b\,e\,\left(\frac{b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}\right)}{8\,c}-\frac{A\,b^2\,d\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}+\frac{A\,b^3\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{B\,b^3\,d\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{A\,e\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}+\frac{B\,d\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}+\frac{B\,e\,x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4\,c}","Not used",1,"A*d*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (5*B*b*e*((b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2)))/(8*c) - (A*b^2*d*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2)) + (A*b^3*e*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (B*b^3*d*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (A*e*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) + (B*d*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) + (B*e*x*(b*x + c*x^2)^(3/2))/(4*c)","B"
1165,1,127,97,1.694952,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x),x)","A\,\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)+\frac{B\,b^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x}\right)}{16\,c^{5/2}}+\frac{B\,\sqrt{c\,x^2+b\,x}\,\left(-3\,b^2+2\,b\,c\,x+8\,c^2\,x^2\right)}{24\,c^2}-\frac{A\,b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}","Not used",1,"A*(b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) + (B*b^3*log((b + 2*c*x)/c^(1/2) + 2*(b*x + c*x^2)^(1/2)))/(16*c^(5/2)) + (B*(b*x + c*x^2)^(1/2)*(8*c^2*x^2 - 3*b^2 + 2*b*c*x))/(24*c^2) - (A*b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))","B"
1166,0,-1,200,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{d+e\,x} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x), x)","F"
1167,0,-1,185,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^2,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^2, x)","F"
1168,0,-1,235,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^3,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^3, x)","F"
1169,0,-1,200,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^4,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^4, x)","F"
1170,0,-1,310,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^5,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^5, x)","F"
1171,0,-1,449,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^6,x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^6, x)","F"
1172,0,-1,345,0.000000,"\text{Not used}","int((b*x + c*x^2)^(3/2)*(A + B*x)*(d + e*x)^2,x)","\int {\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((b*x + c*x^2)^(3/2)*(A + B*x)*(d + e*x)^2, x)","F"
1173,0,-1,209,0.000000,"\text{Not used}","int((b*x + c*x^2)^(3/2)*(A + B*x)*(d + e*x),x)","\int {\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)\,\left(d+e\,x\right) \,d x","Not used",1,"int((b*x + c*x^2)^(3/2)*(A + B*x)*(d + e*x), x)","F"
1174,1,208,134,1.848520,"\text{Not used}","int((b*x + c*x^2)^(3/2)*(A + B*x),x)","\frac{B\,{\left(c\,x^2+b\,x\right)}^{5/2}}{5\,c}+\frac{A\,{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(\frac{b}{2}+c\,x\right)}{4\,c}-\frac{B\,b\,\left(\frac{x\,{\left(c\,x^2+b\,x\right)}^{3/2}}{4}+\frac{b\,{\left(c\,x^2+b\,x\right)}^{3/2}}{8\,c}-\frac{3\,b^2\,\left(\frac{\sqrt{c\,x^2+b\,x}\,\left(b+2\,c\,x\right)}{4\,c}-\frac{b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}\right)}{16\,c}\right)}{2\,c}-\frac{3\,A\,b^2\,\left(\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}\right)}{16\,c}","Not used",1,"(B*(b*x + c*x^2)^(5/2))/(5*c) + (A*(b*x + c*x^2)^(3/2)*(b/2 + c*x))/(4*c) - (B*b*((x*(b*x + c*x^2)^(3/2))/4 + (b*(b*x + c*x^2)^(3/2))/(8*c) - (3*b^2*(((b*x + c*x^2)^(1/2)*(b + 2*c*x))/(4*c) - (b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))))/(16*c)))/(2*c) - (3*A*b^2*((b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))))/(16*c)","B"
1175,0,-1,392,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{d+e\,x} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x), x)","F"
1176,0,-1,323,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^2,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^2, x)","F"
1177,0,-1,314,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^3,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^3, x)","F"
1178,0,-1,426,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^4,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^4, x)","F"
1179,0,-1,421,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^5,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^5, x)","F"
1180,0,-1,269,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^6,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^6, x)","F"
1181,0,-1,402,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^7,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^7} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^7, x)","F"
1182,0,-1,565,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^8,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^8} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^8, x)","F"
1183,0,-1,423,0.000000,"\text{Not used}","int((b*x + c*x^2)^(5/2)*(A + B*x)*(d + e*x)^2,x)","\int {\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((b*x + c*x^2)^(5/2)*(A + B*x)*(d + e*x)^2, x)","F"
1184,0,-1,264,0.000000,"\text{Not used}","int((b*x + c*x^2)^(5/2)*(A + B*x)*(d + e*x),x)","\int {\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)\,\left(d+e\,x\right) \,d x","Not used",1,"int((b*x + c*x^2)^(5/2)*(A + B*x)*(d + e*x), x)","F"
1185,0,-1,171,0.000000,"\text{Not used}","int((b*x + c*x^2)^(5/2)*(A + B*x),x)","\int {\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right) \,d x","Not used",1,"int((b*x + c*x^2)^(5/2)*(A + B*x), x)","F"
1186,0,-1,703,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{d+e\,x} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x), x)","F"
1187,0,-1,574,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^2,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^2, x)","F"
1188,0,-1,508,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^3,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^3, x)","F"
1189,0,-1,495,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^4,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^4, x)","F"
1190,0,-1,633,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^5,x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((b*x + c*x^2)^(5/2)*(A + B*x))/(d + e*x)^5, x)","F"
1191,0,-1,305,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(1/2), x)","F"
1192,0,-1,189,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^(1/2), x)","F"
1193,0,-1,99,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\left(d+e\,x\right)}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^(1/2), x)","F"
1194,1,77,55,2.119526,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(1/2),x)","\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{\sqrt{c}}+\frac{B\,\sqrt{c\,x^2+b\,x}}{c}-\frac{B\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{2\,c^{3/2}}","Not used",1,"(A*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/c^(1/2) + (B*(b*x + c*x^2)^(1/2))/c - (B*b*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(2*c^(3/2))","B"
1195,0,-1,113,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)), x)","F"
1196,0,-1,128,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^2),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^2), x)","F"
1197,0,-1,216,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^3),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^3), x)","F"
1198,0,-1,331,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^4),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^4), x)","F"
1199,0,-1,238,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(3/2), x)","F"
1200,0,-1,151,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^(3/2), x)","F"
1201,1,101,85,2.272725,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^(3/2),x)","\frac{B\,e\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{c^{3/2}}-\frac{2\,A\,b\,d-2\,A\,b\,e\,x+4\,A\,c\,d\,x}{b^2\,\sqrt{c\,x^2+b\,x}}+\frac{2\,B\,d\,x}{b\,\sqrt{x\,\left(b+c\,x\right)}}-\frac{2\,B\,e\,x}{c\,\sqrt{c\,x^2+b\,x}}","Not used",1,"(B*e*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/c^(3/2) - (2*A*b*d - 2*A*b*e*x + 4*A*c*d*x)/(b^2*(b*x + c*x^2)^(1/2)) + (2*B*d*x)/(b*(x*(b + c*x))^(1/2)) - (2*B*e*x)/(c*(b*x + c*x^2)^(1/2))","B"
1202,1,31,33,1.645628,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(3/2),x)","-\frac{2\,A\,b+4\,A\,c\,x-2\,B\,b\,x}{b^2\,\sqrt{c\,x^2+b\,x}}","Not used",1,"-(2*A*b + 4*A*c*x - 2*B*b*x)/(b^2*(b*x + c*x^2)^(1/2))","B"
1203,0,-1,141,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)), x)","F"
1204,0,-1,245,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^2),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^2), x)","F"
1205,0,-1,374,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^3),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^3), x)","F"
1206,0,-1,341,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^4)/(b*x + c*x^2)^(5/2), x)","F"
1207,0,-1,220,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(b*x + c*x^2)^(5/2), x)","F"
1208,1,190,92,1.908000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(b*x + c*x^2)^(5/2),x)","\frac{2\,\left(-3\,B\,b^3\,d^2\,x-A\,b^3\,d^2+6\,B\,b^3\,d\,e\,x^2-6\,A\,b^3\,d\,e\,x+B\,b^3\,e^2\,x^3+3\,A\,b^3\,e^2\,x^2-12\,B\,b^2\,c\,d^2\,x^2+6\,A\,b^2\,c\,d^2\,x+4\,B\,b^2\,c\,d\,e\,x^3-24\,A\,b^2\,c\,d\,e\,x^2+2\,A\,b^2\,c\,e^2\,x^3-8\,B\,b\,c^2\,d^2\,x^3+24\,A\,b\,c^2\,d^2\,x^2-16\,A\,b\,c^2\,d\,e\,x^3+16\,A\,c^3\,d^2\,x^3\right)}{3\,b^4\,{\left(c\,x^2+b\,x\right)}^{3/2}}","Not used",1,"(2*(3*A*b^3*e^2*x^2 - 3*B*b^3*d^2*x - A*b^3*d^2 + 16*A*c^3*d^2*x^3 + B*b^3*e^2*x^3 + 6*A*b^2*c*d^2*x + 6*B*b^3*d*e*x^2 + 24*A*b*c^2*d^2*x^2 - 12*B*b^2*c*d^2*x^2 + 2*A*b^2*c*e^2*x^3 - 8*B*b*c^2*d^2*x^3 - 6*A*b^3*d*e*x - 24*A*b^2*c*d*e*x^2 - 16*A*b*c^2*d*e*x^3 + 4*B*b^2*c*d*e*x^3))/(3*b^4*(b*x + c*x^2)^(3/2))","B"
1209,1,134,111,1.733121,"\text{Not used}","int(((A + B*x)*(d + e*x))/(b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(A\,b^3\,d+3\,A\,b^3\,e\,x+3\,B\,b^3\,d\,x-16\,A\,c^3\,d\,x^3-3\,B\,b^3\,e\,x^2-24\,A\,b\,c^2\,d\,x^2+12\,A\,b^2\,c\,e\,x^2+12\,B\,b^2\,c\,d\,x^2+8\,A\,b\,c^2\,e\,x^3+8\,B\,b\,c^2\,d\,x^3-2\,B\,b^2\,c\,e\,x^3-6\,A\,b^2\,c\,d\,x\right)}{3\,b^4\,{\left(c\,x^2+b\,x\right)}^{3/2}}","Not used",1,"-(2*(A*b^3*d + 3*A*b^3*e*x + 3*B*b^3*d*x - 16*A*c^3*d*x^3 - 3*B*b^3*e*x^2 - 24*A*b*c^2*d*x^2 + 12*A*b^2*c*e*x^2 + 12*B*b^2*c*d*x^2 + 8*A*b*c^2*e*x^3 + 8*B*b*c^2*d*x^3 - 2*B*b^2*c*e*x^3 - 6*A*b^2*c*d*x))/(3*b^4*(b*x + c*x^2)^(3/2))","B"
1210,1,76,70,1.629383,"\text{Not used}","int((A + B*x)/(b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(3\,B\,b^3\,x+A\,b^3+12\,B\,b^2\,c\,x^2-6\,A\,b^2\,c\,x+8\,B\,b\,c^2\,x^3-24\,A\,b\,c^2\,x^2-16\,A\,c^3\,x^3\right)}{3\,b^4\,{\left(c\,x^2+b\,x\right)}^{3/2}}","Not used",1,"-(2*(A*b^3 - 16*A*c^3*x^3 + 3*B*b^3*x - 6*A*b^2*c*x - 24*A*b*c^2*x^2 + 12*B*b^2*c*x^2 + 8*B*b*c^2*x^3))/(3*b^4*(b*x + c*x^2)^(3/2))","B"
1211,0,-1,287,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)), x)","F"
1212,0,-1,449,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^2),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{5/2}\,{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^2), x)","F"
1213,1,111,126,0.100558,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{11\,e^4}+\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{13\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{15/2}}{15\,e^4}-\frac{2\,d\,\left(A\,e-B\,d\right)\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}","Not used",1,"((d + e*x)^(11/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/(11*e^4) + ((d + e*x)^(13/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(13*e^4) + (2*B*c*(d + e*x)^(15/2))/(15*e^4) - (2*d*(A*e - B*d)*(b*e - c*d)*(d + e*x)^(9/2))/(9*e^4)","B"
1214,1,111,126,0.071813,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{9\,e^4}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{11\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{13/2}}{13\,e^4}-\frac{2\,d\,\left(A\,e-B\,d\right)\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}","Not used",1,"((d + e*x)^(9/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/(9*e^4) + ((d + e*x)^(11/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(11*e^4) + (2*B*c*(d + e*x)^(13/2))/(13*e^4) - (2*d*(A*e - B*d)*(b*e - c*d)*(d + e*x)^(7/2))/(7*e^4)","B"
1215,1,111,126,0.073429,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{7\,e^4}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{9\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}-\frac{2\,d\,\left(A\,e-B\,d\right)\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}","Not used",1,"((d + e*x)^(7/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/(7*e^4) + ((d + e*x)^(9/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(9*e^4) + (2*B*c*(d + e*x)^(11/2))/(11*e^4) - (2*d*(A*e - B*d)*(b*e - c*d)*(d + e*x)^(5/2))/(5*e^4)","B"
1216,1,111,126,0.070301,"\text{Not used}","int((b*x + c*x^2)*(A + B*x)*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{5\,e^4}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{7\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}-\frac{2\,d\,\left(A\,e-B\,d\right)\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}","Not used",1,"((d + e*x)^(5/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/(5*e^4) + ((d + e*x)^(7/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(7*e^4) + (2*B*c*(d + e*x)^(9/2))/(9*e^4) - (2*d*(A*e - B*d)*(b*e - c*d)*(d + e*x)^(3/2))/(3*e^4)","B"
1217,1,111,124,0.072288,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{3\,e^4}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{5\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}-\frac{2\,d\,\left(A\,e-B\,d\right)\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}}{e^4}","Not used",1,"((d + e*x)^(3/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/(3*e^4) + ((d + e*x)^(5/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(5*e^4) + (2*B*c*(d + e*x)^(7/2))/(7*e^4) - (2*d*(A*e - B*d)*(b*e - c*d)*(d + e*x)^(1/2))/e^4","B"
1218,1,124,122,1.553060,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^(3/2),x)","\frac{\sqrt{d+e\,x}\,\left(2\,A\,b\,e^2+6\,B\,c\,d^2-4\,A\,c\,d\,e-4\,B\,b\,d\,e\right)}{e^4}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,c\,e+2\,B\,b\,e-6\,B\,c\,d\right)}{3\,e^4}+\frac{2\,B\,c\,d^3+2\,A\,b\,d\,e^2-2\,A\,c\,d^2\,e-2\,B\,b\,d^2\,e}{e^4\,\sqrt{d+e\,x}}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}","Not used",1,"((d + e*x)^(1/2)*(2*A*b*e^2 + 6*B*c*d^2 - 4*A*c*d*e - 4*B*b*d*e))/e^4 + ((d + e*x)^(3/2)*(2*A*c*e + 2*B*b*e - 6*B*c*d))/(3*e^4) + (2*B*c*d^3 + 2*A*b*d*e^2 - 2*A*c*d^2*e - 2*B*b*d^2*e)/(e^4*(d + e*x)^(1/2)) + (2*B*c*(d + e*x)^(5/2))/(5*e^4)","B"
1219,1,137,122,0.085986,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^(5/2),x)","\frac{2\,B\,c\,{\left(d+e\,x\right)}^3+2\,B\,c\,d^3+2\,A\,b\,d\,e^2-2\,A\,c\,d^2\,e-2\,B\,b\,d^2\,e-6\,A\,b\,e^2\,\left(d+e\,x\right)+6\,A\,c\,e\,{\left(d+e\,x\right)}^2+6\,B\,b\,e\,{\left(d+e\,x\right)}^2-18\,B\,c\,d\,{\left(d+e\,x\right)}^2-18\,B\,c\,d^2\,\left(d+e\,x\right)+12\,A\,c\,d\,e\,\left(d+e\,x\right)+12\,B\,b\,d\,e\,\left(d+e\,x\right)}{3\,e^4\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*B*c*(d + e*x)^3 + 2*B*c*d^3 + 2*A*b*d*e^2 - 2*A*c*d^2*e - 2*B*b*d^2*e - 6*A*b*e^2*(d + e*x) + 6*A*c*e*(d + e*x)^2 + 6*B*b*e*(d + e*x)^2 - 18*B*c*d*(d + e*x)^2 - 18*B*c*d^2*(d + e*x) + 12*A*c*d*e*(d + e*x) + 12*B*b*d*e*(d + e*x))/(3*e^4*(d + e*x)^(3/2))","B"
1220,1,120,122,0.091777,"\text{Not used}","int(((b*x + c*x^2)*(A + B*x))/(d + e*x)^(7/2),x)","-\frac{2\,\left(2\,A\,b\,d\,e^2-48\,B\,c\,d^3+8\,A\,c\,d^2\,e+8\,B\,b\,d^2\,e+5\,A\,b\,e^3\,x+15\,A\,c\,e^3\,x^2+15\,B\,b\,e^3\,x^2-15\,B\,c\,e^3\,x^3-90\,B\,c\,d\,e^2\,x^2+20\,A\,c\,d\,e^2\,x+20\,B\,b\,d\,e^2\,x-120\,B\,c\,d^2\,e\,x\right)}{15\,e^4\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-(2*(2*A*b*d*e^2 - 48*B*c*d^3 + 8*A*c*d^2*e + 8*B*b*d^2*e + 5*A*b*e^3*x + 15*A*c*e^3*x^2 + 15*B*b*e^3*x^2 - 15*B*c*e^3*x^3 - 90*B*c*d*e^2*x^2 + 20*A*c*d*e^2*x + 20*B*b*d*e^2*x - 120*B*c*d^2*e*x))/(15*e^4*(d + e*x)^(5/2))","B"
1221,1,254,267,1.618146,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{17/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{17\,e^6}+\frac{{\left(d+e\,x\right)}^{13/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{13\,e^6}+\frac{{\left(d+e\,x\right)}^{15/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{15\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{19/2}}{19\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{11\,e^6}+\frac{2\,d^2\,\left(A\,e-B\,d\right)\,{\left(b\,e-c\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}","Not used",1,"((d + e*x)^(17/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(17*e^6) + ((d + e*x)^(13/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(13*e^6) + ((d + e*x)^(15/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(15*e^6) + (2*B*c^2*(d + e*x)^(19/2))/(19*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(11/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/(11*e^6) + (2*d^2*(A*e - B*d)*(b*e - c*d)^2*(d + e*x)^(9/2))/(9*e^6)","B"
1222,1,254,267,1.619285,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{15\,e^6}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{11\,e^6}+\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{13\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{17/2}}{17\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{9\,e^6}+\frac{2\,d^2\,\left(A\,e-B\,d\right)\,{\left(b\,e-c\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}","Not used",1,"((d + e*x)^(15/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(15*e^6) + ((d + e*x)^(11/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(11*e^6) + ((d + e*x)^(13/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(13*e^6) + (2*B*c^2*(d + e*x)^(17/2))/(17*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(9/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/(9*e^6) + (2*d^2*(A*e - B*d)*(b*e - c*d)^2*(d + e*x)^(7/2))/(7*e^6)","B"
1223,1,254,267,0.060614,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{13\,e^6}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{9\,e^6}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{11\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{7\,e^6}+\frac{2\,d^2\,\left(A\,e-B\,d\right)\,{\left(b\,e-c\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}","Not used",1,"((d + e*x)^(13/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(13*e^6) + ((d + e*x)^(9/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(9*e^6) + ((d + e*x)^(11/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(11*e^6) + (2*B*c^2*(d + e*x)^(15/2))/(15*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(7/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/(7*e^6) + (2*d^2*(A*e - B*d)*(b*e - c*d)^2*(d + e*x)^(5/2))/(5*e^6)","B"
1224,1,254,267,1.526674,"\text{Not used}","int((b*x + c*x^2)^2*(A + B*x)*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{11\,e^6}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{7\,e^6}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{9\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{5\,e^6}+\frac{2\,d^2\,\left(A\,e-B\,d\right)\,{\left(b\,e-c\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}","Not used",1,"((d + e*x)^(11/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(11*e^6) + ((d + e*x)^(7/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(7*e^6) + ((d + e*x)^(9/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(9*e^6) + (2*B*c^2*(d + e*x)^(13/2))/(13*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(5/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/(5*e^6) + (2*d^2*(A*e - B*d)*(b*e - c*d)^2*(d + e*x)^(3/2))/(3*e^6)","B"
1225,1,254,265,1.506926,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{9\,e^6}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{5\,e^6}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{7\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{3\,e^6}+\frac{2\,d^2\,\left(A\,e-B\,d\right)\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}}{e^6}","Not used",1,"((d + e*x)^(9/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(9*e^6) + ((d + e*x)^(5/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(5*e^6) + ((d + e*x)^(7/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(7*e^6) + (2*B*c^2*(d + e*x)^(11/2))/(11*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(3/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/(3*e^6) + (2*d^2*(A*e - B*d)*(b*e - c*d)^2*(d + e*x)^(1/2))/e^6","B"
1226,1,296,263,1.527110,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{7\,e^6}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{3\,e^6}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{5\,e^6}+\frac{2\,B\,b^2\,d^3\,e^2-2\,A\,b^2\,d^2\,e^3-4\,B\,b\,c\,d^4\,e+4\,A\,b\,c\,d^3\,e^2+2\,B\,c^2\,d^5-2\,A\,c^2\,d^4\,e}{e^6\,\sqrt{d+e\,x}}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}-\frac{2\,d\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(2\,A\,b\,e^2+5\,B\,c\,d^2-4\,A\,c\,d\,e-3\,B\,b\,d\,e\right)}{e^6}","Not used",1,"((d + e*x)^(7/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(7*e^6) + ((d + e*x)^(3/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/(3*e^6) + ((d + e*x)^(5/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(5*e^6) + (2*B*c^2*d^5 - 2*A*c^2*d^4*e - 2*A*b^2*d^2*e^3 + 2*B*b^2*d^3*e^2 - 4*B*b*c*d^4*e + 4*A*b*c*d^3*e^2)/(e^6*(d + e*x)^(1/2)) + (2*B*c^2*(d + e*x)^(9/2))/(9*e^6) - (2*d*(b*e - c*d)*(d + e*x)^(1/2)*(2*A*b*e^2 + 5*B*c*d^2 - 4*A*c*d*e - 3*B*b*d*e))/e^6","B"
1227,1,316,263,0.072865,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{5\,e^6}-\frac{\left(d+e\,x\right)\,\left(6\,B\,b^2\,d^2\,e^2-4\,A\,b^2\,d\,e^3-16\,B\,b\,c\,d^3\,e+12\,A\,b\,c\,d^2\,e^2+10\,B\,c^2\,d^4-8\,A\,c^2\,d^3\,e\right)-\frac{2\,B\,c^2\,d^5}{3}+\frac{2\,A\,c^2\,d^4\,e}{3}+\frac{2\,A\,b^2\,d^2\,e^3}{3}-\frac{2\,B\,b^2\,d^3\,e^2}{3}+\frac{4\,B\,b\,c\,d^4\,e}{3}-\frac{4\,A\,b\,c\,d^3\,e^2}{3}}{e^6\,{\left(d+e\,x\right)}^{3/2}}+\frac{\sqrt{d+e\,x}\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)}{e^6}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{3\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}","Not used",1,"((d + e*x)^(5/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(5*e^6) - ((d + e*x)*(10*B*c^2*d^4 - 4*A*b^2*d*e^3 - 8*A*c^2*d^3*e + 6*B*b^2*d^2*e^2 - 16*B*b*c*d^3*e + 12*A*b*c*d^2*e^2) - (2*B*c^2*d^5)/3 + (2*A*c^2*d^4*e)/3 + (2*A*b^2*d^2*e^3)/3 - (2*B*b^2*d^3*e^2)/3 + (4*B*b*c*d^4*e)/3 - (4*A*b*c*d^3*e^2)/3)/(e^6*(d + e*x)^(3/2)) + ((d + e*x)^(1/2)*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e))/e^6 + ((d + e*x)^(3/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/(3*e^6) + (2*B*c^2*(d + e*x)^(7/2))/(7*e^6)","B"
1228,1,312,263,1.559715,"\text{Not used}","int(((b*x + c*x^2)^2*(A + B*x))/(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,c^2\,e-10\,B\,c^2\,d+4\,B\,b\,c\,e\right)}{3\,e^6}+\frac{\sqrt{d+e\,x}\,\left(2\,B\,b^2\,e^2-16\,B\,b\,c\,d\,e+4\,A\,b\,c\,e^2+20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e\right)}{e^6}-\frac{\left(d+e\,x\right)\,\left(2\,B\,b^2\,d^2\,e^2-\frac{4\,A\,b^2\,d\,e^3}{3}-\frac{16\,B\,b\,c\,d^3\,e}{3}+4\,A\,b\,c\,d^2\,e^2+\frac{10\,B\,c^2\,d^4}{3}-\frac{8\,A\,c^2\,d^3\,e}{3}\right)+{\left(d+e\,x\right)}^2\,\left(-6\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e-12\,A\,b\,c\,d\,e^2-20\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e\right)-\frac{2\,B\,c^2\,d^5}{5}+\frac{2\,A\,c^2\,d^4\,e}{5}+\frac{2\,A\,b^2\,d^2\,e^3}{5}-\frac{2\,B\,b^2\,d^3\,e^2}{5}+\frac{4\,B\,b\,c\,d^4\,e}{5}-\frac{4\,A\,b\,c\,d^3\,e^2}{5}}{e^6\,{\left(d+e\,x\right)}^{5/2}}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}","Not used",1,"((d + e*x)^(3/2)*(2*A*c^2*e - 10*B*c^2*d + 4*B*b*c*e))/(3*e^6) + ((d + e*x)^(1/2)*(2*B*b^2*e^2 + 20*B*c^2*d^2 + 4*A*b*c*e^2 - 8*A*c^2*d*e - 16*B*b*c*d*e))/e^6 - ((d + e*x)*((10*B*c^2*d^4)/3 - (4*A*b^2*d*e^3)/3 - (8*A*c^2*d^3*e)/3 + 2*B*b^2*d^2*e^2 - (16*B*b*c*d^3*e)/3 + 4*A*b*c*d^2*e^2) + (d + e*x)^2*(2*A*b^2*e^3 - 20*B*c^2*d^3 + 12*A*c^2*d^2*e - 6*B*b^2*d*e^2 - 12*A*b*c*d*e^2 + 24*B*b*c*d^2*e) - (2*B*c^2*d^5)/5 + (2*A*c^2*d^4*e)/5 + (2*A*b^2*d^2*e^3)/5 - (2*B*b^2*d^3*e^2)/5 + (4*B*b*c*d^4*e)/5 - (4*A*b*c*d^3*e^2)/5)/(e^6*(d + e*x)^(5/2)) + (2*B*c^2*(d + e*x)^(5/2))/(5*e^6)","B"
1229,1,6515,228,2.358103,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2),x)","\left(\frac{2\,A\,e-2\,B\,d}{5\,c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{5\,c^2}\right)\,{\left(d+e\,x\right)}^{5/2}-\left(\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{2\,A\,e-2\,B\,d}{c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{c^2}\right)}{c}-\frac{\left(b\,e-2\,c\,d\right)\,\left(\frac{\left(b\,e-2\,c\,d\right)\,\left(\frac{2\,A\,e-2\,B\,d}{c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{c^2}\right)}{c}+\frac{2\,B\,\left(c\,d^2-b\,d\,e\right)}{c^2}\right)}{c}\right)\,\sqrt{d+e\,x}-\left(\frac{\left(b\,e-2\,c\,d\right)\,\left(\frac{2\,A\,e-2\,B\,d}{c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{c^2}\right)}{3\,c}+\frac{2\,B\,\left(c\,d^2-b\,d\,e\right)}{3\,c^2}\right)\,{\left(d+e\,x\right)}^{3/2}+\frac{2\,B\,{\left(d+e\,x\right)}^{7/2}}{7\,c}-\frac{A\,\mathrm{atan}\left(\frac{\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}+\frac{A\,\sqrt{d^7}\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}+\frac{8\,A\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{d^7}\,\sqrt{d+e\,x}}{b\,c^7}\right)}{b}\right)\,\sqrt{d^7}\,1{}\mathrm{i}}{b}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}-\frac{A\,\sqrt{d^7}\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}-\frac{8\,A\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{d^7}\,\sqrt{d+e\,x}}{b\,c^7}\right)}{b}\right)\,\sqrt{d^7}\,1{}\mathrm{i}}{b}}{\frac{16\,\left(-A^3\,b^7\,c^2\,d^4\,e^{10}+8\,A^3\,b^6\,c^3\,d^5\,e^9-28\,A^3\,b^5\,c^4\,d^6\,e^8+56\,A^3\,b^4\,c^5\,d^7\,e^7-69\,A^3\,b^3\,c^6\,d^8\,e^6+52\,A^3\,b^2\,c^7\,d^9\,e^5-22\,A^3\,b\,c^8\,d^{10}\,e^4+4\,A^3\,c^9\,d^{11}\,e^3+2\,A^2\,B\,b^8\,c\,d^4\,e^{10}-16\,A^2\,B\,b^7\,c^2\,d^5\,e^9+56\,A^2\,B\,b^6\,c^3\,d^6\,e^8-112\,A^2\,B\,b^5\,c^4\,d^7\,e^7+139\,A^2\,B\,b^4\,c^5\,d^8\,e^6-108\,A^2\,B\,b^3\,c^6\,d^9\,e^5+50\,A^2\,B\,b^2\,c^7\,d^{10}\,e^4-12\,A^2\,B\,b\,c^8\,d^{11}\,e^3+A^2\,B\,c^9\,d^{12}\,e^2-A\,B^2\,b^9\,d^4\,e^{10}+8\,A\,B^2\,b^8\,c\,d^5\,e^9-28\,A\,B^2\,b^7\,c^2\,d^6\,e^8+56\,A\,B^2\,b^6\,c^3\,d^7\,e^7-70\,A\,B^2\,b^5\,c^4\,d^8\,e^6+56\,A\,B^2\,b^4\,c^5\,d^9\,e^5-28\,A\,B^2\,b^3\,c^6\,d^{10}\,e^4+8\,A\,B^2\,b^2\,c^7\,d^{11}\,e^3-A\,B^2\,b\,c^8\,d^{12}\,e^2\right)}{c^7}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}+\frac{A\,\sqrt{d^7}\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}+\frac{8\,A\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{d^7}\,\sqrt{d+e\,x}}{b\,c^7}\right)}{b}\right)\,\sqrt{d^7}}{b}-\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}-\frac{A\,\sqrt{d^7}\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}-\frac{8\,A\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{d^7}\,\sqrt{d+e\,x}}{b\,c^7}\right)}{b}\right)\,\sqrt{d^7}}{b}}\right)\,\sqrt{d^7}\,2{}\mathrm{i}}{b}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}+\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}+\frac{8\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{16}}\right)}{b\,c^9}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{b\,c^9}+\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}-\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}-\frac{8\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{16}}\right)}{b\,c^9}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{b\,c^9}}{\frac{16\,\left(-A^3\,b^7\,c^2\,d^4\,e^{10}+8\,A^3\,b^6\,c^3\,d^5\,e^9-28\,A^3\,b^5\,c^4\,d^6\,e^8+56\,A^3\,b^4\,c^5\,d^7\,e^7-69\,A^3\,b^3\,c^6\,d^8\,e^6+52\,A^3\,b^2\,c^7\,d^9\,e^5-22\,A^3\,b\,c^8\,d^{10}\,e^4+4\,A^3\,c^9\,d^{11}\,e^3+2\,A^2\,B\,b^8\,c\,d^4\,e^{10}-16\,A^2\,B\,b^7\,c^2\,d^5\,e^9+56\,A^2\,B\,b^6\,c^3\,d^6\,e^8-112\,A^2\,B\,b^5\,c^4\,d^7\,e^7+139\,A^2\,B\,b^4\,c^5\,d^8\,e^6-108\,A^2\,B\,b^3\,c^6\,d^9\,e^5+50\,A^2\,B\,b^2\,c^7\,d^{10}\,e^4-12\,A^2\,B\,b\,c^8\,d^{11}\,e^3+A^2\,B\,c^9\,d^{12}\,e^2-A\,B^2\,b^9\,d^4\,e^{10}+8\,A\,B^2\,b^8\,c\,d^5\,e^9-28\,A\,B^2\,b^7\,c^2\,d^6\,e^8+56\,A\,B^2\,b^6\,c^3\,d^7\,e^7-70\,A\,B^2\,b^5\,c^4\,d^8\,e^6+56\,A\,B^2\,b^4\,c^5\,d^9\,e^5-28\,A\,B^2\,b^3\,c^6\,d^{10}\,e^4+8\,A\,B^2\,b^2\,c^7\,d^{11}\,e^3-A\,B^2\,b\,c^8\,d^{12}\,e^2\right)}{c^7}+\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}+\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}+\frac{8\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{16}}\right)}{b\,c^9}\right)\,\left(A\,c-B\,b\right)}{b\,c^9}-\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}-8\,A^2\,b^7\,c^3\,d\,e^9+28\,A^2\,b^6\,c^4\,d^2\,e^8-56\,A^2\,b^5\,c^5\,d^3\,e^7+70\,A^2\,b^4\,c^6\,d^4\,e^6-56\,A^2\,b^3\,c^7\,d^5\,e^5+28\,A^2\,b^2\,c^8\,d^6\,e^4-8\,A^2\,b\,c^9\,d^7\,e^3+2\,A^2\,c^{10}\,d^8\,e^2-2\,A\,B\,b^9\,c\,e^{10}+16\,A\,B\,b^8\,c^2\,d\,e^9-56\,A\,B\,b^7\,c^3\,d^2\,e^8+112\,A\,B\,b^6\,c^4\,d^3\,e^7-140\,A\,B\,b^5\,c^5\,d^4\,e^6+112\,A\,B\,b^4\,c^6\,d^5\,e^5-56\,A\,B\,b^3\,c^7\,d^6\,e^4+16\,A\,B\,b^2\,c^8\,d^7\,e^3-2\,A\,B\,b\,c^9\,d^8\,e^2+B^2\,b^{10}\,e^{10}-8\,B^2\,b^9\,c\,d\,e^9+28\,B^2\,b^8\,c^2\,d^2\,e^8-56\,B^2\,b^7\,c^3\,d^3\,e^7+70\,B^2\,b^6\,c^4\,d^4\,e^6-56\,B^2\,b^5\,c^5\,d^5\,e^5+28\,B^2\,b^4\,c^6\,d^6\,e^4-8\,B^2\,b^3\,c^7\,d^7\,e^3+B^2\,b^2\,c^8\,d^8\,e^2\right)}{c^7}-\frac{\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^6\,c^5\,d\,e^6-4\,B\,b^5\,c^6\,d^2\,e^5-A\,b^5\,c^6\,d\,e^6+6\,B\,b^4\,c^7\,d^3\,e^4+4\,A\,b^4\,c^7\,d^2\,e^5-4\,B\,b^3\,c^8\,d^4\,e^3-6\,A\,b^3\,c^8\,d^3\,e^4+B\,b^2\,c^9\,d^5\,e^2+3\,A\,b^2\,c^9\,d^4\,e^3\right)}{c^7}-\frac{8\,\left(b^3\,c^9\,e^3-2\,b^2\,c^{10}\,d\,e^2\right)\,\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{16}}\right)}{b\,c^9}\right)\,\left(A\,c-B\,b\right)}{b\,c^9}}\right)\,\sqrt{-c^9\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,2{}\mathrm{i}}{b\,c^9}","Not used",1,"((2*A*e - 2*B*d)/(5*c) - (2*B*(b*e - 2*c*d))/(5*c^2))*(d + e*x)^(5/2) - (((c*d^2 - b*d*e)*((2*A*e - 2*B*d)/c - (2*B*(b*e - 2*c*d))/c^2))/c - ((b*e - 2*c*d)*(((b*e - 2*c*d)*((2*A*e - 2*B*d)/c - (2*B*(b*e - 2*c*d))/c^2))/c + (2*B*(c*d^2 - b*d*e))/c^2))/c)*(d + e*x)^(1/2) - (((b*e - 2*c*d)*((2*A*e - 2*B*d)/c - (2*B*(b*e - 2*c*d))/c^2))/(3*c) + (2*B*(c*d^2 - b*d*e))/(3*c^2))*(d + e*x)^(3/2) + (2*B*(d + e*x)^(7/2))/(7*c) - (A*atan(((A*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 + (A*(d^7)^(1/2)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 + (8*A*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(d^7)^(1/2)*(d + e*x)^(1/2))/(b*c^7)))/b)*(d^7)^(1/2)*1i)/b + (A*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 - (A*(d^7)^(1/2)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 - (8*A*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(d^7)^(1/2)*(d + e*x)^(1/2))/(b*c^7)))/b)*(d^7)^(1/2)*1i)/b)/((16*(4*A^3*c^9*d^11*e^3 + 52*A^3*b^2*c^7*d^9*e^5 - 69*A^3*b^3*c^6*d^8*e^6 + 56*A^3*b^4*c^5*d^7*e^7 - 28*A^3*b^5*c^4*d^6*e^8 + 8*A^3*b^6*c^3*d^5*e^9 - A^3*b^7*c^2*d^4*e^10 - A*B^2*b^9*d^4*e^10 + A^2*B*c^9*d^12*e^2 - 22*A^3*b*c^8*d^10*e^4 + 8*A*B^2*b^2*c^7*d^11*e^3 - 28*A*B^2*b^3*c^6*d^10*e^4 + 56*A*B^2*b^4*c^5*d^9*e^5 - 70*A*B^2*b^5*c^4*d^8*e^6 + 56*A*B^2*b^6*c^3*d^7*e^7 - 28*A*B^2*b^7*c^2*d^6*e^8 + 50*A^2*B*b^2*c^7*d^10*e^4 - 108*A^2*B*b^3*c^6*d^9*e^5 + 139*A^2*B*b^4*c^5*d^8*e^6 - 112*A^2*B*b^5*c^4*d^7*e^7 + 56*A^2*B*b^6*c^3*d^6*e^8 - 16*A^2*B*b^7*c^2*d^5*e^9 - A*B^2*b*c^8*d^12*e^2 + 8*A*B^2*b^8*c*d^5*e^9 - 12*A^2*B*b*c^8*d^11*e^3 + 2*A^2*B*b^8*c*d^4*e^10))/c^7 + (A*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 + (A*(d^7)^(1/2)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 + (8*A*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(d^7)^(1/2)*(d + e*x)^(1/2))/(b*c^7)))/b)*(d^7)^(1/2))/b - (A*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 - (A*(d^7)^(1/2)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 - (8*A*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(d^7)^(1/2)*(d + e*x)^(1/2))/(b*c^7)))/b)*(d^7)^(1/2))/b))*(d^7)^(1/2)*2i)/b - (atan((((-c^9*(b*e - c*d)^7)^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 + ((-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 + (8*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^16)))/(b*c^9))*(A*c - B*b)*1i)/(b*c^9) + ((-c^9*(b*e - c*d)^7)^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 - ((-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 - (8*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^16)))/(b*c^9))*(A*c - B*b)*1i)/(b*c^9))/((16*(4*A^3*c^9*d^11*e^3 + 52*A^3*b^2*c^7*d^9*e^5 - 69*A^3*b^3*c^6*d^8*e^6 + 56*A^3*b^4*c^5*d^7*e^7 - 28*A^3*b^5*c^4*d^6*e^8 + 8*A^3*b^6*c^3*d^5*e^9 - A^3*b^7*c^2*d^4*e^10 - A*B^2*b^9*d^4*e^10 + A^2*B*c^9*d^12*e^2 - 22*A^3*b*c^8*d^10*e^4 + 8*A*B^2*b^2*c^7*d^11*e^3 - 28*A*B^2*b^3*c^6*d^10*e^4 + 56*A*B^2*b^4*c^5*d^9*e^5 - 70*A*B^2*b^5*c^4*d^8*e^6 + 56*A*B^2*b^6*c^3*d^7*e^7 - 28*A*B^2*b^7*c^2*d^6*e^8 + 50*A^2*B*b^2*c^7*d^10*e^4 - 108*A^2*B*b^3*c^6*d^9*e^5 + 139*A^2*B*b^4*c^5*d^8*e^6 - 112*A^2*B*b^5*c^4*d^7*e^7 + 56*A^2*B*b^6*c^3*d^6*e^8 - 16*A^2*B*b^7*c^2*d^5*e^9 - A*B^2*b*c^8*d^12*e^2 + 8*A*B^2*b^8*c*d^5*e^9 - 12*A^2*B*b*c^8*d^11*e^3 + 2*A^2*B*b^8*c*d^4*e^10))/c^7 + ((-c^9*(b*e - c*d)^7)^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 + ((-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 + (8*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^16)))/(b*c^9))*(A*c - B*b))/(b*c^9) - ((-c^9*(b*e - c*d)^7)^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 2*A^2*c^10*d^8*e^2 + 28*A^2*b^2*c^8*d^6*e^4 - 56*A^2*b^3*c^7*d^5*e^5 + 70*A^2*b^4*c^6*d^4*e^6 - 56*A^2*b^5*c^5*d^3*e^7 + 28*A^2*b^6*c^4*d^2*e^8 + B^2*b^2*c^8*d^8*e^2 - 8*B^2*b^3*c^7*d^7*e^3 + 28*B^2*b^4*c^6*d^6*e^4 - 56*B^2*b^5*c^5*d^5*e^5 + 70*B^2*b^6*c^4*d^4*e^6 - 56*B^2*b^7*c^3*d^3*e^7 + 28*B^2*b^8*c^2*d^2*e^8 - 8*B^2*b^9*c*d*e^9 - 8*A^2*b*c^9*d^7*e^3 - 8*A^2*b^7*c^3*d*e^9 - 2*A*B*b^9*c*e^10 - 2*A*B*b*c^9*d^8*e^2 + 16*A*B*b^8*c^2*d*e^9 + 16*A*B*b^2*c^8*d^7*e^3 - 56*A*B*b^3*c^7*d^6*e^4 + 112*A*B*b^4*c^6*d^5*e^5 - 140*A*B*b^5*c^5*d^4*e^6 + 112*A*B*b^6*c^4*d^3*e^7 - 56*A*B*b^7*c^3*d^2*e^8))/c^7 - ((-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((8*(B*b^6*c^5*d*e^6 - A*b^5*c^6*d*e^6 + 3*A*b^2*c^9*d^4*e^3 - 6*A*b^3*c^8*d^3*e^4 + 4*A*b^4*c^7*d^2*e^5 + B*b^2*c^9*d^5*e^2 - 4*B*b^3*c^8*d^4*e^3 + 6*B*b^4*c^7*d^3*e^4 - 4*B*b^5*c^6*d^2*e^5))/c^7 - (8*(b^3*c^9*e^3 - 2*b^2*c^10*d*e^2)*(-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^16)))/(b*c^9))*(A*c - B*b))/(b*c^9)))*(-c^9*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*2i)/(b*c^9)","B"
1230,1,5138,173,2.188872,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2),x)","\left(\frac{2\,A\,e-2\,B\,d}{3\,c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{3\,c^2}\right)\,{\left(d+e\,x\right)}^{3/2}-\left(\frac{\left(b\,e-2\,c\,d\right)\,\left(\frac{2\,A\,e-2\,B\,d}{c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{c^2}\right)}{c}+\frac{2\,B\,\left(c\,d^2-b\,d\,e\right)}{c^2}\right)\,\sqrt{d+e\,x}+\frac{2\,B\,{\left(d+e\,x\right)}^{5/2}}{5\,c}-\frac{A\,\mathrm{atan}\left(\frac{\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}+\frac{A\,\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}+\frac{8\,A\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}}{b\,c^5}\right)\,\sqrt{d^5}}{b}\right)\,\sqrt{d^5}\,1{}\mathrm{i}}{b}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}-\frac{A\,\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}-\frac{8\,A\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}}{b\,c^5}\right)\,\sqrt{d^5}}{b}\right)\,\sqrt{d^5}\,1{}\mathrm{i}}{b}}{\frac{16\,\left(-A^3\,b^5\,c^2\,d^3\,e^8+6\,A^3\,b^4\,c^3\,d^4\,e^7-15\,A^3\,b^3\,c^4\,d^5\,e^6+19\,A^3\,b^2\,c^5\,d^6\,e^5-12\,A^3\,b\,c^6\,d^7\,e^4+3\,A^3\,c^7\,d^8\,e^3+2\,A^2\,B\,b^6\,c\,d^3\,e^8-12\,A^2\,B\,b^5\,c^2\,d^4\,e^7+30\,A^2\,B\,b^4\,c^3\,d^5\,e^6-39\,A^2\,B\,b^3\,c^4\,d^6\,e^5+27\,A^2\,B\,b^2\,c^5\,d^7\,e^4-9\,A^2\,B\,b\,c^6\,d^8\,e^3+A^2\,B\,c^7\,d^9\,e^2-A\,B^2\,b^7\,d^3\,e^8+6\,A\,B^2\,b^6\,c\,d^4\,e^7-15\,A\,B^2\,b^5\,c^2\,d^5\,e^6+20\,A\,B^2\,b^4\,c^3\,d^6\,e^5-15\,A\,B^2\,b^3\,c^4\,d^7\,e^4+6\,A\,B^2\,b^2\,c^5\,d^8\,e^3-A\,B^2\,b\,c^6\,d^9\,e^2\right)}{c^5}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}+\frac{A\,\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}+\frac{8\,A\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}}{b\,c^5}\right)\,\sqrt{d^5}}{b}\right)\,\sqrt{d^5}}{b}-\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}-\frac{A\,\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}-\frac{8\,A\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}}{b\,c^5}\right)\,\sqrt{d^5}}{b}\right)\,\sqrt{d^5}}{b}}\right)\,\sqrt{d^5}\,2{}\mathrm{i}}{b}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}+\frac{\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}+\frac{8\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{12}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)}{b\,c^7}\right)\,1{}\mathrm{i}}{b\,c^7}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}-\frac{\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}-\frac{8\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{12}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)}{b\,c^7}\right)\,1{}\mathrm{i}}{b\,c^7}}{\frac{16\,\left(-A^3\,b^5\,c^2\,d^3\,e^8+6\,A^3\,b^4\,c^3\,d^4\,e^7-15\,A^3\,b^3\,c^4\,d^5\,e^6+19\,A^3\,b^2\,c^5\,d^6\,e^5-12\,A^3\,b\,c^6\,d^7\,e^4+3\,A^3\,c^7\,d^8\,e^3+2\,A^2\,B\,b^6\,c\,d^3\,e^8-12\,A^2\,B\,b^5\,c^2\,d^4\,e^7+30\,A^2\,B\,b^4\,c^3\,d^5\,e^6-39\,A^2\,B\,b^3\,c^4\,d^6\,e^5+27\,A^2\,B\,b^2\,c^5\,d^7\,e^4-9\,A^2\,B\,b\,c^6\,d^8\,e^3+A^2\,B\,c^7\,d^9\,e^2-A\,B^2\,b^7\,d^3\,e^8+6\,A\,B^2\,b^6\,c\,d^4\,e^7-15\,A\,B^2\,b^5\,c^2\,d^5\,e^6+20\,A\,B^2\,b^4\,c^3\,d^6\,e^5-15\,A\,B^2\,b^3\,c^4\,d^7\,e^4+6\,A\,B^2\,b^2\,c^5\,d^8\,e^3-A\,B^2\,b\,c^6\,d^9\,e^2\right)}{c^5}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}+\frac{\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}+\frac{8\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{12}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)}{b\,c^7}\right)}{b\,c^7}-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8-6\,A^2\,b^5\,c^3\,d\,e^7+15\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+15\,A^2\,b^2\,c^6\,d^4\,e^4-6\,A^2\,b\,c^7\,d^5\,e^3+2\,A^2\,c^8\,d^6\,e^2-2\,A\,B\,b^7\,c\,e^8+12\,A\,B\,b^6\,c^2\,d\,e^7-30\,A\,B\,b^5\,c^3\,d^2\,e^6+40\,A\,B\,b^4\,c^4\,d^3\,e^5-30\,A\,B\,b^3\,c^5\,d^4\,e^4+12\,A\,B\,b^2\,c^6\,d^5\,e^3-2\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8-6\,B^2\,b^7\,c\,d\,e^7+15\,B^2\,b^6\,c^2\,d^2\,e^6-20\,B^2\,b^5\,c^3\,d^3\,e^5+15\,B^2\,b^4\,c^4\,d^4\,e^4-6\,B^2\,b^3\,c^5\,d^5\,e^3+B^2\,b^2\,c^6\,d^6\,e^2\right)}{c^5}-\frac{\left(\frac{8\,\left(-B\,b^5\,c^4\,d\,e^5+3\,B\,b^4\,c^5\,d^2\,e^4+A\,b^4\,c^5\,d\,e^5-3\,B\,b^3\,c^6\,d^3\,e^3-3\,A\,b^3\,c^6\,d^2\,e^4+B\,b^2\,c^7\,d^4\,e^2+2\,A\,b^2\,c^7\,d^3\,e^3\right)}{c^5}-\frac{8\,\left(b^3\,c^7\,e^3-2\,b^2\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^{12}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)}{b\,c^7}\right)}{b\,c^7}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,2{}\mathrm{i}}{b\,c^7}","Not used",1,"((2*A*e - 2*B*d)/(3*c) - (2*B*(b*e - 2*c*d))/(3*c^2))*(d + e*x)^(3/2) - (((b*e - 2*c*d)*((2*A*e - 2*B*d)/c - (2*B*(b*e - 2*c*d))/c^2))/c + (2*B*(c*d^2 - b*d*e))/c^2)*(d + e*x)^(1/2) + (2*B*(d + e*x)^(5/2))/(5*c) - (A*atan(((A*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 + (A*((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 + (8*A*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2))/(b*c^5))*(d^5)^(1/2))/b)*(d^5)^(1/2)*1i)/b + (A*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 - (A*((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 - (8*A*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2))/(b*c^5))*(d^5)^(1/2))/b)*(d^5)^(1/2)*1i)/b)/((16*(3*A^3*c^7*d^8*e^3 + 19*A^3*b^2*c^5*d^6*e^5 - 15*A^3*b^3*c^4*d^5*e^6 + 6*A^3*b^4*c^3*d^4*e^7 - A^3*b^5*c^2*d^3*e^8 - A*B^2*b^7*d^3*e^8 + A^2*B*c^7*d^9*e^2 - 12*A^3*b*c^6*d^7*e^4 + 6*A*B^2*b^2*c^5*d^8*e^3 - 15*A*B^2*b^3*c^4*d^7*e^4 + 20*A*B^2*b^4*c^3*d^6*e^5 - 15*A*B^2*b^5*c^2*d^5*e^6 + 27*A^2*B*b^2*c^5*d^7*e^4 - 39*A^2*B*b^3*c^4*d^6*e^5 + 30*A^2*B*b^4*c^3*d^5*e^6 - 12*A^2*B*b^5*c^2*d^4*e^7 - A*B^2*b*c^6*d^9*e^2 + 6*A*B^2*b^6*c*d^4*e^7 - 9*A^2*B*b*c^6*d^8*e^3 + 2*A^2*B*b^6*c*d^3*e^8))/c^5 + (A*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 + (A*((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 + (8*A*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2))/(b*c^5))*(d^5)^(1/2))/b)*(d^5)^(1/2))/b - (A*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 - (A*((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 - (8*A*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2))/(b*c^5))*(d^5)^(1/2))/b)*(d^5)^(1/2))/b))*(d^5)^(1/2)*2i)/b - (atan((((-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 + (((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 + (8*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^12))*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b))/(b*c^7))*1i)/(b*c^7) + ((-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 - (((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 - (8*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^12))*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b))/(b*c^7))*1i)/(b*c^7))/((16*(3*A^3*c^7*d^8*e^3 + 19*A^3*b^2*c^5*d^6*e^5 - 15*A^3*b^3*c^4*d^5*e^6 + 6*A^3*b^4*c^3*d^4*e^7 - A^3*b^5*c^2*d^3*e^8 - A*B^2*b^7*d^3*e^8 + A^2*B*c^7*d^9*e^2 - 12*A^3*b*c^6*d^7*e^4 + 6*A*B^2*b^2*c^5*d^8*e^3 - 15*A*B^2*b^3*c^4*d^7*e^4 + 20*A*B^2*b^4*c^3*d^6*e^5 - 15*A*B^2*b^5*c^2*d^5*e^6 + 27*A^2*B*b^2*c^5*d^7*e^4 - 39*A^2*B*b^3*c^4*d^6*e^5 + 30*A^2*B*b^4*c^3*d^5*e^6 - 12*A^2*B*b^5*c^2*d^4*e^7 - A*B^2*b*c^6*d^9*e^2 + 6*A*B^2*b^6*c*d^4*e^7 - 9*A^2*B*b*c^6*d^8*e^3 + 2*A^2*B*b^6*c*d^3*e^8))/c^5 + ((-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 + (((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 + (8*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^12))*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b))/(b*c^7)))/(b*c^7) - ((-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 2*A^2*c^8*d^6*e^2 + 15*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 + 15*A^2*b^4*c^4*d^2*e^6 + B^2*b^2*c^6*d^6*e^2 - 6*B^2*b^3*c^5*d^5*e^3 + 15*B^2*b^4*c^4*d^4*e^4 - 20*B^2*b^5*c^3*d^3*e^5 + 15*B^2*b^6*c^2*d^2*e^6 - 6*B^2*b^7*c*d*e^7 - 6*A^2*b*c^7*d^5*e^3 - 6*A^2*b^5*c^3*d*e^7 - 2*A*B*b^7*c*e^8 - 2*A*B*b*c^7*d^6*e^2 + 12*A*B*b^6*c^2*d*e^7 + 12*A*B*b^2*c^6*d^5*e^3 - 30*A*B*b^3*c^5*d^4*e^4 + 40*A*B*b^4*c^4*d^3*e^5 - 30*A*B*b^5*c^3*d^2*e^6))/c^5 - (((8*(A*b^4*c^5*d*e^5 - B*b^5*c^4*d*e^5 + 2*A*b^2*c^7*d^3*e^3 - 3*A*b^3*c^6*d^2*e^4 + B*b^2*c^7*d^4*e^2 - 3*B*b^3*c^6*d^3*e^3 + 3*B*b^4*c^5*d^2*e^4))/c^5 - (8*(b^3*c^7*e^3 - 2*b^2*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^12))*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b))/(b*c^7)))/(b*c^7)))*(-c^7*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*2i)/(b*c^7)","B"
1231,1,3810,131,0.586314,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2),x)","\left(\frac{2\,A\,e-2\,B\,d}{c}-\frac{2\,B\,\left(b\,e-2\,c\,d\right)}{c^2}\right)\,\sqrt{d+e\,x}+\frac{2\,B\,{\left(d+e\,x\right)}^{3/2}}{3\,c}-\frac{A\,\mathrm{atan}\left(\frac{\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}+\frac{A\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}+\frac{8\,A\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}}{b\,c^3}\right)\,\sqrt{d^3}}{b}\right)\,\sqrt{d^3}\,1{}\mathrm{i}}{b}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}-\frac{A\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}-\frac{8\,A\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}}{b\,c^3}\right)\,\sqrt{d^3}}{b}\right)\,\sqrt{d^3}\,1{}\mathrm{i}}{b}}{\frac{16\,\left(-A^3\,b^3\,c^2\,d^2\,e^6+4\,A^3\,b^2\,c^3\,d^3\,e^5-5\,A^3\,b\,c^4\,d^4\,e^4+2\,A^3\,c^5\,d^5\,e^3+2\,A^2\,B\,b^4\,c\,d^2\,e^6-8\,A^2\,B\,b^3\,c^2\,d^3\,e^5+11\,A^2\,B\,b^2\,c^3\,d^4\,e^4-6\,A^2\,B\,b\,c^4\,d^5\,e^3+A^2\,B\,c^5\,d^6\,e^2-A\,B^2\,b^5\,d^2\,e^6+4\,A\,B^2\,b^4\,c\,d^3\,e^5-6\,A\,B^2\,b^3\,c^2\,d^4\,e^4+4\,A\,B^2\,b^2\,c^3\,d^5\,e^3-A\,B^2\,b\,c^4\,d^6\,e^2\right)}{c^3}+\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}+\frac{A\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}+\frac{8\,A\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}}{b\,c^3}\right)\,\sqrt{d^3}}{b}\right)\,\sqrt{d^3}}{b}-\frac{A\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}-\frac{A\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}-\frac{8\,A\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}}{b\,c^3}\right)\,\sqrt{d^3}}{b}\right)\,\sqrt{d^3}}{b}}\right)\,\sqrt{d^3}\,2{}\mathrm{i}}{b}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}+\frac{8\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^8}\right)}{b\,c^5}\right)\,1{}\mathrm{i}}{b\,c^5}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}-\frac{8\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^8}\right)}{b\,c^5}\right)\,1{}\mathrm{i}}{b\,c^5}}{\frac{16\,\left(-A^3\,b^3\,c^2\,d^2\,e^6+4\,A^3\,b^2\,c^3\,d^3\,e^5-5\,A^3\,b\,c^4\,d^4\,e^4+2\,A^3\,c^5\,d^5\,e^3+2\,A^2\,B\,b^4\,c\,d^2\,e^6-8\,A^2\,B\,b^3\,c^2\,d^3\,e^5+11\,A^2\,B\,b^2\,c^3\,d^4\,e^4-6\,A^2\,B\,b\,c^4\,d^5\,e^3+A^2\,B\,c^5\,d^6\,e^2-A\,B^2\,b^5\,d^2\,e^6+4\,A\,B^2\,b^4\,c\,d^3\,e^5-6\,A\,B^2\,b^3\,c^2\,d^4\,e^4+4\,A\,B^2\,b^2\,c^3\,d^5\,e^3-A\,B^2\,b\,c^4\,d^6\,e^2\right)}{c^3}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}+\frac{8\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^8}\right)}{b\,c^5}\right)}{b\,c^5}-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-4\,A^2\,b^3\,c^3\,d\,e^5+6\,A^2\,b^2\,c^4\,d^2\,e^4-4\,A^2\,b\,c^5\,d^3\,e^3+2\,A^2\,c^6\,d^4\,e^2-2\,A\,B\,b^5\,c\,e^6+8\,A\,B\,b^4\,c^2\,d\,e^5-12\,A\,B\,b^3\,c^3\,d^2\,e^4+8\,A\,B\,b^2\,c^4\,d^3\,e^3-2\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6-4\,B^2\,b^5\,c\,d\,e^5+6\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+B^2\,b^2\,c^4\,d^4\,e^2\right)}{c^3}-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^4\,c^3\,d\,e^4-2\,B\,b^3\,c^4\,d^2\,e^3-A\,b^3\,c^4\,d\,e^4+B\,b^2\,c^5\,d^3\,e^2+A\,b^2\,c^5\,d^2\,e^3\right)}{c^3}-\frac{8\,\left(b^3\,c^5\,e^3-2\,b^2\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}}{b\,c^8}\right)}{b\,c^5}\right)}{b\,c^5}}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(A\,c-B\,b\right)\,2{}\mathrm{i}}{b\,c^5}","Not used",1,"((2*A*e - 2*B*d)/c - (2*B*(b*e - 2*c*d))/c^2)*(d + e*x)^(1/2) + (2*B*(d + e*x)^(3/2))/(3*c) - (A*atan(((A*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 + (A*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 + (8*A*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2))/(b*c^3))*(d^3)^(1/2))/b)*(d^3)^(1/2)*1i)/b + (A*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 - (A*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 - (8*A*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2))/(b*c^3))*(d^3)^(1/2))/b)*(d^3)^(1/2)*1i)/b)/((16*(2*A^3*c^5*d^5*e^3 + 4*A^3*b^2*c^3*d^3*e^5 - A^3*b^3*c^2*d^2*e^6 - A*B^2*b^5*d^2*e^6 + A^2*B*c^5*d^6*e^2 - 5*A^3*b*c^4*d^4*e^4 + 4*A*B^2*b^2*c^3*d^5*e^3 - 6*A*B^2*b^3*c^2*d^4*e^4 + 11*A^2*B*b^2*c^3*d^4*e^4 - 8*A^2*B*b^3*c^2*d^3*e^5 - A*B^2*b*c^4*d^6*e^2 + 4*A*B^2*b^4*c*d^3*e^5 - 6*A^2*B*b*c^4*d^5*e^3 + 2*A^2*B*b^4*c*d^2*e^6))/c^3 + (A*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 + (A*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 + (8*A*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2))/(b*c^3))*(d^3)^(1/2))/b)*(d^3)^(1/2))/b - (A*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 - (A*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 - (8*A*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2))/(b*c^3))*(d^3)^(1/2))/b)*(d^3)^(1/2))/b))*(d^3)^(1/2)*2i)/b - (atan((((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 + ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 + (8*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^8)))/(b*c^5))*1i)/(b*c^5) + ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 - ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 - (8*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^8)))/(b*c^5))*1i)/(b*c^5))/((16*(2*A^3*c^5*d^5*e^3 + 4*A^3*b^2*c^3*d^3*e^5 - A^3*b^3*c^2*d^2*e^6 - A*B^2*b^5*d^2*e^6 + A^2*B*c^5*d^6*e^2 - 5*A^3*b*c^4*d^4*e^4 + 4*A*B^2*b^2*c^3*d^5*e^3 - 6*A*B^2*b^3*c^2*d^4*e^4 + 11*A^2*B*b^2*c^3*d^4*e^4 - 8*A^2*B*b^3*c^2*d^3*e^5 - A*B^2*b*c^4*d^6*e^2 + 4*A*B^2*b^4*c*d^3*e^5 - 6*A^2*B*b*c^4*d^5*e^3 + 2*A^2*B*b^4*c*d^2*e^6))/c^3 + ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 + ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 + (8*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^8)))/(b*c^5)))/(b*c^5) - ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 2*A^2*c^6*d^4*e^2 + 6*A^2*b^2*c^4*d^2*e^4 + B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 + 6*B^2*b^4*c^2*d^2*e^4 - 4*B^2*b^5*c*d*e^5 - 4*A^2*b*c^5*d^3*e^3 - 4*A^2*b^3*c^3*d*e^5 - 2*A*B*b^5*c*e^6 - 2*A*B*b*c^5*d^4*e^2 + 8*A*B*b^4*c^2*d*e^5 + 8*A*B*b^2*c^4*d^3*e^3 - 12*A*B*b^3*c^3*d^2*e^4))/c^3 - ((-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*((8*(B*b^4*c^3*d*e^4 - A*b^3*c^4*d*e^4 + A*b^2*c^5*d^2*e^3 + B*b^2*c^5*d^3*e^2 - 2*B*b^3*c^4*d^2*e^3))/c^3 - (8*(b^3*c^5*e^3 - 2*b^2*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2))/(b*c^8)))/(b*c^5)))/(b*c^5)))*(-c^5*(b*e - c*d)^3)^(1/2)*(A*c - B*b)*2i)/(b*c^5)","B"
1232,1,2368,101,1.910091,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2),x)","\frac{2\,B\,\sqrt{d+e\,x}}{c}-\frac{A\,\sqrt{d}\,\mathrm{atan}\left(\frac{\frac{A\,\sqrt{d}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}+\frac{A\,\sqrt{d}\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}+\frac{8\,A\,\sqrt{d}\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}}{b\,c}\right)}{b}\right)\,1{}\mathrm{i}}{b}+\frac{A\,\sqrt{d}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}-\frac{A\,\sqrt{d}\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}-\frac{8\,A\,\sqrt{d}\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}}{b\,c}\right)}{b}\right)\,1{}\mathrm{i}}{b}}{\frac{16\,\left(-A^3\,b\,c^2\,d\,e^4+A^3\,c^3\,d^2\,e^3+2\,A^2\,B\,b^2\,c\,d\,e^4-3\,A^2\,B\,b\,c^2\,d^2\,e^3+A^2\,B\,c^3\,d^3\,e^2-A\,B^2\,b^3\,d\,e^4+2\,A\,B^2\,b^2\,c\,d^2\,e^3-A\,B^2\,b\,c^2\,d^3\,e^2\right)}{c}-\frac{A\,\sqrt{d}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}+\frac{A\,\sqrt{d}\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}+\frac{8\,A\,\sqrt{d}\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}}{b\,c}\right)}{b}\right)}{b}+\frac{A\,\sqrt{d}\,\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}-\frac{A\,\sqrt{d}\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}-\frac{8\,A\,\sqrt{d}\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}}{b\,c}\right)}{b}\right)}{b}}\right)\,2{}\mathrm{i}}{b}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}+\frac{\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}+\frac{8\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,1{}\mathrm{i}}{b\,c^3}+\frac{\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}-\frac{\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}-\frac{8\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,1{}\mathrm{i}}{b\,c^3}}{\frac{16\,\left(-A^3\,b\,c^2\,d\,e^4+A^3\,c^3\,d^2\,e^3+2\,A^2\,B\,b^2\,c\,d\,e^4-3\,A^2\,B\,b\,c^2\,d^2\,e^3+A^2\,B\,c^3\,d^3\,e^2-A\,B^2\,b^3\,d\,e^4+2\,A\,B^2\,b^2\,c\,d^2\,e^3-A\,B^2\,b\,c^2\,d^3\,e^2\right)}{c}-\frac{\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}+\frac{\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}+\frac{8\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}+\frac{\left(\frac{8\,\sqrt{d+e\,x}\,\left(A^2\,b^2\,c^2\,e^4-2\,A^2\,b\,c^3\,d\,e^3+2\,A^2\,c^4\,d^2\,e^2-2\,A\,B\,b^3\,c\,e^4+4\,A\,B\,b^2\,c^2\,d\,e^3-2\,A\,B\,b\,c^3\,d^2\,e^2+B^2\,b^4\,e^4-2\,B^2\,b^3\,c\,d\,e^3+B^2\,b^2\,c^2\,d^2\,e^2\right)}{c}-\frac{\left(A\,c-B\,b\right)\,\left(\frac{8\,\left(B\,b^3\,c^2\,d\,e^3-B\,b^2\,c^3\,d^2\,e^2\right)}{c}-\frac{8\,\left(b^3\,c^3\,e^3-2\,b^2\,c^4\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}}{b\,c^3}}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,2{}\mathrm{i}}{b\,c^3}","Not used",1,"(2*B*(d + e*x)^(1/2))/c - (A*d^(1/2)*atan(((A*d^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c + (A*d^(1/2)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c + (8*A*d^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(d + e*x)^(1/2))/(b*c)))/b)*1i)/b + (A*d^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c - (A*d^(1/2)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c - (8*A*d^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(d + e*x)^(1/2))/(b*c)))/b)*1i)/b)/((16*(A^3*c^3*d^2*e^3 - A*B^2*b^3*d*e^4 - A^3*b*c^2*d*e^4 + A^2*B*c^3*d^3*e^2 + 2*A^2*B*b^2*c*d*e^4 - A*B^2*b*c^2*d^3*e^2 + 2*A*B^2*b^2*c*d^2*e^3 - 3*A^2*B*b*c^2*d^2*e^3))/c - (A*d^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c + (A*d^(1/2)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c + (8*A*d^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(d + e*x)^(1/2))/(b*c)))/b))/b + (A*d^(1/2)*((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c - (A*d^(1/2)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c - (8*A*d^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(d + e*x)^(1/2))/(b*c)))/b))/b))*2i)/b - (atan(((((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c + ((A*c - B*b)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c + (8*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^4))*(-c^3*(b*e - c*d))^(1/2))/(b*c^3))*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*1i)/(b*c^3) + (((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c - ((A*c - B*b)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c - (8*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^4))*(-c^3*(b*e - c*d))^(1/2))/(b*c^3))*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*1i)/(b*c^3))/((16*(A^3*c^3*d^2*e^3 - A*B^2*b^3*d*e^4 - A^3*b*c^2*d*e^4 + A^2*B*c^3*d^3*e^2 + 2*A^2*B*b^2*c*d*e^4 - A*B^2*b*c^2*d^3*e^2 + 2*A*B^2*b^2*c*d^2*e^3 - 3*A^2*B*b*c^2*d^2*e^3))/c - (((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c + ((A*c - B*b)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c + (8*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^4))*(-c^3*(b*e - c*d))^(1/2))/(b*c^3))*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2))/(b*c^3) + (((8*(d + e*x)^(1/2)*(B^2*b^4*e^4 + A^2*b^2*c^2*e^4 + 2*A^2*c^4*d^2*e^2 + B^2*b^2*c^2*d^2*e^2 - 2*A^2*b*c^3*d*e^3 - 2*B^2*b^3*c*d*e^3 - 2*A*B*b^3*c*e^4 - 2*A*B*b*c^3*d^2*e^2 + 4*A*B*b^2*c^2*d*e^3))/c - ((A*c - B*b)*((8*(B*b^3*c^2*d*e^3 - B*b^2*c^3*d^2*e^2))/c - (8*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2)*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^4))*(-c^3*(b*e - c*d))^(1/2))/(b*c^3))*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2))/(b*c^3)))*(A*c - B*b)*(-c^3*(b*e - c*d))^(1/2)*2i)/(b*c^3)","B"
1233,1,1130,86,1.917592,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^(1/2)),x)","-\frac{2\,A\,\mathrm{atanh}\left(\frac{16\,A^3\,c^2\,e^3\,\sqrt{d+e\,x}}{d^{3/2}\,\left(\frac{16\,A^3\,c^2\,e^3}{d}-32\,A^2\,B\,c^2\,e^2+16\,A\,B^2\,b\,c\,e^2\right)}-\frac{32\,A^2\,B\,c^2\,e^2\,\sqrt{d+e\,x}}{\sqrt{d}\,\left(\frac{16\,A^3\,c^2\,e^3}{d}-32\,A^2\,B\,c^2\,e^2+16\,A\,B^2\,b\,c\,e^2\right)}+\frac{16\,A\,B^2\,b\,c\,e^2\,\sqrt{d+e\,x}}{\sqrt{d}\,\left(\frac{16\,A^3\,c^2\,e^3}{d}-32\,A^2\,B\,c^2\,e^2+16\,A\,B^2\,b\,c\,e^2\right)}\right)}{b\,\sqrt{d}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,c^3\,e^2-16\,A\,B\,b\,c^2\,e^2+8\,B^2\,b^2\,c\,e^2\right)+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(8\,B\,b^2\,c^2\,d\,e^2-8\,A\,b^2\,c^2\,e^3+\frac{\left(8\,b^3\,c^2\,e^3-16\,b^2\,c^3\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^2\,d-b^2\,c\,e}\right)}{b\,c^2\,d-b^2\,c\,e}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,1{}\mathrm{i}}{b\,c^2\,d-b^2\,c\,e}+\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,c^3\,e^2-16\,A\,B\,b\,c^2\,e^2+8\,B^2\,b^2\,c\,e^2\right)+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(8\,A\,b^2\,c^2\,e^3-8\,B\,b^2\,c^2\,d\,e^2+\frac{\left(8\,b^3\,c^2\,e^3-16\,b^2\,c^3\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^2\,d-b^2\,c\,e}\right)}{b\,c^2\,d-b^2\,c\,e}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,1{}\mathrm{i}}{b\,c^2\,d-b^2\,c\,e}}{\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,c^3\,e^2-16\,A\,B\,b\,c^2\,e^2+8\,B^2\,b^2\,c\,e^2\right)+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(8\,B\,b^2\,c^2\,d\,e^2-8\,A\,b^2\,c^2\,e^3+\frac{\left(8\,b^3\,c^2\,e^3-16\,b^2\,c^3\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^2\,d-b^2\,c\,e}\right)}{b\,c^2\,d-b^2\,c\,e}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}}{b\,c^2\,d-b^2\,c\,e}-\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,c^3\,e^2-16\,A\,B\,b\,c^2\,e^2+8\,B^2\,b^2\,c\,e^2\right)+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(8\,A\,b^2\,c^2\,e^3-8\,B\,b^2\,c^2\,d\,e^2+\frac{\left(8\,b^3\,c^2\,e^3-16\,b^2\,c^3\,d\,e^2\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}}{b\,c^2\,d-b^2\,c\,e}\right)}{b\,c^2\,d-b^2\,c\,e}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}}{b\,c^2\,d-b^2\,c\,e}+16\,A^2\,B\,c^2\,e^2-16\,A\,B^2\,b\,c\,e^2}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,2{}\mathrm{i}}{b\,c^2\,d-b^2\,c\,e}","Not used",1,"- (2*A*atanh((16*A^3*c^2*e^3*(d + e*x)^(1/2))/(d^(3/2)*((16*A^3*c^2*e^3)/d - 32*A^2*B*c^2*e^2 + 16*A*B^2*b*c*e^2)) - (32*A^2*B*c^2*e^2*(d + e*x)^(1/2))/(d^(1/2)*((16*A^3*c^2*e^3)/d - 32*A^2*B*c^2*e^2 + 16*A*B^2*b*c*e^2)) + (16*A*B^2*b*c*e^2*(d + e*x)^(1/2))/(d^(1/2)*((16*A^3*c^2*e^3)/d - 32*A^2*B*c^2*e^2 + 16*A*B^2*b*c*e^2))))/(b*d^(1/2)) - (atan(((((d + e*x)^(1/2)*(16*A^2*c^3*e^2 + 8*B^2*b^2*c*e^2 - 16*A*B*b*c^2*e^2) + ((A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(8*B*b^2*c^2*d*e^2 - 8*A*b^2*c^2*e^3 + ((8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2)*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^2*d - b^2*c*e)))/(b*c^2*d - b^2*c*e))*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*1i)/(b*c^2*d - b^2*c*e) + (((d + e*x)^(1/2)*(16*A^2*c^3*e^2 + 8*B^2*b^2*c*e^2 - 16*A*B*b*c^2*e^2) + ((A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(8*A*b^2*c^2*e^3 - 8*B*b^2*c^2*d*e^2 + ((8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2)*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^2*d - b^2*c*e)))/(b*c^2*d - b^2*c*e))*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*1i)/(b*c^2*d - b^2*c*e))/((((d + e*x)^(1/2)*(16*A^2*c^3*e^2 + 8*B^2*b^2*c*e^2 - 16*A*B*b*c^2*e^2) + ((A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(8*B*b^2*c^2*d*e^2 - 8*A*b^2*c^2*e^3 + ((8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2)*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^2*d - b^2*c*e)))/(b*c^2*d - b^2*c*e))*(A*c - B*b)*(-c*(b*e - c*d))^(1/2))/(b*c^2*d - b^2*c*e) - (((d + e*x)^(1/2)*(16*A^2*c^3*e^2 + 8*B^2*b^2*c*e^2 - 16*A*B*b*c^2*e^2) + ((A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(8*A*b^2*c^2*e^3 - 8*B*b^2*c^2*d*e^2 + ((8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2)*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2))/(b*c^2*d - b^2*c*e)))/(b*c^2*d - b^2*c*e))*(A*c - B*b)*(-c*(b*e - c*d))^(1/2))/(b*c^2*d - b^2*c*e) + 16*A^2*B*c^2*e^2 - 16*A*B^2*b*c*e^2))*(A*c - B*b)*(-c*(b*e - c*d))^(1/2)*2i)/(b*c^2*d - b^2*c*e)","B"
1234,1,3674,118,3.123166,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^(3/2)),x)","-\frac{2\,\left(A\,e-B\,d\right)}{\left(c\,d^2-b\,d\,e\right)\,\sqrt{d+e\,x}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^5\,c^3\,d^3\,e^7+40\,A^2\,b^4\,c^4\,d^4\,e^6-88\,A^2\,b^3\,c^5\,d^5\,e^5+104\,A^2\,b^2\,c^6\,d^6\,e^4-64\,A^2\,b\,c^7\,d^7\,e^3+16\,A^2\,c^8\,d^8\,e^2+16\,A\,B\,b^4\,c^4\,d^5\,e^5-48\,A\,B\,b^3\,c^5\,d^6\,e^4+48\,A\,B\,b^2\,c^6\,d^7\,e^3-16\,A\,B\,b\,c^7\,d^8\,e^2-8\,B^2\,b^5\,c^3\,d^5\,e^5+24\,B^2\,b^4\,c^4\,d^6\,e^4-24\,B^2\,b^3\,c^5\,d^7\,e^3+8\,B^2\,b^2\,c^6\,d^8\,e^2\right)-\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(8\,b^8\,c^2\,d^5\,e^8-56\,b^7\,c^3\,d^6\,e^7+160\,b^6\,c^4\,d^7\,e^6-240\,b^5\,c^5\,d^8\,e^5+200\,b^4\,c^6\,d^9\,e^4-88\,b^3\,c^7\,d^{10}\,e^3+16\,b^2\,c^8\,d^{11}\,e^2\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}-16\,A\,b^2\,c^7\,d^9\,e^3+72\,A\,b^3\,c^6\,d^8\,e^4-128\,A\,b^4\,c^5\,d^7\,e^5+112\,A\,b^5\,c^4\,d^6\,e^6-48\,A\,b^6\,c^3\,d^5\,e^7+8\,A\,b^7\,c^2\,d^4\,e^8+8\,B\,b^2\,c^7\,d^{10}\,e^2-32\,B\,b^3\,c^6\,d^9\,e^3+48\,B\,b^4\,c^5\,d^8\,e^4-32\,B\,b^5\,c^4\,d^7\,e^5+8\,B\,b^6\,c^3\,d^6\,e^6\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}\right)\,1{}\mathrm{i}}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^5\,c^3\,d^3\,e^7+40\,A^2\,b^4\,c^4\,d^4\,e^6-88\,A^2\,b^3\,c^5\,d^5\,e^5+104\,A^2\,b^2\,c^6\,d^6\,e^4-64\,A^2\,b\,c^7\,d^7\,e^3+16\,A^2\,c^8\,d^8\,e^2+16\,A\,B\,b^4\,c^4\,d^5\,e^5-48\,A\,B\,b^3\,c^5\,d^6\,e^4+48\,A\,B\,b^2\,c^6\,d^7\,e^3-16\,A\,B\,b\,c^7\,d^8\,e^2-8\,B^2\,b^5\,c^3\,d^5\,e^5+24\,B^2\,b^4\,c^4\,d^6\,e^4-24\,B^2\,b^3\,c^5\,d^7\,e^3+8\,B^2\,b^2\,c^6\,d^8\,e^2\right)-\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(8\,b^8\,c^2\,d^5\,e^8-56\,b^7\,c^3\,d^6\,e^7+160\,b^6\,c^4\,d^7\,e^6-240\,b^5\,c^5\,d^8\,e^5+200\,b^4\,c^6\,d^9\,e^4-88\,b^3\,c^7\,d^{10}\,e^3+16\,b^2\,c^8\,d^{11}\,e^2\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+16\,A\,b^2\,c^7\,d^9\,e^3-72\,A\,b^3\,c^6\,d^8\,e^4+128\,A\,b^4\,c^5\,d^7\,e^5-112\,A\,b^5\,c^4\,d^6\,e^6+48\,A\,b^6\,c^3\,d^5\,e^7-8\,A\,b^7\,c^2\,d^4\,e^8-8\,B\,b^2\,c^7\,d^{10}\,e^2+32\,B\,b^3\,c^6\,d^9\,e^3-48\,B\,b^4\,c^5\,d^8\,e^4+32\,B\,b^5\,c^4\,d^7\,e^5-8\,B\,b^6\,c^3\,d^6\,e^6\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}\right)\,1{}\mathrm{i}}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}}{16\,A^3\,c^7\,d^6\,e^3+\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^5\,c^3\,d^3\,e^7+40\,A^2\,b^4\,c^4\,d^4\,e^6-88\,A^2\,b^3\,c^5\,d^5\,e^5+104\,A^2\,b^2\,c^6\,d^6\,e^4-64\,A^2\,b\,c^7\,d^7\,e^3+16\,A^2\,c^8\,d^8\,e^2+16\,A\,B\,b^4\,c^4\,d^5\,e^5-48\,A\,B\,b^3\,c^5\,d^6\,e^4+48\,A\,B\,b^2\,c^6\,d^7\,e^3-16\,A\,B\,b\,c^7\,d^8\,e^2-8\,B^2\,b^5\,c^3\,d^5\,e^5+24\,B^2\,b^4\,c^4\,d^6\,e^4-24\,B^2\,b^3\,c^5\,d^7\,e^3+8\,B^2\,b^2\,c^6\,d^8\,e^2\right)-\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(8\,b^8\,c^2\,d^5\,e^8-56\,b^7\,c^3\,d^6\,e^7+160\,b^6\,c^4\,d^7\,e^6-240\,b^5\,c^5\,d^8\,e^5+200\,b^4\,c^6\,d^9\,e^4-88\,b^3\,c^7\,d^{10}\,e^3+16\,b^2\,c^8\,d^{11}\,e^2\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}-16\,A\,b^2\,c^7\,d^9\,e^3+72\,A\,b^3\,c^6\,d^8\,e^4-128\,A\,b^4\,c^5\,d^7\,e^5+112\,A\,b^5\,c^4\,d^6\,e^6-48\,A\,b^6\,c^3\,d^5\,e^7+8\,A\,b^7\,c^2\,d^4\,e^8+8\,B\,b^2\,c^7\,d^{10}\,e^2-32\,B\,b^3\,c^6\,d^9\,e^3+48\,B\,b^4\,c^5\,d^8\,e^4-32\,B\,b^5\,c^4\,d^7\,e^5+8\,B\,b^6\,c^3\,d^6\,e^6\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}-\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^5\,c^3\,d^3\,e^7+40\,A^2\,b^4\,c^4\,d^4\,e^6-88\,A^2\,b^3\,c^5\,d^5\,e^5+104\,A^2\,b^2\,c^6\,d^6\,e^4-64\,A^2\,b\,c^7\,d^7\,e^3+16\,A^2\,c^8\,d^8\,e^2+16\,A\,B\,b^4\,c^4\,d^5\,e^5-48\,A\,B\,b^3\,c^5\,d^6\,e^4+48\,A\,B\,b^2\,c^6\,d^7\,e^3-16\,A\,B\,b\,c^7\,d^8\,e^2-8\,B^2\,b^5\,c^3\,d^5\,e^5+24\,B^2\,b^4\,c^4\,d^6\,e^4-24\,B^2\,b^3\,c^5\,d^7\,e^3+8\,B^2\,b^2\,c^6\,d^8\,e^2\right)-\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(8\,b^8\,c^2\,d^5\,e^8-56\,b^7\,c^3\,d^6\,e^7+160\,b^6\,c^4\,d^7\,e^6-240\,b^5\,c^5\,d^8\,e^5+200\,b^4\,c^6\,d^9\,e^4-88\,b^3\,c^7\,d^{10}\,e^3+16\,b^2\,c^8\,d^{11}\,e^2\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+16\,A\,b^2\,c^7\,d^9\,e^3-72\,A\,b^3\,c^6\,d^8\,e^4+128\,A\,b^4\,c^5\,d^7\,e^5-112\,A\,b^5\,c^4\,d^6\,e^6+48\,A\,b^6\,c^3\,d^5\,e^7-8\,A\,b^7\,c^2\,d^4\,e^8-8\,B\,b^2\,c^7\,d^{10}\,e^2+32\,B\,b^3\,c^6\,d^9\,e^3-48\,B\,b^4\,c^5\,d^8\,e^4+32\,B\,b^5\,c^4\,d^7\,e^5-8\,B\,b^6\,c^3\,d^6\,e^6\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}\right)}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+48\,A^3\,b^2\,c^5\,d^4\,e^5-16\,A^3\,b^3\,c^4\,d^3\,e^6-16\,A^2\,B\,c^7\,d^7\,e^2-48\,A^3\,b\,c^6\,d^5\,e^4-48\,A\,B^2\,b^2\,c^5\,d^6\,e^3+48\,A\,B^2\,b^3\,c^4\,d^5\,e^4-16\,A\,B^2\,b^4\,c^3\,d^4\,e^5-32\,A^2\,B\,b^3\,c^4\,d^4\,e^5+16\,A^2\,B\,b^4\,c^3\,d^3\,e^6+16\,A\,B^2\,b\,c^6\,d^7\,e^2+32\,A^2\,B\,b\,c^6\,d^6\,e^3}\right)\,\left(A\,c-B\,b\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,2{}\mathrm{i}}{b^4\,e^3-3\,b^3\,c\,d\,e^2+3\,b^2\,c^2\,d^2\,e-b\,c^3\,d^3}+\frac{A\,\mathrm{atan}\left(\frac{B^2\,b^2\,c^4\,d^{11}\,\sqrt{d+e\,x}\,1{}\mathrm{i}-A^2\,b^6\,d^5\,e^6\,\sqrt{d+e\,x}\,1{}\mathrm{i}+A^2\,b^5\,c\,d^6\,e^5\,\sqrt{d+e\,x}\,6{}\mathrm{i}-B^2\,b^3\,c^3\,d^{10}\,e\,\sqrt{d+e\,x}\,3{}\mathrm{i}-B^2\,b^5\,c\,d^8\,e^3\,\sqrt{d+e\,x}\,1{}\mathrm{i}-A\,B\,b\,c^5\,d^{11}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-A^2\,b^2\,c^4\,d^9\,e^2\,\sqrt{d+e\,x}\,12{}\mathrm{i}+A^2\,b^3\,c^3\,d^8\,e^3\,\sqrt{d+e\,x}\,19{}\mathrm{i}-A^2\,b^4\,c^2\,d^7\,e^4\,\sqrt{d+e\,x}\,15{}\mathrm{i}+B^2\,b^4\,c^2\,d^9\,e^2\,\sqrt{d+e\,x}\,3{}\mathrm{i}+A^2\,b\,c^5\,d^{10}\,e\,\sqrt{d+e\,x}\,3{}\mathrm{i}-A\,B\,b^3\,c^3\,d^9\,e^2\,\sqrt{d+e\,x}\,6{}\mathrm{i}+A\,B\,b^4\,c^2\,d^8\,e^3\,\sqrt{d+e\,x}\,2{}\mathrm{i}+A\,B\,b^2\,c^4\,d^{10}\,e\,\sqrt{d+e\,x}\,6{}\mathrm{i}}{d^3\,\sqrt{d^3}\,\left(d^3\,\left(d^3\,\left(3\,e\,A^2\,b\,c^5+6\,e\,A\,B\,b^2\,c^4-2\,d\,A\,B\,b\,c^5-3\,e\,B^2\,b^3\,c^3+d\,B^2\,b^2\,c^4\right)-15\,A^2\,b^4\,c^2\,e^4-12\,A^2\,b^2\,c^4\,d^2\,e^2+3\,B^2\,b^4\,c^2\,d^2\,e^2-B^2\,b^5\,c\,d\,e^3+19\,A^2\,b^3\,c^3\,d\,e^3+2\,A\,B\,b^4\,c^2\,d\,e^3-6\,A\,B\,b^3\,c^3\,d^2\,e^2\right)-A^2\,b^6\,d\,e^6+6\,A^2\,b^5\,c\,d^2\,e^5\right)}\right)\,2{}\mathrm{i}}{b\,\sqrt{d^3}}","Not used",1,"(atan((((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*((d + e*x)^(1/2)*(16*A^2*c^8*d^8*e^2 + 104*A^2*b^2*c^6*d^6*e^4 - 88*A^2*b^3*c^5*d^5*e^5 + 40*A^2*b^4*c^4*d^4*e^6 - 8*A^2*b^5*c^3*d^3*e^7 + 8*B^2*b^2*c^6*d^8*e^2 - 24*B^2*b^3*c^5*d^7*e^3 + 24*B^2*b^4*c^4*d^6*e^4 - 8*B^2*b^5*c^3*d^5*e^5 - 64*A^2*b*c^7*d^7*e^3 - 16*A*B*b*c^7*d^8*e^2 + 48*A*B*b^2*c^6*d^7*e^3 - 48*A*B*b^3*c^5*d^6*e^4 + 16*A*B*b^4*c^4*d^5*e^5) - ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(16*b^2*c^8*d^11*e^2 - 88*b^3*c^7*d^10*e^3 + 200*b^4*c^6*d^9*e^4 - 240*b^5*c^5*d^8*e^5 + 160*b^6*c^4*d^7*e^6 - 56*b^7*c^3*d^6*e^7 + 8*b^8*c^2*d^5*e^8))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) - 16*A*b^2*c^7*d^9*e^3 + 72*A*b^3*c^6*d^8*e^4 - 128*A*b^4*c^5*d^7*e^5 + 112*A*b^5*c^4*d^6*e^6 - 48*A*b^6*c^3*d^5*e^7 + 8*A*b^7*c^2*d^4*e^8 + 8*B*b^2*c^7*d^10*e^2 - 32*B*b^3*c^6*d^9*e^3 + 48*B*b^4*c^5*d^8*e^4 - 32*B*b^5*c^4*d^7*e^5 + 8*B*b^6*c^3*d^6*e^6))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2))*1i)/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) + ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*((d + e*x)^(1/2)*(16*A^2*c^8*d^8*e^2 + 104*A^2*b^2*c^6*d^6*e^4 - 88*A^2*b^3*c^5*d^5*e^5 + 40*A^2*b^4*c^4*d^4*e^6 - 8*A^2*b^5*c^3*d^3*e^7 + 8*B^2*b^2*c^6*d^8*e^2 - 24*B^2*b^3*c^5*d^7*e^3 + 24*B^2*b^4*c^4*d^6*e^4 - 8*B^2*b^5*c^3*d^5*e^5 - 64*A^2*b*c^7*d^7*e^3 - 16*A*B*b*c^7*d^8*e^2 + 48*A*B*b^2*c^6*d^7*e^3 - 48*A*B*b^3*c^5*d^6*e^4 + 16*A*B*b^4*c^4*d^5*e^5) - ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(16*b^2*c^8*d^11*e^2 - 88*b^3*c^7*d^10*e^3 + 200*b^4*c^6*d^9*e^4 - 240*b^5*c^5*d^8*e^5 + 160*b^6*c^4*d^7*e^6 - 56*b^7*c^3*d^6*e^7 + 8*b^8*c^2*d^5*e^8))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) + 16*A*b^2*c^7*d^9*e^3 - 72*A*b^3*c^6*d^8*e^4 + 128*A*b^4*c^5*d^7*e^5 - 112*A*b^5*c^4*d^6*e^6 + 48*A*b^6*c^3*d^5*e^7 - 8*A*b^7*c^2*d^4*e^8 - 8*B*b^2*c^7*d^10*e^2 + 32*B*b^3*c^6*d^9*e^3 - 48*B*b^4*c^5*d^8*e^4 + 32*B*b^5*c^4*d^7*e^5 - 8*B*b^6*c^3*d^6*e^6))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2))*1i)/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2))/(16*A^3*c^7*d^6*e^3 + ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*((d + e*x)^(1/2)*(16*A^2*c^8*d^8*e^2 + 104*A^2*b^2*c^6*d^6*e^4 - 88*A^2*b^3*c^5*d^5*e^5 + 40*A^2*b^4*c^4*d^4*e^6 - 8*A^2*b^5*c^3*d^3*e^7 + 8*B^2*b^2*c^6*d^8*e^2 - 24*B^2*b^3*c^5*d^7*e^3 + 24*B^2*b^4*c^4*d^6*e^4 - 8*B^2*b^5*c^3*d^5*e^5 - 64*A^2*b*c^7*d^7*e^3 - 16*A*B*b*c^7*d^8*e^2 + 48*A*B*b^2*c^6*d^7*e^3 - 48*A*B*b^3*c^5*d^6*e^4 + 16*A*B*b^4*c^4*d^5*e^5) - ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(16*b^2*c^8*d^11*e^2 - 88*b^3*c^7*d^10*e^3 + 200*b^4*c^6*d^9*e^4 - 240*b^5*c^5*d^8*e^5 + 160*b^6*c^4*d^7*e^6 - 56*b^7*c^3*d^6*e^7 + 8*b^8*c^2*d^5*e^8))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) - 16*A*b^2*c^7*d^9*e^3 + 72*A*b^3*c^6*d^8*e^4 - 128*A*b^4*c^5*d^7*e^5 + 112*A*b^5*c^4*d^6*e^6 - 48*A*b^6*c^3*d^5*e^7 + 8*A*b^7*c^2*d^4*e^8 + 8*B*b^2*c^7*d^10*e^2 - 32*B*b^3*c^6*d^9*e^3 + 48*B*b^4*c^5*d^8*e^4 - 32*B*b^5*c^4*d^7*e^5 + 8*B*b^6*c^3*d^6*e^6))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2)))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) - ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*((d + e*x)^(1/2)*(16*A^2*c^8*d^8*e^2 + 104*A^2*b^2*c^6*d^6*e^4 - 88*A^2*b^3*c^5*d^5*e^5 + 40*A^2*b^4*c^4*d^4*e^6 - 8*A^2*b^5*c^3*d^3*e^7 + 8*B^2*b^2*c^6*d^8*e^2 - 24*B^2*b^3*c^5*d^7*e^3 + 24*B^2*b^4*c^4*d^6*e^4 - 8*B^2*b^5*c^3*d^5*e^5 - 64*A^2*b*c^7*d^7*e^3 - 16*A*B*b*c^7*d^8*e^2 + 48*A*B*b^2*c^6*d^7*e^3 - 48*A*B*b^3*c^5*d^6*e^4 + 16*A*B*b^4*c^4*d^5*e^5) - ((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(((A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(16*b^2*c^8*d^11*e^2 - 88*b^3*c^7*d^10*e^3 + 200*b^4*c^6*d^9*e^4 - 240*b^5*c^5*d^8*e^5 + 160*b^6*c^4*d^7*e^6 - 56*b^7*c^3*d^6*e^7 + 8*b^8*c^2*d^5*e^8))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) + 16*A*b^2*c^7*d^9*e^3 - 72*A*b^3*c^6*d^8*e^4 + 128*A*b^4*c^5*d^7*e^5 - 112*A*b^5*c^4*d^6*e^6 + 48*A*b^6*c^3*d^5*e^7 - 8*A*b^7*c^2*d^4*e^8 - 8*B*b^2*c^7*d^10*e^2 + 32*B*b^3*c^6*d^9*e^3 - 48*B*b^4*c^5*d^8*e^4 + 32*B*b^5*c^4*d^7*e^5 - 8*B*b^6*c^3*d^6*e^6))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2)))/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) + 48*A^3*b^2*c^5*d^4*e^5 - 16*A^3*b^3*c^4*d^3*e^6 - 16*A^2*B*c^7*d^7*e^2 - 48*A^3*b*c^6*d^5*e^4 - 48*A*B^2*b^2*c^5*d^6*e^3 + 48*A*B^2*b^3*c^4*d^5*e^4 - 16*A*B^2*b^4*c^3*d^4*e^5 - 32*A^2*B*b^3*c^4*d^4*e^5 + 16*A^2*B*b^4*c^3*d^3*e^6 + 16*A*B^2*b*c^6*d^7*e^2 + 32*A^2*B*b*c^6*d^6*e^3))*(A*c - B*b)*(-c*(b*e - c*d)^3)^(1/2)*2i)/(b^4*e^3 - b*c^3*d^3 + 3*b^2*c^2*d^2*e - 3*b^3*c*d*e^2) - (2*(A*e - B*d))/((c*d^2 - b*d*e)*(d + e*x)^(1/2)) + (A*atan((B^2*b^2*c^4*d^11*(d + e*x)^(1/2)*1i - A^2*b^6*d^5*e^6*(d + e*x)^(1/2)*1i + A^2*b^5*c*d^6*e^5*(d + e*x)^(1/2)*6i - B^2*b^3*c^3*d^10*e*(d + e*x)^(1/2)*3i - B^2*b^5*c*d^8*e^3*(d + e*x)^(1/2)*1i - A*B*b*c^5*d^11*(d + e*x)^(1/2)*2i - A^2*b^2*c^4*d^9*e^2*(d + e*x)^(1/2)*12i + A^2*b^3*c^3*d^8*e^3*(d + e*x)^(1/2)*19i - A^2*b^4*c^2*d^7*e^4*(d + e*x)^(1/2)*15i + B^2*b^4*c^2*d^9*e^2*(d + e*x)^(1/2)*3i + A^2*b*c^5*d^10*e*(d + e*x)^(1/2)*3i - A*B*b^3*c^3*d^9*e^2*(d + e*x)^(1/2)*6i + A*B*b^4*c^2*d^8*e^3*(d + e*x)^(1/2)*2i + A*B*b^2*c^4*d^10*e*(d + e*x)^(1/2)*6i)/(d^3*(d^3)^(1/2)*(d^3*(d^3*(3*A^2*b*c^5*e + B^2*b^2*c^4*d - 3*B^2*b^3*c^3*e - 2*A*B*b*c^5*d + 6*A*B*b^2*c^4*e) - 15*A^2*b^4*c^2*e^4 - 12*A^2*b^2*c^4*d^2*e^2 + 3*B^2*b^4*c^2*d^2*e^2 - B^2*b^5*c*d*e^3 + 19*A^2*b^3*c^3*d*e^3 + 2*A*B*b^4*c^2*d*e^3 - 6*A*B*b^3*c^3*d^2*e^2) - A^2*b^6*d*e^6 + 6*A^2*b^5*c*d^2*e^5)))*2i)/(b*(d^3)^(1/2))","B"
1235,1,6340,164,3.918077,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^(5/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{3\,\left(c\,d^2-b\,d\,e\right)}-\frac{2\,\left(d+e\,x\right)\,\left(B\,c\,d^2-2\,A\,c\,d\,e+A\,b\,e^2\right)}{{\left(c\,d^2-b\,d\,e\right)}^2}}{{\left(d+e\,x\right)}^{3/2}}-\frac{A\,\mathrm{atan}\left(\frac{B^2\,b^2\,c^9\,d^{21}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+A^2\,b^{11}\,d^{10}\,e^{11}\,\sqrt{d+e\,x}\,1{}\mathrm{i}-A^2\,b^{10}\,c\,d^{11}\,e^{10}\,\sqrt{d+e\,x}\,11{}\mathrm{i}-B^2\,b^3\,c^8\,d^{20}\,e\,\sqrt{d+e\,x}\,6{}\mathrm{i}-A\,B\,b\,c^{10}\,d^{21}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-A^2\,b^2\,c^9\,d^{19}\,e^2\,\sqrt{d+e\,x}\,40{}\mathrm{i}+A^2\,b^3\,c^8\,d^{18}\,e^3\,\sqrt{d+e\,x}\,145{}\mathrm{i}-A^2\,b^4\,c^7\,d^{17}\,e^4\,\sqrt{d+e\,x}\,315{}\mathrm{i}+A^2\,b^5\,c^6\,d^{16}\,e^5\,\sqrt{d+e\,x}\,456{}\mathrm{i}-A^2\,b^6\,c^5\,d^{15}\,e^6\,\sqrt{d+e\,x}\,461{}\mathrm{i}+A^2\,b^7\,c^4\,d^{14}\,e^7\,\sqrt{d+e\,x}\,330{}\mathrm{i}-A^2\,b^8\,c^3\,d^{13}\,e^8\,\sqrt{d+e\,x}\,165{}\mathrm{i}+A^2\,b^9\,c^2\,d^{12}\,e^9\,\sqrt{d+e\,x}\,55{}\mathrm{i}+B^2\,b^4\,c^7\,d^{19}\,e^2\,\sqrt{d+e\,x}\,15{}\mathrm{i}-B^2\,b^5\,c^6\,d^{18}\,e^3\,\sqrt{d+e\,x}\,20{}\mathrm{i}+B^2\,b^6\,c^5\,d^{17}\,e^4\,\sqrt{d+e\,x}\,15{}\mathrm{i}-B^2\,b^7\,c^4\,d^{16}\,e^5\,\sqrt{d+e\,x}\,6{}\mathrm{i}+B^2\,b^8\,c^3\,d^{15}\,e^6\,\sqrt{d+e\,x}\,1{}\mathrm{i}+A^2\,b\,c^{10}\,d^{20}\,e\,\sqrt{d+e\,x}\,5{}\mathrm{i}-A\,B\,b^3\,c^8\,d^{19}\,e^2\,\sqrt{d+e\,x}\,30{}\mathrm{i}+A\,B\,b^4\,c^7\,d^{18}\,e^3\,\sqrt{d+e\,x}\,40{}\mathrm{i}-A\,B\,b^5\,c^6\,d^{17}\,e^4\,\sqrt{d+e\,x}\,30{}\mathrm{i}+A\,B\,b^6\,c^5\,d^{16}\,e^5\,\sqrt{d+e\,x}\,12{}\mathrm{i}-A\,B\,b^7\,c^4\,d^{15}\,e^6\,\sqrt{d+e\,x}\,2{}\mathrm{i}+A\,B\,b^2\,c^9\,d^{20}\,e\,\sqrt{d+e\,x}\,12{}\mathrm{i}}{d^5\,\sqrt{d^5}\,\left(d^5\,\left(d^5\,\left(315\,A^2\,b^4\,c^7\,e^4-145\,A^2\,b^3\,c^8\,d\,e^3+40\,A^2\,b^2\,c^9\,d^2\,e^2-5\,A^2\,b\,c^{10}\,d^3\,e+30\,A\,B\,b^5\,c^6\,e^4-40\,A\,B\,b^4\,c^7\,d\,e^3+30\,A\,B\,b^3\,c^8\,d^2\,e^2-12\,A\,B\,b^2\,c^9\,d^3\,e+2\,A\,B\,b\,c^{10}\,d^4-15\,B^2\,b^6\,c^5\,e^4+20\,B^2\,b^5\,c^6\,d\,e^3-15\,B^2\,b^4\,c^7\,d^2\,e^2+6\,B^2\,b^3\,c^8\,d^3\,e-B^2\,b^2\,c^9\,d^4\right)-55\,A^2\,b^9\,c^2\,e^9-456\,A^2\,b^5\,c^6\,d^4\,e^5+461\,A^2\,b^6\,c^5\,d^3\,e^6-330\,A^2\,b^7\,c^4\,d^2\,e^7+6\,B^2\,b^7\,c^4\,d^4\,e^5-B^2\,b^8\,c^3\,d^3\,e^6+165\,A^2\,b^8\,c^3\,d\,e^8-12\,A\,B\,b^6\,c^5\,d^4\,e^5+2\,A\,B\,b^7\,c^4\,d^3\,e^6\right)-A^2\,b^{11}\,d^3\,e^{11}+11\,A^2\,b^{10}\,c\,d^4\,e^{10}\right)}\right)\,2{}\mathrm{i}}{b\,\sqrt{d^5}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{10}\,c^3\,d^6\,e^{12}-80\,A^2\,b^9\,c^4\,d^7\,e^{11}+360\,A^2\,b^8\,c^5\,d^8\,e^{10}-960\,A^2\,b^7\,c^6\,d^9\,e^9+1688\,A^2\,b^6\,c^7\,d^{10}\,e^8-2064\,A^2\,b^5\,c^8\,d^{11}\,e^7+1800\,A^2\,b^4\,c^9\,d^{12}\,e^6-1120\,A^2\,b^3\,c^{10}\,d^{13}\,e^5+480\,A^2\,b^2\,c^{11}\,d^{14}\,e^4-128\,A^2\,b\,c^{12}\,d^{15}\,e^3+16\,A^2\,c^{13}\,d^{16}\,e^2-16\,A\,B\,b^7\,c^6\,d^{10}\,e^8+96\,A\,B\,b^6\,c^7\,d^{11}\,e^7-240\,A\,B\,b^5\,c^8\,d^{12}\,e^6+320\,A\,B\,b^4\,c^9\,d^{13}\,e^5-240\,A\,B\,b^3\,c^{10}\,d^{14}\,e^4+96\,A\,B\,b^2\,c^{11}\,d^{15}\,e^3-16\,A\,B\,b\,c^{12}\,d^{16}\,e^2+8\,B^2\,b^8\,c^5\,d^{10}\,e^8-48\,B^2\,b^7\,c^6\,d^{11}\,e^7+120\,B^2\,b^6\,c^7\,d^{12}\,e^6-160\,B^2\,b^5\,c^8\,d^{13}\,e^5+120\,B^2\,b^4\,c^9\,d^{14}\,e^4-48\,B^2\,b^3\,c^{10}\,d^{15}\,e^3+8\,B^2\,b^2\,c^{11}\,d^{16}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{13}\,c^2\,d^{10}\,e^{13}+96\,b^{12}\,c^3\,d^{11}\,e^{12}-520\,b^{11}\,c^4\,d^{12}\,e^{11}+1680\,b^{10}\,c^5\,d^{13}\,e^{10}-3600\,b^9\,c^6\,d^{14}\,e^9+5376\,b^8\,c^7\,d^{15}\,e^8-5712\,b^7\,c^8\,d^{16}\,e^7+4320\,b^6\,c^9\,d^{17}\,e^6-2280\,b^5\,c^{10}\,d^{18}\,e^5+800\,b^4\,c^{11}\,d^{19}\,e^4-168\,b^3\,c^{12}\,d^{20}\,e^3+16\,b^2\,c^{13}\,d^{21}\,e^2\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}-24\,A\,b^2\,c^{12}\,d^{18}\,e^3+216\,A\,b^3\,c^{11}\,d^{17}\,e^4-872\,A\,b^4\,c^{10}\,d^{16}\,e^5+2080\,A\,b^5\,c^9\,d^{15}\,e^6-3248\,A\,b^6\,c^8\,d^{14}\,e^7+3472\,A\,b^7\,c^7\,d^{13}\,e^8-2576\,A\,b^8\,c^6\,d^{12}\,e^9+1312\,A\,b^9\,c^5\,d^{11}\,e^{10}-440\,A\,b^{10}\,c^4\,d^{10}\,e^{11}+88\,A\,b^{11}\,c^3\,d^9\,e^{12}-8\,A\,b^{12}\,c^2\,d^8\,e^{13}+8\,B\,b^2\,c^{12}\,d^{19}\,e^2-64\,B\,b^3\,c^{11}\,d^{18}\,e^3+224\,B\,b^4\,c^{10}\,d^{17}\,e^4-448\,B\,b^5\,c^9\,d^{16}\,e^5+560\,B\,b^6\,c^8\,d^{15}\,e^6-448\,B\,b^7\,c^7\,d^{14}\,e^7+224\,B\,b^8\,c^6\,d^{13}\,e^8-64\,B\,b^9\,c^5\,d^{12}\,e^9+8\,B\,b^{10}\,c^4\,d^{11}\,e^{10}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}\right)\,1{}\mathrm{i}}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}+\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{10}\,c^3\,d^6\,e^{12}-80\,A^2\,b^9\,c^4\,d^7\,e^{11}+360\,A^2\,b^8\,c^5\,d^8\,e^{10}-960\,A^2\,b^7\,c^6\,d^9\,e^9+1688\,A^2\,b^6\,c^7\,d^{10}\,e^8-2064\,A^2\,b^5\,c^8\,d^{11}\,e^7+1800\,A^2\,b^4\,c^9\,d^{12}\,e^6-1120\,A^2\,b^3\,c^{10}\,d^{13}\,e^5+480\,A^2\,b^2\,c^{11}\,d^{14}\,e^4-128\,A^2\,b\,c^{12}\,d^{15}\,e^3+16\,A^2\,c^{13}\,d^{16}\,e^2-16\,A\,B\,b^7\,c^6\,d^{10}\,e^8+96\,A\,B\,b^6\,c^7\,d^{11}\,e^7-240\,A\,B\,b^5\,c^8\,d^{12}\,e^6+320\,A\,B\,b^4\,c^9\,d^{13}\,e^5-240\,A\,B\,b^3\,c^{10}\,d^{14}\,e^4+96\,A\,B\,b^2\,c^{11}\,d^{15}\,e^3-16\,A\,B\,b\,c^{12}\,d^{16}\,e^2+8\,B^2\,b^8\,c^5\,d^{10}\,e^8-48\,B^2\,b^7\,c^6\,d^{11}\,e^7+120\,B^2\,b^6\,c^7\,d^{12}\,e^6-160\,B^2\,b^5\,c^8\,d^{13}\,e^5+120\,B^2\,b^4\,c^9\,d^{14}\,e^4-48\,B^2\,b^3\,c^{10}\,d^{15}\,e^3+8\,B^2\,b^2\,c^{11}\,d^{16}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{13}\,c^2\,d^{10}\,e^{13}+96\,b^{12}\,c^3\,d^{11}\,e^{12}-520\,b^{11}\,c^4\,d^{12}\,e^{11}+1680\,b^{10}\,c^5\,d^{13}\,e^{10}-3600\,b^9\,c^6\,d^{14}\,e^9+5376\,b^8\,c^7\,d^{15}\,e^8-5712\,b^7\,c^8\,d^{16}\,e^7+4320\,b^6\,c^9\,d^{17}\,e^6-2280\,b^5\,c^{10}\,d^{18}\,e^5+800\,b^4\,c^{11}\,d^{19}\,e^4-168\,b^3\,c^{12}\,d^{20}\,e^3+16\,b^2\,c^{13}\,d^{21}\,e^2\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}+24\,A\,b^2\,c^{12}\,d^{18}\,e^3-216\,A\,b^3\,c^{11}\,d^{17}\,e^4+872\,A\,b^4\,c^{10}\,d^{16}\,e^5-2080\,A\,b^5\,c^9\,d^{15}\,e^6+3248\,A\,b^6\,c^8\,d^{14}\,e^7-3472\,A\,b^7\,c^7\,d^{13}\,e^8+2576\,A\,b^8\,c^6\,d^{12}\,e^9-1312\,A\,b^9\,c^5\,d^{11}\,e^{10}+440\,A\,b^{10}\,c^4\,d^{10}\,e^{11}-88\,A\,b^{11}\,c^3\,d^9\,e^{12}+8\,A\,b^{12}\,c^2\,d^8\,e^{13}-8\,B\,b^2\,c^{12}\,d^{19}\,e^2+64\,B\,b^3\,c^{11}\,d^{18}\,e^3-224\,B\,b^4\,c^{10}\,d^{17}\,e^4+448\,B\,b^5\,c^9\,d^{16}\,e^5-560\,B\,b^6\,c^8\,d^{15}\,e^6+448\,B\,b^7\,c^7\,d^{14}\,e^7-224\,B\,b^8\,c^6\,d^{13}\,e^8+64\,B\,b^9\,c^5\,d^{12}\,e^9-8\,B\,b^{10}\,c^4\,d^{11}\,e^{10}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}\right)\,1{}\mathrm{i}}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}}{32\,A^3\,c^{12}\,d^{13}\,e^3+\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{10}\,c^3\,d^6\,e^{12}-80\,A^2\,b^9\,c^4\,d^7\,e^{11}+360\,A^2\,b^8\,c^5\,d^8\,e^{10}-960\,A^2\,b^7\,c^6\,d^9\,e^9+1688\,A^2\,b^6\,c^7\,d^{10}\,e^8-2064\,A^2\,b^5\,c^8\,d^{11}\,e^7+1800\,A^2\,b^4\,c^9\,d^{12}\,e^6-1120\,A^2\,b^3\,c^{10}\,d^{13}\,e^5+480\,A^2\,b^2\,c^{11}\,d^{14}\,e^4-128\,A^2\,b\,c^{12}\,d^{15}\,e^3+16\,A^2\,c^{13}\,d^{16}\,e^2-16\,A\,B\,b^7\,c^6\,d^{10}\,e^8+96\,A\,B\,b^6\,c^7\,d^{11}\,e^7-240\,A\,B\,b^5\,c^8\,d^{12}\,e^6+320\,A\,B\,b^4\,c^9\,d^{13}\,e^5-240\,A\,B\,b^3\,c^{10}\,d^{14}\,e^4+96\,A\,B\,b^2\,c^{11}\,d^{15}\,e^3-16\,A\,B\,b\,c^{12}\,d^{16}\,e^2+8\,B^2\,b^8\,c^5\,d^{10}\,e^8-48\,B^2\,b^7\,c^6\,d^{11}\,e^7+120\,B^2\,b^6\,c^7\,d^{12}\,e^6-160\,B^2\,b^5\,c^8\,d^{13}\,e^5+120\,B^2\,b^4\,c^9\,d^{14}\,e^4-48\,B^2\,b^3\,c^{10}\,d^{15}\,e^3+8\,B^2\,b^2\,c^{11}\,d^{16}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{13}\,c^2\,d^{10}\,e^{13}+96\,b^{12}\,c^3\,d^{11}\,e^{12}-520\,b^{11}\,c^4\,d^{12}\,e^{11}+1680\,b^{10}\,c^5\,d^{13}\,e^{10}-3600\,b^9\,c^6\,d^{14}\,e^9+5376\,b^8\,c^7\,d^{15}\,e^8-5712\,b^7\,c^8\,d^{16}\,e^7+4320\,b^6\,c^9\,d^{17}\,e^6-2280\,b^5\,c^{10}\,d^{18}\,e^5+800\,b^4\,c^{11}\,d^{19}\,e^4-168\,b^3\,c^{12}\,d^{20}\,e^3+16\,b^2\,c^{13}\,d^{21}\,e^2\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}-24\,A\,b^2\,c^{12}\,d^{18}\,e^3+216\,A\,b^3\,c^{11}\,d^{17}\,e^4-872\,A\,b^4\,c^{10}\,d^{16}\,e^5+2080\,A\,b^5\,c^9\,d^{15}\,e^6-3248\,A\,b^6\,c^8\,d^{14}\,e^7+3472\,A\,b^7\,c^7\,d^{13}\,e^8-2576\,A\,b^8\,c^6\,d^{12}\,e^9+1312\,A\,b^9\,c^5\,d^{11}\,e^{10}-440\,A\,b^{10}\,c^4\,d^{10}\,e^{11}+88\,A\,b^{11}\,c^3\,d^9\,e^{12}-8\,A\,b^{12}\,c^2\,d^8\,e^{13}+8\,B\,b^2\,c^{12}\,d^{19}\,e^2-64\,B\,b^3\,c^{11}\,d^{18}\,e^3+224\,B\,b^4\,c^{10}\,d^{17}\,e^4-448\,B\,b^5\,c^9\,d^{16}\,e^5+560\,B\,b^6\,c^8\,d^{15}\,e^6-448\,B\,b^7\,c^7\,d^{14}\,e^7+224\,B\,b^8\,c^6\,d^{13}\,e^8-64\,B\,b^9\,c^5\,d^{12}\,e^9+8\,B\,b^{10}\,c^4\,d^{11}\,e^{10}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{10}\,c^3\,d^6\,e^{12}-80\,A^2\,b^9\,c^4\,d^7\,e^{11}+360\,A^2\,b^8\,c^5\,d^8\,e^{10}-960\,A^2\,b^7\,c^6\,d^9\,e^9+1688\,A^2\,b^6\,c^7\,d^{10}\,e^8-2064\,A^2\,b^5\,c^8\,d^{11}\,e^7+1800\,A^2\,b^4\,c^9\,d^{12}\,e^6-1120\,A^2\,b^3\,c^{10}\,d^{13}\,e^5+480\,A^2\,b^2\,c^{11}\,d^{14}\,e^4-128\,A^2\,b\,c^{12}\,d^{15}\,e^3+16\,A^2\,c^{13}\,d^{16}\,e^2-16\,A\,B\,b^7\,c^6\,d^{10}\,e^8+96\,A\,B\,b^6\,c^7\,d^{11}\,e^7-240\,A\,B\,b^5\,c^8\,d^{12}\,e^6+320\,A\,B\,b^4\,c^9\,d^{13}\,e^5-240\,A\,B\,b^3\,c^{10}\,d^{14}\,e^4+96\,A\,B\,b^2\,c^{11}\,d^{15}\,e^3-16\,A\,B\,b\,c^{12}\,d^{16}\,e^2+8\,B^2\,b^8\,c^5\,d^{10}\,e^8-48\,B^2\,b^7\,c^6\,d^{11}\,e^7+120\,B^2\,b^6\,c^7\,d^{12}\,e^6-160\,B^2\,b^5\,c^8\,d^{13}\,e^5+120\,B^2\,b^4\,c^9\,d^{14}\,e^4-48\,B^2\,b^3\,c^{10}\,d^{15}\,e^3+8\,B^2\,b^2\,c^{11}\,d^{16}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{13}\,c^2\,d^{10}\,e^{13}+96\,b^{12}\,c^3\,d^{11}\,e^{12}-520\,b^{11}\,c^4\,d^{12}\,e^{11}+1680\,b^{10}\,c^5\,d^{13}\,e^{10}-3600\,b^9\,c^6\,d^{14}\,e^9+5376\,b^8\,c^7\,d^{15}\,e^8-5712\,b^7\,c^8\,d^{16}\,e^7+4320\,b^6\,c^9\,d^{17}\,e^6-2280\,b^5\,c^{10}\,d^{18}\,e^5+800\,b^4\,c^{11}\,d^{19}\,e^4-168\,b^3\,c^{12}\,d^{20}\,e^3+16\,b^2\,c^{13}\,d^{21}\,e^2\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}+24\,A\,b^2\,c^{12}\,d^{18}\,e^3-216\,A\,b^3\,c^{11}\,d^{17}\,e^4+872\,A\,b^4\,c^{10}\,d^{16}\,e^5-2080\,A\,b^5\,c^9\,d^{15}\,e^6+3248\,A\,b^6\,c^8\,d^{14}\,e^7-3472\,A\,b^7\,c^7\,d^{13}\,e^8+2576\,A\,b^8\,c^6\,d^{12}\,e^9-1312\,A\,b^9\,c^5\,d^{11}\,e^{10}+440\,A\,b^{10}\,c^4\,d^{10}\,e^{11}-88\,A\,b^{11}\,c^3\,d^9\,e^{12}+8\,A\,b^{12}\,c^2\,d^8\,e^{13}-8\,B\,b^2\,c^{12}\,d^{19}\,e^2+64\,B\,b^3\,c^{11}\,d^{18}\,e^3-224\,B\,b^4\,c^{10}\,d^{17}\,e^4+448\,B\,b^5\,c^9\,d^{16}\,e^5-560\,B\,b^6\,c^8\,d^{15}\,e^6+448\,B\,b^7\,c^7\,d^{14}\,e^7-224\,B\,b^8\,c^6\,d^{13}\,e^8+64\,B\,b^9\,c^5\,d^{12}\,e^9-8\,B\,b^{10}\,c^4\,d^{11}\,e^{10}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}\right)}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}+576\,A^3\,b^2\,c^{10}\,d^{11}\,e^5-880\,A^3\,b^3\,c^9\,d^{10}\,e^6+800\,A^3\,b^4\,c^8\,d^9\,e^7-432\,A^3\,b^5\,c^7\,d^8\,e^8+128\,A^3\,b^6\,c^6\,d^7\,e^9-16\,A^3\,b^7\,c^5\,d^6\,e^{10}-16\,A^2\,B\,c^{12}\,d^{14}\,e^2-208\,A^3\,b\,c^{11}\,d^{12}\,e^4-96\,A\,B^2\,b^2\,c^{10}\,d^{13}\,e^3+240\,A\,B^2\,b^3\,c^9\,d^{12}\,e^4-320\,A\,B^2\,b^4\,c^8\,d^{11}\,e^5+240\,A\,B^2\,b^5\,c^7\,d^{10}\,e^6-96\,A\,B^2\,b^6\,c^6\,d^9\,e^7+16\,A\,B^2\,b^7\,c^5\,d^8\,e^8-32\,A^2\,B\,b^2\,c^{10}\,d^{12}\,e^4-256\,A^2\,B\,b^3\,c^9\,d^{11}\,e^5+640\,A^2\,B\,b^4\,c^8\,d^{10}\,e^6-704\,A^2\,B\,b^5\,c^7\,d^9\,e^7+416\,A^2\,B\,b^6\,c^6\,d^8\,e^8-128\,A^2\,B\,b^7\,c^5\,d^7\,e^9+16\,A^2\,B\,b^8\,c^4\,d^6\,e^{10}+16\,A\,B^2\,b\,c^{11}\,d^{14}\,e^2+64\,A^2\,B\,b\,c^{11}\,d^{13}\,e^3}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(A\,c-B\,b\right)\,2{}\mathrm{i}}{b^6\,e^5-5\,b^5\,c\,d\,e^4+10\,b^4\,c^2\,d^2\,e^3-10\,b^3\,c^3\,d^3\,e^2+5\,b^2\,c^4\,d^4\,e-b\,c^5\,d^5}","Not used",1,"(atan((((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^13*d^16*e^2 + 480*A^2*b^2*c^11*d^14*e^4 - 1120*A^2*b^3*c^10*d^13*e^5 + 1800*A^2*b^4*c^9*d^12*e^6 - 2064*A^2*b^5*c^8*d^11*e^7 + 1688*A^2*b^6*c^7*d^10*e^8 - 960*A^2*b^7*c^6*d^9*e^9 + 360*A^2*b^8*c^5*d^8*e^10 - 80*A^2*b^9*c^4*d^7*e^11 + 8*A^2*b^10*c^3*d^6*e^12 + 8*B^2*b^2*c^11*d^16*e^2 - 48*B^2*b^3*c^10*d^15*e^3 + 120*B^2*b^4*c^9*d^14*e^4 - 160*B^2*b^5*c^8*d^13*e^5 + 120*B^2*b^6*c^7*d^12*e^6 - 48*B^2*b^7*c^6*d^11*e^7 + 8*B^2*b^8*c^5*d^10*e^8 - 128*A^2*b*c^12*d^15*e^3 - 16*A*B*b*c^12*d^16*e^2 + 96*A*B*b^2*c^11*d^15*e^3 - 240*A*B*b^3*c^10*d^14*e^4 + 320*A*B*b^4*c^9*d^13*e^5 - 240*A*B*b^5*c^8*d^12*e^6 + 96*A*B*b^6*c^7*d^11*e^7 - 16*A*B*b^7*c^6*d^10*e^8) - ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^13*d^21*e^2 - 168*b^3*c^12*d^20*e^3 + 800*b^4*c^11*d^19*e^4 - 2280*b^5*c^10*d^18*e^5 + 4320*b^6*c^9*d^17*e^6 - 5712*b^7*c^8*d^16*e^7 + 5376*b^8*c^7*d^15*e^8 - 3600*b^9*c^6*d^14*e^9 + 1680*b^10*c^5*d^13*e^10 - 520*b^11*c^4*d^12*e^11 + 96*b^12*c^3*d^11*e^12 - 8*b^13*c^2*d^10*e^13))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) - 24*A*b^2*c^12*d^18*e^3 + 216*A*b^3*c^11*d^17*e^4 - 872*A*b^4*c^10*d^16*e^5 + 2080*A*b^5*c^9*d^15*e^6 - 3248*A*b^6*c^8*d^14*e^7 + 3472*A*b^7*c^7*d^13*e^8 - 2576*A*b^8*c^6*d^12*e^9 + 1312*A*b^9*c^5*d^11*e^10 - 440*A*b^10*c^4*d^10*e^11 + 88*A*b^11*c^3*d^9*e^12 - 8*A*b^12*c^2*d^8*e^13 + 8*B*b^2*c^12*d^19*e^2 - 64*B*b^3*c^11*d^18*e^3 + 224*B*b^4*c^10*d^17*e^4 - 448*B*b^5*c^9*d^16*e^5 + 560*B*b^6*c^8*d^15*e^6 - 448*B*b^7*c^7*d^14*e^7 + 224*B*b^8*c^6*d^13*e^8 - 64*B*b^9*c^5*d^12*e^9 + 8*B*b^10*c^4*d^11*e^10))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4))*1i)/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) + ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^13*d^16*e^2 + 480*A^2*b^2*c^11*d^14*e^4 - 1120*A^2*b^3*c^10*d^13*e^5 + 1800*A^2*b^4*c^9*d^12*e^6 - 2064*A^2*b^5*c^8*d^11*e^7 + 1688*A^2*b^6*c^7*d^10*e^8 - 960*A^2*b^7*c^6*d^9*e^9 + 360*A^2*b^8*c^5*d^8*e^10 - 80*A^2*b^9*c^4*d^7*e^11 + 8*A^2*b^10*c^3*d^6*e^12 + 8*B^2*b^2*c^11*d^16*e^2 - 48*B^2*b^3*c^10*d^15*e^3 + 120*B^2*b^4*c^9*d^14*e^4 - 160*B^2*b^5*c^8*d^13*e^5 + 120*B^2*b^6*c^7*d^12*e^6 - 48*B^2*b^7*c^6*d^11*e^7 + 8*B^2*b^8*c^5*d^10*e^8 - 128*A^2*b*c^12*d^15*e^3 - 16*A*B*b*c^12*d^16*e^2 + 96*A*B*b^2*c^11*d^15*e^3 - 240*A*B*b^3*c^10*d^14*e^4 + 320*A*B*b^4*c^9*d^13*e^5 - 240*A*B*b^5*c^8*d^12*e^6 + 96*A*B*b^6*c^7*d^11*e^7 - 16*A*B*b^7*c^6*d^10*e^8) - ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^13*d^21*e^2 - 168*b^3*c^12*d^20*e^3 + 800*b^4*c^11*d^19*e^4 - 2280*b^5*c^10*d^18*e^5 + 4320*b^6*c^9*d^17*e^6 - 5712*b^7*c^8*d^16*e^7 + 5376*b^8*c^7*d^15*e^8 - 3600*b^9*c^6*d^14*e^9 + 1680*b^10*c^5*d^13*e^10 - 520*b^11*c^4*d^12*e^11 + 96*b^12*c^3*d^11*e^12 - 8*b^13*c^2*d^10*e^13))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) + 24*A*b^2*c^12*d^18*e^3 - 216*A*b^3*c^11*d^17*e^4 + 872*A*b^4*c^10*d^16*e^5 - 2080*A*b^5*c^9*d^15*e^6 + 3248*A*b^6*c^8*d^14*e^7 - 3472*A*b^7*c^7*d^13*e^8 + 2576*A*b^8*c^6*d^12*e^9 - 1312*A*b^9*c^5*d^11*e^10 + 440*A*b^10*c^4*d^10*e^11 - 88*A*b^11*c^3*d^9*e^12 + 8*A*b^12*c^2*d^8*e^13 - 8*B*b^2*c^12*d^19*e^2 + 64*B*b^3*c^11*d^18*e^3 - 224*B*b^4*c^10*d^17*e^4 + 448*B*b^5*c^9*d^16*e^5 - 560*B*b^6*c^8*d^15*e^6 + 448*B*b^7*c^7*d^14*e^7 - 224*B*b^8*c^6*d^13*e^8 + 64*B*b^9*c^5*d^12*e^9 - 8*B*b^10*c^4*d^11*e^10))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4))*1i)/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4))/(32*A^3*c^12*d^13*e^3 + ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^13*d^16*e^2 + 480*A^2*b^2*c^11*d^14*e^4 - 1120*A^2*b^3*c^10*d^13*e^5 + 1800*A^2*b^4*c^9*d^12*e^6 - 2064*A^2*b^5*c^8*d^11*e^7 + 1688*A^2*b^6*c^7*d^10*e^8 - 960*A^2*b^7*c^6*d^9*e^9 + 360*A^2*b^8*c^5*d^8*e^10 - 80*A^2*b^9*c^4*d^7*e^11 + 8*A^2*b^10*c^3*d^6*e^12 + 8*B^2*b^2*c^11*d^16*e^2 - 48*B^2*b^3*c^10*d^15*e^3 + 120*B^2*b^4*c^9*d^14*e^4 - 160*B^2*b^5*c^8*d^13*e^5 + 120*B^2*b^6*c^7*d^12*e^6 - 48*B^2*b^7*c^6*d^11*e^7 + 8*B^2*b^8*c^5*d^10*e^8 - 128*A^2*b*c^12*d^15*e^3 - 16*A*B*b*c^12*d^16*e^2 + 96*A*B*b^2*c^11*d^15*e^3 - 240*A*B*b^3*c^10*d^14*e^4 + 320*A*B*b^4*c^9*d^13*e^5 - 240*A*B*b^5*c^8*d^12*e^6 + 96*A*B*b^6*c^7*d^11*e^7 - 16*A*B*b^7*c^6*d^10*e^8) - ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^13*d^21*e^2 - 168*b^3*c^12*d^20*e^3 + 800*b^4*c^11*d^19*e^4 - 2280*b^5*c^10*d^18*e^5 + 4320*b^6*c^9*d^17*e^6 - 5712*b^7*c^8*d^16*e^7 + 5376*b^8*c^7*d^15*e^8 - 3600*b^9*c^6*d^14*e^9 + 1680*b^10*c^5*d^13*e^10 - 520*b^11*c^4*d^12*e^11 + 96*b^12*c^3*d^11*e^12 - 8*b^13*c^2*d^10*e^13))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) - 24*A*b^2*c^12*d^18*e^3 + 216*A*b^3*c^11*d^17*e^4 - 872*A*b^4*c^10*d^16*e^5 + 2080*A*b^5*c^9*d^15*e^6 - 3248*A*b^6*c^8*d^14*e^7 + 3472*A*b^7*c^7*d^13*e^8 - 2576*A*b^8*c^6*d^12*e^9 + 1312*A*b^9*c^5*d^11*e^10 - 440*A*b^10*c^4*d^10*e^11 + 88*A*b^11*c^3*d^9*e^12 - 8*A*b^12*c^2*d^8*e^13 + 8*B*b^2*c^12*d^19*e^2 - 64*B*b^3*c^11*d^18*e^3 + 224*B*b^4*c^10*d^17*e^4 - 448*B*b^5*c^9*d^16*e^5 + 560*B*b^6*c^8*d^15*e^6 - 448*B*b^7*c^7*d^14*e^7 + 224*B*b^8*c^6*d^13*e^8 - 64*B*b^9*c^5*d^12*e^9 + 8*B*b^10*c^4*d^11*e^10))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4)))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) - ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^13*d^16*e^2 + 480*A^2*b^2*c^11*d^14*e^4 - 1120*A^2*b^3*c^10*d^13*e^5 + 1800*A^2*b^4*c^9*d^12*e^6 - 2064*A^2*b^5*c^8*d^11*e^7 + 1688*A^2*b^6*c^7*d^10*e^8 - 960*A^2*b^7*c^6*d^9*e^9 + 360*A^2*b^8*c^5*d^8*e^10 - 80*A^2*b^9*c^4*d^7*e^11 + 8*A^2*b^10*c^3*d^6*e^12 + 8*B^2*b^2*c^11*d^16*e^2 - 48*B^2*b^3*c^10*d^15*e^3 + 120*B^2*b^4*c^9*d^14*e^4 - 160*B^2*b^5*c^8*d^13*e^5 + 120*B^2*b^6*c^7*d^12*e^6 - 48*B^2*b^7*c^6*d^11*e^7 + 8*B^2*b^8*c^5*d^10*e^8 - 128*A^2*b*c^12*d^15*e^3 - 16*A*B*b*c^12*d^16*e^2 + 96*A*B*b^2*c^11*d^15*e^3 - 240*A*B*b^3*c^10*d^14*e^4 + 320*A*B*b^4*c^9*d^13*e^5 - 240*A*B*b^5*c^8*d^12*e^6 + 96*A*B*b^6*c^7*d^11*e^7 - 16*A*B*b^7*c^6*d^10*e^8) - ((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(((-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^13*d^21*e^2 - 168*b^3*c^12*d^20*e^3 + 800*b^4*c^11*d^19*e^4 - 2280*b^5*c^10*d^18*e^5 + 4320*b^6*c^9*d^17*e^6 - 5712*b^7*c^8*d^16*e^7 + 5376*b^8*c^7*d^15*e^8 - 3600*b^9*c^6*d^14*e^9 + 1680*b^10*c^5*d^13*e^10 - 520*b^11*c^4*d^12*e^11 + 96*b^12*c^3*d^11*e^12 - 8*b^13*c^2*d^10*e^13))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) + 24*A*b^2*c^12*d^18*e^3 - 216*A*b^3*c^11*d^17*e^4 + 872*A*b^4*c^10*d^16*e^5 - 2080*A*b^5*c^9*d^15*e^6 + 3248*A*b^6*c^8*d^14*e^7 - 3472*A*b^7*c^7*d^13*e^8 + 2576*A*b^8*c^6*d^12*e^9 - 1312*A*b^9*c^5*d^11*e^10 + 440*A*b^10*c^4*d^10*e^11 - 88*A*b^11*c^3*d^9*e^12 + 8*A*b^12*c^2*d^8*e^13 - 8*B*b^2*c^12*d^19*e^2 + 64*B*b^3*c^11*d^18*e^3 - 224*B*b^4*c^10*d^17*e^4 + 448*B*b^5*c^9*d^16*e^5 - 560*B*b^6*c^8*d^15*e^6 + 448*B*b^7*c^7*d^14*e^7 - 224*B*b^8*c^6*d^13*e^8 + 64*B*b^9*c^5*d^12*e^9 - 8*B*b^10*c^4*d^11*e^10))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4)))/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) + 576*A^3*b^2*c^10*d^11*e^5 - 880*A^3*b^3*c^9*d^10*e^6 + 800*A^3*b^4*c^8*d^9*e^7 - 432*A^3*b^5*c^7*d^8*e^8 + 128*A^3*b^6*c^6*d^7*e^9 - 16*A^3*b^7*c^5*d^6*e^10 - 16*A^2*B*c^12*d^14*e^2 - 208*A^3*b*c^11*d^12*e^4 - 96*A*B^2*b^2*c^10*d^13*e^3 + 240*A*B^2*b^3*c^9*d^12*e^4 - 320*A*B^2*b^4*c^8*d^11*e^5 + 240*A*B^2*b^5*c^7*d^10*e^6 - 96*A*B^2*b^6*c^6*d^9*e^7 + 16*A*B^2*b^7*c^5*d^8*e^8 - 32*A^2*B*b^2*c^10*d^12*e^4 - 256*A^2*B*b^3*c^9*d^11*e^5 + 640*A^2*B*b^4*c^8*d^10*e^6 - 704*A^2*B*b^5*c^7*d^9*e^7 + 416*A^2*B*b^6*c^6*d^8*e^8 - 128*A^2*B*b^7*c^5*d^7*e^9 + 16*A^2*B*b^8*c^4*d^6*e^10 + 16*A*B^2*b*c^11*d^14*e^2 + 64*A^2*B*b*c^11*d^13*e^3))*(-c^3*(b*e - c*d)^5)^(1/2)*(A*c - B*b)*2i)/(b^6*e^5 - b*c^5*d^5 + 5*b^2*c^4*d^4*e - 10*b^3*c^3*d^3*e^2 + 10*b^4*c^2*d^2*e^3 - 5*b^5*c*d*e^4) - (A*atan((B^2*b^2*c^9*d^21*(d + e*x)^(1/2)*1i + A^2*b^11*d^10*e^11*(d + e*x)^(1/2)*1i - A^2*b^10*c*d^11*e^10*(d + e*x)^(1/2)*11i - B^2*b^3*c^8*d^20*e*(d + e*x)^(1/2)*6i - A*B*b*c^10*d^21*(d + e*x)^(1/2)*2i - A^2*b^2*c^9*d^19*e^2*(d + e*x)^(1/2)*40i + A^2*b^3*c^8*d^18*e^3*(d + e*x)^(1/2)*145i - A^2*b^4*c^7*d^17*e^4*(d + e*x)^(1/2)*315i + A^2*b^5*c^6*d^16*e^5*(d + e*x)^(1/2)*456i - A^2*b^6*c^5*d^15*e^6*(d + e*x)^(1/2)*461i + A^2*b^7*c^4*d^14*e^7*(d + e*x)^(1/2)*330i - A^2*b^8*c^3*d^13*e^8*(d + e*x)^(1/2)*165i + A^2*b^9*c^2*d^12*e^9*(d + e*x)^(1/2)*55i + B^2*b^4*c^7*d^19*e^2*(d + e*x)^(1/2)*15i - B^2*b^5*c^6*d^18*e^3*(d + e*x)^(1/2)*20i + B^2*b^6*c^5*d^17*e^4*(d + e*x)^(1/2)*15i - B^2*b^7*c^4*d^16*e^5*(d + e*x)^(1/2)*6i + B^2*b^8*c^3*d^15*e^6*(d + e*x)^(1/2)*1i + A^2*b*c^10*d^20*e*(d + e*x)^(1/2)*5i - A*B*b^3*c^8*d^19*e^2*(d + e*x)^(1/2)*30i + A*B*b^4*c^7*d^18*e^3*(d + e*x)^(1/2)*40i - A*B*b^5*c^6*d^17*e^4*(d + e*x)^(1/2)*30i + A*B*b^6*c^5*d^16*e^5*(d + e*x)^(1/2)*12i - A*B*b^7*c^4*d^15*e^6*(d + e*x)^(1/2)*2i + A*B*b^2*c^9*d^20*e*(d + e*x)^(1/2)*12i)/(d^5*(d^5)^(1/2)*(d^5*(d^5*(315*A^2*b^4*c^7*e^4 - B^2*b^2*c^9*d^4 - 15*B^2*b^6*c^5*e^4 + 40*A^2*b^2*c^9*d^2*e^2 - 15*B^2*b^4*c^7*d^2*e^2 + 30*A*B*b^5*c^6*e^4 - 5*A^2*b*c^10*d^3*e - 145*A^2*b^3*c^8*d*e^3 + 6*B^2*b^3*c^8*d^3*e + 20*B^2*b^5*c^6*d*e^3 + 2*A*B*b*c^10*d^4 - 12*A*B*b^2*c^9*d^3*e - 40*A*B*b^4*c^7*d*e^3 + 30*A*B*b^3*c^8*d^2*e^2) - 55*A^2*b^9*c^2*e^9 - 456*A^2*b^5*c^6*d^4*e^5 + 461*A^2*b^6*c^5*d^3*e^6 - 330*A^2*b^7*c^4*d^2*e^7 + 6*B^2*b^7*c^4*d^4*e^5 - B^2*b^8*c^3*d^3*e^6 + 165*A^2*b^8*c^3*d*e^8 - 12*A*B*b^6*c^5*d^4*e^5 + 2*A*B*b^7*c^4*d^3*e^6) - A^2*b^11*d^3*e^11 + 11*A^2*b^10*c*d^4*e^10)))*2i)/(b*(d^5)^(1/2)) - ((2*(A*e - B*d))/(3*(c*d^2 - b*d*e)) - (2*(d + e*x)*(A*b*e^2 + B*c*d^2 - 2*A*c*d*e))/(c*d^2 - b*d*e)^2)/(d + e*x)^(3/2)","B"
1236,1,13404,225,4.722256,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^(7/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{5\,\left(c\,d^2-b\,d\,e\right)}+\frac{2\,{\left(d+e\,x\right)}^2\,\left(A\,b^2\,e^3-3\,A\,b\,c\,d\,e^2-B\,c^2\,d^3+3\,A\,c^2\,d^2\,e\right)}{{\left(c\,d^2-b\,d\,e\right)}^3}-\frac{2\,\left(d+e\,x\right)\,\left(B\,c\,d^2-2\,A\,c\,d\,e+A\,b\,e^2\right)}{3\,{\left(c\,d^2-b\,d\,e\right)}^2}}{{\left(d+e\,x\right)}^{5/2}}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^{15}\,c^3\,d^9\,e^{17}+120\,A^2\,b^{14}\,c^4\,d^{10}\,e^{16}-840\,A^2\,b^{13}\,c^5\,d^{11}\,e^{15}+3640\,A^2\,b^{12}\,c^6\,d^{12}\,e^{14}-10920\,A^2\,b^{11}\,c^7\,d^{13}\,e^{13}+24024\,A^2\,b^{10}\,c^8\,d^{14}\,e^{12}-40048\,A^2\,b^9\,c^9\,d^{15}\,e^{11}+51552\,A^2\,b^8\,c^{10}\,d^{16}\,e^{10}-51768\,A^2\,b^7\,c^{11}\,d^{17}\,e^9+40712\,A^2\,b^6\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}-32\,A\,b^2\,c^{17}\,d^{27}\,e^3+432\,A\,b^3\,c^{16}\,d^{26}\,e^4-2720\,A\,b^4\,c^{15}\,d^{25}\,e^5+10600\,A\,b^5\,c^{14}\,d^{24}\,e^6-28608\,A\,b^6\,c^{13}\,d^{23}\,e^7+56672\,A\,b^7\,c^{12}\,d^{22}\,e^8-85184\,A\,b^8\,c^{11}\,d^{21}\,e^9+99000\,A\,b^9\,c^{10}\,d^{20}\,e^{10}-89760\,A\,b^{10}\,c^9\,d^{19}\,e^{11}+63536\,A\,b^{11}\,c^8\,d^{18}\,e^{12}-34848\,A\,b^{12}\,c^7\,d^{17}\,e^{13}+14552\,A\,b^{13}\,c^6\,d^{16}\,e^{14}-4480\,A\,b^{14}\,c^5\,d^{15}\,e^{15}+960\,A\,b^{15}\,c^4\,d^{14}\,e^{16}-128\,A\,b^{16}\,c^3\,d^{13}\,e^{17}+8\,A\,b^{17}\,c^2\,d^{12}\,e^{18}+8\,B\,b^2\,c^{17}\,d^{28}\,e^2-96\,B\,b^3\,c^{16}\,d^{27}\,e^3+528\,B\,b^4\,c^{15}\,d^{26}\,e^4-1760\,B\,b^5\,c^{14}\,d^{25}\,e^5+3960\,B\,b^6\,c^{13}\,d^{24}\,e^6-6336\,B\,b^7\,c^{12}\,d^{23}\,e^7+7392\,B\,b^8\,c^{11}\,d^{22}\,e^8-6336\,B\,b^9\,c^{10}\,d^{21}\,e^9+3960\,B\,b^{10}\,c^9\,d^{20}\,e^{10}-1760\,B\,b^{11}\,c^8\,d^{19}\,e^{11}+528\,B\,b^{12}\,c^7\,d^{18}\,e^{12}-96\,B\,b^{13}\,c^6\,d^{17}\,e^{13}+8\,B\,b^{14}\,c^5\,d^{16}\,e^{14}\right)}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}\right)\,1{}\mathrm{i}}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^{15}\,c^3\,d^9\,e^{17}+120\,A^2\,b^{14}\,c^4\,d^{10}\,e^{16}-840\,A^2\,b^{13}\,c^5\,d^{11}\,e^{15}+3640\,A^2\,b^{12}\,c^6\,d^{12}\,e^{14}-10920\,A^2\,b^{11}\,c^7\,d^{13}\,e^{13}+24024\,A^2\,b^{10}\,c^8\,d^{14}\,e^{12}-40048\,A^2\,b^9\,c^9\,d^{15}\,e^{11}+51552\,A^2\,b^8\,c^{10}\,d^{16}\,e^{10}-51768\,A^2\,b^7\,c^{11}\,d^{17}\,e^9+40712\,A^2\,b^6\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}+32\,A\,b^2\,c^{17}\,d^{27}\,e^3-432\,A\,b^3\,c^{16}\,d^{26}\,e^4+2720\,A\,b^4\,c^{15}\,d^{25}\,e^5-10600\,A\,b^5\,c^{14}\,d^{24}\,e^6+28608\,A\,b^6\,c^{13}\,d^{23}\,e^7-56672\,A\,b^7\,c^{12}\,d^{22}\,e^8+85184\,A\,b^8\,c^{11}\,d^{21}\,e^9-99000\,A\,b^9\,c^{10}\,d^{20}\,e^{10}+89760\,A\,b^{10}\,c^9\,d^{19}\,e^{11}-63536\,A\,b^{11}\,c^8\,d^{18}\,e^{12}+34848\,A\,b^{12}\,c^7\,d^{17}\,e^{13}-14552\,A\,b^{13}\,c^6\,d^{16}\,e^{14}+4480\,A\,b^{14}\,c^5\,d^{15}\,e^{15}-960\,A\,b^{15}\,c^4\,d^{14}\,e^{16}+128\,A\,b^{16}\,c^3\,d^{13}\,e^{17}-8\,A\,b^{17}\,c^2\,d^{12}\,e^{18}-8\,B\,b^2\,c^{17}\,d^{28}\,e^2+96\,B\,b^3\,c^{16}\,d^{27}\,e^3-528\,B\,b^4\,c^{15}\,d^{26}\,e^4+1760\,B\,b^5\,c^{14}\,d^{25}\,e^5-3960\,B\,b^6\,c^{13}\,d^{24}\,e^6+6336\,B\,b^7\,c^{12}\,d^{23}\,e^7-7392\,B\,b^8\,c^{11}\,d^{22}\,e^8+6336\,B\,b^9\,c^{10}\,d^{21}\,e^9-3960\,B\,b^{10}\,c^9\,d^{20}\,e^{10}+1760\,B\,b^{11}\,c^8\,d^{19}\,e^{11}-528\,B\,b^{12}\,c^7\,d^{18}\,e^{12}+96\,B\,b^{13}\,c^6\,d^{17}\,e^{13}-8\,B\,b^{14}\,c^5\,d^{16}\,e^{14}\right)}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}\right)\,1{}\mathrm{i}}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7}}{\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^{15}\,c^3\,d^9\,e^{17}+120\,A^2\,b^{14}\,c^4\,d^{10}\,e^{16}-840\,A^2\,b^{13}\,c^5\,d^{11}\,e^{15}+3640\,A^2\,b^{12}\,c^6\,d^{12}\,e^{14}-10920\,A^2\,b^{11}\,c^7\,d^{13}\,e^{13}+24024\,A^2\,b^{10}\,c^8\,d^{14}\,e^{12}-40048\,A^2\,b^9\,c^9\,d^{15}\,e^{11}+51552\,A^2\,b^8\,c^{10}\,d^{16}\,e^{10}-51768\,A^2\,b^7\,c^{11}\,d^{17}\,e^9+40712\,A^2\,b^6\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^7}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b^8\,e^7-7\,b^7\,c\,d\,e^6+21\,b^6\,c^2\,d^2\,e^5-35\,b^5\,c^3\,d^3\,e^4+35\,b^4\,c^4\,d^4\,e^3-21\,b^3\,c^5\,d^5\,e^2+7\,b^2\,c^6\,d^6\,e-b\,c^7\,d^7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\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{A\,\left(\frac{A\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b\,\sqrt{d^7}}+32\,A\,b^2\,c^{17}\,d^{27}\,e^3-432\,A\,b^3\,c^{16}\,d^{26}\,e^4+2720\,A\,b^4\,c^{15}\,d^{25}\,e^5-10600\,A\,b^5\,c^{14}\,d^{24}\,e^6+28608\,A\,b^6\,c^{13}\,d^{23}\,e^7-56672\,A\,b^7\,c^{12}\,d^{22}\,e^8+85184\,A\,b^8\,c^{11}\,d^{21}\,e^9-99000\,A\,b^9\,c^{10}\,d^{20}\,e^{10}+89760\,A\,b^{10}\,c^9\,d^{19}\,e^{11}-63536\,A\,b^{11}\,c^8\,d^{18}\,e^{12}+34848\,A\,b^{12}\,c^7\,d^{17}\,e^{13}-14552\,A\,b^{13}\,c^6\,d^{16}\,e^{14}+4480\,A\,b^{14}\,c^5\,d^{15}\,e^{15}-960\,A\,b^{15}\,c^4\,d^{14}\,e^{16}+128\,A\,b^{16}\,c^3\,d^{13}\,e^{17}-8\,A\,b^{17}\,c^2\,d^{12}\,e^{18}-8\,B\,b^2\,c^{17}\,d^{28}\,e^2+96\,B\,b^3\,c^{16}\,d^{27}\,e^3-528\,B\,b^4\,c^{15}\,d^{26}\,e^4+1760\,B\,b^5\,c^{14}\,d^{25}\,e^5-3960\,B\,b^6\,c^{13}\,d^{24}\,e^6+6336\,B\,b^7\,c^{12}\,d^{23}\,e^7-7392\,B\,b^8\,c^{11}\,d^{22}\,e^8+6336\,B\,b^9\,c^{10}\,d^{21}\,e^9-3960\,B\,b^{10}\,c^9\,d^{20}\,e^{10}+1760\,B\,b^{11}\,c^8\,d^{19}\,e^{11}-528\,B\,b^{12}\,c^7\,d^{18}\,e^{12}+96\,B\,b^{13}\,c^6\,d^{17}\,e^{13}-8\,B\,b^{14}\,c^5\,d^{16}\,e^{14}\right)}{b\,\sqrt{d^7}}\right)\,1{}\mathrm{i}}{b\,\sqrt{d^7}}}{\frac{A\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^{15}\,c^3\,d^9\,e^{17}+120\,A^2\,b^{14}\,c^4\,d^{10}\,e^{16}-840\,A^2\,b^{13}\,c^5\,d^{11}\,e^{15}+3640\,A^2\,b^{12}\,c^6\,d^{12}\,e^{14}-10920\,A^2\,b^{11}\,c^7\,d^{13}\,e^{13}+24024\,A^2\,b^{10}\,c^8\,d^{14}\,e^{12}-40048\,A^2\,b^9\,c^9\,d^{15}\,e^{11}+51552\,A^2\,b^8\,c^{10}\,d^{16}\,e^{10}-51768\,A^2\,b^7\,c^{11}\,d^{17}\,e^9+40712\,A^2\,b^6\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{A\,\left(\frac{A\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b\,\sqrt{d^7}}+32\,A\,b^2\,c^{17}\,d^{27}\,e^3-432\,A\,b^3\,c^{16}\,d^{26}\,e^4+2720\,A\,b^4\,c^{15}\,d^{25}\,e^5-10600\,A\,b^5\,c^{14}\,d^{24}\,e^6+28608\,A\,b^6\,c^{13}\,d^{23}\,e^7-56672\,A\,b^7\,c^{12}\,d^{22}\,e^8+85184\,A\,b^8\,c^{11}\,d^{21}\,e^9-99000\,A\,b^9\,c^{10}\,d^{20}\,e^{10}+89760\,A\,b^{10}\,c^9\,d^{19}\,e^{11}-63536\,A\,b^{11}\,c^8\,d^{18}\,e^{12}+34848\,A\,b^{12}\,c^7\,d^{17}\,e^{13}-14552\,A\,b^{13}\,c^6\,d^{16}\,e^{14}+4480\,A\,b^{14}\,c^5\,d^{15}\,e^{15}-960\,A\,b^{15}\,c^4\,d^{14}\,e^{16}+128\,A\,b^{16}\,c^3\,d^{13}\,e^{17}-8\,A\,b^{17}\,c^2\,d^{12}\,e^{18}-8\,B\,b^2\,c^{17}\,d^{28}\,e^2+96\,B\,b^3\,c^{16}\,d^{27}\,e^3-528\,B\,b^4\,c^{15}\,d^{26}\,e^4+1760\,B\,b^5\,c^{14}\,d^{25}\,e^5-3960\,B\,b^6\,c^{13}\,d^{24}\,e^6+6336\,B\,b^7\,c^{12}\,d^{23}\,e^7-7392\,B\,b^8\,c^{11}\,d^{22}\,e^8+6336\,B\,b^9\,c^{10}\,d^{21}\,e^9-3960\,B\,b^{10}\,c^9\,d^{20}\,e^{10}+1760\,B\,b^{11}\,c^8\,d^{19}\,e^{11}-528\,B\,b^{12}\,c^7\,d^{18}\,e^{12}+96\,B\,b^{13}\,c^6\,d^{17}\,e^{13}-8\,B\,b^{14}\,c^5\,d^{16}\,e^{14}\right)}{b\,\sqrt{d^7}}\right)}{b\,\sqrt{d^7}}-\frac{A\,\left(\sqrt{d+e\,x}\,\left(-8\,A^2\,b^{15}\,c^3\,d^9\,e^{17}+120\,A^2\,b^{14}\,c^4\,d^{10}\,e^{16}-840\,A^2\,b^{13}\,c^5\,d^{11}\,e^{15}+3640\,A^2\,b^{12}\,c^6\,d^{12}\,e^{14}-10920\,A^2\,b^{11}\,c^7\,d^{13}\,e^{13}+24024\,A^2\,b^{10}\,c^8\,d^{14}\,e^{12}-40048\,A^2\,b^9\,c^9\,d^{15}\,e^{11}+51552\,A^2\,b^8\,c^{10}\,d^{16}\,e^{10}-51768\,A^2\,b^7\,c^{11}\,d^{17}\,e^9+40712\,A^2\,b^6\,c^{12}\,d^{18}\,e^8-25032\,A^2\,b^5\,c^{13}\,d^{19}\,e^7+11928\,A^2\,b^4\,c^{14}\,d^{20}\,e^6-4312\,A^2\,b^3\,c^{15}\,d^{21}\,e^5+1128\,A^2\,b^2\,c^{16}\,d^{22}\,e^4-192\,A^2\,b\,c^{17}\,d^{23}\,e^3+16\,A^2\,c^{18}\,d^{24}\,e^2+16\,A\,B\,b^{10}\,c^8\,d^{15}\,e^{11}-144\,A\,B\,b^9\,c^9\,d^{16}\,e^{10}+576\,A\,B\,b^8\,c^{10}\,d^{17}\,e^9-1344\,A\,B\,b^7\,c^{11}\,d^{18}\,e^8+2016\,A\,B\,b^6\,c^{12}\,d^{19}\,e^7-2016\,A\,B\,b^5\,c^{13}\,d^{20}\,e^6+1344\,A\,B\,b^4\,c^{14}\,d^{21}\,e^5-576\,A\,B\,b^3\,c^{15}\,d^{22}\,e^4+144\,A\,B\,b^2\,c^{16}\,d^{23}\,e^3-16\,A\,B\,b\,c^{17}\,d^{24}\,e^2-8\,B^2\,b^{11}\,c^7\,d^{15}\,e^{11}+72\,B^2\,b^{10}\,c^8\,d^{16}\,e^{10}-288\,B^2\,b^9\,c^9\,d^{17}\,e^9+672\,B^2\,b^8\,c^{10}\,d^{18}\,e^8-1008\,B^2\,b^7\,c^{11}\,d^{19}\,e^7+1008\,B^2\,b^6\,c^{12}\,d^{20}\,e^6-672\,B^2\,b^5\,c^{13}\,d^{21}\,e^5+288\,B^2\,b^4\,c^{14}\,d^{22}\,e^4-72\,B^2\,b^3\,c^{15}\,d^{23}\,e^3+8\,B^2\,b^2\,c^{16}\,d^{24}\,e^2\right)-\frac{A\,\left(\frac{A\,\sqrt{d+e\,x}\,\left(8\,b^{18}\,c^2\,d^{15}\,e^{18}-136\,b^{17}\,c^3\,d^{16}\,e^{17}+1080\,b^{16}\,c^4\,d^{17}\,e^{16}-5320\,b^{15}\,c^5\,d^{18}\,e^{15}+18200\,b^{14}\,c^6\,d^{19}\,e^{14}-45864\,b^{13}\,c^7\,d^{20}\,e^{13}+88088\,b^{12}\,c^8\,d^{21}\,e^{12}-131560\,b^{11}\,c^9\,d^{22}\,e^{11}+154440\,b^{10}\,c^{10}\,d^{23}\,e^{10}-143000\,b^9\,c^{11}\,d^{24}\,e^9+104104\,b^8\,c^{12}\,d^{25}\,e^8-58968\,b^7\,c^{13}\,d^{26}\,e^7+25480\,b^6\,c^{14}\,d^{27}\,e^6-8120\,b^5\,c^{15}\,d^{28}\,e^5+1800\,b^4\,c^{16}\,d^{29}\,e^4-248\,b^3\,c^{17}\,d^{30}\,e^3+16\,b^2\,c^{18}\,d^{31}\,e^2\right)}{b\,\sqrt{d^7}}-32\,A\,b^2\,c^{17}\,d^{27}\,e^3+432\,A\,b^3\,c^{16}\,d^{26}\,e^4-2720\,A\,b^4\,c^{15}\,d^{25}\,e^5+10600\,A\,b^5\,c^{14}\,d^{24}\,e^6-28608\,A\,b^6\,c^{13}\,d^{23}\,e^7+56672\,A\,b^7\,c^{12}\,d^{22}\,e^8-85184\,A\,b^8\,c^{11}\,d^{21}\,e^9+99000\,A\,b^9\,c^{10}\,d^{20}\,e^{10}-89760\,A\,b^{10}\,c^9\,d^{19}\,e^{11}+63536\,A\,b^{11}\,c^8\,d^{18}\,e^{12}-34848\,A\,b^{12}\,c^7\,d^{17}\,e^{13}+14552\,A\,b^{13}\,c^6\,d^{16}\,e^{14}-4480\,A\,b^{14}\,c^5\,d^{15}\,e^{15}+960\,A\,b^{15}\,c^4\,d^{14}\,e^{16}-128\,A\,b^{16}\,c^3\,d^{13}\,e^{17}+8\,A\,b^{17}\,c^2\,d^{12}\,e^{18}+8\,B\,b^2\,c^{17}\,d^{28}\,e^2-96\,B\,b^3\,c^{16}\,d^{27}\,e^3+528\,B\,b^4\,c^{15}\,d^{26}\,e^4-1760\,B\,b^5\,c^{14}\,d^{25}\,e^5+3960\,B\,b^6\,c^{13}\,d^{24}\,e^6-6336\,B\,b^7\,c^{12}\,d^{23}\,e^7+7392\,B\,b^8\,c^{11}\,d^{22}\,e^8-6336\,B\,b^9\,c^{10}\,d^{21}\,e^9+3960\,B\,b^{10}\,c^9\,d^{20}\,e^{10}-1760\,B\,b^{11}\,c^8\,d^{19}\,e^{11}+528\,B\,b^{12}\,c^7\,d^{18}\,e^{12}-96\,B\,b^{13}\,c^6\,d^{17}\,e^{13}+8\,B\,b^{14}\,c^5\,d^{16}\,e^{14}\right)}{b\,\sqrt{d^7}}\right)}{b\,\sqrt{d^7}}-48\,A^3\,c^{17}\,d^{20}\,e^3-2176\,A^3\,b^2\,c^{15}\,d^{18}\,e^5+5904\,A^3\,b^3\,c^{14}\,d^{17}\,e^6-10656\,A^3\,b^4\,c^{13}\,d^{16}\,e^7+13440\,A^3\,b^5\,c^{12}\,d^{15}\,e^8-12096\,A^3\,b^6\,c^{11}\,d^{14}\,e^9+7776\,A^3\,b^7\,c^{10}\,d^{13}\,e^{10}-3504\,A^3\,b^8\,c^9\,d^{12}\,e^{11}+1056\,A^3\,b^9\,c^8\,d^{11}\,e^{12}-192\,A^3\,b^{10}\,c^7\,d^{10}\,e^{13}+16\,A^3\,b^{11}\,c^6\,d^9\,e^{14}+16\,A^2\,B\,c^{17}\,d^{21}\,e^2+480\,A^3\,b\,c^{16}\,d^{19}\,e^4+144\,A\,B^2\,b^2\,c^{15}\,d^{20}\,e^3-576\,A\,B^2\,b^3\,c^{14}\,d^{19}\,e^4+1344\,A\,B^2\,b^4\,c^{13}\,d^{18}\,e^5-2016\,A\,B^2\,b^5\,c^{12}\,d^{17}\,e^6+2016\,A\,B^2\,b^6\,c^{11}\,d^{16}\,e^7-1344\,A\,B^2\,b^7\,c^{10}\,d^{15}\,e^8+576\,A\,B^2\,b^8\,c^9\,d^{14}\,e^9-144\,A\,B^2\,b^9\,c^8\,d^{13}\,e^{10}+16\,A\,B^2\,b^{10}\,c^7\,d^{12}\,e^{11}+96\,A^2\,B\,b^2\,c^{15}\,d^{19}\,e^4+832\,A^2\,B\,b^3\,c^{14}\,d^{18}\,e^5-3888\,A^2\,B\,b^4\,c^{13}\,d^{17}\,e^6+8640\,A^2\,B\,b^5\,c^{12}\,d^{16}\,e^7-12096\,A^2\,B\,b^6\,c^{11}\,d^{15}\,e^8+11520\,A^2\,B\,b^7\,c^{10}\,d^{14}\,e^9-7632\,A^2\,B\,b^8\,c^9\,d^{13}\,e^{10}+3488\,A^2\,B\,b^9\,c^8\,d^{12}\,e^{11}-1056\,A^2\,B\,b^{10}\,c^7\,d^{11}\,e^{12}+192\,A^2\,B\,b^{11}\,c^6\,d^{10}\,e^{13}-16\,A^2\,B\,b^{12}\,c^5\,d^9\,e^{14}-16\,A\,B^2\,b\,c^{16}\,d^{21}\,e^2-96\,A^2\,B\,b\,c^{16}\,d^{20}\,e^3}\right)\,2{}\mathrm{i}}{b\,\sqrt{d^7}}","Not used",1,"- ((2*(A*e - B*d))/(5*(c*d^2 - b*d*e)) + (2*(d + e*x)^2*(A*b^2*e^3 - B*c^2*d^3 + 3*A*c^2*d^2*e - 3*A*b*c*d*e^2))/(c*d^2 - b*d*e)^3 - (2*(d + e*x)*(A*b*e^2 + B*c*d^2 - 2*A*c*d*e))/(3*(c*d^2 - b*d*e)^2))/(d + e*x)^(5/2) - (atan((((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) - 32*A*b^2*c^17*d^27*e^3 + 432*A*b^3*c^16*d^26*e^4 - 2720*A*b^4*c^15*d^25*e^5 + 10600*A*b^5*c^14*d^24*e^6 - 28608*A*b^6*c^13*d^23*e^7 + 56672*A*b^7*c^12*d^22*e^8 - 85184*A*b^8*c^11*d^21*e^9 + 99000*A*b^9*c^10*d^20*e^10 - 89760*A*b^10*c^9*d^19*e^11 + 63536*A*b^11*c^8*d^18*e^12 - 34848*A*b^12*c^7*d^17*e^13 + 14552*A*b^13*c^6*d^16*e^14 - 4480*A*b^14*c^5*d^15*e^15 + 960*A*b^15*c^4*d^14*e^16 - 128*A*b^16*c^3*d^13*e^17 + 8*A*b^17*c^2*d^12*e^18 + 8*B*b^2*c^17*d^28*e^2 - 96*B*b^3*c^16*d^27*e^3 + 528*B*b^4*c^15*d^26*e^4 - 1760*B*b^5*c^14*d^25*e^5 + 3960*B*b^6*c^13*d^24*e^6 - 6336*B*b^7*c^12*d^23*e^7 + 7392*B*b^8*c^11*d^22*e^8 - 6336*B*b^9*c^10*d^21*e^9 + 3960*B*b^10*c^9*d^20*e^10 - 1760*B*b^11*c^8*d^19*e^11 + 528*B*b^12*c^7*d^18*e^12 - 96*B*b^13*c^6*d^17*e^13 + 8*B*b^14*c^5*d^16*e^14))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6))*1i)/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) + ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) + 32*A*b^2*c^17*d^27*e^3 - 432*A*b^3*c^16*d^26*e^4 + 2720*A*b^4*c^15*d^25*e^5 - 10600*A*b^5*c^14*d^24*e^6 + 28608*A*b^6*c^13*d^23*e^7 - 56672*A*b^7*c^12*d^22*e^8 + 85184*A*b^8*c^11*d^21*e^9 - 99000*A*b^9*c^10*d^20*e^10 + 89760*A*b^10*c^9*d^19*e^11 - 63536*A*b^11*c^8*d^18*e^12 + 34848*A*b^12*c^7*d^17*e^13 - 14552*A*b^13*c^6*d^16*e^14 + 4480*A*b^14*c^5*d^15*e^15 - 960*A*b^15*c^4*d^14*e^16 + 128*A*b^16*c^3*d^13*e^17 - 8*A*b^17*c^2*d^12*e^18 - 8*B*b^2*c^17*d^28*e^2 + 96*B*b^3*c^16*d^27*e^3 - 528*B*b^4*c^15*d^26*e^4 + 1760*B*b^5*c^14*d^25*e^5 - 3960*B*b^6*c^13*d^24*e^6 + 6336*B*b^7*c^12*d^23*e^7 - 7392*B*b^8*c^11*d^22*e^8 + 6336*B*b^9*c^10*d^21*e^9 - 3960*B*b^10*c^9*d^20*e^10 + 1760*B*b^11*c^8*d^19*e^11 - 528*B*b^12*c^7*d^18*e^12 + 96*B*b^13*c^6*d^17*e^13 - 8*B*b^14*c^5*d^16*e^14))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6))*1i)/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6))/(((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) + 32*A*b^2*c^17*d^27*e^3 - 432*A*b^3*c^16*d^26*e^4 + 2720*A*b^4*c^15*d^25*e^5 - 10600*A*b^5*c^14*d^24*e^6 + 28608*A*b^6*c^13*d^23*e^7 - 56672*A*b^7*c^12*d^22*e^8 + 85184*A*b^8*c^11*d^21*e^9 - 99000*A*b^9*c^10*d^20*e^10 + 89760*A*b^10*c^9*d^19*e^11 - 63536*A*b^11*c^8*d^18*e^12 + 34848*A*b^12*c^7*d^17*e^13 - 14552*A*b^13*c^6*d^16*e^14 + 4480*A*b^14*c^5*d^15*e^15 - 960*A*b^15*c^4*d^14*e^16 + 128*A*b^16*c^3*d^13*e^17 - 8*A*b^17*c^2*d^12*e^18 - 8*B*b^2*c^17*d^28*e^2 + 96*B*b^3*c^16*d^27*e^3 - 528*B*b^4*c^15*d^26*e^4 + 1760*B*b^5*c^14*d^25*e^5 - 3960*B*b^6*c^13*d^24*e^6 + 6336*B*b^7*c^12*d^23*e^7 - 7392*B*b^8*c^11*d^22*e^8 + 6336*B*b^9*c^10*d^21*e^9 - 3960*B*b^10*c^9*d^20*e^10 + 1760*B*b^11*c^8*d^19*e^11 - 528*B*b^12*c^7*d^18*e^12 + 96*B*b^13*c^6*d^17*e^13 - 8*B*b^14*c^5*d^16*e^14))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6)))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) - ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - ((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(((-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) - 32*A*b^2*c^17*d^27*e^3 + 432*A*b^3*c^16*d^26*e^4 - 2720*A*b^4*c^15*d^25*e^5 + 10600*A*b^5*c^14*d^24*e^6 - 28608*A*b^6*c^13*d^23*e^7 + 56672*A*b^7*c^12*d^22*e^8 - 85184*A*b^8*c^11*d^21*e^9 + 99000*A*b^9*c^10*d^20*e^10 - 89760*A*b^10*c^9*d^19*e^11 + 63536*A*b^11*c^8*d^18*e^12 - 34848*A*b^12*c^7*d^17*e^13 + 14552*A*b^13*c^6*d^16*e^14 - 4480*A*b^14*c^5*d^15*e^15 + 960*A*b^15*c^4*d^14*e^16 - 128*A*b^16*c^3*d^13*e^17 + 8*A*b^17*c^2*d^12*e^18 + 8*B*b^2*c^17*d^28*e^2 - 96*B*b^3*c^16*d^27*e^3 + 528*B*b^4*c^15*d^26*e^4 - 1760*B*b^5*c^14*d^25*e^5 + 3960*B*b^6*c^13*d^24*e^6 - 6336*B*b^7*c^12*d^23*e^7 + 7392*B*b^8*c^11*d^22*e^8 - 6336*B*b^9*c^10*d^21*e^9 + 3960*B*b^10*c^9*d^20*e^10 - 1760*B*b^11*c^8*d^19*e^11 + 528*B*b^12*c^7*d^18*e^12 - 96*B*b^13*c^6*d^17*e^13 + 8*B*b^14*c^5*d^16*e^14))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6)))/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) - 48*A^3*c^17*d^20*e^3 - 2176*A^3*b^2*c^15*d^18*e^5 + 5904*A^3*b^3*c^14*d^17*e^6 - 10656*A^3*b^4*c^13*d^16*e^7 + 13440*A^3*b^5*c^12*d^15*e^8 - 12096*A^3*b^6*c^11*d^14*e^9 + 7776*A^3*b^7*c^10*d^13*e^10 - 3504*A^3*b^8*c^9*d^12*e^11 + 1056*A^3*b^9*c^8*d^11*e^12 - 192*A^3*b^10*c^7*d^10*e^13 + 16*A^3*b^11*c^6*d^9*e^14 + 16*A^2*B*c^17*d^21*e^2 + 480*A^3*b*c^16*d^19*e^4 + 144*A*B^2*b^2*c^15*d^20*e^3 - 576*A*B^2*b^3*c^14*d^19*e^4 + 1344*A*B^2*b^4*c^13*d^18*e^5 - 2016*A*B^2*b^5*c^12*d^17*e^6 + 2016*A*B^2*b^6*c^11*d^16*e^7 - 1344*A*B^2*b^7*c^10*d^15*e^8 + 576*A*B^2*b^8*c^9*d^14*e^9 - 144*A*B^2*b^9*c^8*d^13*e^10 + 16*A*B^2*b^10*c^7*d^12*e^11 + 96*A^2*B*b^2*c^15*d^19*e^4 + 832*A^2*B*b^3*c^14*d^18*e^5 - 3888*A^2*B*b^4*c^13*d^17*e^6 + 8640*A^2*B*b^5*c^12*d^16*e^7 - 12096*A^2*B*b^6*c^11*d^15*e^8 + 11520*A^2*B*b^7*c^10*d^14*e^9 - 7632*A^2*B*b^8*c^9*d^13*e^10 + 3488*A^2*B*b^9*c^8*d^12*e^11 - 1056*A^2*B*b^10*c^7*d^11*e^12 + 192*A^2*B*b^11*c^6*d^10*e^13 - 16*A^2*B*b^12*c^5*d^9*e^14 - 16*A*B^2*b*c^16*d^21*e^2 - 96*A^2*B*b*c^16*d^20*e^3))*(-c^5*(b*e - c*d)^7)^(1/2)*(A*c - B*b)*2i)/(b^8*e^7 - b*c^7*d^7 + 7*b^2*c^6*d^6*e - 21*b^3*c^5*d^5*e^2 + 35*b^4*c^4*d^4*e^3 - 35*b^5*c^3*d^3*e^4 + 21*b^6*c^2*d^2*e^5 - 7*b^7*c*d*e^6) - (A*atan(((A*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - (A*((A*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b*(d^7)^(1/2)) - 32*A*b^2*c^17*d^27*e^3 + 432*A*b^3*c^16*d^26*e^4 - 2720*A*b^4*c^15*d^25*e^5 + 10600*A*b^5*c^14*d^24*e^6 - 28608*A*b^6*c^13*d^23*e^7 + 56672*A*b^7*c^12*d^22*e^8 - 85184*A*b^8*c^11*d^21*e^9 + 99000*A*b^9*c^10*d^20*e^10 - 89760*A*b^10*c^9*d^19*e^11 + 63536*A*b^11*c^8*d^18*e^12 - 34848*A*b^12*c^7*d^17*e^13 + 14552*A*b^13*c^6*d^16*e^14 - 4480*A*b^14*c^5*d^15*e^15 + 960*A*b^15*c^4*d^14*e^16 - 128*A*b^16*c^3*d^13*e^17 + 8*A*b^17*c^2*d^12*e^18 + 8*B*b^2*c^17*d^28*e^2 - 96*B*b^3*c^16*d^27*e^3 + 528*B*b^4*c^15*d^26*e^4 - 1760*B*b^5*c^14*d^25*e^5 + 3960*B*b^6*c^13*d^24*e^6 - 6336*B*b^7*c^12*d^23*e^7 + 7392*B*b^8*c^11*d^22*e^8 - 6336*B*b^9*c^10*d^21*e^9 + 3960*B*b^10*c^9*d^20*e^10 - 1760*B*b^11*c^8*d^19*e^11 + 528*B*b^12*c^7*d^18*e^12 - 96*B*b^13*c^6*d^17*e^13 + 8*B*b^14*c^5*d^16*e^14))/(b*(d^7)^(1/2)))*1i)/(b*(d^7)^(1/2)) + (A*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - (A*((A*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b*(d^7)^(1/2)) + 32*A*b^2*c^17*d^27*e^3 - 432*A*b^3*c^16*d^26*e^4 + 2720*A*b^4*c^15*d^25*e^5 - 10600*A*b^5*c^14*d^24*e^6 + 28608*A*b^6*c^13*d^23*e^7 - 56672*A*b^7*c^12*d^22*e^8 + 85184*A*b^8*c^11*d^21*e^9 - 99000*A*b^9*c^10*d^20*e^10 + 89760*A*b^10*c^9*d^19*e^11 - 63536*A*b^11*c^8*d^18*e^12 + 34848*A*b^12*c^7*d^17*e^13 - 14552*A*b^13*c^6*d^16*e^14 + 4480*A*b^14*c^5*d^15*e^15 - 960*A*b^15*c^4*d^14*e^16 + 128*A*b^16*c^3*d^13*e^17 - 8*A*b^17*c^2*d^12*e^18 - 8*B*b^2*c^17*d^28*e^2 + 96*B*b^3*c^16*d^27*e^3 - 528*B*b^4*c^15*d^26*e^4 + 1760*B*b^5*c^14*d^25*e^5 - 3960*B*b^6*c^13*d^24*e^6 + 6336*B*b^7*c^12*d^23*e^7 - 7392*B*b^8*c^11*d^22*e^8 + 6336*B*b^9*c^10*d^21*e^9 - 3960*B*b^10*c^9*d^20*e^10 + 1760*B*b^11*c^8*d^19*e^11 - 528*B*b^12*c^7*d^18*e^12 + 96*B*b^13*c^6*d^17*e^13 - 8*B*b^14*c^5*d^16*e^14))/(b*(d^7)^(1/2)))*1i)/(b*(d^7)^(1/2)))/((A*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - (A*((A*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b*(d^7)^(1/2)) + 32*A*b^2*c^17*d^27*e^3 - 432*A*b^3*c^16*d^26*e^4 + 2720*A*b^4*c^15*d^25*e^5 - 10600*A*b^5*c^14*d^24*e^6 + 28608*A*b^6*c^13*d^23*e^7 - 56672*A*b^7*c^12*d^22*e^8 + 85184*A*b^8*c^11*d^21*e^9 - 99000*A*b^9*c^10*d^20*e^10 + 89760*A*b^10*c^9*d^19*e^11 - 63536*A*b^11*c^8*d^18*e^12 + 34848*A*b^12*c^7*d^17*e^13 - 14552*A*b^13*c^6*d^16*e^14 + 4480*A*b^14*c^5*d^15*e^15 - 960*A*b^15*c^4*d^14*e^16 + 128*A*b^16*c^3*d^13*e^17 - 8*A*b^17*c^2*d^12*e^18 - 8*B*b^2*c^17*d^28*e^2 + 96*B*b^3*c^16*d^27*e^3 - 528*B*b^4*c^15*d^26*e^4 + 1760*B*b^5*c^14*d^25*e^5 - 3960*B*b^6*c^13*d^24*e^6 + 6336*B*b^7*c^12*d^23*e^7 - 7392*B*b^8*c^11*d^22*e^8 + 6336*B*b^9*c^10*d^21*e^9 - 3960*B*b^10*c^9*d^20*e^10 + 1760*B*b^11*c^8*d^19*e^11 - 528*B*b^12*c^7*d^18*e^12 + 96*B*b^13*c^6*d^17*e^13 - 8*B*b^14*c^5*d^16*e^14))/(b*(d^7)^(1/2))))/(b*(d^7)^(1/2)) - (A*((d + e*x)^(1/2)*(16*A^2*c^18*d^24*e^2 + 1128*A^2*b^2*c^16*d^22*e^4 - 4312*A^2*b^3*c^15*d^21*e^5 + 11928*A^2*b^4*c^14*d^20*e^6 - 25032*A^2*b^5*c^13*d^19*e^7 + 40712*A^2*b^6*c^12*d^18*e^8 - 51768*A^2*b^7*c^11*d^17*e^9 + 51552*A^2*b^8*c^10*d^16*e^10 - 40048*A^2*b^9*c^9*d^15*e^11 + 24024*A^2*b^10*c^8*d^14*e^12 - 10920*A^2*b^11*c^7*d^13*e^13 + 3640*A^2*b^12*c^6*d^12*e^14 - 840*A^2*b^13*c^5*d^11*e^15 + 120*A^2*b^14*c^4*d^10*e^16 - 8*A^2*b^15*c^3*d^9*e^17 + 8*B^2*b^2*c^16*d^24*e^2 - 72*B^2*b^3*c^15*d^23*e^3 + 288*B^2*b^4*c^14*d^22*e^4 - 672*B^2*b^5*c^13*d^21*e^5 + 1008*B^2*b^6*c^12*d^20*e^6 - 1008*B^2*b^7*c^11*d^19*e^7 + 672*B^2*b^8*c^10*d^18*e^8 - 288*B^2*b^9*c^9*d^17*e^9 + 72*B^2*b^10*c^8*d^16*e^10 - 8*B^2*b^11*c^7*d^15*e^11 - 192*A^2*b*c^17*d^23*e^3 - 16*A*B*b*c^17*d^24*e^2 + 144*A*B*b^2*c^16*d^23*e^3 - 576*A*B*b^3*c^15*d^22*e^4 + 1344*A*B*b^4*c^14*d^21*e^5 - 2016*A*B*b^5*c^13*d^20*e^6 + 2016*A*B*b^6*c^12*d^19*e^7 - 1344*A*B*b^7*c^11*d^18*e^8 + 576*A*B*b^8*c^10*d^17*e^9 - 144*A*B*b^9*c^9*d^16*e^10 + 16*A*B*b^10*c^8*d^15*e^11) - (A*((A*(d + e*x)^(1/2)*(16*b^2*c^18*d^31*e^2 - 248*b^3*c^17*d^30*e^3 + 1800*b^4*c^16*d^29*e^4 - 8120*b^5*c^15*d^28*e^5 + 25480*b^6*c^14*d^27*e^6 - 58968*b^7*c^13*d^26*e^7 + 104104*b^8*c^12*d^25*e^8 - 143000*b^9*c^11*d^24*e^9 + 154440*b^10*c^10*d^23*e^10 - 131560*b^11*c^9*d^22*e^11 + 88088*b^12*c^8*d^21*e^12 - 45864*b^13*c^7*d^20*e^13 + 18200*b^14*c^6*d^19*e^14 - 5320*b^15*c^5*d^18*e^15 + 1080*b^16*c^4*d^17*e^16 - 136*b^17*c^3*d^16*e^17 + 8*b^18*c^2*d^15*e^18))/(b*(d^7)^(1/2)) - 32*A*b^2*c^17*d^27*e^3 + 432*A*b^3*c^16*d^26*e^4 - 2720*A*b^4*c^15*d^25*e^5 + 10600*A*b^5*c^14*d^24*e^6 - 28608*A*b^6*c^13*d^23*e^7 + 56672*A*b^7*c^12*d^22*e^8 - 85184*A*b^8*c^11*d^21*e^9 + 99000*A*b^9*c^10*d^20*e^10 - 89760*A*b^10*c^9*d^19*e^11 + 63536*A*b^11*c^8*d^18*e^12 - 34848*A*b^12*c^7*d^17*e^13 + 14552*A*b^13*c^6*d^16*e^14 - 4480*A*b^14*c^5*d^15*e^15 + 960*A*b^15*c^4*d^14*e^16 - 128*A*b^16*c^3*d^13*e^17 + 8*A*b^17*c^2*d^12*e^18 + 8*B*b^2*c^17*d^28*e^2 - 96*B*b^3*c^16*d^27*e^3 + 528*B*b^4*c^15*d^26*e^4 - 1760*B*b^5*c^14*d^25*e^5 + 3960*B*b^6*c^13*d^24*e^6 - 6336*B*b^7*c^12*d^23*e^7 + 7392*B*b^8*c^11*d^22*e^8 - 6336*B*b^9*c^10*d^21*e^9 + 3960*B*b^10*c^9*d^20*e^10 - 1760*B*b^11*c^8*d^19*e^11 + 528*B*b^12*c^7*d^18*e^12 - 96*B*b^13*c^6*d^17*e^13 + 8*B*b^14*c^5*d^16*e^14))/(b*(d^7)^(1/2))))/(b*(d^7)^(1/2)) - 48*A^3*c^17*d^20*e^3 - 2176*A^3*b^2*c^15*d^18*e^5 + 5904*A^3*b^3*c^14*d^17*e^6 - 10656*A^3*b^4*c^13*d^16*e^7 + 13440*A^3*b^5*c^12*d^15*e^8 - 12096*A^3*b^6*c^11*d^14*e^9 + 7776*A^3*b^7*c^10*d^13*e^10 - 3504*A^3*b^8*c^9*d^12*e^11 + 1056*A^3*b^9*c^8*d^11*e^12 - 192*A^3*b^10*c^7*d^10*e^13 + 16*A^3*b^11*c^6*d^9*e^14 + 16*A^2*B*c^17*d^21*e^2 + 480*A^3*b*c^16*d^19*e^4 + 144*A*B^2*b^2*c^15*d^20*e^3 - 576*A*B^2*b^3*c^14*d^19*e^4 + 1344*A*B^2*b^4*c^13*d^18*e^5 - 2016*A*B^2*b^5*c^12*d^17*e^6 + 2016*A*B^2*b^6*c^11*d^16*e^7 - 1344*A*B^2*b^7*c^10*d^15*e^8 + 576*A*B^2*b^8*c^9*d^14*e^9 - 144*A*B^2*b^9*c^8*d^13*e^10 + 16*A*B^2*b^10*c^7*d^12*e^11 + 96*A^2*B*b^2*c^15*d^19*e^4 + 832*A^2*B*b^3*c^14*d^18*e^5 - 3888*A^2*B*b^4*c^13*d^17*e^6 + 8640*A^2*B*b^5*c^12*d^16*e^7 - 12096*A^2*B*b^6*c^11*d^15*e^8 + 11520*A^2*B*b^7*c^10*d^14*e^9 - 7632*A^2*B*b^8*c^9*d^13*e^10 + 3488*A^2*B*b^9*c^8*d^12*e^11 - 1056*A^2*B*b^10*c^7*d^11*e^12 + 192*A^2*B*b^11*c^6*d^10*e^13 - 16*A^2*B*b^12*c^5*d^9*e^14 - 16*A*B^2*b*c^16*d^21*e^2 - 96*A^2*B*b*c^16*d^20*e^3))*2i)/(b*(d^7)^(1/2))","B"
1237,1,11601,301,5.646402,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)*(d + e*x)^(9/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{7\,\left(c\,d^2-b\,d\,e\right)}-\frac{2\,{\left(d+e\,x\right)}^3\,\left(A\,b^3\,e^4-4\,A\,b^2\,c\,d\,e^3+6\,A\,b\,c^2\,d^2\,e^2+B\,c^3\,d^4-4\,A\,c^3\,d^3\,e\right)}{{\left(c\,d^2-b\,d\,e\right)}^4}+\frac{2\,{\left(d+e\,x\right)}^2\,\left(A\,b^2\,e^3-3\,A\,b\,c\,d\,e^2-B\,c^2\,d^3+3\,A\,c^2\,d^2\,e\right)}{3\,{\left(c\,d^2-b\,d\,e\right)}^3}-\frac{2\,\left(d+e\,x\right)\,\left(B\,c\,d^2-2\,A\,c\,d\,e+A\,b\,e^2\right)}{5\,{\left(c\,d^2-b\,d\,e\right)}^2}}{{\left(d+e\,x\right)}^{7/2}}+\frac{A\,\mathrm{atan}\left(\frac{B^2\,b^2\,c^{19}\,d^{41}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+A^2\,b^{21}\,d^{20}\,e^{21}\,\sqrt{d+e\,x}\,1{}\mathrm{i}-A^2\,b^{20}\,c\,d^{21}\,e^{20}\,\sqrt{d+e\,x}\,21{}\mathrm{i}-B^2\,b^3\,c^{18}\,d^{40}\,e\,\sqrt{d+e\,x}\,12{}\mathrm{i}-A\,B\,b\,c^{20}\,d^{41}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-A^2\,b^2\,c^{19}\,d^{39}\,e^2\,\sqrt{d+e\,x}\,144{}\mathrm{i}+A^2\,b^3\,c^{18}\,d^{38}\,e^3\,\sqrt{d+e\,x}\,1110{}\mathrm{i}-A^2\,b^4\,c^{17}\,d^{37}\,e^4\,\sqrt{d+e\,x}\,5490{}\mathrm{i}+A^2\,b^5\,c^{16}\,d^{36}\,e^5\,\sqrt{d+e\,x}\,19557{}\mathrm{i}-A^2\,b^6\,c^{15}\,d^{35}\,e^6\,\sqrt{d+e\,x}\,53340{}\mathrm{i}+A^2\,b^7\,c^{14}\,d^{34}\,e^7\,\sqrt{d+e\,x}\,115488{}\mathrm{i}-A^2\,b^8\,c^{13}\,d^{33}\,e^8\,\sqrt{d+e\,x}\,202995{}\mathrm{i}+A^2\,b^9\,c^{12}\,d^{32}\,e^9\,\sqrt{d+e\,x}\,293710{}\mathrm{i}-A^2\,b^{10}\,c^{11}\,d^{31}\,e^{10}\,\sqrt{d+e\,x}\,352650{}\mathrm{i}+A^2\,b^{11}\,c^{10}\,d^{30}\,e^{11}\,\sqrt{d+e\,x}\,352704{}\mathrm{i}-A^2\,b^{12}\,c^9\,d^{29}\,e^{12}\,\sqrt{d+e\,x}\,293929{}\mathrm{i}+A^2\,b^{13}\,c^8\,d^{28}\,e^{13}\,\sqrt{d+e\,x}\,203490{}\mathrm{i}-A^2\,b^{14}\,c^7\,d^{27}\,e^{14}\,\sqrt{d+e\,x}\,116280{}\mathrm{i}+A^2\,b^{15}\,c^6\,d^{26}\,e^{15}\,\sqrt{d+e\,x}\,54264{}\mathrm{i}-A^2\,b^{16}\,c^5\,d^{25}\,e^{16}\,\sqrt{d+e\,x}\,20349{}\mathrm{i}+A^2\,b^{17}\,c^4\,d^{24}\,e^{17}\,\sqrt{d+e\,x}\,5985{}\mathrm{i}-A^2\,b^{18}\,c^3\,d^{23}\,e^{18}\,\sqrt{d+e\,x}\,1330{}\mathrm{i}+A^2\,b^{19}\,c^2\,d^{22}\,e^{19}\,\sqrt{d+e\,x}\,210{}\mathrm{i}+B^2\,b^4\,c^{17}\,d^{39}\,e^2\,\sqrt{d+e\,x}\,66{}\mathrm{i}-B^2\,b^5\,c^{16}\,d^{38}\,e^3\,\sqrt{d+e\,x}\,220{}\mathrm{i}+B^2\,b^6\,c^{15}\,d^{37}\,e^4\,\sqrt{d+e\,x}\,495{}\mathrm{i}-B^2\,b^7\,c^{14}\,d^{36}\,e^5\,\sqrt{d+e\,x}\,792{}\mathrm{i}+B^2\,b^8\,c^{13}\,d^{35}\,e^6\,\sqrt{d+e\,x}\,924{}\mathrm{i}-B^2\,b^9\,c^{12}\,d^{34}\,e^7\,\sqrt{d+e\,x}\,792{}\mathrm{i}+B^2\,b^{10}\,c^{11}\,d^{33}\,e^8\,\sqrt{d+e\,x}\,495{}\mathrm{i}-B^2\,b^{11}\,c^{10}\,d^{32}\,e^9\,\sqrt{d+e\,x}\,220{}\mathrm{i}+B^2\,b^{12}\,c^9\,d^{31}\,e^{10}\,\sqrt{d+e\,x}\,66{}\mathrm{i}-B^2\,b^{13}\,c^8\,d^{30}\,e^{11}\,\sqrt{d+e\,x}\,12{}\mathrm{i}+B^2\,b^{14}\,c^7\,d^{29}\,e^{12}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+A^2\,b\,c^{20}\,d^{40}\,e\,\sqrt{d+e\,x}\,9{}\mathrm{i}-A\,B\,b^3\,c^{18}\,d^{39}\,e^2\,\sqrt{d+e\,x}\,132{}\mathrm{i}+A\,B\,b^4\,c^{17}\,d^{38}\,e^3\,\sqrt{d+e\,x}\,440{}\mathrm{i}-A\,B\,b^5\,c^{16}\,d^{37}\,e^4\,\sqrt{d+e\,x}\,990{}\mathrm{i}+A\,B\,b^6\,c^{15}\,d^{36}\,e^5\,\sqrt{d+e\,x}\,1584{}\mathrm{i}-A\,B\,b^7\,c^{14}\,d^{35}\,e^6\,\sqrt{d+e\,x}\,1848{}\mathrm{i}+A\,B\,b^8\,c^{13}\,d^{34}\,e^7\,\sqrt{d+e\,x}\,1584{}\mathrm{i}-A\,B\,b^9\,c^{12}\,d^{33}\,e^8\,\sqrt{d+e\,x}\,990{}\mathrm{i}+A\,B\,b^{10}\,c^{11}\,d^{32}\,e^9\,\sqrt{d+e\,x}\,440{}\mathrm{i}-A\,B\,b^{11}\,c^{10}\,d^{31}\,e^{10}\,\sqrt{d+e\,x}\,132{}\mathrm{i}+A\,B\,b^{12}\,c^9\,d^{30}\,e^{11}\,\sqrt{d+e\,x}\,24{}\mathrm{i}-A\,B\,b^{13}\,c^8\,d^{29}\,e^{12}\,\sqrt{d+e\,x}\,2{}\mathrm{i}+A\,B\,b^2\,c^{19}\,d^{40}\,e\,\sqrt{d+e\,x}\,24{}\mathrm{i}}{d^9\,\sqrt{d^9}\,\left(d^9\,\left(d^9\,\left(d^9\,\left(9\,e\,A^2\,b\,c^{20}+24\,e\,A\,B\,b^2\,c^{19}-2\,d\,A\,B\,b\,c^{20}-12\,e\,B^2\,b^3\,c^{18}+d\,B^2\,b^2\,c^{19}\right)-352650\,A^2\,b^{10}\,c^{11}\,e^{10}+66\,B^2\,b^{12}\,c^9\,e^{10}-144\,A^2\,b^2\,c^{19}\,d^8\,e^2+1110\,A^2\,b^3\,c^{18}\,d^7\,e^3-5490\,A^2\,b^4\,c^{17}\,d^6\,e^4+19557\,A^2\,b^5\,c^{16}\,d^5\,e^5-53340\,A^2\,b^6\,c^{15}\,d^4\,e^6+115488\,A^2\,b^7\,c^{14}\,d^3\,e^7-202995\,A^2\,b^8\,c^{13}\,d^2\,e^8+66\,B^2\,b^4\,c^{17}\,d^8\,e^2-220\,B^2\,b^5\,c^{16}\,d^7\,e^3+495\,B^2\,b^6\,c^{15}\,d^6\,e^4-792\,B^2\,b^7\,c^{14}\,d^5\,e^5+924\,B^2\,b^8\,c^{13}\,d^4\,e^6-792\,B^2\,b^9\,c^{12}\,d^3\,e^7+495\,B^2\,b^{10}\,c^{11}\,d^2\,e^8-132\,A\,B\,b^{11}\,c^{10}\,e^{10}+293710\,A^2\,b^9\,c^{12}\,d\,e^9-220\,B^2\,b^{11}\,c^{10}\,d\,e^9+440\,A\,B\,b^{10}\,c^{11}\,d\,e^9-132\,A\,B\,b^3\,c^{18}\,d^8\,e^2+440\,A\,B\,b^4\,c^{17}\,d^7\,e^3-990\,A\,B\,b^5\,c^{16}\,d^6\,e^4+1584\,A\,B\,b^6\,c^{15}\,d^5\,e^5-1848\,A\,B\,b^7\,c^{14}\,d^4\,e^6+1584\,A\,B\,b^8\,c^{13}\,d^3\,e^7-990\,A\,B\,b^9\,c^{12}\,d^2\,e^8\right)+210\,A^2\,b^{19}\,c^2\,e^{19}+352704\,A^2\,b^{11}\,c^{10}\,d^8\,e^{11}-293929\,A^2\,b^{12}\,c^9\,d^7\,e^{12}+203490\,A^2\,b^{13}\,c^8\,d^6\,e^{13}-116280\,A^2\,b^{14}\,c^7\,d^5\,e^{14}+54264\,A^2\,b^{15}\,c^6\,d^4\,e^{15}-20349\,A^2\,b^{16}\,c^5\,d^3\,e^{16}+5985\,A^2\,b^{17}\,c^4\,d^2\,e^{17}-12\,B^2\,b^{13}\,c^8\,d^8\,e^{11}+B^2\,b^{14}\,c^7\,d^7\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^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}}{\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{20}\,c^3\,d^{12}\,e^{22}-160\,A^2\,b^{19}\,c^4\,d^{13}\,e^{21}+1520\,A^2\,b^{18}\,c^5\,d^{14}\,e^{20}-9120\,A^2\,b^{17}\,c^6\,d^{15}\,e^{19}+38760\,A^2\,b^{16}\,c^7\,d^{16}\,e^{18}-124032\,A^2\,b^{15}\,c^8\,d^{17}\,e^{17}+310080\,A^2\,b^{14}\,c^9\,d^{18}\,e^{16}-620160\,A^2\,b^{13}\,c^{10}\,d^{19}\,e^{15}+1007768\,A^2\,b^{12}\,c^{11}\,d^{20}\,e^{14}-1343776\,A^2\,b^{11}\,c^{12}\,d^{21}\,e^{13}+1478576\,A^2\,b^{10}\,c^{13}\,d^{22}\,e^{12}-1345440\,A^2\,b^9\,c^{14}\,d^{23}\,e^{11}+1011720\,A^2\,b^8\,c^{15}\,d^{24}\,e^{10}-626496\,A^2\,b^7\,c^{16}\,d^{25}\,e^9+317472\,A^2\,b^6\,c^{17}\,d^{26}\,e^8-130368\,A^2\,b^5\,c^{18}\,d^{27}\,e^7+42720\,A^2\,b^4\,c^{19}\,d^{28}\,e^6-10880\,A^2\,b^3\,c^{20}\,d^{29}\,e^5+2048\,A^2\,b^2\,c^{21}\,d^{30}\,e^4-256\,A^2\,b\,c^{22}\,d^{31}\,e^3+16\,A^2\,c^{23}\,d^{32}\,e^2-16\,A\,B\,b^{13}\,c^{10}\,d^{20}\,e^{14}+192\,A\,B\,b^{12}\,c^{11}\,d^{21}\,e^{13}-1056\,A\,B\,b^{11}\,c^{12}\,d^{22}\,e^{12}+3520\,A\,B\,b^{10}\,c^{13}\,d^{23}\,e^{11}-7920\,A\,B\,b^9\,c^{14}\,d^{24}\,e^{10}+12672\,A\,B\,b^8\,c^{15}\,d^{25}\,e^9-14784\,A\,B\,b^7\,c^{16}\,d^{26}\,e^8+12672\,A\,B\,b^6\,c^{17}\,d^{27}\,e^7-7920\,A\,B\,b^5\,c^{18}\,d^{28}\,e^6+3520\,A\,B\,b^4\,c^{19}\,d^{29}\,e^5-1056\,A\,B\,b^3\,c^{20}\,d^{30}\,e^4+192\,A\,B\,b^2\,c^{21}\,d^{31}\,e^3-16\,A\,B\,b\,c^{22}\,d^{32}\,e^2+8\,B^2\,b^{14}\,c^9\,d^{20}\,e^{14}-96\,B^2\,b^{13}\,c^{10}\,d^{21}\,e^{13}+528\,B^2\,b^{12}\,c^{11}\,d^{22}\,e^{12}-1760\,B^2\,b^{11}\,c^{12}\,d^{23}\,e^{11}+3960\,B^2\,b^{10}\,c^{13}\,d^{24}\,e^{10}-6336\,B^2\,b^9\,c^{14}\,d^{25}\,e^9+7392\,B^2\,b^8\,c^{15}\,d^{26}\,e^8-6336\,B^2\,b^7\,c^{16}\,d^{27}\,e^7+3960\,B^2\,b^6\,c^{17}\,d^{28}\,e^6-1760\,B^2\,b^5\,c^{18}\,d^{29}\,e^5+528\,B^2\,b^4\,c^{19}\,d^{30}\,e^4-96\,B^2\,b^3\,c^{20}\,d^{31}\,e^3+8\,B^2\,b^2\,c^{21}\,d^{32}\,e^2\right)-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{23}\,c^2\,d^{20}\,e^{23}+176\,b^{22}\,c^3\,d^{21}\,e^{22}-1840\,b^{21}\,c^4\,d^{22}\,e^{21}+12160\,b^{20}\,c^5\,d^{23}\,e^{20}-57000\,b^{19}\,c^6\,d^{24}\,e^{19}+201552\,b^{18}\,c^7\,d^{25}\,e^{18}-558144\,b^{17}\,c^8\,d^{26}\,e^{17}+1240320\,b^{16}\,c^9\,d^{27}\,e^{16}-2248080\,b^{15}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{14}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{13}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{12}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{11}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{10}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^9\,c^{16}\,d^{34}\,e^9+744192\,b^8\,c^{17}\,d^{35}\,e^8-286824\,b^7\,c^{18}\,d^{36}\,e^7+86640\,b^6\,c^{19}\,d^{37}\,e^6-19760\,b^5\,c^{20}\,d^{38}\,e^5+3200\,b^4\,c^{21}\,d^{39}\,e^4-328\,b^3\,c^{22}\,d^{40}\,e^3+16\,b^2\,c^{23}\,d^{41}\,e^2\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}-40\,A\,b^2\,c^{22}\,d^{36}\,e^3+720\,A\,b^3\,c^{21}\,d^{35}\,e^4-6160\,A\,b^4\,c^{20}\,d^{34}\,e^5+33320\,A\,b^5\,c^{19}\,d^{33}\,e^6-127848\,A\,b^6\,c^{18}\,d^{32}\,e^7+370048\,A\,b^7\,c^{17}\,d^{31}\,e^8-838720\,A\,b^8\,c^{16}\,d^{30}\,e^9+1524960\,A\,b^9\,c^{15}\,d^{29}\,e^{10}-2259920\,A\,b^{10}\,c^{14}\,d^{28}\,e^{11}+2757664\,A\,b^{11}\,c^{13}\,d^{27}\,e^{12}-2786784\,A\,b^{12}\,c^{12}\,d^{26}\,e^{13}+2336880\,A\,b^{13}\,c^{11}\,d^{25}\,e^{14}-1623440\,A\,b^{14}\,c^{10}\,d^{24}\,e^{15}+929280\,A\,b^{15}\,c^9\,d^{23}\,e^{16}-433984\,A\,b^{16}\,c^8\,d^{22}\,e^{17}+162784\,A\,b^{17}\,c^7\,d^{21}\,e^{18}-47880\,A\,b^{18}\,c^6\,d^{20}\,e^{19}+10640\,A\,b^{19}\,c^5\,d^{19}\,e^{20}-1680\,A\,b^{20}\,c^4\,d^{18}\,e^{21}+168\,A\,b^{21}\,c^3\,d^{17}\,e^{22}-8\,A\,b^{22}\,c^2\,d^{16}\,e^{23}+8\,B\,b^2\,c^{22}\,d^{37}\,e^2-128\,B\,b^3\,c^{21}\,d^{36}\,e^3+960\,B\,b^4\,c^{20}\,d^{35}\,e^4-4480\,B\,b^5\,c^{19}\,d^{34}\,e^5+14560\,B\,b^6\,c^{18}\,d^{33}\,e^6-34944\,B\,b^7\,c^{17}\,d^{32}\,e^7+64064\,B\,b^8\,c^{16}\,d^{31}\,e^8-91520\,B\,b^9\,c^{15}\,d^{30}\,e^9+102960\,B\,b^{10}\,c^{14}\,d^{29}\,e^{10}-91520\,B\,b^{11}\,c^{13}\,d^{28}\,e^{11}+64064\,B\,b^{12}\,c^{12}\,d^{27}\,e^{12}-34944\,B\,b^{13}\,c^{11}\,d^{26}\,e^{13}+14560\,B\,b^{14}\,c^{10}\,d^{25}\,e^{14}-4480\,B\,b^{15}\,c^9\,d^{24}\,e^{15}+960\,B\,b^{16}\,c^8\,d^{23}\,e^{16}-128\,B\,b^{17}\,c^7\,d^{22}\,e^{17}+8\,B\,b^{18}\,c^6\,d^{21}\,e^{18}\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\left(\sqrt{d+e\,x}\,\left(8\,A^2\,b^{20}\,c^3\,d^{12}\,e^{22}-160\,A^2\,b^{19}\,c^4\,d^{13}\,e^{21}+1520\,A^2\,b^{18}\,c^5\,d^{14}\,e^{20}-9120\,A^2\,b^{17}\,c^6\,d^{15}\,e^{19}+38760\,A^2\,b^{16}\,c^7\,d^{16}\,e^{18}-124032\,A^2\,b^{15}\,c^8\,d^{17}\,e^{17}+310080\,A^2\,b^{14}\,c^9\,d^{18}\,e^{16}-620160\,A^2\,b^{13}\,c^{10}\,d^{19}\,e^{15}+1007768\,A^2\,b^{12}\,c^{11}\,d^{20}\,e^{14}-1343776\,A^2\,b^{11}\,c^{12}\,d^{21}\,e^{13}+1478576\,A^2\,b^{10}\,c^{13}\,d^{22}\,e^{12}-1345440\,A^2\,b^9\,c^{14}\,d^{23}\,e^{11}+1011720\,A^2\,b^8\,c^{15}\,d^{24}\,e^{10}-626496\,A^2\,b^7\,c^{16}\,d^{25}\,e^9+317472\,A^2\,b^6\,c^{17}\,d^{26}\,e^8-130368\,A^2\,b^5\,c^{18}\,d^{27}\,e^7+42720\,A^2\,b^4\,c^{19}\,d^{28}\,e^6-10880\,A^2\,b^3\,c^{20}\,d^{29}\,e^5+2048\,A^2\,b^2\,c^{21}\,d^{30}\,e^4-256\,A^2\,b\,c^{22}\,d^{31}\,e^3+16\,A^2\,c^{23}\,d^{32}\,e^2-16\,A\,B\,b^{13}\,c^{10}\,d^{20}\,e^{14}+192\,A\,B\,b^{12}\,c^{11}\,d^{21}\,e^{13}-1056\,A\,B\,b^{11}\,c^{12}\,d^{22}\,e^{12}+3520\,A\,B\,b^{10}\,c^{13}\,d^{23}\,e^{11}-7920\,A\,B\,b^9\,c^{14}\,d^{24}\,e^{10}+12672\,A\,B\,b^8\,c^{15}\,d^{25}\,e^9-14784\,A\,B\,b^7\,c^{16}\,d^{26}\,e^8+12672\,A\,B\,b^6\,c^{17}\,d^{27}\,e^7-7920\,A\,B\,b^5\,c^{18}\,d^{28}\,e^6+3520\,A\,B\,b^4\,c^{19}\,d^{29}\,e^5-1056\,A\,B\,b^3\,c^{20}\,d^{30}\,e^4+192\,A\,B\,b^2\,c^{21}\,d^{31}\,e^3-16\,A\,B\,b\,c^{22}\,d^{32}\,e^2+8\,B^2\,b^{14}\,c^9\,d^{20}\,e^{14}-96\,B^2\,b^{13}\,c^{10}\,d^{21}\,e^{13}+528\,B^2\,b^{12}\,c^{11}\,d^{22}\,e^{12}-1760\,B^2\,b^{11}\,c^{12}\,d^{23}\,e^{11}+3960\,B^2\,b^{10}\,c^{13}\,d^{24}\,e^{10}-6336\,B^2\,b^9\,c^{14}\,d^{25}\,e^9+7392\,B^2\,b^8\,c^{15}\,d^{26}\,e^8-6336\,B^2\,b^7\,c^{16}\,d^{27}\,e^7+3960\,B^2\,b^6\,c^{17}\,d^{28}\,e^6-1760\,B^2\,b^5\,c^{18}\,d^{29}\,e^5+528\,B^2\,b^4\,c^{19}\,d^{30}\,e^4-96\,B^2\,b^3\,c^{20}\,d^{31}\,e^3+8\,B^2\,b^2\,c^{21}\,d^{32}\,e^2\right)-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\left(\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,\sqrt{d+e\,x}\,\left(-8\,b^{23}\,c^2\,d^{20}\,e^{23}+176\,b^{22}\,c^3\,d^{21}\,e^{22}-1840\,b^{21}\,c^4\,d^{22}\,e^{21}+12160\,b^{20}\,c^5\,d^{23}\,e^{20}-57000\,b^{19}\,c^6\,d^{24}\,e^{19}+201552\,b^{18}\,c^7\,d^{25}\,e^{18}-558144\,b^{17}\,c^8\,d^{26}\,e^{17}+1240320\,b^{16}\,c^9\,d^{27}\,e^{16}-2248080\,b^{15}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{14}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{13}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{12}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{11}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{10}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^9\,c^{16}\,d^{34}\,e^9+744192\,b^8\,c^{17}\,d^{35}\,e^8-286824\,b^7\,c^{18}\,d^{36}\,e^7+86640\,b^6\,c^{19}\,d^{37}\,e^6-19760\,b^5\,c^{20}\,d^{38}\,e^5+3200\,b^4\,c^{21}\,d^{39}\,e^4-328\,b^3\,c^{22}\,d^{40}\,e^3+16\,b^2\,c^{23}\,d^{41}\,e^2\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}+40\,A\,b^2\,c^{22}\,d^{36}\,e^3-720\,A\,b^3\,c^{21}\,d^{35}\,e^4+6160\,A\,b^4\,c^{20}\,d^{34}\,e^5-33320\,A\,b^5\,c^{19}\,d^{33}\,e^6+127848\,A\,b^6\,c^{18}\,d^{32}\,e^7-370048\,A\,b^7\,c^{17}\,d^{31}\,e^8+838720\,A\,b^8\,c^{16}\,d^{30}\,e^9-1524960\,A\,b^9\,c^{15}\,d^{29}\,e^{10}+2259920\,A\,b^{10}\,c^{14}\,d^{28}\,e^{11}-2757664\,A\,b^{11}\,c^{13}\,d^{27}\,e^{12}+2786784\,A\,b^{12}\,c^{12}\,d^{26}\,e^{13}-2336880\,A\,b^{13}\,c^{11}\,d^{25}\,e^{14}+1623440\,A\,b^{14}\,c^{10}\,d^{24}\,e^{15}-929280\,A\,b^{15}\,c^9\,d^{23}\,e^{16}+433984\,A\,b^{16}\,c^8\,d^{22}\,e^{17}-162784\,A\,b^{17}\,c^7\,d^{21}\,e^{18}+47880\,A\,b^{18}\,c^6\,d^{20}\,e^{19}-10640\,A\,b^{19}\,c^5\,d^{19}\,e^{20}+1680\,A\,b^{20}\,c^4\,d^{18}\,e^{21}-168\,A\,b^{21}\,c^3\,d^{17}\,e^{22}+8\,A\,b^{22}\,c^2\,d^{16}\,e^{23}-8\,B\,b^2\,c^{22}\,d^{37}\,e^2+128\,B\,b^3\,c^{21}\,d^{36}\,e^3-960\,B\,b^4\,c^{20}\,d^{35}\,e^4+4480\,B\,b^5\,c^{19}\,d^{34}\,e^5-14560\,B\,b^6\,c^{18}\,d^{33}\,e^6+34944\,B\,b^7\,c^{17}\,d^{32}\,e^7-64064\,B\,b^8\,c^{16}\,d^{31}\,e^8+91520\,B\,b^9\,c^{15}\,d^{30}\,e^9-102960\,B\,b^{10}\,c^{14}\,d^{29}\,e^{10}+91520\,B\,b^{11}\,c^{13}\,d^{28}\,e^{11}-64064\,B\,b^{12}\,c^{12}\,d^{27}\,e^{12}+34944\,B\,b^{13}\,c^{11}\,d^{26}\,e^{13}-14560\,B\,b^{14}\,c^{10}\,d^{25}\,e^{14}+4480\,B\,b^{15}\,c^9\,d^{24}\,e^{15}-960\,B\,b^{16}\,c^8\,d^{23}\,e^{16}+128\,B\,b^{17}\,c^7\,d^{22}\,e^{17}-8\,B\,b^{18}\,c^6\,d^{21}\,e^{18}\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}\right)}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}+64\,A^3\,c^{22}\,d^{27}\,e^3+5440\,A^3\,b^2\,c^{20}\,d^{25}\,e^5-21200\,A^3\,b^3\,c^{19}\,d^{24}\,e^6+57216\,A^3\,b^4\,c^{18}\,d^{23}\,e^7-113344\,A^3\,b^5\,c^{17}\,d^{22}\,e^8+170368\,A^3\,b^6\,c^{16}\,d^{21}\,e^9-198000\,A^3\,b^7\,c^{15}\,d^{20}\,e^{10}+179520\,A^3\,b^8\,c^{14}\,d^{19}\,e^{11}-127072\,A^3\,b^9\,c^{13}\,d^{18}\,e^{12}+69696\,A^3\,b^{10}\,c^{12}\,d^{17}\,e^{13}-29104\,A^3\,b^{11}\,c^{11}\,d^{16}\,e^{14}+8960\,A^3\,b^{12}\,c^{10}\,d^{15}\,e^{15}-1920\,A^3\,b^{13}\,c^9\,d^{14}\,e^{16}+256\,A^3\,b^{14}\,c^8\,d^{13}\,e^{17}-16\,A^3\,b^{15}\,c^7\,d^{12}\,e^{18}-16\,A^2\,B\,c^{22}\,d^{28}\,e^2-864\,A^3\,b\,c^{21}\,d^{26}\,e^4-192\,A\,B^2\,b^2\,c^{20}\,d^{27}\,e^3+1056\,A\,B^2\,b^3\,c^{19}\,d^{26}\,e^4-3520\,A\,B^2\,b^4\,c^{18}\,d^{25}\,e^5+7920\,A\,B^2\,b^5\,c^{17}\,d^{24}\,e^6-12672\,A\,B^2\,b^6\,c^{16}\,d^{23}\,e^7+14784\,A\,B^2\,b^7\,c^{15}\,d^{22}\,e^8-12672\,A\,B^2\,b^8\,c^{14}\,d^{21}\,e^9+7920\,A\,B^2\,b^9\,c^{13}\,d^{20}\,e^{10}-3520\,A\,B^2\,b^{10}\,c^{12}\,d^{19}\,e^{11}+1056\,A\,B^2\,b^{11}\,c^{11}\,d^{18}\,e^{12}-192\,A\,B^2\,b^{12}\,c^{10}\,d^{17}\,e^{13}+16\,A\,B^2\,b^{13}\,c^9\,d^{16}\,e^{14}-192\,A^2\,B\,b^2\,c^{20}\,d^{26}\,e^4-1920\,A^2\,B\,b^3\,c^{19}\,d^{25}\,e^5+13280\,A^2\,B\,b^4\,c^{18}\,d^{24}\,e^6-44544\,A^2\,B\,b^5\,c^{17}\,d^{23}\,e^7+98560\,A^2\,B\,b^6\,c^{16}\,d^{22}\,e^8-157696\,A^2\,B\,b^7\,c^{15}\,d^{21}\,e^9+190080\,A^2\,B\,b^8\,c^{14}\,d^{20}\,e^{10}-176000\,A^2\,B\,b^9\,c^{13}\,d^{19}\,e^{11}+126016\,A^2\,B\,b^{10}\,c^{12}\,d^{18}\,e^{12}-69504\,A^2\,B\,b^{11}\,c^{11}\,d^{17}\,e^{13}+29088\,A^2\,B\,b^{12}\,c^{10}\,d^{16}\,e^{14}-8960\,A^2\,B\,b^{13}\,c^9\,d^{15}\,e^{15}+1920\,A^2\,B\,b^{14}\,c^8\,d^{14}\,e^{16}-256\,A^2\,B\,b^{15}\,c^7\,d^{13}\,e^{17}+16\,A^2\,B\,b^{16}\,c^6\,d^{12}\,e^{18}+16\,A\,B^2\,b\,c^{21}\,d^{28}\,e^2+128\,A^2\,B\,b\,c^{21}\,d^{27}\,e^3}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^9}\,\left(A\,c-B\,b\right)\,2{}\mathrm{i}}{b^{10}\,e^9-9\,b^9\,c\,d\,e^8+36\,b^8\,c^2\,d^2\,e^7-84\,b^7\,c^3\,d^3\,e^6+126\,b^6\,c^4\,d^4\,e^5-126\,b^5\,c^5\,d^5\,e^4+84\,b^4\,c^6\,d^6\,e^3-36\,b^3\,c^7\,d^7\,e^2+9\,b^2\,c^8\,d^8\,e-b\,c^9\,d^9}","Not used",1,"(A*atan((B^2*b^2*c^19*d^41*(d + e*x)^(1/2)*1i + A^2*b^21*d^20*e^21*(d + e*x)^(1/2)*1i - A^2*b^20*c*d^21*e^20*(d + e*x)^(1/2)*21i - B^2*b^3*c^18*d^40*e*(d + e*x)^(1/2)*12i - A*B*b*c^20*d^41*(d + e*x)^(1/2)*2i - A^2*b^2*c^19*d^39*e^2*(d + e*x)^(1/2)*144i + A^2*b^3*c^18*d^38*e^3*(d + e*x)^(1/2)*1110i - A^2*b^4*c^17*d^37*e^4*(d + e*x)^(1/2)*5490i + A^2*b^5*c^16*d^36*e^5*(d + e*x)^(1/2)*19557i - A^2*b^6*c^15*d^35*e^6*(d + e*x)^(1/2)*53340i + A^2*b^7*c^14*d^34*e^7*(d + e*x)^(1/2)*115488i - A^2*b^8*c^13*d^33*e^8*(d + e*x)^(1/2)*202995i + A^2*b^9*c^12*d^32*e^9*(d + e*x)^(1/2)*293710i - A^2*b^10*c^11*d^31*e^10*(d + e*x)^(1/2)*352650i + A^2*b^11*c^10*d^30*e^11*(d + e*x)^(1/2)*352704i - A^2*b^12*c^9*d^29*e^12*(d + e*x)^(1/2)*293929i + A^2*b^13*c^8*d^28*e^13*(d + e*x)^(1/2)*203490i - A^2*b^14*c^7*d^27*e^14*(d + e*x)^(1/2)*116280i + A^2*b^15*c^6*d^26*e^15*(d + e*x)^(1/2)*54264i - A^2*b^16*c^5*d^25*e^16*(d + e*x)^(1/2)*20349i + A^2*b^17*c^4*d^24*e^17*(d + e*x)^(1/2)*5985i - A^2*b^18*c^3*d^23*e^18*(d + e*x)^(1/2)*1330i + A^2*b^19*c^2*d^22*e^19*(d + e*x)^(1/2)*210i + B^2*b^4*c^17*d^39*e^2*(d + e*x)^(1/2)*66i - B^2*b^5*c^16*d^38*e^3*(d + e*x)^(1/2)*220i + B^2*b^6*c^15*d^37*e^4*(d + e*x)^(1/2)*495i - B^2*b^7*c^14*d^36*e^5*(d + e*x)^(1/2)*792i + B^2*b^8*c^13*d^35*e^6*(d + e*x)^(1/2)*924i - B^2*b^9*c^12*d^34*e^7*(d + e*x)^(1/2)*792i + B^2*b^10*c^11*d^33*e^8*(d + e*x)^(1/2)*495i - B^2*b^11*c^10*d^32*e^9*(d + e*x)^(1/2)*220i + B^2*b^12*c^9*d^31*e^10*(d + e*x)^(1/2)*66i - B^2*b^13*c^8*d^30*e^11*(d + e*x)^(1/2)*12i + B^2*b^14*c^7*d^29*e^12*(d + e*x)^(1/2)*1i + A^2*b*c^20*d^40*e*(d + e*x)^(1/2)*9i - A*B*b^3*c^18*d^39*e^2*(d + e*x)^(1/2)*132i + A*B*b^4*c^17*d^38*e^3*(d + e*x)^(1/2)*440i - A*B*b^5*c^16*d^37*e^4*(d + e*x)^(1/2)*990i + A*B*b^6*c^15*d^36*e^5*(d + e*x)^(1/2)*1584i - A*B*b^7*c^14*d^35*e^6*(d + e*x)^(1/2)*1848i + A*B*b^8*c^13*d^34*e^7*(d + e*x)^(1/2)*1584i - A*B*b^9*c^12*d^33*e^8*(d + e*x)^(1/2)*990i + A*B*b^10*c^11*d^32*e^9*(d + e*x)^(1/2)*440i - A*B*b^11*c^10*d^31*e^10*(d + e*x)^(1/2)*132i + A*B*b^12*c^9*d^30*e^11*(d + e*x)^(1/2)*24i - A*B*b^13*c^8*d^29*e^12*(d + e*x)^(1/2)*2i + A*B*b^2*c^19*d^40*e*(d + e*x)^(1/2)*24i)/(d^9*(d^9)^(1/2)*(d^9*(d^9*(d^9*(9*A^2*b*c^20*e + B^2*b^2*c^19*d - 12*B^2*b^3*c^18*e - 2*A*B*b*c^20*d + 24*A*B*b^2*c^19*e) - 352650*A^2*b^10*c^11*e^10 + 66*B^2*b^12*c^9*e^10 - 144*A^2*b^2*c^19*d^8*e^2 + 1110*A^2*b^3*c^18*d^7*e^3 - 5490*A^2*b^4*c^17*d^6*e^4 + 19557*A^2*b^5*c^16*d^5*e^5 - 53340*A^2*b^6*c^15*d^4*e^6 + 115488*A^2*b^7*c^14*d^3*e^7 - 202995*A^2*b^8*c^13*d^2*e^8 + 66*B^2*b^4*c^17*d^8*e^2 - 220*B^2*b^5*c^16*d^7*e^3 + 495*B^2*b^6*c^15*d^6*e^4 - 792*B^2*b^7*c^14*d^5*e^5 + 924*B^2*b^8*c^13*d^4*e^6 - 792*B^2*b^9*c^12*d^3*e^7 + 495*B^2*b^10*c^11*d^2*e^8 - 132*A*B*b^11*c^10*e^10 + 293710*A^2*b^9*c^12*d*e^9 - 220*B^2*b^11*c^10*d*e^9 + 440*A*B*b^10*c^11*d*e^9 - 132*A*B*b^3*c^18*d^8*e^2 + 440*A*B*b^4*c^17*d^7*e^3 - 990*A*B*b^5*c^16*d^6*e^4 + 1584*A*B*b^6*c^15*d^5*e^5 - 1848*A*B*b^7*c^14*d^4*e^6 + 1584*A*B*b^8*c^13*d^3*e^7 - 990*A*B*b^9*c^12*d^2*e^8) + 210*A^2*b^19*c^2*e^19 + 352704*A^2*b^11*c^10*d^8*e^11 - 293929*A^2*b^12*c^9*d^7*e^12 + 203490*A^2*b^13*c^8*d^6*e^13 - 116280*A^2*b^14*c^7*d^5*e^14 + 54264*A^2*b^15*c^6*d^4*e^15 - 20349*A^2*b^16*c^5*d^3*e^16 + 5985*A^2*b^17*c^4*d^2*e^17 - 12*B^2*b^13*c^8*d^8*e^11 + B^2*b^14*c^7*d^7*e^12 - 1330*A^2*b^18*c^3*d*e^18 + 24*A*B*b^12*c^9*d^8*e^11 - 2*A*B*b^13*c^8*d^7*e^12) + A^2*b^21*d^7*e^21 - 21*A^2*b^20*c*d^8*e^20)))*2i)/(b*(d^9)^(1/2)) - ((2*(A*e - B*d))/(7*(c*d^2 - b*d*e)) - (2*(d + e*x)^3*(A*b^3*e^4 + B*c^3*d^4 - 4*A*c^3*d^3*e + 6*A*b*c^2*d^2*e^2 - 4*A*b^2*c*d*e^3))/(c*d^2 - b*d*e)^4 + (2*(d + e*x)^2*(A*b^2*e^3 - B*c^2*d^3 + 3*A*c^2*d^2*e - 3*A*b*c*d*e^2))/(3*(c*d^2 - b*d*e)^3) - (2*(d + e*x)*(A*b*e^2 + B*c*d^2 - 2*A*c*d*e))/(5*(c*d^2 - b*d*e)^2))/(d + e*x)^(7/2) + (atan((((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^23*d^32*e^2 + 2048*A^2*b^2*c^21*d^30*e^4 - 10880*A^2*b^3*c^20*d^29*e^5 + 42720*A^2*b^4*c^19*d^28*e^6 - 130368*A^2*b^5*c^18*d^27*e^7 + 317472*A^2*b^6*c^17*d^26*e^8 - 626496*A^2*b^7*c^16*d^25*e^9 + 1011720*A^2*b^8*c^15*d^24*e^10 - 1345440*A^2*b^9*c^14*d^23*e^11 + 1478576*A^2*b^10*c^13*d^22*e^12 - 1343776*A^2*b^11*c^12*d^21*e^13 + 1007768*A^2*b^12*c^11*d^20*e^14 - 620160*A^2*b^13*c^10*d^19*e^15 + 310080*A^2*b^14*c^9*d^18*e^16 - 124032*A^2*b^15*c^8*d^17*e^17 + 38760*A^2*b^16*c^7*d^16*e^18 - 9120*A^2*b^17*c^6*d^15*e^19 + 1520*A^2*b^18*c^5*d^14*e^20 - 160*A^2*b^19*c^4*d^13*e^21 + 8*A^2*b^20*c^3*d^12*e^22 + 8*B^2*b^2*c^21*d^32*e^2 - 96*B^2*b^3*c^20*d^31*e^3 + 528*B^2*b^4*c^19*d^30*e^4 - 1760*B^2*b^5*c^18*d^29*e^5 + 3960*B^2*b^6*c^17*d^28*e^6 - 6336*B^2*b^7*c^16*d^27*e^7 + 7392*B^2*b^8*c^15*d^26*e^8 - 6336*B^2*b^9*c^14*d^25*e^9 + 3960*B^2*b^10*c^13*d^24*e^10 - 1760*B^2*b^11*c^12*d^23*e^11 + 528*B^2*b^12*c^11*d^22*e^12 - 96*B^2*b^13*c^10*d^21*e^13 + 8*B^2*b^14*c^9*d^20*e^14 - 256*A^2*b*c^22*d^31*e^3 - 16*A*B*b*c^22*d^32*e^2 + 192*A*B*b^2*c^21*d^31*e^3 - 1056*A*B*b^3*c^20*d^30*e^4 + 3520*A*B*b^4*c^19*d^29*e^5 - 7920*A*B*b^5*c^18*d^28*e^6 + 12672*A*B*b^6*c^17*d^27*e^7 - 14784*A*B*b^7*c^16*d^26*e^8 + 12672*A*B*b^8*c^15*d^25*e^9 - 7920*A*B*b^9*c^14*d^24*e^10 + 3520*A*B*b^10*c^13*d^23*e^11 - 1056*A*B*b^11*c^12*d^22*e^12 + 192*A*B*b^12*c^11*d^21*e^13 - 16*A*B*b^13*c^10*d^20*e^14) - ((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*(((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^23*d^41*e^2 - 328*b^3*c^22*d^40*e^3 + 3200*b^4*c^21*d^39*e^4 - 19760*b^5*c^20*d^38*e^5 + 86640*b^6*c^19*d^37*e^6 - 286824*b^7*c^18*d^36*e^7 + 744192*b^8*c^17*d^35*e^8 - 1550400*b^9*c^16*d^34*e^9 + 2635680*b^10*c^15*d^33*e^10 - 3695120*b^11*c^14*d^32*e^11 + 4299776*b^12*c^13*d^31*e^12 - 4165408*b^13*c^12*d^30*e^13 + 3359200*b^14*c^11*d^29*e^14 - 2248080*b^15*c^10*d^28*e^15 + 1240320*b^16*c^9*d^27*e^16 - 558144*b^17*c^8*d^26*e^17 + 201552*b^18*c^7*d^25*e^18 - 57000*b^19*c^6*d^24*e^19 + 12160*b^20*c^5*d^23*e^20 - 1840*b^21*c^4*d^22*e^21 + 176*b^22*c^3*d^21*e^22 - 8*b^23*c^2*d^20*e^23))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8) - 40*A*b^2*c^22*d^36*e^3 + 720*A*b^3*c^21*d^35*e^4 - 6160*A*b^4*c^20*d^34*e^5 + 33320*A*b^5*c^19*d^33*e^6 - 127848*A*b^6*c^18*d^32*e^7 + 370048*A*b^7*c^17*d^31*e^8 - 838720*A*b^8*c^16*d^30*e^9 + 1524960*A*b^9*c^15*d^29*e^10 - 2259920*A*b^10*c^14*d^28*e^11 + 2757664*A*b^11*c^13*d^27*e^12 - 2786784*A*b^12*c^12*d^26*e^13 + 2336880*A*b^13*c^11*d^25*e^14 - 1623440*A*b^14*c^10*d^24*e^15 + 929280*A*b^15*c^9*d^23*e^16 - 433984*A*b^16*c^8*d^22*e^17 + 162784*A*b^17*c^7*d^21*e^18 - 47880*A*b^18*c^6*d^20*e^19 + 10640*A*b^19*c^5*d^19*e^20 - 1680*A*b^20*c^4*d^18*e^21 + 168*A*b^21*c^3*d^17*e^22 - 8*A*b^22*c^2*d^16*e^23 + 8*B*b^2*c^22*d^37*e^2 - 128*B*b^3*c^21*d^36*e^3 + 960*B*b^4*c^20*d^35*e^4 - 4480*B*b^5*c^19*d^34*e^5 + 14560*B*b^6*c^18*d^33*e^6 - 34944*B*b^7*c^17*d^32*e^7 + 64064*B*b^8*c^16*d^31*e^8 - 91520*B*b^9*c^15*d^30*e^9 + 102960*B*b^10*c^14*d^29*e^10 - 91520*B*b^11*c^13*d^28*e^11 + 64064*B*b^12*c^12*d^27*e^12 - 34944*B*b^13*c^11*d^26*e^13 + 14560*B*b^14*c^10*d^25*e^14 - 4480*B*b^15*c^9*d^24*e^15 + 960*B*b^16*c^8*d^23*e^16 - 128*B*b^17*c^7*d^22*e^17 + 8*B*b^18*c^6*d^21*e^18))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8))*1i)/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8) + ((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^23*d^32*e^2 + 2048*A^2*b^2*c^21*d^30*e^4 - 10880*A^2*b^3*c^20*d^29*e^5 + 42720*A^2*b^4*c^19*d^28*e^6 - 130368*A^2*b^5*c^18*d^27*e^7 + 317472*A^2*b^6*c^17*d^26*e^8 - 626496*A^2*b^7*c^16*d^25*e^9 + 1011720*A^2*b^8*c^15*d^24*e^10 - 1345440*A^2*b^9*c^14*d^23*e^11 + 1478576*A^2*b^10*c^13*d^22*e^12 - 1343776*A^2*b^11*c^12*d^21*e^13 + 1007768*A^2*b^12*c^11*d^20*e^14 - 620160*A^2*b^13*c^10*d^19*e^15 + 310080*A^2*b^14*c^9*d^18*e^16 - 124032*A^2*b^15*c^8*d^17*e^17 + 38760*A^2*b^16*c^7*d^16*e^18 - 9120*A^2*b^17*c^6*d^15*e^19 + 1520*A^2*b^18*c^5*d^14*e^20 - 160*A^2*b^19*c^4*d^13*e^21 + 8*A^2*b^20*c^3*d^12*e^22 + 8*B^2*b^2*c^21*d^32*e^2 - 96*B^2*b^3*c^20*d^31*e^3 + 528*B^2*b^4*c^19*d^30*e^4 - 1760*B^2*b^5*c^18*d^29*e^5 + 3960*B^2*b^6*c^17*d^28*e^6 - 6336*B^2*b^7*c^16*d^27*e^7 + 7392*B^2*b^8*c^15*d^26*e^8 - 6336*B^2*b^9*c^14*d^25*e^9 + 3960*B^2*b^10*c^13*d^24*e^10 - 1760*B^2*b^11*c^12*d^23*e^11 + 528*B^2*b^12*c^11*d^22*e^12 - 96*B^2*b^13*c^10*d^21*e^13 + 8*B^2*b^14*c^9*d^20*e^14 - 256*A^2*b*c^22*d^31*e^3 - 16*A*B*b*c^22*d^32*e^2 + 192*A*B*b^2*c^21*d^31*e^3 - 1056*A*B*b^3*c^20*d^30*e^4 + 3520*A*B*b^4*c^19*d^29*e^5 - 7920*A*B*b^5*c^18*d^28*e^6 + 12672*A*B*b^6*c^17*d^27*e^7 - 14784*A*B*b^7*c^16*d^26*e^8 + 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8*B*b^18*c^6*d^21*e^18))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8)))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8) - ((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*((d + e*x)^(1/2)*(16*A^2*c^23*d^32*e^2 + 2048*A^2*b^2*c^21*d^30*e^4 - 10880*A^2*b^3*c^20*d^29*e^5 + 42720*A^2*b^4*c^19*d^28*e^6 - 130368*A^2*b^5*c^18*d^27*e^7 + 317472*A^2*b^6*c^17*d^26*e^8 - 626496*A^2*b^7*c^16*d^25*e^9 + 1011720*A^2*b^8*c^15*d^24*e^10 - 1345440*A^2*b^9*c^14*d^23*e^11 + 1478576*A^2*b^10*c^13*d^22*e^12 - 1343776*A^2*b^11*c^12*d^21*e^13 + 1007768*A^2*b^12*c^11*d^20*e^14 - 620160*A^2*b^13*c^10*d^19*e^15 + 310080*A^2*b^14*c^9*d^18*e^16 - 124032*A^2*b^15*c^8*d^17*e^17 + 38760*A^2*b^16*c^7*d^16*e^18 - 9120*A^2*b^17*c^6*d^15*e^19 + 1520*A^2*b^18*c^5*d^14*e^20 - 160*A^2*b^19*c^4*d^13*e^21 + 8*A^2*b^20*c^3*d^12*e^22 + 8*B^2*b^2*c^21*d^32*e^2 - 96*B^2*b^3*c^20*d^31*e^3 + 528*B^2*b^4*c^19*d^30*e^4 - 1760*B^2*b^5*c^18*d^29*e^5 + 3960*B^2*b^6*c^17*d^28*e^6 - 6336*B^2*b^7*c^16*d^27*e^7 + 7392*B^2*b^8*c^15*d^26*e^8 - 6336*B^2*b^9*c^14*d^25*e^9 + 3960*B^2*b^10*c^13*d^24*e^10 - 1760*B^2*b^11*c^12*d^23*e^11 + 528*B^2*b^12*c^11*d^22*e^12 - 96*B^2*b^13*c^10*d^21*e^13 + 8*B^2*b^14*c^9*d^20*e^14 - 256*A^2*b*c^22*d^31*e^3 - 16*A*B*b*c^22*d^32*e^2 + 192*A*B*b^2*c^21*d^31*e^3 - 1056*A*B*b^3*c^20*d^30*e^4 + 3520*A*B*b^4*c^19*d^29*e^5 - 7920*A*B*b^5*c^18*d^28*e^6 + 12672*A*B*b^6*c^17*d^27*e^7 - 14784*A*B*b^7*c^16*d^26*e^8 + 12672*A*B*b^8*c^15*d^25*e^9 - 7920*A*B*b^9*c^14*d^24*e^10 + 3520*A*B*b^10*c^13*d^23*e^11 - 1056*A*B*b^11*c^12*d^22*e^12 + 192*A*B*b^12*c^11*d^21*e^13 - 16*A*B*b^13*c^10*d^20*e^14) - ((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*(((-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*(d + e*x)^(1/2)*(16*b^2*c^23*d^41*e^2 - 328*b^3*c^22*d^40*e^3 + 3200*b^4*c^21*d^39*e^4 - 19760*b^5*c^20*d^38*e^5 + 86640*b^6*c^19*d^37*e^6 - 286824*b^7*c^18*d^36*e^7 + 744192*b^8*c^17*d^35*e^8 - 1550400*b^9*c^16*d^34*e^9 + 2635680*b^10*c^15*d^33*e^10 - 3695120*b^11*c^14*d^32*e^11 + 4299776*b^12*c^13*d^31*e^12 - 4165408*b^13*c^12*d^30*e^13 + 3359200*b^14*c^11*d^29*e^14 - 2248080*b^15*c^10*d^28*e^15 + 1240320*b^16*c^9*d^27*e^16 - 558144*b^17*c^8*d^26*e^17 + 201552*b^18*c^7*d^25*e^18 - 57000*b^19*c^6*d^24*e^19 + 12160*b^20*c^5*d^23*e^20 - 1840*b^21*c^4*d^22*e^21 + 176*b^22*c^3*d^21*e^22 - 8*b^23*c^2*d^20*e^23))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8) + 40*A*b^2*c^22*d^36*e^3 - 720*A*b^3*c^21*d^35*e^4 + 6160*A*b^4*c^20*d^34*e^5 - 33320*A*b^5*c^19*d^33*e^6 + 127848*A*b^6*c^18*d^32*e^7 - 370048*A*b^7*c^17*d^31*e^8 + 838720*A*b^8*c^16*d^30*e^9 - 1524960*A*b^9*c^15*d^29*e^10 + 2259920*A*b^10*c^14*d^28*e^11 - 2757664*A*b^11*c^13*d^27*e^12 + 2786784*A*b^12*c^12*d^26*e^13 - 2336880*A*b^13*c^11*d^25*e^14 + 1623440*A*b^14*c^10*d^24*e^15 - 929280*A*b^15*c^9*d^23*e^16 + 433984*A*b^16*c^8*d^22*e^17 - 162784*A*b^17*c^7*d^21*e^18 + 47880*A*b^18*c^6*d^20*e^19 - 10640*A*b^19*c^5*d^19*e^20 + 1680*A*b^20*c^4*d^18*e^21 - 168*A*b^21*c^3*d^17*e^22 + 8*A*b^22*c^2*d^16*e^23 - 8*B*b^2*c^22*d^37*e^2 + 128*B*b^3*c^21*d^36*e^3 - 960*B*b^4*c^20*d^35*e^4 + 4480*B*b^5*c^19*d^34*e^5 - 14560*B*b^6*c^18*d^33*e^6 + 34944*B*b^7*c^17*d^32*e^7 - 64064*B*b^8*c^16*d^31*e^8 + 91520*B*b^9*c^15*d^30*e^9 - 102960*B*b^10*c^14*d^29*e^10 + 91520*B*b^11*c^13*d^28*e^11 - 64064*B*b^12*c^12*d^27*e^12 + 34944*B*b^13*c^11*d^26*e^13 - 14560*B*b^14*c^10*d^25*e^14 + 4480*B*b^15*c^9*d^24*e^15 - 960*B*b^16*c^8*d^23*e^16 + 128*B*b^17*c^7*d^22*e^17 - 8*B*b^18*c^6*d^21*e^18))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8)))/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8) + 64*A^3*c^22*d^27*e^3 + 5440*A^3*b^2*c^20*d^25*e^5 - 21200*A^3*b^3*c^19*d^24*e^6 + 57216*A^3*b^4*c^18*d^23*e^7 - 113344*A^3*b^5*c^17*d^22*e^8 + 170368*A^3*b^6*c^16*d^21*e^9 - 198000*A^3*b^7*c^15*d^20*e^10 + 179520*A^3*b^8*c^14*d^19*e^11 - 127072*A^3*b^9*c^13*d^18*e^12 + 69696*A^3*b^10*c^12*d^17*e^13 - 29104*A^3*b^11*c^11*d^16*e^14 + 8960*A^3*b^12*c^10*d^15*e^15 - 1920*A^3*b^13*c^9*d^14*e^16 + 256*A^3*b^14*c^8*d^13*e^17 - 16*A^3*b^15*c^7*d^12*e^18 - 16*A^2*B*c^22*d^28*e^2 - 864*A^3*b*c^21*d^26*e^4 - 192*A*B^2*b^2*c^20*d^27*e^3 + 1056*A*B^2*b^3*c^19*d^26*e^4 - 3520*A*B^2*b^4*c^18*d^25*e^5 + 7920*A*B^2*b^5*c^17*d^24*e^6 - 12672*A*B^2*b^6*c^16*d^23*e^7 + 14784*A*B^2*b^7*c^15*d^22*e^8 - 12672*A*B^2*b^8*c^14*d^21*e^9 + 7920*A*B^2*b^9*c^13*d^20*e^10 - 3520*A*B^2*b^10*c^12*d^19*e^11 + 1056*A*B^2*b^11*c^11*d^18*e^12 - 192*A*B^2*b^12*c^10*d^17*e^13 + 16*A*B^2*b^13*c^9*d^16*e^14 - 192*A^2*B*b^2*c^20*d^26*e^4 - 1920*A^2*B*b^3*c^19*d^25*e^5 + 13280*A^2*B*b^4*c^18*d^24*e^6 - 44544*A^2*B*b^5*c^17*d^23*e^7 + 98560*A^2*B*b^6*c^16*d^22*e^8 - 157696*A^2*B*b^7*c^15*d^21*e^9 + 190080*A^2*B*b^8*c^14*d^20*e^10 - 176000*A^2*B*b^9*c^13*d^19*e^11 + 126016*A^2*B*b^10*c^12*d^18*e^12 - 69504*A^2*B*b^11*c^11*d^17*e^13 + 29088*A^2*B*b^12*c^10*d^16*e^14 - 8960*A^2*B*b^13*c^9*d^15*e^15 + 1920*A^2*B*b^14*c^8*d^14*e^16 - 256*A^2*B*b^15*c^7*d^13*e^17 + 16*A^2*B*b^16*c^6*d^12*e^18 + 16*A*B^2*b*c^21*d^28*e^2 + 128*A^2*B*b*c^21*d^27*e^3))*(-c^7*(b*e - c*d)^9)^(1/2)*(A*c - B*b)*2i)/(b^10*e^9 - b*c^9*d^9 + 9*b^2*c^8*d^8*e - 36*b^3*c^7*d^7*e^2 + 84*b^4*c^6*d^6*e^3 - 126*b^5*c^5*d^5*e^4 + 126*b^6*c^4*d^4*e^5 - 84*b^7*c^3*d^3*e^6 + 36*b^8*c^2*d^2*e^7 - 9*b^9*c*d*e^8)","B"
1238,1,12636,386,6.713338,"\text{Not used}","int(((A + B*x)*(d + e*x)^(9/2))/(b*x + c*x^2)^2,x)","\ln\left(\frac{\left(\frac{\left(\frac{4\,d\,e^3\,\left(b\,e-c\,d\right)\,\left(7\,B\,b^4\,e^3-19\,B\,b^3\,c\,d\,e^2-5\,A\,b^3\,c\,e^3+15\,B\,b^2\,c^2\,d^2\,e+11\,A\,b^2\,c^2\,d\,e^2-B\,b\,c^3\,d^3-3\,A\,b\,c^3\,d^2\,e+2\,A\,c^4\,d^3\right)}{c^2}-4\,b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}\right)\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}}{2}-\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}}{2}-\frac{d^4\,e^3\,{\left(b\,e-c\,d\right)}^4\,\left(-225\,A^3\,b^6\,c^2\,e^6+640\,A^3\,b^5\,c^3\,d\,e^5-294\,A^3\,b^4\,c^4\,d^2\,e^4-660\,A^3\,b^3\,c^5\,d^3\,e^3+250\,A^3\,b^2\,c^6\,d^4\,e^2+96\,A^3\,b\,c^7\,d^5\,e-32\,A^3\,c^8\,d^6+630\,A^2\,B\,b^7\,c\,e^6-2166\,A^2\,B\,b^6\,c^2\,d\,e^5+2124\,A^2\,B\,b^5\,c^3\,d^2\,e^4+468\,A^2\,B\,b^4\,c^4\,d^3\,e^3-1275\,A^2\,B\,b^3\,c^5\,d^4\,e^2+216\,A^2\,B\,b^2\,c^6\,d^5\,e+48\,A^2\,B\,b\,c^7\,d^6-441\,A\,B^2\,b^8\,e^6+1848\,A\,B^2\,b^7\,c\,d\,e^5-2754\,A\,B^2\,b^6\,c^2\,d^2\,e^4+1404\,A\,B^2\,b^5\,c^3\,d^3\,e^3+399\,A\,B^2\,b^4\,c^4\,d^4\,e^2-288\,A\,B^2\,b^3\,c^5\,d^5\,e-24\,A\,B^2\,b^2\,c^6\,d^6-98\,B^3\,b^8\,d\,e^5+336\,B^3\,b^7\,c\,d^2\,e^4-372\,B^3\,b^6\,c^2\,d^3\,e^3+88\,B^3\,b^5\,c^3\,d^4\,e^2+78\,B^3\,b^4\,c^4\,d^5\,e+4\,B^3\,b^3\,c^5\,d^6\right)}{b^6\,c^7}\right)\,\sqrt{\frac{81\,A^2\,b^2\,d^7\,e^2-72\,A^2\,b\,c\,d^8\,e+16\,A^2\,c^2\,d^9+36\,A\,B\,b^2\,d^8\,e-16\,A\,B\,b\,c\,d^9+4\,B^2\,b^2\,d^9}{4\,b^6}}-\ln\left(\frac{\left(\frac{\left(\frac{4\,d\,e^3\,\left(b\,e-c\,d\right)\,\left(7\,B\,b^4\,e^3-19\,B\,b^3\,c\,d\,e^2-5\,A\,b^3\,c\,e^3+15\,B\,b^2\,c^2\,d^2\,e+11\,A\,b^2\,c^2\,d\,e^2-B\,b\,c^3\,d^3-3\,A\,b\,c^3\,d^2\,e+2\,A\,c^4\,d^3\right)}{c^2}+4\,b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}\right)\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}}{2}+\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{d^7\,{\left(9\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}^2}{b^6}}}{2}-\frac{d^4\,e^3\,{\left(b\,e-c\,d\right)}^4\,\left(-225\,A^3\,b^6\,c^2\,e^6+640\,A^3\,b^5\,c^3\,d\,e^5-294\,A^3\,b^4\,c^4\,d^2\,e^4-660\,A^3\,b^3\,c^5\,d^3\,e^3+250\,A^3\,b^2\,c^6\,d^4\,e^2+96\,A^3\,b\,c^7\,d^5\,e-32\,A^3\,c^8\,d^6+630\,A^2\,B\,b^7\,c\,e^6-2166\,A^2\,B\,b^6\,c^2\,d\,e^5+2124\,A^2\,B\,b^5\,c^3\,d^2\,e^4+468\,A^2\,B\,b^4\,c^4\,d^3\,e^3-1275\,A^2\,B\,b^3\,c^5\,d^4\,e^2+216\,A^2\,B\,b^2\,c^6\,d^5\,e+48\,A^2\,B\,b\,c^7\,d^6-441\,A\,B^2\,b^8\,e^6+1848\,A\,B^2\,b^7\,c\,d\,e^5-2754\,A\,B^2\,b^6\,c^2\,d^2\,e^4+1404\,A\,B^2\,b^5\,c^3\,d^3\,e^3+399\,A\,B^2\,b^4\,c^4\,d^4\,e^2-288\,A\,B^2\,b^3\,c^5\,d^5\,e-24\,A\,B^2\,b^2\,c^6\,d^6-98\,B^3\,b^8\,d\,e^5+336\,B^3\,b^7\,c\,d^2\,e^4-372\,B^3\,b^6\,c^2\,d^3\,e^3+88\,B^3\,b^5\,c^3\,d^4\,e^2+78\,B^3\,b^4\,c^4\,d^5\,e+4\,B^3\,b^3\,c^5\,d^6\right)}{b^6\,c^7}\right)\,\sqrt{\frac{\frac{81\,A^2\,b^2\,d^7\,e^2}{4}-18\,A^2\,b\,c\,d^8\,e+4\,A^2\,c^2\,d^9+9\,A\,B\,b^2\,d^8\,e-4\,A\,B\,b\,c\,d^9+B^2\,b^2\,d^9}{b^6}}-\frac{\frac{\sqrt{d+e\,x}\,\left(-B\,b^5\,d\,e^5+4\,B\,b^4\,c\,d^2\,e^4+A\,b^4\,c\,d\,e^5-6\,B\,b^3\,c^2\,d^3\,e^3-4\,A\,b^3\,c^2\,d^2\,e^4+4\,B\,b^2\,c^3\,d^4\,e^2+6\,A\,b^2\,c^3\,d^3\,e^3-B\,b\,c^4\,d^5\,e-5\,A\,b\,c^4\,d^4\,e^2+2\,A\,c^5\,d^5\,e\right)}{b^2}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,b^5\,e^5-4\,B\,b^4\,c\,d\,e^4-A\,b^4\,c\,e^5+6\,B\,b^3\,c^2\,d^2\,e^3+4\,A\,b^3\,c^2\,d\,e^4-4\,B\,b^2\,c^3\,d^3\,e^2-6\,A\,b^2\,c^3\,d^2\,e^3+B\,b\,c^4\,d^4\,e+4\,A\,b\,c^4\,d^3\,e^2-2\,A\,c^5\,d^4\,e\right)}{b^2}}{\left(2\,c^5\,d-b\,c^4\,e\right)\,\left(d+e\,x\right)-c^5\,{\left(d+e\,x\right)}^2-c^5\,d^2+b\,c^4\,d\,e}+\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{3\,c^2}+\frac{2\,B\,e^2\,\left(4\,c^2\,d-2\,b\,c\,e\right)}{3\,c^4}\right)\,{\left(d+e\,x\right)}^{3/2}+\left(\frac{\left(4\,c^2\,d-2\,b\,c\,e\right)\,\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{c^2}+\frac{2\,B\,e^2\,\left(4\,c^2\,d-2\,b\,c\,e\right)}{c^4}\right)}{c^2}-\frac{2\,B\,e^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)}{c^4}\right)\,\sqrt{d+e\,x}+\frac{2\,B\,e^2\,{\left(d+e\,x\right)}^{5/2}}{5\,c^2}+\mathrm{atan}\left(\frac{\left(\left(\frac{-28\,B\,b^{11}\,c^5\,d\,e^7+104\,B\,b^{10}\,c^6\,d^2\,e^6+20\,A\,b^{10}\,c^6\,d\,e^7-136\,B\,b^9\,c^7\,d^3\,e^5-64\,A\,b^9\,c^7\,d^2\,e^6+64\,B\,b^8\,c^8\,d^4\,e^4+56\,A\,b^8\,c^8\,d^3\,e^5-4\,B\,b^7\,c^9\,d^5\,e^3-20\,A\,b^7\,c^9\,d^4\,e^4+8\,A\,b^6\,c^{10}\,d^5\,e^3}{b^6\,c^7}-\frac{2\,\left(4\,b^7\,c^9\,e^3-8\,b^6\,c^{10}\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}-\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{-28\,B\,b^{11}\,c^5\,d\,e^7+104\,B\,b^{10}\,c^6\,d^2\,e^6+20\,A\,b^{10}\,c^6\,d\,e^7-136\,B\,b^9\,c^7\,d^3\,e^5-64\,A\,b^9\,c^7\,d^2\,e^6+64\,B\,b^8\,c^8\,d^4\,e^4+56\,A\,b^8\,c^8\,d^3\,e^5-4\,B\,b^7\,c^9\,d^5\,e^3-20\,A\,b^7\,c^9\,d^4\,e^4+8\,A\,b^6\,c^{10}\,d^5\,e^3}{b^6\,c^7}+\frac{2\,\left(4\,b^7\,c^9\,e^3-8\,b^6\,c^{10}\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}+\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{-28\,B\,b^{11}\,c^5\,d\,e^7+104\,B\,b^{10}\,c^6\,d^2\,e^6+20\,A\,b^{10}\,c^6\,d\,e^7-136\,B\,b^9\,c^7\,d^3\,e^5-64\,A\,b^9\,c^7\,d^2\,e^6+64\,B\,b^8\,c^8\,d^4\,e^4+56\,A\,b^8\,c^8\,d^3\,e^5-4\,B\,b^7\,c^9\,d^5\,e^3-20\,A\,b^7\,c^9\,d^4\,e^4+8\,A\,b^6\,c^{10}\,d^5\,e^3}{b^6\,c^7}-\frac{2\,\left(4\,b^7\,c^9\,e^3-8\,b^6\,c^{10}\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}-\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}+\left(\left(\frac{-28\,B\,b^{11}\,c^5\,d\,e^7+104\,B\,b^{10}\,c^6\,d^2\,e^6+20\,A\,b^{10}\,c^6\,d\,e^7-136\,B\,b^9\,c^7\,d^3\,e^5-64\,A\,b^9\,c^7\,d^2\,e^6+64\,B\,b^8\,c^8\,d^4\,e^4+56\,A\,b^8\,c^8\,d^3\,e^5-4\,B\,b^7\,c^9\,d^5\,e^3-20\,A\,b^7\,c^9\,d^4\,e^4+8\,A\,b^6\,c^{10}\,d^5\,e^3}{b^6\,c^7}+\frac{2\,\left(4\,b^7\,c^9\,e^3-8\,b^6\,c^{10}\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}+\frac{2\,\sqrt{d+e\,x}\,\left(25\,A^2\,b^{10}\,c^2\,e^{12}-160\,A^2\,b^9\,c^3\,d\,e^{11}+396\,A^2\,b^8\,c^4\,d^2\,e^{10}-408\,A^2\,b^7\,c^5\,d^3\,e^9-42\,A^2\,b^6\,c^6\,d^4\,e^8+504\,A^2\,b^5\,c^7\,d^5\,e^7-420\,A^2\,b^4\,c^8\,d^6\,e^6+24\,A^2\,b^3\,c^9\,d^7\,e^5+234\,A^2\,b^2\,c^{10}\,d^8\,e^4-160\,A^2\,b\,c^{11}\,d^9\,e^3+32\,A^2\,c^{12}\,d^{10}\,e^2-70\,A\,B\,b^{11}\,c\,e^{12}+484\,A\,B\,b^{10}\,c^2\,d\,e^{11}-1368\,A\,B\,b^9\,c^3\,d^2\,e^{10}+1920\,A\,B\,b^8\,c^4\,d^3\,e^9-1092\,A\,B\,b^7\,c^5\,d^4\,e^8-504\,A\,B\,b^6\,c^6\,d^5\,e^7+1176\,A\,B\,b^5\,c^7\,d^6\,e^6-672\,A\,B\,b^4\,c^8\,d^7\,e^5+90\,A\,B\,b^3\,c^9\,d^8\,e^4+88\,A\,B\,b^2\,c^{10}\,d^9\,e^3-32\,A\,B\,b\,c^{11}\,d^{10}\,e^2+49\,B^2\,b^{12}\,e^{12}-364\,B^2\,b^{11}\,c\,d\,e^{11}+1152\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-1992\,B^2\,b^9\,c^3\,d^3\,e^9+1974\,B^2\,b^8\,c^4\,d^4\,e^8-1008\,B^2\,b^7\,c^5\,d^5\,e^7+84\,B^2\,b^6\,c^6\,d^6\,e^6+168\,B^2\,b^5\,c^7\,d^7\,e^5-63\,B^2\,b^4\,c^8\,d^8\,e^4-4\,B^2\,b^3\,c^9\,d^9\,e^3+8\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{b^4\,c^7}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}-\frac{2\,\left(225\,A^3\,b^{10}\,c^2\,d^4\,e^{13}-1540\,A^3\,b^9\,c^3\,d^5\,e^{12}+4204\,A^3\,b^8\,c^4\,d^6\,e^{11}-5256\,A^3\,b^7\,c^5\,d^7\,e^{10}+1659\,A^3\,b^6\,c^6\,d^8\,e^9+3048\,A^3\,b^5\,c^7\,d^9\,e^8-3430\,A^3\,b^4\,c^8\,d^{10}\,e^7+956\,A^3\,b^3\,c^9\,d^{11}\,e^6+326\,A^3\,b^2\,c^{10}\,d^{12}\,e^5-224\,A^3\,b\,c^{11}\,d^{13}\,e^4+32\,A^3\,c^{12}\,d^{14}\,e^3-630\,A^2\,B\,b^{11}\,c\,d^4\,e^{13}+4686\,A^2\,B\,b^{10}\,c^2\,d^5\,e^{12}-14568\,A^2\,B\,b^9\,c^3\,d^6\,e^{11}+23544\,A^2\,B\,b^8\,c^4\,d^7\,e^{10}-18891\,A^2\,B\,b^7\,c^5\,d^8\,e^9+2538\,A^2\,B\,b^6\,c^6\,d^9\,e^8+8214\,A^2\,B\,b^5\,c^7\,d^{10}\,e^7-6672\,A^2\,B\,b^4\,c^8\,d^{11}\,e^6+1851\,A^2\,B\,b^3\,c^9\,d^{12}\,e^5-24\,A^2\,B\,b^2\,c^{10}\,d^{13}\,e^4-48\,A^2\,B\,b\,c^{11}\,d^{14}\,e^3+441\,A\,B^2\,b^{12}\,d^4\,e^{13}-3612\,A\,B^2\,b^{11}\,c\,d^5\,e^{12}+12792\,A\,B^2\,b^{10}\,c^2\,d^6\,e^{11}-25272\,A\,B^2\,b^9\,c^3\,d^7\,e^{10}+29574\,A\,B^2\,b^8\,c^4\,d^8\,e^9-19404\,A\,B^2\,b^7\,c^5\,d^9\,e^8+4848\,A\,B^2\,b^6\,c^6\,d^{10}\,e^7+1824\,A\,B^2\,b^5\,c^7\,d^{11}\,e^6-1407\,A\,B^2\,b^4\,c^8\,d^{12}\,e^5+192\,A\,B^2\,b^3\,c^9\,d^{13}\,e^4+24\,A\,B^2\,b^2\,c^{10}\,d^{14}\,e^3+98\,B^3\,b^{12}\,d^5\,e^{12}-728\,B^3\,b^{11}\,c\,d^6\,e^{11}+2304\,B^3\,b^{10}\,c^2\,d^7\,e^{10}-3984\,B^3\,b^9\,c^3\,d^8\,e^9+3948\,B^3\,b^8\,c^4\,d^9\,e^8-2044\,B^3\,b^7\,c^5\,d^{10}\,e^7+272\,B^3\,b^6\,c^6\,d^{11}\,e^6+200\,B^3\,b^5\,c^7\,d^{12}\,e^5-62\,B^3\,b^4\,c^8\,d^{13}\,e^4-4\,B^3\,b^3\,c^9\,d^{14}\,e^3\right)}{b^6\,c^7}}\right)\,\sqrt{\frac{-25\,A^2\,b^9\,c^2\,e^9+135\,A^2\,b^8\,c^3\,d\,e^8-261\,A^2\,b^7\,c^4\,d^2\,e^7+147\,A^2\,b^6\,c^5\,d^3\,e^6+189\,A^2\,b^5\,c^6\,d^4\,e^5-315\,A^2\,b^4\,c^7\,d^5\,e^4+105\,A^2\,b^3\,c^8\,d^6\,e^3+81\,A^2\,b^2\,c^9\,d^7\,e^2-72\,A^2\,b\,c^{10}\,d^8\,e+16\,A^2\,c^{11}\,d^9+70\,A\,B\,b^{10}\,c\,e^9-414\,A\,B\,b^9\,c^2\,d\,e^8+954\,A\,B\,b^8\,c^3\,d^2\,e^7-966\,A\,B\,b^7\,c^4\,d^3\,e^6+126\,A\,B\,b^6\,c^5\,d^4\,e^5+630\,A\,B\,b^5\,c^6\,d^5\,e^4-546\,A\,B\,b^4\,c^7\,d^6\,e^3+126\,A\,B\,b^3\,c^8\,d^7\,e^2+36\,A\,B\,b^2\,c^9\,d^8\,e-16\,A\,B\,b\,c^{10}\,d^9-49\,B^2\,b^{11}\,e^9+315\,B^2\,b^{10}\,c\,d\,e^8-837\,B^2\,b^9\,c^2\,d^2\,e^7+1155\,B^2\,b^8\,c^3\,d^3\,e^6-819\,B^2\,b^7\,c^4\,d^4\,e^5+189\,B^2\,b^6\,c^5\,d^5\,e^4+105\,B^2\,b^5\,c^6\,d^6\,e^3-63\,B^2\,b^4\,c^7\,d^7\,e^2+4\,B^2\,b^2\,c^9\,d^9}{4\,b^6\,c^9}}\,2{}\mathrm{i}","Not used",1,"atan(((((20*A*b^10*c^6*d*e^7 - 28*B*b^11*c^5*d*e^7 + 8*A*b^6*c^10*d^5*e^3 - 20*A*b^7*c^9*d^4*e^4 + 56*A*b^8*c^8*d^3*e^5 - 64*A*b^9*c^7*d^2*e^6 - 4*B*b^7*c^9*d^5*e^3 + 64*B*b^8*c^8*d^4*e^4 - 136*B*b^9*c^7*d^3*e^5 + 104*B*b^10*c^6*d^2*e^6)/(b^6*c^7) - (2*(4*b^7*c^9*e^3 - 8*b^6*c^10*d*e^2)*(d + e*x)^(1/2)*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) - (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2)*1i - (((20*A*b^10*c^6*d*e^7 - 28*B*b^11*c^5*d*e^7 + 8*A*b^6*c^10*d^5*e^3 - 20*A*b^7*c^9*d^4*e^4 + 56*A*b^8*c^8*d^3*e^5 - 64*A*b^9*c^7*d^2*e^6 - 4*B*b^7*c^9*d^5*e^3 + 64*B*b^8*c^8*d^4*e^4 - 136*B*b^9*c^7*d^3*e^5 + 104*B*b^10*c^6*d^2*e^6)/(b^6*c^7) + (2*(4*b^7*c^9*e^3 - 8*b^6*c^10*d*e^2)*(d + e*x)^(1/2)*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) + (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2)*1i)/((((20*A*b^10*c^6*d*e^7 - 28*B*b^11*c^5*d*e^7 + 8*A*b^6*c^10*d^5*e^3 - 20*A*b^7*c^9*d^4*e^4 + 56*A*b^8*c^8*d^3*e^5 - 64*A*b^9*c^7*d^2*e^6 - 4*B*b^7*c^9*d^5*e^3 + 64*B*b^8*c^8*d^4*e^4 - 136*B*b^9*c^7*d^3*e^5 + 104*B*b^10*c^6*d^2*e^6)/(b^6*c^7) - (2*(4*b^7*c^9*e^3 - 8*b^6*c^10*d*e^2)*(d + e*x)^(1/2)*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) - (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) + (((20*A*b^10*c^6*d*e^7 - 28*B*b^11*c^5*d*e^7 + 8*A*b^6*c^10*d^5*e^3 - 20*A*b^7*c^9*d^4*e^4 + 56*A*b^8*c^8*d^3*e^5 - 64*A*b^9*c^7*d^2*e^6 - 4*B*b^7*c^9*d^5*e^3 + 64*B*b^8*c^8*d^4*e^4 - 136*B*b^9*c^7*d^3*e^5 + 104*B*b^10*c^6*d^2*e^6)/(b^6*c^7) + (2*(4*b^7*c^9*e^3 - 8*b^6*c^10*d*e^2)*(d + e*x)^(1/2)*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) + (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2) - (2*(32*A^3*c^12*d^14*e^3 + 98*B^3*b^12*d^5*e^12 + 326*A^3*b^2*c^10*d^12*e^5 + 956*A^3*b^3*c^9*d^11*e^6 - 3430*A^3*b^4*c^8*d^10*e^7 + 3048*A^3*b^5*c^7*d^9*e^8 + 1659*A^3*b^6*c^6*d^8*e^9 - 5256*A^3*b^7*c^5*d^7*e^10 + 4204*A^3*b^8*c^4*d^6*e^11 - 1540*A^3*b^9*c^3*d^5*e^12 + 225*A^3*b^10*c^2*d^4*e^13 - 4*B^3*b^3*c^9*d^14*e^3 - 62*B^3*b^4*c^8*d^13*e^4 + 200*B^3*b^5*c^7*d^12*e^5 + 272*B^3*b^6*c^6*d^11*e^6 - 2044*B^3*b^7*c^5*d^10*e^7 + 3948*B^3*b^8*c^4*d^9*e^8 - 3984*B^3*b^9*c^3*d^8*e^9 + 2304*B^3*b^10*c^2*d^7*e^10 + 441*A*B^2*b^12*d^4*e^13 - 224*A^3*b*c^11*d^13*e^4 - 728*B^3*b^11*c*d^6*e^11 + 24*A*B^2*b^2*c^10*d^14*e^3 + 192*A*B^2*b^3*c^9*d^13*e^4 - 1407*A*B^2*b^4*c^8*d^12*e^5 + 1824*A*B^2*b^5*c^7*d^11*e^6 + 4848*A*B^2*b^6*c^6*d^10*e^7 - 19404*A*B^2*b^7*c^5*d^9*e^8 + 29574*A*B^2*b^8*c^4*d^8*e^9 - 25272*A*B^2*b^9*c^3*d^7*e^10 + 12792*A*B^2*b^10*c^2*d^6*e^11 - 24*A^2*B*b^2*c^10*d^13*e^4 + 1851*A^2*B*b^3*c^9*d^12*e^5 - 6672*A^2*B*b^4*c^8*d^11*e^6 + 8214*A^2*B*b^5*c^7*d^10*e^7 + 2538*A^2*B*b^6*c^6*d^9*e^8 - 18891*A^2*B*b^7*c^5*d^8*e^9 + 23544*A^2*B*b^8*c^4*d^7*e^10 - 14568*A^2*B*b^9*c^3*d^6*e^11 + 4686*A^2*B*b^10*c^2*d^5*e^12 - 3612*A*B^2*b^11*c*d^5*e^12 - 48*A^2*B*b*c^11*d^14*e^3 - 630*A^2*B*b^11*c*d^4*e^13))/(b^6*c^7)))*((16*A^2*c^11*d^9 - 49*B^2*b^11*e^9 - 25*A^2*b^9*c^2*e^9 + 4*B^2*b^2*c^9*d^9 + 81*A^2*b^2*c^9*d^7*e^2 + 105*A^2*b^3*c^8*d^6*e^3 - 315*A^2*b^4*c^7*d^5*e^4 + 189*A^2*b^5*c^6*d^4*e^5 + 147*A^2*b^6*c^5*d^3*e^6 - 261*A^2*b^7*c^4*d^2*e^7 - 63*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^5*c^6*d^6*e^3 + 189*B^2*b^6*c^5*d^5*e^4 - 819*B^2*b^7*c^4*d^4*e^5 + 1155*B^2*b^8*c^3*d^3*e^6 - 837*B^2*b^9*c^2*d^2*e^7 - 72*A^2*b*c^10*d^8*e + 315*B^2*b^10*c*d*e^8 + 135*A^2*b^8*c^3*d*e^8 - 16*A*B*b*c^10*d^9 + 70*A*B*b^10*c*e^9 + 36*A*B*b^2*c^9*d^8*e - 414*A*B*b^9*c^2*d*e^8 + 126*A*B*b^3*c^8*d^7*e^2 - 546*A*B*b^4*c^7*d^6*e^3 + 630*A*B*b^5*c^6*d^5*e^4 + 126*A*B*b^6*c^5*d^4*e^5 - 966*A*B*b^7*c^4*d^3*e^6 + 954*A*B*b^8*c^3*d^2*e^7)/(4*b^6*c^9))^(1/2)*2i - (((d + e*x)^(1/2)*(2*A*c^5*d^5*e - B*b^5*d*e^5 - 5*A*b*c^4*d^4*e^2 + 4*B*b^4*c*d^2*e^4 + 6*A*b^2*c^3*d^3*e^3 - 4*A*b^3*c^2*d^2*e^4 + 4*B*b^2*c^3*d^4*e^2 - 6*B*b^3*c^2*d^3*e^3 + A*b^4*c*d*e^5 - B*b*c^4*d^5*e))/b^2 + ((d + e*x)^(3/2)*(B*b^5*e^5 - A*b^4*c*e^5 - 2*A*c^5*d^4*e + 4*A*b*c^4*d^3*e^2 + 4*A*b^3*c^2*d*e^4 - 6*A*b^2*c^3*d^2*e^3 - 4*B*b^2*c^3*d^3*e^2 + 6*B*b^3*c^2*d^2*e^3 + B*b*c^4*d^4*e - 4*B*b^4*c*d*e^4))/b^2)/((2*c^5*d - b*c^4*e)*(d + e*x) - c^5*(d + e*x)^2 - c^5*d^2 + b*c^4*d*e) - log((((((4*d*e^3*(b*e - c*d)*(2*A*c^4*d^3 + 7*B*b^4*e^3 - 5*A*b^3*c*e^3 - B*b*c^3*d^3 + 11*A*b^2*c^2*d*e^2 + 15*B*b^2*c^2*d^2*e - 3*A*b*c^3*d^2*e - 19*B*b^3*c*d*e^2))/c^2 + 4*b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))/2 + (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))/2 - (d^4*e^3*(b*e - c*d)^4*(4*B^3*b^3*c^5*d^6 - 225*A^3*b^6*c^2*e^6 - 32*A^3*c^8*d^6 - 441*A*B^2*b^8*e^6 - 98*B^3*b^8*d*e^5 + 250*A^3*b^2*c^6*d^4*e^2 - 660*A^3*b^3*c^5*d^3*e^3 - 294*A^3*b^4*c^4*d^2*e^4 + 88*B^3*b^5*c^3*d^4*e^2 - 372*B^3*b^6*c^2*d^3*e^3 + 48*A^2*B*b*c^7*d^6 + 630*A^2*B*b^7*c*e^6 + 96*A^3*b*c^7*d^5*e - 24*A*B^2*b^2*c^6*d^6 + 640*A^3*b^5*c^3*d*e^5 + 78*B^3*b^4*c^4*d^5*e + 336*B^3*b^7*c*d^2*e^4 + 399*A*B^2*b^4*c^4*d^4*e^2 + 1404*A*B^2*b^5*c^3*d^3*e^3 - 2754*A*B^2*b^6*c^2*d^2*e^4 - 1275*A^2*B*b^3*c^5*d^4*e^2 + 468*A^2*B*b^4*c^4*d^3*e^3 + 2124*A^2*B*b^5*c^3*d^2*e^4 + 1848*A*B^2*b^7*c*d*e^5 - 288*A*B^2*b^3*c^5*d^5*e + 216*A^2*B*b^2*c^6*d^5*e - 2166*A^2*B*b^6*c^2*d*e^5))/(b^6*c^7))*((4*A^2*c^2*d^9 + B^2*b^2*d^9 + (81*A^2*b^2*d^7*e^2)/4 - 4*A*B*b*c*d^9 + 9*A*B*b^2*d^8*e - 18*A^2*b*c*d^8*e)/b^6)^(1/2) + log((((((4*d*e^3*(b*e - c*d)*(2*A*c^4*d^3 + 7*B*b^4*e^3 - 5*A*b^3*c*e^3 - B*b*c^3*d^3 + 11*A*b^2*c^2*d*e^2 + 15*B*b^2*c^2*d^2*e - 3*A*b*c^3*d^2*e - 19*B*b^3*c*d*e^2))/c^2 - 4*b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))/2 - (2*(d + e*x)^(1/2)*(49*B^2*b^12*e^12 + 25*A^2*b^10*c^2*e^12 + 32*A^2*c^12*d^10*e^2 + 234*A^2*b^2*c^10*d^8*e^4 + 24*A^2*b^3*c^9*d^7*e^5 - 420*A^2*b^4*c^8*d^6*e^6 + 504*A^2*b^5*c^7*d^5*e^7 - 42*A^2*b^6*c^6*d^4*e^8 - 408*A^2*b^7*c^5*d^3*e^9 + 396*A^2*b^8*c^4*d^2*e^10 + 8*B^2*b^2*c^10*d^10*e^2 - 4*B^2*b^3*c^9*d^9*e^3 - 63*B^2*b^4*c^8*d^8*e^4 + 168*B^2*b^5*c^7*d^7*e^5 + 84*B^2*b^6*c^6*d^6*e^6 - 1008*B^2*b^7*c^5*d^5*e^7 + 1974*B^2*b^8*c^4*d^4*e^8 - 1992*B^2*b^9*c^3*d^3*e^9 + 1152*B^2*b^10*c^2*d^2*e^10 - 364*B^2*b^11*c*d*e^11 - 160*A^2*b*c^11*d^9*e^3 - 160*A^2*b^9*c^3*d*e^11 - 70*A*B*b^11*c*e^12 - 32*A*B*b*c^11*d^10*e^2 + 484*A*B*b^10*c^2*d*e^11 + 88*A*B*b^2*c^10*d^9*e^3 + 90*A*B*b^3*c^9*d^8*e^4 - 672*A*B*b^4*c^8*d^7*e^5 + 1176*A*B*b^5*c^7*d^6*e^6 - 504*A*B*b^6*c^6*d^5*e^7 - 1092*A*B*b^7*c^5*d^4*e^8 + 1920*A*B*b^8*c^4*d^3*e^9 - 1368*A*B*b^9*c^3*d^2*e^10))/(b^4*c^7))*((d^7*(9*A*b*e - 4*A*c*d + 2*B*b*d)^2)/b^6)^(1/2))/2 - (d^4*e^3*(b*e - c*d)^4*(4*B^3*b^3*c^5*d^6 - 225*A^3*b^6*c^2*e^6 - 32*A^3*c^8*d^6 - 441*A*B^2*b^8*e^6 - 98*B^3*b^8*d*e^5 + 250*A^3*b^2*c^6*d^4*e^2 - 660*A^3*b^3*c^5*d^3*e^3 - 294*A^3*b^4*c^4*d^2*e^4 + 88*B^3*b^5*c^3*d^4*e^2 - 372*B^3*b^6*c^2*d^3*e^3 + 48*A^2*B*b*c^7*d^6 + 630*A^2*B*b^7*c*e^6 + 96*A^3*b*c^7*d^5*e - 24*A*B^2*b^2*c^6*d^6 + 640*A^3*b^5*c^3*d*e^5 + 78*B^3*b^4*c^4*d^5*e + 336*B^3*b^7*c*d^2*e^4 + 399*A*B^2*b^4*c^4*d^4*e^2 + 1404*A*B^2*b^5*c^3*d^3*e^3 - 2754*A*B^2*b^6*c^2*d^2*e^4 - 1275*A^2*B*b^3*c^5*d^4*e^2 + 468*A^2*B*b^4*c^4*d^3*e^3 + 2124*A^2*B*b^5*c^3*d^2*e^4 + 1848*A*B^2*b^7*c*d*e^5 - 288*A*B^2*b^3*c^5*d^5*e + 216*A^2*B*b^2*c^6*d^5*e - 2166*A^2*B*b^6*c^2*d*e^5))/(b^6*c^7))*((16*A^2*c^2*d^9 + 4*B^2*b^2*d^9 + 81*A^2*b^2*d^7*e^2 - 16*A*B*b*c*d^9 + 36*A*B*b^2*d^8*e - 72*A^2*b*c*d^8*e)/(4*b^6))^(1/2) + ((2*A*e^3 - 2*B*d*e^2)/(3*c^2) + (2*B*e^2*(4*c^2*d - 2*b*c*e))/(3*c^4))*(d + e*x)^(3/2) + (((4*c^2*d - 2*b*c*e)*((2*A*e^3 - 2*B*d*e^2)/c^2 + (2*B*e^2*(4*c^2*d - 2*b*c*e))/c^4))/c^2 - (2*B*e^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e))/c^4)*(d + e*x)^(1/2) + (2*B*e^2*(d + e*x)^(5/2))/(5*c^2)","B"
1239,1,7328,292,3.293481,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^2,x)","\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,b^4\,e^4-3\,B\,b^3\,c\,d\,e^3-A\,b^3\,c\,e^4+3\,B\,b^2\,c^2\,d^2\,e^2+3\,A\,b^2\,c^2\,d\,e^3-B\,b\,c^3\,d^3\,e-3\,A\,b\,c^3\,d^2\,e^2+2\,A\,c^4\,d^3\,e\right)}{b^2}-\frac{\sqrt{d+e\,x}\,\left(B\,b^4\,d\,e^4-3\,B\,b^3\,c\,d^2\,e^3-A\,b^3\,c\,d\,e^4+3\,B\,b^2\,c^2\,d^3\,e^2+3\,A\,b^2\,c^2\,d^2\,e^3-B\,b\,c^3\,d^4\,e-4\,A\,b\,c^3\,d^3\,e^2+2\,A\,c^4\,d^4\,e\right)}{b^2}}{\left(2\,c^4\,d-b\,c^3\,e\right)\,\left(d+e\,x\right)-c^4\,{\left(d+e\,x\right)}^2-c^4\,d^2+b\,c^3\,d\,e}+\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{c^2}+\frac{2\,B\,e^2\,\left(4\,c^2\,d-2\,b\,c\,e\right)}{c^4}\right)\,\sqrt{d+e\,x}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}+\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}+\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}-\frac{\left(\frac{\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}-\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}-\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}}{\frac{2\,\left(63\,A^3\,b^8\,c^2\,d^3\,e^{11}-246\,A^3\,b^7\,c^3\,d^4\,e^{10}+169\,A^3\,b^6\,c^4\,d^5\,e^9+413\,A^3\,b^5\,c^5\,d^6\,e^8-658\,A^3\,b^4\,c^6\,d^7\,e^7+141\,A^3\,b^3\,c^7\,d^8\,e^6+262\,A^3\,b^2\,c^8\,d^9\,e^5-176\,A^3\,b\,c^9\,d^{10}\,e^4+32\,A^3\,c^{10}\,d^{11}\,e^3-210\,A^2\,B\,b^9\,c\,d^3\,e^{11}+1034\,A^2\,B\,b^8\,c^2\,d^4\,e^{10}-1650\,A^2\,B\,b^7\,c^3\,d^5\,e^9+287\,A^2\,B\,b^6\,c^4\,d^6\,e^8+1953\,A^2\,B\,b^5\,c^5\,d^7\,e^7-2133\,A^2\,B\,b^4\,c^6\,d^8\,e^6+727\,A^2\,B\,b^3\,c^7\,d^9\,e^5+40\,A^2\,B\,b^2\,c^8\,d^{10}\,e^4-48\,A^2\,B\,b\,c^9\,d^{11}\,e^3+175\,A\,B^2\,b^{10}\,d^3\,e^{11}-1070\,A\,B^2\,b^9\,c\,d^4\,e^{10}+2589\,A\,B^2\,b^8\,c^2\,d^5\,e^9-2912\,A\,B^2\,b^7\,c^3\,d^6\,e^8+1113\,A\,B^2\,b^6\,c^4\,d^7\,e^7+594\,A\,B^2\,b^5\,c^5\,d^8\,e^6-605\,A\,B^2\,b^4\,c^6\,d^9\,e^5+92\,A\,B^2\,b^3\,c^7\,d^{10}\,e^4+24\,A\,B^2\,b^2\,c^8\,d^{11}\,e^3+50\,B^3\,b^{10}\,d^4\,e^{10}-260\,B^3\,b^9\,c\,d^5\,e^9+518\,B^3\,b^8\,c^2\,d^6\,e^8-448\,B^3\,b^7\,c^3\,d^7\,e^7+90\,B^3\,b^6\,c^4\,d^8\,e^6+88\,B^3\,b^5\,c^5\,d^9\,e^5-34\,B^3\,b^4\,c^6\,d^{10}\,e^4-4\,B^3\,b^3\,c^7\,d^{11}\,e^3\right)}{b^6\,c^5}+\frac{\left(\frac{\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}+\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}+\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}+\frac{\left(\frac{\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}-\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{d^5}\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}-\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}}\right)\,\sqrt{d^5}\,\left(7\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^3}+\frac{2\,B\,e^2\,{\left(d+e\,x\right)}^{3/2}}{3\,c^2}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}+\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^{12}}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^7}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}-\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^{12}}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^7}}{\frac{2\,\left(63\,A^3\,b^8\,c^2\,d^3\,e^{11}-246\,A^3\,b^7\,c^3\,d^4\,e^{10}+169\,A^3\,b^6\,c^4\,d^5\,e^9+413\,A^3\,b^5\,c^5\,d^6\,e^8-658\,A^3\,b^4\,c^6\,d^7\,e^7+141\,A^3\,b^3\,c^7\,d^8\,e^6+262\,A^3\,b^2\,c^8\,d^9\,e^5-176\,A^3\,b\,c^9\,d^{10}\,e^4+32\,A^3\,c^{10}\,d^{11}\,e^3-210\,A^2\,B\,b^9\,c\,d^3\,e^{11}+1034\,A^2\,B\,b^8\,c^2\,d^4\,e^{10}-1650\,A^2\,B\,b^7\,c^3\,d^5\,e^9+287\,A^2\,B\,b^6\,c^4\,d^6\,e^8+1953\,A^2\,B\,b^5\,c^5\,d^7\,e^7-2133\,A^2\,B\,b^4\,c^6\,d^8\,e^6+727\,A^2\,B\,b^3\,c^7\,d^9\,e^5+40\,A^2\,B\,b^2\,c^8\,d^{10}\,e^4-48\,A^2\,B\,b\,c^9\,d^{11}\,e^3+175\,A\,B^2\,b^{10}\,d^3\,e^{11}-1070\,A\,B^2\,b^9\,c\,d^4\,e^{10}+2589\,A\,B^2\,b^8\,c^2\,d^5\,e^9-2912\,A\,B^2\,b^7\,c^3\,d^6\,e^8+1113\,A\,B^2\,b^6\,c^4\,d^7\,e^7+594\,A\,B^2\,b^5\,c^5\,d^8\,e^6-605\,A\,B^2\,b^4\,c^6\,d^9\,e^5+92\,A\,B^2\,b^3\,c^7\,d^{10}\,e^4+24\,A\,B^2\,b^2\,c^8\,d^{11}\,e^3+50\,B^3\,b^{10}\,d^4\,e^{10}-260\,B^3\,b^9\,c\,d^5\,e^9+518\,B^3\,b^8\,c^2\,d^6\,e^8-448\,B^3\,b^7\,c^3\,d^7\,e^7+90\,B^3\,b^6\,c^4\,d^8\,e^6+88\,B^3\,b^5\,c^5\,d^9\,e^5-34\,B^3\,b^4\,c^6\,d^{10}\,e^4-4\,B^3\,b^3\,c^7\,d^{11}\,e^3\right)}{b^6\,c^5}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}+\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}+\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^{12}}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^2\,e^{10}-30\,A^2\,b^7\,c^3\,d\,e^9+7\,A^2\,b^6\,c^4\,d^2\,e^8+84\,A^2\,b^5\,c^5\,d^3\,e^7-105\,A^2\,b^4\,c^6\,d^4\,e^6-14\,A^2\,b^3\,c^7\,d^5\,e^5+154\,A^2\,b^2\,c^8\,d^6\,e^4-128\,A^2\,b\,c^9\,d^7\,e^3+32\,A^2\,c^{10}\,d^8\,e^2-30\,A\,B\,b^9\,c\,e^{10}+128\,A\,B\,b^8\,c^2\,d\,e^9-154\,A\,B\,b^7\,c^3\,d^2\,e^8-84\,A\,B\,b^6\,c^4\,d^3\,e^7+350\,A\,B\,b^5\,c^5\,d^4\,e^6-280\,A\,B\,b^4\,c^6\,d^5\,e^5+42\,A\,B\,b^3\,c^7\,d^6\,e^4+72\,A\,B\,b^2\,c^8\,d^7\,e^3-32\,A\,B\,b\,c^9\,d^8\,e^2+25\,B^2\,b^{10}\,e^{10}-130\,B^2\,b^9\,c\,d\,e^9+259\,B^2\,b^8\,c^2\,d^2\,e^8-224\,B^2\,b^7\,c^3\,d^3\,e^7+35\,B^2\,b^6\,c^4\,d^4\,e^6+70\,B^2\,b^5\,c^5\,d^5\,e^5-35\,B^2\,b^4\,c^6\,d^6\,e^4-4\,B^2\,b^3\,c^7\,d^7\,e^3+8\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{b^4\,c^5}-\frac{\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(\frac{-20\,B\,b^{10}\,c^4\,d\,e^6+52\,B\,b^9\,c^5\,d^2\,e^5+12\,A\,b^9\,c^5\,d\,e^6-36\,B\,b^8\,c^6\,d^3\,e^4-20\,A\,b^8\,c^6\,d^2\,e^5+4\,B\,b^7\,c^7\,d^4\,e^3+16\,A\,b^7\,c^7\,d^3\,e^4-8\,A\,b^6\,c^8\,d^4\,e^3}{b^6\,c^5}-\frac{\left(4\,b^7\,c^7\,e^3-8\,b^6\,c^8\,d\,e^2\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^{12}}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}\right)\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^7}}\right)\,\sqrt{-c^7\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d-5\,B\,b^2\,e+3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^3\,c^7}","Not used",1,"(((d + e*x)^(3/2)*(B*b^4*e^4 - A*b^3*c*e^4 + 2*A*c^4*d^3*e - 3*A*b*c^3*d^2*e^2 + 3*A*b^2*c^2*d*e^3 + 3*B*b^2*c^2*d^2*e^2 - B*b*c^3*d^3*e - 3*B*b^3*c*d*e^3))/b^2 - ((d + e*x)^(1/2)*(2*A*c^4*d^4*e + B*b^4*d*e^4 - 4*A*b*c^3*d^3*e^2 - 3*B*b^3*c*d^2*e^3 + 3*A*b^2*c^2*d^2*e^3 + 3*B*b^2*c^2*d^3*e^2 - A*b^3*c*d*e^4 - B*b*c^3*d^4*e))/b^2)/((2*c^4*d - b*c^3*e)*(d + e*x) - c^4*(d + e*x)^2 - c^4*d^2 + b*c^3*d*e) + ((2*A*e^3 - 2*B*d*e^2)/c^2 + (2*B*e^2*(4*c^2*d - 2*b*c*e))/c^4)*(d + e*x)^(1/2) + (atan(((((((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) + ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) + (2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3) - (((((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) - ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) - (2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3))/((2*(32*A^3*c^10*d^11*e^3 + 50*B^3*b^10*d^4*e^10 + 262*A^3*b^2*c^8*d^9*e^5 + 141*A^3*b^3*c^7*d^8*e^6 - 658*A^3*b^4*c^6*d^7*e^7 + 413*A^3*b^5*c^5*d^6*e^8 + 169*A^3*b^6*c^4*d^5*e^9 - 246*A^3*b^7*c^3*d^4*e^10 + 63*A^3*b^8*c^2*d^3*e^11 - 4*B^3*b^3*c^7*d^11*e^3 - 34*B^3*b^4*c^6*d^10*e^4 + 88*B^3*b^5*c^5*d^9*e^5 + 90*B^3*b^6*c^4*d^8*e^6 - 448*B^3*b^7*c^3*d^7*e^7 + 518*B^3*b^8*c^2*d^6*e^8 + 175*A*B^2*b^10*d^3*e^11 - 176*A^3*b*c^9*d^10*e^4 - 260*B^3*b^9*c*d^5*e^9 + 24*A*B^2*b^2*c^8*d^11*e^3 + 92*A*B^2*b^3*c^7*d^10*e^4 - 605*A*B^2*b^4*c^6*d^9*e^5 + 594*A*B^2*b^5*c^5*d^8*e^6 + 1113*A*B^2*b^6*c^4*d^7*e^7 - 2912*A*B^2*b^7*c^3*d^6*e^8 + 2589*A*B^2*b^8*c^2*d^5*e^9 + 40*A^2*B*b^2*c^8*d^10*e^4 + 727*A^2*B*b^3*c^7*d^9*e^5 - 2133*A^2*B*b^4*c^6*d^8*e^6 + 1953*A^2*B*b^5*c^5*d^7*e^7 + 287*A^2*B*b^6*c^4*d^6*e^8 - 1650*A^2*B*b^7*c^3*d^5*e^9 + 1034*A^2*B*b^8*c^2*d^4*e^10 - 1070*A*B^2*b^9*c*d^4*e^10 - 48*A^2*B*b*c^9*d^11*e^3 - 210*A^2*B*b^9*c*d^3*e^11))/(b^6*c^5) + (((((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) + ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) + (2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) + (((((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) - ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(d^5)^(1/2)*(d + e*x)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) - (2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3)))*(d^5)^(1/2)*(7*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/b^3 + (2*B*e^2*(d + e*x)^(3/2))/(3*c^2) + (atan((((-c^7*(b*e - c*d)^5)^(1/2)*((2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5) + ((-c^7*(b*e - c*d)^5)^(1/2)*((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) + ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(b^7*c^12))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d)*1i)/(2*b^3*c^7) + ((-c^7*(b*e - c*d)^5)^(1/2)*((2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5) - ((-c^7*(b*e - c*d)^5)^(1/2)*((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) - ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(b^7*c^12))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d)*1i)/(2*b^3*c^7))/((2*(32*A^3*c^10*d^11*e^3 + 50*B^3*b^10*d^4*e^10 + 262*A^3*b^2*c^8*d^9*e^5 + 141*A^3*b^3*c^7*d^8*e^6 - 658*A^3*b^4*c^6*d^7*e^7 + 413*A^3*b^5*c^5*d^6*e^8 + 169*A^3*b^6*c^4*d^5*e^9 - 246*A^3*b^7*c^3*d^4*e^10 + 63*A^3*b^8*c^2*d^3*e^11 - 4*B^3*b^3*c^7*d^11*e^3 - 34*B^3*b^4*c^6*d^10*e^4 + 88*B^3*b^5*c^5*d^9*e^5 + 90*B^3*b^6*c^4*d^8*e^6 - 448*B^3*b^7*c^3*d^7*e^7 + 518*B^3*b^8*c^2*d^6*e^8 + 175*A*B^2*b^10*d^3*e^11 - 176*A^3*b*c^9*d^10*e^4 - 260*B^3*b^9*c*d^5*e^9 + 24*A*B^2*b^2*c^8*d^11*e^3 + 92*A*B^2*b^3*c^7*d^10*e^4 - 605*A*B^2*b^4*c^6*d^9*e^5 + 594*A*B^2*b^5*c^5*d^8*e^6 + 1113*A*B^2*b^6*c^4*d^7*e^7 - 2912*A*B^2*b^7*c^3*d^6*e^8 + 2589*A*B^2*b^8*c^2*d^5*e^9 + 40*A^2*B*b^2*c^8*d^10*e^4 + 727*A^2*B*b^3*c^7*d^9*e^5 - 2133*A^2*B*b^4*c^6*d^8*e^6 + 1953*A^2*B*b^5*c^5*d^7*e^7 + 287*A^2*B*b^6*c^4*d^6*e^8 - 1650*A^2*B*b^7*c^3*d^5*e^9 + 1034*A^2*B*b^8*c^2*d^4*e^10 - 1070*A*B^2*b^9*c*d^4*e^10 - 48*A^2*B*b*c^9*d^11*e^3 - 210*A^2*B*b^9*c*d^3*e^11))/(b^6*c^5) + ((-c^7*(b*e - c*d)^5)^(1/2)*((2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5) + ((-c^7*(b*e - c*d)^5)^(1/2)*((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) + ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(b^7*c^12))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7) - ((-c^7*(b*e - c*d)^5)^(1/2)*((2*(d + e*x)^(1/2)*(25*B^2*b^10*e^10 + 9*A^2*b^8*c^2*e^10 + 32*A^2*c^10*d^8*e^2 + 154*A^2*b^2*c^8*d^6*e^4 - 14*A^2*b^3*c^7*d^5*e^5 - 105*A^2*b^4*c^6*d^4*e^6 + 84*A^2*b^5*c^5*d^3*e^7 + 7*A^2*b^6*c^4*d^2*e^8 + 8*B^2*b^2*c^8*d^8*e^2 - 4*B^2*b^3*c^7*d^7*e^3 - 35*B^2*b^4*c^6*d^6*e^4 + 70*B^2*b^5*c^5*d^5*e^5 + 35*B^2*b^6*c^4*d^4*e^6 - 224*B^2*b^7*c^3*d^3*e^7 + 259*B^2*b^8*c^2*d^2*e^8 - 130*B^2*b^9*c*d*e^9 - 128*A^2*b*c^9*d^7*e^3 - 30*A^2*b^7*c^3*d*e^9 - 30*A*B*b^9*c*e^10 - 32*A*B*b*c^9*d^8*e^2 + 128*A*B*b^8*c^2*d*e^9 + 72*A*B*b^2*c^8*d^7*e^3 + 42*A*B*b^3*c^7*d^6*e^4 - 280*A*B*b^4*c^6*d^5*e^5 + 350*A*B*b^5*c^5*d^4*e^6 - 84*A*B*b^6*c^4*d^3*e^7 - 154*A*B*b^7*c^3*d^2*e^8))/(b^4*c^5) - ((-c^7*(b*e - c*d)^5)^(1/2)*((12*A*b^9*c^5*d*e^6 - 20*B*b^10*c^4*d*e^6 - 8*A*b^6*c^8*d^4*e^3 + 16*A*b^7*c^7*d^3*e^4 - 20*A*b^8*c^6*d^2*e^5 + 4*B*b^7*c^7*d^4*e^3 - 36*B*b^8*c^6*d^3*e^4 + 52*B*b^9*c^5*d^2*e^5)/(b^6*c^5) - ((4*b^7*c^7*e^3 - 8*b^6*c^8*d*e^2)*(-c^7*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(b^7*c^12))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7))*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d))/(2*b^3*c^7)))*(-c^7*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d - 5*B*b^2*e + 3*A*b*c*e - 2*B*b*c*d)*1i)/(b^3*c^7)","B"
1240,1,5878,225,2.700258,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^2,x)","\frac{2\,B\,e^2\,\sqrt{d+e\,x}}{c^2}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}+\frac{\sqrt{d^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}+\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^3}\right)\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\sqrt{d^3}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}-\frac{\sqrt{d^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}-\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^3}\right)\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\sqrt{d^3}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}}{\frac{2\,\left(5\,A^3\,b^6\,c^2\,d^2\,e^9+16\,A^3\,b^5\,c^3\,d^3\,e^8-41\,A^3\,b^4\,c^4\,d^4\,e^7-50\,A^3\,b^3\,c^5\,d^5\,e^6+166\,A^3\,b^2\,c^6\,d^6\,e^5-128\,A^3\,b\,c^7\,d^7\,e^4+32\,A^3\,c^8\,d^8\,e^3-30\,A^2\,B\,b^7\,c\,d^2\,e^9+6\,A^2\,B\,b^6\,c^2\,d^3\,e^8+249\,A^2\,B\,b^5\,c^3\,d^4\,e^7-420\,A^2\,B\,b^4\,c^4\,d^5\,e^6+171\,A^2\,B\,b^3\,c^5\,d^6\,e^5+72\,A^2\,B\,b^2\,c^6\,d^7\,e^4-48\,A^2\,B\,b\,c^7\,d^8\,e^3+45\,A\,B^2\,b^8\,d^2\,e^9-168\,A\,B^2\,b^7\,c\,d^3\,e^8+138\,A\,B^2\,b^6\,c^2\,d^4\,e^7+120\,A\,B^2\,b^5\,c^3\,d^5\,e^6-183\,A\,B^2\,b^4\,c^4\,d^6\,e^5+24\,A\,B^2\,b^3\,c^5\,d^7\,e^4+24\,A\,B^2\,b^2\,c^6\,d^8\,e^3+18\,B^3\,b^8\,d^3\,e^8-48\,B^3\,b^7\,c\,d^4\,e^7+20\,B^3\,b^6\,c^2\,d^5\,e^6+28\,B^3\,b^5\,c^3\,d^6\,e^5-14\,B^3\,b^4\,c^4\,d^7\,e^4-4\,B^3\,b^3\,c^5\,d^8\,e^3\right)}{b^6\,c^3}-\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}+\frac{\sqrt{d^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}+\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^3}\right)\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\sqrt{d^3}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}-\frac{\sqrt{d^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}-\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{d^3}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c^3}\right)\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\sqrt{d^3}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}}\right)\,\sqrt{d^3}\,\left(5\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^3}-\frac{\frac{\sqrt{d+e\,x}\,\left(-B\,b^3\,d\,e^3+2\,B\,b^2\,c\,d^2\,e^2+A\,b^2\,c\,d\,e^3-B\,b\,c^2\,d^3\,e-3\,A\,b\,c^2\,d^2\,e^2+2\,A\,c^3\,d^3\,e\right)}{b^2}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,b^3\,e^3-2\,B\,b^2\,c\,d\,e^2-A\,b^2\,c\,e^3+B\,b\,c^2\,d^2\,e+2\,A\,b\,c^2\,d\,e^2-2\,A\,c^3\,d^2\,e\right)}{b^2}}{\left(2\,c^3\,d-b\,c^2\,e\right)\,\left(d+e\,x\right)-c^3\,{\left(d+e\,x\right)}^2-c^3\,d^2+b\,c^2\,d\,e}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}+\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^8}\right)\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^5}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}-\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^8}\right)\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^5}}{\frac{2\,\left(5\,A^3\,b^6\,c^2\,d^2\,e^9+16\,A^3\,b^5\,c^3\,d^3\,e^8-41\,A^3\,b^4\,c^4\,d^4\,e^7-50\,A^3\,b^3\,c^5\,d^5\,e^6+166\,A^3\,b^2\,c^6\,d^6\,e^5-128\,A^3\,b\,c^7\,d^7\,e^4+32\,A^3\,c^8\,d^8\,e^3-30\,A^2\,B\,b^7\,c\,d^2\,e^9+6\,A^2\,B\,b^6\,c^2\,d^3\,e^8+249\,A^2\,B\,b^5\,c^3\,d^4\,e^7-420\,A^2\,B\,b^4\,c^4\,d^5\,e^6+171\,A^2\,B\,b^3\,c^5\,d^6\,e^5+72\,A^2\,B\,b^2\,c^6\,d^7\,e^4-48\,A^2\,B\,b\,c^7\,d^8\,e^3+45\,A\,B^2\,b^8\,d^2\,e^9-168\,A\,B^2\,b^7\,c\,d^3\,e^8+138\,A\,B^2\,b^6\,c^2\,d^4\,e^7+120\,A\,B^2\,b^5\,c^3\,d^5\,e^6-183\,A\,B^2\,b^4\,c^4\,d^6\,e^5+24\,A\,B^2\,b^3\,c^5\,d^7\,e^4+24\,A\,B^2\,b^2\,c^6\,d^8\,e^3+18\,B^3\,b^8\,d^3\,e^8-48\,B^3\,b^7\,c\,d^4\,e^7+20\,B^3\,b^6\,c^2\,d^5\,e^6+28\,B^3\,b^5\,c^3\,d^6\,e^5-14\,B^3\,b^4\,c^4\,d^7\,e^4-4\,B^3\,b^3\,c^5\,d^8\,e^3\right)}{b^6\,c^3}-\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}+\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}+\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^8}\right)\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^2\,e^8+4\,A^2\,b^5\,c^3\,d\,e^7-10\,A^2\,b^4\,c^4\,d^2\,e^6-20\,A^2\,b^3\,c^5\,d^3\,e^5+90\,A^2\,b^2\,c^6\,d^4\,e^4-96\,A^2\,b\,c^7\,d^5\,e^3+32\,A^2\,c^8\,d^6\,e^2-6\,A\,B\,b^7\,c\,e^8-4\,A\,B\,b^6\,c^2\,d\,e^7+60\,A\,B\,b^5\,c^3\,d^2\,e^6-80\,A\,B\,b^4\,c^4\,d^3\,e^5+10\,A\,B\,b^3\,c^5\,d^4\,e^4+56\,A\,B\,b^2\,c^6\,d^5\,e^3-32\,A\,B\,b\,c^7\,d^6\,e^2+9\,B^2\,b^8\,e^8-24\,B^2\,b^7\,c\,d\,e^7+10\,B^2\,b^6\,c^2\,d^2\,e^6+20\,B^2\,b^5\,c^3\,d^3\,e^5-15\,B^2\,b^4\,c^4\,d^4\,e^4-4\,B^2\,b^3\,c^5\,d^5\,e^3+8\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{b^4\,c^3}-\frac{\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{-12\,B\,b^9\,c^3\,d\,e^5+16\,B\,b^8\,c^4\,d^2\,e^4+4\,A\,b^8\,c^4\,d\,e^5-4\,B\,b^7\,c^5\,d^3\,e^3-12\,A\,b^7\,c^5\,d^2\,e^4+8\,A\,b^6\,c^6\,d^3\,e^3}{b^6\,c^3}-\frac{\left(4\,b^7\,c^5\,e^3-8\,b^6\,c^6\,d\,e^2\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^7\,c^8}\right)\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,b^3\,c^5}}\right)\,\sqrt{-c^5\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d-3\,B\,b^2\,e+A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^3\,c^5}","Not used",1,"(atan(((((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) + ((d^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) + ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^3))*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(d^3)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3) + (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) - ((d^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) - ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^3))*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(d^3)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3))/((2*(32*A^3*c^8*d^8*e^3 + 18*B^3*b^8*d^3*e^8 + 166*A^3*b^2*c^6*d^6*e^5 - 50*A^3*b^3*c^5*d^5*e^6 - 41*A^3*b^4*c^4*d^4*e^7 + 16*A^3*b^5*c^3*d^3*e^8 + 5*A^3*b^6*c^2*d^2*e^9 - 4*B^3*b^3*c^5*d^8*e^3 - 14*B^3*b^4*c^4*d^7*e^4 + 28*B^3*b^5*c^3*d^6*e^5 + 20*B^3*b^6*c^2*d^5*e^6 + 45*A*B^2*b^8*d^2*e^9 - 128*A^3*b*c^7*d^7*e^4 - 48*B^3*b^7*c*d^4*e^7 + 24*A*B^2*b^2*c^6*d^8*e^3 + 24*A*B^2*b^3*c^5*d^7*e^4 - 183*A*B^2*b^4*c^4*d^6*e^5 + 120*A*B^2*b^5*c^3*d^5*e^6 + 138*A*B^2*b^6*c^2*d^4*e^7 + 72*A^2*B*b^2*c^6*d^7*e^4 + 171*A^2*B*b^3*c^5*d^6*e^5 - 420*A^2*B*b^4*c^4*d^5*e^6 + 249*A^2*B*b^5*c^3*d^4*e^7 + 6*A^2*B*b^6*c^2*d^3*e^8 - 168*A*B^2*b^7*c*d^3*e^8 - 48*A^2*B*b*c^7*d^8*e^3 - 30*A^2*B*b^7*c*d^2*e^9))/(b^6*c^3) - (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) + ((d^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) + ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^3))*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(d^3)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) + (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) - ((d^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) - ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(d^3)^(1/2)*(d + e*x)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c^3))*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(d^3)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3)))*(d^3)^(1/2)*(5*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/b^3 - (((d + e*x)^(1/2)*(2*A*c^3*d^3*e - B*b^3*d*e^3 - 3*A*b*c^2*d^2*e^2 + 2*B*b^2*c*d^2*e^2 + A*b^2*c*d*e^3 - B*b*c^2*d^3*e))/b^2 + ((d + e*x)^(3/2)*(B*b^3*e^3 - A*b^2*c*e^3 - 2*A*c^3*d^2*e + 2*A*b*c^2*d*e^2 + B*b*c^2*d^2*e - 2*B*b^2*c*d*e^2))/b^2)/((2*c^3*d - b*c^2*e)*(d + e*x) - c^3*(d + e*x)^2 - c^3*d^2 + b*c^2*d*e) + (2*B*e^2*(d + e*x)^(1/2))/c^2 + (atan(((((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) + ((-c^5*(b*e - c*d)^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) + ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(b^7*c^8))*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5))*(-c^5*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d)*1i)/(2*b^3*c^5) + (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) - ((-c^5*(b*e - c*d)^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) - ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(b^7*c^8))*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5))*(-c^5*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d)*1i)/(2*b^3*c^5))/((2*(32*A^3*c^8*d^8*e^3 + 18*B^3*b^8*d^3*e^8 + 166*A^3*b^2*c^6*d^6*e^5 - 50*A^3*b^3*c^5*d^5*e^6 - 41*A^3*b^4*c^4*d^4*e^7 + 16*A^3*b^5*c^3*d^3*e^8 + 5*A^3*b^6*c^2*d^2*e^9 - 4*B^3*b^3*c^5*d^8*e^3 - 14*B^3*b^4*c^4*d^7*e^4 + 28*B^3*b^5*c^3*d^6*e^5 + 20*B^3*b^6*c^2*d^5*e^6 + 45*A*B^2*b^8*d^2*e^9 - 128*A^3*b*c^7*d^7*e^4 - 48*B^3*b^7*c*d^4*e^7 + 24*A*B^2*b^2*c^6*d^8*e^3 + 24*A*B^2*b^3*c^5*d^7*e^4 - 183*A*B^2*b^4*c^4*d^6*e^5 + 120*A*B^2*b^5*c^3*d^5*e^6 + 138*A*B^2*b^6*c^2*d^4*e^7 + 72*A^2*B*b^2*c^6*d^7*e^4 + 171*A^2*B*b^3*c^5*d^6*e^5 - 420*A^2*B*b^4*c^4*d^5*e^6 + 249*A^2*B*b^5*c^3*d^4*e^7 + 6*A^2*B*b^6*c^2*d^3*e^8 - 168*A*B^2*b^7*c*d^3*e^8 - 48*A^2*B*b*c^7*d^8*e^3 - 30*A^2*B*b^7*c*d^2*e^9))/(b^6*c^3) - (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) + ((-c^5*(b*e - c*d)^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) + ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(b^7*c^8))*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5))*(-c^5*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5) + (((2*(d + e*x)^(1/2)*(9*B^2*b^8*e^8 + A^2*b^6*c^2*e^8 + 32*A^2*c^8*d^6*e^2 + 90*A^2*b^2*c^6*d^4*e^4 - 20*A^2*b^3*c^5*d^3*e^5 - 10*A^2*b^4*c^4*d^2*e^6 + 8*B^2*b^2*c^6*d^6*e^2 - 4*B^2*b^3*c^5*d^5*e^3 - 15*B^2*b^4*c^4*d^4*e^4 + 20*B^2*b^5*c^3*d^3*e^5 + 10*B^2*b^6*c^2*d^2*e^6 - 24*B^2*b^7*c*d*e^7 - 96*A^2*b*c^7*d^5*e^3 + 4*A^2*b^5*c^3*d*e^7 - 6*A*B*b^7*c*e^8 - 32*A*B*b*c^7*d^6*e^2 - 4*A*B*b^6*c^2*d*e^7 + 56*A*B*b^2*c^6*d^5*e^3 + 10*A*B*b^3*c^5*d^4*e^4 - 80*A*B*b^4*c^4*d^3*e^5 + 60*A*B*b^5*c^3*d^2*e^6))/(b^4*c^3) - ((-c^5*(b*e - c*d)^3)^(1/2)*((4*A*b^8*c^4*d*e^5 - 12*B*b^9*c^3*d*e^5 + 8*A*b^6*c^6*d^3*e^3 - 12*A*b^7*c^5*d^2*e^4 - 4*B*b^7*c^5*d^3*e^3 + 16*B*b^8*c^4*d^2*e^4)/(b^6*c^3) - ((4*b^7*c^5*e^3 - 8*b^6*c^6*d*e^2)*(-c^5*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(b^7*c^8))*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5))*(-c^5*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d))/(2*b^3*c^5)))*(-c^5*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d - 3*B*b^2*e + A*b*c*e - 2*B*b*c*d)*1i)/(b^3*c^5)","B"
1241,1,4391,181,2.607543,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^2,x)","-\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,b^2\,e^2-A\,b\,c\,e^2-B\,d\,b\,c\,e+2\,A\,d\,c^2\,e\right)}{b^2\,c}-\frac{\sqrt{d+e\,x}\,\left(B\,b^2\,d\,e^2-B\,b\,c\,d^2\,e-2\,A\,b\,c\,d\,e^2+2\,A\,c^2\,d^2\,e\right)}{b^2\,c}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+c\,d^2-b\,d\,e}+\frac{\sqrt{d}\,\mathrm{atan}\left(\frac{\frac{\sqrt{d}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}+\frac{\sqrt{d}\,\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}+\frac{\sqrt{d}\,\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}+\frac{\sqrt{d}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}-\frac{\sqrt{d}\,\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}-\frac{\sqrt{d}\,\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3}}{\frac{2\,\left(3\,A^3\,b^4\,c^2\,d\,e^7-25\,A^3\,b^3\,c^3\,d^2\,e^6+70\,A^3\,b^2\,c^4\,d^3\,e^5-80\,A^3\,b\,c^5\,d^4\,e^4+32\,A^3\,c^6\,d^5\,e^3+6\,A^2\,B\,b^5\,c\,d\,e^7-21\,A^2\,B\,b^4\,c^2\,d^2\,e^6-9\,A^2\,B\,b^3\,c^3\,d^3\,e^5+72\,A^2\,B\,b^2\,c^4\,d^4\,e^4-48\,A^2\,B\,b\,c^5\,d^5\,e^3+3\,A\,B^2\,b^6\,d\,e^7+6\,A\,B^2\,b^5\,c\,d^2\,e^6-21\,A\,B^2\,b^4\,c^2\,d^3\,e^5-12\,A\,B^2\,b^3\,c^3\,d^4\,e^4+24\,A\,B^2\,b^2\,c^4\,d^5\,e^3+2\,B^3\,b^6\,d^2\,e^6+4\,B^3\,b^5\,c\,d^3\,e^5-2\,B^3\,b^4\,c^2\,d^4\,e^4-4\,B^3\,b^3\,c^3\,d^5\,e^3\right)}{b^6\,c}+\frac{\sqrt{d}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}+\frac{\sqrt{d}\,\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}+\frac{\sqrt{d}\,\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}-\frac{\sqrt{d}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}-\frac{\sqrt{d}\,\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}-\frac{\sqrt{d}\,\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^7\,c}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{2\,b^3}}\right)\,\left(3\,A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^3}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}+\frac{\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}+\frac{\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{b^7\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}\right)\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^3}+\frac{\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}-\frac{\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}-\frac{\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{b^7\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}\right)\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,b^3\,c^3}}{\frac{2\,\left(3\,A^3\,b^4\,c^2\,d\,e^7-25\,A^3\,b^3\,c^3\,d^2\,e^6+70\,A^3\,b^2\,c^4\,d^3\,e^5-80\,A^3\,b\,c^5\,d^4\,e^4+32\,A^3\,c^6\,d^5\,e^3+6\,A^2\,B\,b^5\,c\,d\,e^7-21\,A^2\,B\,b^4\,c^2\,d^2\,e^6-9\,A^2\,B\,b^3\,c^3\,d^3\,e^5+72\,A^2\,B\,b^2\,c^4\,d^4\,e^4-48\,A^2\,B\,b\,c^5\,d^5\,e^3+3\,A\,B^2\,b^6\,d\,e^7+6\,A\,B^2\,b^5\,c\,d^2\,e^6-21\,A\,B^2\,b^4\,c^2\,d^3\,e^5-12\,A\,B^2\,b^3\,c^3\,d^4\,e^4+24\,A\,B^2\,b^2\,c^4\,d^5\,e^3+2\,B^3\,b^6\,d^2\,e^6+4\,B^3\,b^5\,c\,d^3\,e^5-2\,B^3\,b^4\,c^2\,d^4\,e^4-4\,B^3\,b^3\,c^3\,d^5\,e^3\right)}{b^6\,c}+\frac{\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}+\frac{\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}+\frac{\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{b^7\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}\right)\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}-\frac{\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^2\,e^6-10\,A^2\,b^3\,c^3\,d\,e^5+42\,A^2\,b^2\,c^4\,d^2\,e^4-64\,A^2\,b\,c^5\,d^3\,e^3+32\,A^2\,c^6\,d^4\,e^2+2\,A\,B\,b^5\,c\,e^6-8\,A\,B\,b^4\,c^2\,d\,e^5-6\,A\,B\,b^3\,c^3\,d^2\,e^4+40\,A\,B\,b^2\,c^4\,d^3\,e^3-32\,A\,B\,b\,c^5\,d^4\,e^2+B^2\,b^6\,e^6+2\,B^2\,b^5\,c\,d\,e^5-3\,B^2\,b^4\,c^2\,d^2\,e^4-4\,B^2\,b^3\,c^3\,d^3\,e^3+8\,B^2\,b^2\,c^4\,d^4\,e^2\right)}{b^4\,c}-\frac{\left(\frac{-4\,B\,b^8\,c^2\,d\,e^4+4\,B\,b^7\,c^3\,d^2\,e^3+8\,A\,b^7\,c^3\,d\,e^4-8\,A\,b^6\,c^4\,d^2\,e^3}{b^6\,c}-\frac{\left(4\,b^7\,c^3\,e^3-8\,b^6\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{b^7\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}\right)\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)}{2\,b^3\,c^3}}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^2\,e-4\,A\,c^2\,d+A\,b\,c\,e+2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^3\,c^3}","Not used",1,"(d^(1/2)*atan(((d^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) + (d^(1/2)*((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) + (d^(1/2)*(4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(d + e*x)^(1/2)*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(3*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3) + (d^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) - (d^(1/2)*((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) - (d^(1/2)*(4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(d + e*x)^(1/2)*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(3*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/(2*b^3))/((2*(32*A^3*c^6*d^5*e^3 + 2*B^3*b^6*d^2*e^6 + 70*A^3*b^2*c^4*d^3*e^5 - 25*A^3*b^3*c^3*d^2*e^6 - 4*B^3*b^3*c^3*d^5*e^3 - 2*B^3*b^4*c^2*d^4*e^4 + 3*A*B^2*b^6*d*e^7 - 80*A^3*b*c^5*d^4*e^4 + 3*A^3*b^4*c^2*d*e^7 + 4*B^3*b^5*c*d^3*e^5 + 24*A*B^2*b^2*c^4*d^5*e^3 - 12*A*B^2*b^3*c^3*d^4*e^4 - 21*A*B^2*b^4*c^2*d^3*e^5 + 72*A^2*B*b^2*c^4*d^4*e^4 - 9*A^2*B*b^3*c^3*d^3*e^5 - 21*A^2*B*b^4*c^2*d^2*e^6 + 6*A^2*B*b^5*c*d*e^7 + 6*A*B^2*b^5*c*d^2*e^6 - 48*A^2*B*b*c^5*d^5*e^3))/(b^6*c) + (d^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) + (d^(1/2)*((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) + (d^(1/2)*(4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(d + e*x)^(1/2)*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3) - (d^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) - (d^(1/2)*((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) - (d^(1/2)*(4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(d + e*x)^(1/2)*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(b^7*c))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3))*(3*A*b*e - 4*A*c*d + 2*B*b*d))/(2*b^3)))*(3*A*b*e - 4*A*c*d + 2*B*b*d)*1i)/b^3 - (((d + e*x)^(3/2)*(B*b^2*e^2 - A*b*c*e^2 + 2*A*c^2*d*e - B*b*c*d*e))/(b^2*c) - ((d + e*x)^(1/2)*(2*A*c^2*d^2*e + B*b^2*d*e^2 - 2*A*b*c*d*e^2 - B*b*c*d^2*e))/(b^2*c))/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + c*d^2 - b*d*e) + (atan((((-c^3*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) + (((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) + ((4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(b^7*c^4))*(-c^3*(b*e - c*d))^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3))*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d)*1i)/(2*b^3*c^3) + ((-c^3*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) - (((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) - ((4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(b^7*c^4))*(-c^3*(b*e - c*d))^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3))*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d)*1i)/(2*b^3*c^3))/((2*(32*A^3*c^6*d^5*e^3 + 2*B^3*b^6*d^2*e^6 + 70*A^3*b^2*c^4*d^3*e^5 - 25*A^3*b^3*c^3*d^2*e^6 - 4*B^3*b^3*c^3*d^5*e^3 - 2*B^3*b^4*c^2*d^4*e^4 + 3*A*B^2*b^6*d*e^7 - 80*A^3*b*c^5*d^4*e^4 + 3*A^3*b^4*c^2*d*e^7 + 4*B^3*b^5*c*d^3*e^5 + 24*A*B^2*b^2*c^4*d^5*e^3 - 12*A*B^2*b^3*c^3*d^4*e^4 - 21*A*B^2*b^4*c^2*d^3*e^5 + 72*A^2*B*b^2*c^4*d^4*e^4 - 9*A^2*B*b^3*c^3*d^3*e^5 - 21*A^2*B*b^4*c^2*d^2*e^6 + 6*A^2*B*b^5*c*d*e^7 + 6*A*B^2*b^5*c*d^2*e^6 - 48*A^2*B*b*c^5*d^5*e^3))/(b^6*c) + ((-c^3*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) + (((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) + ((4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(b^7*c^4))*(-c^3*(b*e - c*d))^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3))*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3) - ((-c^3*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(B^2*b^6*e^6 + A^2*b^4*c^2*e^6 + 32*A^2*c^6*d^4*e^2 + 42*A^2*b^2*c^4*d^2*e^4 + 8*B^2*b^2*c^4*d^4*e^2 - 4*B^2*b^3*c^3*d^3*e^3 - 3*B^2*b^4*c^2*d^2*e^4 + 2*B^2*b^5*c*d*e^5 - 64*A^2*b*c^5*d^3*e^3 - 10*A^2*b^3*c^3*d*e^5 + 2*A*B*b^5*c*e^6 - 32*A*B*b*c^5*d^4*e^2 - 8*A*B*b^4*c^2*d*e^5 + 40*A*B*b^2*c^4*d^3*e^3 - 6*A*B*b^3*c^3*d^2*e^4))/(b^4*c) - (((8*A*b^7*c^3*d*e^4 - 4*B*b^8*c^2*d*e^4 - 8*A*b^6*c^4*d^2*e^3 + 4*B*b^7*c^3*d^2*e^3)/(b^6*c) - ((4*b^7*c^3*e^3 - 8*b^6*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(b^7*c^4))*(-c^3*(b*e - c*d))^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3))*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d))/(2*b^3*c^3)))*(-c^3*(b*e - c*d))^(1/2)*(B*b^2*e - 4*A*c^2*d + A*b*c*e + 2*B*b*c*d)*1i)/(b^3*c^3)","B"
1242,1,2558,158,2.561181,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^2,x)","-\frac{\frac{\sqrt{d+e\,x}\,\left(A\,b\,e^2-2\,A\,c\,d\,e+B\,b\,d\,e\right)}{b^2}+\frac{\left(2\,A\,c\,e-B\,b\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{b^2}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+c\,d^2-b\,d\,e}-\frac{\mathrm{atanh}\left(\frac{4\,B^3\,c\,\sqrt{d}\,e^4\,\sqrt{d+e\,x}}{2\,A\,B^2\,c\,e^5-\frac{8\,A^3\,c^3\,e^5}{b^2}+4\,B^3\,c\,d\,e^4+\frac{2\,A^3\,c^2\,e^6}{b\,d}-\frac{16\,A\,B^2\,c^2\,d\,e^4}{b}+\frac{16\,A^2\,B\,c^3\,d\,e^4}{b^2}}+\frac{2\,A^3\,c^2\,e^6\,\sqrt{d+e\,x}}{d^{3/2}\,\left(\frac{2\,A^3\,c^2\,e^6}{d}-\frac{8\,A^3\,c^3\,e^5}{b}-16\,A\,B^2\,c^2\,d\,e^4+2\,A\,B^2\,b\,c\,e^5+4\,B^3\,b\,c\,d\,e^4+\frac{16\,A^2\,B\,c^3\,d\,e^4}{b}\right)}-\frac{8\,A^3\,c^3\,e^5\,\sqrt{d+e\,x}}{\sqrt{d}\,\left(2\,A\,B^2\,b^2\,c\,e^5-8\,A^3\,c^3\,e^5+16\,A^2\,B\,c^3\,d\,e^4+4\,B^3\,b^2\,c\,d\,e^4+\frac{2\,A^3\,b\,c^2\,e^6}{d}-16\,A\,B^2\,b\,c^2\,d\,e^4\right)}-\frac{16\,A\,B^2\,c^2\,\sqrt{d}\,e^4\,\sqrt{d+e\,x}}{\frac{2\,A^3\,c^2\,e^6}{d}-\frac{8\,A^3\,c^3\,e^5}{b}-16\,A\,B^2\,c^2\,d\,e^4+2\,A\,B^2\,b\,c\,e^5+4\,B^3\,b\,c\,d\,e^4+\frac{16\,A^2\,B\,c^3\,d\,e^4}{b}}+\frac{16\,A^2\,B\,c^3\,\sqrt{d}\,e^4\,\sqrt{d+e\,x}}{2\,A\,B^2\,b^2\,c\,e^5-8\,A^3\,c^3\,e^5+16\,A^2\,B\,c^3\,d\,e^4+4\,B^3\,b^2\,c\,d\,e^4+\frac{2\,A^3\,b\,c^2\,e^6}{d}-16\,A\,B^2\,b\,c^2\,d\,e^4}+\frac{2\,A\,B^2\,c\,e^5\,\sqrt{d+e\,x}}{\sqrt{d}\,\left(2\,A\,B^2\,c\,e^5-\frac{8\,A^3\,c^3\,e^5}{b^2}+4\,B^3\,c\,d\,e^4+\frac{2\,A^3\,c^2\,e^6}{b\,d}-\frac{16\,A\,B^2\,c^2\,d\,e^4}{b}+\frac{16\,A^2\,B\,c^3\,d\,e^4}{b^2}\right)}\right)\,\left(A\,b\,e-4\,A\,c\,d+2\,B\,b\,d\right)}{b^3\,\sqrt{d}}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(10\,A^2\,b^2\,c^3\,e^4-32\,A^2\,b\,c^4\,d\,e^3+32\,A^2\,c^5\,d^2\,e^2-6\,A\,B\,b^3\,c^2\,e^4+24\,A\,B\,b^2\,c^3\,d\,e^3-32\,A\,B\,b\,c^4\,d^2\,e^2+B^2\,b^4\,c\,e^4-4\,B^2\,b^3\,c^2\,d\,e^3+8\,B^2\,b^2\,c^3\,d^2\,e^2\right)}{b^4}+\frac{\left(\frac{4\,A\,b^7\,c^2\,e^4+4\,B\,d\,b^7\,c^2\,e^3-8\,A\,d\,b^6\,c^3\,e^3}{b^6}+\frac{\left(4\,b^7\,c^2\,e^3-8\,b^6\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^4\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}+\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(10\,A^2\,b^2\,c^3\,e^4-32\,A^2\,b\,c^4\,d\,e^3+32\,A^2\,c^5\,d^2\,e^2-6\,A\,B\,b^3\,c^2\,e^4+24\,A\,B\,b^2\,c^3\,d\,e^3-32\,A\,B\,b\,c^4\,d^2\,e^2+B^2\,b^4\,c\,e^4-4\,B^2\,b^3\,c^2\,d\,e^3+8\,B^2\,b^2\,c^3\,d^2\,e^2\right)}{b^4}-\frac{\left(\frac{4\,A\,b^7\,c^2\,e^4+4\,B\,d\,b^7\,c^2\,e^3-8\,A\,d\,b^6\,c^3\,e^3}{b^6}-\frac{\left(4\,b^7\,c^2\,e^3-8\,b^6\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^4\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}}{\frac{2\,\left(6\,A^3\,b^2\,c^3\,e^5-32\,A^3\,b\,c^4\,d\,e^4+32\,A^3\,c^5\,d^2\,e^3-5\,A^2\,B\,b^3\,c^2\,e^5+40\,A^2\,B\,b^2\,c^3\,d\,e^4-48\,A^2\,B\,b\,c^4\,d^2\,e^3+A\,B^2\,b^4\,c\,e^5-16\,A\,B^2\,b^3\,c^2\,d\,e^4+24\,A\,B^2\,b^2\,c^3\,d^2\,e^3+2\,B^3\,b^4\,c\,d\,e^4-4\,B^3\,b^3\,c^2\,d^2\,e^3\right)}{b^6}+\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(10\,A^2\,b^2\,c^3\,e^4-32\,A^2\,b\,c^4\,d\,e^3+32\,A^2\,c^5\,d^2\,e^2-6\,A\,B\,b^3\,c^2\,e^4+24\,A\,B\,b^2\,c^3\,d\,e^3-32\,A\,B\,b\,c^4\,d^2\,e^2+B^2\,b^4\,c\,e^4-4\,B^2\,b^3\,c^2\,d\,e^3+8\,B^2\,b^2\,c^3\,d^2\,e^2\right)}{b^4}+\frac{\left(\frac{4\,A\,b^7\,c^2\,e^4+4\,B\,d\,b^7\,c^2\,e^3-8\,A\,d\,b^6\,c^3\,e^3}{b^6}+\frac{\left(4\,b^7\,c^2\,e^3-8\,b^6\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^4\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}-\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{2\,\sqrt{d+e\,x}\,\left(10\,A^2\,b^2\,c^3\,e^4-32\,A^2\,b\,c^4\,d\,e^3+32\,A^2\,c^5\,d^2\,e^2-6\,A\,B\,b^3\,c^2\,e^4+24\,A\,B\,b^2\,c^3\,d\,e^3-32\,A\,B\,b\,c^4\,d^2\,e^2+B^2\,b^4\,c\,e^4-4\,B^2\,b^3\,c^2\,d\,e^3+8\,B^2\,b^2\,c^3\,d^2\,e^2\right)}{b^4}-\frac{\left(\frac{4\,A\,b^7\,c^2\,e^4+4\,B\,d\,b^7\,c^2\,e^3-8\,A\,d\,b^6\,c^3\,e^3}{b^6}-\frac{\left(4\,b^7\,c^2\,e^3-8\,b^6\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{b^4\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}\right)\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^3\,c^2\,d-b^4\,c\,e\right)}}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(4\,A\,c^2\,d+B\,b^2\,e-3\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^3\,c^2\,d-b^4\,c\,e}","Not used",1,"(atan((((-c*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(10*A^2*b^2*c^3*e^4 + 32*A^2*c^5*d^2*e^2 + B^2*b^4*c*e^4 + 8*B^2*b^2*c^3*d^2*e^2 - 6*A*B*b^3*c^2*e^4 - 32*A^2*b*c^4*d*e^3 - 4*B^2*b^3*c^2*d*e^3 - 32*A*B*b*c^4*d^2*e^2 + 24*A*B*b^2*c^3*d*e^3))/b^4 + (((4*A*b^7*c^2*e^4 - 8*A*b^6*c^3*d*e^3 + 4*B*b^7*c^2*d*e^3)/b^6 + ((4*b^7*c^2*e^3 - 8*b^6*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(b^4*(b^3*c^2*d - b^4*c*e)))*(-c*(b*e - c*d))^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e)))*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^3*c^2*d - b^4*c*e)) + ((-c*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(10*A^2*b^2*c^3*e^4 + 32*A^2*c^5*d^2*e^2 + B^2*b^4*c*e^4 + 8*B^2*b^2*c^3*d^2*e^2 - 6*A*B*b^3*c^2*e^4 - 32*A^2*b*c^4*d*e^3 - 4*B^2*b^3*c^2*d*e^3 - 32*A*B*b*c^4*d^2*e^2 + 24*A*B*b^2*c^3*d*e^3))/b^4 - (((4*A*b^7*c^2*e^4 - 8*A*b^6*c^3*d*e^3 + 4*B*b^7*c^2*d*e^3)/b^6 - ((4*b^7*c^2*e^3 - 8*b^6*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(b^4*(b^3*c^2*d - b^4*c*e)))*(-c*(b*e - c*d))^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e)))*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^3*c^2*d - b^4*c*e)))/((2*(6*A^3*b^2*c^3*e^5 + 32*A^3*c^5*d^2*e^3 - 4*B^3*b^3*c^2*d^2*e^3 + A*B^2*b^4*c*e^5 - 32*A^3*b*c^4*d*e^4 + 2*B^3*b^4*c*d*e^4 - 5*A^2*B*b^3*c^2*e^5 + 24*A*B^2*b^2*c^3*d^2*e^3 - 16*A*B^2*b^3*c^2*d*e^4 - 48*A^2*B*b*c^4*d^2*e^3 + 40*A^2*B*b^2*c^3*d*e^4))/b^6 + ((-c*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(10*A^2*b^2*c^3*e^4 + 32*A^2*c^5*d^2*e^2 + B^2*b^4*c*e^4 + 8*B^2*b^2*c^3*d^2*e^2 - 6*A*B*b^3*c^2*e^4 - 32*A^2*b*c^4*d*e^3 - 4*B^2*b^3*c^2*d*e^3 - 32*A*B*b*c^4*d^2*e^2 + 24*A*B*b^2*c^3*d*e^3))/b^4 + (((4*A*b^7*c^2*e^4 - 8*A*b^6*c^3*d*e^3 + 4*B*b^7*c^2*d*e^3)/b^6 + ((4*b^7*c^2*e^3 - 8*b^6*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(b^4*(b^3*c^2*d - b^4*c*e)))*(-c*(b*e - c*d))^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e)))*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e)) - ((-c*(b*e - c*d))^(1/2)*((2*(d + e*x)^(1/2)*(10*A^2*b^2*c^3*e^4 + 32*A^2*c^5*d^2*e^2 + B^2*b^4*c*e^4 + 8*B^2*b^2*c^3*d^2*e^2 - 6*A*B*b^3*c^2*e^4 - 32*A^2*b*c^4*d*e^3 - 4*B^2*b^3*c^2*d*e^3 - 32*A*B*b*c^4*d^2*e^2 + 24*A*B*b^2*c^3*d*e^3))/b^4 - (((4*A*b^7*c^2*e^4 - 8*A*b^6*c^3*d*e^3 + 4*B*b^7*c^2*d*e^3)/b^6 - ((4*b^7*c^2*e^3 - 8*b^6*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(b^4*(b^3*c^2*d - b^4*c*e)))*(-c*(b*e - c*d))^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e)))*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d))/(2*(b^3*c^2*d - b^4*c*e))))*(-c*(b*e - c*d))^(1/2)*(4*A*c^2*d + B*b^2*e - 3*A*b*c*e - 2*B*b*c*d)*1i)/(b^3*c^2*d - b^4*c*e) - (((d + e*x)^(1/2)*(A*b*e^2 - 2*A*c*d*e + B*b*d*e))/b^2 + ((2*A*c*e - B*b*e)*(d + e*x)^(3/2))/b^2)/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + c*d^2 - b*d*e) - (atanh((4*B^3*c*d^(1/2)*e^4*(d + e*x)^(1/2))/(2*A*B^2*c*e^5 - (8*A^3*c^3*e^5)/b^2 + 4*B^3*c*d*e^4 + (2*A^3*c^2*e^6)/(b*d) - (16*A*B^2*c^2*d*e^4)/b + (16*A^2*B*c^3*d*e^4)/b^2) + (2*A^3*c^2*e^6*(d + e*x)^(1/2))/(d^(3/2)*((2*A^3*c^2*e^6)/d - (8*A^3*c^3*e^5)/b - 16*A*B^2*c^2*d*e^4 + 2*A*B^2*b*c*e^5 + 4*B^3*b*c*d*e^4 + (16*A^2*B*c^3*d*e^4)/b)) - (8*A^3*c^3*e^5*(d + e*x)^(1/2))/(d^(1/2)*(2*A*B^2*b^2*c*e^5 - 8*A^3*c^3*e^5 + 16*A^2*B*c^3*d*e^4 + 4*B^3*b^2*c*d*e^4 + (2*A^3*b*c^2*e^6)/d - 16*A*B^2*b*c^2*d*e^4)) - (16*A*B^2*c^2*d^(1/2)*e^4*(d + e*x)^(1/2))/((2*A^3*c^2*e^6)/d - (8*A^3*c^3*e^5)/b - 16*A*B^2*c^2*d*e^4 + 2*A*B^2*b*c*e^5 + 4*B^3*b*c*d*e^4 + (16*A^2*B*c^3*d*e^4)/b) + (16*A^2*B*c^3*d^(1/2)*e^4*(d + e*x)^(1/2))/(2*A*B^2*b^2*c*e^5 - 8*A^3*c^3*e^5 + 16*A^2*B*c^3*d*e^4 + 4*B^3*b^2*c*d*e^4 + (2*A^3*b*c^2*e^6)/d - 16*A*B^2*b*c^2*d*e^4) + (2*A*B^2*c*e^5*(d + e*x)^(1/2))/(d^(1/2)*(2*A*B^2*c*e^5 - (8*A^3*c^3*e^5)/b^2 + 4*B^3*c*d*e^4 + (2*A^3*c^2*e^6)/(b*d) - (16*A*B^2*c^2*d*e^4)/b + (16*A^2*B*c^3*d*e^4)/b^2)))*(A*b*e - 4*A*c*d + 2*B*b*d))/(b^3*d^(1/2))","B"
1243,1,5828,188,4.278387,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^(1/2)),x)","\frac{\frac{\sqrt{d+e\,x}\,\left(A\,b^2\,e^3-B\,b\,c\,d^2\,e-2\,A\,b\,c\,d\,e^2+2\,A\,c^2\,d^2\,e\right)}{b^2\,\left(c\,d^2-b\,d\,e\right)}+\frac{c\,{\left(d+e\,x\right)}^{3/2}\,\left(A\,b\,e^2-2\,A\,c\,d\,e+B\,b\,d\,e\right)}{b^2\,\left(c\,d^2-b\,d\,e\right)}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+c\,d^2-b\,d\,e}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}-\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}+\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}-\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}}{\frac{2\,\left(5\,A^3\,b^3\,c^4\,e^6+6\,A^3\,b^2\,c^5\,d\,e^5-48\,A^3\,b\,c^6\,d^2\,e^4+32\,A^3\,c^7\,d^3\,e^3-3\,A^2\,B\,b^4\,c^3\,e^6-9\,A^2\,B\,b^3\,c^4\,d\,e^5+72\,A^2\,B\,b^2\,c^5\,d^2\,e^4-48\,A^2\,B\,b\,c^6\,d^3\,e^3+3\,A\,B^2\,b^4\,c^3\,d\,e^5-36\,A\,B^2\,b^3\,c^4\,d^2\,e^4+24\,A\,B^2\,b^2\,c^5\,d^3\,e^3+6\,B^3\,b^4\,c^3\,d^2\,e^4-4\,B^3\,b^3\,c^4\,d^3\,e^3\right)}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}-\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}-\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}+\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}-\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3\right)}}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(4\,A\,c^2\,d+3\,B\,b^2\,e-5\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^6\,e^3-3\,b^5\,c\,d\,e^2+3\,b^4\,c^2\,d^2\,e-b^3\,c^3\,d^3}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}-\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\sqrt{d+e\,x}\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)}{b^3\,\sqrt{d^3}\,\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3\,\sqrt{d^3}}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}+\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}-\frac{\sqrt{d+e\,x}\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)}{b^3\,\sqrt{d^3}\,\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,1{}\mathrm{i}}{2\,b^3\,\sqrt{d^3}}}{\frac{2\,\left(5\,A^3\,b^3\,c^4\,e^6+6\,A^3\,b^2\,c^5\,d\,e^5-48\,A^3\,b\,c^6\,d^2\,e^4+32\,A^3\,c^7\,d^3\,e^3-3\,A^2\,B\,b^4\,c^3\,e^6-9\,A^2\,B\,b^3\,c^4\,d\,e^5+72\,A^2\,B\,b^2\,c^5\,d^2\,e^4-48\,A^2\,B\,b\,c^6\,d^3\,e^3+3\,A\,B^2\,b^4\,c^3\,d\,e^5-36\,A\,B^2\,b^3\,c^4\,d^2\,e^4+24\,A\,B^2\,b^2\,c^5\,d^3\,e^3+6\,B^3\,b^4\,c^3\,d^2\,e^4-4\,B^3\,b^3\,c^4\,d^3\,e^3\right)}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}-\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}+\frac{\sqrt{d+e\,x}\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)}{b^3\,\sqrt{d^3}\,\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}-\frac{\left(\frac{2\,\sqrt{d+e\,x}\,\left(A^2\,b^4\,c^3\,e^6+6\,A^2\,b^3\,c^4\,d\,e^5+26\,A^2\,b^2\,c^5\,d^2\,e^4-64\,A^2\,b\,c^6\,d^3\,e^3+32\,A^2\,c^7\,d^4\,e^2-4\,A\,B\,b^4\,c^3\,d\,e^5-38\,A\,B\,b^3\,c^4\,d^2\,e^4+72\,A\,B\,b^2\,c^5\,d^3\,e^3-32\,A\,B\,b\,c^6\,d^4\,e^2+13\,B^2\,b^4\,c^3\,d^2\,e^4-20\,B^2\,b^3\,c^4\,d^3\,e^3+8\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}+\frac{\left(\frac{-8\,B\,b^9\,c^2\,d^2\,e^5+4\,A\,b^9\,c^2\,d\,e^6+12\,B\,b^8\,c^3\,d^3\,e^4+4\,A\,b^8\,c^3\,d^2\,e^5-4\,B\,b^7\,c^4\,d^4\,e^3-16\,A\,b^7\,c^4\,d^3\,e^4+8\,A\,b^6\,c^5\,d^4\,e^3}{b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4}-\frac{\sqrt{d+e\,x}\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,\left(-4\,b^9\,c^2\,d^2\,e^5+16\,b^8\,c^3\,d^3\,e^4-20\,b^7\,c^4\,d^4\,e^3+8\,b^6\,c^5\,d^5\,e^2\right)}{b^3\,\sqrt{d^3}\,\left(b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)}{2\,b^3\,\sqrt{d^3}}}\right)\,\left(A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^3\,\sqrt{d^3}}","Not used",1,"(((d + e*x)^(1/2)*(A*b^2*e^3 + 2*A*c^2*d^2*e - 2*A*b*c*d*e^2 - B*b*c*d^2*e))/(b^2*(c*d^2 - b*d*e)) + (c*(d + e*x)^(3/2)*(A*b*e^2 - 2*A*c*d*e + B*b*d*e))/(b^2*(c*d^2 - b*d*e)))/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + c*d^2 - b*d*e) + (atan(((((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) - (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/((b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)) + (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) + (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) - ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/((b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))/((2*(5*A^3*b^3*c^4*e^6 + 32*A^3*c^7*d^3*e^3 - 4*B^3*b^3*c^4*d^3*e^3 + 6*B^3*b^4*c^3*d^2*e^4 - 3*A^2*B*b^4*c^3*e^6 - 48*A^3*b*c^6*d^2*e^4 + 6*A^3*b^2*c^5*d*e^5 + 24*A*B^2*b^2*c^5*d^3*e^3 - 36*A*B^2*b^3*c^4*d^2*e^4 + 72*A^2*B*b^2*c^5*d^2*e^4 + 3*A*B^2*b^4*c^3*d*e^5 - 48*A^2*B*b*c^6*d^3*e^3 - 9*A^2*B*b^3*c^4*d*e^5))/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) - (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/((b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)) - (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) + (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) - ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/((b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d))/(2*(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2))))*(-c*(b*e - c*d)^3)^(1/2)*(4*A*c^2*d + 3*B*b^2*e - 5*A*b*c*e - 2*B*b*c*d)*1i)/(b^6*e^3 - b^3*c^3*d^3 + 3*b^4*c^2*d^2*e - 3*b^5*c*d*e^2) + (atan(((((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) - (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + ((d + e*x)^(1/2)*(A*b*e + 4*A*c*d - 2*B*b*d)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5))/(b^3*(d^3)^(1/2)*(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2)))*(A*b*e + 4*A*c*d - 2*B*b*d)*1i)/(2*b^3*(d^3)^(1/2)) + (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) + (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) - ((d + e*x)^(1/2)*(A*b*e + 4*A*c*d - 2*B*b*d)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5))/(b^3*(d^3)^(1/2)*(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2)))*(A*b*e + 4*A*c*d - 2*B*b*d)*1i)/(2*b^3*(d^3)^(1/2)))/((2*(5*A^3*b^3*c^4*e^6 + 32*A^3*c^7*d^3*e^3 - 4*B^3*b^3*c^4*d^3*e^3 + 6*B^3*b^4*c^3*d^2*e^4 - 3*A^2*B*b^4*c^3*e^6 - 48*A^3*b*c^6*d^2*e^4 + 6*A^3*b^2*c^5*d*e^5 + 24*A*B^2*b^2*c^5*d^3*e^3 - 36*A*B^2*b^3*c^4*d^2*e^4 + 72*A^2*B*b^2*c^5*d^2*e^4 + 3*A*B^2*b^4*c^3*d*e^5 - 48*A^2*B*b*c^6*d^3*e^3 - 9*A^2*B*b^3*c^4*d*e^5))/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) - (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) + ((d + e*x)^(1/2)*(A*b*e + 4*A*c*d - 2*B*b*d)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5))/(b^3*(d^3)^(1/2)*(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2)) - (((2*(d + e*x)^(1/2)*(A^2*b^4*c^3*e^6 + 32*A^2*c^7*d^4*e^2 + 26*A^2*b^2*c^5*d^2*e^4 + 8*B^2*b^2*c^5*d^4*e^2 - 20*B^2*b^3*c^4*d^3*e^3 + 13*B^2*b^4*c^3*d^2*e^4 - 64*A^2*b*c^6*d^3*e^3 + 6*A^2*b^3*c^4*d*e^5 - 32*A*B*b*c^6*d^4*e^2 - 4*A*B*b^4*c^3*d*e^5 + 72*A*B*b^2*c^5*d^3*e^3 - 38*A*B*b^3*c^4*d^2*e^4))/(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e) + (((4*A*b^9*c^2*d*e^6 + 8*A*b^6*c^5*d^4*e^3 - 16*A*b^7*c^4*d^3*e^4 + 4*A*b^8*c^3*d^2*e^5 - 4*B*b^7*c^4*d^4*e^3 + 12*B*b^8*c^3*d^3*e^4 - 8*B*b^9*c^2*d^2*e^5)/(b^6*c^2*d^4 + b^8*d^2*e^2 - 2*b^7*c*d^3*e) - ((d + e*x)^(1/2)*(A*b*e + 4*A*c*d - 2*B*b*d)*(8*b^6*c^5*d^5*e^2 - 20*b^7*c^4*d^4*e^3 + 16*b^8*c^3*d^3*e^4 - 4*b^9*c^2*d^2*e^5))/(b^3*(d^3)^(1/2)*(b^4*c^2*d^4 + b^6*d^2*e^2 - 2*b^5*c*d^3*e)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2)))*(A*b*e + 4*A*c*d - 2*B*b*d))/(2*b^3*(d^3)^(1/2))))*(A*b*e + 4*A*c*d - 2*B*b*d)*1i)/(b^3*(d^3)^(1/2))","B"
1244,1,8946,254,6.076065,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^(3/2)),x)","-\frac{\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{c\,d^2-b\,d\,e}+\frac{\left(d+e\,x\right)\,\left(-2\,B\,b^3\,d\,e^3+3\,A\,b^3\,e^4+4\,B\,b^2\,c\,d^2\,e^2-7\,A\,b^2\,c\,d\,e^3+B\,b\,c^2\,d^3\,e+3\,A\,b\,c^2\,d^2\,e^2-2\,A\,c^3\,d^3\,e\right)}{b^2\,{\left(c\,d^2-b\,d\,e\right)}^2}-\frac{{\left(d+e\,x\right)}^2\,\left(2\,B\,b^2\,c\,d\,e^2-3\,A\,b^2\,c\,e^3+B\,b\,c^2\,d^2\,e+2\,A\,b\,c^2\,d\,e^2-2\,A\,c^3\,d^2\,e\right)}{b^2\,{\left(c\,d^2-b\,d\,e\right)}^2}}{c\,{\left(d+e\,x\right)}^{5/2}+\left(c\,d^2-b\,d\,e\right)\,\sqrt{d+e\,x}+\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}}-\frac{\mathrm{atan}\left(\frac{-A^3\,b^{14}\,d^{10}\,e^{14}\,\sqrt{d+e\,x}\,27{}\mathrm{i}+B^3\,b^{14}\,d^{13}\,e^{11}\,\sqrt{d+e\,x}\,8{}\mathrm{i}+A^3\,b^{13}\,c\,d^{11}\,e^{13}\,\sqrt{d+e\,x}\,189{}\mathrm{i}-B^3\,b^{13}\,c\,d^{14}\,e^{10}\,\sqrt{d+e\,x}\,88{}\mathrm{i}+A^3\,b^3\,c^{11}\,d^{21}\,e^3\,\sqrt{d+e\,x}\,140{}\mathrm{i}-A^3\,b^4\,c^{10}\,d^{20}\,e^4\,\sqrt{d+e\,x}\,1015{}\mathrm{i}+A^3\,b^5\,c^9\,d^{19}\,e^5\,\sqrt{d+e\,x}\,2996{}\mathrm{i}-A^3\,b^6\,c^8\,d^{18}\,e^6\,\sqrt{d+e\,x}\,4375{}\mathrm{i}+A^3\,b^7\,c^7\,d^{17}\,e^7\,\sqrt{d+e\,x}\,2561{}\mathrm{i}+A^3\,b^8\,c^6\,d^{16}\,e^8\,\sqrt{d+e\,x}\,1316{}\mathrm{i}-A^3\,b^9\,c^5\,d^{15}\,e^9\,\sqrt{d+e\,x}\,3073{}\mathrm{i}+A^3\,b^{10}\,c^4\,d^{14}\,e^{10}\,\sqrt{d+e\,x}\,1694{}\mathrm{i}+A^3\,b^{11}\,c^3\,d^{13}\,e^{11}\,\sqrt{d+e\,x}\,35{}\mathrm{i}-A^3\,b^{12}\,c^2\,d^{12}\,e^{12}\,\sqrt{d+e\,x}\,441{}\mathrm{i}-B^3\,b^5\,c^9\,d^{22}\,e^2\,\sqrt{d+e\,x}\,30{}\mathrm{i}+B^3\,b^6\,c^8\,d^{21}\,e^3\,\sqrt{d+e\,x}\,260{}\mathrm{i}-B^3\,b^7\,c^7\,d^{20}\,e^4\,\sqrt{d+e\,x}\,970{}\mathrm{i}+B^3\,b^8\,c^6\,d^{19}\,e^5\,\sqrt{d+e\,x}\,2048{}\mathrm{i}-B^3\,b^9\,c^5\,d^{18}\,e^6\,\sqrt{d+e\,x}\,2698{}\mathrm{i}+B^3\,b^{10}\,c^4\,d^{17}\,e^7\,\sqrt{d+e\,x}\,2300{}\mathrm{i}-B^3\,b^{11}\,c^3\,d^{16}\,e^8\,\sqrt{d+e\,x}\,1270{}\mathrm{i}+B^3\,b^{12}\,c^2\,d^{15}\,e^9\,\sqrt{d+e\,x}\,440{}\mathrm{i}-A\,B^2\,b^{14}\,d^{12}\,e^{12}\,\sqrt{d+e\,x}\,36{}\mathrm{i}+A^2\,B\,b^{14}\,d^{11}\,e^{13}\,\sqrt{d+e\,x}\,54{}\mathrm{i}+A\,B^2\,b^{13}\,c\,d^{13}\,e^{11}\,\sqrt{d+e\,x}\,348{}\mathrm{i}-A^2\,B\,b^{13}\,c\,d^{12}\,e^{12}\,\sqrt{d+e\,x}\,450{}\mathrm{i}+A\,B^2\,b^4\,c^{10}\,d^{22}\,e^2\,\sqrt{d+e\,x}\,120{}\mathrm{i}-A\,B^2\,b^5\,c^9\,d^{21}\,e^3\,\sqrt{d+e\,x}\,915{}\mathrm{i}+A\,B^2\,b^6\,c^8\,d^{20}\,e^4\,\sqrt{d+e\,x}\,2850{}\mathrm{i}-A\,B^2\,b^7\,c^7\,d^{19}\,e^5\,\sqrt{d+e\,x}\,4473{}\mathrm{i}+A\,B^2\,b^8\,c^6\,d^{18}\,e^6\,\sqrt{d+e\,x}\,3072{}\mathrm{i}+A\,B^2\,b^9\,c^5\,d^{17}\,e^7\,\sqrt{d+e\,x}\,951{}\mathrm{i}-A\,B^2\,b^{10}\,c^4\,d^{16}\,e^8\,\sqrt{d+e\,x}\,3690{}\mathrm{i}+A\,B^2\,b^{11}\,c^3\,d^{15}\,e^9\,\sqrt{d+e\,x}\,3225{}\mathrm{i}-A\,B^2\,b^{12}\,c^2\,d^{14}\,e^{10}\,\sqrt{d+e\,x}\,1452{}\mathrm{i}-A^2\,B\,b^3\,c^{11}\,d^{22}\,e^2\,\sqrt{d+e\,x}\,120{}\mathrm{i}+A^2\,B\,b^4\,c^{10}\,d^{21}\,e^3\,\sqrt{d+e\,x}\,720{}\mathrm{i}-A^2\,B\,b^5\,c^9\,d^{20}\,e^4\,\sqrt{d+e\,x}\,1380{}\mathrm{i}-A^2\,B\,b^6\,c^8\,d^{19}\,e^5\,\sqrt{d+e\,x}\,204{}\mathrm{i}+A^2\,B\,b^7\,c^7\,d^{18}\,e^6\,\sqrt{d+e\,x}\,4878{}\mathrm{i}-A^2\,B\,b^8\,c^6\,d^{17}\,e^7\,\sqrt{d+e\,x}\,8130{}\mathrm{i}+A^2\,B\,b^9\,c^5\,d^{16}\,e^8\,\sqrt{d+e\,x}\,5646{}\mathrm{i}-A^2\,B\,b^{10}\,c^4\,d^{15}\,e^9\,\sqrt{d+e\,x}\,450{}\mathrm{i}-A^2\,B\,b^{11}\,c^3\,d^{14}\,e^{10}\,\sqrt{d+e\,x}\,2046{}\mathrm{i}+A^2\,B\,b^{12}\,c^2\,d^{13}\,e^{11}\,\sqrt{d+e\,x}\,1482{}\mathrm{i}}{d^5\,\sqrt{d^5}\,\left(d^5\,\left(d^5\,\left(2561\,A^3\,b^7\,c^7\,e^7-d^5\,\left(120\,A^2\,B\,b^3\,c^{11}\,e^2-120\,A\,B^2\,b^4\,c^{10}\,e^2+30\,B^3\,b^5\,c^9\,e^2\right)+2300\,B^3\,b^{10}\,c^4\,e^7+140\,A^3\,b^3\,c^{11}\,d^4\,e^3-1015\,A^3\,b^4\,c^{10}\,d^3\,e^4+2996\,A^3\,b^5\,c^9\,d^2\,e^5+260\,B^3\,b^6\,c^8\,d^4\,e^3-970\,B^3\,b^7\,c^7\,d^3\,e^4+2048\,B^3\,b^8\,c^6\,d^2\,e^5+951\,A\,B^2\,b^9\,c^5\,e^7-8130\,A^2\,B\,b^8\,c^6\,e^7-4375\,A^3\,b^6\,c^8\,d\,e^6-2698\,B^3\,b^9\,c^5\,d\,e^6-915\,A\,B^2\,b^5\,c^9\,d^4\,e^3+2850\,A\,B^2\,b^6\,c^8\,d^3\,e^4-4473\,A\,B^2\,b^7\,c^7\,d^2\,e^5+720\,A^2\,B\,b^4\,c^{10}\,d^4\,e^3-1380\,A^2\,B\,b^5\,c^9\,d^3\,e^4-204\,A^2\,B\,b^6\,c^8\,d^2\,e^5+3072\,A\,B^2\,b^8\,c^6\,d\,e^6+4878\,A^2\,B\,b^7\,c^7\,d\,e^6\right)-441\,A^3\,b^{12}\,c^2\,e^{12}-36\,A\,B^2\,b^{14}\,e^{12}+8\,B^3\,b^{14}\,d\,e^{11}+1316\,A^3\,b^8\,c^6\,d^4\,e^8-3073\,A^3\,b^9\,c^5\,d^3\,e^9+1694\,A^3\,b^{10}\,c^4\,d^2\,e^{10}-1270\,B^3\,b^{11}\,c^3\,d^4\,e^8+440\,B^3\,b^{12}\,c^2\,d^3\,e^9-450\,A^2\,B\,b^{13}\,c\,e^{12}+35\,A^3\,b^{11}\,c^3\,d\,e^{11}-88\,B^3\,b^{13}\,c\,d^2\,e^{10}-3690\,A\,B^2\,b^{10}\,c^4\,d^4\,e^8+3225\,A\,B^2\,b^{11}\,c^3\,d^3\,e^9-1452\,A\,B^2\,b^{12}\,c^2\,d^2\,e^{10}+5646\,A^2\,B\,b^9\,c^5\,d^4\,e^8-450\,A^2\,B\,b^{10}\,c^4\,d^3\,e^9-2046\,A^2\,B\,b^{11}\,c^3\,d^2\,e^{10}+348\,A\,B^2\,b^{13}\,c\,d\,e^{11}+1482\,A^2\,B\,b^{12}\,c^2\,d\,e^{11}\right)-27\,A^3\,b^{14}\,d^3\,e^{14}+54\,A^2\,B\,b^{14}\,d^4\,e^{13}+189\,A^3\,b^{13}\,c\,d^4\,e^{13}\right)}\right)\,\left(3\,A\,b\,e+4\,A\,c\,d-2\,B\,b\,d\right)\,1{}\mathrm{i}}{b^3\,\sqrt{d^5}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{d+e\,x}\,\left(18\,A^2\,b^{18}\,c^3\,d^6\,e^{14}-132\,A^2\,b^{17}\,c^4\,d^7\,e^{13}+362\,A^2\,b^{16}\,c^5\,d^8\,e^{12}-320\,A^2\,b^{15}\,c^6\,d^9\,e^{11}-442\,A^2\,b^{14}\,c^7\,d^{10}\,e^{10}+1004\,A^2\,b^{13}\,c^8\,d^{11}\,e^9+578\,A^2\,b^{12}\,c^9\,d^{12}\,e^8-3976\,A^2\,b^{11}\,c^{10}\,d^{13}\,e^7+5960\,A^2\,b^{10}\,c^{11}\,d^{14}\,e^6-4768\,A^2\,b^9\,c^{12}\,d^{15}\,e^5+2228\,A^2\,b^8\,c^{13}\,d^{16}\,e^4-576\,A^2\,b^7\,c^{14}\,d^{17}\,e^3+64\,A^2\,b^6\,c^{15}\,d^{18}\,e^2-24\,A\,B\,b^{18}\,c^3\,d^7\,e^{13}+208\,A\,B\,b^{17}\,c^4\,d^8\,e^{12}-760\,A\,B\,b^{16}\,c^5\,d^9\,e^{11}+1300\,A\,B\,b^{15}\,c^6\,d^{10}\,e^{10}-224\,A\,B\,b^{14}\,c^7\,d^{11}\,e^9-3620\,A\,B\,b^{13}\,c^8\,d^{12}\,e^8+8056\,A\,B\,b^{12}\,c^9\,d^{13}\,e^7-9140\,A\,B\,b^{11}\,c^{10}\,d^{14}\,e^6+6280\,A\,B\,b^{10}\,c^{11}\,d^{15}\,e^5-2636\,A\,B\,b^9\,c^{12}\,d^{16}\,e^4+624\,A\,B\,b^8\,c^{13}\,d^{17}\,e^3-64\,A\,B\,b^7\,c^{14}\,d^{18}\,e^2+8\,B^2\,b^{18}\,c^3\,d^8\,e^{12}-80\,B^2\,b^{17}\,c^4\,d^9\,e^{11}+410\,B^2\,b^{16}\,c^5\,d^{10}\,e^{10}-1300\,B^2\,b^{15}\,c^6\,d^{11}\,e^9+2678\,B^2\,b^{14}\,c^7\,d^{12}\,e^8-3664\,B^2\,b^{13}\,c^8\,d^{13}\,e^7+3350\,B^2\,b^{12}\,c^9\,d^{14}\,e^6-2020\,B^2\,b^{11}\,c^{10}\,d^{15}\,e^5+770\,B^2\,b^{10}\,c^{11}\,d^{16}\,e^4-168\,B^2\,b^9\,c^{12}\,d^{17}\,e^3+16\,B^2\,b^8\,c^{13}\,d^{18}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(-8\,b^{23}\,c^2\,d^{10}\,e^{13}+96\,b^{22}\,c^3\,d^{11}\,e^{12}-520\,b^{21}\,c^4\,d^{12}\,e^{11}+1680\,b^{20}\,c^5\,d^{13}\,e^{10}-3600\,b^{19}\,c^6\,d^{14}\,e^9+5376\,b^{18}\,c^7\,d^{15}\,e^8-5712\,b^{17}\,c^8\,d^{16}\,e^7+4320\,b^{16}\,c^9\,d^{17}\,e^6-2280\,b^{15}\,c^{10}\,d^{18}\,e^5+800\,b^{14}\,c^{11}\,d^{19}\,e^4-168\,b^{13}\,c^{12}\,d^{20}\,e^3+16\,b^{12}\,c^{13}\,d^{21}\,e^2\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}-8\,A\,b^{10}\,c^{13}\,d^{19}\,e^3+76\,A\,b^{11}\,c^{12}\,d^{18}\,e^4-300\,A\,b^{12}\,c^{11}\,d^{17}\,e^5+612\,A\,b^{13}\,c^{10}\,d^{16}\,e^6-576\,A\,b^{14}\,c^9\,d^{15}\,e^7-168\,A\,b^{15}\,c^8\,d^{14}\,e^8+1176\,A\,b^{16}\,c^7\,d^{13}\,e^9-1560\,A\,b^{17}\,c^6\,d^{12}\,e^{10}+1128\,A\,b^{18}\,c^5\,d^{11}\,e^{11}-484\,A\,b^{19}\,c^4\,d^{10}\,e^{12}+116\,A\,b^{20}\,c^3\,d^9\,e^{13}-12\,A\,b^{21}\,c^2\,d^8\,e^{14}+4\,B\,b^{11}\,c^{12}\,d^{19}\,e^3-56\,B\,b^{12}\,c^{11}\,d^{18}\,e^4+312\,B\,b^{13}\,c^{10}\,d^{17}\,e^5-960\,B\,b^{14}\,c^9\,d^{16}\,e^6+1848\,B\,b^{15}\,c^8\,d^{15}\,e^7-2352\,B\,b^{16}\,c^7\,d^{14}\,e^8+2016\,B\,b^{17}\,c^6\,d^{13}\,e^9-1152\,B\,b^{18}\,c^5\,d^{12}\,e^{10}+420\,B\,b^{19}\,c^4\,d^{11}\,e^{11}-88\,B\,b^{20}\,c^3\,d^{10}\,e^{12}+8\,B\,b^{21}\,c^2\,d^9\,e^{13}\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}+\frac{\left(\sqrt{d+e\,x}\,\left(18\,A^2\,b^{18}\,c^3\,d^6\,e^{14}-132\,A^2\,b^{17}\,c^4\,d^7\,e^{13}+362\,A^2\,b^{16}\,c^5\,d^8\,e^{12}-320\,A^2\,b^{15}\,c^6\,d^9\,e^{11}-442\,A^2\,b^{14}\,c^7\,d^{10}\,e^{10}+1004\,A^2\,b^{13}\,c^8\,d^{11}\,e^9+578\,A^2\,b^{12}\,c^9\,d^{12}\,e^8-3976\,A^2\,b^{11}\,c^{10}\,d^{13}\,e^7+5960\,A^2\,b^{10}\,c^{11}\,d^{14}\,e^6-4768\,A^2\,b^9\,c^{12}\,d^{15}\,e^5+2228\,A^2\,b^8\,c^{13}\,d^{16}\,e^4-576\,A^2\,b^7\,c^{14}\,d^{17}\,e^3+64\,A^2\,b^6\,c^{15}\,d^{18}\,e^2-24\,A\,B\,b^{18}\,c^3\,d^7\,e^{13}+208\,A\,B\,b^{17}\,c^4\,d^8\,e^{12}-760\,A\,B\,b^{16}\,c^5\,d^9\,e^{11}+1300\,A\,B\,b^{15}\,c^6\,d^{10}\,e^{10}-224\,A\,B\,b^{14}\,c^7\,d^{11}\,e^9-3620\,A\,B\,b^{13}\,c^8\,d^{12}\,e^8+8056\,A\,B\,b^{12}\,c^9\,d^{13}\,e^7-9140\,A\,B\,b^{11}\,c^{10}\,d^{14}\,e^6+6280\,A\,B\,b^{10}\,c^{11}\,d^{15}\,e^5-2636\,A\,B\,b^9\,c^{12}\,d^{16}\,e^4+624\,A\,B\,b^8\,c^{13}\,d^{17}\,e^3-64\,A\,B\,b^7\,c^{14}\,d^{18}\,e^2+8\,B^2\,b^{18}\,c^3\,d^8\,e^{12}-80\,B^2\,b^{17}\,c^4\,d^9\,e^{11}+410\,B^2\,b^{16}\,c^5\,d^{10}\,e^{10}-1300\,B^2\,b^{15}\,c^6\,d^{11}\,e^9+2678\,B^2\,b^{14}\,c^7\,d^{12}\,e^8-3664\,B^2\,b^{13}\,c^8\,d^{13}\,e^7+3350\,B^2\,b^{12}\,c^9\,d^{14}\,e^6-2020\,B^2\,b^{11}\,c^{10}\,d^{15}\,e^5+770\,B^2\,b^{10}\,c^{11}\,d^{16}\,e^4-168\,B^2\,b^9\,c^{12}\,d^{17}\,e^3+16\,B^2\,b^8\,c^{13}\,d^{18}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(-8\,b^{23}\,c^2\,d^{10}\,e^{13}+96\,b^{22}\,c^3\,d^{11}\,e^{12}-520\,b^{21}\,c^4\,d^{12}\,e^{11}+1680\,b^{20}\,c^5\,d^{13}\,e^{10}-3600\,b^{19}\,c^6\,d^{14}\,e^9+5376\,b^{18}\,c^7\,d^{15}\,e^8-5712\,b^{17}\,c^8\,d^{16}\,e^7+4320\,b^{16}\,c^9\,d^{17}\,e^6-2280\,b^{15}\,c^{10}\,d^{18}\,e^5+800\,b^{14}\,c^{11}\,d^{19}\,e^4-168\,b^{13}\,c^{12}\,d^{20}\,e^3+16\,b^{12}\,c^{13}\,d^{21}\,e^2\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}+8\,A\,b^{10}\,c^{13}\,d^{19}\,e^3-76\,A\,b^{11}\,c^{12}\,d^{18}\,e^4+300\,A\,b^{12}\,c^{11}\,d^{17}\,e^5-612\,A\,b^{13}\,c^{10}\,d^{16}\,e^6+576\,A\,b^{14}\,c^9\,d^{15}\,e^7+168\,A\,b^{15}\,c^8\,d^{14}\,e^8-1176\,A\,b^{16}\,c^7\,d^{13}\,e^9+1560\,A\,b^{17}\,c^6\,d^{12}\,e^{10}-1128\,A\,b^{18}\,c^5\,d^{11}\,e^{11}+484\,A\,b^{19}\,c^4\,d^{10}\,e^{12}-116\,A\,b^{20}\,c^3\,d^9\,e^{13}+12\,A\,b^{21}\,c^2\,d^8\,e^{14}-4\,B\,b^{11}\,c^{12}\,d^{19}\,e^3+56\,B\,b^{12}\,c^{11}\,d^{18}\,e^4-312\,B\,b^{13}\,c^{10}\,d^{17}\,e^5+960\,B\,b^{14}\,c^9\,d^{16}\,e^6-1848\,B\,b^{15}\,c^8\,d^{15}\,e^7+2352\,B\,b^{16}\,c^7\,d^{14}\,e^8-2016\,B\,b^{17}\,c^6\,d^{13}\,e^9+1152\,B\,b^{18}\,c^5\,d^{12}\,e^{10}-420\,B\,b^{19}\,c^4\,d^{11}\,e^{11}+88\,B\,b^{20}\,c^3\,d^{10}\,e^{12}-8\,B\,b^{21}\,c^2\,d^9\,e^{13}\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}}{\frac{\left(\sqrt{d+e\,x}\,\left(18\,A^2\,b^{18}\,c^3\,d^6\,e^{14}-132\,A^2\,b^{17}\,c^4\,d^7\,e^{13}+362\,A^2\,b^{16}\,c^5\,d^8\,e^{12}-320\,A^2\,b^{15}\,c^6\,d^9\,e^{11}-442\,A^2\,b^{14}\,c^7\,d^{10}\,e^{10}+1004\,A^2\,b^{13}\,c^8\,d^{11}\,e^9+578\,A^2\,b^{12}\,c^9\,d^{12}\,e^8-3976\,A^2\,b^{11}\,c^{10}\,d^{13}\,e^7+5960\,A^2\,b^{10}\,c^{11}\,d^{14}\,e^6-4768\,A^2\,b^9\,c^{12}\,d^{15}\,e^5+2228\,A^2\,b^8\,c^{13}\,d^{16}\,e^4-576\,A^2\,b^7\,c^{14}\,d^{17}\,e^3+64\,A^2\,b^6\,c^{15}\,d^{18}\,e^2-24\,A\,B\,b^{18}\,c^3\,d^7\,e^{13}+208\,A\,B\,b^{17}\,c^4\,d^8\,e^{12}-760\,A\,B\,b^{16}\,c^5\,d^9\,e^{11}+1300\,A\,B\,b^{15}\,c^6\,d^{10}\,e^{10}-224\,A\,B\,b^{14}\,c^7\,d^{11}\,e^9-3620\,A\,B\,b^{13}\,c^8\,d^{12}\,e^8+8056\,A\,B\,b^{12}\,c^9\,d^{13}\,e^7-9140\,A\,B\,b^{11}\,c^{10}\,d^{14}\,e^6+6280\,A\,B\,b^{10}\,c^{11}\,d^{15}\,e^5-2636\,A\,B\,b^9\,c^{12}\,d^{16}\,e^4+624\,A\,B\,b^8\,c^{13}\,d^{17}\,e^3-64\,A\,B\,b^7\,c^{14}\,d^{18}\,e^2+8\,B^2\,b^{18}\,c^3\,d^8\,e^{12}-80\,B^2\,b^{17}\,c^4\,d^9\,e^{11}+410\,B^2\,b^{16}\,c^5\,d^{10}\,e^{10}-1300\,B^2\,b^{15}\,c^6\,d^{11}\,e^9+2678\,B^2\,b^{14}\,c^7\,d^{12}\,e^8-3664\,B^2\,b^{13}\,c^8\,d^{13}\,e^7+3350\,B^2\,b^{12}\,c^9\,d^{14}\,e^6-2020\,B^2\,b^{11}\,c^{10}\,d^{15}\,e^5+770\,B^2\,b^{10}\,c^{11}\,d^{16}\,e^4-168\,B^2\,b^9\,c^{12}\,d^{17}\,e^3+16\,B^2\,b^8\,c^{13}\,d^{18}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(-8\,b^{23}\,c^2\,d^{10}\,e^{13}+96\,b^{22}\,c^3\,d^{11}\,e^{12}-520\,b^{21}\,c^4\,d^{12}\,e^{11}+1680\,b^{20}\,c^5\,d^{13}\,e^{10}-3600\,b^{19}\,c^6\,d^{14}\,e^9+5376\,b^{18}\,c^7\,d^{15}\,e^8-5712\,b^{17}\,c^8\,d^{16}\,e^7+4320\,b^{16}\,c^9\,d^{17}\,e^6-2280\,b^{15}\,c^{10}\,d^{18}\,e^5+800\,b^{14}\,c^{11}\,d^{19}\,e^4-168\,b^{13}\,c^{12}\,d^{20}\,e^3+16\,b^{12}\,c^{13}\,d^{21}\,e^2\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}+8\,A\,b^{10}\,c^{13}\,d^{19}\,e^3-76\,A\,b^{11}\,c^{12}\,d^{18}\,e^4+300\,A\,b^{12}\,c^{11}\,d^{17}\,e^5-612\,A\,b^{13}\,c^{10}\,d^{16}\,e^6+576\,A\,b^{14}\,c^9\,d^{15}\,e^7+168\,A\,b^{15}\,c^8\,d^{14}\,e^8-1176\,A\,b^{16}\,c^7\,d^{13}\,e^9+1560\,A\,b^{17}\,c^6\,d^{12}\,e^{10}-1128\,A\,b^{18}\,c^5\,d^{11}\,e^{11}+484\,A\,b^{19}\,c^4\,d^{10}\,e^{12}-116\,A\,b^{20}\,c^3\,d^9\,e^{13}+12\,A\,b^{21}\,c^2\,d^8\,e^{14}-4\,B\,b^{11}\,c^{12}\,d^{19}\,e^3+56\,B\,b^{12}\,c^{11}\,d^{18}\,e^4-312\,B\,b^{13}\,c^{10}\,d^{17}\,e^5+960\,B\,b^{14}\,c^9\,d^{16}\,e^6-1848\,B\,b^{15}\,c^8\,d^{15}\,e^7+2352\,B\,b^{16}\,c^7\,d^{14}\,e^8-2016\,B\,b^{17}\,c^6\,d^{13}\,e^9+1152\,B\,b^{18}\,c^5\,d^{12}\,e^{10}-420\,B\,b^{19}\,c^4\,d^{11}\,e^{11}+88\,B\,b^{20}\,c^3\,d^{10}\,e^{12}-8\,B\,b^{21}\,c^2\,d^9\,e^{13}\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}-\frac{\left(\sqrt{d+e\,x}\,\left(18\,A^2\,b^{18}\,c^3\,d^6\,e^{14}-132\,A^2\,b^{17}\,c^4\,d^7\,e^{13}+362\,A^2\,b^{16}\,c^5\,d^8\,e^{12}-320\,A^2\,b^{15}\,c^6\,d^9\,e^{11}-442\,A^2\,b^{14}\,c^7\,d^{10}\,e^{10}+1004\,A^2\,b^{13}\,c^8\,d^{11}\,e^9+578\,A^2\,b^{12}\,c^9\,d^{12}\,e^8-3976\,A^2\,b^{11}\,c^{10}\,d^{13}\,e^7+5960\,A^2\,b^{10}\,c^{11}\,d^{14}\,e^6-4768\,A^2\,b^9\,c^{12}\,d^{15}\,e^5+2228\,A^2\,b^8\,c^{13}\,d^{16}\,e^4-576\,A^2\,b^7\,c^{14}\,d^{17}\,e^3+64\,A^2\,b^6\,c^{15}\,d^{18}\,e^2-24\,A\,B\,b^{18}\,c^3\,d^7\,e^{13}+208\,A\,B\,b^{17}\,c^4\,d^8\,e^{12}-760\,A\,B\,b^{16}\,c^5\,d^9\,e^{11}+1300\,A\,B\,b^{15}\,c^6\,d^{10}\,e^{10}-224\,A\,B\,b^{14}\,c^7\,d^{11}\,e^9-3620\,A\,B\,b^{13}\,c^8\,d^{12}\,e^8+8056\,A\,B\,b^{12}\,c^9\,d^{13}\,e^7-9140\,A\,B\,b^{11}\,c^{10}\,d^{14}\,e^6+6280\,A\,B\,b^{10}\,c^{11}\,d^{15}\,e^5-2636\,A\,B\,b^9\,c^{12}\,d^{16}\,e^4+624\,A\,B\,b^8\,c^{13}\,d^{17}\,e^3-64\,A\,B\,b^7\,c^{14}\,d^{18}\,e^2+8\,B^2\,b^{18}\,c^3\,d^8\,e^{12}-80\,B^2\,b^{17}\,c^4\,d^9\,e^{11}+410\,B^2\,b^{16}\,c^5\,d^{10}\,e^{10}-1300\,B^2\,b^{15}\,c^6\,d^{11}\,e^9+2678\,B^2\,b^{14}\,c^7\,d^{12}\,e^8-3664\,B^2\,b^{13}\,c^8\,d^{13}\,e^7+3350\,B^2\,b^{12}\,c^9\,d^{14}\,e^6-2020\,B^2\,b^{11}\,c^{10}\,d^{15}\,e^5+770\,B^2\,b^{10}\,c^{11}\,d^{16}\,e^4-168\,B^2\,b^9\,c^{12}\,d^{17}\,e^3+16\,B^2\,b^8\,c^{13}\,d^{18}\,e^2\right)-\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(\frac{\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\sqrt{d+e\,x}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,\left(-8\,b^{23}\,c^2\,d^{10}\,e^{13}+96\,b^{22}\,c^3\,d^{11}\,e^{12}-520\,b^{21}\,c^4\,d^{12}\,e^{11}+1680\,b^{20}\,c^5\,d^{13}\,e^{10}-3600\,b^{19}\,c^6\,d^{14}\,e^9+5376\,b^{18}\,c^7\,d^{15}\,e^8-5712\,b^{17}\,c^8\,d^{16}\,e^7+4320\,b^{16}\,c^9\,d^{17}\,e^6-2280\,b^{15}\,c^{10}\,d^{18}\,e^5+800\,b^{14}\,c^{11}\,d^{19}\,e^4-168\,b^{13}\,c^{12}\,d^{20}\,e^3+16\,b^{12}\,c^{13}\,d^{21}\,e^2\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}-8\,A\,b^{10}\,c^{13}\,d^{19}\,e^3+76\,A\,b^{11}\,c^{12}\,d^{18}\,e^4-300\,A\,b^{12}\,c^{11}\,d^{17}\,e^5+612\,A\,b^{13}\,c^{10}\,d^{16}\,e^6-576\,A\,b^{14}\,c^9\,d^{15}\,e^7-168\,A\,b^{15}\,c^8\,d^{14}\,e^8+1176\,A\,b^{16}\,c^7\,d^{13}\,e^9-1560\,A\,b^{17}\,c^6\,d^{12}\,e^{10}+1128\,A\,b^{18}\,c^5\,d^{11}\,e^{11}-484\,A\,b^{19}\,c^4\,d^{10}\,e^{12}+116\,A\,b^{20}\,c^3\,d^9\,e^{13}-12\,A\,b^{21}\,c^2\,d^8\,e^{14}+4\,B\,b^{11}\,c^{12}\,d^{19}\,e^3-56\,B\,b^{12}\,c^{11}\,d^{18}\,e^4+312\,B\,b^{13}\,c^{10}\,d^{17}\,e^5-960\,B\,b^{14}\,c^9\,d^{16}\,e^6+1848\,B\,b^{15}\,c^8\,d^{15}\,e^7-2352\,B\,b^{16}\,c^7\,d^{14}\,e^8+2016\,B\,b^{17}\,c^6\,d^{13}\,e^9-1152\,B\,b^{18}\,c^5\,d^{12}\,e^{10}+420\,B\,b^{19}\,c^4\,d^{11}\,e^{11}-88\,B\,b^{20}\,c^3\,d^{10}\,e^{12}+8\,B\,b^{21}\,c^2\,d^9\,e^{13}\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)}{2\,\left(b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5\right)}+64\,A^3\,b^4\,c^{15}\,d^{16}\,e^3-512\,A^3\,b^5\,c^{14}\,d^{15}\,e^4+1804\,A^3\,b^6\,c^{13}\,d^{14}\,e^5-3668\,A^3\,b^7\,c^{12}\,d^{13}\,e^6+4606\,A^3\,b^8\,c^{11}\,d^{12}\,e^7-3248\,A^3\,b^9\,c^{10}\,d^{11}\,e^8+322\,A^3\,b^{10}\,c^9\,d^{10}\,e^9+1756\,A^3\,b^{11}\,c^8\,d^9\,e^{10}-1742\,A^3\,b^{12}\,c^7\,d^8\,e^{11}+744\,A^3\,b^{13}\,c^6\,d^7\,e^{12}-126\,A^3\,b^{14}\,c^5\,d^6\,e^{13}-8\,B^3\,b^7\,c^{12}\,d^{16}\,e^3+52\,B^3\,b^8\,c^{11}\,d^{15}\,e^4-104\,B^3\,b^9\,c^{10}\,d^{14}\,e^5-20\,B^3\,b^{10}\,c^9\,d^{13}\,e^6+400\,B^3\,b^{11}\,c^8\,d^{12}\,e^7-692\,B^3\,b^{12}\,c^7\,d^{11}\,e^8+568\,B^3\,b^{13}\,c^6\,d^{10}\,e^9-236\,B^3\,b^{14}\,c^5\,d^9\,e^{10}+40\,B^3\,b^{15}\,c^4\,d^8\,e^{11}+48\,A\,B^2\,b^6\,c^{13}\,d^{16}\,e^3-336\,A\,B^2\,b^7\,c^{12}\,d^{15}\,e^4+930\,A\,B^2\,b^8\,c^{11}\,d^{14}\,e^5-1332\,A\,B^2\,b^9\,c^{10}\,d^{13}\,e^6+1230\,A\,B^2\,b^{10}\,c^9\,d^{12}\,e^7-1248\,A\,B^2\,b^{11}\,c^8\,d^{11}\,e^8+1566\,A\,B^2\,b^{12}\,c^7\,d^{10}\,e^9-1380\,A\,B^2\,b^{13}\,c^6\,d^9\,e^{10}+642\,A\,B^2\,b^{14}\,c^5\,d^8\,e^{11}-120\,A\,B^2\,b^{15}\,c^4\,d^7\,e^{12}-96\,A^2\,B\,b^5\,c^{14}\,d^{16}\,e^3+720\,A^2\,B\,b^6\,c^{13}\,d^{15}\,e^4-2346\,A^2\,B\,b^7\,c^{12}\,d^{14}\,e^5+4524\,A^2\,B\,b^8\,c^{11}\,d^{13}\,e^6-6012\,A^2\,B\,b^9\,c^{10}\,d^{12}\,e^7+5916\,A^2\,B\,b^{10}\,c^9\,d^{11}\,e^8-4080\,A^2\,B\,b^{11}\,c^8\,d^{10}\,e^9+1476\,A^2\,B\,b^{12}\,c^7\,d^9\,e^{10}+156\,A^2\,B\,b^{13}\,c^6\,d^8\,e^{11}-348\,A^2\,B\,b^{14}\,c^5\,d^7\,e^{12}+90\,A^2\,B\,b^{15}\,c^4\,d^6\,e^{13}}\right)\,\sqrt{-c^3\,{\left(b\,e-c\,d\right)}^5}\,\left(4\,A\,c^2\,d+5\,B\,b^2\,e-7\,A\,b\,c\,e-2\,B\,b\,c\,d\right)\,1{}\mathrm{i}}{b^8\,e^5-5\,b^7\,c\,d\,e^4+10\,b^6\,c^2\,d^2\,e^3-10\,b^5\,c^3\,d^3\,e^2+5\,b^4\,c^4\,d^4\,e-b^3\,c^5\,d^5}","Not used",1,"(atan(((((d + e*x)^(1/2)*(64*A^2*b^6*c^15*d^18*e^2 - 576*A^2*b^7*c^14*d^17*e^3 + 2228*A^2*b^8*c^13*d^16*e^4 - 4768*A^2*b^9*c^12*d^15*e^5 + 5960*A^2*b^10*c^11*d^14*e^6 - 3976*A^2*b^11*c^10*d^13*e^7 + 578*A^2*b^12*c^9*d^12*e^8 + 1004*A^2*b^13*c^8*d^11*e^9 - 442*A^2*b^14*c^7*d^10*e^10 - 320*A^2*b^15*c^6*d^9*e^11 + 362*A^2*b^16*c^5*d^8*e^12 - 132*A^2*b^17*c^4*d^7*e^13 + 18*A^2*b^18*c^3*d^6*e^14 + 16*B^2*b^8*c^13*d^18*e^2 - 168*B^2*b^9*c^12*d^17*e^3 + 770*B^2*b^10*c^11*d^16*e^4 - 2020*B^2*b^11*c^10*d^15*e^5 + 3350*B^2*b^12*c^9*d^14*e^6 - 3664*B^2*b^13*c^8*d^13*e^7 + 2678*B^2*b^14*c^7*d^12*e^8 - 1300*B^2*b^15*c^6*d^11*e^9 + 410*B^2*b^16*c^5*d^10*e^10 - 80*B^2*b^17*c^4*d^9*e^11 + 8*B^2*b^18*c^3*d^8*e^12 - 64*A*B*b^7*c^14*d^18*e^2 + 624*A*B*b^8*c^13*d^17*e^3 - 2636*A*B*b^9*c^12*d^16*e^4 + 6280*A*B*b^10*c^11*d^15*e^5 - 9140*A*B*b^11*c^10*d^14*e^6 + 8056*A*B*b^12*c^9*d^13*e^7 - 3620*A*B*b^13*c^8*d^12*e^8 - 224*A*B*b^14*c^7*d^11*e^9 + 1300*A*B*b^15*c^6*d^10*e^10 - 760*A*B*b^16*c^5*d^9*e^11 + 208*A*B*b^17*c^4*d^8*e^12 - 24*A*B*b^18*c^3*d^7*e^13) - ((-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(((-c^3*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) - 8*A*b^10*c^13*d^19*e^3 + 76*A*b^11*c^12*d^18*e^4 - 300*A*b^12*c^11*d^17*e^5 + 612*A*b^13*c^10*d^16*e^6 - 576*A*b^14*c^9*d^15*e^7 - 168*A*b^15*c^8*d^14*e^8 + 1176*A*b^16*c^7*d^13*e^9 - 1560*A*b^17*c^6*d^12*e^10 + 1128*A*b^18*c^5*d^11*e^11 - 484*A*b^19*c^4*d^10*e^12 + 116*A*b^20*c^3*d^9*e^13 - 12*A*b^21*c^2*d^8*e^14 + 4*B*b^11*c^12*d^19*e^3 - 56*B*b^12*c^11*d^18*e^4 + 312*B*b^13*c^10*d^17*e^5 - 960*B*b^14*c^9*d^16*e^6 + 1848*B*b^15*c^8*d^15*e^7 - 2352*B*b^16*c^7*d^14*e^8 + 2016*B*b^17*c^6*d^13*e^9 - 1152*B*b^18*c^5*d^12*e^10 + 420*B*b^19*c^4*d^11*e^11 - 88*B*b^20*c^3*d^10*e^12 + 8*B*b^21*c^2*d^9*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)))*(-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) + (((d + e*x)^(1/2)*(64*A^2*b^6*c^15*d^18*e^2 - 576*A^2*b^7*c^14*d^17*e^3 + 2228*A^2*b^8*c^13*d^16*e^4 - 4768*A^2*b^9*c^12*d^15*e^5 + 5960*A^2*b^10*c^11*d^14*e^6 - 3976*A^2*b^11*c^10*d^13*e^7 + 578*A^2*b^12*c^9*d^12*e^8 + 1004*A^2*b^13*c^8*d^11*e^9 - 442*A^2*b^14*c^7*d^10*e^10 - 320*A^2*b^15*c^6*d^9*e^11 + 362*A^2*b^16*c^5*d^8*e^12 - 132*A^2*b^17*c^4*d^7*e^13 + 18*A^2*b^18*c^3*d^6*e^14 + 16*B^2*b^8*c^13*d^18*e^2 - 168*B^2*b^9*c^12*d^17*e^3 + 770*B^2*b^10*c^11*d^16*e^4 - 2020*B^2*b^11*c^10*d^15*e^5 + 3350*B^2*b^12*c^9*d^14*e^6 - 3664*B^2*b^13*c^8*d^13*e^7 + 2678*B^2*b^14*c^7*d^12*e^8 - 1300*B^2*b^15*c^6*d^11*e^9 + 410*B^2*b^16*c^5*d^10*e^10 - 80*B^2*b^17*c^4*d^9*e^11 + 8*B^2*b^18*c^3*d^8*e^12 - 64*A*B*b^7*c^14*d^18*e^2 + 624*A*B*b^8*c^13*d^17*e^3 - 2636*A*B*b^9*c^12*d^16*e^4 + 6280*A*B*b^10*c^11*d^15*e^5 - 9140*A*B*b^11*c^10*d^14*e^6 + 8056*A*B*b^12*c^9*d^13*e^7 - 3620*A*B*b^13*c^8*d^12*e^8 - 224*A*B*b^14*c^7*d^11*e^9 + 1300*A*B*b^15*c^6*d^10*e^10 - 760*A*B*b^16*c^5*d^9*e^11 + 208*A*B*b^17*c^4*d^8*e^12 - 24*A*B*b^18*c^3*d^7*e^13) - ((-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(((-c^3*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) + 8*A*b^10*c^13*d^19*e^3 - 76*A*b^11*c^12*d^18*e^4 + 300*A*b^12*c^11*d^17*e^5 - 612*A*b^13*c^10*d^16*e^6 + 576*A*b^14*c^9*d^15*e^7 + 168*A*b^15*c^8*d^14*e^8 - 1176*A*b^16*c^7*d^13*e^9 + 1560*A*b^17*c^6*d^12*e^10 - 1128*A*b^18*c^5*d^11*e^11 + 484*A*b^19*c^4*d^10*e^12 - 116*A*b^20*c^3*d^9*e^13 + 12*A*b^21*c^2*d^8*e^14 - 4*B*b^11*c^12*d^19*e^3 + 56*B*b^12*c^11*d^18*e^4 - 312*B*b^13*c^10*d^17*e^5 + 960*B*b^14*c^9*d^16*e^6 - 1848*B*b^15*c^8*d^15*e^7 + 2352*B*b^16*c^7*d^14*e^8 - 2016*B*b^17*c^6*d^13*e^9 + 1152*B*b^18*c^5*d^12*e^10 - 420*B*b^19*c^4*d^11*e^11 + 88*B*b^20*c^3*d^10*e^12 - 8*B*b^21*c^2*d^9*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)))*(-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*1i)/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)))/((((d + e*x)^(1/2)*(64*A^2*b^6*c^15*d^18*e^2 - 576*A^2*b^7*c^14*d^17*e^3 + 2228*A^2*b^8*c^13*d^16*e^4 - 4768*A^2*b^9*c^12*d^15*e^5 + 5960*A^2*b^10*c^11*d^14*e^6 - 3976*A^2*b^11*c^10*d^13*e^7 + 578*A^2*b^12*c^9*d^12*e^8 + 1004*A^2*b^13*c^8*d^11*e^9 - 442*A^2*b^14*c^7*d^10*e^10 - 320*A^2*b^15*c^6*d^9*e^11 + 362*A^2*b^16*c^5*d^8*e^12 - 132*A^2*b^17*c^4*d^7*e^13 + 18*A^2*b^18*c^3*d^6*e^14 + 16*B^2*b^8*c^13*d^18*e^2 - 168*B^2*b^9*c^12*d^17*e^3 + 770*B^2*b^10*c^11*d^16*e^4 - 2020*B^2*b^11*c^10*d^15*e^5 + 3350*B^2*b^12*c^9*d^14*e^6 - 3664*B^2*b^13*c^8*d^13*e^7 + 2678*B^2*b^14*c^7*d^12*e^8 - 1300*B^2*b^15*c^6*d^11*e^9 + 410*B^2*b^16*c^5*d^10*e^10 - 80*B^2*b^17*c^4*d^9*e^11 + 8*B^2*b^18*c^3*d^8*e^12 - 64*A*B*b^7*c^14*d^18*e^2 + 624*A*B*b^8*c^13*d^17*e^3 - 2636*A*B*b^9*c^12*d^16*e^4 + 6280*A*B*b^10*c^11*d^15*e^5 - 9140*A*B*b^11*c^10*d^14*e^6 + 8056*A*B*b^12*c^9*d^13*e^7 - 3620*A*B*b^13*c^8*d^12*e^8 - 224*A*B*b^14*c^7*d^11*e^9 + 1300*A*B*b^15*c^6*d^10*e^10 - 760*A*B*b^16*c^5*d^9*e^11 + 208*A*B*b^17*c^4*d^8*e^12 - 24*A*B*b^18*c^3*d^7*e^13) - ((-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(((-c^3*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) + 8*A*b^10*c^13*d^19*e^3 - 76*A*b^11*c^12*d^18*e^4 + 300*A*b^12*c^11*d^17*e^5 - 612*A*b^13*c^10*d^16*e^6 + 576*A*b^14*c^9*d^15*e^7 + 168*A*b^15*c^8*d^14*e^8 - 1176*A*b^16*c^7*d^13*e^9 + 1560*A*b^17*c^6*d^12*e^10 - 1128*A*b^18*c^5*d^11*e^11 + 484*A*b^19*c^4*d^10*e^12 - 116*A*b^20*c^3*d^9*e^13 + 12*A*b^21*c^2*d^8*e^14 - 4*B*b^11*c^12*d^19*e^3 + 56*B*b^12*c^11*d^18*e^4 - 312*B*b^13*c^10*d^17*e^5 + 960*B*b^14*c^9*d^16*e^6 - 1848*B*b^15*c^8*d^15*e^7 + 2352*B*b^16*c^7*d^14*e^8 - 2016*B*b^17*c^6*d^13*e^9 + 1152*B*b^18*c^5*d^12*e^10 - 420*B*b^19*c^4*d^11*e^11 + 88*B*b^20*c^3*d^10*e^12 - 8*B*b^21*c^2*d^9*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)))*(-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) - (((d + e*x)^(1/2)*(64*A^2*b^6*c^15*d^18*e^2 - 576*A^2*b^7*c^14*d^17*e^3 + 2228*A^2*b^8*c^13*d^16*e^4 - 4768*A^2*b^9*c^12*d^15*e^5 + 5960*A^2*b^10*c^11*d^14*e^6 - 3976*A^2*b^11*c^10*d^13*e^7 + 578*A^2*b^12*c^9*d^12*e^8 + 1004*A^2*b^13*c^8*d^11*e^9 - 442*A^2*b^14*c^7*d^10*e^10 - 320*A^2*b^15*c^6*d^9*e^11 + 362*A^2*b^16*c^5*d^8*e^12 - 132*A^2*b^17*c^4*d^7*e^13 + 18*A^2*b^18*c^3*d^6*e^14 + 16*B^2*b^8*c^13*d^18*e^2 - 168*B^2*b^9*c^12*d^17*e^3 + 770*B^2*b^10*c^11*d^16*e^4 - 2020*B^2*b^11*c^10*d^15*e^5 + 3350*B^2*b^12*c^9*d^14*e^6 - 3664*B^2*b^13*c^8*d^13*e^7 + 2678*B^2*b^14*c^7*d^12*e^8 - 1300*B^2*b^15*c^6*d^11*e^9 + 410*B^2*b^16*c^5*d^10*e^10 - 80*B^2*b^17*c^4*d^9*e^11 + 8*B^2*b^18*c^3*d^8*e^12 - 64*A*B*b^7*c^14*d^18*e^2 + 624*A*B*b^8*c^13*d^17*e^3 - 2636*A*B*b^9*c^12*d^16*e^4 + 6280*A*B*b^10*c^11*d^15*e^5 - 9140*A*B*b^11*c^10*d^14*e^6 + 8056*A*B*b^12*c^9*d^13*e^7 - 3620*A*B*b^13*c^8*d^12*e^8 - 224*A*B*b^14*c^7*d^11*e^9 + 1300*A*B*b^15*c^6*d^10*e^10 - 760*A*B*b^16*c^5*d^9*e^11 + 208*A*B*b^17*c^4*d^8*e^12 - 24*A*B*b^18*c^3*d^7*e^13) - ((-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(((-c^3*(b*e - c*d)^5)^(1/2)*(d + e*x)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*(16*b^12*c^13*d^21*e^2 - 168*b^13*c^12*d^20*e^3 + 800*b^14*c^11*d^19*e^4 - 2280*b^15*c^10*d^18*e^5 + 4320*b^16*c^9*d^17*e^6 - 5712*b^17*c^8*d^16*e^7 + 5376*b^18*c^7*d^15*e^8 - 3600*b^19*c^6*d^14*e^9 + 1680*b^20*c^5*d^13*e^10 - 520*b^21*c^4*d^12*e^11 + 96*b^22*c^3*d^11*e^12 - 8*b^23*c^2*d^10*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) - 8*A*b^10*c^13*d^19*e^3 + 76*A*b^11*c^12*d^18*e^4 - 300*A*b^12*c^11*d^17*e^5 + 612*A*b^13*c^10*d^16*e^6 - 576*A*b^14*c^9*d^15*e^7 - 168*A*b^15*c^8*d^14*e^8 + 1176*A*b^16*c^7*d^13*e^9 - 1560*A*b^17*c^6*d^12*e^10 + 1128*A*b^18*c^5*d^11*e^11 - 484*A*b^19*c^4*d^10*e^12 + 116*A*b^20*c^3*d^9*e^13 - 12*A*b^21*c^2*d^8*e^14 + 4*B*b^11*c^12*d^19*e^3 - 56*B*b^12*c^11*d^18*e^4 + 312*B*b^13*c^10*d^17*e^5 - 960*B*b^14*c^9*d^16*e^6 + 1848*B*b^15*c^8*d^15*e^7 - 2352*B*b^16*c^7*d^14*e^8 + 2016*B*b^17*c^6*d^13*e^9 - 1152*B*b^18*c^5*d^12*e^10 + 420*B*b^19*c^4*d^11*e^11 - 88*B*b^20*c^3*d^10*e^12 + 8*B*b^21*c^2*d^9*e^13))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)))*(-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d))/(2*(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4)) + 64*A^3*b^4*c^15*d^16*e^3 - 512*A^3*b^5*c^14*d^15*e^4 + 1804*A^3*b^6*c^13*d^14*e^5 - 3668*A^3*b^7*c^12*d^13*e^6 + 4606*A^3*b^8*c^11*d^12*e^7 - 3248*A^3*b^9*c^10*d^11*e^8 + 322*A^3*b^10*c^9*d^10*e^9 + 1756*A^3*b^11*c^8*d^9*e^10 - 1742*A^3*b^12*c^7*d^8*e^11 + 744*A^3*b^13*c^6*d^7*e^12 - 126*A^3*b^14*c^5*d^6*e^13 - 8*B^3*b^7*c^12*d^16*e^3 + 52*B^3*b^8*c^11*d^15*e^4 - 104*B^3*b^9*c^10*d^14*e^5 - 20*B^3*b^10*c^9*d^13*e^6 + 400*B^3*b^11*c^8*d^12*e^7 - 692*B^3*b^12*c^7*d^11*e^8 + 568*B^3*b^13*c^6*d^10*e^9 - 236*B^3*b^14*c^5*d^9*e^10 + 40*B^3*b^15*c^4*d^8*e^11 + 48*A*B^2*b^6*c^13*d^16*e^3 - 336*A*B^2*b^7*c^12*d^15*e^4 + 930*A*B^2*b^8*c^11*d^14*e^5 - 1332*A*B^2*b^9*c^10*d^13*e^6 + 1230*A*B^2*b^10*c^9*d^12*e^7 - 1248*A*B^2*b^11*c^8*d^11*e^8 + 1566*A*B^2*b^12*c^7*d^10*e^9 - 1380*A*B^2*b^13*c^6*d^9*e^10 + 642*A*B^2*b^14*c^5*d^8*e^11 - 120*A*B^2*b^15*c^4*d^7*e^12 - 96*A^2*B*b^5*c^14*d^16*e^3 + 720*A^2*B*b^6*c^13*d^15*e^4 - 2346*A^2*B*b^7*c^12*d^14*e^5 + 4524*A^2*B*b^8*c^11*d^13*e^6 - 6012*A^2*B*b^9*c^10*d^12*e^7 + 5916*A^2*B*b^10*c^9*d^11*e^8 - 4080*A^2*B*b^11*c^8*d^10*e^9 + 1476*A^2*B*b^12*c^7*d^9*e^10 + 156*A^2*B*b^13*c^6*d^8*e^11 - 348*A^2*B*b^14*c^5*d^7*e^12 + 90*A^2*B*b^15*c^4*d^6*e^13))*(-c^3*(b*e - c*d)^5)^(1/2)*(4*A*c^2*d + 5*B*b^2*e - 7*A*b*c*e - 2*B*b*c*d)*1i)/(b^8*e^5 - b^3*c^5*d^5 + 5*b^4*c^4*d^4*e - 10*b^5*c^3*d^3*e^2 + 10*b^6*c^2*d^2*e^3 - 5*b^7*c*d*e^4) - (atan((B^3*b^14*d^13*e^11*(d + e*x)^(1/2)*8i - A^3*b^14*d^10*e^14*(d + e*x)^(1/2)*27i + A^3*b^13*c*d^11*e^13*(d + e*x)^(1/2)*189i - B^3*b^13*c*d^14*e^10*(d + e*x)^(1/2)*88i + A^3*b^3*c^11*d^21*e^3*(d + e*x)^(1/2)*140i - A^3*b^4*c^10*d^20*e^4*(d + e*x)^(1/2)*1015i + A^3*b^5*c^9*d^19*e^5*(d + e*x)^(1/2)*2996i - A^3*b^6*c^8*d^18*e^6*(d + e*x)^(1/2)*4375i + A^3*b^7*c^7*d^17*e^7*(d + e*x)^(1/2)*2561i + A^3*b^8*c^6*d^16*e^8*(d + e*x)^(1/2)*1316i - A^3*b^9*c^5*d^15*e^9*(d + e*x)^(1/2)*3073i + A^3*b^10*c^4*d^14*e^10*(d + e*x)^(1/2)*1694i + A^3*b^11*c^3*d^13*e^11*(d + e*x)^(1/2)*35i - A^3*b^12*c^2*d^12*e^12*(d + e*x)^(1/2)*441i - B^3*b^5*c^9*d^22*e^2*(d + e*x)^(1/2)*30i + B^3*b^6*c^8*d^21*e^3*(d + e*x)^(1/2)*260i - B^3*b^7*c^7*d^20*e^4*(d + e*x)^(1/2)*970i + B^3*b^8*c^6*d^19*e^5*(d + e*x)^(1/2)*2048i - B^3*b^9*c^5*d^18*e^6*(d + e*x)^(1/2)*2698i + B^3*b^10*c^4*d^17*e^7*(d + e*x)^(1/2)*2300i - B^3*b^11*c^3*d^16*e^8*(d + e*x)^(1/2)*1270i + B^3*b^12*c^2*d^15*e^9*(d + e*x)^(1/2)*440i - A*B^2*b^14*d^12*e^12*(d + e*x)^(1/2)*36i + A^2*B*b^14*d^11*e^13*(d + e*x)^(1/2)*54i + A*B^2*b^13*c*d^13*e^11*(d + e*x)^(1/2)*348i - A^2*B*b^13*c*d^12*e^12*(d + e*x)^(1/2)*450i + A*B^2*b^4*c^10*d^22*e^2*(d + e*x)^(1/2)*120i - A*B^2*b^5*c^9*d^21*e^3*(d + e*x)^(1/2)*915i + A*B^2*b^6*c^8*d^20*e^4*(d + e*x)^(1/2)*2850i - A*B^2*b^7*c^7*d^19*e^5*(d + e*x)^(1/2)*4473i + A*B^2*b^8*c^6*d^18*e^6*(d + e*x)^(1/2)*3072i + A*B^2*b^9*c^5*d^17*e^7*(d + e*x)^(1/2)*951i - A*B^2*b^10*c^4*d^16*e^8*(d + e*x)^(1/2)*3690i + A*B^2*b^11*c^3*d^15*e^9*(d + e*x)^(1/2)*3225i - A*B^2*b^12*c^2*d^14*e^10*(d + e*x)^(1/2)*1452i - A^2*B*b^3*c^11*d^22*e^2*(d + e*x)^(1/2)*120i + A^2*B*b^4*c^10*d^21*e^3*(d + e*x)^(1/2)*720i - A^2*B*b^5*c^9*d^20*e^4*(d + e*x)^(1/2)*1380i - A^2*B*b^6*c^8*d^19*e^5*(d + e*x)^(1/2)*204i + A^2*B*b^7*c^7*d^18*e^6*(d + e*x)^(1/2)*4878i - A^2*B*b^8*c^6*d^17*e^7*(d + e*x)^(1/2)*8130i + A^2*B*b^9*c^5*d^16*e^8*(d + e*x)^(1/2)*5646i - A^2*B*b^10*c^4*d^15*e^9*(d + e*x)^(1/2)*450i - A^2*B*b^11*c^3*d^14*e^10*(d + e*x)^(1/2)*2046i + A^2*B*b^12*c^2*d^13*e^11*(d + e*x)^(1/2)*1482i)/(d^5*(d^5)^(1/2)*(d^5*(d^5*(2561*A^3*b^7*c^7*e^7 - d^5*(30*B^3*b^5*c^9*e^2 - 120*A*B^2*b^4*c^10*e^2 + 120*A^2*B*b^3*c^11*e^2) + 2300*B^3*b^10*c^4*e^7 + 140*A^3*b^3*c^11*d^4*e^3 - 1015*A^3*b^4*c^10*d^3*e^4 + 2996*A^3*b^5*c^9*d^2*e^5 + 260*B^3*b^6*c^8*d^4*e^3 - 970*B^3*b^7*c^7*d^3*e^4 + 2048*B^3*b^8*c^6*d^2*e^5 + 951*A*B^2*b^9*c^5*e^7 - 8130*A^2*B*b^8*c^6*e^7 - 4375*A^3*b^6*c^8*d*e^6 - 2698*B^3*b^9*c^5*d*e^6 - 915*A*B^2*b^5*c^9*d^4*e^3 + 2850*A*B^2*b^6*c^8*d^3*e^4 - 4473*A*B^2*b^7*c^7*d^2*e^5 + 720*A^2*B*b^4*c^10*d^4*e^3 - 1380*A^2*B*b^5*c^9*d^3*e^4 - 204*A^2*B*b^6*c^8*d^2*e^5 + 3072*A*B^2*b^8*c^6*d*e^6 + 4878*A^2*B*b^7*c^7*d*e^6) - 441*A^3*b^12*c^2*e^12 - 36*A*B^2*b^14*e^12 + 8*B^3*b^14*d*e^11 + 1316*A^3*b^8*c^6*d^4*e^8 - 3073*A^3*b^9*c^5*d^3*e^9 + 1694*A^3*b^10*c^4*d^2*e^10 - 1270*B^3*b^11*c^3*d^4*e^8 + 440*B^3*b^12*c^2*d^3*e^9 - 450*A^2*B*b^13*c*e^12 + 35*A^3*b^11*c^3*d*e^11 - 88*B^3*b^13*c*d^2*e^10 - 3690*A*B^2*b^10*c^4*d^4*e^8 + 3225*A*B^2*b^11*c^3*d^3*e^9 - 1452*A*B^2*b^12*c^2*d^2*e^10 + 5646*A^2*B*b^9*c^5*d^4*e^8 - 450*A^2*B*b^10*c^4*d^3*e^9 - 2046*A^2*B*b^11*c^3*d^2*e^10 + 348*A*B^2*b^13*c*d*e^11 + 1482*A^2*B*b^12*c^2*d*e^11) - 27*A^3*b^14*d^3*e^14 + 54*A^2*B*b^14*d^4*e^13 + 189*A^3*b^13*c*d^4*e^13)))*(3*A*b*e + 4*A*c*d - 2*B*b*d)*1i)/(b^3*(d^5)^(1/2)) - ((2*(A*e^3 - B*d*e^2))/(c*d^2 - b*d*e) + ((d + e*x)*(3*A*b^3*e^4 - 2*A*c^3*d^3*e - 2*B*b^3*d*e^3 + 3*A*b*c^2*d^2*e^2 + 4*B*b^2*c*d^2*e^2 - 7*A*b^2*c*d*e^3 + B*b*c^2*d^3*e))/(b^2*(c*d^2 - b*d*e)^2) - ((d + e*x)^2*(2*A*b*c^2*d*e^2 - 2*A*c^3*d^2*e - 3*A*b^2*c*e^3 + B*b*c^2*d^2*e + 2*B*b^2*c*d*e^2))/(b^2*(c*d^2 - b*d*e)^2))/(c*(d + e*x)^(5/2) + (c*d^2 - b*d*e)*(d + e*x)^(1/2) + (b*e - 2*c*d)*(d + e*x)^(3/2))","B"
1245,1,18450,344,6.095245,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^(5/2)),x)","\ln\left(\left(\sqrt{\frac{25\,A^2\,b^2\,e^2+40\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-20\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^7}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{25\,A^2\,b^2\,e^2+40\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-20\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^7}}\,\left(8\,b^{28}\,c^2\,d^{15}\,e^{18}-136\,b^{27}\,c^3\,d^{16}\,e^{17}+1080\,b^{26}\,c^4\,d^{17}\,e^{16}-5320\,b^{25}\,c^5\,d^{18}\,e^{15}+18200\,b^{24}\,c^6\,d^{19}\,e^{14}-45864\,b^{23}\,c^7\,d^{20}\,e^{13}+88088\,b^{22}\,c^8\,d^{21}\,e^{12}-131560\,b^{21}\,c^9\,d^{22}\,e^{11}+154440\,b^{20}\,c^{10}\,d^{23}\,e^{10}-143000\,b^{19}\,c^{11}\,d^{24}\,e^9+104104\,b^{18}\,c^{12}\,d^{25}\,e^8-58968\,b^{17}\,c^{13}\,d^{26}\,e^7+25480\,b^{16}\,c^{14}\,d^{27}\,e^6-8120\,b^{15}\,c^{15}\,d^{28}\,e^5+1800\,b^{14}\,c^{16}\,d^{29}\,e^4-248\,b^{13}\,c^{17}\,d^{30}\,e^3+16\,b^{12}\,c^{18}\,d^{31}\,e^2\right)-8\,A\,b^{10}\,c^{18}\,d^{28}\,e^3+112\,A\,b^{11}\,c^{17}\,d^{27}\,e^4-664\,A\,b^{12}\,c^{16}\,d^{26}\,e^5+2080\,A\,b^{13}\,c^{15}\,d^{25}\,e^6-2996\,A\,b^{14}\,c^{14}\,d^{24}\,e^7-2528\,A\,b^{15}\,c^{13}\,d^{23}\,e^8+23056\,A\,b^{16}\,c^{12}\,d^{22}\,e^9-59312\,A\,b^{17}\,c^{11}\,d^{21}\,e^{10}+95700\,A\,b^{18}\,c^{10}\,d^{20}\,e^{11}-109648\,A\,b^{19}\,c^9\,d^{19}\,e^{12}+92840\,A\,b^{20}\,c^8\,d^{18}\,e^{13}-58688\,A\,b^{21}\,c^7\,d^{17}\,e^{14}+27476\,A\,b^{22}\,c^6\,d^{16}\,e^{15}-9280\,A\,b^{23}\,c^5\,d^{15}\,e^{16}+2144\,A\,b^{24}\,c^4\,d^{14}\,e^{17}-304\,A\,b^{25}\,c^3\,d^{13}\,e^{18}+20\,A\,b^{26}\,c^2\,d^{12}\,e^{19}+4\,B\,b^{11}\,c^{17}\,d^{28}\,e^3-96\,B\,b^{12}\,c^{16}\,d^{27}\,e^4+872\,B\,b^{13}\,c^{15}\,d^{26}\,e^5-4440\,B\,b^{14}\,c^{14}\,d^{25}\,e^6+14748\,B\,b^{15}\,c^{13}\,d^{24}\,e^7-34496\,B\,b^{16}\,c^{12}\,d^{23}\,e^8+59312\,B\,b^{17}\,c^{11}\,d^{22}\,e^9-76824\,B\,b^{18}\,c^{10}\,d^{21}\,e^{10}+75900\,B\,b^{19}\,c^9\,d^{20}\,e^{11}-57376\,B\,b^{20}\,c^8\,d^{19}\,e^{12}+33000\,B\,b^{21}\,c^7\,d^{18}\,e^{13}-14216\,B\,b^{22}\,c^6\,d^{17}\,e^{14}+4452\,B\,b^{23}\,c^5\,d^{16}\,e^{15}-960\,B\,b^{24}\,c^4\,d^{15}\,e^{16}+128\,B\,b^{25}\,c^3\,d^{14}\,e^{17}-8\,B\,b^{26}\,c^2\,d^{13}\,e^{18}\right)-\sqrt{d+e\,x}\,\left(-50\,A^2\,b^{23}\,c^3\,d^9\,e^{19}+670\,A^2\,b^{22}\,c^4\,d^{10}\,e^{18}-4082\,A^2\,b^{21}\,c^5\,d^{11}\,e^{17}+14830\,A^2\,b^{20}\,c^6\,d^{12}\,e^{16}-35210\,A^2\,b^{19}\,c^7\,d^{13}\,e^{15}+55510\,A^2\,b^{18}\,c^8\,d^{14}\,e^{14}-53852\,A^2\,b^{17}\,c^9\,d^{15}\,e^{13}+19048\,A^2\,b^{16}\,c^{10}\,d^{16}\,e^{12}+25730\,A^2\,b^{15}\,c^{11}\,d^{17}\,e^{11}-39550\,A^2\,b^{14}\,c^{12}\,d^{18}\,e^{10}+10670\,A^2\,b^{13}\,c^{13}\,d^{19}\,e^9+29414\,A^2\,b^{12}\,c^{14}\,d^{20}\,e^8-45430\,A^2\,b^{11}\,c^{15}\,d^{21}\,e^7+34490\,A^2\,b^{10}\,c^{16}\,d^{22}\,e^6-16240\,A^2\,b^9\,c^{17}\,d^{23}\,e^5+4820\,A^2\,b^8\,c^{18}\,d^{24}\,e^4-832\,A^2\,b^7\,c^{19}\,d^{25}\,e^3+64\,A^2\,b^6\,c^{20}\,d^{26}\,e^2+40\,A\,B\,b^{23}\,c^3\,d^{10}\,e^{18}-568\,A\,B\,b^{22}\,c^4\,d^{11}\,e^{17}+3720\,A\,B\,b^{21}\,c^5\,d^{12}\,e^{16}-14840\,A\,B\,b^{20}\,c^6\,d^{13}\,e^{15}+40040\,A\,B\,b^{19}\,c^7\,d^{14}\,e^{14}-76188\,A\,B\,b^{18}\,c^8\,d^{15}\,e^{13}+101652\,A\,B\,b^{17}\,c^9\,d^{16}\,e^{12}-86480\,A\,B\,b^{16}\,c^{10}\,d^{17}\,e^{11}+23400\,A\,B\,b^{15}\,c^{11}\,d^{18}\,e^{10}+54080\,A\,B\,b^{14}\,c^{12}\,d^{19}\,e^9-97664\,A\,B\,b^{13}\,c^{13}\,d^{20}\,e^8+89880\,A\,B\,b^{12}\,c^{14}\,d^{21}\,e^7-54040\,A\,B\,b^{11}\,c^{15}\,d^{22}\,e^6+21940\,A\,B\,b^{10}\,c^{16}\,d^{23}\,e^5-5820\,A\,B\,b^9\,c^{17}\,d^{24}\,e^4+912\,A\,B\,b^8\,c^{18}\,d^{25}\,e^3-64\,A\,B\,b^7\,c^{19}\,d^{26}\,e^2-8\,B^2\,b^{23}\,c^3\,d^{11}\,e^{17}+120\,B^2\,b^{22}\,c^4\,d^{12}\,e^{16}-840\,B^2\,b^{21}\,c^5\,d^{13}\,e^{15}+3640\,B^2\,b^{20}\,c^6\,d^{14}\,e^{14}-11018\,B^2\,b^{19}\,c^7\,d^{15}\,e^{13}+24962\,B^2\,b^{18}\,c^8\,d^{16}\,e^{12}-44080\,B^2\,b^{17}\,c^9\,d^{17}\,e^{11}+61800\,B^2\,b^{16}\,c^{10}\,d^{18}\,e^{10}-68820\,B^2\,b^{15}\,c^{11}\,d^{19}\,e^9+60116\,B^2\,b^{14}\,c^{12}\,d^{20}\,e^8-40320\,B^2\,b^{13}\,c^{13}\,d^{21}\,e^7+20160\,B^2\,b^{12}\,c^{14}\,d^{22}\,e^6-7210\,B^2\,b^{11}\,c^{15}\,d^{23}\,e^5+1730\,B^2\,b^{10}\,c^{16}\,d^{24}\,e^4-248\,B^2\,b^9\,c^{17}\,d^{25}\,e^3+16\,B^2\,b^8\,c^{18}\,d^{26}\,e^2\right)\right)\,\sqrt{\frac{25\,A^2\,b^2\,e^2+40\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-20\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^7}}+32\,A^3\,b^4\,c^{20}\,d^{23}\,e^3-368\,A^3\,b^5\,c^{19}\,d^{22}\,e^4+2006\,A^3\,b^6\,c^{18}\,d^{21}\,e^5-6895\,A^3\,b^7\,c^{17}\,d^{20}\,e^6+16250\,A^3\,b^8\,c^{16}\,d^{19}\,e^7-25764\,A^3\,b^9\,c^{15}\,d^{18}\,e^8+22851\,A^3\,b^{10}\,c^{14}\,d^{17}\,e^9+2958\,A^3\,b^{11}\,c^{13}\,d^{16}\,e^{10}-41520\,A^3\,b^{12}\,c^{12}\,d^{15}\,e^{11}+64900\,A^3\,b^{13}\,c^{11}\,d^{14}\,e^{12}-57568\,A^3\,b^{14}\,c^{10}\,d^{13}\,e^{13}+32617\,A^3\,b^{15}\,c^9\,d^{12}\,e^{14}-11714\,A^3\,b^{16}\,c^8\,d^{11}\,e^{15}+2440\,A^3\,b^{17}\,c^7\,d^{10}\,e^{16}-225\,A^3\,b^{18}\,c^6\,d^9\,e^{17}-4\,B^3\,b^7\,c^{17}\,d^{23}\,e^3+26\,B^3\,b^8\,c^{16}\,d^{22}\,e^4+38\,B^3\,b^9\,c^{15}\,d^{21}\,e^5-880\,B^3\,b^{10}\,c^{14}\,d^{20}\,e^6+3900\,B^3\,b^{11}\,c^{13}\,d^{19}\,e^7-9492\,B^3\,b^{12}\,c^{12}\,d^{18}\,e^8+14868\,B^3\,b^{13}\,c^{11}\,d^{17}\,e^9-15816\,B^3\,b^{14}\,c^{10}\,d^{16}\,e^{10}+11580\,B^3\,b^{15}\,c^9\,d^{15}\,e^{11}-5750\,B^3\,b^{16}\,c^8\,d^{14}\,e^{12}+1846\,B^3\,b^{17}\,c^7\,d^{13}\,e^{13}-344\,B^3\,b^{18}\,c^6\,d^{12}\,e^{14}+28\,B^3\,b^{19}\,c^5\,d^{11}\,e^{15}+24\,A\,B^2\,b^6\,c^{18}\,d^{23}\,e^3-196\,A\,B^2\,b^7\,c^{17}\,d^{22}\,e^4+487\,A\,B^2\,b^8\,c^{16}\,d^{21}\,e^5+165\,A\,B^2\,b^9\,c^{15}\,d^{20}\,e^6-2800\,A\,B^2\,b^{10}\,c^{14}\,d^{19}\,e^7+3552\,A\,B^2\,b^{11}\,c^{13}\,d^{18}\,e^8+5922\,A\,B^2\,b^{12}\,c^{12}\,d^{17}\,e^9-25434\,A\,B^2\,b^{13}\,c^{11}\,d^{16}\,e^{10}+39900\,A\,B^2\,b^{14}\,c^{10}\,d^{15}\,e^{11}-36600\,A\,B^2\,b^{15}\,c^9\,d^{14}\,e^{12}+21199\,A\,B^2\,b^{16}\,c^8\,d^{13}\,e^{13}-7651\,A\,B^2\,b^{17}\,c^7\,d^{12}\,e^{14}+1572\,A\,B^2\,b^{18}\,c^6\,d^{11}\,e^{15}-140\,A\,B^2\,b^{19}\,c^5\,d^{10}\,e^{16}-48\,A^2\,B\,b^5\,c^{19}\,d^{23}\,e^3+472\,A^2\,B\,b^6\,c^{18}\,d^{22}\,e^4-2129\,A^2\,B\,b^7\,c^{17}\,d^{21}\,e^5+6450\,A^2\,B\,b^8\,c^{16}\,d^{20}\,e^6-16250\,A^2\,B\,b^9\,c^{15}\,d^{19}\,e^7+35246\,A^2\,B\,b^{10}\,c^{14}\,d^{18}\,e^8-59679\,A^2\,B\,b^{11}\,c^{13}\,d^{17}\,e^9+71028\,A^2\,B\,b^{12}\,c^{12}\,d^{16}\,e^{10}-52860\,A^2\,B\,b^{13}\,c^{11}\,d^{15}\,e^{11}+16500\,A^2\,B\,b^{14}\,c^{10}\,d^{14}\,e^{12}+9377\,A^2\,B\,b^{15}\,c^9\,d^{13}\,e^{13}-13318\,A^2\,B\,b^{16}\,c^8\,d^{12}\,e^{14}+6726\,A^2\,B\,b^{17}\,c^7\,d^{11}\,e^{15}-1690\,A^2\,B\,b^{18}\,c^6\,d^{10}\,e^{16}+175\,A^2\,B\,b^{19}\,c^5\,d^9\,e^{17}\right)\,\sqrt{\frac{25\,A^2\,b^2\,e^2+40\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-20\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^7}}-\ln\left(32\,A^3\,b^4\,c^{20}\,d^{23}\,e^3-\left(\sqrt{\frac{\frac{25\,A^2\,b^2\,e^2}{4}+10\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-5\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^7}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{\frac{25\,A^2\,b^2\,e^2}{4}+10\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-5\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^7}}\,\left(8\,b^{28}\,c^2\,d^{15}\,e^{18}-136\,b^{27}\,c^3\,d^{16}\,e^{17}+1080\,b^{26}\,c^4\,d^{17}\,e^{16}-5320\,b^{25}\,c^5\,d^{18}\,e^{15}+18200\,b^{24}\,c^6\,d^{19}\,e^{14}-45864\,b^{23}\,c^7\,d^{20}\,e^{13}+88088\,b^{22}\,c^8\,d^{21}\,e^{12}-131560\,b^{21}\,c^9\,d^{22}\,e^{11}+154440\,b^{20}\,c^{10}\,d^{23}\,e^{10}-143000\,b^{19}\,c^{11}\,d^{24}\,e^9+104104\,b^{18}\,c^{12}\,d^{25}\,e^8-58968\,b^{17}\,c^{13}\,d^{26}\,e^7+25480\,b^{16}\,c^{14}\,d^{27}\,e^6-8120\,b^{15}\,c^{15}\,d^{28}\,e^5+1800\,b^{14}\,c^{16}\,d^{29}\,e^4-248\,b^{13}\,c^{17}\,d^{30}\,e^3+16\,b^{12}\,c^{18}\,d^{31}\,e^2\right)+8\,A\,b^{10}\,c^{18}\,d^{28}\,e^3-112\,A\,b^{11}\,c^{17}\,d^{27}\,e^4+664\,A\,b^{12}\,c^{16}\,d^{26}\,e^5-2080\,A\,b^{13}\,c^{15}\,d^{25}\,e^6+2996\,A\,b^{14}\,c^{14}\,d^{24}\,e^7+2528\,A\,b^{15}\,c^{13}\,d^{23}\,e^8-23056\,A\,b^{16}\,c^{12}\,d^{22}\,e^9+59312\,A\,b^{17}\,c^{11}\,d^{21}\,e^{10}-95700\,A\,b^{18}\,c^{10}\,d^{20}\,e^{11}+109648\,A\,b^{19}\,c^9\,d^{19}\,e^{12}-92840\,A\,b^{20}\,c^8\,d^{18}\,e^{13}+58688\,A\,b^{21}\,c^7\,d^{17}\,e^{14}-27476\,A\,b^{22}\,c^6\,d^{16}\,e^{15}+9280\,A\,b^{23}\,c^5\,d^{15}\,e^{16}-2144\,A\,b^{24}\,c^4\,d^{14}\,e^{17}+304\,A\,b^{25}\,c^3\,d^{13}\,e^{18}-20\,A\,b^{26}\,c^2\,d^{12}\,e^{19}-4\,B\,b^{11}\,c^{17}\,d^{28}\,e^3+96\,B\,b^{12}\,c^{16}\,d^{27}\,e^4-872\,B\,b^{13}\,c^{15}\,d^{26}\,e^5+4440\,B\,b^{14}\,c^{14}\,d^{25}\,e^6-14748\,B\,b^{15}\,c^{13}\,d^{24}\,e^7+34496\,B\,b^{16}\,c^{12}\,d^{23}\,e^8-59312\,B\,b^{17}\,c^{11}\,d^{22}\,e^9+76824\,B\,b^{18}\,c^{10}\,d^{21}\,e^{10}-75900\,B\,b^{19}\,c^9\,d^{20}\,e^{11}+57376\,B\,b^{20}\,c^8\,d^{19}\,e^{12}-33000\,B\,b^{21}\,c^7\,d^{18}\,e^{13}+14216\,B\,b^{22}\,c^6\,d^{17}\,e^{14}-4452\,B\,b^{23}\,c^5\,d^{16}\,e^{15}+960\,B\,b^{24}\,c^4\,d^{15}\,e^{16}-128\,B\,b^{25}\,c^3\,d^{14}\,e^{17}+8\,B\,b^{26}\,c^2\,d^{13}\,e^{18}\right)-\sqrt{d+e\,x}\,\left(-50\,A^2\,b^{23}\,c^3\,d^9\,e^{19}+670\,A^2\,b^{22}\,c^4\,d^{10}\,e^{18}-4082\,A^2\,b^{21}\,c^5\,d^{11}\,e^{17}+14830\,A^2\,b^{20}\,c^6\,d^{12}\,e^{16}-35210\,A^2\,b^{19}\,c^7\,d^{13}\,e^{15}+55510\,A^2\,b^{18}\,c^8\,d^{14}\,e^{14}-53852\,A^2\,b^{17}\,c^9\,d^{15}\,e^{13}+19048\,A^2\,b^{16}\,c^{10}\,d^{16}\,e^{12}+25730\,A^2\,b^{15}\,c^{11}\,d^{17}\,e^{11}-39550\,A^2\,b^{14}\,c^{12}\,d^{18}\,e^{10}+10670\,A^2\,b^{13}\,c^{13}\,d^{19}\,e^9+29414\,A^2\,b^{12}\,c^{14}\,d^{20}\,e^8-45430\,A^2\,b^{11}\,c^{15}\,d^{21}\,e^7+34490\,A^2\,b^{10}\,c^{16}\,d^{22}\,e^6-16240\,A^2\,b^9\,c^{17}\,d^{23}\,e^5+4820\,A^2\,b^8\,c^{18}\,d^{24}\,e^4-832\,A^2\,b^7\,c^{19}\,d^{25}\,e^3+64\,A^2\,b^6\,c^{20}\,d^{26}\,e^2+40\,A\,B\,b^{23}\,c^3\,d^{10}\,e^{18}-568\,A\,B\,b^{22}\,c^4\,d^{11}\,e^{17}+3720\,A\,B\,b^{21}\,c^5\,d^{12}\,e^{16}-14840\,A\,B\,b^{20}\,c^6\,d^{13}\,e^{15}+40040\,A\,B\,b^{19}\,c^7\,d^{14}\,e^{14}-76188\,A\,B\,b^{18}\,c^8\,d^{15}\,e^{13}+101652\,A\,B\,b^{17}\,c^9\,d^{16}\,e^{12}-86480\,A\,B\,b^{16}\,c^{10}\,d^{17}\,e^{11}+23400\,A\,B\,b^{15}\,c^{11}\,d^{18}\,e^{10}+54080\,A\,B\,b^{14}\,c^{12}\,d^{19}\,e^9-97664\,A\,B\,b^{13}\,c^{13}\,d^{20}\,e^8+89880\,A\,B\,b^{12}\,c^{14}\,d^{21}\,e^7-54040\,A\,B\,b^{11}\,c^{15}\,d^{22}\,e^6+21940\,A\,B\,b^{10}\,c^{16}\,d^{23}\,e^5-5820\,A\,B\,b^9\,c^{17}\,d^{24}\,e^4+912\,A\,B\,b^8\,c^{18}\,d^{25}\,e^3-64\,A\,B\,b^7\,c^{19}\,d^{26}\,e^2-8\,B^2\,b^{23}\,c^3\,d^{11}\,e^{17}+120\,B^2\,b^{22}\,c^4\,d^{12}\,e^{16}-840\,B^2\,b^{21}\,c^5\,d^{13}\,e^{15}+3640\,B^2\,b^{20}\,c^6\,d^{14}\,e^{14}-11018\,B^2\,b^{19}\,c^7\,d^{15}\,e^{13}+24962\,B^2\,b^{18}\,c^8\,d^{16}\,e^{12}-44080\,B^2\,b^{17}\,c^9\,d^{17}\,e^{11}+61800\,B^2\,b^{16}\,c^{10}\,d^{18}\,e^{10}-68820\,B^2\,b^{15}\,c^{11}\,d^{19}\,e^9+60116\,B^2\,b^{14}\,c^{12}\,d^{20}\,e^8-40320\,B^2\,b^{13}\,c^{13}\,d^{21}\,e^7+20160\,B^2\,b^{12}\,c^{14}\,d^{22}\,e^6-7210\,B^2\,b^{11}\,c^{15}\,d^{23}\,e^5+1730\,B^2\,b^{10}\,c^{16}\,d^{24}\,e^4-248\,B^2\,b^9\,c^{17}\,d^{25}\,e^3+16\,B^2\,b^8\,c^{18}\,d^{26}\,e^2\right)\right)\,\sqrt{\frac{\frac{25\,A^2\,b^2\,e^2}{4}+10\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-5\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^7}}-368\,A^3\,b^5\,c^{19}\,d^{22}\,e^4+2006\,A^3\,b^6\,c^{18}\,d^{21}\,e^5-6895\,A^3\,b^7\,c^{17}\,d^{20}\,e^6+16250\,A^3\,b^8\,c^{16}\,d^{19}\,e^7-25764\,A^3\,b^9\,c^{15}\,d^{18}\,e^8+22851\,A^3\,b^{10}\,c^{14}\,d^{17}\,e^9+2958\,A^3\,b^{11}\,c^{13}\,d^{16}\,e^{10}-41520\,A^3\,b^{12}\,c^{12}\,d^{15}\,e^{11}+64900\,A^3\,b^{13}\,c^{11}\,d^{14}\,e^{12}-57568\,A^3\,b^{14}\,c^{10}\,d^{13}\,e^{13}+32617\,A^3\,b^{15}\,c^9\,d^{12}\,e^{14}-11714\,A^3\,b^{16}\,c^8\,d^{11}\,e^{15}+2440\,A^3\,b^{17}\,c^7\,d^{10}\,e^{16}-225\,A^3\,b^{18}\,c^6\,d^9\,e^{17}-4\,B^3\,b^7\,c^{17}\,d^{23}\,e^3+26\,B^3\,b^8\,c^{16}\,d^{22}\,e^4+38\,B^3\,b^9\,c^{15}\,d^{21}\,e^5-880\,B^3\,b^{10}\,c^{14}\,d^{20}\,e^6+3900\,B^3\,b^{11}\,c^{13}\,d^{19}\,e^7-9492\,B^3\,b^{12}\,c^{12}\,d^{18}\,e^8+14868\,B^3\,b^{13}\,c^{11}\,d^{17}\,e^9-15816\,B^3\,b^{14}\,c^{10}\,d^{16}\,e^{10}+11580\,B^3\,b^{15}\,c^9\,d^{15}\,e^{11}-5750\,B^3\,b^{16}\,c^8\,d^{14}\,e^{12}+1846\,B^3\,b^{17}\,c^7\,d^{13}\,e^{13}-344\,B^3\,b^{18}\,c^6\,d^{12}\,e^{14}+28\,B^3\,b^{19}\,c^5\,d^{11}\,e^{15}+24\,A\,B^2\,b^6\,c^{18}\,d^{23}\,e^3-196\,A\,B^2\,b^7\,c^{17}\,d^{22}\,e^4+487\,A\,B^2\,b^8\,c^{16}\,d^{21}\,e^5+165\,A\,B^2\,b^9\,c^{15}\,d^{20}\,e^6-2800\,A\,B^2\,b^{10}\,c^{14}\,d^{19}\,e^7+3552\,A\,B^2\,b^{11}\,c^{13}\,d^{18}\,e^8+5922\,A\,B^2\,b^{12}\,c^{12}\,d^{17}\,e^9-25434\,A\,B^2\,b^{13}\,c^{11}\,d^{16}\,e^{10}+39900\,A\,B^2\,b^{14}\,c^{10}\,d^{15}\,e^{11}-36600\,A\,B^2\,b^{15}\,c^9\,d^{14}\,e^{12}+21199\,A\,B^2\,b^{16}\,c^8\,d^{13}\,e^{13}-7651\,A\,B^2\,b^{17}\,c^7\,d^{12}\,e^{14}+1572\,A\,B^2\,b^{18}\,c^6\,d^{11}\,e^{15}-140\,A\,B^2\,b^{19}\,c^5\,d^{10}\,e^{16}-48\,A^2\,B\,b^5\,c^{19}\,d^{23}\,e^3+472\,A^2\,B\,b^6\,c^{18}\,d^{22}\,e^4-2129\,A^2\,B\,b^7\,c^{17}\,d^{21}\,e^5+6450\,A^2\,B\,b^8\,c^{16}\,d^{20}\,e^6-16250\,A^2\,B\,b^9\,c^{15}\,d^{19}\,e^7+35246\,A^2\,B\,b^{10}\,c^{14}\,d^{18}\,e^8-59679\,A^2\,B\,b^{11}\,c^{13}\,d^{17}\,e^9+71028\,A^2\,B\,b^{12}\,c^{12}\,d^{16}\,e^{10}-52860\,A^2\,B\,b^{13}\,c^{11}\,d^{15}\,e^{11}+16500\,A^2\,B\,b^{14}\,c^{10}\,d^{14}\,e^{12}+9377\,A^2\,B\,b^{15}\,c^9\,d^{13}\,e^{13}-13318\,A^2\,B\,b^{16}\,c^8\,d^{12}\,e^{14}+6726\,A^2\,B\,b^{17}\,c^7\,d^{11}\,e^{15}-1690\,A^2\,B\,b^{18}\,c^6\,d^{10}\,e^{16}+175\,A^2\,B\,b^{19}\,c^5\,d^9\,e^{17}\right)\,\sqrt{\frac{\frac{25\,A^2\,b^2\,e^2}{4}+10\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-5\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^7}}-\frac{\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{3\,\left(c\,d^2-b\,d\,e\right)}-\frac{2\,\left(d+e\,x\right)\,\left(5\,A\,b\,e^4-10\,A\,c\,d\,e^3-2\,B\,b\,d\,e^3+7\,B\,c\,d^2\,e^2\right)}{3\,{\left(c\,d^2-b\,d\,e\right)}^2}+\frac{{\left(d+e\,x\right)}^2\,\left(6\,B\,b^4\,d\,e^4-15\,A\,b^4\,e^5-28\,B\,b^3\,c\,d^2\,e^3+58\,A\,b^3\,c\,d\,e^4+34\,B\,b^2\,c^2\,d^3\,e^2-64\,A\,b^2\,c^2\,d^2\,e^3+3\,B\,b\,c^3\,d^4\,e+12\,A\,b\,c^3\,d^3\,e^2-6\,A\,c^4\,d^4\,e\right)}{3\,b^2\,{\left(c\,d^2-b\,d\,e\right)}^3}-\frac{{\left(d+e\,x\right)}^3\,\left(-2\,B\,b^3\,c\,d\,e^3+5\,A\,b^3\,c\,e^4+6\,B\,b^2\,c^2\,d^2\,e^2-11\,A\,b^2\,c^2\,d\,e^3+B\,b\,c^3\,d^3\,e+3\,A\,b\,c^3\,d^2\,e^2-2\,A\,c^4\,d^3\,e\right)}{b^2\,{\left(c\,d^2-b\,d\,e\right)}^3}}{c\,{\left(d+e\,x\right)}^{7/2}+\left(c\,d^2-b\,d\,e\right)\,{\left(d+e\,x\right)}^{3/2}+\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}}+\mathrm{atan}\left(\frac{A^2\,c^{13}\,d^{12}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,32{}\mathrm{i}-b^6\,c^{11}\,d^{17}\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,2{}\mathrm{i}+b^{17}\,d^6\,e^{11}\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+B^2\,b^2\,c^{11}\,d^{12}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,8{}\mathrm{i}-b^8\,c^9\,d^{15}\,e^2\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,100{}\mathrm{i}+b^9\,c^8\,d^{14}\,e^3\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,285{}\mathrm{i}-b^{10}\,c^7\,d^{13}\,e^4\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,540{}\mathrm{i}+b^{11}\,c^6\,d^{12}\,e^5\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,714{}\mathrm{i}-b^{12}\,c^5\,d^{11}\,e^6\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,672{}\mathrm{i}+b^{13}\,c^4\,d^{10}\,e^7\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,450{}\mathrm{i}-b^{14}\,c^3\,d^9\,e^8\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,210{}\mathrm{i}+b^{15}\,c^2\,d^8\,e^9\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,65{}\mathrm{i}+A^2\,b^{12}\,c\,e^{12}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,25{}\mathrm{i}+b^7\,c^{10}\,d^{16}\,e\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,21{}\mathrm{i}-b^{16}\,c\,d^7\,e^{10}\,{\left(-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}\right)}^{3/2}\,\sqrt{d+e\,x}\,12{}\mathrm{i}-A^2\,b\,c^{12}\,d^{11}\,e\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,256{}\mathrm{i}-A^2\,b^{11}\,c^2\,d\,e^{11}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,210{}\mathrm{i}-B^2\,b^3\,c^{10}\,d^{11}\,e\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,84{}\mathrm{i}+B^2\,b^{12}\,c\,d^2\,e^{10}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,4{}\mathrm{i}-A\,B\,b\,c^{12}\,d^{12}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,32{}\mathrm{i}+A^2\,b^2\,c^{11}\,d^{10}\,e^2\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,810{}\mathrm{i}-A^2\,b^3\,c^{10}\,d^9\,e^3\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1190{}\mathrm{i}+A^2\,b^4\,c^9\,d^8\,e^4\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,475{}\mathrm{i}+A^2\,b^5\,c^8\,d^7\,e^5\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,972{}\mathrm{i}-A^2\,b^6\,c^7\,d^6\,e^6\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1389{}\mathrm{i}+A^2\,b^7\,c^6\,d^5\,e^7\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,180{}\mathrm{i}+A^2\,b^8\,c^5\,d^4\,e^8\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1170{}\mathrm{i}-A^2\,b^9\,c^4\,d^3\,e^9\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1360{}\mathrm{i}+A^2\,b^{10}\,c^3\,d^2\,e^{10}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,741{}\mathrm{i}+B^2\,b^4\,c^9\,d^{10}\,e^2\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,365{}\mathrm{i}-B^2\,b^5\,c^8\,d^9\,e^3\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,860{}\mathrm{i}+B^2\,b^6\,c^7\,d^8\,e^4\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1250{}\mathrm{i}-B^2\,b^7\,c^6\,d^7\,e^5\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1232{}\mathrm{i}+B^2\,b^8\,c^5\,d^6\,e^6\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,889{}\mathrm{i}-B^2\,b^9\,c^4\,d^5\,e^7\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,480{}\mathrm{i}+B^2\,b^{10}\,c^3\,d^4\,e^8\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,180{}\mathrm{i}-B^2\,b^{11}\,c^2\,d^3\,e^9\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,40{}\mathrm{i}-A\,B\,b^{12}\,c\,d\,e^{11}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,20{}\mathrm{i}+A\,B\,b^2\,c^{11}\,d^{11}\,e\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,296{}\mathrm{i}-A\,B\,b^3\,c^{10}\,d^{10}\,e^2\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1110{}\mathrm{i}+A\,B\,b^4\,c^9\,d^9\,e^3\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,2140{}\mathrm{i}-A\,B\,b^5\,c^8\,d^8\,e^4\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,2100{}\mathrm{i}+A\,B\,b^6\,c^7\,d^7\,e^5\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,428{}\mathrm{i}+A\,B\,b^7\,c^6\,d^6\,e^6\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1554{}\mathrm{i}-A\,B\,b^8\,c^5\,d^5\,e^7\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,2280{}\mathrm{i}+A\,B\,b^9\,c^4\,d^4\,e^8\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,1680{}\mathrm{i}-A\,B\,b^{10}\,c^3\,d^3\,e^9\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,740{}\mathrm{i}+A\,B\,b^{11}\,c^2\,d^2\,e^{10}\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7}}\,\sqrt{d+e\,x}\,184{}\mathrm{i}}{225\,A^3\,b^7\,c^4\,e^{10}-1315\,A^3\,b^6\,c^5\,d\,e^9+2889\,A^3\,b^5\,c^6\,d^2\,e^8-2367\,A^3\,b^4\,c^7\,d^3\,e^7-1113\,A^3\,b^3\,c^8\,d^4\,e^6+3591\,A^3\,b^2\,c^9\,d^5\,e^5-2205\,A^3\,b\,c^{10}\,d^6\,e^4+420\,A^3\,c^{11}\,d^7\,e^3-175\,A^2\,B\,b^8\,c^3\,e^{10}+815\,A^2\,B\,b^7\,c^4\,d\,e^9-901\,A^2\,B\,b^6\,c^5\,d^2\,e^8-1717\,A^2\,B\,b^5\,c^6\,d^3\,e^7+5537\,A^2\,B\,b^4\,c^7\,d^4\,e^6-5299\,A^2\,B\,b^3\,c^8\,d^5\,e^5+665\,A^2\,B\,b^2\,c^9\,d^6\,e^4+980\,A^2\,B\,b\,c^{10}\,d^7\,e^3-280\,A^2\,B\,c^{11}\,d^8\,e^2+140\,A\,B^2\,b^8\,c^3\,d\,e^9-872\,A\,B^2\,b^7\,c^4\,d^2\,e^8+2136\,A\,B^2\,b^6\,c^5\,d^3\,e^7-2296\,A\,B^2\,b^5\,c^6\,d^4\,e^6+112\,A\,B^2\,b^4\,c^7\,d^5\,e^5+2520\,A\,B^2\,b^3\,c^8\,d^6\,e^4-1645\,A\,B^2\,b^2\,c^9\,d^7\,e^3+280\,A\,B^2\,b\,c^{10}\,d^8\,e^2-28\,B^3\,b^8\,c^3\,d^2\,e^8+204\,B^3\,b^7\,c^4\,d^3\,e^7-644\,B^3\,b^6\,c^5\,d^4\,e^6+1148\,B^3\,b^5\,c^6\,d^5\,e^5-1260\,B^3\,b^4\,c^7\,d^6\,e^4+525\,B^3\,b^3\,c^8\,d^7\,e^3-70\,B^3\,b^2\,c^9\,d^8\,e^2}\right)\,\sqrt{-\frac{81\,A^2\,b^2\,c^7\,e^2-72\,A^2\,b\,c^8\,d\,e+16\,A^2\,c^9\,d^2-126\,A\,B\,b^3\,c^6\,e^2+92\,A\,B\,b^2\,c^7\,d\,e-16\,A\,B\,b\,c^8\,d^2+49\,B^2\,b^4\,c^5\,e^2-28\,B^2\,b^3\,c^6\,d\,e+4\,B^2\,b^2\,c^7\,d^2}{4\,\left(b^{13}\,e^7-7\,b^{12}\,c\,d\,e^6+21\,b^{11}\,c^2\,d^2\,e^5-35\,b^{10}\,c^3\,d^3\,e^4+35\,b^9\,c^4\,d^4\,e^3-21\,b^8\,c^5\,d^5\,e^2+7\,b^7\,c^6\,d^6\,e-b^6\,c^7\,d^7\right)}}\,2{}\mathrm{i}","Not used",1,"atan((A^2*c^13*d^12*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*32i - b^6*c^11*d^17*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*2i + b^17*d^6*e^11*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*1i + B^2*b^2*c^11*d^12*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*8i - b^8*c^9*d^15*e^2*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*100i + b^9*c^8*d^14*e^3*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*285i - b^10*c^7*d^13*e^4*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*540i + b^11*c^6*d^12*e^5*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*714i - b^12*c^5*d^11*e^6*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*672i + b^13*c^4*d^10*e^7*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*450i - b^14*c^3*d^9*e^8*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*210i + b^15*c^2*d^8*e^9*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*65i + A^2*b^12*c*e^12*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*25i + b^7*c^10*d^16*e*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*21i - b^16*c*d^7*e^10*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(3/2)*(d + e*x)^(1/2)*12i - A^2*b*c^12*d^11*e*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*256i - A^2*b^11*c^2*d*e^11*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*210i - B^2*b^3*c^10*d^11*e*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*84i + B^2*b^12*c*d^2*e^10*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*4i - A*B*b*c^12*d^12*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*32i + A^2*b^2*c^11*d^10*e^2*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*810i - A^2*b^3*c^10*d^9*e^3*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1190i + A^2*b^4*c^9*d^8*e^4*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*475i + A^2*b^5*c^8*d^7*e^5*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*972i - A^2*b^6*c^7*d^6*e^6*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1389i + A^2*b^7*c^6*d^5*e^7*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*180i + A^2*b^8*c^5*d^4*e^8*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1170i - A^2*b^9*c^4*d^3*e^9*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1360i + A^2*b^10*c^3*d^2*e^10*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*741i + B^2*b^4*c^9*d^10*e^2*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*365i - B^2*b^5*c^8*d^9*e^3*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*860i + B^2*b^6*c^7*d^8*e^4*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1250i - B^2*b^7*c^6*d^7*e^5*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1232i + B^2*b^8*c^5*d^6*e^6*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*889i - B^2*b^9*c^4*d^5*e^7*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*480i + B^2*b^10*c^3*d^4*e^8*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*180i - B^2*b^11*c^2*d^3*e^9*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*40i - A*B*b^12*c*d*e^11*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*20i + A*B*b^2*c^11*d^11*e*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*296i - A*B*b^3*c^10*d^10*e^2*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1110i + A*B*b^4*c^9*d^9*e^3*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*2140i - A*B*b^5*c^8*d^8*e^4*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*2100i + A*B*b^6*c^7*d^7*e^5*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*428i + A*B*b^7*c^6*d^6*e^6*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1554i - A*B*b^8*c^5*d^5*e^7*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*2280i + A*B*b^9*c^4*d^4*e^8*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*1680i - A*B*b^10*c^3*d^3*e^9*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*740i + A*B*b^11*c^2*d^2*e^10*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6))^(1/2)*(d + e*x)^(1/2)*184i)/(225*A^3*b^7*c^4*e^10 + 420*A^3*c^11*d^7*e^3 + 3591*A^3*b^2*c^9*d^5*e^5 - 1113*A^3*b^3*c^8*d^4*e^6 - 2367*A^3*b^4*c^7*d^3*e^7 + 2889*A^3*b^5*c^6*d^2*e^8 - 70*B^3*b^2*c^9*d^8*e^2 + 525*B^3*b^3*c^8*d^7*e^3 - 1260*B^3*b^4*c^7*d^6*e^4 + 1148*B^3*b^5*c^6*d^5*e^5 - 644*B^3*b^6*c^5*d^4*e^6 + 204*B^3*b^7*c^4*d^3*e^7 - 28*B^3*b^8*c^3*d^2*e^8 - 175*A^2*B*b^8*c^3*e^10 - 280*A^2*B*c^11*d^8*e^2 - 2205*A^3*b*c^10*d^6*e^4 - 1315*A^3*b^6*c^5*d*e^9 - 1645*A*B^2*b^2*c^9*d^7*e^3 + 2520*A*B^2*b^3*c^8*d^6*e^4 + 112*A*B^2*b^4*c^7*d^5*e^5 - 2296*A*B^2*b^5*c^6*d^4*e^6 + 2136*A*B^2*b^6*c^5*d^3*e^7 - 872*A*B^2*b^7*c^4*d^2*e^8 + 665*A^2*B*b^2*c^9*d^6*e^4 - 5299*A^2*B*b^3*c^8*d^5*e^5 + 5537*A^2*B*b^4*c^7*d^4*e^6 - 1717*A^2*B*b^5*c^6*d^3*e^7 - 901*A^2*B*b^6*c^5*d^2*e^8 + 280*A*B^2*b*c^10*d^8*e^2 + 140*A*B^2*b^8*c^3*d*e^9 + 980*A^2*B*b*c^10*d^7*e^3 + 815*A^2*B*b^7*c^4*d*e^9))*(-(16*A^2*c^9*d^2 + 81*A^2*b^2*c^7*e^2 + 4*B^2*b^2*c^7*d^2 + 49*B^2*b^4*c^5*e^2 - 126*A*B*b^3*c^6*e^2 - 28*B^2*b^3*c^6*d*e - 16*A*B*b*c^8*d^2 - 72*A^2*b*c^8*d*e + 92*A*B*b^2*c^7*d*e)/(4*(b^13*e^7 - b^6*c^7*d^7 + 7*b^7*c^6*d^6*e - 21*b^8*c^5*d^5*e^2 + 35*b^9*c^4*d^4*e^3 - 35*b^10*c^3*d^3*e^4 + 21*b^11*c^2*d^2*e^5 - 7*b^12*c*d*e^6)))^(1/2)*2i - log(32*A^3*b^4*c^20*d^23*e^3 - ((((25*A^2*b^2*e^2)/4 + 4*A^2*c^2*d^2 + B^2*b^2*d^2 - 4*A*B*b*c*d^2 - 5*A*B*b^2*d*e + 10*A^2*b*c*d*e)/(b^6*d^7))^(1/2)*((d + e*x)^(1/2)*(((25*A^2*b^2*e^2)/4 + 4*A^2*c^2*d^2 + B^2*b^2*d^2 - 4*A*B*b*c*d^2 - 5*A*B*b^2*d*e + 10*A^2*b*c*d*e)/(b^6*d^7))^(1/2)*(16*b^12*c^18*d^31*e^2 - 248*b^13*c^17*d^30*e^3 + 1800*b^14*c^16*d^29*e^4 - 8120*b^15*c^15*d^28*e^5 + 25480*b^16*c^14*d^27*e^6 - 58968*b^17*c^13*d^26*e^7 + 104104*b^18*c^12*d^25*e^8 - 143000*b^19*c^11*d^24*e^9 + 154440*b^20*c^10*d^23*e^10 - 131560*b^21*c^9*d^22*e^11 + 88088*b^22*c^8*d^21*e^12 - 45864*b^23*c^7*d^20*e^13 + 18200*b^24*c^6*d^19*e^14 - 5320*b^25*c^5*d^18*e^15 + 1080*b^26*c^4*d^17*e^16 - 136*b^27*c^3*d^16*e^17 + 8*b^28*c^2*d^15*e^18) + 8*A*b^10*c^18*d^28*e^3 - 112*A*b^11*c^17*d^27*e^4 + 664*A*b^12*c^16*d^26*e^5 - 2080*A*b^13*c^15*d^25*e^6 + 2996*A*b^14*c^14*d^24*e^7 + 2528*A*b^15*c^13*d^23*e^8 - 23056*A*b^16*c^12*d^22*e^9 + 59312*A*b^17*c^11*d^21*e^10 - 95700*A*b^18*c^10*d^20*e^11 + 109648*A*b^19*c^9*d^19*e^12 - 92840*A*b^20*c^8*d^18*e^13 + 58688*A*b^21*c^7*d^17*e^14 - 27476*A*b^22*c^6*d^16*e^15 + 9280*A*b^23*c^5*d^15*e^16 - 2144*A*b^24*c^4*d^14*e^17 + 304*A*b^25*c^3*d^13*e^18 - 20*A*b^26*c^2*d^12*e^19 - 4*B*b^11*c^17*d^28*e^3 + 96*B*b^12*c^16*d^27*e^4 - 872*B*b^13*c^15*d^26*e^5 + 4440*B*b^14*c^14*d^25*e^6 - 14748*B*b^15*c^13*d^24*e^7 + 34496*B*b^16*c^12*d^23*e^8 - 59312*B*b^17*c^11*d^22*e^9 + 76824*B*b^18*c^10*d^21*e^10 - 75900*B*b^19*c^9*d^20*e^11 + 57376*B*b^20*c^8*d^19*e^12 - 33000*B*b^21*c^7*d^18*e^13 + 14216*B*b^22*c^6*d^17*e^14 - 4452*B*b^23*c^5*d^16*e^15 + 960*B*b^24*c^4*d^15*e^16 - 128*B*b^25*c^3*d^14*e^17 + 8*B*b^26*c^2*d^13*e^18) - (d + e*x)^(1/2)*(64*A^2*b^6*c^20*d^26*e^2 - 832*A^2*b^7*c^19*d^25*e^3 + 4820*A^2*b^8*c^18*d^24*e^4 - 16240*A^2*b^9*c^17*d^23*e^5 + 34490*A^2*b^10*c^16*d^22*e^6 - 45430*A^2*b^11*c^15*d^21*e^7 + 29414*A^2*b^12*c^14*d^20*e^8 + 10670*A^2*b^13*c^13*d^19*e^9 - 39550*A^2*b^14*c^12*d^18*e^10 + 25730*A^2*b^15*c^11*d^17*e^11 + 19048*A^2*b^16*c^10*d^16*e^12 - 53852*A^2*b^17*c^9*d^15*e^13 + 55510*A^2*b^18*c^8*d^14*e^14 - 35210*A^2*b^19*c^7*d^13*e^15 + 14830*A^2*b^20*c^6*d^12*e^16 - 4082*A^2*b^21*c^5*d^11*e^17 + 670*A^2*b^22*c^4*d^10*e^18 - 50*A^2*b^23*c^3*d^9*e^19 + 16*B^2*b^8*c^18*d^26*e^2 - 248*B^2*b^9*c^17*d^25*e^3 + 1730*B^2*b^10*c^16*d^24*e^4 - 7210*B^2*b^11*c^15*d^23*e^5 + 20160*B^2*b^12*c^14*d^22*e^6 - 40320*B^2*b^13*c^13*d^21*e^7 + 60116*B^2*b^14*c^12*d^20*e^8 - 68820*B^2*b^15*c^11*d^19*e^9 + 61800*B^2*b^16*c^10*d^18*e^10 - 44080*B^2*b^17*c^9*d^17*e^11 + 24962*B^2*b^18*c^8*d^16*e^12 - 11018*B^2*b^19*c^7*d^15*e^13 + 3640*B^2*b^20*c^6*d^14*e^14 - 840*B^2*b^21*c^5*d^13*e^15 + 120*B^2*b^22*c^4*d^12*e^16 - 8*B^2*b^23*c^3*d^11*e^17 - 64*A*B*b^7*c^19*d^26*e^2 + 912*A*B*b^8*c^18*d^25*e^3 - 5820*A*B*b^9*c^17*d^24*e^4 + 21940*A*B*b^10*c^16*d^23*e^5 - 54040*A*B*b^11*c^15*d^22*e^6 + 89880*A*B*b^12*c^14*d^21*e^7 - 97664*A*B*b^13*c^13*d^20*e^8 + 54080*A*B*b^14*c^12*d^19*e^9 + 23400*A*B*b^15*c^11*d^18*e^10 - 86480*A*B*b^16*c^10*d^17*e^11 + 101652*A*B*b^17*c^9*d^16*e^12 - 76188*A*B*b^18*c^8*d^15*e^13 + 40040*A*B*b^19*c^7*d^14*e^14 - 14840*A*B*b^20*c^6*d^13*e^15 + 3720*A*B*b^21*c^5*d^12*e^16 - 568*A*B*b^22*c^4*d^11*e^17 + 40*A*B*b^23*c^3*d^10*e^18))*(((25*A^2*b^2*e^2)/4 + 4*A^2*c^2*d^2 + B^2*b^2*d^2 - 4*A*B*b*c*d^2 - 5*A*B*b^2*d*e + 10*A^2*b*c*d*e)/(b^6*d^7))^(1/2) - 368*A^3*b^5*c^19*d^22*e^4 + 2006*A^3*b^6*c^18*d^21*e^5 - 6895*A^3*b^7*c^17*d^20*e^6 + 16250*A^3*b^8*c^16*d^19*e^7 - 25764*A^3*b^9*c^15*d^18*e^8 + 22851*A^3*b^10*c^14*d^17*e^9 + 2958*A^3*b^11*c^13*d^16*e^10 - 41520*A^3*b^12*c^12*d^15*e^11 + 64900*A^3*b^13*c^11*d^14*e^12 - 57568*A^3*b^14*c^10*d^13*e^13 + 32617*A^3*b^15*c^9*d^12*e^14 - 11714*A^3*b^16*c^8*d^11*e^15 + 2440*A^3*b^17*c^7*d^10*e^16 - 225*A^3*b^18*c^6*d^9*e^17 - 4*B^3*b^7*c^17*d^23*e^3 + 26*B^3*b^8*c^16*d^22*e^4 + 38*B^3*b^9*c^15*d^21*e^5 - 880*B^3*b^10*c^14*d^20*e^6 + 3900*B^3*b^11*c^13*d^19*e^7 - 9492*B^3*b^12*c^12*d^18*e^8 + 14868*B^3*b^13*c^11*d^17*e^9 - 15816*B^3*b^14*c^10*d^16*e^10 + 11580*B^3*b^15*c^9*d^15*e^11 - 5750*B^3*b^16*c^8*d^14*e^12 + 1846*B^3*b^17*c^7*d^13*e^13 - 344*B^3*b^18*c^6*d^12*e^14 + 28*B^3*b^19*c^5*d^11*e^15 + 24*A*B^2*b^6*c^18*d^23*e^3 - 196*A*B^2*b^7*c^17*d^22*e^4 + 487*A*B^2*b^8*c^16*d^21*e^5 + 165*A*B^2*b^9*c^15*d^20*e^6 - 2800*A*B^2*b^10*c^14*d^19*e^7 + 3552*A*B^2*b^11*c^13*d^18*e^8 + 5922*A*B^2*b^12*c^12*d^17*e^9 - 25434*A*B^2*b^13*c^11*d^16*e^10 + 39900*A*B^2*b^14*c^10*d^15*e^11 - 36600*A*B^2*b^15*c^9*d^14*e^12 + 21199*A*B^2*b^16*c^8*d^13*e^13 - 7651*A*B^2*b^17*c^7*d^12*e^14 + 1572*A*B^2*b^18*c^6*d^11*e^15 - 140*A*B^2*b^19*c^5*d^10*e^16 - 48*A^2*B*b^5*c^19*d^23*e^3 + 472*A^2*B*b^6*c^18*d^22*e^4 - 2129*A^2*B*b^7*c^17*d^21*e^5 + 6450*A^2*B*b^8*c^16*d^20*e^6 - 16250*A^2*B*b^9*c^15*d^19*e^7 + 35246*A^2*B*b^10*c^14*d^18*e^8 - 59679*A^2*B*b^11*c^13*d^17*e^9 + 71028*A^2*B*b^12*c^12*d^16*e^10 - 52860*A^2*B*b^13*c^11*d^15*e^11 + 16500*A^2*B*b^14*c^10*d^14*e^12 + 9377*A^2*B*b^15*c^9*d^13*e^13 - 13318*A^2*B*b^16*c^8*d^12*e^14 + 6726*A^2*B*b^17*c^7*d^11*e^15 - 1690*A^2*B*b^18*c^6*d^10*e^16 + 175*A^2*B*b^19*c^5*d^9*e^17)*(((25*A^2*b^2*e^2)/4 + 4*A^2*c^2*d^2 + B^2*b^2*d^2 - 4*A*B*b*c*d^2 - 5*A*B*b^2*d*e + 10*A^2*b*c*d*e)/(b^6*d^7))^(1/2) + log((((25*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 20*A*B*b^2*d*e + 40*A^2*b*c*d*e)/(4*b^6*d^7))^(1/2)*((d + e*x)^(1/2)*((25*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 20*A*B*b^2*d*e + 40*A^2*b*c*d*e)/(4*b^6*d^7))^(1/2)*(16*b^12*c^18*d^31*e^2 - 248*b^13*c^17*d^30*e^3 + 1800*b^14*c^16*d^29*e^4 - 8120*b^15*c^15*d^28*e^5 + 25480*b^16*c^14*d^27*e^6 - 58968*b^17*c^13*d^26*e^7 + 104104*b^18*c^12*d^25*e^8 - 143000*b^19*c^11*d^24*e^9 + 154440*b^20*c^10*d^23*e^10 - 131560*b^21*c^9*d^22*e^11 + 88088*b^22*c^8*d^21*e^12 - 45864*b^23*c^7*d^20*e^13 + 18200*b^24*c^6*d^19*e^14 - 5320*b^25*c^5*d^18*e^15 + 1080*b^26*c^4*d^17*e^16 - 136*b^27*c^3*d^16*e^17 + 8*b^28*c^2*d^15*e^18) - 8*A*b^10*c^18*d^28*e^3 + 112*A*b^11*c^17*d^27*e^4 - 664*A*b^12*c^16*d^26*e^5 + 2080*A*b^13*c^15*d^25*e^6 - 2996*A*b^14*c^14*d^24*e^7 - 2528*A*b^15*c^13*d^23*e^8 + 23056*A*b^16*c^12*d^22*e^9 - 59312*A*b^17*c^11*d^21*e^10 + 95700*A*b^18*c^10*d^20*e^11 - 109648*A*b^19*c^9*d^19*e^12 + 92840*A*b^20*c^8*d^18*e^13 - 58688*A*b^21*c^7*d^17*e^14 + 27476*A*b^22*c^6*d^16*e^15 - 9280*A*b^23*c^5*d^15*e^16 + 2144*A*b^24*c^4*d^14*e^17 - 304*A*b^25*c^3*d^13*e^18 + 20*A*b^26*c^2*d^12*e^19 + 4*B*b^11*c^17*d^28*e^3 - 96*B*b^12*c^16*d^27*e^4 + 872*B*b^13*c^15*d^26*e^5 - 4440*B*b^14*c^14*d^25*e^6 + 14748*B*b^15*c^13*d^24*e^7 - 34496*B*b^16*c^12*d^23*e^8 + 59312*B*b^17*c^11*d^22*e^9 - 76824*B*b^18*c^10*d^21*e^10 + 75900*B*b^19*c^9*d^20*e^11 - 57376*B*b^20*c^8*d^19*e^12 + 33000*B*b^21*c^7*d^18*e^13 - 14216*B*b^22*c^6*d^17*e^14 + 4452*B*b^23*c^5*d^16*e^15 - 960*B*b^24*c^4*d^15*e^16 + 128*B*b^25*c^3*d^14*e^17 - 8*B*b^26*c^2*d^13*e^18) - (d + e*x)^(1/2)*(64*A^2*b^6*c^20*d^26*e^2 - 832*A^2*b^7*c^19*d^25*e^3 + 4820*A^2*b^8*c^18*d^24*e^4 - 16240*A^2*b^9*c^17*d^23*e^5 + 34490*A^2*b^10*c^16*d^22*e^6 - 45430*A^2*b^11*c^15*d^21*e^7 + 29414*A^2*b^12*c^14*d^20*e^8 + 10670*A^2*b^13*c^13*d^19*e^9 - 39550*A^2*b^14*c^12*d^18*e^10 + 25730*A^2*b^15*c^11*d^17*e^11 + 19048*A^2*b^16*c^10*d^16*e^12 - 53852*A^2*b^17*c^9*d^15*e^13 + 55510*A^2*b^18*c^8*d^14*e^14 - 35210*A^2*b^19*c^7*d^13*e^15 + 14830*A^2*b^20*c^6*d^12*e^16 - 4082*A^2*b^21*c^5*d^11*e^17 + 670*A^2*b^22*c^4*d^10*e^18 - 50*A^2*b^23*c^3*d^9*e^19 + 16*B^2*b^8*c^18*d^26*e^2 - 248*B^2*b^9*c^17*d^25*e^3 + 1730*B^2*b^10*c^16*d^24*e^4 - 7210*B^2*b^11*c^15*d^23*e^5 + 20160*B^2*b^12*c^14*d^22*e^6 - 40320*B^2*b^13*c^13*d^21*e^7 + 60116*B^2*b^14*c^12*d^20*e^8 - 68820*B^2*b^15*c^11*d^19*e^9 + 61800*B^2*b^16*c^10*d^18*e^10 - 44080*B^2*b^17*c^9*d^17*e^11 + 24962*B^2*b^18*c^8*d^16*e^12 - 11018*B^2*b^19*c^7*d^15*e^13 + 3640*B^2*b^20*c^6*d^14*e^14 - 840*B^2*b^21*c^5*d^13*e^15 + 120*B^2*b^22*c^4*d^12*e^16 - 8*B^2*b^23*c^3*d^11*e^17 - 64*A*B*b^7*c^19*d^26*e^2 + 912*A*B*b^8*c^18*d^25*e^3 - 5820*A*B*b^9*c^17*d^24*e^4 + 21940*A*B*b^10*c^16*d^23*e^5 - 54040*A*B*b^11*c^15*d^22*e^6 + 89880*A*B*b^12*c^14*d^21*e^7 - 97664*A*B*b^13*c^13*d^20*e^8 + 54080*A*B*b^14*c^12*d^19*e^9 + 23400*A*B*b^15*c^11*d^18*e^10 - 86480*A*B*b^16*c^10*d^17*e^11 + 101652*A*B*b^17*c^9*d^16*e^12 - 76188*A*B*b^18*c^8*d^15*e^13 + 40040*A*B*b^19*c^7*d^14*e^14 - 14840*A*B*b^20*c^6*d^13*e^15 + 3720*A*B*b^21*c^5*d^12*e^16 - 568*A*B*b^22*c^4*d^11*e^17 + 40*A*B*b^23*c^3*d^10*e^18))*((25*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 20*A*B*b^2*d*e + 40*A^2*b*c*d*e)/(4*b^6*d^7))^(1/2) + 32*A^3*b^4*c^20*d^23*e^3 - 368*A^3*b^5*c^19*d^22*e^4 + 2006*A^3*b^6*c^18*d^21*e^5 - 6895*A^3*b^7*c^17*d^20*e^6 + 16250*A^3*b^8*c^16*d^19*e^7 - 25764*A^3*b^9*c^15*d^18*e^8 + 22851*A^3*b^10*c^14*d^17*e^9 + 2958*A^3*b^11*c^13*d^16*e^10 - 41520*A^3*b^12*c^12*d^15*e^11 + 64900*A^3*b^13*c^11*d^14*e^12 - 57568*A^3*b^14*c^10*d^13*e^13 + 32617*A^3*b^15*c^9*d^12*e^14 - 11714*A^3*b^16*c^8*d^11*e^15 + 2440*A^3*b^17*c^7*d^10*e^16 - 225*A^3*b^18*c^6*d^9*e^17 - 4*B^3*b^7*c^17*d^23*e^3 + 26*B^3*b^8*c^16*d^22*e^4 + 38*B^3*b^9*c^15*d^21*e^5 - 880*B^3*b^10*c^14*d^20*e^6 + 3900*B^3*b^11*c^13*d^19*e^7 - 9492*B^3*b^12*c^12*d^18*e^8 + 14868*B^3*b^13*c^11*d^17*e^9 - 15816*B^3*b^14*c^10*d^16*e^10 + 11580*B^3*b^15*c^9*d^15*e^11 - 5750*B^3*b^16*c^8*d^14*e^12 + 1846*B^3*b^17*c^7*d^13*e^13 - 344*B^3*b^18*c^6*d^12*e^14 + 28*B^3*b^19*c^5*d^11*e^15 + 24*A*B^2*b^6*c^18*d^23*e^3 - 196*A*B^2*b^7*c^17*d^22*e^4 + 487*A*B^2*b^8*c^16*d^21*e^5 + 165*A*B^2*b^9*c^15*d^20*e^6 - 2800*A*B^2*b^10*c^14*d^19*e^7 + 3552*A*B^2*b^11*c^13*d^18*e^8 + 5922*A*B^2*b^12*c^12*d^17*e^9 - 25434*A*B^2*b^13*c^11*d^16*e^10 + 39900*A*B^2*b^14*c^10*d^15*e^11 - 36600*A*B^2*b^15*c^9*d^14*e^12 + 21199*A*B^2*b^16*c^8*d^13*e^13 - 7651*A*B^2*b^17*c^7*d^12*e^14 + 1572*A*B^2*b^18*c^6*d^11*e^15 - 140*A*B^2*b^19*c^5*d^10*e^16 - 48*A^2*B*b^5*c^19*d^23*e^3 + 472*A^2*B*b^6*c^18*d^22*e^4 - 2129*A^2*B*b^7*c^17*d^21*e^5 + 6450*A^2*B*b^8*c^16*d^20*e^6 - 16250*A^2*B*b^9*c^15*d^19*e^7 + 35246*A^2*B*b^10*c^14*d^18*e^8 - 59679*A^2*B*b^11*c^13*d^17*e^9 + 71028*A^2*B*b^12*c^12*d^16*e^10 - 52860*A^2*B*b^13*c^11*d^15*e^11 + 16500*A^2*B*b^14*c^10*d^14*e^12 + 9377*A^2*B*b^15*c^9*d^13*e^13 - 13318*A^2*B*b^16*c^8*d^12*e^14 + 6726*A^2*B*b^17*c^7*d^11*e^15 - 1690*A^2*B*b^18*c^6*d^10*e^16 + 175*A^2*B*b^19*c^5*d^9*e^17)*((25*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 20*A*B*b^2*d*e + 40*A^2*b*c*d*e)/(4*b^6*d^7))^(1/2) - ((2*(A*e^3 - B*d*e^2))/(3*(c*d^2 - b*d*e)) - (2*(d + e*x)*(5*A*b*e^4 - 10*A*c*d*e^3 - 2*B*b*d*e^3 + 7*B*c*d^2*e^2))/(3*(c*d^2 - b*d*e)^2) + ((d + e*x)^2*(6*B*b^4*d*e^4 - 6*A*c^4*d^4*e - 15*A*b^4*e^5 + 12*A*b*c^3*d^3*e^2 - 28*B*b^3*c*d^2*e^3 - 64*A*b^2*c^2*d^2*e^3 + 34*B*b^2*c^2*d^3*e^2 + 58*A*b^3*c*d*e^4 + 3*B*b*c^3*d^4*e))/(3*b^2*(c*d^2 - b*d*e)^3) - ((d + e*x)^3*(5*A*b^3*c*e^4 - 2*A*c^4*d^3*e + 3*A*b*c^3*d^2*e^2 - 11*A*b^2*c^2*d*e^3 + 6*B*b^2*c^2*d^2*e^2 + B*b*c^3*d^3*e - 2*B*b^3*c*d*e^3))/(b^2*(c*d^2 - b*d*e)^3))/(c*(d + e*x)^(7/2) + (c*d^2 - b*d*e)*(d + e*x)^(3/2) + (b*e - 2*c*d)*(d + e*x)^(5/2))","B"
1246,1,20597,457,7.157046,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^2*(d + e*x)^(7/2)),x)","\ln\left(\left(\sqrt{\frac{49\,A^2\,b^2\,e^2+56\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-28\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^9}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{49\,A^2\,b^2\,e^2+56\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-28\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^9}}\,\left(-8\,b^{33}\,c^2\,d^{20}\,e^{23}+176\,b^{32}\,c^3\,d^{21}\,e^{22}-1840\,b^{31}\,c^4\,d^{22}\,e^{21}+12160\,b^{30}\,c^5\,d^{23}\,e^{20}-57000\,b^{29}\,c^6\,d^{24}\,e^{19}+201552\,b^{28}\,c^7\,d^{25}\,e^{18}-558144\,b^{27}\,c^8\,d^{26}\,e^{17}+1240320\,b^{26}\,c^9\,d^{27}\,e^{16}-2248080\,b^{25}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{24}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{23}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{22}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{21}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{20}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^{19}\,c^{16}\,d^{34}\,e^9+744192\,b^{18}\,c^{17}\,d^{35}\,e^8-286824\,b^{17}\,c^{18}\,d^{36}\,e^7+86640\,b^{16}\,c^{19}\,d^{37}\,e^6-19760\,b^{15}\,c^{20}\,d^{38}\,e^5+3200\,b^{14}\,c^{21}\,d^{39}\,e^4-328\,b^{13}\,c^{22}\,d^{40}\,e^3+16\,b^{12}\,c^{23}\,d^{41}\,e^2\right)-8\,A\,b^{10}\,c^{23}\,d^{37}\,e^3+148\,A\,b^{11}\,c^{22}\,d^{36}\,e^4-1160\,A\,b^{12}\,c^{21}\,d^{35}\,e^5+4760\,A\,b^{13}\,c^{20}\,d^{34}\,e^6-8036\,A\,b^{14}\,c^{19}\,d^{33}\,e^7-21868\,A\,b^{15}\,c^{18}\,d^{32}\,e^8+194304\,A\,b^{16}\,c^{17}\,d^{31}\,e^9-709280\,A\,b^{17}\,c^{16}\,d^{30}\,e^{10}+1744160\,A\,b^{18}\,c^{15}\,d^{29}\,e^{11}-3218072\,A\,b^{19}\,c^{14}\,d^{28}\,e^{12}+4654832\,A\,b^{20}\,c^{13}\,d^{27}\,e^{13}-5394480\,A\,b^{21}\,c^{12}\,d^{26}\,e^{14}+5063240\,A\,b^{22}\,c^{11}\,d^{25}\,e^{15}-3863800\,A\,b^{23}\,c^{10}\,d^{24}\,e^{16}+2393152\,A\,b^{24}\,c^9\,d^{23}\,e^{17}-1194528\,A\,b^{25}\,c^8\,d^{22}\,e^{18}+474056\,A\,b^{26}\,c^7\,d^{21}\,e^{19}-146300\,A\,b^{27}\,c^6\,d^{20}\,e^{20}+33880\,A\,b^{28}\,c^5\,d^{19}\,e^{21}-5544\,A\,b^{29}\,c^4\,d^{18}\,e^{22}+572\,A\,b^{30}\,c^3\,d^{17}\,e^{23}-28\,A\,b^{31}\,c^2\,d^{16}\,e^{24}+4\,B\,b^{11}\,c^{22}\,d^{37}\,e^3-144\,B\,b^{12}\,c^{21}\,d^{36}\,e^4+1840\,B\,b^{13}\,c^{20}\,d^{35}\,e^5-13160\,B\,b^{14}\,c^{19}\,d^{34}\,e^6+62328\,B\,b^{15}\,c^{18}\,d^{33}\,e^7-212800\,B\,b^{16}\,c^{17}\,d^{32}\,e^8+550432\,B\,b^{17}\,c^{16}\,d^{31}\,e^9-1113120\,B\,b^{18}\,c^{15}\,d^{30}\,e^{10}+1796600\,B\,b^{19}\,c^{14}\,d^{29}\,e^{11}-2345824\,B\,b^{20}\,c^{13}\,d^{28}\,e^{12}+2498496\,B\,b^{21}\,c^{12}\,d^{27}\,e^{13}-2179632\,B\,b^{22}\,c^{11}\,d^{26}\,e^{14}+1557920\,B\,b^{23}\,c^{10}\,d^{25}\,e^{15}-909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}+429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}-162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}+47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}-10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}+1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}-168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}+8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)+\sqrt{d+e\,x}\,\left(-98\,A^2\,b^{28}\,c^3\,d^{12}\,e^{24}+1848\,A^2\,b^{27}\,c^4\,d^{13}\,e^{23}-16412\,A^2\,b^{26}\,c^5\,d^{14}\,e^{22}+91080\,A^2\,b^{25}\,c^6\,d^{15}\,e^{21}-353210\,A^2\,b^{24}\,c^7\,d^{16}\,e^{20}+1013232\,A^2\,b^{23}\,c^8\,d^{17}\,e^{19}-2217072\,A^2\,b^{22}\,c^9\,d^{18}\,e^{18}+3751968\,A^2\,b^{21}\,c^{10}\,d^{19}\,e^{17}-4903382\,A^2\,b^{20}\,c^{11}\,d^{20}\,e^{16}+4835160\,A^2\,b^{19}\,c^{12}\,d^{21}\,e^{15}-3343724\,A^2\,b^{18}\,c^{13}\,d^{22}\,e^{14}+1207368\,A^2\,b^{17}\,c^{14}\,d^{23}\,e^{13}+393646\,A^2\,b^{16}\,c^{15}\,d^{24}\,e^{12}-851136\,A^2\,b^{15}\,c^{16}\,d^{25}\,e^{11}+473880\,A^2\,b^{14}\,c^{17}\,d^{26}\,e^{10}+38544\,A^2\,b^{13}\,c^{18}\,d^{27}\,e^9-267432\,A^2\,b^{12}\,c^{19}\,d^{28}\,e^8+230912\,A^2\,b^{11}\,c^{20}\,d^{29}\,e^7-116512\,A^2\,b^{10}\,c^{21}\,d^{30}\,e^6+38720\,A^2\,b^9\,c^{22}\,d^{31}\,e^5-8404\,A^2\,b^8\,c^{23}\,d^{32}\,e^4+1088\,A^2\,b^7\,c^{24}\,d^{33}\,e^3-64\,A^2\,b^6\,c^{25}\,d^{34}\,e^2+56\,A\,B\,b^{28}\,c^3\,d^{13}\,e^{23}-1088\,A\,B\,b^{27}\,c^4\,d^{14}\,e^{22}+10000\,A\,B\,b^{26}\,c^5\,d^{15}\,e^{21}-57760\,A\,B\,b^{25}\,c^6\,d^{16}\,e^{20}+234840\,A\,B\,b^{24}\,c^7\,d^{17}\,e^{19}-713184\,A\,B\,b^{23}\,c^8\,d^{18}\,e^{18}+1674432\,A\,B\,b^{22}\,c^9\,d^{19}\,e^{17}-3100404\,A\,B\,b^{21}\,c^{10}\,d^{20}\,e^{16}+4568696\,A\,B\,b^{20}\,c^{11}\,d^{21}\,e^{15}-5345768\,A\,B\,b^{19}\,c^{12}\,d^{22}\,e^{14}+4868800\,A\,B\,b^{18}\,c^{13}\,d^{23}\,e^{13}-3244396\,A\,B\,b^{17}\,c^{14}\,d^{24}\,e^{12}+1244088\,A\,B\,b^{16}\,c^{15}\,d^{25}\,e^{11}+255408\,A\,B\,b^{15}\,c^{16}\,d^{26}\,e^{10}-863424\,A\,B\,b^{14}\,c^{17}\,d^{27}\,e^9+781428\,A\,B\,b^{13}\,c^{18}\,d^{28}\,e^8-452112\,A\,B\,b^{12}\,c^{19}\,d^{29}\,e^7+184216\,A\,B\,b^{11}\,c^{20}\,d^{30}\,e^6-52944\,A\,B\,b^{10}\,c^{21}\,d^{31}\,e^5+10252\,A\,B\,b^9\,c^{22}\,d^{32}\,e^4-1200\,A\,B\,b^8\,c^{23}\,d^{33}\,e^3+64\,A\,B\,b^7\,c^{24}\,d^{34}\,e^2-8\,B^2\,b^{28}\,c^3\,d^{14}\,e^{22}+160\,B^2\,b^{27}\,c^4\,d^{15}\,e^{21}-1520\,B^2\,b^{26}\,c^5\,d^{16}\,e^{20}+9120\,B^2\,b^{25}\,c^6\,d^{17}\,e^{19}-38760\,B^2\,b^{24}\,c^7\,d^{18}\,e^{18}+124032\,B^2\,b^{23}\,c^8\,d^{19}\,e^{17}-310242\,B^2\,b^{22}\,c^9\,d^{20}\,e^{16}+622176\,B^2\,b^{21}\,c^{10}\,d^{21}\,e^{15}-1019324\,B^2\,b^{20}\,c^{11}\,d^{22}\,e^{14}+1384168\,B^2\,b^{19}\,c^{12}\,d^{23}\,e^{13}-1574606\,B^2\,b^{18}\,c^{13}\,d^{24}\,e^{12}+1509384\,B^2\,b^{17}\,c^{14}\,d^{25}\,e^{11}-1218432\,B^2\,b^{16}\,c^{15}\,d^{26}\,e^{10}+821328\,B^2\,b^{15}\,c^{16}\,d^{27}\,e^9-454686\,B^2\,b^{14}\,c^{17}\,d^{28}\,e^8+201648\,B^2\,b^{13}\,c^{18}\,d^{29}\,e^7-69252\,B^2\,b^{12}\,c^{19}\,d^{30}\,e^6+17576\,B^2\,b^{11}\,c^{20}\,d^{31}\,e^5-3074\,B^2\,b^{10}\,c^{21}\,d^{32}\,e^4+328\,B^2\,b^9\,c^{22}\,d^{33}\,e^3-16\,B^2\,b^8\,c^{23}\,d^{34}\,e^2\right)\right)\,\sqrt{\frac{49\,A^2\,b^2\,e^2+56\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-28\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^9}}+32\,A^3\,b^4\,c^{25}\,d^{30}\,e^3-480\,A^3\,b^5\,c^{24}\,d^{29}\,e^4+3590\,A^3\,b^6\,c^{23}\,d^{28}\,e^5-17780\,A^3\,b^7\,c^{22}\,d^{27}\,e^6+62874\,A^3\,b^8\,c^{21}\,d^{26}\,e^7-157248\,A^3\,b^9\,c^{20}\,d^{25}\,e^8+254443\,A^3\,b^{10}\,c^{19}\,d^{24}\,e^9-163416\,A^3\,b^{11}\,c^{18}\,d^{23}\,e^{10}-380204\,A^3\,b^{12}\,c^{17}\,d^{22}\,e^{11}+1403292\,A^3\,b^{13}\,c^{16}\,d^{21}\,e^{12}-2458995\,A^3\,b^{14}\,c^{15}\,d^{20}\,e^{13}+2901724\,A^3\,b^{15}\,c^{14}\,d^{19}\,e^{14}-2487478\,A^3\,b^{16}\,c^{13}\,d^{18}\,e^{15}+1581048\,A^3\,b^{17}\,c^{12}\,d^{17}\,e^{16}-741891\,A^3\,b^{18}\,c^{11}\,d^{16}\,e^{17}+250736\,A^3\,b^{19}\,c^{10}\,d^{15}\,e^{18}-57912\,A^3\,b^{20}\,c^9\,d^{14}\,e^{19}+8204\,A^3\,b^{21}\,c^8\,d^{13}\,e^{20}-539\,A^3\,b^{22}\,c^7\,d^{12}\,e^{21}-4\,B^3\,b^7\,c^{22}\,d^{30}\,e^3+18\,B^3\,b^8\,c^{21}\,d^{29}\,e^4+344\,B^3\,b^9\,c^{20}\,d^{28}\,e^5-4228\,B^3\,b^{10}\,c^{19}\,d^{27}\,e^6+22848\,B^3\,b^{11}\,c^{18}\,d^{26}\,e^7-76706\,B^3\,b^{12}\,c^{17}\,d^{25}\,e^8+178640\,B^3\,b^{13}\,c^{16}\,d^{24}\,e^9-304128\,B^3\,b^{14}\,c^{15}\,d^{23}\,e^{10}+389136\,B^3\,b^{15}\,c^{14}\,d^{22}\,e^{11}-379346\,B^3\,b^{16}\,c^{13}\,d^{21}\,e^{12}+282744\,B^3\,b^{17}\,c^{12}\,d^{20}\,e^{13}-160244\,B^3\,b^{18}\,c^{11}\,d^{19}\,e^{14}+67984\,B^3\,b^{19}\,c^{10}\,d^{18}\,e^{15}-20958\,B^3\,b^{20}\,c^9\,d^{17}\,e^{16}+4448\,B^3\,b^{21}\,c^8\,d^{16}\,e^{17}-584\,B^3\,b^{22}\,c^7\,d^{15}\,e^{18}+36\,B^3\,b^{23}\,c^6\,d^{14}\,e^{19}+24\,A\,B^2\,b^6\,c^{23}\,d^{30}\,e^3-192\,A\,B^2\,b^7\,c^{22}\,d^{29}\,e^4-111\,A\,B^2\,b^8\,c^{21}\,d^{28}\,e^5+6636\,A\,B^2\,b^9\,c^{20}\,d^{27}\,e^6-32970\,A\,B^2\,b^{10}\,c^{19}\,d^{26}\,e^7+75432\,A\,B^2\,b^{11}\,c^{18}\,d^{25}\,e^8-55881\,A\,B^2\,b^{12}\,c^{17}\,d^{24}\,e^9-172920\,A\,B^2\,b^{13}\,c^{16}\,d^{23}\,e^{10}+664488\,A\,B^2\,b^{14}\,c^{15}\,d^{22}\,e^{11}-1211100\,A\,B^2\,b^{15}\,c^{14}\,d^{21}\,e^{12}+1461999\,A\,B^2\,b^{16}\,c^{13}\,d^{20}\,e^{13}-1264452\,A\,B^2\,b^{17}\,c^{12}\,d^{19}\,e^{14}+802158\,A\,B^2\,b^{18}\,c^{11}\,d^{18}\,e^{15}-372624\,A\,B^2\,b^{19}\,c^{10}\,d^{17}\,e^{16}+123945\,A\,B^2\,b^{20}\,c^9\,d^{16}\,e^{17}-28080\,A\,B^2\,b^{21}\,c^8\,d^{15}\,e^{18}+3900\,A\,B^2\,b^{22}\,c^7\,d^{14}\,e^{19}-252\,A\,B^2\,b^{23}\,c^6\,d^{13}\,e^{20}-48\,A^2\,B\,b^5\,c^{24}\,d^{30}\,e^3+552\,A^2\,B\,b^6\,c^{23}\,d^{29}\,e^4-2949\,A^2\,B\,b^7\,c^{22}\,d^{28}\,e^5+11844\,A^2\,B\,b^8\,c^{21}\,d^{27}\,e^6-47628\,A^2\,B\,b^9\,c^{20}\,d^{26}\,e^7+176274\,A^2\,B\,b^{10}\,c^{19}\,d^{25}\,e^8-502782\,A^2\,B\,b^{11}\,c^{18}\,d^{24}\,e^9+1030776\,A^2\,B\,b^{12}\,c^{17}\,d^{23}\,e^{10}-1480512\,A^2\,B\,b^{13}\,c^{16}\,d^{22}\,e^{11}+1411806\,A^2\,B\,b^{14}\,c^{15}\,d^{21}\,e^{12}-703164\,A^2\,B\,b^{15}\,c^{14}\,d^{20}\,e^{13}-205212\,A^2\,B\,b^{16}\,c^{13}\,d^{19}\,e^{14}+729540\,A^2\,B\,b^{17}\,c^{12}\,d^{18}\,e^{15}-708498\,A^2\,B\,b^{18}\,c^{11}\,d^{17}\,e^{16}+417222\,A^2\,B\,b^{19}\,c^{10}\,d^{16}\,e^{17}-162912\,A^2\,B\,b^{20}\,c^9\,d^{15}\,e^{18}+41592\,A^2\,B\,b^{21}\,c^8\,d^{14}\,e^{19}-6342\,A^2\,B\,b^{22}\,c^7\,d^{13}\,e^{20}+441\,A^2\,B\,b^{23}\,c^6\,d^{12}\,e^{21}\right)\,\sqrt{\frac{49\,A^2\,b^2\,e^2+56\,A^2\,b\,c\,d\,e+16\,A^2\,c^2\,d^2-28\,A\,B\,b^2\,d\,e-16\,A\,B\,b\,c\,d^2+4\,B^2\,b^2\,d^2}{4\,b^6\,d^9}}-\ln\left(32\,A^3\,b^4\,c^{25}\,d^{30}\,e^3-\left(\sqrt{\frac{\frac{49\,A^2\,b^2\,e^2}{4}+14\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-7\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^9}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{\frac{49\,A^2\,b^2\,e^2}{4}+14\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-7\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^9}}\,\left(-8\,b^{33}\,c^2\,d^{20}\,e^{23}+176\,b^{32}\,c^3\,d^{21}\,e^{22}-1840\,b^{31}\,c^4\,d^{22}\,e^{21}+12160\,b^{30}\,c^5\,d^{23}\,e^{20}-57000\,b^{29}\,c^6\,d^{24}\,e^{19}+201552\,b^{28}\,c^7\,d^{25}\,e^{18}-558144\,b^{27}\,c^8\,d^{26}\,e^{17}+1240320\,b^{26}\,c^9\,d^{27}\,e^{16}-2248080\,b^{25}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{24}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{23}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{22}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{21}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{20}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^{19}\,c^{16}\,d^{34}\,e^9+744192\,b^{18}\,c^{17}\,d^{35}\,e^8-286824\,b^{17}\,c^{18}\,d^{36}\,e^7+86640\,b^{16}\,c^{19}\,d^{37}\,e^6-19760\,b^{15}\,c^{20}\,d^{38}\,e^5+3200\,b^{14}\,c^{21}\,d^{39}\,e^4-328\,b^{13}\,c^{22}\,d^{40}\,e^3+16\,b^{12}\,c^{23}\,d^{41}\,e^2\right)+8\,A\,b^{10}\,c^{23}\,d^{37}\,e^3-148\,A\,b^{11}\,c^{22}\,d^{36}\,e^4+1160\,A\,b^{12}\,c^{21}\,d^{35}\,e^5-4760\,A\,b^{13}\,c^{20}\,d^{34}\,e^6+8036\,A\,b^{14}\,c^{19}\,d^{33}\,e^7+21868\,A\,b^{15}\,c^{18}\,d^{32}\,e^8-194304\,A\,b^{16}\,c^{17}\,d^{31}\,e^9+709280\,A\,b^{17}\,c^{16}\,d^{30}\,e^{10}-1744160\,A\,b^{18}\,c^{15}\,d^{29}\,e^{11}+3218072\,A\,b^{19}\,c^{14}\,d^{28}\,e^{12}-4654832\,A\,b^{20}\,c^{13}\,d^{27}\,e^{13}+5394480\,A\,b^{21}\,c^{12}\,d^{26}\,e^{14}-5063240\,A\,b^{22}\,c^{11}\,d^{25}\,e^{15}+3863800\,A\,b^{23}\,c^{10}\,d^{24}\,e^{16}-2393152\,A\,b^{24}\,c^9\,d^{23}\,e^{17}+1194528\,A\,b^{25}\,c^8\,d^{22}\,e^{18}-474056\,A\,b^{26}\,c^7\,d^{21}\,e^{19}+146300\,A\,b^{27}\,c^6\,d^{20}\,e^{20}-33880\,A\,b^{28}\,c^5\,d^{19}\,e^{21}+5544\,A\,b^{29}\,c^4\,d^{18}\,e^{22}-572\,A\,b^{30}\,c^3\,d^{17}\,e^{23}+28\,A\,b^{31}\,c^2\,d^{16}\,e^{24}-4\,B\,b^{11}\,c^{22}\,d^{37}\,e^3+144\,B\,b^{12}\,c^{21}\,d^{36}\,e^4-1840\,B\,b^{13}\,c^{20}\,d^{35}\,e^5+13160\,B\,b^{14}\,c^{19}\,d^{34}\,e^6-62328\,B\,b^{15}\,c^{18}\,d^{33}\,e^7+212800\,B\,b^{16}\,c^{17}\,d^{32}\,e^8-550432\,B\,b^{17}\,c^{16}\,d^{31}\,e^9+1113120\,B\,b^{18}\,c^{15}\,d^{30}\,e^{10}-1796600\,B\,b^{19}\,c^{14}\,d^{29}\,e^{11}+2345824\,B\,b^{20}\,c^{13}\,d^{28}\,e^{12}-2498496\,B\,b^{21}\,c^{12}\,d^{27}\,e^{13}+2179632\,B\,b^{22}\,c^{11}\,d^{26}\,e^{14}-1557920\,B\,b^{23}\,c^{10}\,d^{25}\,e^{15}+909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}-429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}+162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}-47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}+10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}-1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}+168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}-8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)+\sqrt{d+e\,x}\,\left(-98\,A^2\,b^{28}\,c^3\,d^{12}\,e^{24}+1848\,A^2\,b^{27}\,c^4\,d^{13}\,e^{23}-16412\,A^2\,b^{26}\,c^5\,d^{14}\,e^{22}+91080\,A^2\,b^{25}\,c^6\,d^{15}\,e^{21}-353210\,A^2\,b^{24}\,c^7\,d^{16}\,e^{20}+1013232\,A^2\,b^{23}\,c^8\,d^{17}\,e^{19}-2217072\,A^2\,b^{22}\,c^9\,d^{18}\,e^{18}+3751968\,A^2\,b^{21}\,c^{10}\,d^{19}\,e^{17}-4903382\,A^2\,b^{20}\,c^{11}\,d^{20}\,e^{16}+4835160\,A^2\,b^{19}\,c^{12}\,d^{21}\,e^{15}-3343724\,A^2\,b^{18}\,c^{13}\,d^{22}\,e^{14}+1207368\,A^2\,b^{17}\,c^{14}\,d^{23}\,e^{13}+393646\,A^2\,b^{16}\,c^{15}\,d^{24}\,e^{12}-851136\,A^2\,b^{15}\,c^{16}\,d^{25}\,e^{11}+473880\,A^2\,b^{14}\,c^{17}\,d^{26}\,e^{10}+38544\,A^2\,b^{13}\,c^{18}\,d^{27}\,e^9-267432\,A^2\,b^{12}\,c^{19}\,d^{28}\,e^8+230912\,A^2\,b^{11}\,c^{20}\,d^{29}\,e^7-116512\,A^2\,b^{10}\,c^{21}\,d^{30}\,e^6+38720\,A^2\,b^9\,c^{22}\,d^{31}\,e^5-8404\,A^2\,b^8\,c^{23}\,d^{32}\,e^4+1088\,A^2\,b^7\,c^{24}\,d^{33}\,e^3-64\,A^2\,b^6\,c^{25}\,d^{34}\,e^2+56\,A\,B\,b^{28}\,c^3\,d^{13}\,e^{23}-1088\,A\,B\,b^{27}\,c^4\,d^{14}\,e^{22}+10000\,A\,B\,b^{26}\,c^5\,d^{15}\,e^{21}-57760\,A\,B\,b^{25}\,c^6\,d^{16}\,e^{20}+234840\,A\,B\,b^{24}\,c^7\,d^{17}\,e^{19}-713184\,A\,B\,b^{23}\,c^8\,d^{18}\,e^{18}+1674432\,A\,B\,b^{22}\,c^9\,d^{19}\,e^{17}-3100404\,A\,B\,b^{21}\,c^{10}\,d^{20}\,e^{16}+4568696\,A\,B\,b^{20}\,c^{11}\,d^{21}\,e^{15}-5345768\,A\,B\,b^{19}\,c^{12}\,d^{22}\,e^{14}+4868800\,A\,B\,b^{18}\,c^{13}\,d^{23}\,e^{13}-3244396\,A\,B\,b^{17}\,c^{14}\,d^{24}\,e^{12}+1244088\,A\,B\,b^{16}\,c^{15}\,d^{25}\,e^{11}+255408\,A\,B\,b^{15}\,c^{16}\,d^{26}\,e^{10}-863424\,A\,B\,b^{14}\,c^{17}\,d^{27}\,e^9+781428\,A\,B\,b^{13}\,c^{18}\,d^{28}\,e^8-452112\,A\,B\,b^{12}\,c^{19}\,d^{29}\,e^7+184216\,A\,B\,b^{11}\,c^{20}\,d^{30}\,e^6-52944\,A\,B\,b^{10}\,c^{21}\,d^{31}\,e^5+10252\,A\,B\,b^9\,c^{22}\,d^{32}\,e^4-1200\,A\,B\,b^8\,c^{23}\,d^{33}\,e^3+64\,A\,B\,b^7\,c^{24}\,d^{34}\,e^2-8\,B^2\,b^{28}\,c^3\,d^{14}\,e^{22}+160\,B^2\,b^{27}\,c^4\,d^{15}\,e^{21}-1520\,B^2\,b^{26}\,c^5\,d^{16}\,e^{20}+9120\,B^2\,b^{25}\,c^6\,d^{17}\,e^{19}-38760\,B^2\,b^{24}\,c^7\,d^{18}\,e^{18}+124032\,B^2\,b^{23}\,c^8\,d^{19}\,e^{17}-310242\,B^2\,b^{22}\,c^9\,d^{20}\,e^{16}+622176\,B^2\,b^{21}\,c^{10}\,d^{21}\,e^{15}-1019324\,B^2\,b^{20}\,c^{11}\,d^{22}\,e^{14}+1384168\,B^2\,b^{19}\,c^{12}\,d^{23}\,e^{13}-1574606\,B^2\,b^{18}\,c^{13}\,d^{24}\,e^{12}+1509384\,B^2\,b^{17}\,c^{14}\,d^{25}\,e^{11}-1218432\,B^2\,b^{16}\,c^{15}\,d^{26}\,e^{10}+821328\,B^2\,b^{15}\,c^{16}\,d^{27}\,e^9-454686\,B^2\,b^{14}\,c^{17}\,d^{28}\,e^8+201648\,B^2\,b^{13}\,c^{18}\,d^{29}\,e^7-69252\,B^2\,b^{12}\,c^{19}\,d^{30}\,e^6+17576\,B^2\,b^{11}\,c^{20}\,d^{31}\,e^5-3074\,B^2\,b^{10}\,c^{21}\,d^{32}\,e^4+328\,B^2\,b^9\,c^{22}\,d^{33}\,e^3-16\,B^2\,b^8\,c^{23}\,d^{34}\,e^2\right)\right)\,\sqrt{\frac{\frac{49\,A^2\,b^2\,e^2}{4}+14\,A^2\,b\,c\,d\,e+4\,A^2\,c^2\,d^2-7\,A\,B\,b^2\,d\,e-4\,A\,B\,b\,c\,d^2+B^2\,b^2\,d^2}{b^6\,d^9}}-480\,A^3\,b^5\,c^{24}\,d^{29}\,e^4+3590\,A^3\,b^6\,c^{23}\,d^{28}\,e^5-17780\,A^3\,b^7\,c^{22}\,d^{27}\,e^6+62874\,A^3\,b^8\,c^{21}\,d^{26}\,e^7-157248\,A^3\,b^9\,c^{20}\,d^{25}\,e^8+254443\,A^3\,b^{10}\,c^{19}\,d^{24}\,e^9-163416\,A^3\,b^{11}\,c^{18}\,d^{23}\,e^{10}-380204\,A^3\,b^{12}\,c^{17}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{25}\,e^{15}-909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}+429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}-162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}+47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}-10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}+1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}-168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}+8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)\right)\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(-98\,A^2\,b^{28}\,c^3\,d^{12}\,e^{24}+1848\,A^2\,b^{27}\,c^4\,d^{13}\,e^{23}-16412\,A^2\,b^{26}\,c^5\,d^{14}\,e^{22}+91080\,A^2\,b^{25}\,c^6\,d^{15}\,e^{21}-353210\,A^2\,b^{24}\,c^7\,d^{16}\,e^{20}+1013232\,A^2\,b^{23}\,c^8\,d^{17}\,e^{19}-2217072\,A^2\,b^{22}\,c^9\,d^{18}\,e^{18}+3751968\,A^2\,b^{21}\,c^{10}\,d^{19}\,e^{17}-4903382\,A^2\,b^{20}\,c^{11}\,d^{20}\,e^{16}+4835160\,A^2\,b^{19}\,c^{12}\,d^{21}\,e^{15}-3343724\,A^2\,b^{18}\,c^{13}\,d^{22}\,e^{14}+1207368\,A^2\,b^{17}\,c^{14}\,d^{23}\,e^{13}+393646\,A^2\,b^{16}\,c^{15}\,d^{24}\,e^{12}-851136\,A^2\,b^{15}\,c^{16}\,d^{25}\,e^{11}+473880\,A^2\,b^{14}\,c^{17}\,d^{26}\,e^{10}+38544\,A^2\,b^{13}\,c^{18}\,d^{27}\,e^9-267432\,A^2\,b^{12}\,c^{19}\,d^{28}\,e^8+230912\,A^2\,b^{11}\,c^{20}\,d^{29}\,e^7-116512\,A^2\,b^{10}\,c^{21}\,d^{30}\,e^6+38720\,A^2\,b^9\,c^{22}\,d^{31}\,e^5-8404\,A^2\,b^8\,c^{23}\,d^{32}\,e^4+1088\,A^2\,b^7\,c^{24}\,d^{33}\,e^3-64\,A^2\,b^6\,c^{25}\,d^{34}\,e^2+56\,A\,B\,b^{28}\,c^3\,d^{13}\,e^{23}-1088\,A\,B\,b^{27}\,c^4\,d^{14}\,e^{22}+10000\,A\,B\,b^{26}\,c^5\,d^{15}\,e^{21}-57760\,A\,B\,b^{25}\,c^6\,d^{16}\,e^{20}+234840\,A\,B\,b^{24}\,c^7\,d^{17}\,e^{19}-713184\,A\,B\,b^{23}\,c^8\,d^{18}\,e^{18}+1674432\,A\,B\,b^{22}\,c^9\,d^{19}\,e^{17}-3100404\,A\,B\,b^{21}\,c^{10}\,d^{20}\,e^{16}+4568696\,A\,B\,b^{20}\,c^{11}\,d^{21}\,e^{15}-5345768\,A\,B\,b^{19}\,c^{12}\,d^{22}\,e^{14}+4868800\,A\,B\,b^{18}\,c^{13}\,d^{23}\,e^{13}-3244396\,A\,B\,b^{17}\,c^{14}\,d^{24}\,e^{12}+1244088\,A\,B\,b^{16}\,c^{15}\,d^{25}\,e^{11}+255408\,A\,B\,b^{15}\,c^{16}\,d^{26}\,e^{10}-863424\,A\,B\,b^{14}\,c^{17}\,d^{27}\,e^9+781428\,A\,B\,b^{13}\,c^{18}\,d^{28}\,e^8-452112\,A\,B\,b^{12}\,c^{19}\,d^{29}\,e^7+184216\,A\,B\,b^{11}\,c^{20}\,d^{30}\,e^6-52944\,A\,B\,b^{10}\,c^{21}\,d^{31}\,e^5+10252\,A\,B\,b^9\,c^{22}\,d^{32}\,e^4-1200\,A\,B\,b^8\,c^{23}\,d^{33}\,e^3+64\,A\,B\,b^7\,c^{24}\,d^{34}\,e^2-8\,B^2\,b^{28}\,c^3\,d^{14}\,e^{22}+160\,B^2\,b^{27}\,c^4\,d^{15}\,e^{21}-1520\,B^2\,b^{26}\,c^5\,d^{16}\,e^{20}+9120\,B^2\,b^{25}\,c^6\,d^{17}\,e^{19}-38760\,B^2\,b^{24}\,c^7\,d^{18}\,e^{18}+124032\,B^2\,b^{23}\,c^8\,d^{19}\,e^{17}-310242\,B^2\,b^{22}\,c^9\,d^{20}\,e^{16}+622176\,B^2\,b^{21}\,c^{10}\,d^{21}\,e^{15}-1019324\,B^2\,b^{20}\,c^{11}\,d^{22}\,e^{14}+1384168\,B^2\,b^{19}\,c^{12}\,d^{23}\,e^{13}-1574606\,B^2\,b^{18}\,c^{13}\,d^{24}\,e^{12}+1509384\,B^2\,b^{17}\,c^{14}\,d^{25}\,e^{11}-1218432\,B^2\,b^{16}\,c^{15}\,d^{26}\,e^{10}+821328\,B^2\,b^{15}\,c^{16}\,d^{27}\,e^9-454686\,B^2\,b^{14}\,c^{17}\,d^{28}\,e^8+201648\,B^2\,b^{13}\,c^{18}\,d^{29}\,e^7-69252\,B^2\,b^{12}\,c^{19}\,d^{30}\,e^6+17576\,B^2\,b^{11}\,c^{20}\,d^{31}\,e^5-3074\,B^2\,b^{10}\,c^{21}\,d^{32}\,e^4+328\,B^2\,b^9\,c^{22}\,d^{33}\,e^3-16\,B^2\,b^8\,c^{23}\,d^{34}\,e^2\right)+\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(-8\,b^{33}\,c^2\,d^{20}\,e^{23}+176\,b^{32}\,c^3\,d^{21}\,e^{22}-1840\,b^{31}\,c^4\,d^{22}\,e^{21}+12160\,b^{30}\,c^5\,d^{23}\,e^{20}-57000\,b^{29}\,c^6\,d^{24}\,e^{19}+201552\,b^{28}\,c^7\,d^{25}\,e^{18}-558144\,b^{27}\,c^8\,d^{26}\,e^{17}+1240320\,b^{26}\,c^9\,d^{27}\,e^{16}-2248080\,b^{25}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{24}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{23}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{22}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{21}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{20}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^{19}\,c^{16}\,d^{34}\,e^9+744192\,b^{18}\,c^{17}\,d^{35}\,e^8-286824\,b^{17}\,c^{18}\,d^{36}\,e^7+86640\,b^{16}\,c^{19}\,d^{37}\,e^6-19760\,b^{15}\,c^{20}\,d^{38}\,e^5+3200\,b^{14}\,c^{21}\,d^{39}\,e^4-328\,b^{13}\,c^{22}\,d^{40}\,e^3+16\,b^{12}\,c^{23}\,d^{41}\,e^2\right)+8\,A\,b^{10}\,c^{23}\,d^{37}\,e^3-148\,A\,b^{11}\,c^{22}\,d^{36}\,e^4+1160\,A\,b^{12}\,c^{21}\,d^{35}\,e^5-4760\,A\,b^{13}\,c^{20}\,d^{34}\,e^6+8036\,A\,b^{14}\,c^{19}\,d^{33}\,e^7+21868\,A\,b^{15}\,c^{18}\,d^{32}\,e^8-194304\,A\,b^{16}\,c^{17}\,d^{31}\,e^9+709280\,A\,b^{17}\,c^{16}\,d^{30}\,e^{10}-1744160\,A\,b^{18}\,c^{15}\,d^{29}\,e^{11}+3218072\,A\,b^{19}\,c^{14}\,d^{28}\,e^{12}-4654832\,A\,b^{20}\,c^{13}\,d^{27}\,e^{13}+5394480\,A\,b^{21}\,c^{12}\,d^{26}\,e^{14}-5063240\,A\,b^{22}\,c^{11}\,d^{25}\,e^{15}+3863800\,A\,b^{23}\,c^{10}\,d^{24}\,e^{16}-2393152\,A\,b^{24}\,c^9\,d^{23}\,e^{17}+1194528\,A\,b^{25}\,c^8\,d^{22}\,e^{18}-474056\,A\,b^{26}\,c^7\,d^{21}\,e^{19}+146300\,A\,b^{27}\,c^6\,d^{20}\,e^{20}-33880\,A\,b^{28}\,c^5\,d^{19}\,e^{21}+5544\,A\,b^{29}\,c^4\,d^{18}\,e^{22}-572\,A\,b^{30}\,c^3\,d^{17}\,e^{23}+28\,A\,b^{31}\,c^2\,d^{16}\,e^{24}-4\,B\,b^{11}\,c^{22}\,d^{37}\,e^3+144\,B\,b^{12}\,c^{21}\,d^{36}\,e^4-1840\,B\,b^{13}\,c^{20}\,d^{35}\,e^5+13160\,B\,b^{14}\,c^{19}\,d^{34}\,e^6-62328\,B\,b^{15}\,c^{18}\,d^{33}\,e^7+212800\,B\,b^{16}\,c^{17}\,d^{32}\,e^8-550432\,B\,b^{17}\,c^{16}\,d^{31}\,e^9+1113120\,B\,b^{18}\,c^{15}\,d^{30}\,e^{10}-1796600\,B\,b^{19}\,c^{14}\,d^{29}\,e^{11}+2345824\,B\,b^{20}\,c^{13}\,d^{28}\,e^{12}-2498496\,B\,b^{21}\,c^{12}\,d^{27}\,e^{13}+2179632\,B\,b^{22}\,c^{11}\,d^{26}\,e^{14}-1557920\,B\,b^{23}\,c^{10}\,d^{25}\,e^{15}+909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}-429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}+162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}-47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}+10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}-1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}+168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}-8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)\right)\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,1{}\mathrm{i}}{\left(\sqrt{d+e\,x}\,\left(-98\,A^2\,b^{28}\,c^3\,d^{12}\,e^{24}+1848\,A^2\,b^{27}\,c^4\,d^{13}\,e^{23}-16412\,A^2\,b^{26}\,c^5\,d^{14}\,e^{22}+91080\,A^2\,b^{25}\,c^6\,d^{15}\,e^{21}-353210\,A^2\,b^{24}\,c^7\,d^{16}\,e^{20}+1013232\,A^2\,b^{23}\,c^8\,d^{17}\,e^{19}-2217072\,A^2\,b^{22}\,c^9\,d^{18}\,e^{18}+3751968\,A^2\,b^{21}\,c^{10}\,d^{19}\,e^{17}-4903382\,A^2\,b^{20}\,c^{11}\,d^{20}\,e^{16}+4835160\,A^2\,b^{19}\,c^{12}\,d^{21}\,e^{15}-3343724\,A^2\,b^{18}\,c^{13}\,d^{22}\,e^{14}+1207368\,A^2\,b^{17}\,c^{14}\,d^{23}\,e^{13}+393646\,A^2\,b^{16}\,c^{15}\,d^{24}\,e^{12}-851136\,A^2\,b^{15}\,c^{16}\,d^{25}\,e^{11}+473880\,A^2\,b^{14}\,c^{17}\,d^{26}\,e^{10}+38544\,A^2\,b^{13}\,c^{18}\,d^{27}\,e^9-267432\,A^2\,b^{12}\,c^{19}\,d^{28}\,e^8+230912\,A^2\,b^{11}\,c^{20}\,d^{29}\,e^7-116512\,A^2\,b^{10}\,c^{21}\,d^{30}\,e^6+38720\,A^2\,b^9\,c^{22}\,d^{31}\,e^5-8404\,A^2\,b^8\,c^{23}\,d^{32}\,e^4+1088\,A^2\,b^7\,c^{24}\,d^{33}\,e^3-64\,A^2\,b^6\,c^{25}\,d^{34}\,e^2+56\,A\,B\,b^{28}\,c^3\,d^{13}\,e^{23}-1088\,A\,B\,b^{27}\,c^4\,d^{14}\,e^{22}+10000\,A\,B\,b^{26}\,c^5\,d^{15}\,e^{21}-57760\,A\,B\,b^{25}\,c^6\,d^{16}\,e^{20}+234840\,A\,B\,b^{24}\,c^7\,d^{17}\,e^{19}-713184\,A\,B\,b^{23}\,c^8\,d^{18}\,e^{18}+1674432\,A\,B\,b^{22}\,c^9\,d^{19}\,e^{17}-3100404\,A\,B\,b^{21}\,c^{10}\,d^{20}\,e^{16}+4568696\,A\,B\,b^{20}\,c^{11}\,d^{21}\,e^{15}-5345768\,A\,B\,b^{19}\,c^{12}\,d^{22}\,e^{14}+4868800\,A\,B\,b^{18}\,c^{13}\,d^{23}\,e^{13}-3244396\,A\,B\,b^{17}\,c^{14}\,d^{24}\,e^{12}+1244088\,A\,B\,b^{16}\,c^{15}\,d^{25}\,e^{11}+255408\,A\,B\,b^{15}\,c^{16}\,d^{26}\,e^{10}-863424\,A\,B\,b^{14}\,c^{17}\,d^{27}\,e^9+781428\,A\,B\,b^{13}\,c^{18}\,d^{28}\,e^8-452112\,A\,B\,b^{12}\,c^{19}\,d^{29}\,e^7+184216\,A\,B\,b^{11}\,c^{20}\,d^{30}\,e^6-52944\,A\,B\,b^{10}\,c^{21}\,d^{31}\,e^5+10252\,A\,B\,b^9\,c^{22}\,d^{32}\,e^4-1200\,A\,B\,b^8\,c^{23}\,d^{33}\,e^3+64\,A\,B\,b^7\,c^{24}\,d^{34}\,e^2-8\,B^2\,b^{28}\,c^3\,d^{14}\,e^{22}+160\,B^2\,b^{27}\,c^4\,d^{15}\,e^{21}-1520\,B^2\,b^{26}\,c^5\,d^{16}\,e^{20}+9120\,B^2\,b^{25}\,c^6\,d^{17}\,e^{19}-38760\,B^2\,b^{24}\,c^7\,d^{18}\,e^{18}+124032\,B^2\,b^{23}\,c^8\,d^{19}\,e^{17}-310242\,B^2\,b^{22}\,c^9\,d^{20}\,e^{16}+622176\,B^2\,b^{21}\,c^{10}\,d^{21}\,e^{15}-1019324\,B^2\,b^{20}\,c^{11}\,d^{22}\,e^{14}+1384168\,B^2\,b^{19}\,c^{12}\,d^{23}\,e^{13}-1574606\,B^2\,b^{18}\,c^{13}\,d^{24}\,e^{12}+1509384\,B^2\,b^{17}\,c^{14}\,d^{25}\,e^{11}-1218432\,B^2\,b^{16}\,c^{15}\,d^{26}\,e^{10}+821328\,B^2\,b^{15}\,c^{16}\,d^{27}\,e^9-454686\,B^2\,b^{14}\,c^{17}\,d^{28}\,e^8+201648\,B^2\,b^{13}\,c^{18}\,d^{29}\,e^7-69252\,B^2\,b^{12}\,c^{19}\,d^{30}\,e^6+17576\,B^2\,b^{11}\,c^{20}\,d^{31}\,e^5-3074\,B^2\,b^{10}\,c^{21}\,d^{32}\,e^4+328\,B^2\,b^9\,c^{22}\,d^{33}\,e^3-16\,B^2\,b^8\,c^{23}\,d^{34}\,e^2\right)+\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(-8\,b^{33}\,c^2\,d^{20}\,e^{23}+176\,b^{32}\,c^3\,d^{21}\,e^{22}-1840\,b^{31}\,c^4\,d^{22}\,e^{21}+12160\,b^{30}\,c^5\,d^{23}\,e^{20}-57000\,b^{29}\,c^6\,d^{24}\,e^{19}+201552\,b^{28}\,c^7\,d^{25}\,e^{18}-558144\,b^{27}\,c^8\,d^{26}\,e^{17}+1240320\,b^{26}\,c^9\,d^{27}\,e^{16}-2248080\,b^{25}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{24}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{23}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{22}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{21}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{20}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^{19}\,c^{16}\,d^{34}\,e^9+744192\,b^{18}\,c^{17}\,d^{35}\,e^8-286824\,b^{17}\,c^{18}\,d^{36}\,e^7+86640\,b^{16}\,c^{19}\,d^{37}\,e^6-19760\,b^{15}\,c^{20}\,d^{38}\,e^5+3200\,b^{14}\,c^{21}\,d^{39}\,e^4-328\,b^{13}\,c^{22}\,d^{40}\,e^3+16\,b^{12}\,c^{23}\,d^{41}\,e^2\right)+8\,A\,b^{10}\,c^{23}\,d^{37}\,e^3-148\,A\,b^{11}\,c^{22}\,d^{36}\,e^4+1160\,A\,b^{12}\,c^{21}\,d^{35}\,e^5-4760\,A\,b^{13}\,c^{20}\,d^{34}\,e^6+8036\,A\,b^{14}\,c^{19}\,d^{33}\,e^7+21868\,A\,b^{15}\,c^{18}\,d^{32}\,e^8-194304\,A\,b^{16}\,c^{17}\,d^{31}\,e^9+709280\,A\,b^{17}\,c^{16}\,d^{30}\,e^{10}-1744160\,A\,b^{18}\,c^{15}\,d^{29}\,e^{11}+3218072\,A\,b^{19}\,c^{14}\,d^{28}\,e^{12}-4654832\,A\,b^{20}\,c^{13}\,d^{27}\,e^{13}+5394480\,A\,b^{21}\,c^{12}\,d^{26}\,e^{14}-5063240\,A\,b^{22}\,c^{11}\,d^{25}\,e^{15}+3863800\,A\,b^{23}\,c^{10}\,d^{24}\,e^{16}-2393152\,A\,b^{24}\,c^9\,d^{23}\,e^{17}+1194528\,A\,b^{25}\,c^8\,d^{22}\,e^{18}-474056\,A\,b^{26}\,c^7\,d^{21}\,e^{19}+146300\,A\,b^{27}\,c^6\,d^{20}\,e^{20}-33880\,A\,b^{28}\,c^5\,d^{19}\,e^{21}+5544\,A\,b^{29}\,c^4\,d^{18}\,e^{22}-572\,A\,b^{30}\,c^3\,d^{17}\,e^{23}+28\,A\,b^{31}\,c^2\,d^{16}\,e^{24}-4\,B\,b^{11}\,c^{22}\,d^{37}\,e^3+144\,B\,b^{12}\,c^{21}\,d^{36}\,e^4-1840\,B\,b^{13}\,c^{20}\,d^{35}\,e^5+13160\,B\,b^{14}\,c^{19}\,d^{34}\,e^6-62328\,B\,b^{15}\,c^{18}\,d^{33}\,e^7+212800\,B\,b^{16}\,c^{17}\,d^{32}\,e^8-550432\,B\,b^{17}\,c^{16}\,d^{31}\,e^9+1113120\,B\,b^{18}\,c^{15}\,d^{30}\,e^{10}-1796600\,B\,b^{19}\,c^{14}\,d^{29}\,e^{11}+2345824\,B\,b^{20}\,c^{13}\,d^{28}\,e^{12}-2498496\,B\,b^{21}\,c^{12}\,d^{27}\,e^{13}+2179632\,B\,b^{22}\,c^{11}\,d^{26}\,e^{14}-1557920\,B\,b^{23}\,c^{10}\,d^{25}\,e^{15}+909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}-429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}+162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}-47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}+10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}-1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}+168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}-8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)\right)\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}-\left(\sqrt{d+e\,x}\,\left(-98\,A^2\,b^{28}\,c^3\,d^{12}\,e^{24}+1848\,A^2\,b^{27}\,c^4\,d^{13}\,e^{23}-16412\,A^2\,b^{26}\,c^5\,d^{14}\,e^{22}+91080\,A^2\,b^{25}\,c^6\,d^{15}\,e^{21}-353210\,A^2\,b^{24}\,c^7\,d^{16}\,e^{20}+1013232\,A^2\,b^{23}\,c^8\,d^{17}\,e^{19}-2217072\,A^2\,b^{22}\,c^9\,d^{18}\,e^{18}+3751968\,A^2\,b^{21}\,c^{10}\,d^{19}\,e^{17}-4903382\,A^2\,b^{20}\,c^{11}\,d^{20}\,e^{16}+4835160\,A^2\,b^{19}\,c^{12}\,d^{21}\,e^{15}-3343724\,A^2\,b^{18}\,c^{13}\,d^{22}\,e^{14}+1207368\,A^2\,b^{17}\,c^{14}\,d^{23}\,e^{13}+393646\,A^2\,b^{16}\,c^{15}\,d^{24}\,e^{12}-851136\,A^2\,b^{15}\,c^{16}\,d^{25}\,e^{11}+473880\,A^2\,b^{14}\,c^{17}\,d^{26}\,e^{10}+38544\,A^2\,b^{13}\,c^{18}\,d^{27}\,e^9-267432\,A^2\,b^{12}\,c^{19}\,d^{28}\,e^8+230912\,A^2\,b^{11}\,c^{20}\,d^{29}\,e^7-116512\,A^2\,b^{10}\,c^{21}\,d^{30}\,e^6+38720\,A^2\,b^9\,c^{22}\,d^{31}\,e^5-8404\,A^2\,b^8\,c^{23}\,d^{32}\,e^4+1088\,A^2\,b^7\,c^{24}\,d^{33}\,e^3-64\,A^2\,b^6\,c^{25}\,d^{34}\,e^2+56\,A\,B\,b^{28}\,c^3\,d^{13}\,e^{23}-1088\,A\,B\,b^{27}\,c^4\,d^{14}\,e^{22}+10000\,A\,B\,b^{26}\,c^5\,d^{15}\,e^{21}-57760\,A\,B\,b^{25}\,c^6\,d^{16}\,e^{20}+234840\,A\,B\,b^{24}\,c^7\,d^{17}\,e^{19}-713184\,A\,B\,b^{23}\,c^8\,d^{18}\,e^{18}+1674432\,A\,B\,b^{22}\,c^9\,d^{19}\,e^{17}-3100404\,A\,B\,b^{21}\,c^{10}\,d^{20}\,e^{16}+4568696\,A\,B\,b^{20}\,c^{11}\,d^{21}\,e^{15}-5345768\,A\,B\,b^{19}\,c^{12}\,d^{22}\,e^{14}+4868800\,A\,B\,b^{18}\,c^{13}\,d^{23}\,e^{13}-3244396\,A\,B\,b^{17}\,c^{14}\,d^{24}\,e^{12}+1244088\,A\,B\,b^{16}\,c^{15}\,d^{25}\,e^{11}+255408\,A\,B\,b^{15}\,c^{16}\,d^{26}\,e^{10}-863424\,A\,B\,b^{14}\,c^{17}\,d^{27}\,e^9+781428\,A\,B\,b^{13}\,c^{18}\,d^{28}\,e^8-452112\,A\,B\,b^{12}\,c^{19}\,d^{29}\,e^7+184216\,A\,B\,b^{11}\,c^{20}\,d^{30}\,e^6-52944\,A\,B\,b^{10}\,c^{21}\,d^{31}\,e^5+10252\,A\,B\,b^9\,c^{22}\,d^{32}\,e^4-1200\,A\,B\,b^8\,c^{23}\,d^{33}\,e^3+64\,A\,B\,b^7\,c^{24}\,d^{34}\,e^2-8\,B^2\,b^{28}\,c^3\,d^{14}\,e^{22}+160\,B^2\,b^{27}\,c^4\,d^{15}\,e^{21}-1520\,B^2\,b^{26}\,c^5\,d^{16}\,e^{20}+9120\,B^2\,b^{25}\,c^6\,d^{17}\,e^{19}-38760\,B^2\,b^{24}\,c^7\,d^{18}\,e^{18}+124032\,B^2\,b^{23}\,c^8\,d^{19}\,e^{17}-310242\,B^2\,b^{22}\,c^9\,d^{20}\,e^{16}+622176\,B^2\,b^{21}\,c^{10}\,d^{21}\,e^{15}-1019324\,B^2\,b^{20}\,c^{11}\,d^{22}\,e^{14}+1384168\,B^2\,b^{19}\,c^{12}\,d^{23}\,e^{13}-1574606\,B^2\,b^{18}\,c^{13}\,d^{24}\,e^{12}+1509384\,B^2\,b^{17}\,c^{14}\,d^{25}\,e^{11}-1218432\,B^2\,b^{16}\,c^{15}\,d^{26}\,e^{10}+821328\,B^2\,b^{15}\,c^{16}\,d^{27}\,e^9-454686\,B^2\,b^{14}\,c^{17}\,d^{28}\,e^8+201648\,B^2\,b^{13}\,c^{18}\,d^{29}\,e^7-69252\,B^2\,b^{12}\,c^{19}\,d^{30}\,e^6+17576\,B^2\,b^{11}\,c^{20}\,d^{31}\,e^5-3074\,B^2\,b^{10}\,c^{21}\,d^{32}\,e^4+328\,B^2\,b^9\,c^{22}\,d^{33}\,e^3-16\,B^2\,b^8\,c^{23}\,d^{34}\,e^2\right)+\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,\left(-8\,b^{33}\,c^2\,d^{20}\,e^{23}+176\,b^{32}\,c^3\,d^{21}\,e^{22}-1840\,b^{31}\,c^4\,d^{22}\,e^{21}+12160\,b^{30}\,c^5\,d^{23}\,e^{20}-57000\,b^{29}\,c^6\,d^{24}\,e^{19}+201552\,b^{28}\,c^7\,d^{25}\,e^{18}-558144\,b^{27}\,c^8\,d^{26}\,e^{17}+1240320\,b^{26}\,c^9\,d^{27}\,e^{16}-2248080\,b^{25}\,c^{10}\,d^{28}\,e^{15}+3359200\,b^{24}\,c^{11}\,d^{29}\,e^{14}-4165408\,b^{23}\,c^{12}\,d^{30}\,e^{13}+4299776\,b^{22}\,c^{13}\,d^{31}\,e^{12}-3695120\,b^{21}\,c^{14}\,d^{32}\,e^{11}+2635680\,b^{20}\,c^{15}\,d^{33}\,e^{10}-1550400\,b^{19}\,c^{16}\,d^{34}\,e^9+744192\,b^{18}\,c^{17}\,d^{35}\,e^8-286824\,b^{17}\,c^{18}\,d^{36}\,e^7+86640\,b^{16}\,c^{19}\,d^{37}\,e^6-19760\,b^{15}\,c^{20}\,d^{38}\,e^5+3200\,b^{14}\,c^{21}\,d^{39}\,e^4-328\,b^{13}\,c^{22}\,d^{40}\,e^3+16\,b^{12}\,c^{23}\,d^{41}\,e^2\right)-8\,A\,b^{10}\,c^{23}\,d^{37}\,e^3+148\,A\,b^{11}\,c^{22}\,d^{36}\,e^4-1160\,A\,b^{12}\,c^{21}\,d^{35}\,e^5+4760\,A\,b^{13}\,c^{20}\,d^{34}\,e^6-8036\,A\,b^{14}\,c^{19}\,d^{33}\,e^7-21868\,A\,b^{15}\,c^{18}\,d^{32}\,e^8+194304\,A\,b^{16}\,c^{17}\,d^{31}\,e^9-709280\,A\,b^{17}\,c^{16}\,d^{30}\,e^{10}+1744160\,A\,b^{18}\,c^{15}\,d^{29}\,e^{11}-3218072\,A\,b^{19}\,c^{14}\,d^{28}\,e^{12}+4654832\,A\,b^{20}\,c^{13}\,d^{27}\,e^{13}-5394480\,A\,b^{21}\,c^{12}\,d^{26}\,e^{14}+5063240\,A\,b^{22}\,c^{11}\,d^{25}\,e^{15}-3863800\,A\,b^{23}\,c^{10}\,d^{24}\,e^{16}+2393152\,A\,b^{24}\,c^9\,d^{23}\,e^{17}-1194528\,A\,b^{25}\,c^8\,d^{22}\,e^{18}+474056\,A\,b^{26}\,c^7\,d^{21}\,e^{19}-146300\,A\,b^{27}\,c^6\,d^{20}\,e^{20}+33880\,A\,b^{28}\,c^5\,d^{19}\,e^{21}-5544\,A\,b^{29}\,c^4\,d^{18}\,e^{22}+572\,A\,b^{30}\,c^3\,d^{17}\,e^{23}-28\,A\,b^{31}\,c^2\,d^{16}\,e^{24}+4\,B\,b^{11}\,c^{22}\,d^{37}\,e^3-144\,B\,b^{12}\,c^{21}\,d^{36}\,e^4+1840\,B\,b^{13}\,c^{20}\,d^{35}\,e^5-13160\,B\,b^{14}\,c^{19}\,d^{34}\,e^6+62328\,B\,b^{15}\,c^{18}\,d^{33}\,e^7-212800\,B\,b^{16}\,c^{17}\,d^{32}\,e^8+550432\,B\,b^{17}\,c^{16}\,d^{31}\,e^9-1113120\,B\,b^{18}\,c^{15}\,d^{30}\,e^{10}+1796600\,B\,b^{19}\,c^{14}\,d^{29}\,e^{11}-2345824\,B\,b^{20}\,c^{13}\,d^{28}\,e^{12}+2498496\,B\,b^{21}\,c^{12}\,d^{27}\,e^{13}-2179632\,B\,b^{22}\,c^{11}\,d^{26}\,e^{14}+1557920\,B\,b^{23}\,c^{10}\,d^{25}\,e^{15}-909120\,B\,b^{24}\,c^9\,d^{24}\,e^{16}+429664\,B\,b^{25}\,c^8\,d^{23}\,e^{17}-162208\,B\,b^{26}\,c^7\,d^{22}\,e^{18}+47844\,B\,b^{27}\,c^6\,d^{21}\,e^{19}-10640\,B\,b^{28}\,c^5\,d^{20}\,e^{20}+1680\,B\,b^{29}\,c^4\,d^{19}\,e^{21}-168\,B\,b^{30}\,c^3\,d^{18}\,e^{22}+8\,B\,b^{31}\,c^2\,d^{17}\,e^{23}\right)\right)\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}-64\,A^3\,b^4\,c^{25}\,d^{30}\,e^3+960\,A^3\,b^5\,c^{24}\,d^{29}\,e^4-7180\,A^3\,b^6\,c^{23}\,d^{28}\,e^5+35560\,A^3\,b^7\,c^{22}\,d^{27}\,e^6-125748\,A^3\,b^8\,c^{21}\,d^{26}\,e^7+314496\,A^3\,b^9\,c^{20}\,d^{25}\,e^8-508886\,A^3\,b^{10}\,c^{19}\,d^{24}\,e^9+326832\,A^3\,b^{11}\,c^{18}\,d^{23}\,e^{10}+760408\,A^3\,b^{12}\,c^{17}\,d^{22}\,e^{11}-2806584\,A^3\,b^{13}\,c^{16}\,d^{21}\,e^{12}+4917990\,A^3\,b^{14}\,c^{15}\,d^{20}\,e^{13}-5803448\,A^3\,b^{15}\,c^{14}\,d^{19}\,e^{14}+4974956\,A^3\,b^{16}\,c^{13}\,d^{18}\,e^{15}-3162096\,A^3\,b^{17}\,c^{12}\,d^{17}\,e^{16}+1483782\,A^3\,b^{18}\,c^{11}\,d^{16}\,e^{17}-501472\,A^3\,b^{19}\,c^{10}\,d^{15}\,e^{18}+115824\,A^3\,b^{20}\,c^9\,d^{14}\,e^{19}-16408\,A^3\,b^{21}\,c^8\,d^{13}\,e^{20}+1078\,A^3\,b^{22}\,c^7\,d^{12}\,e^{21}+8\,B^3\,b^7\,c^{22}\,d^{30}\,e^3-36\,B^3\,b^8\,c^{21}\,d^{29}\,e^4-688\,B^3\,b^9\,c^{20}\,d^{28}\,e^5+8456\,B^3\,b^{10}\,c^{19}\,d^{27}\,e^6-45696\,B^3\,b^{11}\,c^{18}\,d^{26}\,e^7+153412\,B^3\,b^{12}\,c^{17}\,d^{25}\,e^8-357280\,B^3\,b^{13}\,c^{16}\,d^{24}\,e^9+608256\,B^3\,b^{14}\,c^{15}\,d^{23}\,e^{10}-778272\,B^3\,b^{15}\,c^{14}\,d^{22}\,e^{11}+758692\,B^3\,b^{16}\,c^{13}\,d^{21}\,e^{12}-565488\,B^3\,b^{17}\,c^{12}\,d^{20}\,e^{13}+320488\,B^3\,b^{18}\,c^{11}\,d^{19}\,e^{14}-135968\,B^3\,b^{19}\,c^{10}\,d^{18}\,e^{15}+41916\,B^3\,b^{20}\,c^9\,d^{17}\,e^{16}-8896\,B^3\,b^{21}\,c^8\,d^{16}\,e^{17}+1168\,B^3\,b^{22}\,c^7\,d^{15}\,e^{18}-72\,B^3\,b^{23}\,c^6\,d^{14}\,e^{19}-48\,A\,B^2\,b^6\,c^{23}\,d^{30}\,e^3+384\,A\,B^2\,b^7\,c^{22}\,d^{29}\,e^4+222\,A\,B^2\,b^8\,c^{21}\,d^{28}\,e^5-13272\,A\,B^2\,b^9\,c^{20}\,d^{27}\,e^6+65940\,A\,B^2\,b^{10}\,c^{19}\,d^{26}\,e^7-150864\,A\,B^2\,b^{11}\,c^{18}\,d^{25}\,e^8+111762\,A\,B^2\,b^{12}\,c^{17}\,d^{24}\,e^9+345840\,A\,B^2\,b^{13}\,c^{16}\,d^{23}\,e^{10}-1328976\,A\,B^2\,b^{14}\,c^{15}\,d^{22}\,e^{11}+2422200\,A\,B^2\,b^{15}\,c^{14}\,d^{21}\,e^{12}-2923998\,A\,B^2\,b^{16}\,c^{13}\,d^{20}\,e^{13}+2528904\,A\,B^2\,b^{17}\,c^{12}\,d^{19}\,e^{14}-1604316\,A\,B^2\,b^{18}\,c^{11}\,d^{18}\,e^{15}+745248\,A\,B^2\,b^{19}\,c^{10}\,d^{17}\,e^{16}-247890\,A\,B^2\,b^{20}\,c^9\,d^{16}\,e^{17}+56160\,A\,B^2\,b^{21}\,c^8\,d^{15}\,e^{18}-7800\,A\,B^2\,b^{22}\,c^7\,d^{14}\,e^{19}+504\,A\,B^2\,b^{23}\,c^6\,d^{13}\,e^{20}+96\,A^2\,B\,b^5\,c^{24}\,d^{30}\,e^3-1104\,A^2\,B\,b^6\,c^{23}\,d^{29}\,e^4+5898\,A^2\,B\,b^7\,c^{22}\,d^{28}\,e^5-23688\,A^2\,B\,b^8\,c^{21}\,d^{27}\,e^6+95256\,A^2\,B\,b^9\,c^{20}\,d^{26}\,e^7-352548\,A^2\,B\,b^{10}\,c^{19}\,d^{25}\,e^8+1005564\,A^2\,B\,b^{11}\,c^{18}\,d^{24}\,e^9-2061552\,A^2\,B\,b^{12}\,c^{17}\,d^{23}\,e^{10}+2961024\,A^2\,B\,b^{13}\,c^{16}\,d^{22}\,e^{11}-2823612\,A^2\,B\,b^{14}\,c^{15}\,d^{21}\,e^{12}+1406328\,A^2\,B\,b^{15}\,c^{14}\,d^{20}\,e^{13}+410424\,A^2\,B\,b^{16}\,c^{13}\,d^{19}\,e^{14}-1459080\,A^2\,B\,b^{17}\,c^{12}\,d^{18}\,e^{15}+1416996\,A^2\,B\,b^{18}\,c^{11}\,d^{17}\,e^{16}-834444\,A^2\,B\,b^{19}\,c^{10}\,d^{16}\,e^{17}+325824\,A^2\,B\,b^{20}\,c^9\,d^{15}\,e^{18}-83184\,A^2\,B\,b^{21}\,c^8\,d^{14}\,e^{19}+12684\,A^2\,B\,b^{22}\,c^7\,d^{13}\,e^{20}-882\,A^2\,B\,b^{23}\,c^6\,d^{12}\,e^{21}}\right)\,\sqrt{-\frac{121\,A^2\,b^2\,c^9\,e^2-88\,A^2\,b\,c^{10}\,d\,e+16\,A^2\,c^{11}\,d^2-198\,A\,B\,b^3\,c^8\,e^2+116\,A\,B\,b^2\,c^9\,d\,e-16\,A\,B\,b\,c^{10}\,d^2+81\,B^2\,b^4\,c^7\,e^2-36\,B^2\,b^3\,c^8\,d\,e+4\,B^2\,b^2\,c^9\,d^2}{4\,\left(b^{15}\,e^9-9\,b^{14}\,c\,d\,e^8+36\,b^{13}\,c^2\,d^2\,e^7-84\,b^{12}\,c^3\,d^3\,e^6+126\,b^{11}\,c^4\,d^4\,e^5-126\,b^{10}\,c^5\,d^5\,e^4+84\,b^9\,c^6\,d^6\,e^3-36\,b^8\,c^7\,d^7\,e^2+9\,b^7\,c^8\,d^8\,e-b^6\,c^9\,d^9\right)}}\,2{}\mathrm{i}","Not used",1,"log((((49*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 28*A*B*b^2*d*e + 56*A^2*b*c*d*e)/(4*b^6*d^9))^(1/2)*((d + e*x)^(1/2)*((49*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 28*A*B*b^2*d*e + 56*A^2*b*c*d*e)/(4*b^6*d^9))^(1/2)*(16*b^12*c^23*d^41*e^2 - 328*b^13*c^22*d^40*e^3 + 3200*b^14*c^21*d^39*e^4 - 19760*b^15*c^20*d^38*e^5 + 86640*b^16*c^19*d^37*e^6 - 286824*b^17*c^18*d^36*e^7 + 744192*b^18*c^17*d^35*e^8 - 1550400*b^19*c^16*d^34*e^9 + 2635680*b^20*c^15*d^33*e^10 - 3695120*b^21*c^14*d^32*e^11 + 4299776*b^22*c^13*d^31*e^12 - 4165408*b^23*c^12*d^30*e^13 + 3359200*b^24*c^11*d^29*e^14 - 2248080*b^25*c^10*d^28*e^15 + 1240320*b^26*c^9*d^27*e^16 - 558144*b^27*c^8*d^26*e^17 + 201552*b^28*c^7*d^25*e^18 - 57000*b^29*c^6*d^24*e^19 + 12160*b^30*c^5*d^23*e^20 - 1840*b^31*c^4*d^22*e^21 + 176*b^32*c^3*d^21*e^22 - 8*b^33*c^2*d^20*e^23) - 8*A*b^10*c^23*d^37*e^3 + 148*A*b^11*c^22*d^36*e^4 - 1160*A*b^12*c^21*d^35*e^5 + 4760*A*b^13*c^20*d^34*e^6 - 8036*A*b^14*c^19*d^33*e^7 - 21868*A*b^15*c^18*d^32*e^8 + 194304*A*b^16*c^17*d^31*e^9 - 709280*A*b^17*c^16*d^30*e^10 + 1744160*A*b^18*c^15*d^29*e^11 - 3218072*A*b^19*c^14*d^28*e^12 + 4654832*A*b^20*c^13*d^27*e^13 - 5394480*A*b^21*c^12*d^26*e^14 + 5063240*A*b^22*c^11*d^25*e^15 - 3863800*A*b^23*c^10*d^24*e^16 + 2393152*A*b^24*c^9*d^23*e^17 - 1194528*A*b^25*c^8*d^22*e^18 + 474056*A*b^26*c^7*d^21*e^19 - 146300*A*b^27*c^6*d^20*e^20 + 33880*A*b^28*c^5*d^19*e^21 - 5544*A*b^29*c^4*d^18*e^22 + 572*A*b^30*c^3*d^17*e^23 - 28*A*b^31*c^2*d^16*e^24 + 4*B*b^11*c^22*d^37*e^3 - 144*B*b^12*c^21*d^36*e^4 + 1840*B*b^13*c^20*d^35*e^5 - 13160*B*b^14*c^19*d^34*e^6 + 62328*B*b^15*c^18*d^33*e^7 - 212800*B*b^16*c^17*d^32*e^8 + 550432*B*b^17*c^16*d^31*e^9 - 1113120*B*b^18*c^15*d^30*e^10 + 1796600*B*b^19*c^14*d^29*e^11 - 2345824*B*b^20*c^13*d^28*e^12 + 2498496*B*b^21*c^12*d^27*e^13 - 2179632*B*b^22*c^11*d^26*e^14 + 1557920*B*b^23*c^10*d^25*e^15 - 909120*B*b^24*c^9*d^24*e^16 + 429664*B*b^25*c^8*d^23*e^17 - 162208*B*b^26*c^7*d^22*e^18 + 47844*B*b^27*c^6*d^21*e^19 - 10640*B*b^28*c^5*d^20*e^20 + 1680*B*b^29*c^4*d^19*e^21 - 168*B*b^30*c^3*d^18*e^22 + 8*B*b^31*c^2*d^17*e^23) + (d + e*x)^(1/2)*(1088*A^2*b^7*c^24*d^33*e^3 - 64*A^2*b^6*c^25*d^34*e^2 - 8404*A^2*b^8*c^23*d^32*e^4 + 38720*A^2*b^9*c^22*d^31*e^5 - 116512*A^2*b^10*c^21*d^30*e^6 + 230912*A^2*b^11*c^20*d^29*e^7 - 267432*A^2*b^12*c^19*d^28*e^8 + 38544*A^2*b^13*c^18*d^27*e^9 + 473880*A^2*b^14*c^17*d^26*e^10 - 851136*A^2*b^15*c^16*d^25*e^11 + 393646*A^2*b^16*c^15*d^24*e^12 + 1207368*A^2*b^17*c^14*d^23*e^13 - 3343724*A^2*b^18*c^13*d^22*e^14 + 4835160*A^2*b^19*c^12*d^21*e^15 - 4903382*A^2*b^20*c^11*d^20*e^16 + 3751968*A^2*b^21*c^10*d^19*e^17 - 2217072*A^2*b^22*c^9*d^18*e^18 + 1013232*A^2*b^23*c^8*d^17*e^19 - 353210*A^2*b^24*c^7*d^16*e^20 + 91080*A^2*b^25*c^6*d^15*e^21 - 16412*A^2*b^26*c^5*d^14*e^22 + 1848*A^2*b^27*c^4*d^13*e^23 - 98*A^2*b^28*c^3*d^12*e^24 - 16*B^2*b^8*c^23*d^34*e^2 + 328*B^2*b^9*c^22*d^33*e^3 - 3074*B^2*b^10*c^21*d^32*e^4 + 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372624*A*B^2*b^19*c^10*d^17*e^16 + 123945*A*B^2*b^20*c^9*d^16*e^17 - 28080*A*B^2*b^21*c^8*d^15*e^18 + 3900*A*B^2*b^22*c^7*d^14*e^19 - 252*A*B^2*b^23*c^6*d^13*e^20 - 48*A^2*B*b^5*c^24*d^30*e^3 + 552*A^2*B*b^6*c^23*d^29*e^4 - 2949*A^2*B*b^7*c^22*d^28*e^5 + 11844*A^2*B*b^8*c^21*d^27*e^6 - 47628*A^2*B*b^9*c^20*d^26*e^7 + 176274*A^2*B*b^10*c^19*d^25*e^8 - 502782*A^2*B*b^11*c^18*d^24*e^9 + 1030776*A^2*B*b^12*c^17*d^23*e^10 - 1480512*A^2*B*b^13*c^16*d^22*e^11 + 1411806*A^2*B*b^14*c^15*d^21*e^12 - 703164*A^2*B*b^15*c^14*d^20*e^13 - 205212*A^2*B*b^16*c^13*d^19*e^14 + 729540*A^2*B*b^17*c^12*d^18*e^15 - 708498*A^2*B*b^18*c^11*d^17*e^16 + 417222*A^2*B*b^19*c^10*d^16*e^17 - 162912*A^2*B*b^20*c^9*d^15*e^18 + 41592*A^2*B*b^21*c^8*d^14*e^19 - 6342*A^2*B*b^22*c^7*d^13*e^20 + 441*A^2*B*b^23*c^6*d^12*e^21)*((49*A^2*b^2*e^2 + 16*A^2*c^2*d^2 + 4*B^2*b^2*d^2 - 16*A*B*b*c*d^2 - 28*A*B*b^2*d*e + 56*A^2*b*c*d*e)/(4*b^6*d^9))^(1/2) - log(32*A^3*b^4*c^25*d^30*e^3 - ((((49*A^2*b^2*e^2)/4 + 4*A^2*c^2*d^2 + 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194304*A*b^16*c^17*d^31*e^9 + 709280*A*b^17*c^16*d^30*e^10 - 1744160*A*b^18*c^15*d^29*e^11 + 3218072*A*b^19*c^14*d^28*e^12 - 4654832*A*b^20*c^13*d^27*e^13 + 5394480*A*b^21*c^12*d^26*e^14 - 5063240*A*b^22*c^11*d^25*e^15 + 3863800*A*b^23*c^10*d^24*e^16 - 2393152*A*b^24*c^9*d^23*e^17 + 1194528*A*b^25*c^8*d^22*e^18 - 474056*A*b^26*c^7*d^21*e^19 + 146300*A*b^27*c^6*d^20*e^20 - 33880*A*b^28*c^5*d^19*e^21 + 5544*A*b^29*c^4*d^18*e^22 - 572*A*b^30*c^3*d^17*e^23 + 28*A*b^31*c^2*d^16*e^24 - 4*B*b^11*c^22*d^37*e^3 + 144*B*b^12*c^21*d^36*e^4 - 1840*B*b^13*c^20*d^35*e^5 + 13160*B*b^14*c^19*d^34*e^6 - 62328*B*b^15*c^18*d^33*e^7 + 212800*B*b^16*c^17*d^32*e^8 - 550432*B*b^17*c^16*d^31*e^9 + 1113120*B*b^18*c^15*d^30*e^10 - 1796600*B*b^19*c^14*d^29*e^11 + 2345824*B*b^20*c^13*d^28*e^12 - 2498496*B*b^21*c^12*d^27*e^13 + 2179632*B*b^22*c^11*d^26*e^14 - 1557920*B*b^23*c^10*d^25*e^15 + 909120*B*b^24*c^9*d^24*e^16 - 429664*B*b^25*c^8*d^23*e^17 + 162208*B*b^26*c^7*d^22*e^18 - 47844*B*b^27*c^6*d^21*e^19 + 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116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2)*(16*b^12*c^23*d^41*e^2 - 328*b^13*c^22*d^40*e^3 + 3200*b^14*c^21*d^39*e^4 - 19760*b^15*c^20*d^38*e^5 + 86640*b^16*c^19*d^37*e^6 - 286824*b^17*c^18*d^36*e^7 + 744192*b^18*c^17*d^35*e^8 - 1550400*b^19*c^16*d^34*e^9 + 2635680*b^20*c^15*d^33*e^10 - 3695120*b^21*c^14*d^32*e^11 + 4299776*b^22*c^13*d^31*e^12 - 4165408*b^23*c^12*d^30*e^13 + 3359200*b^24*c^11*d^29*e^14 - 2248080*b^25*c^10*d^28*e^15 + 1240320*b^26*c^9*d^27*e^16 - 558144*b^27*c^8*d^26*e^17 + 201552*b^28*c^7*d^25*e^18 - 57000*b^29*c^6*d^24*e^19 + 12160*b^30*c^5*d^23*e^20 - 1840*b^31*c^4*d^22*e^21 + 176*b^32*c^3*d^21*e^22 - 8*b^33*c^2*d^20*e^23) + 8*A*b^10*c^23*d^37*e^3 - 148*A*b^11*c^22*d^36*e^4 + 1160*A*b^12*c^21*d^35*e^5 - 4760*A*b^13*c^20*d^34*e^6 + 8036*A*b^14*c^19*d^33*e^7 + 21868*A*b^15*c^18*d^32*e^8 - 194304*A*b^16*c^17*d^31*e^9 + 709280*A*b^17*c^16*d^30*e^10 - 1744160*A*b^18*c^15*d^29*e^11 + 3218072*A*b^19*c^14*d^28*e^12 - 4654832*A*b^20*c^13*d^27*e^13 + 5394480*A*b^21*c^12*d^26*e^14 - 5063240*A*b^22*c^11*d^25*e^15 + 3863800*A*b^23*c^10*d^24*e^16 - 2393152*A*b^24*c^9*d^23*e^17 + 1194528*A*b^25*c^8*d^22*e^18 - 474056*A*b^26*c^7*d^21*e^19 + 146300*A*b^27*c^6*d^20*e^20 - 33880*A*b^28*c^5*d^19*e^21 + 5544*A*b^29*c^4*d^18*e^22 - 572*A*b^30*c^3*d^17*e^23 + 28*A*b^31*c^2*d^16*e^24 - 4*B*b^11*c^22*d^37*e^3 + 144*B*b^12*c^21*d^36*e^4 - 1840*B*b^13*c^20*d^35*e^5 + 13160*B*b^14*c^19*d^34*e^6 - 62328*B*b^15*c^18*d^33*e^7 + 212800*B*b^16*c^17*d^32*e^8 - 550432*B*b^17*c^16*d^31*e^9 + 1113120*B*b^18*c^15*d^30*e^10 - 1796600*B*b^19*c^14*d^29*e^11 + 2345824*B*b^20*c^13*d^28*e^12 - 2498496*B*b^21*c^12*d^27*e^13 + 2179632*B*b^22*c^11*d^26*e^14 - 1557920*B*b^23*c^10*d^25*e^15 + 909120*B*b^24*c^9*d^24*e^16 - 429664*B*b^25*c^8*d^23*e^17 + 162208*B*b^26*c^7*d^22*e^18 - 47844*B*b^27*c^6*d^21*e^19 + 10640*B*b^28*c^5*d^20*e^20 - 1680*B*b^29*c^4*d^19*e^21 + 168*B*b^30*c^3*d^18*e^22 - 8*B*b^31*c^2*d^17*e^23))*(-(16*A^2*c^11*d^2 + 121*A^2*b^2*c^9*e^2 + 4*B^2*b^2*c^9*d^2 + 81*B^2*b^4*c^7*e^2 - 198*A*B*b^3*c^8*e^2 - 36*B^2*b^3*c^8*d*e - 16*A*B*b*c^10*d^2 - 88*A^2*b*c^10*d*e + 116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2) - ((d + e*x)^(1/2)*(1088*A^2*b^7*c^24*d^33*e^3 - 64*A^2*b^6*c^25*d^34*e^2 - 8404*A^2*b^8*c^23*d^32*e^4 + 38720*A^2*b^9*c^22*d^31*e^5 - 116512*A^2*b^10*c^21*d^30*e^6 + 230912*A^2*b^11*c^20*d^29*e^7 - 267432*A^2*b^12*c^19*d^28*e^8 + 38544*A^2*b^13*c^18*d^27*e^9 + 473880*A^2*b^14*c^17*d^26*e^10 - 851136*A^2*b^15*c^16*d^25*e^11 + 393646*A^2*b^16*c^15*d^24*e^12 + 1207368*A^2*b^17*c^14*d^23*e^13 - 3343724*A^2*b^18*c^13*d^22*e^14 + 4835160*A^2*b^19*c^12*d^21*e^15 - 4903382*A^2*b^20*c^11*d^20*e^16 + 3751968*A^2*b^21*c^10*d^19*e^17 - 2217072*A^2*b^22*c^9*d^18*e^18 + 1013232*A^2*b^23*c^8*d^17*e^19 - 353210*A^2*b^24*c^7*d^16*e^20 + 91080*A^2*b^25*c^6*d^15*e^21 - 16412*A^2*b^26*c^5*d^14*e^22 + 1848*A^2*b^27*c^4*d^13*e^23 - 98*A^2*b^28*c^3*d^12*e^24 - 16*B^2*b^8*c^23*d^34*e^2 + 328*B^2*b^9*c^22*d^33*e^3 - 3074*B^2*b^10*c^21*d^32*e^4 + 17576*B^2*b^11*c^20*d^31*e^5 - 69252*B^2*b^12*c^19*d^30*e^6 + 201648*B^2*b^13*c^18*d^29*e^7 - 454686*B^2*b^14*c^17*d^28*e^8 + 821328*B^2*b^15*c^16*d^27*e^9 - 1218432*B^2*b^16*c^15*d^26*e^10 + 1509384*B^2*b^17*c^14*d^25*e^11 - 1574606*B^2*b^18*c^13*d^24*e^12 + 1384168*B^2*b^19*c^12*d^23*e^13 - 1019324*B^2*b^20*c^11*d^22*e^14 + 622176*B^2*b^21*c^10*d^21*e^15 - 310242*B^2*b^22*c^9*d^20*e^16 + 124032*B^2*b^23*c^8*d^19*e^17 - 38760*B^2*b^24*c^7*d^18*e^18 + 9120*B^2*b^25*c^6*d^17*e^19 - 1520*B^2*b^26*c^5*d^16*e^20 + 160*B^2*b^27*c^4*d^15*e^21 - 8*B^2*b^28*c^3*d^14*e^22 + 64*A*B*b^7*c^24*d^34*e^2 - 1200*A*B*b^8*c^23*d^33*e^3 + 10252*A*B*b^9*c^22*d^32*e^4 - 52944*A*B*b^10*c^21*d^31*e^5 + 184216*A*B*b^11*c^20*d^30*e^6 - 452112*A*B*b^12*c^19*d^29*e^7 + 781428*A*B*b^13*c^18*d^28*e^8 - 863424*A*B*b^14*c^17*d^27*e^9 + 255408*A*B*b^15*c^16*d^26*e^10 + 1244088*A*B*b^16*c^15*d^25*e^11 - 3244396*A*B*b^17*c^14*d^24*e^12 + 4868800*A*B*b^18*c^13*d^23*e^13 - 5345768*A*B*b^19*c^12*d^22*e^14 + 4568696*A*B*b^20*c^11*d^21*e^15 - 3100404*A*B*b^21*c^10*d^20*e^16 + 1674432*A*B*b^22*c^9*d^19*e^17 - 713184*A*B*b^23*c^8*d^18*e^18 + 234840*A*B*b^24*c^7*d^17*e^19 - 57760*A*B*b^25*c^6*d^16*e^20 + 10000*A*B*b^26*c^5*d^15*e^21 - 1088*A*B*b^27*c^4*d^14*e^22 + 56*A*B*b^28*c^3*d^13*e^23) + (-(16*A^2*c^11*d^2 + 121*A^2*b^2*c^9*e^2 + 4*B^2*b^2*c^9*d^2 + 81*B^2*b^4*c^7*e^2 - 198*A*B*b^3*c^8*e^2 - 36*B^2*b^3*c^8*d*e - 16*A*B*b*c^10*d^2 - 88*A^2*b*c^10*d*e + 116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2)*((d + e*x)^(1/2)*(-(16*A^2*c^11*d^2 + 121*A^2*b^2*c^9*e^2 + 4*B^2*b^2*c^9*d^2 + 81*B^2*b^4*c^7*e^2 - 198*A*B*b^3*c^8*e^2 - 36*B^2*b^3*c^8*d*e - 16*A*B*b*c^10*d^2 - 88*A^2*b*c^10*d*e + 116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2)*(16*b^12*c^23*d^41*e^2 - 328*b^13*c^22*d^40*e^3 + 3200*b^14*c^21*d^39*e^4 - 19760*b^15*c^20*d^38*e^5 + 86640*b^16*c^19*d^37*e^6 - 286824*b^17*c^18*d^36*e^7 + 744192*b^18*c^17*d^35*e^8 - 1550400*b^19*c^16*d^34*e^9 + 2635680*b^20*c^15*d^33*e^10 - 3695120*b^21*c^14*d^32*e^11 + 4299776*b^22*c^13*d^31*e^12 - 4165408*b^23*c^12*d^30*e^13 + 3359200*b^24*c^11*d^29*e^14 - 2248080*b^25*c^10*d^28*e^15 + 1240320*b^26*c^9*d^27*e^16 - 558144*b^27*c^8*d^26*e^17 + 201552*b^28*c^7*d^25*e^18 - 57000*b^29*c^6*d^24*e^19 + 12160*b^30*c^5*d^23*e^20 - 1840*b^31*c^4*d^22*e^21 + 176*b^32*c^3*d^21*e^22 - 8*b^33*c^2*d^20*e^23) - 8*A*b^10*c^23*d^37*e^3 + 148*A*b^11*c^22*d^36*e^4 - 1160*A*b^12*c^21*d^35*e^5 + 4760*A*b^13*c^20*d^34*e^6 - 8036*A*b^14*c^19*d^33*e^7 - 21868*A*b^15*c^18*d^32*e^8 + 194304*A*b^16*c^17*d^31*e^9 - 709280*A*b^17*c^16*d^30*e^10 + 1744160*A*b^18*c^15*d^29*e^11 - 3218072*A*b^19*c^14*d^28*e^12 + 4654832*A*b^20*c^13*d^27*e^13 - 5394480*A*b^21*c^12*d^26*e^14 + 5063240*A*b^22*c^11*d^25*e^15 - 3863800*A*b^23*c^10*d^24*e^16 + 2393152*A*b^24*c^9*d^23*e^17 - 1194528*A*b^25*c^8*d^22*e^18 + 474056*A*b^26*c^7*d^21*e^19 - 146300*A*b^27*c^6*d^20*e^20 + 33880*A*b^28*c^5*d^19*e^21 - 5544*A*b^29*c^4*d^18*e^22 + 572*A*b^30*c^3*d^17*e^23 - 28*A*b^31*c^2*d^16*e^24 + 4*B*b^11*c^22*d^37*e^3 - 144*B*b^12*c^21*d^36*e^4 + 1840*B*b^13*c^20*d^35*e^5 - 13160*B*b^14*c^19*d^34*e^6 + 62328*B*b^15*c^18*d^33*e^7 - 212800*B*b^16*c^17*d^32*e^8 + 550432*B*b^17*c^16*d^31*e^9 - 1113120*B*b^18*c^15*d^30*e^10 + 1796600*B*b^19*c^14*d^29*e^11 - 2345824*B*b^20*c^13*d^28*e^12 + 2498496*B*b^21*c^12*d^27*e^13 - 2179632*B*b^22*c^11*d^26*e^14 + 1557920*B*b^23*c^10*d^25*e^15 - 909120*B*b^24*c^9*d^24*e^16 + 429664*B*b^25*c^8*d^23*e^17 - 162208*B*b^26*c^7*d^22*e^18 + 47844*B*b^27*c^6*d^21*e^19 - 10640*B*b^28*c^5*d^20*e^20 + 1680*B*b^29*c^4*d^19*e^21 - 168*B*b^30*c^3*d^18*e^22 + 8*B*b^31*c^2*d^17*e^23))*(-(16*A^2*c^11*d^2 + 121*A^2*b^2*c^9*e^2 + 4*B^2*b^2*c^9*d^2 + 81*B^2*b^4*c^7*e^2 - 198*A*B*b^3*c^8*e^2 - 36*B^2*b^3*c^8*d*e - 16*A*B*b*c^10*d^2 - 88*A^2*b*c^10*d*e + 116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2) - 64*A^3*b^4*c^25*d^30*e^3 + 960*A^3*b^5*c^24*d^29*e^4 - 7180*A^3*b^6*c^23*d^28*e^5 + 35560*A^3*b^7*c^22*d^27*e^6 - 125748*A^3*b^8*c^21*d^26*e^7 + 314496*A^3*b^9*c^20*d^25*e^8 - 508886*A^3*b^10*c^19*d^24*e^9 + 326832*A^3*b^11*c^18*d^23*e^10 + 760408*A^3*b^12*c^17*d^22*e^11 - 2806584*A^3*b^13*c^16*d^21*e^12 + 4917990*A^3*b^14*c^15*d^20*e^13 - 5803448*A^3*b^15*c^14*d^19*e^14 + 4974956*A^3*b^16*c^13*d^18*e^15 - 3162096*A^3*b^17*c^12*d^17*e^16 + 1483782*A^3*b^18*c^11*d^16*e^17 - 501472*A^3*b^19*c^10*d^15*e^18 + 115824*A^3*b^20*c^9*d^14*e^19 - 16408*A^3*b^21*c^8*d^13*e^20 + 1078*A^3*b^22*c^7*d^12*e^21 + 8*B^3*b^7*c^22*d^30*e^3 - 36*B^3*b^8*c^21*d^29*e^4 - 688*B^3*b^9*c^20*d^28*e^5 + 8456*B^3*b^10*c^19*d^27*e^6 - 45696*B^3*b^11*c^18*d^26*e^7 + 153412*B^3*b^12*c^17*d^25*e^8 - 357280*B^3*b^13*c^16*d^24*e^9 + 608256*B^3*b^14*c^15*d^23*e^10 - 778272*B^3*b^15*c^14*d^22*e^11 + 758692*B^3*b^16*c^13*d^21*e^12 - 565488*B^3*b^17*c^12*d^20*e^13 + 320488*B^3*b^18*c^11*d^19*e^14 - 135968*B^3*b^19*c^10*d^18*e^15 + 41916*B^3*b^20*c^9*d^17*e^16 - 8896*B^3*b^21*c^8*d^16*e^17 + 1168*B^3*b^22*c^7*d^15*e^18 - 72*B^3*b^23*c^6*d^14*e^19 - 48*A*B^2*b^6*c^23*d^30*e^3 + 384*A*B^2*b^7*c^22*d^29*e^4 + 222*A*B^2*b^8*c^21*d^28*e^5 - 13272*A*B^2*b^9*c^20*d^27*e^6 + 65940*A*B^2*b^10*c^19*d^26*e^7 - 150864*A*B^2*b^11*c^18*d^25*e^8 + 111762*A*B^2*b^12*c^17*d^24*e^9 + 345840*A*B^2*b^13*c^16*d^23*e^10 - 1328976*A*B^2*b^14*c^15*d^22*e^11 + 2422200*A*B^2*b^15*c^14*d^21*e^12 - 2923998*A*B^2*b^16*c^13*d^20*e^13 + 2528904*A*B^2*b^17*c^12*d^19*e^14 - 1604316*A*B^2*b^18*c^11*d^18*e^15 + 745248*A*B^2*b^19*c^10*d^17*e^16 - 247890*A*B^2*b^20*c^9*d^16*e^17 + 56160*A*B^2*b^21*c^8*d^15*e^18 - 7800*A*B^2*b^22*c^7*d^14*e^19 + 504*A*B^2*b^23*c^6*d^13*e^20 + 96*A^2*B*b^5*c^24*d^30*e^3 - 1104*A^2*B*b^6*c^23*d^29*e^4 + 5898*A^2*B*b^7*c^22*d^28*e^5 - 23688*A^2*B*b^8*c^21*d^27*e^6 + 95256*A^2*B*b^9*c^20*d^26*e^7 - 352548*A^2*B*b^10*c^19*d^25*e^8 + 1005564*A^2*B*b^11*c^18*d^24*e^9 - 2061552*A^2*B*b^12*c^17*d^23*e^10 + 2961024*A^2*B*b^13*c^16*d^22*e^11 - 2823612*A^2*B*b^14*c^15*d^21*e^12 + 1406328*A^2*B*b^15*c^14*d^20*e^13 + 410424*A^2*B*b^16*c^13*d^19*e^14 - 1459080*A^2*B*b^17*c^12*d^18*e^15 + 1416996*A^2*B*b^18*c^11*d^17*e^16 - 834444*A^2*B*b^19*c^10*d^16*e^17 + 325824*A^2*B*b^20*c^9*d^15*e^18 - 83184*A^2*B*b^21*c^8*d^14*e^19 + 12684*A^2*B*b^22*c^7*d^13*e^20 - 882*A^2*B*b^23*c^6*d^12*e^21))*(-(16*A^2*c^11*d^2 + 121*A^2*b^2*c^9*e^2 + 4*B^2*b^2*c^9*d^2 + 81*B^2*b^4*c^7*e^2 - 198*A*B*b^3*c^8*e^2 - 36*B^2*b^3*c^8*d*e - 16*A*B*b*c^10*d^2 - 88*A^2*b*c^10*d*e + 116*A*B*b^2*c^9*d*e)/(4*(b^15*e^9 - b^6*c^9*d^9 + 9*b^7*c^8*d^8*e - 36*b^8*c^7*d^7*e^2 + 84*b^9*c^6*d^6*e^3 - 126*b^10*c^5*d^5*e^4 + 126*b^11*c^4*d^4*e^5 - 84*b^12*c^3*d^3*e^6 + 36*b^13*c^2*d^2*e^7 - 9*b^14*c*d*e^8)))^(1/2)*2i - ((2*(A*e^3 - B*d*e^2))/(5*(c*d^2 - b*d*e)) - (2*(d + e*x)*(7*A*b*e^4 - 14*A*c*d*e^3 - 2*B*b*d*e^3 + 9*B*c*d^2*e^2))/(15*(c*d^2 - b*d*e)^2) + (2*(d + e*x)^2*(35*A*b^2*e^5 - 10*B*b^2*d*e^4 + 113*A*c^2*d^2*e^3 - 63*B*c^2*d^3*e^2 - 113*A*b*c*d*e^4 + 38*B*b*c*d^2*e^3))/(15*(c*d^2 - b*d*e)^3) + ((d + e*x)^3*(21*A*b^5*e^6 - 6*A*c^5*d^5*e - 6*B*b^5*d*e^5 + 15*A*b*c^4*d^4*e^2 + 34*B*b^4*c*d^2*e^4 - 142*A*b^2*c^3*d^3*e^3 + 198*A*b^3*c^2*d^2*e^4 + 66*B*b^2*c^3*d^4*e^2 - 76*B*b^3*c^2*d^3*e^3 - 107*A*b^4*c*d*e^5 + 3*B*b*c^4*d^5*e))/(3*b^2*(c*d^2 - b*d*e)^4) - ((d + e*x)^4*(4*A*b*c^4*d^3*e^2 - 2*A*c^5*d^4*e - 7*A*b^4*c*e^5 + 24*A*b^3*c^2*d*e^4 - 26*A*b^2*c^3*d^2*e^3 + 12*B*b^2*c^3*d^3*e^2 - 8*B*b^3*c^2*d^2*e^3 + B*b*c^4*d^4*e + 2*B*b^4*c*d*e^4))/(b^2*(c*d^2 - b*d*e)^4))/(c*(d + e*x)^(9/2) + (c*d^2 - b*d*e)*(d + e*x)^(5/2) + (b*e - 2*c*d)*(d + e*x)^(7/2))","B"
1247,1,16542,461,5.050893,"\text{Not used}","int(((A + B*x)*(d + e*x)^(9/2))/(b*x + c*x^2)^3,x)","\frac{\frac{\sqrt{d+e\,x}\,\left(7\,B\,b^6\,d^2\,e^6-20\,B\,b^5\,c\,d^3\,e^5-3\,A\,b^5\,c\,d^2\,e^6+10\,B\,b^4\,c^2\,d^4\,e^4+24\,B\,b^3\,c^3\,d^5\,e^3+45\,A\,b^3\,c^3\,d^4\,e^4-33\,B\,b^2\,c^4\,d^6\,e^2-102\,A\,b^2\,c^4\,d^5\,e^3+12\,B\,b\,c^5\,d^7\,e+84\,A\,b\,c^5\,d^6\,e^2-24\,A\,c^6\,d^7\,e\right)}{4\,b^4}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(14\,B\,b^6\,d\,e^6-49\,B\,b^5\,c\,d^2\,e^5-6\,A\,b^5\,c\,d\,e^6+39\,B\,b^4\,c^2\,d^3\,e^4+5\,A\,b^4\,c^2\,d^2\,e^5+41\,B\,b^3\,c^3\,d^4\,e^3+74\,A\,b^3\,c^3\,d^3\,e^4-81\,B\,b^2\,c^4\,d^5\,e^2-217\,A\,b^2\,c^4\,d^4\,e^3+36\,B\,b\,c^5\,d^6\,e+216\,A\,b\,c^5\,d^5\,e^2-72\,A\,c^6\,d^6\,e\right)}{4\,b^4}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(9\,B\,b^5\,c\,e^5-19\,B\,b^4\,c^2\,d\,e^4-5\,A\,b^4\,c^2\,e^5+3\,B\,b^3\,c^3\,d^2\,e^3+3\,A\,b^3\,c^3\,d\,e^4+15\,B\,b^2\,c^4\,d^3\,e^2+21\,A\,b^2\,c^4\,d^2\,e^3-12\,B\,b\,c^5\,d^4\,e-48\,A\,b\,c^5\,d^3\,e^2+24\,A\,c^6\,d^4\,e\right)}{4\,b^4}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(7\,B\,b^6\,e^6-38\,B\,b^5\,c\,d\,e^5-3\,A\,b^5\,c\,e^6+48\,B\,b^4\,c^2\,d^2\,e^4+10\,A\,b^4\,c^2\,d\,e^5+14\,B\,b^3\,c^3\,d^3\,e^3+24\,A\,b^3\,c^3\,d^2\,e^4-63\,B\,b^2\,c^4\,d^4\,e^2-136\,A\,b^2\,c^4\,d^3\,e^3+36\,B\,b\,c^5\,d^5\,e+180\,A\,b\,c^5\,d^4\,e^2-72\,A\,c^6\,d^5\,e\right)}{4\,b^4}}{c^5\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,c^3\,d\,e^2-6\,b\,c^4\,d^2\,e+4\,c^5\,d^3\right)-\left(4\,c^5\,d-2\,b\,c^4\,e\right)\,{\left(d+e\,x\right)}^3+c^5\,d^4+{\left(d+e\,x\right)}^2\,\left(b^2\,c^3\,e^2-6\,b\,c^4\,d\,e+6\,c^5\,d^2\right)+b^2\,c^3\,d^2\,e^2-2\,b\,c^4\,d^3\,e}+\frac{2\,B\,e^4\,\sqrt{d+e\,x}}{c^3}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}-\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}+\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(-A^2\,b^9\,c^2\,e^9-3\,A^2\,b^8\,c^3\,d\,e^8-18\,A^2\,b^7\,c^4\,d^2\,e^7+42\,A^2\,b^6\,c^5\,d^3\,e^6-21\,A^2\,b^5\,c^6\,d^4\,e^5+441\,A^2\,b^4\,c^7\,d^5\,e^4-1512\,A^2\,b^3\,c^8\,d^6\,e^3+1968\,A^2\,b^2\,c^9\,d^7\,e^2-1152\,A^2\,b\,c^{10}\,d^8\,e+256\,A^2\,c^{11}\,d^9+10\,A\,B\,b^{10}\,c\,e^9+6\,A\,B\,b^9\,c^2\,d\,e^8+60\,A\,B\,b^8\,c^3\,d^2\,e^7-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}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-420\,A\,B\,b^7\,c^4\,d^3\,e^6+546\,A\,B\,b^6\,c^5\,d^4\,e^5-210\,A\,B\,b^5\,c^6\,d^5\,e^4+504\,A\,B\,b^4\,c^7\,d^6\,e^3-1200\,A\,B\,b^3\,c^8\,d^7\,e^2+960\,A\,B\,b^2\,c^9\,d^8\,e-256\,A\,B\,b\,c^{10}\,d^9-25\,B^2\,b^{11}\,e^9+45\,B^2\,b^{10}\,c\,d\,e^8+6\,B^2\,b^9\,c^2\,d^2\,e^7+42\,B^2\,b^8\,c^3\,d^3\,e^6-189\,B^2\,b^7\,c^4\,d^4\,e^5+105\,B^2\,b^6\,c^5\,d^5\,e^4+144\,B^2\,b^4\,c^7\,d^7\,e^2-192\,B^2\,b^3\,c^8\,d^8\,e+64\,B^2\,b^2\,c^9\,d^9\right)}{64\,b^{10}\,c^7}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}-\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}+\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}-\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}+\left(\left(\frac{3\,\left(-320\,B\,b^{15}\,c^4\,d\,e^7+448\,B\,b^{14}\,c^5\,d^2\,e^6+64\,A\,b^{14}\,c^5\,d\,e^7+64\,B\,b^{13}\,c^6\,d^3\,e^5+64\,A\,b^{13}\,c^6\,d^2\,e^6-448\,B\,b^{12}\,c^7\,d^4\,e^4-896\,A\,b^{12}\,c^7\,d^3\,e^5+256\,B\,b^{11}\,c^8\,d^5\,e^3+1280\,A\,b^{11}\,c^8\,d^4\,e^4-512\,A\,b^{10}\,c^9\,d^5\,e^3\right)}{64\,b^{12}\,c^5}+\frac{\left(64\,b^{11}\,c^7\,e^3-128\,b^{10}\,c^8\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^{10}\,c^2\,e^{12}+18\,A^2\,b^9\,c^3\,d\,e^{11}+135\,A^2\,b^8\,c^4\,d^2\,e^{10}-540\,A^2\,b^7\,c^5\,d^3\,e^9+567\,A^2\,b^6\,c^6\,d^4\,e^8-4158\,A^2\,b^5\,c^7\,d^5\,e^7+21546\,A^2\,b^4\,c^8\,d^6\,e^6-44928\,A^2\,b^3\,c^9\,d^7\,e^5+45792\,A^2\,b^2\,c^{10}\,d^8\,e^4-23040\,A^2\,b\,c^{11}\,d^9\,e^3+4608\,A^2\,c^{12}\,d^{10}\,e^2-90\,A\,B\,b^{11}\,c\,e^{12}+36\,A\,B\,b^{10}\,c^2\,d\,e^{11}-486\,A\,B\,b^9\,c^3\,d^2\,e^{10}+4320\,A\,B\,b^8\,c^4\,d^3\,e^9-8694\,A\,B\,b^7\,c^5\,d^4\,e^8+6804\,A\,B\,b^6\,c^6\,d^5\,e^7-6426\,A\,B\,b^5\,c^7\,d^6\,e^6+19872\,A\,B\,b^4\,c^8\,d^7\,e^5-30240\,A\,B\,b^3\,c^9\,d^8\,e^4+19584\,A\,B\,b^2\,c^{10}\,d^9\,e^3-4608\,A\,B\,b\,c^{11}\,d^{10}\,e^2+225\,B^2\,b^{12}\,e^{12}-630\,B^2\,b^{11}\,c\,d\,e^{11}+351\,B^2\,b^{10}\,c^2\,d^2\,e^{10}-324\,B^2\,b^9\,c^3\,d^3\,e^9+2079\,B^2\,b^8\,c^4\,d^4\,e^8-2646\,B^2\,b^7\,c^5\,d^5\,e^7+945\,B^2\,b^6\,c^6\,d^6\,e^6-1296\,B^2\,b^5\,c^7\,d^7\,e^5+4320\,B^2\,b^4\,c^8\,d^8\,e^4-4032\,B^2\,b^3\,c^9\,d^9\,e^3+1152\,B^2\,b^2\,c^{10}\,d^{10}\,e^2\right)}{8\,b^8\,c^5}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}-\frac{3\,\left(189\,A^3\,b^{11}\,c^2\,d^3\,e^{14}+54\,A^3\,b^{10}\,c^3\,d^4\,e^{13}+2331\,A^3\,b^9\,c^4\,d^5\,e^{12}-11943\,A^3\,b^8\,c^5\,d^6\,e^{11}+23868\,A^3\,b^7\,c^6\,d^7\,e^{10}-84483\,A^3\,b^6\,c^7\,d^8\,e^9+293112\,A^3\,b^5\,c^8\,d^9\,e^8-562968\,A^3\,b^4\,c^9\,d^{10}\,e^7+610560\,A^3\,b^3\,c^{10}\,d^{11}\,e^6-381312\,A^3\,b^2\,c^{11}\,d^{12}\,e^5+129024\,A^3\,b\,c^{12}\,d^{13}\,e^4-18432\,A^3\,c^{13}\,d^{14}\,e^3-1890\,A^2\,B\,b^{12}\,c\,d^3\,e^{14}+4104\,A^2\,B\,b^{11}\,c^2\,d^4\,e^{13}-12798\,A^2\,B\,b^{10}\,c^3\,d^5\,e^{12}+90423\,A^2\,B\,b^9\,c^4\,d^6\,e^{11}-253071\,A^2\,B\,b^8\,c^5\,d^7\,e^{10}+350001\,A^2\,B\,b^7\,c^6\,d^8\,e^9-361773\,A^2\,B\,b^6\,c^7\,d^9\,e^8+471420\,A^2\,B\,b^5\,c^8\,d^{10}\,e^7-578448\,A^2\,B\,b^4\,c^9\,d^{11}\,e^6+437184\,A^2\,B\,b^3\,c^{10}\,d^{12}\,e^5-172800\,A^2\,B\,b^2\,c^{11}\,d^{13}\,e^4+27648\,A^2\,B\,b\,c^{12}\,d^{14}\,e^3+4725\,A\,B^2\,b^{13}\,d^3\,e^{14}-22410\,A\,B^2\,b^{12}\,c\,d^4\,e^{13}+34803\,A\,B^2\,b^{11}\,c^2\,d^5\,e^{12}-35640\,A\,B^2\,b^{10}\,c^3\,d^6\,e^{11}+93987\,A\,B^2\,b^9\,c^4\,d^7\,e^{10}-187434\,A\,B^2\,b^8\,c^5\,d^8\,e^9+184869\,A\,B^2\,b^7\,c^6\,d^9\,e^8-143316\,A\,B^2\,b^6\,c^7\,d^{10}\,e^7+167184\,A\,B^2\,b^5\,c^8\,d^{11}\,e^6-158976\,A\,B^2\,b^4\,c^9\,d^{12}\,e^5+76032\,A\,B^2\,b^3\,c^{10}\,d^{13}\,e^4-13824\,A\,B^2\,b^2\,c^{11}\,d^{14}\,e^3+2700\,B^3\,b^{13}\,d^4\,e^{13}-9360\,B^3\,b^{12}\,c\,d^5\,e^{12}+9252\,B^3\,b^{11}\,c^2\,d^6\,e^{11}-6696\,B^3\,b^{10}\,c^3\,d^7\,e^{10}+21060\,B^3\,b^9\,c^4\,d^8\,e^9-30672\,B^3\,b^8\,c^5\,d^9\,e^8+18828\,B^3\,b^7\,c^6\,d^{10}\,e^7-14328\,B^3\,b^6\,c^7\,d^{11}\,e^6+17856\,B^3\,b^5\,c^8\,d^{12}\,e^5-10944\,B^3\,b^4\,c^9\,d^{13}\,e^4+2304\,B^3\,b^3\,c^{10}\,d^{14}\,e^3\right)}{32\,b^{12}\,c^5}}\right)\,\sqrt{\frac{9\,\left(441\,A^2\,b^4\,d^5\,e^4-1512\,A^2\,b^3\,c\,d^6\,e^3+1968\,A^2\,b^2\,c^2\,d^7\,e^2-1152\,A^2\,b\,c^3\,d^8\,e+256\,A^2\,c^4\,d^9+504\,A\,B\,b^4\,d^6\,e^3-1200\,A\,B\,b^3\,c\,d^7\,e^2+960\,A\,B\,b^2\,c^2\,d^8\,e-256\,A\,B\,b\,c^3\,d^9+144\,B^2\,b^4\,d^7\,e^2-192\,B^2\,b^3\,c\,d^8\,e+64\,B^2\,b^2\,c^2\,d^9\right)}{64\,b^{10}}}\,2{}\mathrm{i}","Not used",1,"atan(((((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) - ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) - ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2)*1i - (((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) + ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) + ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2)*1i)/((((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) - ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) - ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) + (((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) + ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) + ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2) - (3*(2700*B^3*b^13*d^4*e^13 - 18432*A^3*c^13*d^14*e^3 - 381312*A^3*b^2*c^11*d^12*e^5 + 610560*A^3*b^3*c^10*d^11*e^6 - 562968*A^3*b^4*c^9*d^10*e^7 + 293112*A^3*b^5*c^8*d^9*e^8 - 84483*A^3*b^6*c^7*d^8*e^9 + 23868*A^3*b^7*c^6*d^7*e^10 - 11943*A^3*b^8*c^5*d^6*e^11 + 2331*A^3*b^9*c^4*d^5*e^12 + 54*A^3*b^10*c^3*d^4*e^13 + 189*A^3*b^11*c^2*d^3*e^14 + 2304*B^3*b^3*c^10*d^14*e^3 - 10944*B^3*b^4*c^9*d^13*e^4 + 17856*B^3*b^5*c^8*d^12*e^5 - 14328*B^3*b^6*c^7*d^11*e^6 + 18828*B^3*b^7*c^6*d^10*e^7 - 30672*B^3*b^8*c^5*d^9*e^8 + 21060*B^3*b^9*c^4*d^8*e^9 - 6696*B^3*b^10*c^3*d^7*e^10 + 9252*B^3*b^11*c^2*d^6*e^11 + 4725*A*B^2*b^13*d^3*e^14 + 129024*A^3*b*c^12*d^13*e^4 - 9360*B^3*b^12*c*d^5*e^12 - 13824*A*B^2*b^2*c^11*d^14*e^3 + 76032*A*B^2*b^3*c^10*d^13*e^4 - 158976*A*B^2*b^4*c^9*d^12*e^5 + 167184*A*B^2*b^5*c^8*d^11*e^6 - 143316*A*B^2*b^6*c^7*d^10*e^7 + 184869*A*B^2*b^7*c^6*d^9*e^8 - 187434*A*B^2*b^8*c^5*d^8*e^9 + 93987*A*B^2*b^9*c^4*d^7*e^10 - 35640*A*B^2*b^10*c^3*d^6*e^11 + 34803*A*B^2*b^11*c^2*d^5*e^12 - 172800*A^2*B*b^2*c^11*d^13*e^4 + 437184*A^2*B*b^3*c^10*d^12*e^5 - 578448*A^2*B*b^4*c^9*d^11*e^6 + 471420*A^2*B*b^5*c^8*d^10*e^7 - 361773*A^2*B*b^6*c^7*d^9*e^8 + 350001*A^2*B*b^7*c^6*d^8*e^9 - 253071*A^2*B*b^8*c^5*d^7*e^10 + 90423*A^2*B*b^9*c^4*d^6*e^11 - 12798*A^2*B*b^10*c^3*d^5*e^12 + 4104*A^2*B*b^11*c^2*d^4*e^13 - 22410*A*B^2*b^12*c*d^4*e^13 + 27648*A^2*B*b*c^12*d^14*e^3 - 1890*A^2*B*b^12*c*d^3*e^14))/(32*b^12*c^5)))*((9*(256*A^2*c^11*d^9 - 25*B^2*b^11*e^9 - A^2*b^9*c^2*e^9 + 64*B^2*b^2*c^9*d^9 + 1968*A^2*b^2*c^9*d^7*e^2 - 1512*A^2*b^3*c^8*d^6*e^3 + 441*A^2*b^4*c^7*d^5*e^4 - 21*A^2*b^5*c^6*d^4*e^5 + 42*A^2*b^6*c^5*d^3*e^6 - 18*A^2*b^7*c^4*d^2*e^7 + 144*B^2*b^4*c^7*d^7*e^2 + 105*B^2*b^6*c^5*d^5*e^4 - 189*B^2*b^7*c^4*d^4*e^5 + 42*B^2*b^8*c^3*d^3*e^6 + 6*B^2*b^9*c^2*d^2*e^7 - 1152*A^2*b*c^10*d^8*e + 45*B^2*b^10*c*d*e^8 - 3*A^2*b^8*c^3*d*e^8 - 192*B^2*b^3*c^8*d^8*e - 256*A*B*b*c^10*d^9 + 10*A*B*b^10*c*e^9 + 960*A*B*b^2*c^9*d^8*e + 6*A*B*b^9*c^2*d*e^8 - 1200*A*B*b^3*c^8*d^7*e^2 + 504*A*B*b^4*c^7*d^6*e^3 - 210*A*B*b^5*c^6*d^5*e^4 + 546*A*B*b^6*c^5*d^4*e^5 - 420*A*B*b^7*c^4*d^3*e^6 + 60*A*B*b^8*c^3*d^2*e^7))/(64*b^10*c^7))^(1/2)*2i + atan(((((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) - ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) - ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2)*1i - (((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) + ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) + ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2)*1i)/((((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) - ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) - ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) + (((3*(64*A*b^14*c^5*d*e^7 - 320*B*b^15*c^4*d*e^7 - 512*A*b^10*c^9*d^5*e^3 + 1280*A*b^11*c^8*d^4*e^4 - 896*A*b^12*c^7*d^3*e^5 + 64*A*b^13*c^6*d^2*e^6 + 256*B*b^11*c^8*d^5*e^3 - 448*B*b^12*c^7*d^4*e^4 + 64*B*b^13*c^6*d^3*e^5 + 448*B*b^14*c^5*d^2*e^6))/(64*b^12*c^5) + ((64*b^11*c^7*e^3 - 128*b^10*c^8*d*e^2)*(d + e*x)^(1/2)*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) + ((d + e*x)^(1/2)*(225*B^2*b^12*e^12 + 9*A^2*b^10*c^2*e^12 + 4608*A^2*c^12*d^10*e^2 + 45792*A^2*b^2*c^10*d^8*e^4 - 44928*A^2*b^3*c^9*d^7*e^5 + 21546*A^2*b^4*c^8*d^6*e^6 - 4158*A^2*b^5*c^7*d^5*e^7 + 567*A^2*b^6*c^6*d^4*e^8 - 540*A^2*b^7*c^5*d^3*e^9 + 135*A^2*b^8*c^4*d^2*e^10 + 1152*B^2*b^2*c^10*d^10*e^2 - 4032*B^2*b^3*c^9*d^9*e^3 + 4320*B^2*b^4*c^8*d^8*e^4 - 1296*B^2*b^5*c^7*d^7*e^5 + 945*B^2*b^6*c^6*d^6*e^6 - 2646*B^2*b^7*c^5*d^5*e^7 + 2079*B^2*b^8*c^4*d^4*e^8 - 324*B^2*b^9*c^3*d^3*e^9 + 351*B^2*b^10*c^2*d^2*e^10 - 630*B^2*b^11*c*d*e^11 - 23040*A^2*b*c^11*d^9*e^3 + 18*A^2*b^9*c^3*d*e^11 - 90*A*B*b^11*c*e^12 - 4608*A*B*b*c^11*d^10*e^2 + 36*A*B*b^10*c^2*d*e^11 + 19584*A*B*b^2*c^10*d^9*e^3 - 30240*A*B*b^3*c^9*d^8*e^4 + 19872*A*B*b^4*c^8*d^7*e^5 - 6426*A*B*b^5*c^7*d^6*e^6 + 6804*A*B*b^6*c^6*d^5*e^7 - 8694*A*B*b^7*c^5*d^4*e^8 + 4320*A*B*b^8*c^4*d^3*e^9 - 486*A*B*b^9*c^3*d^2*e^10))/(8*b^8*c^5))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2) - (3*(2700*B^3*b^13*d^4*e^13 - 18432*A^3*c^13*d^14*e^3 - 381312*A^3*b^2*c^11*d^12*e^5 + 610560*A^3*b^3*c^10*d^11*e^6 - 562968*A^3*b^4*c^9*d^10*e^7 + 293112*A^3*b^5*c^8*d^9*e^8 - 84483*A^3*b^6*c^7*d^8*e^9 + 23868*A^3*b^7*c^6*d^7*e^10 - 11943*A^3*b^8*c^5*d^6*e^11 + 2331*A^3*b^9*c^4*d^5*e^12 + 54*A^3*b^10*c^3*d^4*e^13 + 189*A^3*b^11*c^2*d^3*e^14 + 2304*B^3*b^3*c^10*d^14*e^3 - 10944*B^3*b^4*c^9*d^13*e^4 + 17856*B^3*b^5*c^8*d^12*e^5 - 14328*B^3*b^6*c^7*d^11*e^6 + 18828*B^3*b^7*c^6*d^10*e^7 - 30672*B^3*b^8*c^5*d^9*e^8 + 21060*B^3*b^9*c^4*d^8*e^9 - 6696*B^3*b^10*c^3*d^7*e^10 + 9252*B^3*b^11*c^2*d^6*e^11 + 4725*A*B^2*b^13*d^3*e^14 + 129024*A^3*b*c^12*d^13*e^4 - 9360*B^3*b^12*c*d^5*e^12 - 13824*A*B^2*b^2*c^11*d^14*e^3 + 76032*A*B^2*b^3*c^10*d^13*e^4 - 158976*A*B^2*b^4*c^9*d^12*e^5 + 167184*A*B^2*b^5*c^8*d^11*e^6 - 143316*A*B^2*b^6*c^7*d^10*e^7 + 184869*A*B^2*b^7*c^6*d^9*e^8 - 187434*A*B^2*b^8*c^5*d^8*e^9 + 93987*A*B^2*b^9*c^4*d^7*e^10 - 35640*A*B^2*b^10*c^3*d^6*e^11 + 34803*A*B^2*b^11*c^2*d^5*e^12 - 172800*A^2*B*b^2*c^11*d^13*e^4 + 437184*A^2*B*b^3*c^10*d^12*e^5 - 578448*A^2*B*b^4*c^9*d^11*e^6 + 471420*A^2*B*b^5*c^8*d^10*e^7 - 361773*A^2*B*b^6*c^7*d^9*e^8 + 350001*A^2*B*b^7*c^6*d^8*e^9 - 253071*A^2*B*b^8*c^5*d^7*e^10 + 90423*A^2*B*b^9*c^4*d^6*e^11 - 12798*A^2*B*b^10*c^3*d^5*e^12 + 4104*A^2*B*b^11*c^2*d^4*e^13 - 22410*A*B^2*b^12*c*d^4*e^13 + 27648*A^2*B*b*c^12*d^14*e^3 - 1890*A^2*B*b^12*c*d^3*e^14))/(32*b^12*c^5)))*((9*(256*A^2*c^4*d^9 + 64*B^2*b^2*c^2*d^9 + 441*A^2*b^4*d^5*e^4 + 144*B^2*b^4*d^7*e^2 + 1968*A^2*b^2*c^2*d^7*e^2 + 504*A*B*b^4*d^6*e^3 - 1152*A^2*b*c^3*d^8*e - 192*B^2*b^3*c*d^8*e - 1512*A^2*b^3*c*d^6*e^3 - 256*A*B*b*c^3*d^9 + 960*A*B*b^2*c^2*d^8*e - 1200*A*B*b^3*c*d^7*e^2))/(64*b^10))^(1/2)*2i + (((d + e*x)^(1/2)*(7*B*b^6*d^2*e^6 - 24*A*c^6*d^7*e + 84*A*b*c^5*d^6*e^2 - 3*A*b^5*c*d^2*e^6 - 20*B*b^5*c*d^3*e^5 - 102*A*b^2*c^4*d^5*e^3 + 45*A*b^3*c^3*d^4*e^4 - 33*B*b^2*c^4*d^6*e^2 + 24*B*b^3*c^3*d^5*e^3 + 10*B*b^4*c^2*d^4*e^4 + 12*B*b*c^5*d^7*e))/(4*b^4) - ((d + e*x)^(3/2)*(14*B*b^6*d*e^6 - 72*A*c^6*d^6*e + 216*A*b*c^5*d^5*e^2 - 49*B*b^5*c*d^2*e^5 - 217*A*b^2*c^4*d^4*e^3 + 74*A*b^3*c^3*d^3*e^4 + 5*A*b^4*c^2*d^2*e^5 - 81*B*b^2*c^4*d^5*e^2 + 41*B*b^3*c^3*d^4*e^3 + 39*B*b^4*c^2*d^3*e^4 - 6*A*b^5*c*d*e^6 + 36*B*b*c^5*d^6*e))/(4*b^4) + ((d + e*x)^(7/2)*(9*B*b^5*c*e^5 + 24*A*c^6*d^4*e - 5*A*b^4*c^2*e^5 - 48*A*b*c^5*d^3*e^2 + 3*A*b^3*c^3*d*e^4 - 19*B*b^4*c^2*d*e^4 + 21*A*b^2*c^4*d^2*e^3 + 15*B*b^2*c^4*d^3*e^2 + 3*B*b^3*c^3*d^2*e^3 - 12*B*b*c^5*d^4*e))/(4*b^4) + ((d + e*x)^(5/2)*(7*B*b^6*e^6 - 3*A*b^5*c*e^6 - 72*A*c^6*d^5*e + 180*A*b*c^5*d^4*e^2 + 10*A*b^4*c^2*d*e^5 - 136*A*b^2*c^4*d^3*e^3 + 24*A*b^3*c^3*d^2*e^4 - 63*B*b^2*c^4*d^4*e^2 + 14*B*b^3*c^3*d^3*e^3 + 48*B*b^4*c^2*d^2*e^4 + 36*B*b*c^5*d^5*e - 38*B*b^5*c*d*e^5))/(4*b^4))/(c^5*(d + e*x)^4 - (d + e*x)*(4*c^5*d^3 + 2*b^2*c^3*d*e^2 - 6*b*c^4*d^2*e) - (4*c^5*d - 2*b*c^4*e)*(d + e*x)^3 + c^5*d^4 + (d + e*x)^2*(6*c^5*d^2 + b^2*c^3*e^2 - 6*b*c^4*d*e) + b^2*c^3*d^2*e^2 - 2*b*c^4*d^3*e) + (2*B*e^4*(d + e*x)^(1/2))/c^3","B"
1248,1,11072,363,6.397366,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^3,x)","\ln\left(\frac{d^2\,e^3\,{\left(b\,e-c\,d\right)}^2\,\left(35\,A^3\,b^7\,c^2\,e^7+686\,A^3\,b^6\,c^3\,d\,e^6-540\,A^3\,b^5\,c^4\,d^2\,e^5-33048\,A^3\,b^4\,c^5\,d^3\,e^4+146880\,A^3\,b^3\,c^6\,d^4\,e^3-252288\,A^3\,b^2\,c^7\,d^5\,e^2+193536\,A^3\,b\,c^8\,d^6\,e-55296\,A^3\,c^9\,d^7+210\,A^2\,B\,b^8\,c\,e^7+2184\,A^2\,B\,b^7\,c^2\,d\,e^6-9459\,A^2\,B\,b^6\,c^3\,d^2\,e^5+15300\,A^2\,B\,b^5\,c^4\,d^3\,e^4-82224\,A^2\,B\,b^4\,c^5\,d^4\,e^3+233280\,A^2\,B\,b^3\,c^6\,d^5\,e^2-241920\,A^2\,B\,b^2\,c^7\,d^6\,e+82944\,A^2\,B\,b\,c^8\,d^7+315\,A\,B^2\,b^9\,e^7+462\,A\,B^2\,b^8\,c\,d\,e^6+4131\,A\,B^2\,b^7\,c^2\,d^2\,e^5-10212\,A\,B^2\,b^6\,c^3\,d^3\,e^4+7344\,A\,B^2\,b^5\,c^4\,d^4\,e^3-58176\,A\,B^2\,b^4\,c^5\,d^5\,e^2+96768\,A\,B^2\,b^3\,c^6\,d^6\,e-41472\,A\,B^2\,b^2\,c^7\,d^7+252\,B^3\,b^9\,d\,e^6+624\,B^3\,b^8\,c\,d^2\,e^5+2668\,B^3\,b^7\,c^2\,d^3\,e^4-104\,B^3\,b^6\,c^3\,d^4\,e^3+2304\,B^3\,b^5\,c^4\,d^5\,e^2-12096\,B^3\,b^4\,c^5\,d^6\,e+6912\,B^3\,b^3\,c^6\,d^7\right)}{64\,b^{12}\,c^3}-\frac{\left(\frac{\left(\frac{d\,e^3\,\left(b\,e-c\,d\right)\,\left(3\,B\,b^3\,e^2+5\,B\,b^2\,c\,d\,e+A\,b^2\,c\,e^2-12\,B\,b\,c^2\,d^2-24\,A\,b\,c^2\,d\,e+24\,A\,c^3\,d^2\right)}{b^2}+b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}\right)\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}}{8}+\frac{\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}+20\,A^2\,b^7\,c^3\,d\,e^9-42\,A^2\,b^6\,c^4\,d^2\,e^8-1204\,A^2\,b^5\,c^5\,d^3\,e^7+8330\,A^2\,b^4\,c^6\,d^4\,e^6-22176\,A^2\,b^3\,c^7\,d^5\,e^5+28896\,A^2\,b^2\,c^8\,d^6\,e^4-18432\,A^2\,b\,c^9\,d^7\,e^3+4608\,A^2\,c^{10}\,d^8\,e^2+6\,A\,B\,b^9\,c\,e^{10}+64\,A\,B\,b^8\,c^2\,d\,e^9-364\,A\,B\,b^7\,c^3\,d^2\,e^8+504\,A\,B\,b^6\,c^4\,d^3\,e^7-2170\,A\,B\,b^5\,c^5\,d^4\,e^6+10304\,A\,B\,b^4\,c^6\,d^5\,e^5-19488\,A\,B\,b^3\,c^7\,d^6\,e^4+15744\,A\,B\,b^2\,c^8\,d^7\,e^3-4608\,A\,B\,b\,c^9\,d^8\,e^2+9\,B^2\,b^{10}\,e^{10}+12\,B^2\,b^9\,c\,d\,e^9+70\,B^2\,b^8\,c^2\,d^2\,e^8-196\,B^2\,b^7\,c^3\,d^3\,e^7+105\,B^2\,b^6\,c^4\,d^4\,e^6-784\,B^2\,b^5\,c^5\,d^5\,e^5+2912\,B^2\,b^4\,c^6\,d^6\,e^4-3264\,B^2\,b^3\,c^7\,d^7\,e^3+1152\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{8\,b^8\,c^3}\right)\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}}{8}\right)\,\sqrt{\frac{1225\,A^2\,b^4\,d^3\,e^4-5880\,A^2\,b^3\,c\,d^4\,e^3+10416\,A^2\,b^2\,c^2\,d^5\,e^2-8064\,A^2\,b\,c^3\,d^6\,e+2304\,A^2\,c^4\,d^7+1960\,A\,B\,b^4\,d^4\,e^3-6384\,A\,B\,b^3\,c\,d^5\,e^2+6720\,A\,B\,b^2\,c^2\,d^6\,e-2304\,A\,B\,b\,c^3\,d^7+784\,B^2\,b^4\,d^5\,e^2-1344\,B^2\,b^3\,c\,d^6\,e+576\,B^2\,b^2\,c^2\,d^7}{64\,b^{10}}}-\ln\left(\frac{d^2\,e^3\,{\left(b\,e-c\,d\right)}^2\,\left(35\,A^3\,b^7\,c^2\,e^7+686\,A^3\,b^6\,c^3\,d\,e^6-540\,A^3\,b^5\,c^4\,d^2\,e^5-33048\,A^3\,b^4\,c^5\,d^3\,e^4+146880\,A^3\,b^3\,c^6\,d^4\,e^3-252288\,A^3\,b^2\,c^7\,d^5\,e^2+193536\,A^3\,b\,c^8\,d^6\,e-55296\,A^3\,c^9\,d^7+210\,A^2\,B\,b^8\,c\,e^7+2184\,A^2\,B\,b^7\,c^2\,d\,e^6-9459\,A^2\,B\,b^6\,c^3\,d^2\,e^5+15300\,A^2\,B\,b^5\,c^4\,d^3\,e^4-82224\,A^2\,B\,b^4\,c^5\,d^4\,e^3+233280\,A^2\,B\,b^3\,c^6\,d^5\,e^2-241920\,A^2\,B\,b^2\,c^7\,d^6\,e+82944\,A^2\,B\,b\,c^8\,d^7+315\,A\,B^2\,b^9\,e^7+462\,A\,B^2\,b^8\,c\,d\,e^6+4131\,A\,B^2\,b^7\,c^2\,d^2\,e^5-10212\,A\,B^2\,b^6\,c^3\,d^3\,e^4+7344\,A\,B^2\,b^5\,c^4\,d^4\,e^3-58176\,A\,B^2\,b^4\,c^5\,d^5\,e^2+96768\,A\,B^2\,b^3\,c^6\,d^6\,e-41472\,A\,B^2\,b^2\,c^7\,d^7+252\,B^3\,b^9\,d\,e^6+624\,B^3\,b^8\,c\,d^2\,e^5+2668\,B^3\,b^7\,c^2\,d^3\,e^4-104\,B^3\,b^6\,c^3\,d^4\,e^3+2304\,B^3\,b^5\,c^4\,d^5\,e^2-12096\,B^3\,b^4\,c^5\,d^6\,e+6912\,B^3\,b^3\,c^6\,d^7\right)}{64\,b^{12}\,c^3}-\frac{\left(\frac{\left(\frac{d\,e^3\,\left(b\,e-c\,d\right)\,\left(3\,B\,b^3\,e^2+5\,B\,b^2\,c\,d\,e+A\,b^2\,c\,e^2-12\,B\,b\,c^2\,d^2-24\,A\,b\,c^2\,d\,e+24\,A\,c^3\,d^2\right)}{b^2}-b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}\right)\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}}{8}-\frac{\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}+20\,A^2\,b^7\,c^3\,d\,e^9-42\,A^2\,b^6\,c^4\,d^2\,e^8-1204\,A^2\,b^5\,c^5\,d^3\,e^7+8330\,A^2\,b^4\,c^6\,d^4\,e^6-22176\,A^2\,b^3\,c^7\,d^5\,e^5+28896\,A^2\,b^2\,c^8\,d^6\,e^4-18432\,A^2\,b\,c^9\,d^7\,e^3+4608\,A^2\,c^{10}\,d^8\,e^2+6\,A\,B\,b^9\,c\,e^{10}+64\,A\,B\,b^8\,c^2\,d\,e^9-364\,A\,B\,b^7\,c^3\,d^2\,e^8+504\,A\,B\,b^6\,c^4\,d^3\,e^7-2170\,A\,B\,b^5\,c^5\,d^4\,e^6+10304\,A\,B\,b^4\,c^6\,d^5\,e^5-19488\,A\,B\,b^3\,c^7\,d^6\,e^4+15744\,A\,B\,b^2\,c^8\,d^7\,e^3-4608\,A\,B\,b\,c^9\,d^8\,e^2+9\,B^2\,b^{10}\,e^{10}+12\,B^2\,b^9\,c\,d\,e^9+70\,B^2\,b^8\,c^2\,d^2\,e^8-196\,B^2\,b^7\,c^3\,d^3\,e^7+105\,B^2\,b^6\,c^4\,d^4\,e^6-784\,B^2\,b^5\,c^5\,d^5\,e^5+2912\,B^2\,b^4\,c^6\,d^6\,e^4-3264\,B^2\,b^3\,c^7\,d^7\,e^3+1152\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{8\,b^8\,c^3}\right)\,\sqrt{\frac{d^3\,{\left(28\,B\,b^2\,d\,e+35\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-84\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}}}}{8}\right)\,\sqrt{\frac{\frac{1225\,A^2\,b^4\,d^3\,e^4}{64}-\frac{735\,A^2\,b^3\,c\,d^4\,e^3}{8}+\frac{651\,A^2\,b^2\,c^2\,d^5\,e^2}{4}-126\,A^2\,b\,c^3\,d^6\,e+36\,A^2\,c^4\,d^7+\frac{245\,A\,B\,b^4\,d^4\,e^3}{8}-\frac{399\,A\,B\,b^3\,c\,d^5\,e^2}{4}+105\,A\,B\,b^2\,c^2\,d^6\,e-36\,A\,B\,b\,c^3\,d^7+\frac{49\,B^2\,b^4\,d^5\,e^2}{4}-21\,B^2\,b^3\,c\,d^6\,e+9\,B^2\,b^2\,c^2\,d^7}{b^{10}}}+\frac{\frac{{\left(d+e\,x\right)}^{7/2}\,\left(-5\,B\,b^4\,e^4+2\,B\,b^3\,c\,d\,e^3+A\,b^3\,c\,e^4+11\,B\,b^2\,c^2\,d^2\,e^2+10\,A\,b^2\,c^2\,d\,e^3-12\,B\,b\,c^3\,d^3\,e-36\,A\,b\,c^3\,d^2\,e^2+24\,A\,c^4\,d^3\,e\right)}{4\,b^4\,c}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(3\,B\,b^5\,e^5-11\,B\,b^4\,c\,d\,e^4+A\,b^4\,c\,e^5-11\,B\,b^3\,c^2\,d^2\,e^3-13\,A\,b^3\,c^2\,d\,e^4+51\,B\,b^2\,c^3\,d^3\,e^2+85\,A\,b^2\,c^3\,d^2\,e^3-36\,B\,b\,c^4\,d^4\,e-144\,A\,b\,c^4\,d^3\,e^2+72\,A\,c^5\,d^4\,e\right)}{4\,b^4\,c^2}-\frac{\sqrt{d+e\,x}\,\left(3\,B\,b^5\,d^2\,e^5-B\,b^4\,c\,d^3\,e^4+A\,b^4\,c\,d^2\,e^5-19\,B\,b^3\,c^2\,d^4\,e^3-26\,A\,b^3\,c^2\,d^3\,e^4+29\,B\,b^2\,c^3\,d^5\,e^2+73\,A\,b^2\,c^3\,d^4\,e^3-12\,B\,b\,c^4\,d^6\,e-72\,A\,b\,c^4\,d^5\,e^2+24\,A\,c^5\,d^6\,e\right)}{4\,b^4\,c^2}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(6\,B\,b^5\,d\,e^5-7\,B\,b^4\,c\,d^2\,e^4+2\,A\,b^4\,c\,d\,e^5-32\,B\,b^3\,c^2\,d^3\,e^3-42\,A\,b^3\,c^2\,d^2\,e^4+69\,B\,b^2\,c^3\,d^4\,e^2+148\,A\,b^2\,c^3\,d^3\,e^3-36\,B\,b\,c^4\,d^5\,e-180\,A\,b\,c^4\,d^4\,e^2+72\,A\,c^5\,d^5\,e\right)}{4\,b^4\,c^2}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+c^2\,d^4+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e}+\mathrm{atan}\left(\frac{\left(\left(\frac{192\,B\,b^{14}\,c^3\,d\,e^6+128\,B\,b^{13}\,c^4\,d^2\,e^5+64\,A\,b^{13}\,c^4\,d\,e^6-1088\,B\,b^{12}\,c^5\,d^3\,e^4-1600\,A\,b^{12}\,c^5\,d^2\,e^5+768\,B\,b^{11}\,c^6\,d^4\,e^3+3072\,A\,b^{11}\,c^6\,d^3\,e^4-1536\,A\,b^{10}\,c^7\,d^4\,e^3}{64\,b^{12}\,c^3}-\frac{\left(64\,b^{11}\,c^5\,e^3-128\,b^{10}\,c^6\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}}{8\,b^8\,c^3}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}+20\,A^2\,b^7\,c^3\,d\,e^9-42\,A^2\,b^6\,c^4\,d^2\,e^8-1204\,A^2\,b^5\,c^5\,d^3\,e^7+8330\,A^2\,b^4\,c^6\,d^4\,e^6-22176\,A^2\,b^3\,c^7\,d^5\,e^5+28896\,A^2\,b^2\,c^8\,d^6\,e^4-18432\,A^2\,b\,c^9\,d^7\,e^3+4608\,A^2\,c^{10}\,d^8\,e^2+6\,A\,B\,b^9\,c\,e^{10}+64\,A\,B\,b^8\,c^2\,d\,e^9-364\,A\,B\,b^7\,c^3\,d^2\,e^8+504\,A\,B\,b^6\,c^4\,d^3\,e^7-2170\,A\,B\,b^5\,c^5\,d^4\,e^6+10304\,A\,B\,b^4\,c^6\,d^5\,e^5-19488\,A\,B\,b^3\,c^7\,d^6\,e^4+15744\,A\,B\,b^2\,c^8\,d^7\,e^3-4608\,A\,B\,b\,c^9\,d^8\,e^2+9\,B^2\,b^{10}\,e^{10}+12\,B^2\,b^9\,c\,d\,e^9+70\,B^2\,b^8\,c^2\,d^2\,e^8-196\,B^2\,b^7\,c^3\,d^3\,e^7+105\,B^2\,b^6\,c^4\,d^4\,e^6-784\,B^2\,b^5\,c^5\,d^5\,e^5+2912\,B^2\,b^4\,c^6\,d^6\,e^4-3264\,B^2\,b^3\,c^7\,d^7\,e^3+1152\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{8\,b^8\,c^3}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\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,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}+20\,A^2\,b^7\,c^3\,d\,e^9-42\,A^2\,b^6\,c^4\,d^2\,e^8-1204\,A^2\,b^5\,c^5\,d^3\,e^7+8330\,A^2\,b^4\,c^6\,d^4\,e^6-22176\,A^2\,b^3\,c^7\,d^5\,e^5+28896\,A^2\,b^2\,c^8\,d^6\,e^4-18432\,A^2\,b\,c^9\,d^7\,e^3+4608\,A^2\,c^{10}\,d^8\,e^2+6\,A\,B\,b^9\,c\,e^{10}+64\,A\,B\,b^8\,c^2\,d\,e^9-364\,A\,B\,b^7\,c^3\,d^2\,e^8+504\,A\,B\,b^6\,c^4\,d^3\,e^7-2170\,A\,B\,b^5\,c^5\,d^4\,e^6+10304\,A\,B\,b^4\,c^6\,d^5\,e^5-19488\,A\,B\,b^3\,c^7\,d^6\,e^4+15744\,A\,B\,b^2\,c^8\,d^7\,e^3-4608\,A\,B\,b\,c^9\,d^8\,e^2+9\,B^2\,b^{10}\,e^{10}+12\,B^2\,b^9\,c\,d\,e^9+70\,B^2\,b^8\,c^2\,d^2\,e^8-196\,B^2\,b^7\,c^3\,d^3\,e^7+105\,B^2\,b^6\,c^4\,d^4\,e^6-784\,B^2\,b^5\,c^5\,d^5\,e^5+2912\,B^2\,b^4\,c^6\,d^6\,e^4-3264\,B^2\,b^3\,c^7\,d^7\,e^3+1152\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{8\,b^8\,c^3}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}+\left(\left(\frac{192\,B\,b^{14}\,c^3\,d\,e^6+128\,B\,b^{13}\,c^4\,d^2\,e^5+64\,A\,b^{13}\,c^4\,d\,e^6-1088\,B\,b^{12}\,c^5\,d^3\,e^4-1600\,A\,b^{12}\,c^5\,d^2\,e^5+768\,B\,b^{11}\,c^6\,d^4\,e^3+3072\,A\,b^{11}\,c^6\,d^3\,e^4-1536\,A\,b^{10}\,c^7\,d^4\,e^3}{64\,b^{12}\,c^3}+\frac{\left(64\,b^{11}\,c^5\,e^3-128\,b^{10}\,c^6\,d\,e^2\right)\,\sqrt{d+e\,x}\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}}{8\,b^8\,c^3}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,b^8\,c^2\,e^{10}+20\,A^2\,b^7\,c^3\,d\,e^9-42\,A^2\,b^6\,c^4\,d^2\,e^8-1204\,A^2\,b^5\,c^5\,d^3\,e^7+8330\,A^2\,b^4\,c^6\,d^4\,e^6-22176\,A^2\,b^3\,c^7\,d^5\,e^5+28896\,A^2\,b^2\,c^8\,d^6\,e^4-18432\,A^2\,b\,c^9\,d^7\,e^3+4608\,A^2\,c^{10}\,d^8\,e^2+6\,A\,B\,b^9\,c\,e^{10}+64\,A\,B\,b^8\,c^2\,d\,e^9-364\,A\,B\,b^7\,c^3\,d^2\,e^8+504\,A\,B\,b^6\,c^4\,d^3\,e^7-2170\,A\,B\,b^5\,c^5\,d^4\,e^6+10304\,A\,B\,b^4\,c^6\,d^5\,e^5-19488\,A\,B\,b^3\,c^7\,d^6\,e^4+15744\,A\,B\,b^2\,c^8\,d^7\,e^3-4608\,A\,B\,b\,c^9\,d^8\,e^2+9\,B^2\,b^{10}\,e^{10}+12\,B^2\,b^9\,c\,d\,e^9+70\,B^2\,b^8\,c^2\,d^2\,e^8-196\,B^2\,b^7\,c^3\,d^3\,e^7+105\,B^2\,b^6\,c^4\,d^4\,e^6-784\,B^2\,b^5\,c^5\,d^5\,e^5+2912\,B^2\,b^4\,c^6\,d^6\,e^4-3264\,B^2\,b^3\,c^7\,d^7\,e^3+1152\,B^2\,b^2\,c^8\,d^8\,e^2\right)}{8\,b^8\,c^3}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}-\frac{35\,A^3\,b^9\,c^2\,d^2\,e^{12}+616\,A^3\,b^8\,c^3\,d^3\,e^{11}-1877\,A^3\,b^7\,c^4\,d^4\,e^{10}-31282\,A^3\,b^6\,c^5\,d^5\,e^9+212436\,A^3\,b^5\,c^6\,d^6\,e^8-579096\,A^3\,b^4\,c^7\,d^7\,e^7+844992\,A^3\,b^3\,c^8\,d^8\,e^6-694656\,A^3\,b^2\,c^9\,d^9\,e^5+304128\,A^3\,b\,c^{10}\,d^{10}\,e^4-55296\,A^3\,c^{11}\,d^{11}\,e^3+210\,A^2\,B\,b^{10}\,c\,d^2\,e^{12}+1764\,A^2\,B\,b^9\,c^2\,d^3\,e^{11}-13617\,A^2\,B\,b^8\,c^3\,d^4\,e^{10}+36402\,A^2\,B\,b^7\,c^4\,d^5\,e^9-122283\,A^2\,B\,b^6\,c^5\,d^6\,e^8+413028\,A^2\,B\,b^5\,c^6\,d^7\,e^7-790704\,A^2\,B\,b^4\,c^7\,d^8\,e^6+800064\,A^2\,B\,b^3\,c^8\,d^9\,e^5-407808\,A^2\,B\,b^2\,c^9\,d^{10}\,e^4+82944\,A^2\,B\,b\,c^{10}\,d^{11}\,e^3+315\,A\,B^2\,b^{11}\,d^2\,e^{12}-168\,A\,B^2\,b^{10}\,c\,d^3\,e^{11}+3522\,A\,B^2\,b^9\,c^2\,d^4\,e^{10}-18012\,A\,B^2\,b^8\,c^3\,d^5\,e^9+31899\,A\,B^2\,b^7\,c^4\,d^6\,e^8-83076\,A\,B^2\,b^6\,c^5\,d^7\,e^7+220464\,A\,B^2\,b^5\,c^6\,d^8\,e^6-293184\,A\,B^2\,b^4\,c^7\,d^9\,e^5+179712\,A\,B^2\,b^3\,c^8\,d^{10}\,e^4-41472\,A\,B^2\,b^2\,c^9\,d^{11}\,e^3+252\,B^3\,b^{11}\,d^3\,e^{11}+120\,B^3\,b^{10}\,c\,d^4\,e^{10}+1672\,B^3\,b^9\,c^2\,d^5\,e^9-4816\,B^3\,b^8\,c^3\,d^6\,e^8+5180\,B^3\,b^7\,c^4\,d^7\,e^7-16808\,B^3\,b^6\,c^5\,d^8\,e^6+33408\,B^3\,b^5\,c^6\,d^9\,e^5-25920\,B^3\,b^4\,c^7\,d^{10}\,e^4+6912\,B^3\,b^3\,c^8\,d^{11}\,e^3}{32\,b^{12}\,c^3}}\right)\,\sqrt{-\frac{A^2\,b^7\,c^2\,e^7+21\,A^2\,b^6\,c^3\,d\,e^6-21\,A^2\,b^5\,c^4\,d^2\,e^5-1225\,A^2\,b^4\,c^5\,d^3\,e^4+5880\,A^2\,b^3\,c^6\,d^4\,e^3-10416\,A^2\,b^2\,c^7\,d^5\,e^2+8064\,A^2\,b\,c^8\,d^6\,e-2304\,A^2\,c^9\,d^7+6\,A\,B\,b^8\,c\,e^7+70\,A\,B\,b^7\,c^2\,d\,e^6-294\,A\,B\,b^6\,c^3\,d^2\,e^5+210\,A\,B\,b^5\,c^4\,d^3\,e^4-1960\,A\,B\,b^4\,c^5\,d^4\,e^3+6384\,A\,B\,b^3\,c^6\,d^5\,e^2-6720\,A\,B\,b^2\,c^7\,d^6\,e+2304\,A\,B\,b\,c^8\,d^7+9\,B^2\,b^9\,e^7+21\,B^2\,b^8\,c\,d\,e^6+91\,B^2\,b^7\,c^2\,d^2\,e^5-105\,B^2\,b^6\,c^3\,d^3\,e^4-784\,B^2\,b^4\,c^5\,d^5\,e^2+1344\,B^2\,b^3\,c^6\,d^6\,e-576\,B^2\,b^2\,c^7\,d^7}{64\,b^{10}\,c^5}}\,2{}\mathrm{i}","Not used",1,"atan(((((64*A*b^13*c^4*d*e^6 + 192*B*b^14*c^3*d*e^6 - 1536*A*b^10*c^7*d^4*e^3 + 3072*A*b^11*c^6*d^3*e^4 - 1600*A*b^12*c^5*d^2*e^5 + 768*B*b^11*c^6*d^4*e^3 - 1088*B*b^12*c^5*d^3*e^4 + 128*B*b^13*c^4*d^2*e^5)/(64*b^12*c^3) - ((64*b^11*c^5*e^3 - 128*b^10*c^6*d*e^2)*(d + e*x)^(1/2)*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2)*1i - (((64*A*b^13*c^4*d*e^6 + 192*B*b^14*c^3*d*e^6 - 1536*A*b^10*c^7*d^4*e^3 + 3072*A*b^11*c^6*d^3*e^4 - 1600*A*b^12*c^5*d^2*e^5 + 768*B*b^11*c^6*d^4*e^3 - 1088*B*b^12*c^5*d^3*e^4 + 128*B*b^13*c^4*d^2*e^5)/(64*b^12*c^3) + ((64*b^11*c^5*e^3 - 128*b^10*c^6*d*e^2)*(d + e*x)^(1/2)*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2)*1i)/((((64*A*b^13*c^4*d*e^6 + 192*B*b^14*c^3*d*e^6 - 1536*A*b^10*c^7*d^4*e^3 + 3072*A*b^11*c^6*d^3*e^4 - 1600*A*b^12*c^5*d^2*e^5 + 768*B*b^11*c^6*d^4*e^3 - 1088*B*b^12*c^5*d^3*e^4 + 128*B*b^13*c^4*d^2*e^5)/(64*b^12*c^3) - ((64*b^11*c^5*e^3 - 128*b^10*c^6*d*e^2)*(d + e*x)^(1/2)*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) + (((64*A*b^13*c^4*d*e^6 + 192*B*b^14*c^3*d*e^6 - 1536*A*b^10*c^7*d^4*e^3 + 3072*A*b^11*c^6*d^3*e^4 - 1600*A*b^12*c^5*d^2*e^5 + 768*B*b^11*c^6*d^4*e^3 - 1088*B*b^12*c^5*d^3*e^4 + 128*B*b^13*c^4*d^2*e^5)/(64*b^12*c^3) + ((64*b^11*c^5*e^3 - 128*b^10*c^6*d*e^2)*(d + e*x)^(1/2)*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2) - (252*B^3*b^11*d^3*e^11 - 55296*A^3*c^11*d^11*e^3 - 694656*A^3*b^2*c^9*d^9*e^5 + 844992*A^3*b^3*c^8*d^8*e^6 - 579096*A^3*b^4*c^7*d^7*e^7 + 212436*A^3*b^5*c^6*d^6*e^8 - 31282*A^3*b^6*c^5*d^5*e^9 - 1877*A^3*b^7*c^4*d^4*e^10 + 616*A^3*b^8*c^3*d^3*e^11 + 35*A^3*b^9*c^2*d^2*e^12 + 6912*B^3*b^3*c^8*d^11*e^3 - 25920*B^3*b^4*c^7*d^10*e^4 + 33408*B^3*b^5*c^6*d^9*e^5 - 16808*B^3*b^6*c^5*d^8*e^6 + 5180*B^3*b^7*c^4*d^7*e^7 - 4816*B^3*b^8*c^3*d^6*e^8 + 1672*B^3*b^9*c^2*d^5*e^9 + 315*A*B^2*b^11*d^2*e^12 + 304128*A^3*b*c^10*d^10*e^4 + 120*B^3*b^10*c*d^4*e^10 - 41472*A*B^2*b^2*c^9*d^11*e^3 + 179712*A*B^2*b^3*c^8*d^10*e^4 - 293184*A*B^2*b^4*c^7*d^9*e^5 + 220464*A*B^2*b^5*c^6*d^8*e^6 - 83076*A*B^2*b^6*c^5*d^7*e^7 + 31899*A*B^2*b^7*c^4*d^6*e^8 - 18012*A*B^2*b^8*c^3*d^5*e^9 + 3522*A*B^2*b^9*c^2*d^4*e^10 - 407808*A^2*B*b^2*c^9*d^10*e^4 + 800064*A^2*B*b^3*c^8*d^9*e^5 - 790704*A^2*B*b^4*c^7*d^8*e^6 + 413028*A^2*B*b^5*c^6*d^7*e^7 - 122283*A^2*B*b^6*c^5*d^6*e^8 + 36402*A^2*B*b^7*c^4*d^5*e^9 - 13617*A^2*B*b^8*c^3*d^4*e^10 + 1764*A^2*B*b^9*c^2*d^3*e^11 - 168*A*B^2*b^10*c*d^3*e^11 + 82944*A^2*B*b*c^10*d^11*e^3 + 210*A^2*B*b^10*c*d^2*e^12)/(32*b^12*c^3)))*(-(9*B^2*b^9*e^7 - 2304*A^2*c^9*d^7 + A^2*b^7*c^2*e^7 - 576*B^2*b^2*c^7*d^7 - 10416*A^2*b^2*c^7*d^5*e^2 + 5880*A^2*b^3*c^6*d^4*e^3 - 1225*A^2*b^4*c^5*d^3*e^4 - 21*A^2*b^5*c^4*d^2*e^5 - 784*B^2*b^4*c^5*d^5*e^2 - 105*B^2*b^6*c^3*d^3*e^4 + 91*B^2*b^7*c^2*d^2*e^5 + 8064*A^2*b*c^8*d^6*e + 21*B^2*b^8*c*d*e^6 + 21*A^2*b^6*c^3*d*e^6 + 1344*B^2*b^3*c^6*d^6*e + 2304*A*B*b*c^8*d^7 + 6*A*B*b^8*c*e^7 - 6720*A*B*b^2*c^7*d^6*e + 70*A*B*b^7*c^2*d*e^6 + 6384*A*B*b^3*c^6*d^5*e^2 - 1960*A*B*b^4*c^5*d^4*e^3 + 210*A*B*b^5*c^4*d^3*e^4 - 294*A*B*b^6*c^3*d^2*e^5)/(64*b^10*c^5))^(1/2)*2i - log((d^2*e^3*(b*e - c*d)^2*(35*A^3*b^7*c^2*e^7 - 55296*A^3*c^9*d^7 + 6912*B^3*b^3*c^6*d^7 + 315*A*B^2*b^9*e^7 + 252*B^3*b^9*d*e^6 - 252288*A^3*b^2*c^7*d^5*e^2 + 146880*A^3*b^3*c^6*d^4*e^3 - 33048*A^3*b^4*c^5*d^3*e^4 - 540*A^3*b^5*c^4*d^2*e^5 + 2304*B^3*b^5*c^4*d^5*e^2 - 104*B^3*b^6*c^3*d^4*e^3 + 2668*B^3*b^7*c^2*d^3*e^4 + 82944*A^2*B*b*c^8*d^7 + 210*A^2*B*b^8*c*e^7 + 193536*A^3*b*c^8*d^6*e - 41472*A*B^2*b^2*c^7*d^7 + 686*A^3*b^6*c^3*d*e^6 - 12096*B^3*b^4*c^5*d^6*e + 624*B^3*b^8*c*d^2*e^5 - 58176*A*B^2*b^4*c^5*d^5*e^2 + 7344*A*B^2*b^5*c^4*d^4*e^3 - 10212*A*B^2*b^6*c^3*d^3*e^4 + 4131*A*B^2*b^7*c^2*d^2*e^5 + 233280*A^2*B*b^3*c^6*d^5*e^2 - 82224*A^2*B*b^4*c^5*d^4*e^3 + 15300*A^2*B*b^5*c^4*d^3*e^4 - 9459*A^2*B*b^6*c^3*d^2*e^5 + 462*A*B^2*b^8*c*d*e^6 + 96768*A*B^2*b^3*c^6*d^6*e - 241920*A^2*B*b^2*c^7*d^6*e + 2184*A^2*B*b^7*c^2*d*e^6))/(64*b^12*c^3) - (((((d*e^3*(b*e - c*d)*(24*A*c^3*d^2 + 3*B*b^3*e^2 + A*b^2*c*e^2 - 12*B*b*c^2*d^2 - 24*A*b*c^2*d*e + 5*B*b^2*c*d*e))/b^2 - b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))/8 - ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))/8)*((36*A^2*c^4*d^7 + 9*B^2*b^2*c^2*d^7 + (1225*A^2*b^4*d^3*e^4)/64 + (49*B^2*b^4*d^5*e^2)/4 + (651*A^2*b^2*c^2*d^5*e^2)/4 + (245*A*B*b^4*d^4*e^3)/8 - 126*A^2*b*c^3*d^6*e - 21*B^2*b^3*c*d^6*e - (735*A^2*b^3*c*d^4*e^3)/8 - 36*A*B*b*c^3*d^7 + 105*A*B*b^2*c^2*d^6*e - (399*A*B*b^3*c*d^5*e^2)/4)/b^10)^(1/2) + log((d^2*e^3*(b*e - c*d)^2*(35*A^3*b^7*c^2*e^7 - 55296*A^3*c^9*d^7 + 6912*B^3*b^3*c^6*d^7 + 315*A*B^2*b^9*e^7 + 252*B^3*b^9*d*e^6 - 252288*A^3*b^2*c^7*d^5*e^2 + 146880*A^3*b^3*c^6*d^4*e^3 - 33048*A^3*b^4*c^5*d^3*e^4 - 540*A^3*b^5*c^4*d^2*e^5 + 2304*B^3*b^5*c^4*d^5*e^2 - 104*B^3*b^6*c^3*d^4*e^3 + 2668*B^3*b^7*c^2*d^3*e^4 + 82944*A^2*B*b*c^8*d^7 + 210*A^2*B*b^8*c*e^7 + 193536*A^3*b*c^8*d^6*e - 41472*A*B^2*b^2*c^7*d^7 + 686*A^3*b^6*c^3*d*e^6 - 12096*B^3*b^4*c^5*d^6*e + 624*B^3*b^8*c*d^2*e^5 - 58176*A*B^2*b^4*c^5*d^5*e^2 + 7344*A*B^2*b^5*c^4*d^4*e^3 - 10212*A*B^2*b^6*c^3*d^3*e^4 + 4131*A*B^2*b^7*c^2*d^2*e^5 + 233280*A^2*B*b^3*c^6*d^5*e^2 - 82224*A^2*B*b^4*c^5*d^4*e^3 + 15300*A^2*B*b^5*c^4*d^3*e^4 - 9459*A^2*B*b^6*c^3*d^2*e^5 + 462*A*B^2*b^8*c*d*e^6 + 96768*A*B^2*b^3*c^6*d^6*e - 241920*A^2*B*b^2*c^7*d^6*e + 2184*A^2*B*b^7*c^2*d*e^6))/(64*b^12*c^3) - (((((d*e^3*(b*e - c*d)*(24*A*c^3*d^2 + 3*B*b^3*e^2 + A*b^2*c*e^2 - 12*B*b*c^2*d^2 - 24*A*b*c^2*d*e + 5*B*b^2*c*d*e))/b^2 + b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))/8 + ((d + e*x)^(1/2)*(9*B^2*b^10*e^10 + A^2*b^8*c^2*e^10 + 4608*A^2*c^10*d^8*e^2 + 28896*A^2*b^2*c^8*d^6*e^4 - 22176*A^2*b^3*c^7*d^5*e^5 + 8330*A^2*b^4*c^6*d^4*e^6 - 1204*A^2*b^5*c^5*d^3*e^7 - 42*A^2*b^6*c^4*d^2*e^8 + 1152*B^2*b^2*c^8*d^8*e^2 - 3264*B^2*b^3*c^7*d^7*e^3 + 2912*B^2*b^4*c^6*d^6*e^4 - 784*B^2*b^5*c^5*d^5*e^5 + 105*B^2*b^6*c^4*d^4*e^6 - 196*B^2*b^7*c^3*d^3*e^7 + 70*B^2*b^8*c^2*d^2*e^8 + 12*B^2*b^9*c*d*e^9 - 18432*A^2*b*c^9*d^7*e^3 + 20*A^2*b^7*c^3*d*e^9 + 6*A*B*b^9*c*e^10 - 4608*A*B*b*c^9*d^8*e^2 + 64*A*B*b^8*c^2*d*e^9 + 15744*A*B*b^2*c^8*d^7*e^3 - 19488*A*B*b^3*c^7*d^6*e^4 + 10304*A*B*b^4*c^6*d^5*e^5 - 2170*A*B*b^5*c^5*d^4*e^6 + 504*A*B*b^6*c^4*d^3*e^7 - 364*A*B*b^7*c^3*d^2*e^8))/(8*b^8*c^3))*((d^3*(35*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 28*B*b^2*d*e - 84*A*b*c*d*e)^2)/b^10)^(1/2))/8)*((2304*A^2*c^4*d^7 + 576*B^2*b^2*c^2*d^7 + 1225*A^2*b^4*d^3*e^4 + 784*B^2*b^4*d^5*e^2 + 10416*A^2*b^2*c^2*d^5*e^2 + 1960*A*B*b^4*d^4*e^3 - 8064*A^2*b*c^3*d^6*e - 1344*B^2*b^3*c*d^6*e - 5880*A^2*b^3*c*d^4*e^3 - 2304*A*B*b*c^3*d^7 + 6720*A*B*b^2*c^2*d^6*e - 6384*A*B*b^3*c*d^5*e^2)/(64*b^10))^(1/2) + (((d + e*x)^(7/2)*(A*b^3*c*e^4 - 5*B*b^4*e^4 + 24*A*c^4*d^3*e - 36*A*b*c^3*d^2*e^2 + 10*A*b^2*c^2*d*e^3 + 11*B*b^2*c^2*d^2*e^2 - 12*B*b*c^3*d^3*e + 2*B*b^3*c*d*e^3))/(4*b^4*c) - ((d + e*x)^(5/2)*(3*B*b^5*e^5 + A*b^4*c*e^5 + 72*A*c^5*d^4*e - 144*A*b*c^4*d^3*e^2 - 13*A*b^3*c^2*d*e^4 + 85*A*b^2*c^3*d^2*e^3 + 51*B*b^2*c^3*d^3*e^2 - 11*B*b^3*c^2*d^2*e^3 - 36*B*b*c^4*d^4*e - 11*B*b^4*c*d*e^4))/(4*b^4*c^2) - ((d + e*x)^(1/2)*(24*A*c^5*d^6*e + 3*B*b^5*d^2*e^5 - 72*A*b*c^4*d^5*e^2 + A*b^4*c*d^2*e^5 - B*b^4*c*d^3*e^4 + 73*A*b^2*c^3*d^4*e^3 - 26*A*b^3*c^2*d^3*e^4 + 29*B*b^2*c^3*d^5*e^2 - 19*B*b^3*c^2*d^4*e^3 - 12*B*b*c^4*d^6*e))/(4*b^4*c^2) + ((d + e*x)^(3/2)*(72*A*c^5*d^5*e + 6*B*b^5*d*e^5 - 180*A*b*c^4*d^4*e^2 - 7*B*b^4*c*d^2*e^4 + 148*A*b^2*c^3*d^3*e^3 - 42*A*b^3*c^2*d^2*e^4 + 69*B*b^2*c^3*d^4*e^2 - 32*B*b^3*c^2*d^3*e^3 + 2*A*b^4*c*d*e^5 - 36*B*b*c^4*d^5*e))/(4*b^4*c^2))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e)","B"
1249,1,7001,344,3.851849,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^3,x)","\frac{\frac{{\left(d+e\,x\right)}^{7/2}\,\left(B\,b^3\,e^3+7\,B\,b^2\,c\,d\,e^2+3\,A\,b^2\,c\,e^3-12\,B\,b\,c^2\,d^2\,e-24\,A\,b\,c^2\,d\,e^2+24\,A\,c^3\,d^2\,e\right)}{4\,b^4}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(B\,b^4\,e^4-8\,B\,b^3\,c\,d\,e^3-5\,A\,b^3\,c\,e^4+39\,B\,b^2\,c^2\,d^2\,e^2+46\,A\,b^2\,c^2\,d\,e^3-36\,B\,b\,c^3\,d^3\,e-108\,A\,b\,c^3\,d^2\,e^2+72\,A\,c^4\,d^3\,e\right)}{4\,b^4\,c}-\frac{\sqrt{d+e\,x}\,\left(B\,b^4\,d^2\,e^4-14\,B\,b^3\,c\,d^3\,e^3-12\,A\,b^3\,c\,d^2\,e^4+25\,B\,b^2\,c^2\,d^4\,e^2+48\,A\,b^2\,c^2\,d^3\,e^3-12\,B\,b\,c^3\,d^5\,e-60\,A\,b\,c^3\,d^4\,e^2+24\,A\,c^4\,d^5\,e\right)}{4\,b^4\,c}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,B\,b^4\,d\,e^4-23\,B\,b^3\,c\,d^2\,e^3-19\,A\,b^3\,c\,d\,e^4+57\,B\,b^2\,c^2\,d^3\,e^2+91\,A\,b^2\,c^2\,d^2\,e^3-36\,B\,b\,c^3\,d^4\,e-144\,A\,b\,c^3\,d^3\,e^2+72\,A\,c^4\,d^4\,e\right)}{4\,b^4\,c}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+c^2\,d^4+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e}-\frac{\sqrt{d}\,\mathrm{atan}\left(\frac{\frac{\sqrt{d}\,\left(\frac{\sqrt{d}\,\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}-\frac{\sqrt{d}\,\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{64\,b^{13}\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{8\,b^5}-\frac{\sqrt{d}\,\left(\frac{\sqrt{d}\,\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}+\frac{\sqrt{d}\,\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{64\,b^{13}\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{8\,b^5}}{\frac{\frac{135\,A^3\,b^7\,c^2\,d\,e^{10}}{32}-\frac{3375\,A^3\,b^6\,c^3\,d^2\,e^9}{32}+\frac{1917\,A^3\,b^5\,c^4\,d^3\,e^8}{2}-\frac{16389\,A^3\,b^4\,c^5\,d^4\,e^7}{4}+9180\,A^3\,b^3\,c^6\,d^5\,e^6-11124\,A^3\,b^2\,c^7\,d^6\,e^5+6912\,A^3\,b\,c^8\,d^7\,e^4-1728\,A^3\,c^9\,d^8\,e^3+\frac{45\,A^2\,B\,b^8\,c\,d\,e^{10}}{16}-\frac{495\,A^2\,B\,b^7\,c^2\,d^2\,e^9}{32}-\frac{9423\,A^2\,B\,b^6\,c^3\,d^3\,e^8}{32}+\frac{21717\,A^2\,B\,b^5\,c^4\,d^4\,e^7}{8}-\frac{17235\,A^2\,B\,b^4\,c^5\,d^5\,e^6}{2}+12906\,A^2\,B\,b^3\,c^6\,d^6\,e^5-9288\,A^2\,B\,b^2\,c^7\,d^7\,e^4+2592\,A^2\,B\,b\,c^8\,d^8\,e^3+\frac{15\,A\,B^2\,b^9\,d\,e^{10}}{32}+\frac{135\,A\,B^2\,b^8\,c\,d^2\,e^9}{16}-\frac{1281\,A\,B^2\,b^7\,c^2\,d^3\,e^8}{32}-\frac{3171\,A\,B^2\,b^6\,c^3\,d^4\,e^7}{8}+\frac{4815\,A\,B^2\,b^5\,c^4\,d^5\,e^6}{2}-4788\,A\,B^2\,b^4\,c^5\,d^6\,e^5+4104\,A\,B^2\,b^3\,c^6\,d^7\,e^4-1296\,A\,B^2\,b^2\,c^7\,d^8\,e^3+\frac{5\,B^3\,b^9\,d^2\,e^9}{8}+8\,B^3\,b^8\,c\,d^3\,e^8-\frac{59\,B^3\,b^7\,c^2\,d^4\,e^7}{8}-\frac{725\,B^3\,b^6\,c^3\,d^5\,e^6}{4}+558\,B^3\,b^5\,c^4\,d^6\,e^5-594\,B^3\,b^4\,c^5\,d^7\,e^4+216\,B^3\,b^3\,c^6\,d^8\,e^3}{b^{12}\,c}+\frac{\sqrt{d}\,\left(\frac{\sqrt{d}\,\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}-\frac{\sqrt{d}\,\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{64\,b^{13}\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}+\frac{\sqrt{d}\,\left(\frac{\sqrt{d}\,\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}+\frac{\sqrt{d}\,\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{64\,b^{13}\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}{8\,b^5}}\right)\,\left(20\,B\,b^2\,d\,e+15\,A\,b^2\,e^2-24\,B\,b\,c\,d^2-60\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{4\,b^5}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}-\frac{\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}-\frac{\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,b^{13}\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{8\,b^5\,c^3}+\frac{\left(\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}+\frac{\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}+\frac{\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,b^{13}\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{8\,b^5\,c^3}}{\frac{\frac{135\,A^3\,b^7\,c^2\,d\,e^{10}}{32}-\frac{3375\,A^3\,b^6\,c^3\,d^2\,e^9}{32}+\frac{1917\,A^3\,b^5\,c^4\,d^3\,e^8}{2}-\frac{16389\,A^3\,b^4\,c^5\,d^4\,e^7}{4}+9180\,A^3\,b^3\,c^6\,d^5\,e^6-11124\,A^3\,b^2\,c^7\,d^6\,e^5+6912\,A^3\,b\,c^8\,d^7\,e^4-1728\,A^3\,c^9\,d^8\,e^3+\frac{45\,A^2\,B\,b^8\,c\,d\,e^{10}}{16}-\frac{495\,A^2\,B\,b^7\,c^2\,d^2\,e^9}{32}-\frac{9423\,A^2\,B\,b^6\,c^3\,d^3\,e^8}{32}+\frac{21717\,A^2\,B\,b^5\,c^4\,d^4\,e^7}{8}-\frac{17235\,A^2\,B\,b^4\,c^5\,d^5\,e^6}{2}+12906\,A^2\,B\,b^3\,c^6\,d^6\,e^5-9288\,A^2\,B\,b^2\,c^7\,d^7\,e^4+2592\,A^2\,B\,b\,c^8\,d^8\,e^3+\frac{15\,A\,B^2\,b^9\,d\,e^{10}}{32}+\frac{135\,A\,B^2\,b^8\,c\,d^2\,e^9}{16}-\frac{1281\,A\,B^2\,b^7\,c^2\,d^3\,e^8}{32}-\frac{3171\,A\,B^2\,b^6\,c^3\,d^4\,e^7}{8}+\frac{4815\,A\,B^2\,b^5\,c^4\,d^5\,e^6}{2}-4788\,A\,B^2\,b^4\,c^5\,d^6\,e^5+4104\,A\,B^2\,b^3\,c^6\,d^7\,e^4-1296\,A\,B^2\,b^2\,c^7\,d^8\,e^3+\frac{5\,B^3\,b^9\,d^2\,e^9}{8}+8\,B^3\,b^8\,c\,d^3\,e^8-\frac{59\,B^3\,b^7\,c^2\,d^4\,e^7}{8}-\frac{725\,B^3\,b^6\,c^3\,d^5\,e^6}{4}+558\,B^3\,b^5\,c^4\,d^6\,e^5-594\,B^3\,b^4\,c^5\,d^7\,e^4+216\,B^3\,b^3\,c^6\,d^8\,e^3}{b^{12}\,c}-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}-\frac{\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}-\frac{\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,b^{13}\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}+\frac{\left(\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^6\,c^2\,e^8-234\,A^2\,b^5\,c^3\,d\,e^7+2250\,A^2\,b^4\,c^4\,d^2\,e^6-8640\,A^2\,b^3\,c^5\,d^3\,e^5+15840\,A^2\,b^2\,c^6\,d^4\,e^4-13824\,A^2\,b\,c^7\,d^5\,e^3+4608\,A^2\,c^8\,d^6\,e^2+6\,A\,B\,b^7\,c\,e^8-36\,A\,B\,b^6\,c^2\,d\,e^7-570\,A\,B\,b^5\,c^3\,d^2\,e^6+4320\,A\,B\,b^4\,c^4\,d^3\,e^5-11040\,A\,B\,b^3\,c^5\,d^4\,e^4+11904\,A\,B\,b^2\,c^6\,d^5\,e^3-4608\,A\,B\,b\,c^7\,d^6\,e^2+B^2\,b^8\,e^8+14\,B^2\,b^7\,c\,d\,e^7-15\,B^2\,b^6\,c^2\,d^2\,e^6-400\,B^2\,b^5\,c^3\,d^3\,e^5+1760\,B^2\,b^4\,c^4\,d^4\,e^4-2496\,B^2\,b^3\,c^5\,d^5\,e^3+1152\,B^2\,b^2\,c^6\,d^6\,e^2\right)}{8\,b^8\,c}+\frac{\left(\frac{-B\,b^{13}\,c^2\,d\,e^5+13\,B\,b^{12}\,c^3\,d^2\,e^4+12\,A\,b^{12}\,c^3\,d\,e^5-12\,B\,b^{11}\,c^4\,d^3\,e^3-36\,A\,b^{11}\,c^4\,d^2\,e^4+24\,A\,b^{10}\,c^5\,d^3\,e^3}{b^{12}\,c}+\frac{\left(64\,b^{11}\,c^3\,e^3-128\,b^{10}\,c^4\,d\,e^2\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,b^{13}\,c^4}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,b^5\,c^3}}\right)\,\sqrt{-c^3\,\left(b\,e-c\,d\right)}\,\left(B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+3\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-36\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{4\,b^5\,c^3}","Not used",1,"(((d + e*x)^(7/2)*(B*b^3*e^3 + 3*A*b^2*c*e^3 + 24*A*c^3*d^2*e - 24*A*b*c^2*d*e^2 - 12*B*b*c^2*d^2*e + 7*B*b^2*c*d*e^2))/(4*b^4) - ((d + e*x)^(5/2)*(B*b^4*e^4 - 5*A*b^3*c*e^4 + 72*A*c^4*d^3*e - 108*A*b*c^3*d^2*e^2 + 46*A*b^2*c^2*d*e^3 + 39*B*b^2*c^2*d^2*e^2 - 36*B*b*c^3*d^3*e - 8*B*b^3*c*d*e^3))/(4*b^4*c) - ((d + e*x)^(1/2)*(24*A*c^4*d^5*e + B*b^4*d^2*e^4 - 60*A*b*c^3*d^4*e^2 - 12*A*b^3*c*d^2*e^4 - 14*B*b^3*c*d^3*e^3 + 48*A*b^2*c^2*d^3*e^3 + 25*B*b^2*c^2*d^4*e^2 - 12*B*b*c^3*d^5*e))/(4*b^4*c) + ((d + e*x)^(3/2)*(72*A*c^4*d^4*e + 2*B*b^4*d*e^4 - 144*A*b*c^3*d^3*e^2 - 23*B*b^3*c*d^2*e^3 + 91*A*b^2*c^2*d^2*e^3 + 57*B*b^2*c^2*d^3*e^2 - 19*A*b^3*c*d*e^4 - 36*B*b*c^3*d^4*e))/(4*b^4*c))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e) - (d^(1/2)*atan(((d^(1/2)*((d^(1/2)*((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) - (d^(1/2)*(64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(d + e*x)^(1/2)*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(64*b^13*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5) - ((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e)*1i)/(8*b^5) - (d^(1/2)*((d^(1/2)*((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) + (d^(1/2)*(64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(d + e*x)^(1/2)*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(64*b^13*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5) + ((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e)*1i)/(8*b^5))/(((5*B^3*b^9*d^2*e^9)/8 - 1728*A^3*c^9*d^8*e^3 - 11124*A^3*b^2*c^7*d^6*e^5 + 9180*A^3*b^3*c^6*d^5*e^6 - (16389*A^3*b^4*c^5*d^4*e^7)/4 + (1917*A^3*b^5*c^4*d^3*e^8)/2 - (3375*A^3*b^6*c^3*d^2*e^9)/32 + 216*B^3*b^3*c^6*d^8*e^3 - 594*B^3*b^4*c^5*d^7*e^4 + 558*B^3*b^5*c^4*d^6*e^5 - (725*B^3*b^6*c^3*d^5*e^6)/4 - (59*B^3*b^7*c^2*d^4*e^7)/8 + (15*A*B^2*b^9*d*e^10)/32 + 6912*A^3*b*c^8*d^7*e^4 + (135*A^3*b^7*c^2*d*e^10)/32 + 8*B^3*b^8*c*d^3*e^8 - 1296*A*B^2*b^2*c^7*d^8*e^3 + 4104*A*B^2*b^3*c^6*d^7*e^4 - 4788*A*B^2*b^4*c^5*d^6*e^5 + (4815*A*B^2*b^5*c^4*d^5*e^6)/2 - (3171*A*B^2*b^6*c^3*d^4*e^7)/8 - (1281*A*B^2*b^7*c^2*d^3*e^8)/32 - 9288*A^2*B*b^2*c^7*d^7*e^4 + 12906*A^2*B*b^3*c^6*d^6*e^5 - (17235*A^2*B*b^4*c^5*d^5*e^6)/2 + (21717*A^2*B*b^5*c^4*d^4*e^7)/8 - (9423*A^2*B*b^6*c^3*d^3*e^8)/32 - (495*A^2*B*b^7*c^2*d^2*e^9)/32 + (45*A^2*B*b^8*c*d*e^10)/16 + (135*A*B^2*b^8*c*d^2*e^9)/16 + 2592*A^2*B*b*c^8*d^8*e^3)/(b^12*c) + (d^(1/2)*((d^(1/2)*((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) - (d^(1/2)*(64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(d + e*x)^(1/2)*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(64*b^13*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5) - ((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5) + (d^(1/2)*((d^(1/2)*((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) + (d^(1/2)*(64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(d + e*x)^(1/2)*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(64*b^13*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5) + ((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e))/(8*b^5)))*(15*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 + 20*B*b^2*d*e - 60*A*b*c*d*e)*1i)/(4*b^5) + (atan((((((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c) - (((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) - ((64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^13*c^4))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e)*1i)/(8*b^5*c^3) + ((((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c) + (((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) + ((64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^13*c^4))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e)*1i)/(8*b^5*c^3))/(((5*B^3*b^9*d^2*e^9)/8 - 1728*A^3*c^9*d^8*e^3 - 11124*A^3*b^2*c^7*d^6*e^5 + 9180*A^3*b^3*c^6*d^5*e^6 - (16389*A^3*b^4*c^5*d^4*e^7)/4 + (1917*A^3*b^5*c^4*d^3*e^8)/2 - (3375*A^3*b^6*c^3*d^2*e^9)/32 + 216*B^3*b^3*c^6*d^8*e^3 - 594*B^3*b^4*c^5*d^7*e^4 + 558*B^3*b^5*c^4*d^6*e^5 - (725*B^3*b^6*c^3*d^5*e^6)/4 - (59*B^3*b^7*c^2*d^4*e^7)/8 + (15*A*B^2*b^9*d*e^10)/32 + 6912*A^3*b*c^8*d^7*e^4 + (135*A^3*b^7*c^2*d*e^10)/32 + 8*B^3*b^8*c*d^3*e^8 - 1296*A*B^2*b^2*c^7*d^8*e^3 + 4104*A*B^2*b^3*c^6*d^7*e^4 - 4788*A*B^2*b^4*c^5*d^6*e^5 + (4815*A*B^2*b^5*c^4*d^5*e^6)/2 - (3171*A*B^2*b^6*c^3*d^4*e^7)/8 - (1281*A*B^2*b^7*c^2*d^3*e^8)/32 - 9288*A^2*B*b^2*c^7*d^7*e^4 + 12906*A^2*B*b^3*c^6*d^6*e^5 - (17235*A^2*B*b^4*c^5*d^5*e^6)/2 + (21717*A^2*B*b^5*c^4*d^4*e^7)/8 - (9423*A^2*B*b^6*c^3*d^3*e^8)/32 - (495*A^2*B*b^7*c^2*d^2*e^9)/32 + (45*A^2*B*b^8*c*d*e^10)/16 + (135*A*B^2*b^8*c*d^2*e^9)/16 + 2592*A^2*B*b*c^8*d^8*e^3)/(b^12*c) - ((((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c) - (((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) - ((64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^13*c^4))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3) + ((((d + e*x)^(1/2)*(B^2*b^8*e^8 + 9*A^2*b^6*c^2*e^8 + 4608*A^2*c^8*d^6*e^2 + 15840*A^2*b^2*c^6*d^4*e^4 - 8640*A^2*b^3*c^5*d^3*e^5 + 2250*A^2*b^4*c^4*d^2*e^6 + 1152*B^2*b^2*c^6*d^6*e^2 - 2496*B^2*b^3*c^5*d^5*e^3 + 1760*B^2*b^4*c^4*d^4*e^4 - 400*B^2*b^5*c^3*d^3*e^5 - 15*B^2*b^6*c^2*d^2*e^6 + 14*B^2*b^7*c*d*e^7 - 13824*A^2*b*c^7*d^5*e^3 - 234*A^2*b^5*c^3*d*e^7 + 6*A*B*b^7*c*e^8 - 4608*A*B*b*c^7*d^6*e^2 - 36*A*B*b^6*c^2*d*e^7 + 11904*A*B*b^2*c^6*d^5*e^3 - 11040*A*B*b^3*c^5*d^4*e^4 + 4320*A*B*b^4*c^4*d^3*e^5 - 570*A*B*b^5*c^3*d^2*e^6))/(8*b^8*c) + (((12*A*b^12*c^3*d*e^5 - B*b^13*c^2*d*e^5 + 24*A*b^10*c^5*d^3*e^3 - 36*A*b^11*c^4*d^2*e^4 - 12*B*b^11*c^4*d^3*e^3 + 13*B*b^12*c^3*d^2*e^4)/(b^12*c) + ((64*b^11*c^3*e^3 - 128*b^10*c^4*d*e^2)*(-c^3*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^13*c^4))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*b^5*c^3)))*(-c^3*(b*e - c*d))^(1/2)*(48*A*c^3*d^2 + B*b^3*e^2 + 3*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 36*A*b*c^2*d*e + 8*B*b^2*c*d*e)*1i)/(4*b^5*c^3)","B"
1250,1,5796,346,4.464807,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^3,x)","\frac{\frac{3\,\sqrt{d+e\,x}\,\left(3\,B\,b^3\,d^2\,e^3+A\,b^3\,d\,e^4-7\,B\,b^2\,c\,d^3\,e^2-9\,A\,b^2\,c\,d^2\,e^3+4\,B\,b\,c^2\,d^4\,e+16\,A\,b\,c^2\,d^3\,e^2-8\,A\,c^3\,d^4\,e\right)}{4\,b^4}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(14\,B\,b^3\,d\,e^3+5\,A\,b^3\,e^4-45\,B\,b^2\,c\,d^2\,e^2-46\,A\,b^2\,c\,d\,e^3+36\,B\,b\,c^2\,d^3\,e+108\,A\,b\,c^2\,d^2\,e^2-72\,A\,c^3\,d^3\,e\right)}{4\,b^4}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(5\,B\,b^3\,e^3-27\,B\,b^2\,c\,d\,e^2-19\,A\,b^2\,c\,e^3+36\,B\,b\,c^2\,d^2\,e+72\,A\,b\,c^2\,d\,e^2-72\,A\,c^3\,d^2\,e\right)}{4\,b^4}+\frac{3\,c\,{\left(d+e\,x\right)}^{7/2}\,\left(B\,b^2\,e^2-4\,A\,b\,c\,e^2-4\,B\,d\,b\,c\,e+8\,A\,d\,c^2\,e\right)}{4\,b^4}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+c^2\,d^4+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}-\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}-\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{64\,b^8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)\,3{}\mathrm{i}}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}+\frac{\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}+\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}+\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{64\,b^8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)\,3{}\mathrm{i}}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}}{\frac{\frac{135\,A^3\,b^5\,c^3\,e^8}{8}-\frac{1215\,A^3\,b^4\,c^4\,d\,e^7}{4}+1674\,A^3\,b^3\,c^5\,d^2\,e^6-3996\,A^3\,b^2\,c^6\,d^3\,e^5+4320\,A^3\,b\,c^7\,d^4\,e^4-1728\,A^3\,c^8\,d^5\,e^3-\frac{243\,A^2\,B\,b^6\,c^2\,e^8}{32}+\frac{1809\,A^2\,B\,b^5\,c^3\,d\,e^7}{8}-\frac{3267\,A^2\,B\,b^4\,c^4\,d^2\,e^6}{2}+4698\,A^2\,B\,b^3\,c^5\,d^3\,e^5-5832\,A^2\,B\,b^2\,c^6\,d^4\,e^4+2592\,A^2\,B\,b\,c^7\,d^5\,e^3+\frac{27\,A\,B^2\,b^7\,c\,e^8}{32}-\frac{405\,A\,B^2\,b^6\,c^2\,d\,e^7}{8}+\frac{999\,A\,B^2\,b^5\,c^3\,d^2\,e^6}{2}-1782\,A\,B^2\,b^4\,c^4\,d^3\,e^5+2592\,A\,B^2\,b^3\,c^5\,d^4\,e^4-1296\,A\,B^2\,b^2\,c^6\,d^5\,e^3+\frac{27\,B^3\,b^7\,c\,d\,e^7}{8}-\frac{189\,B^3\,b^6\,c^2\,d^2\,e^6}{4}+216\,B^3\,b^5\,c^3\,d^3\,e^5-378\,B^3\,b^4\,c^4\,d^4\,e^4+216\,B^3\,b^3\,c^5\,d^5\,e^3}{b^{12}}-\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}-\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}-\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{64\,b^8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}+\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}+\frac{3\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}+\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\sqrt{d+e\,x}\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{64\,b^8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}\right)\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)}{8\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}}\right)\,\sqrt{-c\,\left(b\,e-c\,d\right)}\,\left(-B\,b^3\,e^2+8\,B\,b^2\,c\,d\,e+5\,A\,b^2\,c\,e^2-8\,B\,b\,c^2\,d^2-20\,A\,b\,c^2\,d\,e+16\,A\,c^3\,d^2\right)\,3{}\mathrm{i}}{4\,\left(b^5\,c^2\,d-b^6\,c\,e\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}-\frac{3\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}-\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{64\,b^{13}\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)\,3{}\mathrm{i}}{8\,b^5\,\sqrt{d}}+\frac{\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}+\frac{3\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}+\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{64\,b^{13}\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)\,3{}\mathrm{i}}{8\,b^5\,\sqrt{d}}}{\frac{\frac{135\,A^3\,b^5\,c^3\,e^8}{8}-\frac{1215\,A^3\,b^4\,c^4\,d\,e^7}{4}+1674\,A^3\,b^3\,c^5\,d^2\,e^6-3996\,A^3\,b^2\,c^6\,d^3\,e^5+4320\,A^3\,b\,c^7\,d^4\,e^4-1728\,A^3\,c^8\,d^5\,e^3-\frac{243\,A^2\,B\,b^6\,c^2\,e^8}{32}+\frac{1809\,A^2\,B\,b^5\,c^3\,d\,e^7}{8}-\frac{3267\,A^2\,B\,b^4\,c^4\,d^2\,e^6}{2}+4698\,A^2\,B\,b^3\,c^5\,d^3\,e^5-5832\,A^2\,B\,b^2\,c^6\,d^4\,e^4+2592\,A^2\,B\,b\,c^7\,d^5\,e^3+\frac{27\,A\,B^2\,b^7\,c\,e^8}{32}-\frac{405\,A\,B^2\,b^6\,c^2\,d\,e^7}{8}+\frac{999\,A\,B^2\,b^5\,c^3\,d^2\,e^6}{2}-1782\,A\,B^2\,b^4\,c^4\,d^3\,e^5+2592\,A\,B^2\,b^3\,c^5\,d^4\,e^4-1296\,A\,B^2\,b^2\,c^6\,d^5\,e^3+\frac{27\,B^3\,b^7\,c\,d\,e^7}{8}-\frac{189\,B^3\,b^6\,c^2\,d^2\,e^6}{4}+216\,B^3\,b^5\,c^3\,d^3\,e^5-378\,B^3\,b^4\,c^4\,d^4\,e^4+216\,B^3\,b^3\,c^5\,d^5\,e^3}{b^{12}}-\frac{3\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}-\frac{3\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}-\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{64\,b^{13}\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}+\frac{3\,\left(\frac{\sqrt{d+e\,x}\,\left(234\,A^2\,b^4\,c^3\,e^6-2016\,A^2\,b^3\,c^4\,d\,e^5+6624\,A^2\,b^2\,c^5\,d^2\,e^4-9216\,A^2\,b\,c^6\,d^3\,e^3+4608\,A^2\,c^7\,d^4\,e^2-90\,A\,B\,b^5\,c^2\,e^6+1152\,A\,B\,b^4\,c^3\,d\,e^5-4896\,A\,B\,b^3\,c^4\,d^2\,e^4+8064\,A\,B\,b^2\,c^5\,d^3\,e^3-4608\,A\,B\,b\,c^6\,d^4\,e^2+9\,B^2\,b^6\,c\,e^6-144\,B^2\,b^5\,c^2\,d\,e^5+864\,B^2\,b^4\,c^3\,d^2\,e^4-1728\,B^2\,b^3\,c^4\,d^3\,e^3+1152\,B^2\,b^2\,c^5\,d^4\,e^2\right)}{8\,b^8}+\frac{3\,\left(\frac{9\,B\,b^{12}\,c^2\,d\,e^4+3\,A\,b^{12}\,c^2\,e^5-12\,B\,b^{11}\,c^3\,d^2\,e^3-24\,A\,b^{11}\,c^3\,d\,e^4+24\,A\,b^{10}\,c^4\,d^2\,e^3}{b^{12}}+\frac{3\,\left(64\,b^{11}\,c^2\,e^3-128\,b^{10}\,c^3\,d\,e^2\right)\,\sqrt{d+e\,x}\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{64\,b^{13}\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d}}}\right)\,\left(4\,B\,b^2\,d\,e+A\,b^2\,e^2-8\,B\,b\,c\,d^2-12\,A\,b\,c\,d\,e+16\,A\,c^2\,d^2\right)\,3{}\mathrm{i}}{4\,b^5\,\sqrt{d}}","Not used",1,"((3*(d + e*x)^(1/2)*(A*b^3*d*e^4 - 8*A*c^3*d^4*e + 3*B*b^3*d^2*e^3 + 16*A*b*c^2*d^3*e^2 - 9*A*b^2*c*d^2*e^3 - 7*B*b^2*c*d^3*e^2 + 4*B*b*c^2*d^4*e))/(4*b^4) - ((d + e*x)^(3/2)*(5*A*b^3*e^4 - 72*A*c^3*d^3*e + 14*B*b^3*d*e^3 + 108*A*b*c^2*d^2*e^2 - 45*B*b^2*c*d^2*e^2 - 46*A*b^2*c*d*e^3 + 36*B*b*c^2*d^3*e))/(4*b^4) + ((d + e*x)^(5/2)*(5*B*b^3*e^3 - 19*A*b^2*c*e^3 - 72*A*c^3*d^2*e + 72*A*b*c^2*d*e^2 + 36*B*b*c^2*d^2*e - 27*B*b^2*c*d*e^2))/(4*b^4) + (3*c*(d + e*x)^(7/2)*(B*b^2*e^2 - 4*A*b*c*e^2 + 8*A*c^2*d*e - 4*B*b*c*d*e))/(4*b^4))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e) + (atan((((-c*(b*e - c*d))^(1/2)*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) - (3*(-c*(b*e - c*d))^(1/2)*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 - (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e)*3i)/(8*(b^5*c^2*d - b^6*c*e)) + ((-c*(b*e - c*d))^(1/2)*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) + (3*(-c*(b*e - c*d))^(1/2)*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 + (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e)*3i)/(8*(b^5*c^2*d - b^6*c*e)))/(((135*A^3*b^5*c^3*e^8)/8 - 1728*A^3*c^8*d^5*e^3 - 3996*A^3*b^2*c^6*d^3*e^5 + 1674*A^3*b^3*c^5*d^2*e^6 + 216*B^3*b^3*c^5*d^5*e^3 - 378*B^3*b^4*c^4*d^4*e^4 + 216*B^3*b^5*c^3*d^3*e^5 - (189*B^3*b^6*c^2*d^2*e^6)/4 + (27*A*B^2*b^7*c*e^8)/32 + (27*B^3*b^7*c*d*e^7)/8 - (243*A^2*B*b^6*c^2*e^8)/32 + 4320*A^3*b*c^7*d^4*e^4 - (1215*A^3*b^4*c^4*d*e^7)/4 - 1296*A*B^2*b^2*c^6*d^5*e^3 + 2592*A*B^2*b^3*c^5*d^4*e^4 - 1782*A*B^2*b^4*c^4*d^3*e^5 + (999*A*B^2*b^5*c^3*d^2*e^6)/2 - 5832*A^2*B*b^2*c^6*d^4*e^4 + 4698*A^2*B*b^3*c^5*d^3*e^5 - (3267*A^2*B*b^4*c^4*d^2*e^6)/2 - (405*A*B^2*b^6*c^2*d*e^7)/8 + 2592*A^2*B*b*c^7*d^5*e^3 + (1809*A^2*B*b^5*c^3*d*e^7)/8)/b^12 - (3*(-c*(b*e - c*d))^(1/2)*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) - (3*(-c*(b*e - c*d))^(1/2)*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 - (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e)) + (3*(-c*(b*e - c*d))^(1/2)*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) + (3*(-c*(b*e - c*d))^(1/2)*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 + (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(-c*(b*e - c*d))^(1/2)*(d + e*x)^(1/2)*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(64*b^8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e)))*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e))/(8*(b^5*c^2*d - b^6*c*e))))*(-c*(b*e - c*d))^(1/2)*(16*A*c^3*d^2 - B*b^3*e^2 + 5*A*b^2*c*e^2 - 8*B*b*c^2*d^2 - 20*A*b*c^2*d*e + 8*B*b^2*c*d*e)*3i)/(4*(b^5*c^2*d - b^6*c*e)) + (atan((((((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) - (3*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 - (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(d + e*x)^(1/2)*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(64*b^13*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e)*3i)/(8*b^5*d^(1/2)) + ((((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) + (3*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 + (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(d + e*x)^(1/2)*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(64*b^13*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e)*3i)/(8*b^5*d^(1/2)))/(((135*A^3*b^5*c^3*e^8)/8 - 1728*A^3*c^8*d^5*e^3 - 3996*A^3*b^2*c^6*d^3*e^5 + 1674*A^3*b^3*c^5*d^2*e^6 + 216*B^3*b^3*c^5*d^5*e^3 - 378*B^3*b^4*c^4*d^4*e^4 + 216*B^3*b^5*c^3*d^3*e^5 - (189*B^3*b^6*c^2*d^2*e^6)/4 + (27*A*B^2*b^7*c*e^8)/32 + (27*B^3*b^7*c*d*e^7)/8 - (243*A^2*B*b^6*c^2*e^8)/32 + 4320*A^3*b*c^7*d^4*e^4 - (1215*A^3*b^4*c^4*d*e^7)/4 - 1296*A*B^2*b^2*c^6*d^5*e^3 + 2592*A*B^2*b^3*c^5*d^4*e^4 - 1782*A*B^2*b^4*c^4*d^3*e^5 + (999*A*B^2*b^5*c^3*d^2*e^6)/2 - 5832*A^2*B*b^2*c^6*d^4*e^4 + 4698*A^2*B*b^3*c^5*d^3*e^5 - (3267*A^2*B*b^4*c^4*d^2*e^6)/2 - (405*A*B^2*b^6*c^2*d*e^7)/8 + 2592*A^2*B*b*c^7*d^5*e^3 + (1809*A^2*B*b^5*c^3*d*e^7)/8)/b^12 - (3*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) - (3*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 - (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(d + e*x)^(1/2)*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(64*b^13*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2)) + (3*(((d + e*x)^(1/2)*(234*A^2*b^4*c^3*e^6 + 4608*A^2*c^7*d^4*e^2 + 9*B^2*b^6*c*e^6 + 6624*A^2*b^2*c^5*d^2*e^4 + 1152*B^2*b^2*c^5*d^4*e^2 - 1728*B^2*b^3*c^4*d^3*e^3 + 864*B^2*b^4*c^3*d^2*e^4 - 90*A*B*b^5*c^2*e^6 - 9216*A^2*b*c^6*d^3*e^3 - 2016*A^2*b^3*c^4*d*e^5 - 144*B^2*b^5*c^2*d*e^5 - 4608*A*B*b*c^6*d^4*e^2 + 1152*A*B*b^4*c^3*d*e^5 + 8064*A*B*b^2*c^5*d^3*e^3 - 4896*A*B*b^3*c^4*d^2*e^4))/(8*b^8) + (3*((3*A*b^12*c^2*e^5 - 24*A*b^11*c^3*d*e^4 + 9*B*b^12*c^2*d*e^4 + 24*A*b^10*c^4*d^2*e^3 - 12*B*b^11*c^3*d^2*e^3)/b^12 + (3*(64*b^11*c^2*e^3 - 128*b^10*c^3*d*e^2)*(d + e*x)^(1/2)*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(64*b^13*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2)))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e))/(8*b^5*d^(1/2))))*(A*b^2*e^2 + 16*A*c^2*d^2 - 8*B*b*c*d^2 + 4*B*b^2*d*e - 12*A*b*c*d*e)*3i)/(4*b^5*d^(1/2))","B"
1251,1,8411,317,5.716246,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^3,x)","\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(4\,B\,b^4\,d\,e^4+A\,b^4\,e^5-38\,B\,b^3\,c\,d^2\,e^3-13\,A\,b^3\,c\,d\,e^4+69\,B\,b^2\,c^2\,d^3\,e^2+85\,A\,b^2\,c^2\,d^2\,e^3-36\,B\,b\,c^3\,d^4\,e-144\,A\,b\,c^3\,d^3\,e^2+72\,A\,c^4\,d^4\,e\right)}{4\,b^4\,\left(c\,d^2-b\,d\,e\right)}-\frac{\sqrt{d+e\,x}\,\left(-4\,B\,b^3\,d\,e^3+A\,b^3\,e^4+17\,B\,b^2\,c\,d^2\,e^2+10\,A\,b^2\,c\,d\,e^3-12\,B\,b\,c^2\,d^3\,e-36\,A\,b\,c^2\,d^2\,e^2+24\,A\,c^3\,d^3\,e\right)}{4\,b^4}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(17\,B\,b^3\,c\,d\,e^3+2\,A\,b^3\,c\,e^4-51\,B\,b^2\,c^2\,d^2\,e^2-40\,A\,b^2\,c^2\,d\,e^3+36\,B\,b\,c^3\,d^3\,e+108\,A\,b\,c^3\,d^2\,e^2-72\,A\,c^4\,d^3\,e\right)}{4\,b^4\,\left(c\,d^2-b\,d\,e\right)}+\frac{c\,{\left(d+e\,x\right)}^{7/2}\,\left(11\,B\,b^2\,c\,d\,e^2+A\,b^2\,c\,e^3-12\,B\,b\,c^2\,d^2\,e-24\,A\,b\,c^2\,d\,e^2+24\,A\,c^3\,d^2\,e\right)}{4\,b^4\,\left(c\,d^2-b\,d\,e\right)}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+c^2\,d^4+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}+\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}-\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}-\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}}{\frac{-\frac{35\,A^3\,b^6\,c^4\,e^9}{32}+\frac{63\,A^3\,b^5\,c^5\,d\,e^8}{4}+\frac{1233\,A^3\,b^4\,c^6\,d^2\,e^7}{4}-2376\,A^3\,b^3\,c^7\,d^3\,e^6+5508\,A^3\,b^2\,c^8\,d^4\,e^5-5184\,A^3\,b\,c^9\,d^5\,e^4+1728\,A^3\,c^{10}\,d^6\,e^3+\frac{15\,A^2\,B\,b^7\,c^3\,e^9}{32}-\frac{465\,A^2\,B\,b^6\,c^4\,d\,e^8}{32}-\frac{2997\,A^2\,B\,b^5\,c^5\,d^2\,e^7}{8}+\frac{6291\,A^2\,B\,b^4\,c^6\,d^3\,e^6}{2}-7722\,A^2\,B\,b^3\,c^7\,d^4\,e^5+7560\,A^2\,B\,b^2\,c^8\,d^5\,e^4-2592\,A^2\,B\,b\,c^9\,d^6\,e^3+\frac{105\,A\,B^2\,b^7\,c^3\,d\,e^8}{32}+\frac{1215\,A\,B^2\,b^6\,c^4\,d^2\,e^7}{8}-\frac{2763\,A\,B^2\,b^5\,c^5\,d^3\,e^6}{2}+3600\,A\,B^2\,b^4\,c^6\,d^4\,e^5-3672\,A\,B^2\,b^3\,c^7\,d^5\,e^4+1296\,A\,B^2\,b^2\,c^8\,d^6\,e^3-\frac{165\,B^3\,b^7\,c^3\,d^2\,e^7}{8}+\frac{805\,B^3\,b^6\,c^4\,d^3\,e^6}{4}-558\,B^3\,b^5\,c^5\,d^4\,e^5+594\,B^3\,b^4\,c^6\,d^5\,e^4-216\,B^3\,b^3\,c^7\,d^6\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}+\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}-\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}-\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}-\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{64\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}\right)\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)}{8\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}}\right)\,\sqrt{-c\,{\left(b\,e-c\,d\right)}^3}\,\left(-15\,B\,b^3\,e^2+40\,B\,b^2\,c\,d\,e+35\,A\,b^2\,c\,e^2-24\,B\,b\,c^2\,d^2-84\,A\,b\,c^2\,d\,e+48\,A\,c^3\,d^2\right)\,1{}\mathrm{i}}{4\,\left(b^8\,e^3-3\,b^7\,c\,d\,e^2+3\,b^6\,c^2\,d^2\,e-b^5\,c^3\,d^3\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}+\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}-\frac{\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{64\,b^5\,\sqrt{d^3}\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{8\,b^5\,\sqrt{d^3}}+\frac{\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}-\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{64\,b^5\,\sqrt{d^3}\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{8\,b^5\,\sqrt{d^3}}}{\frac{-\frac{35\,A^3\,b^6\,c^4\,e^9}{32}+\frac{63\,A^3\,b^5\,c^5\,d\,e^8}{4}+\frac{1233\,A^3\,b^4\,c^6\,d^2\,e^7}{4}-2376\,A^3\,b^3\,c^7\,d^3\,e^6+5508\,A^3\,b^2\,c^8\,d^4\,e^5-5184\,A^3\,b\,c^9\,d^5\,e^4+1728\,A^3\,c^{10}\,d^6\,e^3+\frac{15\,A^2\,B\,b^7\,c^3\,e^9}{32}-\frac{465\,A^2\,B\,b^6\,c^4\,d\,e^8}{32}-\frac{2997\,A^2\,B\,b^5\,c^5\,d^2\,e^7}{8}+\frac{6291\,A^2\,B\,b^4\,c^6\,d^3\,e^6}{2}-7722\,A^2\,B\,b^3\,c^7\,d^4\,e^5+7560\,A^2\,B\,b^2\,c^8\,d^5\,e^4-2592\,A^2\,B\,b\,c^9\,d^6\,e^3+\frac{105\,A\,B^2\,b^7\,c^3\,d\,e^8}{32}+\frac{1215\,A\,B^2\,b^6\,c^4\,d^2\,e^7}{8}-\frac{2763\,A\,B^2\,b^5\,c^5\,d^3\,e^6}{2}+3600\,A\,B^2\,b^4\,c^6\,d^4\,e^5-3672\,A\,B^2\,b^3\,c^7\,d^5\,e^4+1296\,A\,B^2\,b^2\,c^8\,d^6\,e^3-\frac{165\,B^3\,b^7\,c^3\,d^2\,e^7}{8}+\frac{805\,B^3\,b^6\,c^4\,d^3\,e^6}{4}-558\,B^3\,b^5\,c^5\,d^4\,e^5+594\,B^3\,b^4\,c^6\,d^5\,e^4-216\,B^3\,b^3\,c^7\,d^6\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}+\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}-\frac{\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{64\,b^5\,\sqrt{d^3}\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(A^2\,b^6\,c^3\,e^8+22\,A^2\,b^5\,c^4\,d\,e^7+1226\,A^2\,b^4\,c^5\,d^2\,e^6-7104\,A^2\,b^3\,c^6\,d^3\,e^5+15072\,A^2\,b^2\,c^7\,d^4\,e^4-13824\,A^2\,b\,c^8\,d^5\,e^3+4608\,A^2\,c^9\,d^6\,e^2-8\,A\,B\,b^6\,c^3\,d\,e^7-1082\,A\,B\,b^5\,c^4\,d^2\,e^6+6368\,A\,B\,b^4\,c^5\,d^3\,e^5-14112\,A\,B\,b^3\,c^6\,d^4\,e^4+13440\,A\,B\,b^2\,c^7\,d^5\,e^3-4608\,A\,B\,b\,c^8\,d^6\,e^2+241\,B^2\,b^6\,c^3\,d^2\,e^6-1424\,B^2\,b^5\,c^4\,d^3\,e^5+3296\,B^2\,b^4\,c^5\,d^4\,e^4-3264\,B^2\,b^3\,c^6\,d^5\,e^3+1152\,B^2\,b^2\,c^7\,d^6\,e^2\right)}{8\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}-\frac{\left(\frac{-4\,B\,b^{14}\,c^2\,d^2\,e^6+A\,b^{14}\,c^2\,d\,e^7+21\,B\,b^{13}\,c^3\,d^3\,e^5+9\,A\,b^{13}\,c^3\,d^2\,e^6-29\,B\,b^{12}\,c^4\,d^4\,e^4-46\,A\,b^{12}\,c^4\,d^3\,e^5+12\,B\,b^{11}\,c^5\,d^5\,e^3+60\,A\,b^{11}\,c^5\,d^4\,e^4-24\,A\,b^{10}\,c^6\,d^5\,e^3}{b^{14}\,d^2\,e^2-2\,b^{13}\,c\,d^3\,e+b^{12}\,c^2\,d^4}+\frac{\sqrt{d+e\,x}\,\left(-64\,b^{13}\,c^2\,d^2\,e^5+256\,b^{12}\,c^3\,d^3\,e^4-320\,b^{11}\,c^4\,d^4\,e^3+128\,b^{10}\,c^5\,d^5\,e^2\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{64\,b^5\,\sqrt{d^3}\,\left(b^{10}\,d^2\,e^2-2\,b^9\,c\,d^3\,e+b^8\,c^2\,d^4\right)}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)}{8\,b^5\,\sqrt{d^3}}}\right)\,\left(-4\,B\,b^2\,d\,e+A\,b^2\,e^2+24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e-48\,A\,c^2\,d^2\right)\,1{}\mathrm{i}}{4\,b^5\,\sqrt{d^3}}","Not used",1,"(((d + e*x)^(3/2)*(A*b^4*e^5 + 72*A*c^4*d^4*e + 4*B*b^4*d*e^4 - 144*A*b*c^3*d^3*e^2 - 38*B*b^3*c*d^2*e^3 + 85*A*b^2*c^2*d^2*e^3 + 69*B*b^2*c^2*d^3*e^2 - 13*A*b^3*c*d*e^4 - 36*B*b*c^3*d^4*e))/(4*b^4*(c*d^2 - b*d*e)) - ((d + e*x)^(1/2)*(A*b^3*e^4 + 24*A*c^3*d^3*e - 4*B*b^3*d*e^3 - 36*A*b*c^2*d^2*e^2 + 17*B*b^2*c*d^2*e^2 + 10*A*b^2*c*d*e^3 - 12*B*b*c^2*d^3*e))/(4*b^4) + ((d + e*x)^(5/2)*(2*A*b^3*c*e^4 - 72*A*c^4*d^3*e + 108*A*b*c^3*d^2*e^2 - 40*A*b^2*c^2*d*e^3 - 51*B*b^2*c^2*d^2*e^2 + 36*B*b*c^3*d^3*e + 17*B*b^3*c*d*e^3))/(4*b^4*(c*d^2 - b*d*e)) + (c*(d + e*x)^(7/2)*(A*b^2*c*e^3 + 24*A*c^3*d^2*e - 24*A*b*c^2*d*e^2 - 12*B*b*c^2*d^2*e + 11*B*b^2*c*d*e^2))/(4*b^4*(c*d^2 - b*d*e)))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e) - (atan((((-c*(b*e - c*d)^3)^(1/2)*(((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) + (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) - ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(64*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e)*1i)/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)) + ((-c*(b*e - c*d)^3)^(1/2)*(((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) - (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(64*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e)*1i)/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))/((1728*A^3*c^10*d^6*e^3 - (35*A^3*b^6*c^4*e^9)/32 + 5508*A^3*b^2*c^8*d^4*e^5 - 2376*A^3*b^3*c^7*d^3*e^6 + (1233*A^3*b^4*c^6*d^2*e^7)/4 - 216*B^3*b^3*c^7*d^6*e^3 + 594*B^3*b^4*c^6*d^5*e^4 - 558*B^3*b^5*c^5*d^4*e^5 + (805*B^3*b^6*c^4*d^3*e^6)/4 - (165*B^3*b^7*c^3*d^2*e^7)/8 + (15*A^2*B*b^7*c^3*e^9)/32 - 5184*A^3*b*c^9*d^5*e^4 + (63*A^3*b^5*c^5*d*e^8)/4 + 1296*A*B^2*b^2*c^8*d^6*e^3 - 3672*A*B^2*b^3*c^7*d^5*e^4 + 3600*A*B^2*b^4*c^6*d^4*e^5 - (2763*A*B^2*b^5*c^5*d^3*e^6)/2 + (1215*A*B^2*b^6*c^4*d^2*e^7)/8 + 7560*A^2*B*b^2*c^8*d^5*e^4 - 7722*A^2*B*b^3*c^7*d^4*e^5 + (6291*A^2*B*b^4*c^6*d^3*e^6)/2 - (2997*A^2*B*b^5*c^5*d^2*e^7)/8 + (105*A*B^2*b^7*c^3*d*e^8)/32 - 2592*A^2*B*b*c^9*d^6*e^3 - (465*A^2*B*b^6*c^4*d*e^8)/32)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((-c*(b*e - c*d)^3)^(1/2)*(((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) + (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) - ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(64*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)) - ((-c*(b*e - c*d)^3)^(1/2)*(((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) - (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((-c*(b*e - c*d)^3)^(1/2)*(d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(64*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(-c*(b*e - c*d)^3)^(1/2)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)))*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e))/(8*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2))))*(-c*(b*e - c*d)^3)^(1/2)*(48*A*c^3*d^2 - 15*B*b^3*e^2 + 35*A*b^2*c*e^2 - 24*B*b*c^2*d^2 - 84*A*b*c^2*d*e + 40*B*b^2*c*d*e)*1i)/(4*(b^8*e^3 - b^5*c^3*d^3 + 3*b^6*c^2*d^2*e - 3*b^7*c*d*e^2)) - (atan((((((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) + (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) - ((d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(64*b^5*(d^3)^(1/2)*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)*1i)/(8*b^5*(d^3)^(1/2)) + ((((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) - (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(64*b^5*(d^3)^(1/2)*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)*1i)/(8*b^5*(d^3)^(1/2)))/((1728*A^3*c^10*d^6*e^3 - (35*A^3*b^6*c^4*e^9)/32 + 5508*A^3*b^2*c^8*d^4*e^5 - 2376*A^3*b^3*c^7*d^3*e^6 + (1233*A^3*b^4*c^6*d^2*e^7)/4 - 216*B^3*b^3*c^7*d^6*e^3 + 594*B^3*b^4*c^6*d^5*e^4 - 558*B^3*b^5*c^5*d^4*e^5 + (805*B^3*b^6*c^4*d^3*e^6)/4 - (165*B^3*b^7*c^3*d^2*e^7)/8 + (15*A^2*B*b^7*c^3*e^9)/32 - 5184*A^3*b*c^9*d^5*e^4 + (63*A^3*b^5*c^5*d*e^8)/4 + 1296*A*B^2*b^2*c^8*d^6*e^3 - 3672*A*B^2*b^3*c^7*d^5*e^4 + 3600*A*B^2*b^4*c^6*d^4*e^5 - (2763*A*B^2*b^5*c^5*d^3*e^6)/2 + (1215*A*B^2*b^6*c^4*d^2*e^7)/8 + 7560*A^2*B*b^2*c^8*d^5*e^4 - 7722*A^2*B*b^3*c^7*d^4*e^5 + (6291*A^2*B*b^4*c^6*d^3*e^6)/2 - (2997*A^2*B*b^5*c^5*d^2*e^7)/8 + (105*A*B^2*b^7*c^3*d*e^8)/32 - 2592*A^2*B*b*c^9*d^6*e^3 - (465*A^2*B*b^6*c^4*d*e^8)/32)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) + (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) - ((d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(64*b^5*(d^3)^(1/2)*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2)) - ((((d + e*x)^(1/2)*(A^2*b^6*c^3*e^8 + 4608*A^2*c^9*d^6*e^2 + 15072*A^2*b^2*c^7*d^4*e^4 - 7104*A^2*b^3*c^6*d^3*e^5 + 1226*A^2*b^4*c^5*d^2*e^6 + 1152*B^2*b^2*c^7*d^6*e^2 - 3264*B^2*b^3*c^6*d^5*e^3 + 3296*B^2*b^4*c^5*d^4*e^4 - 1424*B^2*b^5*c^4*d^3*e^5 + 241*B^2*b^6*c^3*d^2*e^6 - 13824*A^2*b*c^8*d^5*e^3 + 22*A^2*b^5*c^4*d*e^7 - 4608*A*B*b*c^8*d^6*e^2 - 8*A*B*b^6*c^3*d*e^7 + 13440*A*B*b^2*c^7*d^5*e^3 - 14112*A*B*b^3*c^6*d^4*e^4 + 6368*A*B*b^4*c^5*d^3*e^5 - 1082*A*B*b^5*c^4*d^2*e^6))/(8*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)) - (((A*b^14*c^2*d*e^7 - 24*A*b^10*c^6*d^5*e^3 + 60*A*b^11*c^5*d^4*e^4 - 46*A*b^12*c^4*d^3*e^5 + 9*A*b^13*c^3*d^2*e^6 + 12*B*b^11*c^5*d^5*e^3 - 29*B*b^12*c^4*d^4*e^4 + 21*B*b^13*c^3*d^3*e^5 - 4*B*b^14*c^2*d^2*e^6)/(b^12*c^2*d^4 + b^14*d^2*e^2 - 2*b^13*c*d^3*e) + ((d + e*x)^(1/2)*(128*b^10*c^5*d^5*e^2 - 320*b^11*c^4*d^4*e^3 + 256*b^12*c^3*d^3*e^4 - 64*b^13*c^2*d^2*e^5)*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(64*b^5*(d^3)^(1/2)*(b^8*c^2*d^4 + b^10*d^2*e^2 - 2*b^9*c*d^3*e)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2)))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e))/(8*b^5*(d^3)^(1/2))))*(A*b^2*e^2 - 48*A*c^2*d^2 + 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)*1i)/(4*b^5*(d^3)^(1/2))","B"
1252,1,11338,394,7.110473,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^3*(d + e*x)^(1/2)),x)","\ln\left(\frac{\left(\frac{\left(\frac{c^2\,e^3\,\left(-4\,B\,b^4\,d\,e^3+3\,A\,b^4\,e^4-12\,B\,b^3\,c\,d^2\,e^2+3\,A\,b^3\,c\,d\,e^3+25\,B\,b^2\,c^2\,d^3\,e+21\,A\,b^2\,c^2\,d^2\,e^2-12\,B\,b\,c^3\,d^4-48\,A\,b\,c^3\,d^3\,e+24\,A\,c^4\,d^4\right)}{b^2\,d^2\,{\left(b\,e-c\,d\right)}^2}-b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}\right)\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}}{8}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,b^8\,d^4\,{\left(b\,e-c\,d\right)}^4}\right)\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}}{8}-\frac{567\,A^3\,b^7\,c^5\,e^{10}+2430\,A^3\,b^6\,c^6\,d\,e^9+1404\,A^3\,b^5\,c^7\,d^2\,e^8-13608\,A^3\,b^4\,c^8\,d^3\,e^7-77760\,A^3\,b^3\,c^9\,d^4\,e^6+224640\,A^3\,b^2\,c^{10}\,d^5\,e^5-193536\,A^3\,b\,c^{11}\,d^6\,e^4+55296\,A^3\,c^{12}\,d^7\,e^3-315\,A^2\,B\,b^8\,c^4\,e^{10}-2898\,A^2\,B\,b^7\,c^5\,d\,e^9-3861\,A^2\,B\,b^6\,c^6\,d^2\,e^8+15516\,A^2\,B\,b^5\,c^7\,d^3\,e^7+136368\,A^2\,B\,b^4\,c^8\,d^4\,e^6-357696\,A^2\,B\,b^3\,c^9\,d^5\,e^5+297216\,A^2\,B\,b^2\,c^{10}\,d^6\,e^4-82944\,A^2\,B\,b\,c^{11}\,d^7\,e^3+840\,A\,B^2\,b^8\,c^4\,d\,e^9+2709\,A\,B^2\,b^7\,c^5\,d^2\,e^8-4764\,A\,B^2\,b^6\,c^6\,d^3\,e^7-78768\,A\,B^2\,b^5\,c^7\,d^4\,e^6+189504\,A\,B^2\,b^4\,c^8\,d^5\,e^5-152064\,A\,B^2\,b^3\,c^9\,d^6\,e^4+41472\,A\,B^2\,b^2\,c^{10}\,d^7\,e^3-560\,B^3\,b^8\,c^4\,d^2\,e^8+196\,B^3\,b^7\,c^5\,d^3\,e^7+15016\,B^3\,b^6\,c^6\,d^4\,e^6-33408\,B^3\,b^5\,c^7\,d^5\,e^5+25920\,B^3\,b^4\,c^8\,d^6\,e^4-6912\,B^3\,b^3\,c^9\,d^7\,e^3}{64\,b^{12}\,d^4\,{\left(b\,e-c\,d\right)}^4}\right)\,\sqrt{\frac{9\,A^2\,b^4\,e^4+72\,A^2\,b^3\,c\,d\,e^3+432\,A^2\,b^2\,c^2\,d^2\,e^2+1152\,A^2\,b\,c^3\,d^3\,e+2304\,A^2\,c^4\,d^4-24\,A\,B\,b^4\,d\,e^3-240\,A\,B\,b^3\,c\,d^2\,e^2-960\,A\,B\,b^2\,c^2\,d^3\,e-2304\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+192\,B^2\,b^3\,c\,d^3\,e+576\,B^2\,b^2\,c^2\,d^4}{64\,b^{10}\,d^5}}-\ln\left(\frac{\left(\frac{\left(\frac{c^2\,e^3\,\left(-4\,B\,b^4\,d\,e^3+3\,A\,b^4\,e^4-12\,B\,b^3\,c\,d^2\,e^2+3\,A\,b^3\,c\,d\,e^3+25\,B\,b^2\,c^2\,d^3\,e+21\,A\,b^2\,c^2\,d^2\,e^2-12\,B\,b\,c^3\,d^4-48\,A\,b\,c^3\,d^3\,e+24\,A\,c^4\,d^4\right)}{b^2\,d^2\,{\left(b\,e-c\,d\right)}^2}+b^2\,c^2\,e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}\right)\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}}{8}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,b^8\,d^4\,{\left(b\,e-c\,d\right)}^4}\right)\,\sqrt{\frac{{\left(-4\,B\,b^2\,d\,e+3\,A\,b^2\,e^2-24\,B\,b\,c\,d^2+12\,A\,b\,c\,d\,e+48\,A\,c^2\,d^2\right)}^2}{b^{10}\,d^5}}}{8}-\frac{567\,A^3\,b^7\,c^5\,e^{10}+2430\,A^3\,b^6\,c^6\,d\,e^9+1404\,A^3\,b^5\,c^7\,d^2\,e^8-13608\,A^3\,b^4\,c^8\,d^3\,e^7-77760\,A^3\,b^3\,c^9\,d^4\,e^6+224640\,A^3\,b^2\,c^{10}\,d^5\,e^5-193536\,A^3\,b\,c^{11}\,d^6\,e^4+55296\,A^3\,c^{12}\,d^7\,e^3-315\,A^2\,B\,b^8\,c^4\,e^{10}-2898\,A^2\,B\,b^7\,c^5\,d\,e^9-3861\,A^2\,B\,b^6\,c^6\,d^2\,e^8+15516\,A^2\,B\,b^5\,c^7\,d^3\,e^7+136368\,A^2\,B\,b^4\,c^8\,d^4\,e^6-357696\,A^2\,B\,b^3\,c^9\,d^5\,e^5+297216\,A^2\,B\,b^2\,c^{10}\,d^6\,e^4-82944\,A^2\,B\,b\,c^{11}\,d^7\,e^3+840\,A\,B^2\,b^8\,c^4\,d\,e^9+2709\,A\,B^2\,b^7\,c^5\,d^2\,e^8-4764\,A\,B^2\,b^6\,c^6\,d^3\,e^7-78768\,A\,B^2\,b^5\,c^7\,d^4\,e^6+189504\,A\,B^2\,b^4\,c^8\,d^5\,e^5-152064\,A\,B^2\,b^3\,c^9\,d^6\,e^4+41472\,A\,B^2\,b^2\,c^{10}\,d^7\,e^3-560\,B^3\,b^8\,c^4\,d^2\,e^8+196\,B^3\,b^7\,c^5\,d^3\,e^7+15016\,B^3\,b^6\,c^6\,d^4\,e^6-33408\,B^3\,b^5\,c^7\,d^5\,e^5+25920\,B^3\,b^4\,c^8\,d^6\,e^4-6912\,B^3\,b^3\,c^9\,d^7\,e^3}{64\,b^{12}\,d^4\,{\left(b\,e-c\,d\right)}^4}\right)\,\sqrt{\frac{\frac{9\,A^2\,b^4\,e^4}{64}+\frac{9\,A^2\,b^3\,c\,d\,e^3}{8}+\frac{27\,A^2\,b^2\,c^2\,d^2\,e^2}{4}+18\,A^2\,b\,c^3\,d^3\,e+36\,A^2\,c^4\,d^4-\frac{3\,A\,B\,b^4\,d\,e^3}{8}-\frac{15\,A\,B\,b^3\,c\,d^2\,e^2}{4}-15\,A\,B\,b^2\,c^2\,d^3\,e-36\,A\,B\,b\,c^3\,d^4+\frac{B^2\,b^4\,d^2\,e^2}{4}+3\,B^2\,b^3\,c\,d^3\,e+9\,B^2\,b^2\,c^2\,d^4}{b^{10}\,d^5}}-\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(4\,B\,b^5\,d\,e^5-3\,A\,b^5\,e^6-24\,B\,b^4\,c\,d^2\,e^4+10\,A\,b^4\,c\,d\,e^5+74\,B\,b^3\,c^2\,d^3\,e^3+24\,A\,b^3\,c^2\,d^2\,e^4-93\,B\,b^2\,c^3\,d^4\,e^2-136\,A\,b^2\,c^3\,d^3\,e^3+36\,B\,b\,c^4\,d^5\,e+180\,A\,b\,c^4\,d^4\,e^2-72\,A\,c^5\,d^5\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^2}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(-8\,B\,b^4\,c\,d\,e^4+6\,A\,b^4\,c\,e^5+41\,B\,b^3\,c^2\,d^2\,e^3+A\,b^3\,c^2\,d\,e^4-75\,B\,b^2\,c^3\,d^3\,e^2-73\,A\,b^2\,c^3\,d^2\,e^3+36\,B\,b\,c^4\,d^4\,e+144\,A\,b\,c^4\,d^3\,e^2-72\,A\,c^5\,d^4\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^2}+\frac{\sqrt{d+e\,x}\,\left(4\,B\,b^4\,d\,e^4-5\,A\,b^4\,e^5-12\,B\,b^3\,c\,d^2\,e^3+3\,A\,b^3\,c\,d\,e^4+25\,B\,b^2\,c^2\,d^3\,e^2+21\,A\,b^2\,c^2\,d^2\,e^3-12\,B\,b\,c^3\,d^4\,e-48\,A\,b\,c^3\,d^3\,e^2+24\,A\,c^4\,d^4\,e\right)}{4\,b^4\,\left(c\,d^2-b\,d\,e\right)}-\frac{c\,{\left(d+e\,x\right)}^{7/2}\,\left(-4\,B\,b^3\,c\,d\,e^3+3\,A\,b^3\,c\,e^4+19\,B\,b^2\,c^2\,d^2\,e^2+6\,A\,b^2\,c^2\,d\,e^3-12\,B\,b\,c^3\,d^3\,e-36\,A\,b\,c^3\,d^2\,e^2+24\,A\,c^4\,d^3\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^2}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+c^2\,d^4+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e}-\mathrm{atan}\left(\frac{\left(\left(\frac{256\,B\,b^{16}\,c^2\,d^3\,e^8-192\,A\,b^{16}\,c^2\,d^2\,e^9+256\,B\,b^{15}\,c^3\,d^4\,e^7+192\,A\,b^{15}\,c^3\,d^3\,e^8-2880\,B\,b^{14}\,c^4\,d^5\,e^6-1152\,A\,b^{14}\,c^4\,d^4\,e^7+4736\,B\,b^{13}\,c^5\,d^6\,e^5+5568\,A\,b^{13}\,c^5\,d^5\,e^6-3136\,B\,b^{12}\,c^6\,d^7\,e^4-9024\,A\,b^{12}\,c^6\,d^6\,e^5+768\,B\,b^{11}\,c^7\,d^8\,e^3+6144\,A\,b^{11}\,c^7\,d^7\,e^4-1536\,A\,b^{10}\,c^8\,d^8\,e^3}{64\,\left(b^{16}\,d^4\,e^4-4\,b^{15}\,c\,d^5\,e^3+6\,b^{14}\,c^2\,d^6\,e^2-4\,b^{13}\,c^3\,d^7\,e+b^{12}\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,\left(-64\,b^{15}\,c^2\,d^4\,e^7+384\,b^{14}\,c^3\,d^5\,e^6-896\,b^{13}\,c^4\,d^6\,e^5+1024\,b^{12}\,c^5\,d^7\,e^4-576\,b^{11}\,c^6\,d^8\,e^3+128\,b^{10}\,c^7\,d^9\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{256\,B\,b^{16}\,c^2\,d^3\,e^8-192\,A\,b^{16}\,c^2\,d^2\,e^9+256\,B\,b^{15}\,c^3\,d^4\,e^7+192\,A\,b^{15}\,c^3\,d^3\,e^8-2880\,B\,b^{14}\,c^4\,d^5\,e^6-1152\,A\,b^{14}\,c^4\,d^4\,e^7+4736\,B\,b^{13}\,c^5\,d^6\,e^5+5568\,A\,b^{13}\,c^5\,d^5\,e^6-3136\,B\,b^{12}\,c^6\,d^7\,e^4-9024\,A\,b^{12}\,c^6\,d^6\,e^5+768\,B\,b^{11}\,c^7\,d^8\,e^3+6144\,A\,b^{11}\,c^7\,d^7\,e^4-1536\,A\,b^{10}\,c^8\,d^8\,e^3}{64\,\left(b^{16}\,d^4\,e^4-4\,b^{15}\,c\,d^5\,e^3+6\,b^{14}\,c^2\,d^6\,e^2-4\,b^{13}\,c^3\,d^7\,e+b^{12}\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,\left(-64\,b^{15}\,c^2\,d^4\,e^7+384\,b^{14}\,c^3\,d^5\,e^6-896\,b^{13}\,c^4\,d^6\,e^5+1024\,b^{12}\,c^5\,d^7\,e^4-576\,b^{11}\,c^6\,d^8\,e^3+128\,b^{10}\,c^7\,d^9\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,1{}\mathrm{i}}{\frac{567\,A^3\,b^7\,c^5\,e^{10}+2430\,A^3\,b^6\,c^6\,d\,e^9+1404\,A^3\,b^5\,c^7\,d^2\,e^8-13608\,A^3\,b^4\,c^8\,d^3\,e^7-77760\,A^3\,b^3\,c^9\,d^4\,e^6+224640\,A^3\,b^2\,c^{10}\,d^5\,e^5-193536\,A^3\,b\,c^{11}\,d^6\,e^4+55296\,A^3\,c^{12}\,d^7\,e^3-315\,A^2\,B\,b^8\,c^4\,e^{10}-2898\,A^2\,B\,b^7\,c^5\,d\,e^9-3861\,A^2\,B\,b^6\,c^6\,d^2\,e^8+15516\,A^2\,B\,b^5\,c^7\,d^3\,e^7+136368\,A^2\,B\,b^4\,c^8\,d^4\,e^6-357696\,A^2\,B\,b^3\,c^9\,d^5\,e^5+297216\,A^2\,B\,b^2\,c^{10}\,d^6\,e^4-82944\,A^2\,B\,b\,c^{11}\,d^7\,e^3+840\,A\,B^2\,b^8\,c^4\,d\,e^9+2709\,A\,B^2\,b^7\,c^5\,d^2\,e^8-4764\,A\,B^2\,b^6\,c^6\,d^3\,e^7-78768\,A\,B^2\,b^5\,c^7\,d^4\,e^6+189504\,A\,B^2\,b^4\,c^8\,d^5\,e^5-152064\,A\,B^2\,b^3\,c^9\,d^6\,e^4+41472\,A\,B^2\,b^2\,c^{10}\,d^7\,e^3-560\,B^3\,b^8\,c^4\,d^2\,e^8+196\,B^3\,b^7\,c^5\,d^3\,e^7+15016\,B^3\,b^6\,c^6\,d^4\,e^6-33408\,B^3\,b^5\,c^7\,d^5\,e^5+25920\,B^3\,b^4\,c^8\,d^6\,e^4-6912\,B^3\,b^3\,c^9\,d^7\,e^3}{32\,\left(b^{16}\,d^4\,e^4-4\,b^{15}\,c\,d^5\,e^3+6\,b^{14}\,c^2\,d^6\,e^2-4\,b^{13}\,c^3\,d^7\,e+b^{12}\,c^4\,d^8\right)}+\left(\left(\frac{256\,B\,b^{16}\,c^2\,d^3\,e^8-192\,A\,b^{16}\,c^2\,d^2\,e^9+256\,B\,b^{15}\,c^3\,d^4\,e^7+192\,A\,b^{15}\,c^3\,d^3\,e^8-2880\,B\,b^{14}\,c^4\,d^5\,e^6-1152\,A\,b^{14}\,c^4\,d^4\,e^7+4736\,B\,b^{13}\,c^5\,d^6\,e^5+5568\,A\,b^{13}\,c^5\,d^5\,e^6-3136\,B\,b^{12}\,c^6\,d^7\,e^4-9024\,A\,b^{12}\,c^6\,d^6\,e^5+768\,B\,b^{11}\,c^7\,d^8\,e^3+6144\,A\,b^{11}\,c^7\,d^7\,e^4-1536\,A\,b^{10}\,c^8\,d^8\,e^3}{64\,\left(b^{16}\,d^4\,e^4-4\,b^{15}\,c\,d^5\,e^3+6\,b^{14}\,c^2\,d^6\,e^2-4\,b^{13}\,c^3\,d^7\,e+b^{12}\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,\left(-64\,b^{15}\,c^2\,d^4\,e^7+384\,b^{14}\,c^3\,d^5\,e^6-896\,b^{13}\,c^4\,d^6\,e^5+1024\,b^{12}\,c^5\,d^7\,e^4-576\,b^{11}\,c^6\,d^8\,e^3+128\,b^{10}\,c^7\,d^9\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}+\left(\left(\frac{256\,B\,b^{16}\,c^2\,d^3\,e^8-192\,A\,b^{16}\,c^2\,d^2\,e^9+256\,B\,b^{15}\,c^3\,d^4\,e^7+192\,A\,b^{15}\,c^3\,d^3\,e^8-2880\,B\,b^{14}\,c^4\,d^5\,e^6-1152\,A\,b^{14}\,c^4\,d^4\,e^7+4736\,B\,b^{13}\,c^5\,d^6\,e^5+5568\,A\,b^{13}\,c^5\,d^5\,e^6-3136\,B\,b^{12}\,c^6\,d^7\,e^4-9024\,A\,b^{12}\,c^6\,d^6\,e^5+768\,B\,b^{11}\,c^7\,d^8\,e^3+6144\,A\,b^{11}\,c^7\,d^7\,e^4-1536\,A\,b^{10}\,c^8\,d^8\,e^3}{64\,\left(b^{16}\,d^4\,e^4-4\,b^{15}\,c\,d^5\,e^3+6\,b^{14}\,c^2\,d^6\,e^2-4\,b^{13}\,c^3\,d^7\,e+b^{12}\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,\left(-64\,b^{15}\,c^2\,d^4\,e^7+384\,b^{14}\,c^3\,d^5\,e^6-896\,b^{13}\,c^4\,d^6\,e^5+1024\,b^{12}\,c^5\,d^7\,e^4-576\,b^{11}\,c^6\,d^8\,e^3+128\,b^{10}\,c^7\,d^9\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,b^8\,c^3\,e^{10}+36\,A^2\,b^7\,c^4\,d\,e^9+198\,A^2\,b^6\,c^5\,d^2\,e^8-180\,A^2\,b^5\,c^6\,d^3\,e^7+3978\,A^2\,b^4\,c^7\,d^4\,e^6-17568\,A^2\,b^3\,c^8\,d^5\,e^5+27360\,A^2\,b^2\,c^9\,d^6\,e^4-18432\,A^2\,b\,c^{10}\,d^7\,e^3+4608\,A^2\,c^{11}\,d^8\,e^2-24\,A\,B\,b^8\,c^3\,d\,e^9-144\,A\,B\,b^7\,c^4\,d^2\,e^8-144\,A\,B\,b^6\,c^5\,d^3\,e^7-4218\,A\,B\,b^5\,c^6\,d^4\,e^6+19008\,A\,B\,b^4\,c^7\,d^5\,e^5-28704\,A\,B\,b^3\,c^8\,d^6\,e^4+18816\,A\,B\,b^2\,c^9\,d^7\,e^3-4608\,A\,B\,b\,c^{10}\,d^8\,e^2+16\,B^2\,b^8\,c^3\,d^2\,e^8+128\,B^2\,b^7\,c^4\,d^3\,e^7+1129\,B^2\,b^6\,c^5\,d^4\,e^6-5136\,B^2\,b^5\,c^6\,d^5\,e^5+7520\,B^2\,b^4\,c^7\,d^6\,e^4-4800\,B^2\,b^3\,c^8\,d^7\,e^3+1152\,B^2\,b^2\,c^9\,d^8\,e^2\right)}{8\,\left(b^{12}\,d^4\,e^4-4\,b^{11}\,c\,d^5\,e^3+6\,b^{10}\,c^2\,d^6\,e^2-4\,b^9\,c^3\,d^7\,e+b^8\,c^4\,d^8\right)}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}}\right)\,\sqrt{-\frac{3969\,A^2\,b^4\,c^5\,e^4-13608\,A^2\,b^3\,c^6\,d\,e^3+17712\,A^2\,b^2\,c^7\,d^2\,e^2-10368\,A^2\,b\,c^8\,d^3\,e+2304\,A^2\,c^9\,d^4-4410\,A\,B\,b^5\,c^4\,e^4+14616\,A\,B\,b^4\,c^5\,d\,e^3-18480\,A\,B\,b^3\,c^6\,d^2\,e^2+10560\,A\,B\,b^2\,c^7\,d^3\,e-2304\,A\,B\,b\,c^8\,d^4+1225\,B^2\,b^6\,c^3\,e^4-3920\,B^2\,b^5\,c^4\,d\,e^3+4816\,B^2\,b^4\,c^5\,d^2\,e^2-2688\,B^2\,b^3\,c^6\,d^3\,e+576\,B^2\,b^2\,c^7\,d^4}{64\,\left(b^{15}\,e^5-5\,b^{14}\,c\,d\,e^4+10\,b^{13}\,c^2\,d^2\,e^3-10\,b^{12}\,c^3\,d^3\,e^2+5\,b^{11}\,c^4\,d^4\,e-b^{10}\,c^5\,d^5\right)}}\,2{}\mathrm{i}","Not used",1,"log((((((c^2*e^3*(3*A*b^4*e^4 + 24*A*c^4*d^4 - 12*B*b*c^3*d^4 - 4*B*b^4*d*e^3 + 25*B*b^2*c^2*d^3*e - 12*B*b^3*c*d^2*e^2 + 21*A*b^2*c^2*d^2*e^2 - 48*A*b*c^3*d^3*e + 3*A*b^3*c*d*e^3))/(b^2*d^2*(b*e - c*d)^2) - b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))/8 - ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*b^8*d^4*(b*e - c*d)^4))*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))/8 - (567*A^3*b^7*c^5*e^10 + 55296*A^3*c^12*d^7*e^3 + 224640*A^3*b^2*c^10*d^5*e^5 - 77760*A^3*b^3*c^9*d^4*e^6 - 13608*A^3*b^4*c^8*d^3*e^7 + 1404*A^3*b^5*c^7*d^2*e^8 - 6912*B^3*b^3*c^9*d^7*e^3 + 25920*B^3*b^4*c^8*d^6*e^4 - 33408*B^3*b^5*c^7*d^5*e^5 + 15016*B^3*b^6*c^6*d^4*e^6 + 196*B^3*b^7*c^5*d^3*e^7 - 560*B^3*b^8*c^4*d^2*e^8 - 315*A^2*B*b^8*c^4*e^10 - 193536*A^3*b*c^11*d^6*e^4 + 2430*A^3*b^6*c^6*d*e^9 + 41472*A*B^2*b^2*c^10*d^7*e^3 - 152064*A*B^2*b^3*c^9*d^6*e^4 + 189504*A*B^2*b^4*c^8*d^5*e^5 - 78768*A*B^2*b^5*c^7*d^4*e^6 - 4764*A*B^2*b^6*c^6*d^3*e^7 + 2709*A*B^2*b^7*c^5*d^2*e^8 + 297216*A^2*B*b^2*c^10*d^6*e^4 - 357696*A^2*B*b^3*c^9*d^5*e^5 + 136368*A^2*B*b^4*c^8*d^4*e^6 + 15516*A^2*B*b^5*c^7*d^3*e^7 - 3861*A^2*B*b^6*c^6*d^2*e^8 + 840*A*B^2*b^8*c^4*d*e^9 - 82944*A^2*B*b*c^11*d^7*e^3 - 2898*A^2*B*b^7*c^5*d*e^9)/(64*b^12*d^4*(b*e - c*d)^4))*((9*A^2*b^4*e^4 + 2304*A^2*c^4*d^4 + 576*B^2*b^2*c^2*d^4 + 16*B^2*b^4*d^2*e^2 + 432*A^2*b^2*c^2*d^2*e^2 + 1152*A^2*b*c^3*d^3*e + 72*A^2*b^3*c*d*e^3 + 192*B^2*b^3*c*d^3*e - 2304*A*B*b*c^3*d^4 - 24*A*B*b^4*d*e^3 - 960*A*B*b^2*c^2*d^3*e - 240*A*B*b^3*c*d^2*e^2)/(64*b^10*d^5))^(1/2) - log((((((c^2*e^3*(3*A*b^4*e^4 + 24*A*c^4*d^4 - 12*B*b*c^3*d^4 - 4*B*b^4*d*e^3 + 25*B*b^2*c^2*d^3*e - 12*B*b^3*c*d^2*e^2 + 21*A*b^2*c^2*d^2*e^2 - 48*A*b*c^3*d^3*e + 3*A*b^3*c*d*e^3))/(b^2*d^2*(b*e - c*d)^2) + b^2*c^2*e^2*(b*e - 2*c*d)*(d + e*x)^(1/2)*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))/8 + ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*b^8*d^4*(b*e - c*d)^4))*((3*A*b^2*e^2 + 48*A*c^2*d^2 - 24*B*b*c*d^2 - 4*B*b^2*d*e + 12*A*b*c*d*e)^2/(b^10*d^5))^(1/2))/8 - (567*A^3*b^7*c^5*e^10 + 55296*A^3*c^12*d^7*e^3 + 224640*A^3*b^2*c^10*d^5*e^5 - 77760*A^3*b^3*c^9*d^4*e^6 - 13608*A^3*b^4*c^8*d^3*e^7 + 1404*A^3*b^5*c^7*d^2*e^8 - 6912*B^3*b^3*c^9*d^7*e^3 + 25920*B^3*b^4*c^8*d^6*e^4 - 33408*B^3*b^5*c^7*d^5*e^5 + 15016*B^3*b^6*c^6*d^4*e^6 + 196*B^3*b^7*c^5*d^3*e^7 - 560*B^3*b^8*c^4*d^2*e^8 - 315*A^2*B*b^8*c^4*e^10 - 193536*A^3*b*c^11*d^6*e^4 + 2430*A^3*b^6*c^6*d*e^9 + 41472*A*B^2*b^2*c^10*d^7*e^3 - 152064*A*B^2*b^3*c^9*d^6*e^4 + 189504*A*B^2*b^4*c^8*d^5*e^5 - 78768*A*B^2*b^5*c^7*d^4*e^6 - 4764*A*B^2*b^6*c^6*d^3*e^7 + 2709*A*B^2*b^7*c^5*d^2*e^8 + 297216*A^2*B*b^2*c^10*d^6*e^4 - 357696*A^2*B*b^3*c^9*d^5*e^5 + 136368*A^2*B*b^4*c^8*d^4*e^6 + 15516*A^2*B*b^5*c^7*d^3*e^7 - 3861*A^2*B*b^6*c^6*d^2*e^8 + 840*A*B^2*b^8*c^4*d*e^9 - 82944*A^2*B*b*c^11*d^7*e^3 - 2898*A^2*B*b^7*c^5*d*e^9)/(64*b^12*d^4*(b*e - c*d)^4))*(((9*A^2*b^4*e^4)/64 + 36*A^2*c^4*d^4 + 9*B^2*b^2*c^2*d^4 + (B^2*b^4*d^2*e^2)/4 + (27*A^2*b^2*c^2*d^2*e^2)/4 + 18*A^2*b*c^3*d^3*e + (9*A^2*b^3*c*d*e^3)/8 + 3*B^2*b^3*c*d^3*e - 36*A*B*b*c^3*d^4 - (3*A*B*b^4*d*e^3)/8 - 15*A*B*b^2*c^2*d^3*e - (15*A*B*b^3*c*d^2*e^2)/4)/(b^10*d^5))^(1/2) - atan(((((6144*A*b^11*c^7*d^7*e^4 - 1536*A*b^10*c^8*d^8*e^3 - 9024*A*b^12*c^6*d^6*e^5 + 5568*A*b^13*c^5*d^5*e^6 - 1152*A*b^14*c^4*d^4*e^7 + 192*A*b^15*c^3*d^3*e^8 - 192*A*b^16*c^2*d^2*e^9 + 768*B*b^11*c^7*d^8*e^3 - 3136*B*b^12*c^6*d^7*e^4 + 4736*B*b^13*c^5*d^6*e^5 - 2880*B*b^14*c^4*d^5*e^6 + 256*B*b^15*c^3*d^4*e^7 + 256*B*b^16*c^2*d^3*e^8)/(64*(b^12*c^4*d^8 + b^16*d^4*e^4 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 6*b^14*c^2*d^6*e^2)) - ((d + e*x)^(1/2)*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*(128*b^10*c^7*d^9*e^2 - 576*b^11*c^6*d^8*e^3 + 1024*b^12*c^5*d^7*e^4 - 896*b^13*c^4*d^6*e^5 + 384*b^14*c^3*d^5*e^6 - 64*b^15*c^2*d^4*e^7))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*1i - (((6144*A*b^11*c^7*d^7*e^4 - 1536*A*b^10*c^8*d^8*e^3 - 9024*A*b^12*c^6*d^6*e^5 + 5568*A*b^13*c^5*d^5*e^6 - 1152*A*b^14*c^4*d^4*e^7 + 192*A*b^15*c^3*d^3*e^8 - 192*A*b^16*c^2*d^2*e^9 + 768*B*b^11*c^7*d^8*e^3 - 3136*B*b^12*c^6*d^7*e^4 + 4736*B*b^13*c^5*d^6*e^5 - 2880*B*b^14*c^4*d^5*e^6 + 256*B*b^15*c^3*d^4*e^7 + 256*B*b^16*c^2*d^3*e^8)/(64*(b^12*c^4*d^8 + b^16*d^4*e^4 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 6*b^14*c^2*d^6*e^2)) + ((d + e*x)^(1/2)*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*(128*b^10*c^7*d^9*e^2 - 576*b^11*c^6*d^8*e^3 + 1024*b^12*c^5*d^7*e^4 - 896*b^13*c^4*d^6*e^5 + 384*b^14*c^3*d^5*e^6 - 64*b^15*c^2*d^4*e^7))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*1i)/((567*A^3*b^7*c^5*e^10 + 55296*A^3*c^12*d^7*e^3 + 224640*A^3*b^2*c^10*d^5*e^5 - 77760*A^3*b^3*c^9*d^4*e^6 - 13608*A^3*b^4*c^8*d^3*e^7 + 1404*A^3*b^5*c^7*d^2*e^8 - 6912*B^3*b^3*c^9*d^7*e^3 + 25920*B^3*b^4*c^8*d^6*e^4 - 33408*B^3*b^5*c^7*d^5*e^5 + 15016*B^3*b^6*c^6*d^4*e^6 + 196*B^3*b^7*c^5*d^3*e^7 - 560*B^3*b^8*c^4*d^2*e^8 - 315*A^2*B*b^8*c^4*e^10 - 193536*A^3*b*c^11*d^6*e^4 + 2430*A^3*b^6*c^6*d*e^9 + 41472*A*B^2*b^2*c^10*d^7*e^3 - 152064*A*B^2*b^3*c^9*d^6*e^4 + 189504*A*B^2*b^4*c^8*d^5*e^5 - 78768*A*B^2*b^5*c^7*d^4*e^6 - 4764*A*B^2*b^6*c^6*d^3*e^7 + 2709*A*B^2*b^7*c^5*d^2*e^8 + 297216*A^2*B*b^2*c^10*d^6*e^4 - 357696*A^2*B*b^3*c^9*d^5*e^5 + 136368*A^2*B*b^4*c^8*d^4*e^6 + 15516*A^2*B*b^5*c^7*d^3*e^7 - 3861*A^2*B*b^6*c^6*d^2*e^8 + 840*A*B^2*b^8*c^4*d*e^9 - 82944*A^2*B*b*c^11*d^7*e^3 - 2898*A^2*B*b^7*c^5*d*e^9)/(32*(b^12*c^4*d^8 + b^16*d^4*e^4 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 6*b^14*c^2*d^6*e^2)) + (((6144*A*b^11*c^7*d^7*e^4 - 1536*A*b^10*c^8*d^8*e^3 - 9024*A*b^12*c^6*d^6*e^5 + 5568*A*b^13*c^5*d^5*e^6 - 1152*A*b^14*c^4*d^4*e^7 + 192*A*b^15*c^3*d^3*e^8 - 192*A*b^16*c^2*d^2*e^9 + 768*B*b^11*c^7*d^8*e^3 - 3136*B*b^12*c^6*d^7*e^4 + 4736*B*b^13*c^5*d^6*e^5 - 2880*B*b^14*c^4*d^5*e^6 + 256*B*b^15*c^3*d^4*e^7 + 256*B*b^16*c^2*d^3*e^8)/(64*(b^12*c^4*d^8 + b^16*d^4*e^4 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 6*b^14*c^2*d^6*e^2)) - ((d + e*x)^(1/2)*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*(128*b^10*c^7*d^9*e^2 - 576*b^11*c^6*d^8*e^3 + 1024*b^12*c^5*d^7*e^4 - 896*b^13*c^4*d^6*e^5 + 384*b^14*c^3*d^5*e^6 - 64*b^15*c^2*d^4*e^7))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2) + (((6144*A*b^11*c^7*d^7*e^4 - 1536*A*b^10*c^8*d^8*e^3 - 9024*A*b^12*c^6*d^6*e^5 + 5568*A*b^13*c^5*d^5*e^6 - 1152*A*b^14*c^4*d^4*e^7 + 192*A*b^15*c^3*d^3*e^8 - 192*A*b^16*c^2*d^2*e^9 + 768*B*b^11*c^7*d^8*e^3 - 3136*B*b^12*c^6*d^7*e^4 + 4736*B*b^13*c^5*d^6*e^5 - 2880*B*b^14*c^4*d^5*e^6 + 256*B*b^15*c^3*d^4*e^7 + 256*B*b^16*c^2*d^3*e^8)/(64*(b^12*c^4*d^8 + b^16*d^4*e^4 - 4*b^13*c^3*d^7*e - 4*b^15*c*d^5*e^3 + 6*b^14*c^2*d^6*e^2)) + ((d + e*x)^(1/2)*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*(128*b^10*c^7*d^9*e^2 - 576*b^11*c^6*d^8*e^3 + 1024*b^12*c^5*d^7*e^4 - 896*b^13*c^4*d^6*e^5 + 384*b^14*c^3*d^5*e^6 - 64*b^15*c^2*d^4*e^7))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*b^8*c^3*e^10 + 4608*A^2*c^11*d^8*e^2 + 27360*A^2*b^2*c^9*d^6*e^4 - 17568*A^2*b^3*c^8*d^5*e^5 + 3978*A^2*b^4*c^7*d^4*e^6 - 180*A^2*b^5*c^6*d^3*e^7 + 198*A^2*b^6*c^5*d^2*e^8 + 1152*B^2*b^2*c^9*d^8*e^2 - 4800*B^2*b^3*c^8*d^7*e^3 + 7520*B^2*b^4*c^7*d^6*e^4 - 5136*B^2*b^5*c^6*d^5*e^5 + 1129*B^2*b^6*c^5*d^4*e^6 + 128*B^2*b^7*c^4*d^3*e^7 + 16*B^2*b^8*c^3*d^2*e^8 - 18432*A^2*b*c^10*d^7*e^3 + 36*A^2*b^7*c^4*d*e^9 - 4608*A*B*b*c^10*d^8*e^2 - 24*A*B*b^8*c^3*d*e^9 + 18816*A*B*b^2*c^9*d^7*e^3 - 28704*A*B*b^3*c^8*d^6*e^4 + 19008*A*B*b^4*c^7*d^5*e^5 - 4218*A*B*b^5*c^6*d^4*e^6 - 144*A*B*b^6*c^5*d^3*e^7 - 144*A*B*b^7*c^4*d^2*e^8))/(8*(b^8*c^4*d^8 + b^12*d^4*e^4 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 6*b^10*c^2*d^6*e^2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)))*(-(2304*A^2*c^9*d^4 + 3969*A^2*b^4*c^5*e^4 + 576*B^2*b^2*c^7*d^4 + 1225*B^2*b^6*c^3*e^4 + 17712*A^2*b^2*c^7*d^2*e^2 + 4816*B^2*b^4*c^5*d^2*e^2 - 4410*A*B*b^5*c^4*e^4 - 10368*A^2*b*c^8*d^3*e - 13608*A^2*b^3*c^6*d*e^3 - 2688*B^2*b^3*c^6*d^3*e - 3920*B^2*b^5*c^4*d*e^3 - 2304*A*B*b*c^8*d^4 + 10560*A*B*b^2*c^7*d^3*e + 14616*A*B*b^4*c^5*d*e^3 - 18480*A*B*b^3*c^6*d^2*e^2)/(64*(b^15*e^5 - b^10*c^5*d^5 + 5*b^11*c^4*d^4*e - 10*b^12*c^3*d^3*e^2 + 10*b^13*c^2*d^2*e^3 - 5*b^14*c*d*e^4)))^(1/2)*2i - (((d + e*x)^(3/2)*(4*B*b^5*d*e^5 - 72*A*c^5*d^5*e - 3*A*b^5*e^6 + 180*A*b*c^4*d^4*e^2 - 24*B*b^4*c*d^2*e^4 - 136*A*b^2*c^3*d^3*e^3 + 24*A*b^3*c^2*d^2*e^4 - 93*B*b^2*c^3*d^4*e^2 + 74*B*b^3*c^2*d^3*e^3 + 10*A*b^4*c*d*e^5 + 36*B*b*c^4*d^5*e))/(4*b^4*(c*d^2 - b*d*e)^2) - ((d + e*x)^(5/2)*(6*A*b^4*c*e^5 - 72*A*c^5*d^4*e + 144*A*b*c^4*d^3*e^2 + A*b^3*c^2*d*e^4 - 73*A*b^2*c^3*d^2*e^3 - 75*B*b^2*c^3*d^3*e^2 + 41*B*b^3*c^2*d^2*e^3 + 36*B*b*c^4*d^4*e - 8*B*b^4*c*d*e^4))/(4*b^4*(c*d^2 - b*d*e)^2) + ((d + e*x)^(1/2)*(24*A*c^4*d^4*e - 5*A*b^4*e^5 + 4*B*b^4*d*e^4 - 48*A*b*c^3*d^3*e^2 - 12*B*b^3*c*d^2*e^3 + 21*A*b^2*c^2*d^2*e^3 + 25*B*b^2*c^2*d^3*e^2 + 3*A*b^3*c*d*e^4 - 12*B*b*c^3*d^4*e))/(4*b^4*(c*d^2 - b*d*e)) - (c*(d + e*x)^(7/2)*(3*A*b^3*c*e^4 + 24*A*c^4*d^3*e - 36*A*b*c^3*d^2*e^2 + 6*A*b^2*c^2*d*e^3 + 19*B*b^2*c^2*d^2*e^2 - 12*B*b*c^3*d^3*e - 4*B*b^3*c*d*e^3))/(4*b^4*(c*d^2 - b*d*e)^2))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e)","B"
1253,1,23541,506,9.527174,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^3*(d + e*x)^(3/2)),x)","-\frac{\frac{2\,\left(A\,e^5-B\,d\,e^4\right)}{c\,d^2-b\,d\,e}+\frac{{\left(d+e\,x\right)}^2\,\left(-12\,B\,b^6\,d\,e^6+15\,A\,b^6\,e^7+76\,B\,b^5\,c\,d^2\,e^5-89\,A\,b^5\,c\,d\,e^6-120\,B\,b^4\,c^2\,d^3\,e^4+106\,A\,b^4\,c^2\,d^2\,e^5+122\,B\,b^3\,c^3\,d^4\,e^3+38\,A\,b^3\,c^3\,d^3\,e^4-117\,B\,b^2\,c^4\,d^5\,e^2-199\,A\,b^2\,c^4\,d^4\,e^3+36\,B\,b\,c^5\,d^6\,e+216\,A\,b\,c^5\,d^5\,e^2-72\,A\,c^6\,d^6\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^3}+\frac{{\left(d+e\,x\right)}^3\,\left(-24\,B\,b^5\,c\,d\,e^5+30\,A\,b^5\,c\,e^6+68\,B\,b^4\,c^2\,d^2\,e^4-73\,A\,b^4\,c^2\,d\,e^5-77\,B\,b^3\,c^3\,d^3\,e^3+3\,A\,b^3\,c^3\,d^2\,e^4+99\,B\,b^2\,c^4\,d^4\,e^2+118\,A\,b^2\,c^4\,d^3\,e^3-36\,B\,b\,c^5\,d^5\,e-180\,A\,b\,c^5\,d^4\,e^2+72\,A\,c^6\,d^5\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^3}+\frac{\left(d+e\,x\right)\,\left(-20\,B\,b^5\,d\,e^5+25\,A\,b^5\,e^6+48\,B\,b^4\,c\,d^2\,e^4-56\,A\,b^4\,c\,d\,e^5-24\,B\,b^3\,c^2\,d^3\,e^3+6\,A\,b^3\,c^2\,d^2\,e^4+33\,B\,b^2\,c^3\,d^4\,e^2+36\,A\,b^2\,c^3\,d^3\,e^3-12\,B\,b\,c^4\,d^5\,e-60\,A\,b\,c^4\,d^4\,e^2+24\,A\,c^5\,d^5\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^2}-\frac{3\,{\left(d+e\,x\right)}^4\,\left(4\,B\,b^4\,c^2\,d\,e^4-5\,A\,b^4\,c^2\,e^5-4\,B\,b^3\,c^3\,d^2\,e^3+3\,A\,b^3\,c^3\,d\,e^4+9\,B\,b^2\,c^4\,d^3\,e^2+5\,A\,b^2\,c^4\,d^2\,e^3-4\,B\,b\,c^5\,d^4\,e-16\,A\,b\,c^5\,d^3\,e^2+8\,A\,c^6\,d^4\,e\right)}{4\,b^4\,{\left(c\,d^2-b\,d\,e\right)}^3}}{c^2\,{\left(d+e\,x\right)}^{9/2}-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{7/2}-{\left(d+e\,x\right)}^{3/2}\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e+4\,c^2\,d^3\right)+{\left(d+e\,x\right)}^{5/2}\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2\right)+\sqrt{d+e\,x}\,\left(b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4\right)}-\mathrm{atan}\left(-\frac{\left(\sqrt{d+e\,x}\,\left(-28800\,A^2\,b^{31}\,c^3\,d^9\,e^{21}+293760\,A^2\,b^{30}\,c^4\,d^{10}\,e^{20}-1300608\,A^2\,b^{29}\,c^5\,d^{11}\,e^{19}+3399552\,A^2\,b^{28}\,c^6\,d^{12}\,e^{18}-6844032\,A^2\,b^{27}\,c^7\,d^{13}\,e^{17}+15108480\,A^2\,b^{26}\,c^8\,d^{14}\,e^{16}-37986048\,A^2\,b^{25}\,c^9\,d^{15}\,e^{15}+90100224\,A^2\,b^{24}\,c^{10}\,d^{16}\,e^{14}-201386880\,A^2\,b^{23}\,c^{11}\,d^{17}\,e^{13}+438185088\,A^2\,b^{22}\,c^{12}\,d^{18}\,e^{12}-855642240\,A^2\,b^{21}\,c^{13}\,d^{19}\,e^{11}+1358257536\,A^2\,b^{20}\,c^{14}\,d^{20}\,e^{10}-1667850624\,A^2\,b^{19}\,c^{15}\,d^{21}\,e^9+1555380864\,A^2\,b^{18}\,c^{16}\,d^{22}\,e^8-1089838080\,A^2\,b^{17}\,c^{17}\,d^{23}\,e^7+564860160\,A^2\,b^{16}\,c^{18}\,d^{24}\,e^6-210382848\,A^2\,b^{15}\,c^{19}\,d^{25}\,e^5+53342208\,A^2\,b^{14}\,c^{20}\,d^{26}\,e^4-8257536\,A^2\,b^{13}\,c^{21}\,d^{27}\,e^3+589824\,A^2\,b^{12}\,c^{22}\,d^{28}\,e^2+46080\,A\,B\,b^{31}\,c^3\,d^{10}\,e^{20}-488448\,A\,B\,b^{30}\,c^4\,d^{11}\,e^{19}+2165760\,A\,B\,b^{29}\,c^5\,d^{12}\,e^{18}-4912128\,A\,B\,b^{28}\,c^6\,d^{13}\,e^{17}+4930560\,A\,B\,b^{27}\,c^7\,d^{14}\,e^{16}+3209472\,A\,B\,b^{26}\,c^8\,d^{15}\,e^{15}-27548928\,A\,B\,b^{25}\,c^9\,d^{16}\,e^{14}+110656512\,A\,B\,b^{24}\,c^{10}\,d^{17}\,e^{13}-361248768\,A\,B\,b^{23}\,c^{11}\,d^{18}\,e^{12}+864115200\,A\,B\,b^{22}\,c^{12}\,d^{19}\,e^{11}-1485494784\,A\,B\,b^{21}\,c^{13}\,d^{20}\,e^{10}+1864765440\,A\,B\,b^{20}\,c^{14}\,d^{21}\,e^9-1733566464\,A\,B\,b^{19}\,c^{15}\,d^{22}\,e^8+1197861120\,A\,B\,b^{18}\,c^{16}\,d^{23}\,e^7-609557760\,A\,B\,b^{17}\,c^{17}\,d^{24}\,e^6+222584832\,A\,B\,b^{16}\,c^{18}\,d^{25}\,e^5-55332864\,A\,B\,b^{15}\,c^{19}\,d^{26}\,e^4+8404992\,A\,B\,b^{14}\,c^{20}\,d^{27}\,e^3-589824\,A\,B\,b^{13}\,c^{21}\,d^{28}\,e^2-18432\,B^2\,b^{31}\,c^3\,d^{11}\,e^{19}+202752\,B^2\,b^{30}\,c^4\,d^{12}\,e^{18}-903168\,B^2\,b^{29}\,c^5\,d^{13}\,e^{17}+1751040\,B^2\,b^{28}\,c^6\,d^{14}\,e^{16}+137088\,B^2\,b^{27}\,c^7\,d^{15}\,e^{15}-6007680\,B^2\,b^{26}\,c^8\,d^{16}\,e^{14}-1276416\,B^2\,b^{25}\,c^9\,d^{17}\,e^{13}+65382912\,B^2\,b^{24}\,c^{10}\,d^{18}\,e^{12}-216610560\,B^2\,b^{23}\,c^{11}\,d^{19}\,e^{11}+407418624\,B^2\,b^{22}\,c^{12}\,d^{20}\,e^{10}-521961984\,B^2\,b^{21}\,c^{13}\,d^{21}\,e^9+482904576\,B^2\,b^{20}\,c^{14}\,d^{22}\,e^8-328809600\,B^2\,b^{19}\,c^{15}\,d^{23}\,e^7+164257920\,B^2\,b^{18}\,c^{16}\,d^{24}\,e^6-58816512\,B^2\,b^{17}\,c^{17}\,d^{25}\,e^5+14340096\,B^2\,b^{16}\,c^{18}\,d^{26}\,e^4-2138112\,B^2\,b^{15}\,c^{19}\,d^{27}\,e^3+147456\,B^2\,b^{14}\,c^{20}\,d^{28}\,e^2\right)-\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(8192\,b^{38}\,c^2\,d^{15}\,e^{18}-139264\,b^{37}\,c^3\,d^{16}\,e^{17}+1105920\,b^{36}\,c^4\,d^{17}\,e^{16}-5447680\,b^{35}\,c^5\,d^{18}\,e^{15}+18636800\,b^{34}\,c^6\,d^{19}\,e^{14}-46964736\,b^{33}\,c^7\,d^{20}\,e^{13}+90202112\,b^{32}\,c^8\,d^{21}\,e^{12}-134717440\,b^{31}\,c^9\,d^{22}\,e^{11}+158146560\,b^{30}\,c^{10}\,d^{23}\,e^{10}-146432000\,b^{29}\,c^{11}\,d^{24}\,e^9+106602496\,b^{28}\,c^{12}\,d^{25}\,e^8-60383232\,b^{27}\,c^{13}\,d^{26}\,e^7+26091520\,b^{26}\,c^{14}\,d^{27}\,e^6-8314880\,b^{25}\,c^{15}\,d^{28}\,e^5+1843200\,b^{24}\,c^{16}\,d^{29}\,e^4-253952\,b^{23}\,c^{17}\,d^{30}\,e^3+16384\,b^{22}\,c^{18}\,d^{31}\,e^2\right)-24576\,A\,b^{18}\,c^{19}\,d^{29}\,e^3+356352\,A\,b^{19}\,c^{18}\,d^{28}\,e^4-2396160\,A\,b^{20}\,c^{17}\,d^{27}\,e^5+9897984\,A\,b^{21}\,c^{16}\,d^{26}\,e^6-28065792\,A\,b^{22}\,c^{15}\,d^{25}\,e^7+57891840\,A\,b^{23}\,c^{14}\,d^{24}\,e^8-90071040\,A\,b^{24}\,c^{13}\,d^{23}\,e^9+108810240\,A\,b^{25}\,c^{12}\,d^{22}\,e^{10}-105566208\,A\,b^{26}\,c^{11}\,d^{21}\,e^{11}+86406144\,A\,b^{27}\,c^{10}\,d^{20}\,e^{12}-63393792\,A\,b^{28}\,c^9\,d^{19}\,e^{13}+43075584\,A\,b^{29}\,c^8\,d^{18}\,e^{14}-26173440\,A\,b^{30}\,c^7\,d^{17}\,e^{15}+13108224\,A\,b^{31}\,c^6\,d^{16}\,e^{16}-4964352\,A\,b^{32}\,c^5\,d^{15}\,e^{17}+1302528\,A\,b^{33}\,c^4\,d^{14}\,e^{18}-208896\,A\,b^{34}\,c^3\,d^{13}\,e^{19}+15360\,A\,b^{35}\,c^2\,d^{12}\,e^{20}+12288\,B\,b^{19}\,c^{18}\,d^{29}\,e^3-181248\,B\,b^{20}\,c^{17}\,d^{28}\,e^4+1241088\,B\,b^{21}\,c^{16}\,d^{27}\,e^5-5203968\,B\,b^{22}\,c^{15}\,d^{26}\,e^6+14831616\,B\,b^{23}\,c^{14}\,d^{25}\,e^7-30096384\,B\,b^{24}\,c^{13}\,d^{24}\,e^8+44064768\,B\,b^{25}\,c^{12}\,d^{23}\,e^9-45551616\,B\,b^{26}\,c^{11}\,d^{22}\,e^{10}+30007296\,B\,b^{27}\,c^{10}\,d^{21}\,e^{11}-6454272\,B\,b^{28}\,c^9\,d^{20}\,e^{12}-10407936\,B\,b^{29}\,c^8\,d^{19}\,e^{13}+14112768\,B\,b^{30}\,c^7\,d^{18}\,e^{14}-9449472\,B\,b^{31}\,c^6\,d^{17}\,e^{15}+3996672\,B\,b^{32}\,c^5\,d^{16}\,e^{16}-1081344\,B\,b^{33}\,c^4\,d^{15}\,e^{17}+172032\,B\,b^{34}\,c^3\,d^{14}\,e^{18}-12288\,B\,b^{35}\,c^2\,d^{13}\,e^{19}\right)\right)\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(-28800\,A^2\,b^{31}\,c^3\,d^9\,e^{21}+293760\,A^2\,b^{30}\,c^4\,d^{10}\,e^{20}-1300608\,A^2\,b^{29}\,c^5\,d^{11}\,e^{19}+3399552\,A^2\,b^{28}\,c^6\,d^{12}\,e^{18}-6844032\,A^2\,b^{27}\,c^7\,d^{13}\,e^{17}+15108480\,A^2\,b^{26}\,c^8\,d^{14}\,e^{16}-37986048\,A^2\,b^{25}\,c^9\,d^{15}\,e^{15}+90100224\,A^2\,b^{24}\,c^{10}\,d^{16}\,e^{14}-201386880\,A^2\,b^{23}\,c^{11}\,d^{17}\,e^{13}+438185088\,A^2\,b^{22}\,c^{12}\,d^{18}\,e^{12}-855642240\,A^2\,b^{21}\,c^{13}\,d^{19}\,e^{11}+1358257536\,A^2\,b^{20}\,c^{14}\,d^{20}\,e^{10}-1667850624\,A^2\,b^{19}\,c^{15}\,d^{21}\,e^9+1555380864\,A^2\,b^{18}\,c^{16}\,d^{22}\,e^8-1089838080\,A^2\,b^{17}\,c^{17}\,d^{23}\,e^7+564860160\,A^2\,b^{16}\,c^{18}\,d^{24}\,e^6-210382848\,A^2\,b^{15}\,c^{19}\,d^{25}\,e^5+53342208\,A^2\,b^{14}\,c^{20}\,d^{26}\,e^4-8257536\,A^2\,b^{13}\,c^{21}\,d^{27}\,e^3+589824\,A^2\,b^{12}\,c^{22}\,d^{28}\,e^2+46080\,A\,B\,b^{31}\,c^3\,d^{10}\,e^{20}-488448\,A\,B\,b^{30}\,c^4\,d^{11}\,e^{19}+2165760\,A\,B\,b^{29}\,c^5\,d^{12}\,e^{18}-4912128\,A\,B\,b^{28}\,c^6\,d^{13}\,e^{17}+4930560\,A\,B\,b^{27}\,c^7\,d^{14}\,e^{16}+3209472\,A\,B\,b^{26}\,c^8\,d^{15}\,e^{15}-27548928\,A\,B\,b^{25}\,c^9\,d^{16}\,e^{14}+110656512\,A\,B\,b^{24}\,c^{10}\,d^{17}\,e^{13}-361248768\,A\,B\,b^{23}\,c^{11}\,d^{18}\,e^{12}+864115200\,A\,B\,b^{22}\,c^{12}\,d^{19}\,e^{11}-1485494784\,A\,B\,b^{21}\,c^{13}\,d^{20}\,e^{10}+1864765440\,A\,B\,b^{20}\,c^{14}\,d^{21}\,e^9-1733566464\,A\,B\,b^{19}\,c^{15}\,d^{22}\,e^8+1197861120\,A\,B\,b^{18}\,c^{16}\,d^{23}\,e^7-609557760\,A\,B\,b^{17}\,c^{17}\,d^{24}\,e^6+222584832\,A\,B\,b^{16}\,c^{18}\,d^{25}\,e^5-55332864\,A\,B\,b^{15}\,c^{19}\,d^{26}\,e^4+8404992\,A\,B\,b^{14}\,c^{20}\,d^{27}\,e^3-589824\,A\,B\,b^{13}\,c^{21}\,d^{28}\,e^2-18432\,B^2\,b^{31}\,c^3\,d^{11}\,e^{19}+202752\,B^2\,b^{30}\,c^4\,d^{12}\,e^{18}-903168\,B^2\,b^{29}\,c^5\,d^{13}\,e^{17}+1751040\,B^2\,b^{28}\,c^6\,d^{14}\,e^{16}+137088\,B^2\,b^{27}\,c^7\,d^{15}\,e^{15}-6007680\,B^2\,b^{26}\,c^8\,d^{16}\,e^{14}-1276416\,B^2\,b^{25}\,c^9\,d^{17}\,e^{13}+65382912\,B^2\,b^{24}\,c^{10}\,d^{18}\,e^{12}-216610560\,B^2\,b^{23}\,c^{11}\,d^{19}\,e^{11}+407418624\,B^2\,b^{22}\,c^{12}\,d^{20}\,e^{10}-521961984\,B^2\,b^{21}\,c^{13}\,d^{21}\,e^9+482904576\,B^2\,b^{20}\,c^{14}\,d^{22}\,e^8-328809600\,B^2\,b^{19}\,c^{15}\,d^{23}\,e^7+164257920\,B^2\,b^{18}\,c^{16}\,d^{24}\,e^6-58816512\,B^2\,b^{17}\,c^{17}\,d^{25}\,e^5+14340096\,B^2\,b^{16}\,c^{18}\,d^{26}\,e^4-2138112\,B^2\,b^{15}\,c^{19}\,d^{27}\,e^3+147456\,B^2\,b^{14}\,c^{20}\,d^{28}\,e^2\right)-\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(8192\,b^{38}\,c^2\,d^{15}\,e^{18}-139264\,b^{37}\,c^3\,d^{16}\,e^{17}+1105920\,b^{36}\,c^4\,d^{17}\,e^{16}-5447680\,b^{35}\,c^5\,d^{18}\,e^{15}+18636800\,b^{34}\,c^6\,d^{19}\,e^{14}-46964736\,b^{33}\,c^7\,d^{20}\,e^{13}+90202112\,b^{32}\,c^8\,d^{21}\,e^{12}-134717440\,b^{31}\,c^9\,d^{22}\,e^{11}+158146560\,b^{30}\,c^{10}\,d^{23}\,e^{10}-146432000\,b^{29}\,c^{11}\,d^{24}\,e^9+106602496\,b^{28}\,c^{12}\,d^{25}\,e^8-60383232\,b^{27}\,c^{13}\,d^{26}\,e^7+26091520\,b^{26}\,c^{14}\,d^{27}\,e^6-8314880\,b^{25}\,c^{15}\,d^{28}\,e^5+1843200\,b^{24}\,c^{16}\,d^{29}\,e^4-253952\,b^{23}\,c^{17}\,d^{30}\,e^3+16384\,b^{22}\,c^{18}\,d^{31}\,e^2\right)+24576\,A\,b^{18}\,c^{19}\,d^{29}\,e^3-356352\,A\,b^{19}\,c^{18}\,d^{28}\,e^4+2396160\,A\,b^{20}\,c^{17}\,d^{27}\,e^5-9897984\,A\,b^{21}\,c^{16}\,d^{26}\,e^6+28065792\,A\,b^{22}\,c^{15}\,d^{25}\,e^7-57891840\,A\,b^{23}\,c^{14}\,d^{24}\,e^8+90071040\,A\,b^{24}\,c^{13}\,d^{23}\,e^9-108810240\,A\,b^{25}\,c^{12}\,d^{22}\,e^{10}+105566208\,A\,b^{26}\,c^{11}\,d^{21}\,e^{11}-86406144\,A\,b^{27}\,c^{10}\,d^{20}\,e^{12}+63393792\,A\,b^{28}\,c^9\,d^{19}\,e^{13}-43075584\,A\,b^{29}\,c^8\,d^{18}\,e^{14}+26173440\,A\,b^{30}\,c^7\,d^{17}\,e^{15}-13108224\,A\,b^{31}\,c^6\,d^{16}\,e^{16}+4964352\,A\,b^{32}\,c^5\,d^{15}\,e^{17}-1302528\,A\,b^{33}\,c^4\,d^{14}\,e^{18}+208896\,A\,b^{34}\,c^3\,d^{13}\,e^{19}-15360\,A\,b^{35}\,c^2\,d^{12}\,e^{20}-12288\,B\,b^{19}\,c^{18}\,d^{29}\,e^3+181248\,B\,b^{20}\,c^{17}\,d^{28}\,e^4-1241088\,B\,b^{21}\,c^{16}\,d^{27}\,e^5+5203968\,B\,b^{22}\,c^{15}\,d^{26}\,e^6-14831616\,B\,b^{23}\,c^{14}\,d^{25}\,e^7+30096384\,B\,b^{24}\,c^{13}\,d^{24}\,e^8-44064768\,B\,b^{25}\,c^{12}\,d^{23}\,e^9+45551616\,B\,b^{26}\,c^{11}\,d^{22}\,e^{10}-30007296\,B\,b^{27}\,c^{10}\,d^{21}\,e^{11}+6454272\,B\,b^{28}\,c^9\,d^{20}\,e^{12}+10407936\,B\,b^{29}\,c^8\,d^{19}\,e^{13}-14112768\,B\,b^{30}\,c^7\,d^{18}\,e^{14}+9449472\,B\,b^{31}\,c^6\,d^{17}\,e^{15}-3996672\,B\,b^{32}\,c^5\,d^{16}\,e^{16}+1081344\,B\,b^{33}\,c^4\,d^{15}\,e^{17}-172032\,B\,b^{34}\,c^3\,d^{14}\,e^{18}+12288\,B\,b^{35}\,c^2\,d^{13}\,e^{19}\right)\right)\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,1{}\mathrm{i}}{\left(\sqrt{d+e\,x}\,\left(-28800\,A^2\,b^{31}\,c^3\,d^9\,e^{21}+293760\,A^2\,b^{30}\,c^4\,d^{10}\,e^{20}-1300608\,A^2\,b^{29}\,c^5\,d^{11}\,e^{19}+3399552\,A^2\,b^{28}\,c^6\,d^{12}\,e^{18}-6844032\,A^2\,b^{27}\,c^7\,d^{13}\,e^{17}+15108480\,A^2\,b^{26}\,c^8\,d^{14}\,e^{16}-37986048\,A^2\,b^{25}\,c^9\,d^{15}\,e^{15}+90100224\,A^2\,b^{24}\,c^{10}\,d^{16}\,e^{14}-201386880\,A^2\,b^{23}\,c^{11}\,d^{17}\,e^{13}+438185088\,A^2\,b^{22}\,c^{12}\,d^{18}\,e^{12}-855642240\,A^2\,b^{21}\,c^{13}\,d^{19}\,e^{11}+1358257536\,A^2\,b^{20}\,c^{14}\,d^{20}\,e^{10}-1667850624\,A^2\,b^{19}\,c^{15}\,d^{21}\,e^9+1555380864\,A^2\,b^{18}\,c^{16}\,d^{22}\,e^8-1089838080\,A^2\,b^{17}\,c^{17}\,d^{23}\,e^7+564860160\,A^2\,b^{16}\,c^{18}\,d^{24}\,e^6-210382848\,A^2\,b^{15}\,c^{19}\,d^{25}\,e^5+53342208\,A^2\,b^{14}\,c^{20}\,d^{26}\,e^4-8257536\,A^2\,b^{13}\,c^{21}\,d^{27}\,e^3+589824\,A^2\,b^{12}\,c^{22}\,d^{28}\,e^2+46080\,A\,B\,b^{31}\,c^3\,d^{10}\,e^{20}-488448\,A\,B\,b^{30}\,c^4\,d^{11}\,e^{19}+2165760\,A\,B\,b^{29}\,c^5\,d^{12}\,e^{18}-4912128\,A\,B\,b^{28}\,c^6\,d^{13}\,e^{17}+4930560\,A\,B\,b^{27}\,c^7\,d^{14}\,e^{16}+3209472\,A\,B\,b^{26}\,c^8\,d^{15}\,e^{15}-27548928\,A\,B\,b^{25}\,c^9\,d^{16}\,e^{14}+110656512\,A\,B\,b^{24}\,c^{10}\,d^{17}\,e^{13}-361248768\,A\,B\,b^{23}\,c^{11}\,d^{18}\,e^{12}+864115200\,A\,B\,b^{22}\,c^{12}\,d^{19}\,e^{11}-1485494784\,A\,B\,b^{21}\,c^{13}\,d^{20}\,e^{10}+1864765440\,A\,B\,b^{20}\,c^{14}\,d^{21}\,e^9-1733566464\,A\,B\,b^{19}\,c^{15}\,d^{22}\,e^8+1197861120\,A\,B\,b^{18}\,c^{16}\,d^{23}\,e^7-609557760\,A\,B\,b^{17}\,c^{17}\,d^{24}\,e^6+222584832\,A\,B\,b^{16}\,c^{18}\,d^{25}\,e^5-55332864\,A\,B\,b^{15}\,c^{19}\,d^{26}\,e^4+8404992\,A\,B\,b^{14}\,c^{20}\,d^{27}\,e^3-589824\,A\,B\,b^{13}\,c^{21}\,d^{28}\,e^2-18432\,B^2\,b^{31}\,c^3\,d^{11}\,e^{19}+202752\,B^2\,b^{30}\,c^4\,d^{12}\,e^{18}-903168\,B^2\,b^{29}\,c^5\,d^{13}\,e^{17}+1751040\,B^2\,b^{28}\,c^6\,d^{14}\,e^{16}+137088\,B^2\,b^{27}\,c^7\,d^{15}\,e^{15}-6007680\,B^2\,b^{26}\,c^8\,d^{16}\,e^{14}-1276416\,B^2\,b^{25}\,c^9\,d^{17}\,e^{13}+65382912\,B^2\,b^{24}\,c^{10}\,d^{18}\,e^{12}-216610560\,B^2\,b^{23}\,c^{11}\,d^{19}\,e^{11}+407418624\,B^2\,b^{22}\,c^{12}\,d^{20}\,e^{10}-521961984\,B^2\,b^{21}\,c^{13}\,d^{21}\,e^9+482904576\,B^2\,b^{20}\,c^{14}\,d^{22}\,e^8-328809600\,B^2\,b^{19}\,c^{15}\,d^{23}\,e^7+164257920\,B^2\,b^{18}\,c^{16}\,d^{24}\,e^6-58816512\,B^2\,b^{17}\,c^{17}\,d^{25}\,e^5+14340096\,B^2\,b^{16}\,c^{18}\,d^{26}\,e^4-2138112\,B^2\,b^{15}\,c^{19}\,d^{27}\,e^3+147456\,B^2\,b^{14}\,c^{20}\,d^{28}\,e^2\right)-\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}\,\left(8192\,b^{38}\,c^2\,d^{15}\,e^{18}-139264\,b^{37}\,c^3\,d^{16}\,e^{17}+1105920\,b^{36}\,c^4\,d^{17}\,e^{16}-5447680\,b^{35}\,c^5\,d^{18}\,e^{15}+18636800\,b^{34}\,c^6\,d^{19}\,e^{14}-46964736\,b^{33}\,c^7\,d^{20}\,e^{13}+90202112\,b^{32}\,c^8\,d^{21}\,e^{12}-134717440\,b^{31}\,c^9\,d^{22}\,e^{11}+158146560\,b^{30}\,c^{10}\,d^{23}\,e^{10}-146432000\,b^{29}\,c^{11}\,d^{24}\,e^9+106602496\,b^{28}\,c^{12}\,d^{25}\,e^8-60383232\,b^{27}\,c^{13}\,d^{26}\,e^7+26091520\,b^{26}\,c^{14}\,d^{27}\,e^6-8314880\,b^{25}\,c^{15}\,d^{28}\,e^5+1843200\,b^{24}\,c^{16}\,d^{29}\,e^4-253952\,b^{23}\,c^{17}\,d^{30}\,e^3+16384\,b^{22}\,c^{18}\,d^{31}\,e^2\right)-24576\,A\,b^{18}\,c^{19}\,d^{29}\,e^3+356352\,A\,b^{19}\,c^{18}\,d^{28}\,e^4-2396160\,A\,b^{20}\,c^{17}\,d^{27}\,e^5+9897984\,A\,b^{21}\,c^{16}\,d^{26}\,e^6-28065792\,A\,b^{22}\,c^{15}\,d^{25}\,e^7+57891840\,A\,b^{23}\,c^{14}\,d^{24}\,e^8-90071040\,A\,b^{24}\,c^{13}\,d^{23}\,e^9+108810240\,A\,b^{25}\,c^{12}\,d^{22}\,e^{10}-105566208\,A\,b^{26}\,c^{11}\,d^{21}\,e^{11}+86406144\,A\,b^{27}\,c^{10}\,d^{20}\,e^{12}-63393792\,A\,b^{28}\,c^9\,d^{19}\,e^{13}+43075584\,A\,b^{29}\,c^8\,d^{18}\,e^{14}-26173440\,A\,b^{30}\,c^7\,d^{17}\,e^{15}+13108224\,A\,b^{31}\,c^6\,d^{16}\,e^{16}-4964352\,A\,b^{32}\,c^5\,d^{15}\,e^{17}+1302528\,A\,b^{33}\,c^4\,d^{14}\,e^{18}-208896\,A\,b^{34}\,c^3\,d^{13}\,e^{19}+15360\,A\,b^{35}\,c^2\,d^{12}\,e^{20}+12288\,B\,b^{19}\,c^{18}\,d^{29}\,e^3-181248\,B\,b^{20}\,c^{17}\,d^{28}\,e^4+1241088\,B\,b^{21}\,c^{16}\,d^{27}\,e^5-5203968\,B\,b^{22}\,c^{15}\,d^{26}\,e^6+14831616\,B\,b^{23}\,c^{14}\,d^{25}\,e^7-30096384\,B\,b^{24}\,c^{13}\,d^{24}\,e^8+44064768\,B\,b^{25}\,c^{12}\,d^{23}\,e^9-45551616\,B\,b^{26}\,c^{11}\,d^{22}\,e^{10}+30007296\,B\,b^{27}\,c^{10}\,d^{21}\,e^{11}-6454272\,B\,b^{28}\,c^9\,d^{20}\,e^{12}-10407936\,B\,b^{29}\,c^8\,d^{19}\,e^{13}+14112768\,B\,b^{30}\,c^7\,d^{18}\,e^{14}-9449472\,B\,b^{31}\,c^6\,d^{17}\,e^{15}+3996672\,B\,b^{32}\,c^5\,d^{16}\,e^{16}-1081344\,B\,b^{33}\,c^4\,d^{15}\,e^{17}+172032\,B\,b^{34}\,c^3\,d^{14}\,e^{18}-12288\,B\,b^{35}\,c^2\,d^{13}\,e^{19}\right)\right)\,\sqrt{\frac{9\,\left(25\,A^2\,b^4\,e^4+120\,A^2\,b^3\,c\,d\,e^3+304\,A^2\,b^2\,c^2\,d^2\,e^2+384\,A^2\,b\,c^3\,d^3\,e+256\,A^2\,c^4\,d^4-40\,A\,B\,b^4\,d\,e^3-176\,A\,B\,b^3\,c\,d^2\,e^2-320\,A\,B\,b^2\,c^2\,d^3\,e-256\,A\,B\,b\,c^3\,d^4+16\,B^2\,b^4\,d^2\,e^2+64\,B^2\,b^3\,c\,d^3\,e+64\,B^2\,b^2\,c^2\,d^4\right)}{64\,b^{10}\,d^7}}-\left(\sqrt{d+e\,x}\,\left(-28800\,A^2\,b^{31}\,c^3\,d^9\,e^{21}+293760\,A^2\,b^{30}\,c^4\,d^{10}\,e^{20}-1300608\,A^2\,b^{29}\,c^5\,d^{11}\,e^{19}+3399552\,A^2\,b^{28}\,c^6\,d^{12}\,e^{18}-6844032\,A^2\,b^{27}\,c^7\,d^{13}\,e^{17}+15108480\,A^2\,b^{26}\,c^8\,d^{14}\,e^{16}-37986048\,A^2\,b^{25}\,c^9\,d^{15}\,e^{15}+90100224\,A^2\,b^{24}\,c^{10}\,d^{16}\,e^{14}-201386880\,A^2\,b^{23}\,c^{11}\,d^{17}\,e^{13}+438185088\,A^2\,b^{22}\,c^{12}\,d^{18}\,e^{12}-855642240\,A^2\,b^{21}\,c^{13}\,d^{19}\,e^{11}+1358257536\,A^2\,b^{20}\,c^{14}\,d^{20}\,e^{10}-1667850624\,A^2\,b^{19}\,c^{15}\,d^{21}\,e^9+1555380864\,A^2\,b^{18}\,c^{16}\,d^{22}\,e^8-1089838080\,A^2\,b^{17}\,c^{17}\,d^{23}\,e^7+564860160\,A^2\,b^{16}\,c^{18}\,d^{24}\,e^6-210382848\,A^2\,b^{15}\,c^{19}\,d^{25}\,e^5+53342208\,A^2\,b^{14}\,c^{20}\,d^{26}\,e^4-8257536\,A^2\,b^{13}\,c^{21}\,d^{27}\,e^3+589824\,A^2\,b^{12}\,c^{22}\,d^{28}\,e^2+46080\,A\,B\,b^{31}\,c^3\,d^{10}\,e^{20}-488448\,A\,B\,b^{30}\,c^4\,d^{11}\,e^{19}+2165760\,A\,B\,b^{29}\,c^5\,d^{12}\,e^{18}-4912128\,A\,B\,b^{28}\,c^6\,d^{13}\,e^{17}+4930560\,A\,B\,b^{27}\,c^7\,d^{14}\,e^{16}+3209472\,A\,B\,b^{26}\,c^8\,d^{15}\,e^{15}-27548928\,A\,B\,b^{25}\,c^9\,d^{16}\,e^{14}+110656512\,A\,B\,b^{24}\,c^{10}\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B^2\,b^{16}\,c^{18}\,d^{26}\,e^4-2138112\,B^2\,b^{15}\,c^{19}\,d^{27}\,e^3+147456\,B^2\,b^{14}\,c^{20}\,d^{28}\,e^2\right)-\sqrt{-\frac{9\,\left(1089\,A^2\,b^4\,c^7\,e^4-2904\,A^2\,b^3\,c^8\,d\,e^3+2992\,A^2\,b^2\,c^9\,d^2\,e^2-1408\,A^2\,b\,c^{10}\,d^3\,e+256\,A^2\,c^{11}\,d^4-1386\,A\,B\,b^5\,c^6\,e^4+3432\,A\,B\,b^4\,c^7\,d\,e^3-3312\,A\,B\,b^3\,c^8\,d^2\,e^2+1472\,A\,B\,b^2\,c^9\,d^3\,e-256\,A\,B\,b\,c^{10}\,d^4+441\,B^2\,b^6\,c^5\,e^4-1008\,B^2\,b^5\,c^6\,d\,e^3+912\,B^2\,b^4\,c^7\,d^2\,e^2-384\,B^2\,b^3\,c^8\,d^3\,e+64\,B^2\,b^2\,c^9\,d^4\right)}{64\,\left(b^{17}\,e^7-7\,b^{16}\,c\,d\,e^6+21\,b^{15}\,c^2\,d^2\,e^5-35\,b^{14}\,c^3\,d^3\,e^4+35\,b^{13}\,c^4\,d^4\,e^3-21\,b^{12}\,c^5\,d^5\,e^2+7\,b^{11}\,c^6\,d^6\,e-b^{10}\,c^7\,d^7\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(1089\,A^2\,b^4\,c^7\,e^4-2904\,A^2\,b^3\,c^8\,d\,e^3+2992\,A^2\,b^2\,c^9\,d^2\,e^2-1408\,A^2\,b\,c^{10}\,d^3\,e+256\,A^2\,c^{11}\,d^4-1386\,A\,B\,b^5\,c^6\,e^4+3432\,A\,B\,b^4\,c^7\,d\,e^3-3312\,A\,B\,b^3\,c^8\,d^2\,e^2+1472\,A\,B\,b^2\,c^9\,d^3\,e-256\,A\,B\,b\,c^{10}\,d^4+441\,B^2\,b^6\,c^5\,e^4-1008\,B^2\,b^5\,c^6\,d\,e^3+912\,B^2\,b^4\,c^7\,d^2\,e^2-384\,B^2\,b^3\,c^8\,d^3\,e+64\,B^2\,b^2\,c^9\,d^4\right)}{64\,\left(b^{17}\,e^7-7\,b^{16}\,c\,d\,e^6+21\,b^{15}\,c^2\,d^2\,e^5-35\,b^{14}\,c^3\,d^3\,e^4+35\,b^{13}\,c^4\,d^4\,e^3-21\,b^{12}\,c^5\,d^5\,e^2+7\,b^{11}\,c^6\,d^6\,e-b^{10}\,c^7\,d^7\right)}}\,\left(8192\,b^{38}\,c^2\,d^{15}\,e^{18}-139264\,b^{37}\,c^3\,d^{16}\,e^{17}+1105920\,b^{36}\,c^4\,d^{17}\,e^{16}-5447680\,b^{35}\,c^5\,d^{18}\,e^{15}+18636800\,b^{34}\,c^6\,d^{19}\,e^{14}-46964736\,b^{33}\,c^7\,d^{20}\,e^{13}+90202112\,b^{32}\,c^8\,d^{21}\,e^{12}-134717440\,b^{31}\,c^9\,d^{22}\,e^{11}+158146560\,b^{30}\,c^{10}\,d^{23}\,e^{10}-146432000\,b^{29}\,c^{11}\,d^{24}\,e^9+106602496\,b^{28}\,c^{12}\,d^{25}\,e^8-60383232\,b^{27}\,c^{13}\,d^{26}\,e^7+26091520\,b^{26}\,c^{14}\,d^{27}\,e^6-8314880\,b^{25}\,c^{15}\,d^{28}\,e^5+1843200\,b^{24}\,c^{16}\,d^{29}\,e^4-253952\,b^{23}\,c^{17}\,d^{30}\,e^3+16384\,b^{22}\,c^{18}\,d^{31}\,e^2\right)+24576\,A\,b^{18}\,c^{19}\,d^{29}\,e^3-356352\,A\,b^{19}\,c^{18}\,d^{28}\,e^4+2396160\,A\,b^{20}\,c^{17}\,d^{27}\,e^5-9897984\,A\,b^{21}\,c^{16}\,d^{26}\,e^6+28065792\,A\,b^{22}\,c^{15}\,d^{25}\,e^7-57891840\,A\,b^{23}\,c^{14}\,d^{24}\,e^8+90071040\,A\,b^{24}\,c^{13}\,d^{23}\,e^9-108810240\,A\,b^{25}\,c^{12}\,d^{22}\,e^{10}+105566208\,A\,b^{26}\,c^{11}\,d^{21}\,e^{11}-86406144\,A\,b^{27}\,c^{10}\,d^{20}\,e^{12}+63393792\,A\,b^{28}\,c^9\,d^{19}\,e^{13}-43075584\,A\,b^{29}\,c^8\,d^{18}\,e^{14}+26173440\,A\,b^{30}\,c^7\,d^{17}\,e^{15}-13108224\,A\,b^{31}\,c^6\,d^{16}\,e^{16}+4964352\,A\,b^{32}\,c^5\,d^{15}\,e^{17}-1302528\,A\,b^{33}\,c^4\,d^{14}\,e^{18}+208896\,A\,b^{34}\,c^3\,d^{13}\,e^{19}-15360\,A\,b^{35}\,c^2\,d^{12}\,e^{20}-12288\,B\,b^{19}\,c^{18}\,d^{29}\,e^3+181248\,B\,b^{20}\,c^{17}\,d^{28}\,e^4-1241088\,B\,b^{21}\,c^{16}\,d^{27}\,e^5+5203968\,B\,b^{22}\,c^{15}\,d^{26}\,e^6-14831616\,B\,b^{23}\,c^{14}\,d^{25}\,e^7+30096384\,B\,b^{24}\,c^{13}\,d^{24}\,e^8-44064768\,B\,b^{25}\,c^{12}\,d^{23}\,e^9+45551616\,B\,b^{26}\,c^{11}\,d^{22}\,e^{10}-30007296\,B\,b^{27}\,c^{10}\,d^{21}\,e^{11}+6454272\,B\,b^{28}\,c^9\,d^{20}\,e^{12}+10407936\,B\,b^{29}\,c^8\,d^{19}\,e^{13}-14112768\,B\,b^{30}\,c^7\,d^{18}\,e^{14}+9449472\,B\,b^{31}\,c^6\,d^{17}\,e^{15}-3996672\,B\,b^{32}\,c^5\,d^{16}\,e^{16}+1081344\,B\,b^{33}\,c^4\,d^{15}\,e^{17}-172032\,B\,b^{34}\,c^3\,d^{14}\,e^{18}+12288\,B\,b^{35}\,c^2\,d^{13}\,e^{19}\right)\right)\,\sqrt{-\frac{9\,\left(1089\,A^2\,b^4\,c^7\,e^4-2904\,A^2\,b^3\,c^8\,d\,e^3+2992\,A^2\,b^2\,c^9\,d^2\,e^2-1408\,A^2\,b\,c^{10}\,d^3\,e+256\,A^2\,c^{11}\,d^4-1386\,A\,B\,b^5\,c^6\,e^4+3432\,A\,B\,b^4\,c^7\,d\,e^3-3312\,A\,B\,b^3\,c^8\,d^2\,e^2+1472\,A\,B\,b^2\,c^9\,d^3\,e-256\,A\,B\,b\,c^{10}\,d^4+441\,B^2\,b^6\,c^5\,e^4-1008\,B^2\,b^5\,c^6\,d\,e^3+912\,B^2\,b^4\,c^7\,d^2\,e^2-384\,B^2\,b^3\,c^8\,d^3\,e+64\,B^2\,b^2\,c^9\,d^4\right)}{64\,\left(b^{17}\,e^7-7\,b^{16}\,c\,d\,e^6+21\,b^{15}\,c^2\,d^2\,e^5-35\,b^{14}\,c^3\,d^3\,e^4+35\,b^{13}\,c^4\,d^4\,e^3-21\,b^{12}\,c^5\,d^5\,e^2+7\,b^{11}\,c^6\,d^6\,e-b^{10}\,c^7\,d^7\right)}}-1769472\,A^3\,b^8\,c^{23}\,d^{26}\,e^3+23003136\,A^3\,b^9\,c^{22}\,d^{25}\,e^4-136138752\,A^3\,b^{10}\,c^{21}\,d^{24}\,e^5+483508224\,A^3\,b^{11}\,c^{20}\,d^{23}\,e^6-1141579008\,A^3\,b^{12}\,c^{19}\,d^{22}\,e^7+1869094656\,A^3\,b^{13}\,c^{18}\,d^{21}\,e^8-2133106272\,A^3\,b^{14}\,c^{17}\,d^{20}\,e^9+1631703744\,A^3\,b^{15}\,c^{16}\,d^{19}\,e^{10}-716335488\,A^3\,b^{16}\,c^{15}\,d^{18}\,e^{11}+36390816\,A^3\,b^{17}\,c^{14}\,d^{17}\,e^{12}+153641664\,A^3\,b^{18}\,c^{13}\,d^{16}\,e^{13}-89697024\,A^3\,b^{19}\,c^{12}\,d^{15}\,e^{14}+40065408\,A^3\,b^{20}\,c^{11}\,d^{14}\,e^{15}-43695936\,A^3\,b^{21}\,c^{10}\,d^{13}\,e^{16}+41388192\,A^3\,b^{22}\,c^9\,d^{12}\,e^{17}-21843648\,A^3\,b^{23}\,c^8\,d^{11}\,e^{18}+6082560\,A^3\,b^{24}\,c^7\,d^{10}\,e^{19}-712800\,A^3\,b^{25}\,c^6\,d^9\,e^{20}+221184\,B^3\,b^{11}\,c^{20}\,d^{26}\,e^3-3041280\,B^3\,b^{12}\,c^{19}\,d^{25}\,e^4+19132416\,B^3\,b^{13}\,c^{18}\,d^{24}\,e^5-72873216\,B^3\,b^{14}\,c^{17}\,d^{23}\,e^6+187373952\,B^3\,b^{15}\,c^{16}\,d^{22}\,e^7-343108224\,B^3\,b^{16}\,c^{15}\,d^{21}\,e^8+459302400\,B^3\,b^{17}\,c^{14}\,d^{20}\,e^9-452086272\,B^3\,b^{18}\,c^{13}\,d^{19}\,e^{10}+320101632\,B^3\,b^{19}\,c^{12}\,d^{18}\,e^{11}-148172544\,B^3\,b^{20}\,c^{11}\,d^{17}\,e^{12}+24731136\,B^3\,b^{21}\,c^{10}\,d^{16}\,e^{13}+23604480\,B^3\,b^{22}\,c^9\,d^{15}\,e^{14}-23497344\,B^3\,b^{23}\,c^8\,d^{14}\,e^{15}+10675584\,B^3\,b^{24}\,c^7\,d^{13}\,e^{16}-2654208\,B^3\,b^{25}\,c^6\,d^{12}\,e^{17}+290304\,B^3\,b^{26}\,c^5\,d^{11}\,e^{18}-1327104\,A\,B^2\,b^{10}\,c^{21}\,d^{26}\,e^3+17915904\,A\,B^2\,b^{11}\,c^{20}\,d^{25}\,e^4-110481408\,A\,B^2\,b^{12}\,c^{19}\,d^{24}\,e^5+411360768\,A\,B^2\,b^{13}\,c^{18}\,d^{23}\,e^6-1029158784\,A\,B^2\,b^{14}\,c^{17}\,d^{22}\,e^7+1819508832\,A\,B^2\,b^{15}\,c^{16}\,d^{21}\,e^8-2321496288\,A\,B^2\,b^{16}\,c^{15}\,d^{20}\,e^9+2131940736\,A\,B^2\,b^{17}\,c^{14}\,d^{19}\,e^{10}-1360146816\,A\,B^2\,b^{18}\,c^{13}\,d^{18}\,e^{11}+537046848\,A\,B^2\,b^{19}\,c^{12}\,d^{17}\,e^{12}-75442752\,A\,B^2\,b^{20}\,c^{11}\,d^{16}\,e^{13}-26096256\,A\,B^2\,b^{21}\,c^{10}\,d^{15}\,e^{14}-9808128\,A\,B^2\,b^{22}\,c^9\,d^{14}\,e^{15}+30634848\,A\,B^2\,b^{23}\,c^8\,d^{13}\,e^{16}-19613664\,A\,B^2\,b^{24}\,c^7\,d^{12}\,e^{17}+5889024\,A\,B^2\,b^{25}\,c^6\,d^{11}\,e^{18}-725760\,A\,B^2\,b^{26}\,c^5\,d^{10}\,e^{19}+2654208\,A^2\,B\,b^9\,c^{22}\,d^{26}\,e^3-35168256\,A^2\,B\,b^{10}\,c^{21}\,d^{25}\,e^4+212502528\,A^2\,B\,b^{11}\,c^{20}\,d^{24}\,e^5-772996608\,A^2\,B\,b^{12}\,c^{19}\,d^{23}\,e^6+1879770240\,A^2\,B\,b^{13}\,c^{18}\,d^{22}\,e^7-3201998688\,A^2\,B\,b^{14}\,c^{17}\,d^{21}\,e^8+3875314752\,A^2\,B\,b^{15}\,c^{16}\,d^{20}\,e^9-3278408256\,A^2\,B\,b^{16}\,c^{15}\,d^{19}\,e^{10}+1809184896\,A^2\,B\,b^{17}\,c^{14}\,d^{18}\,e^{11}-509470560\,A^2\,B\,b^{18}\,c^{13}\,d^{17}\,e^{12}-26137728\,A^2\,B\,b^{19}\,c^{12}\,d^{16}\,e^{13}+20559744\,A^2\,B\,b^{20}\,c^{11}\,d^{15}\,e^{14}+65536128\,A^2\,B\,b^{21}\,c^{10}\,d^{14}\,e^{15}-57254688\,A^2\,B\,b^{22}\,c^9\,d^{13}\,e^{16}+15059520\,A^2\,B\,b^{23}\,c^8\,d^{12}\,e^{17}+3043008\,A^2\,B\,b^{24}\,c^7\,d^{11}\,e^{18}-2643840\,A^2\,B\,b^{25}\,c^6\,d^{10}\,e^{19}+453600\,A^2\,B\,b^{26}\,c^5\,d^9\,e^{20}}\right)\,\sqrt{-\frac{9\,\left(1089\,A^2\,b^4\,c^7\,e^4-2904\,A^2\,b^3\,c^8\,d\,e^3+2992\,A^2\,b^2\,c^9\,d^2\,e^2-1408\,A^2\,b\,c^{10}\,d^3\,e+256\,A^2\,c^{11}\,d^4-1386\,A\,B\,b^5\,c^6\,e^4+3432\,A\,B\,b^4\,c^7\,d\,e^3-3312\,A\,B\,b^3\,c^8\,d^2\,e^2+1472\,A\,B\,b^2\,c^9\,d^3\,e-256\,A\,B\,b\,c^{10}\,d^4+441\,B^2\,b^6\,c^5\,e^4-1008\,B^2\,b^5\,c^6\,d\,e^3+912\,B^2\,b^4\,c^7\,d^2\,e^2-384\,B^2\,b^3\,c^8\,d^3\,e+64\,B^2\,b^2\,c^9\,d^4\right)}{64\,\left(b^{17}\,e^7-7\,b^{16}\,c\,d\,e^6+21\,b^{15}\,c^2\,d^2\,e^5-35\,b^{14}\,c^3\,d^3\,e^4+35\,b^{13}\,c^4\,d^4\,e^3-21\,b^{12}\,c^5\,d^5\,e^2+7\,b^{11}\,c^6\,d^6\,e-b^{10}\,c^7\,d^7\right)}}\,2{}\mathrm{i}","Not used",1,"- ((2*(A*e^5 - B*d*e^4))/(c*d^2 - b*d*e) + ((d + e*x)^2*(15*A*b^6*e^7 - 72*A*c^6*d^6*e - 12*B*b^6*d*e^6 + 216*A*b*c^5*d^5*e^2 + 76*B*b^5*c*d^2*e^5 - 199*A*b^2*c^4*d^4*e^3 + 38*A*b^3*c^3*d^3*e^4 + 106*A*b^4*c^2*d^2*e^5 - 117*B*b^2*c^4*d^5*e^2 + 122*B*b^3*c^3*d^4*e^3 - 120*B*b^4*c^2*d^3*e^4 - 89*A*b^5*c*d*e^6 + 36*B*b*c^5*d^6*e))/(4*b^4*(c*d^2 - b*d*e)^3) + ((d + e*x)^3*(30*A*b^5*c*e^6 + 72*A*c^6*d^5*e - 180*A*b*c^5*d^4*e^2 - 73*A*b^4*c^2*d*e^5 + 118*A*b^2*c^4*d^3*e^3 + 3*A*b^3*c^3*d^2*e^4 + 99*B*b^2*c^4*d^4*e^2 - 77*B*b^3*c^3*d^3*e^3 + 68*B*b^4*c^2*d^2*e^4 - 36*B*b*c^5*d^5*e - 24*B*b^5*c*d*e^5))/(4*b^4*(c*d^2 - b*d*e)^3) + ((d + e*x)*(25*A*b^5*e^6 + 24*A*c^5*d^5*e - 20*B*b^5*d*e^5 - 60*A*b*c^4*d^4*e^2 + 48*B*b^4*c*d^2*e^4 + 36*A*b^2*c^3*d^3*e^3 + 6*A*b^3*c^2*d^2*e^4 + 33*B*b^2*c^3*d^4*e^2 - 24*B*b^3*c^2*d^3*e^3 - 56*A*b^4*c*d*e^5 - 12*B*b*c^4*d^5*e))/(4*b^4*(c*d^2 - b*d*e)^2) - (3*(d + e*x)^4*(8*A*c^6*d^4*e - 5*A*b^4*c^2*e^5 - 16*A*b*c^5*d^3*e^2 + 3*A*b^3*c^3*d*e^4 + 4*B*b^4*c^2*d*e^4 + 5*A*b^2*c^4*d^2*e^3 + 9*B*b^2*c^4*d^3*e^2 - 4*B*b^3*c^3*d^2*e^3 - 4*B*b*c^5*d^4*e))/(4*b^4*(c*d^2 - b*d*e)^3))/(c^2*(d + e*x)^(9/2) - (4*c^2*d - 2*b*c*e)*(d + e*x)^(7/2) - (d + e*x)^(3/2)*(4*c^2*d^3 + 2*b^2*d*e^2 - 6*b*c*d^2*e) + (d + e*x)^(5/2)*(b^2*e^2 + 6*c^2*d^2 - 6*b*c*d*e) + (d + e*x)^(1/2)*(c^2*d^4 + b^2*d^2*e^2 - 2*b*c*d^3*e)) - atan(-(((d + e*x)^(1/2)*(589824*A^2*b^12*c^22*d^28*e^2 - 8257536*A^2*b^13*c^21*d^27*e^3 + 53342208*A^2*b^14*c^20*d^26*e^4 - 210382848*A^2*b^15*c^19*d^25*e^5 + 564860160*A^2*b^16*c^18*d^24*e^6 - 1089838080*A^2*b^17*c^17*d^23*e^7 + 1555380864*A^2*b^18*c^16*d^22*e^8 - 1667850624*A^2*b^19*c^15*d^21*e^9 + 1358257536*A^2*b^20*c^14*d^20*e^10 - 855642240*A^2*b^21*c^13*d^19*e^11 + 438185088*A^2*b^22*c^12*d^18*e^12 - 201386880*A^2*b^23*c^11*d^17*e^13 + 90100224*A^2*b^24*c^10*d^16*e^14 - 37986048*A^2*b^25*c^9*d^15*e^15 + 15108480*A^2*b^26*c^8*d^14*e^16 - 6844032*A^2*b^27*c^7*d^13*e^17 + 3399552*A^2*b^28*c^6*d^12*e^18 - 1300608*A^2*b^29*c^5*d^11*e^19 + 293760*A^2*b^30*c^4*d^10*e^20 - 28800*A^2*b^31*c^3*d^9*e^21 + 147456*B^2*b^14*c^20*d^28*e^2 - 2138112*B^2*b^15*c^19*d^27*e^3 + 14340096*B^2*b^16*c^18*d^26*e^4 - 58816512*B^2*b^17*c^17*d^25*e^5 + 164257920*B^2*b^18*c^16*d^24*e^6 - 328809600*B^2*b^19*c^15*d^23*e^7 + 482904576*B^2*b^20*c^14*d^22*e^8 - 521961984*B^2*b^21*c^13*d^21*e^9 + 407418624*B^2*b^22*c^12*d^20*e^10 - 216610560*B^2*b^23*c^11*d^19*e^11 + 65382912*B^2*b^24*c^10*d^18*e^12 - 1276416*B^2*b^25*c^9*d^17*e^13 - 6007680*B^2*b^26*c^8*d^16*e^14 + 137088*B^2*b^27*c^7*d^15*e^15 + 1751040*B^2*b^28*c^6*d^14*e^16 - 903168*B^2*b^29*c^5*d^13*e^17 + 202752*B^2*b^30*c^4*d^12*e^18 - 18432*B^2*b^31*c^3*d^11*e^19 - 589824*A*B*b^13*c^21*d^28*e^2 + 8404992*A*B*b^14*c^20*d^27*e^3 - 55332864*A*B*b^15*c^19*d^26*e^4 + 222584832*A*B*b^16*c^18*d^25*e^5 - 609557760*A*B*b^17*c^17*d^24*e^6 + 1197861120*A*B*b^18*c^16*d^23*e^7 - 1733566464*A*B*b^19*c^15*d^22*e^8 + 1864765440*A*B*b^20*c^14*d^21*e^9 - 1485494784*A*B*b^21*c^13*d^20*e^10 + 864115200*A*B*b^22*c^12*d^19*e^11 - 361248768*A*B*b^23*c^11*d^18*e^12 + 110656512*A*B*b^24*c^10*d^17*e^13 - 27548928*A*B*b^25*c^9*d^16*e^14 + 3209472*A*B*b^26*c^8*d^15*e^15 + 4930560*A*B*b^27*c^7*d^14*e^16 - 4912128*A*B*b^28*c^6*d^13*e^17 + 2165760*A*B*b^29*c^5*d^12*e^18 - 488448*A*B*b^30*c^4*d^11*e^19 + 46080*A*B*b^31*c^3*d^10*e^20) - ((9*(25*A^2*b^4*e^4 + 256*A^2*c^4*d^4 + 64*B^2*b^2*c^2*d^4 + 16*B^2*b^4*d^2*e^2 + 304*A^2*b^2*c^2*d^2*e^2 + 384*A^2*b*c^3*d^3*e + 120*A^2*b^3*c*d*e^3 + 64*B^2*b^3*c*d^3*e - 256*A*B*b*c^3*d^4 - 40*A*B*b^4*d*e^3 - 320*A*B*b^2*c^2*d^3*e - 176*A*B*b^3*c*d^2*e^2))/(64*b^10*d^7))^(1/2)*((d + e*x)^(1/2)*((9*(25*A^2*b^4*e^4 + 256*A^2*c^4*d^4 + 64*B^2*b^2*c^2*d^4 + 16*B^2*b^4*d^2*e^2 + 304*A^2*b^2*c^2*d^2*e^2 + 384*A^2*b*c^3*d^3*e + 120*A^2*b^3*c*d*e^3 + 64*B^2*b^3*c*d^3*e - 256*A*B*b*c^3*d^4 - 40*A*B*b^4*d*e^3 - 320*A*B*b^2*c^2*d^3*e - 176*A*B*b^3*c*d^2*e^2))/(64*b^10*d^7))^(1/2)*(16384*b^22*c^18*d^31*e^2 - 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90071040*A*b^24*c^13*d^23*e^9 - 108810240*A*b^25*c^12*d^22*e^10 + 105566208*A*b^26*c^11*d^21*e^11 - 86406144*A*b^27*c^10*d^20*e^12 + 63393792*A*b^28*c^9*d^19*e^13 - 43075584*A*b^29*c^8*d^18*e^14 + 26173440*A*b^30*c^7*d^17*e^15 - 13108224*A*b^31*c^6*d^16*e^16 + 4964352*A*b^32*c^5*d^15*e^17 - 1302528*A*b^33*c^4*d^14*e^18 + 208896*A*b^34*c^3*d^13*e^19 - 15360*A*b^35*c^2*d^12*e^20 - 12288*B*b^19*c^18*d^29*e^3 + 181248*B*b^20*c^17*d^28*e^4 - 1241088*B*b^21*c^16*d^27*e^5 + 5203968*B*b^22*c^15*d^26*e^6 - 14831616*B*b^23*c^14*d^25*e^7 + 30096384*B*b^24*c^13*d^24*e^8 - 44064768*B*b^25*c^12*d^23*e^9 + 45551616*B*b^26*c^11*d^22*e^10 - 30007296*B*b^27*c^10*d^21*e^11 + 6454272*B*b^28*c^9*d^20*e^12 + 10407936*B*b^29*c^8*d^19*e^13 - 14112768*B*b^30*c^7*d^18*e^14 + 9449472*B*b^31*c^6*d^17*e^15 - 3996672*B*b^32*c^5*d^16*e^16 + 1081344*B*b^33*c^4*d^15*e^17 - 172032*B*b^34*c^3*d^14*e^18 + 12288*B*b^35*c^2*d^13*e^19))*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 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1733566464*A*B*b^19*c^15*d^22*e^8 + 1864765440*A*B*b^20*c^14*d^21*e^9 - 1485494784*A*B*b^21*c^13*d^20*e^10 + 864115200*A*B*b^22*c^12*d^19*e^11 - 361248768*A*B*b^23*c^11*d^18*e^12 + 110656512*A*B*b^24*c^10*d^17*e^13 - 27548928*A*B*b^25*c^9*d^16*e^14 + 3209472*A*B*b^26*c^8*d^15*e^15 + 4930560*A*B*b^27*c^7*d^14*e^16 - 4912128*A*B*b^28*c^6*d^13*e^17 + 2165760*A*B*b^29*c^5*d^12*e^18 - 488448*A*B*b^30*c^4*d^11*e^19 + 46080*A*B*b^31*c^3*d^10*e^20) - (-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2)*(16384*b^22*c^18*d^31*e^2 - 253952*b^23*c^17*d^30*e^3 + 1843200*b^24*c^16*d^29*e^4 - 8314880*b^25*c^15*d^28*e^5 + 26091520*b^26*c^14*d^27*e^6 - 60383232*b^27*c^13*d^26*e^7 + 106602496*b^28*c^12*d^25*e^8 - 146432000*b^29*c^11*d^24*e^9 + 158146560*b^30*c^10*d^23*e^10 - 134717440*b^31*c^9*d^22*e^11 + 90202112*b^32*c^8*d^21*e^12 - 46964736*b^33*c^7*d^20*e^13 + 18636800*b^34*c^6*d^19*e^14 - 5447680*b^35*c^5*d^18*e^15 + 1105920*b^36*c^4*d^17*e^16 - 139264*b^37*c^3*d^16*e^17 + 8192*b^38*c^2*d^15*e^18) - 24576*A*b^18*c^19*d^29*e^3 + 356352*A*b^19*c^18*d^28*e^4 - 2396160*A*b^20*c^17*d^27*e^5 + 9897984*A*b^21*c^16*d^26*e^6 - 28065792*A*b^22*c^15*d^25*e^7 + 57891840*A*b^23*c^14*d^24*e^8 - 90071040*A*b^24*c^13*d^23*e^9 + 108810240*A*b^25*c^12*d^22*e^10 - 105566208*A*b^26*c^11*d^21*e^11 + 86406144*A*b^27*c^10*d^20*e^12 - 63393792*A*b^28*c^9*d^19*e^13 + 43075584*A*b^29*c^8*d^18*e^14 - 26173440*A*b^30*c^7*d^17*e^15 + 13108224*A*b^31*c^6*d^16*e^16 - 4964352*A*b^32*c^5*d^15*e^17 + 1302528*A*b^33*c^4*d^14*e^18 - 208896*A*b^34*c^3*d^13*e^19 + 15360*A*b^35*c^2*d^12*e^20 + 12288*B*b^19*c^18*d^29*e^3 - 181248*B*b^20*c^17*d^28*e^4 + 1241088*B*b^21*c^16*d^27*e^5 - 5203968*B*b^22*c^15*d^26*e^6 + 14831616*B*b^23*c^14*d^25*e^7 - 30096384*B*b^24*c^13*d^24*e^8 + 44064768*B*b^25*c^12*d^23*e^9 - 45551616*B*b^26*c^11*d^22*e^10 + 30007296*B*b^27*c^10*d^21*e^11 - 6454272*B*b^28*c^9*d^20*e^12 - 10407936*B*b^29*c^8*d^19*e^13 + 14112768*B*b^30*c^7*d^18*e^14 - 9449472*B*b^31*c^6*d^17*e^15 + 3996672*B*b^32*c^5*d^16*e^16 - 1081344*B*b^33*c^4*d^15*e^17 + 172032*B*b^34*c^3*d^14*e^18 - 12288*B*b^35*c^2*d^13*e^19))*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2) - ((d + e*x)^(1/2)*(589824*A^2*b^12*c^22*d^28*e^2 - 8257536*A^2*b^13*c^21*d^27*e^3 + 53342208*A^2*b^14*c^20*d^26*e^4 - 210382848*A^2*b^15*c^19*d^25*e^5 + 564860160*A^2*b^16*c^18*d^24*e^6 - 1089838080*A^2*b^17*c^17*d^23*e^7 + 1555380864*A^2*b^18*c^16*d^22*e^8 - 1667850624*A^2*b^19*c^15*d^21*e^9 + 1358257536*A^2*b^20*c^14*d^20*e^10 - 855642240*A^2*b^21*c^13*d^19*e^11 + 438185088*A^2*b^22*c^12*d^18*e^12 - 201386880*A^2*b^23*c^11*d^17*e^13 + 90100224*A^2*b^24*c^10*d^16*e^14 - 37986048*A^2*b^25*c^9*d^15*e^15 + 15108480*A^2*b^26*c^8*d^14*e^16 - 6844032*A^2*b^27*c^7*d^13*e^17 + 3399552*A^2*b^28*c^6*d^12*e^18 - 1300608*A^2*b^29*c^5*d^11*e^19 + 293760*A^2*b^30*c^4*d^10*e^20 - 28800*A^2*b^31*c^3*d^9*e^21 + 147456*B^2*b^14*c^20*d^28*e^2 - 2138112*B^2*b^15*c^19*d^27*e^3 + 14340096*B^2*b^16*c^18*d^26*e^4 - 58816512*B^2*b^17*c^17*d^25*e^5 + 164257920*B^2*b^18*c^16*d^24*e^6 - 328809600*B^2*b^19*c^15*d^23*e^7 + 482904576*B^2*b^20*c^14*d^22*e^8 - 521961984*B^2*b^21*c^13*d^21*e^9 + 407418624*B^2*b^22*c^12*d^20*e^10 - 216610560*B^2*b^23*c^11*d^19*e^11 + 65382912*B^2*b^24*c^10*d^18*e^12 - 1276416*B^2*b^25*c^9*d^17*e^13 - 6007680*B^2*b^26*c^8*d^16*e^14 + 137088*B^2*b^27*c^7*d^15*e^15 + 1751040*B^2*b^28*c^6*d^14*e^16 - 903168*B^2*b^29*c^5*d^13*e^17 + 202752*B^2*b^30*c^4*d^12*e^18 - 18432*B^2*b^31*c^3*d^11*e^19 - 589824*A*B*b^13*c^21*d^28*e^2 + 8404992*A*B*b^14*c^20*d^27*e^3 - 55332864*A*B*b^15*c^19*d^26*e^4 + 222584832*A*B*b^16*c^18*d^25*e^5 - 609557760*A*B*b^17*c^17*d^24*e^6 + 1197861120*A*B*b^18*c^16*d^23*e^7 - 1733566464*A*B*b^19*c^15*d^22*e^8 + 1864765440*A*B*b^20*c^14*d^21*e^9 - 1485494784*A*B*b^21*c^13*d^20*e^10 + 864115200*A*B*b^22*c^12*d^19*e^11 - 361248768*A*B*b^23*c^11*d^18*e^12 + 110656512*A*B*b^24*c^10*d^17*e^13 - 27548928*A*B*b^25*c^9*d^16*e^14 + 3209472*A*B*b^26*c^8*d^15*e^15 + 4930560*A*B*b^27*c^7*d^14*e^16 - 4912128*A*B*b^28*c^6*d^13*e^17 + 2165760*A*B*b^29*c^5*d^12*e^18 - 488448*A*B*b^30*c^4*d^11*e^19 + 46080*A*B*b^31*c^3*d^10*e^20) - (-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2)*(16384*b^22*c^18*d^31*e^2 - 253952*b^23*c^17*d^30*e^3 + 1843200*b^24*c^16*d^29*e^4 - 8314880*b^25*c^15*d^28*e^5 + 26091520*b^26*c^14*d^27*e^6 - 60383232*b^27*c^13*d^26*e^7 + 106602496*b^28*c^12*d^25*e^8 - 146432000*b^29*c^11*d^24*e^9 + 158146560*b^30*c^10*d^23*e^10 - 134717440*b^31*c^9*d^22*e^11 + 90202112*b^32*c^8*d^21*e^12 - 46964736*b^33*c^7*d^20*e^13 + 18636800*b^34*c^6*d^19*e^14 - 5447680*b^35*c^5*d^18*e^15 + 1105920*b^36*c^4*d^17*e^16 - 139264*b^37*c^3*d^16*e^17 + 8192*b^38*c^2*d^15*e^18) + 24576*A*b^18*c^19*d^29*e^3 - 356352*A*b^19*c^18*d^28*e^4 + 2396160*A*b^20*c^17*d^27*e^5 - 9897984*A*b^21*c^16*d^26*e^6 + 28065792*A*b^22*c^15*d^25*e^7 - 57891840*A*b^23*c^14*d^24*e^8 + 90071040*A*b^24*c^13*d^23*e^9 - 108810240*A*b^25*c^12*d^22*e^10 + 105566208*A*b^26*c^11*d^21*e^11 - 86406144*A*b^27*c^10*d^20*e^12 + 63393792*A*b^28*c^9*d^19*e^13 - 43075584*A*b^29*c^8*d^18*e^14 + 26173440*A*b^30*c^7*d^17*e^15 - 13108224*A*b^31*c^6*d^16*e^16 + 4964352*A*b^32*c^5*d^15*e^17 - 1302528*A*b^33*c^4*d^14*e^18 + 208896*A*b^34*c^3*d^13*e^19 - 15360*A*b^35*c^2*d^12*e^20 - 12288*B*b^19*c^18*d^29*e^3 + 181248*B*b^20*c^17*d^28*e^4 - 1241088*B*b^21*c^16*d^27*e^5 + 5203968*B*b^22*c^15*d^26*e^6 - 14831616*B*b^23*c^14*d^25*e^7 + 30096384*B*b^24*c^13*d^24*e^8 - 44064768*B*b^25*c^12*d^23*e^9 + 45551616*B*b^26*c^11*d^22*e^10 - 30007296*B*b^27*c^10*d^21*e^11 + 6454272*B*b^28*c^9*d^20*e^12 + 10407936*B*b^29*c^8*d^19*e^13 - 14112768*B*b^30*c^7*d^18*e^14 + 9449472*B*b^31*c^6*d^17*e^15 - 3996672*B*b^32*c^5*d^16*e^16 + 1081344*B*b^33*c^4*d^15*e^17 - 172032*B*b^34*c^3*d^14*e^18 + 12288*B*b^35*c^2*d^13*e^19))*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2) - 1769472*A^3*b^8*c^23*d^26*e^3 + 23003136*A^3*b^9*c^22*d^25*e^4 - 136138752*A^3*b^10*c^21*d^24*e^5 + 483508224*A^3*b^11*c^20*d^23*e^6 - 1141579008*A^3*b^12*c^19*d^22*e^7 + 1869094656*A^3*b^13*c^18*d^21*e^8 - 2133106272*A^3*b^14*c^17*d^20*e^9 + 1631703744*A^3*b^15*c^16*d^19*e^10 - 716335488*A^3*b^16*c^15*d^18*e^11 + 36390816*A^3*b^17*c^14*d^17*e^12 + 153641664*A^3*b^18*c^13*d^16*e^13 - 89697024*A^3*b^19*c^12*d^15*e^14 + 40065408*A^3*b^20*c^11*d^14*e^15 - 43695936*A^3*b^21*c^10*d^13*e^16 + 41388192*A^3*b^22*c^9*d^12*e^17 - 21843648*A^3*b^23*c^8*d^11*e^18 + 6082560*A^3*b^24*c^7*d^10*e^19 - 712800*A^3*b^25*c^6*d^9*e^20 + 221184*B^3*b^11*c^20*d^26*e^3 - 3041280*B^3*b^12*c^19*d^25*e^4 + 19132416*B^3*b^13*c^18*d^24*e^5 - 72873216*B^3*b^14*c^17*d^23*e^6 + 187373952*B^3*b^15*c^16*d^22*e^7 - 343108224*B^3*b^16*c^15*d^21*e^8 + 459302400*B^3*b^17*c^14*d^20*e^9 - 452086272*B^3*b^18*c^13*d^19*e^10 + 320101632*B^3*b^19*c^12*d^18*e^11 - 148172544*B^3*b^20*c^11*d^17*e^12 + 24731136*B^3*b^21*c^10*d^16*e^13 + 23604480*B^3*b^22*c^9*d^15*e^14 - 23497344*B^3*b^23*c^8*d^14*e^15 + 10675584*B^3*b^24*c^7*d^13*e^16 - 2654208*B^3*b^25*c^6*d^12*e^17 + 290304*B^3*b^26*c^5*d^11*e^18 - 1327104*A*B^2*b^10*c^21*d^26*e^3 + 17915904*A*B^2*b^11*c^20*d^25*e^4 - 110481408*A*B^2*b^12*c^19*d^24*e^5 + 411360768*A*B^2*b^13*c^18*d^23*e^6 - 1029158784*A*B^2*b^14*c^17*d^22*e^7 + 1819508832*A*B^2*b^15*c^16*d^21*e^8 - 2321496288*A*B^2*b^16*c^15*d^20*e^9 + 2131940736*A*B^2*b^17*c^14*d^19*e^10 - 1360146816*A*B^2*b^18*c^13*d^18*e^11 + 537046848*A*B^2*b^19*c^12*d^17*e^12 - 75442752*A*B^2*b^20*c^11*d^16*e^13 - 26096256*A*B^2*b^21*c^10*d^15*e^14 - 9808128*A*B^2*b^22*c^9*d^14*e^15 + 30634848*A*B^2*b^23*c^8*d^13*e^16 - 19613664*A*B^2*b^24*c^7*d^12*e^17 + 5889024*A*B^2*b^25*c^6*d^11*e^18 - 725760*A*B^2*b^26*c^5*d^10*e^19 + 2654208*A^2*B*b^9*c^22*d^26*e^3 - 35168256*A^2*B*b^10*c^21*d^25*e^4 + 212502528*A^2*B*b^11*c^20*d^24*e^5 - 772996608*A^2*B*b^12*c^19*d^23*e^6 + 1879770240*A^2*B*b^13*c^18*d^22*e^7 - 3201998688*A^2*B*b^14*c^17*d^21*e^8 + 3875314752*A^2*B*b^15*c^16*d^20*e^9 - 3278408256*A^2*B*b^16*c^15*d^19*e^10 + 1809184896*A^2*B*b^17*c^14*d^18*e^11 - 509470560*A^2*B*b^18*c^13*d^17*e^12 - 26137728*A^2*B*b^19*c^12*d^16*e^13 + 20559744*A^2*B*b^20*c^11*d^15*e^14 + 65536128*A^2*B*b^21*c^10*d^14*e^15 - 57254688*A^2*B*b^22*c^9*d^13*e^16 + 15059520*A^2*B*b^23*c^8*d^12*e^17 + 3043008*A^2*B*b^24*c^7*d^11*e^18 - 2643840*A^2*B*b^25*c^6*d^10*e^19 + 453600*A^2*B*b^26*c^5*d^9*e^20))*(-(9*(256*A^2*c^11*d^4 + 1089*A^2*b^4*c^7*e^4 + 64*B^2*b^2*c^9*d^4 + 441*B^2*b^6*c^5*e^4 + 2992*A^2*b^2*c^9*d^2*e^2 + 912*B^2*b^4*c^7*d^2*e^2 - 1386*A*B*b^5*c^6*e^4 - 1408*A^2*b*c^10*d^3*e - 2904*A^2*b^3*c^8*d*e^3 - 384*B^2*b^3*c^8*d^3*e - 1008*B^2*b^5*c^6*d*e^3 - 256*A*B*b*c^10*d^4 + 1472*A*B*b^2*c^9*d^3*e + 3432*A*B*b^4*c^7*d*e^3 - 3312*A*B*b^3*c^8*d^2*e^2))/(64*(b^17*e^7 - b^10*c^7*d^7 + 7*b^11*c^6*d^6*e - 21*b^12*c^5*d^5*e^2 + 35*b^13*c^4*d^4*e^3 - 35*b^14*c^3*d^3*e^4 + 21*b^15*c^2*d^2*e^5 - 7*b^16*c*d*e^6)))^(1/2)*2i","B"
1254,1,24572,644,6.932567,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^3*(d + e*x)^(5/2)),x)","\ln\left(14598144\,A^3\,b^9\,c^{27}\,d^{32}\,e^4-884736\,A^3\,b^8\,c^{28}\,d^{33}\,e^3-\left(\sqrt{d+e\,x}\,\left(156800\,A^2\,b^{36}\,c^3\,d^{12}\,e^{26}-2598400\,A^2\,b^{35}\,c^4\,d^{13}\,e^{25}+19930880\,A^2\,b^{34}\,c^5\,d^{14}\,e^{24}-93688320\,A^2\,b^{33}\,c^6\,d^{15}\,e^{23}+301648512\,A^2\,b^{32}\,c^7\,d^{16}\,e^{22}-707773440\,A^2\,b^{31}\,c^8\,d^{17}\,e^{21}+1274465280\,A^2\,b^{30}\,c^9\,d^{18}\,e^{20}-1894041600\,A^2\,b^{29}\,c^{10}\,d^{19}\,e^{19}+2608529792\,A^2\,b^{28}\,c^{11}\,d^{20}\,e^{18}-3708136960\,A^2\,b^{27}\,c^{12}\,d^{21}\,e^{17}+5421597440\,A^2\,b^{26}\,c^{13}\,d^{22}\,e^{16}-7643066880\,A^2\,b^{25}\,c^{14}\,d^{23}\,e^{15}+10265639040\,A^2\,b^{24}\,c^{15}\,d^{24}\,e^{14}-13484230656\,A^2\,b^{23}\,c^{16}\,d^{25}\,e^{13}+17074641408\,A^2\,b^{22}\,c^{17}\,d^{26}\,e^{12}-19535324160\,A^2\,b^{21}\,c^{18}\,d^{27}\,e^{11}+18936107520\,A^2\,b^{20}\,c^{19}\,d^{28}\,e^{10}-14937190400\,A^2\,b^{19}\,c^{20}\,d^{29}\,e^9+9364822016\,A^2\,b^{18}\,c^{21}\,d^{30}\,e^8-4579446784\,A^2\,b^{17}\,c^{22}\,d^{31}\,e^7+1707439360\,A^2\,b^{16}\,c^{23}\,d^{32}\,e^6-468971520\,A^2\,b^{15}\,c^{24}\,d^{33}\,e^5+89518080\,A^2\,b^{14}\,c^{25}\,d^{34}\,e^4-10616832\,A^2\,b^{13}\,c^{26}\,d^{35}\,e^3+589824\,A^2\,b^{12}\,c^{27}\,d^{36}\,e^2-179200\,A\,B\,b^{36}\,c^3\,d^{13}\,e^{25}+3061760\,A\,B\,b^{35}\,c^4\,d^{14}\,e^{24}-24217600\,A\,B\,b^{34}\,c^5\,d^{15}\,e^{23}+117055488\,A\,B\,b^{33}\,c^6\,d^{16}\,e^{22}-383708160\,A\,B\,b^{32}\,c^7\,d^{17}\,e^{21}+892446720\,A\,B\,b^{31}\,c^8\,d^{18}\,e^{20}-1489551360\,A\,B\,b^{30}\,c^9\,d^{19}\,e^{19}+1742746368\,A\,B\,b^{29}\,c^{10}\,d^{20}\,e^{18}-1280942080\,A\,B\,b^{28}\,c^{11}\,d^{21}\,e^{17}+178449920\,A\,B\,b^{27}\,c^{12}\,d^{22}\,e^{16}+1413002240\,A\,B\,b^{26}\,c^{13}\,d^{23}\,e^{15}-4111491840\,A\,B\,b^{25}\,c^{14}\,d^{24}\,e^{14}+8955257856\,A\,B\,b^{24}\,c^{15}\,d^{25}\,e^{13}-15463523328\,A\,B\,b^{23}\,c^{16}\,d^{26}\,e^{12}+20693207040\,A\,B\,b^{22}\,c^{17}\,d^{27}\,e^{11}-21406851840\,A\,B\,b^{21}\,c^{18}\,d^{28}\,e^{10}+17186104320\,A\,B\,b^{20}\,c^{19}\,d^{29}\,e^9-10713545216\,A\,B\,b^{19}\,c^{20}\,d^{30}\,e^8+5151263744\,A\,B\,b^{18}\,c^{21}\,d^{31}\,e^7-1878764800\,A\,B\,b^{17}\,c^{22}\,d^{32}\,e^6+503726080\,A\,B\,b^{16}\,c^{23}\,d^{33}\,e^5-93818880\,A\,B\,b^{15}\,c^{24}\,d^{34}\,e^4+10862592\,A\,B\,b^{14}\,c^{25}\,d^{35}\,e^3-589824\,A\,B\,b^{13}\,c^{26}\,d^{36}\,e^2+51200\,B^2\,b^{36}\,c^3\,d^{14}\,e^{24}-901120\,B^2\,b^{35}\,c^4\,d^{15}\,e^{23}+7344128\,B^2\,b^{34}\,c^5\,d^{16}\,e^{22}-36495360\,B^2\,b^{33}\,c^6\,d^{17}\,e^{21}+121989120\,B^2\,b^{32}\,c^7\,d^{18}\,e^{20}-282501120\,B^2\,b^{31}\,c^8\,d^{19}\,e^{19}+437847168\,B^2\,b^{30}\,c^9\,d^{20}\,e^{18}-366558720\,B^2\,b^{29}\,c^{10}\,d^{21}\,e^{17}-107134720\,B^2\,b^{28}\,c^{11}\,d^{22}\,e^{16}+721318400\,B^2\,b^{27}\,c^{12}\,d^{23}\,e^{15}-668122240\,B^2\,b^{26}\,c^{13}\,d^{24}\,e^{14}-766116864\,B^2\,b^{25}\,c^{14}\,d^{25}\,e^{13}+3273549312\,B^2\,b^{24}\,c^{15}\,d^{26}\,e^{12}-5478190080\,B^2\,b^{23}\,c^{16}\,d^{27}\,e^{11}+6076371840\,B^2\,b^{22}\,c^{17}\,d^{28}\,e^{10}-4951119360\,B^2\,b^{21}\,c^{18}\,d^{29}\,e^9+3062171904\,B^2\,b^{20}\,c^{19}\,d^{30}\,e^8-1446258176\,B^2\,b^{19}\,c^{20}\,d^{31}\,e^7+515884160\,B^2\,b^{18}\,c^{21}\,d^{32}\,e^6-135055360\,B^2\,b^{17}\,c^{22}\,d^{33}\,e^5+24555520\,B^2\,b^{16}\,c^{23}\,d^{34}\,e^4-2777088\,B^2\,b^{15}\,c^{24}\,d^{35}\,e^3+147456\,B^2\,b^{14}\,c^{25}\,d^{36}\,e^2\right)-\sqrt{\frac{1225\,A^2\,b^4\,e^4+4200\,A^2\,b^3\,c\,d\,e^3+6960\,A^2\,b^2\,c^2\,d^2\,e^2+5760\,A^2\,b\,c^3\,d^3\,e+2304\,A^2\,c^4\,d^4-1400\,A\,B\,b^4\,d\,e^3-4080\,A\,B\,b^3\,c\,d^2\,e^2-4800\,A\,B\,b^2\,c^2\,d^3\,e-2304\,A\,B\,b\,c^3\,d^4+400\,B^2\,b^4\,d^2\,e^2+960\,B^2\,b^3\,c\,d^3\,e+576\,B^2\,b^2\,c^2\,d^4}{64\,b^{10}\,d^9}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{1225\,A^2\,b^4\,e^4+4200\,A^2\,b^3\,c\,d\,e^3+6960\,A^2\,b^2\,c^2\,d^2\,e^2+5760\,A^2\,b\,c^3\,d^3\,e+2304\,A^2\,c^4\,d^4-1400\,A\,B\,b^4\,d\,e^3-4080\,A\,B\,b^3\,c\,d^2\,e^2-4800\,A\,B\,b^2\,c^2\,d^3\,e-2304\,A\,B\,b\,c^3\,d^4+400\,B^2\,b^4\,d^2\,e^2+960\,B^2\,b^3\,c\,d^3\,e+576\,B^2\,b^2\,c^2\,d^4}{64\,b^{10}\,d^9}}\,\left(-8192\,b^{43}\,c^2\,d^{20}\,e^{23}+180224\,b^{42}\,c^3\,d^{21}\,e^{22}-1884160\,b^{41}\,c^4\,d^{22}\,e^{21}+12451840\,b^{40}\,c^5\,d^{23}\,e^{20}-58368000\,b^{39}\,c^6\,d^{24}\,e^{19}+206389248\,b^{38}\,c^7\,d^{25}\,e^{18}-571539456\,b^{37}\,c^8\,d^{26}\,e^{17}+1270087680\,b^{36}\,c^9\,d^{27}\,e^{16}-2302033920\,b^{35}\,c^{10}\,d^{28}\,e^{15}+3439820800\,b^{34}\,c^{11}\,d^{29}\,e^{14}-4265377792\,b^{33}\,c^{12}\,d^{30}\,e^{13}+4402970624\,b^{32}\,c^{13}\,d^{31}\,e^{12}-3783802880\,b^{31}\,c^{14}\,d^{32}\,e^{11}+2698936320\,b^{30}\,c^{15}\,d^{33}\,e^{10}-1587609600\,b^{29}\,c^{16}\,d^{34}\,e^9+762052608\,b^{28}\,c^{17}\,d^{35}\,e^8-293707776\,b^{27}\,c^{18}\,d^{36}\,e^7+88719360\,b^{26}\,c^{19}\,d^{37}\,e^6-20234240\,b^{25}\,c^{20}\,d^{38}\,e^5+3276800\,b^{24}\,c^{21}\,d^{39}\,e^4-335872\,b^{23}\,c^{22}\,d^{40}\,e^3+16384\,b^{22}\,c^{23}\,d^{41}\,e^2\right)+24576\,A\,b^{18}\,c^{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{8}-\frac{255\,A\,B\,b^3\,c\,d^2\,e^2}{4}-75\,A\,B\,b^2\,c^2\,d^3\,e-36\,A\,B\,b\,c^3\,d^4+\frac{25\,B^2\,b^4\,d^2\,e^2}{4}+15\,B^2\,b^3\,c\,d^3\,e+9\,B^2\,b^2\,c^2\,d^4}{b^{10}\,d^9}}\,\left(\sqrt{d+e\,x}\,\sqrt{\frac{\frac{1225\,A^2\,b^4\,e^4}{64}+\frac{525\,A^2\,b^3\,c\,d\,e^3}{8}+\frac{435\,A^2\,b^2\,c^2\,d^2\,e^2}{4}+90\,A^2\,b\,c^3\,d^3\,e+36\,A^2\,c^4\,d^4-\frac{175\,A\,B\,b^4\,d\,e^3}{8}-\frac{255\,A\,B\,b^3\,c\,d^2\,e^2}{4}-75\,A\,B\,b^2\,c^2\,d^3\,e-36\,A\,B\,b\,c^3\,d^4+\frac{25\,B^2\,b^4\,d^2\,e^2}{4}+15\,B^2\,b^3\,c\,d^3\,e+9\,B^2\,b^2\,c^2\,d^4}{b^{10}\,d^9}}\,\left(-8192\,b^{43}\,c^2\,d^{20}\,e^{23}+180224\,b^{42}\,c^3\,d^{21}\,e^{22}-1884160\,b^{41}\,c^4\,d^{22}\,e^{21}+12451840\,b^{40}\,c^5\,d^{23}\,e^{20}-58368000\,b^{39}\,c^6\,d^{24}\,e^{19}+206389248\,b^{38}\,c^7\,d^{25}\,e^{18}-571539456\,b^{37}\,c^8\,d^{26}\,e^{17}+1270087680\,b^{36}\,c^9\,d^{27}\,e^{16}-2302033920\,b^{35}\,c^{10}\,d^{28}\,e^{15}+3439820800\,b^{34}\,c^{11}\,d^{29}\,e^{14}-4265377792\,b^{33}\,c^{12}\,d^{30}\,e^{13}+4402970624\,b^{32}\,c^{13}\,d^{31}\,e^{12}-3783802880\,b^{31}\,c^{14}\,d^{32}\,e^{11}+2698936320\,b^{30}\,c^{15}\,d^{33}\,e^{10}-1587609600\,b^{29}\,c^{16}\,d^{34}\,e^9+762052608\,b^{28}\,c^{17}\,d^{35}\,e^8-293707776\,b^{27}\,c^{18}\,d^{36}\,e^7+88719360\,b^{26}\,c^{19}\,d^{37}\,e^6-20234240\,b^{25}\,c^{20}\,d^{38}\,e^5+3276800\,b^{24}\,c^{21}\,d^{39}\,e^4-335872\,b^{23}\,c^{22}\,d^{40}\,e^3+16384\,b^{22}\,c^{23}\,d^{41}\,e^2\right)-24576\,A\,b^{18}\,c^{24}\,d^{38}\,e^3+466944\,A\,b^{19}\,c^{23}\,d^{37}\,e^4-4185088\,A\,b^{20}\,c^{22}\,d^{36}\,e^5+23500800\,A\,b^{21}\,c^{21}\,d^{35}\,e^6-92710912\,A\,b^{22}\,c^{20}\,d^{34}\,e^7+273566720\,A\,b^{23}\,c^{19}\,d^{33}\,e^8-629578752\,A\,b^{24}\,c^{18}\,d^{32}\,e^9+1169833984\,A\,b^{25}\,c^{17}\,d^{31}\,e^{10}-1818910720\,A\,b^{26}\,c^{16}\,d^{30}\,e^{11}+2465058816\,A\,b^{27}\,c^{15}\,d^{29}\,e^{12}-3031169024\,A\,b^{28}\,c^{14}\,d^{28}\,e^{13}+3457871872\,A\,b^{29}\,c^{13}\,d^{27}\,e^{14}-3626348544\,A\,b^{30}\,c^{12}\,d^{26}\,e^{15}+3385559040\,A\,b^{31}\,c^{11}\,d^{25}\,e^{16}-2714064896\,A\,b^{32}\,c^{10}\,d^{24}\,e^{17}+1813512192\,A\,b^{33}\,c^9\,d^{23}\,e^{18}-986251264\,A\,b^{34}\,c^8\,d^{22}\,e^{19}+426815488\,A\,b^{35}\,c^7\,d^{21}\,e^{20}-143109120\,A\,b^{36}\,c^6\,d^{20}\,e^{21}+35796992\,A\,b^{37}\,c^5\,d^{19}\,e^{22}-6285312\,A\,b^{38}\,c^4\,d^{18}\,e^{23}+691200\,A\,b^{39}\,c^3\,d^{17}\,e^{24}-35840\,A\,b^{40}\,c^2\,d^{16}\,e^{25}+12288\,B\,b^{19}\,c^{23}\,d^{38}\,e^3-238592\,B\,b^{20}\,c^{22}\,d^{37}\,e^4+2187264\,B\,b^{21}\,c^{21}\,d^{36}\,e^5-12492800\,B\,b^{22}\,c^{20}\,d^{35}\,e^6+49401856\,B\,b^{23}\,c^{19}\,d^{34}\,e^7-141926400\,B\,b^{24}\,c^{18}\,d^{33}\,e^8+300793856\,B\,b^{25}\,c^{17}\,d^{32}\,e^9-460562432\,B\,b^{26}\,c^{16}\,d^{31}\,e^{10}+455516160\,B\,b^{27}\,c^{15}\,d^{30}\,e^{11}-116267008\,B\,b^{28}\,c^{14}\,d^{29}\,e^{12}-543981568\,B\,b^{29}\,c^{13}\,d^{28}\,e^{13}+1250156544\,B\,b^{30}\,c^{12}\,d^{27}\,e^{14}-1639292928\,B\,b^{31}\,c^{11}\,d^{26}\,e^{15}+1547694080\,B\,b^{32}\,c^{10}\,d^{25}\,e^{16}-1115799552\,B\,b^{33}\,c^9\,d^{24}\,e^{17}+624861184\,B\,b^{34}\,c^8\,d^{23}\,e^{18}-271372288\,B\,b^{35}\,c^7\,d^{22}\,e^{19}+89988096\,B\,b^{36}\,c^6\,d^{21}\,e^{20}-22077440\,B\,b^{37}\,c^5\,d^{20}\,e^{21}+3784704\,B\,b^{38}\,c^4\,d^{19}\,e^{22}-405504\,B\,b^{39}\,c^3\,d^{18}\,e^{23}+20480\,B\,b^{40}\,c^2\,d^{17}\,e^{24}\right)\right)\,\sqrt{\frac{\frac{1225\,A^2\,b^4\,e^4}{64}+\frac{525\,A^2\,b^3\,c\,d\,e^3}{8}+\frac{435\,A^2\,b^2\,c^2\,d^2\,e^2}{4}+90\,A^2\,b\,c^3\,d^3\,e+36\,A^2\,c^4\,d^4-\frac{175\,A\,B\,b^4\,d\,e^3}{8}-\frac{255\,A\,B\,b^3\,c\,d^2\,e^2}{4}-75\,A\,B\,b^2\,c^2\,d^3\,e-36\,A\,B\,b\,c^3\,d^4+\frac{25\,B^2\,b^4\,d^2\,e^2}{4}+15\,B^2\,b^3\,c\,d^3\,e+9\,B^2\,b^2\,c^2\,d^4}{b^{10}\,d^9}}-884736\,A^3\,b^8\,c^{28}\,d^{33}\,e^3+14598144\,A^3\,b^9\,c^{27}\,d^{32}\,e^4-111310848\,A^3\,b^{10}\,c^{26}\,d^{31}\,e^5+518538240\,A^3\,b^{11}\,c^{25}\,d^{30}\,e^6-1640557440\,A^3\,b^{12}\,c^{24}\,d^{29}\,e^7+3692369088\,A^3\,b^{13}\,c^{23}\,d^{28}\,e^8-5970365632\,A^3\,b^{14}\,c^{22}\,d^{27}\,e^9+6695810784\,A^3\,b^{15}\,c^{21}\,d^{26}\,e^{10}-4411189120\,A^3\,b^{16}\,c^{20}\,d^{25}\,e^{11}-87084400\,A^3\,b^{17}\,c^{19}\,d^{24}\,e^{12}+3954268032\,A^3\,b^{18}\,c^{18}\,d^{23}\,e^{13}-5135394368\,A^3\,b^{19}\,c^{17}\,d^{22}\,e^{14}+4434262976\,A^3\,b^{20}\,c^{16}\,d^{21}\,e^{15}-4011472080\,A^3\,b^{21}\,c^{15}\,d^{20}\,e^{16}+4506553920\,A^3\,b^{22}\,c^{14}\,d^{19}\,e^{17}-4740529184\,A^3\,b^{23}\,c^{13}\,d^{18}\,e^{18}+3806470656\,A^3\,b^{24}\,c^{12}\,d^{17}\,e^{19}-2198096912\,A^3\,b^{25}\,c^{11}\,d^{16}\,e^{20}+886408960\,A^3\,b^{26}\,c^{10}\,d^{15}\,e^{21}-237886080\,A^3\,b^{27}\,c^9\,d^{14}\,e^{22}+38292800\,A^3\,b^{28}\,c^8\,d^{13}\,e^{23}-2802800\,A^3\,b^{29}\,c^7\,d^{12}\,e^{24}+110592\,B^3\,b^{11}\,c^{25}\,d^{33}\,e^3-1963008\,B^3\,b^{12}\,c^{24}\,d^{32}\,e^4+16183296\,B^3\,b^{13}\,c^{23}\,d^{31}\,e^5-82448000\,B^3\,b^{14}\,c^{22}\,d^{30}\,e^6+291430080\,B^3\,b^{15}\,c^{21}\,d^{29}\,e^7-760810496\,B^3\,b^{16}\,c^{20}\,d^{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\,B^2\,b^{17}\,c^{22}\,d^{33}\,e^5+24555520\,B^2\,b^{16}\,c^{23}\,d^{34}\,e^4-2777088\,B^2\,b^{15}\,c^{24}\,d^{35}\,e^3+147456\,B^2\,b^{14}\,c^{25}\,d^{36}\,e^2\right)-\sqrt{-\frac{20449\,A^2\,b^4\,c^9\,e^4-44616\,A^2\,b^3\,c^{10}\,d\,e^3+38064\,A^2\,b^2\,c^{11}\,d^2\,e^2-14976\,A^2\,b\,c^{12}\,d^3\,e+2304\,A^2\,c^{13}\,d^4-28314\,A\,B\,b^5\,c^8\,e^4+56056\,A\,B\,b^4\,c^9\,d\,e^3-43824\,A\,B\,b^3\,c^{10}\,d^2\,e^2+15936\,A\,B\,b^2\,c^{11}\,d^3\,e-2304\,A\,B\,b\,c^{12}\,d^4+9801\,B^2\,b^6\,c^7\,e^4-17424\,B^2\,b^5\,c^8\,d\,e^3+12496\,B^2\,b^4\,c^9\,d^2\,e^2-4224\,B^2\,b^3\,c^{10}\,d^3\,e+576\,B^2\,b^2\,c^{11}\,d^4}{64\,\left(b^{19}\,e^9-9\,b^{18}\,c\,d\,e^8+36\,b^{17}\,c^2\,d^2\,e^7-84\,b^{16}\,c^3\,d^3\,e^6+126\,b^{15}\,c^4\,d^4\,e^5-126\,b^{14}\,c^5\,d^5\,e^4+84\,b^{13}\,c^6\,d^6\,e^3-36\,b^{12}\,c^7\,d^7\,e^2+9\,b^{11}\,c^8\,d^8\,e-b^{10}\,c^9\,d^9\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{20449\,A^2\,b^4\,c^9\,e^4-44616\,A^2\,b^3\,c^{10}\,d\,e^3+38064\,A^2\,b^2\,c^{11}\,d^2\,e^2-14976\,A^2\,b\,c^{12}\,d^3\,e+2304\,A^2\,c^{13}\,d^4-28314\,A\,B\,b^5\,c^8\,e^4+56056\,A\,B\,b^4\,c^9\,d\,e^3-43824\,A\,B\,b^3\,c^{10}\,d^2\,e^2+15936\,A\,B\,b^2\,c^{11}\,d^3\,e-2304\,A\,B\,b\,c^{12}\,d^4+9801\,B^2\,b^6\,c^7\,e^4-17424\,B^2\,b^5\,c^8\,d\,e^3+12496\,B^2\,b^4\,c^9\,d^2\,e^2-4224\,B^2\,b^3\,c^{10}\,d^3\,e+576\,B^2\,b^2\,c^{11}\,d^4}{64\,\left(b^{19}\,e^9-9\,b^{18}\,c\,d\,e^8+36\,b^{17}\,c^2\,d^2\,e^7-84\,b^{16}\,c^3\,d^3\,e^6+126\,b^{15}\,c^4\,d^4\,e^5-126\,b^{14}\,c^5\,d^5\,e^4+84\,b^{13}\,c^6\,d^6\,e^3-36\,b^{12}\,c^7\,d^7\,e^2+9\,b^{11}\,c^8\,d^8\,e-b^{10}\,c^9\,d^9\right)}}\,\left(-8192\,b^{43}\,c^2\,d^{20}\,e^{23}+180224\,b^{42}\,c^3\,d^{21}\,e^{22}-1884160\,b^{41}\,c^4\,d^{22}\,e^{21}+12451840\,b^{40}\,c^5\,d^{23}\,e^{20}-58368000\,b^{39}\,c^6\,d^{24}\,e^{19}+206389248\,b^{38}\,c^7\,d^{25}\,e^{18}-571539456\,b^{37}\,c^8\,d^{26}\,e^{17}+1270087680\,b^{36}\,c^9\,d^{27}\,e^{16}-2302033920\,b^{35}\,c^{10}\,d^{28}\,e^{15}+3439820800\,b^{34}\,c^{11}\,d^{29}\,e^{14}-4265377792\,b^{33}\,c^{12}\,d^{30}\,e^{13}+4402970624\,b^{32}\,c^{13}\,d^{31}\,e^{12}-3783802880\,b^{31}\,c^{14}\,d^{32}\,e^{11}+2698936320\,b^{30}\,c^{15}\,d^{33}\,e^{10}-1587609600\,b^{29}\,c^{16}\,d^{34}\,e^9+762052608\,b^{28}\,c^{17}\,d^{35}\,e^8-293707776\,b^{27}\,c^{18}\,d^{36}\,e^7+88719360\,b^{26}\,c^{19}\,d^{37}\,e^6-20234240\,b^{25}\,c^{20}\,d^{38}\,e^5+3276800\,b^{24}\,c^{21}\,d^{39}\,e^4-335872\,b^{23}\,c^{22}\,d^{40}\,e^3+16384\,b^{22}\,c^{23}\,d^{41}\,e^2\right)-24576\,A\,b^{18}\,c^{24}\,d^{38}\,e^3+466944\,A\,b^{19}\,c^{23}\,d^{37}\,e^4-4185088\,A\,b^{20}\,c^{22}\,d^{36}\,e^5+23500800\,A\,b^{21}\,c^{21}\,d^{35}\,e^6-92710912\,A\,b^{22}\,c^{20}\,d^{34}\,e^7+273566720\,A\,b^{23}\,c^{19}\,d^{33}\,e^8-629578752\,A\,b^{24}\,c^{18}\,d^{32}\,e^9+1169833984\,A\,b^{25}\,c^{17}\,d^{31}\,e^{10}-1818910720\,A\,b^{26}\,c^{16}\,d^{30}\,e^{11}+2465058816\,A\,b^{27}\,c^{15}\,d^{29}\,e^{12}-3031169024\,A\,b^{28}\,c^{14}\,d^{28}\,e^{13}+3457871872\,A\,b^{29}\,c^{13}\,d^{27}\,e^{14}-3626348544\,A\,b^{30}\,c^{12}\,d^{26}\,e^{15}+3385559040\,A\,b^{31}\,c^{11}\,d^{25}\,e^{16}-2714064896\,A\,b^{32}\,c^{10}\,d^{24}\,e^{17}+1813512192\,A\,b^{33}\,c^9\,d^{23}\,e^{18}-986251264\,A\,b^{34}\,c^8\,d^{22}\,e^{19}+426815488\,A\,b^{35}\,c^7\,d^{21}\,e^{20}-143109120\,A\,b^{36}\,c^6\,d^{20}\,e^{21}+35796992\,A\,b^{37}\,c^5\,d^{19}\,e^{22}-6285312\,A\,b^{38}\,c^4\,d^{18}\,e^{23}+691200\,A\,b^{39}\,c^3\,d^{17}\,e^{24}-35840\,A\,b^{40}\,c^2\,d^{16}\,e^{25}+12288\,B\,b^{19}\,c^{23}\,d^{38}\,e^3-238592\,B\,b^{20}\,c^{22}\,d^{37}\,e^4+2187264\,B\,b^{21}\,c^{21}\,d^{36}\,e^5-12492800\,B\,b^{22}\,c^{20}\,d^{35}\,e^6+49401856\,B\,b^{23}\,c^{19}\,d^{34}\,e^7-141926400\,B\,b^{24}\,c^{18}\,d^{33}\,e^8+300793856\,B\,b^{25}\,c^{17}\,d^{32}\,e^9-460562432\,B\,b^{26}\,c^{16}\,d^{31}\,e^{10}+455516160\,B\,b^{27}\,c^{15}\,d^{30}\,e^{11}-116267008\,B\,b^{28}\,c^{14}\,d^{29}\,e^{12}-543981568\,B\,b^{29}\,c^{13}\,d^{28}\,e^{13}+1250156544\,B\,b^{30}\,c^{12}\,d^{27}\,e^{14}-1639292928\,B\,b^{31}\,c^{11}\,d^{26}\,e^{15}+1547694080\,B\,b^{32}\,c^{10}\,d^{25}\,e^{16}-1115799552\,B\,b^{33}\,c^9\,d^{24}\,e^{17}+624861184\,B\,b^{34}\,c^8\,d^{23}\,e^{18}-271372288\,B\,b^{35}\,c^7\,d^{22}\,e^{19}+89988096\,B\,b^{36}\,c^6\,d^{21}\,e^{20}-22077440\,B\,b^{37}\,c^5\,d^{20}\,e^{21}+3784704\,B\,b^{38}\,c^4\,d^{19}\,e^{22}-405504\,B\,b^{39}\,c^3\,d^{18}\,e^{23}+20480\,B\,b^{40}\,c^2\,d^{17}\,e^{24}\right)\right)\,\sqrt{-\frac{20449\,A^2\,b^4\,c^9\,e^4-44616\,A^2\,b^3\,c^{10}\,d\,e^3+38064\,A^2\,b^2\,c^{11}\,d^2\,e^2-14976\,A^2\,b\,c^{12}\,d^3\,e+2304\,A^2\,c^{13}\,d^4-28314\,A\,B\,b^5\,c^8\,e^4+56056\,A\,B\,b^4\,c^9\,d\,e^3-43824\,A\,B\,b^3\,c^{10}\,d^2\,e^2+15936\,A\,B\,b^2\,c^{11}\,d^3\,e-2304\,A\,B\,b\,c^{12}\,d^4+9801\,B^2\,b^6\,c^7\,e^4-17424\,B^2\,b^5\,c^8\,d\,e^3+12496\,B^2\,b^4\,c^9\,d^2\,e^2-4224\,B^2\,b^3\,c^{10}\,d^3\,e+576\,B^2\,b^2\,c^{11}\,d^4}{64\,\left(b^{19}\,e^9-9\,b^{18}\,c\,d\,e^8+36\,b^{17}\,c^2\,d^2\,e^7-84\,b^{16}\,c^3\,d^3\,e^6+126\,b^{15}\,c^4\,d^4\,e^5-126\,b^{14}\,c^5\,d^5\,e^4+84\,b^{13}\,c^6\,d^6\,e^3-36\,b^{12}\,c^7\,d^7\,e^2+9\,b^{11}\,c^8\,d^8\,e-b^{10}\,c^9\,d^9\right)}}-\left(\sqrt{d+e\,x}\,\left(156800\,A^2\,b^{36}\,c^3\,d^{12}\,e^{26}-2598400\,A^2\,b^{35}\,c^4\,d^{13}\,e^{25}+19930880\,A^2\,b^{34}\,c^5\,d^{14}\,e^{24}-93688320\,A^2\,b^{33}\,c^6\,d^{15}\,e^{23}+301648512\,A^2\,b^{32}\,c^7\,d^{16}\,e^{22}-707773440\,A^2\,b^{31}\,c^8\,d^{17}\,e^{21}+1274465280\,A^2\,b^{30}\,c^9\,d^{18}\,e^{20}-1894041600\,A^2\,b^{29}\,c^{10}\,d^{19}\,e^{19}+2608529792\,A^2\,b^{28}\,c^{11}\,d^{20}\,e^{18}-3708136960\,A^2\,b^{27}\,c^{12}\,d^{21}\,e^{17}+5421597440\,A^2\,b^{26}\,c^{13}\,d^{22}\,e^{16}-7643066880\,A^2\,b^{25}\,c^{14}\,d^{23}\,e^{15}+10265639040\,A^2\,b^{24}\,c^{15}\,d^{24}\,e^{14}-13484230656\,A^2\,b^{23}\,c^{16}\,d^{25}\,e^{13}+17074641408\,A^2\,b^{22}\,c^{17}\,d^{26}\,e^{12}-19535324160\,A^2\,b^{21}\,c^{18}\,d^{27}\,e^{11}+18936107520\,A^2\,b^{20}\,c^{19}\,d^{28}\,e^{10}-14937190400\,A^2\,b^{19}\,c^{20}\,d^{29}\,e^9+9364822016\,A^2\,b^{18}\,c^{21}\,d^{30}\,e^8-4579446784\,A^2\,b^{17}\,c^{22}\,d^{31}\,e^7+1707439360\,A^2\,b^{16}\,c^{23}\,d^{32}\,e^6-468971520\,A^2\,b^{15}\,c^{24}\,d^{33}\,e^5+89518080\,A^2\,b^{14}\,c^{25}\,d^{34}\,e^4-10616832\,A^2\,b^{13}\,c^{26}\,d^{35}\,e^3+589824\,A^2\,b^{12}\,c^{27}\,d^{36}\,e^2-179200\,A\,B\,b^{36}\,c^3\,d^{13}\,e^{25}+3061760\,A\,B\,b^{35}\,c^4\,d^{14}\,e^{24}-24217600\,A\,B\,b^{34}\,c^5\,d^{15}\,e^{23}+117055488\,A\,B\,b^{33}\,c^6\,d^{16}\,e^{22}-383708160\,A\,B\,b^{32}\,c^7\,d^{17}\,e^{21}+892446720\,A\,B\,b^{31}\,c^8\,d^{18}\,e^{20}-1489551360\,A\,B\,b^{30}\,c^9\,d^{19}\,e^{19}+1742746368\,A\,B\,b^{29}\,c^{10}\,d^{20}\,e^{18}-1280942080\,A\,B\,b^{28}\,c^{11}\,d^{21}\,e^{17}+178449920\,A\,B\,b^{27}\,c^{12}\,d^{22}\,e^{16}+1413002240\,A\,B\,b^{26}\,c^{13}\,d^{23}\,e^{15}-4111491840\,A\,B\,b^{25}\,c^{14}\,d^{24}\,e^{14}+8955257856\,A\,B\,b^{24}\,c^{15}\,d^{25}\,e^{13}-15463523328\,A\,B\,b^{23}\,c^{16}\,d^{26}\,e^{12}+20693207040\,A\,B\,b^{22}\,c^{17}\,d^{27}\,e^{11}-21406851840\,A\,B\,b^{21}\,c^{18}\,d^{28}\,e^{10}+17186104320\,A\,B\,b^{20}\,c^{19}\,d^{29}\,e^9-10713545216\,A\,B\,b^{19}\,c^{20}\,d^{30}\,e^8+5151263744\,A\,B\,b^{18}\,c^{21}\,d^{31}\,e^7-1878764800\,A\,B\,b^{17}\,c^{22}\,d^{32}\,e^6+503726080\,A\,B\,b^{16}\,c^{23}\,d^{33}\,e^5-93818880\,A\,B\,b^{15}\,c^{24}\,d^{34}\,e^4+10862592\,A\,B\,b^{14}\,c^{25}\,d^{35}\,e^3-589824\,A\,B\,b^{13}\,c^{26}\,d^{36}\,e^2+51200\,B^2\,b^{36}\,c^3\,d^{14}\,e^{24}-901120\,B^2\,b^{35}\,c^4\,d^{15}\,e^{23}+7344128\,B^2\,b^{34}\,c^5\,d^{16}\,e^{22}-36495360\,B^2\,b^{33}\,c^6\,d^{17}\,e^{21}+121989120\,B^2\,b^{32}\,c^7\,d^{18}\,e^{20}-282501120\,B^2\,b^{31}\,c^8\,d^{19}\,e^{19}+437847168\,B^2\,b^{30}\,c^9\,d^{20}\,e^{18}-366558720\,B^2\,b^{29}\,c^{10}\,d^{21}\,e^{17}-107134720\,B^2\,b^{28}\,c^{11}\,d^{22}\,e^{16}+721318400\,B^2\,b^{27}\,c^{12}\,d^{23}\,e^{15}-668122240\,B^2\,b^{26}\,c^{13}\,d^{24}\,e^{14}-766116864\,B^2\,b^{25}\,c^{14}\,d^{25}\,e^{13}+3273549312\,B^2\,b^{24}\,c^{15}\,d^{26}\,e^{12}-5478190080\,B^2\,b^{23}\,c^{16}\,d^{27}\,e^{11}+6076371840\,B^2\,b^{22}\,c^{17}\,d^{28}\,e^{10}-4951119360\,B^2\,b^{21}\,c^{18}\,d^{29}\,e^9+3062171904\,B^2\,b^{20}\,c^{19}\,d^{30}\,e^8-1446258176\,B^2\,b^{19}\,c^{20}\,d^{31}\,e^7+515884160\,B^2\,b^{18}\,c^{21}\,d^{32}\,e^6-135055360\,B^2\,b^{17}\,c^{22}\,d^{33}\,e^5+24555520\,B^2\,b^{16}\,c^{23}\,d^{34}\,e^4-2777088\,B^2\,b^{15}\,c^{24}\,d^{35}\,e^3+147456\,B^2\,b^{14}\,c^{25}\,d^{36}\,e^2\right)-\sqrt{-\frac{20449\,A^2\,b^4\,c^9\,e^4-44616\,A^2\,b^3\,c^{10}\,d\,e^3+38064\,A^2\,b^2\,c^{11}\,d^2\,e^2-14976\,A^2\,b\,c^{12}\,d^3\,e+2304\,A^2\,c^{13}\,d^4-28314\,A\,B\,b^5\,c^8\,e^4+56056\,A\,B\,b^4\,c^9\,d\,e^3-43824\,A\,B\,b^3\,c^{10}\,d^2\,e^2+15936\,A\,B\,b^2\,c^{11}\,d^3\,e-2304\,A\,B\,b\,c^{12}\,d^4+9801\,B^2\,b^6\,c^7\,e^4-17424\,B^2\,b^5\,c^8\,d\,e^3+12496\,B^2\,b^4\,c^9\,d^2\,e^2-4224\,B^2\,b^3\,c^{10}\,d^3\,e+576\,B^2\,b^2\,c^{11}\,d^4}{64\,\left(b^{19}\,e^9-9\,b^{18}\,c\,d\,e^8+36\,b^{17}\,c^2\,d^2\,e^7-84\,b^{16}\,c^3\,d^3\,e^6+126\,b^{15}\,c^4\,d^4\,e^5-126\,b^{14}\,c^5\,d^5\,e^4+84\,b^{13}\,c^6\,d^6\,e^3-36\,b^{12}\,c^7\,d^7\,e^2+9\,b^{11}\,c^8\,d^8\,e-b^{10}\,c^9\,d^9\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{20449\,A^2\,b^4\,c^9\,e^4-44616\,A^2\,b^3\,c^{10}\,d\,e^3+38064\,A^2\,b^2\,c^{11}\,d^2\,e^2-14976\,A^2\,b\,c^{12}\,d^3\,e+2304\,A^2\,c^{13}\,d^4-28314\,A\,B\,b^5\,c^8\,e^4+56056\,A\,B\,b^4\,c^9\,d\,e^3-43824\,A\,B\,b^3\,c^{10}\,d^2\,e^2+15936\,A\,B\,b^2\,c^{11}\,d^3\,e-2304\,A\,B\,b\,c^{12}\,d^4+9801\,B^2\,b^6\,c^7\,e^4-17424\,B^2\,b^5\,c^8\,d\,e^3+12496\,B^2\,b^4\,c^9\,d^2\,e^2-4224\,B^2\,b^3\,c^{10}\,d^3\,e+576\,B^2\,b^2\,c^{11}\,d^4}{64\,\left(b^{19}\,e^9-9\,b^{18}\,c\,d\,e^8+36\,b^{17}\,c^2\,d^2\,e^7-84\,b^{16}\,c^3\,d^3\,e^6+126\,b^{15}\,c^4\,d^4\,e^5-126\,b^{14}\,c^5\,d^5\,e^4+84\,b^{13}\,c^6\,d^6\,e^3-36\,b^{12}\,c^7\,d^7\,e^2+9\,b^{11}\,c^8\,d^8\,e-b^{10}\,c^9\,d^9\right)}}\,\left(-8192\,b^{43}\,c^2\,d^{20}\,e^{23}+180224\,b^{42}\,c^3\,d^{21}\,e^{22}-1884160\,b^{41}\,c^4\,d^{22}\,e^{21}+12451840\,b^{40}\,c^5\,d^{23}\,e^{20}-583680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2304*A*B*b*c^12*d^4 + 15936*A*B*b^2*c^11*d^3*e + 56056*A*B*b^4*c^9*d*e^3 - 43824*A*B*b^3*c^10*d^2*e^2)/(64*(b^19*e^9 - b^10*c^9*d^9 + 9*b^11*c^8*d^8*e - 36*b^12*c^7*d^7*e^2 + 84*b^13*c^6*d^6*e^3 - 126*b^14*c^5*d^5*e^4 + 126*b^15*c^4*d^4*e^5 - 84*b^16*c^3*d^3*e^6 + 36*b^17*c^2*d^2*e^7 - 9*b^18*c*d*e^8)))^(1/2)*(16384*b^22*c^23*d^41*e^2 - 335872*b^23*c^22*d^40*e^3 + 3276800*b^24*c^21*d^39*e^4 - 20234240*b^25*c^20*d^38*e^5 + 88719360*b^26*c^19*d^37*e^6 - 293707776*b^27*c^18*d^36*e^7 + 762052608*b^28*c^17*d^35*e^8 - 1587609600*b^29*c^16*d^34*e^9 + 2698936320*b^30*c^15*d^33*e^10 - 3783802880*b^31*c^14*d^32*e^11 + 4402970624*b^32*c^13*d^31*e^12 - 4265377792*b^33*c^12*d^30*e^13 + 3439820800*b^34*c^11*d^29*e^14 - 2302033920*b^35*c^10*d^28*e^15 + 1270087680*b^36*c^9*d^27*e^16 - 571539456*b^37*c^8*d^26*e^17 + 206389248*b^38*c^7*d^25*e^18 - 58368000*b^39*c^6*d^24*e^19 + 12451840*b^40*c^5*d^23*e^20 - 1884160*b^41*c^4*d^22*e^21 + 180224*b^42*c^3*d^21*e^22 - 8192*b^43*c^2*d^20*e^23) + 24576*A*b^18*c^24*d^38*e^3 - 466944*A*b^19*c^23*d^37*e^4 + 4185088*A*b^20*c^22*d^36*e^5 - 23500800*A*b^21*c^21*d^35*e^6 + 92710912*A*b^22*c^20*d^34*e^7 - 273566720*A*b^23*c^19*d^33*e^8 + 629578752*A*b^24*c^18*d^32*e^9 - 1169833984*A*b^25*c^17*d^31*e^10 + 1818910720*A*b^26*c^16*d^30*e^11 - 2465058816*A*b^27*c^15*d^29*e^12 + 3031169024*A*b^28*c^14*d^28*e^13 - 3457871872*A*b^29*c^13*d^27*e^14 + 3626348544*A*b^30*c^12*d^26*e^15 - 3385559040*A*b^31*c^11*d^25*e^16 + 2714064896*A*b^32*c^10*d^24*e^17 - 1813512192*A*b^33*c^9*d^23*e^18 + 986251264*A*b^34*c^8*d^22*e^19 - 426815488*A*b^35*c^7*d^21*e^20 + 143109120*A*b^36*c^6*d^20*e^21 - 35796992*A*b^37*c^5*d^19*e^22 + 6285312*A*b^38*c^4*d^18*e^23 - 691200*A*b^39*c^3*d^17*e^24 + 35840*A*b^40*c^2*d^16*e^25 - 12288*B*b^19*c^23*d^38*e^3 + 238592*B*b^20*c^22*d^37*e^4 - 2187264*B*b^21*c^21*d^36*e^5 + 12492800*B*b^22*c^20*d^35*e^6 - 49401856*B*b^23*c^19*d^34*e^7 + 141926400*B*b^24*c^18*d^33*e^8 - 300793856*B*b^25*c^17*d^32*e^9 + 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38064*A^2*b^2*c^11*d^2*e^2 + 12496*B^2*b^4*c^9*d^2*e^2 - 28314*A*B*b^5*c^8*e^4 - 14976*A^2*b*c^12*d^3*e - 44616*A^2*b^3*c^10*d*e^3 - 4224*B^2*b^3*c^10*d^3*e - 17424*B^2*b^5*c^8*d*e^3 - 2304*A*B*b*c^12*d^4 + 15936*A*B*b^2*c^11*d^3*e + 56056*A*B*b^4*c^9*d*e^3 - 43824*A*B*b^3*c^10*d^2*e^2)/(64*(b^19*e^9 - b^10*c^9*d^9 + 9*b^11*c^8*d^8*e - 36*b^12*c^7*d^7*e^2 + 84*b^13*c^6*d^6*e^3 - 126*b^14*c^5*d^5*e^4 + 126*b^15*c^4*d^4*e^5 - 84*b^16*c^3*d^3*e^6 + 36*b^17*c^2*d^2*e^7 - 9*b^18*c*d*e^8)))^(1/2)*(16384*b^22*c^23*d^41*e^2 - 335872*b^23*c^22*d^40*e^3 + 3276800*b^24*c^21*d^39*e^4 - 20234240*b^25*c^20*d^38*e^5 + 88719360*b^26*c^19*d^37*e^6 - 293707776*b^27*c^18*d^36*e^7 + 762052608*b^28*c^17*d^35*e^8 - 1587609600*b^29*c^16*d^34*e^9 + 2698936320*b^30*c^15*d^33*e^10 - 3783802880*b^31*c^14*d^32*e^11 + 4402970624*b^32*c^13*d^31*e^12 - 4265377792*b^33*c^12*d^30*e^13 + 3439820800*b^34*c^11*d^29*e^14 - 2302033920*b^35*c^10*d^28*e^15 + 1270087680*b^36*c^9*d^27*e^16 - 571539456*b^37*c^8*d^26*e^17 + 206389248*b^38*c^7*d^25*e^18 - 58368000*b^39*c^6*d^24*e^19 + 12451840*b^40*c^5*d^23*e^20 - 1884160*b^41*c^4*d^22*e^21 + 180224*b^42*c^3*d^21*e^22 - 8192*b^43*c^2*d^20*e^23) + 24576*A*b^18*c^24*d^38*e^3 - 466944*A*b^19*c^23*d^37*e^4 + 4185088*A*b^20*c^22*d^36*e^5 - 23500800*A*b^21*c^21*d^35*e^6 + 92710912*A*b^22*c^20*d^34*e^7 - 273566720*A*b^23*c^19*d^33*e^8 + 629578752*A*b^24*c^18*d^32*e^9 - 1169833984*A*b^25*c^17*d^31*e^10 + 1818910720*A*b^26*c^16*d^30*e^11 - 2465058816*A*b^27*c^15*d^29*e^12 + 3031169024*A*b^28*c^14*d^28*e^13 - 3457871872*A*b^29*c^13*d^27*e^14 + 3626348544*A*b^30*c^12*d^26*e^15 - 3385559040*A*b^31*c^11*d^25*e^16 + 2714064896*A*b^32*c^10*d^24*e^17 - 1813512192*A*b^33*c^9*d^23*e^18 + 986251264*A*b^34*c^8*d^22*e^19 - 426815488*A*b^35*c^7*d^21*e^20 + 143109120*A*b^36*c^6*d^20*e^21 - 35796992*A*b^37*c^5*d^19*e^22 + 6285312*A*b^38*c^4*d^18*e^23 - 691200*A*b^39*c^3*d^17*e^24 + 35840*A*b^40*c^2*d^16*e^25 - 12288*B*b^19*c^23*d^38*e^3 + 238592*B*b^20*c^22*d^37*e^4 - 2187264*B*b^21*c^21*d^36*e^5 + 12492800*B*b^22*c^20*d^35*e^6 - 49401856*B*b^23*c^19*d^34*e^7 + 141926400*B*b^24*c^18*d^33*e^8 - 300793856*B*b^25*c^17*d^32*e^9 + 460562432*B*b^26*c^16*d^31*e^10 - 455516160*B*b^27*c^15*d^30*e^11 + 116267008*B*b^28*c^14*d^29*e^12 + 543981568*B*b^29*c^13*d^28*e^13 - 1250156544*B*b^30*c^12*d^27*e^14 + 1639292928*B*b^31*c^11*d^26*e^15 - 1547694080*B*b^32*c^10*d^25*e^16 + 1115799552*B*b^33*c^9*d^24*e^17 - 624861184*B*b^34*c^8*d^23*e^18 + 271372288*B*b^35*c^7*d^22*e^19 - 89988096*B*b^36*c^6*d^21*e^20 + 22077440*B*b^37*c^5*d^20*e^21 - 3784704*B*b^38*c^4*d^19*e^22 + 405504*B*b^39*c^3*d^18*e^23 - 20480*B*b^40*c^2*d^17*e^24))*(-(2304*A^2*c^13*d^4 + 20449*A^2*b^4*c^9*e^4 + 576*B^2*b^2*c^11*d^4 + 9801*B^2*b^6*c^7*e^4 + 38064*A^2*b^2*c^11*d^2*e^2 + 12496*B^2*b^4*c^9*d^2*e^2 - 28314*A*B*b^5*c^8*e^4 - 14976*A^2*b*c^12*d^3*e - 44616*A^2*b^3*c^10*d*e^3 - 4224*B^2*b^3*c^10*d^3*e - 17424*B^2*b^5*c^8*d*e^3 - 2304*A*B*b*c^12*d^4 + 15936*A*B*b^2*c^11*d^3*e + 56056*A*B*b^4*c^9*d*e^3 - 43824*A*B*b^3*c^10*d^2*e^2)/(64*(b^19*e^9 - b^10*c^9*d^9 + 9*b^11*c^8*d^8*e - 36*b^12*c^7*d^7*e^2 + 84*b^13*c^6*d^6*e^3 - 126*b^14*c^5*d^5*e^4 + 126*b^15*c^4*d^4*e^5 - 84*b^16*c^3*d^3*e^6 + 36*b^17*c^2*d^2*e^7 - 9*b^18*c*d*e^8)))^(1/2) - 1769472*A^3*b^8*c^28*d^33*e^3 + 29196288*A^3*b^9*c^27*d^32*e^4 - 222621696*A^3*b^10*c^26*d^31*e^5 + 1037076480*A^3*b^11*c^25*d^30*e^6 - 3281114880*A^3*b^12*c^24*d^29*e^7 + 7384738176*A^3*b^13*c^23*d^28*e^8 - 11940731264*A^3*b^14*c^22*d^27*e^9 + 13391621568*A^3*b^15*c^21*d^26*e^10 - 8822378240*A^3*b^16*c^20*d^25*e^11 - 174168800*A^3*b^17*c^19*d^24*e^12 + 7908536064*A^3*b^18*c^18*d^23*e^13 - 10270788736*A^3*b^19*c^17*d^22*e^14 + 8868525952*A^3*b^20*c^16*d^21*e^15 - 8022944160*A^3*b^21*c^15*d^20*e^16 + 9013107840*A^3*b^22*c^14*d^19*e^17 - 9481058368*A^3*b^23*c^13*d^18*e^18 + 7612941312*A^3*b^24*c^12*d^17*e^19 - 4396193824*A^3*b^25*c^11*d^16*e^20 + 1772817920*A^3*b^26*c^10*d^15*e^21 - 475772160*A^3*b^27*c^9*d^14*e^22 + 76585600*A^3*b^28*c^8*d^13*e^23 - 5605600*A^3*b^29*c^7*d^12*e^24 + 221184*B^3*b^11*c^25*d^33*e^3 - 3926016*B^3*b^12*c^24*d^32*e^4 + 32366592*B^3*b^13*c^23*d^31*e^5 - 164896000*B^3*b^14*c^22*d^30*e^6 + 582860160*B^3*b^15*c^21*d^29*e^7 - 1521620992*B^3*b^16*c^20*d^28*e^8 + 3046416128*B^3*b^17*c^19*d^27*e^9 - 4775206656*B^3*b^18*c^18*d^26*e^10 + 5868734080*B^3*b^19*c^17*d^25*e^11 - 5470136320*B^3*b^20*c^16*d^24*e^12 + 3377797632*B^3*b^21*c^15*d^23*e^13 - 415972608*B^3*b^22*c^14*d^22*e^14 - 1985838464*B^3*b^23*c^13*d^21*e^15 + 2839818240*B^3*b^24*c^12*d^20*e^16 - 2295415040*B^3*b^25*c^11*d^19*e^17 + 1258898176*B^3*b^26*c^10*d^18*e^18 - 477861504*B^3*b^27*c^9*d^17*e^19 + 120854528*B^3*b^28*c^8*d^16*e^20 - 18360320*B^3*b^29*c^7*d^15*e^21 + 1267200*B^3*b^30*c^6*d^14*e^22 - 1327104*A*B^2*b^10*c^26*d^33*e^3 + 23003136*A*B^2*b^11*c^25*d^32*e^4 - 184891392*A*B^2*b^12*c^24*d^31*e^5 + 915217920*A*B^2*b^13*c^23*d^30*e^6 - 3123922560*A*B^2*b^14*c^22*d^29*e^7 + 7795266912*A*B^2*b^15*c^21*d^28*e^8 - 14683820928*A*B^2*b^16*c^20*d^27*e^9 + 21169857216*A*B^2*b^17*c^19*d^26*e^10 - 23230183680*A*B^2*b^18*c^18*d^25*e^11 + 18702610080*A*B^2*b^19*c^17*d^24*e^12 - 9899526912*A*B^2*b^20*c^16*d^23*e^13 + 2305438848*A*B^2*b^21*c^15*d^22*e^14 + 70959744*A*B^2*b^22*c^14*d^21*e^15 + 1974487200*A*B^2*b^23*c^13*d^20*e^16 - 4476113280*A*B^2*b^24*c^12*d^19*e^17 + 4700186304*A*B^2*b^25*c^11*d^18*e^18 - 3063277056*A*B^2*b^26*c^10*d^17*e^19 + 1316718432*A*B^2*b^27*c^9*d^16*e^20 - 366397440*A*B^2*b^28*c^8*d^15*e^21 + 60149760*A*B^2*b^29*c^7*d^14*e^22 - 4435200*A*B^2*b^30*c^6*d^13*e^23 + 2654208*A^2*B*b^9*c^27*d^33*e^3 - 44900352*A^2*B*b^10*c^26*d^32*e^4 + 351627264*A^2*B*b^11*c^25*d^31*e^5 - 1689454080*A^2*B*b^12*c^24*d^30*e^6 + 5557921920*A^2*B*b^13*c^23*d^29*e^7 - 13203598944*A^2*B*b^14*c^22*d^28*e^8 + 23187902976*A^2*B*b^15*c^21*d^27*e^9 - 30060446592*A^2*B*b^16*c^20*d^26*e^10 + 27711116160*A^2*B*b^17*c^19*d^25*e^11 - 15946476480*A^2*B*b^18*c^18*d^24*e^12 + 2660427264*A^2*B*b^19*c^17*d^23*e^13 + 2948815104*A^2*B*b^20*c^16*d^22*e^14 + 560587392*A^2*B*b^21*c^15*d^21*e^15 - 6378785280*A^2*B*b^22*c^14*d^20*e^16 + 7823884800*A^2*B*b^23*c^13*d^19*e^17 - 4720480128*A^2*B*b^24*c^12*d^18*e^18 + 1069433472*A^2*B*b^25*c^11*d^17*e^19 + 565023936*A^2*B*b^26*c^10*d^16*e^20 - 581644800*A^2*B*b^27*c^9*d^15*e^21 + 228341760*A^2*B*b^28*c^8*d^14*e^22 - 45830400*A^2*B*b^29*c^7*d^13*e^23 + 3880800*A^2*B*b^30*c^6*d^12*e^24))*(-(2304*A^2*c^13*d^4 + 20449*A^2*b^4*c^9*e^4 + 576*B^2*b^2*c^11*d^4 + 9801*B^2*b^6*c^7*e^4 + 38064*A^2*b^2*c^11*d^2*e^2 + 12496*B^2*b^4*c^9*d^2*e^2 - 28314*A*B*b^5*c^8*e^4 - 14976*A^2*b*c^12*d^3*e - 44616*A^2*b^3*c^10*d*e^3 - 4224*B^2*b^3*c^10*d^3*e - 17424*B^2*b^5*c^8*d*e^3 - 2304*A*B*b*c^12*d^4 + 15936*A*B*b^2*c^11*d^3*e + 56056*A*B*b^4*c^9*d*e^3 - 43824*A*B*b^3*c^10*d^2*e^2)/(64*(b^19*e^9 - b^10*c^9*d^9 + 9*b^11*c^8*d^8*e - 36*b^12*c^7*d^7*e^2 + 84*b^13*c^6*d^6*e^3 - 126*b^14*c^5*d^5*e^4 + 126*b^15*c^4*d^4*e^5 - 84*b^16*c^3*d^3*e^6 + 36*b^17*c^2*d^2*e^7 - 9*b^18*c*d*e^8)))^(1/2)*2i","B"
1255,0,-1,433,0.000000,"\text{Not used}","int((b*x + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2),x)","\int \sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)\,\sqrt{d+e\,x} \,d x","Not used",1,"int((b*x + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2), x)","F"
1256,0,-1,318,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(1/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(1/2), x)","F"
1257,0,-1,283,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(3/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(3/2), x)","F"
1258,0,-1,346,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(5/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(5/2), x)","F"
1259,0,-1,494,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(7/2),x)","\int \frac{\sqrt{c\,x^2+b\,x}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(7/2), x)","F"
1260,0,-1,574,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(1/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(1/2), x)","F"
1261,0,-1,449,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(3/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(3/2), x)","F"
1262,0,-1,413,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(5/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(5/2), x)","F"
1263,0,-1,516,0.000000,"\text{Not used}","int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(7/2),x)","\int \frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((b*x + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(7/2), x)","F"
1264,0,-1,460,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(1/2), x)","F"
1265,0,-1,339,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(1/2), x)","F"
1266,0,-1,254,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{\sqrt{c\,x^2+b\,x}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(1/2), x)","F"
1267,0,-1,204,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(1/2)), x)","F"
1268,0,-1,262,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(3/2)), x)","F"
1269,0,-1,369,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(5/2)), x)","F"
1270,0,-1,510,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(7/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+b\,x}\,{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(1/2)*(d + e*x)^(7/2)), x)","F"
1271,0,-1,527,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^(3/2), x)","F"
1272,0,-1,399,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(3/2), x)","F"
1273,0,-1,295,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(3/2), x)","F"
1274,0,-1,253,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+b\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(3/2), x)","F"
1275,0,-1,295,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(1/2)), x)","F"
1276,0,-1,415,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(3/2)), x)","F"
1277,0,-1,570,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{3/2}\,{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(3/2)*(d + e*x)^(5/2)), x)","F"
1278,0,-1,524,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(7/2))/(b*x + c*x^2)^(5/2), x)","F"
1279,0,-1,454,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(b*x + c*x^2)^(5/2), x)","F"
1280,0,-1,410,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(b*x + c*x^2)^(5/2), x)","F"
1281,0,-1,420,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+b\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(b*x + c*x^2)^(5/2), x)","F"
1282,0,-1,543,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{5/2}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^(1/2)), x)","F"
1283,0,-1,706,0.000000,"\text{Not used}","int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+b\,x\right)}^{5/2}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((b*x + c*x^2)^(5/2)*(d + e*x)^(3/2)), x)","F"
1284,1,231,108,0.122519,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^5,x)","x^5\,\left(B\,c\,d^4\,e+2\,A\,c\,d^3\,e^2+2\,B\,a\,d^2\,e^3+A\,a\,d\,e^4\right)+x^3\,\left(\frac{A\,c\,d^5}{3}+\frac{5\,B\,a\,d^4\,e}{3}+\frac{10\,A\,a\,d^3\,e^2}{3}\right)+x^7\,\left(\frac{10\,B\,c\,d^2\,e^3}{7}+\frac{5\,A\,c\,d\,e^4}{7}+\frac{B\,a\,e^5}{7}\right)+x^4\,\left(\frac{B\,c\,d^5}{4}+\frac{5\,A\,c\,d^4\,e}{4}+\frac{5\,B\,a\,d^3\,e^2}{2}+\frac{5\,A\,a\,d^2\,e^3}{2}\right)+x^6\,\left(\frac{5\,B\,c\,d^3\,e^2}{3}+\frac{5\,A\,c\,d^2\,e^3}{3}+\frac{5\,B\,a\,d\,e^4}{6}+\frac{A\,a\,e^5}{6}\right)+A\,a\,d^5\,x+\frac{B\,c\,e^5\,x^9}{9}+\frac{a\,d^4\,x^2\,\left(5\,A\,e+B\,d\right)}{2}+\frac{c\,e^4\,x^8\,\left(A\,e+5\,B\,d\right)}{8}","Not used",1,"x^5*(A*a*d*e^4 + B*c*d^4*e + 2*B*a*d^2*e^3 + 2*A*c*d^3*e^2) + x^3*((A*c*d^5)/3 + (5*B*a*d^4*e)/3 + (10*A*a*d^3*e^2)/3) + x^7*((B*a*e^5)/7 + (5*A*c*d*e^4)/7 + (10*B*c*d^2*e^3)/7) + x^4*((B*c*d^5)/4 + (5*A*c*d^4*e)/4 + (5*A*a*d^2*e^3)/2 + (5*B*a*d^3*e^2)/2) + x^6*((A*a*e^5)/6 + (5*B*a*d*e^4)/6 + (5*A*c*d^2*e^3)/3 + (5*B*c*d^3*e^2)/3) + A*a*d^5*x + (B*c*e^5*x^9)/9 + (a*d^4*x^2*(5*A*e + B*d))/2 + (c*e^4*x^8*(A*e + 5*B*d))/8","B"
1285,1,185,108,0.092690,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^4,x)","x^3\,\left(\frac{A\,c\,d^4}{3}+\frac{4\,B\,a\,d^3\,e}{3}+2\,A\,a\,d^2\,e^2\right)+x^6\,\left(B\,c\,d^2\,e^2+\frac{2\,A\,c\,d\,e^3}{3}+\frac{B\,a\,e^4}{6}\right)+x^4\,\left(\frac{B\,c\,d^4}{4}+A\,c\,d^3\,e+\frac{3\,B\,a\,d^2\,e^2}{2}+A\,a\,d\,e^3\right)+x^5\,\left(\frac{4\,B\,c\,d^3\,e}{5}+\frac{6\,A\,c\,d^2\,e^2}{5}+\frac{4\,B\,a\,d\,e^3}{5}+\frac{A\,a\,e^4}{5}\right)+A\,a\,d^4\,x+\frac{B\,c\,e^4\,x^8}{8}+\frac{a\,d^3\,x^2\,\left(4\,A\,e+B\,d\right)}{2}+\frac{c\,e^3\,x^7\,\left(A\,e+4\,B\,d\right)}{7}","Not used",1,"x^3*((A*c*d^4)/3 + (4*B*a*d^3*e)/3 + 2*A*a*d^2*e^2) + x^6*((B*a*e^4)/6 + (2*A*c*d*e^3)/3 + B*c*d^2*e^2) + x^4*((B*c*d^4)/4 + A*a*d*e^3 + A*c*d^3*e + (3*B*a*d^2*e^2)/2) + x^5*((A*a*e^4)/5 + (4*B*a*d*e^3)/5 + (4*B*c*d^3*e)/5 + (6*A*c*d^2*e^2)/5) + A*a*d^4*x + (B*c*e^4*x^8)/8 + (a*d^3*x^2*(4*A*e + B*d))/2 + (c*e^3*x^7*(A*e + 4*B*d))/7","B"
1286,1,141,108,0.064097,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^3,x)","x^4\,\left(\frac{B\,c\,d^3}{4}+\frac{3\,A\,c\,d^2\,e}{4}+\frac{3\,B\,a\,d\,e^2}{4}+\frac{A\,a\,e^3}{4}\right)+x^3\,\left(\frac{A\,c\,d^3}{3}+B\,a\,d^2\,e+A\,a\,d\,e^2\right)+x^5\,\left(\frac{3\,B\,c\,d^2\,e}{5}+\frac{3\,A\,c\,d\,e^2}{5}+\frac{B\,a\,e^3}{5}\right)+A\,a\,d^3\,x+\frac{B\,c\,e^3\,x^7}{7}+\frac{a\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c\,e^2\,x^6\,\left(A\,e+3\,B\,d\right)}{6}","Not used",1,"x^4*((A*a*e^3)/4 + (B*c*d^3)/4 + (3*B*a*d*e^2)/4 + (3*A*c*d^2*e)/4) + x^3*((A*c*d^3)/3 + A*a*d*e^2 + B*a*d^2*e) + x^5*((B*a*e^3)/5 + (3*A*c*d*e^2)/5 + (3*B*c*d^2*e)/5) + A*a*d^3*x + (B*c*e^3*x^7)/7 + (a*d^2*x^2*(3*A*e + B*d))/2 + (c*e^2*x^6*(A*e + 3*B*d))/6","B"
1287,1,98,108,0.041077,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^2,x)","x^3\,\left(\frac{A\,c\,d^2}{3}+\frac{2\,B\,a\,d\,e}{3}+\frac{A\,a\,e^2}{3}\right)+x^4\,\left(\frac{B\,c\,d^2}{4}+\frac{A\,c\,d\,e}{2}+\frac{B\,a\,e^2}{4}\right)+A\,a\,d^2\,x+\frac{a\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c\,e\,x^5\,\left(A\,e+2\,B\,d\right)}{5}+\frac{B\,c\,e^2\,x^6}{6}","Not used",1,"x^3*((A*a*e^2)/3 + (A*c*d^2)/3 + (2*B*a*d*e)/3) + x^4*((B*a*e^2)/4 + (B*c*d^2)/4 + (A*c*d*e)/2) + A*a*d^2*x + (a*d*x^2*(2*A*e + B*d))/2 + (c*e*x^5*(A*e + 2*B*d))/5 + (B*c*e^2*x^6)/6","B"
1288,1,55,62,1.667439,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x),x)","\frac{B\,c\,e\,x^5}{5}+\frac{c\,\left(A\,e+B\,d\right)\,x^4}{4}+\left(\frac{A\,c\,d}{3}+\frac{B\,a\,e}{3}\right)\,x^3+\frac{a\,\left(A\,e+B\,d\right)\,x^2}{2}+A\,a\,d\,x","Not used",1,"x^3*((A*c*d)/3 + (B*a*e)/3) + (a*x^2*(A*e + B*d))/2 + (c*x^4*(A*e + B*d))/4 + (B*c*e*x^5)/5 + A*a*d*x","B"
1289,1,26,31,0.041156,"\text{Not used}","int((a + c*x^2)*(A + B*x),x)","\frac{B\,c\,x^4}{4}+\frac{A\,c\,x^3}{3}+\frac{B\,a\,x^2}{2}+A\,a\,x","Not used",1,"A*a*x + (B*a*x^2)/2 + (A*c*x^3)/3 + (B*c*x^4)/4","B"
1290,1,100,86,1.683824,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x),x)","x^2\,\left(\frac{A\,c}{2\,e}-\frac{B\,c\,d}{2\,e^2}\right)+x\,\left(\frac{B\,a}{e}-\frac{d\,\left(\frac{A\,c}{e}-\frac{B\,c\,d}{e^2}\right)}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,c\,d^3+A\,c\,d^2\,e-B\,a\,d\,e^2+A\,a\,e^3\right)}{e^4}+\frac{B\,c\,x^3}{3\,e}","Not used",1,"x^2*((A*c)/(2*e) - (B*c*d)/(2*e^2)) + x*((B*a)/e - (d*((A*c)/e - (B*c*d)/e^2))/e) + (log(d + e*x)*(A*a*e^3 - B*c*d^3 - B*a*d*e^2 + A*c*d^2*e))/e^4 + (B*c*x^3)/(3*e)","B"
1291,1,105,89,0.076401,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^2,x)","x\,\left(\frac{A\,c}{e^2}-\frac{2\,B\,c\,d}{e^3}\right)-\frac{-B\,c\,d^3+A\,c\,d^2\,e-B\,a\,d\,e^2+A\,a\,e^3}{e\,\left(x\,e^4+d\,e^3\right)}+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,c\,d^2-2\,A\,c\,d\,e+B\,a\,e^2\right)}{e^4}+\frac{B\,c\,x^2}{2\,e^2}","Not used",1,"x*((A*c)/e^2 - (2*B*c*d)/e^3) - (A*a*e^3 - B*c*d^3 - B*a*d*e^2 + A*c*d^2*e)/(e*(d*e^3 + e^4*x)) + (log(d + e*x)*(B*a*e^2 + 3*B*c*d^2 - 2*A*c*d*e))/e^4 + (B*c*x^2)/(2*e^2)","B"
1292,1,111,94,1.763991,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^3,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c\,e-3\,B\,c\,d\right)}{e^4}-\frac{\frac{5\,B\,c\,d^3-3\,A\,c\,d^2\,e+B\,a\,d\,e^2+A\,a\,e^3}{2\,e}+x\,\left(3\,B\,c\,d^2-2\,A\,c\,d\,e+B\,a\,e^2\right)}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}+\frac{B\,c\,x}{e^3}","Not used",1,"(log(d + e*x)*(A*c*e - 3*B*c*d))/e^4 - ((A*a*e^3 + 5*B*c*d^3 + B*a*d*e^2 - 3*A*c*d^2*e)/(2*e) + x*(B*a*e^2 + 3*B*c*d^2 - 2*A*c*d*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) + (B*c*x)/e^3","B"
1293,1,122,101,0.095365,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^4,x)","\frac{B\,c\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{-11\,B\,c\,d^3+2\,A\,c\,d^2\,e+B\,a\,d\,e^2+2\,A\,a\,e^3}{6\,e^4}+\frac{x\,\left(-9\,B\,c\,d^2+2\,A\,c\,d\,e+B\,a\,e^2\right)}{2\,e^3}+\frac{c\,x^2\,\left(A\,e-3\,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*c*log(d + e*x))/e^4 - ((2*A*a*e^3 - 11*B*c*d^3 + B*a*d*e^2 + 2*A*c*d^2*e)/(6*e^4) + (x*(B*a*e^2 - 9*B*c*d^2 + 2*A*c*d*e))/(2*e^3) + (c*x^2*(A*e - 3*B*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1294,1,128,106,1.711264,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^5,x)","-\frac{\frac{3\,B\,c\,d^3+A\,c\,d^2\,e+B\,a\,d\,e^2+3\,A\,a\,e^3}{12\,e^4}+\frac{x\,\left(3\,B\,c\,d^2+A\,c\,d\,e+B\,a\,e^2\right)}{3\,e^3}+\frac{B\,c\,x^3}{e}+\frac{c\,x^2\,\left(A\,e+3\,B\,d\right)}{2\,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,"-((3*A*a*e^3 + 3*B*c*d^3 + B*a*d*e^2 + A*c*d^2*e)/(12*e^4) + (x*(B*a*e^2 + 3*B*c*d^2 + A*c*d*e))/(3*e^3) + (B*c*x^3)/e + (c*x^2*(A*e + 3*B*d))/(2*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"
1295,1,145,108,0.074519,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^6,x)","-\frac{\frac{3\,B\,c\,d^3+2\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+12\,A\,a\,e^3}{60\,e^4}+\frac{x\,\left(3\,B\,c\,d^2+2\,A\,c\,d\,e+3\,B\,a\,e^2\right)}{12\,e^3}+\frac{B\,c\,x^3}{2\,e}+\frac{c\,x^2\,\left(2\,A\,e+3\,B\,d\right)}{6\,e^2}}{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^3 + 3*B*c*d^3 + 3*B*a*d*e^2 + 2*A*c*d^2*e)/(60*e^4) + (x*(3*B*a*e^2 + 3*B*c*d^2 + 2*A*c*d*e))/(12*e^3) + (B*c*x^3)/(2*e) + (c*x^2*(2*A*e + 3*B*d))/(6*e^2))/(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"
1296,1,150,108,1.780603,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^7,x)","-\frac{\frac{B\,c\,d^3+A\,c\,d^2\,e+2\,B\,a\,d\,e^2+10\,A\,a\,e^3}{60\,e^4}+\frac{x\,\left(B\,c\,d^2+A\,c\,d\,e+2\,B\,a\,e^2\right)}{10\,e^3}+\frac{B\,c\,x^3}{3\,e}+\frac{c\,x^2\,\left(A\,e+B\,d\right)}{4\,e^2}}{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*e^3 + B*c*d^3 + 2*B*a*d*e^2 + A*c*d^2*e)/(60*e^4) + (x*(2*B*a*e^2 + B*c*d^2 + A*c*d*e))/(10*e^3) + (B*c*x^3)/(3*e) + (c*x^2*(A*e + B*d))/(4*e^2))/(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"
1297,1,374,206,1.862729,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x)^5,x)","x^5\,\left(2\,B\,a^2\,d^2\,e^3+A\,a^2\,d\,e^4+2\,B\,a\,c\,d^4\,e+4\,A\,a\,c\,d^3\,e^2+\frac{A\,c^2\,d^5}{5}\right)+x^7\,\left(\frac{B\,a^2\,e^5}{7}+\frac{20\,B\,a\,c\,d^2\,e^3}{7}+\frac{10\,A\,a\,c\,d\,e^4}{7}+\frac{5\,B\,c^2\,d^4\,e}{7}+\frac{10\,A\,c^2\,d^3\,e^2}{7}\right)+x^6\,\left(\frac{5\,B\,a^2\,d\,e^4}{6}+\frac{A\,a^2\,e^5}{6}+\frac{10\,B\,a\,c\,d^3\,e^2}{3}+\frac{10\,A\,a\,c\,d^2\,e^3}{3}+\frac{B\,c^2\,d^5}{6}+\frac{5\,A\,c^2\,d^4\,e}{6}\right)+\frac{a\,d^3\,x^3\,\left(2\,A\,c\,d^2+5\,B\,a\,d\,e+10\,A\,a\,e^2\right)}{3}+\frac{c\,e^3\,x^9\,\left(10\,B\,c\,d^2+5\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{9}+\frac{a^2\,d^4\,x^2\,\left(5\,A\,e+B\,d\right)}{2}+\frac{c^2\,e^4\,x^{10}\,\left(A\,e+5\,B\,d\right)}{10}+A\,a^2\,d^5\,x+\frac{a\,d^2\,x^4\,\left(B\,c\,d^3+5\,A\,c\,d^2\,e+5\,B\,a\,d\,e^2+5\,A\,a\,e^3\right)}{2}+\frac{c\,e^2\,x^8\,\left(5\,B\,c\,d^3+5\,A\,c\,d^2\,e+5\,B\,a\,d\,e^2+A\,a\,e^3\right)}{4}+\frac{B\,c^2\,e^5\,x^{11}}{11}","Not used",1,"x^5*((A*c^2*d^5)/5 + A*a^2*d*e^4 + 2*B*a^2*d^2*e^3 + 2*B*a*c*d^4*e + 4*A*a*c*d^3*e^2) + x^7*((B*a^2*e^5)/7 + (5*B*c^2*d^4*e)/7 + (10*A*c^2*d^3*e^2)/7 + (10*A*a*c*d*e^4)/7 + (20*B*a*c*d^2*e^3)/7) + x^6*((A*a^2*e^5)/6 + (B*c^2*d^5)/6 + (5*B*a^2*d*e^4)/6 + (5*A*c^2*d^4*e)/6 + (10*A*a*c*d^2*e^3)/3 + (10*B*a*c*d^3*e^2)/3) + (a*d^3*x^3*(10*A*a*e^2 + 2*A*c*d^2 + 5*B*a*d*e))/3 + (c*e^3*x^9*(2*B*a*e^2 + 10*B*c*d^2 + 5*A*c*d*e))/9 + (a^2*d^4*x^2*(5*A*e + B*d))/2 + (c^2*e^4*x^10*(A*e + 5*B*d))/10 + A*a^2*d^5*x + (a*d^2*x^4*(5*A*a*e^3 + B*c*d^3 + 5*B*a*d*e^2 + 5*A*c*d^2*e))/2 + (c*e^2*x^8*(A*a*e^3 + 5*B*c*d^3 + 5*B*a*d*e^2 + 5*A*c*d^2*e))/4 + (B*c^2*e^5*x^11)/11","B"
1298,1,298,206,0.128492,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x)^4,x)","x^5\,\left(\frac{4\,B\,a^2\,d\,e^3}{5}+\frac{A\,a^2\,e^4}{5}+\frac{8\,B\,a\,c\,d^3\,e}{5}+\frac{12\,A\,a\,c\,d^2\,e^2}{5}+\frac{A\,c^2\,d^4}{5}\right)+x^6\,\left(\frac{B\,a^2\,e^4}{6}+2\,B\,a\,c\,d^2\,e^2+\frac{4\,A\,a\,c\,d\,e^3}{3}+\frac{B\,c^2\,d^4}{6}+\frac{2\,A\,c^2\,d^3\,e}{3}\right)+\frac{2\,a\,d^2\,x^3\,\left(A\,c\,d^2+2\,B\,a\,d\,e+3\,A\,a\,e^2\right)}{3}+\frac{c\,e^2\,x^8\,\left(3\,B\,c\,d^2+2\,A\,c\,d\,e+B\,a\,e^2\right)}{4}+\frac{a^2\,d^3\,x^2\,\left(4\,A\,e+B\,d\right)}{2}+\frac{c^2\,e^3\,x^9\,\left(A\,e+4\,B\,d\right)}{9}+\frac{a\,d\,x^4\,\left(B\,c\,d^3+4\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+2\,A\,a\,e^3\right)}{2}+\frac{2\,c\,e\,x^7\,\left(2\,B\,c\,d^3+3\,A\,c\,d^2\,e+4\,B\,a\,d\,e^2+A\,a\,e^3\right)}{7}+A\,a^2\,d^4\,x+\frac{B\,c^2\,e^4\,x^{10}}{10}","Not used",1,"x^5*((A*a^2*e^4)/5 + (A*c^2*d^4)/5 + (4*B*a^2*d*e^3)/5 + (8*B*a*c*d^3*e)/5 + (12*A*a*c*d^2*e^2)/5) + x^6*((B*a^2*e^4)/6 + (B*c^2*d^4)/6 + (2*A*c^2*d^3*e)/3 + (4*A*a*c*d*e^3)/3 + 2*B*a*c*d^2*e^2) + (2*a*d^2*x^3*(3*A*a*e^2 + A*c*d^2 + 2*B*a*d*e))/3 + (c*e^2*x^8*(B*a*e^2 + 3*B*c*d^2 + 2*A*c*d*e))/4 + (a^2*d^3*x^2*(4*A*e + B*d))/2 + (c^2*e^3*x^9*(A*e + 4*B*d))/9 + (a*d*x^4*(2*A*a*e^3 + B*c*d^3 + 3*B*a*d*e^2 + 4*A*c*d^2*e))/2 + (2*c*e*x^7*(A*a*e^3 + 2*B*c*d^3 + 4*B*a*d*e^2 + 3*A*c*d^2*e))/7 + A*a^2*d^4*x + (B*c^2*e^4*x^10)/10","B"
1299,1,229,206,1.753083,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x)^3,x)","x^5\,\left(\frac{B\,a^2\,e^3}{5}+\frac{6\,B\,a\,c\,d^2\,e}{5}+\frac{6\,A\,a\,c\,d\,e^2}{5}+\frac{A\,c^2\,d^3}{5}\right)+\frac{a\,x^4\,\left(2\,B\,c\,d^3+6\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{4}+\frac{c\,x^6\,\left(B\,c\,d^3+3\,A\,c\,d^2\,e+6\,B\,a\,d\,e^2+2\,A\,a\,e^3\right)}{6}+\frac{a^2\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c^2\,e^2\,x^8\,\left(A\,e+3\,B\,d\right)}{8}+A\,a^2\,d^3\,x+\frac{a\,d\,x^3\,\left(2\,A\,c\,d^2+3\,B\,a\,d\,e+3\,A\,a\,e^2\right)}{3}+\frac{c\,e\,x^7\,\left(3\,B\,c\,d^2+3\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{7}+\frac{B\,c^2\,e^3\,x^9}{9}","Not used",1,"x^5*((A*c^2*d^3)/5 + (B*a^2*e^3)/5 + (6*A*a*c*d*e^2)/5 + (6*B*a*c*d^2*e)/5) + (a*x^4*(A*a*e^3 + 2*B*c*d^3 + 3*B*a*d*e^2 + 6*A*c*d^2*e))/4 + (c*x^6*(2*A*a*e^3 + B*c*d^3 + 6*B*a*d*e^2 + 3*A*c*d^2*e))/6 + (a^2*d^2*x^2*(3*A*e + B*d))/2 + (c^2*e^2*x^8*(A*e + 3*B*d))/8 + A*a^2*d^3*x + (a*d*x^3*(3*A*a*e^2 + 2*A*c*d^2 + 3*B*a*d*e))/3 + (c*e*x^7*(2*B*a*e^2 + 3*B*c*d^2 + 3*A*c*d*e))/7 + (B*c^2*e^3*x^9)/9","B"
1300,1,168,206,1.731091,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(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\,A\,c\,a\,d^2}{3}\right)+x^6\,\left(\frac{B\,c^2\,d^2}{6}+\frac{A\,c^2\,d\,e}{3}+\frac{B\,a\,c\,e^2}{3}\right)+\frac{c\,x^5\,\left(A\,c\,d^2+4\,B\,a\,d\,e+2\,A\,a\,e^2\right)}{5}+\frac{a\,x^4\,\left(2\,B\,c\,d^2+4\,A\,c\,d\,e+B\,a\,e^2\right)}{4}+A\,a^2\,d^2\,x+\frac{a^2\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c^2\,e\,x^7\,\left(A\,e+2\,B\,d\right)}{7}+\frac{B\,c^2\,e^2\,x^8}{8}","Not used",1,"x^3*((A*a^2*e^2)/3 + (2*A*a*c*d^2)/3 + (2*B*a^2*d*e)/3) + x^6*((B*c^2*d^2)/6 + (B*a*c*e^2)/3 + (A*c^2*d*e)/3) + (c*x^5*(2*A*a*e^2 + A*c*d^2 + 4*B*a*d*e))/5 + (a*x^4*(B*a*e^2 + 2*B*c*d^2 + 4*A*c*d*e))/4 + A*a^2*d^2*x + (a^2*d*x^2*(2*A*e + B*d))/2 + (c^2*e*x^7*(A*e + 2*B*d))/7 + (B*c^2*e^2*x^8)/8","B"
1301,1,98,106,1.682727,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x),x)","x^3\,\left(\frac{B\,e\,a^2}{3}+\frac{2\,A\,c\,d\,a}{3}\right)+x^5\,\left(\frac{A\,d\,c^2}{5}+\frac{2\,B\,a\,e\,c}{5}\right)+\frac{a^2\,x^2\,\left(A\,e+B\,d\right)}{2}+\frac{c^2\,x^6\,\left(A\,e+B\,d\right)}{6}+A\,a^2\,d\,x+\frac{a\,c\,x^4\,\left(A\,e+B\,d\right)}{2}+\frac{B\,c^2\,e\,x^7}{7}","Not used",1,"x^3*((B*a^2*e)/3 + (2*A*a*c*d)/3) + x^5*((A*c^2*d)/5 + (2*B*a*c*e)/5) + (a^2*x^2*(A*e + B*d))/2 + (c^2*x^6*(A*e + B*d))/6 + A*a^2*d*x + (a*c*x^4*(A*e + B*d))/2 + (B*c^2*e*x^7)/7","B"
1302,1,50,45,0.024706,"\text{Not used}","int((a + c*x^2)^2*(A + B*x),x)","\frac{B\,a^2\,x^2}{2}+A\,a^2\,x+\frac{B\,a\,c\,x^4}{2}+\frac{2\,A\,a\,c\,x^3}{3}+\frac{B\,c^2\,x^6}{6}+\frac{A\,c^2\,x^5}{5}","Not used",1,"(B*a^2*x^2)/2 + (A*c^2*x^5)/5 + (B*c^2*x^6)/6 + A*a^2*x + (2*A*a*c*x^3)/3 + (B*a*c*x^4)/2","B"
1303,1,260,169,0.065814,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x),x)","x\,\left(\frac{B\,a^2}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^2}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}-\frac{2\,B\,a\,c}{e}\right)}{e}+\frac{2\,A\,a\,c}{e}\right)}{e}\right)+x^4\,\left(\frac{A\,c^2}{4\,e}-\frac{B\,c^2\,d}{4\,e^2}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,c^2}{e}-\frac{B\,c^2\,d}{e^2}\right)}{3\,e}-\frac{2\,B\,a\,c}{3\,e}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^2}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}-\frac{2\,B\,a\,c}{e}\right)}{2\,e}+\frac{A\,a\,c}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^2\,d\,e^4+A\,a^2\,e^5-2\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3-B\,c^2\,d^5+A\,c^2\,d^4\,e\right)}{e^6}+\frac{B\,c^2\,x^5}{5\,e}","Not used",1,"x*((B*a^2)/e - (d*((d*((d*((A*c^2)/e - (B*c^2*d)/e^2))/e - (2*B*a*c)/e))/e + (2*A*a*c)/e))/e) + x^4*((A*c^2)/(4*e) - (B*c^2*d)/(4*e^2)) - x^3*((d*((A*c^2)/e - (B*c^2*d)/e^2))/(3*e) - (2*B*a*c)/(3*e)) + x^2*((d*((d*((A*c^2)/e - (B*c^2*d)/e^2))/e - (2*B*a*c)/e))/(2*e) + (A*a*c)/e) + (log(d + e*x)*(A*a^2*e^5 - B*c^2*d^5 - B*a^2*d*e^4 + A*c^2*d^4*e + 2*A*a*c*d^2*e^3 - 2*B*a*c*d^3*e^2))/e^6 + (B*c^2*x^5)/(5*e)","B"
1304,1,311,180,0.088438,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^2,x)","x^3\,\left(\frac{A\,c^2}{3\,e^2}-\frac{2\,B\,c^2\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{A\,c^2}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{B\,a\,c}{e^2}+\frac{B\,c^2\,d^2}{2\,e^4}\right)+x\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^2}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{2\,B\,a\,c}{e^2}+\frac{B\,c^2\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^2}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e^2}+\frac{2\,A\,a\,c}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^2\,e^4+6\,B\,a\,c\,d^2\,e^2-4\,A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)}{e^6}-\frac{-B\,a^2\,d\,e^4+A\,a^2\,e^5-2\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3-B\,c^2\,d^5+A\,c^2\,d^4\,e}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{B\,c^2\,x^4}{4\,e^2}","Not used",1,"x^3*((A*c^2)/(3*e^2) - (2*B*c^2*d)/(3*e^3)) - x^2*((d*((A*c^2)/e^2 - (2*B*c^2*d)/e^3))/e - (B*a*c)/e^2 + (B*c^2*d^2)/(2*e^4)) + x*((2*d*((2*d*((A*c^2)/e^2 - (2*B*c^2*d)/e^3))/e - (2*B*a*c)/e^2 + (B*c^2*d^2)/e^4))/e - (d^2*((A*c^2)/e^2 - (2*B*c^2*d)/e^3))/e^2 + (2*A*a*c)/e^2) + (log(d + e*x)*(B*a^2*e^4 + 5*B*c^2*d^4 - 4*A*c^2*d^3*e - 4*A*a*c*d*e^3 + 6*B*a*c*d^2*e^2))/e^6 - (A*a^2*e^5 - B*c^2*d^5 - B*a^2*d*e^4 + A*c^2*d^4*e + 2*A*a*c*d^2*e^3 - 2*B*a*c*d^3*e^2)/(e*(d*e^5 + e^6*x)) + (B*c^2*x^4)/(4*e^2)","B"
1305,1,275,185,1.752336,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^3,x)","x^2\,\left(\frac{A\,c^2}{2\,e^3}-\frac{3\,B\,c^2\,d}{2\,e^4}\right)-\frac{x\,\left(B\,a^2\,e^4+6\,B\,a\,c\,d^2\,e^2-4\,A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)+\frac{B\,a^2\,d\,e^4+A\,a^2\,e^5+10\,B\,a\,c\,d^3\,e^2-6\,A\,a\,c\,d^2\,e^3+9\,B\,c^2\,d^5-7\,A\,c^2\,d^4\,e}{2\,e}}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}-x\,\left(\frac{3\,d\,\left(\frac{A\,c^2}{e^3}-\frac{3\,B\,c^2\,d}{e^4}\right)}{e}-\frac{2\,B\,a\,c}{e^3}+\frac{3\,B\,c^2\,d^2}{e^5}\right)-\frac{\ln\left(d+e\,x\right)\,\left(10\,B\,c^2\,d^3-6\,A\,c^2\,d^2\,e+6\,B\,a\,c\,d\,e^2-2\,A\,a\,c\,e^3\right)}{e^6}+\frac{B\,c^2\,x^3}{3\,e^3}","Not used",1,"x^2*((A*c^2)/(2*e^3) - (3*B*c^2*d)/(2*e^4)) - (x*(B*a^2*e^4 + 5*B*c^2*d^4 - 4*A*c^2*d^3*e - 4*A*a*c*d*e^3 + 6*B*a*c*d^2*e^2) + (A*a^2*e^5 + 9*B*c^2*d^5 + B*a^2*d*e^4 - 7*A*c^2*d^4*e - 6*A*a*c*d^2*e^3 + 10*B*a*c*d^3*e^2)/(2*e))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) - x*((3*d*((A*c^2)/e^3 - (3*B*c^2*d)/e^4))/e - (2*B*a*c)/e^3 + (3*B*c^2*d^2)/e^5) - (log(d + e*x)*(10*B*c^2*d^3 - 2*A*a*c*e^3 - 6*A*c^2*d^2*e + 6*B*a*c*d*e^2))/e^6 + (B*c^2*x^3)/(3*e^3)","B"
1306,1,268,189,1.766383,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^4,x)","x\,\left(\frac{A\,c^2}{e^4}-\frac{4\,B\,c^2\,d}{e^5}\right)-\frac{x\,\left(\frac{B\,a^2\,e^4}{2}-9\,B\,a\,c\,d^2\,e^2+2\,A\,a\,c\,d\,e^3-\frac{35\,B\,c^2\,d^4}{2}+10\,A\,c^2\,d^3\,e\right)+\frac{B\,a^2\,d\,e^4+2\,A\,a^2\,e^5-22\,B\,a\,c\,d^3\,e^2+4\,A\,a\,c\,d^2\,e^3-47\,B\,c^2\,d^5+26\,A\,c^2\,d^4\,e}{6\,e}+x^2\,\left(-10\,B\,c^2\,d^3\,e+6\,A\,c^2\,d^2\,e^2-6\,B\,a\,c\,d\,e^3+2\,A\,a\,c\,e^4\right)}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(10\,B\,c^2\,d^2-4\,A\,c^2\,d\,e+2\,B\,a\,c\,e^2\right)}{e^6}+\frac{B\,c^2\,x^2}{2\,e^4}","Not used",1,"x*((A*c^2)/e^4 - (4*B*c^2*d)/e^5) - (x*((B*a^2*e^4)/2 - (35*B*c^2*d^4)/2 + 10*A*c^2*d^3*e + 2*A*a*c*d*e^3 - 9*B*a*c*d^2*e^2) + (2*A*a^2*e^5 - 47*B*c^2*d^5 + B*a^2*d*e^4 + 26*A*c^2*d^4*e + 4*A*a*c*d^2*e^3 - 22*B*a*c*d^3*e^2)/(6*e) + x^2*(2*A*a*c*e^4 - 10*B*c^2*d^3*e + 6*A*c^2*d^2*e^2 - 6*B*a*c*d*e^3))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (log(d + e*x)*(10*B*c^2*d^2 + 2*B*a*c*e^2 - 4*A*c^2*d*e))/e^6 + (B*c^2*x^2)/(2*e^4)","B"
1307,1,277,189,1.843318,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^5,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c^2\,e-5\,B\,c^2\,d\right)}{e^6}-\frac{x^3\,\left(10\,B\,c^2\,d^2\,e^2-4\,A\,c^2\,d\,e^3+2\,B\,a\,c\,e^4\right)+x\,\left(\frac{B\,a^2\,e^4}{3}+2\,B\,a\,c\,d^2\,e^2+\frac{2\,A\,a\,c\,d\,e^3}{3}+\frac{65\,B\,c^2\,d^4}{3}-\frac{22\,A\,c^2\,d^3\,e}{3}\right)+\frac{B\,a^2\,d\,e^4+3\,A\,a^2\,e^5+6\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3+77\,B\,c^2\,d^5-25\,A\,c^2\,d^4\,e}{12\,e}+x^2\,\left(25\,B\,c^2\,d^3\,e-9\,A\,c^2\,d^2\,e^2+3\,B\,a\,c\,d\,e^3+A\,a\,c\,e^4\right)}{d^4\,e^5+4\,d^3\,e^6\,x+6\,d^2\,e^7\,x^2+4\,d\,e^8\,x^3+e^9\,x^4}+\frac{B\,c^2\,x}{e^5}","Not used",1,"(log(d + e*x)*(A*c^2*e - 5*B*c^2*d))/e^6 - (x^3*(2*B*a*c*e^4 - 4*A*c^2*d*e^3 + 10*B*c^2*d^2*e^2) + x*((B*a^2*e^4)/3 + (65*B*c^2*d^4)/3 - (22*A*c^2*d^3*e)/3 + (2*A*a*c*d*e^3)/3 + 2*B*a*c*d^2*e^2) + (3*A*a^2*e^5 + 77*B*c^2*d^5 + B*a^2*d*e^4 - 25*A*c^2*d^4*e + 2*A*a*c*d^2*e^3 + 6*B*a*c*d^3*e^2)/(12*e) + x^2*(A*a*c*e^4 + 25*B*c^2*d^3*e - 9*A*c^2*d^2*e^2 + 3*B*a*c*d*e^3))/(d^4*e^5 + e^9*x^4 + 4*d^3*e^6*x + 4*d*e^8*x^3 + 6*d^2*e^7*x^2) + (B*c^2*x)/e^5","B"
1308,1,243,197,1.775719,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^6,x)","\frac{B\,c^2\,\ln\left(d+e\,x\right)}{e^6}-\frac{x^2\,\left(-\frac{55\,B\,c^2\,d^3\,e^2}{3}+2\,A\,c^2\,d^2\,e^3+B\,a\,c\,d\,e^4+\frac{2\,A\,a\,c\,e^5}{3}\right)+x^3\,\left(-15\,B\,c^2\,d^2\,e^3+2\,A\,c^2\,d\,e^4+B\,a\,c\,e^5\right)+x^4\,\left(A\,c^2\,e^5-5\,B\,c^2\,d\,e^4\right)+x\,\left(\frac{B\,a^2\,e^5}{4}+\frac{B\,a\,c\,d^2\,e^3}{2}+\frac{A\,a\,c\,d\,e^4}{3}-\frac{125\,B\,c^2\,d^4\,e}{12}+A\,c^2\,d^3\,e^2\right)+\frac{A\,a^2\,e^5}{5}-\frac{137\,B\,c^2\,d^5}{60}+\frac{B\,a^2\,d\,e^4}{20}+\frac{A\,c^2\,d^4\,e}{5}+\frac{A\,a\,c\,d^2\,e^3}{15}+\frac{B\,a\,c\,d^3\,e^2}{10}}{e^6\,{\left(d+e\,x\right)}^5}","Not used",1,"(B*c^2*log(d + e*x))/e^6 - (x^2*((2*A*a*c*e^5)/3 + 2*A*c^2*d^2*e^3 - (55*B*c^2*d^3*e^2)/3 + B*a*c*d*e^4) + x^3*(B*a*c*e^5 + 2*A*c^2*d*e^4 - 15*B*c^2*d^2*e^3) + x^4*(A*c^2*e^5 - 5*B*c^2*d*e^4) + x*((B*a^2*e^5)/4 - (125*B*c^2*d^4*e)/12 + A*c^2*d^3*e^2 + (A*a*c*d*e^4)/3 + (B*a*c*d^2*e^3)/2) + (A*a^2*e^5)/5 - (137*B*c^2*d^5)/60 + (B*a^2*d*e^4)/20 + (A*c^2*d^4*e)/5 + (A*a*c*d^2*e^3)/15 + (B*a*c*d^3*e^2)/10)/(e^6*(d + e*x)^5)","B"
1309,1,273,204,0.110355,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^7,x)","-\frac{\frac{B\,a^2\,d\,e^4+5\,A\,a^2\,e^5+B\,a\,c\,d^3\,e^2+A\,a\,c\,d^2\,e^3+5\,B\,c^2\,d^5+A\,c^2\,d^4\,e}{30\,e^6}+\frac{x\,\left(B\,a^2\,e^4+B\,a\,c\,d^2\,e^2+A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4+A\,c^2\,d^3\,e\right)}{5\,e^5}+\frac{2\,c\,x^3\,\left(5\,B\,c\,d^2+A\,c\,d\,e+B\,a\,e^2\right)}{3\,e^3}+\frac{c^2\,x^4\,\left(A\,e+5\,B\,d\right)}{2\,e^2}+\frac{c\,x^2\,\left(5\,B\,c\,d^3+A\,c\,d^2\,e+B\,a\,d\,e^2+A\,a\,e^3\right)}{2\,e^4}+\frac{B\,c^2\,x^5}{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,"-((5*A*a^2*e^5 + 5*B*c^2*d^5 + B*a^2*d*e^4 + A*c^2*d^4*e + A*a*c*d^2*e^3 + B*a*c*d^3*e^2)/(30*e^6) + (x*(B*a^2*e^4 + 5*B*c^2*d^4 + A*c^2*d^3*e + A*a*c*d*e^3 + B*a*c*d^2*e^2))/(5*e^5) + (2*c*x^3*(B*a*e^2 + 5*B*c*d^2 + A*c*d*e))/(3*e^3) + (c^2*x^4*(A*e + 5*B*d))/(2*e^2) + (c*x^2*(A*a*e^3 + 5*B*c*d^3 + B*a*d*e^2 + A*c*d^2*e))/(2*e^4) + (B*c^2*x^5)/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"
1310,1,299,206,1.730329,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^8,x)","-\frac{\frac{5\,B\,a^2\,d\,e^4+30\,A\,a^2\,e^5+3\,B\,a\,c\,d^3\,e^2+4\,A\,a\,c\,d^2\,e^3+5\,B\,c^2\,d^5+2\,A\,c^2\,d^4\,e}{210\,e^6}+\frac{x\,\left(5\,B\,a^2\,e^4+3\,B\,a\,c\,d^2\,e^2+4\,A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4+2\,A\,c^2\,d^3\,e\right)}{30\,e^5}+\frac{c\,x^3\,\left(5\,B\,c\,d^2+2\,A\,c\,d\,e+3\,B\,a\,e^2\right)}{6\,e^3}+\frac{c^2\,x^4\,\left(2\,A\,e+5\,B\,d\right)}{6\,e^2}+\frac{c\,x^2\,\left(5\,B\,c\,d^3+2\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+4\,A\,a\,e^3\right)}{10\,e^4}+\frac{B\,c^2\,x^5}{2\,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,"-((30*A*a^2*e^5 + 5*B*c^2*d^5 + 5*B*a^2*d*e^4 + 2*A*c^2*d^4*e + 4*A*a*c*d^2*e^3 + 3*B*a*c*d^3*e^2)/(210*e^6) + (x*(5*B*a^2*e^4 + 5*B*c^2*d^4 + 2*A*c^2*d^3*e + 4*A*a*c*d*e^3 + 3*B*a*c*d^2*e^2))/(30*e^5) + (c*x^3*(3*B*a*e^2 + 5*B*c*d^2 + 2*A*c*d*e))/(6*e^3) + (c^2*x^4*(2*A*e + 5*B*d))/(6*e^2) + (c*x^2*(4*A*a*e^3 + 5*B*c*d^3 + 3*B*a*d*e^2 + 2*A*c*d^2*e))/(10*e^4) + (B*c^2*x^5)/(2*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"
1311,1,310,206,0.115007,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^9,x)","-\frac{\frac{15\,B\,a^2\,d\,e^4+105\,A\,a^2\,e^5+6\,B\,a\,c\,d^3\,e^2+10\,A\,a\,c\,d^2\,e^3+5\,B\,c^2\,d^5+3\,A\,c^2\,d^4\,e}{840\,e^6}+\frac{x\,\left(15\,B\,a^2\,e^4+6\,B\,a\,c\,d^2\,e^2+10\,A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4+3\,A\,c^2\,d^3\,e\right)}{105\,e^5}+\frac{c\,x^3\,\left(5\,B\,c\,d^2+3\,A\,c\,d\,e+6\,B\,a\,e^2\right)}{15\,e^3}+\frac{c^2\,x^4\,\left(3\,A\,e+5\,B\,d\right)}{12\,e^2}+\frac{c\,x^2\,\left(5\,B\,c\,d^3+3\,A\,c\,d^2\,e+6\,B\,a\,d\,e^2+10\,A\,a\,e^3\right)}{30\,e^4}+\frac{B\,c^2\,x^5}{3\,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,"-((105*A*a^2*e^5 + 5*B*c^2*d^5 + 15*B*a^2*d*e^4 + 3*A*c^2*d^4*e + 10*A*a*c*d^2*e^3 + 6*B*a*c*d^3*e^2)/(840*e^6) + (x*(15*B*a^2*e^4 + 5*B*c^2*d^4 + 3*A*c^2*d^3*e + 10*A*a*c*d*e^3 + 6*B*a*c*d^2*e^2))/(105*e^5) + (c*x^3*(6*B*a*e^2 + 5*B*c*d^2 + 3*A*c*d*e))/(15*e^3) + (c^2*x^4*(3*A*e + 5*B*d))/(12*e^2) + (c*x^2*(10*A*a*e^3 + 5*B*c*d^3 + 6*B*a*d*e^2 + 3*A*c*d^2*e))/(30*e^4) + (B*c^2*x^5)/(3*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"
1312,1,321,206,1.757482,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^10,x)","-\frac{\frac{35\,B\,a^2\,d\,e^4+280\,A\,a^2\,e^5+10\,B\,a\,c\,d^3\,e^2+20\,A\,a\,c\,d^2\,e^3+5\,B\,c^2\,d^5+4\,A\,c^2\,d^4\,e}{2520\,e^6}+\frac{x\,\left(35\,B\,a^2\,e^4+10\,B\,a\,c\,d^2\,e^2+20\,A\,a\,c\,d\,e^3+5\,B\,c^2\,d^4+4\,A\,c^2\,d^3\,e\right)}{280\,e^5}+\frac{c\,x^3\,\left(5\,B\,c\,d^2+4\,A\,c\,d\,e+10\,B\,a\,e^2\right)}{30\,e^3}+\frac{c^2\,x^4\,\left(4\,A\,e+5\,B\,d\right)}{20\,e^2}+\frac{c\,x^2\,\left(5\,B\,c\,d^3+4\,A\,c\,d^2\,e+10\,B\,a\,d\,e^2+20\,A\,a\,e^3\right)}{70\,e^4}+\frac{B\,c^2\,x^5}{4\,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^2*e^5 + 5*B*c^2*d^5 + 35*B*a^2*d*e^4 + 4*A*c^2*d^4*e + 20*A*a*c*d^2*e^3 + 10*B*a*c*d^3*e^2)/(2520*e^6) + (x*(35*B*a^2*e^4 + 5*B*c^2*d^4 + 4*A*c^2*d^3*e + 20*A*a*c*d*e^3 + 10*B*a*c*d^2*e^2))/(280*e^5) + (c*x^3*(10*B*a*e^2 + 5*B*c*d^2 + 4*A*c*d*e))/(30*e^3) + (c^2*x^4*(4*A*e + 5*B*d))/(20*e^2) + (c*x^2*(20*A*a*e^3 + 5*B*c*d^3 + 10*B*a*d*e^2 + 4*A*c*d^2*e))/(70*e^4) + (B*c^2*x^5)/(4*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"
1313,1,542,334,1.861561,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x)^5,x)","x^6\,\left(\frac{5\,B\,a^3\,d\,e^4}{6}+\frac{A\,a^3\,e^5}{6}+5\,B\,a^2\,c\,d^3\,e^2+5\,A\,a^2\,c\,d^2\,e^3+\frac{B\,a\,c^2\,d^5}{2}+\frac{5\,A\,a\,c^2\,d^4\,e}{2}\right)+x^7\,\left(\frac{B\,a^3\,e^5}{7}+\frac{30\,B\,a^2\,c\,d^2\,e^3}{7}+\frac{15\,A\,a^2\,c\,d\,e^4}{7}+\frac{15\,B\,a\,c^2\,d^4\,e}{7}+\frac{30\,A\,a\,c^2\,d^3\,e^2}{7}+\frac{A\,c^3\,d^5}{7}\right)+x^8\,\left(\frac{15\,B\,a^2\,c\,d\,e^4}{8}+\frac{3\,A\,a^2\,c\,e^5}{8}+\frac{15\,B\,a\,c^2\,d^3\,e^2}{4}+\frac{15\,A\,a\,c^2\,d^2\,e^3}{4}+\frac{B\,c^3\,d^5}{8}+\frac{5\,A\,c^3\,d^4\,e}{8}\right)+x^5\,\left(2\,B\,a^3\,d^2\,e^3+A\,a^3\,d\,e^4+3\,B\,a^2\,c\,d^4\,e+6\,A\,a^2\,c\,d^3\,e^2+\frac{3\,A\,a\,c^2\,d^5}{5}\right)+x^9\,\left(\frac{B\,a^2\,c\,e^5}{3}+\frac{10\,B\,a\,c^2\,d^2\,e^3}{3}+\frac{5\,A\,a\,c^2\,d\,e^4}{3}+\frac{5\,B\,c^3\,d^4\,e}{9}+\frac{10\,A\,c^3\,d^3\,e^2}{9}\right)+\frac{c^2\,e^2\,x^{10}\,\left(10\,B\,c\,d^3+10\,A\,c\,d^2\,e+15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{10}+\frac{a^3\,d^4\,x^2\,\left(5\,A\,e+B\,d\right)}{2}+\frac{c^3\,e^4\,x^{12}\,\left(A\,e+5\,B\,d\right)}{12}+\frac{a^2\,d^3\,x^3\,\left(3\,A\,c\,d^2+5\,B\,a\,d\,e+10\,A\,a\,e^2\right)}{3}+\frac{c^2\,e^3\,x^{11}\,\left(10\,B\,c\,d^2+5\,A\,c\,d\,e+3\,B\,a\,e^2\right)}{11}+A\,a^3\,d^5\,x+\frac{a^2\,d^2\,x^4\,\left(3\,B\,c\,d^3+15\,A\,c\,d^2\,e+10\,B\,a\,d\,e^2+10\,A\,a\,e^3\right)}{4}+\frac{B\,c^3\,e^5\,x^{13}}{13}","Not used",1,"x^6*((A*a^3*e^5)/6 + (B*a*c^2*d^5)/2 + (5*B*a^3*d*e^4)/6 + 5*A*a^2*c*d^2*e^3 + 5*B*a^2*c*d^3*e^2 + (5*A*a*c^2*d^4*e)/2) + x^7*((A*c^3*d^5)/7 + (B*a^3*e^5)/7 + (30*A*a*c^2*d^3*e^2)/7 + (30*B*a^2*c*d^2*e^3)/7 + (15*A*a^2*c*d*e^4)/7 + (15*B*a*c^2*d^4*e)/7) + x^8*((B*c^3*d^5)/8 + (3*A*a^2*c*e^5)/8 + (5*A*c^3*d^4*e)/8 + (15*A*a*c^2*d^2*e^3)/4 + (15*B*a*c^2*d^3*e^2)/4 + (15*B*a^2*c*d*e^4)/8) + x^5*((3*A*a*c^2*d^5)/5 + A*a^3*d*e^4 + 2*B*a^3*d^2*e^3 + 6*A*a^2*c*d^3*e^2 + 3*B*a^2*c*d^4*e) + x^9*((B*a^2*c*e^5)/3 + (5*B*c^3*d^4*e)/9 + (10*A*c^3*d^3*e^2)/9 + (10*B*a*c^2*d^2*e^3)/3 + (5*A*a*c^2*d*e^4)/3) + (c^2*e^2*x^10*(3*A*a*e^3 + 10*B*c*d^3 + 15*B*a*d*e^2 + 10*A*c*d^2*e))/10 + (a^3*d^4*x^2*(5*A*e + B*d))/2 + (c^3*e^4*x^12*(A*e + 5*B*d))/12 + (a^2*d^3*x^3*(10*A*a*e^2 + 3*A*c*d^2 + 5*B*a*d*e))/3 + (c^2*e^3*x^11*(3*B*a*e^2 + 10*B*c*d^2 + 5*A*c*d*e))/11 + A*a^3*d^5*x + (a^2*d^2*x^4*(10*A*a*e^3 + 3*B*c*d^3 + 10*B*a*d*e^2 + 15*A*c*d^2*e))/4 + (B*c^3*e^5*x^13)/13","B"
1314,1,438,334,0.189474,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x)^4,x)","x^5\,\left(\frac{4\,B\,a^3\,d\,e^3}{5}+\frac{A\,a^3\,e^4}{5}+\frac{12\,B\,a^2\,c\,d^3\,e}{5}+\frac{18\,A\,a^2\,c\,d^2\,e^2}{5}+\frac{3\,A\,a\,c^2\,d^4}{5}\right)+x^8\,\left(\frac{3\,B\,a^2\,c\,e^4}{8}+\frac{9\,B\,a\,c^2\,d^2\,e^2}{4}+\frac{3\,A\,a\,c^2\,d\,e^3}{2}+\frac{B\,c^3\,d^4}{8}+\frac{A\,c^3\,d^3\,e}{2}\right)+x^6\,\left(\frac{B\,a^3\,e^4}{6}+3\,B\,a^2\,c\,d^2\,e^2+2\,A\,a^2\,c\,d\,e^3+\frac{B\,a\,c^2\,d^4}{2}+2\,A\,a\,c^2\,d^3\,e\right)+x^7\,\left(\frac{12\,B\,a^2\,c\,d\,e^3}{7}+\frac{3\,A\,a^2\,c\,e^4}{7}+\frac{12\,B\,a\,c^2\,d^3\,e}{7}+\frac{18\,A\,a\,c^2\,d^2\,e^2}{7}+\frac{A\,c^3\,d^4}{7}\right)+\frac{a^3\,d^3\,x^2\,\left(4\,A\,e+B\,d\right)}{2}+\frac{c^3\,e^3\,x^{11}\,\left(A\,e+4\,B\,d\right)}{11}+\frac{a^2\,d^2\,x^3\,\left(3\,A\,c\,d^2+4\,B\,a\,d\,e+6\,A\,a\,e^2\right)}{3}+\frac{c^2\,e^2\,x^{10}\,\left(6\,B\,c\,d^2+4\,A\,c\,d\,e+3\,B\,a\,e^2\right)}{10}+A\,a^3\,d^4\,x+\frac{a^2\,d\,x^4\,\left(3\,B\,c\,d^3+12\,A\,c\,d^2\,e+6\,B\,a\,d\,e^2+4\,A\,a\,e^3\right)}{4}+\frac{c^2\,e\,x^9\,\left(4\,B\,c\,d^3+6\,A\,c\,d^2\,e+12\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{9}+\frac{B\,c^3\,e^4\,x^{12}}{12}","Not used",1,"x^5*((A*a^3*e^4)/5 + (3*A*a*c^2*d^4)/5 + (4*B*a^3*d*e^3)/5 + (18*A*a^2*c*d^2*e^2)/5 + (12*B*a^2*c*d^3*e)/5) + x^8*((B*c^3*d^4)/8 + (3*B*a^2*c*e^4)/8 + (A*c^3*d^3*e)/2 + (9*B*a*c^2*d^2*e^2)/4 + (3*A*a*c^2*d*e^3)/2) + x^6*((B*a^3*e^4)/6 + (B*a*c^2*d^4)/2 + 3*B*a^2*c*d^2*e^2 + 2*A*a*c^2*d^3*e + 2*A*a^2*c*d*e^3) + x^7*((A*c^3*d^4)/7 + (3*A*a^2*c*e^4)/7 + (18*A*a*c^2*d^2*e^2)/7 + (12*B*a*c^2*d^3*e)/7 + (12*B*a^2*c*d*e^3)/7) + (a^3*d^3*x^2*(4*A*e + B*d))/2 + (c^3*e^3*x^11*(A*e + 4*B*d))/11 + (a^2*d^2*x^3*(6*A*a*e^2 + 3*A*c*d^2 + 4*B*a*d*e))/3 + (c^2*e^2*x^10*(3*B*a*e^2 + 6*B*c*d^2 + 4*A*c*d*e))/10 + A*a^3*d^4*x + (a^2*d*x^4*(4*A*a*e^3 + 3*B*c*d^3 + 6*B*a*d*e^2 + 12*A*c*d^2*e))/4 + (c^2*e*x^9*(3*A*a*e^3 + 4*B*c*d^3 + 12*B*a*d*e^2 + 6*A*c*d^2*e))/9 + (B*c^3*e^4*x^12)/12","B"
1315,1,317,334,0.151093,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x)^3,x)","x^5\,\left(\frac{B\,a^3\,e^3}{5}+\frac{9\,B\,a^2\,c\,d^2\,e}{5}+\frac{9\,A\,a^2\,c\,d\,e^2}{5}+\frac{3\,A\,a\,c^2\,d^3}{5}\right)+x^7\,\left(\frac{3\,B\,a^2\,c\,e^3}{7}+\frac{9\,B\,a\,c^2\,d^2\,e}{7}+\frac{9\,A\,a\,c^2\,d\,e^2}{7}+\frac{A\,c^3\,d^3}{7}\right)+\frac{a^2\,x^4\,\left(3\,B\,c\,d^3+9\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{4}+\frac{c^2\,x^8\,\left(B\,c\,d^3+3\,A\,c\,d^2\,e+9\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{8}+a^2\,d\,x^3\,\left(A\,c\,d^2+B\,a\,d\,e+A\,a\,e^2\right)+\frac{c^2\,e\,x^9\,\left(B\,c\,d^2+A\,c\,d\,e+B\,a\,e^2\right)}{3}+\frac{a^3\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c^3\,e^2\,x^{10}\,\left(A\,e+3\,B\,d\right)}{10}+\frac{a\,c\,x^6\,\left(B\,c\,d^3+3\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{2}+A\,a^3\,d^3\,x+\frac{B\,c^3\,e^3\,x^{11}}{11}","Not used",1,"x^5*((B*a^3*e^3)/5 + (3*A*a*c^2*d^3)/5 + (9*A*a^2*c*d*e^2)/5 + (9*B*a^2*c*d^2*e)/5) + x^7*((A*c^3*d^3)/7 + (3*B*a^2*c*e^3)/7 + (9*A*a*c^2*d*e^2)/7 + (9*B*a*c^2*d^2*e)/7) + (a^2*x^4*(A*a*e^3 + 3*B*c*d^3 + 3*B*a*d*e^2 + 9*A*c*d^2*e))/4 + (c^2*x^8*(3*A*a*e^3 + B*c*d^3 + 9*B*a*d*e^2 + 3*A*c*d^2*e))/8 + a^2*d*x^3*(A*a*e^2 + A*c*d^2 + B*a*d*e) + (c^2*e*x^9*(B*a*e^2 + B*c*d^2 + A*c*d*e))/3 + (a^3*d^2*x^2*(3*A*e + B*d))/2 + (c^3*e^2*x^10*(A*e + 3*B*d))/10 + (a*c*x^6*(A*a*e^3 + B*c*d^3 + 3*B*a*d*e^2 + 3*A*c*d^2*e))/2 + A*a^3*d^3*x + (B*c^3*e^3*x^11)/11","B"
1316,1,227,334,1.726293,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x)^2,x)","x^3\,\left(\frac{2\,B\,a^3\,d\,e}{3}+\frac{A\,a^3\,e^2}{3}+A\,c\,a^2\,d^2\right)+x^8\,\left(\frac{B\,c^3\,d^2}{8}+\frac{A\,c^3\,d\,e}{4}+\frac{3\,B\,a\,c^2\,e^2}{8}\right)+\frac{c^2\,x^7\,\left(A\,c\,d^2+6\,B\,a\,d\,e+3\,A\,a\,e^2\right)}{7}+\frac{a^2\,x^4\,\left(3\,B\,c\,d^2+6\,A\,c\,d\,e+B\,a\,e^2\right)}{4}+A\,a^3\,d^2\,x+\frac{3\,a\,c\,x^5\,\left(A\,c\,d^2+2\,B\,a\,d\,e+A\,a\,e^2\right)}{5}+\frac{a\,c\,x^6\,\left(B\,c\,d^2+2\,A\,c\,d\,e+B\,a\,e^2\right)}{2}+\frac{a^3\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c^3\,e\,x^9\,\left(A\,e+2\,B\,d\right)}{9}+\frac{B\,c^3\,e^2\,x^{10}}{10}","Not used",1,"x^3*((A*a^3*e^2)/3 + (2*B*a^3*d*e)/3 + A*a^2*c*d^2) + x^8*((B*c^3*d^2)/8 + (A*c^3*d*e)/4 + (3*B*a*c^2*e^2)/8) + (c^2*x^7*(3*A*a*e^2 + A*c*d^2 + 6*B*a*d*e))/7 + (a^2*x^4*(B*a*e^2 + 3*B*c*d^2 + 6*A*c*d*e))/4 + A*a^3*d^2*x + (3*a*c*x^5*(A*a*e^2 + A*c*d^2 + 2*B*a*d*e))/5 + (a*c*x^6*(B*a*e^2 + B*c*d^2 + 2*A*c*d*e))/2 + (a^3*d*x^2*(2*A*e + B*d))/2 + (c^3*e*x^9*(A*e + 2*B*d))/9 + (B*c^3*e^2*x^10)/10","B"
1317,1,140,148,0.066571,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x),x)","x^3\,\left(\frac{B\,e\,a^3}{3}+A\,c\,d\,a^2\right)+x^7\,\left(\frac{A\,d\,c^3}{7}+\frac{3\,B\,a\,e\,c^2}{7}\right)+x^5\,\left(\frac{3\,B\,e\,a^2\,c}{5}+\frac{3\,A\,d\,a\,c^2}{5}\right)+\frac{a^3\,x^2\,\left(A\,e+B\,d\right)}{2}+\frac{c^3\,x^8\,\left(A\,e+B\,d\right)}{8}+A\,a^3\,d\,x+\frac{B\,c^3\,e\,x^9}{9}+\frac{3\,a^2\,c\,x^4\,\left(A\,e+B\,d\right)}{4}+\frac{a\,c^2\,x^6\,\left(A\,e+B\,d\right)}{2}","Not used",1,"x^3*((B*a^3*e)/3 + A*a^2*c*d) + x^7*((A*c^3*d)/7 + (3*B*a*c^2*e)/7) + x^5*((3*A*a*c^2*d)/5 + (3*B*a^2*c*e)/5) + (a^3*x^2*(A*e + B*d))/2 + (c^3*x^8*(A*e + B*d))/8 + A*a^3*d*x + (B*c^3*e*x^9)/9 + (3*a^2*c*x^4*(A*e + B*d))/4 + (a*c^2*x^6*(A*e + B*d))/2","B"
1318,1,73,56,0.033237,"\text{Not used}","int((a + c*x^2)^3*(A + B*x),x)","\frac{B\,a^3\,x^2}{2}+A\,a^3\,x+\frac{3\,B\,a^2\,c\,x^4}{4}+A\,a^2\,c\,x^3+\frac{B\,a\,c^2\,x^6}{2}+\frac{3\,A\,a\,c^2\,x^5}{5}+\frac{B\,c^3\,x^8}{8}+\frac{A\,c^3\,x^7}{7}","Not used",1,"(B*a^3*x^2)/2 + (A*c^3*x^7)/7 + (B*c^3*x^8)/8 + A*a^3*x + A*a^2*c*x^3 + (3*A*a*c^2*x^5)/5 + (3*B*a^2*c*x^4)/4 + (B*a*c^2*x^6)/2","B"
1319,1,494,290,0.075884,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x),x)","x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,A\,a\,c^2}{e}\right)}{e}-\frac{3\,B\,a^2\,c}{e}\right)}{2\,e}+\frac{3\,A\,a^2\,c}{2\,e}\right)+x^4\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{4\,e}+\frac{3\,A\,a\,c^2}{4\,e}\right)+x^6\,\left(\frac{A\,c^3}{6\,e}-\frac{B\,c^3\,d}{6\,e^2}\right)-x^3\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,A\,a\,c^2}{e}\right)}{3\,e}-\frac{B\,a^2\,c}{e}\right)+x\,\left(\frac{B\,a^3}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,A\,a\,c^2}{e}\right)}{e}-\frac{3\,B\,a^2\,c}{e}\right)}{e}+\frac{3\,A\,a^2\,c}{e}\right)}{e}\right)-x^5\,\left(\frac{d\,\left(\frac{A\,c^3}{e}-\frac{B\,c^3\,d}{e^2}\right)}{5\,e}-\frac{3\,B\,a\,c^2}{5\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^3\,d\,e^6+A\,a^3\,e^7-3\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5-3\,B\,a\,c^2\,d^5\,e^2+3\,A\,a\,c^2\,d^4\,e^3-B\,c^3\,d^7+A\,c^3\,d^6\,e\right)}{e^8}+\frac{B\,c^3\,x^7}{7\,e}","Not used",1,"x^2*((d*((d*((d*((d*((A*c^3)/e - (B*c^3*d)/e^2))/e - (3*B*a*c^2)/e))/e + (3*A*a*c^2)/e))/e - (3*B*a^2*c)/e))/(2*e) + (3*A*a^2*c)/(2*e)) + x^4*((d*((d*((A*c^3)/e - (B*c^3*d)/e^2))/e - (3*B*a*c^2)/e))/(4*e) + (3*A*a*c^2)/(4*e)) + x^6*((A*c^3)/(6*e) - (B*c^3*d)/(6*e^2)) - x^3*((d*((d*((d*((A*c^3)/e - (B*c^3*d)/e^2))/e - (3*B*a*c^2)/e))/e + (3*A*a*c^2)/e))/(3*e) - (B*a^2*c)/e) + x*((B*a^3)/e - (d*((d*((d*((d*((d*((A*c^3)/e - (B*c^3*d)/e^2))/e - (3*B*a*c^2)/e))/e + (3*A*a*c^2)/e))/e - (3*B*a^2*c)/e))/e + (3*A*a^2*c)/e))/e) - x^5*((d*((A*c^3)/e - (B*c^3*d)/e^2))/(5*e) - (3*B*a*c^2)/(5*e)) + (log(d + e*x)*(A*a^3*e^7 - B*c^3*d^7 - B*a^3*d*e^6 + A*c^3*d^6*e + 3*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 - 3*B*a*c^2*d^5*e^2 - 3*B*a^2*c*d^3*e^4))/e^8 + (B*c^3*x^7)/(7*e)","B"
1320,1,826,309,1.740806,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^2,x)","x^3\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{3\,e}-\frac{d^2\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{3\,e^2}+\frac{A\,a\,c^2}{e^2}\right)+x^5\,\left(\frac{A\,c^3}{5\,e^2}-\frac{2\,B\,c^3\,d}{5\,e^3}\right)-x^4\,\left(\frac{d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{2\,e}-\frac{3\,B\,a\,c^2}{4\,e^2}+\frac{B\,c^3\,d^2}{4\,e^4}\right)-x\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,A\,a\,c^2}{e^2}\right)}{e}+\frac{3\,B\,a^2\,c}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,A\,a\,c^2}{e^2}\right)}{e^2}-\frac{3\,A\,a^2\,c}{e^2}\right)+x^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{2\,e^2}-\frac{d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,c^3}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,A\,a\,c^2}{e^2}\right)}{e}+\frac{3\,B\,a^2\,c}{2\,e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^3\,e^6+9\,B\,a^2\,c\,d^2\,e^4-6\,A\,a^2\,c\,d\,e^5+15\,B\,a\,c^2\,d^4\,e^2-12\,A\,a\,c^2\,d^3\,e^3+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)}{e^8}-\frac{-B\,a^3\,d\,e^6+A\,a^3\,e^7-3\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5-3\,B\,a\,c^2\,d^5\,e^2+3\,A\,a\,c^2\,d^4\,e^3-B\,c^3\,d^7+A\,c^3\,d^6\,e}{e\,\left(x\,e^8+d\,e^7\right)}+\frac{B\,c^3\,x^6}{6\,e^2}","Not used",1,"x^3*((2*d*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/(3*e) - (d^2*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/(3*e^2) + (A*a*c^2)/e^2) + x^5*((A*c^3)/(5*e^2) - (2*B*c^3*d)/(5*e^3)) - x^4*((d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/(2*e) - (3*B*a*c^2)/(4*e^2) + (B*c^3*d^2)/(4*e^4)) - x*((2*d*((d^2*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (3*A*a*c^2)/e^2))/e + (3*B*a^2*c)/e^2))/e + (d^2*((2*d*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (3*A*a*c^2)/e^2))/e^2 - (3*A*a^2*c)/e^2) + x^2*((d^2*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/(2*e^2) - (d*((2*d*((2*d*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e - (3*B*a*c^2)/e^2 + (B*c^3*d^2)/e^4))/e - (d^2*((A*c^3)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (3*A*a*c^2)/e^2))/e + (3*B*a^2*c)/(2*e^2)) + (log(d + e*x)*(B*a^3*e^6 + 7*B*c^3*d^6 - 6*A*c^3*d^5*e - 12*A*a*c^2*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5))/e^8 - (A*a^3*e^7 - B*c^3*d^7 - B*a^3*d*e^6 + A*c^3*d^6*e + 3*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 - 3*B*a*c^2*d^5*e^2 - 3*B*a^2*c*d^3*e^4)/(e*(d*e^7 + e^8*x)) + (B*c^3*x^6)/(6*e^2)","B"
1321,1,681,300,0.143807,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^3,x)","x^4\,\left(\frac{A\,c^3}{4\,e^3}-\frac{3\,B\,c^3\,d}{4\,e^4}\right)-\frac{\frac{B\,a^3\,d\,e^6+A\,a^3\,e^7+15\,B\,a^2\,c\,d^3\,e^4-9\,A\,a^2\,c\,d^2\,e^5+27\,B\,a\,c^2\,d^5\,e^2-21\,A\,a\,c^2\,d^4\,e^3+13\,B\,c^3\,d^7-11\,A\,c^3\,d^6\,e}{2\,e}+x\,\left(B\,a^3\,e^6+9\,B\,a^2\,c\,d^2\,e^4-6\,A\,a^2\,c\,d\,e^5+15\,B\,a\,c^2\,d^4\,e^2-12\,A\,a\,c^2\,d^3\,e^3+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}-x\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^2}+\frac{3\,A\,a\,c^2}{e^3}-\frac{B\,c^3\,d^3}{e^6}\right)}{e}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e^2}+\frac{d^3\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^3}-\frac{3\,B\,a^2\,c}{e^3}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{B\,a\,c^2}{e^3}+\frac{B\,c^3\,d^2}{e^5}\right)+x^2\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{2\,e}-\frac{3\,d^2\,\left(\frac{A\,c^3}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{2\,e^2}+\frac{3\,A\,a\,c^2}{2\,e^3}-\frac{B\,c^3\,d^3}{2\,e^6}\right)-\frac{\ln\left(d+e\,x\right)\,\left(9\,B\,a^2\,c\,d\,e^4-3\,A\,a^2\,c\,e^5+30\,B\,a\,c^2\,d^3\,e^2-18\,A\,a\,c^2\,d^2\,e^3+21\,B\,c^3\,d^5-15\,A\,c^3\,d^4\,e\right)}{e^8}+\frac{B\,c^3\,x^5}{5\,e^3}","Not used",1,"x^4*((A*c^3)/(4*e^3) - (3*B*c^3*d)/(4*e^4)) - ((A*a^3*e^7 + 13*B*c^3*d^7 + B*a^3*d*e^6 - 11*A*c^3*d^6*e - 21*A*a*c^2*d^4*e^3 - 9*A*a^2*c*d^2*e^5 + 27*B*a*c^2*d^5*e^2 + 15*B*a^2*c*d^3*e^4)/(2*e) + x*(B*a^3*e^6 + 7*B*c^3*d^6 - 6*A*c^3*d^5*e - 12*A*a*c^2*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) - x*((3*d*((3*d*((3*d*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e - (3*B*a*c^2)/e^3 + (3*B*c^3*d^2)/e^5))/e - (3*d^2*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e^2 + (3*A*a*c^2)/e^3 - (B*c^3*d^3)/e^6))/e - (3*d^2*((3*d*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e - (3*B*a*c^2)/e^3 + (3*B*c^3*d^2)/e^5))/e^2 + (d^3*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e^3 - (3*B*a^2*c)/e^3) - x^3*((d*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e - (B*a*c^2)/e^3 + (B*c^3*d^2)/e^5) + x^2*((3*d*((3*d*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/e - (3*B*a*c^2)/e^3 + (3*B*c^3*d^2)/e^5))/(2*e) - (3*d^2*((A*c^3)/e^3 - (3*B*c^3*d)/e^4))/(2*e^2) + (3*A*a*c^2)/(2*e^3) - (B*c^3*d^3)/(2*e^6)) - (log(d + e*x)*(21*B*c^3*d^5 - 3*A*a^2*c*e^5 - 15*A*c^3*d^4*e - 18*A*a*c^2*d^2*e^3 + 30*B*a*c^2*d^3*e^2 + 9*B*a^2*c*d*e^4))/e^8 + (B*c^3*x^5)/(5*e^3)","B"
1322,1,548,310,1.779775,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^4,x)","x^3\,\left(\frac{A\,c^3}{3\,e^4}-\frac{4\,B\,c^3\,d}{3\,e^5}\right)-\frac{\frac{B\,a^3\,d\,e^6+2\,A\,a^3\,e^7-33\,B\,a^2\,c\,d^3\,e^4+6\,A\,a^2\,c\,d^2\,e^5-141\,B\,a\,c^2\,d^5\,e^2+78\,A\,a\,c^2\,d^4\,e^3-107\,B\,c^3\,d^7+74\,A\,c^3\,d^6\,e}{6\,e}+x^2\,\left(-9\,B\,a^2\,c\,d\,e^5+3\,A\,a^2\,c\,e^6-30\,B\,a\,c^2\,d^3\,e^3+18\,A\,a\,c^2\,d^2\,e^4-21\,B\,c^3\,d^5\,e+15\,A\,c^3\,d^4\,e^2\right)+x\,\left(\frac{B\,a^3\,e^6}{2}-\frac{27\,B\,a^2\,c\,d^2\,e^4}{2}+3\,A\,a^2\,c\,d\,e^5-\frac{105\,B\,a\,c^2\,d^4\,e^2}{2}+30\,A\,a\,c^2\,d^3\,e^3-\frac{77\,B\,c^3\,d^6}{2}+27\,A\,c^3\,d^5\,e\right)}{d^3\,e^7+3\,d^2\,e^8\,x+3\,d\,e^9\,x^2+e^{10}\,x^3}+x\,\left(\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,c^3}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,B\,a\,c^2}{e^4}+\frac{6\,B\,c^3\,d^2}{e^6}\right)}{e}-\frac{6\,d^2\,\left(\frac{A\,c^3}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e^2}+\frac{3\,A\,a\,c^2}{e^4}-\frac{4\,B\,c^3\,d^3}{e^7}\right)-x^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,B\,a\,c^2}{2\,e^4}+\frac{3\,B\,c^3\,d^2}{e^6}\right)+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,a^2\,c\,e^4+30\,B\,a\,c^2\,d^2\,e^2-12\,A\,a\,c^2\,d\,e^3+35\,B\,c^3\,d^4-20\,A\,c^3\,d^3\,e\right)}{e^8}+\frac{B\,c^3\,x^4}{4\,e^4}","Not used",1,"x^3*((A*c^3)/(3*e^4) - (4*B*c^3*d)/(3*e^5)) - ((2*A*a^3*e^7 - 107*B*c^3*d^7 + B*a^3*d*e^6 + 74*A*c^3*d^6*e + 78*A*a*c^2*d^4*e^3 + 6*A*a^2*c*d^2*e^5 - 141*B*a*c^2*d^5*e^2 - 33*B*a^2*c*d^3*e^4)/(6*e) + x^2*(3*A*a^2*c*e^6 - 21*B*c^3*d^5*e + 15*A*c^3*d^4*e^2 + 18*A*a*c^2*d^2*e^4 - 30*B*a*c^2*d^3*e^3 - 9*B*a^2*c*d*e^5) + x*((B*a^3*e^6)/2 - (77*B*c^3*d^6)/2 + 27*A*c^3*d^5*e + 30*A*a*c^2*d^3*e^3 - (105*B*a*c^2*d^4*e^2)/2 - (27*B*a^2*c*d^2*e^4)/2 + 3*A*a^2*c*d*e^5))/(d^3*e^7 + e^10*x^3 + 3*d^2*e^8*x + 3*d*e^9*x^2) + x*((4*d*((4*d*((A*c^3)/e^4 - (4*B*c^3*d)/e^5))/e - (3*B*a*c^2)/e^4 + (6*B*c^3*d^2)/e^6))/e - (6*d^2*((A*c^3)/e^4 - (4*B*c^3*d)/e^5))/e^2 + (3*A*a*c^2)/e^4 - (4*B*c^3*d^3)/e^7) - x^2*((2*d*((A*c^3)/e^4 - (4*B*c^3*d)/e^5))/e - (3*B*a*c^2)/(2*e^4) + (3*B*c^3*d^2)/e^6) + (log(d + e*x)*(35*B*c^3*d^4 + 3*B*a^2*c*e^4 - 20*A*c^3*d^3*e + 30*B*a*c^2*d^2*e^2 - 12*A*a*c^2*d*e^3))/e^8 + (B*c^3*x^4)/(4*e^4)","B"
1323,1,501,314,1.797393,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^5,x)","x^2\,\left(\frac{A\,c^3}{2\,e^5}-\frac{5\,B\,c^3\,d}{2\,e^6}\right)-x\,\left(\frac{5\,d\,\left(\frac{A\,c^3}{e^5}-\frac{5\,B\,c^3\,d}{e^6}\right)}{e}-\frac{3\,B\,a\,c^2}{e^5}+\frac{10\,B\,c^3\,d^2}{e^7}\right)-\frac{\frac{B\,a^3\,d\,e^6+3\,A\,a^3\,e^7+9\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5+231\,B\,a\,c^2\,d^5\,e^2-75\,A\,a\,c^2\,d^4\,e^3+319\,B\,c^3\,d^7-171\,A\,c^3\,d^6\,e}{12\,e}+x^2\,\left(\frac{9\,B\,a^2\,c\,d\,e^5}{2}+\frac{3\,A\,a^2\,c\,e^6}{2}+75\,B\,a\,c^2\,d^3\,e^3-27\,A\,a\,c^2\,d^2\,e^4+\frac{189\,B\,c^3\,d^5\,e}{2}-\frac{105\,A\,c^3\,d^4\,e^2}{2}\right)+x^3\,\left(3\,B\,a^2\,c\,e^6+30\,B\,a\,c^2\,d^2\,e^4-12\,A\,a\,c^2\,d\,e^5+35\,B\,c^3\,d^4\,e^2-20\,A\,c^3\,d^3\,e^3\right)+x\,\left(\frac{B\,a^3\,e^6}{3}+3\,B\,a^2\,c\,d^2\,e^4+A\,a^2\,c\,d\,e^5+65\,B\,a\,c^2\,d^4\,e^2-22\,A\,a\,c^2\,d^3\,e^3+\frac{259\,B\,c^3\,d^6}{3}-47\,A\,c^3\,d^5\,e\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}-\frac{\ln\left(d+e\,x\right)\,\left(35\,B\,c^3\,d^3-15\,A\,c^3\,d^2\,e+15\,B\,a\,c^2\,d\,e^2-3\,A\,a\,c^2\,e^3\right)}{e^8}+\frac{B\,c^3\,x^3}{3\,e^5}","Not used",1,"x^2*((A*c^3)/(2*e^5) - (5*B*c^3*d)/(2*e^6)) - x*((5*d*((A*c^3)/e^5 - (5*B*c^3*d)/e^6))/e - (3*B*a*c^2)/e^5 + (10*B*c^3*d^2)/e^7) - ((3*A*a^3*e^7 + 319*B*c^3*d^7 + B*a^3*d*e^6 - 171*A*c^3*d^6*e - 75*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 + 231*B*a*c^2*d^5*e^2 + 9*B*a^2*c*d^3*e^4)/(12*e) + x^2*((3*A*a^2*c*e^6)/2 + (189*B*c^3*d^5*e)/2 - (105*A*c^3*d^4*e^2)/2 - 27*A*a*c^2*d^2*e^4 + 75*B*a*c^2*d^3*e^3 + (9*B*a^2*c*d*e^5)/2) + x^3*(3*B*a^2*c*e^6 - 20*A*c^3*d^3*e^3 + 35*B*c^3*d^4*e^2 + 30*B*a*c^2*d^2*e^4 - 12*A*a*c^2*d*e^5) + x*((B*a^3*e^6)/3 + (259*B*c^3*d^6)/3 - 47*A*c^3*d^5*e - 22*A*a*c^2*d^3*e^3 + 65*B*a*c^2*d^4*e^2 + 3*B*a^2*c*d^2*e^4 + A*a^2*c*d*e^5))/(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) - (log(d + e*x)*(35*B*c^3*d^3 - 3*A*a*c^2*e^3 - 15*A*c^3*d^2*e + 15*B*a*c^2*d*e^2))/e^8 + (B*c^3*x^3)/(3*e^5)","B"
1324,1,494,313,0.164784,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^6,x)","x\,\left(\frac{A\,c^3}{e^6}-\frac{6\,B\,c^3\,d}{e^7}\right)-\frac{\frac{B\,a^3\,d\,e^6+4\,A\,a^3\,e^7+3\,B\,a^2\,c\,d^3\,e^4+2\,A\,a^2\,c\,d^2\,e^5-137\,B\,a\,c^2\,d^5\,e^2+12\,A\,a\,c^2\,d^4\,e^3-459\,B\,c^3\,d^7+174\,A\,c^3\,d^6\,e}{20\,e}+x^2\,\left(\frac{3\,B\,a^2\,c\,d\,e^5}{2}+A\,a^2\,c\,e^6-55\,B\,a\,c^2\,d^3\,e^3+6\,A\,a\,c^2\,d^2\,e^4-\frac{329\,B\,c^3\,d^5\,e}{2}+65\,A\,c^3\,d^4\,e^2\right)+x^3\,\left(\frac{3\,B\,a^2\,c\,e^6}{2}-45\,B\,a\,c^2\,d^2\,e^4+6\,A\,a\,c^2\,d\,e^5-\frac{245\,B\,c^3\,d^4\,e^2}{2}+50\,A\,c^3\,d^3\,e^3\right)+x\,\left(\frac{B\,a^3\,e^6}{4}+\frac{3\,B\,a^2\,c\,d^2\,e^4}{4}+\frac{A\,a^2\,c\,d\,e^5}{2}-\frac{125\,B\,a\,c^2\,d^4\,e^2}{4}+3\,A\,a\,c^2\,d^3\,e^3-\frac{399\,B\,c^3\,d^6}{4}+\frac{77\,A\,c^3\,d^5\,e}{2}\right)+x^4\,\left(-35\,B\,c^3\,d^3\,e^3+15\,A\,c^3\,d^2\,e^4-15\,B\,a\,c^2\,d\,e^5+3\,A\,a\,c^2\,e^6\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(21\,B\,c^3\,d^2-6\,A\,c^3\,d\,e+3\,B\,a\,c^2\,e^2\right)}{e^8}+\frac{B\,c^3\,x^2}{2\,e^6}","Not used",1,"x*((A*c^3)/e^6 - (6*B*c^3*d)/e^7) - ((4*A*a^3*e^7 - 459*B*c^3*d^7 + B*a^3*d*e^6 + 174*A*c^3*d^6*e + 12*A*a*c^2*d^4*e^3 + 2*A*a^2*c*d^2*e^5 - 137*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4)/(20*e) + x^2*(A*a^2*c*e^6 - (329*B*c^3*d^5*e)/2 + 65*A*c^3*d^4*e^2 + 6*A*a*c^2*d^2*e^4 - 55*B*a*c^2*d^3*e^3 + (3*B*a^2*c*d*e^5)/2) + x^3*((3*B*a^2*c*e^6)/2 + 50*A*c^3*d^3*e^3 - (245*B*c^3*d^4*e^2)/2 - 45*B*a*c^2*d^2*e^4 + 6*A*a*c^2*d*e^5) + x*((B*a^3*e^6)/4 - (399*B*c^3*d^6)/4 + (77*A*c^3*d^5*e)/2 + 3*A*a*c^2*d^3*e^3 - (125*B*a*c^2*d^4*e^2)/4 + (3*B*a^2*c*d^2*e^4)/4 + (A*a^2*c*d*e^5)/2) + x^4*(3*A*a*c^2*e^6 + 15*A*c^3*d^2*e^4 - 35*B*c^3*d^3*e^3 - 15*B*a*c^2*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*c^3*d^2 - 6*A*c^3*d*e + 3*B*a*c^2*e^2))/e^8 + (B*c^3*x^2)/(2*e^6)","B"
1325,1,505,320,1.862339,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^7,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c^3\,e-7\,B\,c^3\,d\right)}{e^8}-\frac{\frac{2\,B\,a^3\,d\,e^6+10\,A\,a^3\,e^7+3\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5+30\,B\,a\,c^2\,d^5\,e^2+6\,A\,a\,c^2\,d^4\,e^3+669\,B\,c^3\,d^7-147\,A\,c^3\,d^6\,e}{60\,e}+x^2\,\left(\frac{3\,B\,a^2\,c\,d\,e^5}{4}+\frac{3\,A\,a^2\,c\,e^6}{4}+\frac{15\,B\,a\,c^2\,d^3\,e^3}{2}+\frac{3\,A\,a\,c^2\,d^2\,e^4}{2}+\frac{539\,B\,c^3\,d^5\,e}{4}-\frac{125\,A\,c^3\,d^4\,e^2}{4}\right)+x^3\,\left(B\,a^2\,c\,e^6+10\,B\,a\,c^2\,d^2\,e^4+2\,A\,a\,c^2\,d\,e^5+\frac{455\,B\,c^3\,d^4\,e^2}{3}-\frac{110\,A\,c^3\,d^3\,e^3}{3}\right)+x^5\,\left(21\,B\,c^3\,d^2\,e^4-6\,A\,c^3\,d\,e^5+3\,B\,a\,c^2\,e^6\right)+x\,\left(\frac{B\,a^3\,e^6}{5}+\frac{3\,B\,a^2\,c\,d^2\,e^4}{10}+\frac{3\,A\,a^2\,c\,d\,e^5}{10}+3\,B\,a\,c^2\,d^4\,e^2+\frac{3\,A\,a\,c^2\,d^3\,e^3}{5}+\frac{609\,B\,c^3\,d^6}{10}-\frac{137\,A\,c^3\,d^5\,e}{10}\right)+x^4\,\left(\frac{175\,B\,c^3\,d^3\,e^3}{2}-\frac{45\,A\,c^3\,d^2\,e^4}{2}+\frac{15\,B\,a\,c^2\,d\,e^5}{2}+\frac{3\,A\,a\,c^2\,e^6}{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\,c^3\,x}{e^7}","Not used",1,"(log(d + e*x)*(A*c^3*e - 7*B*c^3*d))/e^8 - ((10*A*a^3*e^7 + 669*B*c^3*d^7 + 2*B*a^3*d*e^6 - 147*A*c^3*d^6*e + 6*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 + 30*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4)/(60*e) + x^2*((3*A*a^2*c*e^6)/4 + (539*B*c^3*d^5*e)/4 - (125*A*c^3*d^4*e^2)/4 + (3*A*a*c^2*d^2*e^4)/2 + (15*B*a*c^2*d^3*e^3)/2 + (3*B*a^2*c*d*e^5)/4) + x^3*(B*a^2*c*e^6 - (110*A*c^3*d^3*e^3)/3 + (455*B*c^3*d^4*e^2)/3 + 10*B*a*c^2*d^2*e^4 + 2*A*a*c^2*d*e^5) + x^5*(3*B*a*c^2*e^6 - 6*A*c^3*d*e^5 + 21*B*c^3*d^2*e^4) + x*((B*a^3*e^6)/5 + (609*B*c^3*d^6)/10 - (137*A*c^3*d^5*e)/10 + (3*A*a*c^2*d^3*e^3)/5 + 3*B*a*c^2*d^4*e^2 + (3*B*a^2*c*d^2*e^4)/10 + (3*A*a^2*c*d*e^5)/10) + x^4*((3*A*a*c^2*e^6)/2 - (45*A*c^3*d^2*e^4)/2 + (175*B*c^3*d^3*e^3)/2 + (15*B*a*c^2*d*e^5)/2))/(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*c^3*x)/e^7","B"
1326,1,448,327,1.811556,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^8,x)","\frac{B\,c^3\,\ln\left(d+e\,x\right)}{e^8}-\frac{x^3\,\left(\frac{3\,B\,a^2\,c\,e^7}{4}+\frac{5\,B\,a\,c^2\,d^2\,e^5}{2}+A\,a\,c^2\,d\,e^6-\frac{875\,B\,c^3\,d^4\,e^3}{12}+5\,A\,c^3\,d^3\,e^4\right)+x^6\,\left(A\,c^3\,e^7-7\,B\,c^3\,d\,e^6\right)+x^2\,\left(\frac{9\,B\,a^2\,c\,d\,e^6}{20}+\frac{3\,A\,a^2\,c\,e^7}{5}+\frac{3\,B\,a\,c^2\,d^3\,e^4}{2}+\frac{3\,A\,a\,c^2\,d^2\,e^5}{5}-\frac{959\,B\,c^3\,d^5\,e^2}{20}+3\,A\,c^3\,d^4\,e^3\right)+x^5\,\left(-\frac{63\,B\,c^3\,d^2\,e^5}{2}+3\,A\,c^3\,d\,e^6+\frac{3\,B\,a\,c^2\,e^7}{2}\right)+x\,\left(\frac{B\,a^3\,e^7}{6}+\frac{3\,B\,a^2\,c\,d^2\,e^5}{20}+\frac{A\,a^2\,c\,d\,e^6}{5}+\frac{B\,a\,c^2\,d^4\,e^3}{2}+\frac{A\,a\,c^2\,d^3\,e^4}{5}-\frac{343\,B\,c^3\,d^6\,e}{20}+A\,c^3\,d^5\,e^2\right)+x^4\,\left(-\frac{385\,B\,c^3\,d^3\,e^4}{6}+5\,A\,c^3\,d^2\,e^5+\frac{5\,B\,a\,c^2\,d\,e^6}{2}+A\,a\,c^2\,e^7\right)+\frac{A\,a^3\,e^7}{7}-\frac{363\,B\,c^3\,d^7}{140}+\frac{B\,a^3\,d\,e^6}{42}+\frac{A\,c^3\,d^6\,e}{7}+\frac{A\,a\,c^2\,d^4\,e^3}{35}+\frac{A\,a^2\,c\,d^2\,e^5}{35}+\frac{B\,a\,c^2\,d^5\,e^2}{14}+\frac{3\,B\,a^2\,c\,d^3\,e^4}{140}}{e^8\,{\left(d+e\,x\right)}^7}","Not used",1,"(B*c^3*log(d + e*x))/e^8 - (x^3*((3*B*a^2*c*e^7)/4 + 5*A*c^3*d^3*e^4 - (875*B*c^3*d^4*e^3)/12 + (5*B*a*c^2*d^2*e^5)/2 + A*a*c^2*d*e^6) + x^6*(A*c^3*e^7 - 7*B*c^3*d*e^6) + x^2*((3*A*a^2*c*e^7)/5 + 3*A*c^3*d^4*e^3 - (959*B*c^3*d^5*e^2)/20 + (3*A*a*c^2*d^2*e^5)/5 + (3*B*a*c^2*d^3*e^4)/2 + (9*B*a^2*c*d*e^6)/20) + x^5*((3*B*a*c^2*e^7)/2 + 3*A*c^3*d*e^6 - (63*B*c^3*d^2*e^5)/2) + x*((B*a^3*e^7)/6 - (343*B*c^3*d^6*e)/20 + A*c^3*d^5*e^2 + (A*a*c^2*d^3*e^4)/5 + (B*a*c^2*d^4*e^3)/2 + (3*B*a^2*c*d^2*e^5)/20 + (A*a^2*c*d*e^6)/5) + x^4*(A*a*c^2*e^7 + 5*A*c^3*d^2*e^5 - (385*B*c^3*d^3*e^4)/6 + (5*B*a*c^2*d*e^6)/2) + (A*a^3*e^7)/7 - (363*B*c^3*d^7)/140 + (B*a^3*d*e^6)/42 + (A*c^3*d^6*e)/7 + (A*a*c^2*d^4*e^3)/35 + (A*a^2*c*d^2*e^5)/35 + (B*a*c^2*d^5*e^2)/14 + (3*B*a^2*c*d^3*e^4)/140)/(e^8*(d + e*x)^7)","B"
1327,1,570,330,0.159153,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^9,x)","-\frac{5\,B\,a^3\,d\,e^6+40\,B\,a^3\,e^7\,x+35\,A\,a^3\,e^7+3\,B\,a^2\,c\,d^3\,e^4+24\,B\,a^2\,c\,d^2\,e^5\,x+5\,A\,a^2\,c\,d^2\,e^5+84\,B\,a^2\,c\,d\,e^6\,x^2+40\,A\,a^2\,c\,d\,e^6\,x+168\,B\,a^2\,c\,e^7\,x^3+140\,A\,a^2\,c\,e^7\,x^2+5\,B\,a\,c^2\,d^5\,e^2+40\,B\,a\,c^2\,d^4\,e^3\,x+3\,A\,a\,c^2\,d^4\,e^3+140\,B\,a\,c^2\,d^3\,e^4\,x^2+24\,A\,a\,c^2\,d^3\,e^4\,x+280\,B\,a\,c^2\,d^2\,e^5\,x^3+84\,A\,a\,c^2\,d^2\,e^5\,x^2+350\,B\,a\,c^2\,d\,e^6\,x^4+168\,A\,a\,c^2\,d\,e^6\,x^3+280\,B\,a\,c^2\,e^7\,x^5+210\,A\,a\,c^2\,e^7\,x^4+35\,B\,c^3\,d^7+280\,B\,c^3\,d^6\,e\,x+5\,A\,c^3\,d^6\,e+980\,B\,c^3\,d^5\,e^2\,x^2+40\,A\,c^3\,d^5\,e^2\,x+1960\,B\,c^3\,d^4\,e^3\,x^3+140\,A\,c^3\,d^4\,e^3\,x^2+2450\,B\,c^3\,d^3\,e^4\,x^4+280\,A\,c^3\,d^3\,e^4\,x^3+1960\,B\,c^3\,d^2\,e^5\,x^5+350\,A\,c^3\,d^2\,e^5\,x^4+980\,B\,c^3\,d\,e^6\,x^6+280\,A\,c^3\,d\,e^6\,x^5+280\,B\,c^3\,e^7\,x^7+140\,A\,c^3\,e^7\,x^6}{280\,d^8\,e^8+2240\,d^7\,e^9\,x+7840\,d^6\,e^{10}\,x^2+15680\,d^5\,e^{11}\,x^3+19600\,d^4\,e^{12}\,x^4+15680\,d^3\,e^{13}\,x^5+7840\,d^2\,e^{14}\,x^6+2240\,d\,e^{15}\,x^7+280\,e^{16}\,x^8}","Not used",1,"-(35*A*a^3*e^7 + 35*B*c^3*d^7 + 5*B*a^3*d*e^6 + 5*A*c^3*d^6*e + 40*B*a^3*e^7*x + 140*A*c^3*e^7*x^6 + 280*B*c^3*e^7*x^7 + 280*B*c^3*d^6*e*x + 3*A*a*c^2*d^4*e^3 + 5*A*a^2*c*d^2*e^5 + 5*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4 + 140*A*a^2*c*e^7*x^2 + 210*A*a*c^2*e^7*x^4 + 168*B*a^2*c*e^7*x^3 + 280*B*a*c^2*e^7*x^5 + 40*A*c^3*d^5*e^2*x + 280*A*c^3*d*e^6*x^5 + 980*B*c^3*d*e^6*x^6 + 140*A*c^3*d^4*e^3*x^2 + 280*A*c^3*d^3*e^4*x^3 + 350*A*c^3*d^2*e^5*x^4 + 980*B*c^3*d^5*e^2*x^2 + 1960*B*c^3*d^4*e^3*x^3 + 2450*B*c^3*d^3*e^4*x^4 + 1960*B*c^3*d^2*e^5*x^5 + 84*A*a*c^2*d^2*e^5*x^2 + 140*B*a*c^2*d^3*e^4*x^2 + 280*B*a*c^2*d^2*e^5*x^3 + 40*A*a^2*c*d*e^6*x + 24*A*a*c^2*d^3*e^4*x + 168*A*a*c^2*d*e^6*x^3 + 40*B*a*c^2*d^4*e^3*x + 24*B*a^2*c*d^2*e^5*x + 84*B*a^2*c*d*e^6*x^2 + 350*B*a*c^2*d*e^6*x^4)/(280*d^8*e^8 + 280*e^16*x^8 + 2240*d^7*e^9*x + 2240*d*e^15*x^7 + 7840*d^6*e^10*x^2 + 15680*d^5*e^11*x^3 + 19600*d^4*e^12*x^4 + 15680*d^3*e^13*x^5 + 7840*d^2*e^14*x^6)","B"
1328,1,513,334,1.802273,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^10,x)","-\frac{\frac{35\,B\,a^3\,d\,e^6+280\,A\,a^3\,e^7+15\,B\,a^2\,c\,d^3\,e^4+30\,A\,a^2\,c\,d^2\,e^5+15\,B\,a\,c^2\,d^5\,e^2+12\,A\,a\,c^2\,d^4\,e^3+35\,B\,c^3\,d^7+10\,A\,c^3\,d^6\,e}{2520\,e^8}+\frac{x\,\left(35\,B\,a^3\,e^6+15\,B\,a^2\,c\,d^2\,e^4+30\,A\,a^2\,c\,d\,e^5+15\,B\,a\,c^2\,d^4\,e^2+12\,A\,a\,c^2\,d^3\,e^3+35\,B\,c^3\,d^6+10\,A\,c^3\,d^5\,e\right)}{280\,e^7}+\frac{c^2\,x^4\,\left(35\,B\,c\,d^3+10\,A\,c\,d^2\,e+15\,B\,a\,d\,e^2+12\,A\,a\,e^3\right)}{20\,e^4}+\frac{c\,x^3\,\left(15\,B\,a^2\,e^4+15\,B\,a\,c\,d^2\,e^2+12\,A\,a\,c\,d\,e^3+35\,B\,c^2\,d^4+10\,A\,c^2\,d^3\,e\right)}{30\,e^5}+\frac{c^3\,x^6\,\left(2\,A\,e+7\,B\,d\right)}{6\,e^2}+\frac{c^2\,x^5\,\left(7\,B\,c\,d^2+2\,A\,c\,d\,e+3\,B\,a\,e^2\right)}{4\,e^3}+\frac{c\,x^2\,\left(15\,B\,a^2\,d\,e^4+30\,A\,a^2\,e^5+15\,B\,a\,c\,d^3\,e^2+12\,A\,a\,c\,d^2\,e^3+35\,B\,c^2\,d^5+10\,A\,c^2\,d^4\,e\right)}{70\,e^6}+\frac{B\,c^3\,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,"-((280*A*a^3*e^7 + 35*B*c^3*d^7 + 35*B*a^3*d*e^6 + 10*A*c^3*d^6*e + 12*A*a*c^2*d^4*e^3 + 30*A*a^2*c*d^2*e^5 + 15*B*a*c^2*d^5*e^2 + 15*B*a^2*c*d^3*e^4)/(2520*e^8) + (x*(35*B*a^3*e^6 + 35*B*c^3*d^6 + 10*A*c^3*d^5*e + 12*A*a*c^2*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 15*B*a^2*c*d^2*e^4 + 30*A*a^2*c*d*e^5))/(280*e^7) + (c^2*x^4*(12*A*a*e^3 + 35*B*c*d^3 + 15*B*a*d*e^2 + 10*A*c*d^2*e))/(20*e^4) + (c*x^3*(15*B*a^2*e^4 + 35*B*c^2*d^4 + 10*A*c^2*d^3*e + 12*A*a*c*d*e^3 + 15*B*a*c*d^2*e^2))/(30*e^5) + (c^3*x^6*(2*A*e + 7*B*d))/(6*e^2) + (c^2*x^5*(3*B*a*e^2 + 7*B*c*d^2 + 2*A*c*d*e))/(4*e^3) + (c*x^2*(30*A*a^2*e^5 + 35*B*c^2*d^5 + 15*B*a^2*d*e^4 + 10*A*c^2*d^4*e + 12*A*a*c*d^2*e^3 + 15*B*a*c*d^3*e^2))/(70*e^6) + (B*c^3*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"
1329,1,524,334,1.905292,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^11,x)","-\frac{\frac{28\,B\,a^3\,d\,e^6+252\,A\,a^3\,e^7+9\,B\,a^2\,c\,d^3\,e^4+21\,A\,a^2\,c\,d^2\,e^5+6\,B\,a\,c^2\,d^5\,e^2+6\,A\,a\,c^2\,d^4\,e^3+7\,B\,c^3\,d^7+3\,A\,c^3\,d^6\,e}{2520\,e^8}+\frac{x\,\left(28\,B\,a^3\,e^6+9\,B\,a^2\,c\,d^2\,e^4+21\,A\,a^2\,c\,d\,e^5+6\,B\,a\,c^2\,d^4\,e^2+6\,A\,a\,c^2\,d^3\,e^3+7\,B\,c^3\,d^6+3\,A\,c^3\,d^5\,e\right)}{252\,e^7}+\frac{c^2\,x^4\,\left(7\,B\,c\,d^3+3\,A\,c\,d^2\,e+6\,B\,a\,d\,e^2+6\,A\,a\,e^3\right)}{12\,e^4}+\frac{c\,x^3\,\left(9\,B\,a^2\,e^4+6\,B\,a\,c\,d^2\,e^2+6\,A\,a\,c\,d\,e^3+7\,B\,c^2\,d^4+3\,A\,c^2\,d^3\,e\right)}{21\,e^5}+\frac{c^3\,x^6\,\left(3\,A\,e+7\,B\,d\right)}{12\,e^2}+\frac{c^2\,x^5\,\left(7\,B\,c\,d^2+3\,A\,c\,d\,e+6\,B\,a\,e^2\right)}{10\,e^3}+\frac{c\,x^2\,\left(9\,B\,a^2\,d\,e^4+21\,A\,a^2\,e^5+6\,B\,a\,c\,d^3\,e^2+6\,A\,a\,c\,d^2\,e^3+7\,B\,c^2\,d^5+3\,A\,c^2\,d^4\,e\right)}{56\,e^6}+\frac{B\,c^3\,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^3*e^7 + 7*B*c^3*d^7 + 28*B*a^3*d*e^6 + 3*A*c^3*d^6*e + 6*A*a*c^2*d^4*e^3 + 21*A*a^2*c*d^2*e^5 + 6*B*a*c^2*d^5*e^2 + 9*B*a^2*c*d^3*e^4)/(2520*e^8) + (x*(28*B*a^3*e^6 + 7*B*c^3*d^6 + 3*A*c^3*d^5*e + 6*A*a*c^2*d^3*e^3 + 6*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 + 21*A*a^2*c*d*e^5))/(252*e^7) + (c^2*x^4*(6*A*a*e^3 + 7*B*c*d^3 + 6*B*a*d*e^2 + 3*A*c*d^2*e))/(12*e^4) + (c*x^3*(9*B*a^2*e^4 + 7*B*c^2*d^4 + 3*A*c^2*d^3*e + 6*A*a*c*d*e^3 + 6*B*a*c*d^2*e^2))/(21*e^5) + (c^3*x^6*(3*A*e + 7*B*d))/(12*e^2) + (c^2*x^5*(6*B*a*e^2 + 7*B*c*d^2 + 3*A*c*d*e))/(10*e^3) + (c*x^2*(21*A*a^2*e^5 + 7*B*c^2*d^5 + 9*B*a^2*d*e^4 + 3*A*c^2*d^4*e + 6*A*a*c*d^2*e^3 + 6*B*a*c*d^3*e^2))/(56*e^6) + (B*c^3*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"
1330,1,249,240,0.236335,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + c*x^2),x)","\frac{x^3\,\left(A\,e^4+4\,B\,d\,e^3\right)}{3\,c}-x\,\left(\frac{a\,\left(A\,e^4+4\,B\,d\,e^3\right)}{c^2}-\frac{2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{c}\right)-x^2\,\left(\frac{B\,a\,e^4}{2\,c^2}-\frac{d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{c}\right)+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(4\,B\,a^2\,d\,e^3+A\,a^2\,e^4-4\,B\,a\,c\,d^3\,e-6\,A\,a\,c\,d^2\,e^2+A\,c^2\,d^4\right)}{\sqrt{a}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(4\,B\,a^3\,c^3\,e^4-24\,B\,a^2\,c^4\,d^2\,e^2-16\,A\,a^2\,c^4\,d\,e^3+4\,B\,a\,c^5\,d^4+16\,A\,a\,c^5\,d^3\,e\right)}{8\,a\,c^6}+\frac{B\,e^4\,x^4}{4\,c}","Not used",1,"(x^3*(A*e^4 + 4*B*d*e^3))/(3*c) - x*((a*(A*e^4 + 4*B*d*e^3))/c^2 - (2*d^2*e*(3*A*e + 2*B*d))/c) - x^2*((B*a*e^4)/(2*c^2) - (d*e^2*(2*A*e + 3*B*d))/c) + (atan((c^(1/2)*x)/a^(1/2))*(A*a^2*e^4 + A*c^2*d^4 + 4*B*a^2*d*e^3 - 4*B*a*c*d^3*e - 6*A*a*c*d^2*e^2))/(a^(1/2)*c^(5/2)) + (log(a + c*x^2)*(4*B*a*c^5*d^4 + 4*B*a^3*c^3*e^4 - 16*A*a^2*c^4*d*e^3 - 24*B*a^2*c^4*d^2*e^2 + 16*A*a*c^5*d^3*e))/(8*a*c^6) + (B*e^4*x^4)/(4*c)","B"
1331,1,175,167,1.823274,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + c*x^2),x)","x\,\left(\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{c}-\frac{B\,a\,e^3}{c^2}\right)+\frac{x^2\,\left(A\,e^3+3\,B\,d\,e^2\right)}{2\,c}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(B\,a^2\,e^3-3\,B\,a\,c\,d^2\,e-3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{\sqrt{a}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(-12\,B\,a^2\,c^3\,d\,e^2-4\,A\,a^2\,c^3\,e^3+4\,B\,a\,c^4\,d^3+12\,A\,a\,c^4\,d^2\,e\right)}{8\,a\,c^5}+\frac{B\,e^3\,x^3}{3\,c}","Not used",1,"x*((3*d*e*(A*e + B*d))/c - (B*a*e^3)/c^2) + (x^2*(A*e^3 + 3*B*d*e^2))/(2*c) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^3 + B*a^2*e^3 - 3*A*a*c*d*e^2 - 3*B*a*c*d^2*e))/(a^(1/2)*c^(5/2)) + (log(a + c*x^2)*(4*B*a*c^4*d^3 - 4*A*a^2*c^3*e^3 - 12*B*a^2*c^3*d*e^2 + 12*A*a*c^4*d^2*e))/(8*a*c^5) + (B*e^3*x^3)/(3*c)","B"
1332,1,114,108,0.137825,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + c*x^2),x)","\frac{x\,\left(A\,e^2+2\,B\,d\,e\right)}{c}+\frac{\ln\left(c\,x^2+a\right)\,\left(-4\,B\,a^2\,c^2\,e^2+4\,B\,a\,c^3\,d^2+8\,A\,a\,c^3\,d\,e\right)}{8\,a\,c^4}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-A\,c\,d^2+2\,B\,a\,d\,e+A\,a\,e^2\right)}{\sqrt{a}\,c^{3/2}}+\frac{B\,e^2\,x^2}{2\,c}","Not used",1,"(x*(A*e^2 + 2*B*d*e))/c + (log(a + c*x^2)*(4*B*a*c^3*d^2 - 4*B*a^2*c^2*e^2 + 8*A*a*c^3*d*e))/(8*a*c^4) - (atan((c^(1/2)*x)/a^(1/2))*(A*a*e^2 - A*c*d^2 + 2*B*a*d*e))/(a^(1/2)*c^(3/2)) + (B*e^2*x^2)/(2*c)","B"
1333,1,75,64,1.732192,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + c*x^2),x)","\frac{B\,e\,x}{c}+\frac{A\,e\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{B\,d\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{A\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{c}}-\frac{B\,\sqrt{a}\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{3/2}}","Not used",1,"(B*e*x)/c + (A*e*log(a + c*x^2))/(2*c) + (B*d*log(a + c*x^2))/(2*c) + (A*d*atan((c^(1/2)*x)/a^(1/2)))/(a^(1/2)*c^(1/2)) - (B*a^(1/2)*e*atan((c^(1/2)*x)/a^(1/2)))/c^(3/2)","B"
1334,1,32,42,0.048944,"\text{Not used}","int((A + B*x)/(a + c*x^2),x)","\frac{B\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{A\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{c}}","Not used",1,"(B*log(a + c*x^2))/(2*c) + (A*atan((c^(1/2)*x)/a^(1/2)))/(a^(1/2)*c^(1/2))","B"
1335,1,535,109,3.132212,"\text{Not used}","int((A + B*x)/((a + c*x^2)*(d + e*x)),x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,e-B\,d\right)}{c\,d^2+a\,e^2}-\frac{\ln\left(B^2\,c\,e\,x-\frac{\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)+\frac{A\,d\,\sqrt{-a\,c}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)\,\left(x\,\left(3\,A\,c^2\,e^2-B\,c^2\,d\,e\right)-\frac{\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)+\frac{A\,d\,\sqrt{-a\,c}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)\,\left(x\,\left(6\,a\,c^2\,e^3-2\,c^3\,d^2\,e\right)+8\,a\,c^2\,d\,e^2\right)}{a^2\,c\,e^2+a\,c^2\,d^2}-B\,a\,c\,e^2+A\,c^2\,d\,e\right)}{a^2\,c\,e^2+a\,c^2\,d^2}+A\,B\,c\,e\right)\,\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)+\frac{A\,d\,\sqrt{-a\,c}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)}{a^2\,c\,e^2+a\,c^2\,d^2}-\frac{\ln\left(B^2\,c\,e\,x-\frac{\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)-\frac{A\,d\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)\,\left(x\,\left(3\,A\,c^2\,e^2-B\,c^2\,d\,e\right)-\frac{\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)-\frac{A\,d\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)\,\left(x\,\left(6\,a\,c^2\,e^3-2\,c^3\,d^2\,e\right)+8\,a\,c^2\,d\,e^2\right)}{a^2\,c\,e^2+a\,c^2\,d^2}-B\,a\,c\,e^2+A\,c^2\,d\,e\right)}{a^2\,c\,e^2+a\,c^2\,d^2}+A\,B\,c\,e\right)\,\left(c\,\left(a\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)-\frac{A\,d\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c}}{2}\right)}{a^2\,c\,e^2+a\,c^2\,d^2}","Not used",1,"(log(d + e*x)*(A*e - B*d))/(a*e^2 + c*d^2) - (log(B^2*c*e*x - ((c*(a*((A*e)/2 - (B*d)/2) + (A*d*(-a*c)^(1/2))/2) + (B*a*e*(-a*c)^(1/2))/2)*(x*(3*A*c^2*e^2 - B*c^2*d*e) - ((c*(a*((A*e)/2 - (B*d)/2) + (A*d*(-a*c)^(1/2))/2) + (B*a*e*(-a*c)^(1/2))/2)*(x*(6*a*c^2*e^3 - 2*c^3*d^2*e) + 8*a*c^2*d*e^2))/(a*c^2*d^2 + a^2*c*e^2) - B*a*c*e^2 + A*c^2*d*e))/(a*c^2*d^2 + a^2*c*e^2) + A*B*c*e)*(c*(a*((A*e)/2 - (B*d)/2) + (A*d*(-a*c)^(1/2))/2) + (B*a*e*(-a*c)^(1/2))/2))/(a*c^2*d^2 + a^2*c*e^2) - (log(B^2*c*e*x - ((c*(a*((A*e)/2 - (B*d)/2) - (A*d*(-a*c)^(1/2))/2) - (B*a*e*(-a*c)^(1/2))/2)*(x*(3*A*c^2*e^2 - B*c^2*d*e) - ((c*(a*((A*e)/2 - (B*d)/2) - (A*d*(-a*c)^(1/2))/2) - (B*a*e*(-a*c)^(1/2))/2)*(x*(6*a*c^2*e^3 - 2*c^3*d^2*e) + 8*a*c^2*d*e^2))/(a*c^2*d^2 + a^2*c*e^2) - B*a*c*e^2 + A*c^2*d*e))/(a*c^2*d^2 + a^2*c*e^2) + A*B*c*e)*(c*(a*((A*e)/2 - (B*d)/2) - (A*d*(-a*c)^(1/2))/2) - (B*a*e*(-a*c)^(1/2))/2))/(a*c^2*d^2 + a^2*c*e^2)","B"
1336,1,810,173,3.321896,"\text{Not used}","int((A + B*x)/((a + c*x^2)*(d + e*x)^2),x)","\frac{\ln\left(3\,B\,a^3\,e^4+3\,B\,a\,c^2\,d^4+A\,c^3\,d^4\,x+A\,a^2\,e^4\,\sqrt{-a\,c}+A\,c^2\,d^4\,\sqrt{-a\,c}+14\,A\,d^2\,e^2\,{\left(-a\,c\right)}^{3/2}+A\,a^2\,c\,e^4\,x-8\,B\,a^2\,d\,e^3\,\sqrt{-a\,c}-3\,B\,a^2\,e^4\,x\,\sqrt{-a\,c}-3\,B\,c^2\,d^4\,x\,\sqrt{-a\,c}-10\,B\,a^2\,c\,d^2\,e^2+8\,A\,d\,e^3\,x\,{\left(-a\,c\right)}^{3/2}-8\,A\,a\,c^2\,d^3\,e+8\,A\,a^2\,c\,d\,e^3+8\,B\,a\,c\,d^3\,e\,\sqrt{-a\,c}+8\,B\,a\,c^2\,d^3\,e\,x-8\,B\,a^2\,c\,d\,e^3\,x+8\,A\,c^2\,d^3\,e\,x\,\sqrt{-a\,c}-14\,A\,a\,c^2\,d^2\,e^2\,x+10\,B\,a\,c\,d^2\,e^2\,x\,\sqrt{-a\,c}\right)\,\left(c\,\left(\frac{B\,a\,d^2}{2}+\frac{A\,d^2\,\sqrt{-a\,c}}{2}-A\,a\,d\,e\right)-e^2\,\left(\frac{B\,a^2}{2}+\frac{A\,a\,\sqrt{-a\,c}}{2}\right)+B\,a\,d\,e\,\sqrt{-a\,c}\right)}{a^3\,e^4+2\,a^2\,c\,d^2\,e^2+a\,c^2\,d^4}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(B\,d^2-2\,A\,d\,e\right)-B\,a\,e^2\right)}{a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4}-\frac{\ln\left(3\,B\,a^3\,e^4+8\,B\,d^3\,e\,{\left(-a\,c\right)}^{3/2}+3\,B\,a\,c^2\,d^4+A\,c^3\,d^4\,x-A\,a^2\,e^4\,\sqrt{-a\,c}-A\,c^2\,d^4\,\sqrt{-a\,c}+A\,a^2\,c\,e^4\,x+8\,B\,a^2\,d\,e^3\,\sqrt{-a\,c}+3\,B\,a^2\,e^4\,x\,\sqrt{-a\,c}+3\,B\,c^2\,d^4\,x\,\sqrt{-a\,c}+10\,B\,d^2\,e^2\,x\,{\left(-a\,c\right)}^{3/2}-10\,B\,a^2\,c\,d^2\,e^2-8\,A\,a\,c^2\,d^3\,e+8\,A\,a^2\,c\,d\,e^3+8\,B\,a\,c^2\,d^3\,e\,x-8\,B\,a^2\,c\,d\,e^3\,x+14\,A\,a\,c\,d^2\,e^2\,\sqrt{-a\,c}-8\,A\,c^2\,d^3\,e\,x\,\sqrt{-a\,c}-14\,A\,a\,c^2\,d^2\,e^2\,x+8\,A\,a\,c\,d\,e^3\,x\,\sqrt{-a\,c}\right)\,\left(e^2\,\left(\frac{B\,a^2}{2}-\frac{A\,a\,\sqrt{-a\,c}}{2}\right)+c\,\left(\frac{A\,d^2\,\sqrt{-a\,c}}{2}-\frac{B\,a\,d^2}{2}+A\,a\,d\,e\right)+B\,a\,d\,e\,\sqrt{-a\,c}\right)}{a^3\,e^4+2\,a^2\,c\,d^2\,e^2+a\,c^2\,d^4}-\frac{A\,e-B\,d}{\left(c\,d^2+a\,e^2\right)\,\left(d+e\,x\right)}","Not used",1,"(log(3*B*a^3*e^4 + 3*B*a*c^2*d^4 + A*c^3*d^4*x + A*a^2*e^4*(-a*c)^(1/2) + A*c^2*d^4*(-a*c)^(1/2) + 14*A*d^2*e^2*(-a*c)^(3/2) + A*a^2*c*e^4*x - 8*B*a^2*d*e^3*(-a*c)^(1/2) - 3*B*a^2*e^4*x*(-a*c)^(1/2) - 3*B*c^2*d^4*x*(-a*c)^(1/2) - 10*B*a^2*c*d^2*e^2 + 8*A*d*e^3*x*(-a*c)^(3/2) - 8*A*a*c^2*d^3*e + 8*A*a^2*c*d*e^3 + 8*B*a*c*d^3*e*(-a*c)^(1/2) + 8*B*a*c^2*d^3*e*x - 8*B*a^2*c*d*e^3*x + 8*A*c^2*d^3*e*x*(-a*c)^(1/2) - 14*A*a*c^2*d^2*e^2*x + 10*B*a*c*d^2*e^2*x*(-a*c)^(1/2))*(c*((B*a*d^2)/2 + (A*d^2*(-a*c)^(1/2))/2 - A*a*d*e) - e^2*((B*a^2)/2 + (A*a*(-a*c)^(1/2))/2) + B*a*d*e*(-a*c)^(1/2)))/(a^3*e^4 + a*c^2*d^4 + 2*a^2*c*d^2*e^2) - (log(d + e*x)*(c*(B*d^2 - 2*A*d*e) - B*a*e^2))/(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2) - (log(3*B*a^3*e^4 + 8*B*d^3*e*(-a*c)^(3/2) + 3*B*a*c^2*d^4 + A*c^3*d^4*x - A*a^2*e^4*(-a*c)^(1/2) - A*c^2*d^4*(-a*c)^(1/2) + A*a^2*c*e^4*x + 8*B*a^2*d*e^3*(-a*c)^(1/2) + 3*B*a^2*e^4*x*(-a*c)^(1/2) + 3*B*c^2*d^4*x*(-a*c)^(1/2) + 10*B*d^2*e^2*x*(-a*c)^(3/2) - 10*B*a^2*c*d^2*e^2 - 8*A*a*c^2*d^3*e + 8*A*a^2*c*d*e^3 + 8*B*a*c^2*d^3*e*x - 8*B*a^2*c*d*e^3*x + 14*A*a*c*d^2*e^2*(-a*c)^(1/2) - 8*A*c^2*d^3*e*x*(-a*c)^(1/2) - 14*A*a*c^2*d^2*e^2*x + 8*A*a*c*d*e^3*x*(-a*c)^(1/2))*(e^2*((B*a^2)/2 - (A*a*(-a*c)^(1/2))/2) + c*((A*d^2*(-a*c)^(1/2))/2 - (B*a*d^2)/2 + A*a*d*e) + B*a*d*e*(-a*c)^(1/2)))/(a^3*e^4 + a*c^2*d^4 + 2*a^2*c*d^2*e^2) - (A*e - B*d)/((a*e^2 + c*d^2)*(d + e*x))","B"
1337,1,1680,251,3.642977,"\text{Not used}","int((A + B*x)/((a + c*x^2)*(d + e*x)^3),x)","\frac{\ln\left(B^2\,a^7\,e^{10}\,\sqrt{-a\,c}-A^2\,c^5\,d^{10}\,{\left(-a\,c\right)}^{3/2}-9\,A^2\,a^5\,e^{10}\,{\left(-a\,c\right)}^{3/2}+9\,B^2\,c^3\,d^{10}\,{\left(-a\,c\right)}^{5/2}+A^2\,a\,c^7\,d^{10}\,x+B^2\,a^7\,c\,e^{10}\,x+6\,A^2\,a\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}+6\,B^2\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}-106\,A^2\,c\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}+27\,B^2\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{7/2}+9\,A^2\,a^6\,c^2\,e^{10}\,x+9\,B^2\,a^2\,c^6\,d^{10}\,x-27\,A^2\,a^3\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}+106\,B^2\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{5/2}-77\,B^2\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{3/2}+77\,A^2\,c^3\,d^8\,e^2\,{\left(-a\,c\right)}^{5/2}-224\,A\,B\,a\,d^5\,e^5\,{\left(-a\,c\right)}^{7/2}+48\,A\,B\,a^5\,d\,e^9\,{\left(-a\,c\right)}^{3/2}-64\,A\,B\,c\,d^7\,e^3\,{\left(-a\,c\right)}^{7/2}-48\,A\,B\,c^3\,d^9\,e\,{\left(-a\,c\right)}^{5/2}+77\,A^2\,a^2\,c^6\,d^8\,e^2\,x+106\,A^2\,a^3\,c^5\,d^6\,e^4\,x-6\,A^2\,a^4\,c^4\,d^4\,e^6\,x-27\,A^2\,a^5\,c^3\,d^2\,e^8\,x-27\,B^2\,a^3\,c^5\,d^8\,e^2\,x-6\,B^2\,a^4\,c^4\,d^6\,e^4\,x+106\,B^2\,a^5\,c^3\,d^4\,e^6\,x+77\,B^2\,a^6\,c^2\,d^2\,e^8\,x+64\,A\,B\,a^3\,d^3\,e^7\,{\left(-a\,c\right)}^{5/2}-48\,A\,B\,a^2\,c^6\,d^9\,e\,x-48\,A\,B\,a^6\,c^2\,d\,e^9\,x+64\,A\,B\,a^3\,c^5\,d^7\,e^3\,x+224\,A\,B\,a^4\,c^4\,d^5\,e^5\,x+64\,A\,B\,a^5\,c^3\,d^3\,e^7\,x\right)\,\left(a^2\,e^3\,\left(\frac{A\,c}{2}-\frac{B\,\sqrt{-a\,c}}{2}\right)-e^2\,\left(\frac{3\,B\,a^2\,c\,d}{2}+\frac{3\,A\,a\,c\,d\,\sqrt{-a\,c}}{2}\right)-a\,e\,\left(\frac{3\,A\,c^2\,d^2}{2}-\frac{3\,B\,c\,d^2\,\sqrt{-a\,c}}{2}\right)+\frac{B\,a\,c^2\,d^3}{2}+\frac{A\,c^2\,d^3\,\sqrt{-a\,c}}{2}\right)}{a^4\,e^6+3\,a^3\,c\,d^2\,e^4+3\,a^2\,c^2\,d^4\,e^2+a\,c^3\,d^6}-\frac{\ln\left(d+e\,x\right)\,\left(\left(B\,d^3-3\,A\,d^2\,e\right)\,c^2+a\,\left(A\,e^3-3\,B\,d\,e^2\right)\,c\right)}{a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6}-\frac{\ln\left(9\,A^2\,a^5\,e^{10}\,{\left(-a\,c\right)}^{3/2}+A^2\,c^5\,d^{10}\,{\left(-a\,c\right)}^{3/2}-B^2\,a^7\,e^{10}\,\sqrt{-a\,c}-9\,B^2\,c^3\,d^{10}\,{\left(-a\,c\right)}^{5/2}+A^2\,a\,c^7\,d^{10}\,x+B^2\,a^7\,c\,e^{10}\,x-6\,A^2\,a\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}-6\,B^2\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}+106\,A^2\,c\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}-27\,B^2\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{7/2}+9\,A^2\,a^6\,c^2\,e^{10}\,x+9\,B^2\,a^2\,c^6\,d^{10}\,x+27\,A^2\,a^3\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}-106\,B^2\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{5/2}+77\,B^2\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{3/2}-77\,A^2\,c^3\,d^8\,e^2\,{\left(-a\,c\right)}^{5/2}+224\,A\,B\,a\,d^5\,e^5\,{\left(-a\,c\right)}^{7/2}-48\,A\,B\,a^5\,d\,e^9\,{\left(-a\,c\right)}^{3/2}+64\,A\,B\,c\,d^7\,e^3\,{\left(-a\,c\right)}^{7/2}+48\,A\,B\,c^3\,d^9\,e\,{\left(-a\,c\right)}^{5/2}+77\,A^2\,a^2\,c^6\,d^8\,e^2\,x+106\,A^2\,a^3\,c^5\,d^6\,e^4\,x-6\,A^2\,a^4\,c^4\,d^4\,e^6\,x-27\,A^2\,a^5\,c^3\,d^2\,e^8\,x-27\,B^2\,a^3\,c^5\,d^8\,e^2\,x-6\,B^2\,a^4\,c^4\,d^6\,e^4\,x+106\,B^2\,a^5\,c^3\,d^4\,e^6\,x+77\,B^2\,a^6\,c^2\,d^2\,e^8\,x-64\,A\,B\,a^3\,d^3\,e^7\,{\left(-a\,c\right)}^{5/2}-48\,A\,B\,a^2\,c^6\,d^9\,e\,x-48\,A\,B\,a^6\,c^2\,d\,e^9\,x+64\,A\,B\,a^3\,c^5\,d^7\,e^3\,x+224\,A\,B\,a^4\,c^4\,d^5\,e^5\,x+64\,A\,B\,a^5\,c^3\,d^3\,e^7\,x\right)\,\left(e^2\,\left(\frac{3\,B\,a^2\,c\,d}{2}-\frac{3\,A\,a\,c\,d\,\sqrt{-a\,c}}{2}\right)-a^2\,e^3\,\left(\frac{A\,c}{2}+\frac{B\,\sqrt{-a\,c}}{2}\right)+a\,e\,\left(\frac{3\,A\,c^2\,d^2}{2}+\frac{3\,B\,c\,d^2\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,c^2\,d^3}{2}+\frac{A\,c^2\,d^3\,\sqrt{-a\,c}}{2}\right)}{a^4\,e^6+3\,a^3\,c\,d^2\,e^4+3\,a^2\,c^2\,d^4\,e^2+a\,c^3\,d^6}-\frac{\frac{-3\,B\,c\,d^3+5\,A\,c\,d^2\,e+B\,a\,d\,e^2+A\,a\,e^3}{2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x\,\left(-B\,c\,d^2\,e+2\,A\,c\,d\,e^2+B\,a\,e^3\right)}{a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4}}{d^2+2\,d\,e\,x+e^2\,x^2}","Not used",1,"(log(B^2*a^7*e^10*(-a*c)^(1/2) - A^2*c^5*d^10*(-a*c)^(3/2) - 9*A^2*a^5*e^10*(-a*c)^(3/2) + 9*B^2*c^3*d^10*(-a*c)^(5/2) + A^2*a*c^7*d^10*x + B^2*a^7*c*e^10*x + 6*A^2*a*d^4*e^6*(-a*c)^(7/2) + 6*B^2*a*d^6*e^4*(-a*c)^(7/2) - 106*A^2*c*d^6*e^4*(-a*c)^(7/2) + 27*B^2*c*d^8*e^2*(-a*c)^(7/2) + 9*A^2*a^6*c^2*e^10*x + 9*B^2*a^2*c^6*d^10*x - 27*A^2*a^3*d^2*e^8*(-a*c)^(5/2) + 106*B^2*a^3*d^4*e^6*(-a*c)^(5/2) - 77*B^2*a^5*d^2*e^8*(-a*c)^(3/2) + 77*A^2*c^3*d^8*e^2*(-a*c)^(5/2) - 224*A*B*a*d^5*e^5*(-a*c)^(7/2) + 48*A*B*a^5*d*e^9*(-a*c)^(3/2) - 64*A*B*c*d^7*e^3*(-a*c)^(7/2) - 48*A*B*c^3*d^9*e*(-a*c)^(5/2) + 77*A^2*a^2*c^6*d^8*e^2*x + 106*A^2*a^3*c^5*d^6*e^4*x - 6*A^2*a^4*c^4*d^4*e^6*x - 27*A^2*a^5*c^3*d^2*e^8*x - 27*B^2*a^3*c^5*d^8*e^2*x - 6*B^2*a^4*c^4*d^6*e^4*x + 106*B^2*a^5*c^3*d^4*e^6*x + 77*B^2*a^6*c^2*d^2*e^8*x + 64*A*B*a^3*d^3*e^7*(-a*c)^(5/2) - 48*A*B*a^2*c^6*d^9*e*x - 48*A*B*a^6*c^2*d*e^9*x + 64*A*B*a^3*c^5*d^7*e^3*x + 224*A*B*a^4*c^4*d^5*e^5*x + 64*A*B*a^5*c^3*d^3*e^7*x)*(a^2*e^3*((A*c)/2 - (B*(-a*c)^(1/2))/2) - e^2*((3*B*a^2*c*d)/2 + (3*A*a*c*d*(-a*c)^(1/2))/2) - a*e*((3*A*c^2*d^2)/2 - (3*B*c*d^2*(-a*c)^(1/2))/2) + (B*a*c^2*d^3)/2 + (A*c^2*d^3*(-a*c)^(1/2))/2))/(a^4*e^6 + a*c^3*d^6 + 3*a^3*c*d^2*e^4 + 3*a^2*c^2*d^4*e^2) - (log(d + e*x)*(c^2*(B*d^3 - 3*A*d^2*e) + a*c*(A*e^3 - 3*B*d*e^2)))/(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4) - (log(9*A^2*a^5*e^10*(-a*c)^(3/2) + A^2*c^5*d^10*(-a*c)^(3/2) - B^2*a^7*e^10*(-a*c)^(1/2) - 9*B^2*c^3*d^10*(-a*c)^(5/2) + A^2*a*c^7*d^10*x + B^2*a^7*c*e^10*x - 6*A^2*a*d^4*e^6*(-a*c)^(7/2) - 6*B^2*a*d^6*e^4*(-a*c)^(7/2) + 106*A^2*c*d^6*e^4*(-a*c)^(7/2) - 27*B^2*c*d^8*e^2*(-a*c)^(7/2) + 9*A^2*a^6*c^2*e^10*x + 9*B^2*a^2*c^6*d^10*x + 27*A^2*a^3*d^2*e^8*(-a*c)^(5/2) - 106*B^2*a^3*d^4*e^6*(-a*c)^(5/2) + 77*B^2*a^5*d^2*e^8*(-a*c)^(3/2) - 77*A^2*c^3*d^8*e^2*(-a*c)^(5/2) + 224*A*B*a*d^5*e^5*(-a*c)^(7/2) - 48*A*B*a^5*d*e^9*(-a*c)^(3/2) + 64*A*B*c*d^7*e^3*(-a*c)^(7/2) + 48*A*B*c^3*d^9*e*(-a*c)^(5/2) + 77*A^2*a^2*c^6*d^8*e^2*x + 106*A^2*a^3*c^5*d^6*e^4*x - 6*A^2*a^4*c^4*d^4*e^6*x - 27*A^2*a^5*c^3*d^2*e^8*x - 27*B^2*a^3*c^5*d^8*e^2*x - 6*B^2*a^4*c^4*d^6*e^4*x + 106*B^2*a^5*c^3*d^4*e^6*x + 77*B^2*a^6*c^2*d^2*e^8*x - 64*A*B*a^3*d^3*e^7*(-a*c)^(5/2) - 48*A*B*a^2*c^6*d^9*e*x - 48*A*B*a^6*c^2*d*e^9*x + 64*A*B*a^3*c^5*d^7*e^3*x + 224*A*B*a^4*c^4*d^5*e^5*x + 64*A*B*a^5*c^3*d^3*e^7*x)*(e^2*((3*B*a^2*c*d)/2 - (3*A*a*c*d*(-a*c)^(1/2))/2) - a^2*e^3*((A*c)/2 + (B*(-a*c)^(1/2))/2) + a*e*((3*A*c^2*d^2)/2 + (3*B*c*d^2*(-a*c)^(1/2))/2) - (B*a*c^2*d^3)/2 + (A*c^2*d^3*(-a*c)^(1/2))/2))/(a^4*e^6 + a*c^3*d^6 + 3*a^3*c*d^2*e^4 + 3*a^2*c^2*d^4*e^2) - ((A*a*e^3 - 3*B*c*d^3 + B*a*d*e^2 + 5*A*c*d^2*e)/(2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x*(B*a*e^3 + 2*A*c*d*e^2 - B*c*d^2*e))/(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2))/(d^2 + e^2*x^2 + 2*d*e*x)","B"
1338,1,370,297,0.318441,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + c*x^2)^2,x)","\frac{x^2\,\left(A\,e^5+5\,B\,d\,e^4\right)}{2\,c^2}-\frac{\frac{A\,a^2\,e^5}{2}+\frac{B\,c^2\,d^5}{2}-\frac{x\,\left(-B\,a^3\,e^5+10\,B\,a^2\,c\,d^2\,e^3+5\,A\,a^2\,c\,d\,e^4-5\,B\,a\,c^2\,d^4\,e-10\,A\,a\,c^2\,d^3\,e^2+A\,c^3\,d^5\right)}{2\,a}+\frac{5\,B\,a^2\,d\,e^4}{2}+\frac{5\,A\,c^2\,d^4\,e}{2}-5\,A\,a\,c\,d^2\,e^3-5\,B\,a\,c\,d^3\,e^2}{c^4\,x^2+a\,c^3}-x\,\left(\frac{2\,B\,a\,e^5}{c^3}-\frac{5\,d\,e^3\,\left(A\,e+2\,B\,d\right)}{c^2}\right)-\frac{\ln\left(c\,x^2+a\right)\,\left(160\,B\,a^4\,c^4\,d\,e^4+32\,A\,a^4\,c^4\,e^5-160\,B\,a^3\,c^5\,d^3\,e^2-160\,A\,a^3\,c^5\,d^2\,e^3\right)}{32\,a^3\,c^7}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(5\,B\,a^3\,e^5-30\,B\,a^2\,c\,d^2\,e^3-15\,A\,a^2\,c\,d\,e^4+5\,B\,a\,c^2\,d^4\,e+10\,A\,a\,c^2\,d^3\,e^2+A\,c^3\,d^5\right)}{2\,a^{3/2}\,c^{7/2}}+\frac{B\,e^5\,x^3}{3\,c^2}","Not used",1,"(x^2*(A*e^5 + 5*B*d*e^4))/(2*c^2) - ((A*a^2*e^5)/2 + (B*c^2*d^5)/2 - (x*(A*c^3*d^5 - B*a^3*e^5 - 10*A*a*c^2*d^3*e^2 + 10*B*a^2*c*d^2*e^3 + 5*A*a^2*c*d*e^4 - 5*B*a*c^2*d^4*e))/(2*a) + (5*B*a^2*d*e^4)/2 + (5*A*c^2*d^4*e)/2 - 5*A*a*c*d^2*e^3 - 5*B*a*c*d^3*e^2)/(a*c^3 + c^4*x^2) - x*((2*B*a*e^5)/c^3 - (5*d*e^3*(A*e + 2*B*d))/c^2) - (log(a + c*x^2)*(32*A*a^4*c^4*e^5 + 160*B*a^4*c^4*d*e^4 - 160*A*a^3*c^5*d^2*e^3 - 160*B*a^3*c^5*d^3*e^2))/(32*a^3*c^7) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^3*d^5 + 5*B*a^3*e^5 + 10*A*a*c^2*d^3*e^2 - 30*B*a^2*c*d^2*e^3 - 15*A*a^2*c*d*e^4 + 5*B*a*c^2*d^4*e))/(2*a^(3/2)*c^(7/2)) + (B*e^5*x^3)/(3*c^2)","B"
1339,1,276,220,1.905688,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + c*x^2)^2,x)","\frac{x\,\left(A\,e^4+4\,B\,d\,e^3\right)}{c^2}-\frac{\frac{B\,a^2\,e^4-6\,B\,a\,c\,d^2\,e^2-4\,A\,a\,c\,d\,e^3+B\,c^2\,d^4+4\,A\,c^2\,d^3\,e}{2\,c}-\frac{x\,\left(4\,B\,a^2\,d\,e^3+A\,a^2\,e^4-4\,B\,a\,c\,d^3\,e-6\,A\,a\,c\,d^2\,e^2+A\,c^2\,d^4\right)}{2\,a}}{c^3\,x^2+a\,c^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-12\,B\,a^2\,d\,e^3-3\,A\,a^2\,e^4+4\,B\,a\,c\,d^3\,e+6\,A\,a\,c\,d^2\,e^2+A\,c^2\,d^4\right)}{2\,a^{3/2}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(-32\,B\,a^4\,c^3\,e^4+96\,B\,a^3\,c^4\,d^2\,e^2+64\,A\,a^3\,c^4\,d\,e^3\right)}{32\,a^3\,c^6}+\frac{B\,e^4\,x^2}{2\,c^2}","Not used",1,"(x*(A*e^4 + 4*B*d*e^3))/c^2 - ((B*a^2*e^4 + B*c^2*d^4 + 4*A*c^2*d^3*e - 4*A*a*c*d*e^3 - 6*B*a*c*d^2*e^2)/(2*c) - (x*(A*a^2*e^4 + A*c^2*d^4 + 4*B*a^2*d*e^3 - 4*B*a*c*d^3*e - 6*A*a*c*d^2*e^2))/(2*a))/(a*c^2 + c^3*x^2) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^4 - 3*A*a^2*e^4 - 12*B*a^2*d*e^3 + 4*B*a*c*d^3*e + 6*A*a*c*d^2*e^2))/(2*a^(3/2)*c^(5/2)) + (log(a + c*x^2)*(64*A*a^3*c^4*d*e^3 - 32*B*a^4*c^3*e^4 + 96*B*a^3*c^4*d^2*e^2))/(32*a^3*c^6) + (B*e^4*x^2)/(2*c^2)","B"
1340,1,193,161,0.187331,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + c*x^2)^2,x)","\frac{\frac{x\,\left(B\,a^2\,e^3-3\,B\,a\,c\,d^2\,e-3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{2\,a}+\frac{A\,a\,e^3}{2}-\frac{B\,c\,d^3}{2}+\frac{3\,B\,a\,d\,e^2}{2}-\frac{3\,A\,c\,d^2\,e}{2}}{c^3\,x^2+a\,c^2}+\frac{\ln\left(c\,x^2+a\right)\,\left(16\,A\,a^3\,c^3\,e^3+48\,B\,d\,a^3\,c^3\,e^2\right)}{32\,a^3\,c^5}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-3\,B\,a^2\,e^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{2\,a^{3/2}\,c^{5/2}}+\frac{B\,e^3\,x}{c^2}","Not used",1,"((x*(A*c^2*d^3 + B*a^2*e^3 - 3*A*a*c*d*e^2 - 3*B*a*c*d^2*e))/(2*a) + (A*a*e^3)/2 - (B*c*d^3)/2 + (3*B*a*d*e^2)/2 - (3*A*c*d^2*e)/2)/(a*c^2 + c^3*x^2) + (log(a + c*x^2)*(16*A*a^3*c^3*e^3 + 48*B*a^3*c^3*d*e^2))/(32*a^3*c^5) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^3 - 3*B*a^2*e^3 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(2*a^(3/2)*c^(5/2)) + (B*e^3*x)/c^2","B"
1341,1,203,112,1.803980,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + c*x^2)^2,x)","\frac{B\,a\,e^2}{2\,\left(c^3\,x^2+a\,c^2\right)}-\frac{B\,d^2}{2\,\left(c^2\,x^2+a\,c\right)}-\frac{A\,d\,e}{c^2\,x^2+a\,c}+\frac{A\,d^2\,x}{2\,\left(a^2+c\,a\,x^2\right)}-\frac{A\,e^2\,x}{2\,\left(c^2\,x^2+a\,c\right)}+\frac{B\,e^2\,\ln\left(c\,x^2+a\right)}{2\,c^2}+\frac{A\,d^2\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{c}}+\frac{A\,e^2\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{3/2}}-\frac{B\,d\,e\,x}{c^2\,x^2+a\,c}+\frac{B\,d\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,c^{3/2}}","Not used",1,"(B*a*e^2)/(2*(a*c^2 + c^3*x^2)) - (B*d^2)/(2*(a*c + c^2*x^2)) - (A*d*e)/(a*c + c^2*x^2) + (A*d^2*x)/(2*(a^2 + a*c*x^2)) - (A*e^2*x)/(2*(a*c + c^2*x^2)) + (B*e^2*log(a + c*x^2))/(2*c^2) + (A*d^2*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(3/2)*c^(1/2)) + (A*e^2*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(3/2)) - (B*d*e*x)/(a*c + c^2*x^2) + (B*d*e*atan((c^(1/2)*x)/a^(1/2)))/(a^(1/2)*c^(3/2))","B"
1342,1,70,79,1.773011,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + c*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(A\,c\,d+B\,a\,e\right)}{2\,a^{3/2}\,c^{3/2}}-\frac{\frac{A\,e+B\,d}{2\,c}-\frac{x\,\left(A\,c\,d-B\,a\,e\right)}{2\,a\,c}}{c\,x^2+a}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(A*c*d + B*a*e))/(2*a^(3/2)*c^(3/2)) - ((A*e + B*d)/(2*c) - (x*(A*c*d - B*a*e))/(2*a*c))/(a + c*x^2)","B"
1343,1,44,57,0.050898,"\text{Not used}","int((A + B*x)/(a + c*x^2)^2,x)","\frac{A\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{c}}-\frac{\frac{B}{2\,c}-\frac{A\,x}{2\,a}}{c\,x^2+a}","Not used",1,"(A*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(3/2)*c^(1/2)) - (B/(2*c) - (A*x)/(2*a))/(a + c*x^2)","B"
1344,1,1086,195,3.759857,"\text{Not used}","int((A + B*x)/((a + c*x^2)^2*(d + e*x)),x)","\frac{\frac{A\,e-B\,d}{2\,\left(c\,d^2+a\,e^2\right)}+\frac{x\,\left(A\,c\,d+B\,a\,e\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)}}{c\,x^2+a}-\frac{\ln\left(A\,c^3\,d^5\,\sqrt{-a^3\,c}-B\,a^3\,e^5\,\sqrt{-a^3\,c}-6\,A\,a^4\,c\,e^5+B\,a^4\,c\,e^5\,x+2\,A\,a^2\,c^3\,d^4\,e+12\,A\,a^3\,c^2\,d^2\,e^3-8\,B\,a^3\,c^2\,d^3\,e^2+8\,B\,a^4\,c\,d\,e^4-A\,a\,c^4\,d^5\,x-2\,A\,a^2\,c^3\,d^3\,e^2\,x-14\,B\,a^3\,c^2\,d^2\,e^3\,x+2\,A\,a\,c^2\,d^3\,e^2\,\sqrt{-a^3\,c}+14\,B\,a^2\,c\,d^2\,e^3\,\sqrt{-a^3\,c}+15\,A\,a^3\,c^2\,d\,e^4\,x+B\,a^2\,c^3\,d^4\,e\,x-15\,A\,a^2\,c\,d\,e^4\,\sqrt{-a^3\,c}-B\,a\,c^2\,d^4\,e\,\sqrt{-a^3\,c}-6\,A\,a^2\,c\,e^5\,x\,\sqrt{-a^3\,c}+2\,A\,c^3\,d^4\,e\,x\,\sqrt{-a^3\,c}+8\,B\,a^2\,c\,d\,e^4\,x\,\sqrt{-a^3\,c}+12\,A\,a\,c^2\,d^2\,e^3\,x\,\sqrt{-a^3\,c}-8\,B\,a\,c^2\,d^3\,e^2\,x\,\sqrt{-a^3\,c}\right)\,\left(c\,\left(a\,\left(\frac{3\,A\,d\,e^2\,\sqrt{-a^3\,c}}{4}-\frac{B\,d^2\,e\,\sqrt{-a^3\,c}}{4}\right)+a^3\,\left(\frac{A\,e^3}{2}-\frac{B\,d\,e^2}{2}\right)\right)+\frac{A\,c^2\,d^3\,\sqrt{-a^3\,c}}{4}+\frac{B\,a^2\,e^3\,\sqrt{-a^3\,c}}{4}\right)}{a^5\,c\,e^4+2\,a^4\,c^2\,d^2\,e^2+a^3\,c^3\,d^4}+\frac{\ln\left(A\,c^3\,d^5\,\sqrt{-a^3\,c}-B\,a^3\,e^5\,\sqrt{-a^3\,c}+6\,A\,a^4\,c\,e^5-B\,a^4\,c\,e^5\,x-2\,A\,a^2\,c^3\,d^4\,e-12\,A\,a^3\,c^2\,d^2\,e^3+8\,B\,a^3\,c^2\,d^3\,e^2-8\,B\,a^4\,c\,d\,e^4+A\,a\,c^4\,d^5\,x+2\,A\,a^2\,c^3\,d^3\,e^2\,x+14\,B\,a^3\,c^2\,d^2\,e^3\,x+2\,A\,a\,c^2\,d^3\,e^2\,\sqrt{-a^3\,c}+14\,B\,a^2\,c\,d^2\,e^3\,\sqrt{-a^3\,c}-15\,A\,a^3\,c^2\,d\,e^4\,x-B\,a^2\,c^3\,d^4\,e\,x-15\,A\,a^2\,c\,d\,e^4\,\sqrt{-a^3\,c}-B\,a\,c^2\,d^4\,e\,\sqrt{-a^3\,c}-6\,A\,a^2\,c\,e^5\,x\,\sqrt{-a^3\,c}+2\,A\,c^3\,d^4\,e\,x\,\sqrt{-a^3\,c}+8\,B\,a^2\,c\,d\,e^4\,x\,\sqrt{-a^3\,c}+12\,A\,a\,c^2\,d^2\,e^3\,x\,\sqrt{-a^3\,c}-8\,B\,a\,c^2\,d^3\,e^2\,x\,\sqrt{-a^3\,c}\right)\,\left(c\,\left(a\,\left(\frac{3\,A\,d\,e^2\,\sqrt{-a^3\,c}}{4}-\frac{B\,d^2\,e\,\sqrt{-a^3\,c}}{4}\right)-a^3\,\left(\frac{A\,e^3}{2}-\frac{B\,d\,e^2}{2}\right)\right)+\frac{A\,c^2\,d^3\,\sqrt{-a^3\,c}}{4}+\frac{B\,a^2\,e^3\,\sqrt{-a^3\,c}}{4}\right)}{a^5\,c\,e^4+2\,a^4\,c^2\,d^2\,e^2+a^3\,c^3\,d^4}+\frac{\ln\left(d+e\,x\right)\,\left(A\,e^3-B\,d\,e^2\right)}{a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4}","Not used",1,"((A*e - B*d)/(2*(a*e^2 + c*d^2)) + (x*(A*c*d + B*a*e))/(2*a*(a*e^2 + c*d^2)))/(a + c*x^2) - (log(A*c^3*d^5*(-a^3*c)^(1/2) - B*a^3*e^5*(-a^3*c)^(1/2) - 6*A*a^4*c*e^5 + B*a^4*c*e^5*x + 2*A*a^2*c^3*d^4*e + 12*A*a^3*c^2*d^2*e^3 - 8*B*a^3*c^2*d^3*e^2 + 8*B*a^4*c*d*e^4 - A*a*c^4*d^5*x - 2*A*a^2*c^3*d^3*e^2*x - 14*B*a^3*c^2*d^2*e^3*x + 2*A*a*c^2*d^3*e^2*(-a^3*c)^(1/2) + 14*B*a^2*c*d^2*e^3*(-a^3*c)^(1/2) + 15*A*a^3*c^2*d*e^4*x + B*a^2*c^3*d^4*e*x - 15*A*a^2*c*d*e^4*(-a^3*c)^(1/2) - B*a*c^2*d^4*e*(-a^3*c)^(1/2) - 6*A*a^2*c*e^5*x*(-a^3*c)^(1/2) + 2*A*c^3*d^4*e*x*(-a^3*c)^(1/2) + 8*B*a^2*c*d*e^4*x*(-a^3*c)^(1/2) + 12*A*a*c^2*d^2*e^3*x*(-a^3*c)^(1/2) - 8*B*a*c^2*d^3*e^2*x*(-a^3*c)^(1/2))*(c*(a*((3*A*d*e^2*(-a^3*c)^(1/2))/4 - (B*d^2*e*(-a^3*c)^(1/2))/4) + a^3*((A*e^3)/2 - (B*d*e^2)/2)) + (A*c^2*d^3*(-a^3*c)^(1/2))/4 + (B*a^2*e^3*(-a^3*c)^(1/2))/4))/(a^5*c*e^4 + a^3*c^3*d^4 + 2*a^4*c^2*d^2*e^2) + (log(A*c^3*d^5*(-a^3*c)^(1/2) - B*a^3*e^5*(-a^3*c)^(1/2) + 6*A*a^4*c*e^5 - B*a^4*c*e^5*x - 2*A*a^2*c^3*d^4*e - 12*A*a^3*c^2*d^2*e^3 + 8*B*a^3*c^2*d^3*e^2 - 8*B*a^4*c*d*e^4 + A*a*c^4*d^5*x + 2*A*a^2*c^3*d^3*e^2*x + 14*B*a^3*c^2*d^2*e^3*x + 2*A*a*c^2*d^3*e^2*(-a^3*c)^(1/2) + 14*B*a^2*c*d^2*e^3*(-a^3*c)^(1/2) - 15*A*a^3*c^2*d*e^4*x - B*a^2*c^3*d^4*e*x - 15*A*a^2*c*d*e^4*(-a^3*c)^(1/2) - B*a*c^2*d^4*e*(-a^3*c)^(1/2) - 6*A*a^2*c*e^5*x*(-a^3*c)^(1/2) + 2*A*c^3*d^4*e*x*(-a^3*c)^(1/2) + 8*B*a^2*c*d*e^4*x*(-a^3*c)^(1/2) + 12*A*a*c^2*d^2*e^3*x*(-a^3*c)^(1/2) - 8*B*a*c^2*d^3*e^2*x*(-a^3*c)^(1/2))*(c*(a*((3*A*d*e^2*(-a^3*c)^(1/2))/4 - (B*d^2*e*(-a^3*c)^(1/2))/4) - a^3*((A*e^3)/2 - (B*d*e^2)/2)) + (A*c^2*d^3*(-a^3*c)^(1/2))/4 + (B*a^2*e^3*(-a^3*c)^(1/2))/4))/(a^5*c*e^4 + a^3*c^3*d^4 + 2*a^4*c^2*d^2*e^2) + (log(d + e*x)*(A*e^3 - B*d*e^2))/(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)","B"
1345,1,2029,290,4.047108,"\text{Not used}","int((A + B*x)/((a + c*x^2)^2*(d + e*x)^2),x)","\frac{\frac{x\,\left(A\,c\,d+B\,a\,e\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)}-\frac{B\,c\,d^3-2\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+2\,A\,a\,e^3}{2\,{\left(c\,d^2+a\,e^2\right)}^2}+\frac{x^2\,\left(A\,c^2\,d^2\,e+4\,B\,a\,c\,d\,e^2-3\,A\,a\,c\,e^3\right)}{2\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{c\,e\,x^3+c\,d\,x^2+a\,e\,x+a\,d}+\frac{\ln\left(9\,A^2\,a^6\,e^{12}\,{\left(-a^3\,c\right)}^{3/2}+A^2\,c^6\,d^{12}\,{\left(-a^3\,c\right)}^{3/2}-36\,B^2\,a^{10}\,e^{12}\,\sqrt{-a^3\,c}-558\,A^2\,a^2\,d^2\,e^{10}\,{\left(-a^3\,c\right)}^{5/2}+24\,B^2\,a^2\,d^4\,e^8\,{\left(-a^3\,c\right)}^{5/2}-108\,B^2\,a^6\,d^2\,e^{10}\,{\left(-a^3\,c\right)}^{3/2}-612\,A^2\,c^2\,d^6\,e^6\,{\left(-a^3\,c\right)}^{5/2}-308\,B^2\,c^2\,d^8\,e^4\,{\left(-a^3\,c\right)}^{5/2}+36\,B^2\,a^{11}\,c\,e^{12}\,x+A^2\,a^4\,c^8\,d^{12}\,x+9\,A^2\,a^{10}\,c^2\,e^{12}\,x+276\,A\,B\,a^2\,d^3\,e^9\,{\left(-a^3\,c\right)}^{5/2}+808\,A\,B\,c^2\,d^7\,e^5\,{\left(-a^3\,c\right)}^{5/2}-1119\,A^2\,a\,c\,d^4\,e^8\,{\left(-a^3\,c\right)}^{5/2}-424\,B^2\,a\,c\,d^6\,e^6\,{\left(-a^3\,c\right)}^{5/2}+14\,A^2\,a^5\,c^7\,d^{10}\,e^2\,x+55\,A^2\,a^6\,c^6\,d^8\,e^4\,x+612\,A^2\,a^7\,c^5\,d^6\,e^6\,x+1119\,A^2\,a^8\,c^4\,d^4\,e^8\,x+558\,A^2\,a^9\,c^3\,d^2\,e^{10}\,x+4\,B^2\,a^6\,c^6\,d^{10}\,e^2\,x+308\,B^2\,a^7\,c^5\,d^8\,e^4\,x+424\,B^2\,a^8\,c^4\,d^6\,e^6\,x-24\,B^2\,a^9\,c^3\,d^4\,e^8\,x-108\,B^2\,a^{10}\,c^2\,d^2\,e^{10}\,x+14\,A^2\,a\,c^5\,d^{10}\,e^2\,{\left(-a^3\,c\right)}^{3/2}+252\,A\,B\,a^6\,d\,e^{11}\,{\left(-a^3\,c\right)}^{3/2}+55\,A^2\,a^2\,c^4\,d^8\,e^4\,{\left(-a^3\,c\right)}^{3/2}+4\,B^2\,a^2\,c^4\,d^{10}\,e^2\,{\left(-a^3\,c\right)}^{3/2}-4\,A\,B\,a^5\,c^7\,d^{11}\,e\,x+252\,A\,B\,a^{10}\,c^2\,d\,e^{11}\,x+1320\,A\,B\,a\,c\,d^5\,e^7\,{\left(-a^3\,c\right)}^{5/2}-4\,A\,B\,a\,c^5\,d^{11}\,e\,{\left(-a^3\,c\right)}^{3/2}-20\,A\,B\,a^6\,c^6\,d^9\,e^3\,x-808\,A\,B\,a^7\,c^5\,d^7\,e^5\,x-1320\,A\,B\,a^8\,c^4\,d^5\,e^7\,x-276\,A\,B\,a^9\,c^3\,d^3\,e^9\,x-20\,A\,B\,a^2\,c^4\,d^9\,e^3\,{\left(-a^3\,c\right)}^{3/2}\right)\,\left(c\,\left(a^3\,\left(\frac{3\,B\,d^2\,e^2}{2}-2\,A\,d\,e^3\right)-a\,\left(\frac{3\,A\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{B\,d^3\,e\,\sqrt{-a^3\,c}}{2}\right)\right)+a^2\,\left(\frac{3\,A\,e^4\,\sqrt{-a^3\,c}}{4}-\frac{3\,B\,d\,e^3\,\sqrt{-a^3\,c}}{2}\right)-\frac{B\,a^4\,e^4}{2}-\frac{A\,c^2\,d^4\,\sqrt{-a^3\,c}}{4}\right)}{a^6\,e^6+3\,a^5\,c\,d^2\,e^4+3\,a^4\,c^2\,d^4\,e^2+a^3\,c^3\,d^6}+\frac{\ln\left(36\,B^2\,a^{10}\,e^{12}\,\sqrt{-a^3\,c}-A^2\,c^6\,d^{12}\,{\left(-a^3\,c\right)}^{3/2}-9\,A^2\,a^6\,e^{12}\,{\left(-a^3\,c\right)}^{3/2}+558\,A^2\,a^2\,d^2\,e^{10}\,{\left(-a^3\,c\right)}^{5/2}-24\,B^2\,a^2\,d^4\,e^8\,{\left(-a^3\,c\right)}^{5/2}+108\,B^2\,a^6\,d^2\,e^{10}\,{\left(-a^3\,c\right)}^{3/2}+612\,A^2\,c^2\,d^6\,e^6\,{\left(-a^3\,c\right)}^{5/2}+308\,B^2\,c^2\,d^8\,e^4\,{\left(-a^3\,c\right)}^{5/2}+36\,B^2\,a^{11}\,c\,e^{12}\,x+A^2\,a^4\,c^8\,d^{12}\,x+9\,A^2\,a^{10}\,c^2\,e^{12}\,x-276\,A\,B\,a^2\,d^3\,e^9\,{\left(-a^3\,c\right)}^{5/2}-808\,A\,B\,c^2\,d^7\,e^5\,{\left(-a^3\,c\right)}^{5/2}+1119\,A^2\,a\,c\,d^4\,e^8\,{\left(-a^3\,c\right)}^{5/2}+424\,B^2\,a\,c\,d^6\,e^6\,{\left(-a^3\,c\right)}^{5/2}+14\,A^2\,a^5\,c^7\,d^{10}\,e^2\,x+55\,A^2\,a^6\,c^6\,d^8\,e^4\,x+612\,A^2\,a^7\,c^5\,d^6\,e^6\,x+1119\,A^2\,a^8\,c^4\,d^4\,e^8\,x+558\,A^2\,a^9\,c^3\,d^2\,e^{10}\,x+4\,B^2\,a^6\,c^6\,d^{10}\,e^2\,x+308\,B^2\,a^7\,c^5\,d^8\,e^4\,x+424\,B^2\,a^8\,c^4\,d^6\,e^6\,x-24\,B^2\,a^9\,c^3\,d^4\,e^8\,x-108\,B^2\,a^{10}\,c^2\,d^2\,e^{10}\,x-14\,A^2\,a\,c^5\,d^{10}\,e^2\,{\left(-a^3\,c\right)}^{3/2}-252\,A\,B\,a^6\,d\,e^{11}\,{\left(-a^3\,c\right)}^{3/2}-55\,A^2\,a^2\,c^4\,d^8\,e^4\,{\left(-a^3\,c\right)}^{3/2}-4\,B^2\,a^2\,c^4\,d^{10}\,e^2\,{\left(-a^3\,c\right)}^{3/2}-4\,A\,B\,a^5\,c^7\,d^{11}\,e\,x+252\,A\,B\,a^{10}\,c^2\,d\,e^{11}\,x-1320\,A\,B\,a\,c\,d^5\,e^7\,{\left(-a^3\,c\right)}^{5/2}+4\,A\,B\,a\,c^5\,d^{11}\,e\,{\left(-a^3\,c\right)}^{3/2}-20\,A\,B\,a^6\,c^6\,d^9\,e^3\,x-808\,A\,B\,a^7\,c^5\,d^7\,e^5\,x-1320\,A\,B\,a^8\,c^4\,d^5\,e^7\,x-276\,A\,B\,a^9\,c^3\,d^3\,e^9\,x+20\,A\,B\,a^2\,c^4\,d^9\,e^3\,{\left(-a^3\,c\right)}^{3/2}\right)\,\left(c\,\left(a^3\,\left(\frac{3\,B\,d^2\,e^2}{2}-2\,A\,d\,e^3\right)+a\,\left(\frac{3\,A\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{B\,d^3\,e\,\sqrt{-a^3\,c}}{2}\right)\right)-a^2\,\left(\frac{3\,A\,e^4\,\sqrt{-a^3\,c}}{4}-\frac{3\,B\,d\,e^3\,\sqrt{-a^3\,c}}{2}\right)-\frac{B\,a^4\,e^4}{2}+\frac{A\,c^2\,d^4\,\sqrt{-a^3\,c}}{4}\right)}{a^6\,e^6+3\,a^5\,c\,d^2\,e^4+3\,a^4\,c^2\,d^4\,e^2+a^3\,c^3\,d^6}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(3\,B\,d^2\,e^2-4\,A\,d\,e^3\right)-B\,a\,e^4\right)}{a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6}","Not used",1,"((x*(A*c*d + B*a*e))/(2*a*(a*e^2 + c*d^2)) - (2*A*a*e^3 + B*c*d^3 - 3*B*a*d*e^2 - 2*A*c*d^2*e)/(2*(a*e^2 + c*d^2)^2) + (x^2*(A*c^2*d^2*e - 3*A*a*c*e^3 + 4*B*a*c*d*e^2))/(2*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a*d + a*e*x + c*d*x^2 + c*e*x^3) + (log(9*A^2*a^6*e^12*(-a^3*c)^(3/2) + A^2*c^6*d^12*(-a^3*c)^(3/2) - 36*B^2*a^10*e^12*(-a^3*c)^(1/2) - 558*A^2*a^2*d^2*e^10*(-a^3*c)^(5/2) + 24*B^2*a^2*d^4*e^8*(-a^3*c)^(5/2) - 108*B^2*a^6*d^2*e^10*(-a^3*c)^(3/2) - 612*A^2*c^2*d^6*e^6*(-a^3*c)^(5/2) - 308*B^2*c^2*d^8*e^4*(-a^3*c)^(5/2) + 36*B^2*a^11*c*e^12*x + A^2*a^4*c^8*d^12*x + 9*A^2*a^10*c^2*e^12*x + 276*A*B*a^2*d^3*e^9*(-a^3*c)^(5/2) + 808*A*B*c^2*d^7*e^5*(-a^3*c)^(5/2) - 1119*A^2*a*c*d^4*e^8*(-a^3*c)^(5/2) - 424*B^2*a*c*d^6*e^6*(-a^3*c)^(5/2) + 14*A^2*a^5*c^7*d^10*e^2*x + 55*A^2*a^6*c^6*d^8*e^4*x + 612*A^2*a^7*c^5*d^6*e^6*x + 1119*A^2*a^8*c^4*d^4*e^8*x + 558*A^2*a^9*c^3*d^2*e^10*x + 4*B^2*a^6*c^6*d^10*e^2*x + 308*B^2*a^7*c^5*d^8*e^4*x + 424*B^2*a^8*c^4*d^6*e^6*x - 24*B^2*a^9*c^3*d^4*e^8*x - 108*B^2*a^10*c^2*d^2*e^10*x + 14*A^2*a*c^5*d^10*e^2*(-a^3*c)^(3/2) + 252*A*B*a^6*d*e^11*(-a^3*c)^(3/2) + 55*A^2*a^2*c^4*d^8*e^4*(-a^3*c)^(3/2) + 4*B^2*a^2*c^4*d^10*e^2*(-a^3*c)^(3/2) - 4*A*B*a^5*c^7*d^11*e*x + 252*A*B*a^10*c^2*d*e^11*x + 1320*A*B*a*c*d^5*e^7*(-a^3*c)^(5/2) - 4*A*B*a*c^5*d^11*e*(-a^3*c)^(3/2) - 20*A*B*a^6*c^6*d^9*e^3*x - 808*A*B*a^7*c^5*d^7*e^5*x - 1320*A*B*a^8*c^4*d^5*e^7*x - 276*A*B*a^9*c^3*d^3*e^9*x - 20*A*B*a^2*c^4*d^9*e^3*(-a^3*c)^(3/2))*(c*(a^3*((3*B*d^2*e^2)/2 - 2*A*d*e^3) - a*((3*A*d^2*e^2*(-a^3*c)^(1/2))/2 - (B*d^3*e*(-a^3*c)^(1/2))/2)) + a^2*((3*A*e^4*(-a^3*c)^(1/2))/4 - (3*B*d*e^3*(-a^3*c)^(1/2))/2) - (B*a^4*e^4)/2 - (A*c^2*d^4*(-a^3*c)^(1/2))/4))/(a^6*e^6 + a^3*c^3*d^6 + 3*a^5*c*d^2*e^4 + 3*a^4*c^2*d^4*e^2) + (log(36*B^2*a^10*e^12*(-a^3*c)^(1/2) - A^2*c^6*d^12*(-a^3*c)^(3/2) - 9*A^2*a^6*e^12*(-a^3*c)^(3/2) + 558*A^2*a^2*d^2*e^10*(-a^3*c)^(5/2) - 24*B^2*a^2*d^4*e^8*(-a^3*c)^(5/2) + 108*B^2*a^6*d^2*e^10*(-a^3*c)^(3/2) + 612*A^2*c^2*d^6*e^6*(-a^3*c)^(5/2) + 308*B^2*c^2*d^8*e^4*(-a^3*c)^(5/2) + 36*B^2*a^11*c*e^12*x + A^2*a^4*c^8*d^12*x + 9*A^2*a^10*c^2*e^12*x - 276*A*B*a^2*d^3*e^9*(-a^3*c)^(5/2) - 808*A*B*c^2*d^7*e^5*(-a^3*c)^(5/2) + 1119*A^2*a*c*d^4*e^8*(-a^3*c)^(5/2) + 424*B^2*a*c*d^6*e^6*(-a^3*c)^(5/2) + 14*A^2*a^5*c^7*d^10*e^2*x + 55*A^2*a^6*c^6*d^8*e^4*x + 612*A^2*a^7*c^5*d^6*e^6*x + 1119*A^2*a^8*c^4*d^4*e^8*x + 558*A^2*a^9*c^3*d^2*e^10*x + 4*B^2*a^6*c^6*d^10*e^2*x + 308*B^2*a^7*c^5*d^8*e^4*x + 424*B^2*a^8*c^4*d^6*e^6*x - 24*B^2*a^9*c^3*d^4*e^8*x - 108*B^2*a^10*c^2*d^2*e^10*x - 14*A^2*a*c^5*d^10*e^2*(-a^3*c)^(3/2) - 252*A*B*a^6*d*e^11*(-a^3*c)^(3/2) - 55*A^2*a^2*c^4*d^8*e^4*(-a^3*c)^(3/2) - 4*B^2*a^2*c^4*d^10*e^2*(-a^3*c)^(3/2) - 4*A*B*a^5*c^7*d^11*e*x + 252*A*B*a^10*c^2*d*e^11*x - 1320*A*B*a*c*d^5*e^7*(-a^3*c)^(5/2) + 4*A*B*a*c^5*d^11*e*(-a^3*c)^(3/2) - 20*A*B*a^6*c^6*d^9*e^3*x - 808*A*B*a^7*c^5*d^7*e^5*x - 1320*A*B*a^8*c^4*d^5*e^7*x - 276*A*B*a^9*c^3*d^3*e^9*x + 20*A*B*a^2*c^4*d^9*e^3*(-a^3*c)^(3/2))*(c*(a^3*((3*B*d^2*e^2)/2 - 2*A*d*e^3) + a*((3*A*d^2*e^2*(-a^3*c)^(1/2))/2 - (B*d^3*e*(-a^3*c)^(1/2))/2)) - a^2*((3*A*e^4*(-a^3*c)^(1/2))/4 - (3*B*d*e^3*(-a^3*c)^(1/2))/2) - (B*a^4*e^4)/2 + (A*c^2*d^4*(-a^3*c)^(1/2))/4))/(a^6*e^6 + a^3*c^3*d^6 + 3*a^5*c*d^2*e^4 + 3*a^4*c^2*d^4*e^2) - (log(d + e*x)*(c*(3*B*d^2*e^2 - 4*A*d*e^3) - B*a*e^4))/(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)","B"
1346,1,424,304,0.291325,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + c*x^2)^3,x)","\frac{\ln\left(c\,x^2+a\right)\,\left(256\,A\,a^5\,c^4\,e^5+1280\,B\,d\,a^5\,c^4\,e^4\right)}{512\,a^5\,c^7}-\frac{\frac{B\,c^2\,d^5}{4}-\frac{3\,A\,a^2\,e^5}{4}-x^2\,\left(-5\,B\,c^2\,d^3\,e^2-5\,A\,c^2\,d^2\,e^3+5\,B\,a\,c\,d\,e^4+A\,a\,c\,e^5\right)-\frac{x^3\,\left(9\,B\,a^3\,c\,e^5-50\,B\,a^2\,c^2\,d^2\,e^3-25\,A\,a^2\,c^2\,d\,e^4+5\,B\,a\,c^3\,d^4\,e+10\,A\,a\,c^3\,d^3\,e^2+3\,A\,c^4\,d^5\right)}{8\,a^2}+\frac{x\,\left(-7\,B\,a^3\,e^5+30\,B\,a^2\,c\,d^2\,e^3+15\,A\,a^2\,c\,d\,e^4+5\,B\,a\,c^2\,d^4\,e+10\,A\,a\,c^2\,d^3\,e^2-5\,A\,c^3\,d^5\right)}{8\,a}-\frac{15\,B\,a^2\,d\,e^4}{4}+\frac{5\,A\,c^2\,d^4\,e}{4}+\frac{5\,A\,a\,c\,d^2\,e^3}{2}+\frac{5\,B\,a\,c\,d^3\,e^2}{2}}{a^2\,c^3+2\,a\,c^4\,x^2+c^5\,x^4}+\frac{B\,e^5\,x}{c^3}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-15\,B\,a^3\,e^5+30\,B\,a^2\,c\,d^2\,e^3+15\,A\,a^2\,c\,d\,e^4+5\,B\,a\,c^2\,d^4\,e+10\,A\,a\,c^2\,d^3\,e^2+3\,A\,c^3\,d^5\right)}{8\,a^{5/2}\,c^{7/2}}","Not used",1,"(log(a + c*x^2)*(256*A*a^5*c^4*e^5 + 1280*B*a^5*c^4*d*e^4))/(512*a^5*c^7) - ((B*c^2*d^5)/4 - (3*A*a^2*e^5)/4 - x^2*(A*a*c*e^5 - 5*A*c^2*d^2*e^3 - 5*B*c^2*d^3*e^2 + 5*B*a*c*d*e^4) - (x^3*(3*A*c^4*d^5 + 9*B*a^3*c*e^5 + 10*A*a*c^3*d^3*e^2 - 25*A*a^2*c^2*d*e^4 - 50*B*a^2*c^2*d^2*e^3 + 5*B*a*c^3*d^4*e))/(8*a^2) + (x*(10*A*a*c^2*d^3*e^2 - 7*B*a^3*e^5 - 5*A*c^3*d^5 + 30*B*a^2*c*d^2*e^3 + 15*A*a^2*c*d*e^4 + 5*B*a*c^2*d^4*e))/(8*a) - (15*B*a^2*d*e^4)/4 + (5*A*c^2*d^4*e)/4 + (5*A*a*c*d^2*e^3)/2 + (5*B*a*c*d^3*e^2)/2)/(a^2*c^3 + c^5*x^4 + 2*a*c^4*x^2) + (B*e^5*x)/c^3 + (atan((c^(1/2)*x)/a^(1/2))*(3*A*c^3*d^5 - 15*B*a^3*e^5 + 10*A*a*c^2*d^3*e^2 + 30*B*a^2*c*d^2*e^3 + 15*A*a^2*c*d*e^4 + 5*B*a*c^2*d^4*e))/(8*a^(5/2)*c^(7/2))","B"
1347,1,763,216,2.560201,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + c*x^2)^3,x)","\frac{5\,A\,d^4\,x}{8\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{B\,d^4}{4\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{3\,B\,a^2\,e^4}{4\,\left(a^2\,c^3+2\,a\,c^4\,x^2+c^5\,x^4\right)}-\frac{A\,d^3\,e}{a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4}-\frac{5\,A\,e^4\,x^3}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{B\,e^4\,\ln\left(c\,x^2+a\right)}{2\,c^3}-\frac{A\,a\,d\,e^3}{a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4}+\frac{3\,A\,c\,d^4\,x^3}{8\,\left(a^4+2\,a^3\,c\,x^2+a^2\,c^2\,x^4\right)}-\frac{3\,A\,a\,e^4\,x}{8\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}+\frac{3\,A\,d^2\,e^2\,x^3}{4\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{3\,A\,d^2\,e^2\,x}{4\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{2\,A\,d\,e^3\,x^2}{a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4}-\frac{5\,B\,d\,e^3\,x^3}{2\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{3\,B\,a\,d^2\,e^2}{2\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}+\frac{B\,a\,e^4\,x^2}{a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4}-\frac{3\,B\,d^2\,e^2\,x^2}{a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4}+\frac{3\,A\,d^4\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{c}}+\frac{3\,A\,e^4\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,\sqrt{a}\,c^{5/2}}+\frac{B\,d^3\,e\,x^3}{2\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{B\,d^3\,e\,x}{2\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{3\,B\,d\,e^3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{5/2}}+\frac{B\,d^3\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,c^{3/2}}+\frac{3\,A\,d^2\,e^2\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{4\,a^{3/2}\,c^{3/2}}-\frac{3\,B\,a\,d\,e^3\,x}{2\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}","Not used",1,"(5*A*d^4*x)/(8*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (B*d^4)/(4*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (3*B*a^2*e^4)/(4*(a^2*c^3 + c^5*x^4 + 2*a*c^4*x^2)) - (A*d^3*e)/(a^2*c + c^3*x^4 + 2*a*c^2*x^2) - (5*A*e^4*x^3)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (B*e^4*log(a + c*x^2))/(2*c^3) - (A*a*d*e^3)/(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2) + (3*A*c*d^4*x^3)/(8*(a^4 + 2*a^3*c*x^2 + a^2*c^2*x^4)) - (3*A*a*e^4*x)/(8*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) + (3*A*d^2*e^2*x^3)/(4*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (3*A*d^2*e^2*x)/(4*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (2*A*d*e^3*x^2)/(a^2*c + c^3*x^4 + 2*a*c^2*x^2) - (5*B*d*e^3*x^3)/(2*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (3*B*a*d^2*e^2)/(2*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) + (B*a*e^4*x^2)/(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2) - (3*B*d^2*e^2*x^2)/(a^2*c + c^3*x^4 + 2*a*c^2*x^2) + (3*A*d^4*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*c^(1/2)) + (3*A*e^4*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(1/2)*c^(5/2)) + (B*d^3*e*x^3)/(2*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (B*d^3*e*x)/(2*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (3*B*d*e^3*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(5/2)) + (B*d^3*e*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(3/2)*c^(3/2)) + (3*A*d^2*e^2*atan((c^(1/2)*x)/a^(1/2)))/(4*a^(3/2)*c^(3/2)) - (3*B*a*d*e^3*x)/(2*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2))","B"
1348,1,265,125,0.223048,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + c*x^2)^3,x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x\,\left(A\,c\,d+B\,a\,e\right)\,\left(c\,d^2+a\,e^2\right)}{\sqrt{a}\,\left(B\,a^2\,e^3+B\,a\,c\,d^2\,e+A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}\right)\,\left(A\,c\,d+B\,a\,e\right)\,\left(c\,d^2+a\,e^2\right)}{8\,a^{5/2}\,c^{5/2}}-\frac{\frac{B\,c\,d^3+3\,A\,c\,d^2\,e+3\,B\,a\,d\,e^2+A\,a\,e^3}{4\,c^2}+\frac{x^2\,\left(A\,e^3+3\,B\,d\,e^2\right)}{2\,c}+\frac{x\,\left(3\,B\,a^2\,e^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2-5\,A\,c^2\,d^3\right)}{8\,a\,c^2}-\frac{x^3\,\left(-5\,B\,a^2\,e^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+3\,A\,c^2\,d^3\right)}{8\,a^2\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"(3*atan((c^(1/2)*x*(A*c*d + B*a*e)*(a*e^2 + c*d^2))/(a^(1/2)*(A*c^2*d^3 + B*a^2*e^3 + A*a*c*d*e^2 + B*a*c*d^2*e)))*(A*c*d + B*a*e)*(a*e^2 + c*d^2))/(8*a^(5/2)*c^(5/2)) - ((A*a*e^3 + B*c*d^3 + 3*B*a*d*e^2 + 3*A*c*d^2*e)/(4*c^2) + (x^2*(A*e^3 + 3*B*d*e^2))/(2*c) + (x*(3*B*a^2*e^3 - 5*A*c^2*d^3 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(8*a*c^2) - (x^3*(3*A*c^2*d^3 - 5*B*a^2*e^3 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(8*a^2*c))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
1349,1,154,142,1.807669,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,A\,c\,d^2+2\,B\,a\,d\,e+A\,a\,e^2\right)}{8\,a^{5/2}\,c^{3/2}}-\frac{\frac{B\,c\,d^2+2\,A\,c\,d\,e+B\,a\,e^2}{4\,c^2}-\frac{x^3\,\left(3\,A\,c\,d^2+2\,B\,a\,d\,e+A\,a\,e^2\right)}{8\,a^2}+\frac{x\,\left(-5\,A\,c\,d^2+2\,B\,a\,d\,e+A\,a\,e^2\right)}{8\,a\,c}+\frac{B\,e^2\,x^2}{2\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(A*a*e^2 + 3*A*c*d^2 + 2*B*a*d*e))/(8*a^(5/2)*c^(3/2)) - ((B*a*e^2 + B*c*d^2 + 2*A*c*d*e)/(4*c^2) - (x^3*(A*a*e^2 + 3*A*c*d^2 + 2*B*a*d*e))/(8*a^2) + (x*(A*a*e^2 - 5*A*c*d^2 + 2*B*a*d*e))/(8*a*c) + (B*e^2*x^2)/(2*c))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
1350,1,100,110,1.772929,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + c*x^2)^3,x)","\frac{\frac{x^3\,\left(3\,A\,c\,d+B\,a\,e\right)}{8\,a^2}-\frac{A\,e+B\,d}{4\,c}+\frac{x\,\left(5\,A\,c\,d-B\,a\,e\right)}{8\,a\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,A\,c\,d+B\,a\,e\right)}{8\,a^{5/2}\,c^{3/2}}","Not used",1,"((x^3*(3*A*c*d + B*a*e))/(8*a^2) - (A*e + B*d)/(4*c) + (x*(5*A*c*d - B*a*e))/(8*a*c))/(a^2 + c^2*x^4 + 2*a*c*x^2) + (atan((c^(1/2)*x)/a^(1/2))*(3*A*c*d + B*a*e))/(8*a^(5/2)*c^(3/2))","B"
1351,1,64,75,0.075439,"\text{Not used}","int((A + B*x)/(a + c*x^2)^3,x)","\frac{\frac{5\,A\,x}{8\,a}-\frac{B}{4\,c}+\frac{3\,A\,c\,x^3}{8\,a^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}+\frac{3\,A\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{c}}","Not used",1,"((5*A*x)/(8*a) - B/(4*c) + (3*A*c*x^3)/(8*a^2))/(a^2 + c^2*x^4 + 2*a*c*x^2) + (3*A*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*c^(1/2))","B"
1352,1,2415,307,4.442886,"\text{Not used}","int((A + B*x)/((a + c*x^2)^3*(d + e*x)),x)","\frac{\frac{-B\,c\,d^3+A\,c\,d^2\,e-3\,B\,a\,d\,e^2+3\,A\,a\,e^3}{4\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^2\,\left(A\,c\,e^3-B\,c\,d\,e^2\right)}{2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^3\,\left(3\,B\,a^2\,c\,e^3-B\,a\,c^2\,d^2\,e+7\,A\,a\,c^2\,d\,e^2+3\,A\,c^3\,d^3\right)}{8\,a^2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x\,\left(5\,B\,a^2\,e^3+B\,a\,c\,d^2\,e+9\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{8\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{a^2+2\,a\,c\,x^2+c^2\,x^4}-\frac{\ln\left(576\,A^2\,a^7\,e^{14}\,{\left(-a^5\,c\right)}^{3/2}+9\,A^2\,c^7\,d^{14}\,{\left(-a^5\,c\right)}^{3/2}-9\,B^2\,a^{13}\,e^{14}\,\sqrt{-a^5\,c}+558\,B^2\,a^7\,d^2\,e^{12}\,{\left(-a^5\,c\right)}^{3/2}+9\,B^2\,a^{15}\,c\,e^{14}\,x+9\,A^2\,a^7\,c^9\,d^{14}\,x+576\,A^2\,a^{14}\,c^2\,e^{14}\,x-1377\,A^2\,a\,d^2\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}-1119\,B^2\,a\,d^4\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}-1326\,A^2\,c\,d^4\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}-612\,B^2\,c\,d^6\,e^8\,{\left(-a^5\,c\right)}^{5/2}+78\,A^2\,a^8\,c^8\,d^{12}\,e^2\,x+319\,A^2\,a^9\,c^7\,d^{10}\,e^4\,x+740\,A^2\,a^{10}\,c^6\,d^8\,e^6\,x+1015\,A^2\,a^{11}\,c^5\,d^6\,e^8\,x+1326\,A^2\,a^{12}\,c^4\,d^4\,e^{10}\,x+1377\,A^2\,a^{13}\,c^3\,d^2\,e^{12}\,x+B^2\,a^9\,c^7\,d^{12}\,e^2\,x+14\,B^2\,a^{10}\,c^6\,d^{10}\,e^4\,x+55\,B^2\,a^{11}\,c^5\,d^8\,e^6\,x+612\,B^2\,a^{12}\,c^4\,d^6\,e^8\,x+1119\,B^2\,a^{13}\,c^3\,d^4\,e^{10}\,x+558\,B^2\,a^{14}\,c^2\,d^2\,e^{12}\,x+78\,A^2\,a\,c^6\,d^{12}\,e^2\,{\left(-a^5\,c\right)}^{3/2}+2244\,A\,B\,a\,d^3\,e^{11}\,{\left(-a^5\,c\right)}^{5/2}-1062\,A\,B\,a^7\,d\,e^{13}\,{\left(-a^5\,c\right)}^{3/2}+1434\,A\,B\,c\,d^5\,e^9\,{\left(-a^5\,c\right)}^{5/2}+319\,A^2\,a^2\,c^5\,d^{10}\,e^4\,{\left(-a^5\,c\right)}^{3/2}+740\,A^2\,a^3\,c^4\,d^8\,e^6\,{\left(-a^5\,c\right)}^{3/2}+1015\,A^2\,a^4\,c^3\,d^6\,e^8\,{\left(-a^5\,c\right)}^{3/2}+B^2\,a^2\,c^5\,d^{12}\,e^2\,{\left(-a^5\,c\right)}^{3/2}+14\,B^2\,a^3\,c^4\,d^{10}\,e^4\,{\left(-a^5\,c\right)}^{3/2}+55\,B^2\,a^4\,c^3\,d^8\,e^6\,{\left(-a^5\,c\right)}^{3/2}-6\,A\,B\,a^8\,c^8\,d^{13}\,e\,x-1062\,A\,B\,a^{14}\,c^2\,d\,e^{13}\,x-6\,A\,B\,a\,c^6\,d^{13}\,e\,{\left(-a^5\,c\right)}^{3/2}-68\,A\,B\,a^9\,c^7\,d^{11}\,e^3\,x-250\,A\,B\,a^{10}\,c^6\,d^9\,e^5\,x-440\,A\,B\,a^{11}\,c^5\,d^7\,e^7\,x-1434\,A\,B\,a^{12}\,c^4\,d^5\,e^9\,x-2244\,A\,B\,a^{13}\,c^3\,d^3\,e^{11}\,x-68\,A\,B\,a^2\,c^5\,d^{11}\,e^3\,{\left(-a^5\,c\right)}^{3/2}-250\,A\,B\,a^3\,c^4\,d^9\,e^5\,{\left(-a^5\,c\right)}^{3/2}-440\,A\,B\,a^4\,c^3\,d^7\,e^7\,{\left(-a^5\,c\right)}^{3/2}\right)\,\left(a\,c^2\,\left(\frac{5\,A\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{B\,d^4\,e\,\sqrt{-a^5\,c}}{16}\right)-c\,\left(a^2\,\left(\frac{3\,B\,d^2\,e^3\,\sqrt{-a^5\,c}}{8}-\frac{15\,A\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)-a^5\,\left(\frac{A\,e^5}{2}-\frac{B\,d\,e^4}{2}\right)\right)+\frac{3\,A\,c^3\,d^5\,\sqrt{-a^5\,c}}{16}+\frac{3\,B\,a^3\,e^5\,\sqrt{-a^5\,c}}{16}\right)}{a^8\,c\,e^6+3\,a^7\,c^2\,d^2\,e^4+3\,a^6\,c^3\,d^4\,e^2+a^5\,c^4\,d^6}+\frac{\ln\left(9\,B^2\,a^{13}\,e^{14}\,\sqrt{-a^5\,c}-9\,A^2\,c^7\,d^{14}\,{\left(-a^5\,c\right)}^{3/2}-576\,A^2\,a^7\,e^{14}\,{\left(-a^5\,c\right)}^{3/2}-558\,B^2\,a^7\,d^2\,e^{12}\,{\left(-a^5\,c\right)}^{3/2}+9\,B^2\,a^{15}\,c\,e^{14}\,x+9\,A^2\,a^7\,c^9\,d^{14}\,x+576\,A^2\,a^{14}\,c^2\,e^{14}\,x+1377\,A^2\,a\,d^2\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}+1119\,B^2\,a\,d^4\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}+1326\,A^2\,c\,d^4\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}+612\,B^2\,c\,d^6\,e^8\,{\left(-a^5\,c\right)}^{5/2}+78\,A^2\,a^8\,c^8\,d^{12}\,e^2\,x+319\,A^2\,a^9\,c^7\,d^{10}\,e^4\,x+740\,A^2\,a^{10}\,c^6\,d^8\,e^6\,x+1015\,A^2\,a^{11}\,c^5\,d^6\,e^8\,x+1326\,A^2\,a^{12}\,c^4\,d^4\,e^{10}\,x+1377\,A^2\,a^{13}\,c^3\,d^2\,e^{12}\,x+B^2\,a^9\,c^7\,d^{12}\,e^2\,x+14\,B^2\,a^{10}\,c^6\,d^{10}\,e^4\,x+55\,B^2\,a^{11}\,c^5\,d^8\,e^6\,x+612\,B^2\,a^{12}\,c^4\,d^6\,e^8\,x+1119\,B^2\,a^{13}\,c^3\,d^4\,e^{10}\,x+558\,B^2\,a^{14}\,c^2\,d^2\,e^{12}\,x-78\,A^2\,a\,c^6\,d^{12}\,e^2\,{\left(-a^5\,c\right)}^{3/2}-2244\,A\,B\,a\,d^3\,e^{11}\,{\left(-a^5\,c\right)}^{5/2}+1062\,A\,B\,a^7\,d\,e^{13}\,{\left(-a^5\,c\right)}^{3/2}-1434\,A\,B\,c\,d^5\,e^9\,{\left(-a^5\,c\right)}^{5/2}-319\,A^2\,a^2\,c^5\,d^{10}\,e^4\,{\left(-a^5\,c\right)}^{3/2}-740\,A^2\,a^3\,c^4\,d^8\,e^6\,{\left(-a^5\,c\right)}^{3/2}-1015\,A^2\,a^4\,c^3\,d^6\,e^8\,{\left(-a^5\,c\right)}^{3/2}-B^2\,a^2\,c^5\,d^{12}\,e^2\,{\left(-a^5\,c\right)}^{3/2}-14\,B^2\,a^3\,c^4\,d^{10}\,e^4\,{\left(-a^5\,c\right)}^{3/2}-55\,B^2\,a^4\,c^3\,d^8\,e^6\,{\left(-a^5\,c\right)}^{3/2}-6\,A\,B\,a^8\,c^8\,d^{13}\,e\,x-1062\,A\,B\,a^{14}\,c^2\,d\,e^{13}\,x+6\,A\,B\,a\,c^6\,d^{13}\,e\,{\left(-a^5\,c\right)}^{3/2}-68\,A\,B\,a^9\,c^7\,d^{11}\,e^3\,x-250\,A\,B\,a^{10}\,c^6\,d^9\,e^5\,x-440\,A\,B\,a^{11}\,c^5\,d^7\,e^7\,x-1434\,A\,B\,a^{12}\,c^4\,d^5\,e^9\,x-2244\,A\,B\,a^{13}\,c^3\,d^3\,e^{11}\,x+68\,A\,B\,a^2\,c^5\,d^{11}\,e^3\,{\left(-a^5\,c\right)}^{3/2}+250\,A\,B\,a^3\,c^4\,d^9\,e^5\,{\left(-a^5\,c\right)}^{3/2}+440\,A\,B\,a^4\,c^3\,d^7\,e^7\,{\left(-a^5\,c\right)}^{3/2}\right)\,\left(a\,c^2\,\left(\frac{5\,A\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{B\,d^4\,e\,\sqrt{-a^5\,c}}{16}\right)-c\,\left(a^2\,\left(\frac{3\,B\,d^2\,e^3\,\sqrt{-a^5\,c}}{8}-\frac{15\,A\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)+a^5\,\left(\frac{A\,e^5}{2}-\frac{B\,d\,e^4}{2}\right)\right)+\frac{3\,A\,c^3\,d^5\,\sqrt{-a^5\,c}}{16}+\frac{3\,B\,a^3\,e^5\,\sqrt{-a^5\,c}}{16}\right)}{a^8\,c\,e^6+3\,a^7\,c^2\,d^2\,e^4+3\,a^6\,c^3\,d^4\,e^2+a^5\,c^4\,d^6}+\frac{\ln\left(d+e\,x\right)\,\left(A\,e^5-B\,d\,e^4\right)}{a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6}","Not used",1,"((3*A*a*e^3 - B*c*d^3 - 3*B*a*d*e^2 + A*c*d^2*e)/(4*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^2*(A*c*e^3 - B*c*d*e^2))/(2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^3*(3*A*c^3*d^3 + 3*B*a^2*c*e^3 + 7*A*a*c^2*d*e^2 - B*a*c^2*d^2*e))/(8*a^2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x*(5*A*c^2*d^3 + 5*B*a^2*e^3 + 9*A*a*c*d*e^2 + B*a*c*d^2*e))/(8*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a^2 + c^2*x^4 + 2*a*c*x^2) - (log(576*A^2*a^7*e^14*(-a^5*c)^(3/2) + 9*A^2*c^7*d^14*(-a^5*c)^(3/2) - 9*B^2*a^13*e^14*(-a^5*c)^(1/2) + 558*B^2*a^7*d^2*e^12*(-a^5*c)^(3/2) + 9*B^2*a^15*c*e^14*x + 9*A^2*a^7*c^9*d^14*x + 576*A^2*a^14*c^2*e^14*x - 1377*A^2*a*d^2*e^12*(-a^5*c)^(5/2) - 1119*B^2*a*d^4*e^10*(-a^5*c)^(5/2) - 1326*A^2*c*d^4*e^10*(-a^5*c)^(5/2) - 612*B^2*c*d^6*e^8*(-a^5*c)^(5/2) + 78*A^2*a^8*c^8*d^12*e^2*x + 319*A^2*a^9*c^7*d^10*e^4*x + 740*A^2*a^10*c^6*d^8*e^6*x + 1015*A^2*a^11*c^5*d^6*e^8*x + 1326*A^2*a^12*c^4*d^4*e^10*x + 1377*A^2*a^13*c^3*d^2*e^12*x + B^2*a^9*c^7*d^12*e^2*x + 14*B^2*a^10*c^6*d^10*e^4*x + 55*B^2*a^11*c^5*d^8*e^6*x + 612*B^2*a^12*c^4*d^6*e^8*x + 1119*B^2*a^13*c^3*d^4*e^10*x + 558*B^2*a^14*c^2*d^2*e^12*x + 78*A^2*a*c^6*d^12*e^2*(-a^5*c)^(3/2) + 2244*A*B*a*d^3*e^11*(-a^5*c)^(5/2) - 1062*A*B*a^7*d*e^13*(-a^5*c)^(3/2) + 1434*A*B*c*d^5*e^9*(-a^5*c)^(5/2) + 319*A^2*a^2*c^5*d^10*e^4*(-a^5*c)^(3/2) + 740*A^2*a^3*c^4*d^8*e^6*(-a^5*c)^(3/2) + 1015*A^2*a^4*c^3*d^6*e^8*(-a^5*c)^(3/2) + B^2*a^2*c^5*d^12*e^2*(-a^5*c)^(3/2) + 14*B^2*a^3*c^4*d^10*e^4*(-a^5*c)^(3/2) + 55*B^2*a^4*c^3*d^8*e^6*(-a^5*c)^(3/2) - 6*A*B*a^8*c^8*d^13*e*x - 1062*A*B*a^14*c^2*d*e^13*x - 6*A*B*a*c^6*d^13*e*(-a^5*c)^(3/2) - 68*A*B*a^9*c^7*d^11*e^3*x - 250*A*B*a^10*c^6*d^9*e^5*x - 440*A*B*a^11*c^5*d^7*e^7*x - 1434*A*B*a^12*c^4*d^5*e^9*x - 2244*A*B*a^13*c^3*d^3*e^11*x - 68*A*B*a^2*c^5*d^11*e^3*(-a^5*c)^(3/2) - 250*A*B*a^3*c^4*d^9*e^5*(-a^5*c)^(3/2) - 440*A*B*a^4*c^3*d^7*e^7*(-a^5*c)^(3/2))*(a*c^2*((5*A*d^3*e^2*(-a^5*c)^(1/2))/8 - (B*d^4*e*(-a^5*c)^(1/2))/16) - c*(a^2*((3*B*d^2*e^3*(-a^5*c)^(1/2))/8 - (15*A*d*e^4*(-a^5*c)^(1/2))/16) - a^5*((A*e^5)/2 - (B*d*e^4)/2)) + (3*A*c^3*d^5*(-a^5*c)^(1/2))/16 + (3*B*a^3*e^5*(-a^5*c)^(1/2))/16))/(a^8*c*e^6 + a^5*c^4*d^6 + 3*a^6*c^3*d^4*e^2 + 3*a^7*c^2*d^2*e^4) + (log(9*B^2*a^13*e^14*(-a^5*c)^(1/2) - 9*A^2*c^7*d^14*(-a^5*c)^(3/2) - 576*A^2*a^7*e^14*(-a^5*c)^(3/2) - 558*B^2*a^7*d^2*e^12*(-a^5*c)^(3/2) + 9*B^2*a^15*c*e^14*x + 9*A^2*a^7*c^9*d^14*x + 576*A^2*a^14*c^2*e^14*x + 1377*A^2*a*d^2*e^12*(-a^5*c)^(5/2) + 1119*B^2*a*d^4*e^10*(-a^5*c)^(5/2) + 1326*A^2*c*d^4*e^10*(-a^5*c)^(5/2) + 612*B^2*c*d^6*e^8*(-a^5*c)^(5/2) + 78*A^2*a^8*c^8*d^12*e^2*x + 319*A^2*a^9*c^7*d^10*e^4*x + 740*A^2*a^10*c^6*d^8*e^6*x + 1015*A^2*a^11*c^5*d^6*e^8*x + 1326*A^2*a^12*c^4*d^4*e^10*x + 1377*A^2*a^13*c^3*d^2*e^12*x + B^2*a^9*c^7*d^12*e^2*x + 14*B^2*a^10*c^6*d^10*e^4*x + 55*B^2*a^11*c^5*d^8*e^6*x + 612*B^2*a^12*c^4*d^6*e^8*x + 1119*B^2*a^13*c^3*d^4*e^10*x + 558*B^2*a^14*c^2*d^2*e^12*x - 78*A^2*a*c^6*d^12*e^2*(-a^5*c)^(3/2) - 2244*A*B*a*d^3*e^11*(-a^5*c)^(5/2) + 1062*A*B*a^7*d*e^13*(-a^5*c)^(3/2) - 1434*A*B*c*d^5*e^9*(-a^5*c)^(5/2) - 319*A^2*a^2*c^5*d^10*e^4*(-a^5*c)^(3/2) - 740*A^2*a^3*c^4*d^8*e^6*(-a^5*c)^(3/2) - 1015*A^2*a^4*c^3*d^6*e^8*(-a^5*c)^(3/2) - B^2*a^2*c^5*d^12*e^2*(-a^5*c)^(3/2) - 14*B^2*a^3*c^4*d^10*e^4*(-a^5*c)^(3/2) - 55*B^2*a^4*c^3*d^8*e^6*(-a^5*c)^(3/2) - 6*A*B*a^8*c^8*d^13*e*x - 1062*A*B*a^14*c^2*d*e^13*x + 6*A*B*a*c^6*d^13*e*(-a^5*c)^(3/2) - 68*A*B*a^9*c^7*d^11*e^3*x - 250*A*B*a^10*c^6*d^9*e^5*x - 440*A*B*a^11*c^5*d^7*e^7*x - 1434*A*B*a^12*c^4*d^5*e^9*x - 2244*A*B*a^13*c^3*d^3*e^11*x + 68*A*B*a^2*c^5*d^11*e^3*(-a^5*c)^(3/2) + 250*A*B*a^3*c^4*d^9*e^5*(-a^5*c)^(3/2) + 440*A*B*a^4*c^3*d^7*e^7*(-a^5*c)^(3/2))*(a*c^2*((5*A*d^3*e^2*(-a^5*c)^(1/2))/8 - (B*d^4*e*(-a^5*c)^(1/2))/16) - c*(a^2*((3*B*d^2*e^3*(-a^5*c)^(1/2))/8 - (15*A*d*e^4*(-a^5*c)^(1/2))/16) + a^5*((A*e^5)/2 - (B*d*e^4)/2)) + (3*A*c^3*d^5*(-a^5*c)^(1/2))/16 + (3*B*a^3*e^5*(-a^5*c)^(1/2))/16))/(a^8*c*e^6 + a^5*c^4*d^6 + 3*a^6*c^3*d^4*e^2 + 3*a^7*c^2*d^2*e^4) + (log(d + e*x)*(A*e^5 - B*d*e^4))/(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)","B"
1353,1,3015,443,5.514036,"\text{Not used}","int((A + B*x)/((a + c*x^2)^3*(d + e*x)^2),x)","\frac{\frac{x\,\left(6\,B\,a^2\,e^3+11\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{8\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}-\frac{-7\,B\,a^2\,d\,e^4+4\,A\,a^2\,e^5+6\,B\,a\,c\,d^3\,e^2-10\,A\,a\,c\,d^2\,e^3+B\,c^2\,d^5-2\,A\,c^2\,d^4\,e}{4\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^3\,\left(4\,B\,a^2\,c\,e^3-2\,B\,a\,c^2\,d^2\,e+9\,A\,a\,c^2\,d\,e^2+3\,A\,c^3\,d^3\right)}{8\,a^2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^4\,\left(22\,B\,a^2\,c^2\,d\,e^4-15\,A\,a^2\,c^2\,e^5-2\,B\,a\,c^3\,d^3\,e^2+12\,A\,a\,c^3\,d^2\,e^3+3\,A\,c^4\,d^4\,e\right)}{8\,a^2\,\left(a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6\right)}+\frac{x^2\,\left(38\,B\,a^2\,c\,d\,e^4-25\,A\,a^2\,c\,e^5-10\,B\,a\,c^2\,d^3\,e^2+28\,A\,a\,c^2\,d^2\,e^3+5\,A\,c^3\,d^4\,e\right)}{8\,a\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{e\,a^2\,x+d\,a^2+2\,e\,a\,c\,x^3+2\,d\,a\,c\,x^2+e\,c^2\,x^5+d\,c^2\,x^4}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(5\,B\,d^2\,e^4-6\,A\,d\,e^5\right)-B\,a\,e^6\right)}{a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8}+\frac{\ln\left(576\,B^2\,a^{14}\,e^{16}\,\sqrt{-a^5\,c}-9\,A^2\,c^8\,d^{16}\,{\left(-a^5\,c\right)}^{3/2}-225\,A^2\,a^8\,e^{16}\,{\left(-a^5\,c\right)}^{3/2}+19836\,A^2\,a^2\,d^2\,e^{14}\,{\left(-a^5\,c\right)}^{5/2}+4056\,B^2\,a^2\,d^4\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}+3708\,B^2\,a^8\,d^2\,e^{14}\,{\left(-a^5\,c\right)}^{3/2}+23796\,A^2\,c^2\,d^6\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}+13840\,B^2\,c^2\,d^8\,e^8\,{\left(-a^5\,c\right)}^{5/2}+576\,B^2\,a^{16}\,c\,e^{16}\,x+9\,A^2\,a^7\,c^{10}\,d^{16}\,x+225\,A^2\,a^{15}\,c^2\,e^{16}\,x-19236\,A\,B\,a^2\,d^3\,e^{13}\,{\left(-a^5\,c\right)}^{5/2}-33540\,A\,B\,c^2\,d^7\,e^9\,{\left(-a^5\,c\right)}^{5/2}+40572\,A^2\,a\,c\,d^4\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}+21820\,B^2\,a\,c\,d^6\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}+108\,A^2\,a^8\,c^9\,d^{14}\,e^2\,x+684\,A^2\,a^9\,c^8\,d^{12}\,e^4\,x+2340\,A^2\,a^{10}\,c^7\,d^{10}\,e^6\,x+4590\,A^2\,a^{11}\,c^6\,d^8\,e^8\,x+23796\,A^2\,a^{12}\,c^5\,d^6\,e^{10}\,x+40572\,A^2\,a^{13}\,c^4\,d^4\,e^{12}\,x+19836\,A^2\,a^{14}\,c^3\,d^2\,e^{14}\,x+4\,B^2\,a^9\,c^8\,d^{14}\,e^2\,x+88\,B^2\,a^{10}\,c^7\,d^{12}\,e^4\,x+444\,B^2\,a^{11}\,c^6\,d^{10}\,e^6\,x+13840\,B^2\,a^{12}\,c^5\,d^8\,e^8\,x+21820\,B^2\,a^{13}\,c^4\,d^6\,e^{10}\,x+4056\,B^2\,a^{14}\,c^3\,d^4\,e^{12}\,x-3708\,B^2\,a^{15}\,c^2\,d^2\,e^{14}\,x-108\,A^2\,a\,c^7\,d^{14}\,e^2\,{\left(-a^5\,c\right)}^{3/2}-6012\,A\,B\,a^8\,d\,e^{15}\,{\left(-a^5\,c\right)}^{3/2}-684\,A^2\,a^2\,c^6\,d^{12}\,e^4\,{\left(-a^5\,c\right)}^{3/2}-2340\,A^2\,a^3\,c^5\,d^{10}\,e^6\,{\left(-a^5\,c\right)}^{3/2}-4590\,A^2\,a^4\,c^4\,d^8\,e^8\,{\left(-a^5\,c\right)}^{3/2}-4\,B^2\,a^2\,c^6\,d^{14}\,e^2\,{\left(-a^5\,c\right)}^{3/2}-88\,B^2\,a^3\,c^5\,d^{12}\,e^4\,{\left(-a^5\,c\right)}^{3/2}-444\,B^2\,a^4\,c^4\,d^{10}\,e^6\,{\left(-a^5\,c\right)}^{3/2}-12\,A\,B\,a^8\,c^9\,d^{15}\,e\,x+6012\,A\,B\,a^{15}\,c^2\,d\,e^{15}\,x-57348\,A\,B\,a\,c\,d^5\,e^{11}\,{\left(-a^5\,c\right)}^{5/2}+12\,A\,B\,a\,c^7\,d^{15}\,e\,{\left(-a^5\,c\right)}^{3/2}-204\,A\,B\,a^9\,c^8\,d^{13}\,e^3\,x-972\,A\,B\,a^{10}\,c^7\,d^{11}\,e^5\,x-2220\,A\,B\,a^{11}\,c^6\,d^9\,e^7\,x-33540\,A\,B\,a^{12}\,c^5\,d^7\,e^9\,x-57348\,A\,B\,a^{13}\,c^4\,d^5\,e^{11}\,x-19236\,A\,B\,a^{14}\,c^3\,d^3\,e^{13}\,x+204\,A\,B\,a^2\,c^6\,d^{13}\,e^3\,{\left(-a^5\,c\right)}^{3/2}+972\,A\,B\,a^3\,c^5\,d^{11}\,e^5\,{\left(-a^5\,c\right)}^{3/2}+2220\,A\,B\,a^4\,c^4\,d^9\,e^7\,{\left(-a^5\,c\right)}^{3/2}\right)\,\left(c\,\left(a^5\,\left(\frac{5\,B\,d^2\,e^4}{2}-3\,A\,d\,e^5\right)+a^2\,\left(\frac{45\,A\,d^2\,e^4\,\sqrt{-a^5\,c}}{16}-\frac{5\,B\,d^3\,e^3\,\sqrt{-a^5\,c}}{4}\right)\right)-a^3\,\left(\frac{15\,A\,e^6\,\sqrt{-a^5\,c}}{16}-\frac{15\,B\,d\,e^5\,\sqrt{-a^5\,c}}{8}\right)-\frac{B\,a^6\,e^6}{2}+a\,c^2\,\left(\frac{15\,A\,d^4\,e^2\,\sqrt{-a^5\,c}}{16}-\frac{B\,d^5\,e\,\sqrt{-a^5\,c}}{8}\right)+\frac{3\,A\,c^3\,d^6\,\sqrt{-a^5\,c}}{16}\right)}{a^9\,e^8+4\,a^8\,c\,d^2\,e^6+6\,a^7\,c^2\,d^4\,e^4+4\,a^6\,c^3\,d^6\,e^2+a^5\,c^4\,d^8}-\frac{\ln\left(225\,A^2\,a^8\,e^{16}\,{\left(-a^5\,c\right)}^{3/2}+9\,A^2\,c^8\,d^{16}\,{\left(-a^5\,c\right)}^{3/2}-576\,B^2\,a^{14}\,e^{16}\,\sqrt{-a^5\,c}-19836\,A^2\,a^2\,d^2\,e^{14}\,{\left(-a^5\,c\right)}^{5/2}-4056\,B^2\,a^2\,d^4\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}-3708\,B^2\,a^8\,d^2\,e^{14}\,{\left(-a^5\,c\right)}^{3/2}-23796\,A^2\,c^2\,d^6\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}-13840\,B^2\,c^2\,d^8\,e^8\,{\left(-a^5\,c\right)}^{5/2}+576\,B^2\,a^{16}\,c\,e^{16}\,x+9\,A^2\,a^7\,c^{10}\,d^{16}\,x+225\,A^2\,a^{15}\,c^2\,e^{16}\,x+19236\,A\,B\,a^2\,d^3\,e^{13}\,{\left(-a^5\,c\right)}^{5/2}+33540\,A\,B\,c^2\,d^7\,e^9\,{\left(-a^5\,c\right)}^{5/2}-40572\,A^2\,a\,c\,d^4\,e^{12}\,{\left(-a^5\,c\right)}^{5/2}-21820\,B^2\,a\,c\,d^6\,e^{10}\,{\left(-a^5\,c\right)}^{5/2}+108\,A^2\,a^8\,c^9\,d^{14}\,e^2\,x+684\,A^2\,a^9\,c^8\,d^{12}\,e^4\,x+2340\,A^2\,a^{10}\,c^7\,d^{10}\,e^6\,x+4590\,A^2\,a^{11}\,c^6\,d^8\,e^8\,x+23796\,A^2\,a^{12}\,c^5\,d^6\,e^{10}\,x+40572\,A^2\,a^{13}\,c^4\,d^4\,e^{12}\,x+19836\,A^2\,a^{14}\,c^3\,d^2\,e^{14}\,x+4\,B^2\,a^9\,c^8\,d^{14}\,e^2\,x+88\,B^2\,a^{10}\,c^7\,d^{12}\,e^4\,x+444\,B^2\,a^{11}\,c^6\,d^{10}\,e^6\,x+13840\,B^2\,a^{12}\,c^5\,d^8\,e^8\,x+21820\,B^2\,a^{13}\,c^4\,d^6\,e^{10}\,x+4056\,B^2\,a^{14}\,c^3\,d^4\,e^{12}\,x-3708\,B^2\,a^{15}\,c^2\,d^2\,e^{14}\,x+108\,A^2\,a\,c^7\,d^{14}\,e^2\,{\left(-a^5\,c\right)}^{3/2}+6012\,A\,B\,a^8\,d\,e^{15}\,{\left(-a^5\,c\right)}^{3/2}+684\,A^2\,a^2\,c^6\,d^{12}\,e^4\,{\left(-a^5\,c\right)}^{3/2}+2340\,A^2\,a^3\,c^5\,d^{10}\,e^6\,{\left(-a^5\,c\right)}^{3/2}+4590\,A^2\,a^4\,c^4\,d^8\,e^8\,{\left(-a^5\,c\right)}^{3/2}+4\,B^2\,a^2\,c^6\,d^{14}\,e^2\,{\left(-a^5\,c\right)}^{3/2}+88\,B^2\,a^3\,c^5\,d^{12}\,e^4\,{\left(-a^5\,c\right)}^{3/2}+444\,B^2\,a^4\,c^4\,d^{10}\,e^6\,{\left(-a^5\,c\right)}^{3/2}-12\,A\,B\,a^8\,c^9\,d^{15}\,e\,x+6012\,A\,B\,a^{15}\,c^2\,d\,e^{15}\,x+57348\,A\,B\,a\,c\,d^5\,e^{11}\,{\left(-a^5\,c\right)}^{5/2}-12\,A\,B\,a\,c^7\,d^{15}\,e\,{\left(-a^5\,c\right)}^{3/2}-204\,A\,B\,a^9\,c^8\,d^{13}\,e^3\,x-972\,A\,B\,a^{10}\,c^7\,d^{11}\,e^5\,x-2220\,A\,B\,a^{11}\,c^6\,d^9\,e^7\,x-33540\,A\,B\,a^{12}\,c^5\,d^7\,e^9\,x-57348\,A\,B\,a^{13}\,c^4\,d^5\,e^{11}\,x-19236\,A\,B\,a^{14}\,c^3\,d^3\,e^{13}\,x-204\,A\,B\,a^2\,c^6\,d^{13}\,e^3\,{\left(-a^5\,c\right)}^{3/2}-972\,A\,B\,a^3\,c^5\,d^{11}\,e^5\,{\left(-a^5\,c\right)}^{3/2}-2220\,A\,B\,a^4\,c^4\,d^9\,e^7\,{\left(-a^5\,c\right)}^{3/2}\right)\,\left(\frac{B\,a^6\,e^6}{2}-a^3\,\left(\frac{15\,A\,e^6\,\sqrt{-a^5\,c}}{16}-\frac{15\,B\,d\,e^5\,\sqrt{-a^5\,c}}{8}\right)-c\,\left(a^5\,\left(\frac{5\,B\,d^2\,e^4}{2}-3\,A\,d\,e^5\right)-a^2\,\left(\frac{45\,A\,d^2\,e^4\,\sqrt{-a^5\,c}}{16}-\frac{5\,B\,d^3\,e^3\,\sqrt{-a^5\,c}}{4}\right)\right)+a\,c^2\,\left(\frac{15\,A\,d^4\,e^2\,\sqrt{-a^5\,c}}{16}-\frac{B\,d^5\,e\,\sqrt{-a^5\,c}}{8}\right)+\frac{3\,A\,c^3\,d^6\,\sqrt{-a^5\,c}}{16}\right)}{a^9\,e^8+4\,a^8\,c\,d^2\,e^6+6\,a^7\,c^2\,d^4\,e^4+4\,a^6\,c^3\,d^6\,e^2+a^5\,c^4\,d^8}","Not used",1,"((x*(5*A*c^2*d^3 + 6*B*a^2*e^3 + 11*A*a*c*d*e^2))/(8*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) - (4*A*a^2*e^5 + B*c^2*d^5 - 7*B*a^2*d*e^4 - 2*A*c^2*d^4*e - 10*A*a*c*d^2*e^3 + 6*B*a*c*d^3*e^2)/(4*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^3*(3*A*c^3*d^3 + 4*B*a^2*c*e^3 + 9*A*a*c^2*d*e^2 - 2*B*a*c^2*d^2*e))/(8*a^2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^4*(3*A*c^4*d^4*e - 15*A*a^2*c^2*e^5 + 12*A*a*c^3*d^2*e^3 - 2*B*a*c^3*d^3*e^2 + 22*B*a^2*c^2*d*e^4))/(8*a^2*(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)) + (x^2*(5*A*c^3*d^4*e - 25*A*a^2*c*e^5 + 28*A*a*c^2*d^2*e^3 - 10*B*a*c^2*d^3*e^2 + 38*B*a^2*c*d*e^4))/(8*a*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a^2*d + c^2*d*x^4 + c^2*e*x^5 + a^2*e*x + 2*a*c*d*x^2 + 2*a*c*e*x^3) - (log(d + e*x)*(c*(5*B*d^2*e^4 - 6*A*d*e^5) - B*a*e^6))/(a^4*e^8 + c^4*d^8 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 + 6*a^2*c^2*d^4*e^4) + (log(576*B^2*a^14*e^16*(-a^5*c)^(1/2) - 9*A^2*c^8*d^16*(-a^5*c)^(3/2) - 225*A^2*a^8*e^16*(-a^5*c)^(3/2) + 19836*A^2*a^2*d^2*e^14*(-a^5*c)^(5/2) + 4056*B^2*a^2*d^4*e^12*(-a^5*c)^(5/2) + 3708*B^2*a^8*d^2*e^14*(-a^5*c)^(3/2) + 23796*A^2*c^2*d^6*e^10*(-a^5*c)^(5/2) + 13840*B^2*c^2*d^8*e^8*(-a^5*c)^(5/2) + 576*B^2*a^16*c*e^16*x + 9*A^2*a^7*c^10*d^16*x + 225*A^2*a^15*c^2*e^16*x - 19236*A*B*a^2*d^3*e^13*(-a^5*c)^(5/2) - 33540*A*B*c^2*d^7*e^9*(-a^5*c)^(5/2) + 40572*A^2*a*c*d^4*e^12*(-a^5*c)^(5/2) + 21820*B^2*a*c*d^6*e^10*(-a^5*c)^(5/2) + 108*A^2*a^8*c^9*d^14*e^2*x + 684*A^2*a^9*c^8*d^12*e^4*x + 2340*A^2*a^10*c^7*d^10*e^6*x + 4590*A^2*a^11*c^6*d^8*e^8*x + 23796*A^2*a^12*c^5*d^6*e^10*x + 40572*A^2*a^13*c^4*d^4*e^12*x + 19836*A^2*a^14*c^3*d^2*e^14*x + 4*B^2*a^9*c^8*d^14*e^2*x + 88*B^2*a^10*c^7*d^12*e^4*x + 444*B^2*a^11*c^6*d^10*e^6*x + 13840*B^2*a^12*c^5*d^8*e^8*x + 21820*B^2*a^13*c^4*d^6*e^10*x + 4056*B^2*a^14*c^3*d^4*e^12*x - 3708*B^2*a^15*c^2*d^2*e^14*x - 108*A^2*a*c^7*d^14*e^2*(-a^5*c)^(3/2) - 6012*A*B*a^8*d*e^15*(-a^5*c)^(3/2) - 684*A^2*a^2*c^6*d^12*e^4*(-a^5*c)^(3/2) - 2340*A^2*a^3*c^5*d^10*e^6*(-a^5*c)^(3/2) - 4590*A^2*a^4*c^4*d^8*e^8*(-a^5*c)^(3/2) - 4*B^2*a^2*c^6*d^14*e^2*(-a^5*c)^(3/2) - 88*B^2*a^3*c^5*d^12*e^4*(-a^5*c)^(3/2) - 444*B^2*a^4*c^4*d^10*e^6*(-a^5*c)^(3/2) - 12*A*B*a^8*c^9*d^15*e*x + 6012*A*B*a^15*c^2*d*e^15*x - 57348*A*B*a*c*d^5*e^11*(-a^5*c)^(5/2) + 12*A*B*a*c^7*d^15*e*(-a^5*c)^(3/2) - 204*A*B*a^9*c^8*d^13*e^3*x - 972*A*B*a^10*c^7*d^11*e^5*x - 2220*A*B*a^11*c^6*d^9*e^7*x - 33540*A*B*a^12*c^5*d^7*e^9*x - 57348*A*B*a^13*c^4*d^5*e^11*x - 19236*A*B*a^14*c^3*d^3*e^13*x + 204*A*B*a^2*c^6*d^13*e^3*(-a^5*c)^(3/2) + 972*A*B*a^3*c^5*d^11*e^5*(-a^5*c)^(3/2) + 2220*A*B*a^4*c^4*d^9*e^7*(-a^5*c)^(3/2))*(c*(a^5*((5*B*d^2*e^4)/2 - 3*A*d*e^5) + a^2*((45*A*d^2*e^4*(-a^5*c)^(1/2))/16 - (5*B*d^3*e^3*(-a^5*c)^(1/2))/4)) - a^3*((15*A*e^6*(-a^5*c)^(1/2))/16 - (15*B*d*e^5*(-a^5*c)^(1/2))/8) - (B*a^6*e^6)/2 + a*c^2*((15*A*d^4*e^2*(-a^5*c)^(1/2))/16 - (B*d^5*e*(-a^5*c)^(1/2))/8) + (3*A*c^3*d^6*(-a^5*c)^(1/2))/16))/(a^9*e^8 + a^5*c^4*d^8 + 4*a^8*c*d^2*e^6 + 4*a^6*c^3*d^6*e^2 + 6*a^7*c^2*d^4*e^4) - (log(225*A^2*a^8*e^16*(-a^5*c)^(3/2) + 9*A^2*c^8*d^16*(-a^5*c)^(3/2) - 576*B^2*a^14*e^16*(-a^5*c)^(1/2) - 19836*A^2*a^2*d^2*e^14*(-a^5*c)^(5/2) - 4056*B^2*a^2*d^4*e^12*(-a^5*c)^(5/2) - 3708*B^2*a^8*d^2*e^14*(-a^5*c)^(3/2) - 23796*A^2*c^2*d^6*e^10*(-a^5*c)^(5/2) - 13840*B^2*c^2*d^8*e^8*(-a^5*c)^(5/2) + 576*B^2*a^16*c*e^16*x + 9*A^2*a^7*c^10*d^16*x + 225*A^2*a^15*c^2*e^16*x + 19236*A*B*a^2*d^3*e^13*(-a^5*c)^(5/2) + 33540*A*B*c^2*d^7*e^9*(-a^5*c)^(5/2) - 40572*A^2*a*c*d^4*e^12*(-a^5*c)^(5/2) - 21820*B^2*a*c*d^6*e^10*(-a^5*c)^(5/2) + 108*A^2*a^8*c^9*d^14*e^2*x + 684*A^2*a^9*c^8*d^12*e^4*x + 2340*A^2*a^10*c^7*d^10*e^6*x + 4590*A^2*a^11*c^6*d^8*e^8*x + 23796*A^2*a^12*c^5*d^6*e^10*x + 40572*A^2*a^13*c^4*d^4*e^12*x + 19836*A^2*a^14*c^3*d^2*e^14*x + 4*B^2*a^9*c^8*d^14*e^2*x + 88*B^2*a^10*c^7*d^12*e^4*x + 444*B^2*a^11*c^6*d^10*e^6*x + 13840*B^2*a^12*c^5*d^8*e^8*x + 21820*B^2*a^13*c^4*d^6*e^10*x + 4056*B^2*a^14*c^3*d^4*e^12*x - 3708*B^2*a^15*c^2*d^2*e^14*x + 108*A^2*a*c^7*d^14*e^2*(-a^5*c)^(3/2) + 6012*A*B*a^8*d*e^15*(-a^5*c)^(3/2) + 684*A^2*a^2*c^6*d^12*e^4*(-a^5*c)^(3/2) + 2340*A^2*a^3*c^5*d^10*e^6*(-a^5*c)^(3/2) + 4590*A^2*a^4*c^4*d^8*e^8*(-a^5*c)^(3/2) + 4*B^2*a^2*c^6*d^14*e^2*(-a^5*c)^(3/2) + 88*B^2*a^3*c^5*d^12*e^4*(-a^5*c)^(3/2) + 444*B^2*a^4*c^4*d^10*e^6*(-a^5*c)^(3/2) - 12*A*B*a^8*c^9*d^15*e*x + 6012*A*B*a^15*c^2*d*e^15*x + 57348*A*B*a*c*d^5*e^11*(-a^5*c)^(5/2) - 12*A*B*a*c^7*d^15*e*(-a^5*c)^(3/2) - 204*A*B*a^9*c^8*d^13*e^3*x - 972*A*B*a^10*c^7*d^11*e^5*x - 2220*A*B*a^11*c^6*d^9*e^7*x - 33540*A*B*a^12*c^5*d^7*e^9*x - 57348*A*B*a^13*c^4*d^5*e^11*x - 19236*A*B*a^14*c^3*d^3*e^13*x - 204*A*B*a^2*c^6*d^13*e^3*(-a^5*c)^(3/2) - 972*A*B*a^3*c^5*d^11*e^5*(-a^5*c)^(3/2) - 2220*A*B*a^4*c^4*d^9*e^7*(-a^5*c)^(3/2))*((B*a^6*e^6)/2 - a^3*((15*A*e^6*(-a^5*c)^(1/2))/16 - (15*B*d*e^5*(-a^5*c)^(1/2))/8) - c*(a^5*((5*B*d^2*e^4)/2 - 3*A*d*e^5) - a^2*((45*A*d^2*e^4*(-a^5*c)^(1/2))/16 - (5*B*d^3*e^3*(-a^5*c)^(1/2))/4)) + a*c^2*((15*A*d^4*e^2*(-a^5*c)^(1/2))/16 - (B*d^5*e*(-a^5*c)^(1/2))/8) + (3*A*c^3*d^6*(-a^5*c)^(1/2))/16))/(a^9*e^8 + a^5*c^4*d^8 + 4*a^8*c*d^2*e^6 + 4*a^6*c^3*d^6*e^2 + 6*a^7*c^2*d^4*e^4)","B"
1354,1,19,29,0.065538,"\text{Not used}","int((6*x - 11)/((2*x - 1)*(x^2 - 1)),x)","\frac{16\,\ln\left(x-\frac{1}{2}\right)}{3}-\frac{17\,\ln\left(x+1\right)}{6}-\frac{5\,\ln\left(x-1\right)}{2}","Not used",1,"(16*log(x - 1/2))/3 - (17*log(x + 1))/6 - (5*log(x - 1))/2","B"
1355,1,29,39,0.042968,"\text{Not used}","int((x*(x + 1)^2)/(x^2 + 1)^3,x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{-\frac{x^3}{4}+\frac{x^2}{2}+\frac{x}{4}+\frac{1}{2}}{{\left(x^2+1\right)}^2}","Not used",1,"atan(x)/4 - (x/4 + x^2/2 - x^3/4 + 1/2)/(x^2 + 1)^2","B"
1356,1,55,122,1.705663,"\text{Not used}","int(-(2*x + 3)^4*(3*x^2 + 2)^(1/2)*(x - 5),x)","\frac{2341\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{48\,x^6}{7}-8\,x^5+\frac{5512\,x^4}{35}+\frac{1940\,x^3}{3}+\frac{326029\,x^2}{315}+\frac{4949\,x}{6}+\frac{583994}{945}\right)}{3}","Not used",1,"(2341*3^(1/2)*asinh((6^(1/2)*x)/2))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((4949*x)/6 + (326029*x^2)/315 + (1940*x^3)/3 + (5512*x^4)/35 - 8*x^5 - (48*x^6)/7 + 583994/945))/3","B"
1357,1,50,100,1.692743,"\text{Not used}","int(-(2*x + 3)^3*(3*x^2 + 2)^(1/2)*(x - 5),x)","\frac{1022\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-4\,x^5+\frac{12\,x^4}{5}+\frac{563\,x^3}{6}+\frac{3653\,x^2}{15}+\frac{704\,x}{3}+\frac{7258}{45}\right)}{3}","Not used",1,"(1022*3^(1/2)*asinh((6^(1/2)*x)/2))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((704*x)/3 + (3653*x^2)/15 + (563*x^3)/6 + (12*x^4)/5 - 4*x^5 + 7258/45))/3","B"
1358,1,45,78,1.706843,"\text{Not used}","int(-(2*x + 3)^2*(3*x^2 + 2)^(1/2)*(x - 5),x)","\frac{131\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{12\,x^4}{5}+6\,x^3+\frac{757\,x^2}{15}+\frac{139\,x}{2}+\frac{1562}{45}\right)}{3}","Not used",1,"(131*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((139*x)/2 + (757*x^2)/15 + 6*x^3 - (12*x^4)/5 + 1562/45))/3","B"
1359,1,40,56,0.032421,"\text{Not used}","int(-(2*x + 3)*(3*x^2 + 2)^(1/2)*(x - 5),x)","\frac{46\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{3\,x^3}{2}+7\,x^2+22\,x+\frac{14}{3}\right)}{3}","Not used",1,"(46*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(22*x + 7*x^2 - (3*x^3)/2 + 14/3))/3","B"
1360,1,33,49,0.029640,"\text{Not used}","int(-(3*x^2 + 2)^(1/2)*(x - 5),x)","\frac{5\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{3}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(x^2-\frac{15\,x}{2}+\frac{2}{3}\right)}{3}","Not used",1,"(5*3^(1/2)*asinh((6^(1/2)*x)/2))/3 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(x^2 - (15*x)/2 + 2/3))/3","B"
1361,1,66,72,0.174702,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3),x)","\frac{\sqrt{35}\,\left(910\,\ln\left(x+\frac{3}{2}\right)-910\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{560}-\frac{121\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{24}-\frac{\sqrt{3}\,\left(\frac{3\,x}{4}-\frac{39}{4}\right)\,\sqrt{x^2+\frac{2}{3}}}{3}","Not used",1,"(35^(1/2)*(910*log(x + 3/2) - 910*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/560 - (121*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/24 - (3^(1/2)*((3*x)/4 - 39/4)*(x^2 + 2/3)^(1/2))/3","B"
1362,1,80,73,0.110412,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^2,x)","2\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4}-\frac{19\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{35}+\frac{19\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{35}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{8\,\left(x+\frac{3}{2}\right)}","Not used",1,"2*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2) - (3^(1/2)*(x^2 + 2/3)^(1/2))/4 - (19*35^(1/2)*log(x + 3/2))/35 + (19*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/35 - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(8*(x + 3/2))","B"
1363,1,92,79,1.897698,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^3,x)","\frac{471\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{9800}-\frac{\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{8}-\frac{471\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{9800}+\frac{187\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{560\,\left(x+\frac{3}{2}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32\,\left(x^2+3\,x+\frac{9}{4}\right)}","Not used",1,"(471*35^(1/2)*log(x + 3/2))/9800 - (3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/8 - (471*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/9800 + (187*3^(1/2)*(x^2 + 2/3)^(1/2))/(560*(x + 3/2)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(32*(3*x + x^2 + 9/4))","B"
1364,1,106,82,1.810100,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^4,x)","\frac{123\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{123\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}-\frac{43\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4900\,\left(x+\frac{3}{2}\right)}+\frac{37\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{560\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{96\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(123*35^(1/2)*log(x + 3/2))/42875 - (123*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875 - (43*3^(1/2)*(x^2 + 2/3)^(1/2))/(4900*(x + 3/2)) + (37*3^(1/2)*(x^2 + 2/3)^(1/2))/(560*(3*x + x^2 + 9/4)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(96*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1365,1,140,104,1.864267,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^5,x)","\frac{198\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{300125}-\frac{198\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{300125}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{256\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{739\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{274400\,\left(x+\frac{3}{2}\right)}-\frac{3\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{15680\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{257\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{13440\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(198*35^(1/2)*log(x + 3/2))/300125 - (198*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/300125 - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(256*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (739*3^(1/2)*(x^2 + 2/3)^(1/2))/(274400*(x + 3/2)) - (3*3^(1/2)*(x^2 + 2/3)^(1/2))/(15680*(3*x + x^2 + 9/4)) + (257*3^(1/2)*(x^2 + 2/3)^(1/2))/(13440*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1366,1,178,126,1.799180,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^6,x)","\frac{1017\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{7503125}-\frac{1017\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{7503125}+\frac{73\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{11200\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{640\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{183\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{214375\,\left(x+\frac{3}{2}\right)}-\frac{3\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6125\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{7000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(1017*35^(1/2)*log(x + 3/2))/7503125 - (1017*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/7503125 + (73*3^(1/2)*(x^2 + 2/3)^(1/2))/(11200*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(640*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (183*3^(1/2)*(x^2 + 2/3)^(1/2))/(214375*(x + 3/2)) - (3*3^(1/2)*(x^2 + 2/3)^(1/2))/(6125*(3*x + x^2 + 9/4)) + (3^(1/2)*(x^2 + 2/3)^(1/2))/(7000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1367,1,223,148,0.128562,"\text{Not used}","int(-((3*x^2 + 2)^(1/2)*(x - 5))/(2*x + 3)^7,x)","\frac{6102\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{262609375}-\frac{6102\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{262609375}+\frac{127\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1568000\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{109\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{44800\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{53511\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{240100000\,\left(x+\frac{3}{2}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1536\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}-\frac{2727\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{13720000\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{479\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3920000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(6102*35^(1/2)*log(x + 3/2))/262609375 - (6102*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/262609375 + (127*3^(1/2)*(x^2 + 2/3)^(1/2))/(1568000*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (109*3^(1/2)*(x^2 + 2/3)^(1/2))/(44800*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (53511*3^(1/2)*(x^2 + 2/3)^(1/2))/(240100000*(x + 3/2)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(1536*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) - (2727*3^(1/2)*(x^2 + 2/3)^(1/2))/(13720000*(3*x + x^2 + 9/4)) - (479*3^(1/2)*(x^2 + 2/3)^(1/2))/(3920000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1368,1,65,138,2.099645,"\text{Not used}","int(-(2*x + 3)^4*(3*x^2 + 2)^(3/2)*(x - 5),x)","\frac{2777\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-16\,x^8-18\,x^7+\frac{6808\,x^6}{21}+1278\,x^5+\frac{226763\,x^4}{105}+\frac{9689\,x^3}{4}+\frac{2294756\,x^2}{945}+\frac{6943\,x}{4}+\frac{2149636}{2835}\right)}{3}","Not used",1,"(2777*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((6943*x)/4 + (2294756*x^2)/945 + (9689*x^3)/4 + (226763*x^4)/105 + 1278*x^5 + (6808*x^6)/21 - 18*x^7 - 16*x^8 + 2149636/2835))/3","B"
1369,1,60,116,0.045010,"\text{Not used}","int(-(2*x + 3)^3*(3*x^2 + 2)^(3/2)*(x - 5),x)","\frac{1087\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-9\,x^7+\frac{36\,x^6}{7}+180\,x^5+\frac{15501\,x^4}{35}+\frac{2095\,x^3}{4}+\frac{20428\,x^2}{35}+\frac{2153\,x}{4}+\frac{20348}{105}\right)}{3}","Not used",1,"(1087*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((2153*x)/4 + (20428*x^2)/35 + (2095*x^3)/4 + (15501*x^4)/35 + 180*x^5 + (36*x^6)/7 - 9*x^7 + 20348/105))/3","B"
1370,1,55,94,0.043726,"\text{Not used}","int(-(2*x + 3)^2*(3*x^2 + 2)^(3/2)*(x - 5),x)","\frac{397\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{36\,x^6}{7}+12\,x^5+\frac{3021\,x^4}{35}+\frac{461\,x^3}{4}+\frac{4268\,x^2}{35}+\frac{683\,x}{4}+\frac{4348}{105}\right)}{3}","Not used",1,"(397*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((683*x)/4 + (4268*x^2)/35 + (461*x^3)/4 + (3021*x^4)/35 + 12*x^5 - (36*x^6)/7 + 4348/105))/3","B"
1371,1,50,72,1.739240,"\text{Not used}","int(-(2*x + 3)*(3*x^2 + 2)^(3/2)*(x - 5),x)","\frac{137\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-3\,x^5+\frac{63\,x^4}{5}+\frac{121\,x^3}{4}+\frac{84\,x^2}{5}+\frac{223\,x}{4}+\frac{28}{5}\right)}{3}","Not used",1,"(137*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((223*x)/4 + (84*x^2)/5 + (121*x^3)/4 + (63*x^4)/5 - 3*x^5 + 28/5))/3","B"
1372,1,45,67,0.036922,"\text{Not used}","int(-(3*x^2 + 2)^(3/2)*(x - 5),x)","\frac{5\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{2}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{9\,x^4}{5}-\frac{45\,x^3}{4}+\frac{12\,x^2}{5}-\frac{75\,x}{4}+\frac{4}{5}\right)}{3}","Not used",1,"(5*3^(1/2)*asinh((6^(1/2)*x)/2))/2 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((12*x^2)/5 - (75*x)/4 - (45*x^3)/4 + (9*x^4)/5 + 4/5))/3","B"
1373,1,76,92,0.133384,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3),x)","\frac{\sqrt{35}\,\left(31850\,\ln\left(x+\frac{3}{2}\right)-31850\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{2240}-\frac{1529\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{32}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{9\,x^3}{8}-\frac{39\,x^2}{4}+\frac{381\,x}{16}-\frac{1469}{16}\right)}{3}","Not used",1,"(35^(1/2)*(31850*log(x + 3/2) - 31850*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/2240 - (1529*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/32 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((381*x)/16 - (39*x^2)/4 + (9*x^3)/8 - 1469/16))/3","B"
1374,1,108,97,0.121896,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^2,x)","\frac{663\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{16}-\frac{815\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{48}-\frac{193\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{16}+\frac{193\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{16}-\frac{\sqrt{3}\,x^2\,\sqrt{x^2+\frac{2}{3}}}{4}-\frac{455\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32\,\left(x+\frac{3}{2}\right)}+3\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}","Not used",1,"(663*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/16 - (815*3^(1/2)*(x^2 + 2/3)^(1/2))/48 - (193*35^(1/2)*log(x + 3/2))/16 + (193*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/16 - (3^(1/2)*x^2*(x^2 + 2/3)^(1/2))/4 - (455*3^(1/2)*(x^2 + 2/3)^(1/2))/(32*(x + 3/2)) + 3*3^(1/2)*x*(x^2 + 2/3)^(1/2)","B"
1375,1,117,104,1.823689,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^3,x)","\frac{1143\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{280}+\frac{57\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{16}-\frac{111\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{8}-\frac{1143\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{280}+\frac{655\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{64\,\left(x+\frac{3}{2}\right)}-\frac{455\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{128\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{3\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}}{16}","Not used",1,"(1143*35^(1/2)*log(x + 3/2))/280 + (57*3^(1/2)*(x^2 + 2/3)^(1/2))/16 - (111*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/8 - (1143*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/280 + (655*3^(1/2)*(x^2 + 2/3)^(1/2))/(64*(x + 3/2)) - (455*3^(1/2)*(x^2 + 2/3)^(1/2))/(128*(3*x + x^2 + 9/4)) - (3*3^(1/2)*x*(x^2 + 2/3)^(1/2))/16","B"
1376,1,133,106,0.122527,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^4,x)","\frac{33\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{16}-\frac{3\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{16}-\frac{11727\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{19600}+\frac{11727\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{19600}-\frac{1567\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{560\,\left(x+\frac{3}{2}\right)}+\frac{77\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{455\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{384\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(33*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/16 - (3*3^(1/2)*(x^2 + 2/3)^(1/2))/16 - (11727*35^(1/2)*log(x + 3/2))/19600 + (11727*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/19600 - (1567*3^(1/2)*(x^2 + 2/3)^(1/2))/(560*(x + 3/2)) + (77*3^(1/2)*(x^2 + 2/3)^(1/2))/(32*(3*x + x^2 + 9/4)) - (455*3^(1/2)*(x^2 + 2/3)^(1/2))/(384*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1377,1,155,106,0.122986,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^5,x)","\frac{39663\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1372000}-\frac{3\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{32}-\frac{39663\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1372000}-\frac{455\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1024\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{41767\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{156800\,\left(x+\frac{3}{2}\right)}-\frac{5409\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{8960\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{1193\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1536\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(39663*35^(1/2)*log(x + 3/2))/1372000 - (3*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/32 - (39663*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1372000 - (455*3^(1/2)*(x^2 + 2/3)^(1/2))/(1024*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (41767*3^(1/2)*(x^2 + 2/3)^(1/2))/(156800*(x + 3/2)) - (5409*3^(1/2)*(x^2 + 2/3)^(1/2))/(8960*(3*x + x^2 + 9/4)) + (1193*3^(1/2)*(x^2 + 2/3)^(1/2))/(1536*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1378,1,179,109,1.977843,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^6,x)","\frac{1107\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{3001250}-\frac{1107\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{3001250}+\frac{731\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2560\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{91\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{512\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{5301\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2744000\,\left(x+\frac{3}{2}\right)}+\frac{7233\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{156800\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{8349\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{44800\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(1107*35^(1/2)*log(x + 3/2))/3001250 - (1107*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/3001250 + (731*3^(1/2)*(x^2 + 2/3)^(1/2))/(2560*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (91*3^(1/2)*(x^2 + 2/3)^(1/2))/(512*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (5301*3^(1/2)*(x^2 + 2/3)^(1/2))/(2744000*(x + 3/2)) + (7233*3^(1/2)*(x^2 + 2/3)^(1/2))/(156800*(3*x + x^2 + 9/4)) - (8349*3^(1/2)*(x^2 + 2/3)^(1/2))/(44800*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1379,1,223,131,1.857595,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^7,x)","\frac{27\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{306250}-\frac{27\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{306250}-\frac{5977\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{89600\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{577\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{5120\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{9\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{70000\,\left(x+\frac{3}{2}\right)}-\frac{455\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6144\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{9\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{28000\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{2829\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{224000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(27*35^(1/2)*log(x + 3/2))/306250 - (27*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/306250 - (5977*3^(1/2)*(x^2 + 2/3)^(1/2))/(89600*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (577*3^(1/2)*(x^2 + 2/3)^(1/2))/(5120*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (9*3^(1/2)*(x^2 + 2/3)^(1/2))/(70000*(x + 3/2)) - (455*3^(1/2)*(x^2 + 2/3)^(1/2))/(6144*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (9*3^(1/2)*(x^2 + 2/3)^(1/2))/(28000*(3*x + x^2 + 9/4)) + (2829*3^(1/2)*(x^2 + 2/3)^(1/2))/(224000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1380,1,272,153,0.137758,"\text{Not used}","int(-((3*x^2 + 2)^(3/2)*(x - 5))/(2*x + 3)^8,x)","\frac{72603\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{3676531250}-\frac{72603\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{3676531250}+\frac{92453\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{21952000\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{507\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{19600\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{212679\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3361400000\,\left(x+\frac{3}{2}\right)}+\frac{125\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2688\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{3897\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{192080000\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{65\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2048\,\left(x^7+\frac{21\,x^6}{2}+\frac{189\,x^5}{4}+\frac{945\,x^4}{8}+\frac{2835\,x^3}{16}+\frac{5103\,x^2}{32}+\frac{5103\,x}{64}+\frac{2187}{128}\right)}+\frac{7569\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{54880000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(72603*35^(1/2)*log(x + 3/2))/3676531250 - (72603*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/3676531250 + (92453*3^(1/2)*(x^2 + 2/3)^(1/2))/(21952000*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (507*3^(1/2)*(x^2 + 2/3)^(1/2))/(19600*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (212679*3^(1/2)*(x^2 + 2/3)^(1/2))/(3361400000*(x + 3/2)) + (125*3^(1/2)*(x^2 + 2/3)^(1/2))/(2688*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (3897*3^(1/2)*(x^2 + 2/3)^(1/2))/(192080000*(3*x + x^2 + 9/4)) - (65*3^(1/2)*(x^2 + 2/3)^(1/2))/(2048*((5103*x)/64 + (5103*x^2)/32 + (2835*x^3)/16 + (945*x^4)/8 + (189*x^5)/4 + (21*x^6)/2 + x^7 + 2187/128)) + (7569*3^(1/2)*(x^2 + 2/3)^(1/2))/(54880000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1381,1,75,154,1.752075,"\text{Not used}","int(-(2*x + 3)^4*(3*x^2 + 2)^(5/2)*(x - 5),x)","\frac{4991\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{432\,x^{10}}{11}-\frac{216\,x^9}{5}+\frac{7976\,x^8}{11}+\frac{14202\,x^7}{5}+\frac{173419\,x^6}{33}+\frac{72933\,x^5}{10}+\frac{279190\,x^4}{33}+\frac{28535\,x^3}{4}+\frac{1536004\,x^2}{297}+\frac{14449\,x}{4}+\frac{976856}{891}\right)}{3}","Not used",1,"(4991*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((14449*x)/4 + (1536004*x^2)/297 + (28535*x^3)/4 + (279190*x^4)/33 + (72933*x^5)/10 + (173419*x^6)/33 + (14202*x^7)/5 + (7976*x^8)/11 - (216*x^9)/5 - (432*x^10)/11 + 976856/891))/3","B"
1382,1,70,132,1.745414,"\text{Not used}","int(-(2*x + 3)^3*(3*x^2 + 2)^(5/2)*(x - 5),x)","\frac{3731\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{36}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{108\,x^9}{5}+12\,x^8+\frac{7749\,x^7}{20}+959\,x^6+\frac{27843\,x^5}{20}+1886\,x^4+\frac{14243\,x^3}{8}+\frac{11252\,x^2}{9}+\frac{9229\,x}{8}+\frac{7480}{27}\right)}{3}","Not used",1,"(3731*3^(1/2)*asinh((6^(1/2)*x)/2))/36 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((9229*x)/8 + (11252*x^2)/9 + (14243*x^3)/8 + 1886*x^4 + (27843*x^5)/20 + 959*x^6 + (7749*x^7)/20 + 12*x^8 - (108*x^9)/5 + 7480/27))/3","B"
1383,1,65,110,0.064814,"\text{Not used}","int(-(2*x + 3)^2*(3*x^2 + 2)^(5/2)*(x - 5),x)","\frac{665\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{18}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-12\,x^8+27\,x^7+175\,x^6+\frac{507\,x^5}{2}+382\,x^4+\frac{1873\,x^3}{4}+\frac{2356\,x^2}{9}+\frac{1495\,x}{4}+\frac{1592}{27}\right)}{3}","Not used",1,"(665*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((1495*x)/4 + (2356*x^2)/9 + (1873*x^3)/4 + 382*x^4 + (507*x^5)/2 + 175*x^6 + 27*x^7 - 12*x^8 + 1592/27))/3","B"
1384,1,60,88,1.864661,"\text{Not used}","int(-(2*x + 3)*(3*x^2 + 2)^(5/2)*(x - 5),x)","\frac{455\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{36}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{27\,x^7}{4}+27\,x^6+\frac{219\,x^5}{4}+54\,x^4+\frac{1111\,x^3}{8}+36\,x^2+\frac{985\,x}{8}+8\right)}{3}","Not used",1,"(455*3^(1/2)*asinh((6^(1/2)*x)/2))/36 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((985*x)/8 + 36*x^2 + (1111*x^3)/8 + 54*x^4 + (219*x^5)/4 + 27*x^6 - (27*x^7)/4 + 8))/3","B"
1385,1,55,83,1.743163,"\text{Not used}","int(-(3*x^2 + 2)^(5/2)*(x - 5),x)","\frac{25\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{6}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{27\,x^6}{7}-\frac{45\,x^5}{2}+\frac{54\,x^4}{7}-\frac{195\,x^3}{4}+\frac{36\,x^2}{7}-\frac{165\,x}{4}+\frac{8}{7}\right)}{3}","Not used",1,"(25*3^(1/2)*asinh((6^(1/2)*x)/2))/6 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((36*x^2)/7 - (165*x)/4 - (195*x^3)/4 + (54*x^4)/7 - (45*x^5)/2 + (27*x^6)/7 + 8/7))/3","B"
1386,1,86,112,1.805566,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3),x)","\frac{\sqrt{35}\,\left(1114750\,\ln\left(x+\frac{3}{2}\right)-1114750\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{8960}-\frac{162673\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{384}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{9\,x^5}{4}-\frac{351\,x^4}{20}+\frac{1209\,x^3}{32}-\frac{8697\,x^2}{80}+\frac{16059\,x}{64}-\frac{259571}{320}\right)}{3}","Not used",1,"(35^(1/2)*(1114750*log(x + 3/2) - 1114750*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/8960 - (162673*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/384 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((16059*x)/64 - (8697*x^2)/80 + (1209*x^3)/32 - (351*x^4)/20 + (9*x^5)/4 - 259571/320))/3","B"
1387,1,138,117,0.130806,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^2,x)","\frac{18543\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{32}-\frac{275027\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{960}-\frac{5425\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{32}+\frac{5425\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{32}-\frac{1393\,\sqrt{3}\,x^2\,\sqrt{x^2+\frac{2}{3}}}{80}+\frac{9\,\sqrt{3}\,x^3\,\sqrt{x^2+\frac{2}{3}}}{2}-\frac{9\,\sqrt{3}\,x^4\,\sqrt{x^2+\frac{2}{3}}}{20}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{128\,\left(x+\frac{3}{2}\right)}+\frac{2133\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}}{32}","Not used",1,"(18543*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/32 - (275027*3^(1/2)*(x^2 + 2/3)^(1/2))/960 - (5425*35^(1/2)*log(x + 3/2))/32 + (5425*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/32 - (1393*3^(1/2)*x^2*(x^2 + 2/3)^(1/2))/80 + (9*3^(1/2)*x^3*(x^2 + 2/3)^(1/2))/2 - (9*3^(1/2)*x^4*(x^2 + 2/3)^(1/2))/20 - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(128*(x + 3/2)) + (2133*3^(1/2)*x*(x^2 + 2/3)^(1/2))/32","B"
1388,1,147,126,0.125656,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^3,x)","\frac{12885\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{128}+\frac{4177\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32}-\frac{43995\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{128}-\frac{12885\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{128}+\frac{57\,\sqrt{3}\,x^2\,\sqrt{x^2+\frac{2}{3}}}{16}-\frac{9\,\sqrt{3}\,x^3\,\sqrt{x^2+\frac{2}{3}}}{32}+\frac{39305\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{256\,\left(x+\frac{3}{2}\right)}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{512\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{675\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}}{32}","Not used",1,"(12885*35^(1/2)*log(x + 3/2))/128 + (4177*3^(1/2)*(x^2 + 2/3)^(1/2))/32 - (43995*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/128 - (12885*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/128 + (57*3^(1/2)*x^2*(x^2 + 2/3)^(1/2))/16 - (9*3^(1/2)*x^3*(x^2 + 2/3)^(1/2))/32 + (39305*3^(1/2)*(x^2 + 2/3)^(1/2))/(256*(x + 3/2)) - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(512*(3*x + x^2 + 9/4)) - (675*3^(1/2)*x*(x^2 + 2/3)^(1/2))/32","B"
1389,1,161,133,0.124232,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^4,x)","\frac{1785\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{16}-\frac{973\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32}-\frac{3657\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{112}+\frac{3657\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{112}-\frac{3\,\sqrt{3}\,x^2\,\sqrt{x^2+\frac{2}{3}}}{16}-\frac{5197\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{64\,\left(x+\frac{3}{2}\right)}+\frac{9485\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{256\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{99\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}}{32}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1536\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(1785*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/16 - (973*3^(1/2)*(x^2 + 2/3)^(1/2))/32 - (3657*35^(1/2)*log(x + 3/2))/112 + (3657*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/112 - (3*3^(1/2)*x^2*(x^2 + 2/3)^(1/2))/16 - (5197*3^(1/2)*(x^2 + 2/3)^(1/2))/(64*(x + 3/2)) + (9485*3^(1/2)*(x^2 + 2/3)^(1/2))/(256*(3*x + x^2 + 9/4)) + (99*3^(1/2)*x*(x^2 + 2/3)^(1/2))/32 - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(1536*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1390,1,180,133,0.133404,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^5,x)","\frac{188379\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{31360}+\frac{225\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{64}-\frac{2625\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{128}-\frac{188379\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{31360}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4096\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{80993\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3584\,\left(x+\frac{3}{2}\right)}-\frac{19227\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1024\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{9\,\sqrt{3}\,x\,\sqrt{x^2+\frac{2}{3}}}{64}+\frac{74515\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6144\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(188379*35^(1/2)*log(x + 3/2))/31360 + (225*3^(1/2)*(x^2 + 2/3)^(1/2))/64 - (2625*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/128 - (188379*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/31360 - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(4096*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (80993*3^(1/2)*(x^2 + 2/3)^(1/2))/(3584*(x + 3/2)) - (19227*3^(1/2)*(x^2 + 2/3)^(1/2))/(1024*(3*x + x^2 + 9/4)) - (9*3^(1/2)*x*(x^2 + 2/3)^(1/2))/64 + (74515*3^(1/2)*(x^2 + 2/3)^(1/2))/(6144*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1391,1,206,133,1.945412,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^6,x)","\frac{63\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{32}-\frac{9\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{64}-\frac{789723\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1372000}+\frac{789723\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1372000}+\frac{2303\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{512\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{3185\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2048\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{64959\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{19600\,\left(x+\frac{3}{2}\right)}+\frac{44127\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{8960\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{15397\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2560\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(63*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/32 - (9*3^(1/2)*(x^2 + 2/3)^(1/2))/64 - (789723*35^(1/2)*log(x + 3/2))/1372000 + (789723*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1372000 + (2303*3^(1/2)*(x^2 + 2/3)^(1/2))/(512*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (3185*3^(1/2)*(x^2 + 2/3)^(1/2))/(2048*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (64959*3^(1/2)*(x^2 + 2/3)^(1/2))/(19600*(x + 3/2)) + (44127*3^(1/2)*(x^2 + 2/3)^(1/2))/(8960*(3*x + x^2 + 9/4)) - (15397*3^(1/2)*(x^2 + 2/3)^(1/2))/(2560*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1392,1,238,133,0.144387,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^7,x)","\frac{159759\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{7683200}-\frac{9\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{128}-\frac{159759\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{7683200}-\frac{9019\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4096\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{7315\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4096\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}+\frac{182067\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{878080\,\left(x+\frac{3}{2}\right)}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{24576\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}-\frac{164961\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{250880\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{109789\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{71680\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(159759*35^(1/2)*log(x + 3/2))/7683200 - (9*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/128 - (159759*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/7683200 - (9019*3^(1/2)*(x^2 + 2/3)^(1/2))/(4096*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (7315*3^(1/2)*(x^2 + 2/3)^(1/2))/(4096*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) + (182067*3^(1/2)*(x^2 + 2/3)^(1/2))/(878080*(x + 3/2)) - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(24576*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) - (164961*3^(1/2)*(x^2 + 2/3)^(1/2))/(250880*(3*x + x^2 + 9/4)) + (109789*3^(1/2)*(x^2 + 2/3)^(1/2))/(71680*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1393,1,272,136,2.025895,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^8,x)","\frac{1107\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{21008750}-\frac{1107\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{21008750}+\frac{34571\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{62720\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{6213\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{7168\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{27351\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{19208000\,\left(x+\frac{3}{2}\right)}+\frac{9095\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{12288\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{73161\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2195200\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{2275\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{8192\,\left(x^7+\frac{21\,x^6}{2}+\frac{189\,x^5}{4}+\frac{945\,x^4}{8}+\frac{2835\,x^3}{16}+\frac{5103\,x^2}{32}+\frac{5103\,x}{64}+\frac{2187}{128}\right)}-\frac{122553\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{627200\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(1107*35^(1/2)*log(x + 3/2))/21008750 - (1107*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/21008750 + (34571*3^(1/2)*(x^2 + 2/3)^(1/2))/(62720*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (6213*3^(1/2)*(x^2 + 2/3)^(1/2))/(7168*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (27351*3^(1/2)*(x^2 + 2/3)^(1/2))/(19208000*(x + 3/2)) + (9095*3^(1/2)*(x^2 + 2/3)^(1/2))/(12288*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (73161*3^(1/2)*(x^2 + 2/3)^(1/2))/(2195200*(3*x + x^2 + 9/4)) - (2275*3^(1/2)*(x^2 + 2/3)^(1/2))/(8192*((5103*x)/64 + (5103*x^2)/32 + (2835*x^3)/16 + (945*x^4)/8 + (189*x^5)/4 + (21*x^6)/2 + x^7 + 2187/128)) - (122553*3^(1/2)*(x^2 + 2/3)^(1/2))/(627200*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1394,1,326,158,1.886983,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^9,x)","\frac{18873\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1470612500}-\frac{18873\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1470612500}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{131072\,\left(x^8+12\,x^7+63\,x^6+189\,x^5+\frac{2835\,x^4}{8}+\frac{1701\,x^3}{4}+\frac{5103\,x^2}{16}+\frac{2187\,x}{16}+\frac{6561}{256}\right)}-\frac{4816641\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{70246400\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{861381\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4014080\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}+\frac{24813\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{10756480000\,\left(x+\frac{3}{2}\right)}-\frac{81899\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{229376\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{48141\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{614656000\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{20705\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{65536\,\left(x^7+\frac{21\,x^6}{2}+\frac{189\,x^5}{4}+\frac{945\,x^4}{8}+\frac{2835\,x^3}{16}+\frac{5103\,x^2}{32}+\frac{5103\,x}{64}+\frac{2187}{128}\right)}+\frac{1573857\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{175616000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(18873*35^(1/2)*log(x + 3/2))/1470612500 - (18873*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1470612500 - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(131072*((2187*x)/16 + (5103*x^2)/16 + (1701*x^3)/4 + (2835*x^4)/8 + 189*x^5 + 63*x^6 + 12*x^7 + x^8 + 6561/256)) - (4816641*3^(1/2)*(x^2 + 2/3)^(1/2))/(70246400*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (861381*3^(1/2)*(x^2 + 2/3)^(1/2))/(4014080*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) + (24813*3^(1/2)*(x^2 + 2/3)^(1/2))/(10756480000*(x + 3/2)) - (81899*3^(1/2)*(x^2 + 2/3)^(1/2))/(229376*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (48141*3^(1/2)*(x^2 + 2/3)^(1/2))/(614656000*(3*x + x^2 + 9/4)) + (20705*3^(1/2)*(x^2 + 2/3)^(1/2))/(65536*((5103*x)/64 + (5103*x^2)/32 + (2835*x^3)/16 + (945*x^4)/8 + (189*x^5)/4 + (21*x^6)/2 + x^7 + 2187/128)) + (1573857*3^(1/2)*(x^2 + 2/3)^(1/2))/(175616000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1395,1,385,180,0.159853,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^10,x)","\frac{76869\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{25735718750}-\frac{76869\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{25735718750}+\frac{4515\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{32768\,\left(x^8+12\,x^7+63\,x^6+189\,x^5+\frac{2835\,x^4}{8}+\frac{1701\,x^3}{4}+\frac{5103\,x^2}{16}+\frac{2187\,x}{16}+\frac{6561}{256}\right)}+\frac{1838301\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{614656000\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{15925\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{294912\,\left(x^9+\frac{27\,x^8}{2}+81\,x^7+\frac{567\,x^6}{2}+\frac{5103\,x^5}{8}+\frac{15309\,x^4}{16}+\frac{15309\,x^3}{16}+\frac{19683\,x^2}{32}+\frac{59049\,x}{256}+\frac{19683}{512}\right)}-\frac{923241\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{35123200\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{152343\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{94119200000\,\left(x+\frac{3}{2}\right)}+\frac{35213\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{401408\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{80649\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{5378240000\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{52201\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{344064\,\left(x^7+\frac{21\,x^6}{2}+\frac{189\,x^5}{4}+\frac{945\,x^4}{8}+\frac{2835\,x^3}{16}+\frac{5103\,x^2}{32}+\frac{5103\,x}{64}+\frac{2187}{128}\right)}+\frac{55473\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1536640000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(76869*35^(1/2)*log(x + 3/2))/25735718750 - (76869*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/25735718750 + (4515*3^(1/2)*(x^2 + 2/3)^(1/2))/(32768*((2187*x)/16 + (5103*x^2)/16 + (1701*x^3)/4 + (2835*x^4)/8 + 189*x^5 + 63*x^6 + 12*x^7 + x^8 + 6561/256)) + (1838301*3^(1/2)*(x^2 + 2/3)^(1/2))/(614656000*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (15925*3^(1/2)*(x^2 + 2/3)^(1/2))/(294912*((59049*x)/256 + (19683*x^2)/32 + (15309*x^3)/16 + (15309*x^4)/16 + (5103*x^5)/8 + (567*x^6)/2 + 81*x^7 + (27*x^8)/2 + x^9 + 19683/512)) - (923241*3^(1/2)*(x^2 + 2/3)^(1/2))/(35123200*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (152343*3^(1/2)*(x^2 + 2/3)^(1/2))/(94119200000*(x + 3/2)) + (35213*3^(1/2)*(x^2 + 2/3)^(1/2))/(401408*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (80649*3^(1/2)*(x^2 + 2/3)^(1/2))/(5378240000*(3*x + x^2 + 9/4)) - (52201*3^(1/2)*(x^2 + 2/3)^(1/2))/(344064*((5103*x)/64 + (5103*x^2)/32 + (2835*x^3)/16 + (945*x^4)/8 + (189*x^5)/4 + (21*x^6)/2 + x^7 + 2187/128)) + (55473*3^(1/2)*(x^2 + 2/3)^(1/2))/(1536640000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1396,1,449,202,1.895979,"\text{Not used}","int(-((3*x^2 + 2)^(5/2)*(x - 5))/(2*x + 3)^11,x)","\frac{5931873\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{9007501562500}-\frac{5931873\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{9007501562500}-\frac{43213\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{655360\,\left(x^8+12\,x^7+63\,x^6+189\,x^5+\frac{2835\,x^4}{8}+\frac{1701\,x^3}{4}+\frac{5103\,x^2}{16}+\frac{2187\,x}{16}+\frac{6561}{256}\right)}+\frac{4728159\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{430259200000\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}+\frac{36029\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{589824\,\left(x^9+\frac{27\,x^8}{2}+81\,x^7+\frac{567\,x^6}{2}+\frac{5103\,x^5}{8}+\frac{15309\,x^4}{16}+\frac{15309\,x^3}{16}+\frac{19683\,x^2}{32}+\frac{59049\,x}{256}+\frac{19683}{512}\right)}+\frac{27428781\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{24586240000\,\left(x^5+\frac{15\,x^4}{2}+\frac{45\,x^3}{2}+\frac{135\,x^2}{4}+\frac{405\,x}{16}+\frac{243}{32}\right)}-\frac{3185\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{131072\,\left(x^{10}+15\,x^9+\frac{405\,x^8}{4}+405\,x^7+\frac{8505\,x^6}{8}+\frac{15309\,x^5}{8}+\frac{76545\,x^4}{32}+\frac{32805\,x^3}{16}+\frac{295245\,x^2}{256}+\frac{98415\,x}{256}+\frac{59049}{1024}\right)}-\frac{110679687\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{65883440000000\,\left(x+\frac{3}{2}\right)}-\frac{2988711\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{280985600\,\left(x^6+9\,x^5+\frac{135\,x^4}{4}+\frac{135\,x^3}{2}+\frac{1215\,x^2}{16}+\frac{729\,x}{16}+\frac{729}{64}\right)}+\frac{4975641\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3764768000000\,\left(x^2+3\,x+\frac{9}{4}\right)}+\frac{1785563\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{48168960\,\left(x^7+\frac{21\,x^6}{2}+\frac{189\,x^5}{4}+\frac{945\,x^4}{8}+\frac{2835\,x^3}{16}+\frac{5103\,x^2}{32}+\frac{5103\,x}{64}+\frac{2187}{128}\right)}+\frac{5833857\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1075648000000\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(5931873*35^(1/2)*log(x + 3/2))/9007501562500 - (5931873*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/9007501562500 - (43213*3^(1/2)*(x^2 + 2/3)^(1/2))/(655360*((2187*x)/16 + (5103*x^2)/16 + (1701*x^3)/4 + (2835*x^4)/8 + 189*x^5 + 63*x^6 + 12*x^7 + x^8 + 6561/256)) + (4728159*3^(1/2)*(x^2 + 2/3)^(1/2))/(430259200000*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) + (36029*3^(1/2)*(x^2 + 2/3)^(1/2))/(589824*((59049*x)/256 + (19683*x^2)/32 + (15309*x^3)/16 + (15309*x^4)/16 + (5103*x^5)/8 + (567*x^6)/2 + 81*x^7 + (27*x^8)/2 + x^9 + 19683/512)) + (27428781*3^(1/2)*(x^2 + 2/3)^(1/2))/(24586240000*((405*x)/16 + (135*x^2)/4 + (45*x^3)/2 + (15*x^4)/2 + x^5 + 243/32)) - (3185*3^(1/2)*(x^2 + 2/3)^(1/2))/(131072*((98415*x)/256 + (295245*x^2)/256 + (32805*x^3)/16 + (76545*x^4)/32 + (15309*x^5)/8 + (8505*x^6)/8 + 405*x^7 + (405*x^8)/4 + 15*x^9 + x^10 + 59049/1024)) - (110679687*3^(1/2)*(x^2 + 2/3)^(1/2))/(65883440000000*(x + 3/2)) - (2988711*3^(1/2)*(x^2 + 2/3)^(1/2))/(280985600*((729*x)/16 + (1215*x^2)/16 + (135*x^3)/2 + (135*x^4)/4 + 9*x^5 + x^6 + 729/64)) + (4975641*3^(1/2)*(x^2 + 2/3)^(1/2))/(3764768000000*(3*x + x^2 + 9/4)) + (1785563*3^(1/2)*(x^2 + 2/3)^(1/2))/(48168960*((5103*x)/64 + (5103*x^2)/32 + (2835*x^3)/16 + (945*x^4)/8 + (189*x^5)/4 + (21*x^6)/2 + x^7 + 2187/128)) + (5833857*3^(1/2)*(x^2 + 2/3)^(1/2))/(1075648000000*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1397,1,45,106,0.043172,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(3*x^2 + 2)^(1/2),x)","\frac{343\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{16\,x^4}{5}-4\,x^3+\frac{4088\,x^2}{45}+436\,x+\frac{118513}{135}\right)}{3}","Not used",1,"(343*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(436*x + (4088*x^2)/45 - 4*x^3 - (16*x^4)/5 + 118513/135))/3","B"
1398,1,40,84,0.036108,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(3*x^2 + 2)^(1/2),x)","\frac{275\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-2\,x^3+\frac{4\,x^2}{3}+65\,x+\frac{2171}{9}\right)}{3}","Not used",1,"(275*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(65*x + (4*x^2)/3 - 2*x^3 + 2171/9))/3","B"
1399,1,35,62,0.033869,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(3*x^2 + 2)^(1/2),x)","\frac{127\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(-\frac{4\,x^2}{3}+4\,x+\frac{475}{9}\right)}{3}","Not used",1,"(127*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(4*x - (4*x^2)/3 + 475/9))/3","B"
1400,1,28,40,0.032347,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(3*x^2 + 2)^(1/2),x)","\frac{47\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(x-7\right)}{3}","Not used",1,"(47*3^(1/2)*asinh((6^(1/2)*x)/2))/9 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(x - 7))/3","B"
1401,1,25,33,0.025535,"\text{Not used}","int(-(x - 5)/(3*x^2 + 2)^(1/2),x)","\frac{5\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{3}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3}","Not used",1,"(5*3^(1/2)*asinh((6^(1/2)*x)/2))/3 - (3^(1/2)*(x^2 + 2/3)^(1/2))/3","B"
1402,1,49,52,0.120854,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(3*x^2 + 2)^(1/2)),x)","\frac{\sqrt{35}\,\left(26\,\ln\left(x+\frac{3}{2}\right)-26\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{140}-\frac{\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{6}","Not used",1,"(35^(1/2)*(26*log(x + 3/2) - 26*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/140 - (3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/6","B"
1403,1,53,55,1.918743,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(3*x^2 + 2)^(1/2)),x)","\frac{41\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1225}-\frac{41\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1225}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{70\,\left(x+\frac{3}{2}\right)}","Not used",1,"(41*35^(1/2)*log(x + 3/2))/1225 - (41*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1225 - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(70*(x + 3/2))","B"
1404,1,77,77,1.861006,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(3*x^2 + 2)^(1/2)),x)","\frac{291\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{291\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}-\frac{281\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4900\,\left(x+\frac{3}{2}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{280\,\left(x^2+3\,x+\frac{9}{4}\right)}","Not used",1,"(291*35^(1/2)*log(x + 3/2))/42875 - (291*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875 - (281*3^(1/2)*(x^2 + 2/3)^(1/2))/(4900*(x + 3/2)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(280*(3*x + x^2 + 9/4))","B"
1405,1,106,99,0.111819,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(3*x^2 + 2)^(1/2)),x)","\frac{57\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{60025}-\frac{57\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{60025}-\frac{5\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{343\,\left(x+\frac{3}{2}\right)}-\frac{4\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{245\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{840\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}","Not used",1,"(57*35^(1/2)*log(x + 3/2))/60025 - (57*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/60025 - (5*3^(1/2)*(x^2 + 2/3)^(1/2))/(343*(x + 3/2)) - (4*3^(1/2)*(x^2 + 2/3)^(1/2))/(245*(3*x + x^2 + 9/4)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(840*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8))","B"
1406,1,146,121,0.212845,"\text{Not used}","int(-(x - 5)/((2*x + 3)^5*(3*x^2 + 2)^(1/2)),x)","\frac{\sqrt{35}\,\left(\frac{2808\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{2808\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}\right)}{560}-\frac{\sqrt{35}\,\left(\frac{324\,\ln\left(x+\frac{3}{2}\right)}{8575}-\frac{324\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{8575}\right)}{280}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{18252}{42875\,\left(x+\frac{3}{2}\right)}+\frac{702}{1225\,{\left(x+\frac{3}{2}\right)}^2}+\frac{117}{175\,{\left(x+\frac{3}{2}\right)}^3}+\frac{39}{70\,{\left(x+\frac{3}{2}\right)}^4}\right)}{96}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{636}{8575\,\left(x+\frac{3}{2}\right)}+\frac{18}{245\,{\left(x+\frac{3}{2}\right)}^2}+\frac{2}{35\,{\left(x+\frac{3}{2}\right)}^3}\right)}{48}","Not used",1,"(35^(1/2)*((2808*log(x + 3/2))/42875 - (2808*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875))/560 - (35^(1/2)*((324*log(x + 3/2))/8575 - (324*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/8575))/280 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(18252/(42875*(x + 3/2)) + 702/(1225*(x + 3/2)^2) + 117/(175*(x + 3/2)^3) + 39/(70*(x + 3/2)^4)))/96 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(636/(8575*(x + 3/2)) + 18/(245*(x + 3/2)^2) + 2/(35*(x + 3/2)^3)))/48","B"
1407,1,160,143,1.925246,"\text{Not used}","int(-(x - 5)/((2*x + 3)^6*(3*x^2 + 2)^(1/2)),x)","\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{1404}{42875\,\left(x+\frac{3}{2}\right)}+\frac{54}{1225\,{\left(x+\frac{3}{2}\right)}^2}+\frac{9}{175\,{\left(x+\frac{3}{2}\right)}^3}+\frac{3}{70\,{\left(x+\frac{3}{2}\right)}^4}\right)}{96}-\frac{\sqrt{35}\,\left(\frac{555984\,\ln\left(x+\frac{3}{2}\right)}{7503125}-\frac{555984\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{7503125}\right)}{1120}-\frac{\sqrt{35}\,\left(\frac{216\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{216\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}\right)}{560}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{972504}{7503125\,\left(x+\frac{3}{2}\right)}+\frac{57564}{214375\,{\left(x+\frac{3}{2}\right)}^2}+\frac{12714}{30625\,{\left(x+\frac{3}{2}\right)}^3}+\frac{3159}{6125\,{\left(x+\frac{3}{2}\right)}^4}+\frac{78}{175\,{\left(x+\frac{3}{2}\right)}^5}\right)}{192}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(1404/(42875*(x + 3/2)) + 54/(1225*(x + 3/2)^2) + 9/(175*(x + 3/2)^3) + 3/(70*(x + 3/2)^4)))/96 - (35^(1/2)*((555984*log(x + 3/2))/7503125 - (555984*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/7503125))/1120 - (35^(1/2)*((216*log(x + 3/2))/42875 - (216*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875))/560 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(972504/(7503125*(x + 3/2)) + 57564/(214375*(x + 3/2)^2) + 12714/(30625*(x + 3/2)^3) + 3159/(6125*(x + 3/2)^4) + 78/(175*(x + 3/2)^5)))/192","B"
1408,1,110,89,0.056826,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(3*x^2 + 2)^(3/2),x)","\frac{880\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{16\,x^2}{9}+\frac{8\,x}{3}-\frac{2536}{27}\right)}{3}+\frac{\sqrt{3}\,\sqrt{6}\,\left(-44058+\sqrt{6}\,4809{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\left(44058+\sqrt{6}\,4809{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(880*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((8*x)/3 + (16*x^2)/9 - 2536/27))/3 + (3^(1/2)*6^(1/2)*(6^(1/2)*4809i - 44058)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x + (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(6^(1/2)*4809i + 44058)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x - (6^(1/2)*1i)/3))","B"
1409,1,105,67,1.759110,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(3*x^2 + 2)^(3/2),x)","\frac{134\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}-\frac{\sqrt{3}\,\left(\frac{4\,x}{3}-\frac{4}{3}\right)\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-12978+\sqrt{6}\,1281{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(12978+\sqrt{6}\,1281{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(134*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 - (3^(1/2)*((4*x)/3 - 4/3)*(x^2 + 2/3)^(1/2))/3 - (3^(1/2)*6^(1/2)*(6^(1/2)*1281i - 12978)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*1281i + 12978)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x + (6^(1/2)*1i)/3))","B"
1410,1,100,60,1.749934,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(3*x^2 + 2)^(3/2),x)","\frac{8\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}-\frac{4\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-966+\sqrt{6}\,357{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(966+\sqrt{6}\,357{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(8*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 - (4*3^(1/2)*(x^2 + 2/3)^(1/2))/9 - (3^(1/2)*6^(1/2)*(6^(1/2)*357i - 966)*(x^2 + 2/3)^(1/2)*1i)/(648*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*357i + 966)*(x^2 + 2/3)^(1/2)*1i)/(648*(x + (6^(1/2)*1i)/3))","B"
1411,1,88,40,1.775529,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(3*x^2 + 2)^(3/2),x)","-\frac{2\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-126+\sqrt{6}\,147{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(126+\sqrt{6}\,147{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"- (2*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 - (3^(1/2)*6^(1/2)*(6^(1/2)*147i - 126)*(x^2 + 2/3)^(1/2)*1i)/(648*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*147i + 126)*(x^2 + 2/3)^(1/2)*1i)/(648*(x + (6^(1/2)*1i)/3))","B"
1412,1,15,20,0.039858,"\text{Not used}","int(-(x - 5)/(3*x^2 + 2)^(3/2),x)","\frac{\frac{5\,x}{2}+\frac{1}{3}}{\sqrt{3\,x^2+2}}","Not used",1,"((5*x)/2 + 1/3)/(3*x^2 + 2)^(1/2)","B"
1413,1,106,53,1.808601,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(3*x^2 + 2)^(3/2)),x)","\frac{\sqrt{35}\,\left(26\,\ln\left(x+\frac{3}{2}\right)-26\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{1225}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-234+\sqrt{6}\,123{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7560\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(234+\sqrt{6}\,123{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7560\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(35^(1/2)*(26*log(x + 3/2) - 26*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/1225 - (3^(1/2)*6^(1/2)*(6^(1/2)*123i - 234)*(x^2 + 2/3)^(1/2)*1i)/(7560*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*123i + 234)*(x^2 + 2/3)^(1/2)*1i)/(7560*(x - (6^(1/2)*1i)/3))","B"
1414,1,157,82,0.123189,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(3*x^2 + 2)^(3/2)),x)","\frac{632\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{632\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}+\frac{71\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4900\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{71\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{4900\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{26\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1225\,\left(x+\frac{3}{2}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,199{}\mathrm{i}}{14700\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,199{}\mathrm{i}}{14700\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(632*35^(1/2)*log(x + 3/2))/42875 - (632*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875 + (71*3^(1/2)*(x^2 + 2/3)^(1/2))/(4900*(x - (6^(1/2)*1i)/3)) + (71*3^(1/2)*(x^2 + 2/3)^(1/2))/(4900*(x + (6^(1/2)*1i)/3)) - (26*3^(1/2)*(x^2 + 2/3)^(1/2))/(1225*(x + 3/2)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*199i)/(14700*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*199i)/(14700*(x + (6^(1/2)*1i)/3))","B"
1415,1,181,104,1.783983,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(3*x^2 + 2)^(3/2)),x)","\frac{1962\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{300125}-\frac{1962\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{300125}-\frac{157\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{171500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{157\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{171500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{107\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6125\,\left(x+\frac{3}{2}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{2450\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,739{}\mathrm{i}}{171500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,739{}\mathrm{i}}{171500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(1962*35^(1/2)*log(x + 3/2))/300125 - (1962*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/300125 - (157*3^(1/2)*(x^2 + 2/3)^(1/2))/(171500*(x - (6^(1/2)*1i)/3)) - (157*3^(1/2)*(x^2 + 2/3)^(1/2))/(171500*(x + (6^(1/2)*1i)/3)) - (107*3^(1/2)*(x^2 + 2/3)^(1/2))/(6125*(x + 3/2)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(2450*(3*x + x^2 + 9/4)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*739i)/(171500*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*739i)/(171500*(x + (6^(1/2)*1i)/3))","B"
1416,1,210,126,1.792678,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(3*x^2 + 2)^(3/2)),x)","\frac{3312\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1500625}-\frac{3312\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1500625}-\frac{10281\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6002500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{10281\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6002500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{13252\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1500625\,\left(x+\frac{3}{2}\right)}-\frac{197\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{42875\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{7350\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,6337{}\mathrm{i}}{6002500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,6337{}\mathrm{i}}{6002500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3312*35^(1/2)*log(x + 3/2))/1500625 - (3312*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1500625 - (10281*3^(1/2)*(x^2 + 2/3)^(1/2))/(6002500*(x - (6^(1/2)*1i)/3)) - (10281*3^(1/2)*(x^2 + 2/3)^(1/2))/(6002500*(x + (6^(1/2)*1i)/3)) - (13252*3^(1/2)*(x^2 + 2/3)^(1/2))/(1500625*(x + 3/2)) - (197*3^(1/2)*(x^2 + 2/3)^(1/2))/(42875*(3*x + x^2 + 9/4)) - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(7350*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*6337i)/(6002500*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*6337i)/(6002500*(x + (6^(1/2)*1i)/3))","B"
1417,1,244,148,0.144228,"\text{Not used}","int(-(x - 5)/((2*x + 3)^5*(3*x^2 + 2)^(3/2)),x)","\frac{30078\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{52521875}-\frac{30078\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{52521875}-\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{19600\,\left(x^4+6\,x^3+\frac{27\,x^2}{2}+\frac{27\,x}{2}+\frac{81}{16}\right)}-\frac{168573\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{210087500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{168573\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{210087500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{354467\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{105043750\,\left(x+\frac{3}{2}\right)}-\frac{14499\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{6002500\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{323\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{205800\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,36471{}\mathrm{i}}{210087500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,36471{}\mathrm{i}}{210087500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(30078*35^(1/2)*log(x + 3/2))/52521875 - (30078*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/52521875 - (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(19600*((27*x)/2 + (27*x^2)/2 + 6*x^3 + x^4 + 81/16)) - (168573*3^(1/2)*(x^2 + 2/3)^(1/2))/(210087500*(x - (6^(1/2)*1i)/3)) - (168573*3^(1/2)*(x^2 + 2/3)^(1/2))/(210087500*(x + (6^(1/2)*1i)/3)) - (354467*3^(1/2)*(x^2 + 2/3)^(1/2))/(105043750*(x + 3/2)) - (14499*3^(1/2)*(x^2 + 2/3)^(1/2))/(6002500*(3*x + x^2 + 9/4)) - (323*3^(1/2)*(x^2 + 2/3)^(1/2))/(205800*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*36471i)/(210087500*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*36471i)/(210087500*(x + (6^(1/2)*1i)/3))","B"
1418,1,222,116,1.708359,"\text{Not used}","int(-((2*x + 3)^6*(x - 5))/(3*x^2 + 2)^(5/2),x)","\frac{20720\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{81}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{64\,x^2}{27}+\frac{128\,x}{9}-\frac{7504}{81}\right)}{3}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{206689}{144}+\frac{\sqrt{6}\,81809{}\mathrm{i}}{432}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{206689}{216}+\frac{\sqrt{6}\,81809{}\mathrm{i}}{648}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{206689}{144}+\frac{\sqrt{6}\,81809{}\mathrm{i}}{432}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{206689}{216}+\frac{\sqrt{6}\,81809{}\mathrm{i}}{648}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-3390048+\sqrt{6}\,719421{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{23328\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(3390048+\sqrt{6}\,719421{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{23328\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(20720*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/81 - (3^(1/2)*(x^2 + 2/3)^(1/2)*((128*x)/9 + (64*x^2)/27 - 7504/81))/3 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*81809i)/432 - 206689/144)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*81809i)/648 - 206689/216)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*81809i)/432 + 206689/144)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*81809i)/648 + 206689/216)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*719421i - 3390048)*(x^2 + 2/3)^(1/2)*1i)/(23328*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*719421i + 3390048)*(x^2 + 2/3)^(1/2)*1i)/(23328*(x + (6^(1/2)*1i)/3))","B"
1419,1,217,94,0.046901,"\text{Not used}","int(-((2*x + 3)^5*(x - 5))/(3*x^2 + 2)^(5/2),x)","\frac{1600\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{81}-\frac{\sqrt{3}\,\left(\frac{16\,x}{9}+\frac{80}{9}\right)\,\sqrt{x^2+\frac{2}{3}}}{3}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{43799}{144}+\frac{\sqrt{6}\,18823{}\mathrm{i}}{144}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{43799}{216}+\frac{\sqrt{6}\,18823{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{43799}{144}+\frac{\sqrt{6}\,18823{}\mathrm{i}}{144}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{43799}{216}+\frac{\sqrt{6}\,18823{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-567360+\sqrt{6}\,290595{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{23328\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(567360+\sqrt{6}\,290595{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{23328\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(1600*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/81 - (3^(1/2)*((16*x)/9 + 80/9)*(x^2 + 2/3)^(1/2))/3 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*18823i)/144 - 43799/144)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*18823i)/216 - 43799/216)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*18823i)/144 + 43799/144)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*18823i)/216 + 43799/216)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*290595i - 567360)*(x^2 + 2/3)^(1/2)*1i)/(23328*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*290595i + 567360)*(x^2 + 2/3)^(1/2)*1i)/(23328*(x + (6^(1/2)*1i)/3))","B"
1420,1,212,87,1.721999,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(3*x^2 + 2)^(5/2),x)","-\frac{16\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{27}-\frac{16\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{1603}{48}+\frac{\sqrt{6}\,7343{}\mathrm{i}}{144}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{1603}{72}+\frac{\sqrt{6}\,7343{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{1603}{48}+\frac{\sqrt{6}\,7343{}\mathrm{i}}{144}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{1603}{72}+\frac{\sqrt{6}\,7343{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-20544+\sqrt{6}\,27063{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7776\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(20544+\sqrt{6}\,27063{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7776\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*7343i)/144 - 1603/48)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*7343i)/216 - 1603/72)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (16*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/27 - (16*3^(1/2)*(x^2 + 2/3)^(1/2))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*7343i)/144 + 1603/48)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*7343i)/216 + 1603/72)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*27063i - 20544)*(x^2 + 2/3)^(1/2)*1i)/(7776*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*27063i + 20544)*(x^2 + 2/3)^(1/2)*1i)/(7776*(x + (6^(1/2)*1i)/3))","B"
1421,1,200,67,1.701533,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(3*x^2 + 2)^(5/2),x)","-\frac{8\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{427}{48}+\frac{\sqrt{6}\,721{}\mathrm{i}}{48}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{427}{72}+\frac{\sqrt{6}\,721{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{427}{48}+\frac{\sqrt{6}\,721{}\mathrm{i}}{48}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{427}{72}+\frac{\sqrt{6}\,721{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-96+\sqrt{6}\,2067{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(96+\sqrt{6}\,2067{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*721i)/48 + 427/48)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*721i)/72 + 427/72)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*721i)/48 - 427/48)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*721i)/72 - 427/72)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (8*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*2067i - 96)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*2067i + 96)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x + (6^(1/2)*1i)/3))","B"
1422,1,185,48,1.697222,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(3*x^2 + 2)^(5/2),x)","-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{119}{16}+\frac{\sqrt{6}\,161{}\mathrm{i}}{48}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{119}{24}+\frac{\sqrt{6}\,161{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{119}{16}+\frac{\sqrt{6}\,161{}\mathrm{i}}{48}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{119}{24}+\frac{\sqrt{6}\,161{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-96+\sqrt{6}\,453{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(96+\sqrt{6}\,453{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*161i)/48 + 119/16)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*161i)/72 + 119/24)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*161i)/48 - 119/16)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*161i)/72 - 119/24)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*453i - 96)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*453i + 96)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x - (6^(1/2)*1i)/3))","B"
1423,1,161,37,0.043128,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(3*x^2 + 2)^(5/2),x)","\frac{41\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{144\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{41\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{144\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{49}{16}+\frac{\sqrt{6}\,7{}\mathrm{i}}{16}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{49}{24}+\frac{\sqrt{6}\,7{}\mathrm{i}}{24}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{49}{16}+\frac{\sqrt{6}\,7{}\mathrm{i}}{16}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{49}{24}+\frac{\sqrt{6}\,7{}\mathrm{i}}{24}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}","Not used",1,"(41*3^(1/2)*(x^2 + 2/3)^(1/2))/(144*(x - (6^(1/2)*1i)/3)) + (41*3^(1/2)*(x^2 + 2/3)^(1/2))/(144*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*7i)/16 - 49/16)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*7i)/24 - 49/24)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*7i)/16 + 49/16)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*7i)/24 + 49/24)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27","B"
1424,1,161,37,1.691114,"\text{Not used}","int(-(x - 5)/(3*x^2 + 2)^(5/2),x)","\frac{5\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{48\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{5\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{48\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{15}{16}+\frac{\sqrt{6}\,1{}\mathrm{i}}{16}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{5}{8}+\frac{\sqrt{6}\,1{}\mathrm{i}}{24}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{15}{16}+\frac{\sqrt{6}\,1{}\mathrm{i}}{16}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{5}{8}+\frac{\sqrt{6}\,1{}\mathrm{i}}{24}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}","Not used",1,"(5*3^(1/2)*(x^2 + 2/3)^(1/2))/(48*(x - (6^(1/2)*1i)/3)) + (5*3^(1/2)*(x^2 + 2/3)^(1/2))/(48*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*1i)/16 - 15/16)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*1i)/24 - 5/8)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*1i)/16 + 15/16)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*1i)/24 + 5/8)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27","B"
1425,1,218,73,0.135629,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(3*x^2 + 2)^(5/2)),x)","\frac{\sqrt{35}\,\left(104\,\ln\left(x+\frac{3}{2}\right)-104\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{42875}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{123}{560}+\frac{\sqrt{6}\,39{}\mathrm{i}}{560}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{41}{280}+\frac{\sqrt{6}\,13{}\mathrm{i}}{280}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{123}{560}+\frac{\sqrt{6}\,39{}\mathrm{i}}{560}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{41}{280}+\frac{\sqrt{6}\,13{}\mathrm{i}}{280}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-3744+\sqrt{6}\,7113{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1058400\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(3744+\sqrt{6}\,7113{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1058400\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(35^(1/2)*(104*log(x + 3/2) - 104*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/42875 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*39i)/560 - 123/560)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*13i)/280 - 41/280)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*39i)/560 + 123/560)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*13i)/280 + 41/280)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*7113i - 3744)*(x^2 + 2/3)^(1/2)*1i)/(1058400*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*7113i + 3744)*(x^2 + 2/3)^(1/2)*1i)/(1058400*(x - (6^(1/2)*1i)/3))","B"
1426,1,270,109,1.882554,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(3*x^2 + 2)^(5/2)),x)","\frac{\sqrt{35}\,\left(3464\,\ln\left(x+\frac{3}{2}\right)-3464\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)\right)}{1500625}+\frac{\sqrt{35}\,\left(\frac{1872\,\ln\left(x+\frac{3}{2}\right)}{42875}-\frac{1872\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{42875}\right)}{70}-\frac{104\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{42875\,\left(x+\frac{3}{2}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{639}{19600}+\frac{\sqrt{6}\,597{}\mathrm{i}}{19600}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{213}{9800}+\frac{\sqrt{6}\,199{}\mathrm{i}}{9800}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{639}{19600}+\frac{\sqrt{6}\,597{}\mathrm{i}}{19600}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{213}{9800}+\frac{\sqrt{6}\,199{}\mathrm{i}}{9800}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-41568+\sqrt{6}\,27711{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{12348000\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(41568+\sqrt{6}\,27711{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{12348000\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(35^(1/2)*(3464*log(x + 3/2) - 3464*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9)))/1500625 + (35^(1/2)*((1872*log(x + 3/2))/42875 - (1872*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/42875))/70 - (104*3^(1/2)*(x^2 + 2/3)^(1/2))/(42875*(x + 3/2)) - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*597i)/19600 - 639/19600)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*199i)/9800 - 213/9800)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*597i)/19600 + 639/19600)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*199i)/9800 + 213/9800)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*27711i - 41568)*(x^2 + 2/3)^(1/2)*1i)/(12348000*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*27711i + 41568)*(x^2 + 2/3)^(1/2)*1i)/(12348000*(x - (6^(1/2)*1i)/3))","B"
1427,1,301,131,1.828982,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(3*x^2 + 2)^(5/2)),x)","\frac{3072\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{1500625}-\frac{3072\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{1500625}-\frac{739\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1029000\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}+\frac{59203\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{18007500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{59203\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{18007500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{739\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1029000\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}-\frac{4868\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1500625\,\left(x+\frac{3}{2}\right)}-\frac{26\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{42875\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,157{}\mathrm{i}}{6174000\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,164201{}\mathrm{i}}{72030000\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,164201{}\mathrm{i}}{72030000\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,157{}\mathrm{i}}{6174000\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}","Not used",1,"(3072*35^(1/2)*log(x + 3/2))/1500625 - (3072*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/1500625 - (739*3^(1/2)*(x^2 + 2/3)^(1/2))/(1029000*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) + (59203*3^(1/2)*(x^2 + 2/3)^(1/2))/(18007500*(x - (6^(1/2)*1i)/3)) + (59203*3^(1/2)*(x^2 + 2/3)^(1/2))/(18007500*(x + (6^(1/2)*1i)/3)) + (739*3^(1/2)*(x^2 + 2/3)^(1/2))/(1029000*((6^(1/2)*x*2i)/3 - x^2 + 2/3)) - (4868*3^(1/2)*(x^2 + 2/3)^(1/2))/(1500625*(x + 3/2)) - (26*3^(1/2)*(x^2 + 2/3)^(1/2))/(42875*(3*x + x^2 + 9/4)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*157i)/(6174000*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*164201i)/(72030000*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*164201i)/(72030000*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*157i)/(6174000*((6^(1/2)*x*2i)/3 - x^2 + 2/3))","B"
1428,1,330,153,1.861639,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(3*x^2 + 2)^(5/2)),x)","\frac{55344\,\sqrt{35}\,\ln\left(x+\frac{3}{2}\right)}{52521875}-\frac{55344\,\sqrt{35}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{35}\,\sqrt{x^2+\frac{2}{3}}}{9}-\frac{4}{9}\right)}{52521875}-\frac{6337\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{36015000\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}+\frac{49879\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{210087500\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{49879\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{210087500\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{6337\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{36015000\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}-\frac{129712\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{52521875\,\left(x+\frac{3}{2}\right)}-\frac{1256\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1500625\,\left(x^2+3\,x+\frac{9}{4}\right)}-\frac{26\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{128625\,\left(x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,3427{}\mathrm{i}}{72030000\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,2288579{}\mathrm{i}}{2521050000\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,2288579{}\mathrm{i}}{2521050000\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,3427{}\mathrm{i}}{72030000\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}","Not used",1,"(55344*35^(1/2)*log(x + 3/2))/52521875 - (55344*35^(1/2)*log(x - (3^(1/2)*35^(1/2)*(x^2 + 2/3)^(1/2))/9 - 4/9))/52521875 - (6337*3^(1/2)*(x^2 + 2/3)^(1/2))/(36015000*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) + (49879*3^(1/2)*(x^2 + 2/3)^(1/2))/(210087500*(x - (6^(1/2)*1i)/3)) + (49879*3^(1/2)*(x^2 + 2/3)^(1/2))/(210087500*(x + (6^(1/2)*1i)/3)) + (6337*3^(1/2)*(x^2 + 2/3)^(1/2))/(36015000*((6^(1/2)*x*2i)/3 - x^2 + 2/3)) - (129712*3^(1/2)*(x^2 + 2/3)^(1/2))/(52521875*(x + 3/2)) - (1256*3^(1/2)*(x^2 + 2/3)^(1/2))/(1500625*(3*x + x^2 + 9/4)) - (26*3^(1/2)*(x^2 + 2/3)^(1/2))/(128625*((27*x)/4 + (9*x^2)/2 + x^3 + 27/8)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*3427i)/(72030000*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*2288579i)/(2521050000*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*2288579i)/(2521050000*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*3427i)/(72030000*((6^(1/2)*x*2i)/3 - x^2 + 2/3))","B"
1429,1,100,116,0.090763,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(6\,B\,c\,d^2-4\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{7\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}+\frac{2\,c\,\left(A\,e-3\,B\,d\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,\left(A\,e-B\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}","Not used",1,"((d + e*x)^(7/2)*(2*B*a*e^2 + 6*B*c*d^2 - 4*A*c*d*e))/(7*e^4) + (2*B*c*(d + e*x)^(11/2))/(11*e^4) + (2*c*(A*e - 3*B*d)*(d + e*x)^(9/2))/(9*e^4) + (2*(a*e^2 + c*d^2)*(A*e - B*d)*(d + e*x)^(5/2))/(5*e^4)","B"
1430,1,100,116,1.744488,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(6\,B\,c\,d^2-4\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{5\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{2\,c\,\left(A\,e-3\,B\,d\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,\left(A\,e-B\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}","Not used",1,"((d + e*x)^(5/2)*(2*B*a*e^2 + 6*B*c*d^2 - 4*A*c*d*e))/(5*e^4) + (2*B*c*(d + e*x)^(9/2))/(9*e^4) + (2*c*(A*e - 3*B*d)*(d + e*x)^(7/2))/(7*e^4) + (2*(a*e^2 + c*d^2)*(A*e - B*d)*(d + e*x)^(3/2))/(3*e^4)","B"
1431,1,100,114,0.067891,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(6\,B\,c\,d^2-4\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{3\,e^4}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,c\,\left(A\,e-3\,B\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,\left(A\,e-B\,d\right)\,\sqrt{d+e\,x}}{e^4}","Not used",1,"((d + e*x)^(3/2)*(2*B*a*e^2 + 6*B*c*d^2 - 4*A*c*d*e))/(3*e^4) + (2*B*c*(d + e*x)^(7/2))/(7*e^4) + (2*c*(A*e - 3*B*d)*(d + e*x)^(5/2))/(5*e^4) + (2*(a*e^2 + c*d^2)*(A*e - B*d)*(d + e*x)^(1/2))/e^4","B"
1432,1,111,112,0.074528,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^(3/2),x)","\frac{\sqrt{d+e\,x}\,\left(6\,B\,c\,d^2-4\,A\,c\,d\,e+2\,B\,a\,e^2\right)}{e^4}-\frac{-2\,B\,c\,d^3+2\,A\,c\,d^2\,e-2\,B\,a\,d\,e^2+2\,A\,a\,e^3}{e^4\,\sqrt{d+e\,x}}+\frac{2\,B\,c\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{2\,c\,\left(A\,e-3\,B\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}","Not used",1,"((d + e*x)^(1/2)*(2*B*a*e^2 + 6*B*c*d^2 - 4*A*c*d*e))/e^4 - (2*A*a*e^3 - 2*B*c*d^3 - 2*B*a*d*e^2 + 2*A*c*d^2*e)/(e^4*(d + e*x)^(1/2)) + (2*B*c*(d + e*x)^(5/2))/(5*e^4) + (2*c*(A*e - 3*B*d)*(d + e*x)^(3/2))/(3*e^4)","B"
1433,1,113,112,1.765511,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^(5/2),x)","\frac{2\,B\,c\,{\left(d+e\,x\right)}^3-2\,A\,a\,e^3+2\,B\,c\,d^3+2\,B\,a\,d\,e^2-2\,A\,c\,d^2\,e-6\,B\,a\,e^2\,\left(d+e\,x\right)+6\,A\,c\,e\,{\left(d+e\,x\right)}^2-18\,B\,c\,d\,{\left(d+e\,x\right)}^2-18\,B\,c\,d^2\,\left(d+e\,x\right)+12\,A\,c\,d\,e\,\left(d+e\,x\right)}{3\,e^4\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*B*c*(d + e*x)^3 - 2*A*a*e^3 + 2*B*c*d^3 + 2*B*a*d*e^2 - 2*A*c*d^2*e - 6*B*a*e^2*(d + e*x) + 6*A*c*e*(d + e*x)^2 - 18*B*c*d*(d + e*x)^2 - 18*B*c*d^2*(d + e*x) + 12*A*c*d*e*(d + e*x))/(3*e^4*(d + e*x)^(3/2))","B"
1434,1,100,112,1.744668,"\text{Not used}","int(((a + c*x^2)*(A + B*x))/(d + e*x)^(7/2),x)","-\frac{2\,\left(-48\,B\,c\,d^3-120\,B\,c\,d^2\,e\,x+8\,A\,c\,d^2\,e-90\,B\,c\,d\,e^2\,x^2+20\,A\,c\,d\,e^2\,x+2\,B\,a\,d\,e^2-15\,B\,c\,e^3\,x^3+15\,A\,c\,e^3\,x^2+5\,B\,a\,e^3\,x+3\,A\,a\,e^3\right)}{15\,e^4\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-(2*(3*A*a*e^3 - 48*B*c*d^3 + 2*B*a*d*e^2 + 8*A*c*d^2*e + 5*B*a*e^3*x + 15*A*c*e^3*x^2 - 15*B*c*e^3*x^3 - 90*B*c*d*e^2*x^2 + 20*A*c*d*e^2*x - 120*B*c*d^2*e*x))/(15*e^4*(d + e*x)^(5/2))","B"
1435,1,197,218,1.790718,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e+4\,B\,a\,c\,e^2\right)}{9\,e^6}+\frac{4\,c\,{\left(d+e\,x\right)}^{7/2}\,\left(-5\,B\,c\,d^3+3\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{7\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(5\,B\,c\,d^2-4\,A\,c\,d\,e+B\,a\,e^2\right)}{5\,e^6}+\frac{2\,c^2\,\left(A\,e-5\,B\,d\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{2\,{\left(c\,d^2+a\,e^2\right)}^2\,\left(A\,e-B\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}","Not used",1,"((d + e*x)^(9/2)*(20*B*c^2*d^2 + 4*B*a*c*e^2 - 8*A*c^2*d*e))/(9*e^6) + (4*c*(d + e*x)^(7/2)*(A*a*e^3 - 5*B*c*d^3 - 3*B*a*d*e^2 + 3*A*c*d^2*e))/(7*e^6) + (2*B*c^2*(d + e*x)^(13/2))/(13*e^6) + (2*(a*e^2 + c*d^2)*(d + e*x)^(5/2)*(B*a*e^2 + 5*B*c*d^2 - 4*A*c*d*e))/(5*e^6) + (2*c^2*(A*e - 5*B*d)*(d + e*x)^(11/2))/(11*e^6) + (2*(a*e^2 + c*d^2)^2*(A*e - B*d)*(d + e*x)^(3/2))/(3*e^6)","B"
1436,1,197,216,1.710868,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e+4\,B\,a\,c\,e^2\right)}{7\,e^6}+\frac{4\,c\,{\left(d+e\,x\right)}^{5/2}\,\left(-5\,B\,c\,d^3+3\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{5\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(5\,B\,c\,d^2-4\,A\,c\,d\,e+B\,a\,e^2\right)}{3\,e^6}+\frac{2\,c^2\,\left(A\,e-5\,B\,d\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{2\,{\left(c\,d^2+a\,e^2\right)}^2\,\left(A\,e-B\,d\right)\,\sqrt{d+e\,x}}{e^6}","Not used",1,"((d + e*x)^(7/2)*(20*B*c^2*d^2 + 4*B*a*c*e^2 - 8*A*c^2*d*e))/(7*e^6) + (4*c*(d + e*x)^(5/2)*(A*a*e^3 - 5*B*c*d^3 - 3*B*a*d*e^2 + 3*A*c*d^2*e))/(5*e^6) + (2*B*c^2*(d + e*x)^(11/2))/(11*e^6) + (2*(a*e^2 + c*d^2)*(d + e*x)^(3/2)*(B*a*e^2 + 5*B*c*d^2 - 4*A*c*d*e))/(3*e^6) + (2*c^2*(A*e - 5*B*d)*(d + e*x)^(9/2))/(9*e^6) + (2*(a*e^2 + c*d^2)^2*(A*e - B*d)*(d + e*x)^(1/2))/e^6","B"
1437,1,237,214,0.066848,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e+4\,B\,a\,c\,e^2\right)}{5\,e^6}-\frac{-2\,B\,a^2\,d\,e^4+2\,A\,a^2\,e^5-4\,B\,a\,c\,d^3\,e^2+4\,A\,a\,c\,d^2\,e^3-2\,B\,c^2\,d^5+2\,A\,c^2\,d^4\,e}{e^6\,\sqrt{d+e\,x}}+\frac{4\,c\,{\left(d+e\,x\right)}^{3/2}\,\left(-5\,B\,c\,d^3+3\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{3\,e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{2\,\left(c\,d^2+a\,e^2\right)\,\sqrt{d+e\,x}\,\left(5\,B\,c\,d^2-4\,A\,c\,d\,e+B\,a\,e^2\right)}{e^6}+\frac{2\,c^2\,\left(A\,e-5\,B\,d\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}","Not used",1,"((d + e*x)^(5/2)*(20*B*c^2*d^2 + 4*B*a*c*e^2 - 8*A*c^2*d*e))/(5*e^6) - (2*A*a^2*e^5 - 2*B*c^2*d^5 - 2*B*a^2*d*e^4 + 2*A*c^2*d^4*e + 4*A*a*c*d^2*e^3 - 4*B*a*c*d^3*e^2)/(e^6*(d + e*x)^(1/2)) + (4*c*(d + e*x)^(3/2)*(A*a*e^3 - 5*B*c*d^3 - 3*B*a*d*e^2 + 3*A*c*d^2*e))/(3*e^6) + (2*B*c^2*(d + e*x)^(9/2))/(9*e^6) + (2*(a*e^2 + c*d^2)*(d + e*x)^(1/2)*(B*a*e^2 + 5*B*c*d^2 - 4*A*c*d*e))/e^6 + (2*c^2*(A*e - 5*B*d)*(d + e*x)^(7/2))/(7*e^6)","B"
1438,1,249,214,1.726491,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e+4\,B\,a\,c\,e^2\right)}{3\,e^6}-\frac{\left(d+e\,x\right)\,\left(2\,B\,a^2\,e^4+12\,B\,a\,c\,d^2\,e^2-8\,A\,a\,c\,d\,e^3+10\,B\,c^2\,d^4-8\,A\,c^2\,d^3\,e\right)+\frac{2\,A\,a^2\,e^5}{3}-\frac{2\,B\,c^2\,d^5}{3}-\frac{2\,B\,a^2\,d\,e^4}{3}+\frac{2\,A\,c^2\,d^4\,e}{3}+\frac{4\,A\,a\,c\,d^2\,e^3}{3}-\frac{4\,B\,a\,c\,d^3\,e^2}{3}}{e^6\,{\left(d+e\,x\right)}^{3/2}}+\frac{4\,c\,\sqrt{d+e\,x}\,\left(-5\,B\,c\,d^3+3\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{e^6}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{2\,c^2\,\left(A\,e-5\,B\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}","Not used",1,"((d + e*x)^(3/2)*(20*B*c^2*d^2 + 4*B*a*c*e^2 - 8*A*c^2*d*e))/(3*e^6) - ((d + e*x)*(2*B*a^2*e^4 + 10*B*c^2*d^4 - 8*A*c^2*d^3*e - 8*A*a*c*d*e^3 + 12*B*a*c*d^2*e^2) + (2*A*a^2*e^5)/3 - (2*B*c^2*d^5)/3 - (2*B*a^2*d*e^4)/3 + (2*A*c^2*d^4*e)/3 + (4*A*a*c*d^2*e^3)/3 - (4*B*a*c*d^3*e^2)/3)/(e^6*(d + e*x)^(3/2)) + (4*c*(d + e*x)^(1/2)*(A*a*e^3 - 5*B*c*d^3 - 3*B*a*d*e^2 + 3*A*c*d^2*e))/e^6 + (2*B*c^2*(d + e*x)^(7/2))/(7*e^6) + (2*c^2*(A*e - 5*B*d)*(d + e*x)^(5/2))/(5*e^6)","B"
1439,1,251,214,1.792578,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^(7/2),x)","\frac{\sqrt{d+e\,x}\,\left(20\,B\,c^2\,d^2-8\,A\,c^2\,d\,e+4\,B\,a\,c\,e^2\right)}{e^6}-\frac{\left(d+e\,x\right)\,\left(\frac{2\,B\,a^2\,e^4}{3}+4\,B\,a\,c\,d^2\,e^2-\frac{8\,A\,a\,c\,d\,e^3}{3}+\frac{10\,B\,c^2\,d^4}{3}-\frac{8\,A\,c^2\,d^3\,e}{3}\right)-{\left(d+e\,x\right)}^2\,\left(20\,B\,c^2\,d^3-12\,A\,c^2\,d^2\,e+12\,B\,a\,c\,d\,e^2-4\,A\,a\,c\,e^3\right)+\frac{2\,A\,a^2\,e^5}{5}-\frac{2\,B\,c^2\,d^5}{5}-\frac{2\,B\,a^2\,d\,e^4}{5}+\frac{2\,A\,c^2\,d^4\,e}{5}+\frac{4\,A\,a\,c\,d^2\,e^3}{5}-\frac{4\,B\,a\,c\,d^3\,e^2}{5}}{e^6\,{\left(d+e\,x\right)}^{5/2}}+\frac{2\,B\,c^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}+\frac{2\,c^2\,\left(A\,e-5\,B\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}","Not used",1,"((d + e*x)^(1/2)*(20*B*c^2*d^2 + 4*B*a*c*e^2 - 8*A*c^2*d*e))/e^6 - ((d + e*x)*((2*B*a^2*e^4)/3 + (10*B*c^2*d^4)/3 - (8*A*c^2*d^3*e)/3 - (8*A*a*c*d*e^3)/3 + 4*B*a*c*d^2*e^2) - (d + e*x)^2*(20*B*c^2*d^3 - 4*A*a*c*e^3 - 12*A*c^2*d^2*e + 12*B*a*c*d*e^2) + (2*A*a^2*e^5)/5 - (2*B*c^2*d^5)/5 - (2*B*a^2*d*e^4)/5 + (2*A*c^2*d^4*e)/5 + (4*A*a*c*d^2*e^3)/5 - (4*B*a*c*d^3*e^2)/5)/(e^6*(d + e*x)^(5/2)) + (2*B*c^2*(d + e*x)^(5/2))/(5*e^6) + (2*c^2*(A*e - 5*B*d)*(d + e*x)^(3/2))/(3*e^6)","B"
1440,1,258,214,1.821470,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x))/(d + e*x)^(9/2),x)","-\frac{2\,\left(6\,B\,a^2\,d\,e^4+21\,B\,a^2\,e^5\,x+15\,A\,a^2\,e^5+96\,B\,a\,c\,d^3\,e^2+336\,B\,a\,c\,d^2\,e^3\,x+16\,A\,a\,c\,d^2\,e^3+420\,B\,a\,c\,d\,e^4\,x^2+56\,A\,a\,c\,d\,e^4\,x+210\,B\,a\,c\,e^5\,x^3+70\,A\,a\,c\,e^5\,x^2+1280\,B\,c^2\,d^5+4480\,B\,c^2\,d^4\,e\,x-384\,A\,c^2\,d^4\,e+5600\,B\,c^2\,d^3\,e^2\,x^2-1344\,A\,c^2\,d^3\,e^2\,x+2800\,B\,c^2\,d^2\,e^3\,x^3-1680\,A\,c^2\,d^2\,e^3\,x^2+350\,B\,c^2\,d\,e^4\,x^4-840\,A\,c^2\,d\,e^4\,x^3-35\,B\,c^2\,e^5\,x^5-105\,A\,c^2\,e^5\,x^4\right)}{105\,e^6\,{\left(d+e\,x\right)}^{7/2}}","Not used",1,"-(2*(15*A*a^2*e^5 + 1280*B*c^2*d^5 + 6*B*a^2*d*e^4 - 384*A*c^2*d^4*e + 21*B*a^2*e^5*x - 105*A*c^2*e^5*x^4 - 35*B*c^2*e^5*x^5 + 70*A*a*c*e^5*x^2 + 210*B*a*c*e^5*x^3 + 4480*B*c^2*d^4*e*x - 1344*A*c^2*d^3*e^2*x - 840*A*c^2*d*e^4*x^3 + 350*B*c^2*d*e^4*x^4 - 1680*A*c^2*d^2*e^3*x^2 + 5600*B*c^2*d^3*e^2*x^2 + 2800*B*c^2*d^2*e^3*x^3 + 16*A*a*c*d^2*e^3 + 96*B*a*c*d^3*e^2 + 56*A*a*c*d*e^4*x + 336*B*a*c*d^2*e^3*x + 420*B*a*c*d*e^4*x^2))/(105*e^6*(d + e*x)^(7/2))","B"
1441,1,324,348,0.137628,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(6\,B\,a^2\,c\,e^4+60\,B\,a\,c^2\,d^2\,e^2-24\,A\,a\,c^2\,d\,e^3+70\,B\,c^3\,d^4-40\,A\,c^3\,d^3\,e\right)}{7\,e^8}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{11\,e^8}+\frac{2\,{\left(c\,d^2+a\,e^2\right)}^2\,{\left(d+e\,x\right)}^{3/2}\,\left(7\,B\,c\,d^2-6\,A\,c\,d\,e+B\,a\,e^2\right)}{3\,e^8}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}+\frac{2\,c^2\,{\left(d+e\,x\right)}^{9/2}\,\left(-35\,B\,c\,d^3+15\,A\,c\,d^2\,e-15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{9\,e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{2\,{\left(c\,d^2+a\,e^2\right)}^3\,\left(A\,e-B\,d\right)\,\sqrt{d+e\,x}}{e^8}+\frac{6\,c\,\left(c\,d^2+a\,e^2\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(-7\,B\,c\,d^3+5\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{5\,e^8}","Not used",1,"((d + e*x)^(7/2)*(70*B*c^3*d^4 + 6*B*a^2*c*e^4 - 40*A*c^3*d^3*e + 60*B*a*c^2*d^2*e^2 - 24*A*a*c^2*d*e^3))/(7*e^8) + ((d + e*x)^(11/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/(11*e^8) + (2*(a*e^2 + c*d^2)^2*(d + e*x)^(3/2)*(B*a*e^2 + 7*B*c*d^2 - 6*A*c*d*e))/(3*e^8) + (2*B*c^3*(d + e*x)^(15/2))/(15*e^8) + (2*c^2*(d + e*x)^(9/2)*(3*A*a*e^3 - 35*B*c*d^3 - 15*B*a*d*e^2 + 15*A*c*d^2*e))/(9*e^8) + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(13/2))/(13*e^8) + (2*(a*e^2 + c*d^2)^3*(A*e - B*d)*(d + e*x)^(1/2))/e^8 + (6*c*(a*e^2 + c*d^2)*(d + e*x)^(5/2)*(A*a*e^3 - 7*B*c*d^3 - 3*B*a*d*e^2 + 5*A*c*d^2*e))/(5*e^8)","B"
1442,1,394,344,1.839494,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(6\,B\,a^2\,c\,e^4+60\,B\,a\,c^2\,d^2\,e^2-24\,A\,a\,c^2\,d\,e^3+70\,B\,c^3\,d^4-40\,A\,c^3\,d^3\,e\right)}{5\,e^8}-\frac{-2\,B\,a^3\,d\,e^6+2\,A\,a^3\,e^7-6\,B\,a^2\,c\,d^3\,e^4+6\,A\,a^2\,c\,d^2\,e^5-6\,B\,a\,c^2\,d^5\,e^2+6\,A\,a\,c^2\,d^4\,e^3-2\,B\,c^3\,d^7+2\,A\,c^3\,d^6\,e}{e^8\,\sqrt{d+e\,x}}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{9\,e^8}+\frac{2\,{\left(c\,d^2+a\,e^2\right)}^2\,\sqrt{d+e\,x}\,\left(7\,B\,c\,d^2-6\,A\,c\,d\,e+B\,a\,e^2\right)}{e^8}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{2\,c^2\,{\left(d+e\,x\right)}^{7/2}\,\left(-35\,B\,c\,d^3+15\,A\,c\,d^2\,e-15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{7\,e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{2\,c\,\left(c\,d^2+a\,e^2\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(-7\,B\,c\,d^3+5\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{e^8}","Not used",1,"((d + e*x)^(5/2)*(70*B*c^3*d^4 + 6*B*a^2*c*e^4 - 40*A*c^3*d^3*e + 60*B*a*c^2*d^2*e^2 - 24*A*a*c^2*d*e^3))/(5*e^8) - (2*A*a^3*e^7 - 2*B*c^3*d^7 - 2*B*a^3*d*e^6 + 2*A*c^3*d^6*e + 6*A*a*c^2*d^4*e^3 + 6*A*a^2*c*d^2*e^5 - 6*B*a*c^2*d^5*e^2 - 6*B*a^2*c*d^3*e^4)/(e^8*(d + e*x)^(1/2)) + ((d + e*x)^(9/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/(9*e^8) + (2*(a*e^2 + c*d^2)^2*(d + e*x)^(1/2)*(B*a*e^2 + 7*B*c*d^2 - 6*A*c*d*e))/e^8 + (2*B*c^3*(d + e*x)^(13/2))/(13*e^8) + (2*c^2*(d + e*x)^(7/2)*(3*A*a*e^3 - 35*B*c*d^3 - 15*B*a*d*e^2 + 15*A*c*d^2*e))/(7*e^8) + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(11/2))/(11*e^8) + (2*c*(a*e^2 + c*d^2)*(d + e*x)^(3/2)*(A*a*e^3 - 7*B*c*d^3 - 3*B*a*d*e^2 + 5*A*c*d^2*e))/e^8","B"
1443,1,434,346,1.832115,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(6\,B\,a^2\,c\,e^4+60\,B\,a\,c^2\,d^2\,e^2-24\,A\,a\,c^2\,d\,e^3+70\,B\,c^3\,d^4-40\,A\,c^3\,d^3\,e\right)}{3\,e^8}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{7\,e^8}-\frac{\left(d+e\,x\right)\,\left(2\,B\,a^3\,e^6+18\,B\,a^2\,c\,d^2\,e^4-12\,A\,a^2\,c\,d\,e^5+30\,B\,a\,c^2\,d^4\,e^2-24\,A\,a\,c^2\,d^3\,e^3+14\,B\,c^3\,d^6-12\,A\,c^3\,d^5\,e\right)+\frac{2\,A\,a^3\,e^7}{3}-\frac{2\,B\,c^3\,d^7}{3}-\frac{2\,B\,a^3\,d\,e^6}{3}+\frac{2\,A\,c^3\,d^6\,e}{3}+2\,A\,a\,c^2\,d^4\,e^3+2\,A\,a^2\,c\,d^2\,e^5-2\,B\,a\,c^2\,d^5\,e^2-2\,B\,a^2\,c\,d^3\,e^4}{e^8\,{\left(d+e\,x\right)}^{3/2}}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{2\,c^2\,{\left(d+e\,x\right)}^{5/2}\,\left(-35\,B\,c\,d^3+15\,A\,c\,d^2\,e-15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{5\,e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{6\,c\,\left(c\,d^2+a\,e^2\right)\,\sqrt{d+e\,x}\,\left(-7\,B\,c\,d^3+5\,A\,c\,d^2\,e-3\,B\,a\,d\,e^2+A\,a\,e^3\right)}{e^8}","Not used",1,"((d + e*x)^(3/2)*(70*B*c^3*d^4 + 6*B*a^2*c*e^4 - 40*A*c^3*d^3*e + 60*B*a*c^2*d^2*e^2 - 24*A*a*c^2*d*e^3))/(3*e^8) + ((d + e*x)^(7/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/(7*e^8) - ((d + e*x)*(2*B*a^3*e^6 + 14*B*c^3*d^6 - 12*A*c^3*d^5*e - 24*A*a*c^2*d^3*e^3 + 30*B*a*c^2*d^4*e^2 + 18*B*a^2*c*d^2*e^4 - 12*A*a^2*c*d*e^5) + (2*A*a^3*e^7)/3 - (2*B*c^3*d^7)/3 - (2*B*a^3*d*e^6)/3 + (2*A*c^3*d^6*e)/3 + 2*A*a*c^2*d^4*e^3 + 2*A*a^2*c*d^2*e^5 - 2*B*a*c^2*d^5*e^2 - 2*B*a^2*c*d^3*e^4)/(e^8*(d + e*x)^(3/2)) + (2*B*c^3*(d + e*x)^(11/2))/(11*e^8) + (2*c^2*(d + e*x)^(5/2)*(3*A*a*e^3 - 35*B*c*d^3 - 15*B*a*d*e^2 + 15*A*c*d^2*e))/(5*e^8) + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(9/2))/(9*e^8) + (6*c*(a*e^2 + c*d^2)*(d + e*x)^(1/2)*(A*a*e^3 - 7*B*c*d^3 - 3*B*a*d*e^2 + 5*A*c*d^2*e))/e^8","B"
1444,1,455,346,1.842577,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(7/2),x)","\frac{\sqrt{d+e\,x}\,\left(6\,B\,a^2\,c\,e^4+60\,B\,a\,c^2\,d^2\,e^2-24\,A\,a\,c^2\,d\,e^3+70\,B\,c^3\,d^4-40\,A\,c^3\,d^3\,e\right)}{e^8}-\frac{\left(d+e\,x\right)\,\left(\frac{2\,B\,a^3\,e^6}{3}+6\,B\,a^2\,c\,d^2\,e^4-4\,A\,a^2\,c\,d\,e^5+10\,B\,a\,c^2\,d^4\,e^2-8\,A\,a\,c^2\,d^3\,e^3+\frac{14\,B\,c^3\,d^6}{3}-4\,A\,c^3\,d^5\,e\right)-{\left(d+e\,x\right)}^2\,\left(18\,B\,a^2\,c\,d\,e^4-6\,A\,a^2\,c\,e^5+60\,B\,a\,c^2\,d^3\,e^2-36\,A\,a\,c^2\,d^2\,e^3+42\,B\,c^3\,d^5-30\,A\,c^3\,d^4\,e\right)+\frac{2\,A\,a^3\,e^7}{5}-\frac{2\,B\,c^3\,d^7}{5}-\frac{2\,B\,a^3\,d\,e^6}{5}+\frac{2\,A\,c^3\,d^6\,e}{5}+\frac{6\,A\,a\,c^2\,d^4\,e^3}{5}+\frac{6\,A\,a^2\,c\,d^2\,e^5}{5}-\frac{6\,B\,a\,c^2\,d^5\,e^2}{5}-\frac{6\,B\,a^2\,c\,d^3\,e^4}{5}}{e^8\,{\left(d+e\,x\right)}^{5/2}}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{5\,e^8}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{2\,c^2\,{\left(d+e\,x\right)}^{3/2}\,\left(-35\,B\,c\,d^3+15\,A\,c\,d^2\,e-15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{3\,e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^8}","Not used",1,"((d + e*x)^(1/2)*(70*B*c^3*d^4 + 6*B*a^2*c*e^4 - 40*A*c^3*d^3*e + 60*B*a*c^2*d^2*e^2 - 24*A*a*c^2*d*e^3))/e^8 - ((d + e*x)*((2*B*a^3*e^6)/3 + (14*B*c^3*d^6)/3 - 4*A*c^3*d^5*e - 8*A*a*c^2*d^3*e^3 + 10*B*a*c^2*d^4*e^2 + 6*B*a^2*c*d^2*e^4 - 4*A*a^2*c*d*e^5) - (d + e*x)^2*(42*B*c^3*d^5 - 6*A*a^2*c*e^5 - 30*A*c^3*d^4*e - 36*A*a*c^2*d^2*e^3 + 60*B*a*c^2*d^3*e^2 + 18*B*a^2*c*d*e^4) + (2*A*a^3*e^7)/5 - (2*B*c^3*d^7)/5 - (2*B*a^3*d*e^6)/5 + (2*A*c^3*d^6*e)/5 + (6*A*a*c^2*d^4*e^3)/5 + (6*A*a^2*c*d^2*e^5)/5 - (6*B*a*c^2*d^5*e^2)/5 - (6*B*a^2*c*d^3*e^4)/5)/(e^8*(d + e*x)^(5/2)) + ((d + e*x)^(5/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/(5*e^8) + (2*B*c^3*(d + e*x)^(9/2))/(9*e^8) + (2*c^2*(d + e*x)^(3/2)*(3*A*a*e^3 - 35*B*c*d^3 - 15*B*a*d*e^2 + 15*A*c*d^2*e))/(3*e^8) + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(7/2))/(7*e^8)","B"
1445,1,452,342,1.846531,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(9/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{3\,e^8}-\frac{\left(d+e\,x\right)\,\left(\frac{2\,B\,a^3\,e^6}{5}+\frac{18\,B\,a^2\,c\,d^2\,e^4}{5}-\frac{12\,A\,a^2\,c\,d\,e^5}{5}+6\,B\,a\,c^2\,d^4\,e^2-\frac{24\,A\,a\,c^2\,d^3\,e^3}{5}+\frac{14\,B\,c^3\,d^6}{5}-\frac{12\,A\,c^3\,d^5\,e}{5}\right)+{\left(d+e\,x\right)}^3\,\left(6\,B\,a^2\,c\,e^4+60\,B\,a\,c^2\,d^2\,e^2-24\,A\,a\,c^2\,d\,e^3+70\,B\,c^3\,d^4-40\,A\,c^3\,d^3\,e\right)-{\left(d+e\,x\right)}^2\,\left(6\,B\,a^2\,c\,d\,e^4-2\,A\,a^2\,c\,e^5+20\,B\,a\,c^2\,d^3\,e^2-12\,A\,a\,c^2\,d^2\,e^3+14\,B\,c^3\,d^5-10\,A\,c^3\,d^4\,e\right)+\frac{2\,A\,a^3\,e^7}{7}-\frac{2\,B\,c^3\,d^7}{7}-\frac{2\,B\,a^3\,d\,e^6}{7}+\frac{2\,A\,c^3\,d^6\,e}{7}+\frac{6\,A\,a\,c^2\,d^4\,e^3}{7}+\frac{6\,A\,a^2\,c\,d^2\,e^5}{7}-\frac{6\,B\,a\,c^2\,d^5\,e^2}{7}-\frac{6\,B\,a^2\,c\,d^3\,e^4}{7}}{e^8\,{\left(d+e\,x\right)}^{7/2}}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^8}+\frac{2\,c^2\,\sqrt{d+e\,x}\,\left(-35\,B\,c\,d^3+15\,A\,c\,d^2\,e-15\,B\,a\,d\,e^2+3\,A\,a\,e^3\right)}{e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}","Not used",1,"((d + e*x)^(3/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/(3*e^8) - ((d + e*x)*((2*B*a^3*e^6)/5 + (14*B*c^3*d^6)/5 - (12*A*c^3*d^5*e)/5 - (24*A*a*c^2*d^3*e^3)/5 + 6*B*a*c^2*d^4*e^2 + (18*B*a^2*c*d^2*e^4)/5 - (12*A*a^2*c*d*e^5)/5) + (d + e*x)^3*(70*B*c^3*d^4 + 6*B*a^2*c*e^4 - 40*A*c^3*d^3*e + 60*B*a*c^2*d^2*e^2 - 24*A*a*c^2*d*e^3) - (d + e*x)^2*(14*B*c^3*d^5 - 2*A*a^2*c*e^5 - 10*A*c^3*d^4*e - 12*A*a*c^2*d^2*e^3 + 20*B*a*c^2*d^3*e^2 + 6*B*a^2*c*d*e^4) + (2*A*a^3*e^7)/7 - (2*B*c^3*d^7)/7 - (2*B*a^3*d*e^6)/7 + (2*A*c^3*d^6*e)/7 + (6*A*a*c^2*d^4*e^3)/7 + (6*A*a^2*c*d^2*e^5)/7 - (6*B*a*c^2*d^5*e^2)/7 - (6*B*a^2*c*d^3*e^4)/7)/(e^8*(d + e*x)^(7/2)) + (2*B*c^3*(d + e*x)^(7/2))/(7*e^8) + (2*c^2*(d + e*x)^(1/2)*(3*A*a*e^3 - 35*B*c*d^3 - 15*B*a*d*e^2 + 15*A*c*d^2*e))/e^8 + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(5/2))/(5*e^8)","B"
1446,1,454,346,1.889518,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x))/(d + e*x)^(11/2),x)","\frac{{\left(d+e\,x\right)}^4\,\left(70\,B\,c^3\,d^3-30\,A\,c^3\,d^2\,e+30\,B\,a\,c^2\,d\,e^2-6\,A\,a\,c^2\,e^3\right)-\left(d+e\,x\right)\,\left(\frac{2\,B\,a^3\,e^6}{7}+\frac{18\,B\,a^2\,c\,d^2\,e^4}{7}-\frac{12\,A\,a^2\,c\,d\,e^5}{7}+\frac{30\,B\,a\,c^2\,d^4\,e^2}{7}-\frac{24\,A\,a\,c^2\,d^3\,e^3}{7}+2\,B\,c^3\,d^6-\frac{12\,A\,c^3\,d^5\,e}{7}\right)-{\left(d+e\,x\right)}^3\,\left(2\,B\,a^2\,c\,e^4+20\,B\,a\,c^2\,d^2\,e^2-8\,A\,a\,c^2\,d\,e^3+\frac{70\,B\,c^3\,d^4}{3}-\frac{40\,A\,c^3\,d^3\,e}{3}\right)+{\left(d+e\,x\right)}^2\,\left(\frac{18\,B\,a^2\,c\,d\,e^4}{5}-\frac{6\,A\,a^2\,c\,e^5}{5}+12\,B\,a\,c^2\,d^3\,e^2-\frac{36\,A\,a\,c^2\,d^2\,e^3}{5}+\frac{42\,B\,c^3\,d^5}{5}-6\,A\,c^3\,d^4\,e\right)-\frac{2\,A\,a^3\,e^7}{9}+\frac{2\,B\,c^3\,d^7}{9}+\frac{2\,B\,a^3\,d\,e^6}{9}-\frac{2\,A\,c^3\,d^6\,e}{9}-\frac{2\,A\,a\,c^2\,d^4\,e^3}{3}-\frac{2\,A\,a^2\,c\,d^2\,e^5}{3}+\frac{2\,B\,a\,c^2\,d^5\,e^2}{3}+\frac{2\,B\,a^2\,c\,d^3\,e^4}{3}}{e^8\,{\left(d+e\,x\right)}^{9/2}}+\frac{\sqrt{d+e\,x}\,\left(42\,B\,c^3\,d^2-12\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{e^8}+\frac{2\,B\,c^3\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}+\frac{2\,c^3\,\left(A\,e-7\,B\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}","Not used",1,"((d + e*x)^4*(70*B*c^3*d^3 - 6*A*a*c^2*e^3 - 30*A*c^3*d^2*e + 30*B*a*c^2*d*e^2) - (d + e*x)*((2*B*a^3*e^6)/7 + 2*B*c^3*d^6 - (12*A*c^3*d^5*e)/7 - (24*A*a*c^2*d^3*e^3)/7 + (30*B*a*c^2*d^4*e^2)/7 + (18*B*a^2*c*d^2*e^4)/7 - (12*A*a^2*c*d*e^5)/7) - (d + e*x)^3*((70*B*c^3*d^4)/3 + 2*B*a^2*c*e^4 - (40*A*c^3*d^3*e)/3 + 20*B*a*c^2*d^2*e^2 - 8*A*a*c^2*d*e^3) + (d + e*x)^2*((42*B*c^3*d^5)/5 - (6*A*a^2*c*e^5)/5 - 6*A*c^3*d^4*e - (36*A*a*c^2*d^2*e^3)/5 + 12*B*a*c^2*d^3*e^2 + (18*B*a^2*c*d*e^4)/5) - (2*A*a^3*e^7)/9 + (2*B*c^3*d^7)/9 + (2*B*a^3*d*e^6)/9 - (2*A*c^3*d^6*e)/9 - (2*A*a*c^2*d^4*e^3)/3 - (2*A*a^2*c*d^2*e^5)/3 + (2*B*a*c^2*d^5*e^2)/3 + (2*B*a^2*c*d^3*e^4)/3)/(e^8*(d + e*x)^(9/2)) + ((d + e*x)^(1/2)*(42*B*c^3*d^2 - 12*A*c^3*d*e + 6*B*a*c^2*e^2))/e^8 + (2*B*c^3*(d + e*x)^(5/2))/(5*e^8) + (2*c^3*(A*e - 7*B*d)*(d + e*x)^(3/2))/(3*e^8)","B"
1447,1,11383,237,3.126576,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a - c*x^2),x)","-\left(2\,d\,\left(\frac{2\,A\,e-2\,B\,d}{c}+\frac{4\,B\,d}{c}\right)+\frac{2\,B\,\left(a\,e^2-c\,d^2\right)}{c^2}\right)\,\sqrt{d+e\,x}-\left(\frac{2\,A\,e-2\,B\,d}{3\,c}+\frac{4\,B\,d}{3\,c}\right)\,{\left(d+e\,x\right)}^{3/2}-\frac{2\,B\,{\left(d+e\,x\right)}^{5/2}}{5\,c}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}+\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}-\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d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B^2\,a^3\,c^6\,d^3\,e^2+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}+\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}-\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}+\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}+\left(\left(\frac{8\,\left(4\,B\,a^3\,c^4\,e^6+8\,A\,a^2\,c^5\,d\,e^5-4\,B\,a\,c^6\,d^4\,e^2-8\,A\,a\,c^6\,d^3\,e^3\right)}{c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}-\frac{16\,\sqrt{d+e\,x}\,\left(A^2\,a^3\,c\,e^8+15\,A^2\,a^2\,c^2\,d^2\,e^6+15\,A^2\,a\,c^3\,d^4\,e^4+A^2\,c^4\,d^6\,e^2+12\,A\,B\,a^3\,c\,d\,e^7+40\,A\,B\,a^2\,c^2\,d^3\,e^5+12\,A\,B\,a\,c^3\,d^5\,e^3+B^2\,a^4\,e^8+15\,B^2\,a^3\,c\,d^2\,e^6+15\,B^2\,a^2\,c^2\,d^4\,e^4+B^2\,a\,c^3\,d^6\,e^2\right)}{c}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}-\frac{16\,\left(-A^3\,a^4\,c\,e^{11}+6\,A^3\,a^2\,c^3\,d^4\,e^7-8\,A^3\,a\,c^4\,d^6\,e^5+3\,A^3\,c^5\,d^8\,e^3-3\,A^2\,B\,a^4\,c\,d\,e^{10}+8\,A^2\,B\,a^3\,c^2\,d^3\,e^8-6\,A^2\,B\,a^2\,c^3\,d^5\,e^6+A^2\,B\,c^5\,d^9\,e^2+A\,B^2\,a^5\,e^{11}-6\,A\,B^2\,a^3\,c^2\,d^4\,e^7+8\,A\,B^2\,a^2\,c^3\,d^6\,e^5-3\,A\,B^2\,a\,c^4\,d^8\,e^3+3\,B^3\,a^5\,d\,e^{10}-8\,B^3\,a^4\,c\,d^3\,e^8+6\,B^3\,a^3\,c^2\,d^5\,e^6-B^3\,a\,c^4\,d^9\,e^2\right)}{c^3}}\right)\,\sqrt{\frac{B^2\,a^2\,c^7\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c^9}+A^2\,a\,c^8\,d^5+10\,A^2\,a^2\,c^7\,d^3\,e^2+10\,B^2\,a^3\,c^6\,d^3\,e^2-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c^9}+2\,A\,B\,a^4\,c^5\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c^9}-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c^9}+5\,A^2\,a^3\,c^6\,d\,e^4+5\,B^2\,a^4\,c^5\,d\,e^4+10\,A\,B\,a^2\,c^7\,d^4\,e-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c^9}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c^9}+20\,A\,B\,a^3\,c^6\,d^2\,e^3-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c^9}-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c^9}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c^9}}{4\,a^2\,c^9}}\,2{}\mathrm{i}","Not used",1,"- (2*d*((2*A*e - 2*B*d)/c + (4*B*d)/c) + (2*B*(a*e^2 - c*d^2))/c^2)*(d + e*x)^(1/2) - ((2*A*e - 2*B*d)/(3*c) + (4*B*d)/(3*c))*(d + e*x)^(3/2) - atan(((((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*1i - (((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*1i)/((((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(3*A^3*c^5*d^8*e^3 + A*B^2*a^5*e^11 - A^3*a^4*c*e^11 + 3*B^3*a^5*d*e^10 + 6*A^3*a^2*c^3*d^4*e^7 + 6*B^3*a^3*c^2*d^5*e^6 + A^2*B*c^5*d^9*e^2 - 8*A^3*a*c^4*d^6*e^5 - B^3*a*c^4*d^9*e^2 - 8*B^3*a^4*c*d^3*e^8 + 8*A*B^2*a^2*c^3*d^6*e^5 - 6*A*B^2*a^3*c^2*d^4*e^7 - 6*A^2*B*a^2*c^3*d^5*e^6 + 8*A^2*B*a^3*c^2*d^3*e^8 - 3*A^2*B*a^4*c*d*e^10 - 3*A*B^2*a*c^4*d^8*e^3))/c^3))*((B^2*a^2*c^7*d^5 + B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 + A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 + 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) + 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e + 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 + 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) + 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*2i - atan(((((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*1i - (((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*1i)/((((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) + (((8*(4*B*a^3*c^4*e^6 - 8*A*a*c^6*d^3*e^3 + 8*A*a^2*c^5*d*e^5 - 4*B*a*c^6*d^4*e^2))/c^3 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2))*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(d + e*x)^(1/2)*(B^2*a^4*e^8 + A^2*c^4*d^6*e^2 + A^2*a^3*c*e^8 + 15*A^2*a^2*c^2*d^2*e^6 + 15*B^2*a^2*c^2*d^4*e^4 + 15*A^2*a*c^3*d^4*e^4 + B^2*a*c^3*d^6*e^2 + 15*B^2*a^3*c*d^2*e^6 + 12*A*B*a^3*c*d*e^7 + 12*A*B*a*c^3*d^5*e^3 + 40*A*B*a^2*c^2*d^3*e^5))/c)*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2) - (16*(3*A^3*c^5*d^8*e^3 + A*B^2*a^5*e^11 - A^3*a^4*c*e^11 + 3*B^3*a^5*d*e^10 + 6*A^3*a^2*c^3*d^4*e^7 + 6*B^3*a^3*c^2*d^5*e^6 + A^2*B*c^5*d^9*e^2 - 8*A^3*a*c^4*d^6*e^5 - B^3*a*c^4*d^9*e^2 - 8*B^3*a^4*c*d^3*e^8 + 8*A*B^2*a^2*c^3*d^6*e^5 - 6*A*B^2*a^3*c^2*d^4*e^7 - 6*A^2*B*a^2*c^3*d^5*e^6 + 8*A^2*B*a^3*c^2*d^3*e^8 - 3*A^2*B*a^4*c*d*e^10 - 3*A*B^2*a*c^4*d^8*e^3))/c^3))*((B^2*a^2*c^7*d^5 - B^2*a^3*e^5*(a^3*c^9)^(1/2) + A^2*a*c^8*d^5 + 10*A^2*a^2*c^7*d^3*e^2 + 10*B^2*a^3*c^6*d^3*e^2 - A^2*a^2*c*e^5*(a^3*c^9)^(1/2) + 2*A*B*a^4*c^5*e^5 - 5*A^2*c^3*d^4*e*(a^3*c^9)^(1/2) - 2*A*B*c^3*d^5*(a^3*c^9)^(1/2) + 5*A^2*a^3*c^6*d*e^4 + 5*B^2*a^4*c^5*d*e^4 + 10*A*B*a^2*c^7*d^4*e - 5*B^2*a*c^2*d^4*e*(a^3*c^9)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c^9)^(1/2) + 20*A*B*a^3*c^6*d^2*e^3 - 10*B^2*a^2*c*d^2*e^3*(a^3*c^9)^(1/2) - 10*A*B*a^2*c*d*e^4*(a^3*c^9)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c^9)^(1/2))/(4*a^2*c^9))^(1/2)*2i - (2*B*(d + e*x)^(5/2))/(5*c)","B"
1448,1,7560,202,2.714555,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a - c*x^2),x)","-\left(\frac{2\,A\,e-2\,B\,d}{c}+\frac{4\,B\,d}{c}\right)\,\sqrt{d+e\,x}-\frac{2\,B\,{\left(d+e\,x\right)}^{3/2}}{3\,c}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}-\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,1{}\mathrm{i}}{\frac{16\,\left(-2\,A^3\,a^2\,c^2\,d\,e^7+4\,A^3\,a\,c^3\,d^3\,e^5-2\,A^3\,c^4\,d^5\,e^3-A^2\,B\,a^3\,c\,e^8+A^2\,B\,a^2\,c^2\,d^2\,e^6+A^2\,B\,a\,c^3\,d^4\,e^4-A^2\,B\,c^4\,d^6\,e^2+2\,A\,B^2\,a^3\,c\,d\,e^7-4\,A\,B^2\,a^2\,c^2\,d^3\,e^5+2\,A\,B^2\,a\,c^3\,d^5\,e^3+B^3\,a^4\,e^8-B^3\,a^3\,c\,d^2\,e^6-B^3\,a^2\,c^2\,d^4\,e^4+B^3\,a\,c^3\,d^6\,e^2\right)}{c^2}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}-\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}-\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,1{}\mathrm{i}}{\frac{16\,\left(-2\,A^3\,a^2\,c^2\,d\,e^7+4\,A^3\,a\,c^3\,d^3\,e^5-2\,A^3\,c^4\,d^5\,e^3-A^2\,B\,a^3\,c\,e^8+A^2\,B\,a^2\,c^2\,d^2\,e^6+A^2\,B\,a\,c^3\,d^4\,e^4-A^2\,B\,c^4\,d^6\,e^2+2\,A\,B^2\,a^3\,c\,d\,e^7-4\,A\,B^2\,a^2\,c^2\,d^3\,e^5+2\,A\,B^2\,a\,c^3\,d^5\,e^3+B^3\,a^4\,e^8-B^3\,a^3\,c\,d^2\,e^6-B^3\,a^2\,c^2\,d^4\,e^4+B^3\,a\,c^3\,d^6\,e^2\right)}{c^2}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}+\left(\left(\frac{8\,\left(4\,B\,a^2\,c^4\,d\,e^4+4\,A\,a^2\,c^4\,e^5-4\,B\,a\,c^5\,d^3\,e^2-4\,A\,a\,c^5\,d^2\,e^3\right)}{c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}-\sqrt{d+e\,x}\,\left(16\,A^2\,a^2\,c\,e^6+96\,A^2\,a\,c^2\,d^2\,e^4+16\,A^2\,c^3\,d^4\,e^2+128\,A\,B\,a^2\,c\,d\,e^5+128\,A\,B\,a\,c^2\,d^3\,e^3+16\,B^2\,a^3\,e^6+96\,B^2\,a^2\,c\,d^2\,e^4+16\,B^2\,a\,c^2\,d^4\,e^2\right)\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}}\right)\,\sqrt{\frac{B^2\,a^2\,c^5\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c^7}+A^2\,a\,c^6\,d^3+2\,A\,B\,a^3\,c^4\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c^7}-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c^7}+3\,A^2\,a^2\,c^5\,d\,e^2+3\,B^2\,a^3\,c^4\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c^7}-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c^7}+6\,A\,B\,a^2\,c^5\,d^2\,e-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c^7}}{4\,a^2\,c^7}}\,2{}\mathrm{i}","Not used",1,"- ((2*A*e - 2*B*d)/c + (4*B*d)/c)*(d + e*x)^(1/2) - atan(((((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*1i - (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) - (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*1i)/((16*(B^3*a^4*e^8 - 2*A^3*c^4*d^5*e^3 - B^3*a^2*c^2*d^4*e^4 - A^2*B*a^3*c*e^8 - A^2*B*c^4*d^6*e^2 + 4*A^3*a*c^3*d^3*e^5 - 2*A^3*a^2*c^2*d*e^7 + B^3*a*c^3*d^6*e^2 - B^3*a^3*c*d^2*e^6 - 4*A*B^2*a^2*c^2*d^3*e^5 + A^2*B*a^2*c^2*d^2*e^6 + 2*A*B^2*a^3*c*d*e^7 + 2*A*B^2*a*c^3*d^5*e^3 + A^2*B*a*c^3*d^4*e^4))/c^2 + (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) - (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)))*((B^2*a^2*c^5*d^3 + B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 + 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) + 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 + A^2*a*c*e^3*(a^3*c^7)^(1/2) + 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e + 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*2i - atan(((((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*1i - (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) - (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*1i)/((16*(B^3*a^4*e^8 - 2*A^3*c^4*d^5*e^3 - B^3*a^2*c^2*d^4*e^4 - A^2*B*a^3*c*e^8 - A^2*B*c^4*d^6*e^2 + 4*A^3*a*c^3*d^3*e^5 - 2*A^3*a^2*c^2*d*e^7 + B^3*a*c^3*d^6*e^2 - B^3*a^3*c*d^2*e^6 - 4*A*B^2*a^2*c^2*d^3*e^5 + A^2*B*a^2*c^2*d^2*e^6 + 2*A*B^2*a^3*c*d*e^7 + 2*A*B^2*a*c^3*d^5*e^3 + A^2*B*a*c^3*d^4*e^4))/c^2 + (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) + (((8*(4*A*a^2*c^4*e^5 - 4*A*a*c^5*d^2*e^3 - 4*B*a*c^5*d^3*e^2 + 4*B*a^2*c^4*d*e^4))/c^2 + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2) - (d + e*x)^(1/2)*(16*B^2*a^3*e^6 + 16*A^2*c^3*d^4*e^2 + 16*A^2*a^2*c*e^6 + 96*A^2*a*c^2*d^2*e^4 + 16*B^2*a*c^2*d^4*e^2 + 96*B^2*a^2*c*d^2*e^4 + 128*A*B*a^2*c*d*e^5 + 128*A*B*a*c^2*d^3*e^3))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)))*((B^2*a^2*c^5*d^3 - B^2*a^2*e^3*(a^3*c^7)^(1/2) + A^2*a*c^6*d^3 + 2*A*B*a^3*c^4*e^3 - 3*A^2*c^2*d^2*e*(a^3*c^7)^(1/2) - 2*A*B*c^2*d^3*(a^3*c^7)^(1/2) + 3*A^2*a^2*c^5*d*e^2 + 3*B^2*a^3*c^4*d*e^2 - A^2*a*c*e^3*(a^3*c^7)^(1/2) - 3*B^2*a*c*d^2*e*(a^3*c^7)^(1/2) + 6*A*B*a^2*c^5*d^2*e - 6*A*B*a*c*d*e^2*(a^3*c^7)^(1/2))/(4*a^2*c^7))^(1/2)*2i - (2*B*(d + e*x)^(3/2))/(3*c)","B"
1449,1,4276,179,0.435958,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a - c*x^2),x)","-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a\,c^2\,e^4\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5-\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}-\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2+\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4-\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}+\frac{32\,B^2\,a^2\,c\,e^4\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5-\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}-\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2+\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4-\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}+\frac{32\,A^2\,d\,e^3\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A\,B^2\,a^3\,e^5+16\,A^3\,a^2\,c\,e^5+\frac{16\,B^3\,a^2\,e^5\,\sqrt{a^3\,c^5}}{c^3}-16\,A^3\,a\,c^2\,d^2\,e^3+\frac{16\,A^2\,B\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,a^2\,c\,d\,e^4-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{c}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,d^2\,e^3-32\,A^2\,B\,a\,c^2\,d^3\,e^2-\frac{16\,B^3\,a\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}+\frac{32\,A\,B^2\,a\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}}-\frac{32\,B^2\,d\,e^3\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^3\,d^2\,e^3-16\,A^3\,a\,c^2\,e^5-\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,e^5-\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,c^3\,d^3\,e^2+\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}-\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c}-32\,A^2\,B\,a\,c^2\,d\,e^4+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a}+16\,A\,B^2\,a\,c^2\,d^2\,e^3}+\frac{64\,A\,B\,d^2\,e^2\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A\,B^2\,a^3\,e^5+16\,A^3\,a^2\,c\,e^5+\frac{16\,B^3\,a^2\,e^5\,\sqrt{a^3\,c^5}}{c^3}-16\,A^3\,a\,c^2\,d^2\,e^3+\frac{16\,A^2\,B\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,a^2\,c\,d\,e^4-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{c}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,d^2\,e^3-32\,A^2\,B\,a\,c^2\,d^3\,e^2-\frac{16\,B^3\,a\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}+\frac{32\,A\,B^2\,a\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}}+\frac{64\,A\,B\,a\,c^2\,d\,e^3\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}+\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}+\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}+\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5-\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}-\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2+\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4-\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}\right)\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^5}+A^2\,c\,e\,\sqrt{a^3\,c^5}+A^2\,a\,c^4\,d+B^2\,a^2\,c^3\,d+2\,A\,B\,a^2\,c^3\,e+2\,A\,B\,c\,d\,\sqrt{a^3\,c^5}}{4\,a^2\,c^5}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a\,c^2\,e^4\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5+\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}+\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2-\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4+\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}+\frac{32\,B^2\,a^2\,c\,e^4\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5+\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}+\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2-\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4+\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}-\frac{32\,A^2\,d\,e^3\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A\,B^2\,a^3\,e^5+16\,A^3\,a^2\,c\,e^5-\frac{16\,B^3\,a^2\,e^5\,\sqrt{a^3\,c^5}}{c^3}-16\,A^3\,a\,c^2\,d^2\,e^3-\frac{16\,A^2\,B\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,a^2\,c\,d\,e^4+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{c}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,d^2\,e^3-32\,A^2\,B\,a\,c^2\,d^3\,e^2+\frac{16\,B^3\,a\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-\frac{32\,A\,B^2\,a\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}}+\frac{32\,B^2\,d\,e^3\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^3\,d^2\,e^3-16\,A^3\,a\,c^2\,e^5+\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,e^5+\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,c^3\,d^3\,e^2-\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}+\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c}-32\,A^2\,B\,a\,c^2\,d\,e^4-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a}+16\,A\,B^2\,a\,c^2\,d^2\,e^3}-\frac{64\,A\,B\,d^2\,e^2\,\sqrt{a^3\,c^5}\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A\,B^2\,a^3\,e^5+16\,A^3\,a^2\,c\,e^5-\frac{16\,B^3\,a^2\,e^5\,\sqrt{a^3\,c^5}}{c^3}-16\,A^3\,a\,c^2\,d^2\,e^3-\frac{16\,A^2\,B\,a\,e^5\,\sqrt{a^3\,c^5}}{c^2}+32\,A^2\,B\,a^2\,c\,d\,e^4+\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{c}+\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c}-16\,A\,B^2\,a^2\,c\,d^2\,e^3-32\,A^2\,B\,a\,c^2\,d^3\,e^2+\frac{16\,B^3\,a\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-\frac{32\,A\,B^2\,a\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}}+\frac{64\,A\,B\,a\,c^2\,d\,e^3\,\sqrt{d+e\,x}\,\sqrt{\frac{B^2\,d}{4\,c^2}+\frac{A\,B\,e}{2\,c^2}+\frac{A^2\,d}{4\,a\,c}-\frac{A^2\,e\,\sqrt{a^3\,c^5}}{4\,a^2\,c^4}-\frac{B^2\,e\,\sqrt{a^3\,c^5}}{4\,a\,c^5}-\frac{A\,B\,d\,\sqrt{a^3\,c^5}}{2\,a^2\,c^4}}}{16\,A^3\,c^2\,d^2\,e^3-16\,A^3\,a\,c\,e^5-16\,A\,B^2\,a^2\,e^5+\frac{16\,A^2\,B\,e^5\,\sqrt{a^3\,c^5}}{c^2}+\frac{16\,B^3\,a\,e^5\,\sqrt{a^3\,c^5}}{c^3}+32\,A^2\,B\,c^2\,d^3\,e^2-\frac{16\,B^3\,d^2\,e^3\,\sqrt{a^3\,c^5}}{c^2}-32\,A^2\,B\,a\,c\,d\,e^4+\frac{32\,A\,B^2\,d\,e^4\,\sqrt{a^3\,c^5}}{c^2}+16\,A\,B^2\,a\,c\,d^2\,e^3-\frac{32\,A\,B^2\,d^3\,e^2\,\sqrt{a^3\,c^5}}{a\,c}-\frac{16\,A^2\,B\,d^2\,e^3\,\sqrt{a^3\,c^5}}{a\,c}}\right)\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^5}+A^2\,c\,e\,\sqrt{a^3\,c^5}-A^2\,a\,c^4\,d-B^2\,a^2\,c^3\,d-2\,A\,B\,a^2\,c^3\,e+2\,A\,B\,c\,d\,\sqrt{a^3\,c^5}}{4\,a^2\,c^5}}-\frac{2\,B\,\sqrt{d+e\,x}}{c}","Not used",1,"- 2*atanh((32*A^2*a*c^2*e^4*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 - (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 - (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 + (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 - (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)) + (32*B^2*a^2*c*e^4*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 - (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 - (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 + (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 - (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)) + (32*A^2*d*e^3*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A*B^2*a^3*e^5 + 16*A^3*a^2*c*e^5 + (16*B^3*a^2*e^5*(a^3*c^5)^(1/2))/c^3 - 16*A^3*a*c^2*d^2*e^3 + (16*A^2*B*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*a^2*c*d*e^4 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/c - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*d^2*e^3 - 32*A^2*B*a*c^2*d^3*e^2 - (16*B^3*a*d^2*e^3*(a^3*c^5)^(1/2))/c^2 + (32*A*B^2*a*d*e^4*(a^3*c^5)^(1/2))/c^2) - (32*B^2*d*e^3*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^3*d^2*e^3 - 16*A^3*a*c^2*e^5 - (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*e^5 - (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*c^3*d^3*e^2 + (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c - (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c - 32*A^2*B*a*c^2*d*e^4 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/a + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/a + 16*A*B^2*a*c^2*d^2*e^3) + (64*A*B*d^2*e^2*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A*B^2*a^3*e^5 + 16*A^3*a^2*c*e^5 + (16*B^3*a^2*e^5*(a^3*c^5)^(1/2))/c^3 - 16*A^3*a*c^2*d^2*e^3 + (16*A^2*B*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*a^2*c*d*e^4 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/c - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*d^2*e^3 - 32*A^2*B*a*c^2*d^3*e^2 - (16*B^3*a*d^2*e^3*(a^3*c^5)^(1/2))/c^2 + (32*A*B^2*a*d*e^4*(a^3*c^5)^(1/2))/c^2) + (64*A*B*a*c^2*d*e^3*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) + (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) + (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) + (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 - (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 - (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 + (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 - (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)))*((B^2*a*e*(a^3*c^5)^(1/2) + A^2*c*e*(a^3*c^5)^(1/2) + A^2*a*c^4*d + B^2*a^2*c^3*d + 2*A*B*a^2*c^3*e + 2*A*B*c*d*(a^3*c^5)^(1/2))/(4*a^2*c^5))^(1/2) - 2*atanh((32*A^2*a*c^2*e^4*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 + (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 + (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 - (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 + (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)) + (32*B^2*a^2*c*e^4*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 + (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 + (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 - (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 + (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)) - (32*A^2*d*e^3*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A*B^2*a^3*e^5 + 16*A^3*a^2*c*e^5 - (16*B^3*a^2*e^5*(a^3*c^5)^(1/2))/c^3 - 16*A^3*a*c^2*d^2*e^3 - (16*A^2*B*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*a^2*c*d*e^4 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/c + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*d^2*e^3 - 32*A^2*B*a*c^2*d^3*e^2 + (16*B^3*a*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - (32*A*B^2*a*d*e^4*(a^3*c^5)^(1/2))/c^2) + (32*B^2*d*e^3*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^3*d^2*e^3 - 16*A^3*a*c^2*e^5 + (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*e^5 + (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*c^3*d^3*e^2 - (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c + (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c - 32*A^2*B*a*c^2*d*e^4 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/a - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/a + 16*A*B^2*a*c^2*d^2*e^3) - (64*A*B*d^2*e^2*(a^3*c^5)^(1/2)*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A*B^2*a^3*e^5 + 16*A^3*a^2*c*e^5 - (16*B^3*a^2*e^5*(a^3*c^5)^(1/2))/c^3 - 16*A^3*a*c^2*d^2*e^3 - (16*A^2*B*a*e^5*(a^3*c^5)^(1/2))/c^2 + 32*A^2*B*a^2*c*d*e^4 + (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/c + (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/c - 16*A*B^2*a^2*c*d^2*e^3 - 32*A^2*B*a*c^2*d^3*e^2 + (16*B^3*a*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - (32*A*B^2*a*d*e^4*(a^3*c^5)^(1/2))/c^2) + (64*A*B*a*c^2*d*e^3*(d + e*x)^(1/2)*((B^2*d)/(4*c^2) + (A*B*e)/(2*c^2) + (A^2*d)/(4*a*c) - (A^2*e*(a^3*c^5)^(1/2))/(4*a^2*c^4) - (B^2*e*(a^3*c^5)^(1/2))/(4*a*c^5) - (A*B*d*(a^3*c^5)^(1/2))/(2*a^2*c^4))^(1/2))/(16*A^3*c^2*d^2*e^3 - 16*A^3*a*c*e^5 - 16*A*B^2*a^2*e^5 + (16*A^2*B*e^5*(a^3*c^5)^(1/2))/c^2 + (16*B^3*a*e^5*(a^3*c^5)^(1/2))/c^3 + 32*A^2*B*c^2*d^3*e^2 - (16*B^3*d^2*e^3*(a^3*c^5)^(1/2))/c^2 - 32*A^2*B*a*c*d*e^4 + (32*A*B^2*d*e^4*(a^3*c^5)^(1/2))/c^2 + 16*A*B^2*a*c*d^2*e^3 - (32*A*B^2*d^3*e^2*(a^3*c^5)^(1/2))/(a*c) - (16*A^2*B*d^2*e^3*(a^3*c^5)^(1/2))/(a*c)))*(-(B^2*a*e*(a^3*c^5)^(1/2) + A^2*c*e*(a^3*c^5)^(1/2) - A^2*a*c^4*d - B^2*a^2*c^3*d - 2*A*B*a^2*c^3*e + 2*A*B*c*d*(a^3*c^5)^(1/2))/(4*a^2*c^5))^(1/2) - (2*B*(d + e*x)^(1/2))/c","B"
1450,1,2065,152,3.305537,"\text{Not used}","int((A + B*x)/((a - c*x^2)*(d + e*x)^(1/2)),x)","\mathrm{atan}\left(\frac{a^2\,c^5\,d^3\,{\left(\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}\right)}^{3/2}\,\sqrt{d+e\,x}\,8{}\mathrm{i}+A^2\,a^2\,c^3\,e^2\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-B^2\,a^2\,c^3\,d^2\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}+B^2\,a^3\,c^2\,e^2\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-A^2\,a\,c^4\,d^2\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-a^3\,c^4\,d\,e^2\,{\left(\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}\right)}^{3/2}\,\sqrt{d+e\,x}\,8{}\mathrm{i}}{A^3\,c\,e^2\,\sqrt{a^3\,c^3}-B^3\,a^3\,c\,e^2-2\,A^2\,B\,a\,c^3\,d^2-B^3\,a\,d\,e\,\sqrt{a^3\,c^3}-A^2\,B\,a^2\,c^2\,e^2+A\,B^2\,a\,e^2\,\sqrt{a^3\,c^3}+2\,A\,B^2\,c\,d^2\,\sqrt{a^3\,c^3}+A^3\,a\,c^3\,d\,e+3\,A\,B^2\,a^2\,c^2\,d\,e-3\,A^2\,B\,c\,d\,e\,\sqrt{a^3\,c^3}}\right)\,\sqrt{\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}+A^2\,a\,c^3\,d+B^2\,a^2\,c^2\,d-2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^2\,c^5\,d^3\,{\left(-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}\right)}^{3/2}\,\sqrt{d+e\,x}\,8{}\mathrm{i}+A^2\,a^2\,c^3\,e^2\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-B^2\,a^2\,c^3\,d^2\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}+B^2\,a^3\,c^2\,e^2\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-A^2\,a\,c^4\,d^2\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,\sqrt{d+e\,x}\,2{}\mathrm{i}-a^3\,c^4\,d\,e^2\,{\left(-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}\right)}^{3/2}\,\sqrt{d+e\,x}\,8{}\mathrm{i}}{A^3\,c\,e^2\,\sqrt{a^3\,c^3}+B^3\,a^3\,c\,e^2+2\,A^2\,B\,a\,c^3\,d^2-B^3\,a\,d\,e\,\sqrt{a^3\,c^3}+A^2\,B\,a^2\,c^2\,e^2+A\,B^2\,a\,e^2\,\sqrt{a^3\,c^3}+2\,A\,B^2\,c\,d^2\,\sqrt{a^3\,c^3}-A^3\,a\,c^3\,d\,e-3\,A\,B^2\,a^2\,c^2\,d\,e-3\,A^2\,B\,c\,d\,e\,\sqrt{a^3\,c^3}}\right)\,\sqrt{-\frac{B^2\,a\,e\,\sqrt{a^3\,c^3}+A^2\,c\,e\,\sqrt{a^3\,c^3}-A^2\,a\,c^3\,d-B^2\,a^2\,c^2\,d+2\,A\,B\,a^2\,c^2\,e-2\,A\,B\,c\,d\,\sqrt{a^3\,c^3}}{4\,a^2\,c^4\,d^2-4\,a^3\,c^3\,e^2}}\,2{}\mathrm{i}","Not used",1,"atan((a^2*c^5*d^3*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(3/2)*(d + e*x)^(1/2)*8i + A^2*a^2*c^3*e^2*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - B^2*a^2*c^3*d^2*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i + B^2*a^3*c^2*e^2*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - A^2*a*c^4*d^2*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - a^3*c^4*d*e^2*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(3/2)*(d + e*x)^(1/2)*8i)/(A^3*c*e^2*(a^3*c^3)^(1/2) - B^3*a^3*c*e^2 - 2*A^2*B*a*c^3*d^2 - B^3*a*d*e*(a^3*c^3)^(1/2) - A^2*B*a^2*c^2*e^2 + A*B^2*a*e^2*(a^3*c^3)^(1/2) + 2*A*B^2*c*d^2*(a^3*c^3)^(1/2) + A^3*a*c^3*d*e + 3*A*B^2*a^2*c^2*d*e - 3*A^2*B*c*d*e*(a^3*c^3)^(1/2)))*((B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) + A^2*a*c^3*d + B^2*a^2*c^2*d - 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*2i - atan((a^2*c^5*d^3*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(3/2)*(d + e*x)^(1/2)*8i + A^2*a^2*c^3*e^2*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - B^2*a^2*c^3*d^2*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i + B^2*a^3*c^2*e^2*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - A^2*a*c^4*d^2*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*(d + e*x)^(1/2)*2i - a^3*c^4*d*e^2*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(3/2)*(d + e*x)^(1/2)*8i)/(A^3*c*e^2*(a^3*c^3)^(1/2) + B^3*a^3*c*e^2 + 2*A^2*B*a*c^3*d^2 - B^3*a*d*e*(a^3*c^3)^(1/2) + A^2*B*a^2*c^2*e^2 + A*B^2*a*e^2*(a^3*c^3)^(1/2) + 2*A*B^2*c*d^2*(a^3*c^3)^(1/2) - A^3*a*c^3*d*e - 3*A*B^2*a^2*c^2*d*e - 3*A^2*B*c*d*e*(a^3*c^3)^(1/2)))*(-(B^2*a*e*(a^3*c^3)^(1/2) + A^2*c*e*(a^3*c^3)^(1/2) - A^2*a*c^3*d - B^2*a^2*c^2*d + 2*A*B*a^2*c^2*e - 2*A*B*c*d*(a^3*c^3)^(1/2))/(4*a^2*c^4*d^2 - 4*a^3*c^3*e^2))^(1/2)*2i","B"
1451,1,10288,197,5.668860,"\text{Not used}","int((A + B*x)/((a - c*x^2)*(d + e*x)^(3/2)),x)","-\frac{2\,\left(A\,e-B\,d\right)}{\left(a\,e^2-c\,d^2\right)\,\sqrt{d+e\,x}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)-32\,B\,a^6\,c^3\,e^{12}+64\,A\,a\,c^8\,d^9\,e^3+64\,A\,a^5\,c^4\,d\,e^{11}-32\,B\,a\,c^8\,d^{10}\,e^2-256\,A\,a^2\,c^7\,d^7\,e^5+384\,A\,a^3\,c^6\,d^5\,e^7-256\,A\,a^4\,c^5\,d^3\,e^9+96\,B\,a^2\,c^7\,d^8\,e^4-64\,B\,a^3\,c^6\,d^6\,e^6-64\,B\,a^4\,c^5\,d^4\,e^8+96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)+32\,B\,a^6\,c^3\,e^{12}-64\,A\,a\,c^8\,d^9\,e^3-64\,A\,a^5\,c^4\,d\,e^{11}+32\,B\,a\,c^8\,d^{10}\,e^2+256\,A\,a^2\,c^7\,d^7\,e^5-384\,A\,a^3\,c^6\,d^5\,e^7+256\,A\,a^4\,c^5\,d^3\,e^9-96\,B\,a^2\,c^7\,d^8\,e^4+64\,B\,a^3\,c^6\,d^6\,e^6+64\,B\,a^4\,c^5\,d^4\,e^8-96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)-32\,B\,a^6\,c^3\,e^{12}+64\,A\,a\,c^8\,d^9\,e^3+64\,A\,a^5\,c^4\,d\,e^{11}-32\,B\,a\,c^8\,d^{10}\,e^2-256\,A\,a^2\,c^7\,d^7\,e^5+384\,A\,a^3\,c^6\,d^5\,e^7-256\,A\,a^4\,c^5\,d^3\,e^9+96\,B\,a^2\,c^7\,d^8\,e^4-64\,B\,a^3\,c^6\,d^6\,e^6-64\,B\,a^4\,c^5\,d^4\,e^8+96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}-\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)+32\,B\,a^6\,c^3\,e^{12}-64\,A\,a\,c^8\,d^9\,e^3-64\,A\,a^5\,c^4\,d\,e^{11}+32\,B\,a\,c^8\,d^{10}\,e^2+256\,A\,a^2\,c^7\,d^7\,e^5-384\,A\,a^3\,c^6\,d^5\,e^7+256\,A\,a^4\,c^5\,d^3\,e^9-96\,B\,a^2\,c^7\,d^8\,e^4+64\,B\,a^3\,c^6\,d^6\,e^6+64\,B\,a^4\,c^5\,d^4\,e^8-96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}-16\,A^3\,a^3\,c^4\,e^9+16\,A^3\,c^7\,d^6\,e^3+48\,A^3\,a^2\,c^5\,d^2\,e^7-48\,B^3\,a^2\,c^5\,d^5\,e^4+48\,B^3\,a^3\,c^4\,d^3\,e^6+16\,A\,B^2\,a^4\,c^3\,e^9-16\,A^2\,B\,c^7\,d^7\,e^2-48\,A^3\,a\,c^6\,d^4\,e^5+16\,B^3\,a\,c^6\,d^7\,e^2-16\,B^3\,a^4\,c^3\,d\,e^8+48\,A\,B^2\,a^2\,c^5\,d^4\,e^5-48\,A\,B^2\,a^3\,c^4\,d^2\,e^7-48\,A^2\,B\,a^2\,c^5\,d^3\,e^6-16\,A\,B^2\,a\,c^6\,d^6\,e^3+48\,A^2\,B\,a\,c^6\,d^5\,e^4+16\,A^2\,B\,a^3\,c^4\,d\,e^8}\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3+B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3-2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2+A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3+3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e+3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)-32\,B\,a^6\,c^3\,e^{12}+64\,A\,a\,c^8\,d^9\,e^3+64\,A\,a^5\,c^4\,d\,e^{11}-32\,B\,a\,c^8\,d^{10}\,e^2-256\,A\,a^2\,c^7\,d^7\,e^5+384\,A\,a^3\,c^6\,d^5\,e^7-256\,A\,a^4\,c^5\,d^3\,e^9+96\,B\,a^2\,c^7\,d^8\,e^4-64\,B\,a^3\,c^6\,d^6\,e^6-64\,B\,a^4\,c^5\,d^4\,e^8+96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)+32\,B\,a^6\,c^3\,e^{12}-64\,A\,a\,c^8\,d^9\,e^3-64\,A\,a^5\,c^4\,d\,e^{11}+32\,B\,a\,c^8\,d^{10}\,e^2+256\,A\,a^2\,c^7\,d^7\,e^5-384\,A\,a^3\,c^6\,d^5\,e^7+256\,A\,a^4\,c^5\,d^3\,e^9-96\,B\,a^2\,c^7\,d^8\,e^4+64\,B\,a^3\,c^6\,d^6\,e^6+64\,B\,a^4\,c^5\,d^4\,e^8-96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)-32\,B\,a^6\,c^3\,e^{12}+64\,A\,a\,c^8\,d^9\,e^3+64\,A\,a^5\,c^4\,d\,e^{11}-32\,B\,a\,c^8\,d^{10}\,e^2-256\,A\,a^2\,c^7\,d^7\,e^5+384\,A\,a^3\,c^6\,d^5\,e^7-256\,A\,a^4\,c^5\,d^3\,e^9+96\,B\,a^2\,c^7\,d^8\,e^4-64\,B\,a^3\,c^6\,d^6\,e^6-64\,B\,a^4\,c^5\,d^4\,e^8+96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}-\left(\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,\left(-64\,a^6\,c^4\,d\,e^{12}+320\,a^5\,c^5\,d^3\,e^{10}-640\,a^4\,c^6\,d^5\,e^8+640\,a^3\,c^7\,d^7\,e^6-320\,a^2\,c^8\,d^9\,e^4+64\,a\,c^9\,d^{11}\,e^2\right)+32\,B\,a^6\,c^3\,e^{12}-64\,A\,a\,c^8\,d^9\,e^3-64\,A\,a^5\,c^4\,d\,e^{11}+32\,B\,a\,c^8\,d^{10}\,e^2+256\,A\,a^2\,c^7\,d^7\,e^5-384\,A\,a^3\,c^6\,d^5\,e^7+256\,A\,a^4\,c^5\,d^3\,e^9-96\,B\,a^2\,c^7\,d^8\,e^4+64\,B\,a^3\,c^6\,d^6\,e^6+64\,B\,a^4\,c^5\,d^4\,e^8-96\,B\,a^5\,c^4\,d^2\,e^{10}\right)+\sqrt{d+e\,x}\,\left(16\,A^2\,a^4\,c^4\,e^{10}-32\,A^2\,a^3\,c^5\,d^2\,e^8+32\,A^2\,a\,c^7\,d^6\,e^4-16\,A^2\,c^8\,d^8\,e^2-64\,A\,B\,a^4\,c^4\,d\,e^9+192\,A\,B\,a^3\,c^5\,d^3\,e^7-192\,A\,B\,a^2\,c^6\,d^5\,e^5+64\,A\,B\,a\,c^7\,d^7\,e^3+16\,B^2\,a^5\,c^3\,e^{10}-32\,B^2\,a^4\,c^4\,d^2\,e^8+32\,B^2\,a^2\,c^6\,d^6\,e^4-16\,B^2\,a\,c^7\,d^8\,e^2\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}-16\,A^3\,a^3\,c^4\,e^9+16\,A^3\,c^7\,d^6\,e^3+48\,A^3\,a^2\,c^5\,d^2\,e^7-48\,B^3\,a^2\,c^5\,d^5\,e^4+48\,B^3\,a^3\,c^4\,d^3\,e^6+16\,A\,B^2\,a^4\,c^3\,e^9-16\,A^2\,B\,c^7\,d^7\,e^2-48\,A^3\,a\,c^6\,d^4\,e^5+16\,B^3\,a\,c^6\,d^7\,e^2-16\,B^3\,a^4\,c^3\,d\,e^8+48\,A\,B^2\,a^2\,c^5\,d^4\,e^5-48\,A\,B^2\,a^3\,c^4\,d^2\,e^7-48\,A^2\,B\,a^2\,c^5\,d^3\,e^6-16\,A\,B^2\,a\,c^6\,d^6\,e^3+48\,A^2\,B\,a\,c^6\,d^5\,e^4+16\,A^2\,B\,a^3\,c^4\,d\,e^8}\right)\,\sqrt{-\frac{B^2\,a^2\,c^2\,d^3-B^2\,a^2\,e^3\,\sqrt{a^3\,c}+A^2\,a\,c^3\,d^3+2\,A\,B\,c^2\,d^3\,\sqrt{a^3\,c}+3\,B^2\,a^3\,c\,d\,e^2-A^2\,a\,c\,e^3\,\sqrt{a^3\,c}+3\,A^2\,a^2\,c^2\,d\,e^2-2\,A\,B\,a^3\,c\,e^3-3\,A^2\,c^2\,d^2\,e\,\sqrt{a^3\,c}-6\,A\,B\,a^2\,c^2\,d^2\,e-3\,B^2\,a\,c\,d^2\,e\,\sqrt{a^3\,c}+6\,A\,B\,a\,c\,d\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^5\,c\,e^6-3\,a^4\,c^2\,d^2\,e^4+3\,a^3\,c^3\,d^4\,e^2-a^2\,c^4\,d^6\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) - 32*B*a^6*c^3*e^12 + 64*A*a*c^8*d^9*e^3 + 64*A*a^5*c^4*d*e^11 - 32*B*a*c^8*d^10*e^2 - 256*A*a^2*c^7*d^7*e^5 + 384*A*a^3*c^6*d^5*e^7 - 256*A*a^4*c^5*d^3*e^9 + 96*B*a^2*c^7*d^8*e^4 - 64*B*a^3*c^6*d^6*e^6 - 64*B*a^4*c^5*d^4*e^8 + 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*1i + ((-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) + 32*B*a^6*c^3*e^12 - 64*A*a*c^8*d^9*e^3 - 64*A*a^5*c^4*d*e^11 + 32*B*a*c^8*d^10*e^2 + 256*A*a^2*c^7*d^7*e^5 - 384*A*a^3*c^6*d^5*e^7 + 256*A*a^4*c^5*d^3*e^9 - 96*B*a^2*c^7*d^8*e^4 + 64*B*a^3*c^6*d^6*e^6 + 64*B*a^4*c^5*d^4*e^8 - 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*1i)/(((-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) - 32*B*a^6*c^3*e^12 + 64*A*a*c^8*d^9*e^3 + 64*A*a^5*c^4*d*e^11 - 32*B*a*c^8*d^10*e^2 - 256*A*a^2*c^7*d^7*e^5 + 384*A*a^3*c^6*d^5*e^7 - 256*A*a^4*c^5*d^3*e^9 + 96*B*a^2*c^7*d^8*e^4 - 64*B*a^3*c^6*d^6*e^6 - 64*B*a^4*c^5*d^4*e^8 + 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2) - ((-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) + 32*B*a^6*c^3*e^12 - 64*A*a*c^8*d^9*e^3 - 64*A*a^5*c^4*d*e^11 + 32*B*a*c^8*d^10*e^2 + 256*A*a^2*c^7*d^7*e^5 - 384*A*a^3*c^6*d^5*e^7 + 256*A*a^4*c^5*d^3*e^9 - 96*B*a^2*c^7*d^8*e^4 + 64*B*a^3*c^6*d^6*e^6 + 64*B*a^4*c^5*d^4*e^8 - 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2) - 16*A^3*a^3*c^4*e^9 + 16*A^3*c^7*d^6*e^3 + 48*A^3*a^2*c^5*d^2*e^7 - 48*B^3*a^2*c^5*d^5*e^4 + 48*B^3*a^3*c^4*d^3*e^6 + 16*A*B^2*a^4*c^3*e^9 - 16*A^2*B*c^7*d^7*e^2 - 48*A^3*a*c^6*d^4*e^5 + 16*B^3*a*c^6*d^7*e^2 - 16*B^3*a^4*c^3*d*e^8 + 48*A*B^2*a^2*c^5*d^4*e^5 - 48*A*B^2*a^3*c^4*d^2*e^7 - 48*A^2*B*a^2*c^5*d^3*e^6 - 16*A*B^2*a*c^6*d^6*e^3 + 48*A^2*B*a*c^6*d^5*e^4 + 16*A^2*B*a^3*c^4*d*e^8))*(-(B^2*a^2*c^2*d^3 + B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 - 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 + A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 + 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e + 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) - 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*2i + atan((((-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) - 32*B*a^6*c^3*e^12 + 64*A*a*c^8*d^9*e^3 + 64*A*a^5*c^4*d*e^11 - 32*B*a*c^8*d^10*e^2 - 256*A*a^2*c^7*d^7*e^5 + 384*A*a^3*c^6*d^5*e^7 - 256*A*a^4*c^5*d^3*e^9 + 96*B*a^2*c^7*d^8*e^4 - 64*B*a^3*c^6*d^6*e^6 - 64*B*a^4*c^5*d^4*e^8 + 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*1i + ((-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) + 32*B*a^6*c^3*e^12 - 64*A*a*c^8*d^9*e^3 - 64*A*a^5*c^4*d*e^11 + 32*B*a*c^8*d^10*e^2 + 256*A*a^2*c^7*d^7*e^5 - 384*A*a^3*c^6*d^5*e^7 + 256*A*a^4*c^5*d^3*e^9 - 96*B*a^2*c^7*d^8*e^4 + 64*B*a^3*c^6*d^6*e^6 + 64*B*a^4*c^5*d^4*e^8 - 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*1i)/(((-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) - 32*B*a^6*c^3*e^12 + 64*A*a*c^8*d^9*e^3 + 64*A*a^5*c^4*d*e^11 - 32*B*a*c^8*d^10*e^2 - 256*A*a^2*c^7*d^7*e^5 + 384*A*a^3*c^6*d^5*e^7 - 256*A*a^4*c^5*d^3*e^9 + 96*B*a^2*c^7*d^8*e^4 - 64*B*a^3*c^6*d^6*e^6 - 64*B*a^4*c^5*d^4*e^8 + 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2) - ((-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*(64*a*c^9*d^11*e^2 - 64*a^6*c^4*d*e^12 - 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 - 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10) + 32*B*a^6*c^3*e^12 - 64*A*a*c^8*d^9*e^3 - 64*A*a^5*c^4*d*e^11 + 32*B*a*c^8*d^10*e^2 + 256*A*a^2*c^7*d^7*e^5 - 384*A*a^3*c^6*d^5*e^7 + 256*A*a^4*c^5*d^3*e^9 - 96*B*a^2*c^7*d^8*e^4 + 64*B*a^3*c^6*d^6*e^6 + 64*B*a^4*c^5*d^4*e^8 - 96*B*a^5*c^4*d^2*e^10) + (d + e*x)^(1/2)*(16*A^2*a^4*c^4*e^10 + 16*B^2*a^5*c^3*e^10 - 16*A^2*c^8*d^8*e^2 - 32*A^2*a^3*c^5*d^2*e^8 + 32*B^2*a^2*c^6*d^6*e^4 - 32*B^2*a^4*c^4*d^2*e^8 + 32*A^2*a*c^7*d^6*e^4 - 16*B^2*a*c^7*d^8*e^2 + 64*A*B*a*c^7*d^7*e^3 - 64*A*B*a^4*c^4*d*e^9 - 192*A*B*a^2*c^6*d^5*e^5 + 192*A*B*a^3*c^5*d^3*e^7))*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2) - 16*A^3*a^3*c^4*e^9 + 16*A^3*c^7*d^6*e^3 + 48*A^3*a^2*c^5*d^2*e^7 - 48*B^3*a^2*c^5*d^5*e^4 + 48*B^3*a^3*c^4*d^3*e^6 + 16*A*B^2*a^4*c^3*e^9 - 16*A^2*B*c^7*d^7*e^2 - 48*A^3*a*c^6*d^4*e^5 + 16*B^3*a*c^6*d^7*e^2 - 16*B^3*a^4*c^3*d*e^8 + 48*A*B^2*a^2*c^5*d^4*e^5 - 48*A*B^2*a^3*c^4*d^2*e^7 - 48*A^2*B*a^2*c^5*d^3*e^6 - 16*A*B^2*a*c^6*d^6*e^3 + 48*A^2*B*a*c^6*d^5*e^4 + 16*A^2*B*a^3*c^4*d*e^8))*(-(B^2*a^2*c^2*d^3 - B^2*a^2*e^3*(a^3*c)^(1/2) + A^2*a*c^3*d^3 + 2*A*B*c^2*d^3*(a^3*c)^(1/2) + 3*B^2*a^3*c*d*e^2 - A^2*a*c*e^3*(a^3*c)^(1/2) + 3*A^2*a^2*c^2*d*e^2 - 2*A*B*a^3*c*e^3 - 3*A^2*c^2*d^2*e*(a^3*c)^(1/2) - 6*A*B*a^2*c^2*d^2*e - 3*B^2*a*c*d^2*e*(a^3*c)^(1/2) + 6*A*B*a*c*d*e^2*(a^3*c)^(1/2))/(4*(a^5*c*e^6 - a^2*c^4*d^6 + 3*a^3*c^3*d^4*e^2 - 3*a^4*c^2*d^2*e^4)))^(1/2)*2i - (2*(A*e - B*d))/((a*e^2 - c*d^2)*(d + e*x)^(1/2))","B"
1452,1,17610,243,7.424752,"\text{Not used}","int((A + B*x)/((a - c*x^2)*(d + e*x)^(5/2)),x)","-\frac{\frac{2\,\left(A\,e-B\,d\right)}{3\,\left(a\,e^2-c\,d^2\right)}+\frac{2\,\left(d+e\,x\right)\,\left(B\,c\,d^2-2\,A\,c\,d\,e+B\,a\,e^2\right)}{{\left(a\,e^2-c\,d^2\right)}^2}}{{\left(d+e\,x\right)}^{3/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)-32\,A\,a^{10}\,c^4\,e^{21}-96\,A\,a\,c^{13}\,d^{18}\,e^3+32\,B\,a\,c^{13}\,d^{19}\,e^2+96\,B\,a^{10}\,c^4\,d\,e^{20}+736\,A\,a^2\,c^{12}\,d^{16}\,e^5-2432\,A\,a^3\,c^{11}\,d^{14}\,e^7+4480\,A\,a^4\,c^{10}\,d^{12}\,e^9-4928\,A\,a^5\,c^9\,d^{10}\,e^{11}+3136\,A\,a^6\,c^8\,d^8\,e^{13}-896\,A\,a^7\,c^7\,d^6\,e^{15}-128\,A\,a^8\,c^6\,d^4\,e^{17}+160\,A\,a^9\,c^5\,d^2\,e^{19}-160\,B\,a^2\,c^{12}\,d^{17}\,e^4+128\,B\,a^3\,c^{11}\,d^{15}\,e^6+896\,B\,a^4\,c^{10}\,d^{13}\,e^8-3136\,B\,a^5\,c^9\,d^{11}\,e^{10}+4928\,B\,a^6\,c^8\,d^9\,e^{12}-4480\,B\,a^7\,c^7\,d^7\,e^{14}+2432\,B\,a^8\,c^6\,d^5\,e^{16}-736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)+32\,A\,a^{10}\,c^4\,e^{21}+96\,A\,a\,c^{13}\,d^{18}\,e^3-32\,B\,a\,c^{13}\,d^{19}\,e^2-96\,B\,a^{10}\,c^4\,d\,e^{20}-736\,A\,a^2\,c^{12}\,d^{16}\,e^5+2432\,A\,a^3\,c^{11}\,d^{14}\,e^7-4480\,A\,a^4\,c^{10}\,d^{12}\,e^9+4928\,A\,a^5\,c^9\,d^{10}\,e^{11}-3136\,A\,a^6\,c^8\,d^8\,e^{13}+896\,A\,a^7\,c^7\,d^6\,e^{15}+128\,A\,a^8\,c^6\,d^4\,e^{17}-160\,A\,a^9\,c^5\,d^2\,e^{19}+160\,B\,a^2\,c^{12}\,d^{17}\,e^4-128\,B\,a^3\,c^{11}\,d^{15}\,e^6-896\,B\,a^4\,c^{10}\,d^{13}\,e^8+3136\,B\,a^5\,c^9\,d^{11}\,e^{10}-4928\,B\,a^6\,c^8\,d^9\,e^{12}+4480\,B\,a^7\,c^7\,d^7\,e^{14}-2432\,B\,a^8\,c^6\,d^5\,e^{16}+736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)-32\,A\,a^{10}\,c^4\,e^{21}-96\,A\,a\,c^{13}\,d^{18}\,e^3+32\,B\,a\,c^{13}\,d^{19}\,e^2+96\,B\,a^{10}\,c^4\,d\,e^{20}+736\,A\,a^2\,c^{12}\,d^{16}\,e^5-2432\,A\,a^3\,c^{11}\,d^{14}\,e^7+4480\,A\,a^4\,c^{10}\,d^{12}\,e^9-4928\,A\,a^5\,c^9\,d^{10}\,e^{11}+3136\,A\,a^6\,c^8\,d^8\,e^{13}-896\,A\,a^7\,c^7\,d^6\,e^{15}-128\,A\,a^8\,c^6\,d^4\,e^{17}+160\,A\,a^9\,c^5\,d^2\,e^{19}-160\,B\,a^2\,c^{12}\,d^{17}\,e^4+128\,B\,a^3\,c^{11}\,d^{15}\,e^6+896\,B\,a^4\,c^{10}\,d^{13}\,e^8-3136\,B\,a^5\,c^9\,d^{11}\,e^{10}+4928\,B\,a^6\,c^8\,d^9\,e^{12}-4480\,B\,a^7\,c^7\,d^7\,e^{14}+2432\,B\,a^8\,c^6\,d^5\,e^{16}-736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}-\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)+32\,A\,a^{10}\,c^4\,e^{21}+96\,A\,a\,c^{13}\,d^{18}\,e^3-32\,B\,a\,c^{13}\,d^{19}\,e^2-96\,B\,a^{10}\,c^4\,d\,e^{20}-736\,A\,a^2\,c^{12}\,d^{16}\,e^5+2432\,A\,a^3\,c^{11}\,d^{14}\,e^7-4480\,A\,a^4\,c^{10}\,d^{12}\,e^9+4928\,A\,a^5\,c^9\,d^{10}\,e^{11}-3136\,A\,a^6\,c^8\,d^8\,e^{13}+896\,A\,a^7\,c^7\,d^6\,e^{15}+128\,A\,a^8\,c^6\,d^4\,e^{17}-160\,A\,a^9\,c^5\,d^2\,e^{19}+160\,B\,a^2\,c^{12}\,d^{17}\,e^4-128\,B\,a^3\,c^{11}\,d^{15}\,e^6-896\,B\,a^4\,c^{10}\,d^{13}\,e^8+3136\,B\,a^5\,c^9\,d^{11}\,e^{10}-4928\,B\,a^6\,c^8\,d^9\,e^{12}+4480\,B\,a^7\,c^7\,d^7\,e^{14}-2432\,B\,a^8\,c^6\,d^5\,e^{16}+736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}+16\,B^3\,a^8\,c^4\,e^{16}+32\,A^3\,c^{12}\,d^{13}\,e^3+480\,A^3\,a^2\,c^{10}\,d^9\,e^7-640\,A^3\,a^3\,c^9\,d^7\,e^9+480\,A^3\,a^4\,c^8\,d^5\,e^{11}-192\,A^3\,a^5\,c^7\,d^3\,e^{13}-80\,B^3\,a^2\,c^{10}\,d^{12}\,e^4+144\,B^3\,a^3\,c^9\,d^{10}\,e^6-80\,B^3\,a^4\,c^8\,d^8\,e^8-80\,B^3\,a^5\,c^7\,d^6\,e^{10}+144\,B^3\,a^6\,c^6\,d^4\,e^{12}-80\,B^3\,a^7\,c^5\,d^2\,e^{14}-16\,A^2\,B\,a^7\,c^5\,e^{16}-16\,A^2\,B\,c^{12}\,d^{14}\,e^2-192\,A^3\,a\,c^{11}\,d^{11}\,e^5+32\,A^3\,a^6\,c^6\,d\,e^{15}+16\,B^3\,a\,c^{11}\,d^{14}\,e^2+192\,A\,B^2\,a^2\,c^{10}\,d^{11}\,e^5-480\,A\,B^2\,a^3\,c^9\,d^9\,e^7+640\,A\,B^2\,a^4\,c^8\,d^7\,e^9-480\,A\,B^2\,a^5\,c^7\,d^5\,e^{11}+192\,A\,B^2\,a^6\,c^6\,d^3\,e^{13}-144\,A^2\,B\,a^2\,c^{10}\,d^{10}\,e^6+80\,A^2\,B\,a^3\,c^9\,d^8\,e^8+80\,A^2\,B\,a^4\,c^8\,d^6\,e^{10}-144\,A^2\,B\,a^5\,c^7\,d^4\,e^{12}+80\,A^2\,B\,a^6\,c^6\,d^2\,e^{14}-32\,A\,B^2\,a\,c^{11}\,d^{13}\,e^3-32\,A\,B^2\,a^7\,c^5\,d\,e^{15}+80\,A^2\,B\,a\,c^{11}\,d^{12}\,e^4}\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5+B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2-2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4+A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5+5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}+5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}+10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e+10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3-10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}-20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)-32\,A\,a^{10}\,c^4\,e^{21}-96\,A\,a\,c^{13}\,d^{18}\,e^3+32\,B\,a\,c^{13}\,d^{19}\,e^2+96\,B\,a^{10}\,c^4\,d\,e^{20}+736\,A\,a^2\,c^{12}\,d^{16}\,e^5-2432\,A\,a^3\,c^{11}\,d^{14}\,e^7+4480\,A\,a^4\,c^{10}\,d^{12}\,e^9-4928\,A\,a^5\,c^9\,d^{10}\,e^{11}+3136\,A\,a^6\,c^8\,d^8\,e^{13}-896\,A\,a^7\,c^7\,d^6\,e^{15}-128\,A\,a^8\,c^6\,d^4\,e^{17}+160\,A\,a^9\,c^5\,d^2\,e^{19}-160\,B\,a^2\,c^{12}\,d^{17}\,e^4+128\,B\,a^3\,c^{11}\,d^{15}\,e^6+896\,B\,a^4\,c^{10}\,d^{13}\,e^8-3136\,B\,a^5\,c^9\,d^{11}\,e^{10}+4928\,B\,a^6\,c^8\,d^9\,e^{12}-4480\,B\,a^7\,c^7\,d^7\,e^{14}+2432\,B\,a^8\,c^6\,d^5\,e^{16}-736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)+32\,A\,a^{10}\,c^4\,e^{21}+96\,A\,a\,c^{13}\,d^{18}\,e^3-32\,B\,a\,c^{13}\,d^{19}\,e^2-96\,B\,a^{10}\,c^4\,d\,e^{20}-736\,A\,a^2\,c^{12}\,d^{16}\,e^5+2432\,A\,a^3\,c^{11}\,d^{14}\,e^7-4480\,A\,a^4\,c^{10}\,d^{12}\,e^9+4928\,A\,a^5\,c^9\,d^{10}\,e^{11}-3136\,A\,a^6\,c^8\,d^8\,e^{13}+896\,A\,a^7\,c^7\,d^6\,e^{15}+128\,A\,a^8\,c^6\,d^4\,e^{17}-160\,A\,a^9\,c^5\,d^2\,e^{19}+160\,B\,a^2\,c^{12}\,d^{17}\,e^4-128\,B\,a^3\,c^{11}\,d^{15}\,e^6-896\,B\,a^4\,c^{10}\,d^{13}\,e^8+3136\,B\,a^5\,c^9\,d^{11}\,e^{10}-4928\,B\,a^6\,c^8\,d^9\,e^{12}+4480\,B\,a^7\,c^7\,d^7\,e^{14}-2432\,B\,a^8\,c^6\,d^5\,e^{16}+736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)-32\,A\,a^{10}\,c^4\,e^{21}-96\,A\,a\,c^{13}\,d^{18}\,e^3+32\,B\,a\,c^{13}\,d^{19}\,e^2+96\,B\,a^{10}\,c^4\,d\,e^{20}+736\,A\,a^2\,c^{12}\,d^{16}\,e^5-2432\,A\,a^3\,c^{11}\,d^{14}\,e^7+4480\,A\,a^4\,c^{10}\,d^{12}\,e^9-4928\,A\,a^5\,c^9\,d^{10}\,e^{11}+3136\,A\,a^6\,c^8\,d^8\,e^{13}-896\,A\,a^7\,c^7\,d^6\,e^{15}-128\,A\,a^8\,c^6\,d^4\,e^{17}+160\,A\,a^9\,c^5\,d^2\,e^{19}-160\,B\,a^2\,c^{12}\,d^{17}\,e^4+128\,B\,a^3\,c^{11}\,d^{15}\,e^6+896\,B\,a^4\,c^{10}\,d^{13}\,e^8-3136\,B\,a^5\,c^9\,d^{11}\,e^{10}+4928\,B\,a^6\,c^8\,d^9\,e^{12}-4480\,B\,a^7\,c^7\,d^7\,e^{14}+2432\,B\,a^8\,c^6\,d^5\,e^{16}-736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}-\left(\sqrt{d+e\,x}\,\left(16\,A^2\,a^8\,c^5\,e^{18}-320\,A^2\,a^6\,c^7\,d^4\,e^{14}+1024\,A^2\,a^5\,c^8\,d^6\,e^{12}-1440\,A^2\,a^4\,c^9\,d^8\,e^{10}+1024\,A^2\,a^3\,c^{10}\,d^{10}\,e^8-320\,A^2\,a^2\,c^{11}\,d^{12}\,e^6+16\,A^2\,c^{13}\,d^{16}\,e^2-128\,A\,B\,a^8\,c^5\,d\,e^{17}+640\,A\,B\,a^7\,c^6\,d^3\,e^{15}-1152\,A\,B\,a^6\,c^7\,d^5\,e^{13}+640\,A\,B\,a^5\,c^8\,d^7\,e^{11}+640\,A\,B\,a^4\,c^9\,d^9\,e^9-1152\,A\,B\,a^3\,c^{10}\,d^{11}\,e^7+640\,A\,B\,a^2\,c^{11}\,d^{13}\,e^5-128\,A\,B\,a\,c^{12}\,d^{15}\,e^3+16\,B^2\,a^9\,c^4\,e^{18}-320\,B^2\,a^7\,c^6\,d^4\,e^{14}+1024\,B^2\,a^6\,c^7\,d^6\,e^{12}-1440\,B^2\,a^5\,c^8\,d^8\,e^{10}+1024\,B^2\,a^4\,c^9\,d^{10}\,e^8-320\,B^2\,a^3\,c^{10}\,d^{12}\,e^6+16\,B^2\,a\,c^{12}\,d^{16}\,e^2\right)-\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,\left(64\,a^{11}\,c^4\,d\,e^{22}-640\,a^{10}\,c^5\,d^3\,e^{20}+2880\,a^9\,c^6\,d^5\,e^{18}-7680\,a^8\,c^7\,d^7\,e^{16}+13440\,a^7\,c^8\,d^9\,e^{14}-16128\,a^6\,c^9\,d^{11}\,e^{12}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}-7680\,a^4\,c^{11}\,d^{15}\,e^8+2880\,a^3\,c^{12}\,d^{17}\,e^6-640\,a^2\,c^{13}\,d^{19}\,e^4+64\,a\,c^{14}\,d^{21}\,e^2\right)+32\,A\,a^{10}\,c^4\,e^{21}+96\,A\,a\,c^{13}\,d^{18}\,e^3-32\,B\,a\,c^{13}\,d^{19}\,e^2-96\,B\,a^{10}\,c^4\,d\,e^{20}-736\,A\,a^2\,c^{12}\,d^{16}\,e^5+2432\,A\,a^3\,c^{11}\,d^{14}\,e^7-4480\,A\,a^4\,c^{10}\,d^{12}\,e^9+4928\,A\,a^5\,c^9\,d^{10}\,e^{11}-3136\,A\,a^6\,c^8\,d^8\,e^{13}+896\,A\,a^7\,c^7\,d^6\,e^{15}+128\,A\,a^8\,c^6\,d^4\,e^{17}-160\,A\,a^9\,c^5\,d^2\,e^{19}+160\,B\,a^2\,c^{12}\,d^{17}\,e^4-128\,B\,a^3\,c^{11}\,d^{15}\,e^6-896\,B\,a^4\,c^{10}\,d^{13}\,e^8+3136\,B\,a^5\,c^9\,d^{11}\,e^{10}-4928\,B\,a^6\,c^8\,d^9\,e^{12}+4480\,B\,a^7\,c^7\,d^7\,e^{14}-2432\,B\,a^8\,c^6\,d^5\,e^{16}+736\,B\,a^9\,c^5\,d^3\,e^{18}\right)\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}+16\,B^3\,a^8\,c^4\,e^{16}+32\,A^3\,c^{12}\,d^{13}\,e^3+480\,A^3\,a^2\,c^{10}\,d^9\,e^7-640\,A^3\,a^3\,c^9\,d^7\,e^9+480\,A^3\,a^4\,c^8\,d^5\,e^{11}-192\,A^3\,a^5\,c^7\,d^3\,e^{13}-80\,B^3\,a^2\,c^{10}\,d^{12}\,e^4+144\,B^3\,a^3\,c^9\,d^{10}\,e^6-80\,B^3\,a^4\,c^8\,d^8\,e^8-80\,B^3\,a^5\,c^7\,d^6\,e^{10}+144\,B^3\,a^6\,c^6\,d^4\,e^{12}-80\,B^3\,a^7\,c^5\,d^2\,e^{14}-16\,A^2\,B\,a^7\,c^5\,e^{16}-16\,A^2\,B\,c^{12}\,d^{14}\,e^2-192\,A^3\,a\,c^{11}\,d^{11}\,e^5+32\,A^3\,a^6\,c^6\,d\,e^{15}+16\,B^3\,a\,c^{11}\,d^{14}\,e^2+192\,A\,B^2\,a^2\,c^{10}\,d^{11}\,e^5-480\,A\,B^2\,a^3\,c^9\,d^9\,e^7+640\,A\,B^2\,a^4\,c^8\,d^7\,e^9-480\,A\,B^2\,a^5\,c^7\,d^5\,e^{11}+192\,A\,B^2\,a^6\,c^6\,d^3\,e^{13}-144\,A^2\,B\,a^2\,c^{10}\,d^{10}\,e^6+80\,A^2\,B\,a^3\,c^9\,d^8\,e^8+80\,A^2\,B\,a^4\,c^8\,d^6\,e^{10}-144\,A^2\,B\,a^5\,c^7\,d^4\,e^{12}+80\,A^2\,B\,a^6\,c^6\,d^2\,e^{14}-32\,A\,B^2\,a\,c^{11}\,d^{13}\,e^3-32\,A\,B^2\,a^7\,c^5\,d\,e^{15}+80\,A^2\,B\,a\,c^{11}\,d^{12}\,e^4}\right)\,\sqrt{-\frac{B^2\,a^2\,c^3\,d^5-B^2\,a^3\,e^5\,\sqrt{a^3\,c}+A^2\,a\,c^4\,d^5+10\,A^2\,a^2\,c^3\,d^3\,e^2+10\,B^2\,a^3\,c^2\,d^3\,e^2+2\,A\,B\,c^3\,d^5\,\sqrt{a^3\,c}+5\,B^2\,a^4\,c\,d\,e^4+5\,A^2\,a^3\,c^2\,d\,e^4-A^2\,a^2\,c\,e^5\,\sqrt{a^3\,c}-2\,A\,B\,a^4\,c\,e^5-5\,A^2\,c^3\,d^4\,e\,\sqrt{a^3\,c}-5\,B^2\,a\,c^2\,d^4\,e\,\sqrt{a^3\,c}-10\,A^2\,a\,c^2\,d^2\,e^3\,\sqrt{a^3\,c}-10\,A\,B\,a^2\,c^3\,d^4\,e-10\,B^2\,a^2\,c\,d^2\,e^3\,\sqrt{a^3\,c}-20\,A\,B\,a^3\,c^2\,d^2\,e^3+10\,A\,B\,a^2\,c\,d\,e^4\,\sqrt{a^3\,c}+20\,A\,B\,a\,c^2\,d^3\,e^2\,\sqrt{a^3\,c}}{4\,\left(a^7\,e^{10}-5\,a^6\,c\,d^2\,e^8+10\,a^5\,c^2\,d^4\,e^6-10\,a^4\,c^3\,d^6\,e^4+5\,a^3\,c^4\,d^8\,e^2-a^2\,c^5\,d^{10}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) - 32*A*a^10*c^4*e^21 - 96*A*a*c^13*d^18*e^3 + 32*B*a*c^13*d^19*e^2 + 96*B*a^10*c^4*d*e^20 + 736*A*a^2*c^12*d^16*e^5 - 2432*A*a^3*c^11*d^14*e^7 + 4480*A*a^4*c^10*d^12*e^9 - 4928*A*a^5*c^9*d^10*e^11 + 3136*A*a^6*c^8*d^8*e^13 - 896*A*a^7*c^7*d^6*e^15 - 128*A*a^8*c^6*d^4*e^17 + 160*A*a^9*c^5*d^2*e^19 - 160*B*a^2*c^12*d^17*e^4 + 128*B*a^3*c^11*d^15*e^6 + 896*B*a^4*c^10*d^13*e^8 - 3136*B*a^5*c^9*d^11*e^10 + 4928*B*a^6*c^8*d^9*e^12 - 4480*B*a^7*c^7*d^7*e^14 + 2432*B*a^8*c^6*d^5*e^16 - 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*1i + ((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) + 32*A*a^10*c^4*e^21 + 96*A*a*c^13*d^18*e^3 - 32*B*a*c^13*d^19*e^2 - 96*B*a^10*c^4*d*e^20 - 736*A*a^2*c^12*d^16*e^5 + 2432*A*a^3*c^11*d^14*e^7 - 4480*A*a^4*c^10*d^12*e^9 + 4928*A*a^5*c^9*d^10*e^11 - 3136*A*a^6*c^8*d^8*e^13 + 896*A*a^7*c^7*d^6*e^15 + 128*A*a^8*c^6*d^4*e^17 - 160*A*a^9*c^5*d^2*e^19 + 160*B*a^2*c^12*d^17*e^4 - 128*B*a^3*c^11*d^15*e^6 - 896*B*a^4*c^10*d^13*e^8 + 3136*B*a^5*c^9*d^11*e^10 - 4928*B*a^6*c^8*d^9*e^12 + 4480*B*a^7*c^7*d^7*e^14 - 2432*B*a^8*c^6*d^5*e^16 + 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*1i)/(((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) - 32*A*a^10*c^4*e^21 - 96*A*a*c^13*d^18*e^3 + 32*B*a*c^13*d^19*e^2 + 96*B*a^10*c^4*d*e^20 + 736*A*a^2*c^12*d^16*e^5 - 2432*A*a^3*c^11*d^14*e^7 + 4480*A*a^4*c^10*d^12*e^9 - 4928*A*a^5*c^9*d^10*e^11 + 3136*A*a^6*c^8*d^8*e^13 - 896*A*a^7*c^7*d^6*e^15 - 128*A*a^8*c^6*d^4*e^17 + 160*A*a^9*c^5*d^2*e^19 - 160*B*a^2*c^12*d^17*e^4 + 128*B*a^3*c^11*d^15*e^6 + 896*B*a^4*c^10*d^13*e^8 - 3136*B*a^5*c^9*d^11*e^10 + 4928*B*a^6*c^8*d^9*e^12 - 4480*B*a^7*c^7*d^7*e^14 + 2432*B*a^8*c^6*d^5*e^16 - 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2) - ((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) + 32*A*a^10*c^4*e^21 + 96*A*a*c^13*d^18*e^3 - 32*B*a*c^13*d^19*e^2 - 96*B*a^10*c^4*d*e^20 - 736*A*a^2*c^12*d^16*e^5 + 2432*A*a^3*c^11*d^14*e^7 - 4480*A*a^4*c^10*d^12*e^9 + 4928*A*a^5*c^9*d^10*e^11 - 3136*A*a^6*c^8*d^8*e^13 + 896*A*a^7*c^7*d^6*e^15 + 128*A*a^8*c^6*d^4*e^17 - 160*A*a^9*c^5*d^2*e^19 + 160*B*a^2*c^12*d^17*e^4 - 128*B*a^3*c^11*d^15*e^6 - 896*B*a^4*c^10*d^13*e^8 + 3136*B*a^5*c^9*d^11*e^10 - 4928*B*a^6*c^8*d^9*e^12 + 4480*B*a^7*c^7*d^7*e^14 - 2432*B*a^8*c^6*d^5*e^16 + 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2) + 16*B^3*a^8*c^4*e^16 + 32*A^3*c^12*d^13*e^3 + 480*A^3*a^2*c^10*d^9*e^7 - 640*A^3*a^3*c^9*d^7*e^9 + 480*A^3*a^4*c^8*d^5*e^11 - 192*A^3*a^5*c^7*d^3*e^13 - 80*B^3*a^2*c^10*d^12*e^4 + 144*B^3*a^3*c^9*d^10*e^6 - 80*B^3*a^4*c^8*d^8*e^8 - 80*B^3*a^5*c^7*d^6*e^10 + 144*B^3*a^6*c^6*d^4*e^12 - 80*B^3*a^7*c^5*d^2*e^14 - 16*A^2*B*a^7*c^5*e^16 - 16*A^2*B*c^12*d^14*e^2 - 192*A^3*a*c^11*d^11*e^5 + 32*A^3*a^6*c^6*d*e^15 + 16*B^3*a*c^11*d^14*e^2 + 192*A*B^2*a^2*c^10*d^11*e^5 - 480*A*B^2*a^3*c^9*d^9*e^7 + 640*A*B^2*a^4*c^8*d^7*e^9 - 480*A*B^2*a^5*c^7*d^5*e^11 + 192*A*B^2*a^6*c^6*d^3*e^13 - 144*A^2*B*a^2*c^10*d^10*e^6 + 80*A^2*B*a^3*c^9*d^8*e^8 + 80*A^2*B*a^4*c^8*d^6*e^10 - 144*A^2*B*a^5*c^7*d^4*e^12 + 80*A^2*B*a^6*c^6*d^2*e^14 - 32*A*B^2*a*c^11*d^13*e^3 - 32*A*B^2*a^7*c^5*d*e^15 + 80*A^2*B*a*c^11*d^12*e^4))*(-(B^2*a^2*c^3*d^5 + B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 - 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 + A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 + 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) + 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) + 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e + 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 - 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) - 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*2i - atan((((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) - 32*A*a^10*c^4*e^21 - 96*A*a*c^13*d^18*e^3 + 32*B*a*c^13*d^19*e^2 + 96*B*a^10*c^4*d*e^20 + 736*A*a^2*c^12*d^16*e^5 - 2432*A*a^3*c^11*d^14*e^7 + 4480*A*a^4*c^10*d^12*e^9 - 4928*A*a^5*c^9*d^10*e^11 + 3136*A*a^6*c^8*d^8*e^13 - 896*A*a^7*c^7*d^6*e^15 - 128*A*a^8*c^6*d^4*e^17 + 160*A*a^9*c^5*d^2*e^19 - 160*B*a^2*c^12*d^17*e^4 + 128*B*a^3*c^11*d^15*e^6 + 896*B*a^4*c^10*d^13*e^8 - 3136*B*a^5*c^9*d^11*e^10 + 4928*B*a^6*c^8*d^9*e^12 - 4480*B*a^7*c^7*d^7*e^14 + 2432*B*a^8*c^6*d^5*e^16 - 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*1i + ((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) + 32*A*a^10*c^4*e^21 + 96*A*a*c^13*d^18*e^3 - 32*B*a*c^13*d^19*e^2 - 96*B*a^10*c^4*d*e^20 - 736*A*a^2*c^12*d^16*e^5 + 2432*A*a^3*c^11*d^14*e^7 - 4480*A*a^4*c^10*d^12*e^9 + 4928*A*a^5*c^9*d^10*e^11 - 3136*A*a^6*c^8*d^8*e^13 + 896*A*a^7*c^7*d^6*e^15 + 128*A*a^8*c^6*d^4*e^17 - 160*A*a^9*c^5*d^2*e^19 + 160*B*a^2*c^12*d^17*e^4 - 128*B*a^3*c^11*d^15*e^6 - 896*B*a^4*c^10*d^13*e^8 + 3136*B*a^5*c^9*d^11*e^10 - 4928*B*a^6*c^8*d^9*e^12 + 4480*B*a^7*c^7*d^7*e^14 - 2432*B*a^8*c^6*d^5*e^16 + 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*1i)/(((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) - 32*A*a^10*c^4*e^21 - 96*A*a*c^13*d^18*e^3 + 32*B*a*c^13*d^19*e^2 + 96*B*a^10*c^4*d*e^20 + 736*A*a^2*c^12*d^16*e^5 - 2432*A*a^3*c^11*d^14*e^7 + 4480*A*a^4*c^10*d^12*e^9 - 4928*A*a^5*c^9*d^10*e^11 + 3136*A*a^6*c^8*d^8*e^13 - 896*A*a^7*c^7*d^6*e^15 - 128*A*a^8*c^6*d^4*e^17 + 160*A*a^9*c^5*d^2*e^19 - 160*B*a^2*c^12*d^17*e^4 + 128*B*a^3*c^11*d^15*e^6 + 896*B*a^4*c^10*d^13*e^8 - 3136*B*a^5*c^9*d^11*e^10 + 4928*B*a^6*c^8*d^9*e^12 - 4480*B*a^7*c^7*d^7*e^14 + 2432*B*a^8*c^6*d^5*e^16 - 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2) - ((d + e*x)^(1/2)*(16*A^2*a^8*c^5*e^18 + 16*B^2*a^9*c^4*e^18 + 16*A^2*c^13*d^16*e^2 - 320*A^2*a^2*c^11*d^12*e^6 + 1024*A^2*a^3*c^10*d^10*e^8 - 1440*A^2*a^4*c^9*d^8*e^10 + 1024*A^2*a^5*c^8*d^6*e^12 - 320*A^2*a^6*c^7*d^4*e^14 - 320*B^2*a^3*c^10*d^12*e^6 + 1024*B^2*a^4*c^9*d^10*e^8 - 1440*B^2*a^5*c^8*d^8*e^10 + 1024*B^2*a^6*c^7*d^6*e^12 - 320*B^2*a^7*c^6*d^4*e^14 + 16*B^2*a*c^12*d^16*e^2 - 128*A*B*a*c^12*d^15*e^3 - 128*A*B*a^8*c^5*d*e^17 + 640*A*B*a^2*c^11*d^13*e^5 - 1152*A*B*a^3*c^10*d^11*e^7 + 640*A*B*a^4*c^9*d^9*e^9 + 640*A*B*a^5*c^8*d^7*e^11 - 1152*A*B*a^6*c^7*d^5*e^13 + 640*A*B*a^7*c^6*d^3*e^15) - (-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 + 64*a^11*c^4*d*e^22 - 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 - 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 - 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 - 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 - 640*a^10*c^5*d^3*e^20) + 32*A*a^10*c^4*e^21 + 96*A*a*c^13*d^18*e^3 - 32*B*a*c^13*d^19*e^2 - 96*B*a^10*c^4*d*e^20 - 736*A*a^2*c^12*d^16*e^5 + 2432*A*a^3*c^11*d^14*e^7 - 4480*A*a^4*c^10*d^12*e^9 + 4928*A*a^5*c^9*d^10*e^11 - 3136*A*a^6*c^8*d^8*e^13 + 896*A*a^7*c^7*d^6*e^15 + 128*A*a^8*c^6*d^4*e^17 - 160*A*a^9*c^5*d^2*e^19 + 160*B*a^2*c^12*d^17*e^4 - 128*B*a^3*c^11*d^15*e^6 - 896*B*a^4*c^10*d^13*e^8 + 3136*B*a^5*c^9*d^11*e^10 - 4928*B*a^6*c^8*d^9*e^12 + 4480*B*a^7*c^7*d^7*e^14 - 2432*B*a^8*c^6*d^5*e^16 + 736*B*a^9*c^5*d^3*e^18))*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2) + 16*B^3*a^8*c^4*e^16 + 32*A^3*c^12*d^13*e^3 + 480*A^3*a^2*c^10*d^9*e^7 - 640*A^3*a^3*c^9*d^7*e^9 + 480*A^3*a^4*c^8*d^5*e^11 - 192*A^3*a^5*c^7*d^3*e^13 - 80*B^3*a^2*c^10*d^12*e^4 + 144*B^3*a^3*c^9*d^10*e^6 - 80*B^3*a^4*c^8*d^8*e^8 - 80*B^3*a^5*c^7*d^6*e^10 + 144*B^3*a^6*c^6*d^4*e^12 - 80*B^3*a^7*c^5*d^2*e^14 - 16*A^2*B*a^7*c^5*e^16 - 16*A^2*B*c^12*d^14*e^2 - 192*A^3*a*c^11*d^11*e^5 + 32*A^3*a^6*c^6*d*e^15 + 16*B^3*a*c^11*d^14*e^2 + 192*A*B^2*a^2*c^10*d^11*e^5 - 480*A*B^2*a^3*c^9*d^9*e^7 + 640*A*B^2*a^4*c^8*d^7*e^9 - 480*A*B^2*a^5*c^7*d^5*e^11 + 192*A*B^2*a^6*c^6*d^3*e^13 - 144*A^2*B*a^2*c^10*d^10*e^6 + 80*A^2*B*a^3*c^9*d^8*e^8 + 80*A^2*B*a^4*c^8*d^6*e^10 - 144*A^2*B*a^5*c^7*d^4*e^12 + 80*A^2*B*a^6*c^6*d^2*e^14 - 32*A*B^2*a*c^11*d^13*e^3 - 32*A*B^2*a^7*c^5*d*e^15 + 80*A^2*B*a*c^11*d^12*e^4))*(-(B^2*a^2*c^3*d^5 - B^2*a^3*e^5*(a^3*c)^(1/2) + A^2*a*c^4*d^5 + 10*A^2*a^2*c^3*d^3*e^2 + 10*B^2*a^3*c^2*d^3*e^2 + 2*A*B*c^3*d^5*(a^3*c)^(1/2) + 5*B^2*a^4*c*d*e^4 + 5*A^2*a^3*c^2*d*e^4 - A^2*a^2*c*e^5*(a^3*c)^(1/2) - 2*A*B*a^4*c*e^5 - 5*A^2*c^3*d^4*e*(a^3*c)^(1/2) - 5*B^2*a*c^2*d^4*e*(a^3*c)^(1/2) - 10*A^2*a*c^2*d^2*e^3*(a^3*c)^(1/2) - 10*A*B*a^2*c^3*d^4*e - 10*B^2*a^2*c*d^2*e^3*(a^3*c)^(1/2) - 20*A*B*a^3*c^2*d^2*e^3 + 10*A*B*a^2*c*d*e^4*(a^3*c)^(1/2) + 20*A*B*a*c^2*d^3*e^2*(a^3*c)^(1/2))/(4*(a^7*e^10 - a^2*c^5*d^10 - 5*a^6*c*d^2*e^8 + 5*a^3*c^4*d^8*e^2 - 10*a^4*c^3*d^6*e^4 + 10*a^5*c^2*d^4*e^6)))^(1/2)*2i - ((2*(A*e - B*d))/(3*(a*e^2 - c*d^2)) + (2*(d + e*x)*(B*a*e^2 + B*c*d^2 - 2*A*c*d*e))/(a*e^2 - c*d^2)^2)/(d + e*x)^(3/2)","B"
1453,1,9253,269,3.019767,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a - c*x^2)^2,x)","\frac{2\,B\,e^2\,\sqrt{d+e\,x}}{c^2}-\frac{\frac{\sqrt{d+e\,x}\,\left(B\,a^2\,e^4-B\,a\,c\,d^2\,e^2+A\,a\,c\,d\,e^3-A\,c^2\,d^3\,e\right)}{2\,a}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(A\,c^2\,d^2\,e+2\,B\,a\,c\,d\,e^2+A\,a\,c\,e^3\right)}{2\,a}}{c^3\,{\left(d+e\,x\right)}^2+c^3\,d^2-a\,c^2\,e^2-2\,c^3\,d\,\left(d+e\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+10\,A^2\,a^2\,c^2\,d^2\,e^6-15\,A^2\,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+10\,A^2\,a^2\,c^2\,d^2\,e^6-15\,A^2\,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}+30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e-75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3-70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5-25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4-9\,A^2\,a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,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+10\,A^2\,a^2\,c^2\,d^2\,e^6-15\,A^2\,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+10\,A^2\,a^2\,c^2\,d^2\,e^6-15\,A^2\,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}+\left(\left(\frac{320\,B\,a^5\,c^4\,e^6-320\,B\,a^4\,c^5\,d^2\,e^4+64\,A\,a^4\,c^5\,d\,e^5-64\,A\,a^3\,c^6\,d^3\,e^3}{8\,a^3\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+10\,A^2\,a^2\,c^2\,d^2\,e^6-15\,A^2\,a\,c^3\,d^4\,e^4+4\,A^2\,c^4\,d^6\,e^2+100\,A\,B\,a^3\,c\,d\,e^7-20\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8+150\,B^2\,a^3\,c\,d^2\,e^6+25\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{a^2\,c}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}+\frac{27\,A^3\,a^4\,c\,e^{11}-75\,A^3\,a^3\,c^2\,d^2\,e^9+73\,A^3\,a^2\,c^3\,d^4\,e^7-29\,A^3\,a\,c^4\,d^6\,e^5+4\,A^3\,c^5\,d^8\,e^3+150\,A^2\,B\,a^4\,c\,d\,e^{10}-360\,A^2\,B\,a^3\,c^2\,d^3\,e^8+270\,A^2\,B\,a^2\,c^3\,d^5\,e^6-60\,A^2\,B\,a\,c^4\,d^7\,e^4-75\,A\,B^2\,a^5\,e^{11}+375\,A\,B^2\,a^4\,c\,d^2\,e^9-525\,A\,B^2\,a^3\,c^2\,d^4\,e^7+225\,A\,B^2\,a^2\,c^3\,d^6\,e^5-250\,B^3\,a^5\,d\,e^{10}+500\,B^3\,a^4\,c\,d^3\,e^8-250\,B^3\,a^3\,c^2\,d^5\,e^6}{4\,a^3\,c^3}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^8\,d^5+25\,B^2\,a^2\,e^5\,\sqrt{a^9\,c^9}-15\,A^2\,a^4\,c^7\,d^3\,e^2+25\,B^2\,a^5\,c^6\,d^3\,e^2+30\,A\,B\,a^6\,c^5\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^9}+15\,A^2\,a^5\,c^6\,d\,e^4+75\,B^2\,a^6\,c^5\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^9}-30\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^9}-20\,A\,B\,a^4\,c^7\,d^4\,e+75\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^9}+30\,A\,B\,a^5\,c^6\,d^2\,e^3+70\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^9}}{64\,a^6\,c^9}}\,2{}\mathrm{i}","Not used",1,"atan(((((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*1i - (((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*1i)/((((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + (((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + (4*A^3*c^5*d^8*e^3 - 75*A*B^2*a^5*e^11 + 27*A^3*a^4*c*e^11 - 250*B^3*a^5*d*e^10 + 73*A^3*a^2*c^3*d^4*e^7 - 75*A^3*a^3*c^2*d^2*e^9 - 250*B^3*a^3*c^2*d^5*e^6 - 29*A^3*a*c^4*d^6*e^5 + 500*B^3*a^4*c*d^3*e^8 + 225*A*B^2*a^2*c^3*d^6*e^5 - 525*A*B^2*a^3*c^2*d^4*e^7 + 270*A^2*B*a^2*c^3*d^5*e^6 - 360*A^2*B*a^3*c^2*d^3*e^8 + 150*A^2*B*a^4*c*d*e^10 + 375*A*B^2*a^4*c*d^2*e^9 - 60*A^2*B*a*c^4*d^7*e^4)/(4*a^3*c^3)))*((4*A^2*a^3*c^8*d^5 - 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) + 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e - 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 - 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*2i + atan(((((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*1i - (((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*1i)/((((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + (((320*B*a^5*c^4*e^6 + 64*A*a^4*c^5*d*e^5 - 64*A*a^3*c^6*d^3*e^3 - 320*B*a^4*c^5*d^2*e^4)/(8*a^3*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 4*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 10*A^2*a^2*c^2*d^2*e^6 + 25*B^2*a^2*c^2*d^4*e^4 - 15*A^2*a*c^3*d^4*e^4 + 150*B^2*a^3*c*d^2*e^6 + 100*A*B*a^3*c*d*e^7 - 20*A*B*a*c^3*d^5*e^3))/(a^2*c))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2) + (4*A^3*c^5*d^8*e^3 - 75*A*B^2*a^5*e^11 + 27*A^3*a^4*c*e^11 - 250*B^3*a^5*d*e^10 + 73*A^3*a^2*c^3*d^4*e^7 - 75*A^3*a^3*c^2*d^2*e^9 - 250*B^3*a^3*c^2*d^5*e^6 - 29*A^3*a*c^4*d^6*e^5 + 500*B^3*a^4*c*d^3*e^8 + 225*A*B^2*a^2*c^3*d^6*e^5 - 525*A*B^2*a^3*c^2*d^4*e^7 + 270*A^2*B*a^2*c^3*d^5*e^6 - 360*A^2*B*a^3*c^2*d^3*e^8 + 150*A^2*B*a^4*c*d*e^10 + 375*A*B^2*a^4*c*d^2*e^9 - 60*A^2*B*a*c^4*d^7*e^4)/(4*a^3*c^3)))*((4*A^2*a^3*c^8*d^5 + 25*B^2*a^2*e^5*(a^9*c^9)^(1/2) - 15*A^2*a^4*c^7*d^3*e^2 + 25*B^2*a^5*c^6*d^3*e^2 + 30*A*B*a^6*c^5*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^9)^(1/2) + 15*A^2*a^5*c^6*d*e^4 + 75*B^2*a^6*c^5*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^9)^(1/2) - 30*A*B*c^2*d^3*e^2*(a^9*c^9)^(1/2) - 20*A*B*a^4*c^7*d^4*e + 75*B^2*a*c*d^2*e^3*(a^9*c^9)^(1/2) + 30*A*B*a^5*c^6*d^2*e^3 + 70*A*B*a*c*d*e^4*(a^9*c^9)^(1/2))/(64*a^6*c^9))^(1/2)*2i - (((d + e*x)^(1/2)*(B*a^2*e^4 - A*c^2*d^3*e + A*a*c*d*e^3 - B*a*c*d^2*e^2))/(2*a) + ((d + e*x)^(3/2)*(A*a*c*e^3 + A*c^2*d^2*e + 2*B*a*c*d*e^2))/(2*a))/(c^3*(d + e*x)^2 + c^3*d^2 - a*c^2*e^2 - 2*c^3*d*(d + e*x)) + (2*B*e^2*(d + e*x)^(1/2))/c^2","B"
1454,1,5212,238,0.916329,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a - c*x^2)^2,x)","-\frac{\frac{\left(B\,a\,e^2+A\,c\,d\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{2\,a\,c}+\frac{\left(A\,a\,e^3-A\,c\,d^2\,e\right)\,\sqrt{d+e\,x}}{2\,a\,c}}{c\,{\left(d+e\,x\right)}^2-a\,e^2+c\,d^2-2\,c\,d\,\left(d+e\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,1{}\mathrm{i}-\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,1{}\mathrm{i}}{\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{A^3\,a^2\,c^2\,d\,e^7-5\,A^3\,a\,c^3\,d^3\,e^5+4\,A^3\,c^4\,d^5\,e^3-3\,A^2\,B\,a^3\,c\,e^8+27\,A^2\,B\,a^2\,c^2\,d^2\,e^6-24\,A^2\,B\,a\,c^3\,d^4\,e^4-45\,A\,B^2\,a^3\,c\,d\,e^7+45\,A\,B^2\,a^2\,c^2\,d^3\,e^5+27\,B^3\,a^4\,e^8-27\,B^3\,a^3\,c\,d^2\,e^6}{4\,a^3\,c^2}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3+9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}+A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e-6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,1{}\mathrm{i}-\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,1{}\mathrm{i}}{\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\left(\left(\frac{64\,A\,a^4\,c^4\,e^5-64\,A\,a^3\,c^5\,d^2\,e^3}{8\,a^3\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a^2\,c\,e^6-3\,A^2\,a\,c^2\,d^2\,e^4+4\,A^2\,c^3\,d^4\,e^2-12\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+9\,B^2\,a^2\,c\,d^2\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}+\frac{A^3\,a^2\,c^2\,d\,e^7-5\,A^3\,a\,c^3\,d^3\,e^5+4\,A^3\,c^4\,d^5\,e^3-3\,A^2\,B\,a^3\,c\,e^8+27\,A^2\,B\,a^2\,c^2\,d^2\,e^6-24\,A^2\,B\,a\,c^3\,d^4\,e^4-45\,A\,B^2\,a^3\,c\,d\,e^7+45\,A\,B^2\,a^2\,c^2\,d^3\,e^5+27\,B^3\,a^4\,e^8-27\,B^3\,a^3\,c\,d^2\,e^6}{4\,a^3\,c^2}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^6\,d^3-9\,B^2\,a\,e^3\,\sqrt{a^9\,c^7}-A^2\,c\,e^3\,\sqrt{a^9\,c^7}+6\,A\,B\,a^5\,c^4\,e^3-3\,A^2\,a^4\,c^5\,d\,e^2+9\,B^2\,a^5\,c^4\,d\,e^2-12\,A\,B\,a^4\,c^5\,d^2\,e+6\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^7}}{64\,a^6\,c^7}}\,2{}\mathrm{i}","Not used",1,"atan(((((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*1i - (((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*1i)/((((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + (((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + (27*B^3*a^4*e^8 + 4*A^3*c^4*d^5*e^3 - 3*A^2*B*a^3*c*e^8 - 5*A^3*a*c^3*d^3*e^5 + A^3*a^2*c^2*d*e^7 - 27*B^3*a^3*c*d^2*e^6 + 45*A*B^2*a^2*c^2*d^3*e^5 + 27*A^2*B*a^2*c^2*d^2*e^6 - 45*A*B^2*a^3*c*d*e^7 - 24*A^2*B*a*c^3*d^4*e^4)/(4*a^3*c^2)))*((4*A^2*a^3*c^6*d^3 + 9*B^2*a*e^3*(a^9*c^7)^(1/2) + A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e - 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*2i - (((B*a*e^2 + A*c*d*e)*(d + e*x)^(3/2))/(2*a*c) + ((A*a*e^3 - A*c*d^2*e)*(d + e*x)^(1/2))/(2*a*c))/(c*(d + e*x)^2 - a*e^2 + c*d^2 - 2*c*d*(d + e*x)) + atan(((((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*1i - (((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*1i)/((((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + (((64*A*a^4*c^4*e^5 - 64*A*a^3*c^5*d^2*e^3)/(8*a^3*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2))*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 4*A^2*c^3*d^4*e^2 + A^2*a^2*c*e^6 - 3*A^2*a*c^2*d^2*e^4 + 9*B^2*a^2*c*d^2*e^4 - 12*A*B*a*c^2*d^3*e^3))/a^2)*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2) + (27*B^3*a^4*e^8 + 4*A^3*c^4*d^5*e^3 - 3*A^2*B*a^3*c*e^8 - 5*A^3*a*c^3*d^3*e^5 + A^3*a^2*c^2*d*e^7 - 27*B^3*a^3*c*d^2*e^6 + 45*A*B^2*a^2*c^2*d^3*e^5 + 27*A^2*B*a^2*c^2*d^2*e^6 - 45*A*B^2*a^3*c*d*e^7 - 24*A^2*B*a*c^3*d^4*e^4)/(4*a^3*c^2)))*((4*A^2*a^3*c^6*d^3 - 9*B^2*a*e^3*(a^9*c^7)^(1/2) - A^2*c*e^3*(a^9*c^7)^(1/2) + 6*A*B*a^5*c^4*e^3 - 3*A^2*a^4*c^5*d*e^2 + 9*B^2*a^5*c^4*d*e^2 - 12*A*B*a^4*c^5*d^2*e + 6*A*B*c*d*e^2*(a^9*c^7)^(1/2))/(64*a^6*c^7))^(1/2)*2i","B"
1455,1,5062,225,4.101511,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a - c*x^2)^2,x)","-\frac{\frac{A\,e\,{\left(d+e\,x\right)}^{3/2}}{2\,a}+\frac{\left(B\,a\,e^2-A\,c\,d\,e\right)\,\sqrt{d+e\,x}}{2\,a\,c}}{c\,{\left(d+e\,x\right)}^2-a\,e^2+c\,d^2-2\,c\,d\,\left(d+e\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,1{}\mathrm{i}}{\frac{-A^3\,a\,c\,e^5+4\,A^3\,c^2\,d^2\,e^3-4\,A^2\,B\,a\,c\,d\,e^4+A\,B^2\,a^2\,e^5}{4\,a^3}+\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3+B^2\,a\,e^3\,\sqrt{a^9\,c^5}+A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e-2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,1{}\mathrm{i}}{\frac{-A^3\,a\,c\,e^5+4\,A^3\,c^2\,d^2\,e^3-4\,A^2\,B\,a\,c\,d\,e^4+A\,B^2\,a^2\,e^5}{4\,a^3}+\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}+\left(\left(\frac{64\,B\,a^4\,c^2\,e^4-64\,A\,a^3\,c^3\,d\,e^3}{8\,a^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(A^2\,a\,c^2\,e^4+4\,A^2\,c^3\,d^2\,e^2-4\,A\,B\,a\,c^2\,d\,e^3+B^2\,a^2\,c\,e^4\right)}{a^2}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^3-B^2\,a\,e^3\,\sqrt{a^9\,c^5}-A^2\,c\,e^3\,\sqrt{a^9\,c^5}+2\,A\,B\,a^5\,c^3\,e^3-3\,A^2\,a^4\,c^4\,d\,e^2+B^2\,a^5\,c^3\,d\,e^2-4\,A\,B\,a^4\,c^4\,d^2\,e+2\,A\,B\,c\,d\,e^2\,\sqrt{a^9\,c^5}}{64\,\left(a^6\,c^6\,d^2-a^7\,c^5\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*1i - (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) - ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*1i)/((4*A^3*c^2*d^2*e^3 - A^3*a*c*e^5 + A*B^2*a^2*e^5 - 4*A^2*B*a*c*d*e^4)/(4*a^3) + (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) - ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)))*((4*A^2*a^3*c^5*d^3 + B^2*a*e^3*(a^9*c^5)^(1/2) + A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e - 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*2i + atan(((((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*1i - (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) - ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*1i)/((4*A^3*c^2*d^2*e^3 - A^3*a*c*e^5 + A*B^2*a^2*e^5 - 4*A^2*B*a*c*d*e^4)/(4*a^3) + (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) + (((64*B*a^4*c^2*e^4 - 64*A*a^3*c^3*d*e^3)/(8*a^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2))*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2) - ((d + e*x)^(1/2)*(4*A^2*c^3*d^2*e^2 + A^2*a*c^2*e^4 + B^2*a^2*c*e^4 - 4*A*B*a*c^2*d*e^3))/a^2)*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)))*((4*A^2*a^3*c^5*d^3 - B^2*a*e^3*(a^9*c^5)^(1/2) - A^2*c*e^3*(a^9*c^5)^(1/2) + 2*A*B*a^5*c^3*e^3 - 3*A^2*a^4*c^4*d*e^2 + B^2*a^5*c^3*d*e^2 - 4*A*B*a^4*c^4*d^2*e + 2*A*B*c*d*e^2*(a^9*c^5)^(1/2))/(64*(a^6*c^6*d^2 - a^7*c^5*e^2)))^(1/2)*2i - ((A*e*(d + e*x)^(3/2))/(2*a) + ((B*a*e^2 - A*c*d*e)*(d + e*x)^(1/2))/(2*a*c))/(c*(d + e*x)^2 - a*e^2 + c*d^2 - 2*c*d*(d + e*x))","B"
1456,1,10862,250,6.239171,"\text{Not used}","int((A + B*x)/((a - c*x^2)^2*(d + e*x)^(1/2)),x)","-\frac{\frac{\left(B\,a\,e^2-A\,c\,d\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{2\,a\,\left(a\,e^2-c\,d^2\right)}+\frac{\sqrt{d+e\,x}\,\left(A\,c\,d^2\,e-2\,B\,a\,d\,e^2+A\,a\,e^3\right)}{2\,a\,\left(a\,e^2-c\,d^2\right)}}{c\,{\left(d+e\,x\right)}^2-a\,e^2+c\,d^2-2\,c\,d\,\left(d+e\,x\right)}+\mathrm{atan}\left(\frac{\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,1{}\mathrm{i}}{\frac{9\,A^3\,a\,c^3\,d\,e^5-4\,A^3\,c^4\,d^3\,e^3-9\,A^2\,B\,a^2\,c^2\,e^6+3\,A\,B^2\,a^2\,c^2\,d\,e^5+B^3\,a^3\,c\,e^6}{4\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5+B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5-5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4+9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}+6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e+3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3-14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,1{}\mathrm{i}}{\frac{9\,A^3\,a\,c^3\,d\,e^5-4\,A^3\,c^4\,d^3\,e^3-9\,A^2\,B\,a^2\,c^2\,e^6+3\,A\,B^2\,a^2\,c^2\,d\,e^5+B^3\,a^3\,c\,e^6}{4\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\left(\left(\frac{-128\,B\,a^5\,c^3\,d\,e^6+192\,A\,a^5\,c^3\,e^7+128\,B\,a^4\,c^4\,d^3\,e^4-256\,A\,a^4\,c^4\,d^2\,e^5+64\,A\,a^3\,c^5\,d^4\,e^3}{8\,\left(a^5\,e^4-2\,a^4\,c\,d^2\,e^2+a^3\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,\left(64\,a^5\,c^4\,d\,e^6-128\,a^4\,c^5\,d^3\,e^4+64\,a^3\,c^6\,d^5\,e^2\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c^3\,e^6-11\,A^2\,a\,c^4\,d^2\,e^4+4\,A^2\,c^5\,d^4\,e^2-8\,A\,B\,a^2\,c^3\,d\,e^5+4\,A\,B\,a\,c^4\,d^3\,e^3+B^2\,a^3\,c^2\,e^6+B^2\,a^2\,c^3\,d^2\,e^4\right)}{a^4\,e^4-2\,a^3\,c\,d^2\,e^2+a^2\,c^2\,d^4}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}}\right)\,\sqrt{\frac{4\,A^2\,a^3\,c^5\,d^5-B^2\,a^2\,e^5\,\sqrt{a^9\,c^3}-15\,A^2\,a^4\,c^4\,d^3\,e^2+B^2\,a^5\,c^3\,d^3\,e^2-6\,A\,B\,a^6\,c^2\,e^5+5\,A^2\,c^2\,d^2\,e^3\,\sqrt{a^9\,c^3}+15\,A^2\,a^5\,c^3\,d\,e^4+3\,B^2\,a^6\,c^2\,d\,e^4-9\,A^2\,a\,c\,e^5\,\sqrt{a^9\,c^3}-6\,A\,B\,c^2\,d^3\,e^2\,\sqrt{a^9\,c^3}+4\,A\,B\,a^4\,c^4\,d^4\,e-3\,B^2\,a\,c\,d^2\,e^3\,\sqrt{a^9\,c^3}-6\,A\,B\,a^5\,c^3\,d^2\,e^3+14\,A\,B\,a\,c\,d\,e^4\,\sqrt{a^9\,c^3}}{64\,\left(-a^9\,c^3\,e^6+3\,a^8\,c^4\,d^2\,e^4-3\,a^7\,c^5\,d^4\,e^2+a^6\,c^6\,d^6\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*1i - (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) - ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*1i)/((B^3*a^3*c*e^6 - 4*A^3*c^4*d^3*e^3 + 9*A^3*a*c^3*d*e^5 - 9*A^2*B*a^2*c^2*e^6 + 3*A*B^2*a^2*c^2*d*e^5)/(4*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) - ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)))*((4*A^2*a^3*c^5*d^5 + B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 - 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 + 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) + 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e + 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 - 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*2i + atan(((((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*1i - (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) - ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*1i)/((B^3*a^3*c*e^6 - 4*A^3*c^4*d^3*e^3 + 9*A^3*a*c^3*d*e^5 - 9*A^2*B*a^2*c^2*e^6 + 3*A*B^2*a^2*c^2*d*e^5)/(4*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) + ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + (((192*A*a^5*c^3*e^7 - 128*B*a^5*c^3*d*e^6 + 64*A*a^3*c^5*d^4*e^3 - 256*A*a^4*c^4*d^2*e^5 + 128*B*a^4*c^4*d^3*e^4)/(8*(a^5*e^4 + a^3*c^2*d^4 - 2*a^4*c*d^2*e^2)) - ((d + e*x)^(1/2)*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*(64*a^5*c^4*d*e^6 + 64*a^3*c^6*d^5*e^2 - 128*a^4*c^5*d^3*e^4))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(9*A^2*a^2*c^3*e^6 + B^2*a^3*c^2*e^6 + 4*A^2*c^5*d^4*e^2 + B^2*a^2*c^3*d^2*e^4 - 11*A^2*a*c^4*d^2*e^4 + 4*A*B*a*c^4*d^3*e^3 - 8*A*B*a^2*c^3*d*e^5))/(a^4*e^4 + a^2*c^2*d^4 - 2*a^3*c*d^2*e^2))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)))*((4*A^2*a^3*c^5*d^5 - B^2*a^2*e^5*(a^9*c^3)^(1/2) - 15*A^2*a^4*c^4*d^3*e^2 + B^2*a^5*c^3*d^3*e^2 - 6*A*B*a^6*c^2*e^5 + 5*A^2*c^2*d^2*e^3*(a^9*c^3)^(1/2) + 15*A^2*a^5*c^3*d*e^4 + 3*B^2*a^6*c^2*d*e^4 - 9*A^2*a*c*e^5*(a^9*c^3)^(1/2) - 6*A*B*c^2*d^3*e^2*(a^9*c^3)^(1/2) + 4*A*B*a^4*c^4*d^4*e - 3*B^2*a*c*d^2*e^3*(a^9*c^3)^(1/2) - 6*A*B*a^5*c^3*d^2*e^3 + 14*A*B*a*c*d*e^4*(a^9*c^3)^(1/2))/(64*(a^6*c^6*d^6 - a^9*c^3*e^6 - 3*a^7*c^5*d^4*e^2 + 3*a^8*c^4*d^2*e^4)))^(1/2)*2i - (((B*a*e^2 - A*c*d*e)*(d + e*x)^(3/2))/(2*a*(a*e^2 - c*d^2)) + ((d + e*x)^(1/2)*(A*a*e^3 - 2*B*a*d*e^2 + A*c*d^2*e))/(2*a*(a*e^2 - c*d^2)))/(c*(d + e*x)^2 - a*e^2 + c*d^2 - 2*c*d*(d + e*x))","B"
1457,1,19787,303,8.115867,"\text{Not used}","int((A + B*x)/((a - c*x^2)^2*(d + e*x)^(3/2)),x)","\frac{\frac{\left(d+e\,x\right)\,\left(B\,a^2\,e^4+11\,B\,a\,c\,d^2\,e^2-11\,A\,a\,c\,d\,e^3-A\,c^2\,d^3\,e\right)}{2\,a\,{\left(a\,e^2-c\,d^2\right)}^2}-\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{a\,e^2-c\,d^2}+\frac{c\,{\left(d+e\,x\right)}^2\,\left(A\,c\,d^2\,e-6\,B\,a\,d\,e^2+5\,A\,a\,e^3\right)}{2\,a\,{\left(a\,e^2-c\,d^2\right)}^2}}{\left(a\,e^2-c\,d^2\right)\,\sqrt{d+e\,x}-c\,{\left(d+e\,x\right)}^{5/2}+2\,c\,d\,{\left(d+e\,x\right)}^{3/2}}-\mathrm{atan}\left(\frac{\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)+\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(768\,B\,a^{15}\,c^3\,e^{22}-\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)-\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)+768\,B\,a^{15}\,c^3\,e^{22}-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)+\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(768\,B\,a^{15}\,c^3\,e^{22}-\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4+35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6-25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7-30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}-154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}-\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)-\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7-9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\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e-45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}-90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5+138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}+180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)+\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(768\,B\,a^{15}\,c^3\,e^{22}-\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,1{}\mathrm{i}+\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}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0\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)+\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(768\,B\,a^{15}\,c^3\,e^{22}-\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}-\left(\sqrt{d+e\,x}\,\left(800\,A^2\,a^{12}\,c^4\,e^{20}-2432\,A^2\,a^{11}\,c^5\,d^2\,e^{18}-3200\,A^2\,a^{10}\,c^6\,d^4\,e^{16}+25600\,A^2\,a^9\,c^7\,d^6\,e^{14}-51008\,A^2\,a^8\,c^8\,d^8\,e^{12}+52480\,A^2\,a^7\,c^9\,d^{10}\,e^{10}-30848\,A^2\,a^6\,c^{10}\,d^{12}\,e^8+10240\,A^2\,a^5\,c^{11}\,d^{14}\,e^6-1760\,A^2\,a^4\,c^{12}\,d^{16}\,e^4+128\,A^2\,a^3\,c^{13}\,d^{18}\,e^2-3456\,A\,B\,a^{12}\,c^4\,d\,e^{19}+19200\,A\,B\,a^{11}\,c^5\,d^3\,e^{17}-42240\,A\,B\,a^{10}\,c^6\,d^5\,e^{15}+43776\,A\,B\,a^9\,c^7\,d^7\,e^{13}-15360\,A\,B\,a^8\,c^8\,d^9\,e^{11}-9984\,A\,B\,a^7\,c^9\,d^{11}\,e^9+11520\,A\,B\,a^6\,c^{10}\,d^{13}\,e^7-3840\,A\,B\,a^5\,c^{11}\,d^{15}\,e^5+384\,A\,B\,a^4\,c^{12}\,d^{17}\,e^3+288\,B^2\,a^{13}\,c^3\,e^{20}-5760\,B^2\,a^{11}\,c^5\,d^4\,e^{16}+18432\,B^2\,a^{10}\,c^6\,d^6\,e^{14}-25920\,B^2\,a^9\,c^7\,d^8\,e^{12}+18432\,B^2\,a^8\,c^8\,d^{10}\,e^{10}-5760\,B^2\,a^7\,c^9\,d^{12}\,e^8+288\,B^2\,a^5\,c^{11}\,d^{16}\,e^4\right)-\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,\left(2048\,a^{16}\,c^4\,d\,e^{22}-20480\,a^{15}\,c^5\,d^3\,e^{20}+92160\,a^{14}\,c^6\,d^5\,e^{18}-245760\,a^{13}\,c^7\,d^7\,e^{16}+430080\,a^{12}\,c^8\,d^9\,e^{14}-516096\,a^{11}\,c^9\,d^{11}\,e^{12}+430080\,a^{10}\,c^{10}\,d^{13}\,e^{10}-245760\,a^9\,c^{11}\,d^{15}\,e^8+92160\,a^8\,c^{12}\,d^{17}\,e^6-20480\,a^7\,c^{13}\,d^{19}\,e^4+2048\,a^6\,c^{14}\,d^{21}\,e^2\right)+768\,B\,a^{15}\,c^3\,e^{22}-3328\,A\,a^{14}\,c^4\,d\,e^{21}+256\,A\,a^5\,c^{13}\,d^{19}\,e^3-5376\,A\,a^6\,c^{12}\,d^{17}\,e^5+33792\,A\,a^7\,c^{11}\,d^{15}\,e^7-107520\,A\,a^8\,c^{10}\,d^{13}\,e^9+204288\,A\,a^9\,c^9\,d^{11}\,e^{11}-247296\,A\,a^{10}\,c^8\,d^9\,e^{13}+193536\,A\,a^{11}\,c^7\,d^7\,e^{15}-95232\,A\,a^{12}\,c^6\,d^5\,e^{17}+26880\,A\,a^{13}\,c^5\,d^3\,e^{19}+2304\,B\,a^6\,c^{12}\,d^{18}\,e^4-17664\,B\,a^7\,c^{11}\,d^{16}\,e^6+58368\,B\,a^8\,c^{10}\,d^{14}\,e^8-107520\,B\,a^9\,c^9\,d^{12}\,e^{10}+118272\,B\,a^{10}\,c^8\,d^{10}\,e^{12}-75264\,B\,a^{11}\,c^7\,d^8\,e^{14}+21504\,B\,a^{12}\,c^6\,d^6\,e^{16}+3072\,B\,a^{13}\,c^5\,d^4\,e^{18}-3840\,B\,a^{14}\,c^4\,d^2\,e^{20}\right)\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}+1000\,A^3\,a^{10}\,c^4\,e^{19}-32\,A^3\,a^2\,c^{12}\,d^{16}\,e^3+232\,A^3\,a^3\,c^{11}\,d^{14}\,e^5+280\,A^3\,a^4\,c^{10}\,d^{12}\,e^7-4760\,A^3\,a^5\,c^9\,d^{10}\,e^9+13720\,A^3\,a^6\,c^8\,d^8\,e^{11}-19208\,A^3\,a^7\,c^7\,d^6\,e^{13}+14728\,A^3\,a^8\,c^6\,d^4\,e^{15}-5960\,A^3\,a^9\,c^5\,d^2\,e^{17}+432\,B^3\,a^5\,c^9\,d^{13}\,e^6-2592\,B^3\,a^6\,c^8\,d^{11}\,e^8+6480\,B^3\,a^7\,c^7\,d^9\,e^{10}-8640\,B^3\,a^8\,c^6\,d^7\,e^{12}+6480\,B^3\,a^9\,c^5\,d^5\,e^{14}-2592\,B^3\,a^{10}\,c^4\,d^3\,e^{16}-360\,A\,B^2\,a^{11}\,c^3\,e^{19}+432\,B^3\,a^{11}\,c^3\,d\,e^{18}+504\,A\,B^2\,a^4\,c^{10}\,d^{14}\,e^5-3384\,A\,B^2\,a^5\,c^9\,d^{12}\,e^7+9720\,A\,B^2\,a^6\,c^8\,d^{10}\,e^9-15480\,A\,B^2\,a^7\,c^7\,d^8\,e^{11}+14760\,A\,B^2\,a^8\,c^6\,d^6\,e^{13}-8424\,A\,B^2\,a^9\,c^5\,d^4\,e^{15}+2664\,A\,B^2\,a^{10}\,c^4\,d^2\,e^{17}+96\,A^2\,B\,a^3\,c^{11}\,d^{15}\,e^4-2256\,A^2\,B\,a^4\,c^{10}\,d^{13}\,e^6+11520\,A^2\,B\,a^5\,c^9\,d^{11}\,e^8-27120\,A^2\,B\,a^6\,c^8\,d^9\,e^{10}+35040\,A^2\,B\,a^7\,c^7\,d^7\,e^{12}-25776\,A^2\,B\,a^8\,c^6\,d^5\,e^{14}+10176\,A^2\,B\,a^9\,c^5\,d^3\,e^{16}-1680\,A^2\,B\,a^{10}\,c^4\,d\,e^{18}}\right)\,\sqrt{-\frac{4\,A^2\,a^3\,c^5\,d^7+9\,B^2\,a^3\,e^7\,\sqrt{a^9\,c}-35\,A^2\,a^4\,c^4\,d^5\,e^2+70\,A^2\,a^5\,c^3\,d^3\,e^4+9\,B^2\,a^5\,c^3\,d^5\,e^2+90\,B^2\,a^6\,c^2\,d^3\,e^4-35\,A^2\,c^3\,d^4\,e^3\,\sqrt{a^9\,c}+45\,B^2\,a^7\,c\,d\,e^6+105\,A^2\,a^6\,c^2\,d\,e^6+25\,A^2\,a^2\,c\,e^7\,\sqrt{a^9\,c}-30\,A\,B\,a^7\,c\,e^7+30\,A\,B\,c^3\,d^5\,e^2\,\sqrt{a^9\,c}+154\,A^2\,a\,c^2\,d^2\,e^5\,\sqrt{a^9\,c}+12\,A\,B\,a^4\,c^4\,d^6\,e+45\,B^2\,a\,c^2\,d^4\,e^3\,\sqrt{a^9\,c}+90\,B^2\,a^2\,c\,d^2\,e^5\,\sqrt{a^9\,c}-30\,A\,B\,a^5\,c^3\,d^4\,e^3-240\,A\,B\,a^6\,c^2\,d^2\,e^5-138\,A\,B\,a^2\,c\,d\,e^6\,\sqrt{a^9\,c}-180\,A\,B\,a\,c^2\,d^3\,e^4\,\sqrt{a^9\,c}}{64\,\left(a^{11}\,c\,e^{10}-5\,a^{10}\,c^2\,d^2\,e^8+10\,a^9\,c^3\,d^4\,e^6-10\,a^8\,c^4\,d^6\,e^4+5\,a^7\,c^5\,d^8\,e^2-a^6\,c^6\,d^{10}\right)}}\,2{}\mathrm{i}","Not used",1,"(((d + e*x)*(B*a^2*e^4 - A*c^2*d^3*e - 11*A*a*c*d*e^3 + 11*B*a*c*d^2*e^2))/(2*a*(a*e^2 - c*d^2)^2) - (2*(A*e^3 - B*d*e^2))/(a*e^2 - c*d^2) + (c*(d + e*x)^2*(5*A*a*e^3 - 6*B*a*d*e^2 + A*c*d^2*e))/(2*a*(a*e^2 - c*d^2)^2))/((a*e^2 - c*d^2)*(d + e*x)^(1/2) - c*(d + e*x)^(5/2) + 2*c*d*(d + e*x)^(3/2)) - atan((((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) + (-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(768*B*a^15*c^3*e^22 - (d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*1i + ((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) - (-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*((d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) + 768*B*a^15*c^3*e^22 - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*1i)/(((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) + (-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(768*B*a^15*c^3*e^22 - (d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) - (-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*((d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) + 768*B*a^15*c^3*e^22 - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2) + 1000*A^3*a^10*c^4*e^19 - 32*A^3*a^2*c^12*d^16*e^3 + 232*A^3*a^3*c^11*d^14*e^5 + 280*A^3*a^4*c^10*d^12*e^7 - 4760*A^3*a^5*c^9*d^10*e^9 + 13720*A^3*a^6*c^8*d^8*e^11 - 19208*A^3*a^7*c^7*d^6*e^13 + 14728*A^3*a^8*c^6*d^4*e^15 - 5960*A^3*a^9*c^5*d^2*e^17 + 432*B^3*a^5*c^9*d^13*e^6 - 2592*B^3*a^6*c^8*d^11*e^8 + 6480*B^3*a^7*c^7*d^9*e^10 - 8640*B^3*a^8*c^6*d^7*e^12 + 6480*B^3*a^9*c^5*d^5*e^14 - 2592*B^3*a^10*c^4*d^3*e^16 - 360*A*B^2*a^11*c^3*e^19 + 432*B^3*a^11*c^3*d*e^18 + 504*A*B^2*a^4*c^10*d^14*e^5 - 3384*A*B^2*a^5*c^9*d^12*e^7 + 9720*A*B^2*a^6*c^8*d^10*e^9 - 15480*A*B^2*a^7*c^7*d^8*e^11 + 14760*A*B^2*a^8*c^6*d^6*e^13 - 8424*A*B^2*a^9*c^5*d^4*e^15 + 2664*A*B^2*a^10*c^4*d^2*e^17 + 96*A^2*B*a^3*c^11*d^15*e^4 - 2256*A^2*B*a^4*c^10*d^13*e^6 + 11520*A^2*B*a^5*c^9*d^11*e^8 - 27120*A^2*B*a^6*c^8*d^9*e^10 + 35040*A^2*B*a^7*c^7*d^7*e^12 - 25776*A^2*B*a^8*c^6*d^5*e^14 + 10176*A^2*B*a^9*c^5*d^3*e^16 - 1680*A^2*B*a^10*c^4*d*e^18))*(-(4*A^2*a^3*c^5*d^7 + 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 - 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 + 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 + 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) + 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e + 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) + 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 - 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) - 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*2i - atan((((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) + (-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(768*B*a^15*c^3*e^22 - (d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*1i + ((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) - (-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*((d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) + 768*B*a^15*c^3*e^22 - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*1i)/(((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) + (-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(768*B*a^15*c^3*e^22 - (d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(800*A^2*a^12*c^4*e^20 + 288*B^2*a^13*c^3*e^20 + 128*A^2*a^3*c^13*d^18*e^2 - 1760*A^2*a^4*c^12*d^16*e^4 + 10240*A^2*a^5*c^11*d^14*e^6 - 30848*A^2*a^6*c^10*d^12*e^8 + 52480*A^2*a^7*c^9*d^10*e^10 - 51008*A^2*a^8*c^8*d^8*e^12 + 25600*A^2*a^9*c^7*d^6*e^14 - 3200*A^2*a^10*c^6*d^4*e^16 - 2432*A^2*a^11*c^5*d^2*e^18 + 288*B^2*a^5*c^11*d^16*e^4 - 5760*B^2*a^7*c^9*d^12*e^8 + 18432*B^2*a^8*c^8*d^10*e^10 - 25920*B^2*a^9*c^7*d^8*e^12 + 18432*B^2*a^10*c^6*d^6*e^14 - 5760*B^2*a^11*c^5*d^4*e^16 - 3456*A*B*a^12*c^4*d*e^19 + 384*A*B*a^4*c^12*d^17*e^3 - 3840*A*B*a^5*c^11*d^15*e^5 + 11520*A*B*a^6*c^10*d^13*e^7 - 9984*A*B*a^7*c^9*d^11*e^9 - 15360*A*B*a^8*c^8*d^9*e^11 + 43776*A*B*a^9*c^7*d^7*e^13 - 42240*A*B*a^10*c^6*d^5*e^15 + 19200*A*B*a^11*c^5*d^3*e^17) - (-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*((d + e*x)^(1/2)*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*(2048*a^16*c^4*d*e^22 + 2048*a^6*c^14*d^21*e^2 - 20480*a^7*c^13*d^19*e^4 + 92160*a^8*c^12*d^17*e^6 - 245760*a^9*c^11*d^15*e^8 + 430080*a^10*c^10*d^13*e^10 - 516096*a^11*c^9*d^11*e^12 + 430080*a^12*c^8*d^9*e^14 - 245760*a^13*c^7*d^7*e^16 + 92160*a^14*c^6*d^5*e^18 - 20480*a^15*c^5*d^3*e^20) + 768*B*a^15*c^3*e^22 - 3328*A*a^14*c^4*d*e^21 + 256*A*a^5*c^13*d^19*e^3 - 5376*A*a^6*c^12*d^17*e^5 + 33792*A*a^7*c^11*d^15*e^7 - 107520*A*a^8*c^10*d^13*e^9 + 204288*A*a^9*c^9*d^11*e^11 - 247296*A*a^10*c^8*d^9*e^13 + 193536*A*a^11*c^7*d^7*e^15 - 95232*A*a^12*c^6*d^5*e^17 + 26880*A*a^13*c^5*d^3*e^19 + 2304*B*a^6*c^12*d^18*e^4 - 17664*B*a^7*c^11*d^16*e^6 + 58368*B*a^8*c^10*d^14*e^8 - 107520*B*a^9*c^9*d^12*e^10 + 118272*B*a^10*c^8*d^10*e^12 - 75264*B*a^11*c^7*d^8*e^14 + 21504*B*a^12*c^6*d^6*e^16 + 3072*B*a^13*c^5*d^4*e^18 - 3840*B*a^14*c^4*d^2*e^20))*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2) + 1000*A^3*a^10*c^4*e^19 - 32*A^3*a^2*c^12*d^16*e^3 + 232*A^3*a^3*c^11*d^14*e^5 + 280*A^3*a^4*c^10*d^12*e^7 - 4760*A^3*a^5*c^9*d^10*e^9 + 13720*A^3*a^6*c^8*d^8*e^11 - 19208*A^3*a^7*c^7*d^6*e^13 + 14728*A^3*a^8*c^6*d^4*e^15 - 5960*A^3*a^9*c^5*d^2*e^17 + 432*B^3*a^5*c^9*d^13*e^6 - 2592*B^3*a^6*c^8*d^11*e^8 + 6480*B^3*a^7*c^7*d^9*e^10 - 8640*B^3*a^8*c^6*d^7*e^12 + 6480*B^3*a^9*c^5*d^5*e^14 - 2592*B^3*a^10*c^4*d^3*e^16 - 360*A*B^2*a^11*c^3*e^19 + 432*B^3*a^11*c^3*d*e^18 + 504*A*B^2*a^4*c^10*d^14*e^5 - 3384*A*B^2*a^5*c^9*d^12*e^7 + 9720*A*B^2*a^6*c^8*d^10*e^9 - 15480*A*B^2*a^7*c^7*d^8*e^11 + 14760*A*B^2*a^8*c^6*d^6*e^13 - 8424*A*B^2*a^9*c^5*d^4*e^15 + 2664*A*B^2*a^10*c^4*d^2*e^17 + 96*A^2*B*a^3*c^11*d^15*e^4 - 2256*A^2*B*a^4*c^10*d^13*e^6 + 11520*A^2*B*a^5*c^9*d^11*e^8 - 27120*A^2*B*a^6*c^8*d^9*e^10 + 35040*A^2*B*a^7*c^7*d^7*e^12 - 25776*A^2*B*a^8*c^6*d^5*e^14 + 10176*A^2*B*a^9*c^5*d^3*e^16 - 1680*A^2*B*a^10*c^4*d*e^18))*(-(4*A^2*a^3*c^5*d^7 - 9*B^2*a^3*e^7*(a^9*c)^(1/2) - 35*A^2*a^4*c^4*d^5*e^2 + 70*A^2*a^5*c^3*d^3*e^4 + 9*B^2*a^5*c^3*d^5*e^2 + 90*B^2*a^6*c^2*d^3*e^4 + 35*A^2*c^3*d^4*e^3*(a^9*c)^(1/2) + 45*B^2*a^7*c*d*e^6 + 105*A^2*a^6*c^2*d*e^6 - 25*A^2*a^2*c*e^7*(a^9*c)^(1/2) - 30*A*B*a^7*c*e^7 - 30*A*B*c^3*d^5*e^2*(a^9*c)^(1/2) - 154*A^2*a*c^2*d^2*e^5*(a^9*c)^(1/2) + 12*A*B*a^4*c^4*d^6*e - 45*B^2*a*c^2*d^4*e^3*(a^9*c)^(1/2) - 90*B^2*a^2*c*d^2*e^5*(a^9*c)^(1/2) - 30*A*B*a^5*c^3*d^4*e^3 - 240*A*B*a^6*c^2*d^2*e^5 + 138*A*B*a^2*c*d*e^6*(a^9*c)^(1/2) + 180*A*B*a*c^2*d^3*e^4*(a^9*c)^(1/2))/(64*(a^11*c*e^10 - a^6*c^6*d^10 + 5*a^7*c^5*d^8*e^2 - 10*a^8*c^4*d^6*e^4 + 10*a^9*c^3*d^4*e^6 - 5*a^10*c^2*d^2*e^8)))^(1/2)*2i","B"
1458,1,11687,396,3.692854,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a - c*x^2)^3,x)","-\frac{\frac{\sqrt{d+e\,x}\,\left(7\,B\,a^3\,d\,e^6+5\,A\,a^3\,e^7-14\,B\,a^2\,c\,d^3\,e^4-16\,A\,a^2\,c\,d^2\,e^5+7\,B\,a\,c^2\,d^5\,e^2+17\,A\,a\,c^2\,d^4\,e^3-6\,A\,c^3\,d^6\,e\right)}{16\,a^2\,c^2}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(7\,B\,a^3\,e^6+14\,B\,a^2\,c\,d^2\,e^4+14\,A\,a^2\,c\,d\,e^5-21\,B\,a\,c^2\,d^4\,e^2-32\,A\,a\,c^2\,d^3\,e^3+18\,A\,c^3\,d^5\,e\right)}{16\,a^2\,c^2}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(7\,B\,a^2\,d\,e^4-9\,A\,a^2\,e^5+21\,B\,a\,c\,d^3\,e^2+23\,A\,a\,c\,d^2\,e^3-18\,A\,c^2\,d^4\,e\right)}{16\,a^2\,c}-\frac{{\left(d+e\,x\right)}^{7/2}\,\left(11\,B\,a^2\,e^4+7\,B\,a\,c\,d^2\,e^2+8\,A\,a\,c\,d\,e^3-6\,A\,c^2\,d^3\,e\right)}{16\,a^2\,c}}{c^2\,{\left(d+e\,x\right)}^4+a^2\,e^4+c^2\,d^4+\left(6\,c^2\,d^2-2\,a\,c\,e^2\right)\,{\left(d+e\,x\right)}^2-\left(4\,c^2\,d^3-4\,a\,c\,d\,e^2\right)\,\left(d+e\,x\right)-4\,c^2\,d\,{\left(d+e\,x\right)}^3-2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{28672\,B\,a^7\,c^6\,d\,e^6+20480\,A\,a^7\,c^6\,e^7-28672\,B\,a^6\,c^7\,d^3\,e^4-45056\,A\,a^6\,c^7\,d^2\,e^5+24576\,A\,a^5\,c^8\,d^4\,e^3}{4096\,a^6\,c^5}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7-441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}-210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e+245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5+266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7-441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}-210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e+245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5+266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}+\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^4\,c\,e^{10}-126\,A^2\,a^3\,c^2\,d^2\,e^8+385\,A^2\,a^2\,c^3\,d^4\,e^6-420\,A^2\,a\,c^4\,d^6\,e^4+144\,A^2\,c^5\,d^8\,e^2-56\,A\,B\,a^4\,c\,d\,e^9-840\,A\,B\,a^3\,c^2\,d^3\,e^7+1120\,A\,B\,a^2\,c^3\,d^5\,e^5-336\,A\,B\,a\,c^4\,d^7\,e^3+441\,B^2\,a^5\,e^{10}+490\,B^2\,a^4\,c\,d^2\,e^8-735\,B^2\,a^3\,c^2\,d^4\,e^6+196\,B^2\,a^2\,c^3\,d^6\,e^4\right)}{64\,a^4\,c^2}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7-441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}-210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e+245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5+266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\,1{}\mathrm{i}-\left(\left(\frac{28672\,B\,a^7\,c^6\,d\,e^6+20480\,A\,a^7\,c^6\,e^7-28672\,B\,a^6\,c^7\,d^3\,e^4-45056\,A\,a^6\,c^7\,d^2\,e^5+24576\,A\,a^5\,c^8\,d^4\,e^3}{4096\,a^6\,c^5}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7-441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}-210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e+245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5+266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7-441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}-210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e+245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5+266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}-\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^4\,c\,e^{10}-126\,A^2\,a^3\,c^2\,d^2\,e^8+385\,A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096\,a^6\,c^5}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}-\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^4\,c\,e^{10}-126\,A^2\,a^3\,c^2\,d^2\,e^8+385\,A^2\,a^2\,c^3\,d^4\,e^6-420\,A^2\,a\,c^4\,d^6\,e^4+144\,A^2\,c^5\,d^8\,e^2-56\,A\,B\,a^4\,c\,d\,e^9-840\,A\,B\,a^3\,c^2\,d^3\,e^7+1120\,A\,B\,a^2\,c^3\,d^5\,e^5-336\,A\,B\,a\,c^4\,d^7\,e^3+441\,B^2\,a^5\,e^{10}+490\,B^2\,a^4\,c\,d^2\,e^8-735\,B^2\,a^3\,c^2\,d^4\,e^6+196\,B^2\,a^2\,c^3\,d^6\,e^4\right)}{64\,a^4\,c^2}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\,1{}\mathrm{i}}{\left(\left(\frac{28672\,B\,a^7\,c^6\,d\,e^6+20480\,A\,a^7\,c^6\,e^7-28672\,B\,a^6\,c^7\,d^3\,e^4-45056\,A\,a^6\,c^7\,d^2\,e^5+24576\,A\,a^5\,c^8\,d^4\,e^3}{4096\,a^6\,c^5}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}+\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^4\,c\,e^{10}-126\,A^2\,a^3\,c^2\,d^2\,e^8+385\,A^2\,a^2\,c^3\,d^4\,e^6-420\,A^2\,a\,c^4\,d^6\,e^4+144\,A^2\,c^5\,d^8\,e^2-56\,A\,B\,a^4\,c\,d\,e^9-840\,A\,B\,a^3\,c^2\,d^3\,e^7+1120\,A\,B\,a^2\,c^3\,d^5\,e^5-336\,A\,B\,a\,c^4\,d^7\,e^3+441\,B^2\,a^5\,e^{10}+490\,B^2\,a^4\,c\,d^2\,e^8-735\,B^2\,a^3\,c^2\,d^4\,e^6+196\,B^2\,a^2\,c^3\,d^6\,e^4\right)}{64\,a^4\,c^2}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}+\left(\left(\frac{28672\,B\,a^7\,c^6\,d\,e^6+20480\,A\,a^7\,c^6\,e^7-28672\,B\,a^6\,c^7\,d^3\,e^4-45056\,A\,a^6\,c^7\,d^2\,e^5+24576\,A\,a^5\,c^8\,d^4\,e^3}{4096\,a^6\,c^5}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}-\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^4\,c\,e^{10}-126\,A^2\,a^3\,c^2\,d^2\,e^8+385\,A^2\,a^2\,c^3\,d^4\,e^6-420\,A^2\,a\,c^4\,d^6\,e^4+144\,A^2\,c^5\,d^8\,e^2-56\,A\,B\,a^4\,c\,d\,e^9-840\,A\,B\,a^3\,c^2\,d^3\,e^7+1120\,A\,B\,a^2\,c^3\,d^5\,e^5-336\,A\,B\,a\,c^4\,d^7\,e^3+441\,B^2\,a^5\,e^{10}+490\,B^2\,a^4\,c\,d^2\,e^8-735\,B^2\,a^3\,c^2\,d^4\,e^6+196\,B^2\,a^2\,c^3\,d^6\,e^4\right)}{64\,a^4\,c^2}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}+\frac{200\,A^3\,a^5\,c^2\,d\,e^{13}-2182\,A^3\,a^4\,c^3\,d^3\,e^{11}+6140\,A^3\,a^3\,c^4\,d^5\,e^9-7398\,A^3\,a^2\,c^5\,d^7\,e^7+4104\,A^3\,a\,c^6\,d^9\,e^5-864\,A^3\,c^7\,d^{11}\,e^3-525\,A^2\,B\,a^6\,c\,e^{14}+10437\,A^2\,B\,a^5\,c^2\,d^2\,e^{12}-30135\,A^2\,B\,a^4\,c^3\,d^4\,e^{10}+34083\,A^2\,B\,a^3\,c^4\,d^6\,e^8-16884\,A^2\,B\,a^2\,c^5\,d^8\,e^6+3024\,A^2\,B\,a\,c^6\,d^{10}\,e^4-16464\,A\,B^2\,a^6\,c\,d\,e^{13}+48510\,A\,B^2\,a^5\,c^2\,d^3\,e^{11}-51156\,A\,B^2\,a^4\,c^3\,d^5\,e^9+22638\,A\,B^2\,a^3\,c^4\,d^7\,e^7-3528\,A\,B^2\,a^2\,c^5\,d^9\,e^5+9261\,B^3\,a^7\,e^{14}-25725\,B^3\,a^6\,c\,d^2\,e^{12}+25039\,B^3\,a^5\,c^2\,d^4\,e^{10}-9947\,B^3\,a^4\,c^3\,d^6\,e^8+1372\,B^3\,a^3\,c^4\,d^8\,e^6}{2048\,a^6\,c^5}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^{10}\,d^7+441\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^{11}}-420\,A^2\,a^6\,c^9\,d^5\,e^2+385\,A^2\,a^7\,c^8\,d^3\,e^4+196\,B^2\,a^7\,c^8\,d^5\,e^2-735\,B^2\,a^8\,c^7\,d^3\,e^4+210\,A\,B\,a^9\,c^6\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}-105\,A^2\,a^8\,c^7\,d\,e^6+735\,B^2\,a^9\,c^6\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^{11}}+210\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^{11}}-336\,A\,B\,a^6\,c^9\,d^6\,e-245\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^{11}}+1120\,A\,B\,a^7\,c^8\,d^4\,e^3-1050\,A\,B\,a^8\,c^7\,d^2\,e^5-266\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^{11}}}{4096\,a^{10}\,c^{11}}}\,2{}\mathrm{i}","Not used",1,"- atan(((((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*1i - (((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) - ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*1i)/((((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + (((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) - ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + (9261*B^3*a^7*e^14 - 864*A^3*c^7*d^11*e^3 - 7398*A^3*a^2*c^5*d^7*e^7 + 6140*A^3*a^3*c^4*d^5*e^9 - 2182*A^3*a^4*c^3*d^3*e^11 + 1372*B^3*a^3*c^4*d^8*e^6 - 9947*B^3*a^4*c^3*d^6*e^8 + 25039*B^3*a^5*c^2*d^4*e^10 - 525*A^2*B*a^6*c*e^14 + 4104*A^3*a*c^6*d^9*e^5 + 200*A^3*a^5*c^2*d*e^13 - 25725*B^3*a^6*c*d^2*e^12 - 3528*A*B^2*a^2*c^5*d^9*e^5 + 22638*A*B^2*a^3*c^4*d^7*e^7 - 51156*A*B^2*a^4*c^3*d^5*e^9 + 48510*A*B^2*a^5*c^2*d^3*e^11 - 16884*A^2*B*a^2*c^5*d^8*e^6 + 34083*A^2*B*a^3*c^4*d^6*e^8 - 30135*A^2*B*a^4*c^3*d^4*e^10 + 10437*A^2*B*a^5*c^2*d^2*e^12 - 16464*A*B^2*a^6*c*d*e^13 + 3024*A^2*B*a*c^6*d^10*e^4)/(2048*a^6*c^5)))*((144*A^2*a^5*c^10*d^7 - 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) - 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e + 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 + 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*2i - atan(((((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*1i - (((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) - ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*1i)/((((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + (((20480*A*a^7*c^6*e^7 + 28672*B*a^7*c^6*d*e^6 + 24576*A*a^5*c^8*d^4*e^3 - 45056*A*a^6*c^7*d^2*e^5 - 28672*B*a^6*c^7*d^3*e^4)/(4096*a^6*c^5) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) - ((d + e*x)^(1/2)*(441*B^2*a^5*e^10 + 144*A^2*c^5*d^8*e^2 + 25*A^2*a^4*c*e^10 + 385*A^2*a^2*c^3*d^4*e^6 - 126*A^2*a^3*c^2*d^2*e^8 + 196*B^2*a^2*c^3*d^6*e^4 - 735*B^2*a^3*c^2*d^4*e^6 - 420*A^2*a*c^4*d^6*e^4 + 490*B^2*a^4*c*d^2*e^8 - 56*A*B*a^4*c*d*e^9 - 336*A*B*a*c^4*d^7*e^3 + 1120*A*B*a^2*c^3*d^5*e^5 - 840*A*B*a^3*c^2*d^3*e^7))/(64*a^4*c^2))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2) + (9261*B^3*a^7*e^14 - 864*A^3*c^7*d^11*e^3 - 7398*A^3*a^2*c^5*d^7*e^7 + 6140*A^3*a^3*c^4*d^5*e^9 - 2182*A^3*a^4*c^3*d^3*e^11 + 1372*B^3*a^3*c^4*d^8*e^6 - 9947*B^3*a^4*c^3*d^6*e^8 + 25039*B^3*a^5*c^2*d^4*e^10 - 525*A^2*B*a^6*c*e^14 + 4104*A^3*a*c^6*d^9*e^5 + 200*A^3*a^5*c^2*d*e^13 - 25725*B^3*a^6*c*d^2*e^12 - 3528*A*B^2*a^2*c^5*d^9*e^5 + 22638*A*B^2*a^3*c^4*d^7*e^7 - 51156*A*B^2*a^4*c^3*d^5*e^9 + 48510*A*B^2*a^5*c^2*d^3*e^11 - 16884*A^2*B*a^2*c^5*d^8*e^6 + 34083*A^2*B*a^3*c^4*d^6*e^8 - 30135*A^2*B*a^4*c^3*d^4*e^10 + 10437*A^2*B*a^5*c^2*d^2*e^12 - 16464*A*B^2*a^6*c*d*e^13 + 3024*A^2*B*a*c^6*d^10*e^4)/(2048*a^6*c^5)))*((144*A^2*a^5*c^10*d^7 + 441*B^2*a^2*e^7*(a^15*c^11)^(1/2) - 420*A^2*a^6*c^9*d^5*e^2 + 385*A^2*a^7*c^8*d^3*e^4 + 196*B^2*a^7*c^8*d^5*e^2 - 735*B^2*a^8*c^7*d^3*e^4 + 210*A*B*a^9*c^6*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^11)^(1/2) - 105*A^2*a^8*c^7*d*e^6 + 735*B^2*a^9*c^6*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^11)^(1/2) + 210*A*B*c^2*d^3*e^4*(a^15*c^11)^(1/2) - 336*A*B*a^6*c^9*d^6*e - 245*B^2*a*c*d^2*e^5*(a^15*c^11)^(1/2) + 1120*A*B*a^7*c^8*d^4*e^3 - 1050*A*B*a^8*c^7*d^2*e^5 - 266*A*B*a*c*d*e^6*(a^15*c^11)^(1/2))/(4096*a^10*c^11))^(1/2)*2i - (((d + e*x)^(1/2)*(5*A*a^3*e^7 + 7*B*a^3*d*e^6 - 6*A*c^3*d^6*e + 17*A*a*c^2*d^4*e^3 - 16*A*a^2*c*d^2*e^5 + 7*B*a*c^2*d^5*e^2 - 14*B*a^2*c*d^3*e^4))/(16*a^2*c^2) + ((d + e*x)^(3/2)*(7*B*a^3*e^6 + 18*A*c^3*d^5*e - 32*A*a*c^2*d^3*e^3 - 21*B*a*c^2*d^4*e^2 + 14*B*a^2*c*d^2*e^4 + 14*A*a^2*c*d*e^5))/(16*a^2*c^2) + ((d + e*x)^(5/2)*(7*B*a^2*d*e^4 - 9*A*a^2*e^5 - 18*A*c^2*d^4*e + 23*A*a*c*d^2*e^3 + 21*B*a*c*d^3*e^2))/(16*a^2*c) - ((d + e*x)^(7/2)*(11*B*a^2*e^4 - 6*A*c^2*d^3*e + 8*A*a*c*d*e^3 + 7*B*a*c*d^2*e^2))/(16*a^2*c))/(c^2*(d + e*x)^4 + a^2*e^4 + c^2*d^4 + (6*c^2*d^2 - 2*a*c*e^2)*(d + e*x)^2 - (4*c^2*d^3 - 4*a*c*d*e^2)*(d + e*x) - 4*c^2*d*(d + e*x)^3 - 2*a*c*d^2*e^2)","B"
1459,1,7702,372,3.000639,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a - c*x^2)^3,x)","\frac{\frac{e\,{\left(d+e\,x\right)}^{7/2}\,\left(-6\,A\,c\,d^2+5\,B\,a\,d\,e+3\,A\,a\,e^2\right)}{16\,a^2}-\frac{\sqrt{d+e\,x}\,\left(5\,B\,a^3\,e^6-10\,B\,a^2\,c\,d^2\,e^4-6\,A\,a^2\,c\,d\,e^5+5\,B\,a\,c^2\,d^4\,e^2+12\,A\,a\,c^2\,d^3\,e^3-6\,A\,c^3\,d^5\,e\right)}{16\,a^2\,c^2}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(-15\,B\,a^2\,d\,e^4+A\,a^2\,e^5+15\,B\,a\,c\,d^3\,e^2+17\,A\,a\,c\,d^2\,e^3-18\,A\,c^2\,d^4\,e\right)}{16\,a^2\,c}+\frac{e\,{\left(d+e\,x\right)}^{5/2}\,\left(9\,B\,a^2\,e^3-15\,B\,a\,c\,d^2\,e-8\,A\,a\,c\,d\,e^2+18\,A\,c^2\,d^3\right)}{16\,a^2\,c}}{c^2\,{\left(d+e\,x\right)}^4+a^2\,e^4+c^2\,d^4+\left(6\,c^2\,d^2-2\,a\,c\,e^2\right)\,{\left(d+e\,x\right)}^2-\left(4\,c^2\,d^3-4\,a\,c\,d\,e^2\right)\,\left(d+e\,x\right)-4\,c^2\,d\,{\left(d+e\,x\right)}^3-2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{27\,A^3\,a^4\,c\,e^{11}-405\,A^3\,a^3\,c^2\,d^2\,e^9+1458\,A^3\,a^2\,c^3\,d^4\,e^7-1944\,A^3\,a\,c^4\,d^6\,e^5+864\,A^3\,c^5\,d^8\,e^3+405\,A^2\,B\,a^4\,c\,d\,e^{10}-2385\,A^2\,B\,a^3\,c^2\,d^3\,e^8+4140\,A^2\,B\,a^2\,c^3\,d^5\,e^6-2160\,A^2\,B\,a\,c^4\,d^7\,e^4-75\,A\,B^2\,a^5\,e^{11}+1125\,A\,B^2\,a^4\,c\,d^2\,e^9-2850\,A\,B^2\,a^3\,c^2\,d^4\,e^7+1800\,A\,B^2\,a^2\,c^3\,d^6\,e^5-125\,B^3\,a^5\,d\,e^{10}+625\,B^3\,a^4\,c\,d^3\,e^8-500\,B^3\,a^3\,c^2\,d^5\,e^6}{2048\,a^6\,c^3}}\right)\,\sqrt{-\frac{25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}-144\,A^2\,a^5\,c^8\,d^5+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}+180\,A^2\,a^6\,c^7\,d^3\,e^2-100\,B^2\,a^7\,c^6\,d^3\,e^2+30\,A\,B\,a^8\,c^5\,e^5-45\,A^2\,a^7\,c^6\,d\,e^4+75\,B^2\,a^8\,c^5\,d\,e^4+240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}-240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,1{}\mathrm{i}-\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,1{}\mathrm{i}}{\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}+\left(\left(\frac{20480\,B\,a^7\,c^4\,e^6-20480\,B\,a^6\,c^5\,d^2\,e^4-24576\,A\,a^6\,c^5\,d\,e^5+24576\,A\,a^5\,c^6\,d^3\,e^3}{4096\,a^6\,c^3}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^3\,c\,e^8+45\,A^2\,a^2\,c^2\,d^2\,e^6-180\,A^2\,a\,c^3\,d^4\,e^4+144\,A^2\,c^4\,d^6\,e^2-60\,A\,B\,a^3\,c\,d\,e^7+240\,A\,B\,a^2\,c^2\,d^3\,e^5-240\,A\,B\,a\,c^3\,d^5\,e^3+25\,B^2\,a^4\,e^8-75\,B^2\,a^3\,c\,d^2\,e^6+100\,B^2\,a^2\,c^2\,d^4\,e^4\right)}{64\,a^4\,c}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}-\frac{27\,A^3\,a^4\,c\,e^{11}-405\,A^3\,a^3\,c^2\,d^2\,e^9+1458\,A^3\,a^2\,c^3\,d^4\,e^7-1944\,A^3\,a\,c^4\,d^6\,e^5+864\,A^3\,c^5\,d^8\,e^3+405\,A^2\,B\,a^4\,c\,d\,e^{10}-2385\,A^2\,B\,a^3\,c^2\,d^3\,e^8+4140\,A^2\,B\,a^2\,c^3\,d^5\,e^6-2160\,A^2\,B\,a\,c^4\,d^7\,e^4-75\,A\,B^2\,a^5\,e^{11}+1125\,A\,B^2\,a^4\,c\,d^2\,e^9-2850\,A\,B^2\,a^3\,c^2\,d^4\,e^7+1800\,A\,B^2\,a^2\,c^3\,d^6\,e^5-125\,B^3\,a^5\,d\,e^{10}+625\,B^3\,a^4\,c\,d^3\,e^8-500\,B^3\,a^3\,c^2\,d^5\,e^6}{2048\,a^6\,c^3}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^8\,d^5+25\,B^2\,a\,e^5\,\sqrt{a^{15}\,c^9}+9\,A^2\,c\,e^5\,\sqrt{a^{15}\,c^9}-180\,A^2\,a^6\,c^7\,d^3\,e^2+100\,B^2\,a^7\,c^6\,d^3\,e^2-30\,A\,B\,a^8\,c^5\,e^5+45\,A^2\,a^7\,c^6\,d\,e^4-75\,B^2\,a^8\,c^5\,d\,e^4-240\,A\,B\,a^6\,c^7\,d^4\,e-30\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^9}+240\,A\,B\,a^7\,c^6\,d^2\,e^3}{4096\,a^{10}\,c^9}}\,2{}\mathrm{i}","Not used",1,"((e*(d + e*x)^(7/2)*(3*A*a*e^2 - 6*A*c*d^2 + 5*B*a*d*e))/(16*a^2) - ((d + e*x)^(1/2)*(5*B*a^3*e^6 - 6*A*c^3*d^5*e + 12*A*a*c^2*d^3*e^3 + 5*B*a*c^2*d^4*e^2 - 10*B*a^2*c*d^2*e^4 - 6*A*a^2*c*d*e^5))/(16*a^2*c^2) + ((d + e*x)^(3/2)*(A*a^2*e^5 - 15*B*a^2*d*e^4 - 18*A*c^2*d^4*e + 17*A*a*c*d^2*e^3 + 15*B*a*c*d^3*e^2))/(16*a^2*c) + (e*(d + e*x)^(5/2)*(18*A*c^2*d^3 + 9*B*a^2*e^3 - 8*A*a*c*d*e^2 - 15*B*a*c*d^2*e))/(16*a^2*c))/(c^2*(d + e*x)^4 + a^2*e^4 + c^2*d^4 + (6*c^2*d^2 - 2*a*c*e^2)*(d + e*x)^2 - (4*c^2*d^3 - 4*a*c*d*e^2)*(d + e*x) - 4*c^2*d*(d + e*x)^3 - 2*a*c*d^2*e^2) - atan(((((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*1i - (((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*1i)/((((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + (((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - (864*A^3*c^5*d^8*e^3 - 75*A*B^2*a^5*e^11 + 27*A^3*a^4*c*e^11 - 125*B^3*a^5*d*e^10 + 1458*A^3*a^2*c^3*d^4*e^7 - 405*A^3*a^3*c^2*d^2*e^9 - 500*B^3*a^3*c^2*d^5*e^6 - 1944*A^3*a*c^4*d^6*e^5 + 625*B^3*a^4*c*d^3*e^8 + 1800*A*B^2*a^2*c^3*d^6*e^5 - 2850*A*B^2*a^3*c^2*d^4*e^7 + 4140*A^2*B*a^2*c^3*d^5*e^6 - 2385*A^2*B*a^3*c^2*d^3*e^8 + 405*A^2*B*a^4*c*d*e^10 + 1125*A*B^2*a^4*c*d^2*e^9 - 2160*A^2*B*a*c^4*d^7*e^4)/(2048*a^6*c^3)))*(-(25*B^2*a*e^5*(a^15*c^9)^(1/2) - 144*A^2*a^5*c^8*d^5 + 9*A^2*c*e^5*(a^15*c^9)^(1/2) + 180*A^2*a^6*c^7*d^3*e^2 - 100*B^2*a^7*c^6*d^3*e^2 + 30*A*B*a^8*c^5*e^5 - 45*A^2*a^7*c^6*d*e^4 + 75*B^2*a^8*c^5*d*e^4 + 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) - 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*2i - atan(((((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*1i - (((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*1i)/((((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) + (((20480*B*a^7*c^4*e^6 - 24576*A*a^6*c^5*d*e^5 + 24576*A*a^5*c^6*d^3*e^3 - 20480*B*a^6*c^5*d^2*e^4)/(4096*a^6*c^3) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - ((d + e*x)^(1/2)*(25*B^2*a^4*e^8 + 144*A^2*c^4*d^6*e^2 + 9*A^2*a^3*c*e^8 + 45*A^2*a^2*c^2*d^2*e^6 + 100*B^2*a^2*c^2*d^4*e^4 - 180*A^2*a*c^3*d^4*e^4 - 75*B^2*a^3*c*d^2*e^6 - 60*A*B*a^3*c*d*e^7 - 240*A*B*a*c^3*d^5*e^3 + 240*A*B*a^2*c^2*d^3*e^5))/(64*a^4*c))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2) - (864*A^3*c^5*d^8*e^3 - 75*A*B^2*a^5*e^11 + 27*A^3*a^4*c*e^11 - 125*B^3*a^5*d*e^10 + 1458*A^3*a^2*c^3*d^4*e^7 - 405*A^3*a^3*c^2*d^2*e^9 - 500*B^3*a^3*c^2*d^5*e^6 - 1944*A^3*a*c^4*d^6*e^5 + 625*B^3*a^4*c*d^3*e^8 + 1800*A*B^2*a^2*c^3*d^6*e^5 - 2850*A*B^2*a^3*c^2*d^4*e^7 + 4140*A^2*B*a^2*c^3*d^5*e^6 - 2385*A^2*B*a^3*c^2*d^3*e^8 + 405*A^2*B*a^4*c*d*e^10 + 1125*A*B^2*a^4*c*d^2*e^9 - 2160*A^2*B*a*c^4*d^7*e^4)/(2048*a^6*c^3)))*((144*A^2*a^5*c^8*d^5 + 25*B^2*a*e^5*(a^15*c^9)^(1/2) + 9*A^2*c*e^5*(a^15*c^9)^(1/2) - 180*A^2*a^6*c^7*d^3*e^2 + 100*B^2*a^7*c^6*d^3*e^2 - 30*A*B*a^8*c^5*e^5 + 45*A^2*a^7*c^6*d*e^4 - 75*B^2*a^8*c^5*d*e^4 - 240*A*B*a^6*c^7*d^4*e - 30*A*B*c*d*e^4*(a^15*c^9)^(1/2) + 240*A*B*a^7*c^6*d^2*e^3)/(4096*a^10*c^9))^(1/2)*2i","B"
1460,1,7239,350,8.080739,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a - c*x^2)^3,x)","\frac{\frac{3\,\left(B\,a\,e^2-2\,A\,c\,d\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{16\,a^2}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(18\,A\,c\,d^2\,e-9\,B\,a\,d\,e^2+A\,a\,e^3\right)}{16\,a^2}+\frac{3\,\sqrt{d+e\,x}\,\left(B\,a^2\,d\,e^4+A\,a^2\,e^5-B\,a\,c\,d^3\,e^2-3\,A\,a\,c\,d^2\,e^3+2\,A\,c^2\,d^4\,e\right)}{16\,a^2\,c}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,a^2\,e^4+9\,B\,a\,c\,d^2\,e^2+8\,A\,a\,c\,d\,e^3-18\,A\,c^2\,d^3\,e\right)}{16\,a^2\,c}}{c^2\,{\left(d+e\,x\right)}^4+a^2\,e^4+c^2\,d^4+\left(6\,c^2\,d^2-2\,a\,c\,e^2\right)\,{\left(d+e\,x\right)}^2-\left(4\,c^2\,d^3-4\,a\,c\,d\,e^2\right)\,\left(d+e\,x\right)-4\,c^2\,d\,{\left(d+e\,x\right)}^3-2\,a\,c\,d^2\,e^2}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{3\,\left(18\,A^3\,a^2\,c^2\,d\,e^7-216\,A^3\,a\,c^3\,d^3\,e^5+288\,A^3\,c^4\,d^5\,e^3-9\,A^2\,B\,a^3\,c\,e^8+252\,A^2\,B\,a^2\,c^2\,d^2\,e^6-432\,A^2\,B\,a\,c^3\,d^4\,e^4-90\,A\,B^2\,a^3\,c\,d\,e^7+216\,A\,B^2\,a^2\,c^2\,d^3\,e^5+9\,B^3\,a^4\,e^8-36\,B^3\,a^3\,c\,d^2\,e^6\right)}{2048\,a^6\,c^2}}\right)\,\sqrt{-\frac{9\,\left(B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}-16\,A^2\,a^5\,c^7\,d^5+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}+20\,A^2\,a^6\,c^6\,d^3\,e^2-4\,B^2\,a^7\,c^5\,d^3\,e^2+2\,A\,B\,a^8\,c^4\,e^5-5\,A^2\,a^7\,c^5\,d\,e^4+3\,B^2\,a^8\,c^4\,d\,e^4+16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}-16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}-64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\left(\left(\frac{3\,\left(4096\,B\,a^6\,c^4\,d\,e^4+4096\,A\,a^6\,c^4\,e^5-8192\,A\,a^5\,c^5\,d^2\,e^3\right)}{4096\,a^6\,c^2}+64\,a\,c^4\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(9\,A^2\,a^2\,c\,e^6-36\,A^2\,a\,c^2\,d^2\,e^4+144\,A^2\,c^3\,d^4\,e^2-144\,A\,B\,a\,c^2\,d^3\,e^3+9\,B^2\,a^3\,e^6+36\,B^2\,a^2\,c\,d^2\,e^4\right)}{64\,a^4}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}+\frac{3\,\left(18\,A^3\,a^2\,c^2\,d\,e^7-216\,A^3\,a\,c^3\,d^3\,e^5+288\,A^3\,c^4\,d^5\,e^3-9\,A^2\,B\,a^3\,c\,e^8+252\,A^2\,B\,a^2\,c^2\,d^2\,e^6-432\,A^2\,B\,a\,c^3\,d^4\,e^4-90\,A\,B^2\,a^3\,c\,d\,e^7+216\,A\,B^2\,a^2\,c^2\,d^3\,e^5+9\,B^3\,a^4\,e^8-36\,B^3\,a^3\,c\,d^2\,e^6\right)}{2048\,a^6\,c^2}}\right)\,\sqrt{\frac{9\,\left(16\,A^2\,a^5\,c^7\,d^5+B^2\,a\,e^5\,\sqrt{a^{15}\,c^7}+A^2\,c\,e^5\,\sqrt{a^{15}\,c^7}-20\,A^2\,a^6\,c^6\,d^3\,e^2+4\,B^2\,a^7\,c^5\,d^3\,e^2-2\,A\,B\,a^8\,c^4\,e^5+5\,A^2\,a^7\,c^5\,d\,e^4-3\,B^2\,a^8\,c^4\,d\,e^4-16\,A\,B\,a^6\,c^6\,d^4\,e-2\,A\,B\,c\,d\,e^4\,\sqrt{a^{15}\,c^7}+16\,A\,B\,a^7\,c^5\,d^2\,e^3\right)}{4096\,\left(a^{10}\,c^8\,d^2-a^{11}\,c^7\,e^2\right)}}\,2{}\mathrm{i}","Not used",1,"((3*(B*a*e^2 - 2*A*c*d*e)*(d + e*x)^(7/2))/(16*a^2) + ((d + e*x)^(5/2)*(A*a*e^3 - 9*B*a*d*e^2 + 18*A*c*d^2*e))/(16*a^2) + (3*(d + e*x)^(1/2)*(A*a^2*e^5 + B*a^2*d*e^4 + 2*A*c^2*d^4*e - 3*A*a*c*d^2*e^3 - B*a*c*d^3*e^2))/(16*a^2*c) + ((d + e*x)^(3/2)*(B*a^2*e^4 - 18*A*c^2*d^3*e + 8*A*a*c*d*e^3 + 9*B*a*c*d^2*e^2))/(16*a^2*c))/(c^2*(d + e*x)^4 + a^2*e^4 + c^2*d^4 + (6*c^2*d^2 - 2*a*c*e^2)*(d + e*x)^2 - (4*c^2*d^3 - 4*a*c*d*e^2)*(d + e*x) - 4*c^2*d*(d + e*x)^3 - 2*a*c*d^2*e^2) + atan(((((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*1i - (((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*1i)/((((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + (((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + (3*(9*B^3*a^4*e^8 + 288*A^3*c^4*d^5*e^3 - 9*A^2*B*a^3*c*e^8 - 216*A^3*a*c^3*d^3*e^5 + 18*A^3*a^2*c^2*d*e^7 - 36*B^3*a^3*c*d^2*e^6 + 216*A*B^2*a^2*c^2*d^3*e^5 + 252*A^2*B*a^2*c^2*d^2*e^6 - 90*A*B^2*a^3*c*d*e^7 - 432*A^2*B*a*c^3*d^4*e^4))/(2048*a^6*c^2)))*(-(9*(B^2*a*e^5*(a^15*c^7)^(1/2) - 16*A^2*a^5*c^7*d^5 + A^2*c*e^5*(a^15*c^7)^(1/2) + 20*A^2*a^6*c^6*d^3*e^2 - 4*B^2*a^7*c^5*d^3*e^2 + 2*A*B*a^8*c^4*e^5 - 5*A^2*a^7*c^5*d*e^4 + 3*B^2*a^8*c^4*d*e^4 + 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) - 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*2i + atan(((((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*1i - (((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*1i)/((((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) - 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + (((3*(4096*A*a^6*c^4*e^5 + 4096*B*a^6*c^4*d*e^4 - 8192*A*a^5*c^5*d^2*e^3))/(4096*a^6*c^2) + 64*a*c^4*d*e^2*(d + e*x)^(1/2)*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) - ((d + e*x)^(1/2)*(9*B^2*a^3*e^6 + 144*A^2*c^3*d^4*e^2 + 9*A^2*a^2*c*e^6 - 36*A^2*a*c^2*d^2*e^4 + 36*B^2*a^2*c*d^2*e^4 - 144*A*B*a*c^2*d^3*e^3))/(64*a^4))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2) + (3*(9*B^3*a^4*e^8 + 288*A^3*c^4*d^5*e^3 - 9*A^2*B*a^3*c*e^8 - 216*A^3*a*c^3*d^3*e^5 + 18*A^3*a^2*c^2*d*e^7 - 36*B^3*a^3*c*d^2*e^6 + 216*A*B^2*a^2*c^2*d^3*e^5 + 252*A^2*B*a^2*c^2*d^2*e^6 - 90*A*B^2*a^3*c*d*e^7 - 432*A^2*B*a*c^3*d^4*e^4))/(2048*a^6*c^2)))*((9*(16*A^2*a^5*c^7*d^5 + B^2*a*e^5*(a^15*c^7)^(1/2) + A^2*c*e^5*(a^15*c^7)^(1/2) - 20*A^2*a^6*c^6*d^3*e^2 + 4*B^2*a^7*c^5*d^3*e^2 - 2*A*B*a^8*c^4*e^5 + 5*A^2*a^7*c^5*d*e^4 - 3*B^2*a^8*c^4*d*e^4 - 16*A*B*a^6*c^6*d^4*e - 2*A*B*c*d*e^4*(a^15*c^7)^(1/2) + 16*A*B*a^7*c^5*d^2*e^3))/(4096*(a^10*c^8*d^2 - a^11*c^7*e^2)))^(1/2)*2i","B"
1461,1,13200,372,7.833086,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a - c*x^2)^3,x)","-\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(B\,a^2\,d\,e^4-9\,A\,a^2\,e^5+3\,B\,a\,c\,d^3\,e^2+23\,A\,a\,c\,d^2\,e^3-18\,A\,c^2\,d^4\,e\right)}{16\,a^2\,\left(a\,e^2-c\,d^2\right)}-\frac{\sqrt{d+e\,x}\,\left(3\,B\,a^2\,e^4-B\,a\,c\,d^2\,e^2-8\,A\,a\,c\,d\,e^3+6\,A\,c^2\,d^3\,e\right)}{16\,a^2\,c}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(B\,a^2\,e^4+3\,B\,a\,c\,d^2\,e^2+14\,A\,a\,c\,d\,e^3-18\,A\,c^2\,d^3\,e\right)}{16\,a^2\,\left(a\,e^2-c\,d^2\right)}+\frac{c\,{\left(d+e\,x\right)}^{7/2}\,\left(-6\,A\,c\,d^2\,e+B\,a\,d\,e^2+5\,A\,a\,e^3\right)}{16\,a^2\,\left(a\,e^2-c\,d^2\right)}}{c^2\,{\left(d+e\,x\right)}^4+a^2\,e^4+c^2\,d^4+\left(6\,c^2\,d^2-2\,a\,c\,e^2\right)\,{\left(d+e\,x\right)}^2-\left(4\,c^2\,d^3-4\,a\,c\,d\,e^2\right)\,\left(d+e\,x\right)-4\,c^2\,d\,{\left(d+e\,x\right)}^3-2\,a\,c\,d^2\,e^2}+\mathrm{atan}\left(\frac{\left(\left(\frac{12288\,B\,a^8\,c^2\,e^8-16384\,B\,a^7\,c^3\,d^2\,e^6-32768\,A\,a^7\,c^3\,d\,e^7+4096\,B\,a^6\,c^4\,d^4\,e^4+57344\,A\,a^6\,c^4\,d^3\,e^5-24576\,A\,a^5\,c^5\,d^5\,e^3}{4096\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7-9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}-30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e+5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5+38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,\left(4096\,a^7\,c^4\,d\,e^6-8192\,a^6\,c^5\,d^3\,e^4+4096\,a^5\,c^6\,d^5\,e^2\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7-9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}-30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e+5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5+38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^3\,c^2\,e^8+109\,A^2\,a^2\,c^3\,d^2\,e^6-276\,A^2\,a\,c^4\,d^4\,e^4+144\,A^2\,c^5\,d^6\,e^2-68\,A\,B\,a^3\,c^2\,d\,e^7+112\,A\,B\,a^2\,c^3\,d^3\,e^5-48\,A\,B\,a\,c^4\,d^5\,e^3+9\,B^2\,a^4\,c\,e^8-11\,B^2\,a^3\,c^2\,d^2\,e^6+4\,B^2\,a^2\,c^3\,d^4\,e^4\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7-9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}-30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e+5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5+38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{12288\,B\,a^8\,c^2\,e^8-16384\,B\,a^7\,c^3\,d^2\,e^6-32768\,A\,a^7\,c^3\,d\,e^7+4096\,B\,a^6\,c^4\,d^4\,e^4+57344\,A\,a^6\,c^4\,d^3\,e^5-24576\,A\,a^5\,c^5\,d^5\,e^3}{4096\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7-9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7+21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6-25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}-30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e+5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5+38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,\left(4096\,a^7\,c^4\,d\,e^6-8192\,a^6\,c^5\,d^3\,e^4+4096\,a^5\,c^6\,d^5\,e^2\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7-9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7+21\,A^2\,c^2\,d^2\,e^5\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c^2\,e^8+109\,A^2\,a^2\,c^3\,d^2\,e^6-276\,A^2\,a\,c^4\,d^4\,e^4+144\,A^2\,c^5\,d^6\,e^2-68\,A\,B\,a^3\,c^2\,d\,e^7+112\,A\,B\,a^2\,c^3\,d^3\,e^5-48\,A\,B\,a\,c^4\,d^5\,e^3+9\,B^2\,a^4\,c\,e^8-11\,B^2\,a^3\,c^2\,d^2\,e^6+4\,B^2\,a^2\,c^3\,d^4\,e^4\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{12288\,B\,a^8\,c^2\,e^8-16384\,B\,a^7\,c^3\,d^2\,e^6-32768\,A\,a^7\,c^3\,d\,e^7+4096\,B\,a^6\,c^4\,d^4\,e^4+57344\,A\,a^6\,c^4\,d^3\,e^5-24576\,A\,a^5\,c^5\,d^5\,e^3}{4096\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,\left(4096\,a^7\,c^4\,d\,e^6-8192\,a^6\,c^5\,d^3\,e^4+4096\,a^5\,c^6\,d^5\,e^2\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^3\,c^2\,e^8+109\,A^2\,a^2\,c^3\,d^2\,e^6-276\,A^2\,a\,c^4\,d^4\,e^4+144\,A^2\,c^5\,d^6\,e^2-68\,A\,B\,a^3\,c^2\,d\,e^7+112\,A\,B\,a^2\,c^3\,d^3\,e^5-48\,A\,B\,a\,c^4\,d^5\,e^3+9\,B^2\,a^4\,c\,e^8-11\,B^2\,a^3\,c^2\,d^2\,e^6+4\,B^2\,a^2\,c^3\,d^4\,e^4\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{12288\,B\,a^8\,c^2\,e^8-16384\,B\,a^7\,c^3\,d^2\,e^6-32768\,A\,a^7\,c^3\,d\,e^7+4096\,B\,a^6\,c^4\,d^4\,e^4+57344\,A\,a^6\,c^4\,d^3\,e^5-24576\,A\,a^5\,c^5\,d^5\,e^3}{4096\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,\left(4096\,a^7\,c^4\,d\,e^6-8192\,a^6\,c^5\,d^3\,e^4+4096\,a^5\,c^6\,d^5\,e^2\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^3\,c^2\,e^8+109\,A^2\,a^2\,c^3\,d^2\,e^6-276\,A^2\,a\,c^4\,d^4\,e^4+144\,A^2\,c^5\,d^6\,e^2-68\,A\,B\,a^3\,c^2\,d\,e^7+112\,A\,B\,a^2\,c^3\,d^3\,e^5-48\,A\,B\,a\,c^4\,d^5\,e^3+9\,B^2\,a^4\,c\,e^8-11\,B^2\,a^3\,c^2\,d^2\,e^6+4\,B^2\,a^2\,c^3\,d^4\,e^4\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}+\left(\left(\frac{12288\,B\,a^8\,c^2\,e^8-16384\,B\,a^7\,c^3\,d^2\,e^6-32768\,A\,a^7\,c^3\,d\,e^7+4096\,B\,a^6\,c^4\,d^4\,e^4+57344\,A\,a^6\,c^4\,d^3\,e^5-24576\,A\,a^5\,c^5\,d^5\,e^3}{4096\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,\left(4096\,a^7\,c^4\,d\,e^6-8192\,a^6\,c^5\,d^3\,e^4+4096\,a^5\,c^6\,d^5\,e^2\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}-\frac{\sqrt{d+e\,x}\,\left(25\,A^2\,a^3\,c^2\,e^8+109\,A^2\,a^2\,c^3\,d^2\,e^6-276\,A^2\,a\,c^4\,d^4\,e^4+144\,A^2\,c^5\,d^6\,e^2-68\,A\,B\,a^3\,c^2\,d\,e^7+112\,A\,B\,a^2\,c^3\,d^3\,e^5-48\,A\,B\,a\,c^4\,d^5\,e^3+9\,B^2\,a^4\,c\,e^8-11\,B^2\,a^3\,c^2\,d^2\,e^6+4\,B^2\,a^2\,c^3\,d^4\,e^4\right)}{64\,\left(a^6\,e^4-2\,a^5\,c\,d^2\,e^2+a^4\,c^2\,d^4\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}+\frac{-125\,A^3\,a^3\,c\,e^9+1170\,A^3\,a^2\,c^2\,d^2\,e^7-1944\,A^3\,a\,c^3\,d^4\,e^5+864\,A^3\,c^4\,d^6\,e^3-465\,A^2\,B\,a^3\,c\,d\,e^8+972\,A^2\,B\,a^2\,c^2\,d^3\,e^6-432\,A^2\,B\,a\,c^3\,d^5\,e^4+45\,A\,B^2\,a^4\,e^9-162\,A\,B^2\,a^3\,c\,d^2\,e^7+72\,A\,B^2\,a^2\,c^2\,d^4\,e^5+9\,B^3\,a^4\,d\,e^8-4\,B^3\,a^3\,c\,d^3\,e^6}{2048\,\left(a^8\,e^4-2\,a^7\,c\,d^2\,e^2+a^6\,c^2\,d^4\right)}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^7+9\,B^2\,a^2\,e^7\,\sqrt{a^{15}\,c^5}-420\,A^2\,a^6\,c^6\,d^5\,e^2+385\,A^2\,a^7\,c^5\,d^3\,e^4+4\,B^2\,a^7\,c^5\,d^5\,e^2-15\,B^2\,a^8\,c^4\,d^3\,e^4+30\,A\,B\,a^9\,c^3\,e^7-21\,A^2\,c^2\,d^2\,e^5\,\sqrt{a^{15}\,c^5}-105\,A^2\,a^8\,c^4\,d\,e^6+15\,B^2\,a^9\,c^3\,d\,e^6+25\,A^2\,a\,c\,e^7\,\sqrt{a^{15}\,c^5}+30\,A\,B\,c^2\,d^3\,e^4\,\sqrt{a^{15}\,c^5}-48\,A\,B\,a^6\,c^6\,d^6\,e-5\,B^2\,a\,c\,d^2\,e^5\,\sqrt{a^{15}\,c^5}+160\,A\,B\,a^7\,c^5\,d^4\,e^3-150\,A\,B\,a^8\,c^4\,d^2\,e^5-38\,A\,B\,a\,c\,d\,e^6\,\sqrt{a^{15}\,c^5}}{4096\,\left(-a^{13}\,c^5\,e^6+3\,a^{12}\,c^6\,d^2\,e^4-3\,a^{11}\,c^7\,d^4\,e^2+a^{10}\,c^8\,d^6\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*1i - (((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*1i)/((((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + (((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + (864*A^3*c^4*d^6*e^3 + 45*A*B^2*a^4*e^9 - 125*A^3*a^3*c*e^9 + 9*B^3*a^4*d*e^8 + 1170*A^3*a^2*c^2*d^2*e^7 - 1944*A^3*a*c^3*d^4*e^5 - 4*B^3*a^3*c*d^3*e^6 + 72*A*B^2*a^2*c^2*d^4*e^5 + 972*A^2*B*a^2*c^2*d^3*e^6 - 465*A^2*B*a^3*c*d*e^8 - 162*A*B^2*a^3*c*d^2*e^7 - 432*A^2*B*a*c^3*d^5*e^4)/(2048*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2))))*((144*A^2*a^5*c^7*d^7 - 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 + 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 - 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) - 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e + 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 + 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*2i + atan(((((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*1i - (((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*1i)/((((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + (((12288*B*a^8*c^2*e^8 - 32768*A*a^7*c^3*d*e^7 - 24576*A*a^5*c^5*d^5*e^3 + 57344*A*a^6*c^4*d^3*e^5 + 4096*B*a^6*c^4*d^4*e^4 - 16384*B*a^7*c^3*d^2*e^6)/(4096*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*(4096*a^7*c^4*d*e^6 + 4096*a^5*c^6*d^5*e^2 - 8192*a^6*c^5*d^3*e^4))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) - ((d + e*x)^(1/2)*(25*A^2*a^3*c^2*e^8 + 144*A^2*c^5*d^6*e^2 + 9*B^2*a^4*c*e^8 + 109*A^2*a^2*c^3*d^2*e^6 + 4*B^2*a^2*c^3*d^4*e^4 - 11*B^2*a^3*c^2*d^2*e^6 - 276*A^2*a*c^4*d^4*e^4 - 48*A*B*a*c^4*d^5*e^3 - 68*A*B*a^3*c^2*d*e^7 + 112*A*B*a^2*c^3*d^3*e^5))/(64*(a^6*e^4 + a^4*c^2*d^4 - 2*a^5*c*d^2*e^2)))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2) + (864*A^3*c^4*d^6*e^3 + 45*A*B^2*a^4*e^9 - 125*A^3*a^3*c*e^9 + 9*B^3*a^4*d*e^8 + 1170*A^3*a^2*c^2*d^2*e^7 - 1944*A^3*a*c^3*d^4*e^5 - 4*B^3*a^3*c*d^3*e^6 + 72*A*B^2*a^2*c^2*d^4*e^5 + 972*A^2*B*a^2*c^2*d^3*e^6 - 465*A^2*B*a^3*c*d*e^8 - 162*A*B^2*a^3*c*d^2*e^7 - 432*A^2*B*a*c^3*d^5*e^4)/(2048*(a^8*e^4 + a^6*c^2*d^4 - 2*a^7*c*d^2*e^2))))*((144*A^2*a^5*c^7*d^7 + 9*B^2*a^2*e^7*(a^15*c^5)^(1/2) - 420*A^2*a^6*c^6*d^5*e^2 + 385*A^2*a^7*c^5*d^3*e^4 + 4*B^2*a^7*c^5*d^5*e^2 - 15*B^2*a^8*c^4*d^3*e^4 + 30*A*B*a^9*c^3*e^7 - 21*A^2*c^2*d^2*e^5*(a^15*c^5)^(1/2) - 105*A^2*a^8*c^4*d*e^6 + 15*B^2*a^9*c^3*d*e^6 + 25*A^2*a*c*e^7*(a^15*c^5)^(1/2) + 30*A*B*c^2*d^3*e^4*(a^15*c^5)^(1/2) - 48*A*B*a^6*c^6*d^6*e - 5*B^2*a*c*d^2*e^5*(a^15*c^5)^(1/2) + 160*A*B*a^7*c^5*d^4*e^3 - 150*A*B*a^8*c^4*d^2*e^5 - 38*A*B*a*c*d*e^6*(a^15*c^5)^(1/2))/(4096*(a^10*c^8*d^6 - a^13*c^5*e^6 - 3*a^11*c^7*d^4*e^2 + 3*a^12*c^6*d^2*e^4)))^(1/2)*2i - (((d + e*x)^(3/2)*(B*a^2*d*e^4 - 9*A*a^2*e^5 - 18*A*c^2*d^4*e + 23*A*a*c*d^2*e^3 + 3*B*a*c*d^3*e^2))/(16*a^2*(a*e^2 - c*d^2)) - ((d + e*x)^(1/2)*(3*B*a^2*e^4 + 6*A*c^2*d^3*e - 8*A*a*c*d*e^3 - B*a*c*d^2*e^2))/(16*a^2*c) - ((d + e*x)^(5/2)*(B*a^2*e^4 - 18*A*c^2*d^3*e + 14*A*a*c*d*e^3 + 3*B*a*c*d^2*e^2))/(16*a^2*(a*e^2 - c*d^2)) + (c*(d + e*x)^(7/2)*(5*A*a*e^3 + B*a*d*e^2 - 6*A*c*d^2*e))/(16*a^2*(a*e^2 - c*d^2)))/(c^2*(d + e*x)^4 + a^2*e^4 + c^2*d^4 + (6*c^2*d^2 - 2*a*c*e^2)*(d + e*x)^2 - (4*c^2*d^3 - 4*a*c*d*e^2)*(d + e*x) - 4*c^2*d*(d + e*x)^3 - 2*a*c*d^2*e^2)","B"
1462,1,19125,417,9.229756,"\text{Not used}","int((A + B*x)/((a - c*x^2)^3*(d + e*x)^(1/2)),x)","-\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(-9\,B\,a^3\,e^6+30\,B\,a^2\,c\,d^2\,e^4+2\,A\,a^2\,c\,d\,e^5+3\,B\,a\,c^2\,d^4\,e^2-44\,A\,a\,c^2\,d^3\,e^3+18\,A\,c^3\,d^5\,e\right)}{16\,a^2\,{\left(a\,e^2-c\,d^2\right)}^2}+\frac{\sqrt{d+e\,x}\,\left(19\,B\,a^2\,d\,e^4-11\,A\,a^2\,e^5+B\,a\,c\,d^3\,e^2-15\,A\,a\,c\,d^2\,e^3+6\,A\,c^2\,d^4\,e\right)}{16\,a^2\,\left(a\,e^2-c\,d^2\right)}-\frac{c\,{\left(d+e\,x\right)}^{5/2}\,\left(21\,B\,a^2\,d\,e^4-7\,A\,a^2\,e^5+3\,B\,a\,c\,d^3\,e^2-35\,A\,a\,c\,d^2\,e^3+18\,A\,c^2\,d^4\,e\right)}{16\,a^2\,{\left(a\,e^2-c\,d^2\right)}^2}+\frac{c\,{\left(d+e\,x\right)}^{7/2}\,\left(5\,B\,a^2\,e^4+B\,a\,c\,d^2\,e^2-12\,A\,a\,c\,d\,e^3+6\,A\,c^2\,d^3\,e\right)}{16\,a^2\,{\left(a\,e^2-c\,d^2\right)}^2}}{c^2\,{\left(d+e\,x\right)}^4+a^2\,e^4+c^2\,d^4+\left(6\,c^2\,d^2-2\,a\,c\,e^2\right)\,{\left(d+e\,x\right)}^2-\left(4\,c^2\,d^3-4\,a\,c\,d\,e^2\right)\,\left(d+e\,x\right)-4\,c^2\,d\,{\left(d+e\,x\right)}^3-2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}+\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}-\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}+\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}-\frac{-5292\,A^3\,a^3\,c^3\,d\,e^9+7398\,A^3\,a^2\,c^4\,d^3\,e^7-4104\,A^3\,a\,c^5\,d^5\,e^5+864\,A^3\,c^6\,d^7\,e^3+2205\,A^2\,B\,a^4\,c^2\,e^{10}+1053\,A^2\,B\,a^3\,c^3\,d^2\,e^8-1548\,A^2\,B\,a^2\,c^4\,d^4\,e^6+432\,A^2\,B\,a\,c^5\,d^6\,e^4-780\,A\,B^2\,a^4\,c^2\,d\,e^9-174\,A\,B^2\,a^3\,c^3\,d^3\,e^7+72\,A\,B^2\,a^2\,c^4\,d^5\,e^5-125\,B^3\,a^5\,c\,e^{10}-5\,B^3\,a^4\,c^2\,d^2\,e^8+4\,B^3\,a^3\,c^3\,d^4\,e^6}{2048\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}-\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9-25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6-441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9-189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8+210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e+486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7+35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}-154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}+666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}-588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}+\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\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\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}-\frac{-5292\,A^3\,a^3\,c^3\,d\,e^9+7398\,A^3\,a^2\,c^4\,d^3\,e^7-4104\,A^3\,a\,c^5\,d^5\,e^5+864\,A^3\,c^6\,d^7\,e^3+2205\,A^2\,B\,a^4\,c^2\,e^{10}+1053\,A^2\,B\,a^3\,c^3\,d^2\,e^8-1548\,A^2\,B\,a^2\,c^4\,d^4\,e^6+432\,A^2\,B\,a\,c^5\,d^6\,e^4-780\,A\,B^2\,a^4\,c^2\,d\,e^9-174\,A\,B^2\,a^3\,c^3\,d^3\,e^7+72\,A\,B^2\,a^2\,c^4\,d^5\,e^5-125\,B^3\,a^5\,c\,e^{10}-5\,B^3\,a^4\,c^2\,d^2\,e^8+4\,B^3\,a^3\,c^3\,d^4\,e^6}{2048\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\left(\left(\frac{-53248\,B\,a^9\,c^3\,d\,e^{10}+86016\,A\,a^9\,c^3\,e^{11}+110592\,B\,a^8\,c^4\,d^3\,e^8-233472\,A\,a^8\,c^4\,d^2\,e^9-61440\,B\,a^7\,c^5\,d^5\,e^6+233472\,A\,a^7\,c^5\,d^4\,e^7+4096\,B\,a^6\,c^6\,d^7\,e^4-110592\,A\,a^6\,c^6\,d^6\,e^5+24576\,A\,a^5\,c^7\,d^8\,e^3}{4096\,\left(a^{10}\,e^8-4\,a^9\,c\,d^2\,e^6+6\,a^8\,c^2\,d^4\,e^4-4\,a^7\,c^3\,d^6\,e^2+a^6\,c^4\,d^8\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,\left(4096\,a^9\,c^4\,d\,e^{10}-16384\,a^8\,c^5\,d^3\,e^8+24576\,a^7\,c^6\,d^5\,e^6-16384\,a^6\,c^7\,d^7\,e^4+4096\,a^5\,c^8\,d^9\,e^2\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}-\frac{\sqrt{d+e\,x}\,\left(441\,A^2\,a^4\,c^3\,e^{10}-990\,A^2\,a^3\,c^4\,d^2\,e^8+1089\,A^2\,a^2\,c^5\,d^4\,e^6-612\,A^2\,a\,c^6\,d^6\,e^4+144\,A^2\,c^7\,d^8\,e^2-456\,A\,B\,a^4\,c^3\,d\,e^9+552\,A\,B\,a^3\,c^4\,d^3\,e^7-288\,A\,B\,a^2\,c^5\,d^5\,e^5+48\,A\,B\,a\,c^6\,d^7\,e^3+25\,B^2\,a^5\,c^2\,e^{10}+74\,B^2\,a^4\,c^3\,d^2\,e^8-31\,B^2\,a^3\,c^4\,d^4\,e^6+4\,B^2\,a^2\,c^5\,d^6\,e^4\right)}{64\,\left(a^8\,e^8-4\,a^7\,c\,d^2\,e^6+6\,a^6\,c^2\,d^4\,e^4-4\,a^5\,c^3\,d^6\,e^2+a^4\,c^4\,d^8\right)}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}}\right)\,\sqrt{\frac{144\,A^2\,a^5\,c^7\,d^9+25\,B^2\,a^3\,e^9\,\sqrt{a^{15}\,c^3}-756\,A^2\,a^6\,c^6\,d^7\,e^2+1701\,A^2\,a^7\,c^5\,d^5\,e^4-1890\,A^2\,a^8\,c^4\,d^3\,e^6+4\,B^2\,a^7\,c^5\,d^7\,e^2-35\,B^2\,a^8\,c^4\,d^5\,e^4+70\,B^2\,a^9\,c^3\,d^3\,e^6+441\,A^2\,a^2\,c\,e^9\,\sqrt{a^{15}\,c^3}-210\,A\,B\,a^{10}\,c^2\,e^9+189\,A^2\,c^3\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+945\,A^2\,a^9\,c^3\,d\,e^8+105\,B^2\,a^{10}\,c^2\,d\,e^8-210\,A\,B\,c^3\,d^5\,e^4\,\sqrt{a^{15}\,c^3}+48\,A\,B\,a^6\,c^6\,d^8\,e-486\,A^2\,a\,c^2\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-336\,A\,B\,a^7\,c^5\,d^6\,e^3+630\,A\,B\,a^8\,c^4\,d^4\,e^5-420\,A\,B\,a^9\,c^3\,d^2\,e^7-35\,B^2\,a\,c^2\,d^4\,e^5\,\sqrt{a^{15}\,c^3}+154\,B^2\,a^2\,c\,d^2\,e^7\,\sqrt{a^{15}\,c^3}-666\,A\,B\,a^2\,c\,d\,e^8\,\sqrt{a^{15}\,c^3}+588\,A\,B\,a\,c^2\,d^3\,e^6\,\sqrt{a^{15}\,c^3}}{4096\,\left(-a^{15}\,c^3\,e^{10}+5\,a^{14}\,c^4\,d^2\,e^8-10\,a^{13}\,c^5\,d^4\,e^6+10\,a^{12}\,c^6\,d^6\,e^4-5\,a^{11}\,c^7\,d^8\,e^2+a^{10}\,c^8\,d^{10}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) + ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*1i - (((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*1i)/((((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) + ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - (864*A^3*c^6*d^7*e^3 - 125*B^3*a^5*c*e^10 + 7398*A^3*a^2*c^4*d^3*e^7 + 4*B^3*a^3*c^3*d^4*e^6 - 5*B^3*a^4*c^2*d^2*e^8 + 2205*A^2*B*a^4*c^2*e^10 - 4104*A^3*a*c^5*d^5*e^5 - 5292*A^3*a^3*c^3*d*e^9 + 72*A*B^2*a^2*c^4*d^5*e^5 - 174*A*B^2*a^3*c^3*d^3*e^7 - 1548*A^2*B*a^2*c^4*d^4*e^6 + 1053*A^2*B*a^3*c^3*d^2*e^8 - 780*A*B^2*a^4*c^2*d*e^9 + 432*A^2*B*a*c^5*d^6*e^4)/(2048*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + (((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)))*((144*A^2*a^5*c^7*d^9 - 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 - 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 - 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 + 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e + 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 + 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) - 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) + 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) - 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*2i - atan(((((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) + ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*1i - (((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*1i)/((((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) - ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) + ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - (864*A^3*c^6*d^7*e^3 - 125*B^3*a^5*c*e^10 + 7398*A^3*a^2*c^4*d^3*e^7 + 4*B^3*a^3*c^3*d^4*e^6 - 5*B^3*a^4*c^2*d^2*e^8 + 2205*A^2*B*a^4*c^2*e^10 - 4104*A^3*a*c^5*d^5*e^5 - 5292*A^3*a^3*c^3*d*e^9 + 72*A*B^2*a^2*c^4*d^5*e^5 - 174*A*B^2*a^3*c^3*d^3*e^7 - 1548*A^2*B*a^2*c^4*d^4*e^6 + 1053*A^2*B*a^3*c^3*d^2*e^8 - 780*A*B^2*a^4*c^2*d*e^9 + 432*A^2*B*a*c^5*d^6*e^4)/(2048*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + (((86016*A*a^9*c^3*e^11 - 53248*B*a^9*c^3*d*e^10 + 24576*A*a^5*c^7*d^8*e^3 - 110592*A*a^6*c^6*d^6*e^5 + 233472*A*a^7*c^5*d^4*e^7 - 233472*A*a^8*c^4*d^2*e^9 + 4096*B*a^6*c^6*d^7*e^4 - 61440*B*a^7*c^5*d^5*e^6 + 110592*B*a^8*c^4*d^3*e^8)/(4096*(a^10*e^8 + a^6*c^4*d^8 - 4*a^9*c*d^2*e^6 - 4*a^7*c^3*d^6*e^2 + 6*a^8*c^2*d^4*e^4)) + ((d + e*x)^(1/2)*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*(4096*a^9*c^4*d*e^10 + 4096*a^5*c^8*d^9*e^2 - 16384*a^6*c^7*d^7*e^4 + 24576*a^7*c^6*d^5*e^6 - 16384*a^8*c^5*d^3*e^8))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2) - ((d + e*x)^(1/2)*(441*A^2*a^4*c^3*e^10 + 25*B^2*a^5*c^2*e^10 + 144*A^2*c^7*d^8*e^2 + 1089*A^2*a^2*c^5*d^4*e^6 - 990*A^2*a^3*c^4*d^2*e^8 + 4*B^2*a^2*c^5*d^6*e^4 - 31*B^2*a^3*c^4*d^4*e^6 + 74*B^2*a^4*c^3*d^2*e^8 - 612*A^2*a*c^6*d^6*e^4 + 48*A*B*a*c^6*d^7*e^3 - 456*A*B*a^4*c^3*d*e^9 - 288*A*B*a^2*c^5*d^5*e^5 + 552*A*B*a^3*c^4*d^3*e^7))/(64*(a^8*e^8 + a^4*c^4*d^8 - 4*a^7*c*d^2*e^6 - 4*a^5*c^3*d^6*e^2 + 6*a^6*c^2*d^4*e^4)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)))*((144*A^2*a^5*c^7*d^9 + 25*B^2*a^3*e^9*(a^15*c^3)^(1/2) - 756*A^2*a^6*c^6*d^7*e^2 + 1701*A^2*a^7*c^5*d^5*e^4 - 1890*A^2*a^8*c^4*d^3*e^6 + 4*B^2*a^7*c^5*d^7*e^2 - 35*B^2*a^8*c^4*d^5*e^4 + 70*B^2*a^9*c^3*d^3*e^6 + 441*A^2*a^2*c*e^9*(a^15*c^3)^(1/2) - 210*A*B*a^10*c^2*e^9 + 189*A^2*c^3*d^4*e^5*(a^15*c^3)^(1/2) + 945*A^2*a^9*c^3*d*e^8 + 105*B^2*a^10*c^2*d*e^8 - 210*A*B*c^3*d^5*e^4*(a^15*c^3)^(1/2) + 48*A*B*a^6*c^6*d^8*e - 486*A^2*a*c^2*d^2*e^7*(a^15*c^3)^(1/2) - 336*A*B*a^7*c^5*d^6*e^3 + 630*A*B*a^8*c^4*d^4*e^5 - 420*A*B*a^9*c^3*d^2*e^7 - 35*B^2*a*c^2*d^4*e^5*(a^15*c^3)^(1/2) + 154*B^2*a^2*c*d^2*e^7*(a^15*c^3)^(1/2) - 666*A*B*a^2*c*d*e^8*(a^15*c^3)^(1/2) + 588*A*B*a*c^2*d^3*e^6*(a^15*c^3)^(1/2))/(4096*(a^10*c^8*d^10 - a^15*c^3*e^10 - 5*a^11*c^7*d^8*e^2 + 10*a^12*c^6*d^6*e^4 - 10*a^13*c^5*d^4*e^6 + 5*a^14*c^4*d^2*e^8)))^(1/2)*2i - (((d + e*x)^(3/2)*(18*A*c^3*d^5*e - 9*B*a^3*e^6 - 44*A*a*c^2*d^3*e^3 + 3*B*a*c^2*d^4*e^2 + 30*B*a^2*c*d^2*e^4 + 2*A*a^2*c*d*e^5))/(16*a^2*(a*e^2 - c*d^2)^2) + ((d + e*x)^(1/2)*(19*B*a^2*d*e^4 - 11*A*a^2*e^5 + 6*A*c^2*d^4*e - 15*A*a*c*d^2*e^3 + B*a*c*d^3*e^2))/(16*a^2*(a*e^2 - c*d^2)) - (c*(d + e*x)^(5/2)*(21*B*a^2*d*e^4 - 7*A*a^2*e^5 + 18*A*c^2*d^4*e - 35*A*a*c*d^2*e^3 + 3*B*a*c*d^3*e^2))/(16*a^2*(a*e^2 - c*d^2)^2) + (c*(d + e*x)^(7/2)*(5*B*a^2*e^4 + 6*A*c^2*d^3*e - 12*A*a*c*d*e^3 + B*a*c*d^2*e^2))/(16*a^2*(a*e^2 - c*d^2)^2))/(c^2*(d + e*x)^4 + a^2*e^4 + c^2*d^4 + (6*c^2*d^2 - 2*a*c*e^2)*(d + e*x)^2 - (4*c^2*d^3 - 4*a*c*d*e^2)*(d + e*x) - 4*c^2*d*(d + e*x)^3 - 2*a*c*d^2*e^2)","B"
1463,1,310,155,0.314805,"\text{Not used}","int(-(A + B*x)/((d + e*x)^(1/2)*(A^2*e + B^2*e*x^2 - 2*A*B*d)),x)","\frac{\sqrt{2}\,\left(\mathrm{atan}\left(\frac{\left(A\,e^2\,\sqrt{A\,B\,e-2\,B^2\,d}-2\,B\,d\,e\,\sqrt{A\,B\,e-2\,B^2\,d}\right)\,\left(\left(\frac{\sqrt{2}\,\left(\frac{2\,B^4\,d-2\,A\,B^3\,e}{e^2}-\frac{4\,A^2\,B^4\,e^4-8\,A\,B^5\,d\,e^3+4\,B^6\,d^2\,e^2}{e^4\,\left(2\,B^2\,d-A\,B\,e\right)}\right)}{\left(A\,e-B\,d\right)\,\left(A\,e-2\,B\,d\right)}+\frac{4\,\sqrt{2}\,A\,B^4}{e\,\left(2\,B^2\,d-A\,B\,e\right)\,\left(A\,e-B\,d\right)}\right)\,\sqrt{d+e\,x}-\frac{\sqrt{2}\,\left(\frac{2\,B^4}{e^2}-\frac{4\,B^6\,d}{e^2\,\left(2\,B^2\,d-A\,B\,e\right)}\right)\,{\left(d+e\,x\right)}^{3/2}}{\left(A\,e-B\,d\right)\,\left(A\,e-2\,B\,d\right)}\right)}{4\,A\,B^3}\right)-\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{A\,B\,e-2\,B^2\,d}\,\sqrt{d+e\,x}}{2\,\left(A\,e-2\,B\,d\right)}\right)\right)}{e\,\sqrt{A\,B\,e-2\,B^2\,d}}","Not used",1,"(2^(1/2)*(atan(((A*e^2*(A*B*e - 2*B^2*d)^(1/2) - 2*B*d*e*(A*B*e - 2*B^2*d)^(1/2))*(((2^(1/2)*((2*B^4*d - 2*A*B^3*e)/e^2 - (4*A^2*B^4*e^4 + 4*B^6*d^2*e^2 - 8*A*B^5*d*e^3)/(e^4*(2*B^2*d - A*B*e))))/((A*e - B*d)*(A*e - 2*B*d)) + (4*2^(1/2)*A*B^4)/(e*(2*B^2*d - A*B*e)*(A*e - B*d)))*(d + e*x)^(1/2) - (2^(1/2)*((2*B^4)/e^2 - (4*B^6*d)/(e^2*(2*B^2*d - A*B*e)))*(d + e*x)^(3/2))/((A*e - B*d)*(A*e - 2*B*d))))/(4*A*B^3)) - atan((2^(1/2)*(A*B*e - 2*B^2*d)^(1/2)*(d + e*x)^(1/2))/(2*(A*e - 2*B*d)))))/(e*(A*B*e - 2*B^2*d)^(1/2))","B"
1464,1,206,133,0.220362,"\text{Not used}","int((2*A + 2*B*x)/((x^2 + 1)*(4*e*x + (2*A^2*e - 2*B^2*e)/(A*B))^(1/2)),x)","\frac{\sqrt{2}\,\sqrt{A}\,\sqrt{B}\,\left(\mathrm{atan}\left(\frac{A^{3/2}\,{\left(4\,e\,x+\frac{2\,A^2\,e-2\,B^2\,e}{A\,B}\right)}^{3/2}\,\sqrt{2\,B}}{8\,e^{3/2}\,\left(A^2+B^2\right)}-\frac{A^{5/2}\,\sqrt{8\,e\,x+\frac{2\,\left(2\,A^2\,e-2\,B^2\,e\right)}{A\,B}}}{4\,\sqrt{B}\,\sqrt{e}\,\left(A^2+B^2\right)}+\frac{3\,\sqrt{2}\,\sqrt{A}\,B^{3/2}\,\sqrt{4\,e\,x+\frac{2\,A^2\,e-2\,B^2\,e}{A\,B}}}{4\,\sqrt{e}\,\left(A^2+B^2\right)}\right)+\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{A}\,\sqrt{4\,e\,x+\frac{2\,A^2\,e-2\,B^2\,e}{A\,B}}}{4\,\sqrt{B}\,\sqrt{e}}\right)\right)}{\sqrt{e}}","Not used",1,"(2^(1/2)*A^(1/2)*B^(1/2)*(atan((A^(3/2)*(4*e*x + (2*A^2*e - 2*B^2*e)/(A*B))^(3/2)*(2*B)^(1/2))/(8*e^(3/2)*(A^2 + B^2)) - (A^(5/2)*(8*e*x + (2*(2*A^2*e - 2*B^2*e))/(A*B))^(1/2))/(4*B^(1/2)*e^(1/2)*(A^2 + B^2)) + (3*2^(1/2)*A^(1/2)*B^(3/2)*(4*e*x + (2*A^2*e - 2*B^2*e)/(A*B))^(1/2))/(4*e^(1/2)*(A^2 + B^2))) + atan((2^(1/2)*A^(1/2)*(4*e*x + (2*A^2*e - 2*B^2*e)/(A*B))^(1/2))/(4*B^(1/2)*e^(1/2)))))/e^(1/2)","B"
1465,1,773,66,1.985700,"\text{Not used}","int(-(A + B*x)/((x^2 - 1)*(d + e*x)^(1/2)),x)","-\frac{\mathrm{atan}\left(\frac{\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A-B\right)\,\left(32\,B\,d\,e^2-32\,A\,e^3+\frac{32\,d\,e^2\,\left(A-B\right)\,\sqrt{d+e\,x}}{\sqrt{d-e}}\right)}{2\,\sqrt{d-e}}\right)\,\left(A-B\right)\,1{}\mathrm{i}}{2\,\sqrt{d-e}}+\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A-B\right)\,\left(32\,A\,e^3-32\,B\,d\,e^2+\frac{32\,d\,e^2\,\left(A-B\right)\,\sqrt{d+e\,x}}{\sqrt{d-e}}\right)}{2\,\sqrt{d-e}}\right)\,\left(A-B\right)\,1{}\mathrm{i}}{2\,\sqrt{d-e}}}{16\,B^3\,e^2-16\,A^2\,B\,e^2+\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A-B\right)\,\left(32\,B\,d\,e^2-32\,A\,e^3+\frac{32\,d\,e^2\,\left(A-B\right)\,\sqrt{d+e\,x}}{\sqrt{d-e}}\right)}{2\,\sqrt{d-e}}\right)\,\left(A-B\right)}{2\,\sqrt{d-e}}-\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A-B\right)\,\left(32\,A\,e^3-32\,B\,d\,e^2+\frac{32\,d\,e^2\,\left(A-B\right)\,\sqrt{d+e\,x}}{\sqrt{d-e}}\right)}{2\,\sqrt{d-e}}\right)\,\left(A-B\right)}{2\,\sqrt{d-e}}}\right)\,\left(A-B\right)\,1{}\mathrm{i}}{\sqrt{d-e}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A+B\right)\,\left(32\,B\,d\,e^2-32\,A\,e^3+\frac{32\,d\,e^2\,\left(A+B\right)\,\sqrt{d+e\,x}}{\sqrt{d+e}}\right)}{2\,\sqrt{d+e}}\right)\,\left(A+B\right)\,1{}\mathrm{i}}{2\,\sqrt{d+e}}+\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A+B\right)\,\left(32\,A\,e^3-32\,B\,d\,e^2+\frac{32\,d\,e^2\,\left(A+B\right)\,\sqrt{d+e\,x}}{\sqrt{d+e}}\right)}{2\,\sqrt{d+e}}\right)\,\left(A+B\right)\,1{}\mathrm{i}}{2\,\sqrt{d+e}}}{16\,B^3\,e^2-16\,A^2\,B\,e^2+\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A+B\right)\,\left(32\,B\,d\,e^2-32\,A\,e^3+\frac{32\,d\,e^2\,\left(A+B\right)\,\sqrt{d+e\,x}}{\sqrt{d+e}}\right)}{2\,\sqrt{d+e}}\right)\,\left(A+B\right)}{2\,\sqrt{d+e}}-\frac{\left(\left(16\,A^2\,e^2+16\,B^2\,e^2\right)\,\sqrt{d+e\,x}-\frac{\left(A+B\right)\,\left(32\,A\,e^3-32\,B\,d\,e^2+\frac{32\,d\,e^2\,\left(A+B\right)\,\sqrt{d+e\,x}}{\sqrt{d+e}}\right)}{2\,\sqrt{d+e}}\right)\,\left(A+B\right)}{2\,\sqrt{d+e}}}\right)\,\left(A+B\right)\,1{}\mathrm{i}}{\sqrt{d+e}}","Not used",1,"- (atan(((((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A - B)*(32*B*d*e^2 - 32*A*e^3 + (32*d*e^2*(A - B)*(d + e*x)^(1/2))/(d - e)^(1/2)))/(2*(d - e)^(1/2)))*(A - B)*1i)/(2*(d - e)^(1/2)) + (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A - B)*(32*A*e^3 - 32*B*d*e^2 + (32*d*e^2*(A - B)*(d + e*x)^(1/2))/(d - e)^(1/2)))/(2*(d - e)^(1/2)))*(A - B)*1i)/(2*(d - e)^(1/2)))/(16*B^3*e^2 - 16*A^2*B*e^2 + (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A - B)*(32*B*d*e^2 - 32*A*e^3 + (32*d*e^2*(A - B)*(d + e*x)^(1/2))/(d - e)^(1/2)))/(2*(d - e)^(1/2)))*(A - B))/(2*(d - e)^(1/2)) - (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A - B)*(32*A*e^3 - 32*B*d*e^2 + (32*d*e^2*(A - B)*(d + e*x)^(1/2))/(d - e)^(1/2)))/(2*(d - e)^(1/2)))*(A - B))/(2*(d - e)^(1/2))))*(A - B)*1i)/(d - e)^(1/2) - (atan(((((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A + B)*(32*B*d*e^2 - 32*A*e^3 + (32*d*e^2*(A + B)*(d + e*x)^(1/2))/(d + e)^(1/2)))/(2*(d + e)^(1/2)))*(A + B)*1i)/(2*(d + e)^(1/2)) + (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A + B)*(32*A*e^3 - 32*B*d*e^2 + (32*d*e^2*(A + B)*(d + e*x)^(1/2))/(d + e)^(1/2)))/(2*(d + e)^(1/2)))*(A + B)*1i)/(2*(d + e)^(1/2)))/(16*B^3*e^2 - 16*A^2*B*e^2 + (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A + B)*(32*B*d*e^2 - 32*A*e^3 + (32*d*e^2*(A + B)*(d + e*x)^(1/2))/(d + e)^(1/2)))/(2*(d + e)^(1/2)))*(A + B))/(2*(d + e)^(1/2)) - (((16*A^2*e^2 + 16*B^2*e^2)*(d + e*x)^(1/2) - ((A + B)*(32*A*e^3 - 32*B*d*e^2 + (32*d*e^2*(A + B)*(d + e*x)^(1/2))/(d + e)^(1/2)))/(2*(d + e)^(1/2)))*(A + B))/(2*(d + e)^(1/2))))*(A + B)*1i)/(d + e)^(1/2)","B"
1466,1,1244,440,2.171643,"\text{Not used}","int((A + B*x)/((x^2 + 1)*(d + e*x)^(1/2)),x)","-\mathrm{atan}\left(\frac{\left(\left(32\,B\,d\,e^2-32\,A\,e^3+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}+\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}+\left(\left(32\,A\,e^3-32\,B\,d\,e^2+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}+\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{16\,B^3\,e^2+\left(\left(32\,A\,e^3-32\,B\,d\,e^2+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}+\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}-\left(\left(32\,B\,d\,e^2-32\,A\,e^3+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}+\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}+16\,A^2\,B\,e^2}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(-e+d\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}+\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,\left(32\,B\,d\,e^2-32\,A\,e^3+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\right)\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}+\left(\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}+\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,\left(32\,A\,e^3-32\,B\,d\,e^2+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\right)\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{16\,B^3\,e^2-\left(\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}+\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,\left(32\,B\,d\,e^2-32\,A\,e^3+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\right)\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}+\left(\left(16\,A^2\,e^2-16\,B^2\,e^2\right)\,\sqrt{d+e\,x}+\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,\left(32\,A\,e^3-32\,B\,d\,e^2+64\,d\,e^2\,\sqrt{d+e\,x}\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\right)\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}+16\,A^2\,B\,e^2}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(d-e\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((32*B*d*e^2 - 32*A*e^3 + 64*d*e^2*(d + e*x)^(1/2)*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) + (16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2)*1i + ((32*A*e^3 - 32*B*d*e^2 + 64*d*e^2*(d + e*x)^(1/2)*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) + (16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2)*1i)/(((32*A*e^3 - 32*B*d*e^2 + 64*d*e^2*(d + e*x)^(1/2)*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) + (16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) - ((32*B*d*e^2 - 32*A*e^3 + 64*d*e^2*(d + e*x)^(1/2)*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) + (16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2) + 16*B^3*e^2 + 16*A^2*B*e^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(d*1i - e)))^(1/2)*2i - atan((((16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2) + ((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*(32*B*d*e^2 - 32*A*e^3 + 64*d*e^2*(d + e*x)^(1/2)*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)))*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*1i + ((16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2) + ((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*(32*A*e^3 - 32*B*d*e^2 + 64*d*e^2*(d + e*x)^(1/2)*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)))*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*1i)/(16*B^3*e^2 - ((16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2) + ((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*(32*B*d*e^2 - 32*A*e^3 + 64*d*e^2*(d + e*x)^(1/2)*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)))*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2) + ((16*A^2*e^2 - 16*B^2*e^2)*(d + e*x)^(1/2) + ((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*(32*A*e^3 - 32*B*d*e^2 + 64*d*e^2*(d + e*x)^(1/2)*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)))*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2) + 16*A^2*B*e^2))*((B^2 - A^2 + A*B*2i)/(4*(d - e*1i)))^(1/2)*2i","B"
1467,1,233,202,1.807302,"\text{Not used}","int(-((x - 1)*(x + 1)^(1/2))/(x^2 + 1),x)","\mathrm{atanh}\left(\frac{64\,\sqrt{2}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{x+1}}{256\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}-64}-\frac{64\,\sqrt{2}\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{x+1}}{256\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}-64}\right)\,\left(2\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}+2\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\right)-2\,\sqrt{x+1}-\mathrm{atanh}\left(\frac{64\,\sqrt{2}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{x+1}}{256\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}+64}+\frac{64\,\sqrt{2}\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{x+1}}{256\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}+64}\right)\,\left(2\,\sqrt{-\frac{\sqrt{2}}{4}-\frac{1}{4}}-2\,\sqrt{\frac{\sqrt{2}}{4}-\frac{1}{4}}\right)","Not used",1,"atanh((64*2^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2)*(x + 1)^(1/2))/(256*(2^(1/2)/4 - 1/4)^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2) - 64) - (64*2^(1/2)*(2^(1/2)/4 - 1/4)^(1/2)*(x + 1)^(1/2))/(256*(2^(1/2)/4 - 1/4)^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2) - 64))*(2*(- 2^(1/2)/4 - 1/4)^(1/2) + 2*(2^(1/2)/4 - 1/4)^(1/2)) - 2*(x + 1)^(1/2) - atanh((64*2^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2)*(x + 1)^(1/2))/(256*(2^(1/2)/4 - 1/4)^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2) + 64) + (64*2^(1/2)*(2^(1/2)/4 - 1/4)^(1/2)*(x + 1)^(1/2))/(256*(2^(1/2)/4 - 1/4)^(1/2)*(- 2^(1/2)/4 - 1/4)^(1/2) + 64))*(2*(- 2^(1/2)/4 - 1/4)^(1/2) - 2*(2^(1/2)/4 - 1/4)^(1/2))","B"
1468,1,38,45,1.757953,"\text{Not used}","int((x + 3)/((3*x + 4)^(1/2)*(x^2 + 1)),x)","\sqrt{2}\,\left(\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(3\,x+4\right)}^{3/2}}{10}-\frac{3\,\sqrt{6\,x+8}}{10}\right)+\mathrm{atan}\left(\frac{\sqrt{6\,x+8}}{2}\right)\right)","Not used",1,"2^(1/2)*(atan((2^(1/2)*(3*x + 4)^(3/2))/10 - (3*(6*x + 8)^(1/2))/10) + atan((6*x + 8)^(1/2)/2))","B"
1469,1,21,53,1.836793,"\text{Not used}","int(-(3*x - 1)/((3*x + 4)^(1/2)*(x^2 + 1)),x)","\sqrt{2}\,\mathrm{atanh}\left(\frac{24\,\sqrt{6\,x+8}}{24\,x+72}\right)","Not used",1,"2^(1/2)*atanh((24*(6*x + 8)^(1/2))/(24*x + 72))","B"
1470,1,26,29,0.144202,"\text{Not used}","int((x + 2)/((4*x + 3)^(1/2)*(x^2 + 1)),x)","\mathrm{atan}\left(\frac{\sqrt{4\,x+3}}{2}\right)+\mathrm{atan}\left(\frac{\left(4\,x+2\right)\,\sqrt{4\,x+3}}{10}\right)","Not used",1,"atan((4*x + 3)^(1/2)/2) + atan(((4*x + 2)*(4*x + 3)^(1/2))/10)","B"
1471,1,39,45,2.035129,"\text{Not used}","int((x - 2)/((x^2 - 8)*(x - 3)^(1/2)),x)","\frac{\sqrt{2}\,\left(\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{x-3}}{4}\right)+\mathrm{atan}\left(\frac{7\,\sqrt{2}\,\sqrt{x-3}}{4}+\frac{\sqrt{2}\,{\left(x-3\right)}^{3/2}}{4}\right)\right)}{2}","Not used",1,"(2^(1/2)*(atan((2^(1/2)*(x - 3)^(1/2))/4) + atan((7*2^(1/2)*(x - 3)^(1/2))/4 + (2^(1/2)*(x - 3)^(3/2))/4)))/2","B"
1472,0,-1,438,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2),x)","\int \sqrt{c\,x^2+a}\,\left(A+B\,x\right)\,\sqrt{d+e\,x} \,d x","Not used",1,"int((a + c*x^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2), x)","F"
1473,0,-1,365,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(1/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(1/2), x)","F"
1474,0,-1,352,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(3/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(3/2), x)","F"
1475,0,-1,420,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(5/2),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(A + B*x))/(d + e*x)^(5/2), x)","F"
1476,0,-1,498,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(1/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(1/2), x)","F"
1477,0,-1,448,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(3/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(3/2), x)","F"
1478,0,-1,437,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(5/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(5/2), x)","F"
1479,0,-1,541,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(7/2),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(A + B*x))/(d + e*x)^(7/2), x)","F"
1480,0,-1,388,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + c*x^2)^(1/2), x)","F"
1481,0,-1,331,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + c*x^2)^(1/2), x)","F"
1482,0,-1,288,0.000000,"\text{Not used}","int((A + B*x)/((a + c*x^2)^(1/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+a}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((a + c*x^2)^(1/2)*(d + e*x)^(1/2)), x)","F"
1483,0,-1,344,0.000000,"\text{Not used}","int((A + B*x)/((a + c*x^2)^(1/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{c\,x^2+a}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((a + c*x^2)^(1/2)*(d + e*x)^(3/2)), x)","F"
1484,0,-1,345,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + c*x^2)^(3/2), x)","F"
1485,0,-1,319,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + c*x^2)^(3/2), x)","F"
1486,0,-1,356,0.000000,"\text{Not used}","int((A + B*x)/((a + c*x^2)^(3/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{{\left(c\,x^2+a\right)}^{3/2}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/((a + c*x^2)^(3/2)*(d + e*x)^(1/2)), x)","F"
1487,1,2585,372,3.274847,"\text{Not used}","int((a + c*x^2)^3*(A + B*x)*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^3\,d^2\,e^6\,m^6-33\,B\,a^3\,d^2\,e^6\,m^5-445\,B\,a^3\,d^2\,e^6\,m^4-3135\,B\,a^3\,d^2\,e^6\,m^3-12154\,B\,a^3\,d^2\,e^6\,m^2-24552\,B\,a^3\,d^2\,e^6\,m-20160\,B\,a^3\,d^2\,e^6+A\,a^3\,d\,e^7\,m^7+35\,A\,a^3\,d\,e^7\,m^6+511\,A\,a^3\,d\,e^7\,m^5+4025\,A\,a^3\,d\,e^7\,m^4+18424\,A\,a^3\,d\,e^7\,m^3+48860\,A\,a^3\,d\,e^7\,m^2+69264\,A\,a^3\,d\,e^7\,m+40320\,A\,a^3\,d\,e^7-18\,B\,a^2\,c\,d^4\,e^4\,m^4-468\,B\,a^2\,c\,d^4\,e^4\,m^3-4518\,B\,a^2\,c\,d^4\,e^4\,m^2-19188\,B\,a^2\,c\,d^4\,e^4\,m-30240\,B\,a^2\,c\,d^4\,e^4+6\,A\,a^2\,c\,d^3\,e^5\,m^5+180\,A\,a^2\,c\,d^3\,e^5\,m^4+2130\,A\,a^2\,c\,d^3\,e^5\,m^3+12420\,A\,a^2\,c\,d^3\,e^5\,m^2+35664\,A\,a^2\,c\,d^3\,e^5\,m+40320\,A\,a^2\,c\,d^3\,e^5-360\,B\,a\,c^2\,d^6\,e^2\,m^2-5400\,B\,a\,c^2\,d^6\,e^2\,m-20160\,B\,a\,c^2\,d^6\,e^2+72\,A\,a\,c^2\,d^5\,e^3\,m^3+1512\,A\,a\,c^2\,d^5\,e^3\,m^2+10512\,A\,a\,c^2\,d^5\,e^3\,m+24192\,A\,a\,c^2\,d^5\,e^3-5040\,B\,c^3\,d^8+720\,A\,c^3\,d^7\,e\,m+5760\,A\,c^3\,d^7\,e\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,d\,e^7\,m^7+33\,B\,a^3\,d\,e^7\,m^6+445\,B\,a^3\,d\,e^7\,m^5+3135\,B\,a^3\,d\,e^7\,m^4+12154\,B\,a^3\,d\,e^7\,m^3+24552\,B\,a^3\,d\,e^7\,m^2+20160\,B\,a^3\,d\,e^7\,m+A\,a^3\,e^8\,m^7+35\,A\,a^3\,e^8\,m^6+511\,A\,a^3\,e^8\,m^5+4025\,A\,a^3\,e^8\,m^4+18424\,A\,a^3\,e^8\,m^3+48860\,A\,a^3\,e^8\,m^2+69264\,A\,a^3\,e^8\,m+40320\,A\,a^3\,e^8+18\,B\,a^2\,c\,d^3\,e^5\,m^5+468\,B\,a^2\,c\,d^3\,e^5\,m^4+4518\,B\,a^2\,c\,d^3\,e^5\,m^3+19188\,B\,a^2\,c\,d^3\,e^5\,m^2+30240\,B\,a^2\,c\,d^3\,e^5\,m-6\,A\,a^2\,c\,d^2\,e^6\,m^6-180\,A\,a^2\,c\,d^2\,e^6\,m^5-2130\,A\,a^2\,c\,d^2\,e^6\,m^4-12420\,A\,a^2\,c\,d^2\,e^6\,m^3-35664\,A\,a^2\,c\,d^2\,e^6\,m^2-40320\,A\,a^2\,c\,d^2\,e^6\,m+360\,B\,a\,c^2\,d^5\,e^3\,m^3+5400\,B\,a\,c^2\,d^5\,e^3\,m^2+20160\,B\,a\,c^2\,d^5\,e^3\,m-72\,A\,a\,c^2\,d^4\,e^4\,m^4-1512\,A\,a\,c^2\,d^4\,e^4\,m^3-10512\,A\,a\,c^2\,d^4\,e^4\,m^2-24192\,A\,a\,c^2\,d^4\,e^4\,m+5040\,B\,c^3\,d^7\,e\,m-720\,A\,c^3\,d^6\,e^2\,m^2-5760\,A\,c^3\,d^6\,e^2\,m\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{B\,c^3\,x^8\,{\left(d+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{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,e^6\,m^6+33\,B\,a^3\,e^6\,m^5+445\,B\,a^3\,e^6\,m^4+3135\,B\,a^3\,e^6\,m^3+12154\,B\,a^3\,e^6\,m^2+24552\,B\,a^3\,e^6\,m+20160\,B\,a^3\,e^6-9\,B\,a^2\,c\,d^2\,e^4\,m^5-234\,B\,a^2\,c\,d^2\,e^4\,m^4-2259\,B\,a^2\,c\,d^2\,e^4\,m^3-9594\,B\,a^2\,c\,d^2\,e^4\,m^2-15120\,B\,a^2\,c\,d^2\,e^4\,m+3\,A\,a^2\,c\,d\,e^5\,m^6+90\,A\,a^2\,c\,d\,e^5\,m^5+1065\,A\,a^2\,c\,d\,e^5\,m^4+6210\,A\,a^2\,c\,d\,e^5\,m^3+17832\,A\,a^2\,c\,d\,e^5\,m^2+20160\,A\,a^2\,c\,d\,e^5\,m-180\,B\,a\,c^2\,d^4\,e^2\,m^3-2700\,B\,a\,c^2\,d^4\,e^2\,m^2-10080\,B\,a\,c^2\,d^4\,e^2\,m+36\,A\,a\,c^2\,d^3\,e^3\,m^4+756\,A\,a\,c^2\,d^3\,e^3\,m^3+5256\,A\,a\,c^2\,d^3\,e^3\,m^2+12096\,A\,a\,c^2\,d^3\,e^3\,m-2520\,B\,c^3\,d^6\,m+360\,A\,c^3\,d^5\,e\,m^2+2880\,A\,c^3\,d^5\,e\,m\right)}{e^6\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{3\,c^2\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(14\,B\,c\,d^3\,m-2\,A\,c\,d^2\,e\,m^2-16\,A\,c\,d^2\,e\,m+B\,a\,d\,e^2\,m^3+15\,B\,a\,d\,e^2\,m^2+56\,B\,a\,d\,e^2\,m+A\,a\,e^3\,m^3+21\,A\,a\,e^3\,m^2+146\,A\,a\,e^3\,m+336\,A\,a\,e^3\right)}{e^3\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{3\,c\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(B\,a^2\,e^4\,m^4+26\,B\,a^2\,e^4\,m^3+251\,B\,a^2\,e^4\,m^2+1066\,B\,a^2\,e^4\,m+1680\,B\,a^2\,e^4-5\,B\,a\,c\,d^2\,e^2\,m^3-75\,B\,a\,c\,d^2\,e^2\,m^2-280\,B\,a\,c\,d^2\,e^2\,m+A\,a\,c\,d\,e^3\,m^4+21\,A\,a\,c\,d\,e^3\,m^3+146\,A\,a\,c\,d\,e^3\,m^2+336\,A\,a\,c\,d\,e^3\,m-70\,B\,c^2\,d^4\,m+10\,A\,c^2\,d^3\,e\,m^2+80\,A\,c^2\,d^3\,e\,m\right)}{e^4\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^2\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(-7\,B\,c\,d^2\,m+A\,c\,d\,e\,m^2+8\,A\,c\,d\,e\,m+3\,B\,a\,e^2\,m^2+45\,B\,a\,e^2\,m+168\,B\,a\,e^2\right)}{e^2\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^3\,x^7\,{\left(d+e\,x\right)}^m\,\left(8\,A\,e+A\,e\,m+B\,d\,m\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{3\,c\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(B\,a^2\,d\,e^4\,m^5+26\,B\,a^2\,d\,e^4\,m^4+251\,B\,a^2\,d\,e^4\,m^3+1066\,B\,a^2\,d\,e^4\,m^2+1680\,B\,a^2\,d\,e^4\,m+A\,a^2\,e^5\,m^5+30\,A\,a^2\,e^5\,m^4+355\,A\,a^2\,e^5\,m^3+2070\,A\,a^2\,e^5\,m^2+5944\,A\,a^2\,e^5\,m+6720\,A\,a^2\,e^5+20\,B\,a\,c\,d^3\,e^2\,m^3+300\,B\,a\,c\,d^3\,e^2\,m^2+1120\,B\,a\,c\,d^3\,e^2\,m-4\,A\,a\,c\,d^2\,e^3\,m^4-84\,A\,a\,c\,d^2\,e^3\,m^3-584\,A\,a\,c\,d^2\,e^3\,m^2-1344\,A\,a\,c\,d^2\,e^3\,m+280\,B\,c^2\,d^5\,m-40\,A\,c^2\,d^4\,e\,m^2-320\,A\,c^2\,d^4\,e\,m\right)}{e^5\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}","Not used",1,"((d + e*x)^m*(40320*A*a^3*d*e^7 - 5040*B*c^3*d^8 + 5760*A*c^3*d^7*e - 20160*B*a^3*d^2*e^6 + 24192*A*a*c^2*d^5*e^3 + 40320*A*a^2*c*d^3*e^5 - 20160*B*a*c^2*d^6*e^2 - 30240*B*a^2*c*d^4*e^4 + 48860*A*a^3*d*e^7*m^2 + 18424*A*a^3*d*e^7*m^3 + 4025*A*a^3*d*e^7*m^4 + 511*A*a^3*d*e^7*m^5 + 35*A*a^3*d*e^7*m^6 + A*a^3*d*e^7*m^7 - 24552*B*a^3*d^2*e^6*m - 12154*B*a^3*d^2*e^6*m^2 - 3135*B*a^3*d^2*e^6*m^3 - 445*B*a^3*d^2*e^6*m^4 - 33*B*a^3*d^2*e^6*m^5 - B*a^3*d^2*e^6*m^6 + 69264*A*a^3*d*e^7*m + 720*A*c^3*d^7*e*m + 1512*A*a*c^2*d^5*e^3*m^2 + 12420*A*a^2*c*d^3*e^5*m^2 + 72*A*a*c^2*d^5*e^3*m^3 + 2130*A*a^2*c*d^3*e^5*m^3 + 180*A*a^2*c*d^3*e^5*m^4 + 6*A*a^2*c*d^3*e^5*m^5 - 360*B*a*c^2*d^6*e^2*m^2 - 4518*B*a^2*c*d^4*e^4*m^2 - 468*B*a^2*c*d^4*e^4*m^3 - 18*B*a^2*c*d^4*e^4*m^4 + 10512*A*a*c^2*d^5*e^3*m + 35664*A*a^2*c*d^3*e^5*m - 5400*B*a*c^2*d^6*e^2*m - 19188*B*a^2*c*d^4*e^4*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x*(d + e*x)^m*(40320*A*a^3*e^8 + 69264*A*a^3*e^8*m + 48860*A*a^3*e^8*m^2 + 18424*A*a^3*e^8*m^3 + 4025*A*a^3*e^8*m^4 + 511*A*a^3*e^8*m^5 + 35*A*a^3*e^8*m^6 + A*a^3*e^8*m^7 + 24552*B*a^3*d*e^7*m^2 + 12154*B*a^3*d*e^7*m^3 + 3135*B*a^3*d*e^7*m^4 + 445*B*a^3*d*e^7*m^5 + 33*B*a^3*d*e^7*m^6 + B*a^3*d*e^7*m^7 - 5760*A*c^3*d^6*e^2*m - 720*A*c^3*d^6*e^2*m^2 + 20160*B*a^3*d*e^7*m + 5040*B*c^3*d^7*e*m - 10512*A*a*c^2*d^4*e^4*m^2 - 35664*A*a^2*c*d^2*e^6*m^2 - 1512*A*a*c^2*d^4*e^4*m^3 - 12420*A*a^2*c*d^2*e^6*m^3 - 72*A*a*c^2*d^4*e^4*m^4 - 2130*A*a^2*c*d^2*e^6*m^4 - 180*A*a^2*c*d^2*e^6*m^5 - 6*A*a^2*c*d^2*e^6*m^6 + 5400*B*a*c^2*d^5*e^3*m^2 + 19188*B*a^2*c*d^3*e^5*m^2 + 360*B*a*c^2*d^5*e^3*m^3 + 4518*B*a^2*c*d^3*e^5*m^3 + 468*B*a^2*c*d^3*e^5*m^4 + 18*B*a^2*c*d^3*e^5*m^5 - 24192*A*a*c^2*d^4*e^4*m - 40320*A*a^2*c*d^2*e^6*m + 20160*B*a*c^2*d^5*e^3*m + 30240*B*a^2*c*d^3*e^5*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (B*c^3*x^8*(d + 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) + (x^2*(m + 1)*(d + e*x)^m*(20160*B*a^3*e^6 + 24552*B*a^3*e^6*m - 2520*B*c^3*d^6*m + 12154*B*a^3*e^6*m^2 + 3135*B*a^3*e^6*m^3 + 445*B*a^3*e^6*m^4 + 33*B*a^3*e^6*m^5 + B*a^3*e^6*m^6 + 360*A*c^3*d^5*e*m^2 + 2880*A*c^3*d^5*e*m + 5256*A*a*c^2*d^3*e^3*m^2 + 756*A*a*c^2*d^3*e^3*m^3 + 36*A*a*c^2*d^3*e^3*m^4 - 2700*B*a*c^2*d^4*e^2*m^2 - 9594*B*a^2*c*d^2*e^4*m^2 - 180*B*a*c^2*d^4*e^2*m^3 - 2259*B*a^2*c*d^2*e^4*m^3 - 234*B*a^2*c*d^2*e^4*m^4 - 9*B*a^2*c*d^2*e^4*m^5 + 20160*A*a^2*c*d*e^5*m + 12096*A*a*c^2*d^3*e^3*m + 17832*A*a^2*c*d*e^5*m^2 + 6210*A*a^2*c*d*e^5*m^3 + 1065*A*a^2*c*d*e^5*m^4 + 90*A*a^2*c*d*e^5*m^5 + 3*A*a^2*c*d*e^5*m^6 - 10080*B*a*c^2*d^4*e^2*m - 15120*B*a^2*c*d^2*e^4*m))/(e^6*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (3*c^2*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(336*A*a*e^3 + 146*A*a*e^3*m + 14*B*c*d^3*m + 21*A*a*e^3*m^2 + A*a*e^3*m^3 + 56*B*a*d*e^2*m - 16*A*c*d^2*e*m + 15*B*a*d*e^2*m^2 + B*a*d*e^2*m^3 - 2*A*c*d^2*e*m^2))/(e^3*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (3*c*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(1680*B*a^2*e^4 + 1066*B*a^2*e^4*m - 70*B*c^2*d^4*m + 251*B*a^2*e^4*m^2 + 26*B*a^2*e^4*m^3 + B*a^2*e^4*m^4 + 10*A*c^2*d^3*e*m^2 + 80*A*c^2*d^3*e*m + 146*A*a*c*d*e^3*m^2 + 21*A*a*c*d*e^3*m^3 + A*a*c*d*e^3*m^4 - 280*B*a*c*d^2*e^2*m - 75*B*a*c*d^2*e^2*m^2 - 5*B*a*c*d^2*e^2*m^3 + 336*A*a*c*d*e^3*m))/(e^4*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c^2*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(168*B*a*e^2 + 45*B*a*e^2*m - 7*B*c*d^2*m + 3*B*a*e^2*m^2 + 8*A*c*d*e*m + A*c*d*e*m^2))/(e^2*(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^7*(d + e*x)^m*(8*A*e + A*e*m + B*d*m)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (3*c*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(6720*A*a^2*e^5 + 5944*A*a^2*e^5*m + 280*B*c^2*d^5*m + 2070*A*a^2*e^5*m^2 + 355*A*a^2*e^5*m^3 + 30*A*a^2*e^5*m^4 + A*a^2*e^5*m^5 + 1066*B*a^2*d*e^4*m^2 + 251*B*a^2*d*e^4*m^3 + 26*B*a^2*d*e^4*m^4 + B*a^2*d*e^4*m^5 - 40*A*c^2*d^4*e*m^2 + 1680*B*a^2*d*e^4*m - 320*A*c^2*d^4*e*m - 1344*A*a*c*d^2*e^3*m + 1120*B*a*c*d^3*e^2*m - 584*A*a*c*d^2*e^3*m^2 - 84*A*a*c*d^2*e^3*m^3 - 4*A*a*c*d^2*e^3*m^4 + 300*B*a*c*d^3*e^2*m^2 + 20*B*a*c*d^3*e^2*m^3))/(e^5*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))","B"
1488,1,1229,234,2.456511,"\text{Not used}","int((a + c*x^2)^2*(A + B*x)*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^2\,d^2\,e^4\,m^4-18\,B\,a^2\,d^2\,e^4\,m^3-119\,B\,a^2\,d^2\,e^4\,m^2-342\,B\,a^2\,d^2\,e^4\,m-360\,B\,a^2\,d^2\,e^4+A\,a^2\,d\,e^5\,m^5+20\,A\,a^2\,d\,e^5\,m^4+155\,A\,a^2\,d\,e^5\,m^3+580\,A\,a^2\,d\,e^5\,m^2+1044\,A\,a^2\,d\,e^5\,m+720\,A\,a^2\,d\,e^5-12\,B\,a\,c\,d^4\,e^2\,m^2-132\,B\,a\,c\,d^4\,e^2\,m-360\,B\,a\,c\,d^4\,e^2+4\,A\,a\,c\,d^3\,e^3\,m^3+60\,A\,a\,c\,d^3\,e^3\,m^2+296\,A\,a\,c\,d^3\,e^3\,m+480\,A\,a\,c\,d^3\,e^3-120\,B\,c^2\,d^6+24\,A\,c^2\,d^5\,e\,m+144\,A\,c^2\,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^2\,d\,e^5\,m^5+18\,B\,a^2\,d\,e^5\,m^4+119\,B\,a^2\,d\,e^5\,m^3+342\,B\,a^2\,d\,e^5\,m^2+360\,B\,a^2\,d\,e^5\,m+A\,a^2\,e^6\,m^5+20\,A\,a^2\,e^6\,m^4+155\,A\,a^2\,e^6\,m^3+580\,A\,a^2\,e^6\,m^2+1044\,A\,a^2\,e^6\,m+720\,A\,a^2\,e^6+12\,B\,a\,c\,d^3\,e^3\,m^3+132\,B\,a\,c\,d^3\,e^3\,m^2+360\,B\,a\,c\,d^3\,e^3\,m-4\,A\,a\,c\,d^2\,e^4\,m^4-60\,A\,a\,c\,d^2\,e^4\,m^3-296\,A\,a\,c\,d^2\,e^4\,m^2-480\,A\,a\,c\,d^2\,e^4\,m+120\,B\,c^2\,d^5\,e\,m-24\,A\,c^2\,d^4\,e^2\,m^2-144\,A\,c^2\,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^2\,e^4\,m^4+18\,B\,a^2\,e^4\,m^3+119\,B\,a^2\,e^4\,m^2+342\,B\,a^2\,e^4\,m+360\,B\,a^2\,e^4-6\,B\,a\,c\,d^2\,e^2\,m^3-66\,B\,a\,c\,d^2\,e^2\,m^2-180\,B\,a\,c\,d^2\,e^2\,m+2\,A\,a\,c\,d\,e^3\,m^4+30\,A\,a\,c\,d\,e^3\,m^3+148\,A\,a\,c\,d\,e^3\,m^2+240\,A\,a\,c\,d\,e^3\,m-60\,B\,c^2\,d^4\,m+12\,A\,c^2\,d^3\,e\,m^2+72\,A\,c^2\,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\,c^2\,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{c^2\,x^5\,{\left(d+e\,x\right)}^m\,\left(6\,A\,e+A\,e\,m+B\,d\,m\right)\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}{e\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{c\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(-5\,B\,c\,d^2\,m+A\,c\,d\,e\,m^2+6\,A\,c\,d\,e\,m+2\,B\,a\,e^2\,m^2+22\,B\,a\,e^2\,m+60\,B\,a\,e^2\right)}{e^2\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{2\,c\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(10\,B\,c\,d^3\,m-2\,A\,c\,d^2\,e\,m^2-12\,A\,c\,d^2\,e\,m+B\,a\,d\,e^2\,m^3+11\,B\,a\,d\,e^2\,m^2+30\,B\,a\,d\,e^2\,m+A\,a\,e^3\,m^3+15\,A\,a\,e^3\,m^2+74\,A\,a\,e^3\,m+120\,A\,a\,e^3\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^2*d*e^5 - 120*B*c^2*d^6 + 144*A*c^2*d^5*e - 360*B*a^2*d^2*e^4 + 580*A*a^2*d*e^5*m^2 + 155*A*a^2*d*e^5*m^3 + 20*A*a^2*d*e^5*m^4 + A*a^2*d*e^5*m^5 - 342*B*a^2*d^2*e^4*m - 119*B*a^2*d^2*e^4*m^2 - 18*B*a^2*d^2*e^4*m^3 - B*a^2*d^2*e^4*m^4 + 480*A*a*c*d^3*e^3 - 360*B*a*c*d^4*e^2 + 1044*A*a^2*d*e^5*m + 24*A*c^2*d^5*e*m + 296*A*a*c*d^3*e^3*m - 132*B*a*c*d^4*e^2*m + 60*A*a*c*d^3*e^3*m^2 + 4*A*a*c*d^3*e^3*m^3 - 12*B*a*c*d^4*e^2*m^2))/(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^2*e^6 + 1044*A*a^2*e^6*m + 580*A*a^2*e^6*m^2 + 155*A*a^2*e^6*m^3 + 20*A*a^2*e^6*m^4 + A*a^2*e^6*m^5 + 342*B*a^2*d*e^5*m^2 + 119*B*a^2*d*e^5*m^3 + 18*B*a^2*d*e^5*m^4 + B*a^2*d*e^5*m^5 - 144*A*c^2*d^4*e^2*m - 24*A*c^2*d^4*e^2*m^2 + 360*B*a^2*d*e^5*m + 120*B*c^2*d^5*e*m - 480*A*a*c*d^2*e^4*m + 360*B*a*c*d^3*e^3*m - 296*A*a*c*d^2*e^4*m^2 - 60*A*a*c*d^2*e^4*m^3 - 4*A*a*c*d^2*e^4*m^4 + 132*B*a*c*d^3*e^3*m^2 + 12*B*a*c*d^3*e^3*m^3))/(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^2*e^4 + 342*B*a^2*e^4*m - 60*B*c^2*d^4*m + 119*B*a^2*e^4*m^2 + 18*B*a^2*e^4*m^3 + B*a^2*e^4*m^4 + 12*A*c^2*d^3*e*m^2 + 72*A*c^2*d^3*e*m + 148*A*a*c*d*e^3*m^2 + 30*A*a*c*d*e^3*m^3 + 2*A*a*c*d*e^3*m^4 - 180*B*a*c*d^2*e^2*m - 66*B*a*c*d^2*e^2*m^2 - 6*B*a*c*d^2*e^2*m^3 + 240*A*a*c*d*e^3*m))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (B*c^2*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) + (c^2*x^5*(d + e*x)^m*(6*A*e + A*e*m + B*d*m)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (c*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(60*B*a*e^2 + 22*B*a*e^2*m - 5*B*c*d^2*m + 2*B*a*e^2*m^2 + 6*A*c*d*e*m + A*c*d*e*m^2))/(e^2*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (2*c*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(120*A*a*e^3 + 74*A*a*e^3*m + 10*B*c*d^3*m + 15*A*a*e^3*m^2 + A*a*e^3*m^3 + 30*B*a*d*e^2*m - 12*A*c*d^2*e*m + 11*B*a*d*e^2*m^2 + B*a*d*e^2*m^3 - 2*A*c*d^2*e*m^2))/(e^3*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
1489,1,446,126,2.036630,"\text{Not used}","int((a + c*x^2)*(A + B*x)*(d + e*x)^m,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-6\,B\,c\,d^4+2\,A\,c\,d^3\,e\,m+8\,A\,c\,d^3\,e-B\,a\,d^2\,e^2\,m^2-7\,B\,a\,d^2\,e^2\,m-12\,B\,a\,d^2\,e^2+A\,a\,d\,e^3\,m^3+9\,A\,a\,d\,e^3\,m^2+26\,A\,a\,d\,e^3\,m+24\,A\,a\,d\,e^3\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(6\,B\,c\,d^3\,e\,m-2\,A\,c\,d^2\,e^2\,m^2-8\,A\,c\,d^2\,e^2\,m+B\,a\,d\,e^3\,m^3+7\,B\,a\,d\,e^3\,m^2+12\,B\,a\,d\,e^3\,m+A\,a\,e^4\,m^3+9\,A\,a\,e^4\,m^2+26\,A\,a\,e^4\,m+24\,A\,a\,e^4\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(-3\,B\,c\,d^2\,m+A\,c\,d\,e\,m^2+4\,A\,c\,d\,e\,m+B\,a\,e^2\,m^2+7\,B\,a\,e^2\,m+12\,B\,a\,e^2\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{B\,c\,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{c\,x^3\,{\left(d+e\,x\right)}^m\,\left(4\,A\,e+A\,e\,m+B\,d\,m\right)\,\left(m^2+3\,m+2\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*d*e^3 - 6*B*c*d^4 + 8*A*c*d^3*e - 12*B*a*d^2*e^2 - B*a*d^2*e^2*m^2 + 26*A*a*d*e^3*m + 2*A*c*d^3*e*m + 9*A*a*d*e^3*m^2 + A*a*d*e^3*m^3 - 7*B*a*d^2*e^2*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x*(d + e*x)^m*(24*A*a*e^4 + 26*A*a*e^4*m + 9*A*a*e^4*m^2 + A*a*e^4*m^3 - 2*A*c*d^2*e^2*m^2 + 12*B*a*d*e^3*m + 6*B*c*d^3*e*m + 7*B*a*d*e^3*m^2 + B*a*d*e^3*m^3 - 8*A*c*d^2*e^2*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*e^2 + 7*B*a*e^2*m - 3*B*c*d^2*m + B*a*e^2*m^2 + 4*A*c*d*e*m + A*c*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (B*c*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) + (c*x^3*(d + e*x)^m*(4*A*e + A*e*m + B*d*m)*(3*m + m^2 + 2))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
1490,0,-1,202,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + c*x^2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{c\,x^2+a} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + c*x^2), x)","F"
1491,0,-1,361,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + c*x^2)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(c\,x^2+a\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + c*x^2)^2, x)","F"
1492,0,-1,202,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(m + 1))/(a + c*x^2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{m+1}}{c\,x^2+a} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(m + 1))/(a + c*x^2), x)","F"
1493,1,98,31,1.899258,"\text{Not used}","int(-((a*e - c*d*x)*(a + c*x^2)^p)/(d + e*x)^(2*p + 3),x)","\frac{\frac{a\,d\,{\left(c\,x^2+a\right)}^p}{2\,p+2}+\frac{a\,e\,x\,{\left(c\,x^2+a\right)}^p}{2\,p+2}+\frac{c\,d\,x^2\,{\left(c\,x^2+a\right)}^p}{2\,p+2}+\frac{c\,e\,x^3\,{\left(c\,x^2+a\right)}^p}{2\,p+2}}{{\left(d+e\,x\right)}^{2\,p+3}}","Not used",1,"((a*d*(a + c*x^2)^p)/(2*p + 2) + (a*e*x*(a + c*x^2)^p)/(2*p + 2) + (c*d*x^2*(a + c*x^2)^p)/(2*p + 2) + (c*e*x^3*(a + c*x^2)^p)/(2*p + 2))/(d + e*x)^(2*p + 3)","B"
1494,1,238,124,0.106740,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^4*(a + b*x + c*x^2),x)","x^5\,\left(\frac{4\,b^2\,d\,e^3}{5}+\frac{18\,b\,c\,d^2\,e^2}{5}+\frac{a\,b\,e^4}{5}+\frac{8\,c^2\,d^3\,e}{5}+\frac{8\,a\,c\,d\,e^3}{5}\right)+x^6\,\left(\frac{b^2\,e^4}{6}+2\,b\,c\,d\,e^3+2\,c^2\,d^2\,e^2+\frac{a\,c\,e^4}{3}\right)+x^4\,\left(\frac{3\,b^2\,d^2\,e^2}{2}+3\,b\,c\,d^3\,e+a\,b\,d\,e^3+\frac{c^2\,d^4}{2}+3\,a\,c\,d^2\,e^2\right)+x^2\,\left(\frac{b^2\,d^4}{2}+2\,a\,e\,b\,d^3+a\,c\,d^4\right)+x^3\,\left(\frac{4\,b^2\,d^3\,e}{3}+c\,b\,d^4+2\,a\,b\,d^2\,e^2+\frac{8\,a\,c\,d^3\,e}{3}\right)+\frac{c^2\,e^4\,x^8}{4}+\frac{c\,e^3\,x^7\,\left(3\,b\,e+8\,c\,d\right)}{7}+a\,b\,d^4\,x","Not used",1,"x^5*((4*b^2*d*e^3)/5 + (8*c^2*d^3*e)/5 + (a*b*e^4)/5 + (8*a*c*d*e^3)/5 + (18*b*c*d^2*e^2)/5) + x^6*((b^2*e^4)/6 + 2*c^2*d^2*e^2 + (a*c*e^4)/3 + 2*b*c*d*e^3) + x^4*((c^2*d^4)/2 + (3*b^2*d^2*e^2)/2 + a*b*d*e^3 + 3*b*c*d^3*e + 3*a*c*d^2*e^2) + x^2*((b^2*d^4)/2 + a*c*d^4 + 2*a*b*d^3*e) + x^3*((4*b^2*d^3*e)/3 + b*c*d^4 + (8*a*c*d^3*e)/3 + 2*a*b*d^2*e^2) + (c^2*e^4*x^8)/4 + (c*e^3*x^7*(3*b*e + 8*c*d))/7 + a*b*d^4*x","B"
1495,1,179,124,0.069911,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2),x)","x^4\,\left(\frac{3\,b^2\,d\,e^2}{4}+\frac{9\,b\,c\,d^2\,e}{4}+\frac{a\,b\,e^3}{4}+\frac{c^2\,d^3}{2}+\frac{3\,a\,c\,d\,e^2}{2}\right)+x^3\,\left(b^2\,d^2\,e+c\,b\,d^3+a\,b\,d\,e^2+2\,a\,c\,d^2\,e\right)+x^2\,\left(\frac{b^2\,d^3}{2}+\frac{3\,a\,e\,b\,d^2}{2}+a\,c\,d^3\right)+x^5\,\left(\frac{b^2\,e^3}{5}+\frac{9\,b\,c\,d\,e^2}{5}+\frac{6\,c^2\,d^2\,e}{5}+\frac{2\,a\,c\,e^3}{5}\right)+\frac{2\,c^2\,e^3\,x^7}{7}+\frac{c\,e^2\,x^6\,\left(b\,e+2\,c\,d\right)}{2}+a\,b\,d^3\,x","Not used",1,"x^4*((c^2*d^3)/2 + (3*b^2*d*e^2)/4 + (a*b*e^3)/4 + (3*a*c*d*e^2)/2 + (9*b*c*d^2*e)/4) + x^3*(b^2*d^2*e + b*c*d^3 + a*b*d*e^2 + 2*a*c*d^2*e) + x^2*((b^2*d^3)/2 + a*c*d^3 + (3*a*b*d^2*e)/2) + x^5*((b^2*e^3)/5 + (6*c^2*d^2*e)/5 + (2*a*c*e^3)/5 + (9*b*c*d*e^2)/5) + (2*c^2*e^3*x^7)/7 + (c*e^2*x^6*(b*e + 2*c*d))/2 + a*b*d^3*x","B"
1496,1,124,124,0.049362,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2),x)","x^4\,\left(\frac{b^2\,e^2}{4}+\frac{3\,b\,c\,d\,e}{2}+\frac{c^2\,d^2}{2}+\frac{a\,c\,e^2}{2}\right)+x^3\,\left(\frac{2\,b^2\,d\,e}{3}+c\,b\,d^2+\frac{a\,b\,e^2}{3}+\frac{4\,a\,c\,d\,e}{3}\right)+x^2\,\left(\frac{b^2\,d^2}{2}+a\,e\,b\,d+a\,c\,d^2\right)+\frac{c^2\,e^2\,x^6}{3}+a\,b\,d^2\,x+\frac{c\,e\,x^5\,\left(3\,b\,e+4\,c\,d\right)}{5}","Not used",1,"x^4*((b^2*e^2)/4 + (c^2*d^2)/2 + (a*c*e^2)/2 + (3*b*c*d*e)/2) + x^3*((a*b*e^2)/3 + b*c*d^2 + (2*b^2*d*e)/3 + (4*a*c*d*e)/3) + x^2*((b^2*d^2)/2 + a*c*d^2 + a*b*d*e) + (c^2*e^2*x^6)/3 + a*b*d^2*x + (c*e*x^5*(3*b*e + 4*c*d))/5","B"
1497,1,71,79,0.033077,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2),x)","x^2\,\left(\frac{d\,b^2}{2}+\frac{a\,e\,b}{2}+a\,c\,d\right)+x^3\,\left(\frac{e\,b^2}{3}+c\,d\,b+\frac{2\,a\,c\,e}{3}\right)+x^4\,\left(\frac{d\,c^2}{2}+\frac{3\,b\,e\,c}{4}\right)+\frac{2\,c^2\,e\,x^5}{5}+a\,b\,d\,x","Not used",1,"x^2*((b^2*d)/2 + (a*b*e)/2 + a*c*d) + x^3*((b^2*e)/3 + (2*a*c*e)/3 + b*c*d) + x^4*((c^2*d)/2 + (3*b*c*e)/4) + (2*c^2*e*x^5)/5 + a*b*d*x","B"
1498,1,32,16,0.039885,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2),x)","x^2\,\left(\frac{b^2}{2}+a\,c\right)+\frac{c^2\,x^4}{2}+a\,b\,x+b\,c\,x^3","Not used",1,"x^2*(a*c + b^2/2) + (c^2*x^4)/2 + a*b*x + b*c*x^3","B"
1499,1,121,104,1.781582,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x),x)","x\,\left(\frac{b^2+2\,a\,c}{e}+\frac{d\,\left(\frac{2\,c^2\,d}{e^2}-\frac{3\,b\,c}{e}\right)}{e}\right)-x^2\,\left(\frac{c^2\,d}{e^2}-\frac{3\,b\,c}{2\,e}\right)-\frac{\ln\left(d+e\,x\right)\,\left(b^2\,d\,e^2-3\,b\,c\,d^2\,e-a\,b\,e^3+2\,c^2\,d^3+2\,a\,c\,d\,e^2\right)}{e^4}+\frac{2\,c^2\,x^3}{3\,e}","Not used",1,"x*((2*a*c + b^2)/e + (d*((2*c^2*d)/e^2 - (3*b*c)/e))/e) - x^2*((c^2*d)/e^2 - (3*b*c)/(2*e)) - (log(d + e*x)*(2*c^2*d^3 + b^2*d*e^2 - a*b*e^3 + 2*a*c*d*e^2 - 3*b*c*d^2*e))/e^4 + (2*c^2*x^3)/(3*e)","B"
1500,1,127,102,0.073020,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^2,x)","\frac{b^2\,d\,e^2-3\,b\,c\,d^2\,e-a\,b\,e^3+2\,c^2\,d^3+2\,a\,c\,d\,e^2}{e\,\left(x\,e^4+d\,e^3\right)}-x\,\left(\frac{4\,c^2\,d}{e^3}-\frac{3\,b\,c}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)}{e^4}+\frac{c^2\,x^2}{e^2}","Not used",1,"(2*c^2*d^3 + b^2*d*e^2 - a*b*e^3 + 2*a*c*d*e^2 - 3*b*c*d^2*e)/(e*(d*e^3 + e^4*x)) - x*((4*c^2*d)/e^3 - (3*b*c)/e^2) + (log(d + e*x)*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e))/e^4 + (c^2*x^2)/e^2","B"
1501,1,135,111,0.113531,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^3,x)","\frac{2\,c^2\,x}{e^3}-\frac{\frac{b^2\,d\,e^2-9\,b\,c\,d^2\,e+a\,b\,e^3+10\,c^2\,d^3+2\,a\,c\,d\,e^2}{2\,e}+x\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}-\frac{\ln\left(d+e\,x\right)\,\left(6\,c^2\,d-3\,b\,c\,e\right)}{e^4}","Not used",1,"(2*c^2*x)/e^3 - ((10*c^2*d^3 + b^2*d*e^2 + a*b*e^3 + 2*a*c*d*e^2 - 9*b*c*d^2*e)/(2*e) + x*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) - (log(d + e*x)*(6*c^2*d - 3*b*c*e))/e^4","B"
1502,1,144,119,1.834670,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^4,x)","\frac{2\,c^2\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{b^2\,d\,e^2+6\,b\,c\,d^2\,e+2\,a\,b\,e^3-22\,c^2\,d^3+2\,a\,c\,d\,e^2}{6\,e^4}+\frac{x\,\left(b^2\,e^2+6\,b\,c\,d\,e-18\,c^2\,d^2+2\,a\,c\,e^2\right)}{2\,e^3}+\frac{3\,c\,x^2\,\left(b\,e-2\,c\,d\right)}{e^2}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"(2*c^2*log(d + e*x))/e^4 - ((b^2*d*e^2 - 22*c^2*d^3 + 2*a*b*e^3 + 2*a*c*d*e^2 + 6*b*c*d^2*e)/(6*e^4) + (x*(b^2*e^2 - 18*c^2*d^2 + 2*a*c*e^2 + 6*b*c*d*e))/(2*e^3) + (3*c*x^2*(b*e - 2*c*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1503,1,151,122,1.811176,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^5,x)","-\frac{\frac{b^2\,d\,e^2+3\,b\,c\,d^2\,e+3\,a\,b\,e^3+6\,c^2\,d^3+2\,a\,c\,d\,e^2}{12\,e^4}+\frac{x\,\left(b^2\,e^2+3\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)}{3\,e^3}+\frac{2\,c^2\,x^3}{e}+\frac{3\,c\,x^2\,\left(b\,e+2\,c\,d\right)}{2\,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,"-((6*c^2*d^3 + b^2*d*e^2 + 3*a*b*e^3 + 2*a*c*d*e^2 + 3*b*c*d^2*e)/(12*e^4) + (x*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 + 3*b*c*d*e))/(3*e^3) + (2*c^2*x^3)/e + (3*c*x^2*(b*e + 2*c*d))/(2*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"
1504,1,454,240,1.884183,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^4*(a + b*x + c*x^2)^2,x)","x^3\,\left(2\,a^2\,b\,d^2\,e^2+\frac{8\,c\,a^2\,d^3\,e}{3}+\frac{8\,a\,b^2\,d^3\,e}{3}+2\,c\,a\,b\,d^4+\frac{b^3\,d^4}{3}\right)+x^7\,\left(\frac{b^3\,e^4}{7}+\frac{16\,b^2\,c\,d\,e^3}{7}+\frac{30\,b\,c^2\,d^2\,e^2}{7}+\frac{6\,a\,b\,c\,e^4}{7}+\frac{8\,c^3\,d^3\,e}{7}+\frac{16\,a\,c^2\,d\,e^3}{7}\right)+x^5\,\left(\frac{a^2\,b\,e^4}{5}+\frac{8\,a^2\,c\,d\,e^3}{5}+\frac{8\,a\,b^2\,d\,e^3}{5}+\frac{36\,a\,b\,c\,d^2\,e^2}{5}+\frac{16\,a\,c^2\,d^3\,e}{5}+\frac{6\,b^3\,d^2\,e^2}{5}+\frac{16\,b^2\,c\,d^3\,e}{5}+b\,c^2\,d^4\right)+x^6\,\left(\frac{a^2\,c\,e^4}{3}+\frac{a\,b^2\,e^4}{3}+4\,a\,b\,c\,d\,e^3+4\,a\,c^2\,d^2\,e^2+\frac{2\,b^3\,d\,e^3}{3}+4\,b^2\,c\,d^2\,e^2+\frac{10\,b\,c^2\,d^3\,e}{3}+\frac{c^3\,d^4}{3}\right)+x^4\,\left(a^2\,b\,d\,e^3+3\,a^2\,c\,d^2\,e^2+3\,a\,b^2\,d^2\,e^2+6\,a\,b\,c\,d^3\,e+a\,c^2\,d^4+b^3\,d^3\,e+b^2\,c\,d^4\right)+\frac{c^3\,e^4\,x^{10}}{5}+a\,d^3\,x^2\,\left(d\,b^2+2\,a\,e\,b+a\,c\,d\right)+\frac{c\,e^2\,x^8\,\left(b^2\,e^2+5\,b\,c\,d\,e+3\,c^2\,d^2+a\,c\,e^2\right)}{2}+\frac{c^2\,e^3\,x^9\,\left(5\,b\,e+8\,c\,d\right)}{9}+a^2\,b\,d^4\,x","Not used",1,"x^3*((b^3*d^4)/3 + 2*a^2*b*d^2*e^2 + 2*a*b*c*d^4 + (8*a*b^2*d^3*e)/3 + (8*a^2*c*d^3*e)/3) + x^7*((b^3*e^4)/7 + (8*c^3*d^3*e)/7 + (30*b*c^2*d^2*e^2)/7 + (6*a*b*c*e^4)/7 + (16*a*c^2*d*e^3)/7 + (16*b^2*c*d*e^3)/7) + x^5*((a^2*b*e^4)/5 + b*c^2*d^4 + (6*b^3*d^2*e^2)/5 + (8*a*b^2*d*e^3)/5 + (16*a*c^2*d^3*e)/5 + (8*a^2*c*d*e^3)/5 + (16*b^2*c*d^3*e)/5 + (36*a*b*c*d^2*e^2)/5) + x^6*((c^3*d^4)/3 + (a*b^2*e^4)/3 + (a^2*c*e^4)/3 + (2*b^3*d*e^3)/3 + 4*a*c^2*d^2*e^2 + 4*b^2*c*d^2*e^2 + (10*b*c^2*d^3*e)/3 + 4*a*b*c*d*e^3) + x^4*(a*c^2*d^4 + b^2*c*d^4 + b^3*d^3*e + 3*a*b^2*d^2*e^2 + 3*a^2*c*d^2*e^2 + a^2*b*d*e^3 + 6*a*b*c*d^3*e) + (c^3*e^4*x^10)/5 + a*d^3*x^2*(b^2*d + 2*a*b*e + a*c*d) + (c*e^2*x^8*(b^2*e^2 + 3*c^2*d^2 + a*c*e^2 + 5*b*c*d*e))/2 + (c^2*e^3*x^9*(5*b*e + 8*c*d))/9 + a^2*b*d^4*x","B"
1505,1,349,240,0.111438,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^2,x)","x^6\,\left(\frac{b^3\,e^3}{6}+2\,b^2\,c\,d\,e^2+\frac{5\,b\,c^2\,d^2\,e}{2}+a\,b\,c\,e^3+\frac{c^3\,d^3}{3}+2\,a\,c^2\,d\,e^2\right)+x^4\,\left(\frac{a^2\,b\,e^3}{4}+\frac{3\,a^2\,c\,d\,e^2}{2}+\frac{3\,a\,b^2\,d\,e^2}{2}+\frac{9\,a\,b\,c\,d^2\,e}{2}+a\,c^2\,d^3+\frac{3\,b^3\,d^2\,e}{4}+b^2\,c\,d^3\right)+x^5\,\left(\frac{2\,a^2\,c\,e^3}{5}+\frac{2\,a\,b^2\,e^3}{5}+\frac{18\,a\,b\,c\,d\,e^2}{5}+\frac{12\,a\,c^2\,d^2\,e}{5}+\frac{3\,b^3\,d\,e^2}{5}+\frac{12\,b^2\,c\,d^2\,e}{5}+b\,c^2\,d^3\right)+x^3\,\left(a^2\,b\,d\,e^2+2\,c\,a^2\,d^2\,e+2\,a\,b^2\,d^2\,e+2\,c\,a\,b\,d^3+\frac{b^3\,d^3}{3}\right)+\frac{2\,c^3\,e^3\,x^9}{9}+\frac{a\,d^2\,x^2\,\left(2\,d\,b^2+3\,a\,e\,b+2\,a\,c\,d\right)}{2}+\frac{c^2\,e^2\,x^8\,\left(5\,b\,e+6\,c\,d\right)}{8}+a^2\,b\,d^3\,x+\frac{c\,e\,x^7\,\left(4\,b^2\,e^2+15\,b\,c\,d\,e+6\,c^2\,d^2+4\,a\,c\,e^2\right)}{7}","Not used",1,"x^6*((b^3*e^3)/6 + (c^3*d^3)/3 + a*b*c*e^3 + 2*a*c^2*d*e^2 + (5*b*c^2*d^2*e)/2 + 2*b^2*c*d*e^2) + x^4*(a*c^2*d^3 + (a^2*b*e^3)/4 + b^2*c*d^3 + (3*b^3*d^2*e)/4 + (3*a*b^2*d*e^2)/2 + (3*a^2*c*d*e^2)/2 + (9*a*b*c*d^2*e)/2) + x^5*((2*a*b^2*e^3)/5 + b*c^2*d^3 + (2*a^2*c*e^3)/5 + (3*b^3*d*e^2)/5 + (12*a*c^2*d^2*e)/5 + (12*b^2*c*d^2*e)/5 + (18*a*b*c*d*e^2)/5) + x^3*((b^3*d^3)/3 + 2*a*b*c*d^3 + 2*a*b^2*d^2*e + a^2*b*d*e^2 + 2*a^2*c*d^2*e) + (2*c^3*e^3*x^9)/9 + (a*d^2*x^2*(2*b^2*d + 3*a*b*e + 2*a*c*d))/2 + (c^2*e^2*x^8*(5*b*e + 6*c*d))/8 + a^2*b*d^3*x + (c*e*x^7*(4*b^2*e^2 + 6*c^2*d^2 + 4*a*c*e^2 + 15*b*c*d*e))/7","B"
1506,1,242,240,1.832911,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^2,x)","x^6\,\left(\frac{2\,b^2\,c\,e^2}{3}+\frac{5\,b\,c^2\,d\,e}{3}+\frac{c^3\,d^2}{3}+\frac{2\,a\,c^2\,e^2}{3}\right)+x^3\,\left(\frac{a^2\,b\,e^2}{3}+\frac{4\,c\,a^2\,d\,e}{3}+\frac{4\,a\,b^2\,d\,e}{3}+2\,c\,a\,b\,d^2+\frac{b^3\,d^2}{3}\right)+x^5\,\left(\frac{b^3\,e^2}{5}+\frac{8\,b^2\,c\,d\,e}{5}+b\,c^2\,d^2+\frac{6\,a\,b\,c\,e^2}{5}+\frac{8\,a\,c^2\,d\,e}{5}\right)+x^4\,\left(\frac{a^2\,c\,e^2}{2}+\frac{a\,b^2\,e^2}{2}+3\,a\,b\,c\,d\,e+a\,c^2\,d^2+\frac{b^3\,d\,e}{2}+b^2\,c\,d^2\right)+\frac{c^3\,e^2\,x^8}{4}+\frac{c^2\,e\,x^7\,\left(5\,b\,e+4\,c\,d\right)}{7}+a^2\,b\,d^2\,x+a\,d\,x^2\,\left(d\,b^2+a\,e\,b+a\,c\,d\right)","Not used",1,"x^6*((c^3*d^2)/3 + (2*a*c^2*e^2)/3 + (2*b^2*c*e^2)/3 + (5*b*c^2*d*e)/3) + x^3*((b^3*d^2)/3 + (a^2*b*e^2)/3 + 2*a*b*c*d^2 + (4*a*b^2*d*e)/3 + (4*a^2*c*d*e)/3) + x^5*((b^3*e^2)/5 + b*c^2*d^2 + (6*a*b*c*e^2)/5 + (8*a*c^2*d*e)/5 + (8*b^2*c*d*e)/5) + x^4*((a*b^2*e^2)/2 + a*c^2*d^2 + (a^2*c*e^2)/2 + b^2*c*d^2 + (b^3*d*e)/2 + 3*a*b*c*d*e) + (c^3*e^2*x^8)/4 + (c^2*e*x^7*(5*b*e + 4*c*d))/7 + a^2*b*d^2*x + a*d*x^2*(b^2*d + a*b*e + a*c*d)","B"
1507,1,144,153,0.062466,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^2,x)","x^6\,\left(\frac{d\,c^3}{3}+\frac{5\,b\,e\,c^2}{6}\right)+x^2\,\left(\frac{e\,a^2\,b}{2}+c\,d\,a^2+d\,a\,b^2\right)+x^5\,\left(\frac{4\,e\,b^2\,c}{5}+d\,b\,c^2+\frac{4\,a\,e\,c^2}{5}\right)+x^3\,\left(\frac{2\,c\,e\,a^2}{3}+\frac{2\,e\,a\,b^2}{3}+2\,c\,d\,a\,b+\frac{d\,b^3}{3}\right)+x^4\,\left(\frac{e\,b^3}{4}+d\,b^2\,c+\frac{3\,a\,e\,b\,c}{2}+a\,d\,c^2\right)+\frac{2\,c^3\,e\,x^7}{7}+a^2\,b\,d\,x","Not used",1,"x^6*((c^3*d)/3 + (5*b*c^2*e)/6) + x^2*(a*b^2*d + (a^2*b*e)/2 + a^2*c*d) + x^5*((4*a*c^2*e)/5 + b*c^2*d + (4*b^2*c*e)/5) + x^3*((b^3*d)/3 + (2*a*b^2*e)/3 + (2*a^2*c*e)/3 + 2*a*b*c*d) + x^4*((b^3*e)/4 + a*c^2*d + b^2*c*d + (3*a*b*c*e)/2) + (2*c^3*e*x^7)/7 + a^2*b*d*x","B"
1508,1,62,16,0.033226,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2)^2,x)","x^3\,\left(\frac{b^3}{3}+2\,a\,c\,b\right)+\frac{c^3\,x^6}{3}+b\,c^2\,x^5+a\,x^2\,\left(b^2+a\,c\right)+c\,x^4\,\left(b^2+a\,c\right)+a^2\,b\,x","Not used",1,"x^3*(b^3/3 + 2*a*b*c) + (c^3*x^6)/3 + b*c^2*x^5 + a*x^2*(a*c + b^2) + c*x^4*(a*c + b^2) + a^2*b*x","B"
1509,1,326,229,1.805415,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x),x)","x^4\,\left(\frac{5\,b\,c^2}{4\,e}-\frac{c^3\,d}{2\,e^2}\right)+x^2\,\left(\frac{b^3+6\,a\,c\,b}{2\,e}+\frac{d\,\left(\frac{d\,\left(\frac{5\,b\,c^2}{e}-\frac{2\,c^3\,d}{e^2}\right)}{e}-\frac{4\,c\,\left(b^2+a\,c\right)}{e}\right)}{2\,e}\right)-x^3\,\left(\frac{d\,\left(\frac{5\,b\,c^2}{e}-\frac{2\,c^3\,d}{e^2}\right)}{3\,e}-\frac{4\,c\,\left(b^2+a\,c\right)}{3\,e}\right)+x\,\left(\frac{2\,a\,\left(b^2+a\,c\right)}{e}-\frac{d\,\left(\frac{b^3+6\,a\,c\,b}{e}+\frac{d\,\left(\frac{d\,\left(\frac{5\,b\,c^2}{e}-\frac{2\,c^3\,d}{e^2}\right)}{e}-\frac{4\,c\,\left(b^2+a\,c\right)}{e}\right)}{e}\right)}{e}\right)+\frac{2\,c^3\,x^5}{5\,e}-\frac{\ln\left(d+e\,x\right)\,\left(-a^2\,b\,e^5+2\,a^2\,c\,d\,e^4+2\,a\,b^2\,d\,e^4-6\,a\,b\,c\,d^2\,e^3+4\,a\,c^2\,d^3\,e^2-b^3\,d^2\,e^3+4\,b^2\,c\,d^3\,e^2-5\,b\,c^2\,d^4\,e+2\,c^3\,d^5\right)}{e^6}","Not used",1,"x^4*((5*b*c^2)/(4*e) - (c^3*d)/(2*e^2)) + x^2*((b^3 + 6*a*b*c)/(2*e) + (d*((d*((5*b*c^2)/e - (2*c^3*d)/e^2))/e - (4*c*(a*c + b^2))/e))/(2*e)) - x^3*((d*((5*b*c^2)/e - (2*c^3*d)/e^2))/(3*e) - (4*c*(a*c + b^2))/(3*e)) + x*((2*a*(a*c + b^2))/e - (d*((b^3 + 6*a*b*c)/e + (d*((d*((5*b*c^2)/e - (2*c^3*d)/e^2))/e - (4*c*(a*c + b^2))/e))/e))/e) + (2*c^3*x^5)/(5*e) - (log(d + e*x)*(2*c^3*d^5 - a^2*b*e^5 - b^3*d^2*e^3 + 4*a*c^2*d^3*e^2 + 4*b^2*c*d^3*e^2 + 2*a*b^2*d*e^4 + 2*a^2*c*d*e^4 - 5*b*c^2*d^4*e - 6*a*b*c*d^2*e^3))/e^6","B"
1510,1,387,223,1.840669,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^2,x)","x^3\,\left(\frac{5\,b\,c^2}{3\,e^2}-\frac{4\,c^3\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{5\,b\,c^2}{e^2}-\frac{4\,c^3\,d}{e^3}\right)}{e}+\frac{c^3\,d^2}{e^4}-\frac{2\,c\,\left(b^2+a\,c\right)}{e^2}\right)+x\,\left(\frac{b^3+6\,a\,c\,b}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{5\,b\,c^2}{e^2}-\frac{4\,c^3\,d}{e^3}\right)}{e}+\frac{2\,c^3\,d^2}{e^4}-\frac{4\,c\,\left(b^2+a\,c\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{5\,b\,c^2}{e^2}-\frac{4\,c^3\,d}{e^3}\right)}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(2\,a^2\,c\,e^4+2\,a\,b^2\,e^4-12\,a\,b\,c\,d\,e^3+12\,a\,c^2\,d^2\,e^2-2\,b^3\,d\,e^3+12\,b^2\,c\,d^2\,e^2-20\,b\,c^2\,d^3\,e+10\,c^3\,d^4\right)}{e^6}+\frac{-a^2\,b\,e^5+2\,a^2\,c\,d\,e^4+2\,a\,b^2\,d\,e^4-6\,a\,b\,c\,d^2\,e^3+4\,a\,c^2\,d^3\,e^2-b^3\,d^2\,e^3+4\,b^2\,c\,d^3\,e^2-5\,b\,c^2\,d^4\,e+2\,c^3\,d^5}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{c^3\,x^4}{2\,e^2}","Not used",1,"x^3*((5*b*c^2)/(3*e^2) - (4*c^3*d)/(3*e^3)) - x^2*((d*((5*b*c^2)/e^2 - (4*c^3*d)/e^3))/e + (c^3*d^2)/e^4 - (2*c*(a*c + b^2))/e^2) + x*((b^3 + 6*a*b*c)/e^2 + (2*d*((2*d*((5*b*c^2)/e^2 - (4*c^3*d)/e^3))/e + (2*c^3*d^2)/e^4 - (4*c*(a*c + b^2))/e^2))/e - (d^2*((5*b*c^2)/e^2 - (4*c^3*d)/e^3))/e^2) + (log(d + e*x)*(10*c^3*d^4 + 2*a*b^2*e^4 + 2*a^2*c*e^4 - 2*b^3*d*e^3 + 12*a*c^2*d^2*e^2 + 12*b^2*c*d^2*e^2 - 20*b*c^2*d^3*e - 12*a*b*c*d*e^3))/e^6 + (2*c^3*d^5 - a^2*b*e^5 - b^3*d^2*e^3 + 4*a*c^2*d^3*e^2 + 4*b^2*c*d^3*e^2 + 2*a*b^2*d*e^4 + 2*a^2*c*d*e^4 - 5*b*c^2*d^4*e - 6*a*b*c*d^2*e^3)/(e*(d*e^5 + e^6*x)) + (c^3*x^4)/(2*e^2)","B"
1511,1,358,219,1.842196,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^3,x)","x^2\,\left(\frac{5\,b\,c^2}{2\,e^3}-\frac{3\,c^3\,d}{e^4}\right)-x\,\left(\frac{3\,d\,\left(\frac{5\,b\,c^2}{e^3}-\frac{6\,c^3\,d}{e^4}\right)}{e}+\frac{6\,c^3\,d^2}{e^5}-\frac{4\,c\,\left(b^2+a\,c\right)}{e^3}\right)-\frac{x\,\left(2\,a^2\,c\,e^4+2\,a\,b^2\,e^4-12\,a\,b\,c\,d\,e^3+12\,a\,c^2\,d^2\,e^2-2\,b^3\,d\,e^3+12\,b^2\,c\,d^2\,e^2-20\,b\,c^2\,d^3\,e+10\,c^3\,d^4\right)+\frac{a^2\,b\,e^5+2\,a^2\,c\,d\,e^4+2\,a\,b^2\,d\,e^4-18\,a\,b\,c\,d^2\,e^3+20\,a\,c^2\,d^3\,e^2-3\,b^3\,d^2\,e^3+20\,b^2\,c\,d^3\,e^2-35\,b\,c^2\,d^4\,e+18\,c^3\,d^5}{2\,e}}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(b^3\,e^3-12\,b^2\,c\,d\,e^2+30\,b\,c^2\,d^2\,e+6\,a\,b\,c\,e^3-20\,c^3\,d^3-12\,a\,c^2\,d\,e^2\right)}{e^6}+\frac{2\,c^3\,x^3}{3\,e^3}","Not used",1,"x^2*((5*b*c^2)/(2*e^3) - (3*c^3*d)/e^4) - x*((3*d*((5*b*c^2)/e^3 - (6*c^3*d)/e^4))/e + (6*c^3*d^2)/e^5 - (4*c*(a*c + b^2))/e^3) - (x*(10*c^3*d^4 + 2*a*b^2*e^4 + 2*a^2*c*e^4 - 2*b^3*d*e^3 + 12*a*c^2*d^2*e^2 + 12*b^2*c*d^2*e^2 - 20*b*c^2*d^3*e - 12*a*b*c*d*e^3) + (18*c^3*d^5 + a^2*b*e^5 - 3*b^3*d^2*e^3 + 20*a*c^2*d^3*e^2 + 20*b^2*c*d^3*e^2 + 2*a*b^2*d*e^4 + 2*a^2*c*d*e^4 - 35*b*c^2*d^4*e - 18*a*b*c*d^2*e^3)/(2*e))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) + (log(d + e*x)*(b^3*e^3 - 20*c^3*d^3 + 6*a*b*c*e^3 - 12*a*c^2*d*e^2 + 30*b*c^2*d^2*e - 12*b^2*c*d*e^2))/e^6 + (2*c^3*x^3)/(3*e^3)","B"
1512,1,349,217,1.855720,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^4,x)","x\,\left(\frac{5\,b\,c^2}{e^4}-\frac{8\,c^3\,d}{e^5}\right)-\frac{x\,\left(a^2\,c\,e^4+a\,b^2\,e^4+6\,a\,b\,c\,d\,e^3-18\,a\,c^2\,d^2\,e^2+b^3\,d\,e^3-18\,b^2\,c\,d^2\,e^2+50\,b\,c^2\,d^3\,e-35\,c^3\,d^4\right)+x^2\,\left(b^3\,e^4-12\,b^2\,c\,d\,e^3+30\,b\,c^2\,d^2\,e^2+6\,a\,b\,c\,e^4-20\,c^3\,d^3\,e-12\,a\,c^2\,d\,e^3\right)+\frac{a^2\,b\,e^5+a^2\,c\,d\,e^4+a\,b^2\,d\,e^4+6\,a\,b\,c\,d^2\,e^3-22\,a\,c^2\,d^3\,e^2+b^3\,d^2\,e^3-22\,b^2\,c\,d^3\,e^2+65\,b\,c^2\,d^4\,e-47\,c^3\,d^5}{3\,e}}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(4\,b^2\,c\,e^2-20\,b\,c^2\,d\,e+20\,c^3\,d^2+4\,a\,c^2\,e^2\right)}{e^6}+\frac{c^3\,x^2}{e^4}","Not used",1,"x*((5*b*c^2)/e^4 - (8*c^3*d)/e^5) - (x*(a*b^2*e^4 - 35*c^3*d^4 + a^2*c*e^4 + b^3*d*e^3 - 18*a*c^2*d^2*e^2 - 18*b^2*c*d^2*e^2 + 50*b*c^2*d^3*e + 6*a*b*c*d*e^3) + x^2*(b^3*e^4 - 20*c^3*d^3*e + 30*b*c^2*d^2*e^2 + 6*a*b*c*e^4 - 12*a*c^2*d*e^3 - 12*b^2*c*d*e^3) + (a^2*b*e^5 - 47*c^3*d^5 + b^3*d^2*e^3 - 22*a*c^2*d^3*e^2 - 22*b^2*c*d^3*e^2 + a*b^2*d*e^4 + a^2*c*d*e^4 + 65*b*c^2*d^4*e + 6*a*b*c*d^2*e^3)/(3*e))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (log(d + e*x)*(20*c^3*d^2 + 4*a*c^2*e^2 + 4*b^2*c*e^2 - 20*b*c^2*d*e))/e^6 + (c^3*x^2)/e^4","B"
1513,1,369,227,1.918189,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^5,x)","\frac{2\,c^3\,x}{e^5}-\frac{x\,\left(\frac{2\,a^2\,c\,e^4}{3}+\frac{2\,a\,b^2\,e^4}{3}+2\,a\,b\,c\,d\,e^3+4\,a\,c^2\,d^2\,e^2+\frac{b^3\,d\,e^3}{3}+4\,b^2\,c\,d^2\,e^2-\frac{110\,b\,c^2\,d^3\,e}{3}+\frac{130\,c^3\,d^4}{3}\right)+x^2\,\left(\frac{b^3\,e^4}{2}+6\,b^2\,c\,d\,e^3-45\,b\,c^2\,d^2\,e^2+3\,a\,b\,c\,e^4+50\,c^3\,d^3\,e+6\,a\,c^2\,d\,e^3\right)+x^3\,\left(4\,b^2\,c\,e^4-20\,b\,c^2\,d\,e^3+20\,c^3\,d^2\,e^2+4\,a\,c^2\,e^4\right)+\frac{3\,a^2\,b\,e^5+2\,a^2\,c\,d\,e^4+2\,a\,b^2\,d\,e^4+6\,a\,b\,c\,d^2\,e^3+12\,a\,c^2\,d^3\,e^2+b^3\,d^2\,e^3+12\,b^2\,c\,d^3\,e^2-125\,b\,c^2\,d^4\,e+154\,c^3\,d^5}{12\,e}}{d^4\,e^5+4\,d^3\,e^6\,x+6\,d^2\,e^7\,x^2+4\,d\,e^8\,x^3+e^9\,x^4}-\frac{\ln\left(d+e\,x\right)\,\left(10\,c^3\,d-5\,b\,c^2\,e\right)}{e^6}","Not used",1,"(2*c^3*x)/e^5 - (x*((130*c^3*d^4)/3 + (2*a*b^2*e^4)/3 + (2*a^2*c*e^4)/3 + (b^3*d*e^3)/3 + 4*a*c^2*d^2*e^2 + 4*b^2*c*d^2*e^2 - (110*b*c^2*d^3*e)/3 + 2*a*b*c*d*e^3) + x^2*((b^3*e^4)/2 + 50*c^3*d^3*e - 45*b*c^2*d^2*e^2 + 3*a*b*c*e^4 + 6*a*c^2*d*e^3 + 6*b^2*c*d*e^3) + x^3*(4*a*c^2*e^4 + 4*b^2*c*e^4 + 20*c^3*d^2*e^2 - 20*b*c^2*d*e^3) + (154*c^3*d^5 + 3*a^2*b*e^5 + b^3*d^2*e^3 + 12*a*c^2*d^3*e^2 + 12*b^2*c*d^3*e^2 + 2*a*b^2*d*e^4 + 2*a^2*c*d*e^4 - 125*b*c^2*d^4*e + 6*a*b*c*d^2*e^3)/(12*e))/(d^4*e^5 + e^9*x^4 + 4*d^3*e^6*x + 4*d*e^8*x^3 + 6*d^2*e^7*x^2) - (log(d + e*x)*(10*c^3*d - 5*b*c^2*e))/e^6","B"
1514,1,768,411,0.235943,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^4*(a + b*x + c*x^2)^3,x)","x^3\,\left(2\,a^3\,b\,d^2\,e^2+\frac{8\,c\,a^3\,d^3\,e}{3}+4\,a^2\,b^2\,d^3\,e+3\,c\,a^2\,b\,d^4+a\,b^3\,d^4\right)+x^5\,\left(\frac{a^3\,b\,e^4}{5}+\frac{8\,a^3\,c\,d\,e^3}{5}+\frac{12\,a^2\,b^2\,d\,e^3}{5}+\frac{54\,a^2\,b\,c\,d^2\,e^2}{5}+\frac{24\,a^2\,c^2\,d^3\,e}{5}+\frac{18\,a\,b^3\,d^2\,e^2}{5}+\frac{48\,a\,b^2\,c\,d^3\,e}{5}+3\,a\,b\,c^2\,d^4+\frac{4\,b^4\,d^3\,e}{5}+b^3\,c\,d^4\right)+x^7\,\left(\frac{9\,a^2\,b\,c\,e^4}{7}+\frac{24\,a^2\,c^2\,d\,e^3}{7}+\frac{3\,a\,b^3\,e^4}{7}+\frac{48\,a\,b^2\,c\,d\,e^3}{7}+\frac{90\,a\,b\,c^2\,d^2\,e^2}{7}+\frac{24\,a\,c^3\,d^3\,e}{7}+\frac{4\,b^4\,d\,e^3}{7}+\frac{30\,b^3\,c\,d^2\,e^2}{7}+\frac{36\,b^2\,c^2\,d^3\,e}{7}+b\,c^3\,d^4\right)+x^6\,\left(\frac{a^3\,c\,e^4}{3}+\frac{a^2\,b^2\,e^4}{2}+6\,a^2\,b\,c\,d\,e^3+6\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+12\,a\,b^2\,c\,d^2\,e^2+10\,a\,b\,c^2\,d^3\,e+a\,c^3\,d^4+b^4\,d^2\,e^2+\frac{10\,b^3\,c\,d^3\,e}{3}+\frac{3\,b^2\,c^2\,d^4}{2}\right)+x^8\,\left(\frac{3\,a^2\,c^2\,e^4}{4}+\frac{3\,a\,b^2\,c\,e^4}{2}+\frac{15\,a\,b\,c^2\,d\,e^3}{2}+\frac{9\,a\,c^3\,d^2\,e^2}{2}+\frac{b^4\,e^4}{8}+\frac{5\,b^3\,c\,d\,e^3}{2}+\frac{27\,b^2\,c^2\,d^2\,e^2}{4}+\frac{7\,b\,c^3\,d^3\,e}{2}+\frac{c^4\,d^4}{4}\right)+x^9\,\left(\frac{5\,b^3\,c\,e^4}{9}+4\,b^2\,c^2\,d\,e^3+\frac{14\,b\,c^3\,d^2\,e^2}{3}+\frac{5\,a\,b\,c^2\,e^4}{3}+\frac{8\,c^4\,d^3\,e}{9}+\frac{8\,a\,c^3\,d\,e^3}{3}\right)+x^4\,\left(a^3\,b\,d\,e^3+3\,a^3\,c\,d^2\,e^2+\frac{9\,a^2\,b^2\,d^2\,e^2}{2}+9\,a^2\,b\,c\,d^3\,e+\frac{3\,a^2\,c^2\,d^4}{2}+3\,a\,b^3\,d^3\,e+3\,a\,b^2\,c\,d^4+\frac{b^4\,d^4}{4}\right)+\frac{c^4\,e^4\,x^{12}}{6}+\frac{c^3\,e^3\,x^{11}\,\left(7\,b\,e+8\,c\,d\right)}{11}+\frac{a^2\,d^3\,x^2\,\left(3\,d\,b^2+4\,a\,e\,b+2\,a\,c\,d\right)}{2}+\frac{c^2\,e^2\,x^{10}\,\left(9\,b^2\,e^2+28\,b\,c\,d\,e+12\,c^2\,d^2+6\,a\,c\,e^2\right)}{10}+a^3\,b\,d^4\,x","Not used",1,"x^3*(a*b^3*d^4 + 4*a^2*b^2*d^3*e + 2*a^3*b*d^2*e^2 + 3*a^2*b*c*d^4 + (8*a^3*c*d^3*e)/3) + x^5*((a^3*b*e^4)/5 + b^3*c*d^4 + (4*b^4*d^3*e)/5 + (18*a*b^3*d^2*e^2)/5 + (12*a^2*b^2*d*e^3)/5 + (24*a^2*c^2*d^3*e)/5 + 3*a*b*c^2*d^4 + (8*a^3*c*d*e^3)/5 + (48*a*b^2*c*d^3*e)/5 + (54*a^2*b*c*d^2*e^2)/5) + x^7*((3*a*b^3*e^4)/7 + b*c^3*d^4 + (4*b^4*d*e^3)/7 + (24*a^2*c^2*d*e^3)/7 + (36*b^2*c^2*d^3*e)/7 + (30*b^3*c*d^2*e^2)/7 + (9*a^2*b*c*e^4)/7 + (24*a*c^3*d^3*e)/7 + (48*a*b^2*c*d*e^3)/7 + (90*a*b*c^2*d^2*e^2)/7) + x^6*(a*c^3*d^4 + (a^3*c*e^4)/3 + (a^2*b^2*e^4)/2 + (3*b^2*c^2*d^4)/2 + b^4*d^2*e^2 + 6*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + (10*b^3*c*d^3*e)/3 + 10*a*b*c^2*d^3*e + 6*a^2*b*c*d*e^3 + 12*a*b^2*c*d^2*e^2) + x^8*((b^4*e^4)/8 + (c^4*d^4)/4 + (3*a^2*c^2*e^4)/4 + (9*a*c^3*d^2*e^2)/2 + (27*b^2*c^2*d^2*e^2)/4 + (3*a*b^2*c*e^4)/2 + (7*b*c^3*d^3*e)/2 + (5*b^3*c*d*e^3)/2 + (15*a*b*c^2*d*e^3)/2) + x^9*((5*b^3*c*e^4)/9 + (8*c^4*d^3*e)/9 + (14*b*c^3*d^2*e^2)/3 + 4*b^2*c^2*d*e^3 + (5*a*b*c^2*e^4)/3 + (8*a*c^3*d*e^3)/3) + x^4*((b^4*d^4)/4 + (3*a^2*c^2*d^4)/2 + 3*a^3*c*d^2*e^2 + (9*a^2*b^2*d^2*e^2)/2 + 3*a*b^2*c*d^4 + 3*a*b^3*d^3*e + a^3*b*d*e^3 + 9*a^2*b*c*d^3*e) + (c^4*e^4*x^12)/6 + (c^3*e^3*x^11*(7*b*e + 8*c*d))/11 + (a^2*d^3*x^2*(3*b^2*d + 4*a*b*e + 2*a*c*d))/2 + (c^2*e^2*x^10*(9*b^2*e^2 + 12*c^2*d^2 + 6*a*c*e^2 + 28*b*c*d*e))/10 + a^3*b*d^4*x","B"
1515,1,589,411,0.184160,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^3,x)","x^4\,\left(\frac{a^3\,b\,e^3}{4}+\frac{3\,a^3\,c\,d\,e^2}{2}+\frac{9\,a^2\,b^2\,d\,e^2}{4}+\frac{27\,a^2\,b\,c\,d^2\,e}{4}+\frac{3\,a^2\,c^2\,d^3}{2}+\frac{9\,a\,b^3\,d^2\,e}{4}+3\,a\,b^2\,c\,d^3+\frac{b^4\,d^3}{4}\right)+x^7\,\left(\frac{6\,a^2\,c^2\,e^3}{7}+\frac{12\,a\,b^2\,c\,e^3}{7}+\frac{45\,a\,b\,c^2\,d\,e^2}{7}+\frac{18\,a\,c^3\,d^2\,e}{7}+\frac{b^4\,e^3}{7}+\frac{15\,b^3\,c\,d\,e^2}{7}+\frac{27\,b^2\,c^2\,d^2\,e}{7}+b\,c^3\,d^3\right)+x^5\,\left(\frac{2\,a^3\,c\,e^3}{5}+\frac{3\,a^2\,b^2\,e^3}{5}+\frac{27\,a^2\,b\,c\,d\,e^2}{5}+\frac{18\,a^2\,c^2\,d^2\,e}{5}+\frac{9\,a\,b^3\,d\,e^2}{5}+\frac{36\,a\,b^2\,c\,d^2\,e}{5}+3\,a\,b\,c^2\,d^3+\frac{3\,b^4\,d^2\,e}{5}+b^3\,c\,d^3\right)+x^6\,\left(\frac{3\,a^2\,b\,c\,e^3}{2}+3\,a^2\,c^2\,d\,e^2+\frac{a\,b^3\,e^3}{2}+6\,a\,b^2\,c\,d\,e^2+\frac{15\,a\,b\,c^2\,d^2\,e}{2}+a\,c^3\,d^3+\frac{b^4\,d\,e^2}{2}+\frac{5\,b^3\,c\,d^2\,e}{2}+\frac{3\,b^2\,c^2\,d^3}{2}\right)+x^8\,\left(\frac{5\,b^3\,c\,e^3}{8}+\frac{27\,b^2\,c^2\,d\,e^2}{8}+\frac{21\,b\,c^3\,d^2\,e}{8}+\frac{15\,a\,b\,c^2\,e^3}{8}+\frac{c^4\,d^3}{4}+\frac{9\,a\,c^3\,d\,e^2}{4}\right)+x^3\,\left(a^3\,b\,d\,e^2+2\,c\,a^3\,d^2\,e+3\,a^2\,b^2\,d^2\,e+3\,c\,a^2\,b\,d^3+a\,b^3\,d^3\right)+\frac{2\,c^4\,e^3\,x^{11}}{11}+\frac{c^2\,e\,x^9\,\left(3\,b^2\,e^2+7\,b\,c\,d\,e+2\,c^2\,d^2+2\,a\,c\,e^2\right)}{3}+\frac{c^3\,e^2\,x^{10}\,\left(7\,b\,e+6\,c\,d\right)}{10}+\frac{a^2\,d^2\,x^2\,\left(3\,d\,b^2+3\,a\,e\,b+2\,a\,c\,d\right)}{2}+a^3\,b\,d^3\,x","Not used",1,"x^4*((b^4*d^3)/4 + (a^3*b*e^3)/4 + (3*a^2*c^2*d^3)/2 + (9*a^2*b^2*d*e^2)/4 + 3*a*b^2*c*d^3 + (9*a*b^3*d^2*e)/4 + (3*a^3*c*d*e^2)/2 + (27*a^2*b*c*d^2*e)/4) + x^7*((b^4*e^3)/7 + b*c^3*d^3 + (6*a^2*c^2*e^3)/7 + (27*b^2*c^2*d^2*e)/7 + (12*a*b^2*c*e^3)/7 + (18*a*c^3*d^2*e)/7 + (15*b^3*c*d*e^2)/7 + (45*a*b*c^2*d*e^2)/7) + x^5*((2*a^3*c*e^3)/5 + b^3*c*d^3 + (3*b^4*d^2*e)/5 + (3*a^2*b^2*e^3)/5 + (18*a^2*c^2*d^2*e)/5 + 3*a*b*c^2*d^3 + (9*a*b^3*d*e^2)/5 + (36*a*b^2*c*d^2*e)/5 + (27*a^2*b*c*d*e^2)/5) + x^6*((a*b^3*e^3)/2 + a*c^3*d^3 + (b^4*d*e^2)/2 + (3*b^2*c^2*d^3)/2 + 3*a^2*c^2*d*e^2 + (3*a^2*b*c*e^3)/2 + (5*b^3*c*d^2*e)/2 + (15*a*b*c^2*d^2*e)/2 + 6*a*b^2*c*d*e^2) + x^8*((c^4*d^3)/4 + (5*b^3*c*e^3)/8 + (27*b^2*c^2*d*e^2)/8 + (15*a*b*c^2*e^3)/8 + (9*a*c^3*d*e^2)/4 + (21*b*c^3*d^2*e)/8) + x^3*(a*b^3*d^3 + 3*a^2*b^2*d^2*e + 3*a^2*b*c*d^3 + a^3*b*d*e^2 + 2*a^3*c*d^2*e) + (2*c^4*e^3*x^11)/11 + (c^2*e*x^9*(3*b^2*e^2 + 2*c^2*d^2 + 2*a*c*e^2 + 7*b*c*d*e))/3 + (c^3*e^2*x^10*(7*b*e + 6*c*d))/10 + (a^2*d^2*x^2*(3*b^2*d + 3*a*b*e + 2*a*c*d))/2 + a^3*b*d^3*x","B"
1516,1,414,411,1.889067,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^3,x)","x^4\,\left(\frac{a^3\,c\,e^2}{2}+\frac{3\,a^2\,b^2\,e^2}{4}+\frac{9\,a^2\,b\,c\,d\,e}{2}+\frac{3\,a^2\,c^2\,d^2}{2}+\frac{3\,a\,b^3\,d\,e}{2}+3\,a\,b^2\,c\,d^2+\frac{b^4\,d^2}{4}\right)+x^6\,\left(a^2\,c^2\,e^2+2\,a\,b^2\,c\,e^2+5\,a\,b\,c^2\,d\,e+a\,c^3\,d^2+\frac{b^4\,e^2}{6}+\frac{5\,b^3\,c\,d\,e}{3}+\frac{3\,b^2\,c^2\,d^2}{2}\right)+x^8\,\left(\frac{9\,b^2\,c^2\,e^2}{8}+\frac{7\,b\,c^3\,d\,e}{4}+\frac{c^4\,d^2}{4}+\frac{3\,a\,c^3\,e^2}{4}\right)+x^5\,\left(\frac{9\,a^2\,b\,c\,e^2}{5}+\frac{12\,a^2\,c^2\,d\,e}{5}+\frac{3\,a\,b^3\,e^2}{5}+\frac{24\,a\,b^2\,c\,d\,e}{5}+3\,a\,b\,c^2\,d^2+\frac{2\,b^4\,d\,e}{5}+b^3\,c\,d^2\right)+x^3\,\left(\frac{a^3\,b\,e^2}{3}+\frac{4\,c\,a^3\,d\,e}{3}+2\,a^2\,b^2\,d\,e+3\,c\,a^2\,b\,d^2+a\,b^3\,d^2\right)+x^7\,\left(\frac{5\,b^3\,c\,e^2}{7}+\frac{18\,b^2\,c^2\,d\,e}{7}+b\,c^3\,d^2+\frac{15\,a\,b\,c^2\,e^2}{7}+\frac{12\,a\,c^3\,d\,e}{7}\right)+\frac{c^4\,e^2\,x^{10}}{5}+\frac{c^3\,e\,x^9\,\left(7\,b\,e+4\,c\,d\right)}{9}+\frac{a^2\,d\,x^2\,\left(3\,d\,b^2+2\,a\,e\,b+2\,a\,c\,d\right)}{2}+a^3\,b\,d^2\,x","Not used",1,"x^4*((b^4*d^2)/4 + (a^3*c*e^2)/2 + (3*a^2*b^2*e^2)/4 + (3*a^2*c^2*d^2)/2 + (3*a*b^3*d*e)/2 + 3*a*b^2*c*d^2 + (9*a^2*b*c*d*e)/2) + x^6*((b^4*e^2)/6 + a*c^3*d^2 + a^2*c^2*e^2 + (3*b^2*c^2*d^2)/2 + (5*b^3*c*d*e)/3 + 2*a*b^2*c*e^2 + 5*a*b*c^2*d*e) + x^8*((c^4*d^2)/4 + (3*a*c^3*e^2)/4 + (9*b^2*c^2*e^2)/8 + (7*b*c^3*d*e)/4) + x^5*((3*a*b^3*e^2)/5 + b^3*c*d^2 + (2*b^4*d*e)/5 + 3*a*b*c^2*d^2 + (9*a^2*b*c*e^2)/5 + (12*a^2*c^2*d*e)/5 + (24*a*b^2*c*d*e)/5) + x^3*(a*b^3*d^2 + (a^3*b*e^2)/3 + (4*a^3*c*d*e)/3 + 3*a^2*b*c*d^2 + 2*a^2*b^2*d*e) + x^7*(b*c^3*d^2 + (5*b^3*c*e^2)/7 + (12*a*c^3*d*e)/7 + (15*a*b*c^2*e^2)/7 + (18*b^2*c^2*d*e)/7) + (c^4*e^2*x^10)/5 + (c^3*e*x^9*(7*b*e + 4*c*d))/9 + (a^2*d*x^2*(3*b^2*d + 2*a*b*e + 2*a*c*d))/2 + a^3*b*d^2*x","B"
1517,1,243,251,0.106059,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^3,x)","x^8\,\left(\frac{d\,c^4}{4}+\frac{7\,b\,e\,c^3}{8}\right)+x^2\,\left(\frac{e\,a^3\,b}{2}+c\,d\,a^3+\frac{3\,d\,a^2\,b^2}{2}\right)+x^7\,\left(\frac{9\,e\,b^2\,c^2}{7}+d\,b\,c^3+\frac{6\,a\,e\,c^3}{7}\right)+x^4\,\left(\frac{9\,e\,a^2\,b\,c}{4}+\frac{3\,d\,a^2\,c^2}{2}+\frac{3\,e\,a\,b^3}{4}+3\,d\,a\,b^2\,c+\frac{d\,b^4}{4}\right)+x^5\,\left(\frac{6\,e\,a^2\,c^2}{5}+\frac{12\,e\,a\,b^2\,c}{5}+3\,d\,a\,b\,c^2+\frac{e\,b^4}{5}+d\,b^3\,c\right)+x^3\,\left(\frac{2\,c\,e\,a^3}{3}+e\,a^2\,b^2+3\,c\,d\,a^2\,b+d\,a\,b^3\right)+x^6\,\left(\frac{5\,e\,b^3\,c}{6}+\frac{3\,d\,b^2\,c^2}{2}+\frac{5\,a\,e\,b\,c^2}{2}+a\,d\,c^3\right)+\frac{2\,c^4\,e\,x^9}{9}+a^3\,b\,d\,x","Not used",1,"x^8*((c^4*d)/4 + (7*b*c^3*e)/8) + x^2*((3*a^2*b^2*d)/2 + (a^3*b*e)/2 + a^3*c*d) + x^7*((9*b^2*c^2*e)/7 + (6*a*c^3*e)/7 + b*c^3*d) + x^4*((b^4*d)/4 + (3*a^2*c^2*d)/2 + (3*a*b^3*e)/4 + 3*a*b^2*c*d + (9*a^2*b*c*e)/4) + x^5*((b^4*e)/5 + (6*a^2*c^2*e)/5 + b^3*c*d + 3*a*b*c^2*d + (12*a*b^2*c*e)/5) + x^3*(a^2*b^2*e + a*b^3*d + (2*a^3*c*e)/3 + 3*a^2*b*c*d) + x^6*((3*b^2*c^2*d)/2 + a*c^3*d + (5*b^3*c*e)/6 + (5*a*b*c^2*e)/2) + (2*c^4*e*x^9)/9 + a^3*b*d*x","B"
1518,1,112,16,1.887718,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2)^3,x)","x^4\,\left(\frac{3\,a^2\,c^2}{2}+3\,a\,b^2\,c+\frac{b^4}{4}\right)+\frac{c^4\,x^8}{4}+x^2\,\left(c\,a^3+\frac{3\,a^2\,b^2}{2}\right)+x^6\,\left(\frac{3\,b^2\,c^2}{2}+a\,c^3\right)+b\,c^3\,x^7+a^3\,b\,x+a\,b\,x^3\,\left(b^2+3\,a\,c\right)+b\,c\,x^5\,\left(b^2+3\,a\,c\right)","Not used",1,"x^4*(b^4/4 + (3*a^2*c^2)/2 + 3*a*b^2*c) + (c^4*x^8)/4 + x^2*(a^3*c + (3*a^2*b^2)/2) + x^6*(a*c^3 + (3*b^2*c^2)/2) + b*c^3*x^7 + a^3*b*x + a*b*x^3*(3*a*c + b^2) + b*c*x^5*(3*a*c + b^2)","B"
1519,1,697,399,0.098385,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x),x)","x^3\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{3\,e}+\frac{d\,\left(\frac{d\,\left(\frac{9\,b^2\,c^2+6\,a\,c^3}{e}-\frac{d\,\left(\frac{7\,b\,c^3}{e}-\frac{2\,c^4\,d}{e^2}\right)}{e}\right)}{e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e}\right)}{3\,e}\right)-x^4\,\left(\frac{d\,\left(\frac{9\,b^2\,c^2+6\,a\,c^3}{e}-\frac{d\,\left(\frac{7\,b\,c^3}{e}-\frac{2\,c^4\,d}{e^2}\right)}{e}\right)}{4\,e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{4\,e}\right)-x^2\,\left(\frac{d\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{e}+\frac{d\,\left(\frac{d\,\left(\frac{9\,b^2\,c^2+6\,a\,c^3}{e}-\frac{d\,\left(\frac{7\,b\,c^3}{e}-\frac{2\,c^4\,d}{e^2}\right)}{e}\right)}{e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e}\right)}{e}\right)}{2\,e}-\frac{3\,a\,b\,\left(b^2+3\,a\,c\right)}{2\,e}\right)+x^6\,\left(\frac{7\,b\,c^3}{6\,e}-\frac{c^4\,d}{3\,e^2}\right)+x\,\left(\frac{2\,c\,a^3+3\,a^2\,b^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{e}+\frac{d\,\left(\frac{d\,\left(\frac{9\,b^2\,c^2+6\,a\,c^3}{e}-\frac{d\,\left(\frac{7\,b\,c^3}{e}-\frac{2\,c^4\,d}{e^2}\right)}{e}\right)}{e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e}\right)}{e}\right)}{e}-\frac{3\,a\,b\,\left(b^2+3\,a\,c\right)}{e}\right)}{e}\right)+x^5\,\left(\frac{9\,b^2\,c^2+6\,a\,c^3}{5\,e}-\frac{d\,\left(\frac{7\,b\,c^3}{e}-\frac{2\,c^4\,d}{e^2}\right)}{5\,e}\right)-\frac{\ln\left(d+e\,x\right)\,\left(-a^3\,b\,e^7+2\,a^3\,c\,d\,e^6+3\,a^2\,b^2\,d\,e^6-9\,a^2\,b\,c\,d^2\,e^5+6\,a^2\,c^2\,d^3\,e^4-3\,a\,b^3\,d^2\,e^5+12\,a\,b^2\,c\,d^3\,e^4-15\,a\,b\,c^2\,d^4\,e^3+6\,a\,c^3\,d^5\,e^2+b^4\,d^3\,e^4-5\,b^3\,c\,d^4\,e^3+9\,b^2\,c^2\,d^5\,e^2-7\,b\,c^3\,d^6\,e+2\,c^4\,d^7\right)}{e^8}+\frac{2\,c^4\,x^7}{7\,e}","Not used",1,"x^3*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/(3*e) + (d*((d*((6*a*c^3 + 9*b^2*c^2)/e - (d*((7*b*c^3)/e - (2*c^4*d)/e^2))/e))/e - (5*b*c*(3*a*c + b^2))/e))/(3*e)) - x^4*((d*((6*a*c^3 + 9*b^2*c^2)/e - (d*((7*b*c^3)/e - (2*c^4*d)/e^2))/e))/(4*e) - (5*b*c*(3*a*c + b^2))/(4*e)) - x^2*((d*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/e + (d*((d*((6*a*c^3 + 9*b^2*c^2)/e - (d*((7*b*c^3)/e - (2*c^4*d)/e^2))/e))/e - (5*b*c*(3*a*c + b^2))/e))/e))/(2*e) - (3*a*b*(3*a*c + b^2))/(2*e)) + x^6*((7*b*c^3)/(6*e) - (c^4*d)/(3*e^2)) + x*((2*a^3*c + 3*a^2*b^2)/e + (d*((d*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/e + (d*((d*((6*a*c^3 + 9*b^2*c^2)/e - (d*((7*b*c^3)/e - (2*c^4*d)/e^2))/e))/e - (5*b*c*(3*a*c + b^2))/e))/e))/e - (3*a*b*(3*a*c + b^2))/e))/e) + x^5*((6*a*c^3 + 9*b^2*c^2)/(5*e) - (d*((7*b*c^3)/e - (2*c^4*d)/e^2))/(5*e)) - (log(d + e*x)*(2*c^4*d^7 - a^3*b*e^7 + b^4*d^3*e^4 - 3*a*b^3*d^2*e^5 + 3*a^2*b^2*d*e^6 + 6*a*c^3*d^5*e^2 - 5*b^3*c*d^4*e^3 + 6*a^2*c^2*d^3*e^4 + 9*b^2*c^2*d^5*e^2 + 2*a^3*c*d*e^6 - 7*b*c^3*d^6*e - 15*a*b*c^2*d^4*e^3 + 12*a*b^2*c*d^3*e^4 - 9*a^2*b*c*d^2*e^5))/e^8 + (2*c^4*x^7)/(7*e)","B"
1520,1,1090,396,1.819607,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^2,x)","x^5\,\left(\frac{7\,b\,c^3}{5\,e^2}-\frac{4\,c^4\,d}{5\,e^3}\right)+x^3\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{3\,e}-\frac{d^2\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{3\,e^2}+\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{3\,e^2}\right)-x^4\,\left(\frac{d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{2\,e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{4\,e^2}+\frac{c^4\,d^2}{2\,e^4}\right)-x\,\left(\frac{2\,d\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{e^2}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e^2}+\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e^2}\right)}{e}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e^2}+\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e^2}\right)}{e^2}-\frac{3\,a\,b\,\left(b^2+3\,a\,c\right)}{e^2}\right)+x^2\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{2\,e^2}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{2\,e^2}-\frac{d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^2}+\frac{2\,c^4\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,b\,c^3}{e^2}-\frac{4\,c^4\,d}{e^3}\right)}{e^2}+\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e^2}\right)}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(2\,a^3\,c\,e^6+3\,a^2\,b^2\,e^6-18\,a^2\,b\,c\,d\,e^5+18\,a^2\,c^2\,d^2\,e^4-6\,a\,b^3\,d\,e^5+36\,a\,b^2\,c\,d^2\,e^4-60\,a\,b\,c^2\,d^3\,e^3+30\,a\,c^3\,d^4\,e^2+3\,b^4\,d^2\,e^4-20\,b^3\,c\,d^3\,e^3+45\,b^2\,c^2\,d^4\,e^2-42\,b\,c^3\,d^5\,e+14\,c^4\,d^6\right)}{e^8}+\frac{c^4\,x^6}{3\,e^2}+\frac{-a^3\,b\,e^7+2\,a^3\,c\,d\,e^6+3\,a^2\,b^2\,d\,e^6-9\,a^2\,b\,c\,d^2\,e^5+6\,a^2\,c^2\,d^3\,e^4-3\,a\,b^3\,d^2\,e^5+12\,a\,b^2\,c\,d^3\,e^4-15\,a\,b\,c^2\,d^4\,e^3+6\,a\,c^3\,d^5\,e^2+b^4\,d^3\,e^4-5\,b^3\,c\,d^4\,e^3+9\,b^2\,c^2\,d^5\,e^2-7\,b\,c^3\,d^6\,e+2\,c^4\,d^7}{e\,\left(x\,e^8+d\,e^7\right)}","Not used",1,"x^5*((7*b*c^3)/(5*e^2) - (4*c^4*d)/(5*e^3)) + x^3*((2*d*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/(3*e) - (d^2*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/(3*e^2) + (5*b*c*(3*a*c + b^2))/(3*e^2)) - x^4*((d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/(2*e) - (6*a*c^3 + 9*b^2*c^2)/(4*e^2) + (c^4*d^2)/(2*e^4)) - x*((2*d*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/e^2 + (d^2*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/e - (d^2*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e^2 + (5*b*c*(3*a*c + b^2))/e^2))/e))/e + (d^2*((2*d*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/e - (d^2*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e^2 + (5*b*c*(3*a*c + b^2))/e^2))/e^2 - (3*a*b*(3*a*c + b^2))/e^2) + x^2*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/(2*e^2) + (d^2*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/(2*e^2) - (d*((2*d*((2*d*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e - (6*a*c^3 + 9*b^2*c^2)/e^2 + (2*c^4*d^2)/e^4))/e - (d^2*((7*b*c^3)/e^2 - (4*c^4*d)/e^3))/e^2 + (5*b*c*(3*a*c + b^2))/e^2))/e) + (log(d + e*x)*(14*c^4*d^6 + 2*a^3*c*e^6 + 3*a^2*b^2*e^6 + 3*b^4*d^2*e^4 + 30*a*c^3*d^4*e^2 - 20*b^3*c*d^3*e^3 + 18*a^2*c^2*d^2*e^4 + 45*b^2*c^2*d^4*e^2 - 6*a*b^3*d*e^5 - 42*b*c^3*d^5*e - 18*a^2*b*c*d*e^5 - 60*a*b*c^2*d^3*e^3 + 36*a*b^2*c*d^2*e^4))/e^8 + (c^4*x^6)/(3*e^2) + (2*c^4*d^7 - a^3*b*e^7 + b^4*d^3*e^4 - 3*a*b^3*d^2*e^5 + 3*a^2*b^2*d*e^6 + 6*a*c^3*d^5*e^2 - 5*b^3*c*d^4*e^3 + 6*a^2*c^2*d^3*e^4 + 9*b^2*c^2*d^5*e^2 + 2*a^3*c*d*e^6 - 7*b*c^3*d^6*e - 15*a*b*c^2*d^4*e^3 + 12*a*b^2*c*d^3*e^4 - 9*a^2*b*c*d^2*e^5)/(e*(d*e^7 + e^8*x))","B"
1521,1,936,390,1.879409,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^3,x)","x^4\,\left(\frac{7\,b\,c^3}{4\,e^3}-\frac{3\,c^4\,d}{2\,e^4}\right)-\frac{x\,\left(2\,a^3\,c\,e^6+3\,a^2\,b^2\,e^6-18\,a^2\,b\,c\,d\,e^5+18\,a^2\,c^2\,d^2\,e^4-6\,a\,b^3\,d\,e^5+36\,a\,b^2\,c\,d^2\,e^4-60\,a\,b\,c^2\,d^3\,e^3+30\,a\,c^3\,d^4\,e^2+3\,b^4\,d^2\,e^4-20\,b^3\,c\,d^3\,e^3+45\,b^2\,c^2\,d^4\,e^2-42\,b\,c^3\,d^5\,e+14\,c^4\,d^6\right)+\frac{a^3\,b\,e^7+2\,a^3\,c\,d\,e^6+3\,a^2\,b^2\,d\,e^6-27\,a^2\,b\,c\,d^2\,e^5+30\,a^2\,c^2\,d^3\,e^4-9\,a\,b^3\,d^2\,e^5+60\,a\,b^2\,c\,d^3\,e^4-105\,a\,b\,c^2\,d^4\,e^3+54\,a\,c^3\,d^5\,e^2+5\,b^4\,d^3\,e^4-35\,b^3\,c\,d^4\,e^3+81\,b^2\,c^2\,d^5\,e^2-77\,b\,c^3\,d^6\,e+26\,c^4\,d^7}{2\,e}}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}-x^2\,\left(\frac{c^4\,d^3}{e^6}+\frac{3\,d^2\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{2\,e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^3}+\frac{6\,c^4\,d^2}{e^5}\right)}{2\,e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{2\,e^3}\right)-x^3\,\left(\frac{d\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{3\,e^3}+\frac{2\,c^4\,d^2}{e^5}\right)+x\,\left(\frac{6\,a^2\,c^2+12\,a\,b^2\,c+b^4}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^3}+\frac{6\,c^4\,d^2}{e^5}\right)}{e^2}+\frac{3\,d\,\left(\frac{2\,c^4\,d^3}{e^6}+\frac{3\,d^2\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e^2}-\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^3}+\frac{6\,c^4\,d^2}{e^5}\right)}{e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e^3}\right)}{e}-\frac{d^3\,\left(\frac{7\,b\,c^3}{e^3}-\frac{6\,c^4\,d}{e^4}\right)}{e^3}\right)+\frac{2\,c^4\,x^5}{5\,e^3}-\frac{\ln\left(d+e\,x\right)\,\left(-9\,a^2\,b\,c\,e^5+18\,a^2\,c^2\,d\,e^4-3\,a\,b^3\,e^5+36\,a\,b^2\,c\,d\,e^4-90\,a\,b\,c^2\,d^2\,e^3+60\,a\,c^3\,d^3\,e^2+3\,b^4\,d\,e^4-30\,b^3\,c\,d^2\,e^3+90\,b^2\,c^2\,d^3\,e^2-105\,b\,c^3\,d^4\,e+42\,c^4\,d^5\right)}{e^8}","Not used",1,"x^4*((7*b*c^3)/(4*e^3) - (3*c^4*d)/(2*e^4)) - (x*(14*c^4*d^6 + 2*a^3*c*e^6 + 3*a^2*b^2*e^6 + 3*b^4*d^2*e^4 + 30*a*c^3*d^4*e^2 - 20*b^3*c*d^3*e^3 + 18*a^2*c^2*d^2*e^4 + 45*b^2*c^2*d^4*e^2 - 6*a*b^3*d*e^5 - 42*b*c^3*d^5*e - 18*a^2*b*c*d*e^5 - 60*a*b*c^2*d^3*e^3 + 36*a*b^2*c*d^2*e^4) + (26*c^4*d^7 + a^3*b*e^7 + 5*b^4*d^3*e^4 - 9*a*b^3*d^2*e^5 + 3*a^2*b^2*d*e^6 + 54*a*c^3*d^5*e^2 - 35*b^3*c*d^4*e^3 + 30*a^2*c^2*d^3*e^4 + 81*b^2*c^2*d^5*e^2 + 2*a^3*c*d*e^6 - 77*b*c^3*d^6*e - 105*a*b*c^2*d^4*e^3 + 60*a*b^2*c*d^3*e^4 - 27*a^2*b*c*d^2*e^5)/(2*e))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) - x^2*((c^4*d^3)/e^6 + (3*d^2*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/(2*e^2) - (3*d*((3*d*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e - (6*a*c^3 + 9*b^2*c^2)/e^3 + (6*c^4*d^2)/e^5))/(2*e) - (5*b*c*(3*a*c + b^2))/(2*e^3)) - x^3*((d*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e - (6*a*c^3 + 9*b^2*c^2)/(3*e^3) + (2*c^4*d^2)/e^5) + x*((b^4 + 6*a^2*c^2 + 12*a*b^2*c)/e^3 + (3*d^2*((3*d*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e - (6*a*c^3 + 9*b^2*c^2)/e^3 + (6*c^4*d^2)/e^5))/e^2 + (3*d*((2*c^4*d^3)/e^6 + (3*d^2*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e^2 - (3*d*((3*d*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e - (6*a*c^3 + 9*b^2*c^2)/e^3 + (6*c^4*d^2)/e^5))/e - (5*b*c*(3*a*c + b^2))/e^3))/e - (d^3*((7*b*c^3)/e^3 - (6*c^4*d)/e^4))/e^3) + (2*c^4*x^5)/(5*e^3) - (log(d + e*x)*(42*c^4*d^5 - 3*a*b^3*e^5 + 3*b^4*d*e^4 + 60*a*c^3*d^3*e^2 + 18*a^2*c^2*d*e^4 - 30*b^3*c*d^2*e^3 + 90*b^2*c^2*d^3*e^2 - 9*a^2*b*c*e^5 - 105*b*c^3*d^4*e + 36*a*b^2*c*d*e^4 - 90*a*b*c^2*d^2*e^3))/e^8","B"
1522,1,807,396,1.872897,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^4,x)","x^3\,\left(\frac{7\,b\,c^3}{3\,e^4}-\frac{8\,c^4\,d}{3\,e^5}\right)-\frac{x\,\left(a^3\,c\,e^6+\frac{3\,a^2\,b^2\,e^6}{2}+9\,a^2\,b\,c\,d\,e^5-27\,a^2\,c^2\,d^2\,e^4+3\,a\,b^3\,d\,e^5-54\,a\,b^2\,c\,d^2\,e^4+150\,a\,b\,c^2\,d^3\,e^3-105\,a\,c^3\,d^4\,e^2-\frac{9\,b^4\,d^2\,e^4}{2}+50\,b^3\,c\,d^3\,e^3-\frac{315\,b^2\,c^2\,d^4\,e^2}{2}+189\,b\,c^3\,d^5\,e-77\,c^4\,d^6\right)-x^2\,\left(-9\,a^2\,b\,c\,e^6+18\,a^2\,c^2\,d\,e^5-3\,a\,b^3\,e^6+36\,a\,b^2\,c\,d\,e^5-90\,a\,b\,c^2\,d^2\,e^4+60\,a\,c^3\,d^3\,e^3+3\,b^4\,d\,e^5-30\,b^3\,c\,d^2\,e^4+90\,b^2\,c^2\,d^3\,e^3-105\,b\,c^3\,d^4\,e^2+42\,c^4\,d^5\,e\right)+\frac{2\,a^3\,b\,e^7+2\,a^3\,c\,d\,e^6+3\,a^2\,b^2\,d\,e^6+18\,a^2\,b\,c\,d^2\,e^5-66\,a^2\,c^2\,d^3\,e^4+6\,a\,b^3\,d^2\,e^5-132\,a\,b^2\,c\,d^3\,e^4+390\,a\,b\,c^2\,d^4\,e^3-282\,a\,c^3\,d^5\,e^2-11\,b^4\,d^3\,e^4+130\,b^3\,c\,d^4\,e^3-423\,b^2\,c^2\,d^5\,e^2+518\,b\,c^3\,d^6\,e-214\,c^4\,d^7}{6\,e}}{d^3\,e^7+3\,d^2\,e^8\,x+3\,d\,e^9\,x^2+e^{10}\,x^3}-x^2\,\left(\frac{2\,d\,\left(\frac{7\,b\,c^3}{e^4}-\frac{8\,c^4\,d}{e^5}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{2\,e^4}+\frac{6\,c^4\,d^2}{e^6}\right)-x\,\left(\frac{8\,c^4\,d^3}{e^7}+\frac{6\,d^2\,\left(\frac{7\,b\,c^3}{e^4}-\frac{8\,c^4\,d}{e^5}\right)}{e^2}-\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{7\,b\,c^3}{e^4}-\frac{8\,c^4\,d}{e^5}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^4}+\frac{12\,c^4\,d^2}{e^6}\right)}{e}-\frac{5\,b\,c\,\left(b^2+3\,a\,c\right)}{e^4}\right)+\frac{c^4\,x^4}{2\,e^4}+\frac{\ln\left(d+e\,x\right)\,\left(6\,a^2\,c^2\,e^4+12\,a\,b^2\,c\,e^4-60\,a\,b\,c^2\,d\,e^3+60\,a\,c^3\,d^2\,e^2+b^4\,e^4-20\,b^3\,c\,d\,e^3+90\,b^2\,c^2\,d^2\,e^2-140\,b\,c^3\,d^3\,e+70\,c^4\,d^4\right)}{e^8}","Not used",1,"x^3*((7*b*c^3)/(3*e^4) - (8*c^4*d)/(3*e^5)) - (x*(a^3*c*e^6 - 77*c^4*d^6 + (3*a^2*b^2*e^6)/2 - (9*b^4*d^2*e^4)/2 - 105*a*c^3*d^4*e^2 + 50*b^3*c*d^3*e^3 - 27*a^2*c^2*d^2*e^4 - (315*b^2*c^2*d^4*e^2)/2 + 3*a*b^3*d*e^5 + 189*b*c^3*d^5*e + 9*a^2*b*c*d*e^5 + 150*a*b*c^2*d^3*e^3 - 54*a*b^2*c*d^2*e^4) - x^2*(3*b^4*d*e^5 - 3*a*b^3*e^6 + 42*c^4*d^5*e + 60*a*c^3*d^3*e^3 + 18*a^2*c^2*d*e^5 - 105*b*c^3*d^4*e^2 - 30*b^3*c*d^2*e^4 + 90*b^2*c^2*d^3*e^3 - 9*a^2*b*c*e^6 + 36*a*b^2*c*d*e^5 - 90*a*b*c^2*d^2*e^4) + (2*a^3*b*e^7 - 214*c^4*d^7 - 11*b^4*d^3*e^4 + 6*a*b^3*d^2*e^5 + 3*a^2*b^2*d*e^6 - 282*a*c^3*d^5*e^2 + 130*b^3*c*d^4*e^3 - 66*a^2*c^2*d^3*e^4 - 423*b^2*c^2*d^5*e^2 + 2*a^3*c*d*e^6 + 518*b*c^3*d^6*e + 390*a*b*c^2*d^4*e^3 - 132*a*b^2*c*d^3*e^4 + 18*a^2*b*c*d^2*e^5)/(6*e))/(d^3*e^7 + e^10*x^3 + 3*d^2*e^8*x + 3*d*e^9*x^2) - x^2*((2*d*((7*b*c^3)/e^4 - (8*c^4*d)/e^5))/e - (6*a*c^3 + 9*b^2*c^2)/(2*e^4) + (6*c^4*d^2)/e^6) - x*((8*c^4*d^3)/e^7 + (6*d^2*((7*b*c^3)/e^4 - (8*c^4*d)/e^5))/e^2 - (4*d*((4*d*((7*b*c^3)/e^4 - (8*c^4*d)/e^5))/e - (6*a*c^3 + 9*b^2*c^2)/e^4 + (12*c^4*d^2)/e^6))/e - (5*b*c*(3*a*c + b^2))/e^4) + (c^4*x^4)/(2*e^4) + (log(d + e*x)*(b^4*e^4 + 70*c^4*d^4 + 6*a^2*c^2*e^4 + 60*a*c^3*d^2*e^2 + 90*b^2*c^2*d^2*e^2 + 12*a*b^2*c*e^4 - 140*b*c^3*d^3*e - 20*b^3*c*d*e^3 - 60*a*b*c^2*d*e^3))/e^8","B"
1523,1,763,389,1.879830,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^5,x)","x^2\,\left(\frac{7\,b\,c^3}{2\,e^5}-\frac{5\,c^4\,d}{e^6}\right)-x\,\left(\frac{5\,d\,\left(\frac{7\,b\,c^3}{e^5}-\frac{10\,c^4\,d}{e^6}\right)}{e}-\frac{9\,b^2\,c^2+6\,a\,c^3}{e^5}+\frac{20\,c^4\,d^2}{e^7}\right)-\frac{x^2\,\left(\frac{9\,a^2\,b\,c\,e^6}{2}+9\,a^2\,c^2\,d\,e^5+\frac{3\,a\,b^3\,e^6}{2}+18\,a\,b^2\,c\,d\,e^5-135\,a\,b\,c^2\,d^2\,e^4+150\,a\,c^3\,d^3\,e^3+\frac{3\,b^4\,d\,e^5}{2}-45\,b^3\,c\,d^2\,e^4+225\,b^2\,c^2\,d^3\,e^3-\frac{735\,b\,c^3\,d^4\,e^2}{2}+189\,c^4\,d^5\,e\right)+x^3\,\left(6\,a^2\,c^2\,e^6+12\,a\,b^2\,c\,e^6-60\,a\,b\,c^2\,d\,e^5+60\,a\,c^3\,d^2\,e^4+b^4\,e^6-20\,b^3\,c\,d\,e^5+90\,b^2\,c^2\,d^2\,e^4-140\,b\,c^3\,d^3\,e^3+70\,c^4\,d^4\,e^2\right)+x\,\left(\frac{2\,a^3\,c\,e^6}{3}+a^2\,b^2\,e^6+3\,a^2\,b\,c\,d\,e^5+6\,a^2\,c^2\,d^2\,e^4+a\,b^3\,d\,e^5+12\,a\,b^2\,c\,d^2\,e^4-110\,a\,b\,c^2\,d^3\,e^3+130\,a\,c^3\,d^4\,e^2+b^4\,d^2\,e^4-\frac{110\,b^3\,c\,d^3\,e^3}{3}+195\,b^2\,c^2\,d^4\,e^2-329\,b\,c^3\,d^5\,e+\frac{518\,c^4\,d^6}{3}\right)+\frac{3\,a^3\,b\,e^7+2\,a^3\,c\,d\,e^6+3\,a^2\,b^2\,d\,e^6+9\,a^2\,b\,c\,d^2\,e^5+18\,a^2\,c^2\,d^3\,e^4+3\,a\,b^3\,d^2\,e^5+36\,a\,b^2\,c\,d^3\,e^4-375\,a\,b\,c^2\,d^4\,e^3+462\,a\,c^3\,d^5\,e^2+3\,b^4\,d^3\,e^4-125\,b^3\,c\,d^4\,e^3+693\,b^2\,c^2\,d^5\,e^2-1197\,b\,c^3\,d^6\,e+638\,c^4\,d^7}{12\,e}}{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}-\frac{\ln\left(d+e\,x\right)\,\left(-5\,b^3\,c\,e^3+45\,b^2\,c^2\,d\,e^2-105\,b\,c^3\,d^2\,e-15\,a\,b\,c^2\,e^3+70\,c^4\,d^3+30\,a\,c^3\,d\,e^2\right)}{e^8}+\frac{2\,c^4\,x^3}{3\,e^5}","Not used",1,"x^2*((7*b*c^3)/(2*e^5) - (5*c^4*d)/e^6) - x*((5*d*((7*b*c^3)/e^5 - (10*c^4*d)/e^6))/e - (6*a*c^3 + 9*b^2*c^2)/e^5 + (20*c^4*d^2)/e^7) - (x^2*((3*a*b^3*e^6)/2 + (3*b^4*d*e^5)/2 + 189*c^4*d^5*e + 150*a*c^3*d^3*e^3 + 9*a^2*c^2*d*e^5 - (735*b*c^3*d^4*e^2)/2 - 45*b^3*c*d^2*e^4 + 225*b^2*c^2*d^3*e^3 + (9*a^2*b*c*e^6)/2 + 18*a*b^2*c*d*e^5 - 135*a*b*c^2*d^2*e^4) + x^3*(b^4*e^6 + 6*a^2*c^2*e^6 + 70*c^4*d^4*e^2 + 60*a*c^3*d^2*e^4 - 140*b*c^3*d^3*e^3 + 90*b^2*c^2*d^2*e^4 + 12*a*b^2*c*e^6 - 20*b^3*c*d*e^5 - 60*a*b*c^2*d*e^5) + x*((518*c^4*d^6)/3 + (2*a^3*c*e^6)/3 + a^2*b^2*e^6 + b^4*d^2*e^4 + 130*a*c^3*d^4*e^2 - (110*b^3*c*d^3*e^3)/3 + 6*a^2*c^2*d^2*e^4 + 195*b^2*c^2*d^4*e^2 + a*b^3*d*e^5 - 329*b*c^3*d^5*e + 3*a^2*b*c*d*e^5 - 110*a*b*c^2*d^3*e^3 + 12*a*b^2*c*d^2*e^4) + (638*c^4*d^7 + 3*a^3*b*e^7 + 3*b^4*d^3*e^4 + 3*a*b^3*d^2*e^5 + 3*a^2*b^2*d*e^6 + 462*a*c^3*d^5*e^2 - 125*b^3*c*d^4*e^3 + 18*a^2*c^2*d^3*e^4 + 693*b^2*c^2*d^5*e^2 + 2*a^3*c*d*e^6 - 1197*b*c^3*d^6*e - 375*a*b*c^2*d^4*e^3 + 36*a*b^2*c*d^3*e^4 + 9*a^2*b*c*d^2*e^5)/(12*e))/(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) - (log(d + e*x)*(70*c^4*d^3 - 5*b^3*c*e^3 + 45*b^2*c^2*d*e^2 - 15*a*b*c^2*e^3 + 30*a*c^3*d*e^2 - 105*b*c^3*d^2*e))/e^8 + (2*c^4*x^3)/(3*e^5)","B"
1524,1,726,299,2.090864,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2),x)","x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{b\,e^4+8\,c\,d\,e^3}{c}-\frac{2\,b\,e^4}{c}\right)}{c}+\frac{2\,a\,e^4}{c}-\frac{4\,d\,e^2\,\left(b\,e+3\,c\,d\right)}{c}\right)}{c}-\frac{a\,\left(\frac{b\,e^4+8\,c\,d\,e^3}{c}-\frac{2\,b\,e^4}{c}\right)}{c}+\frac{2\,d^2\,e\,\left(3\,b\,e+4\,c\,d\right)}{c}\right)+x^3\,\left(\frac{b\,e^4+8\,c\,d\,e^3}{3\,c}-\frac{2\,b\,e^4}{3\,c}\right)-x^2\,\left(\frac{b\,\left(\frac{b\,e^4+8\,c\,d\,e^3}{c}-\frac{2\,b\,e^4}{c}\right)}{2\,c}+\frac{a\,e^4}{c}-\frac{2\,d\,e^2\,\left(b\,e+3\,c\,d\right)}{c}\right)+\frac{e^4\,x^4}{2}+\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^4\,e^4+2\,c^4\,d^4+b^3\,e^4\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,e^4-12\,a\,c^3\,d^2\,e^2+6\,b^2\,c^2\,d^2\,e^2-4\,a\,b^2\,c\,e^4-4\,b\,c^3\,d^3\,e-4\,b^3\,c\,d\,e^3-4\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}+12\,a\,b\,c^2\,d\,e^3+4\,a\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}-4\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}+6\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-2\,a\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}\right)}{2\,c^4}+\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^4\,e^4+2\,c^4\,d^4-b^3\,e^4\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,e^4-12\,a\,c^3\,d^2\,e^2+6\,b^2\,c^2\,d^2\,e^2-4\,a\,b^2\,c\,e^4-4\,b\,c^3\,d^3\,e-4\,b^3\,c\,d\,e^3+4\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}+12\,a\,b\,c^2\,d\,e^3-4\,a\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}+4\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-6\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+2\,a\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}\right)}{2\,c^4}","Not used",1,"x*((b*((b*((b*e^4 + 8*c*d*e^3)/c - (2*b*e^4)/c))/c + (2*a*e^4)/c - (4*d*e^2*(b*e + 3*c*d))/c))/c - (a*((b*e^4 + 8*c*d*e^3)/c - (2*b*e^4)/c))/c + (2*d^2*e*(3*b*e + 4*c*d))/c) + x^3*((b*e^4 + 8*c*d*e^3)/(3*c) - (2*b*e^4)/(3*c)) - x^2*((b*((b*e^4 + 8*c*d*e^3)/c - (2*b*e^4)/c))/(2*c) + (a*e^4)/c - (2*d*e^2*(b*e + 3*c*d))/c) + (e^4*x^4)/2 + (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4*e^4 + 2*c^4*d^4 + b^3*e^4*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*e^4 - 12*a*c^3*d^2*e^2 + 6*b^2*c^2*d^2*e^2 - 4*a*b^2*c*e^4 - 4*b*c^3*d^3*e - 4*b^3*c*d*e^3 - 4*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) + 12*a*b*c^2*d*e^3 + 4*a*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) - 4*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) + 6*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 2*a*b*c*e^4*(b^2 - 4*a*c)^(1/2)))/(2*c^4) + (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4*e^4 + 2*c^4*d^4 - b^3*e^4*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*e^4 - 12*a*c^3*d^2*e^2 + 6*b^2*c^2*d^2*e^2 - 4*a*b^2*c*e^4 - 4*b*c^3*d^3*e - 4*b^3*c*d*e^3 + 4*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) + 12*a*b*c^2*d*e^3 - 4*a*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) + 4*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 6*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 2*a*b*c*e^4*(b^2 - 4*a*c)^(1/2)))/(2*c^4)","B"
1525,1,433,188,2.003952,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2),x)","x^2\,\left(\frac{b\,e^3+6\,c\,d\,e^2}{2\,c}-\frac{b\,e^3}{c}\right)-x\,\left(\frac{b\,\left(\frac{b\,e^3+6\,c\,d\,e^2}{c}-\frac{2\,b\,e^3}{c}\right)}{c}+\frac{2\,a\,e^3}{c}-\frac{3\,d\,e\,\left(b\,e+2\,c\,d\right)}{c}\right)+\frac{2\,e^3\,x^3}{3}-\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}\right)}{2\,c^3}-\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}\right)}{2\,c^3}","Not used",1,"x^2*((b*e^3 + 6*c*d*e^2)/(2*c) - (b*e^3)/c) - x*((b*((b*e^3 + 6*c*d*e^2)/c - (2*b*e^3)/c))/c + (2*a*e^3)/c - (3*d*e*(b*e + 2*c*d))/c) + (2*e^3*x^3)/3 - (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2)))/(2*c^3) - (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2)))/(2*c^3)","B"
1526,1,230,114,0.255457,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2),x)","\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{\frac{b^2\,e^2}{2}-c\,\left(a\,e^2+b\,d\,e+d\,e\,\sqrt{b^2-4\,a\,c}\right)+\frac{b\,e^2\,\sqrt{b^2-4\,a\,c}}{2}}{c^2}+d^2\right)+x\,\left(\frac{b\,e^2+4\,c\,d\,e}{c}-\frac{2\,b\,e^2}{c}\right)-\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{c\,\left(a\,e^2+b\,d\,e-d\,e\,\sqrt{b^2-4\,a\,c}\right)-\frac{b^2\,e^2}{2}+\frac{b\,e^2\,\sqrt{b^2-4\,a\,c}}{2}}{c^2}-d^2\right)+e^2\,x^2","Not used",1,"log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(((b^2*e^2)/2 - c*(a*e^2 + b*d*e + d*e*(b^2 - 4*a*c)^(1/2)) + (b*e^2*(b^2 - 4*a*c)^(1/2))/2)/c^2 + d^2) + x*((b*e^2 + 4*c*d*e)/c - (2*b*e^2)/c) - log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*((c*(a*e^2 + b*d*e - d*e*(b^2 - 4*a*c)^(1/2)) - (b^2*e^2)/2 + (b*e^2*(b^2 - 4*a*c)^(1/2))/2)/c^2 - d^2) + e^2*x^2","B"
1527,1,129,70,0.321444,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2),x)","\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(d-\frac{\frac{b\,e}{2}+\frac{e\,\sqrt{b^2-4\,a\,c}}{2}}{c}\right)+2\,e\,x+\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(d-\frac{\frac{b\,e}{2}-\frac{e\,\sqrt{b^2-4\,a\,c}}{2}}{c}\right)","Not used",1,"log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(d - ((b*e)/2 + (e*(b^2 - 4*a*c)^(1/2))/2)/c) + 2*e*x + log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(d - ((b*e)/2 - (e*(b^2 - 4*a*c)^(1/2))/2)/c)","B"
1528,1,11,11,0.039832,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2),x)","\ln\left(c\,x^2+b\,x+a\right)","Not used",1,"log(a + b*x + c*x^2)","B"
1529,1,515,130,4.377127,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)),x)","\frac{\ln\left(2\,b\,c^2\,e-\frac{\left(c\,d-\frac{b\,e}{2}+\frac{e\,\sqrt{b^2-4\,a\,c}}{2}\right)\,\left(2\,a\,c^2\,e^2-b^2\,c\,e^2+b\,c^2\,d\,e-c^2\,e\,x\,\left(b\,e-2\,c\,d\right)+\frac{c\,e\,\left(c\,d-\frac{b\,e}{2}+\frac{e\,\sqrt{b^2-4\,a\,c}}{2}\right)\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)}{c\,d^2-b\,d\,e+a\,e^2}\right)}{c\,d^2-b\,d\,e+a\,e^2}+4\,c^3\,e\,x\right)\,\left(c\,d-e\,\left(\frac{b}{2}-\frac{\sqrt{b^2-4\,a\,c}}{2}\right)\right)}{c\,d^2-b\,d\,e+a\,e^2}+\frac{\ln\left(2\,b\,c^2\,e-\frac{\left(\frac{b\,e}{2}-c\,d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2}\right)\,\left(b^2\,c\,e^2-2\,a\,c^2\,e^2-b\,c^2\,d\,e+c^2\,e\,x\,\left(b\,e-2\,c\,d\right)+\frac{c\,e\,\left(\frac{b\,e}{2}-c\,d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2}\right)\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)}{c\,d^2-b\,d\,e+a\,e^2}\right)}{c\,d^2-b\,d\,e+a\,e^2}+4\,c^3\,e\,x\right)\,\left(c\,d-e\,\left(\frac{b}{2}+\frac{\sqrt{b^2-4\,a\,c}}{2}\right)\right)}{c\,d^2-b\,d\,e+a\,e^2}+\frac{\ln\left(d+e\,x\right)\,\left(b\,e-2\,c\,d\right)}{c\,d^2-b\,d\,e+a\,e^2}","Not used",1,"(log(2*b*c^2*e - ((c*d - (b*e)/2 + (e*(b^2 - 4*a*c)^(1/2))/2)*(2*a*c^2*e^2 - b^2*c*e^2 + b*c^2*d*e - c^2*e*x*(b*e - 2*c*d) + (c*e*(c*d - (b*e)/2 + (e*(b^2 - 4*a*c)^(1/2))/2)*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x))/(a*e^2 + c*d^2 - b*d*e)))/(a*e^2 + c*d^2 - b*d*e) + 4*c^3*e*x)*(c*d - e*(b/2 - (b^2 - 4*a*c)^(1/2)/2)))/(a*e^2 + c*d^2 - b*d*e) + (log(2*b*c^2*e - (((b*e)/2 - c*d + (e*(b^2 - 4*a*c)^(1/2))/2)*(b^2*c*e^2 - 2*a*c^2*e^2 - b*c^2*d*e + c^2*e*x*(b*e - 2*c*d) + (c*e*((b*e)/2 - c*d + (e*(b^2 - 4*a*c)^(1/2))/2)*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x))/(a*e^2 + c*d^2 - b*d*e)))/(a*e^2 + c*d^2 - b*d*e) + 4*c^3*e*x)*(c*d - e*(b/2 + (b^2 - 4*a*c)^(1/2)/2)))/(a*e^2 + c*d^2 - b*d*e) + (log(d + e*x)*(b*e - 2*c*d))/(a*e^2 + c*d^2 - b*d*e)","B"
1530,1,1637,210,4.080388,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)),x)","\frac{\ln\left(d+e\,x\right)\,\left(e^2\,\left(2\,a\,c-b^2\right)-2\,c^2\,d^2+2\,b\,c\,d\,e\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{\ln\left(3\,b^2\,c^3\,d^4-12\,a\,c^4\,d^4-2\,b^5\,e^4\,x-12\,a^3\,c^2\,e^4-2\,a\,b^4\,e^4+2\,b^4\,e^4\,x\,\sqrt{b^2-4\,a\,c}+6\,c^4\,d^4\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^2\,c\,e^4-2\,b^3\,c^2\,d^3\,e+b^4\,c\,d^2\,e^2+40\,a^2\,c^3\,d^2\,e^2+2\,a\,b^3\,e^4\,\sqrt{b^2-4\,a\,c}+3\,b\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}+8\,a\,b\,c^3\,d^3\,e+6\,a\,b^3\,c\,d\,e^3+12\,a\,b^3\,c\,e^4\,x-32\,a\,c^4\,d^3\,e\,x+8\,b^4\,c\,d\,e^3\,x-5\,a^2\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}-24\,a^2\,b\,c^2\,d\,e^3-16\,a^2\,b\,c^2\,e^4\,x+32\,a^2\,c^3\,d\,e^3\,x+8\,b^2\,c^3\,d^3\,e\,x+16\,a^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+b^3\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+6\,a^2\,c^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}-14\,a\,b^2\,c^2\,d^2\,e^2-12\,b^3\,c^2\,d^2\,e^2\,x+14\,a\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-20\,a\,c^3\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+14\,b^2\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-8\,a\,b^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}-12\,b\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-8\,b^3\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}+48\,a\,b\,c^3\,d^2\,e^2\,x-40\,a\,b^2\,c^2\,d\,e^3\,x+20\,a\,b\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e^2\,\left(a\,c+\frac{b\,\sqrt{b^2-4\,a\,c}}{2}-\frac{b^2}{2}\right)+e\,\left(b\,c\,d-c\,d\,\sqrt{b^2-4\,a\,c}\right)-c^2\,d^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{\ln\left(2\,a\,b^4\,e^4+12\,a\,c^4\,d^4+2\,b^5\,e^4\,x+12\,a^3\,c^2\,e^4-3\,b^2\,c^3\,d^4+2\,b^4\,e^4\,x\,\sqrt{b^2-4\,a\,c}+6\,c^4\,d^4\,x\,\sqrt{b^2-4\,a\,c}-11\,a^2\,b^2\,c\,e^4+2\,b^3\,c^2\,d^3\,e-b^4\,c\,d^2\,e^2-40\,a^2\,c^3\,d^2\,e^2+2\,a\,b^3\,e^4\,\sqrt{b^2-4\,a\,c}+3\,b\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}-8\,a\,b\,c^3\,d^3\,e-6\,a\,b^3\,c\,d\,e^3-12\,a\,b^3\,c\,e^4\,x+32\,a\,c^4\,d^3\,e\,x-8\,b^4\,c\,d\,e^3\,x-5\,a^2\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}+24\,a^2\,b\,c^2\,d\,e^3+16\,a^2\,b\,c^2\,e^4\,x-32\,a^2\,c^3\,d\,e^3\,x-8\,b^2\,c^3\,d^3\,e\,x+16\,a^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+b^3\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+6\,a^2\,c^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}+14\,a\,b^2\,c^2\,d^2\,e^2+12\,b^3\,c^2\,d^2\,e^2\,x+14\,a\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-20\,a\,c^3\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+14\,b^2\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-8\,a\,b^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}-12\,b\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-8\,b^3\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}-48\,a\,b\,c^3\,d^2\,e^2\,x+40\,a\,b^2\,c^2\,d\,e^3\,x+20\,a\,b\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e^2\,\left(\frac{b\,\sqrt{b^2-4\,a\,c}}{2}-a\,c+\frac{b^2}{2}\right)-e\,\left(b\,c\,d+c\,d\,\sqrt{b^2-4\,a\,c}\right)+c^2\,d^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{b\,e-2\,c\,d}{\left(d+e\,x\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"(log(d + e*x)*(e^2*(2*a*c - b^2) - 2*c^2*d^2 + 2*b*c*d*e))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (log(3*b^2*c^3*d^4 - 12*a*c^4*d^4 - 2*b^5*e^4*x - 12*a^3*c^2*e^4 - 2*a*b^4*e^4 + 2*b^4*e^4*x*(b^2 - 4*a*c)^(1/2) + 6*c^4*d^4*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^2*c*e^4 - 2*b^3*c^2*d^3*e + b^4*c*d^2*e^2 + 40*a^2*c^3*d^2*e^2 + 2*a*b^3*e^4*(b^2 - 4*a*c)^(1/2) + 3*b*c^3*d^4*(b^2 - 4*a*c)^(1/2) + 8*a*b*c^3*d^3*e + 6*a*b^3*c*d*e^3 + 12*a*b^3*c*e^4*x - 32*a*c^4*d^3*e*x + 8*b^4*c*d*e^3*x - 5*a^2*b*c*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) - 24*a^2*b*c^2*d*e^3 - 16*a^2*b*c^2*e^4*x + 32*a^2*c^3*d*e^3*x + 8*b^2*c^3*d^3*e*x + 16*a^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) - 2*b^2*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + b^3*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 6*a^2*c^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 14*a*b^2*c^2*d^2*e^2 - 12*b^3*c^2*d^2*e^2*x + 14*a*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 20*a*c^3*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 14*b^2*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*a*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 8*a*b^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) - 12*b*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 8*b^3*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) + 48*a*b*c^3*d^2*e^2*x - 40*a*b^2*c^2*d*e^3*x + 20*a*b*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(e^2*(a*c + (b*(b^2 - 4*a*c)^(1/2))/2 - b^2/2) + e*(b*c*d - c*d*(b^2 - 4*a*c)^(1/2)) - c^2*d^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (log(2*a*b^4*e^4 + 12*a*c^4*d^4 + 2*b^5*e^4*x + 12*a^3*c^2*e^4 - 3*b^2*c^3*d^4 + 2*b^4*e^4*x*(b^2 - 4*a*c)^(1/2) + 6*c^4*d^4*x*(b^2 - 4*a*c)^(1/2) - 11*a^2*b^2*c*e^4 + 2*b^3*c^2*d^3*e - b^4*c*d^2*e^2 - 40*a^2*c^3*d^2*e^2 + 2*a*b^3*e^4*(b^2 - 4*a*c)^(1/2) + 3*b*c^3*d^4*(b^2 - 4*a*c)^(1/2) - 8*a*b*c^3*d^3*e - 6*a*b^3*c*d*e^3 - 12*a*b^3*c*e^4*x + 32*a*c^4*d^3*e*x - 8*b^4*c*d*e^3*x - 5*a^2*b*c*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) + 24*a^2*b*c^2*d*e^3 + 16*a^2*b*c^2*e^4*x - 32*a^2*c^3*d*e^3*x - 8*b^2*c^3*d^3*e*x + 16*a^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) - 2*b^2*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + b^3*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 6*a^2*c^2*e^4*x*(b^2 - 4*a*c)^(1/2) + 14*a*b^2*c^2*d^2*e^2 + 12*b^3*c^2*d^2*e^2*x + 14*a*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 20*a*c^3*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 14*b^2*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*a*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 8*a*b^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) - 12*b*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 8*b^3*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) - 48*a*b*c^3*d^2*e^2*x + 40*a*b^2*c^2*d*e^3*x + 20*a*b*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(e^2*((b*(b^2 - 4*a*c)^(1/2))/2 - a*c + b^2/2) - e*(b*c*d + c*d*(b^2 - 4*a*c)^(1/2)) + c^2*d^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (b*e - 2*c*d)/((d + e*x)*(a*e^2 + c*d^2 - b*d*e))","B"
1531,1,2608,303,10.979614,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^3*(a + b*x + c*x^2)),x)","\frac{\ln\left(2\,a\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+32\,a\,b^5\,e^5-192\,a\,c^5\,d^5+32\,b^6\,e^5\,x+48\,b^2\,c^4\,d^5+18\,b^3\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+3\,b^5\,e^5\,x\,\sqrt{b^2-4\,a\,c}-96\,c^5\,d^5\,x\,\sqrt{b^2-4\,a\,c}-208\,a^2\,b^3\,c\,e^5+320\,a^3\,b\,c^2\,e^5-704\,a^3\,c^3\,d\,e^4-48\,b^3\,c^3\,d^4\,e-16\,b^5\,c\,d^2\,e^3-64\,a^3\,c^3\,e^5\,x+1152\,a^2\,c^4\,d^3\,e^2+48\,b^4\,c^2\,d^3\,e^2+33\,b\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+11\,b\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+24\,a\,b^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}+6\,a\,b^4\,e^5\,\sqrt{b^2-4\,a\,c}-48\,b\,c^4\,d^5\,\sqrt{b^2-4\,a\,c}-18\,b^3\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-15\,b^5\,d\,e^4\,\sqrt{b^2-4\,a\,c}-44\,c\,d^2\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}-72\,c^3\,d^4\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}-22\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+192\,a\,b\,c^4\,d^4\,e-128\,a\,b^4\,c\,d\,e^4-120\,b^3\,c^2\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}-224\,a\,b^4\,c\,e^5\,x-576\,a\,c^5\,d^4\,e\,x-160\,b^5\,c\,d\,e^4\,x+144\,b^2\,c^4\,d^4\,e\,x+72\,b\,c^2\,d^3\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+120\,b^2\,c^3\,d^4\,e\,\sqrt{b^2-4\,a\,c}+60\,b^4\,c\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-144\,c^3\,d^3\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-480\,a\,b^2\,c^3\,d^3\,e^2+320\,a\,b^3\,c^2\,d^2\,e^3-1024\,a^2\,b\,c^3\,d^2\,e^3+688\,a^2\,b^2\,c^2\,d\,e^4+400\,a^2\,b^2\,c^2\,e^5\,x+1408\,a^2\,c^4\,d^2\,e^3\,x-288\,b^3\,c^3\,d^3\,e^2\,x+304\,b^4\,c^2\,d^2\,e^3\,x+216\,b\,c^2\,d^2\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-1568\,a\,b^2\,c^3\,d^2\,e^3\,x-240\,b^2\,c^3\,d^3\,e^2\,x\,\sqrt{b^2-4\,a\,c}+120\,b^3\,c^2\,d^2\,e^3\,x\,\sqrt{b^2-4\,a\,c}+240\,b\,c^4\,d^4\,e\,x\,\sqrt{b^2-4\,a\,c}-108\,b^2\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-30\,b^4\,c\,d\,e^4\,x\,\sqrt{b^2-4\,a\,c}+1152\,a\,b\,c^4\,d^3\,e^2\,x+992\,a\,b^3\,c^2\,d\,e^4\,x-1408\,a^2\,b\,c^3\,d\,e^4\,x\right)\,\left(e^2\,\left(\frac{3\,b^2\,c\,d}{2}-3\,a\,c^2\,d+\frac{3\,b\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)-e^3\,\left(\frac{b^3}{2}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}-\frac{3\,a\,b\,c}{2}-\frac{a\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)+c^3\,d^3-e\,\left(\frac{3\,b\,c^2\,d^2}{2}+\frac{3\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}}{2}\right)\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}-\frac{\ln\left(32\,a\,b^5\,e^5-2\,a\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}-192\,a\,c^5\,d^5+32\,b^6\,e^5\,x+48\,b^2\,c^4\,d^5-18\,b^3\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-3\,b^5\,e^5\,x\,\sqrt{b^2-4\,a\,c}+96\,c^5\,d^5\,x\,\sqrt{b^2-4\,a\,c}-208\,a^2\,b^3\,c\,e^5+320\,a^3\,b\,c^2\,e^5-704\,a^3\,c^3\,d\,e^4-48\,b^3\,c^3\,d^4\,e-16\,b^5\,c\,d^2\,e^3-64\,a^3\,c^3\,e^5\,x+1152\,a^2\,c^4\,d^3\,e^2+48\,b^4\,c^2\,d^3\,e^2-33\,b\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-11\,b\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-24\,a\,b^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-6\,a\,b^4\,e^5\,\sqrt{b^2-4\,a\,c}+48\,b\,c^4\,d^5\,\sqrt{b^2-4\,a\,c}+18\,b^3\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+15\,b^5\,d\,e^4\,\sqrt{b^2-4\,a\,c}+44\,c\,d^2\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+72\,c^3\,d^4\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}+22\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+192\,a\,b\,c^4\,d^4\,e-128\,a\,b^4\,c\,d\,e^4+120\,b^3\,c^2\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}-224\,a\,b^4\,c\,e^5\,x-576\,a\,c^5\,d^4\,e\,x-160\,b^5\,c\,d\,e^4\,x+144\,b^2\,c^4\,d^4\,e\,x-72\,b\,c^2\,d^3\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-120\,b^2\,c^3\,d^4\,e\,\sqrt{b^2-4\,a\,c}-60\,b^4\,c\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}+144\,c^3\,d^3\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-480\,a\,b^2\,c^3\,d^3\,e^2+320\,a\,b^3\,c^2\,d^2\,e^3-1024\,a^2\,b\,c^3\,d^2\,e^3+688\,a^2\,b^2\,c^2\,d\,e^4+400\,a^2\,b^2\,c^2\,e^5\,x+1408\,a^2\,c^4\,d^2\,e^3\,x-288\,b^3\,c^3\,d^3\,e^2\,x+304\,b^4\,c^2\,d^2\,e^3\,x-216\,b\,c^2\,d^2\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-1568\,a\,b^2\,c^3\,d^2\,e^3\,x+240\,b^2\,c^3\,d^3\,e^2\,x\,\sqrt{b^2-4\,a\,c}-120\,b^3\,c^2\,d^2\,e^3\,x\,\sqrt{b^2-4\,a\,c}-240\,b\,c^4\,d^4\,e\,x\,\sqrt{b^2-4\,a\,c}+108\,b^2\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+30\,b^4\,c\,d\,e^4\,x\,\sqrt{b^2-4\,a\,c}+1152\,a\,b\,c^4\,d^3\,e^2\,x+992\,a\,b^3\,c^2\,d\,e^4\,x-1408\,a^2\,b\,c^3\,d\,e^4\,x\right)\,\left(e^2\,\left(3\,a\,c^2\,d-\frac{3\,b^2\,c\,d}{2}+\frac{3\,b\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)+e^3\,\left(\frac{b^3}{2}-\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}-\frac{3\,a\,b\,c}{2}+\frac{a\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)-c^3\,d^3+e\,\left(\frac{3\,b\,c^2\,d^2}{2}-\frac{3\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}}{2}\right)\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}-\frac{\frac{-3\,b^2\,d\,e^2+7\,b\,c\,d^2\,e+a\,b\,e^3-6\,c^2\,d^3+2\,a\,c\,d\,e^2}{2\,\left(a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4\right)}-\frac{x\,\left(b^2\,e^3-2\,b\,c\,d\,e^2+2\,c^2\,d^2\,e-2\,a\,c\,e^3\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}}{d^2+2\,d\,e\,x+e^2\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(e^2\,\left(6\,a\,c^2\,d-3\,b^2\,c\,d\right)+e^3\,\left(b^3-3\,a\,b\,c\right)-2\,c^3\,d^3+3\,b\,c^2\,d^2\,e\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}","Not used",1,"(log(2*a*e^5*(b^2 - 4*a*c)^(5/2) + 32*a*b^5*e^5 - 192*a*c^5*d^5 + 32*b^6*e^5*x + 48*b^2*c^4*d^5 + 18*b^3*e^5*x*(b^2 - 4*a*c)^(3/2) + 3*b^5*e^5*x*(b^2 - 4*a*c)^(1/2) - 96*c^5*d^5*x*(b^2 - 4*a*c)^(1/2) - 208*a^2*b^3*c*e^5 + 320*a^3*b*c^2*e^5 - 704*a^3*c^3*d*e^4 - 48*b^3*c^3*d^4*e - 16*b^5*c*d^2*e^3 - 64*a^3*c^3*e^5*x + 1152*a^2*c^4*d^3*e^2 + 48*b^4*c^2*d^3*e^2 + 33*b*d*e^4*(b^2 - 4*a*c)^(5/2) + 11*b*e^5*x*(b^2 - 4*a*c)^(5/2) + 24*a*b^2*e^5*(b^2 - 4*a*c)^(3/2) + 6*a*b^4*e^5*(b^2 - 4*a*c)^(1/2) - 48*b*c^4*d^5*(b^2 - 4*a*c)^(1/2) - 18*b^3*d*e^4*(b^2 - 4*a*c)^(3/2) - 15*b^5*d*e^4*(b^2 - 4*a*c)^(1/2) - 44*c*d^2*e^3*(b^2 - 4*a*c)^(5/2) - 72*c^3*d^4*e*(b^2 - 4*a*c)^(3/2) - 22*c*d*e^4*x*(b^2 - 4*a*c)^(5/2) + 192*a*b*c^4*d^4*e - 128*a*b^4*c*d*e^4 - 120*b^3*c^2*d^3*e^2*(b^2 - 4*a*c)^(1/2) - 224*a*b^4*c*e^5*x - 576*a*c^5*d^4*e*x - 160*b^5*c*d*e^4*x + 144*b^2*c^4*d^4*e*x + 72*b*c^2*d^3*e^2*(b^2 - 4*a*c)^(3/2) + 120*b^2*c^3*d^4*e*(b^2 - 4*a*c)^(1/2) + 60*b^4*c*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 144*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(3/2) - 480*a*b^2*c^3*d^3*e^2 + 320*a*b^3*c^2*d^2*e^3 - 1024*a^2*b*c^3*d^2*e^3 + 688*a^2*b^2*c^2*d*e^4 + 400*a^2*b^2*c^2*e^5*x + 1408*a^2*c^4*d^2*e^3*x - 288*b^3*c^3*d^3*e^2*x + 304*b^4*c^2*d^2*e^3*x + 216*b*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(3/2) - 1568*a*b^2*c^3*d^2*e^3*x - 240*b^2*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(1/2) + 120*b^3*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(1/2) + 240*b*c^4*d^4*e*x*(b^2 - 4*a*c)^(1/2) - 108*b^2*c*d*e^4*x*(b^2 - 4*a*c)^(3/2) - 30*b^4*c*d*e^4*x*(b^2 - 4*a*c)^(1/2) + 1152*a*b*c^4*d^3*e^2*x + 992*a*b^3*c^2*d*e^4*x - 1408*a^2*b*c^3*d*e^4*x)*(e^2*((3*b^2*c*d)/2 - 3*a*c^2*d + (3*b*c*d*(b^2 - 4*a*c)^(1/2))/2) - e^3*(b^3/2 + (b^2*(b^2 - 4*a*c)^(1/2))/2 - (3*a*b*c)/2 - (a*c*(b^2 - 4*a*c)^(1/2))/2) + c^3*d^3 - e*((3*b*c^2*d^2)/2 + (3*c^2*d^2*(b^2 - 4*a*c)^(1/2))/2)))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3) - (log(32*a*b^5*e^5 - 2*a*e^5*(b^2 - 4*a*c)^(5/2) - 192*a*c^5*d^5 + 32*b^6*e^5*x + 48*b^2*c^4*d^5 - 18*b^3*e^5*x*(b^2 - 4*a*c)^(3/2) - 3*b^5*e^5*x*(b^2 - 4*a*c)^(1/2) + 96*c^5*d^5*x*(b^2 - 4*a*c)^(1/2) - 208*a^2*b^3*c*e^5 + 320*a^3*b*c^2*e^5 - 704*a^3*c^3*d*e^4 - 48*b^3*c^3*d^4*e - 16*b^5*c*d^2*e^3 - 64*a^3*c^3*e^5*x + 1152*a^2*c^4*d^3*e^2 + 48*b^4*c^2*d^3*e^2 - 33*b*d*e^4*(b^2 - 4*a*c)^(5/2) - 11*b*e^5*x*(b^2 - 4*a*c)^(5/2) - 24*a*b^2*e^5*(b^2 - 4*a*c)^(3/2) - 6*a*b^4*e^5*(b^2 - 4*a*c)^(1/2) + 48*b*c^4*d^5*(b^2 - 4*a*c)^(1/2) + 18*b^3*d*e^4*(b^2 - 4*a*c)^(3/2) + 15*b^5*d*e^4*(b^2 - 4*a*c)^(1/2) + 44*c*d^2*e^3*(b^2 - 4*a*c)^(5/2) + 72*c^3*d^4*e*(b^2 - 4*a*c)^(3/2) + 22*c*d*e^4*x*(b^2 - 4*a*c)^(5/2) + 192*a*b*c^4*d^4*e - 128*a*b^4*c*d*e^4 + 120*b^3*c^2*d^3*e^2*(b^2 - 4*a*c)^(1/2) - 224*a*b^4*c*e^5*x - 576*a*c^5*d^4*e*x - 160*b^5*c*d*e^4*x + 144*b^2*c^4*d^4*e*x - 72*b*c^2*d^3*e^2*(b^2 - 4*a*c)^(3/2) - 120*b^2*c^3*d^4*e*(b^2 - 4*a*c)^(1/2) - 60*b^4*c*d^2*e^3*(b^2 - 4*a*c)^(1/2) + 144*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(3/2) - 480*a*b^2*c^3*d^3*e^2 + 320*a*b^3*c^2*d^2*e^3 - 1024*a^2*b*c^3*d^2*e^3 + 688*a^2*b^2*c^2*d*e^4 + 400*a^2*b^2*c^2*e^5*x + 1408*a^2*c^4*d^2*e^3*x - 288*b^3*c^3*d^3*e^2*x + 304*b^4*c^2*d^2*e^3*x - 216*b*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(3/2) - 1568*a*b^2*c^3*d^2*e^3*x + 240*b^2*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(1/2) - 120*b^3*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(1/2) - 240*b*c^4*d^4*e*x*(b^2 - 4*a*c)^(1/2) + 108*b^2*c*d*e^4*x*(b^2 - 4*a*c)^(3/2) + 30*b^4*c*d*e^4*x*(b^2 - 4*a*c)^(1/2) + 1152*a*b*c^4*d^3*e^2*x + 992*a*b^3*c^2*d*e^4*x - 1408*a^2*b*c^3*d*e^4*x)*(e^2*(3*a*c^2*d - (3*b^2*c*d)/2 + (3*b*c*d*(b^2 - 4*a*c)^(1/2))/2) + e^3*(b^3/2 - (b^2*(b^2 - 4*a*c)^(1/2))/2 - (3*a*b*c)/2 + (a*c*(b^2 - 4*a*c)^(1/2))/2) - c^3*d^3 + e*((3*b*c^2*d^2)/2 - (3*c^2*d^2*(b^2 - 4*a*c)^(1/2))/2)))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3) - ((a*b*e^3 - 3*b^2*d*e^2 - 6*c^2*d^3 + 2*a*c*d*e^2 + 7*b*c*d^2*e)/(2*(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)) - (x*(b^2*e^3 + 2*c^2*d^2*e - 2*a*c*e^3 - 2*b*c*d*e^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))/(d^2 + e^2*x^2 + 2*d*e*x) + (log(d + e*x)*(e^2*(6*a*c^2*d - 3*b^2*c*d) + e^3*(b^3 - 3*a*b*c) - 2*c^3*d^3 + 3*b*c^2*d^2*e))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3)","B"
1532,1,358,172,0.323365,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^2,x)","x\,\left(\frac{b\,e^4+8\,c\,d\,e^3}{c^2}-\frac{4\,b\,e^4}{c^2}\right)-\frac{\frac{a^2\,c\,e^4-a\,b^2\,e^4+4\,a\,b\,c\,d\,e^3-6\,a\,c^2\,d^2\,e^2+c^3\,d^4}{c}-\frac{x\,\left(b^3\,e^4-4\,b^2\,c\,d\,e^3+6\,b\,c^2\,d^2\,e^2-2\,a\,b\,c\,e^4-4\,c^3\,d^3\,e+4\,a\,c^2\,d\,e^3\right)}{c}}{c^3\,x^2+b\,c^2\,x+a\,c^2}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(16\,a^2\,c^2\,e^4-20\,a\,b^2\,c\,e^4+48\,a\,b\,c^2\,d\,e^3-48\,a\,c^3\,d^2\,e^2+4\,b^4\,e^4-12\,b^3\,c\,d\,e^3+12\,b^2\,c^2\,d^2\,e^2\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}+\frac{e^4\,x^2}{c}-\frac{4\,e\,\mathrm{atan}\left(\frac{b+2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(b\,e-2\,c\,d\right)\,\left(b^2\,e^2-b\,c\,d\,e+c^2\,d^2-3\,a\,c\,e^2\right)}{c^3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x*((b*e^4 + 8*c*d*e^3)/c^2 - (4*b*e^4)/c^2) - ((c^3*d^4 - a*b^2*e^4 + a^2*c*e^4 - 6*a*c^2*d^2*e^2 + 4*a*b*c*d*e^3)/c - (x*(b^3*e^4 - 4*c^3*d^3*e + 6*b*c^2*d^2*e^2 - 2*a*b*c*e^4 + 4*a*c^2*d*e^3 - 4*b^2*c*d*e^3))/c)/(a*c^2 + c^3*x^2 + b*c^2*x) - (log(a + b*x + c*x^2)*(4*b^4*e^4 + 16*a^2*c^2*e^4 - 48*a*c^3*d^2*e^2 + 12*b^2*c^2*d^2*e^2 - 20*a*b^2*c*e^4 - 12*b^3*c*d*e^3 + 48*a*b*c^2*d*e^3))/(2*(4*a*c^4 - b^2*c^3)) + (e^4*x^2)/c - (4*e*atan((b + 2*c*x)/(4*a*c - b^2)^(1/2))*(b*e - 2*c*d)*(b^2*e^2 + c^2*d^2 - 3*a*c*e^2 - b*c*d*e))/(c^3*(4*a*c - b^2)^(1/2))","B"
1533,1,226,126,1.947676,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^2,x)","\frac{2\,e^3\,x}{c}-\frac{\frac{c^2\,d^3-3\,a\,c\,d\,e^2+a\,b\,e^3}{c}+\frac{x\,\left(b^2\,e^3-3\,b\,c\,d\,e^2+3\,c^2\,d^2\,e-a\,c\,e^3\right)}{c}}{c^2\,x^2+b\,c\,x+a\,c}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(3\,b^3\,e^3-6\,d\,b^2\,c\,e^2-12\,a\,b\,c\,e^3+24\,a\,d\,c^2\,e^2\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}+\frac{3\,e\,\mathrm{atan}\left(\frac{b+2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(b^2\,e^2-2\,b\,c\,d\,e+2\,c^2\,d^2-2\,a\,c\,e^2\right)}{c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*e^3*x)/c - ((c^2*d^3 + a*b*e^3 - 3*a*c*d*e^2)/c + (x*(b^2*e^3 + 3*c^2*d^2*e - a*c*e^3 - 3*b*c*d*e^2))/c)/(a*c + c^2*x^2 + b*c*x) + (log(a + b*x + c*x^2)*(3*b^3*e^3 - 12*a*b*c*e^3 + 24*a*c^2*d*e^2 - 6*b^2*c*d*e^2))/(2*(4*a*c^3 - b^2*c^2)) + (3*e*atan((b + 2*c*x)/(4*a*c - b^2)^(1/2))*(b^2*e^2 + 2*c^2*d^2 - 2*a*c*e^2 - 2*b*c*d*e))/(c^2*(4*a*c - b^2)^(1/2))","B"
1534,1,248,87,0.181015,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^2,x)","\frac{a\,e^2}{c^2\,x^2+b\,c\,x+a\,c}-\frac{d^2}{c\,x^2+b\,x+a}+\frac{b\,e^2\,x}{c^2\,x^2+b\,c\,x+a\,c}-\frac{2\,d\,e\,x}{c\,x^2+b\,x+a}-\frac{b^2\,e^2\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}+\frac{4\,d\,e\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}-\frac{2\,b\,e^2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}+\frac{4\,a\,c\,e^2\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}","Not used",1,"(a*e^2)/(a*c + c^2*x^2 + b*c*x) - d^2/(a + b*x + c*x^2) + (b*e^2*x)/(a*c + c^2*x^2 + b*c*x) - (2*d*e*x)/(a + b*x + c*x^2) - (b^2*e^2*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c) + (4*d*e*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2) - (2*b*e^2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) + (4*a*c*e^2*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c)","B"
1535,1,73,55,0.063485,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^2,x)","\frac{2\,e\,\mathrm{atan}\left(\frac{\frac{b\,e}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,e\,x}{\sqrt{4\,a\,c-b^2}}}{e}\right)}{\sqrt{4\,a\,c-b^2}}-\frac{d+e\,x}{c\,x^2+b\,x+a}","Not used",1,"(2*e*atan(((b*e)/(4*a*c - b^2)^(1/2) + (2*c*e*x)/(4*a*c - b^2)^(1/2))/e))/(4*a*c - b^2)^(1/2) - (d + e*x)/(a + b*x + c*x^2)","B"
1536,1,14,14,0.030970,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2)^2,x)","-\frac{1}{c\,x^2+b\,x+a}","Not used",1,"-1/(a + b*x + c*x^2)","B"
1537,1,1833,236,7.932780,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^2),x)","\frac{\frac{b\,e-c\,d}{c\,d^2-b\,d\,e+a\,e^2}+\frac{c\,e\,x}{c\,d^2-b\,d\,e+a\,e^2}}{c\,x^2+b\,x+a}+\frac{\ln\left(d+e\,x\right)\,\left(b\,e^3-2\,c\,d\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{\ln\left(a\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+8\,a\,b^5\,e^4+8\,b^6\,e^4\,x-4\,c^3\,d^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+4\,b^3\,c^3\,d^4+4\,b^3\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-60\,a^2\,b^3\,c\,e^4+112\,a^3\,b\,c^2\,e^4+256\,a^2\,c^4\,d^3\,e-256\,a^3\,c^3\,d\,e^3+8\,b^4\,c^2\,d^3\,e-4\,b^5\,c\,d^2\,e^2-32\,a^3\,c^3\,e^4\,x+8\,b^2\,c^4\,d^4\,x+10\,b\,d\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+4\,b\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-16\,a\,b\,c^4\,d^4-32\,a\,c^5\,d^4\,x+7\,a\,b^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-10\,b^3\,d\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}-14\,c\,d^2\,e^2\,{\left(b^2-4\,a\,c\right)}^{5/2}-8\,c\,d\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-24\,a\,b^4\,c\,d\,e^3-64\,a\,b^4\,c\,e^4\,x-32\,b^5\,c\,d\,e^3\,x-8\,b\,c^2\,d^3\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}-32\,c^3\,d^3\,e\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-96\,a\,b^2\,c^3\,d^3\,e-16\,b^3\,c^3\,d^3\,e\,x+18\,b^2\,c\,d^2\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+56\,a\,b^3\,c^2\,d^2\,e^2-160\,a^2\,b\,c^3\,d^2\,e^2+160\,a^2\,b^2\,c^2\,d\,e^3+136\,a^2\,b^2\,c^2\,e^4\,x+448\,a^2\,c^4\,d^2\,e^2\,x+40\,b^4\,c^2\,d^2\,e^2\,x+48\,b\,c^2\,d^2\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-272\,a\,b^2\,c^3\,d^2\,e^2\,x+64\,a\,b\,c^4\,d^3\,e\,x-24\,b^2\,c\,d\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+240\,a\,b^3\,c^2\,d\,e^3\,x-448\,a^2\,b\,c^3\,d\,e^3\,x\right)\,\left(e^3\,\left(\frac{b^3}{2}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)-a\,\left(e^3\,\left(2\,b\,c+c\,\sqrt{b^2-4\,a\,c}\right)-4\,c^2\,d\,e^2\right)-e^2\,\left(b^2\,c\,d+b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)+c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}-\frac{\ln\left(a\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-8\,a\,b^5\,e^4-8\,b^6\,e^4\,x-4\,c^3\,d^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-4\,b^3\,c^3\,d^4+4\,b^3\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+60\,a^2\,b^3\,c\,e^4-112\,a^3\,b\,c^2\,e^4-256\,a^2\,c^4\,d^3\,e+256\,a^3\,c^3\,d\,e^3-8\,b^4\,c^2\,d^3\,e+4\,b^5\,c\,d^2\,e^2+32\,a^3\,c^3\,e^4\,x-8\,b^2\,c^4\,d^4\,x+10\,b\,d\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+4\,b\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+16\,a\,b\,c^4\,d^4+32\,a\,c^5\,d^4\,x+7\,a\,b^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-10\,b^3\,d\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}-14\,c\,d^2\,e^2\,{\left(b^2-4\,a\,c\right)}^{5/2}-8\,c\,d\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+24\,a\,b^4\,c\,d\,e^3+64\,a\,b^4\,c\,e^4\,x+32\,b^5\,c\,d\,e^3\,x-8\,b\,c^2\,d^3\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}-32\,c^3\,d^3\,e\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+96\,a\,b^2\,c^3\,d^3\,e+16\,b^3\,c^3\,d^3\,e\,x+18\,b^2\,c\,d^2\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-56\,a\,b^3\,c^2\,d^2\,e^2+160\,a^2\,b\,c^3\,d^2\,e^2-160\,a^2\,b^2\,c^2\,d\,e^3-136\,a^2\,b^2\,c^2\,e^4\,x-448\,a^2\,c^4\,d^2\,e^2\,x-40\,b^4\,c^2\,d^2\,e^2\,x+48\,b\,c^2\,d^2\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+272\,a\,b^2\,c^3\,d^2\,e^2\,x-64\,a\,b\,c^4\,d^3\,e\,x-24\,b^2\,c\,d\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-240\,a\,b^3\,c^2\,d\,e^3\,x+448\,a^2\,b\,c^3\,d\,e^3\,x\right)\,\left(a\,\left(e^3\,\left(2\,b\,c-c\,\sqrt{b^2-4\,a\,c}\right)-4\,c^2\,d\,e^2\right)-e^3\,\left(\frac{b^3}{2}-\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)+e^2\,\left(b^2\,c\,d-b\,c\,d\,\sqrt{b^2-4\,a\,c}\right)+c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}","Not used",1,"((b*e - c*d)/(a*e^2 + c*d^2 - b*d*e) + (c*e*x)/(a*e^2 + c*d^2 - b*d*e))/(a + b*x + c*x^2) + (log(d + e*x)*(b*e^3 - 2*c*d*e^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (log(a*e^4*(b^2 - 4*a*c)^(5/2) + 8*a*b^5*e^4 + 8*b^6*e^4*x - 4*c^3*d^4*(b^2 - 4*a*c)^(3/2) + 4*b^3*c^3*d^4 + 4*b^3*e^4*x*(b^2 - 4*a*c)^(3/2) - 60*a^2*b^3*c*e^4 + 112*a^3*b*c^2*e^4 + 256*a^2*c^4*d^3*e - 256*a^3*c^3*d*e^3 + 8*b^4*c^2*d^3*e - 4*b^5*c*d^2*e^2 - 32*a^3*c^3*e^4*x + 8*b^2*c^4*d^4*x + 10*b*d*e^3*(b^2 - 4*a*c)^(5/2) + 4*b*e^4*x*(b^2 - 4*a*c)^(5/2) - 16*a*b*c^4*d^4 - 32*a*c^5*d^4*x + 7*a*b^2*e^4*(b^2 - 4*a*c)^(3/2) - 10*b^3*d*e^3*(b^2 - 4*a*c)^(3/2) - 14*c*d^2*e^2*(b^2 - 4*a*c)^(5/2) - 8*c*d*e^3*x*(b^2 - 4*a*c)^(5/2) - 24*a*b^4*c*d*e^3 - 64*a*b^4*c*e^4*x - 32*b^5*c*d*e^3*x - 8*b*c^2*d^3*e*(b^2 - 4*a*c)^(3/2) - 32*c^3*d^3*e*x*(b^2 - 4*a*c)^(3/2) - 96*a*b^2*c^3*d^3*e - 16*b^3*c^3*d^3*e*x + 18*b^2*c*d^2*e^2*(b^2 - 4*a*c)^(3/2) + 56*a*b^3*c^2*d^2*e^2 - 160*a^2*b*c^3*d^2*e^2 + 160*a^2*b^2*c^2*d*e^3 + 136*a^2*b^2*c^2*e^4*x + 448*a^2*c^4*d^2*e^2*x + 40*b^4*c^2*d^2*e^2*x + 48*b*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(3/2) - 272*a*b^2*c^3*d^2*e^2*x + 64*a*b*c^4*d^3*e*x - 24*b^2*c*d*e^3*x*(b^2 - 4*a*c)^(3/2) + 240*a*b^3*c^2*d*e^3*x - 448*a^2*b*c^3*d*e^3*x)*(e^3*(b^3/2 + (b^2*(b^2 - 4*a*c)^(1/2))/2) - a*(e^3*(2*b*c + c*(b^2 - 4*a*c)^(1/2)) - 4*c^2*d*e^2) - e^2*(b^2*c*d + b*c*d*(b^2 - 4*a*c)^(1/2)) + c^2*d^2*e*(b^2 - 4*a*c)^(1/2)))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2) - (log(a*e^4*(b^2 - 4*a*c)^(5/2) - 8*a*b^5*e^4 - 8*b^6*e^4*x - 4*c^3*d^4*(b^2 - 4*a*c)^(3/2) - 4*b^3*c^3*d^4 + 4*b^3*e^4*x*(b^2 - 4*a*c)^(3/2) + 60*a^2*b^3*c*e^4 - 112*a^3*b*c^2*e^4 - 256*a^2*c^4*d^3*e + 256*a^3*c^3*d*e^3 - 8*b^4*c^2*d^3*e + 4*b^5*c*d^2*e^2 + 32*a^3*c^3*e^4*x - 8*b^2*c^4*d^4*x + 10*b*d*e^3*(b^2 - 4*a*c)^(5/2) + 4*b*e^4*x*(b^2 - 4*a*c)^(5/2) + 16*a*b*c^4*d^4 + 32*a*c^5*d^4*x + 7*a*b^2*e^4*(b^2 - 4*a*c)^(3/2) - 10*b^3*d*e^3*(b^2 - 4*a*c)^(3/2) - 14*c*d^2*e^2*(b^2 - 4*a*c)^(5/2) - 8*c*d*e^3*x*(b^2 - 4*a*c)^(5/2) + 24*a*b^4*c*d*e^3 + 64*a*b^4*c*e^4*x + 32*b^5*c*d*e^3*x - 8*b*c^2*d^3*e*(b^2 - 4*a*c)^(3/2) - 32*c^3*d^3*e*x*(b^2 - 4*a*c)^(3/2) + 96*a*b^2*c^3*d^3*e + 16*b^3*c^3*d^3*e*x + 18*b^2*c*d^2*e^2*(b^2 - 4*a*c)^(3/2) - 56*a*b^3*c^2*d^2*e^2 + 160*a^2*b*c^3*d^2*e^2 - 160*a^2*b^2*c^2*d*e^3 - 136*a^2*b^2*c^2*e^4*x - 448*a^2*c^4*d^2*e^2*x - 40*b^4*c^2*d^2*e^2*x + 48*b*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(3/2) + 272*a*b^2*c^3*d^2*e^2*x - 64*a*b*c^4*d^3*e*x - 24*b^2*c*d*e^3*x*(b^2 - 4*a*c)^(3/2) - 240*a*b^3*c^2*d*e^3*x + 448*a^2*b*c^3*d*e^3*x)*(a*(e^3*(2*b*c - c*(b^2 - 4*a*c)^(1/2)) - 4*c^2*d*e^2) - e^3*(b^3/2 - (b^2*(b^2 - 4*a*c)^(1/2))/2) + e^2*(b^2*c*d - b*c*d*(b^2 - 4*a*c)^(1/2)) + c^2*d^2*e*(b^2 - 4*a*c)^(1/2)))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)","B"
1538,1,3631,327,8.681259,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^2),x)","\frac{\frac{x\,\left(-2\,b^2\,e^3+3\,b\,c\,d\,e^2+c^2\,d^2\,e+a\,c\,e^3\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{b^2\,d\,e^2-2\,b\,c\,d^2\,e+a\,b\,e^3+c^2\,d^3-3\,a\,c\,d\,e^2}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{2\,x^2\,\left(2\,c^2\,d\,e^2-b\,c\,e^3\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}}{c\,e\,x^3+\left(b\,e+c\,d\right)\,x^2+\left(a\,e+b\,d\right)\,x+a\,d}+\frac{\ln\left(d+e\,x\right)\,\left(e^4\,\left(2\,a\,c-2\,b^2\right)-6\,c^2\,d^2\,e^2+6\,b\,c\,d\,e^3\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}+\frac{\ln\left(\frac{27\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{7/2}}{16}+\frac{9\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{7/2}}{16}+8\,a\,b^6\,e^7-4\,b\,c^6\,d^7+8\,b^7\,e^7\,x-8\,c^7\,d^7\,x+4\,c^6\,d^7\,\sqrt{b^2-4\,a\,c}-72\,a^4\,c^3\,e^7+\frac{57\,b^2\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{16}+\frac{51\,b^4\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{16}+\frac{11\,b^6\,e^7\,x\,\sqrt{b^2-4\,a\,c}}{16}-60\,a^2\,b^4\,c\,e^7-8\,b^2\,c^5\,d^6\,e-4\,b^6\,c\,d^2\,e^5+\frac{75\,c^2\,d^3\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+25\,c^4\,d^5\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+132\,a^3\,b^2\,c^2\,e^7-408\,a^2\,c^5\,d^4\,e^3+456\,a^3\,c^4\,d^2\,e^5+20\,b^3\,c^4\,d^5\,e^2-28\,b^4\,c^3\,d^4\,e^3+16\,b^5\,c^2\,d^3\,e^4+\frac{9\,a\,b\,e^7\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+88\,a\,c^6\,d^6\,e+\frac{9\,a\,b^3\,e^7\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+\frac{5\,a\,b^5\,e^7\,\sqrt{b^2-4\,a\,c}}{4}+\frac{111\,b^2\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}}{16}-\frac{79\,b^4\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{3/2}}{16}-\frac{59\,b^6\,d\,e^6\,\sqrt{b^2-4\,a\,c}}{16}-40\,a\,b^5\,c\,d\,e^6+\frac{23\,b^2\,c^2\,d^3\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-45\,b^2\,c^4\,d^5\,e^2\,\sqrt{b^2-4\,a\,c}+65\,b^3\,c^3\,d^4\,e^3\,\sqrt{b^2-4\,a\,c}-\frac{185\,b^4\,c^2\,d^3\,e^4\,\sqrt{b^2-4\,a\,c}}{4}-64\,a\,b^5\,c\,e^7\,x+28\,b\,c^6\,d^6\,e\,x-48\,b^6\,c\,d\,e^6\,x-504\,a^2\,b^2\,c^3\,d^2\,e^5-21\,b\,c\,d^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+8\,b\,c^5\,d^6\,e\,\sqrt{b^2-4\,a\,c}+44\,c^6\,d^6\,e\,x\,\sqrt{b^2-4\,a\,c}-164\,a\,b\,c^5\,d^5\,e^2-348\,a^3\,b\,c^3\,d\,e^6-108\,a^3\,b\,c^3\,e^7\,x+200\,a\,c^6\,d^5\,e^2\,x+216\,a^3\,c^4\,d\,e^6\,x-37\,b\,c^3\,d^4\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+7\,b^3\,c\,d^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}+18\,b^5\,c\,d^2\,e^5\,\sqrt{b^2-4\,a\,c}+\frac{57\,c^2\,d^2\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+51\,c^4\,d^4\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+284\,a\,b^2\,c^4\,d^4\,e^3-228\,a\,b^3\,c^3\,d^3\,e^4+124\,a\,b^4\,c^2\,d^2\,e^5+516\,a^2\,b\,c^4\,d^3\,e^4+240\,a^2\,b^3\,c^2\,d\,e^6+156\,a^2\,b^3\,c^2\,e^7\,x-600\,a^2\,c^5\,d^3\,e^4\,x-92\,b^2\,c^5\,d^5\,e^2\,x+160\,b^3\,c^4\,d^4\,e^3\,x-180\,b^4\,c^3\,d^3\,e^4\,x+124\,b^5\,c^2\,d^2\,e^5\,x-102\,b\,c^3\,d^3\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-132\,b\,c^5\,d^5\,e^2\,x\,\sqrt{b^2-4\,a\,c}+800\,a\,b^2\,c^4\,d^3\,e^4\,x-700\,a\,b^3\,c^3\,d^2\,e^5\,x+900\,a^2\,b\,c^4\,d^2\,e^5\,x-612\,a^2\,b^2\,c^3\,d\,e^6\,x-\frac{57\,b\,c\,d\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+\frac{153\,b^2\,c^2\,d^2\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+165\,b^2\,c^4\,d^4\,e^3\,x\,\sqrt{b^2-4\,a\,c}-110\,b^3\,c^3\,d^3\,e^4\,x\,\sqrt{b^2-4\,a\,c}+\frac{165\,b^4\,c^2\,d^2\,e^5\,x\,\sqrt{b^2-4\,a\,c}}{4}-\frac{51\,b^3\,c\,d\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-\frac{33\,b^5\,c\,d\,e^6\,x\,\sqrt{b^2-4\,a\,c}}{4}-500\,a\,b\,c^5\,d^4\,e^3\,x+328\,a\,b^4\,c^2\,d\,e^6\,x\right)\,\left(e^3\,\left(\frac{3\,c\,d\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-3\,b\,c\,d\,\left(4\,a\,c-b^2\right)+\frac{3\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)-e^4\,\left(\frac{{\left(4\,a\,c-b^2\right)}^2}{4}+\frac{3\,b\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}-\frac{3\,b^2\,\left(4\,a\,c-b^2\right)}{4}+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{4}\right)+e^2\,\left(3\,c^2\,d^2\,\left(4\,a\,c-b^2\right)-3\,b\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}\right)+2\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}\right)}{\left(4\,a\,c-b^2\right)\,\left(\left(4\,a\,c-b^2\right)\,\left(\frac{3\,c\,d^4\,e^2}{4}-\frac{3\,b\,d^3\,e^3}{2}+\frac{3\,a\,d^2\,e^4}{4}\right)+a^3\,e^6+c^3\,d^6-\frac{5\,b^3\,d^3\,e^3}{2}+\frac{15\,a\,b^2\,d^2\,e^4}{4}+\frac{15\,b^2\,c\,d^4\,e^2}{4}-3\,a^2\,b\,d\,e^5-3\,b\,c^2\,d^5\,e\right)}-\frac{\ln\left(\frac{27\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{7/2}}{16}+\frac{9\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{7/2}}{16}-8\,a\,b^6\,e^7+4\,b\,c^6\,d^7-8\,b^7\,e^7\,x+8\,c^7\,d^7\,x+4\,c^6\,d^7\,\sqrt{b^2-4\,a\,c}+72\,a^4\,c^3\,e^7+\frac{57\,b^2\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{16}+\frac{51\,b^4\,e^7\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{16}+\frac{11\,b^6\,e^7\,x\,\sqrt{b^2-4\,a\,c}}{16}+60\,a^2\,b^4\,c\,e^7+8\,b^2\,c^5\,d^6\,e+4\,b^6\,c\,d^2\,e^5+\frac{75\,c^2\,d^3\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+25\,c^4\,d^5\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-132\,a^3\,b^2\,c^2\,e^7+408\,a^2\,c^5\,d^4\,e^3-456\,a^3\,c^4\,d^2\,e^5-20\,b^3\,c^4\,d^5\,e^2+28\,b^4\,c^3\,d^4\,e^3-16\,b^5\,c^2\,d^3\,e^4+\frac{9\,a\,b\,e^7\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}-88\,a\,c^6\,d^6\,e+\frac{9\,a\,b^3\,e^7\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+\frac{5\,a\,b^5\,e^7\,\sqrt{b^2-4\,a\,c}}{4}+\frac{111\,b^2\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}}{16}-\frac{79\,b^4\,d\,e^6\,{\left(b^2-4\,a\,c\right)}^{3/2}}{16}-\frac{59\,b^6\,d\,e^6\,\sqrt{b^2-4\,a\,c}}{16}+40\,a\,b^5\,c\,d\,e^6+\frac{23\,b^2\,c^2\,d^3\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-45\,b^2\,c^4\,d^5\,e^2\,\sqrt{b^2-4\,a\,c}+65\,b^3\,c^3\,d^4\,e^3\,\sqrt{b^2-4\,a\,c}-\frac{185\,b^4\,c^2\,d^3\,e^4\,\sqrt{b^2-4\,a\,c}}{4}+64\,a\,b^5\,c\,e^7\,x-28\,b\,c^6\,d^6\,e\,x+48\,b^6\,c\,d\,e^6\,x+504\,a^2\,b^2\,c^3\,d^2\,e^5-21\,b\,c\,d^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+8\,b\,c^5\,d^6\,e\,\sqrt{b^2-4\,a\,c}+44\,c^6\,d^6\,e\,x\,\sqrt{b^2-4\,a\,c}+164\,a\,b\,c^5\,d^5\,e^2+348\,a^3\,b\,c^3\,d\,e^6+108\,a^3\,b\,c^3\,e^7\,x-200\,a\,c^6\,d^5\,e^2\,x-216\,a^3\,c^4\,d\,e^6\,x-37\,b\,c^3\,d^4\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+7\,b^3\,c\,d^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}+18\,b^5\,c\,d^2\,e^5\,\sqrt{b^2-4\,a\,c}+\frac{57\,c^2\,d^2\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+51\,c^4\,d^4\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-284\,a\,b^2\,c^4\,d^4\,e^3+228\,a\,b^3\,c^3\,d^3\,e^4-124\,a\,b^4\,c^2\,d^2\,e^5-516\,a^2\,b\,c^4\,d^3\,e^4-240\,a^2\,b^3\,c^2\,d\,e^6-156\,a^2\,b^3\,c^2\,e^7\,x+600\,a^2\,c^5\,d^3\,e^4\,x+92\,b^2\,c^5\,d^5\,e^2\,x-160\,b^3\,c^4\,d^4\,e^3\,x+180\,b^4\,c^3\,d^3\,e^4\,x-124\,b^5\,c^2\,d^2\,e^5\,x-102\,b\,c^3\,d^3\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-132\,b\,c^5\,d^5\,e^2\,x\,\sqrt{b^2-4\,a\,c}-800\,a\,b^2\,c^4\,d^3\,e^4\,x+700\,a\,b^3\,c^3\,d^2\,e^5\,x-900\,a^2\,b\,c^4\,d^2\,e^5\,x+612\,a^2\,b^2\,c^3\,d\,e^6\,x-\frac{57\,b\,c\,d\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}}{4}+\frac{153\,b^2\,c^2\,d^2\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+165\,b^2\,c^4\,d^4\,e^3\,x\,\sqrt{b^2-4\,a\,c}-110\,b^3\,c^3\,d^3\,e^4\,x\,\sqrt{b^2-4\,a\,c}+\frac{165\,b^4\,c^2\,d^2\,e^5\,x\,\sqrt{b^2-4\,a\,c}}{4}-\frac{51\,b^3\,c\,d\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-\frac{33\,b^5\,c\,d\,e^6\,x\,\sqrt{b^2-4\,a\,c}}{4}+500\,a\,b\,c^5\,d^4\,e^3\,x-328\,a\,b^4\,c^2\,d\,e^6\,x\right)\,\left(e^3\,\left(\frac{3\,c\,d\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+3\,b\,c\,d\,\left(4\,a\,c-b^2\right)+\frac{3\,b^2\,c\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)-e^4\,\left(\frac{3\,b\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}-\frac{{\left(4\,a\,c-b^2\right)}^2}{4}+\frac{3\,b^2\,\left(4\,a\,c-b^2\right)}{4}+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{4}\right)-e^2\,\left(3\,c^2\,d^2\,\left(4\,a\,c-b^2\right)+3\,b\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}\right)+2\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}\right)}{\left(4\,a\,c-b^2\right)\,\left(\left(4\,a\,c-b^2\right)\,\left(\frac{3\,c\,d^4\,e^2}{4}-\frac{3\,b\,d^3\,e^3}{2}+\frac{3\,a\,d^2\,e^4}{4}\right)+a^3\,e^6+c^3\,d^6-\frac{5\,b^3\,d^3\,e^3}{2}+\frac{15\,a\,b^2\,d^2\,e^4}{4}+\frac{15\,b^2\,c\,d^4\,e^2}{4}-3\,a^2\,b\,d\,e^5-3\,b\,c^2\,d^5\,e\right)}","Not used",1,"((x*(c^2*d^2*e - 2*b^2*e^3 + a*c*e^3 + 3*b*c*d*e^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (c^2*d^3 + b^2*d*e^2 + a*b*e^3 - 3*a*c*d*e^2 - 2*b*c*d^2*e)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (2*x^2*(2*c^2*d*e^2 - b*c*e^3))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))/(a*d + x*(a*e + b*d) + x^2*(b*e + c*d) + c*e*x^3) + (log(d + e*x)*(e^4*(2*a*c - 2*b^2) - 6*c^2*d^2*e^2 + 6*b*c*d*e^3))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3) + (log((27*d*e^6*(b^2 - 4*a*c)^(7/2))/16 + (9*e^7*x*(b^2 - 4*a*c)^(7/2))/16 + 8*a*b^6*e^7 - 4*b*c^6*d^7 + 8*b^7*e^7*x - 8*c^7*d^7*x + 4*c^6*d^7*(b^2 - 4*a*c)^(1/2) - 72*a^4*c^3*e^7 + (57*b^2*e^7*x*(b^2 - 4*a*c)^(5/2))/16 + (51*b^4*e^7*x*(b^2 - 4*a*c)^(3/2))/16 + (11*b^6*e^7*x*(b^2 - 4*a*c)^(1/2))/16 - 60*a^2*b^4*c*e^7 - 8*b^2*c^5*d^6*e - 4*b^6*c*d^2*e^5 + (75*c^2*d^3*e^4*(b^2 - 4*a*c)^(5/2))/4 + 25*c^4*d^5*e^2*(b^2 - 4*a*c)^(3/2) + 132*a^3*b^2*c^2*e^7 - 408*a^2*c^5*d^4*e^3 + 456*a^3*c^4*d^2*e^5 + 20*b^3*c^4*d^5*e^2 - 28*b^4*c^3*d^4*e^3 + 16*b^5*c^2*d^3*e^4 + (9*a*b*e^7*(b^2 - 4*a*c)^(5/2))/4 + 88*a*c^6*d^6*e + (9*a*b^3*e^7*(b^2 - 4*a*c)^(3/2))/2 + (5*a*b^5*e^7*(b^2 - 4*a*c)^(1/2))/4 + (111*b^2*d*e^6*(b^2 - 4*a*c)^(5/2))/16 - (79*b^4*d*e^6*(b^2 - 4*a*c)^(3/2))/16 - (59*b^6*d*e^6*(b^2 - 4*a*c)^(1/2))/16 - 40*a*b^5*c*d*e^6 + (23*b^2*c^2*d^3*e^4*(b^2 - 4*a*c)^(3/2))/2 - 45*b^2*c^4*d^5*e^2*(b^2 - 4*a*c)^(1/2) + 65*b^3*c^3*d^4*e^3*(b^2 - 4*a*c)^(1/2) - (185*b^4*c^2*d^3*e^4*(b^2 - 4*a*c)^(1/2))/4 - 64*a*b^5*c*e^7*x + 28*b*c^6*d^6*e*x - 48*b^6*c*d*e^6*x - 504*a^2*b^2*c^3*d^2*e^5 - 21*b*c*d^2*e^5*(b^2 - 4*a*c)^(5/2) + 8*b*c^5*d^6*e*(b^2 - 4*a*c)^(1/2) + 44*c^6*d^6*e*x*(b^2 - 4*a*c)^(1/2) - 164*a*b*c^5*d^5*e^2 - 348*a^3*b*c^3*d*e^6 - 108*a^3*b*c^3*e^7*x + 200*a*c^6*d^5*e^2*x + 216*a^3*c^4*d*e^6*x - 37*b*c^3*d^4*e^3*(b^2 - 4*a*c)^(3/2) + 7*b^3*c*d^2*e^5*(b^2 - 4*a*c)^(3/2) + 18*b^5*c*d^2*e^5*(b^2 - 4*a*c)^(1/2) + (57*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(5/2))/4 + 51*c^4*d^4*e^3*x*(b^2 - 4*a*c)^(3/2) + 284*a*b^2*c^4*d^4*e^3 - 228*a*b^3*c^3*d^3*e^4 + 124*a*b^4*c^2*d^2*e^5 + 516*a^2*b*c^4*d^3*e^4 + 240*a^2*b^3*c^2*d*e^6 + 156*a^2*b^3*c^2*e^7*x - 600*a^2*c^5*d^3*e^4*x - 92*b^2*c^5*d^5*e^2*x + 160*b^3*c^4*d^4*e^3*x - 180*b^4*c^3*d^3*e^4*x + 124*b^5*c^2*d^2*e^5*x - 102*b*c^3*d^3*e^4*x*(b^2 - 4*a*c)^(3/2) - 132*b*c^5*d^5*e^2*x*(b^2 - 4*a*c)^(1/2) + 800*a*b^2*c^4*d^3*e^4*x - 700*a*b^3*c^3*d^2*e^5*x + 900*a^2*b*c^4*d^2*e^5*x - 612*a^2*b^2*c^3*d*e^6*x - (57*b*c*d*e^6*x*(b^2 - 4*a*c)^(5/2))/4 + (153*b^2*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(3/2))/2 + 165*b^2*c^4*d^4*e^3*x*(b^2 - 4*a*c)^(1/2) - 110*b^3*c^3*d^3*e^4*x*(b^2 - 4*a*c)^(1/2) + (165*b^4*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(1/2))/4 - (51*b^3*c*d*e^6*x*(b^2 - 4*a*c)^(3/2))/2 - (33*b^5*c*d*e^6*x*(b^2 - 4*a*c)^(1/2))/4 - 500*a*b*c^5*d^4*e^3*x + 328*a*b^4*c^2*d*e^6*x)*(e^3*((3*c*d*(b^2 - 4*a*c)^(3/2))/2 - 3*b*c*d*(4*a*c - b^2) + (3*b^2*c*d*(b^2 - 4*a*c)^(1/2))/2) - e^4*((4*a*c - b^2)^2/4 + (3*b*(b^2 - 4*a*c)^(3/2))/4 - (3*b^2*(4*a*c - b^2))/4 + (b^3*(b^2 - 4*a*c)^(1/2))/4) + e^2*(3*c^2*d^2*(4*a*c - b^2) - 3*b*c^2*d^2*(b^2 - 4*a*c)^(1/2)) + 2*c^3*d^3*e*(b^2 - 4*a*c)^(1/2)))/((4*a*c - b^2)*((4*a*c - b^2)*((3*a*d^2*e^4)/4 - (3*b*d^3*e^3)/2 + (3*c*d^4*e^2)/4) + a^3*e^6 + c^3*d^6 - (5*b^3*d^3*e^3)/2 + (15*a*b^2*d^2*e^4)/4 + (15*b^2*c*d^4*e^2)/4 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e)) - (log((27*d*e^6*(b^2 - 4*a*c)^(7/2))/16 + (9*e^7*x*(b^2 - 4*a*c)^(7/2))/16 - 8*a*b^6*e^7 + 4*b*c^6*d^7 - 8*b^7*e^7*x + 8*c^7*d^7*x + 4*c^6*d^7*(b^2 - 4*a*c)^(1/2) + 72*a^4*c^3*e^7 + (57*b^2*e^7*x*(b^2 - 4*a*c)^(5/2))/16 + (51*b^4*e^7*x*(b^2 - 4*a*c)^(3/2))/16 + (11*b^6*e^7*x*(b^2 - 4*a*c)^(1/2))/16 + 60*a^2*b^4*c*e^7 + 8*b^2*c^5*d^6*e + 4*b^6*c*d^2*e^5 + (75*c^2*d^3*e^4*(b^2 - 4*a*c)^(5/2))/4 + 25*c^4*d^5*e^2*(b^2 - 4*a*c)^(3/2) - 132*a^3*b^2*c^2*e^7 + 408*a^2*c^5*d^4*e^3 - 456*a^3*c^4*d^2*e^5 - 20*b^3*c^4*d^5*e^2 + 28*b^4*c^3*d^4*e^3 - 16*b^5*c^2*d^3*e^4 + (9*a*b*e^7*(b^2 - 4*a*c)^(5/2))/4 - 88*a*c^6*d^6*e + (9*a*b^3*e^7*(b^2 - 4*a*c)^(3/2))/2 + (5*a*b^5*e^7*(b^2 - 4*a*c)^(1/2))/4 + (111*b^2*d*e^6*(b^2 - 4*a*c)^(5/2))/16 - (79*b^4*d*e^6*(b^2 - 4*a*c)^(3/2))/16 - (59*b^6*d*e^6*(b^2 - 4*a*c)^(1/2))/16 + 40*a*b^5*c*d*e^6 + (23*b^2*c^2*d^3*e^4*(b^2 - 4*a*c)^(3/2))/2 - 45*b^2*c^4*d^5*e^2*(b^2 - 4*a*c)^(1/2) + 65*b^3*c^3*d^4*e^3*(b^2 - 4*a*c)^(1/2) - (185*b^4*c^2*d^3*e^4*(b^2 - 4*a*c)^(1/2))/4 + 64*a*b^5*c*e^7*x - 28*b*c^6*d^6*e*x + 48*b^6*c*d*e^6*x + 504*a^2*b^2*c^3*d^2*e^5 - 21*b*c*d^2*e^5*(b^2 - 4*a*c)^(5/2) + 8*b*c^5*d^6*e*(b^2 - 4*a*c)^(1/2) + 44*c^6*d^6*e*x*(b^2 - 4*a*c)^(1/2) + 164*a*b*c^5*d^5*e^2 + 348*a^3*b*c^3*d*e^6 + 108*a^3*b*c^3*e^7*x - 200*a*c^6*d^5*e^2*x - 216*a^3*c^4*d*e^6*x - 37*b*c^3*d^4*e^3*(b^2 - 4*a*c)^(3/2) + 7*b^3*c*d^2*e^5*(b^2 - 4*a*c)^(3/2) + 18*b^5*c*d^2*e^5*(b^2 - 4*a*c)^(1/2) + (57*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(5/2))/4 + 51*c^4*d^4*e^3*x*(b^2 - 4*a*c)^(3/2) - 284*a*b^2*c^4*d^4*e^3 + 228*a*b^3*c^3*d^3*e^4 - 124*a*b^4*c^2*d^2*e^5 - 516*a^2*b*c^4*d^3*e^4 - 240*a^2*b^3*c^2*d*e^6 - 156*a^2*b^3*c^2*e^7*x + 600*a^2*c^5*d^3*e^4*x + 92*b^2*c^5*d^5*e^2*x - 160*b^3*c^4*d^4*e^3*x + 180*b^4*c^3*d^3*e^4*x - 124*b^5*c^2*d^2*e^5*x - 102*b*c^3*d^3*e^4*x*(b^2 - 4*a*c)^(3/2) - 132*b*c^5*d^5*e^2*x*(b^2 - 4*a*c)^(1/2) - 800*a*b^2*c^4*d^3*e^4*x + 700*a*b^3*c^3*d^2*e^5*x - 900*a^2*b*c^4*d^2*e^5*x + 612*a^2*b^2*c^3*d*e^6*x - (57*b*c*d*e^6*x*(b^2 - 4*a*c)^(5/2))/4 + (153*b^2*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(3/2))/2 + 165*b^2*c^4*d^4*e^3*x*(b^2 - 4*a*c)^(1/2) - 110*b^3*c^3*d^3*e^4*x*(b^2 - 4*a*c)^(1/2) + (165*b^4*c^2*d^2*e^5*x*(b^2 - 4*a*c)^(1/2))/4 - (51*b^3*c*d*e^6*x*(b^2 - 4*a*c)^(3/2))/2 - (33*b^5*c*d*e^6*x*(b^2 - 4*a*c)^(1/2))/4 + 500*a*b*c^5*d^4*e^3*x - 328*a*b^4*c^2*d*e^6*x)*(e^3*((3*c*d*(b^2 - 4*a*c)^(3/2))/2 + 3*b*c*d*(4*a*c - b^2) + (3*b^2*c*d*(b^2 - 4*a*c)^(1/2))/2) - e^4*((3*b*(b^2 - 4*a*c)^(3/2))/4 - (4*a*c - b^2)^2/4 + (3*b^2*(4*a*c - b^2))/4 + (b^3*(b^2 - 4*a*c)^(1/2))/4) - e^2*(3*c^2*d^2*(4*a*c - b^2) + 3*b*c^2*d^2*(b^2 - 4*a*c)^(1/2)) + 2*c^3*d^3*e*(b^2 - 4*a*c)^(1/2)))/((4*a*c - b^2)*((4*a*c - b^2)*((3*a*d^2*e^4)/4 - (3*b*d^3*e^3)/2 + (3*c*d^4*e^2)/4) + a^3*e^6 + c^3*d^6 - (5*b^3*d^3*e^3)/2 + (15*a*b^2*d^2*e^4)/4 + (15*b^2*c*d^4*e^2)/4 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e))","B"
1539,1,1148,293,3.017714,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^5)/(a + b*x + c*x^2)^3,x)","\frac{\frac{x^3\,\left(9\,a^2\,c^2\,e^5-17\,a\,b^2\,c\,e^5+50\,a\,b\,c^2\,d\,e^4-50\,a\,c^3\,d^2\,e^3+4\,b^4\,e^5-15\,b^3\,c\,d\,e^4+20\,b^2\,c^2\,d^2\,e^3-10\,b\,c^3\,d^3\,e^2+5\,c^4\,d^4\,e\right)}{4\,a\,c-b^2}+\frac{-23\,a^3\,b\,c\,e^5+60\,a^3\,c^2\,d\,e^4+7\,a^2\,b^3\,e^5-25\,a^2\,b^2\,c\,d\,e^4+30\,a^2\,b\,c^2\,d^2\,e^3-40\,a^2\,c^3\,d^3\,e^2+5\,a\,b\,c^3\,d^4\,e-4\,a\,c^4\,d^5+b^2\,c^3\,d^5}{2\,c\,\left(4\,a\,c-b^2\right)}-\frac{x^2\,\left(13\,a^2\,b\,c^2\,e^5-80\,a^2\,c^3\,d\,e^4+21\,a\,b^3\,c\,e^5-50\,a\,b^2\,c^2\,d\,e^4+30\,a\,b\,c^3\,d^2\,e^3+80\,a\,c^4\,d^3\,e^2-7\,b^5\,e^5+25\,b^4\,c\,d\,e^4-30\,b^3\,c^2\,d^2\,e^3+10\,b^2\,c^3\,d^3\,e^2-15\,b\,c^4\,d^4\,e\right)}{2\,c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(7\,a^3\,c^2\,e^5-26\,a^2\,b^2\,c\,e^5+70\,a^2\,b\,c^2\,d\,e^4-30\,a^2\,c^3\,d^2\,e^3+7\,a\,b^4\,e^5-25\,a\,b^3\,c\,d\,e^4+30\,a\,b^2\,c^2\,d^2\,e^3-30\,a\,b\,c^3\,d^3\,e^2-5\,a\,c^4\,d^4\,e+5\,b^2\,c^3\,d^4\,e\right)}{c\,\left(4\,a\,c-b^2\right)}}{a^2\,c^2+c^4\,x^4+x^2\,\left(b^2\,c^2+2\,a\,c^3\right)+2\,b\,c^3\,x^3+2\,a\,b\,c^2\,x}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-320\,a^3\,b\,c^3\,e^5+640\,d\,a^3\,c^4\,e^4+240\,a^2\,b^3\,c^2\,e^5-480\,d\,a^2\,b^2\,c^3\,e^4-60\,a\,b^5\,c\,e^5+120\,d\,a\,b^4\,c^2\,e^4+5\,b^7\,e^5-10\,d\,b^6\,c\,e^4\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{2\,e^5\,x}{c^2}+\frac{5\,e\,\mathrm{atan}\left(\frac{c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(\frac{5\,e\,\left(b^3\,c^2-4\,a\,b\,c^3\right)\,\left(6\,a^2\,c^2\,e^4-6\,a\,b^2\,c\,e^4+12\,a\,b\,c^2\,d\,e^3-12\,a\,c^3\,d^2\,e^2+b^4\,e^4-2\,b^3\,c\,d\,e^3+4\,b\,c^3\,d^3\,e-2\,c^4\,d^4\right)}{c^5\,{\left(4\,a\,c-b^2\right)}^4}-\frac{10\,e\,x\,\left(6\,a^2\,c^2\,e^4-6\,a\,b^2\,c\,e^4+12\,a\,b\,c^2\,d\,e^3-12\,a\,c^3\,d^2\,e^2+b^4\,e^4-2\,b^3\,c\,d\,e^3+4\,b\,c^3\,d^3\,e-2\,c^4\,d^4\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}{30\,a^2\,c^2\,e^5-30\,a\,b^2\,c\,e^5+60\,a\,b\,c^2\,d\,e^4-60\,a\,c^3\,d^2\,e^3+5\,b^4\,e^5-10\,b^3\,c\,d\,e^4+20\,b\,c^3\,d^3\,e^2-10\,c^4\,d^4\,e}\right)\,\left(6\,a^2\,c^2\,e^4-6\,a\,b^2\,c\,e^4+12\,a\,b\,c^2\,d\,e^3-12\,a\,c^3\,d^2\,e^2+b^4\,e^4-2\,b^3\,c\,d\,e^3+4\,b\,c^3\,d^3\,e-2\,c^4\,d^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((x^3*(4*b^4*e^5 + 5*c^4*d^4*e + 9*a^2*c^2*e^5 - 50*a*c^3*d^2*e^3 - 10*b*c^3*d^3*e^2 + 20*b^2*c^2*d^2*e^3 - 17*a*b^2*c*e^5 - 15*b^3*c*d*e^4 + 50*a*b*c^2*d*e^4))/(4*a*c - b^2) + (7*a^2*b^3*e^5 - 4*a*c^4*d^5 + b^2*c^3*d^5 + 60*a^3*c^2*d*e^4 - 40*a^2*c^3*d^3*e^2 - 23*a^3*b*c*e^5 + 5*a*b*c^3*d^4*e - 25*a^2*b^2*c*d*e^4 + 30*a^2*b*c^2*d^2*e^3)/(2*c*(4*a*c - b^2)) - (x^2*(13*a^2*b*c^2*e^5 - 7*b^5*e^5 + 80*a*c^4*d^3*e^2 - 80*a^2*c^3*d*e^4 + 10*b^2*c^3*d^3*e^2 - 30*b^3*c^2*d^2*e^3 + 21*a*b^3*c*e^5 - 15*b*c^4*d^4*e + 25*b^4*c*d*e^4 + 30*a*b*c^3*d^2*e^3 - 50*a*b^2*c^2*d*e^4))/(2*c*(4*a*c - b^2)) + (x*(7*a*b^4*e^5 + 7*a^3*c^2*e^5 - 26*a^2*b^2*c*e^5 + 5*b^2*c^3*d^4*e - 30*a^2*c^3*d^2*e^3 - 5*a*c^4*d^4*e - 25*a*b^3*c*d*e^4 - 30*a*b*c^3*d^3*e^2 + 70*a^2*b*c^2*d*e^4 + 30*a*b^2*c^2*d^2*e^3))/(c*(4*a*c - b^2)))/(a^2*c^2 + c^4*x^4 + x^2*(2*a*c^3 + b^2*c^2) + 2*b*c^3*x^3 + 2*a*b*c^2*x) + (log(a + b*x + c*x^2)*(5*b^7*e^5 - 320*a^3*b*c^3*e^5 + 640*a^3*c^4*d*e^4 + 240*a^2*b^3*c^2*e^5 - 60*a*b^5*c*e^5 - 10*b^6*c*d*e^4 + 120*a*b^4*c^2*d*e^4 - 480*a^2*b^2*c^3*d*e^4))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (2*e^5*x)/c^2 + (5*e*atan((c^3*(4*a*c - b^2)^(5/2)*((5*e*(b^3*c^2 - 4*a*b*c^3)*(b^4*e^4 - 2*c^4*d^4 + 6*a^2*c^2*e^4 - 12*a*c^3*d^2*e^2 - 6*a*b^2*c*e^4 + 4*b*c^3*d^3*e - 2*b^3*c*d*e^3 + 12*a*b*c^2*d*e^3))/(c^5*(4*a*c - b^2)^4) - (10*e*x*(b^4*e^4 - 2*c^4*d^4 + 6*a^2*c^2*e^4 - 12*a*c^3*d^2*e^2 - 6*a*b^2*c*e^4 + 4*b*c^3*d^3*e - 2*b^3*c*d*e^3 + 12*a*b*c^2*d*e^3))/(c^2*(4*a*c - b^2)^3)))/(5*b^4*e^5 - 10*c^4*d^4*e + 30*a^2*c^2*e^5 - 60*a*c^3*d^2*e^3 + 20*b*c^3*d^3*e^2 - 30*a*b^2*c*e^5 - 10*b^3*c*d*e^4 + 60*a*b*c^2*d*e^4))*(b^4*e^4 - 2*c^4*d^4 + 6*a^2*c^2*e^4 - 12*a*c^3*d^2*e^2 - 6*a*b^2*c*e^4 + 4*b*c^3*d^3*e - 2*b^3*c*d*e^3 + 12*a*b*c^2*d*e^3))/(c^3*(4*a*c - b^2)^(3/2))","B"
1540,1,753,197,2.919781,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^3,x)","\frac{2\,e\,\mathrm{atan}\left(\frac{c^2\,\left(\frac{2\,e\,x\,\left(b\,e-2\,c\,d\right)\,\left(b^2\,e^2+2\,b\,c\,d\,e-2\,c^2\,d^2-6\,a\,c\,e^2\right)}{c\,{\left(4\,a\,c-b^2\right)}^3}-\frac{e\,\left(b\,e-2\,c\,d\right)\,\left(b^3\,c-4\,a\,b\,c^2\right)\,\left(b^2\,e^2+2\,b\,c\,d\,e-2\,c^2\,d^2-6\,a\,c\,e^2\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^4}\right)\,{\left(4\,a\,c-b^2\right)}^{5/2}}{b^3\,e^4-6\,b\,c^2\,d^2\,e^2-6\,a\,b\,c\,e^4+4\,c^3\,d^3\,e+12\,a\,c^2\,d\,e^3}\right)\,\left(b\,e-2\,c\,d\right)\,\left(b^2\,e^2+2\,b\,c\,d\,e-2\,c^2\,d^2-6\,a\,c\,e^2\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-128\,a^3\,c^3\,e^4+96\,a^2\,b^2\,c^2\,e^4-24\,a\,b^4\,c\,e^4+2\,b^6\,e^4\right)}{2\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}-\frac{\frac{x\,\left(-14\,a^2\,b\,c\,e^4+12\,a^2\,c^2\,d\,e^3+5\,a\,b^3\,e^4-12\,a\,b^2\,c\,d\,e^3+18\,a\,b\,c^2\,d^2\,e^2+4\,a\,c^3\,d^3\,e-4\,b^2\,c^2\,d^3\,e\right)}{c^2\,\left(4\,a\,c-b^2\right)}-\frac{12\,a^3\,c\,e^4-5\,a^2\,b^2\,e^4+12\,a^2\,b\,c\,d\,e^3-24\,a^2\,c^2\,d^2\,e^2+4\,a\,b\,c^2\,d^3\,e-4\,a\,c^3\,d^4+b^2\,c^2\,d^4}{2\,c^2\,\left(4\,a\,c-b^2\right)}+\frac{x^2\,\left(-16\,a^2\,c^2\,e^4-10\,a\,b^2\,c\,e^4+12\,a\,b\,c^2\,d\,e^3+48\,a\,c^3\,d^2\,e^2+5\,b^4\,e^4-12\,b^3\,c\,d\,e^3+6\,b^2\,c^2\,d^2\,e^2-12\,b\,c^3\,d^3\,e\right)}{2\,c^2\,\left(4\,a\,c-b^2\right)}+\frac{e\,x^3\,\left(3\,b^3\,e^3-8\,b^2\,c\,d\,e^2+6\,b\,c^2\,d^2\,e-10\,a\,b\,c\,e^3-4\,c^3\,d^3+20\,a\,c^2\,d\,e^2\right)}{c\,\left(4\,a\,c-b^2\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(2*e*atan((c^2*((2*e*x*(b*e - 2*c*d)*(b^2*e^2 - 2*c^2*d^2 - 6*a*c*e^2 + 2*b*c*d*e))/(c*(4*a*c - b^2)^3) - (e*(b*e - 2*c*d)*(b^3*c - 4*a*b*c^2)*(b^2*e^2 - 2*c^2*d^2 - 6*a*c*e^2 + 2*b*c*d*e))/(c^3*(4*a*c - b^2)^4))*(4*a*c - b^2)^(5/2))/(b^3*e^4 + 4*c^3*d^3*e - 6*b*c^2*d^2*e^2 - 6*a*b*c*e^4 + 12*a*c^2*d*e^3))*(b*e - 2*c*d)*(b^2*e^2 - 2*c^2*d^2 - 6*a*c*e^2 + 2*b*c*d*e))/(c^2*(4*a*c - b^2)^(3/2)) - (log(a + b*x + c*x^2)*(2*b^6*e^4 - 128*a^3*c^3*e^4 + 96*a^2*b^2*c^2*e^4 - 24*a*b^4*c*e^4))/(2*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)) - ((x*(5*a*b^3*e^4 + 12*a^2*c^2*d*e^3 - 4*b^2*c^2*d^3*e - 14*a^2*b*c*e^4 + 4*a*c^3*d^3*e - 12*a*b^2*c*d*e^3 + 18*a*b*c^2*d^2*e^2))/(c^2*(4*a*c - b^2)) - (12*a^3*c*e^4 - 4*a*c^3*d^4 - 5*a^2*b^2*e^4 + b^2*c^2*d^4 - 24*a^2*c^2*d^2*e^2 + 4*a*b*c^2*d^3*e + 12*a^2*b*c*d*e^3)/(2*c^2*(4*a*c - b^2)) + (x^2*(5*b^4*e^4 - 16*a^2*c^2*e^4 + 48*a*c^3*d^2*e^2 + 6*b^2*c^2*d^2*e^2 - 10*a*b^2*c*e^4 - 12*b*c^3*d^3*e - 12*b^3*c*d*e^3 + 12*a*b*c^2*d*e^3))/(2*c^2*(4*a*c - b^2)) + (e*x^3*(3*b^3*e^3 - 4*c^3*d^3 - 10*a*b*c*e^3 + 20*a*c^2*d*e^2 + 6*b*c^2*d^2*e - 8*b^2*c*d*e^2))/(c*(4*a*c - b^2)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
1541,1,412,126,2.134313,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^3,x)","\frac{\frac{3\,a^2\,b\,e^3-12\,a^2\,c\,d\,e^2+3\,a\,b\,c\,d^2\,e-4\,a\,c^2\,d^3+b^2\,c\,d^3}{2\,c\,\left(4\,a\,c-b^2\right)}+\frac{e\,x^3\,\left(2\,b^2\,e^2-3\,b\,c\,d\,e+3\,c^2\,d^2-5\,a\,c\,e^2\right)}{4\,a\,c-b^2}-\frac{3\,e\,x\,\left(a^2\,c\,e^2-a\,b^2\,e^2+3\,a\,b\,c\,d\,e+a\,c^2\,d^2-b^2\,c\,d^2\right)}{c\,\left(4\,a\,c-b^2\right)}-\frac{3\,e\,x^2\,\left(-b^3\,e^2+b^2\,c\,d\,e-3\,b\,c^2\,d^2+a\,b\,c\,e^2+8\,a\,c^2\,d\,e\right)}{2\,c\,\left(4\,a\,c-b^2\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{6\,e\,\mathrm{atan}\left(\frac{\left(\frac{3\,e\,\left(b^3-4\,a\,b\,c\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{6\,c\,e\,x\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{3\,c\,d^2\,e-3\,b\,d\,e^2+3\,a\,e^3}\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((3*a^2*b*e^3 - 4*a*c^2*d^3 + b^2*c*d^3 - 12*a^2*c*d*e^2 + 3*a*b*c*d^2*e)/(2*c*(4*a*c - b^2)) + (e*x^3*(2*b^2*e^2 + 3*c^2*d^2 - 5*a*c*e^2 - 3*b*c*d*e))/(4*a*c - b^2) - (3*e*x*(a*c^2*d^2 - a*b^2*e^2 + a^2*c*e^2 - b^2*c*d^2 + 3*a*b*c*d*e))/(c*(4*a*c - b^2)) - (3*e*x^2*(a*b*c*e^2 - 3*b*c^2*d^2 - b^3*e^2 + 8*a*c^2*d*e + b^2*c*d*e))/(2*c*(4*a*c - b^2)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (6*e*atan((((3*e*(b^3 - 4*a*b*c)*(a*e^2 + c*d^2 - b*d*e))/(4*a*c - b^2)^(5/2) - (6*c*e*x*(a*e^2 + c*d^2 - b*d*e))/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(3*a*e^3 - 3*b*d*e^2 + 3*c*d^2*e))*(a*e^2 + c*d^2 - b*d*e))/(4*a*c - b^2)^(3/2)","B"
1542,1,284,112,2.000152,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^3,x)","\frac{2\,e\,\mathrm{atan}\left(\frac{\left(4\,a\,c-b^2\right)\,\left(\frac{e\,\left(b^3-4\,a\,b\,c\right)\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{2\,c\,e\,x\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{b\,e^2-2\,c\,d\,e}\right)\,\left(b\,e-2\,c\,d\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\frac{4\,a^2\,e^2-2\,a\,b\,d\,e+4\,c\,a\,d^2-b^2\,d^2}{2\,\left(4\,a\,c-b^2\right)}-\frac{e\,x^3\,\left(2\,c^2\,d-b\,c\,e\right)}{4\,a\,c-b^2}+\frac{e\,x\,\left(-2\,d\,b^2+3\,a\,e\,b+2\,a\,c\,d\right)}{4\,a\,c-b^2}+\frac{e\,x^2\,\left(e\,b^2-6\,c\,d\,b+8\,a\,c\,e\right)}{2\,\left(4\,a\,c-b^2\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(2*e*atan(((4*a*c - b^2)*((e*(b^3 - 4*a*b*c)*(b*e - 2*c*d))/(4*a*c - b^2)^(5/2) - (2*c*e*x*(b*e - 2*c*d))/(4*a*c - b^2)^(3/2)))/(b*e^2 - 2*c*d*e))*(b*e - 2*c*d))/(4*a*c - b^2)^(3/2) - ((4*a^2*e^2 - b^2*d^2 + 4*a*c*d^2 - 2*a*b*d*e)/(2*(4*a*c - b^2)) - (e*x^3*(2*c^2*d - b*c*e))/(4*a*c - b^2) + (e*x*(3*a*b*e - 2*b^2*d + 2*a*c*d))/(4*a*c - b^2) + (e*x^2*(b^2*e + 8*a*c*e - 6*b*c*d))/(2*(4*a*c - b^2)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
1543,1,213,94,1.906047,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^3,x)","\frac{\frac{d\,b^2+a\,e\,b-4\,a\,c\,d}{2\,\left(4\,a\,c-b^2\right)}+\frac{c^2\,e\,x^3}{4\,a\,c-b^2}-\frac{e\,x\,\left(a\,c-b^2\right)}{4\,a\,c-b^2}+\frac{3\,b\,c\,e\,x^2}{2\,\left(4\,a\,c-b^2\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}-\frac{2\,c\,e\,\mathrm{atan}\left(-\frac{\left(\frac{2\,c^2\,e\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{c\,e\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(4\,a\,c-b^2\right)}{c\,e}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((b^2*d + a*b*e - 4*a*c*d)/(2*(4*a*c - b^2)) + (c^2*e*x^3)/(4*a*c - b^2) - (e*x*(a*c - b^2))/(4*a*c - b^2) + (3*b*c*e*x^2)/(2*(4*a*c - b^2)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) - (2*c*e*atan(-(((2*c^2*e*x)/(4*a*c - b^2)^(3/2) - (c*e*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2))*(4*a*c - b^2))/(c*e)))/(4*a*c - b^2)^(3/2)","B"
1544,1,43,16,0.056931,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2)^3,x)","-\frac{1}{2\,\left(x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3\right)}","Not used",1,"-1/(2*(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3))","B"
1545,1,2461,397,5.462113,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^3),x)","\frac{\ln\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c+8\,a\,c^2\,x-2\,b^2\,c\,x\right)\,\left(b^7\,e^5+b^4\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-64\,a^3\,b\,c^3\,e^5+128\,a^3\,c^4\,d\,e^4-2\,c^4\,d^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^3\,c^2\,e^5+6\,a^2\,c^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b^5\,c\,e^5-2\,b^6\,c\,d\,e^4-6\,a\,b^2\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a\,b^4\,c^2\,d\,e^4-2\,b^3\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-96\,a^2\,b^2\,c^3\,d\,e^4-12\,a\,c^3\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+4\,b\,c^3\,d^3\,e^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a\,b\,c^2\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,\left(64\,a^6\,c^3\,e^6-48\,a^5\,b^2\,c^2\,e^6-192\,a^5\,b\,c^3\,d\,e^5+192\,a^5\,c^4\,d^2\,e^4+12\,a^4\,b^4\,c\,e^6+144\,a^4\,b^3\,c^2\,d\,e^5+48\,a^4\,b^2\,c^3\,d^2\,e^4-384\,a^4\,b\,c^4\,d^3\,e^3+192\,a^4\,c^5\,d^4\,e^2-a^3\,b^6\,e^6-36\,a^3\,b^5\,c\,d\,e^5-108\,a^3\,b^4\,c^2\,d^2\,e^4+224\,a^3\,b^3\,c^3\,d^3\,e^3+48\,a^3\,b^2\,c^4\,d^4\,e^2-192\,a^3\,b\,c^5\,d^5\,e+64\,a^3\,c^6\,d^6+3\,a^2\,b^7\,d\,e^5+33\,a^2\,b^6\,c\,d^2\,e^4-24\,a^2\,b^5\,c^2\,d^3\,e^3-108\,a^2\,b^4\,c^3\,d^4\,e^2+144\,a^2\,b^3\,c^4\,d^5\,e-48\,a^2\,b^2\,c^5\,d^6-3\,a\,b^8\,d^2\,e^4-6\,a\,b^7\,c\,d^3\,e^3+33\,a\,b^6\,c^2\,d^4\,e^2-36\,a\,b^5\,c^3\,d^5\,e+12\,a\,b^4\,c^4\,d^6+b^9\,d^3\,e^3-3\,b^8\,c\,d^4\,e^2+3\,b^7\,c^2\,d^5\,e-b^6\,c^3\,d^6\right)}-\frac{\frac{-11\,a^2\,b\,c\,e^3+12\,a^2\,c^2\,d\,e^2+3\,a\,b^3\,e^3-7\,a\,b\,c^2\,d^2\,e+4\,a\,c^3\,d^3-b^4\,d\,e^2+2\,b^3\,c\,d^2\,e-b^2\,c^2\,d^3}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}-\frac{x\,\left(5\,a^2\,c^2\,e^3+2\,a\,b^2\,c\,e^3-5\,a\,b\,c^2\,d\,e^2+a\,c^3\,d^2\,e-b^4\,e^3+2\,b^3\,c\,d\,e^2-b^2\,c^2\,d^2\,e\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}+\frac{x^2\,\left(4\,b^3\,c\,e^3-5\,b^2\,c^2\,d\,e^2+3\,b\,c^3\,d^2\,e-13\,a\,b\,c^2\,e^3+8\,a\,c^3\,d\,e^2\right)}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}+\frac{e\,x^3\,\left(b^2\,c^2\,e^2-b\,c^3\,d\,e+c^4\,d^2-3\,a\,c^3\,e^2\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(b\,e^5-2\,c\,d\,e^4\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}+\frac{\ln\left(b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c-8\,a\,c^2\,x+2\,b^2\,c\,x\right)\,\left(\frac{b^7\,e^5}{2}-\frac{b^4\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-32\,a^3\,b\,c^3\,e^5+64\,a^3\,c^4\,d\,e^4+c^4\,d^4\,e\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a^2\,b^3\,c^2\,e^5-3\,a^2\,c^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b^5\,c\,e^5-b^6\,c\,d\,e^4+3\,a\,b^2\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a\,b^4\,c^2\,d\,e^4+b^3\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-48\,a^2\,b^2\,c^3\,d\,e^4+6\,a\,c^3\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,b\,c^3\,d^3\,e^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b\,c^2\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{64\,a^6\,c^3\,e^6-48\,a^5\,b^2\,c^2\,e^6-192\,a^5\,b\,c^3\,d\,e^5+192\,a^5\,c^4\,d^2\,e^4+12\,a^4\,b^4\,c\,e^6+144\,a^4\,b^3\,c^2\,d\,e^5+48\,a^4\,b^2\,c^3\,d^2\,e^4-384\,a^4\,b\,c^4\,d^3\,e^3+192\,a^4\,c^5\,d^4\,e^2-a^3\,b^6\,e^6-36\,a^3\,b^5\,c\,d\,e^5-108\,a^3\,b^4\,c^2\,d^2\,e^4+224\,a^3\,b^3\,c^3\,d^3\,e^3+48\,a^3\,b^2\,c^4\,d^4\,e^2-192\,a^3\,b\,c^5\,d^5\,e+64\,a^3\,c^6\,d^6+3\,a^2\,b^7\,d\,e^5+33\,a^2\,b^6\,c\,d^2\,e^4-24\,a^2\,b^5\,c^2\,d^3\,e^3-108\,a^2\,b^4\,c^3\,d^4\,e^2+144\,a^2\,b^3\,c^4\,d^5\,e-48\,a^2\,b^2\,c^5\,d^6-3\,a\,b^8\,d^2\,e^4-6\,a\,b^7\,c\,d^3\,e^3+33\,a\,b^6\,c^2\,d^4\,e^2-36\,a\,b^5\,c^3\,d^5\,e+12\,a\,b^4\,c^4\,d^6+b^9\,d^3\,e^3-3\,b^8\,c\,d^4\,e^2+3\,b^7\,c^2\,d^5\,e-b^6\,c^3\,d^6}","Not used",1,"(log((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c + 8*a*c^2*x - 2*b^2*c*x)*(b^7*e^5 + b^4*e^5*(-(4*a*c - b^2)^3)^(1/2) - 64*a^3*b*c^3*e^5 + 128*a^3*c^4*d*e^4 - 2*c^4*d^4*e*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^3*c^2*e^5 + 6*a^2*c^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b^5*c*e^5 - 2*b^6*c*d*e^4 - 6*a*b^2*c*e^5*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^4*c^2*d*e^4 - 2*b^3*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 96*a^2*b^2*c^3*d*e^4 - 12*a*c^3*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) + 4*b*c^3*d^3*e^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a*b*c^2*d*e^4*(-(4*a*c - b^2)^3)^(1/2)))/(2*(64*a^3*c^6*d^6 - a^3*b^6*e^6 + 64*a^6*c^3*e^6 - b^6*c^3*d^6 + b^9*d^3*e^3 + 12*a*b^4*c^4*d^6 + 12*a^4*b^4*c*e^6 - 3*a*b^8*d^2*e^4 + 3*a^2*b^7*d*e^5 + 3*b^7*c^2*d^5*e - 3*b^8*c*d^4*e^2 - 48*a^2*b^2*c^5*d^6 - 48*a^5*b^2*c^2*e^6 + 192*a^4*c^5*d^4*e^2 + 192*a^5*c^4*d^2*e^4 - 108*a^2*b^4*c^3*d^4*e^2 - 24*a^2*b^5*c^2*d^3*e^3 + 48*a^3*b^2*c^4*d^4*e^2 + 224*a^3*b^3*c^3*d^3*e^3 - 108*a^3*b^4*c^2*d^2*e^4 + 48*a^4*b^2*c^3*d^2*e^4 - 36*a*b^5*c^3*d^5*e - 6*a*b^7*c*d^3*e^3 - 192*a^3*b*c^5*d^5*e - 36*a^3*b^5*c*d*e^5 - 192*a^5*b*c^3*d*e^5 + 33*a*b^6*c^2*d^4*e^2 + 144*a^2*b^3*c^4*d^5*e + 33*a^2*b^6*c*d^2*e^4 - 384*a^4*b*c^4*d^3*e^3 + 144*a^4*b^3*c^2*d*e^5)) - ((3*a*b^3*e^3 + 4*a*c^3*d^3 - b^4*d*e^2 - b^2*c^2*d^3 + 12*a^2*c^2*d*e^2 - 11*a^2*b*c*e^3 + 2*b^3*c*d^2*e - 7*a*b*c^2*d^2*e)/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) - (x*(5*a^2*c^2*e^3 - b^4*e^3 - b^2*c^2*d^2*e + 2*a*b^2*c*e^3 + a*c^3*d^2*e + 2*b^3*c*d*e^2 - 5*a*b*c^2*d*e^2))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2) + (x^2*(4*b^3*c*e^3 - 5*b^2*c^2*d*e^2 - 13*a*b*c^2*e^3 + 8*a*c^3*d*e^2 + 3*b*c^3*d^2*e))/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) + (e*x^3*(c^4*d^2 - 3*a*c^3*e^2 + b^2*c^2*e^2 - b*c^3*d*e))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + (log(d + e*x)*(b*e^5 - 2*c*d*e^4))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3) + (log(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c - 8*a*c^2*x + 2*b^2*c*x)*((b^7*e^5)/2 - (b^4*e^5*(-(4*a*c - b^2)^3)^(1/2))/2 - 32*a^3*b*c^3*e^5 + 64*a^3*c^4*d*e^4 + c^4*d^4*e*(-(4*a*c - b^2)^3)^(1/2) + 24*a^2*b^3*c^2*e^5 - 3*a^2*c^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b^5*c*e^5 - b^6*c*d*e^4 + 3*a*b^2*c*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a*b^4*c^2*d*e^4 + b^3*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 48*a^2*b^2*c^3*d*e^4 + 6*a*c^3*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 2*b*c^3*d^3*e^2*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b*c^2*d*e^4*(-(4*a*c - b^2)^3)^(1/2)))/(64*a^3*c^6*d^6 - a^3*b^6*e^6 + 64*a^6*c^3*e^6 - b^6*c^3*d^6 + b^9*d^3*e^3 + 12*a*b^4*c^4*d^6 + 12*a^4*b^4*c*e^6 - 3*a*b^8*d^2*e^4 + 3*a^2*b^7*d*e^5 + 3*b^7*c^2*d^5*e - 3*b^8*c*d^4*e^2 - 48*a^2*b^2*c^5*d^6 - 48*a^5*b^2*c^2*e^6 + 192*a^4*c^5*d^4*e^2 + 192*a^5*c^4*d^2*e^4 - 108*a^2*b^4*c^3*d^4*e^2 - 24*a^2*b^5*c^2*d^3*e^3 + 48*a^3*b^2*c^4*d^4*e^2 + 224*a^3*b^3*c^3*d^3*e^3 - 108*a^3*b^4*c^2*d^2*e^4 + 48*a^4*b^2*c^3*d^2*e^4 - 36*a*b^5*c^3*d^5*e - 6*a*b^7*c*d^3*e^3 - 192*a^3*b*c^5*d^5*e - 36*a^3*b^5*c*d*e^5 - 192*a^5*b*c^3*d*e^5 + 33*a*b^6*c^2*d^4*e^2 + 144*a^2*b^3*c^4*d^5*e + 33*a^2*b^6*c*d^2*e^4 - 384*a^4*b*c^4*d^3*e^3 + 144*a^4*b^3*c^2*d*e^5)","B"
1546,1,2712,431,13.548780,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^4*(a + b*x + c*x^2)^(1/2),x)","\frac{2\,e^4\,x^4\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{7}-6\,b\,d\,e^3\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)+\frac{d^4\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c}+\frac{33\,b^7\,e^4\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{1024\,c^{11/2}}+b\,d^4\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{4\,d\,e^3\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{3}-2\,a\,d^3\,e\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)+\frac{42\,b\,d^2\,e^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5}+\frac{16\,a^3\,e^4\,\sqrt{c\,x^2+b\,x+a}}{105\,c^2}-\frac{33\,b^6\,e^4\,\sqrt{c\,x^2+b\,x+a}}{512\,c^5}-5\,b\,d^3\,e\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)+\frac{12\,d^2\,e^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5}-\frac{3\,b^2\,e^4\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{d^4\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{3/2}}+2\,d^3\,e\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}-\frac{24\,a\,d^2\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5}+4\,a\,d\,e^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)-\frac{8\,a\,e^4\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{35\,c}-\frac{2\,b\,e^4\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{21\,c}-\frac{33\,b^3\,e^4\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{160\,c^3}+\frac{11\,b^5\,e^4\,x\,\sqrt{c\,x^2+b\,x+a}}{256\,c^4}-\frac{15\,b^2\,d^2\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{4\,c}+\frac{14\,b^2\,d\,e^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5\,c}+\frac{b\,d^4\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}-\frac{103\,a^2\,b^2\,e^4\,\sqrt{c\,x^2+b\,x+a}}{160\,c^3}+\frac{16\,a^2\,e^4\,x^2\,\sqrt{c\,x^2+b\,x+a}}{105\,c}+\frac{33\,b^2\,e^4\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{140\,c^2}+\frac{11\,b^4\,e^4\,x^2\,\sqrt{c\,x^2+b\,x+a}}{64\,c^3}-\frac{5\,a^3\,b\,e^4\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{16\,c^{5/2}}-\frac{63\,a\,b^5\,e^4\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{256\,c^{9/2}}+\frac{a\,b\,e^4\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}+\frac{35\,a^2\,b^3\,e^4\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{64\,c^{7/2}}+\frac{13\,a\,b^4\,e^4\,\sqrt{c\,x^2+b\,x+a}}{32\,c^4}+\frac{111\,a\,b\,e^4\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{280\,c^2}-\frac{269\,a^2\,b\,e^4\,x\,\sqrt{c\,x^2+b\,x+a}}{1680\,c^2}-\frac{3\,a\,b^3\,e^4\,x\,\sqrt{c\,x^2+b\,x+a}}{160\,c^3}+\frac{3\,b\,d^2\,e^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2\,c}+\frac{4\,b\,d\,e^3\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{b\,d^3\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{4\,c^{5/2}}-\frac{8\,a\,b\,d\,e^3\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{39\,a\,b^2\,e^4\,x^2\,\sqrt{c\,x^2+b\,x+a}}{80\,c^2}+\frac{b\,d^3\,e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{6\,c^2}-\frac{3\,a\,b\,d^2\,e^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{2\,c}","Not used",1,"(2*e^4*x^4*(a + b*x + c*x^2)^(3/2))/7 - 6*b*d*e^3*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)) + (d^4*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c) + (33*b^7*e^4*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(1024*c^(11/2)) + b*d^4*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (4*d*e^3*x^3*(a + b*x + c*x^2)^(3/2))/3 - 2*a*d^3*e*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))) + (42*b*d^2*e^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/5 + (16*a^3*e^4*(a + b*x + c*x^2)^(1/2))/(105*c^2) - (33*b^6*e^4*(a + b*x + c*x^2)^(1/2))/(512*c^5) - 5*b*d^3*e*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)) + (12*d^2*e^2*x^2*(a + b*x + c*x^2)^(3/2))/5 - (3*b^2*e^4*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (d^4*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(3/2)) + 2*d^3*e*x*(a + b*x + c*x^2)^(3/2) - (24*a*d^2*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/5 + 4*a*d*e^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)) - (8*a*e^4*x^2*(a + b*x + c*x^2)^(3/2))/(35*c) - (2*b*e^4*x^3*(a + b*x + c*x^2)^(3/2))/(21*c) - (33*b^3*e^4*x*(a + b*x + c*x^2)^(3/2))/(160*c^3) + (11*b^5*e^4*x*(a + b*x + c*x^2)^(1/2))/(256*c^4) - (15*b^2*d^2*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(4*c) + (14*b^2*d*e^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(5*c) + (b*d^4*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) - (103*a^2*b^2*e^4*(a + b*x + c*x^2)^(1/2))/(160*c^3) + (16*a^2*e^4*x^2*(a + b*x + c*x^2)^(1/2))/(105*c) + (33*b^2*e^4*x^2*(a + b*x + c*x^2)^(3/2))/(140*c^2) + (11*b^4*e^4*x^2*(a + b*x + c*x^2)^(1/2))/(64*c^3) - (5*a^3*b*e^4*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(16*c^(5/2)) - (63*a*b^5*e^4*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(256*c^(9/2)) + (a*b*e^4*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) + (35*a^2*b^3*e^4*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(64*c^(7/2)) + (13*a*b^4*e^4*(a + b*x + c*x^2)^(1/2))/(32*c^4) + (111*a*b*e^4*x*(a + b*x + c*x^2)^(3/2))/(280*c^2) - (269*a^2*b*e^4*x*(a + b*x + c*x^2)^(1/2))/(1680*c^2) - (3*a*b^3*e^4*x*(a + b*x + c*x^2)^(1/2))/(160*c^3) + (3*b*d^2*e^2*x*(a + b*x + c*x^2)^(3/2))/(2*c) + (4*b*d*e^3*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (b*d^3*e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(4*c^(5/2)) - (8*a*b*d*e^3*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (39*a*b^2*e^4*x^2*(a + b*x + c*x^2)^(1/2))/(80*c^2) + (b*d^3*e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(6*c^2) - (3*a*b*d^2*e^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(2*c)","B"
1547,1,1679,312,5.083924,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^(1/2),x)","a\,e^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)-\frac{3\,b\,e^3\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{2}+\frac{e^3\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{3}+\frac{d^3\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c}+b\,d^3\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{6\,d\,e^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5}-\frac{3\,a\,d^2\,e\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{2}-\frac{12\,a\,d\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5}-\frac{15\,b\,d^2\,e\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{4}+\frac{7\,b^2\,e^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}+\frac{d^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{3/2}}+\frac{3\,d^2\,e\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2}+\frac{21\,b\,d\,e^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5}+\frac{b\,e^3\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{b\,d^3\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}-\frac{2\,a\,b\,e^3\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{15\,b^2\,d\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{3\,b\,d\,e^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}-\frac{3\,a\,b\,d\,e^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{3\,b\,d^2\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{b\,d^2\,e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{8\,c^2}","Not used",1,"a*e^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)) - (3*b*e^3*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/2 + (e^3*x^3*(a + b*x + c*x^2)^(3/2))/3 + (d^3*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c) + b*d^3*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (6*d*e^2*x^2*(a + b*x + c*x^2)^(3/2))/5 - (3*a*d^2*e*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/2 - (12*a*d*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/5 - (15*b*d^2*e*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/4 + (7*b^2*e^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) + (d^3*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(3/2)) + (3*d^2*e*x*(a + b*x + c*x^2)^(3/2))/2 + (21*b*d*e^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/5 + (b*e^3*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (b*d^3*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) - (2*a*b*e^3*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (15*b^2*d*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (3*b*d*e^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) - (3*a*b*d*e^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (3*b*d^2*e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + (b*d^2*e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(8*c^2)","B"
1548,1,876,195,3.625910,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^(1/2),x)","\frac{7\,b\,e^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5}-\frac{4\,a\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5}+\frac{2\,e^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5}+\frac{d^2\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c}+b\,d^2\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-\frac{5\,b\,d\,e\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{2}-\frac{5\,b^2\,e^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+d\,e\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}+\frac{d^2\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{3/2}}-a\,d\,e\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)-\frac{a\,b\,e^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{b\,d^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{b\,e^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{b\,d\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{5/2}}+\frac{b\,d\,e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c^2}","Not used",1,"(7*b*e^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/5 - (4*a*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/5 + (2*e^2*x^2*(a + b*x + c*x^2)^(3/2))/5 + (d^2*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c) + b*d^2*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - (5*b*d*e*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/2 - (5*b^2*e^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + d*e*x*(a + b*x + c*x^2)^(3/2) + (d^2*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(3/2)) - a*d*e*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))) - (a*b*e^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (b*d^2*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (b*e^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (b*d*e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(5/2)) + (b*d*e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c^2)","B"
1549,1,395,122,2.791741,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{e\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2}-\frac{a\,e\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{2}-\frac{5\,b\,e\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{4}+\frac{d\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{3/2}}+\frac{d\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c}+b\,d\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{b\,e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{b\,d\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{b\,e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}","Not used",1,"(e*x*(a + b*x + c*x^2)^(3/2))/2 - (a*e*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/2 - (5*b*e*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/4 + (d*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(3/2)) + (d*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c) + b*d*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (b*e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (b*d*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (b*e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))","B"
1550,1,14,18,1.829779,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{3}","Not used",1,"(2*(a + b*x + c*x^2)^(3/2))/3","B"
1551,0,-1,199,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{d+e\,x} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x), x)","F"
1552,0,-1,203,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^2,x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^2, x)","F"
1553,0,-1,280,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^3,x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^3, x)","F"
1554,0,-1,217,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^4,x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^4, x)","F"
1555,0,-1,307,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^5,x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^5, x)","F"
1556,0,-1,430,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^6,x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^6, x)","F"
1557,0,-1,379,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^(3/2),x)","\int \left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^(3/2), x)","F"
1558,0,-1,242,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^(3/2),x)","\int \left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^(3/2), x)","F"
1559,0,-1,160,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^(3/2),x)","\int \left(b+2\,c\,x\right)\,\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^(3/2), x)","F"
1560,1,14,18,1.920517,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2)^(3/2),x)","\frac{2\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{5}","Not used",1,"(2*(a + b*x + c*x^2)^(5/2))/5","B"
1561,0,-1,360,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{d+e\,x} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x), x)","F"
1562,0,-1,303,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^2,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^2, x)","F"
1563,0,-1,309,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^3,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^3, x)","F"
1564,0,-1,462,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^4,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^4, x)","F"
1565,0,-1,446,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^(5/2),x)","\int \left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)^3*(a + b*x + c*x^2)^(5/2), x)","F"
1566,0,-1,289,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^(5/2),x)","\int \left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)^2*(a + b*x + c*x^2)^(5/2), x)","F"
1567,0,-1,198,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^(5/2),x)","\int \left(b+2\,c\,x\right)\,\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)*(a + b*x + c*x^2)^(5/2), x)","F"
1568,1,14,18,2.034114,"\text{Not used}","int((b + 2*c*x)*(a + b*x + c*x^2)^(5/2),x)","\frac{2\,{\left(c\,x^2+b\,x+a\right)}^{7/2}}{7}","Not used",1,"(2*(a + b*x + c*x^2)^(7/2))/7","B"
1569,0,-1,627,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{d+e\,x} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x), x)","F"
1570,0,-1,508,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^2,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^2, x)","F"
1571,0,-1,464,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^3,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^3, x)","F"
1572,0,-1,473,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^4,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(5/2))/(d + e*x)^4, x)","F"
1573,0,-1,245,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(1/2), x)","F"
1574,0,-1,148,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(1/2), x)","F"
1575,0,-1,84,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\left(d+e\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^(1/2), x)","F"
1576,1,14,16,1.886311,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2)^(1/2),x)","2\,\sqrt{c\,x^2+b\,x+a}","Not used",1,"2*(a + b*x + c*x^2)^(1/2)","B"
1577,0,-1,133,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{\left(d+e\,x\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(1/2)), x)","F"
1578,0,-1,141,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^2\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(1/2)), x)","F"
1579,0,-1,225,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^3*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^3\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^3*(a + b*x + c*x^2)^(1/2)), x)","F"
1580,0,-1,328,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^4*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^4\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^4*(a + b*x + c*x^2)^(1/2)), x)","F"
1581,0,-1,202,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(3/2), x)","F"
1582,0,-1,153,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(3/2), x)","F"
1583,0,-1,93,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(3/2), x)","F"
1584,1,161,60,2.619651,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^(3/2),x)","\frac{2\,b^2\,d-4\,a\,b\,e-2\,b^2\,e\,x+4\,b\,c\,d\,x}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{2\,e\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{\sqrt{c}}+\frac{2\,e\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}-\frac{2\,c\,d\,\left(4\,a+2\,b\,x\right)}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(2*b^2*d - 4*a*b*e - 2*b^2*e*x + 4*b*c*d*x)/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) + (2*e*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(1/2) + (2*e*((a*b)/2 - x*(a*c - b^2/2)))/((a*c - b^2/4)*(a + b*x + c*x^2)^(1/2)) - (2*c*d*(4*a + 2*b*x))/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2))","B"
1585,1,14,16,1.889903,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2)^(3/2),x)","-\frac{2}{\sqrt{c\,x^2+b\,x+a}}","Not used",1,"-2/(a + b*x + c*x^2)^(1/2)","B"
1586,0,-1,166,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{b+2\,c\,x}{\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(3/2)), x)","F"
1587,0,-1,248,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(3/2)), x)","F"
1588,0,-1,208,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(5/2), x)","F"
1589,0,-1,158,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(5/2), x)","F"
1590,1,122,74,2.265147,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(8\,a^2\,e^2-4\,a\,b\,d\,e+12\,a\,b\,e^2\,x+4\,a\,c\,d^2+12\,a\,c\,e^2\,x^2-b^2\,d^2-6\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2-12\,b\,c\,d\,e\,x^2+4\,b\,c\,e^2\,x^3-8\,c^2\,d\,e\,x^3\right)}{3\,\left(4\,a\,c-b^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(2*(8*a^2*e^2 - b^2*d^2 + 3*b^2*e^2*x^2 + 4*a*c*d^2 + 12*a*b*e^2*x - 6*b^2*d*e*x + 12*a*c*e^2*x^2 + 4*b*c*e^2*x^3 - 8*c^2*d*e*x^3 - 4*a*b*d*e - 12*b*c*d*e*x^2))/(3*(4*a*c - b^2)*(a + b*x + c*x^2)^(3/2))","B"
1591,1,66,59,2.064017,"\text{Not used}","int(((b + 2*c*x)*(d + e*x))/(a + b*x + c*x^2)^(5/2),x)","\frac{2\,\left(3\,e\,b^2\,x+d\,b^2+6\,e\,b\,c\,x^2+2\,a\,e\,b+4\,e\,c^2\,x^3-4\,a\,d\,c\right)}{3\,\left(4\,a\,c-b^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(2*(b^2*d + 4*c^2*e*x^3 + 2*a*b*e - 4*a*c*d + 3*b^2*e*x + 6*b*c*e*x^2))/(3*(4*a*c - b^2)*(a + b*x + c*x^2)^(3/2))","B"
1592,1,14,18,1.993617,"\text{Not used}","int((b + 2*c*x)/(a + b*x + c*x^2)^(5/2),x)","-\frac{2}{3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-2/(3*(a + b*x + c*x^2)^(3/2))","B"
1593,0,-1,291,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{b+2\,c\,x}{\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)*(a + b*x + c*x^2)^(5/2)), x)","F"
1594,0,-1,423,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^2*(a + b*x + c*x^2)^(5/2)), x)","F"
1595,1,118,132,0.094762,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(5/2)*(a + b*x + c*x^2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^4}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,b^2\,e^2-12\,b\,c\,d\,e+12\,c^2\,d^2+4\,a\,c\,e^2\right)}{9\,e^4}-\frac{\left(12\,c^2\,d-6\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{7\,e^4}","Not used",1,"(4*c^2*(d + e*x)^(13/2))/(13*e^4) + ((d + e*x)^(9/2)*(2*b^2*e^2 + 12*c^2*d^2 + 4*a*c*e^2 - 12*b*c*d*e))/(9*e^4) - ((12*c^2*d - 6*b*c*e)*(d + e*x)^(11/2))/(11*e^4) + (2*(b*e - 2*c*d)*(d + e*x)^(7/2)*(a*e^2 + c*d^2 - b*d*e))/(7*e^4)","B"
1596,1,118,132,1.880578,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(3/2)*(a + b*x + c*x^2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,b^2\,e^2-12\,b\,c\,d\,e+12\,c^2\,d^2+4\,a\,c\,e^2\right)}{7\,e^4}-\frac{\left(12\,c^2\,d-6\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{5\,e^4}","Not used",1,"(4*c^2*(d + e*x)^(11/2))/(11*e^4) + ((d + e*x)^(7/2)*(2*b^2*e^2 + 12*c^2*d^2 + 4*a*c*e^2 - 12*b*c*d*e))/(7*e^4) - ((12*c^2*d - 6*b*c*e)*(d + e*x)^(9/2))/(9*e^4) + (2*(b*e - 2*c*d)*(d + e*x)^(5/2)*(a*e^2 + c*d^2 - b*d*e))/(5*e^4)","B"
1597,1,118,132,0.065639,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(1/2)*(a + b*x + c*x^2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,b^2\,e^2-12\,b\,c\,d\,e+12\,c^2\,d^2+4\,a\,c\,e^2\right)}{5\,e^4}-\frac{\left(12\,c^2\,d-6\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{3\,e^4}","Not used",1,"(4*c^2*(d + e*x)^(9/2))/(9*e^4) + ((d + e*x)^(5/2)*(2*b^2*e^2 + 12*c^2*d^2 + 4*a*c*e^2 - 12*b*c*d*e))/(5*e^4) - ((12*c^2*d - 6*b*c*e)*(d + e*x)^(7/2))/(7*e^4) + (2*(b*e - 2*c*d)*(d + e*x)^(3/2)*(a*e^2 + c*d^2 - b*d*e))/(3*e^4)","B"
1598,1,118,130,0.067192,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^(1/2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,b^2\,e^2-12\,b\,c\,d\,e+12\,c^2\,d^2+4\,a\,c\,e^2\right)}{3\,e^4}-\frac{\left(12\,c^2\,d-6\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}{e^4}","Not used",1,"(4*c^2*(d + e*x)^(7/2))/(7*e^4) + ((d + e*x)^(3/2)*(2*b^2*e^2 + 12*c^2*d^2 + 4*a*c*e^2 - 12*b*c*d*e))/(3*e^4) - ((12*c^2*d - 6*b*c*e)*(d + e*x)^(5/2))/(5*e^4) + (2*(b*e - 2*c*d)*(d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e))/e^4","B"
1599,1,133,126,0.070859,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^(3/2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{\sqrt{d+e\,x}\,\left(2\,b^2\,e^2-12\,b\,c\,d\,e+12\,c^2\,d^2+4\,a\,c\,e^2\right)}{e^4}+\frac{2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2}{e^4\,\sqrt{d+e\,x}}-\frac{\left(12\,c^2\,d-6\,b\,c\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}","Not used",1,"(4*c^2*(d + e*x)^(5/2))/(5*e^4) + ((d + e*x)^(1/2)*(2*b^2*e^2 + 12*c^2*d^2 + 4*a*c*e^2 - 12*b*c*d*e))/e^4 + (4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e)/(e^4*(d + e*x)^(1/2)) - ((12*c^2*d - 6*b*c*e)*(d + e*x)^(3/2))/(3*e^4)","B"
1600,1,139,128,0.086262,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2))/(d + e*x)^(5/2),x)","\frac{4\,c^2\,{\left(d+e\,x\right)}^3+4\,c^2\,d^3+2\,b^2\,d\,e^2-6\,b^2\,e^2\,\left(d+e\,x\right)-36\,c^2\,d\,{\left(d+e\,x\right)}^2-36\,c^2\,d^2\,\left(d+e\,x\right)-2\,a\,b\,e^3+4\,a\,c\,d\,e^2-6\,b\,c\,d^2\,e-12\,a\,c\,e^2\,\left(d+e\,x\right)+18\,b\,c\,e\,{\left(d+e\,x\right)}^2+36\,b\,c\,d\,e\,\left(d+e\,x\right)}{3\,e^4\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(4*c^2*(d + e*x)^3 + 4*c^2*d^3 + 2*b^2*d*e^2 - 6*b^2*e^2*(d + e*x) - 36*c^2*d*(d + e*x)^2 - 36*c^2*d^2*(d + e*x) - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e - 12*a*c*e^2*(d + e*x) + 18*b*c*e*(d + e*x)^2 + 36*b*c*d*e*(d + e*x))/(3*e^4*(d + e*x)^(3/2))","B"
1601,1,267,252,0.097229,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(5/2)*(a + b*x + c*x^2)^2,x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)}{9\,e^6}+\frac{4\,c^3\,{\left(d+e\,x\right)}^{17/2}}{17\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}+\frac{{\left(d+e\,x\right)}^{13/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{13\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{11\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}{7\,e^6}","Not used",1,"((d + e*x)^(9/2)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3))/(9*e^6) + (4*c^3*(d + e*x)^(17/2))/(17*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(15/2))/(15*e^6) + ((d + e*x)^(13/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(13*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(11/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/(11*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(7/2)*(a*e^2 + c*d^2 - b*d*e)^2)/(7*e^6)","B"
1602,1,267,252,0.065424,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(3/2)*(a + b*x + c*x^2)^2,x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)}{7\,e^6}+\frac{4\,c^3\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{11\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{9\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}{5\,e^6}","Not used",1,"((d + e*x)^(7/2)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3))/(7*e^6) + (4*c^3*(d + e*x)^(15/2))/(15*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(13/2))/(13*e^6) + ((d + e*x)^(11/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(11*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(9/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/(9*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(5/2)*(a*e^2 + c*d^2 - b*d*e)^2)/(5*e^6)","B"
1603,1,267,252,1.922821,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(1/2)*(a + b*x + c*x^2)^2,x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)}{5\,e^6}+\frac{4\,c^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{9\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{7\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}{3\,e^6}","Not used",1,"((d + e*x)^(5/2)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3))/(5*e^6) + (4*c^3*(d + e*x)^(13/2))/(13*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(11/2))/(11*e^6) + ((d + e*x)^(9/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(9*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(7/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/(7*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(3/2)*(a*e^2 + c*d^2 - b*d*e)^2)/(3*e^6)","B"
1604,1,267,250,1.852842,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)}{3\,e^6}+\frac{4\,c^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{7\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{5\,e^6}+\frac{2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}{e^6}","Not used",1,"((d + e*x)^(3/2)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3))/(3*e^6) + (4*c^3*(d + e*x)^(11/2))/(11*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(9/2))/(9*e^6) + ((d + e*x)^(7/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(7*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(5/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/(5*e^6) + (2*(b*e - 2*c*d)*(d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e)^2)/e^6","B"
1605,1,333,248,0.071702,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^(3/2),x)","\frac{\sqrt{d+e\,x}\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)}{e^6}+\frac{4\,c^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{5\,e^6}+\frac{-2\,a^2\,b\,e^5+4\,a^2\,c\,d\,e^4+4\,a\,b^2\,d\,e^4-12\,a\,b\,c\,d^2\,e^3+8\,a\,c^2\,d^3\,e^2-2\,b^3\,d^2\,e^3+8\,b^2\,c\,d^3\,e^2-10\,b\,c^2\,d^4\,e+4\,c^3\,d^5}{e^6\,\sqrt{d+e\,x}}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{3\,e^6}","Not used",1,"((d + e*x)^(1/2)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3))/e^6 + (4*c^3*(d + e*x)^(9/2))/(9*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(7/2))/(7*e^6) + ((d + e*x)^(5/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(5*e^6) + (4*c^3*d^5 - 2*a^2*b*e^5 - 2*b^3*d^2*e^3 + 8*a*c^2*d^3*e^2 + 8*b^2*c*d^3*e^2 + 4*a*b^2*d*e^4 + 4*a^2*c*d*e^4 - 10*b*c^2*d^4*e - 12*a*b*c*d^2*e^3)/(e^6*(d + e*x)^(1/2)) + (2*(b*e - 2*c*d)*(d + e*x)^(3/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/(3*e^6)","B"
1606,1,329,246,1.886673,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^2)/(d + e*x)^(5/2),x)","\frac{4\,c^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}-\frac{\left(20\,c^3\,d-10\,b\,c^2\,e\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(8\,b^2\,c\,e^2-40\,b\,c^2\,d\,e+40\,c^3\,d^2+8\,a\,c^2\,e^2\right)}{3\,e^6}+\frac{\frac{4\,c^3\,d^5}{3}-\left(d+e\,x\right)\,\left(4\,a^2\,c\,e^4+4\,a\,b^2\,e^4-24\,a\,b\,c\,d\,e^3+24\,a\,c^2\,d^2\,e^2-4\,b^3\,d\,e^3+24\,b^2\,c\,d^2\,e^2-40\,b\,c^2\,d^3\,e+20\,c^3\,d^4\right)-\frac{2\,a^2\,b\,e^5}{3}-\frac{2\,b^3\,d^2\,e^3}{3}+\frac{8\,a\,c^2\,d^3\,e^2}{3}+\frac{8\,b^2\,c\,d^3\,e^2}{3}+\frac{4\,a\,b^2\,d\,e^4}{3}+\frac{4\,a^2\,c\,d\,e^4}{3}-\frac{10\,b\,c^2\,d^4\,e}{3}-4\,a\,b\,c\,d^2\,e^3}{e^6\,{\left(d+e\,x\right)}^{3/2}}+\frac{2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\left(b^2\,e^2-10\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)}{e^6}","Not used",1,"(4*c^3*(d + e*x)^(7/2))/(7*e^6) - ((20*c^3*d - 10*b*c^2*e)*(d + e*x)^(5/2))/(5*e^6) + ((d + e*x)^(3/2)*(40*c^3*d^2 + 8*a*c^2*e^2 + 8*b^2*c*e^2 - 40*b*c^2*d*e))/(3*e^6) + ((4*c^3*d^5)/3 - (d + e*x)*(20*c^3*d^4 + 4*a*b^2*e^4 + 4*a^2*c*e^4 - 4*b^3*d*e^3 + 24*a*c^2*d^2*e^2 + 24*b^2*c*d^2*e^2 - 40*b*c^2*d^3*e - 24*a*b*c*d*e^3) - (2*a^2*b*e^5)/3 - (2*b^3*d^2*e^3)/3 + (8*a*c^2*d^3*e^2)/3 + (8*b^2*c*d^3*e^2)/3 + (4*a*b^2*d*e^4)/3 + (4*a^2*c*d*e^4)/3 - (10*b*c^2*d^4*e)/3 - 4*a*b*c*d^2*e^3)/(e^6*(d + e*x)^(3/2)) + (2*(b*e - 2*c*d)*(d + e*x)^(1/2)*(b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 - 10*b*c*d*e))/e^6","B"
1607,1,444,427,1.959132,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(5/2)*(a + b*x + c*x^2)^3,x)","\frac{{\left(d+e\,x\right)}^{17/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{17\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{21/2}}{21\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}+\frac{{\left(d+e\,x\right)}^{13/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{13\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^3}{7\,e^8}+\frac{6\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{11\,e^8}+\frac{2\,{\left(d+e\,x\right)}^{9/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2\,\left(3\,b^2\,e^2-14\,b\,c\,d\,e+14\,c^2\,d^2+2\,a\,c\,e^2\right)}{9\,e^8}+\frac{2\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{15/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{3\,e^8}","Not used",1,"((d + e*x)^(17/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(17*e^8) + (4*c^4*(d + e*x)^(21/2))/(21*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(19/2))/(19*e^8) + ((d + e*x)^(13/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(13*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(7/2)*(a*e^2 + c*d^2 - b*d*e)^3)/(7*e^8) + (6*(b*e - 2*c*d)*(d + e*x)^(11/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/(11*e^8) + (2*(d + e*x)^(9/2)*(a*e^2 + c*d^2 - b*d*e)^2*(3*b^2*e^2 + 14*c^2*d^2 + 2*a*c*e^2 - 14*b*c*d*e))/(9*e^8) + (2*c*(b*e - 2*c*d)*(d + e*x)^(15/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/(3*e^8)","B"
1608,1,444,427,0.124161,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(3/2)*(a + b*x + c*x^2)^3,x)","\frac{{\left(d+e\,x\right)}^{15/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{15\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}+\frac{{\left(d+e\,x\right)}^{11/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{11\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^3}{5\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{3\,e^8}+\frac{2\,{\left(d+e\,x\right)}^{7/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2\,\left(3\,b^2\,e^2-14\,b\,c\,d\,e+14\,c^2\,d^2+2\,a\,c\,e^2\right)}{7\,e^8}+\frac{10\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{13/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{13\,e^8}","Not used",1,"((d + e*x)^(15/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(15*e^8) + (4*c^4*(d + e*x)^(19/2))/(19*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(17/2))/(17*e^8) + ((d + e*x)^(11/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(11*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(5/2)*(a*e^2 + c*d^2 - b*d*e)^3)/(5*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(9/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/(3*e^8) + (2*(d + e*x)^(7/2)*(a*e^2 + c*d^2 - b*d*e)^2*(3*b^2*e^2 + 14*c^2*d^2 + 2*a*c*e^2 - 14*b*c*d*e))/(7*e^8) + (10*c*(b*e - 2*c*d)*(d + e*x)^(13/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/(13*e^8)","B"
1609,1,444,427,0.128000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(1/2)*(a + b*x + c*x^2)^3,x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{13\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}+\frac{{\left(d+e\,x\right)}^{9/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{9\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^3}{3\,e^8}+\frac{6\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{7\,e^8}+\frac{2\,{\left(d+e\,x\right)}^{5/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2\,\left(3\,b^2\,e^2-14\,b\,c\,d\,e+14\,c^2\,d^2+2\,a\,c\,e^2\right)}{5\,e^8}+\frac{10\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{11\,e^8}","Not used",1,"((d + e*x)^(13/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(13*e^8) + (4*c^4*(d + e*x)^(17/2))/(17*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(15/2))/(15*e^8) + ((d + e*x)^(9/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(9*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(3/2)*(a*e^2 + c*d^2 - b*d*e)^3)/(3*e^8) + (6*(b*e - 2*c*d)*(d + e*x)^(7/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/(7*e^8) + (2*(d + e*x)^(5/2)*(a*e^2 + c*d^2 - b*d*e)^2*(3*b^2*e^2 + 14*c^2*d^2 + 2*a*c*e^2 - 14*b*c*d*e))/(5*e^8) + (10*c*(b*e - 2*c*d)*(d + e*x)^(11/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/(11*e^8)","B"
1610,1,444,425,1.930853,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{11\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{{\left(d+e\,x\right)}^{7/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{7\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^3}{e^8}+\frac{6\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{5\,e^8}+\frac{2\,{\left(d+e\,x\right)}^{3/2}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2\,\left(3\,b^2\,e^2-14\,b\,c\,d\,e+14\,c^2\,d^2+2\,a\,c\,e^2\right)}{3\,e^8}+\frac{10\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{9\,e^8}","Not used",1,"((d + e*x)^(11/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(11*e^8) + (4*c^4*(d + e*x)^(15/2))/(15*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(13/2))/(13*e^8) + ((d + e*x)^(7/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(7*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e)^3)/e^8 + (6*(b*e - 2*c*d)*(d + e*x)^(5/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/(5*e^8) + (2*(d + e*x)^(3/2)*(a*e^2 + c*d^2 - b*d*e)^2*(3*b^2*e^2 + 14*c^2*d^2 + 2*a*c*e^2 - 14*b*c*d*e))/(3*e^8) + (10*c*(b*e - 2*c*d)*(d + e*x)^(9/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/(9*e^8)","B"
1611,1,581,421,1.938144,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{9\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{-2\,a^3\,b\,e^7+4\,a^3\,c\,d\,e^6+6\,a^2\,b^2\,d\,e^6-18\,a^2\,b\,c\,d^2\,e^5+12\,a^2\,c^2\,d^3\,e^4-6\,a\,b^3\,d^2\,e^5+24\,a\,b^2\,c\,d^3\,e^4-30\,a\,b\,c^2\,d^4\,e^3+12\,a\,c^3\,d^5\,e^2+2\,b^4\,d^3\,e^4-10\,b^3\,c\,d^4\,e^3+18\,b^2\,c^2\,d^5\,e^2-14\,b\,c^3\,d^6\,e+4\,c^4\,d^7}{e^8\,\sqrt{d+e\,x}}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{5\,e^8}+\frac{2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{e^8}+\frac{2\,\sqrt{d+e\,x}\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2\,\left(3\,b^2\,e^2-14\,b\,c\,d\,e+14\,c^2\,d^2+2\,a\,c\,e^2\right)}{e^8}+\frac{10\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{7\,e^8}","Not used",1,"((d + e*x)^(9/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(9*e^8) + (4*c^4*(d + e*x)^(13/2))/(13*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(11/2))/(11*e^8) + (4*c^4*d^7 - 2*a^3*b*e^7 + 2*b^4*d^3*e^4 - 6*a*b^3*d^2*e^5 + 6*a^2*b^2*d*e^6 + 12*a*c^3*d^5*e^2 - 10*b^3*c*d^4*e^3 + 12*a^2*c^2*d^3*e^4 + 18*b^2*c^2*d^5*e^2 + 4*a^3*c*d*e^6 - 14*b*c^3*d^6*e - 30*a*b*c^2*d^4*e^3 + 24*a*b^2*c*d^3*e^4 - 18*a^2*b*c*d^2*e^5)/(e^8*(d + e*x)^(1/2)) + ((d + e*x)^(5/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(5*e^8) + (2*(b*e - 2*c*d)*(d + e*x)^(3/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/e^8 + (2*(d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e)^2*(3*b^2*e^2 + 14*c^2*d^2 + 2*a*c*e^2 - 14*b*c*d*e))/e^8 + (10*c*(b*e - 2*c*d)*(d + e*x)^(7/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/(7*e^8)","B"
1612,1,677,421,1.956605,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^3)/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(18\,b^2\,c^2\,e^2-84\,b\,c^3\,d\,e+84\,c^4\,d^2+12\,a\,c^3\,e^2\right)}{7\,e^8}+\frac{4\,c^4\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}-\frac{\left(28\,c^4\,d-14\,b\,c^3\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{\frac{4\,c^4\,d^7}{3}-\left(d+e\,x\right)\,\left(4\,a^3\,c\,e^6+6\,a^2\,b^2\,e^6-36\,a^2\,b\,c\,d\,e^5+36\,a^2\,c^2\,d^2\,e^4-12\,a\,b^3\,d\,e^5+72\,a\,b^2\,c\,d^2\,e^4-120\,a\,b\,c^2\,d^3\,e^3+60\,a\,c^3\,d^4\,e^2+6\,b^4\,d^2\,e^4-40\,b^3\,c\,d^3\,e^3+90\,b^2\,c^2\,d^4\,e^2-84\,b\,c^3\,d^5\,e+28\,c^4\,d^6\right)-\frac{2\,a^3\,b\,e^7}{3}+\frac{2\,b^4\,d^3\,e^4}{3}-2\,a\,b^3\,d^2\,e^5+2\,a^2\,b^2\,d\,e^6+4\,a\,c^3\,d^5\,e^2-\frac{10\,b^3\,c\,d^4\,e^3}{3}+4\,a^2\,c^2\,d^3\,e^4+6\,b^2\,c^2\,d^5\,e^2+\frac{4\,a^3\,c\,d\,e^6}{3}-\frac{14\,b\,c^3\,d^6\,e}{3}-10\,a\,b\,c^2\,d^4\,e^3+8\,a\,b^2\,c\,d^3\,e^4-6\,a^2\,b\,c\,d^2\,e^5}{e^8\,{\left(d+e\,x\right)}^{3/2}}+\frac{{\left(d+e\,x\right)}^{3/2}\,\left(12\,a^2\,c^2\,e^4+24\,a\,b^2\,c\,e^4-120\,a\,b\,c^2\,d\,e^3+120\,a\,c^3\,d^2\,e^2+2\,b^4\,e^4-40\,b^3\,c\,d\,e^3+180\,b^2\,c^2\,d^2\,e^2-280\,b\,c^3\,d^3\,e+140\,c^4\,d^4\right)}{3\,e^8}+\frac{6\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}\,\left(3\,a^2\,c\,e^4+a\,b^2\,e^4-10\,a\,b\,c\,d\,e^3+10\,a\,c^2\,d^2\,e^2-b^3\,d\,e^3+8\,b^2\,c\,d^2\,e^2-14\,b\,c^2\,d^3\,e+7\,c^3\,d^4\right)}{e^8}+\frac{2\,c\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(b^2\,e^2-7\,b\,c\,d\,e+7\,c^2\,d^2+3\,a\,c\,e^2\right)}{e^8}","Not used",1,"((d + e*x)^(7/2)*(84*c^4*d^2 + 12*a*c^3*e^2 + 18*b^2*c^2*e^2 - 84*b*c^3*d*e))/(7*e^8) + (4*c^4*(d + e*x)^(11/2))/(11*e^8) - ((28*c^4*d - 14*b*c^3*e)*(d + e*x)^(9/2))/(9*e^8) + ((4*c^4*d^7)/3 - (d + e*x)*(28*c^4*d^6 + 4*a^3*c*e^6 + 6*a^2*b^2*e^6 + 6*b^4*d^2*e^4 + 60*a*c^3*d^4*e^2 - 40*b^3*c*d^3*e^3 + 36*a^2*c^2*d^2*e^4 + 90*b^2*c^2*d^4*e^2 - 12*a*b^3*d*e^5 - 84*b*c^3*d^5*e - 36*a^2*b*c*d*e^5 - 120*a*b*c^2*d^3*e^3 + 72*a*b^2*c*d^2*e^4) - (2*a^3*b*e^7)/3 + (2*b^4*d^3*e^4)/3 - 2*a*b^3*d^2*e^5 + 2*a^2*b^2*d*e^6 + 4*a*c^3*d^5*e^2 - (10*b^3*c*d^4*e^3)/3 + 4*a^2*c^2*d^3*e^4 + 6*b^2*c^2*d^5*e^2 + (4*a^3*c*d*e^6)/3 - (14*b*c^3*d^6*e)/3 - 10*a*b*c^2*d^4*e^3 + 8*a*b^2*c*d^3*e^4 - 6*a^2*b*c*d^2*e^5)/(e^8*(d + e*x)^(3/2)) + ((d + e*x)^(3/2)*(2*b^4*e^4 + 140*c^4*d^4 + 12*a^2*c^2*e^4 + 120*a*c^3*d^2*e^2 + 180*b^2*c^2*d^2*e^2 + 24*a*b^2*c*e^4 - 280*b*c^3*d^3*e - 40*b^3*c*d*e^3 - 120*a*b*c^2*d*e^3))/(3*e^8) + (6*(b*e - 2*c*d)*(d + e*x)^(1/2)*(7*c^3*d^4 + a*b^2*e^4 + 3*a^2*c*e^4 - b^3*d*e^3 + 10*a*c^2*d^2*e^2 + 8*b^2*c*d^2*e^2 - 14*b*c^2*d^3*e - 10*a*b*c*d*e^3))/e^8 + (2*c*(b*e - 2*c*d)*(d + e*x)^(5/2)*(b^2*e^2 + 7*c^2*d^2 + 3*a*c*e^2 - 7*b*c*d*e))/e^8","B"
1613,1,6933,422,0.962629,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2),x)","\frac{4\,{\left(d+e\,x\right)}^{3/2}}{3}-\left(\frac{4\,\left(b\,e-2\,c\,d\right)}{c}-\frac{2\,b\,e-4\,c\,d}{c}\right)\,\sqrt{d+e\,x}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}-\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}-\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}+\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,1{}\mathrm{i}}{\frac{16\,\left(8\,a^4\,c^2\,e^8-6\,a^3\,b^2\,c\,e^8-8\,a^3\,b\,c^2\,d\,e^7+8\,a^3\,c^3\,d^2\,e^6+a^2\,b^4\,e^8+10\,a^2\,b^3\,c\,d\,e^7-18\,a^2\,b^2\,c^2\,d^2\,e^6+16\,a^2\,b\,c^3\,d^3\,e^5-8\,a^2\,c^4\,d^4\,e^4-2\,a\,b^5\,d\,e^7+12\,a\,b^3\,c^2\,d^3\,e^5-26\,a\,b^2\,c^3\,d^4\,e^4+24\,a\,b\,c^4\,d^5\,e^3-8\,a\,c^5\,d^6\,e^2+b^6\,d^2\,e^6-4\,b^5\,c\,d^3\,e^5+7\,b^4\,c^2\,d^4\,e^4-6\,b^3\,c^3\,d^5\,e^3+2\,b^2\,c^4\,d^6\,e^2\right)}{c}+\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}-\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}-\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}+\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}-\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}-\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}+\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,1{}\mathrm{i}}{\frac{16\,\left(8\,a^4\,c^2\,e^8-6\,a^3\,b^2\,c\,e^8-8\,a^3\,b\,c^2\,d\,e^7+8\,a^3\,c^3\,d^2\,e^6+a^2\,b^4\,e^8+10\,a^2\,b^3\,c\,d\,e^7-18\,a^2\,b^2\,c^2\,d^2\,e^6+16\,a^2\,b\,c^3\,d^3\,e^5-8\,a^2\,c^4\,d^4\,e^4-2\,a\,b^5\,d\,e^7+12\,a\,b^3\,c^2\,d^3\,e^5-26\,a\,b^2\,c^3\,d^4\,e^4+24\,a\,b\,c^4\,d^5\,e^3-8\,a\,c^5\,d^6\,e^2+b^6\,d^2\,e^6-4\,b^5\,c\,d^3\,e^5+7\,b^4\,c^2\,d^4\,e^4-6\,b^3\,c^3\,d^5\,e^3+2\,b^2\,c^4\,d^6\,e^2\right)}{c}+\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}-\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}-\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\left(\left(\frac{8\,\left(-4\,a^2\,b\,c^3\,e^5+8\,a^2\,c^4\,d\,e^4+a\,b^3\,c^2\,e^5+2\,a\,b^2\,c^3\,d\,e^4-12\,a\,b\,c^4\,d^2\,e^3+8\,a\,c^5\,d^3\,e^2-b^4\,c^2\,d\,e^4+3\,b^3\,c^3\,d^2\,e^3-2\,b^2\,c^4\,d^3\,e^2\right)}{c}+\frac{8\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,\left(b^3\,c^3\,e^3-2\,d\,b^2\,c^4\,e^2-4\,a\,b\,c^4\,e^3+8\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}+\frac{8\,\sqrt{d+e\,x}\,\left(-8\,a^3\,c^3\,e^6+18\,a^2\,b^2\,c^2\,e^6-48\,a^2\,b\,c^3\,d\,e^5+48\,a^2\,c^4\,d^2\,e^4-8\,a\,b^4\,c\,e^6+28\,a\,b^3\,c^2\,d\,e^5-36\,a\,b^2\,c^3\,d^2\,e^4+16\,a\,b\,c^4\,d^3\,e^3-8\,a\,c^5\,d^4\,e^2+b^6\,e^6-4\,b^5\,c\,d\,e^5+6\,b^4\,c^2\,d^2\,e^4-4\,b^3\,c^3\,d^3\,e^3+2\,b^2\,c^4\,d^4\,e^2\right)}{c}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2\,c^3}}\,2{}\mathrm{i}","Not used",1,"(4*(d + e*x)^(3/2))/3 - atan(((((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c - (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) - (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*1i - (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c + (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*1i)/((16*(a^2*b^4*e^8 + 8*a^4*c^2*e^8 + b^6*d^2*e^6 - 6*a^3*b^2*c*e^8 - 8*a*c^5*d^6*e^2 - 4*b^5*c*d^3*e^5 - 8*a^2*c^4*d^4*e^4 + 8*a^3*c^3*d^2*e^6 + 2*b^2*c^4*d^6*e^2 - 6*b^3*c^3*d^5*e^3 + 7*b^4*c^2*d^4*e^4 - 2*a*b^5*d*e^7 - 18*a^2*b^2*c^2*d^2*e^6 + 24*a*b*c^4*d^5*e^3 + 10*a^2*b^3*c*d*e^7 - 8*a^3*b*c^2*d*e^7 - 26*a*b^2*c^3*d^4*e^4 + 12*a*b^3*c^2*d^3*e^5 + 16*a^2*b*c^3*d^3*e^5))/c + (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c - (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) - (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c + (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*2i - atan(((((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c - (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) - (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*1i - (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c + (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*1i)/((16*(a^2*b^4*e^8 + 8*a^4*c^2*e^8 + b^6*d^2*e^6 - 6*a^3*b^2*c*e^8 - 8*a*c^5*d^6*e^2 - 4*b^5*c*d^3*e^5 - 8*a^2*c^4*d^4*e^4 + 8*a^3*c^3*d^2*e^6 + 2*b^2*c^4*d^6*e^2 - 6*b^3*c^3*d^5*e^3 + 7*b^4*c^2*d^4*e^4 - 2*a*b^5*d*e^7 - 18*a^2*b^2*c^2*d^2*e^6 + 24*a*b*c^4*d^5*e^3 + 10*a^2*b^3*c*d*e^7 - 8*a^3*b*c^2*d*e^7 - 26*a*b^2*c^3*d^4*e^4 + 12*a*b^3*c^2*d^3*e^5 + 16*a^2*b*c^3*d^3*e^5))/c + (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c - (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) - (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (((8*(a*b^3*c^2*e^5 - 4*a^2*b*c^3*e^5 + 8*a*c^5*d^3*e^2 + 8*a^2*c^4*d*e^4 - b^4*c^2*d*e^4 - 2*b^2*c^4*d^3*e^2 + 3*b^3*c^3*d^2*e^3 - 12*a*b*c^4*d^2*e^3 + 2*a*b^2*c^3*d*e^4))/c + (8*(d + e*x)^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*(b^3*c^3*e^3 - 2*b^2*c^4*d*e^2 - 4*a*b*c^4*e^3 + 8*a*c^5*d*e^2))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2) + (8*(d + e*x)^(1/2)*(b^6*e^6 - 8*a^3*c^3*e^6 - 8*a*c^5*d^4*e^2 + 18*a^2*b^2*c^2*e^6 + 48*a^2*c^4*d^2*e^4 + 2*b^2*c^4*d^4*e^2 - 4*b^3*c^3*d^3*e^3 + 6*b^4*c^2*d^2*e^4 - 8*a*b^4*c*e^6 - 4*b^5*c*d*e^5 + 16*a*b*c^4*d^3*e^3 + 28*a*b^3*c^2*d*e^5 - 48*a^2*b*c^3*d*e^5 - 36*a*b^2*c^3*d^2*e^4))/c)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(2*c^3))^(1/2)*2i - ((4*(b*e - 2*c*d))/c - (2*b*e - 4*c*d)/c)*(d + e*x)^(1/2)","B"
1614,1,2611,291,2.144551,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2),x)","4\,\sqrt{d+e\,x}+2\,\mathrm{atanh}\left(\frac{128\,a^2\,c^3\,e^4\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{8\,b^4\,c\,e^4\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{8\,b^3\,c\,e^4\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{64\,a\,b^2\,c^2\,e^4\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{16\,b^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{32\,a\,b\,c^2\,e^4\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{64\,a\,c^3\,d\,e^3\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d-\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b\,e-2\,c\,d+e\,\sqrt{b^2-4\,a\,c}}{2\,c}}-2\,\mathrm{atanh}\left(\frac{128\,a^2\,c^3\,e^4\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{8\,b^4\,c\,e^4\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{8\,b^3\,c\,e^4\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{64\,a\,b^2\,c^2\,e^4\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{16\,b^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}-\frac{32\,a\,b\,c^2\,e^4\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}+\frac{64\,a\,c^3\,d\,e^3\,\sqrt{b^2-4\,a\,c}\,\sqrt{d+e\,x}\,\sqrt{d+\frac{e\,\sqrt{b^2-4\,a\,c}}{2\,c}-\frac{b\,e}{2\,c}}}{64\,a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-16\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-16\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}+16\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+64\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-64\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{\frac{2\,c\,d-b\,e+e\,\sqrt{b^2-4\,a\,c}}{2\,c}}","Not used",1,"4*(d + e*x)^(1/2) + 2*atanh((128*a^2*c^3*e^4*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (8*b^4*c*e^4*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (8*b^3*c*e^4*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (64*a*b^2*c^2*e^4*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (16*b^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (32*a*b*c^2*e^4*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (64*a*c^3*d*e^3*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d - (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)))*(-(b*e - 2*c*d + e*(b^2 - 4*a*c)^(1/2))/(2*c))^(1/2) - 2*atanh((128*a^2*c^3*e^4*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (8*b^4*c*e^4*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (8*b^3*c*e^4*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (64*a*b^2*c^2*e^4*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (16*b^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) - (32*a*b*c^2*e^4*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)) + (64*a*c^3*d*e^3*(b^2 - 4*a*c)^(1/2)*(d + e*x)^(1/2)*(d + (e*(b^2 - 4*a*c)^(1/2))/(2*c) - (b*e)/(2*c))^(1/2))/(64*a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 16*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 16*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) + 16*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 64*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 64*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2)))*((2*c*d - b*e + e*(b^2 - 4*a*c)^(1/2))/(2*c))^(1/2)","B"
1615,1,205,175,2.370975,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)),x)","\mathrm{atan}\left(\sqrt{\frac{2\,c\,d-b\,e+e\,\sqrt{b^2-4\,a\,c}}{2\,c\,d^2-2\,b\,d\,e+2\,a\,e^2}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}\right)\,\sqrt{\frac{2\,c\,d-b\,e+e\,\sqrt{b^2-4\,a\,c}}{2\,c\,d^2-2\,b\,d\,e+2\,a\,e^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\sqrt{-\frac{b\,e-2\,c\,d+e\,\sqrt{b^2-4\,a\,c}}{2\,c\,d^2-2\,b\,d\,e+2\,a\,e^2}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{b\,e-2\,c\,d+e\,\sqrt{b^2-4\,a\,c}}{2\,c\,d^2-2\,b\,d\,e+2\,a\,e^2}}\,2{}\mathrm{i}","Not used",1,"atan(((2*c*d - b*e + e*(b^2 - 4*a*c)^(1/2))/(2*a*e^2 + 2*c*d^2 - 2*b*d*e))^(1/2)*(d + e*x)^(1/2)*1i)*((2*c*d - b*e + e*(b^2 - 4*a*c)^(1/2))/(2*a*e^2 + 2*c*d^2 - 2*b*d*e))^(1/2)*2i + atan((-(b*e - 2*c*d + e*(b^2 - 4*a*c)^(1/2))/(2*a*e^2 + 2*c*d^2 - 2*b*d*e))^(1/2)*(d + e*x)^(1/2)*1i)*(-(b*e - 2*c*d + e*(b^2 - 4*a*c)^(1/2))/(2*a*e^2 + 2*c*d^2 - 2*b*d*e))^(1/2)*2i","B"
1616,1,33147,354,9.404004,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)),x)","\frac{4\,c\,d-2\,b\,e+\sqrt{2}\,a\,e^2\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8-64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7-56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}+112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}+64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8+8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}-192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8+576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}-192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}-752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}-48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+\sqrt{2}\,a\,e^2\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8+64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7+56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}-112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}-64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8-8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}+192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8-576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}+192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}+752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}+48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+\sqrt{2}\,c\,d^2\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8-64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7-56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}+112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}+64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8+8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}-192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8+576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}-192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}-752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}-48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}+\sqrt{2}\,c\,d^2\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8+64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7+56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}-112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}-64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8-8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}+192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8-576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}+192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}+752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}+48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}-\sqrt{2}\,b\,d\,e\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8-64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7-56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}+112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}+64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8+8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}-192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}-8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8+576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}+16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}-192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}-752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}-48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3+b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3-a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2+3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}-3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}-\sqrt{2}\,b\,d\,e\,\mathrm{atan}\left(-\frac{\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(\sqrt{d+e\,x}\,\left(-64\,a^5\,c^5\,e^{10}+48\,a^4\,b^2\,c^4\,e^{10}+128\,a^4\,b\,c^5\,d\,e^9-128\,a^4\,c^6\,d^2\,e^8-8\,a^3\,b^4\,c^3\,e^{10}-128\,a^3\,b^3\,c^4\,d\,e^9+128\,a^3\,b^2\,c^5\,d^2\,e^8+24\,a^2\,b^5\,c^3\,d\,e^9+72\,a^2\,b^4\,c^4\,d^2\,e^8-320\,a^2\,b^3\,c^5\,d^3\,e^7+480\,a^2\,b^2\,c^6\,d^4\,e^6-384\,a^2\,b\,c^7\,d^5\,e^5+128\,a^2\,c^8\,d^6\,e^4-24\,a\,b^6\,c^3\,d^2\,e^8+48\,a\,b^5\,c^4\,d^3\,e^7+40\,a\,b^4\,c^5\,d^4\,e^6-256\,a\,b^3\,c^6\,d^5\,e^5+384\,a\,b^2\,c^7\,d^6\,e^4-256\,a\,b\,c^8\,d^7\,e^3+64\,a\,c^9\,d^8\,e^2+8\,b^7\,c^3\,d^3\,e^7-40\,b^6\,c^4\,d^4\,e^6+88\,b^5\,c^5\,d^5\,e^5-104\,b^4\,c^6\,d^6\,e^4+64\,b^3\,c^7\,d^7\,e^3-16\,b^2\,c^8\,d^8\,e^2\right)-\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\left(64\,a\,c^9\,d^{10}\,e^2-64\,a^6\,c^4\,e^{12}-8\,a^4\,b^4\,c^2\,e^{12}+48\,a^5\,b^2\,c^3\,e^{12}+192\,a^2\,c^8\,d^8\,e^4+128\,a^3\,c^7\,d^6\,e^6-128\,a^4\,c^6\,d^4\,e^8-192\,a^5\,c^5\,d^2\,e^{10}-16\,b^2\,c^8\,d^{10}\,e^2+80\,b^3\,c^7\,d^9\,e^3-168\,b^4\,c^6\,d^8\,e^4+192\,b^5\,c^5\,d^7\,e^5-128\,b^6\,c^4\,d^6\,e^6+48\,b^7\,c^3\,d^5\,e^7-8\,b^8\,c^2\,d^4\,e^8+\frac{\sqrt{2}\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,\left(-32\,a^6\,b\,c^3\,e^{13}+64\,a^6\,c^4\,d\,e^{12}+8\,a^5\,b^3\,c^2\,e^{13}+144\,a^5\,b^2\,c^3\,d\,e^{12}-480\,a^5\,b\,c^4\,d^2\,e^{11}+320\,a^5\,c^5\,d^3\,e^{10}-40\,a^4\,b^4\,c^2\,d\,e^{12}-200\,a^4\,b^3\,c^3\,d^2\,e^{11}+1200\,a^4\,b^2\,c^4\,d^3\,e^{10}-1600\,a^4\,b\,c^5\,d^4\,e^9+640\,a^4\,c^6\,d^5\,e^8+80\,a^3\,b^5\,c^2\,d^2\,e^{11}-1200\,a^3\,b^3\,c^4\,d^4\,e^9+2720\,a^3\,b^2\,c^5\,d^5\,e^8-2240\,a^3\,b\,c^6\,d^6\,e^7+640\,a^3\,c^7\,d^7\,e^6-80\,a^2\,b^6\,c^2\,d^3\,e^{10}+240\,a^2\,b^5\,c^3\,d^4\,e^9+240\,a^2\,b^4\,c^4\,d^5\,e^8-1680\,a^2\,b^3\,c^5\,d^6\,e^7+2400\,a^2\,b^2\,c^6\,d^7\,e^6-1440\,a^2\,b\,c^7\,d^8\,e^5+320\,a^2\,c^8\,d^9\,e^4+40\,a\,b^7\,c^2\,d^4\,e^9-208\,a\,b^6\,c^3\,d^5\,e^8+336\,a\,b^5\,c^4\,d^6\,e^7-600\,a\,b^3\,c^6\,d^8\,e^5+720\,a\,b^2\,c^7\,d^9\,e^4-352\,a\,b\,c^8\,d^{10}\,e^3+64\,a\,c^9\,d^{11}\,e^2-8\,b^8\,c^2\,d^5\,e^8+56\,b^7\,c^3\,d^6\,e^7-160\,b^6\,c^4\,d^7\,e^6+240\,b^5\,c^5\,d^8\,e^5-200\,b^4\,c^6\,d^9\,e^4+88\,b^3\,c^7\,d^{10}\,e^3-16\,b^2\,c^8\,d^{11}\,e^2\right)}{2}+1248\,a^2\,b^2\,c^6\,d^6\,e^6-1056\,a^2\,b^3\,c^5\,d^5\,e^7+432\,a^2\,b^4\,c^4\,d^4\,e^8-48\,a^2\,b^6\,c^2\,d^2\,e^{10}+608\,a^3\,b^2\,c^5\,d^4\,e^8-576\,a^3\,b^3\,c^4\,d^3\,e^9+192\,a^3\,b^4\,c^3\,d^2\,e^{10}+48\,a^4\,b^2\,c^4\,d^2\,e^{10}-320\,a\,b\,c^8\,d^9\,e^3+192\,a^5\,b\,c^4\,d\,e^{11}+624\,a\,b^2\,c^7\,d^8\,e^4-576\,a\,b^3\,c^6\,d^7\,e^5+192\,a\,b^4\,c^5\,d^6\,e^6+96\,a\,b^5\,c^4\,d^5\,e^7-112\,a\,b^6\,c^3\,d^4\,e^8+32\,a\,b^7\,c^2\,d^3\,e^9-768\,a^2\,b\,c^7\,d^7\,e^5-384\,a^3\,b\,c^6\,d^5\,e^7+32\,a^3\,b^5\,c^2\,d\,e^{11}+256\,a^4\,b\,c^5\,d^3\,e^9-176\,a^4\,b^3\,c^3\,d\,e^{11}\right)}{2}\right)\,1{}\mathrm{i}}{2}}{8\,a\,b^7\,c^2\,e^9-128\,a^4\,b\,c^5\,e^9+256\,a^4\,c^6\,d\,e^8-8\,b^8\,c^2\,d\,e^8+64\,a^4\,c^5\,e^9\,\sqrt{b^2-4\,a\,c}-72\,a^2\,b^5\,c^3\,e^9+192\,a^3\,b^3\,c^4\,e^9-768\,a^2\,c^8\,d^5\,e^4-512\,a^3\,c^7\,d^3\,e^6-48\,b^4\,c^6\,d^5\,e^4+120\,b^5\,c^5\,d^4\,e^5-112\,b^6\,c^4\,d^3\,e^6+48\,b^7\,c^3\,d^2\,e^7+56\,a^2\,b^4\,c^3\,e^9\,\sqrt{b^2-4\,a\,c}-112\,a^3\,b^2\,c^4\,e^9\,\sqrt{b^2-4\,a\,c}-64\,a^2\,c^7\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-192\,a^3\,c^6\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-48\,b^2\,c^7\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+144\,b^3\,c^6\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-184\,b^4\,c^5\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}+128\,b^5\,c^4\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-48\,b^6\,c^3\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}-1536\,a^2\,b^2\,c^6\,d^3\,e^6+384\,a^2\,b^3\,c^5\,d^2\,e^7+32\,a\,b^6\,c^3\,d\,e^8-8\,a\,b^6\,c^2\,e^9\,\sqrt{b^2-4\,a\,c}+192\,a\,c^8\,d^6\,e^3\,\sqrt{b^2-4\,a\,c}+8\,b^7\,c^2\,d\,e^8\,\sqrt{b^2-4\,a\,c}+384\,a\,b^2\,c^7\,d^5\,e^4-960\,a\,b^3\,c^6\,d^4\,e^5+864\,a\,b^4\,c^5\,d^3\,e^6-336\,a\,b^5\,c^4\,d^2\,e^7+1920\,a^2\,b\,c^7\,d^4\,e^5+144\,a^2\,b^4\,c^4\,d\,e^8+768\,a^3\,b\,c^6\,d^2\,e^7-640\,a^3\,b^2\,c^5\,d\,e^8-576\,a\,b\,c^7\,d^5\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,b^5\,c^3\,d\,e^8\,\sqrt{b^2-4\,a\,c}+192\,a^3\,b\,c^5\,d\,e^8\,\sqrt{b^2-4\,a\,c}+752\,a\,b^2\,c^6\,d^4\,e^5\,\sqrt{b^2-4\,a\,c}-544\,a\,b^3\,c^5\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}+192\,a\,b^4\,c^4\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}+128\,a^2\,b\,c^6\,d^3\,e^6\,\sqrt{b^2-4\,a\,c}-112\,a^2\,b^3\,c^4\,d\,e^8\,\sqrt{b^2-4\,a\,c}+48\,a^2\,b^2\,c^5\,d^2\,e^7\,\sqrt{b^2-4\,a\,c}}\right)\,\sqrt{-\frac{b^3\,e^3-2\,c^3\,d^3-b^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b\,c\,e^3+a\,c\,e^3\,\sqrt{b^2-4\,a\,c}+6\,a\,c^2\,d\,e^2+3\,b\,c^2\,d^2\,e-3\,b^2\,c\,d\,e^2-3\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+3\,b\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}\,\sqrt{d+e\,x}\,1{}\mathrm{i}}{\sqrt{d+e\,x}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"(4*c*d - 2*b*e + 2^(1/2)*a*e^2*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 - 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 - 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) + 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) + 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 + 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) - 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 + 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) - 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) - 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) - 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i + 2^(1/2)*a*e^2*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 + 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 + 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) - 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) - 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 - 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) + 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 - 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) + 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) + 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) + 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i + 2^(1/2)*c*d^2*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 - 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 - 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) + 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) + 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 + 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) - 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 + 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) - 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) - 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) - 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i + 2^(1/2)*c*d^2*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 + 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 + 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) - 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) - 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 - 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) + 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 - 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) + 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) + 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) + 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i - 2^(1/2)*b*d*e*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 - 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 - 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) + 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) + 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 + 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) - 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) - 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 + 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) + 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) - 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) - 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) - 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 + b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 - a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 + 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i - 2^(1/2)*b*d*e*atan(-((2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*((d + e*x)^(1/2)*(64*a*c^9*d^8*e^2 - 64*a^5*c^5*e^10 - 8*a^3*b^4*c^3*e^10 + 48*a^4*b^2*c^4*e^10 + 128*a^2*c^8*d^6*e^4 - 128*a^4*c^6*d^2*e^8 - 16*b^2*c^8*d^8*e^2 + 64*b^3*c^7*d^7*e^3 - 104*b^4*c^6*d^6*e^4 + 88*b^5*c^5*d^5*e^5 - 40*b^6*c^4*d^4*e^6 + 8*b^7*c^3*d^3*e^7 + 480*a^2*b^2*c^6*d^4*e^6 - 320*a^2*b^3*c^5*d^3*e^7 + 72*a^2*b^4*c^4*d^2*e^8 + 128*a^3*b^2*c^5*d^2*e^8 - 256*a*b*c^8*d^7*e^3 + 128*a^4*b*c^5*d*e^9 + 384*a*b^2*c^7*d^6*e^4 - 256*a*b^3*c^6*d^5*e^5 + 40*a*b^4*c^5*d^4*e^6 + 48*a*b^5*c^4*d^3*e^7 - 24*a*b^6*c^3*d^2*e^8 - 384*a^2*b*c^7*d^5*e^5 + 24*a^2*b^5*c^3*d*e^9 - 128*a^3*b^3*c^4*d*e^9) - (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(64*a*c^9*d^10*e^2 - 64*a^6*c^4*e^12 - 8*a^4*b^4*c^2*e^12 + 48*a^5*b^2*c^3*e^12 + 192*a^2*c^8*d^8*e^4 + 128*a^3*c^7*d^6*e^6 - 128*a^4*c^6*d^4*e^8 - 192*a^5*c^5*d^2*e^10 - 16*b^2*c^8*d^10*e^2 + 80*b^3*c^7*d^9*e^3 - 168*b^4*c^6*d^8*e^4 + 192*b^5*c^5*d^7*e^5 - 128*b^6*c^4*d^6*e^6 + 48*b^7*c^3*d^5*e^7 - 8*b^8*c^2*d^4*e^8 + (2^(1/2)*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*(64*a*c^9*d^11*e^2 - 32*a^6*b*c^3*e^13 + 64*a^6*c^4*d*e^12 + 8*a^5*b^3*c^2*e^13 + 320*a^2*c^8*d^9*e^4 + 640*a^3*c^7*d^7*e^6 + 640*a^4*c^6*d^5*e^8 + 320*a^5*c^5*d^3*e^10 - 16*b^2*c^8*d^11*e^2 + 88*b^3*c^7*d^10*e^3 - 200*b^4*c^6*d^9*e^4 + 240*b^5*c^5*d^8*e^5 - 160*b^6*c^4*d^7*e^6 + 56*b^7*c^3*d^6*e^7 - 8*b^8*c^2*d^5*e^8 + 2400*a^2*b^2*c^6*d^7*e^6 - 1680*a^2*b^3*c^5*d^6*e^7 + 240*a^2*b^4*c^4*d^5*e^8 + 240*a^2*b^5*c^3*d^4*e^9 - 80*a^2*b^6*c^2*d^3*e^10 + 2720*a^3*b^2*c^5*d^5*e^8 - 1200*a^3*b^3*c^4*d^4*e^9 + 80*a^3*b^5*c^2*d^2*e^11 + 1200*a^4*b^2*c^4*d^3*e^10 - 200*a^4*b^3*c^3*d^2*e^11 - 352*a*b*c^8*d^10*e^3 + 720*a*b^2*c^7*d^9*e^4 - 600*a*b^3*c^6*d^8*e^5 + 336*a*b^5*c^4*d^6*e^7 - 208*a*b^6*c^3*d^5*e^8 + 40*a*b^7*c^2*d^4*e^9 - 1440*a^2*b*c^7*d^8*e^5 - 2240*a^3*b*c^6*d^6*e^7 - 1600*a^4*b*c^5*d^4*e^9 - 40*a^4*b^4*c^2*d*e^12 - 480*a^5*b*c^4*d^2*e^11 + 144*a^5*b^2*c^3*d*e^12))/2 + 1248*a^2*b^2*c^6*d^6*e^6 - 1056*a^2*b^3*c^5*d^5*e^7 + 432*a^2*b^4*c^4*d^4*e^8 - 48*a^2*b^6*c^2*d^2*e^10 + 608*a^3*b^2*c^5*d^4*e^8 - 576*a^3*b^3*c^4*d^3*e^9 + 192*a^3*b^4*c^3*d^2*e^10 + 48*a^4*b^2*c^4*d^2*e^10 - 320*a*b*c^8*d^9*e^3 + 192*a^5*b*c^4*d*e^11 + 624*a*b^2*c^7*d^8*e^4 - 576*a*b^3*c^6*d^7*e^5 + 192*a*b^4*c^5*d^6*e^6 + 96*a*b^5*c^4*d^5*e^7 - 112*a*b^6*c^3*d^4*e^8 + 32*a*b^7*c^2*d^3*e^9 - 768*a^2*b*c^7*d^7*e^5 - 384*a^3*b*c^6*d^5*e^7 + 32*a^3*b^5*c^2*d*e^11 + 256*a^4*b*c^5*d^3*e^9 - 176*a^4*b^3*c^3*d*e^11))/2)*1i)/2)/(8*a*b^7*c^2*e^9 - 128*a^4*b*c^5*e^9 + 256*a^4*c^6*d*e^8 - 8*b^8*c^2*d*e^8 + 64*a^4*c^5*e^9*(b^2 - 4*a*c)^(1/2) - 72*a^2*b^5*c^3*e^9 + 192*a^3*b^3*c^4*e^9 - 768*a^2*c^8*d^5*e^4 - 512*a^3*c^7*d^3*e^6 - 48*b^4*c^6*d^5*e^4 + 120*b^5*c^5*d^4*e^5 - 112*b^6*c^4*d^3*e^6 + 48*b^7*c^3*d^2*e^7 + 56*a^2*b^4*c^3*e^9*(b^2 - 4*a*c)^(1/2) - 112*a^3*b^2*c^4*e^9*(b^2 - 4*a*c)^(1/2) - 64*a^2*c^7*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 192*a^3*c^6*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 48*b^2*c^7*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 144*b^3*c^6*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 184*b^4*c^5*d^4*e^5*(b^2 - 4*a*c)^(1/2) + 128*b^5*c^4*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 48*b^6*c^3*d^2*e^7*(b^2 - 4*a*c)^(1/2) - 1536*a^2*b^2*c^6*d^3*e^6 + 384*a^2*b^3*c^5*d^2*e^7 + 32*a*b^6*c^3*d*e^8 - 8*a*b^6*c^2*e^9*(b^2 - 4*a*c)^(1/2) + 192*a*c^8*d^6*e^3*(b^2 - 4*a*c)^(1/2) + 8*b^7*c^2*d*e^8*(b^2 - 4*a*c)^(1/2) + 384*a*b^2*c^7*d^5*e^4 - 960*a*b^3*c^6*d^4*e^5 + 864*a*b^4*c^5*d^3*e^6 - 336*a*b^5*c^4*d^2*e^7 + 1920*a^2*b*c^7*d^4*e^5 + 144*a^2*b^4*c^4*d*e^8 + 768*a^3*b*c^6*d^2*e^7 - 640*a^3*b^2*c^5*d*e^8 - 576*a*b*c^7*d^5*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*b^5*c^3*d*e^8*(b^2 - 4*a*c)^(1/2) + 192*a^3*b*c^5*d*e^8*(b^2 - 4*a*c)^(1/2) + 752*a*b^2*c^6*d^4*e^5*(b^2 - 4*a*c)^(1/2) - 544*a*b^3*c^5*d^3*e^6*(b^2 - 4*a*c)^(1/2) + 192*a*b^4*c^4*d^2*e^7*(b^2 - 4*a*c)^(1/2) + 128*a^2*b*c^6*d^3*e^6*(b^2 - 4*a*c)^(1/2) - 112*a^2*b^3*c^4*d*e^8*(b^2 - 4*a*c)^(1/2) + 48*a^2*b^2*c^5*d^2*e^7*(b^2 - 4*a*c)^(1/2)))*(-(b^3*e^3 - 2*c^3*d^3 - b^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b*c*e^3 + a*c*e^3*(b^2 - 4*a*c)^(1/2) + 6*a*c^2*d*e^2 + 3*b*c^2*d^2*e - 3*b^2*c*d*e^2 - 3*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + 3*b*c*d*e^2*(b^2 - 4*a*c)^(1/2))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))^(1/2)*(d + e*x)^(1/2)*1i)/((d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e))","B"
1617,1,50695,518,11.380347,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(5/2)*(a + b*x + c*x^2)),x)","-\frac{\frac{2\,\left(b\,e-2\,c\,d\right)}{3\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}-\frac{2\,\left(d+e\,x\right)\,\left(b^2\,e^2-2\,b\,c\,d\,e+2\,c^2\,d^2-2\,a\,c\,e^2\right)}{{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}}{{\left(d+e\,x\right)}^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{b^5\,e^5-2\,c^5\,d^5+b^4\,e^5\,\sqrt{b^2-4\,a\,c}+5\,a^2\,b\,c^2\,e^5+20\,a\,c^4\,d^3\,e^2-10\,a^2\,c^3\,d\,e^4+a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-10\,b^2\,c^3\,d^3\,e^2+10\,b^3\,c^2\,d^2\,e^3-5\,a\,b^3\,c\,e^5+5\,b\,c^4\,d^4\,e-5\,b^4\,c\,d\,e^4+5\,c^4\,d^4\,e\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}-5\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}-30\,a\,b\,c^3\,d^2\,e^3+20\,a\,b^2\,c^2\,d\,e^4-10\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-10\,b\,c^3\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}{2\,\left(a^5\,e^{10}-5\,a^4\,b\,d\,e^9+5\,a^4\,c\,d^2\,e^8+10\,a^3\,b^2\,d^2\,e^8-20\,a^3\,b\,c\,d^3\,e^7+10\,a^3\,c^2\,d^4\,e^6-10\,a^2\,b^3\,d^3\,e^7+30\,a^2\,b^2\,c\,d^4\,e^6-30\,a^2\,b\,c^2\,d^5\,e^5+10\,a^2\,c^3\,d^6\,e^4+5\,a\,b^4\,d^4\,e^6-20\,a\,b^3\,c\,d^5\,e^5+30\,a\,b^2\,c^2\,d^6\,e^4-20\,a\,b\,c^3\,d^7\,e^3+5\,a\,c^4\,d^8\,e^2-b^5\,d^5\,e^5+5\,b^4\,c\,d^6\,e^4-10\,b^3\,c^2\,d^7\,e^3+10\,b^2\,c^3\,d^8\,e^2-5\,b\,c^4\,d^9\,e+c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5-2\,c^5\,d^5+b^4\,e^5\,\sqrt{b^2-4\,a\,c}+5\,a^2\,b\,c^2\,e^5+20\,a\,c^4\,d^3\,e^2-10\,a^2\,c^3\,d\,e^4+a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}-10\,b^2\,c^3\,d^3\,e^2+10\,b^3\,c^2\,d^2\,e^3-5\,a\,b^3\,c\,e^5+5\,b\,c^4\,d^4\,e-5\,b^4\,c\,d\,e^4+5\,c^4\,d^4\,e\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}-5\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}-30\,a\,b\,c^3\,d^2\,e^3+20\,a\,b^2\,c^2\,d\,e^4-10\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-10\,b\,c^3\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}{2\,\left(a^5\,e^{10}-5\,a^4\,b\,d\,e^9+5\,a^4\,c\,d^2\,e^8+10\,a^3\,b^2\,d^2\,e^8-20\,a^3\,b\,c\,d^3\,e^7+10\,a^3\,c^2\,d^4\,e^6-10\,a^2\,b^3\,d^3\,e^7+30\,a^2\,b^2\,c\,d^4\,e^6-30\,a^2\,b\,c^2\,d^5\,e^5+10\,a^2\,c^3\,d^6\,e^4+5\,a\,b^4\,d^4\,e^6-20\,a\,b^3\,c\,d^5\,e^5+30\,a\,b^2\,c^2\,d^6\,e^4-20\,a\,b\,c^3\,d^7\,e^3+5\,a\,c^4\,d^8\,e^2-b^5\,d^5\,e^5+5\,b^4\,c\,d^6\,e^4-10\,b^3\,c^2\,d^7\,e^3+10\,b^2\,c^3\,d^8\,e^2-5\,b\,c^4\,d^9\,e+c^5\,d^{10}\right)}}\,\left(-32\,a^{11}\,b\,c^3\,e^{23}+64\,a^{11}\,c^4\,d\,e^{22}+8\,a^{10}\,b^3\,c^2\,e^{23}+304\,a^{10}\,b^2\,c^3\,d\,e^{22}-960\,a^{10}\,b\,c^4\,d^2\,e^{21}+640\,a^{10}\,c^5\,d^3\,e^{20}-80\,a^9\,b^4\,c^2\,d\,e^{22}-1200\,a^9\,b^3\,c^3\,d^2\,e^{21}+5600\,a^9\,b^2\,c^4\,d^3\,e^{20}-7200\,a^9\,b\,c^5\,d^4\,e^{19}+2880\,a^9\,c^6\,d^5\,e^{18}+360\,a^8\,b^5\,c^2\,d^2\,e^{21}+2400\,a^8\,b^4\,c^3\,d^3\,e^{20}-17400\,a^8\,b^3\,c^4\,d^4\,e^{19}+33840\,a^8\,b^2\,c^5\,d^5\,e^{18}-26880\,a^8\,b\,c^6\,d^6\,e^{17}+7680\,a^8\,c^7\,d^7\,e^{16}-960\,a^7\,b^6\,c^2\,d^3\,e^{20}-1920\,a^7\,b^5\,c^3\,d^4\,e^{19}+31680\,a^7\,b^4\,c^4\,d^5\,e^{18}-87360\,a^7\,b^3\,c^5\,d^6\,e^{17}+105600\,a^7\,b^2\,c^6\,d^7\,e^{16}-60480\,a^7\,b\,c^7\,d^8\,e^{15}+13440\,a^7\,c^8\,d^9\,e^{14}+1680\,a^6\,b^7\,c^2\,d^4\,e^{19}-2016\,a^6\,b^6\,c^3\,d^5\,e^{18}-32928\,a^6\,b^5\,c^4\,d^6\,e^{17}+134400\,a^6\,b^4\,c^5\,d^7\,e^{16}-226800\,a^6\,b^3\,c^6\,d^8\,e^{15}+198240\,a^6\,b^2\,c^7\,d^9\,e^{14}-88704\,a^6\,b\,c^8\,d^{10}\,e^{13}+16128\,a^6\,c^9\,d^{11}\,e^{12}-2016\,a^5\,b^8\,c^2\,d^5\,e^{18}+7392\,a^5\,b^7\,c^3\,d^6\,e^{17}+13440\,a^5\,b^6\,c^4\,d^7\,e^{16}-120960\,a^5\,b^5\,c^5\,d^8\,e^{15}+285600\,a^5\,b^4\,c^6\,d^9\,e^{14}-347424\,a^5\,b^3\,c^7\,d^{10}\,e^{13}+237888\,a^5\,b^2\,c^8\,d^{11}\,e^{12}-87360\,a^5\,b\,c^9\,d^{12}\,e^{11}+13440\,a^5\,c^{10}\,d^{13}\,e^{10}+1680\,a^4\,b^9\,c^2\,d^6\,e^{17}-9600\,a^4\,b^8\,c^3\,d^7\,e^{16}+10800\,a^4\,b^7\,c^4\,d^8\,e^{15}+50400\,a^4\,b^6\,c^5\,d^9\,e^{14}-203280\,a^4\,b^5\,c^6\,d^{10}\,e^{13}+342720\,a^4\,b^4\,c^7\,d^{11}\,e^{12}-327600\,a^4\,b^3\,c^8\,d^{12}\,e^{11}+184800\,a^4\,b^2\,c^9\,d^{13}\,e^{10}-57600\,a^4\,b\,c^{10}\,d^{14}\,e^9+7680\,a^4\,c^{11}\,d^{15}\,e^8-960\,a^3\,b^{10}\,c^2\,d^7\,e^{16}+7200\,a^3\,b^9\,c^3\,d^8\,e^{15}-19200\,a^3\,b^8\,c^4\,d^9\,e^{14}+10560\,a^3\,b^7\,c^5\,d^{10}\,e^{13}+60480\,a^3\,b^6\,c^6\,d^{11}\,e^{12}-174720\,a^3\,b^5\,c^7\,d^{12}\,e^{11}+235200\,a^3\,b^4\,c^8\,d^{13}\,e^{10}-187200\,a^3\,b^3\,c^9\,d^{14}\,e^9+90240\,a^3\,b^2\,c^{10}\,d^{15}\,e^8-24480\,a^3\,b\,c^{11}\,d^{16}\,e^7+2880\,a^3\,c^{12}\,d^{17}\,e^6+360\,a^2\,b^{11}\,c^2\,d^8\,e^{15}-3280\,a^2\,b^{10}\,c^3\,d^9\,e^{14}+12320\,a^2\,b^9\,c^4\,d^{10}\,e^{13}-23040\,a^2\,b^8\,c^5\,d^{11}\,e^{12}+15600\,a^2\,b^7\,c^6\,d^{12}\,e^{11}+23520\,a^2\,b^6\,c^7\,d^{13}\,e^{10}-70560\,a^2\,b^5\,c^8\,d^{14}\,e^9+84480\,a^2\,b^4\,c^9\,d^{15}\,e^8-59160\,a^2\,b^3\,c^{10}\,d^{16}\,e^7+25200\,a^2\,b^2\,c^{11}\,d^{17}\,e^6-6080\,a^2\,b\,c^{12}\,d^{18}\,e^5+640\,a^2\,c^{13}\,d^{19}\,e^4-80\,a\,b^{12}\,c^2\,d^9\,e^{14}+848\,a\,b^{11}\,c^3\,d^{10}\,e^{13}-3936\,a\,b^{1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2\,e^{16}-5760\,a^6\,b^3\,c^6\,d^3\,e^{15}+13120\,a^6\,b^2\,c^7\,d^4\,e^{14}-12288\,a^6\,b\,c^8\,d^5\,e^{13}+4096\,a^6\,c^9\,d^6\,e^{12}-48\,a^5\,b^7\,c^3\,d\,e^{17}-720\,a^5\,b^6\,c^4\,d^2\,e^{16}+1920\,a^5\,b^5\,c^5\,d^3\,e^{15}+3840\,a^5\,b^4\,c^6\,d^4\,e^{14}-21888\,a^5\,b^3\,c^7\,d^5\,e^{13}+34176\,a^5\,b^2\,c^8\,d^6\,e^{12}-23040\,a^5\,b\,c^9\,d^7\,e^{11}+5760\,a^5\,c^{10}\,d^8\,e^{10}+120\,a^4\,b^8\,c^3\,d^2\,e^{16}+560\,a^4\,b^7\,c^4\,d^3\,e^{15}-4360\,a^4\,b^6\,c^5\,d^4\,e^{14}+6624\,a^4\,b^5\,c^6\,d^5\,e^{13}+7200\,a^4\,b^4\,c^7\,d^6\,e^{12}-32640\,a^4\,b^3\,c^8\,d^7\,e^{11}+38880\,a^4\,b^2\,c^9\,d^8\,e^{10}-20480\,a^4\,b\,c^{10}\,d^9\,e^9+4096\,a^4\,c^{11}\,d^{10}\,e^8-160\,a^3\,b^9\,c^3\,d^3\,e^{15}+160\,a^3\,b^8\,c^4\,d^4\,e^{14}+2976\,a^3\,b^7\,c^5\,d^5\,e^{13}-11360\,a^3\,b^6\,c^6\,d^6\,e^{12}+15360\,a^3\,b^5\,c^7\,d^7\,e^{11}-2880\,a^3\,b^4\,c^8\,d^8\,e^{10}-14720\,a^3\,b^3\,c^9\,d^9\,e^9+17024\,a^3\,b^2\,c^{10}\,d^{10}\,e^8-7680\,a^3\,b\,c^{11}\,d^{11}\,e^7+1280\,a^3\,c^{12}\,d^{12}\,e^6+120\,a^2\,b^{10}\,c^3\,d^4\,e^{14}-576\,a^2\,b^9\,c^4\,d^5\,e^{13}+240\,a^2\,b^8\,c^5\,d^6\,e^{12}+4320\,a^2\,b^7\,c^6\,d^7\,e^{11}-13320\,a^2\,b^6\,c^7\,d^8\,e^{10}+18720\,a^2\,b^5\,c^8\,d^9\,e^9-14304\,a^2\,b^4\,c^9\,d^{10}\,e^8+5760\,a^2\,b^3\,c^{10}\,d^{11}\,e^7-960\,a^2\,b^2\,c^{11}\,d^{12}\,e^6-48\,a\,b^{11}\,c^3\,d^5\,e^{13}+368\,a\,b^{10}\,c^4\,d^6\,e^{12}-1120\,a\,b^9\,c^5\,d^7\,e^{11}+1440\,a\,b^8\,c^6\,d^8\,e^{10}+400\,a\,b^7\,c^7\,d^9\,e^9-4304\,a\,b^6\,c^8\,d^{10}\,e^8+7296\,a\,b^5\,c^9\,d^{11}\,e^7-7040\,a\,b^4\,c^{10}\,d^{12}\,e^6+4480\,a\,b^3\,c^{11}\,d^{13}\,e^5-1920\,a\,b^2\,c^{12}\,d^{14}\,e^4+512\,a\,b\,c^{13}\,d^{15}\,e^3-64\,a\,c^{14}\,d^{16}\,e^2+8\,b^{12}\,c^3\,d^6\,e^{12}-80\,b^{11}\,c^4\,d^7\,e^{11}+360\,b^{10}\,c^5\,d^8\,e^{10}-960\,b^9\,c^6\,d^9\,e^9+1688\,b^8\,c^7\,d^{10}\,e^8-2064\,b^7\,c^8\,d^{11}\,e^7+1800\,b^6\,c^9\,d^{12}\,e^6-1120\,b^5\,c^{10}\,d^{13}\,e^5+480\,b^4\,c^{11}\,d^{14}\,e^4-128\,b^3\,c^{12}\,d^{15}\,e^3+16\,b^2\,c^{13}\,d^{16}\,e^2\right)\right)\,\sqrt{\frac{2\,c^5\,d^5-b^5\,e^5+b^4\,e^5\,\sqrt{b^2-4\,a\,c}-5\,a^2\,b\,c^2\,e^5-20\,a\,c^4\,d^3\,e^2+10\,a^2\,c^3\,d\,e^4+a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^3\,d^3\,e^2-10\,b^3\,c^2\,d^2\,e^3+5\,a\,b^3\,c\,e^5-5\,b\,c^4\,d^4\,e+5\,b^4\,c\,d\,e^4+5\,c^4\,d^4\,e\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}-5\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+30\,a\,b\,c^3\,d^2\,e^3-20\,a\,b^2\,c^2\,d\,e^4-10\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-10\,b\,c^3\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}{2\,\left(a^5\,e^{10}-5\,a^4\,b\,d\,e^9+5\,a^4\,c\,d^2\,e^8+10\,a^3\,b^2\,d^2\,e^8-20\,a^3\,b\,c\,d^3\,e^7+10\,a^3\,c^2\,d^4\,e^6-10\,a^2\,b^3\,d^3\,e^7+30\,a^2\,b^2\,c\,d^4\,e^6-30\,a^2\,b\,c^2\,d^5\,e^5+10\,a^2\,c^3\,d^6\,e^4+5\,a\,b^4\,d^4\,e^6-20\,a\,b^3\,c\,d^5\,e^5+30\,a\,b^2\,c^2\,d^6\,e^4-20\,a\,b\,c^3\,d^7\,e^3+5\,a\,c^4\,d^8\,e^2-b^5\,d^5\,e^5+5\,b^4\,c\,d^6\,e^4-10\,b^3\,c^2\,d^7\,e^3+10\,b^2\,c^3\,d^8\,e^2-5\,b\,c^4\,d^9\,e+c^5\,d^{10}\right)}}-128\,a\,c^{14}\,d^{14}\,e^2+16\,a^6\,b^4\,c^5\,e^{16}-96\,a^7\,b^2\,c^6\,e^{16}-640\,a^2\,c^{13}\,d^{12}\,e^4-1152\,a^3\,c^{12}\,d^{10}\,e^6-640\,a^4\,c^{11}\,d^8\,e^8+640\,a^5\,c^{10}\,d^6\,e^{10}+1152\,a^6\,c^9\,d^4\,e^{12}+640\,a^7\,c^8\,d^2\,e^{14}+32\,b^2\,c^{13}\,d^{14}\,e^2-224\,b^3\,c^{12}\,d^{13}\,e^3+688\,b^4\,c^{11}\,d^{12}\,e^4-1216\,b^5\,c^{10}\,d^{11}\,e^5+1360\,b^6\,c^9\,d^{10}\,e^6-992\,b^7\,c^8\,d^9\,e^7+464\,b^8\,c^7\,d^8\,e^8-128\,b^9\,c^6\,d^7\,e^9+16\,b^{10}\,c^5\,d^6\,e^{10}-9696\,a^2\,b^2\,c^{11}\,d^{10}\,e^6+13280\,a^2\,b^3\,c^{10}\,d^9\,e^7-10320\,a^2\,b^4\,c^9\,d^8\,e^8+3840\,a^2\,b^5\,c^8\,d^7\,e^9+320\,a^2\,b^6\,c^7\,d^6\,e^{10}-864\,a^2\,b^7\,c^6\,d^5\,e^{11}+240\,a^2\,b^8\,c^5\,d^4\,e^{12}-12320\,a^3\,b^2\,c^{10}\,d^8\,e^8+14720\,a^3\,b^3\,c^9\,d^7\,e^9-10240\,a^3\,b^4\,c^8\,d^6\,e^{10}+3392\,a^3\,b^5\,c^7\,d^5\,e^{11}+160\,a^3\,b^6\,c^6\,d^4\,e^{12}-320\,a^3\,b^7\,c^5\,d^3\,e^{13}-5280\,a^4\,b^2\,c^9\,d^6\,e^{10}+6880\,a^4\,b^3\,c^8\,d^5\,e^{11}-4720\,a^4\,b^4\,c^7\,d^4\,e^{12}+960\,a^4\,b^5\,c^6\,d^3\,e^{13}+240\,a^4\,b^6\,c^5\,d^2\,e^{14}+672\,a^5\,b^2\,c^8\,d^4\,e^{12}+1856\,a^5\,b^3\,c^7\,d^3\,e^{13}-1152\,a^5\,b^4\,c^6\,d^2\,e^{14}+608\,a^6\,b^2\,c^7\,d^2\,e^{14}+896\,a\,b\,c^{13}\,d^{13}\,e^3-640\,a^7\,b\,c^7\,d\,e^{15}-2592\,a\,b^2\,c^{12}\,d^{12}\,e^4+3904\,a\,b^3\,c^{11}\,d^{11}\,e^5-2944\,a\,b^4\,c^{10}\,d^{10}\,e^6+288\,a\,b^5\,c^9\,d^9\,e^7+1504\,a\,b^6\,c^8\,d^8\,e^8-1408\,a\,b^7\,c^7\,d^7\,e^9+576\,a\,b^8\,c^6\,d^6\,e^{10}-96\,a\,b^9\,c^5\,d^5\,e^{11}+3840\,a^2\,b\,c^{12}\,d^{11}\,e^5+5760\,a^3\,b\,c^{11}\,d^9\,e^7+2560\,a^4\,b\,c^{10}\,d^7\,e^9-1920\,a^5\,b\,c^9\,d^5\,e^{11}-96\,a^5\,b^5\,c^5\,d\,e^{15}-2304\,a^6\,b\,c^8\,d^3\,e^{13}+544\,a^6\,b^3\,c^6\,d\,e^{15}}\right)\,\sqrt{\frac{2\,c^5\,d^5-b^5\,e^5+b^4\,e^5\,\sqrt{b^2-4\,a\,c}-5\,a^2\,b\,c^2\,e^5-20\,a\,c^4\,d^3\,e^2+10\,a^2\,c^3\,d\,e^4+a^2\,c^2\,e^5\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^3\,d^3\,e^2-10\,b^3\,c^2\,d^2\,e^3+5\,a\,b^3\,c\,e^5-5\,b\,c^4\,d^4\,e+5\,b^4\,c\,d\,e^4+5\,c^4\,d^4\,e\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-3\,a\,b^2\,c\,e^5\,\sqrt{b^2-4\,a\,c}-5\,b^3\,c\,d\,e^4\,\sqrt{b^2-4\,a\,c}+30\,a\,b\,c^3\,d^2\,e^3-20\,a\,b^2\,c^2\,d\,e^4-10\,a\,c^3\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-10\,b\,c^3\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d\,e^4\,\sqrt{b^2-4\,a\,c}}{2\,\left(a^5\,e^{10}-5\,a^4\,b\,d\,e^9+5\,a^4\,c\,d^2\,e^8+10\,a^3\,b^2\,d^2\,e^8-20\,a^3\,b\,c\,d^3\,e^7+10\,a^3\,c^2\,d^4\,e^6-10\,a^2\,b^3\,d^3\,e^7+30\,a^2\,b^2\,c\,d^4\,e^6-30\,a^2\,b\,c^2\,d^5\,e^5+10\,a^2\,c^3\,d^6\,e^4+5\,a\,b^4\,d^4\,e^6-20\,a\,b^3\,c\,d^5\,e^5+30\,a\,b^2\,c^2\,d^6\,e^4-20\,a\,b\,c^3\,d^7\,e^3+5\,a\,c^4\,d^8\,e^2-b^5\,d^5\,e^5+5\,b^4\,c\,d^6\,e^4-10\,b^3\,c^2\,d^7\,e^3+10\,b^2\,c^3\,d^8\,e^2-5\,b\,c^4\,d^9\,e+c^5\,d^{10}\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 + 192*a^10*c^5*d*e^20 - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) + (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*1i - ((-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(192*a^10*c^5*d*e^20 - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 - (d + e*x)^(1/2)*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) - (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*1i)/(128*a^8*c^7*e^16 - ((-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(192*a^10*c^5*d*e^20 - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 - (d + e*x)^(1/2)*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) - (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2) - ((-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 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226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 + 192*a^10*c^5*d*e^20 - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) + (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2) - 128*a*c^14*d^14*e^2 + 16*a^6*b^4*c^5*e^16 - 96*a^7*b^2*c^6*e^16 - 640*a^2*c^13*d^12*e^4 - 1152*a^3*c^12*d^10*e^6 - 640*a^4*c^11*d^8*e^8 + 640*a^5*c^10*d^6*e^10 + 1152*a^6*c^9*d^4*e^12 + 640*a^7*c^8*d^2*e^14 + 32*b^2*c^13*d^14*e^2 - 224*b^3*c^12*d^13*e^3 + 688*b^4*c^11*d^12*e^4 - 1216*b^5*c^10*d^11*e^5 + 1360*b^6*c^9*d^10*e^6 - 992*b^7*c^8*d^9*e^7 + 464*b^8*c^7*d^8*e^8 - 128*b^9*c^6*d^7*e^9 + 16*b^10*c^5*d^6*e^10 - 9696*a^2*b^2*c^11*d^10*e^6 + 13280*a^2*b^3*c^10*d^9*e^7 - 10320*a^2*b^4*c^9*d^8*e^8 + 3840*a^2*b^5*c^8*d^7*e^9 + 320*a^2*b^6*c^7*d^6*e^10 - 864*a^2*b^7*c^6*d^5*e^11 + 240*a^2*b^8*c^5*d^4*e^12 - 12320*a^3*b^2*c^10*d^8*e^8 + 14720*a^3*b^3*c^9*d^7*e^9 - 10240*a^3*b^4*c^8*d^6*e^10 + 3392*a^3*b^5*c^7*d^5*e^11 + 160*a^3*b^6*c^6*d^4*e^12 - 320*a^3*b^7*c^5*d^3*e^13 - 5280*a^4*b^2*c^9*d^6*e^10 + 6880*a^4*b^3*c^8*d^5*e^11 - 4720*a^4*b^4*c^7*d^4*e^12 + 960*a^4*b^5*c^6*d^3*e^13 + 240*a^4*b^6*c^5*d^2*e^14 + 672*a^5*b^2*c^8*d^4*e^12 + 1856*a^5*b^3*c^7*d^3*e^13 - 1152*a^5*b^4*c^6*d^2*e^14 + 608*a^6*b^2*c^7*d^2*e^14 + 896*a*b*c^13*d^13*e^3 - 640*a^7*b*c^7*d*e^15 - 2592*a*b^2*c^12*d^12*e^4 + 3904*a*b^3*c^11*d^11*e^5 - 2944*a*b^4*c^10*d^10*e^6 + 288*a*b^5*c^9*d^9*e^7 + 1504*a*b^6*c^8*d^8*e^8 - 1408*a*b^7*c^7*d^7*e^9 + 576*a*b^8*c^6*d^6*e^10 - 96*a*b^9*c^5*d^5*e^11 + 3840*a^2*b*c^12*d^11*e^5 + 5760*a^3*b*c^11*d^9*e^7 + 2560*a^4*b*c^10*d^7*e^9 - 1920*a^5*b*c^9*d^5*e^11 - 96*a^5*b^5*c^5*d*e^15 - 2304*a^6*b*c^8*d^3*e^13 + 544*a^6*b^3*c^6*d*e^15))*(-(b^5*e^5 - 2*c^5*d^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) + 5*a^2*b*c^2*e^5 + 20*a*c^4*d^3*e^2 - 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^3*d^3*e^2 + 10*b^3*c^2*d^2*e^3 - 5*a*b^3*c*e^5 + 5*b*c^4*d^4*e - 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^3 + 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*2i - ((2*(b*e - 2*c*d))/(3*(a*e^2 + c*d^2 - b*d*e)) - (2*(d + e*x)*(b^2*e^2 + 2*c^2*d^2 - 2*a*c*e^2 - 2*b*c*d*e))/(a*e^2 + c*d^2 - b*d*e)^2)/(d + e*x)^(3/2) + atan(((((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 + 192*a^10*c^5*d*e^20 - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) + (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*1i - (((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(192*a^10*c^5*d*e^20 - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 - (d + e*x)^(1/2)*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) - (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*1i)/(128*a^8*c^7*e^16 - (((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(192*a^10*c^5*d*e^20 - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 - (d + e*x)^(1/2)*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) - (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2) - (((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*((d + e*x)^(1/2)*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 96*a^10*b*c^4*e^21 - 64*a*c^14*d^19*e^2 + 192*a^10*c^5*d*e^20 - 8*a^8*b^5*c^2*e^21 + 56*a^9*b^3*c^3*e^21 - 320*a^2*c^13*d^17*e^4 - 256*a^3*c^12*d^15*e^6 + 1792*a^4*c^11*d^13*e^8 + 6272*a^5*c^10*d^11*e^10 + 9856*a^6*c^9*d^9*e^12 + 8960*a^7*c^8*d^7*e^14 + 4864*a^8*c^7*d^5*e^16 + 1472*a^9*c^6*d^3*e^18 + 16*b^2*c^13*d^19*e^2 - 152*b^3*c^12*d^18*e^3 + 664*b^4*c^11*d^17*e^4 - 1768*b^5*c^10*d^16*e^5 + 3200*b^6*c^9*d^15*e^6 - 4144*b^7*c^8*d^14*e^7 + 3920*b^8*c^7*d^13*e^8 - 2704*b^9*c^6*d^12*e^9 + 1328*b^10*c^5*d^11*e^10 - 440*b^11*c^4*d^10*e^11 + 88*b^12*c^3*d^9*e^12 - 8*b^13*c^2*d^8*e^13 - 10688*a^2*b^2*c^11*d^15*e^6 + 25760*a^2*b^3*c^10*d^14*e^7 - 41888*a^2*b^4*c^9*d^13*e^8 + 46592*a^2*b^5*c^8*d^12*e^9 - 33376*a^2*b^6*c^7*d^11*e^10 + 11968*a^2*b^7*c^6*d^10*e^11 + 1760*a^2*b^8*c^5*d^9*e^12 - 3872*a^2*b^9*c^4*d^8*e^13 + 1568*a^2*b^10*c^3*d^7*e^14 - 224*a^2*b^11*c^2*d^6*e^15 - 8512*a^3*b^2*c^10*d^13*e^8 + 26208*a^3*b^3*c^9*d^12*e^9 - 52864*a^3*b^4*c^8*d^11*e^10 + 66528*a^3*b^5*c^7*d^10*e^11 - 49280*a^3*b^6*c^6*d^9*e^12 + 17952*a^3*b^7*c^5*d^8*e^13 - 128*a^3*b^8*c^4*d^7*e^14 - 2016*a^3*b^9*c^3*d^6*e^15 + 448*a^3*b^10*c^2*d^5*e^16 + 27104*a^4*b^2*c^9*d^11*e^10 - 20944*a^4*b^3*c^8*d^10*e^11 - 18480*a^4*b^4*c^7*d^9*e^12 + 48048*a^4*b^5*c^6*d^8*e^13 - 35392*a^4*b^6*c^5*d^7*e^14 + 9296*a^4*b^7*c^4*d^6*e^15 + 784*a^4*b^8*c^3*d^5*e^16 - 560*a^4*b^9*c^2*d^4*e^17 + 71456*a^5*b^2*c^8*d^9*e^12 - 62832*a^5*b^3*c^7*d^8*e^13 + 8064*a^5*b^4*c^6*d^7*e^14 + 23520*a^5*b^5*c^5*d^6*e^15 - 13664*a^5*b^6*c^4*d^5*e^16 + 1232*a^5*b^7*c^3*d^4*e^17 + 448*a^5*b^8*c^2*d^3*e^18 + 73024*a^6*b^2*c^7*d^7*e^14 - 48608*a^6*b^3*c^6*d^6*e^15 + 3808*a^6*b^4*c^5*d^5*e^16 + 8512*a^6*b^5*c^4*d^4*e^17 - 2016*a^6*b^6*c^3*d^3*e^18 - 224*a^6*b^7*c^2*d^2*e^19 + 37312*a^7*b^2*c^6*d^5*e^16 - 14880*a^7*b^3*c^5*d^4*e^17 - 1408*a^7*b^4*c^4*d^3*e^18 + 1312*a^7*b^5*c^3*d^2*e^19 + 8848*a^8*b^2*c^5*d^3*e^18 - 1112*a^8*b^3*c^4*d^2*e^19 + 608*a*b*c^13*d^18*e^3 - 2576*a*b^2*c^12*d^17*e^4 + 6392*a*b^3*c^11*d^16*e^5 - 10112*a*b^4*c^10*d^15*e^6 + 10016*a*b^5*c^9*d^14*e^7 - 4704*a*b^6*c^8*d^13*e^8 - 2288*a*b^7*c^7*d^12*e^9 + 5888*a*b^8*c^6*d^11*e^10 - 4928*a*b^9*c^5*d^10*e^11 + 2288*a*b^10*c^4*d^9*e^12 - 584*a*b^11*c^3*d^8*e^13 + 64*a*b^12*c^2*d^7*e^14 + 2720*a^2*b*c^12*d^16*e^5 + 1920*a^3*b*c^11*d^14*e^7 - 11648*a^4*b*c^10*d^12*e^9 - 34496*a^5*b*c^9*d^10*e^11 - 44352*a^6*b*c^8*d^8*e^13 - 31360*a^7*b*c^7*d^6*e^15 + 64*a^7*b^6*c^2*d*e^20 - 12160*a^8*b*c^6*d^4*e^17 - 424*a^8*b^4*c^3*d*e^20 - 2208*a^9*b*c^5*d^2*e^19 + 624*a^9*b^2*c^4*d*e^20) + (d + e*x)^(1/2)*(8*a^6*b^6*c^3*e^18 - 64*a*c^14*d^16*e^2 - 64*a^9*c^6*e^18 - 64*a^7*b^4*c^4*e^18 + 144*a^8*b^2*c^5*e^18 + 1280*a^3*c^12*d^12*e^6 + 4096*a^4*c^11*d^10*e^8 + 5760*a^5*c^10*d^8*e^10 + 4096*a^6*c^9*d^6*e^12 + 1280*a^7*c^8*d^4*e^14 + 16*b^2*c^13*d^16*e^2 - 128*b^3*c^12*d^15*e^3 + 480*b^4*c^11*d^14*e^4 - 1120*b^5*c^10*d^13*e^5 + 1800*b^6*c^9*d^12*e^6 - 2064*b^7*c^8*d^11*e^7 + 1688*b^8*c^7*d^10*e^8 - 960*b^9*c^6*d^9*e^9 + 360*b^10*c^5*d^8*e^10 - 80*b^11*c^4*d^7*e^11 + 8*b^12*c^3*d^6*e^12 - 960*a^2*b^2*c^11*d^12*e^6 + 5760*a^2*b^3*c^10*d^11*e^7 - 14304*a^2*b^4*c^9*d^10*e^8 + 18720*a^2*b^5*c^8*d^9*e^9 - 13320*a^2*b^6*c^7*d^8*e^10 + 4320*a^2*b^7*c^6*d^7*e^11 + 240*a^2*b^8*c^5*d^6*e^12 - 576*a^2*b^9*c^4*d^5*e^13 + 120*a^2*b^10*c^3*d^4*e^14 + 17024*a^3*b^2*c^10*d^10*e^8 - 14720*a^3*b^3*c^9*d^9*e^9 - 2880*a^3*b^4*c^8*d^8*e^10 + 15360*a^3*b^5*c^7*d^7*e^11 - 11360*a^3*b^6*c^6*d^6*e^12 + 2976*a^3*b^7*c^5*d^5*e^13 + 160*a^3*b^8*c^4*d^4*e^14 - 160*a^3*b^9*c^3*d^3*e^15 + 38880*a^4*b^2*c^9*d^8*e^10 - 32640*a^4*b^3*c^8*d^7*e^11 + 7200*a^4*b^4*c^7*d^6*e^12 + 6624*a^4*b^5*c^6*d^5*e^13 - 4360*a^4*b^6*c^5*d^4*e^14 + 560*a^4*b^7*c^4*d^3*e^15 + 120*a^4*b^8*c^3*d^2*e^16 + 34176*a^5*b^2*c^8*d^6*e^12 - 21888*a^5*b^3*c^7*d^5*e^13 + 3840*a^5*b^4*c^6*d^4*e^14 + 1920*a^5*b^5*c^5*d^3*e^15 - 720*a^5*b^6*c^4*d^2*e^16 + 13120*a^6*b^2*c^7*d^4*e^14 - 5760*a^6*b^3*c^6*d^3*e^15 + 480*a^6*b^4*c^5*d^2*e^16 + 1920*a^7*b^2*c^6*d^2*e^16 + 512*a*b*c^13*d^15*e^3 - 1920*a*b^2*c^12*d^14*e^4 + 4480*a*b^3*c^11*d^13*e^5 - 7040*a*b^4*c^10*d^12*e^6 + 7296*a*b^5*c^9*d^11*e^7 - 4304*a*b^6*c^8*d^10*e^8 + 400*a*b^7*c^7*d^9*e^9 + 1440*a*b^8*c^6*d^8*e^10 - 1120*a*b^9*c^5*d^7*e^11 + 368*a*b^10*c^4*d^6*e^12 - 48*a*b^11*c^3*d^5*e^13 - 7680*a^3*b*c^11*d^11*e^7 - 20480*a^4*b*c^10*d^9*e^9 - 23040*a^5*b*c^9*d^7*e^11 - 48*a^5*b^7*c^3*d*e^17 - 12288*a^6*b*c^8*d^5*e^13 + 352*a^6*b^5*c^4*d*e^17 - 2560*a^7*b*c^7*d^3*e^15 - 640*a^7*b^3*c^5*d*e^17))*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2) - 128*a*c^14*d^14*e^2 + 16*a^6*b^4*c^5*e^16 - 96*a^7*b^2*c^6*e^16 - 640*a^2*c^13*d^12*e^4 - 1152*a^3*c^12*d^10*e^6 - 640*a^4*c^11*d^8*e^8 + 640*a^5*c^10*d^6*e^10 + 1152*a^6*c^9*d^4*e^12 + 640*a^7*c^8*d^2*e^14 + 32*b^2*c^13*d^14*e^2 - 224*b^3*c^12*d^13*e^3 + 688*b^4*c^11*d^12*e^4 - 1216*b^5*c^10*d^11*e^5 + 1360*b^6*c^9*d^10*e^6 - 992*b^7*c^8*d^9*e^7 + 464*b^8*c^7*d^8*e^8 - 128*b^9*c^6*d^7*e^9 + 16*b^10*c^5*d^6*e^10 - 9696*a^2*b^2*c^11*d^10*e^6 + 13280*a^2*b^3*c^10*d^9*e^7 - 10320*a^2*b^4*c^9*d^8*e^8 + 3840*a^2*b^5*c^8*d^7*e^9 + 320*a^2*b^6*c^7*d^6*e^10 - 864*a^2*b^7*c^6*d^5*e^11 + 240*a^2*b^8*c^5*d^4*e^12 - 12320*a^3*b^2*c^10*d^8*e^8 + 14720*a^3*b^3*c^9*d^7*e^9 - 10240*a^3*b^4*c^8*d^6*e^10 + 3392*a^3*b^5*c^7*d^5*e^11 + 160*a^3*b^6*c^6*d^4*e^12 - 320*a^3*b^7*c^5*d^3*e^13 - 5280*a^4*b^2*c^9*d^6*e^10 + 6880*a^4*b^3*c^8*d^5*e^11 - 4720*a^4*b^4*c^7*d^4*e^12 + 960*a^4*b^5*c^6*d^3*e^13 + 240*a^4*b^6*c^5*d^2*e^14 + 672*a^5*b^2*c^8*d^4*e^12 + 1856*a^5*b^3*c^7*d^3*e^13 - 1152*a^5*b^4*c^6*d^2*e^14 + 608*a^6*b^2*c^7*d^2*e^14 + 896*a*b*c^13*d^13*e^3 - 640*a^7*b*c^7*d*e^15 - 2592*a*b^2*c^12*d^12*e^4 + 3904*a*b^3*c^11*d^11*e^5 - 2944*a*b^4*c^10*d^10*e^6 + 288*a*b^5*c^9*d^9*e^7 + 1504*a*b^6*c^8*d^8*e^8 - 1408*a*b^7*c^7*d^7*e^9 + 576*a*b^8*c^6*d^6*e^10 - 96*a*b^9*c^5*d^5*e^11 + 3840*a^2*b*c^12*d^11*e^5 + 5760*a^3*b*c^11*d^9*e^7 + 2560*a^4*b*c^10*d^7*e^9 - 1920*a^5*b*c^9*d^5*e^11 - 96*a^5*b^5*c^5*d*e^15 - 2304*a^6*b*c^8*d^3*e^13 + 544*a^6*b^3*c^6*d*e^15))*((2*c^5*d^5 - b^5*e^5 + b^4*e^5*(b^2 - 4*a*c)^(1/2) - 5*a^2*b*c^2*e^5 - 20*a*c^4*d^3*e^2 + 10*a^2*c^3*d*e^4 + a^2*c^2*e^5*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^3*d^3*e^2 - 10*b^3*c^2*d^2*e^3 + 5*a*b^3*c*e^5 - 5*b*c^4*d^4*e + 5*b^4*c*d*e^4 + 5*c^4*d^4*e*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^5*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^4*(b^2 - 4*a*c)^(1/2) + 30*a*b*c^3*d^2*e^3 - 20*a*b^2*c^2*d*e^4 - 10*a*c^3*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e^2*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d*e^4*(b^2 - 4*a*c)^(1/2))/(2*(a^5*e^10 + c^5*d^10 - b^5*d^5*e^5 + 5*a*b^4*d^4*e^6 + 5*a*c^4*d^8*e^2 + 5*a^4*c*d^2*e^8 + 5*b^4*c*d^6*e^4 - 10*a^2*b^3*d^3*e^7 + 10*a^3*b^2*d^2*e^8 + 10*a^2*c^3*d^6*e^4 + 10*a^3*c^2*d^4*e^6 + 10*b^2*c^3*d^8*e^2 - 10*b^3*c^2*d^7*e^3 - 5*a^4*b*d*e^9 - 5*b*c^4*d^9*e - 20*a*b*c^3*d^7*e^3 - 20*a*b^3*c*d^5*e^5 - 20*a^3*b*c*d^3*e^7 + 30*a*b^2*c^2*d^6*e^4 - 30*a^2*b*c^2*d^5*e^5 + 30*a^2*b^2*c*d^4*e^6)))^(1/2)*2i","B"
1618,1,8776,350,1.441998,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^2,x)","\frac{\left(b\,e^3-2\,c\,d\,e^2\right)\,{\left(d+e\,x\right)}^{3/2}+\sqrt{d+e\,x}\,\left(c\,d^2\,e^2-b\,d\,e^3+a\,e^4\right)}{c^2\,{\left(d+e\,x\right)}^2-\left(2\,c^2\,d-b\,c\,e\right)\,\left(d+e\,x\right)+c^2\,d^2+a\,c\,e^2-b\,c\,d\,e}+\frac{4\,e^2\,\sqrt{d+e\,x}}{c}-\mathrm{atan}\left(\frac{\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{10\,\left(-25\,a^2\,b\,e^{11}+50\,a^2\,c\,d\,e^{10}+50\,a\,b^2\,d\,e^{10}-150\,a\,b\,c\,d^2\,e^9+100\,a\,c^2\,d^3\,e^8-25\,b^3\,d^2\,e^9+100\,b^2\,c\,d^3\,e^8-125\,b\,c^2\,d^4\,e^7+50\,c^3\,d^5\,e^6\right)}{c}}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{5\,\left(16\,a^2\,c^3\,e^6-4\,a\,b^2\,c^2\,e^6-16\,a\,b\,c^3\,d\,e^5+16\,a\,c^4\,d^2\,e^4+4\,b^3\,c^2\,d\,e^5-4\,b^2\,c^3\,d^2\,e^4\right)}{c}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,\left(4\,b^3\,c^3\,e^3-8\,d\,b^2\,c^4\,e^2-16\,a\,b\,c^4\,e^3+32\,a\,d\,c^5\,e^2\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(50\,a^2\,c^2\,e^8-100\,a\,b^2\,c\,e^8+300\,a\,b\,c^2\,d\,e^7-300\,a\,c^3\,d^2\,e^6+25\,b^4\,e^8-100\,b^3\,c\,d\,e^7+150\,b^2\,c^2\,d^2\,e^6-100\,b\,c^3\,d^3\,e^5+50\,c^4\,d^4\,e^4\right)}{c}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{10\,\left(-25\,a^2\,b\,e^{11}+50\,a^2\,c\,d\,e^{10}+50\,a\,b^2\,d\,e^{10}-150\,a\,b\,c\,d^2\,e^9+100\,a\,c^2\,d^3\,e^8-25\,b^3\,d^2\,e^9+100\,b^2\,c\,d^3\,e^8-125\,b\,c^2\,d^4\,e^7+50\,c^3\,d^5\,e^6\right)}{c}}\right)\,\sqrt{-\frac{25\,\left(b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4\right)}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"((b*e^3 - 2*c*d*e^2)*(d + e*x)^(3/2) + (d + e*x)^(1/2)*(a*e^4 + c*d^2*e^2 - b*d*e^3))/(c^2*(d + e*x)^2 - (2*c^2*d - b*c*e)*(d + e*x) + c^2*d^2 + a*c*e^2 - b*c*d*e) - atan(((((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c - (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c + (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c - (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c + (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (10*(50*c^3*d^5*e^6 - 25*b^3*d^2*e^9 - 25*a^2*b*e^11 + 100*a*c^2*d^3*e^8 - 125*b*c^2*d^4*e^7 + 100*b^2*c*d^3*e^8 + 50*a*b^2*d*e^10 + 50*a^2*c*d*e^10 - 150*a*b*c*d^2*e^9))/c))*(-(25*(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i - atan(((((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c - (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c + (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c - (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((5*(16*a^2*c^3*e^6 - 4*a*b^2*c^2*e^6 + 16*a*c^4*d^2*e^4 + 4*b^3*c^2*d*e^5 - 4*b^2*c^3*d^2*e^4 - 16*a*b*c^3*d*e^5))/c + (2*(d + e*x)^(1/2)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*(4*b^3*c^3*e^3 - 8*b^2*c^4*d*e^2 - 16*a*b*c^4*e^3 + 32*a*c^5*d*e^2))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*(d + e*x)^(1/2)*(25*b^4*e^8 + 50*a^2*c^2*e^8 + 50*c^4*d^4*e^4 - 300*a*c^3*d^2*e^6 - 100*b*c^3*d^3*e^5 + 150*b^2*c^2*d^2*e^6 - 100*a*b^2*c*e^8 - 100*b^3*c*d*e^7 + 300*a*b*c^2*d*e^7))/c)*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (10*(50*c^3*d^5*e^6 - 25*b^3*d^2*e^9 - 25*a^2*b*e^11 + 100*a*c^2*d^3*e^8 - 125*b*c^2*d^4*e^7 + 100*b^2*c*d^3*e^8 + 50*a*b^2*d*e^10 + 50*a^2*c*d*e^10 - 150*a*b*c*d^2*e^9))/c))*(-(25*(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i + (4*e^2*(d + e*x)^(1/2))/c","B"
1619,1,841,224,0.468491,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^2,x)","-2\,\mathrm{atanh}\left(\frac{2\,\left(\sqrt{d+e\,x}\,\left(-18\,b^2\,c\,e^6+36\,b\,c^2\,d\,e^5-36\,c^3\,d^2\,e^4+36\,a\,c^2\,e^6\right)+\frac{9\,\sqrt{d+e\,x}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\,\left(b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{9\,\left(b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}}{54\,c^2\,d^2\,e^6-54\,b\,c\,d\,e^7+54\,a\,c\,e^8}\right)\,\sqrt{-\frac{9\,\left(b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}-2\,\mathrm{atanh}\left(\frac{2\,\left(\sqrt{d+e\,x}\,\left(-18\,b^2\,c\,e^6+36\,b\,c^2\,d\,e^5-36\,c^3\,d^2\,e^4+36\,a\,c^2\,e^6\right)-\frac{9\,\sqrt{d+e\,x}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\,\left(e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{9\,\left(e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}}{54\,c^2\,d^2\,e^6-54\,b\,c\,d\,e^7+54\,a\,c\,e^8}\right)\,\sqrt{\frac{9\,\left(e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}-\frac{e^2\,{\left(d+e\,x\right)}^{3/2}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+a\,e^2+c\,d^2-b\,d\,e}","Not used",1,"- 2*atanh((2*((d + e*x)^(1/2)*(36*a*c^2*e^6 - 18*b^2*c*e^6 - 36*c^3*d^2*e^4 + 36*b*c^2*d*e^5) + (9*(d + e*x)^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2)*(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(9*(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2))/(54*c^2*d^2*e^6 + 54*a*c*e^8 - 54*b*c*d*e^7))*(-(9*(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2) - 2*atanh((2*((d + e*x)^(1/2)*(36*a*c^2*e^6 - 18*b^2*c*e^6 - 36*c^3*d^2*e^4 + 36*b*c^2*d*e^5) - (9*(d + e*x)^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2)*(e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((9*(e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2))/(54*c^2*d^2*e^6 + 54*a*c*e^8 - 54*b*c*d*e^7))*((9*(e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2) - (e^2*(d + e*x)^(3/2))/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + a*e^2 + c*d^2 - b*d*e)","B"
1620,1,4814,223,2.925569,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^2,x)","-\frac{e^2\,\sqrt{d+e\,x}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+a\,e^2+c\,d^2-b\,d\,e}+\mathrm{atan}\left(\frac{\left(\left(4\,b^2\,c^2\,e^4-16\,a\,c^3\,e^4+\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,1{}\mathrm{i}+\left(\left(16\,a\,c^3\,e^4-4\,b^2\,c^2\,e^4+\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(4\,b^2\,c^2\,e^4-16\,a\,c^3\,e^4+\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}-\left(\left(16\,a\,c^3\,e^4-4\,b^2\,c^2\,e^4+\sqrt{d+e\,x}\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}}\right)\,\sqrt{-\frac{b^3\,e^3+e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\,e^3+8\,a\,c^2\,d\,e^2-2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(4\,b^2\,c^2\,e^4-16\,a\,c^3\,e^4+\sqrt{d+e\,x}\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,1{}\mathrm{i}+\left(\left(16\,a\,c^3\,e^4-4\,b^2\,c^2\,e^4+\sqrt{d+e\,x}\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(4\,b^2\,c^2\,e^4-16\,a\,c^3\,e^4+\sqrt{d+e\,x}\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}-\left(\left(16\,a\,c^3\,e^4-4\,b^2\,c^2\,e^4+\sqrt{d+e\,x}\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,\left(8\,b^3\,c^2\,e^3-16\,d\,b^2\,c^3\,e^2-32\,a\,b\,c^3\,e^3+64\,a\,d\,c^4\,e^2\right)\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}+4\,c^3\,e^4\,\sqrt{d+e\,x}\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}}\right)\,\sqrt{\frac{e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3\,e^3+4\,a\,b\,c\,e^3-8\,a\,c^2\,d\,e^2+2\,b^2\,c\,d\,e^2}{8\,\left(16\,a^3\,c^2\,e^2-8\,a^2\,b^2\,c\,e^2-16\,a^2\,b\,c^2\,d\,e+16\,a^2\,c^3\,d^2+a\,b^4\,e^2+8\,a\,b^3\,c\,d\,e-8\,a\,b^2\,c^2\,d^2-b^5\,d\,e+b^4\,c\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((4*b^2*c^2*e^4 - 16*a*c^3*e^4 + (d + e*x)^(1/2)*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*1i + ((16*a*c^3*e^4 - 4*b^2*c^2*e^4 + (d + e*x)^(1/2)*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*1i)/(((4*b^2*c^2*e^4 - 16*a*c^3*e^4 + (d + e*x)^(1/2)*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) - ((16*a*c^3*e^4 - 4*b^2*c^2*e^4 + (d + e*x)^(1/2)*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)))*(-(b^3*e^3 + e^3*(-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c*e^3 + 8*a*c^2*d*e^2 - 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*2i + atan((((4*b^2*c^2*e^4 - 16*a*c^3*e^4 + (d + e*x)^(1/2)*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*1i + ((16*a*c^3*e^4 - 4*b^2*c^2*e^4 + (d + e*x)^(1/2)*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*1i)/(((4*b^2*c^2*e^4 - 16*a*c^3*e^4 + (d + e*x)^(1/2)*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) - ((16*a*c^3*e^4 - 4*b^2*c^2*e^4 + (d + e*x)^(1/2)*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*(8*b^3*c^2*e^3 - 16*b^2*c^3*d*e^2 - 32*a*b*c^3*e^3 + 64*a*c^4*d*e^2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2) + 4*c^3*e^4*(d + e*x)^(1/2))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)))*((e^3*(-(4*a*c - b^2)^3)^(1/2) - b^3*e^3 + 4*a*b*c*e^3 - 8*a*c^2*d*e^2 + 2*b^2*c*d*e^2)/(8*(a*b^4*e^2 + b^4*c*d^2 + 16*a^2*c^3*d^2 + 16*a^3*c^2*e^2 - b^5*d*e - 8*a*b^2*c^2*d^2 - 8*a^2*b^2*c*e^2 - 16*a^2*b*c^2*d*e + 8*a*b^3*c*d*e)))^(1/2)*2i - (e^2*(d + e*x)^(1/2))/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + a*e^2 + c*d^2 - b*d*e)","B"
1621,1,18615,364,5.324594,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^2),x)","\frac{\frac{c\,e^2\,{\left(d+e\,x\right)}^{3/2}}{c\,d^2-b\,d\,e+a\,e^2}+\frac{e^2\,\left(b\,e-2\,c\,d\right)\,\sqrt{d+e\,x}}{c\,d^2-b\,d\,e+a\,e^2}}{\left(b\,e-2\,c\,d\right)\,\left(d+e\,x\right)+c\,{\left(d+e\,x\right)}^2+a\,e^2+c\,d^2-b\,d\,e}-\mathrm{atan}\left(\frac{\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,c^4\,e^6}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}}\right)\,\sqrt{-\frac{b^5\,e^5+b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3+3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5-a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4-3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}+\left(\left(\frac{-16\,a^2\,b\,c^3\,e^7+32\,a^2\,c^4\,d\,e^6+4\,a\,b^3\,c^2\,e^7+8\,a\,b^2\,c^3\,d\,e^6-48\,a\,b\,c^4\,d^2\,e^5+32\,a\,c^5\,d^3\,e^4-4\,b^4\,c^2\,d\,e^6+12\,b^3\,c^3\,d^2\,e^5-8\,b^2\,c^4\,d^3\,e^4}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{2\,\sqrt{d+e\,x}\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,\left(-16\,a^3\,b\,c^3\,e^7+32\,a^3\,c^4\,d\,e^6+4\,a^2\,b^3\,c^2\,e^7+24\,a^2\,b^2\,c^3\,d\,e^6-96\,a^2\,b\,c^4\,d^2\,e^5+64\,a^2\,c^5\,d^3\,e^4-8\,a\,b^4\,c^2\,d\,e^6+8\,a\,b^3\,c^3\,d^2\,e^5+48\,a\,b^2\,c^4\,d^3\,e^4-80\,a\,b\,c^5\,d^4\,e^3+32\,a\,c^6\,d^5\,e^2+4\,b^5\,c^2\,d^2\,e^5-16\,b^4\,c^3\,d^3\,e^4+20\,b^3\,c^4\,d^4\,e^3-8\,b^2\,c^5\,d^5\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,\sqrt{d+e\,x}\,\left(-b^2\,c^3\,e^6+2\,b\,c^4\,d\,e^5-2\,c^5\,d^2\,e^4+2\,a\,c^4\,e^6\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}-\frac{2\,c^4\,e^6}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}}\right)\,\sqrt{-\frac{b^5\,e^5-b^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2\,e^5+8\,a\,c^4\,d^3\,e^2-24\,a^2\,c^3\,d\,e^4-2\,b^2\,c^3\,d^3\,e^2+3\,b^3\,c^2\,d^2\,e^3-3\,c^2\,d^2\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-7\,a\,b^3\,c\,e^5+a\,c\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,b^4\,c\,d\,e^4+3\,b\,c\,d\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-12\,a\,b\,c^3\,d^2\,e^3+18\,a\,b^2\,c^2\,d\,e^4}{8\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}\,2{}\mathrm{i}","Not used",1,"((c*e^2*(d + e*x)^(3/2))/(a*e^2 + c*d^2 - b*d*e) + (e^2*(b*e - 2*c*d)*(d + e*x)^(1/2))/(a*e^2 + c*d^2 - b*d*e))/((b*e - 2*c*d)*(d + e*x) + c*(d + e*x)^2 + a*e^2 + c*d^2 - b*d*e) - atan(((((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (2*(d + e*x)^(1/2)*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*1i - (((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (2*(d + e*x)^(1/2)*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*1i)/((((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (2*(d + e*x)^(1/2)*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (2*(d + e*x)^(1/2)*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*c^4*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)))*(-(b^5*e^5 - b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 - 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 + a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 + 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*2i - atan(((((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (2*(d + e*x)^(1/2)*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*1i - (((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (2*(d + e*x)^(1/2)*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*1i)/((((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (2*(d + e*x)^(1/2)*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) + (((4*a*b^3*c^2*e^7 - 16*a^2*b*c^3*e^7 + 32*a*c^5*d^3*e^4 + 32*a^2*c^4*d*e^6 - 4*b^4*c^2*d*e^6 - 8*b^2*c^4*d^3*e^4 + 12*b^3*c^3*d^2*e^5 - 48*a*b*c^4*d^2*e^5 + 8*a*b^2*c^3*d*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (2*(d + e*x)^(1/2)*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*(32*a*c^6*d^5*e^2 - 16*a^3*b*c^3*e^7 + 32*a^3*c^4*d*e^6 + 4*a^2*b^3*c^2*e^7 + 64*a^2*c^5*d^3*e^4 - 8*b^2*c^5*d^5*e^2 + 20*b^3*c^4*d^4*e^3 - 16*b^4*c^3*d^3*e^4 + 4*b^5*c^2*d^2*e^5 - 80*a*b*c^5*d^4*e^3 - 8*a*b^4*c^2*d*e^6 + 48*a*b^2*c^4*d^3*e^4 + 8*a*b^3*c^3*d^2*e^5 - 96*a^2*b*c^4*d^2*e^5 + 24*a^2*b^2*c^3*d*e^6))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*(d + e*x)^(1/2)*(2*a*c^4*e^6 - b^2*c^3*e^6 - 2*c^5*d^2*e^4 + 2*b*c^4*d*e^5))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2) - (2*c^4*e^6)/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)))*(-(b^5*e^5 + b^2*e^5*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2*e^5 + 8*a*c^4*d^3*e^2 - 24*a^2*c^3*d*e^4 - 2*b^2*c^3*d^3*e^2 + 3*b^3*c^2*d^2*e^3 + 3*c^2*d^2*e^3*(-(4*a*c - b^2)^3)^(1/2) - 7*a*b^3*c*e^5 - a*c*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*b^4*c*d*e^4 - 3*b*c*d*e^4*(-(4*a*c - b^2)^3)^(1/2) - 12*a*b*c^3*d^2*e^3 + 18*a*b^2*c^2*d*e^4)/(8*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))^(1/2)*2i","B"
1622,1,58573,469,10.414272,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^2),x)","-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{9\,\left(b^7\,e^7+b^4\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3\,e^7+8\,a\,c^6\,d^5\,e^2+40\,a^3\,c^4\,d\,e^6+25\,a^2\,b^3\,c^2\,e^7+a^2\,c^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-80\,a^2\,c^5\,d^3\,e^4-2\,b^2\,c^5\,d^5\,e^2+5\,b^3\,c^4\,d^4\,e^3-10\,b^4\,c^3\,d^3\,e^4+10\,b^5\,c^2\,d^2\,e^5+5\,c^4\,d^4\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c\,e^7-5\,b^6\,c\,d\,e^6+10\,b^2\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b^2\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a\,b\,c^5\,d^4\,e^3+40\,a\,b^4\,c^2\,d\,e^6-5\,b^3\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+60\,a\,b^2\,c^4\,d^3\,e^4-70\,a\,b^3\,c^3\,d^2\,e^5+120\,a^2\,b\,c^4\,d^2\,e^5-90\,a^2\,b^2\,c^3\,d\,e^6-10\,a\,c^3\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,b\,c^3\,d^3\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b\,c^2\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{8\,\left(16\,a^7\,c^2\,e^{10}-8\,a^6\,b^2\,c\,e^{10}-80\,a^6\,b\,c^2\,d\,e^9+80\,a^6\,c^3\,d^2\,e^8+a^5\,b^4\,e^{10}+40\,a^5\,b^3\,c\,d\,e^9+120\,a^5\,b^2\,c^2\,d^2\,e^8-320\,a^5\,b\,c^3\,d^3\,e^7+160\,a^5\,c^4\,d^4\,e^6-5\,a^4\,b^5\,d\,e^9-75\,a^4\,b^4\,c\,d^2\,e^8+400\,a^4\,b^2\,c^3\,d^4\,e^6-480\,a^4\,b\,c^4\,d^5\,e^5+160\,a^4\,c^5\,d^6\,e^4+10\,a^3\,b^6\,d^2\,e^8+60\,a^3\,b^5\,c\,d^3\,e^7-150\,a^3\,b^4\,c^2\,d^4\,e^6-80\,a^3\,b^3\,c^3\,d^5\,e^5+400\,a^3\,b^2\,c^4\,d^6\,e^4-320\,a^3\,b\,c^5\,d^7\,e^3+80\,a^3\,c^6\,d^8\,e^2-10\,a^2\,b^7\,d^3\,e^7-10\,a^2\,b^6\,c\,d^4\,e^6+114\,a^2\,b^5\,c^2\,d^5\,e^5-150\,a^2\,b^4\,c^3\,d^6\,e^4+120\,a^2\,b^2\,c^5\,d^8\,e^2-80\,a^2\,b\,c^6\,d^9\,e+16\,a^2\,c^7\,d^{10}+5\,a\,b^8\,d^4\,e^6-12\,a\,b^7\,c\,d^5\,e^5-10\,a\,b^6\,c^2\,d^6\,e^4+60\,a\,b^5\,c^3\,d^7\,e^3-75\,a\,b^4\,c^4\,d^8\,e^2+40\,a\,b^3\,c^5\,d^9\,e-8\,a\,b^2\,c^6\,d^{10}-b^9\,d^5\,e^5+5\,b^8\,c\,d^6\,e^4-10\,b^7\,c^2\,d^7\,e^3+10\,b^6\,c^3\,d^8\,e^2-5\,b^5\,c^4\,d^9\,e+b^4\,c^5\,d^{10}\right)}}\,\left(\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(b^7\,e^7+b^4\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3\,e^7+8\,a\,c^6\,d^5\,e^2+40\,a^3\,c^4\,d\,e^6+25\,a^2\,b^3\,c^2\,e^7+a^2\,c^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-80\,a^2\,c^5\,d^3\,e^4-2\,b^2\,c^5\,d^5\,e^2+5\,b^3\,c^4\,d^4\,e^3-10\,b^4\,c^3\,d^3\,e^4+10\,b^5\,c^2\,d^2\,e^5+5\,c^4\,d^4\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c\,e^7-5\,b^6\,c\,d\,e^6+10\,b^2\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b^2\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a\,b\,c^5\,d^4\,e^3+40\,a\,b^4\,c^2\,d\,e^6-5\,b^3\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+60\,a\,b^2\,c^4\,d^3\,e^4-70\,a\,b^3\,c^3\,d^2\,e^5+120\,a^2\,b\,c^4\,d^2\,e^5-90\,a^2\,b^2\,c^3\,d\,e^6-10\,a\,c^3\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,b\,c^3\,d^3\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b\,c^2\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{8\,\left(16\,a^7\,c^2\,e^{10}-8\,a^6\,b^2\,c\,e^{10}-80\,a^6\,b\,c^2\,d\,e^9+80\,a^6\,c^3\,d^2\,e^8+a^5\,b^4\,e^{10}+40\,a^5\,b^3\,c\,d\,e^9+120\,a^5\,b^2\,c^2\,d^2\,e^8-320\,a^5\,b\,c^3\,d^3\,e^7+160\,a^5\,c^4\,d^4\,e^6-5\,a^4\,b^5\,d\,e^9-75\,a^4\,b^4\,c\,d^2\,e^8+400\,a^4\,b^2\,c^3\,d^4\,e^6-480\,a^4\,b\,c^4\,d^5\,e^5+160\,a^4\,c^5\,d^6\,e^4+10\,a^3\,b^6\,d^2\,e^8+60\,a^3\,b^5\,c\,d^3\,e^7-150\,a^3\,b^4\,c^2\,d^4\,e^6-80\,a^3\,b^3\,c^3\,d^5\,e^5+400\,a^3\,b^2\,c^4\,d^6\,e^4-320\,a^3\,b\,c^5\,d^7\,e^3+80\,a^3\,c^6\,d^8\,e^2-10\,a^2\,b^7\,d^3\,e^7-10\,a^2\,b^6\,c\,d^4\,e^6+114\,a^2\,b^5\,c^2\,d^5\,e^5-150\,a^2\,b^4\,c^3\,d^6\,e^4+120\,a^2\,b^2\,c^5\,d^8\,e^2-80\,a^2\,b\,c^6\,d^9\,e+16\,a^2\,c^7\,d^{10}+5\,a\,b^8\,d^4\,e^6-12\,a\,b^7\,c\,d^5\,e^5-10\,a\,b^6\,c^2\,d^6\,e^4+60\,a\,b^5\,c^3\,d^7\,e^3-75\,a\,b^4\,c^4\,d^8\,e^2+40\,a\,b^3\,c^5\,d^9\,e-8\,a\,b^2\,c^6\,d^{10}-b^9\,d^5\,e^5+5\,b^8\,c\,d^6\,e^4-10\,b^7\,c^2\,d^7\,e^3+10\,b^6\,c^3\,d^8\,e^2-5\,b^5\,c^4\,d^9\,e+b^4\,c^5\,d^{10}\right)}}\,\left(-32\,a^{11}\,b\,c^3\,e^{23}+64\,a^{11}\,c^4\,d\,e^{22}+8\,a^{10}\,b^3\,c^2\,e^{23}+304\,a^{10}\,b^2\,c^3\,d\,e^{22}-960\,a^{10}\,b\,c^4\,d^2\,e^{21}+640\,a^{10}\,c^5\,d^3\,e^{20}-80\,a^9\,b^4\,c^2\,d\,e^{22}-1200\,a^9\,b^3\,c^3\,d^2\,e^{21}+5600\,a^9\,b^2\,c^4\,d^3\,e^{20}-7200\,a^9\,b\,c^5\,d^4\,e^{19}+2880\,a^9\,c^6\,d^5\,e^{18}+360\,a^8\,b^5\,c^2\,d^2\,e^{21}+2400\,a^8\,b^4\,c^3\,d^3\,e^{20}-17400\,a^8\,b^3\,c^4\,d^4\,e^{19}+33840\,a^8\,b^2\,c^5\,d^5\,e^{18}-26880\,a^8\,b\,c^6\,d^6\,e^{17}+7680\,a^8\,c^7\,d^7\,e^{16}-960\,a^7\,b^6\,c^2\,d^3\,e^{20}-1920\,a^7\,b^5\,c^3\,d^4\,e^{19}+31680\,a^7\,b^4\,c^4\,d^5\,e^{18}-87360\,a^7\,b^3\,c^5\,d^6\,e^{17}+105600\,a^7\,b^2\,c^6\,d^7\,e^{16}-60480\,a^7\,b\,c^7\,d^8\,e^{15}+13440\,a^7\,c^8\,d^9\,e^{14}+1680\,a^6\,b^7\,c^2\,d^4\,e^{19}-2016\,a^6\,b^6\,c^3\,d^5\,e^{18}-32928\,a^6\,b^5\,c^4\,d^6\,e^{17}+134400\,a^6\,b^4\,c^5\,d^7\,e^{16}-226800\,a^6\,b^3\,c^6\,d^8\,e^{15}+198240\,a^6\,b^2\,c^7\,d^9\,e^{14}-88704\,a^6\,b\,c^8\,d^{10}\,e^{13}+16128\,a^6\,c^9\,d^{11}\,e^{12}-2016\,a^5\,b^8\,c^2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^4\,c^9\,d^{12}\,e^8+2520\,b^3\,c^{10}\,d^{13}\,e^7-1080\,b^2\,c^{11}\,d^{14}\,e^6+288\,b\,c^{12}\,d^{15}\,e^5-36\,c^{13}\,d^{16}\,e^4\right)\right)\,\sqrt{\frac{9\,\left(b^4\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7\,e^7+20\,a^3\,b\,c^3\,e^7-8\,a\,c^6\,d^5\,e^2-40\,a^3\,c^4\,d\,e^6-25\,a^2\,b^3\,c^2\,e^7+a^2\,c^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+80\,a^2\,c^5\,d^3\,e^4+2\,b^2\,c^5\,d^5\,e^2-5\,b^3\,c^4\,d^4\,e^3+10\,b^4\,c^3\,d^3\,e^4-10\,b^5\,c^2\,d^2\,e^5+5\,c^4\,d^4\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c\,e^7+5\,b^6\,c\,d\,e^6+10\,b^2\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b^2\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,a\,b\,c^5\,d^4\,e^3-40\,a\,b^4\,c^2\,d\,e^6-5\,b^3\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-60\,a\,b^2\,c^4\,d^3\,e^4+70\,a\,b^3\,c^3\,d^2\,e^5-120\,a^2\,b\,c^4\,d^2\,e^5+90\,a^2\,b^2\,c^3\,d\,e^6-10\,a\,c^3\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,b\,c^3\,d^3\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b\,c^2\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{8\,\left(16\,a^7\,c^2\,e^{10}-8\,a^6\,b^2\,c\,e^{10}-80\,a^6\,b\,c^2\,d\,e^9+80\,a^6\,c^3\,d^2\,e^8+a^5\,b^4\,e^{10}+40\,a^5\,b^3\,c\,d\,e^9+120\,a^5\,b^2\,c^2\,d^2\,e^8-320\,a^5\,b\,c^3\,d^3\,e^7+160\,a^5\,c^4\,d^4\,e^6-5\,a^4\,b^5\,d\,e^9-75\,a^4\,b^4\,c\,d^2\,e^8+400\,a^4\,b^2\,c^3\,d^4\,e^6-480\,a^4\,b\,c^4\,d^5\,e^5+160\,a^4\,c^5\,d^6\,e^4+10\,a^3\,b^6\,d^2\,e^8+60\,a^3\,b^5\,c\,d^3\,e^7-150\,a^3\,b^4\,c^2\,d^4\,e^6-80\,a^3\,b^3\,c^3\,d^5\,e^5+400\,a^3\,b^2\,c^4\,d^6\,e^4-320\,a^3\,b\,c^5\,d^7\,e^3+80\,a^3\,c^6\,d^8\,e^2-10\,a^2\,b^7\,d^3\,e^7-10\,a^2\,b^6\,c\,d^4\,e^6+114\,a^2\,b^5\,c^2\,d^5\,e^5-150\,a^2\,b^4\,c^3\,d^6\,e^4+120\,a^2\,b^2\,c^5\,d^8\,e^2-80\,a^2\,b\,c^6\,d^9\,e+16\,a^2\,c^7\,d^{10}+5\,a\,b^8\,d^4\,e^6-12\,a\,b^7\,c\,d^5\,e^5-10\,a\,b^6\,c^2\,d^6\,e^4+60\,a\,b^5\,c^3\,d^7\,e^3-75\,a\,b^4\,c^4\,d^8\,e^2+40\,a\,b^3\,c^5\,d^9\,e-8\,a\,b^2\,c^6\,d^{10}-b^9\,d^5\,e^5+5\,b^8\,c\,d^6\,e^4-10\,b^7\,c^2\,d^7\,e^3+10\,b^6\,c^3\,d^8\,e^2-5\,b^5\,c^4\,d^9\,e+b^4\,c^5\,d^{10}\right)}}-54\,a^6\,b\,c^5\,e^{19}+648\,a\,c^{11}\,d^{11}\,e^8+108\,a^6\,c^6\,d\,e^{18}-702\,b\,c^{11}\,d^{12}\,e^7+1620\,a^2\,c^{10}\,d^9\,e^{10}+2160\,a^3\,c^9\,d^7\,e^{12}+1620\,a^4\,c^8\,d^5\,e^{14}+648\,a^5\,c^7\,d^3\,e^{16}+1944\,b^2\,c^{10}\,d^{11}\,e^8-2970\,b^3\,c^9\,d^{10}\,e^9+2700\,b^4\,c^8\,d^9\,e^{10}-1458\,b^5\,c^7\,d^8\,e^{11}+432\,b^6\,c^6\,d^7\,e^{12}-54\,b^7\,c^5\,d^6\,e^{13}+12960\,a^2\,b^2\,c^8\,d^7\,e^{12}-11340\,a^2\,b^3\,c^7\,d^6\,e^{13}+4860\,a^2\,b^4\,c^6\,d^5\,e^{14}-810\,a^2\,b^5\,c^5\,d^4\,e^{15}+9720\,a^3\,b^2\,c^7\,d^5\,e^{14}-5400\,a^3\,b^3\,c^6\,d^4\,e^{15}+1080\,a^3\,b^4\,c^5\,d^3\,e^{16}+3240\,a^4\,b^2\,c^6\,d^3\,e^{16}-810\,a^4\,b^3\,c^5\,d^2\,e^{17}-3564\,a\,b\,c^{10}\,d^{10}\,e^9+8100\,a\,b^2\,c^9\,d^9\,e^{10}-9720\,a\,b^3\,c^8\,d^8\,e^{11}+6480\,a\,b^4\,c^7\,d^7\,e^{12}-2268\,a\,b^5\,c^6\,d^6\,e^{13}+324\,a\,b^6\,c^5\,d^5\,e^{14}-7290\,a^2\,b\,c^9\,d^8\,e^{11}-7560\,a^3\,b\,c^8\,d^6\,e^{13}-4050\,a^4\,b\,c^7\,d^4\,e^{15}-972\,a^5\,b\,c^6\,d^2\,e^{17}+324\,a^5\,b^2\,c^5\,d\,e^{18}}\right)\,\sqrt{\frac{9\,\left(b^4\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7\,e^7+20\,a^3\,b\,c^3\,e^7-8\,a\,c^6\,d^5\,e^2-40\,a^3\,c^4\,d\,e^6-25\,a^2\,b^3\,c^2\,e^7+a^2\,c^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+80\,a^2\,c^5\,d^3\,e^4+2\,b^2\,c^5\,d^5\,e^2-5\,b^3\,c^4\,d^4\,e^3+10\,b^4\,c^3\,d^3\,e^4-10\,b^5\,c^2\,d^2\,e^5+5\,c^4\,d^4\,e^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c\,e^7+5\,b^6\,c\,d\,e^6+10\,b^2\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-3\,a\,b^2\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,a\,b\,c^5\,d^4\,e^3-40\,a\,b^4\,c^2\,d\,e^6-5\,b^3\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-60\,a\,b^2\,c^4\,d^3\,e^4+70\,a\,b^3\,c^3\,d^2\,e^5-120\,a^2\,b\,c^4\,d^2\,e^5+90\,a^2\,b^2\,c^3\,d\,e^6-10\,a\,c^3\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-10\,b\,c^3\,d^3\,e^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+10\,a\,b\,c^2\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{8\,\left(16\,a^7\,c^2\,e^{10}-8\,a^6\,b^2\,c\,e^{10}-80\,a^6\,b\,c^2\,d\,e^9+80\,a^6\,c^3\,d^2\,e^8+a^5\,b^4\,e^{10}+40\,a^5\,b^3\,c\,d\,e^9+120\,a^5\,b^2\,c^2\,d^2\,e^8-320\,a^5\,b\,c^3\,d^3\,e^7+160\,a^5\,c^4\,d^4\,e^6-5\,a^4\,b^5\,d\,e^9-75\,a^4\,b^4\,c\,d^2\,e^8+400\,a^4\,b^2\,c^3\,d^4\,e^6-480\,a^4\,b\,c^4\,d^5\,e^5+160\,a^4\,c^5\,d^6\,e^4+10\,a^3\,b^6\,d^2\,e^8+60\,a^3\,b^5\,c\,d^3\,e^7-150\,a^3\,b^4\,c^2\,d^4\,e^6-80\,a^3\,b^3\,c^3\,d^5\,e^5+400\,a^3\,b^2\,c^4\,d^6\,e^4-320\,a^3\,b\,c^5\,d^7\,e^3+80\,a^3\,c^6\,d^8\,e^2-10\,a^2\,b^7\,d^3\,e^7-10\,a^2\,b^6\,c\,d^4\,e^6+114\,a^2\,b^5\,c^2\,d^5\,e^5-150\,a^2\,b^4\,c^3\,d^6\,e^4+120\,a^2\,b^2\,c^5\,d^8\,e^2-80\,a^2\,b\,c^6\,d^9\,e+16\,a^2\,c^7\,d^{10}+5\,a\,b^8\,d^4\,e^6-12\,a\,b^7\,c\,d^5\,e^5-10\,a\,b^6\,c^2\,d^6\,e^4+60\,a\,b^5\,c^3\,d^7\,e^3-75\,a\,b^4\,c^4\,d^8\,e^2+40\,a\,b^3\,c^5\,d^9\,e-8\,a\,b^2\,c^6\,d^{10}-b^9\,d^5\,e^5+5\,b^8\,c\,d^6\,e^4-10\,b^7\,c^2\,d^7\,e^3+10\,b^6\,c^3\,d^8\,e^2-5\,b^5\,c^4\,d^9\,e+b^4\,c^5\,d^{10}\right)}}\,2{}\mathrm{i}-\frac{\frac{2\,\left(b\,e^3-2\,c\,d\,e^2\right)}{c\,d^2-b\,d\,e+a\,e^2}-\frac{3\,\left(2\,c^2\,d\,e^2-b\,c\,e^3\right)\,{\left(d+e\,x\right)}^2}{{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}+\frac{\left(d+e\,x\right)\,\left(3\,b^2\,e^4-11\,b\,c\,d\,e^3+11\,c^2\,d^2\,e^2-a\,c\,e^4\right)}{{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}}{c\,{\left(d+e\,x\right)}^{5/2}+\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{3/2}+\sqrt{d+e\,x}\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"- atan((((-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*((d + e*x)^(1/2)*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 48*a^10*c^4*e^22 + 144*a*c^13*d^18*e^4 - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) - (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*1i - ((-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(144*a*c^13*d^18*e^4 - 48*a^10*c^4*e^22 - (d + e*x)^(1/2)*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) + (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*1i)/(108*c^12*d^13*e^6 - ((-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(144*a*c^13*d^18*e^4 - 48*a^10*c^4*e^22 - (d + e*x)^(1/2)*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) + (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2) - ((-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*((d + e*x)^(1/2)*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 48*a^10*c^4*e^22 + 144*a*c^13*d^18*e^4 - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) - (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2) - 54*a^6*b*c^5*e^19 + 648*a*c^11*d^11*e^8 + 108*a^6*c^6*d*e^18 - 702*b*c^11*d^12*e^7 + 1620*a^2*c^10*d^9*e^10 + 2160*a^3*c^9*d^7*e^12 + 1620*a^4*c^8*d^5*e^14 + 648*a^5*c^7*d^3*e^16 + 1944*b^2*c^10*d^11*e^8 - 2970*b^3*c^9*d^10*e^9 + 2700*b^4*c^8*d^9*e^10 - 1458*b^5*c^7*d^8*e^11 + 432*b^6*c^6*d^7*e^12 - 54*b^7*c^5*d^6*e^13 + 12960*a^2*b^2*c^8*d^7*e^12 - 11340*a^2*b^3*c^7*d^6*e^13 + 4860*a^2*b^4*c^6*d^5*e^14 - 810*a^2*b^5*c^5*d^4*e^15 + 9720*a^3*b^2*c^7*d^5*e^14 - 5400*a^3*b^3*c^6*d^4*e^15 + 1080*a^3*b^4*c^5*d^3*e^16 + 3240*a^4*b^2*c^6*d^3*e^16 - 810*a^4*b^3*c^5*d^2*e^17 - 3564*a*b*c^10*d^10*e^9 + 8100*a*b^2*c^9*d^9*e^10 - 9720*a*b^3*c^8*d^8*e^11 + 6480*a*b^4*c^7*d^7*e^12 - 2268*a*b^5*c^6*d^6*e^13 + 324*a*b^6*c^5*d^5*e^14 - 7290*a^2*b*c^9*d^8*e^11 - 7560*a^3*b*c^8*d^6*e^13 - 4050*a^4*b*c^7*d^4*e^15 - 972*a^5*b*c^6*d^2*e^17 + 324*a^5*b^2*c^5*d*e^18))*(-(9*(b^7*e^7 + b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3*e^7 + 8*a*c^6*d^5*e^2 + 40*a^3*c^4*d*e^6 + 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) - 80*a^2*c^5*d^3*e^4 - 2*b^2*c^5*d^5*e^2 + 5*b^3*c^4*d^4*e^3 - 10*b^4*c^3*d^3*e^4 + 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c*e^7 - 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b*c^5*d^4*e^3 + 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) + 60*a*b^2*c^4*d^3*e^4 - 70*a*b^3*c^3*d^2*e^5 + 120*a^2*b*c^4*d^2*e^5 - 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*2i - atan(((((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*((d + e*x)^(1/2)*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 48*a^10*c^4*e^22 + 144*a*c^13*d^18*e^4 - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) - (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*1i - (((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(144*a*c^13*d^18*e^4 - 48*a^10*c^4*e^22 - (d + e*x)^(1/2)*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) + (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*1i)/(108*c^12*d^13*e^6 - (((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(144*a*c^13*d^18*e^4 - 48*a^10*c^4*e^22 - (d + e*x)^(1/2)*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) + (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2) - (((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*((d + e*x)^(1/2)*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*(64*a*c^14*d^21*e^2 - 32*a^11*b*c^3*e^23 + 64*a^11*c^4*d*e^22 + 8*a^10*b^3*c^2*e^23 + 640*a^2*c^13*d^19*e^4 + 2880*a^3*c^12*d^17*e^6 + 7680*a^4*c^11*d^15*e^8 + 13440*a^5*c^10*d^13*e^10 + 16128*a^6*c^9*d^11*e^12 + 13440*a^7*c^8*d^9*e^14 + 7680*a^8*c^7*d^7*e^16 + 2880*a^9*c^6*d^5*e^18 + 640*a^10*c^5*d^3*e^20 - 16*b^2*c^13*d^21*e^2 + 168*b^3*c^12*d^20*e^3 - 800*b^4*c^11*d^19*e^4 + 2280*b^5*c^10*d^18*e^5 - 4320*b^6*c^9*d^17*e^6 + 5712*b^7*c^8*d^16*e^7 - 5376*b^8*c^7*d^15*e^8 + 3600*b^9*c^6*d^14*e^9 - 1680*b^10*c^5*d^13*e^10 + 520*b^11*c^4*d^12*e^11 - 96*b^12*c^3*d^11*e^12 + 8*b^13*c^2*d^10*e^13 + 25200*a^2*b^2*c^11*d^17*e^6 - 59160*a^2*b^3*c^10*d^16*e^7 + 84480*a^2*b^4*c^9*d^15*e^8 - 70560*a^2*b^5*c^8*d^14*e^9 + 23520*a^2*b^6*c^7*d^13*e^10 + 15600*a^2*b^7*c^6*d^12*e^11 - 23040*a^2*b^8*c^5*d^11*e^12 + 12320*a^2*b^9*c^4*d^10*e^13 - 3280*a^2*b^10*c^3*d^9*e^14 + 360*a^2*b^11*c^2*d^8*e^15 + 90240*a^3*b^2*c^10*d^15*e^8 - 187200*a^3*b^3*c^9*d^14*e^9 + 235200*a^3*b^4*c^8*d^13*e^10 - 174720*a^3*b^5*c^7*d^12*e^11 + 60480*a^3*b^6*c^6*d^11*e^12 + 10560*a^3*b^7*c^5*d^10*e^13 - 19200*a^3*b^8*c^4*d^9*e^14 + 7200*a^3*b^9*c^3*d^8*e^15 - 960*a^3*b^10*c^2*d^7*e^16 + 184800*a^4*b^2*c^9*d^13*e^10 - 327600*a^4*b^3*c^8*d^12*e^11 + 342720*a^4*b^4*c^7*d^11*e^12 - 203280*a^4*b^5*c^6*d^10*e^13 + 50400*a^4*b^6*c^5*d^9*e^14 + 10800*a^4*b^7*c^4*d^8*e^15 - 9600*a^4*b^8*c^3*d^7*e^16 + 1680*a^4*b^9*c^2*d^6*e^17 + 237888*a^5*b^2*c^8*d^11*e^12 - 347424*a^5*b^3*c^7*d^10*e^13 + 285600*a^5*b^4*c^6*d^9*e^14 - 120960*a^5*b^5*c^5*d^8*e^15 + 13440*a^5*b^6*c^4*d^7*e^16 + 7392*a^5*b^7*c^3*d^6*e^17 - 2016*a^5*b^8*c^2*d^5*e^18 + 198240*a^6*b^2*c^7*d^9*e^14 - 226800*a^6*b^3*c^6*d^8*e^15 + 134400*a^6*b^4*c^5*d^7*e^16 - 32928*a^6*b^5*c^4*d^6*e^17 - 2016*a^6*b^6*c^3*d^5*e^18 + 1680*a^6*b^7*c^2*d^4*e^19 + 105600*a^7*b^2*c^6*d^7*e^16 - 87360*a^7*b^3*c^5*d^6*e^17 + 31680*a^7*b^4*c^4*d^5*e^18 - 1920*a^7*b^5*c^3*d^4*e^19 - 960*a^7*b^6*c^2*d^3*e^20 + 33840*a^8*b^2*c^5*d^5*e^18 - 17400*a^8*b^3*c^4*d^4*e^19 + 2400*a^8*b^4*c^3*d^3*e^20 + 360*a^8*b^5*c^2*d^2*e^21 + 5600*a^9*b^2*c^4*d^3*e^20 - 1200*a^9*b^3*c^3*d^2*e^21 - 672*a*b*c^13*d^20*e^3 + 3040*a*b^2*c^12*d^19*e^4 - 7600*a*b^3*c^11*d^18*e^5 + 10800*a*b^4*c^10*d^17*e^6 - 6528*a*b^5*c^9*d^16*e^7 - 5376*a*b^6*c^8*d^15*e^8 + 15840*a*b^7*c^7*d^14*e^9 - 16800*a*b^8*c^6*d^13*e^10 + 10400*a*b^9*c^5*d^12*e^11 - 3936*a*b^10*c^4*d^11*e^12 + 848*a*b^11*c^3*d^10*e^13 - 80*a*b^12*c^2*d^9*e^14 - 6080*a^2*b*c^12*d^18*e^5 - 24480*a^3*b*c^11*d^16*e^7 - 57600*a^4*b*c^10*d^14*e^9 - 87360*a^5*b*c^9*d^12*e^11 - 88704*a^6*b*c^8*d^10*e^13 - 60480*a^7*b*c^7*d^8*e^15 - 26880*a^8*b*c^6*d^6*e^17 - 7200*a^9*b*c^5*d^4*e^19 - 80*a^9*b^4*c^2*d*e^22 - 960*a^10*b*c^4*d^2*e^21 + 304*a^10*b^2*c^3*d*e^22) - 48*a^10*c^4*e^22 + 144*a*c^13*d^18*e^4 - 12*a^8*b^4*c^2*e^22 + 60*a^9*b^2*c^3*e^22 + 1104*a^2*c^12*d^16*e^6 + 3648*a^3*c^11*d^14*e^8 + 6720*a^4*c^10*d^12*e^10 + 7392*a^5*c^9*d^10*e^12 + 4704*a^6*c^8*d^8*e^14 + 1344*a^7*c^7*d^6*e^16 - 192*a^8*c^6*d^4*e^18 - 240*a^9*c^5*d^2*e^20 - 36*b^2*c^12*d^18*e^4 + 324*b^3*c^11*d^17*e^5 - 1308*b^4*c^10*d^16*e^6 + 3120*b^5*c^9*d^15*e^7 - 4872*b^6*c^8*d^14*e^8 + 5208*b^7*c^7*d^13*e^9 - 3864*b^8*c^6*d^12*e^10 + 1968*b^9*c^5*d^11*e^11 - 660*b^10*c^4*d^10*e^12 + 132*b^11*c^3*d^9*e^13 - 12*b^12*c^2*d^8*e^14 + 30384*a^2*b^2*c^10*d^14*e^8 - 58128*a^2*b^3*c^9*d^13*e^9 + 65856*a^2*b^4*c^8*d^12*e^10 - 41328*a^2*b^5*c^7*d^11*e^11 + 7392*a^2*b^6*c^6*d^10*e^12 + 8976*a^2*b^7*c^5*d^9*e^13 - 7632*a^2*b^8*c^4*d^8*e^14 + 2544*a^2*b^9*c^3*d^7*e^15 - 336*a^2*b^10*c^2*d^6*e^16 + 76272*a^3*b^2*c^9*d^12*e^10 - 125664*a^3*b^3*c^8*d^11*e^11 + 121968*a^3*b^4*c^7*d^10*e^12 - 66528*a^3*b^5*c^6*d^9*e^13 + 13776*a^3*b^6*c^5*d^8*e^14 + 5088*a^3*b^7*c^4*d^7*e^15 - 3696*a^3*b^8*c^3*d^6*e^16 + 672*a^3*b^9*c^2*d^5*e^17 + 101640*a^4*b^2*c^8*d^10*e^12 - 138600*a^4*b^3*c^7*d^9*e^13 + 108360*a^4*b^4*c^6*d^8*e^14 - 45360*a^4*b^5*c^5*d^7*e^15 + 5880*a^4*b^6*c^4*d^6*e^16 + 2520*a^4*b^7*c^3*d^5*e^17 - 840*a^4*b^8*c^2*d^4*e^18 + 76104*a^5*b^2*c^7*d^8*e^14 - 82656*a^5*b^3*c^6*d^7*e^15 + 49392*a^5*b^4*c^5*d^6*e^16 - 14112*a^5*b^5*c^4*d^5*e^17 + 168*a^5*b^6*c^3*d^4*e^18 + 672*a^5*b^7*c^2*d^3*e^19 + 30576*a^6*b^2*c^6*d^6*e^16 - 25872*a^6*b^3*c^5*d^5*e^17 + 11424*a^6*b^4*c^4*d^4*e^18 - 1680*a^6*b^5*c^3*d^3*e^19 - 336*a^6*b^6*c^2*d^2*e^20 + 5424*a^7*b^2*c^5*d^4*e^18 - 4128*a^7*b^3*c^4*d^3*e^19 + 1296*a^7*b^4*c^3*d^2*e^20 + 252*a^8*b^2*c^4*d^2*e^20 - 1296*a*b*c^12*d^17*e^5 + 240*a^9*b*c^4*d*e^21 + 4956*a*b^2*c^11*d^16*e^6 - 10272*a*b^3*c^10*d^15*e^7 + 11664*a*b^4*c^9*d^14*e^8 - 4704*a*b^5*c^8*d^13*e^9 - 5880*a*b^6*c^7*d^12*e^10 + 10944*a*b^7*c^6*d^11*e^11 - 8448*a*b^8*c^5*d^10*e^12 + 3696*a*b^9*c^4*d^9*e^13 - 900*a*b^10*c^3*d^8*e^14 + 96*a*b^11*c^2*d^7*e^15 - 8832*a^2*b*c^11*d^15*e^7 - 25536*a^3*b*c^10*d^13*e^9 - 40320*a^4*b*c^9*d^11*e^11 - 36960*a^5*b*c^8*d^9*e^13 - 18816*a^6*b*c^7*d^7*e^15 - 4032*a^7*b*c^6*d^5*e^17 + 96*a^7*b^5*c^2*d*e^21 + 384*a^8*b*c^5*d^3*e^19 - 444*a^8*b^3*c^3*d*e^21) - (d + e*x)^(1/2)*(288*b*c^12*d^15*e^5 - 36*c^13*d^16*e^4 - 36*a^8*c^5*e^20 - 18*a^6*b^4*c^3*e^20 + 72*a^7*b^2*c^4*e^20 + 720*a^2*c^11*d^12*e^8 + 2304*a^3*c^10*d^10*e^10 + 3240*a^4*c^9*d^8*e^12 + 2304*a^5*c^8*d^6*e^14 + 720*a^6*c^7*d^4*e^16 - 1080*b^2*c^11*d^14*e^6 + 2520*b^3*c^10*d^13*e^7 - 4050*b^4*c^9*d^12*e^8 + 4644*b^5*c^8*d^11*e^9 - 3798*b^6*c^7*d^10*e^10 + 2160*b^7*c^6*d^9*e^11 - 810*b^8*c^5*d^8*e^12 + 180*b^9*c^4*d^7*e^13 - 18*b^10*c^3*d^6*e^14 + 10152*a^2*b^2*c^9*d^10*e^10 - 11160*a^2*b^3*c^8*d^9*e^11 + 4050*a^2*b^4*c^7*d^8*e^12 + 3240*a^2*b^5*c^6*d^7*e^13 - 4140*a^2*b^6*c^5*d^6*e^14 + 1728*a^2*b^7*c^4*d^5*e^15 - 270*a^2*b^8*c^3*d^4*e^16 + 22680*a^3*b^2*c^8*d^8*e^12 - 21600*a^3*b^3*c^7*d^7*e^13 + 9000*a^3*b^4*c^6*d^6*e^14 + 216*a^3*b^5*c^5*d^5*e^15 - 1440*a^3*b^6*c^4*d^4*e^16 + 360*a^3*b^7*c^3*d^3*e^17 + 19800*a^4*b^2*c^7*d^6*e^14 - 14040*a^4*b^3*c^6*d^5*e^15 + 4050*a^4*b^4*c^5*d^4*e^16 + 180*a^4*b^5*c^4*d^3*e^17 - 270*a^4*b^6*c^3*d^2*e^18 + 7560*a^5*b^2*c^6*d^4*e^16 - 3600*a^5*b^3*c^5*d^3*e^17 + 540*a^5*b^4*c^4*d^2*e^18 + 1080*a^6*b^2*c^5*d^2*e^18 - 360*a*b^2*c^10*d^12*e^8 + 2160*a*b^3*c^9*d^11*e^9 - 5508*a*b^4*c^8*d^10*e^10 + 7740*a*b^5*c^7*d^9*e^11 - 6480*a*b^6*c^6*d^8*e^12 + 3240*a*b^7*c^5*d^7*e^13 - 900*a*b^8*c^4*d^6*e^14 + 108*a*b^9*c^3*d^5*e^15 - 4320*a^2*b*c^10*d^11*e^9 - 11520*a^3*b*c^9*d^9*e^11 - 12960*a^4*b*c^8*d^7*e^13 - 6912*a^5*b*c^7*d^5*e^15 + 108*a^5*b^5*c^3*d*e^19 - 1440*a^6*b*c^6*d^3*e^17 - 360*a^6*b^3*c^4*d*e^19))*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2) - 54*a^6*b*c^5*e^19 + 648*a*c^11*d^11*e^8 + 108*a^6*c^6*d*e^18 - 702*b*c^11*d^12*e^7 + 1620*a^2*c^10*d^9*e^10 + 2160*a^3*c^9*d^7*e^12 + 1620*a^4*c^8*d^5*e^14 + 648*a^5*c^7*d^3*e^16 + 1944*b^2*c^10*d^11*e^8 - 2970*b^3*c^9*d^10*e^9 + 2700*b^4*c^8*d^9*e^10 - 1458*b^5*c^7*d^8*e^11 + 432*b^6*c^6*d^7*e^12 - 54*b^7*c^5*d^6*e^13 + 12960*a^2*b^2*c^8*d^7*e^12 - 11340*a^2*b^3*c^7*d^6*e^13 + 4860*a^2*b^4*c^6*d^5*e^14 - 810*a^2*b^5*c^5*d^4*e^15 + 9720*a^3*b^2*c^7*d^5*e^14 - 5400*a^3*b^3*c^6*d^4*e^15 + 1080*a^3*b^4*c^5*d^3*e^16 + 3240*a^4*b^2*c^6*d^3*e^16 - 810*a^4*b^3*c^5*d^2*e^17 - 3564*a*b*c^10*d^10*e^9 + 8100*a*b^2*c^9*d^9*e^10 - 9720*a*b^3*c^8*d^8*e^11 + 6480*a*b^4*c^7*d^7*e^12 - 2268*a*b^5*c^6*d^6*e^13 + 324*a*b^6*c^5*d^5*e^14 - 7290*a^2*b*c^9*d^8*e^11 - 7560*a^3*b*c^8*d^6*e^13 - 4050*a^4*b*c^7*d^4*e^15 - 972*a^5*b*c^6*d^2*e^17 + 324*a^5*b^2*c^5*d*e^18))*((9*(b^4*e^7*(-(4*a*c - b^2)^3)^(1/2) - b^7*e^7 + 20*a^3*b*c^3*e^7 - 8*a*c^6*d^5*e^2 - 40*a^3*c^4*d*e^6 - 25*a^2*b^3*c^2*e^7 + a^2*c^2*e^7*(-(4*a*c - b^2)^3)^(1/2) + 80*a^2*c^5*d^3*e^4 + 2*b^2*c^5*d^5*e^2 - 5*b^3*c^4*d^4*e^3 + 10*b^4*c^3*d^3*e^4 - 10*b^5*c^2*d^2*e^5 + 5*c^4*d^4*e^3*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c*e^7 + 5*b^6*c*d*e^6 + 10*b^2*c^2*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 3*a*b^2*c*e^7*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b*c^5*d^4*e^3 - 40*a*b^4*c^2*d*e^6 - 5*b^3*c*d*e^6*(-(4*a*c - b^2)^3)^(1/2) - 60*a*b^2*c^4*d^3*e^4 + 70*a*b^3*c^3*d^2*e^5 - 120*a^2*b*c^4*d^2*e^5 + 90*a^2*b^2*c^3*d*e^6 - 10*a*c^3*d^2*e^5*(-(4*a*c - b^2)^3)^(1/2) - 10*b*c^3*d^3*e^4*(-(4*a*c - b^2)^3)^(1/2) + 10*a*b*c^2*d*e^6*(-(4*a*c - b^2)^3)^(1/2)))/(8*(16*a^2*c^7*d^10 + a^5*b^4*e^10 + 16*a^7*c^2*e^10 + b^4*c^5*d^10 - b^9*d^5*e^5 - 8*a*b^2*c^6*d^10 - 8*a^6*b^2*c*e^10 + 5*a*b^8*d^4*e^6 - 5*a^4*b^5*d*e^9 - 5*b^5*c^4*d^9*e + 5*b^8*c*d^6*e^4 - 10*a^2*b^7*d^3*e^7 + 10*a^3*b^6*d^2*e^8 + 80*a^3*c^6*d^8*e^2 + 160*a^4*c^5*d^6*e^4 + 160*a^5*c^4*d^4*e^6 + 80*a^6*c^3*d^2*e^8 + 10*b^6*c^3*d^8*e^2 - 10*b^7*c^2*d^7*e^3 + 120*a^2*b^2*c^5*d^8*e^2 - 150*a^2*b^4*c^3*d^6*e^4 + 114*a^2*b^5*c^2*d^5*e^5 + 400*a^3*b^2*c^4*d^6*e^4 - 80*a^3*b^3*c^3*d^5*e^5 - 150*a^3*b^4*c^2*d^4*e^6 + 400*a^4*b^2*c^3*d^4*e^6 + 120*a^5*b^2*c^2*d^2*e^8 + 40*a*b^3*c^5*d^9*e - 12*a*b^7*c*d^5*e^5 - 80*a^2*b*c^6*d^9*e + 40*a^5*b^3*c*d*e^9 - 80*a^6*b*c^2*d*e^9 - 75*a*b^4*c^4*d^8*e^2 + 60*a*b^5*c^3*d^7*e^3 - 10*a*b^6*c^2*d^6*e^4 - 10*a^2*b^6*c*d^4*e^6 - 320*a^3*b*c^5*d^7*e^3 + 60*a^3*b^5*c*d^3*e^7 - 480*a^4*b*c^4*d^5*e^5 - 75*a^4*b^4*c*d^2*e^8 - 320*a^5*b*c^3*d^3*e^7)))^(1/2)*2i - ((2*(b*e^3 - 2*c*d*e^2))/(a*e^2 + c*d^2 - b*d*e) - (3*(2*c^2*d*e^2 - b*c*e^3)*(d + e*x)^2)/(a*e^2 + c*d^2 - b*d*e)^2 + ((d + e*x)*(3*b^2*e^4 + 11*c^2*d^2*e^2 - a*c*e^4 - 11*b*c*d*e^3))/(a*e^2 + c*d^2 - b*d*e)^2)/(c*(d + e*x)^(5/2) + (b*e - 2*c*d)*(d + e*x)^(3/2) + (d + e*x)^(1/2)*(a*e^2 + c*d^2 - b*d*e))","B"
1623,1,22151,543,6.065132,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(7/2))/(a + b*x + c*x^2)^3,x)","\frac{\frac{{\left(d+e\,x\right)}^{7/2}\,\left(9\,b^2\,e^4-14\,b\,c\,d\,e^3+14\,c^2\,d^2\,e^2-22\,a\,c\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}-\frac{7\,\sqrt{d+e\,x}\,\left(-a^2\,b\,e^7+2\,a^2\,c\,d\,e^6+2\,a\,b^2\,d\,e^6-6\,a\,b\,c\,d^2\,e^5+4\,a\,c^2\,d^3\,e^4-b^3\,d^2\,e^5+4\,b^2\,c\,d^3\,e^4-5\,b\,c^2\,d^4\,e^3+2\,c^3\,d^5\,e^2\right)}{4\,c\,\left(4\,a\,c-b^2\right)}+\frac{7\,{\left(d+e\,x\right)}^{3/2}\,\left(-a^2\,c\,e^6+a\,b^2\,e^6-2\,a\,b\,c\,d\,e^5+2\,a\,c^2\,d^2\,e^4-b^3\,d\,e^5+4\,b^2\,c\,d^2\,e^4-6\,b\,c^2\,d^3\,e^3+3\,c^3\,d^4\,e^2\right)}{2\,c\,\left(4\,a\,c-b^2\right)}+\frac{7\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(b^2\,e^4-3\,b\,c\,d\,e^3+3\,c^2\,d^2\,e^2-a\,c\,e^4\right)}{4\,c\,\left(4\,a\,c-b^2\right)}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,e^4+c^2\,d^4+b^2\,d^2\,e^2-2\,a\,b\,d\,e^3-2\,b\,c\,d^3\,e+2\,a\,c\,d^2\,e^2}+\mathrm{atan}\left(\frac{\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{7\,\left(10584\,a^4\,c^2\,e^{14}-3234\,a^3\,b^2\,c\,e^{14}-29400\,a^3\,b\,c^2\,d\,e^{13}+29400\,a^3\,c^3\,d^2\,e^{12}+245\,a^2\,b^4\,e^{14}+7742\,a^2\,b^3\,c\,d\,e^{13}+20874\,a^2\,b^2\,c^2\,d^2\,e^{12}-57232\,a^2\,b\,c^3\,d^3\,e^{11}+28616\,a^2\,c^4\,d^4\,e^{10}-490\,a\,b^5\,d\,e^{13}-5292\,a\,b^4\,c\,d^2\,e^{12}+196\,a\,b^3\,c^2\,d^3\,e^{11}+28322\,a\,b^2\,c^3\,d^4\,e^{10}-34104\,a\,b\,c^4\,d^5\,e^9+11368\,a\,c^5\,d^6\,e^8+245\,b^6\,d^2\,e^{12}+784\,b^5\,c\,d^3\,e^{11}-2009\,b^4\,c^2\,d^4\,e^{10}-2450\,b^3\,c^3\,d^5\,e^9+8134\,b^2\,c^4\,d^6\,e^8-6272\,b\,c^5\,d^7\,e^7+1568\,c^6\,d^8\,e^6\right)}{32\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}}\right)\,\sqrt{\frac{49\,\left(b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\left(\left(\frac{7\,\left(4096\,a^4\,b\,c^5\,e^7-8192\,a^4\,c^6\,d\,e^6-3072\,a^3\,b^3\,c^4\,e^7+2048\,a^3\,b^2\,c^5\,d\,e^6+12288\,a^3\,b\,c^6\,d^2\,e^5-8192\,a^3\,c^7\,d^3\,e^4+768\,a^2\,b^5\,c^3\,e^7+1536\,a^2\,b^4\,c^4\,d\,e^6-9216\,a^2\,b^3\,c^5\,d^2\,e^5+6144\,a^2\,b^2\,c^6\,d^3\,e^4-64\,a\,b^7\,c^2\,e^7-640\,a\,b^6\,c^3\,d\,e^6+2304\,a\,b^5\,c^4\,d^2\,e^5-1536\,a\,b^4\,c^5\,d^3\,e^4+64\,b^8\,c^2\,d\,e^6-192\,b^7\,c^3\,d^2\,e^5+128\,b^6\,c^4\,d^3\,e^4\right)}{64\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-4096\,a^3\,b\,c^6\,e^3+8192\,d\,a^3\,c^7\,e^2+3072\,a^2\,b^3\,c^5\,e^3-6144\,d\,a^2\,b^2\,c^6\,e^2-768\,a\,b^5\,c^4\,e^3+1536\,d\,a\,b^4\,c^5\,e^2+64\,b^7\,c^3\,e^3-128\,d\,b^6\,c^4\,e^2\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{\sqrt{d+e\,x}\,\left(-3528\,a^3\,c^3\,e^{10}+3626\,a^2\,b^2\,c^2\,e^{10}-3920\,a^2\,b\,c^3\,d\,e^9+3920\,a^2\,c^4\,d^2\,e^8-784\,a\,b^4\,c\,e^{10}-980\,a\,b^3\,c^2\,d\,e^9+6860\,a\,b^2\,c^3\,d^2\,e^8-11760\,a\,b\,c^4\,d^3\,e^7+5880\,a\,c^5\,d^4\,e^6+49\,b^6\,e^{10}+196\,b^5\,c\,d\,e^9-490\,b^4\,c^2\,d^2\,e^8-980\,b^3\,c^3\,d^3\,e^7+4410\,b^2\,c^4\,d^4\,e^6-4704\,b\,c^5\,d^5\,e^5+1568\,c^6\,d^6\,e^4\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{7\,\left(10584\,a^4\,c^2\,e^{14}-3234\,a^3\,b^2\,c\,e^{14}-29400\,a^3\,b\,c^2\,d\,e^{13}+29400\,a^3\,c^3\,d^2\,e^{12}+245\,a^2\,b^4\,e^{14}+7742\,a^2\,b^3\,c\,d\,e^{13}+20874\,a^2\,b^2\,c^2\,d^2\,e^{12}-57232\,a^2\,b\,c^3\,d^3\,e^{11}+28616\,a^2\,c^4\,d^4\,e^{10}-490\,a\,b^5\,d\,e^{13}-5292\,a\,b^4\,c\,d^2\,e^{12}+196\,a\,b^3\,c^2\,d^3\,e^{11}+28322\,a\,b^2\,c^3\,d^4\,e^{10}-34104\,a\,b\,c^4\,d^5\,e^9+11368\,a\,c^5\,d^6\,e^8+245\,b^6\,d^2\,e^{12}+784\,b^5\,c\,d^3\,e^{11}-2009\,b^4\,c^2\,d^4\,e^{10}-2450\,b^3\,c^3\,d^5\,e^9+8134\,b^2\,c^4\,d^6\,e^8-6272\,b\,c^5\,d^7\,e^7+1568\,c^6\,d^8\,e^6\right)}{32\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}}\right)\,\sqrt{\frac{49\,\left(3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6\right)}{128\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"(((d + e*x)^(7/2)*(9*b^2*e^4 + 14*c^2*d^2*e^2 - 22*a*c*e^4 - 14*b*c*d*e^3))/(4*(4*a*c - b^2)) - (7*(d + e*x)^(1/2)*(2*c^3*d^5*e^2 - b^3*d^2*e^5 - a^2*b*e^7 + 4*a*c^2*d^3*e^4 - 5*b*c^2*d^4*e^3 + 4*b^2*c*d^3*e^4 + 2*a*b^2*d*e^6 + 2*a^2*c*d*e^6 - 6*a*b*c*d^2*e^5))/(4*c*(4*a*c - b^2)) + (7*(d + e*x)^(3/2)*(a*b^2*e^6 - a^2*c*e^6 - b^3*d*e^5 + 3*c^3*d^4*e^2 + 2*a*c^2*d^2*e^4 - 6*b*c^2*d^3*e^3 + 4*b^2*c*d^2*e^4 - 2*a*b*c*d*e^5))/(2*c*(4*a*c - b^2)) + (7*(b*e - 2*c*d)*(d + e*x)^(5/2)*(b^2*e^4 + 3*c^2*d^2*e^2 - a*c*e^4 - 3*b*c*d*e^3))/(4*c*(4*a*c - b^2)))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + atan(((((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - ((d + e*x)^(1/2)*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + ((d + e*x)^(1/2)*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - ((d + e*x)^(1/2)*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + ((d + e*x)^(1/2)*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (7*(245*a^2*b^4*e^14 + 10584*a^4*c^2*e^14 + 245*b^6*d^2*e^12 + 1568*c^6*d^8*e^6 - 3234*a^3*b^2*c*e^14 + 11368*a*c^5*d^6*e^8 - 6272*b*c^5*d^7*e^7 + 784*b^5*c*d^3*e^11 + 28616*a^2*c^4*d^4*e^10 + 29400*a^3*c^3*d^2*e^12 + 8134*b^2*c^4*d^6*e^8 - 2450*b^3*c^3*d^5*e^9 - 2009*b^4*c^2*d^4*e^10 - 490*a*b^5*d*e^13 + 20874*a^2*b^2*c^2*d^2*e^12 - 34104*a*b*c^4*d^5*e^9 - 5292*a*b^4*c*d^2*e^12 + 7742*a^2*b^3*c*d*e^13 - 29400*a^3*b*c^2*d*e^13 + 28322*a*b^2*c^3*d^4*e^10 + 196*a*b^3*c^2*d^3*e^11 - 57232*a^2*b*c^3*d^3*e^11))/(32*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3))))*((49*(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i + atan(((((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - ((d + e*x)^(1/2)*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + ((d + e*x)^(1/2)*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - ((d + e*x)^(1/2)*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (((7*(4096*a^4*b*c^5*e^7 - 64*a*b^7*c^2*e^7 - 8192*a^4*c^6*d*e^6 + 64*b^8*c^2*d*e^6 + 768*a^2*b^5*c^3*e^7 - 3072*a^3*b^3*c^4*e^7 - 8192*a^3*c^7*d^3*e^4 + 128*b^6*c^4*d^3*e^4 - 192*b^7*c^3*d^2*e^5 + 6144*a^2*b^2*c^6*d^3*e^4 - 9216*a^2*b^3*c^5*d^2*e^5 - 640*a*b^6*c^3*d*e^6 - 1536*a*b^4*c^5*d^3*e^4 + 2304*a*b^5*c^4*d^2*e^5 + 1536*a^2*b^4*c^4*d*e^6 + 12288*a^3*b*c^6*d^2*e^5 + 2048*a^3*b^2*c^5*d*e^6))/(64*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + ((d + e*x)^(1/2)*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(64*b^7*c^3*e^3 - 768*a*b^5*c^4*e^3 - 4096*a^3*b*c^6*e^3 + 8192*a^3*c^7*d*e^2 - 128*b^6*c^4*d*e^2 + 3072*a^2*b^3*c^5*e^3 + 1536*a*b^4*c^5*d*e^2 - 6144*a^2*b^2*c^6*d*e^2))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + ((d + e*x)^(1/2)*(49*b^6*e^10 - 3528*a^3*c^3*e^10 + 1568*c^6*d^6*e^4 + 5880*a*c^5*d^4*e^6 - 4704*b*c^5*d^5*e^5 + 3626*a^2*b^2*c^2*e^10 + 3920*a^2*c^4*d^2*e^8 + 4410*b^2*c^4*d^4*e^6 - 980*b^3*c^3*d^3*e^7 - 490*b^4*c^2*d^2*e^8 - 784*a*b^4*c*e^10 + 196*b^5*c*d*e^9 - 11760*a*b*c^4*d^3*e^7 - 980*a*b^3*c^2*d*e^9 - 3920*a^2*b*c^3*d*e^9 + 6860*a*b^2*c^3*d^2*e^8))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (7*(245*a^2*b^4*e^14 + 10584*a^4*c^2*e^14 + 245*b^6*d^2*e^12 + 1568*c^6*d^8*e^6 - 3234*a^3*b^2*c*e^14 + 11368*a*c^5*d^6*e^8 - 6272*b*c^5*d^7*e^7 + 784*b^5*c*d^3*e^11 + 28616*a^2*c^4*d^4*e^10 + 29400*a^3*c^3*d^2*e^12 + 8134*b^2*c^4*d^6*e^8 - 2450*b^3*c^3*d^5*e^9 - 2009*b^4*c^2*d^4*e^10 - 490*a*b^5*d*e^13 + 20874*a^2*b^2*c^2*d^2*e^12 - 34104*a*b*c^4*d^5*e^9 - 5292*a*b^4*c*d^2*e^12 + 7742*a^2*b^3*c*d*e^13 - 29400*a^3*b*c^2*d*e^13 + 28322*a*b^2*c^3*d^4*e^10 + 196*a*b^3*c^2*d^3*e^11 - 57232*a^2*b*c^3*d^3*e^11))/(32*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3))))*((49*(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6))/(128*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i","B"
1624,1,12750,398,7.653076,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^3,x)","-\frac{\frac{3\,{\left(d+e\,x\right)}^{5/2}\,\left(b^2\,e^4-10\,b\,c\,d\,e^3+10\,c^2\,d^2\,e^2+6\,a\,c\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}-\frac{15\,{\left(d+e\,x\right)}^{3/2}\,\left(b^2\,d\,e^4-3\,b\,c\,d^2\,e^3-a\,b\,e^5+2\,c^2\,d^3\,e^2+2\,a\,c\,d\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}+\frac{5\,\sqrt{d+e\,x}\,\left(a^2\,e^6-2\,a\,b\,d\,e^5+2\,a\,c\,d^2\,e^4+b^2\,d^2\,e^4-2\,b\,c\,d^3\,e^3+c^2\,d^4\,e^2\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{5\,c\,\left(b\,e^3-2\,c\,d\,e^2\right)\,{\left(d+e\,x\right)}^{7/2}}{4\,\left(4\,a\,c-b^2\right)}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,e^4+c^2\,d^4+b^2\,d^2\,e^2-2\,a\,b\,d\,e^3-2\,b\,c\,d^3\,e+2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}}{\frac{5\,\left(-100\,a^2\,b\,c^2\,e^{11}+200\,a^2\,c^3\,d\,e^{10}-75\,a\,b^3\,c\,e^{11}+650\,a\,b^2\,c^2\,d\,e^{10}-1500\,a\,b\,c^3\,d^2\,e^9+1000\,a\,c^4\,d^3\,e^8+75\,b^4\,c\,d\,e^{10}-625\,b^3\,c^2\,d^2\,e^9+1750\,b^2\,c^3\,d^3\,e^8-2000\,b\,c^4\,d^4\,e^7+800\,c^5\,d^5\,e^6\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}}\right)\,\sqrt{-\frac{25\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}}{\frac{5\,\left(-100\,a^2\,b\,c^2\,e^{11}+200\,a^2\,c^3\,d\,e^{10}-75\,a\,b^3\,c\,e^{11}+650\,a\,b^2\,c^2\,d\,e^{10}-1500\,a\,b\,c^3\,d^2\,e^9+1000\,a\,c^4\,d^3\,e^8+75\,b^4\,c\,d\,e^{10}-625\,b^3\,c^2\,d^2\,e^9+1750\,b^2\,c^3\,d^3\,e^8-2000\,b\,c^4\,d^4\,e^7+800\,c^5\,d^5\,e^6\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\left(\left(\frac{5\,\left(8192\,a^4\,c^5\,e^6-6144\,a^3\,b^2\,c^4\,e^6-8192\,a^3\,b\,c^5\,d\,e^5+8192\,a^3\,c^6\,d^2\,e^4+1536\,a^2\,b^4\,c^3\,e^6+6144\,a^2\,b^3\,c^4\,d\,e^5-6144\,a^2\,b^2\,c^5\,d^2\,e^4-128\,a\,b^6\,c^2\,e^6-1536\,a\,b^5\,c^3\,d\,e^5+1536\,a\,b^4\,c^4\,d^2\,e^4+128\,b^7\,c^2\,d\,e^5-128\,b^6\,c^3\,d^2\,e^4\right)}{64\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-4096\,a^3\,b\,c^5\,e^3+8192\,d\,a^3\,c^6\,e^2+3072\,a^2\,b^3\,c^4\,e^3-6144\,d\,a^2\,b^2\,c^5\,e^2-768\,a\,b^5\,c^3\,e^3+1536\,d\,a\,b^4\,c^4\,e^2+64\,b^7\,c^2\,e^3-128\,d\,b^6\,c^3\,e^2\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{\sqrt{d+e\,x}\,\left(200\,a^2\,c^3\,e^8+50\,a\,b^2\,c^2\,e^8-600\,a\,b\,c^3\,d\,e^7+600\,a\,c^4\,d^2\,e^6+25\,b^4\,c\,e^8-250\,b^3\,c^2\,d\,e^7+1050\,b^2\,c^3\,d^2\,e^6-1600\,b\,c^4\,d^3\,e^5+800\,c^5\,d^4\,e^4\right)}{8\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}}\right)\,\sqrt{\frac{25\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i - (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i)/((5*(800*c^5*d^5*e^6 - 100*a^2*b*c^2*e^11 + 1000*a*c^4*d^3*e^8 + 200*a^2*c^3*d*e^10 - 2000*b*c^4*d^4*e^7 + 1750*b^2*c^3*d^3*e^8 - 625*b^3*c^2*d^2*e^9 - 75*a*b^3*c*e^11 + 75*b^4*c*d*e^10 - 1500*a*b*c^3*d^2*e^9 + 650*a*b^2*c^2*d*e^10))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)))*(-(25*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*2i - atan(((((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i - (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i)/((5*(800*c^5*d^5*e^6 - 100*a^2*b*c^2*e^11 + 1000*a*c^4*d^3*e^8 + 200*a^2*c^3*d*e^10 - 2000*b*c^4*d^4*e^7 + 1750*b^2*c^3*d^3*e^8 - 625*b^3*c^2*d^2*e^9 - 75*a*b^3*c*e^11 + 75*b^4*c*d*e^10 - 1500*a*b*c^3*d^2*e^9 + 650*a*b^2*c^2*d*e^10))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (((5*(8192*a^4*c^5*e^6 - 128*a*b^6*c^2*e^6 + 128*b^7*c^2*d*e^5 + 1536*a^2*b^4*c^3*e^6 - 6144*a^3*b^2*c^4*e^6 + 8192*a^3*c^6*d^2*e^4 - 128*b^6*c^3*d^2*e^4 - 6144*a^2*b^2*c^5*d^2*e^4 - 1536*a*b^5*c^3*d*e^5 - 8192*a^3*b*c^5*d*e^5 + 1536*a*b^4*c^4*d^2*e^4 + 6144*a^2*b^3*c^4*d*e^5))/(64*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(64*b^7*c^2*e^3 - 768*a*b^5*c^3*e^3 - 4096*a^3*b*c^5*e^3 + 8192*a^3*c^6*d*e^2 - 128*b^6*c^3*d*e^2 + 3072*a^2*b^3*c^4*e^3 + 1536*a*b^4*c^4*d*e^2 - 6144*a^2*b^2*c^5*d*e^2))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + ((d + e*x)^(1/2)*(25*b^4*c*e^8 + 200*a^2*c^3*e^8 + 800*c^5*d^4*e^4 + 50*a*b^2*c^2*e^8 + 600*a*c^4*d^2*e^6 - 1600*b*c^4*d^3*e^5 - 250*b^3*c^2*d*e^7 + 1050*b^2*c^3*d^2*e^6 - 600*a*b*c^3*d*e^7))/(8*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)))*((25*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*2i - ((3*(d + e*x)^(5/2)*(b^2*e^4 + 10*c^2*d^2*e^2 + 6*a*c*e^4 - 10*b*c*d*e^3))/(4*(4*a*c - b^2)) - (15*(d + e*x)^(3/2)*(b^2*d*e^4 + 2*c^2*d^3*e^2 - a*b*e^5 + 2*a*c*d*e^4 - 3*b*c*d^2*e^3))/(4*(4*a*c - b^2)) + (5*(d + e*x)^(1/2)*(a^2*e^6 + b^2*d^2*e^4 + c^2*d^4*e^2 - 2*a*b*d*e^5 + 2*a*c*d^2*e^4 - 2*b*c*d^3*e^3))/(2*(4*a*c - b^2)) + (5*c*(b*e^3 - 2*c*d*e^2)*(d + e*x)^(7/2))/(4*(4*a*c - b^2)))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)","B"
1625,1,16393,322,7.151087,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^3,x)","\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(5\,b^2\,e^4-18\,b\,c\,d\,e^3+18\,c^2\,d^2\,e^2-2\,a\,c\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}-\frac{3\,\sqrt{d+e\,x}\,\left(b^2\,d\,e^4-3\,b\,c\,d^2\,e^3-a\,b\,e^5+2\,c^2\,d^3\,e^2+2\,a\,c\,d\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}+\frac{3\,c^2\,e^2\,{\left(d+e\,x\right)}^{7/2}}{2\,\left(4\,a\,c-b^2\right)}+\frac{9\,c\,e^2\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{4\,\left(4\,a\,c-b^2\right)}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,e^4+c^2\,d^4+b^2\,d^2\,e^2-2\,a\,b\,d\,e^3-2\,b\,c\,d^3\,e+2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{3\,\left(27\,b^2\,c^3\,e^8-144\,b\,c^4\,d\,e^7+144\,c^5\,d^2\,e^6+36\,a\,c^4\,e^8\right)}{16\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{-\frac{9\,\left(b^9\,e^5+e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4\,e^5+1536\,a^4\,c^5\,d\,e^4-96\,a^2\,b^5\,c^2\,e^5+512\,a^3\,b^3\,c^3\,e^5+2048\,a^3\,c^6\,d^3\,e^2-32\,b^6\,c^3\,d^3\,e^2+48\,b^7\,c^2\,d^2\,e^3-18\,b^8\,c\,d\,e^4-1536\,a^2\,b^2\,c^5\,d^3\,e^2+2304\,a^2\,b^3\,c^4\,d^2\,e^3+192\,a\,b^6\,c^2\,d\,e^4+384\,a\,b^4\,c^4\,d^3\,e^2-576\,a\,b^5\,c^3\,d^2\,e^3-576\,a^2\,b^4\,c^3\,d\,e^4-3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,1{}\mathrm{i}-\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\left(\left(\frac{3\,\left(-2048\,a^3\,b\,c^5\,e^5+4096\,d\,a^3\,c^6\,e^4+1536\,a^2\,b^3\,c^4\,e^5-3072\,d\,a^2\,b^2\,c^5\,e^4-384\,a\,b^5\,c^3\,e^5+768\,d\,a\,b^4\,c^4\,e^4+32\,b^7\,c^2\,e^5-64\,d\,b^6\,c^3\,e^4\right)}{32\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,\left(-2048\,a^3\,b\,c^5\,e^3+4096\,d\,a^3\,c^6\,e^2+1536\,a^2\,b^3\,c^4\,e^3-3072\,d\,a^2\,b^2\,c^5\,e^2-384\,a\,b^5\,c^3\,e^3+768\,d\,a\,b^4\,c^4\,e^2+32\,b^7\,c^2\,e^3-64\,d\,b^6\,c^3\,e^2\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}-\frac{\sqrt{d+e\,x}\,\left(-45\,b^2\,c^3\,e^6+144\,b\,c^4\,d\,e^5-144\,c^5\,d^2\,e^4+36\,a\,c^4\,e^6\right)}{4\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}+\frac{3\,\left(27\,b^2\,c^3\,e^8-144\,b\,c^4\,d\,e^7+144\,c^5\,d^2\,e^6+36\,a\,c^4\,e^8\right)}{16\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{\frac{9\,\left(e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9\,e^5+768\,a^4\,b\,c^4\,e^5-1536\,a^4\,c^5\,d\,e^4+96\,a^2\,b^5\,c^2\,e^5-512\,a^3\,b^3\,c^3\,e^5-2048\,a^3\,c^6\,d^3\,e^2+32\,b^6\,c^3\,d^3\,e^2-48\,b^7\,c^2\,d^2\,e^3+18\,b^8\,c\,d\,e^4+1536\,a^2\,b^2\,c^5\,d^3\,e^2-2304\,a^2\,b^3\,c^4\,d^2\,e^3-192\,a\,b^6\,c^2\,d\,e^4-384\,a\,b^4\,c^4\,d^3\,e^2+576\,a\,b^5\,c^3\,d^2\,e^3+576\,a^2\,b^4\,c^3\,d\,e^4+3072\,a^3\,b\,c^5\,d^2\,e^3\right)}{128\,\left(4096\,a^7\,c^6\,e^2-6144\,a^6\,b^2\,c^5\,e^2-4096\,a^6\,b\,c^6\,d\,e+4096\,a^6\,c^7\,d^2+3840\,a^5\,b^4\,c^4\,e^2+6144\,a^5\,b^3\,c^5\,d\,e-6144\,a^5\,b^2\,c^6\,d^2-1280\,a^4\,b^6\,c^3\,e^2-3840\,a^4\,b^5\,c^4\,d\,e+3840\,a^4\,b^4\,c^5\,d^2+240\,a^3\,b^8\,c^2\,e^2+1280\,a^3\,b^7\,c^3\,d\,e-1280\,a^3\,b^6\,c^4\,d^2-24\,a^2\,b^{10}\,c\,e^2-240\,a^2\,b^9\,c^2\,d\,e+240\,a^2\,b^8\,c^3\,d^2+a\,b^{12}\,e^2+24\,a\,b^{11}\,c\,d\,e-24\,a\,b^{10}\,c^2\,d^2-b^{13}\,d\,e+b^{12}\,c\,d^2\right)}}\,2{}\mathrm{i}","Not used",1,"(((d + e*x)^(3/2)*(5*b^2*e^4 + 18*c^2*d^2*e^2 - 2*a*c*e^4 - 18*b*c*d*e^3))/(4*(4*a*c - b^2)) - (3*(d + e*x)^(1/2)*(b^2*d*e^4 + 2*c^2*d^3*e^2 - a*b*e^5 + 2*a*c*d*e^4 - 3*b*c*d^2*e^3))/(4*(4*a*c - b^2)) + (3*c^2*e^2*(d + e*x)^(7/2))/(2*(4*a*c - b^2)) + (9*c*e^2*(b*e - 2*c*d)*(d + e*x)^(5/2))/(4*(4*a*c - b^2)))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - atan(((((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*1i - (((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) - ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*1i)/((((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + (((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) - ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + (3*(36*a*c^4*e^8 + 27*b^2*c^3*e^8 + 144*c^5*d^2*e^6 - 144*b*c^4*d*e^7))/(16*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*((9*(e^5*(-(4*a*c - b^2)^9)^(1/2) - b^9*e^5 + 768*a^4*b*c^4*e^5 - 1536*a^4*c^5*d*e^4 + 96*a^2*b^5*c^2*e^5 - 512*a^3*b^3*c^3*e^5 - 2048*a^3*c^6*d^3*e^2 + 32*b^6*c^3*d^3*e^2 - 48*b^7*c^2*d^2*e^3 + 18*b^8*c*d*e^4 + 1536*a^2*b^2*c^5*d^3*e^2 - 2304*a^2*b^3*c^4*d^2*e^3 - 192*a*b^6*c^2*d*e^4 - 384*a*b^4*c^4*d^3*e^2 + 576*a*b^5*c^3*d^2*e^3 + 576*a^2*b^4*c^3*d*e^4 + 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*2i - atan(((((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*1i - (((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) - ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*1i)/((((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - ((d + e*x)^(1/2)*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + (((3*(32*b^7*c^2*e^5 - 384*a*b^5*c^3*e^5 - 2048*a^3*b*c^5*e^5 + 4096*a^3*c^6*d*e^4 - 64*b^6*c^3*d*e^4 + 1536*a^2*b^3*c^4*e^5 + 768*a*b^4*c^4*d*e^4 - 3072*a^2*b^2*c^5*d*e^4))/(32*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + ((d + e*x)^(1/2)*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*(32*b^7*c^2*e^3 - 384*a*b^5*c^3*e^3 - 2048*a^3*b*c^5*e^3 + 4096*a^3*c^6*d*e^2 - 64*b^6*c^3*d*e^2 + 1536*a^2*b^3*c^4*e^3 + 768*a*b^4*c^4*d*e^2 - 3072*a^2*b^2*c^5*d*e^2))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) - ((d + e*x)^(1/2)*(36*a*c^4*e^6 - 45*b^2*c^3*e^6 - 144*c^5*d^2*e^4 + 144*b*c^4*d*e^5))/(4*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2) + (3*(36*a*c^4*e^8 + 27*b^2*c^3*e^8 + 144*c^5*d^2*e^6 - 144*b*c^4*d*e^7))/(16*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(-(9*(b^9*e^5 + e^5*(-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4*e^5 + 1536*a^4*c^5*d*e^4 - 96*a^2*b^5*c^2*e^5 + 512*a^3*b^3*c^3*e^5 + 2048*a^3*c^6*d^3*e^2 - 32*b^6*c^3*d^3*e^2 + 48*b^7*c^2*d^2*e^3 - 18*b^8*c*d*e^4 - 1536*a^2*b^2*c^5*d^3*e^2 + 2304*a^2*b^3*c^4*d^2*e^3 + 192*a*b^6*c^2*d*e^4 + 384*a*b^4*c^4*d^3*e^2 - 576*a*b^5*c^3*d^2*e^3 - 576*a^2*b^4*c^3*d*e^4 - 3072*a^3*b*c^5*d^2*e^3))/(128*(a*b^12*e^2 + b^12*c*d^2 + 4096*a^6*c^7*d^2 + 4096*a^7*c^6*e^2 - b^13*d*e - 24*a*b^10*c^2*d^2 - 24*a^2*b^10*c*e^2 + 240*a^2*b^8*c^3*d^2 - 1280*a^3*b^6*c^4*d^2 + 3840*a^4*b^4*c^5*d^2 - 6144*a^5*b^2*c^6*d^2 + 240*a^3*b^8*c^2*e^2 - 1280*a^4*b^6*c^3*e^2 + 3840*a^5*b^4*c^4*e^2 - 6144*a^6*b^2*c^5*e^2 - 4096*a^6*b*c^6*d*e - 240*a^2*b^9*c^2*d*e + 1280*a^3*b^7*c^3*d*e - 3840*a^4*b^5*c^4*d*e + 6144*a^5*b^3*c^5*d*e + 24*a*b^11*c*d*e)))^(1/2)*2i","B"
1626,1,46559,463,9.030322,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^3,x)","\frac{\frac{\sqrt{d+e\,x}\,\left(b^2\,e^4+2\,b\,c\,d\,e^3-2\,c^2\,d^2\,e^2-6\,a\,c\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(-b^2\,c\,e^4+3\,b\,c^2\,d\,e^3-3\,c^3\,d^2\,e^2+a\,c^2\,e^4\right)}{2\,\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(b^3\,e^5-5\,b^2\,c\,d\,e^4+9\,b\,c^2\,d^2\,e^3-a\,b\,c\,e^5-6\,c^3\,d^3\,e^2+2\,a\,c^2\,d\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}+\frac{c\,\left(2\,c^2\,d\,e^2-b\,c\,e^3\right)\,{\left(d+e\,x\right)}^{7/2}}{4\,\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,e^4+c^2\,d^4+b^2\,d^2\,e^2-2\,a\,b\,d\,e^3-2\,b\,c\,d^3\,e+2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{24576\,a^5\,c^6\,e^8-22528\,a^4\,b^2\,c^5\,e^8-32768\,a^4\,b\,c^6\,d\,e^7+32768\,a^4\,c^7\,d^2\,e^6+7680\,a^3\,b^4\,c^4\,e^8+28672\,a^3\,b^3\,c^5\,d\,e^7-20480\,a^3\,b^2\,c^6\,d^2\,e^6-16384\,a^3\,b\,c^7\,d^3\,e^5+8192\,a^3\,c^8\,d^4\,e^4-1152\,a^2\,b^6\,c^3\,e^8-9216\,a^2\,b^5\,c^4\,d\,e^7+3072\,a^2\,b^4\,c^5\,d^2\,e^6+12288\,a^2\,b^3\,c^6\,d^3\,e^5-6144\,a^2\,b^2\,c^7\,d^4\,e^4+64\,a\,b^8\,c^2\,e^8+1280\,a\,b^7\,c^3\,d\,e^7+256\,a\,b^6\,c^4\,d^2\,e^6-3072\,a\,b^5\,c^5\,d^3\,e^5+1536\,a\,b^4\,c^6\,d^4\,e^4-64\,b^9\,c^2\,d\,e^7-64\,b^8\,c^3\,d^2\,e^6+256\,b^7\,c^4\,d^3\,e^5-128\,b^6\,c^5\,d^4\,e^4}{64\,\left(-64\,a^5\,c^3\,e^4+48\,a^4\,b^2\,c^2\,e^4+128\,a^4\,b\,c^3\,d\,e^3-128\,a^4\,c^4\,d^2\,e^2-12\,a^3\,b^4\,c\,e^4-96\,a^3\,b^3\,c^2\,d\,e^3+32\,a^3\,b^2\,c^3\,d^2\,e^2+128\,a^3\,b\,c^4\,d^3\,e-64\,a^3\,c^5\,d^4+a^2\,b^6\,e^4+24\,a^2\,b^5\,c\,d\,e^3+24\,a^2\,b^4\,c^2\,d^2\,e^2-96\,a^2\,b^3\,c^3\,d^3\,e+48\,a^2\,b^2\,c^4\,d^4-2\,a\,b^7\,d\,e^3-10\,a\,b^6\,c\,d^2\,e^2+24\,a\,b^5\,c^2\,d^3\,e-12\,a\,b^4\,c^3\,d^4+b^8\,d^2\,e^2-2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7+3840\,a^5\,b\,c^5\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5-5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7-9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6+5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6}{128\,\left(-4096\,a^9\,c^6\,e^6+6144\,a^8\,b^2\,c^5\,e^6+12288\,a^8\,b\,c^6\,d\,e^5-12288\,a^8\,c^7\,d^2\,e^4-3840\,a^7\,b^4\,c^4\,e^6-18432\,a^7\,b^3\,c^5\,d\,e^5+6144\,a^7\,b^2\,c^6\,d^2\,e^4+24576\,a^7\,b\,c^7\,d^3\,e^3-12288\,a^7\,c^8\,d^4\,e^2+1280\,a^6\,b^6\,c^3\,e^6+11520\,a^6\,b^5\,c^4\,d\,e^5+6912\,a^6\,b^4\,c^5\,d^2\,e^4-32768\,a^6\,b^3\,c^6\,d^3\,e^3+6144\,a^6\,b^2\,c^7\,d^4\,e^2+12288\,a^6\,b\,c^8\,d^5\,e-4096\,a^6\,c^9\,d^6-240\,a^5\,b^8\,c^2\,e^6-3840\,a^5\,b^7\,c^3\,d\,e^5-7680\,a^5\,b^6\,c^4\,d^2\,e^4+16896\,a^5\,b^5\,c^5\,d^3\,e^3+6912\,a^5\,b^4\,c^6\,d^4\,e^2-18432\,a^5\,b^3\,c^7\,d^5\,e+6144\,a^5\,b^2\,c^8\,d^6+24\,a^4\,b^{10}\,c\,e^6+720\,a^4\,b^9\,c^2\,d\,e^5+3120\,a^4\,b^8\,c^3\,d^2\,e^4-3840\,a^4\,b^7\,c^4\,d^3\,e^3-7680\,a^4\,b^6\,c^5\,d^4\,e^2+11520\,a^4\,b^5\,c^6\,d^5\,e-3840\,a^4\,b^4\,c^7\,d^6-a^3\,b^{12}\,e^6-72\,a^3\,b^{11}\,c\,d\,e^5-648\,a^3\,b^{10}\,c^2\,d^2\,e^4+160\,a^3\,b^9\,c^3\,d^3\,e^3+3120\,a^3\,b^8\,c^4\,d^4\,e^2-3840\,a^3\,b^7\,c^5\,d^5\,e+1280\,a^3\,b^6\,c^6\,d^6+3\,a^2\,b^{13}\,d\,e^5+69\,a^2\,b^{12}\,c\,d^2\,e^4+96\,a^2\,b^{11}\,c^2\,d^3\,e^3-648\,a^2\,b^{10}\,c^3\,d^4\,e^2+720\,a^2\,b^9\,c^4\,d^5\,e-240\,a^2\,b^8\,c^5\,d^6-3\,a\,b^{14}\,d^2\,e^4-18\,a\,b^{13}\,c\,d^3\,e^3+69\,a\,b^{12}\,c^2\,d^4\,e^2-72\,a\,b^{11}\,c^3\,d^5\,e+24\,a\,b^{10}\,c^4\,d^6+b^{15}\,d^3\,e^3-3\,b^{14}\,c\,d^4\,e^2+3\,b^{13}\,c^2\,d^5\,e-b^{12}\,c^3\,d^6\right)}}\,\left(-4096\,a^5\,b\,c^5\,e^7+8192\,a^5\,c^6\,d\,e^6+3072\,a^4\,b^3\,c^4\,e^7+2048\,a^4\,b^2\,c^5\,d\,e^6-24576\,a^4\,b\,c^6\,d^2\,e^5+16384\,a^4\,c^7\,d^3\,e^4-768\,a^3\,b^5\,c^3\,e^7-4608\,a^3\,b^4\,c^4\,d\,e^6+14336\,a^3\,b^3\,c^5\,d^2\,e^5+4096\,a^3\,b^2\,c^6\,d^3\,e^4-20480\,a^3\,b\,c^7\,d^4\,e^3+8192\,a^3\,c^8\,d^5\,e^2+64\,a^2\,b^7\,c^2\,e^7+1408\,a^2\,b^6\,c^3\,d\,e^6-1536\,a^2\,b^5\,c^4\,d^2\,e^5-9216\,a^2\,b^4\,c^5\,d^3\,e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2\,b^7\,c\,d^3\,e+b^6\,c^2\,d^4\right)}+\frac{\sqrt{d+e\,x}\,\sqrt{-\frac{3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6}{128\,\left(-4096\,a^9\,c^6\,e^6+6144\,a^8\,b^2\,c^5\,e^6+12288\,a^8\,b\,c^6\,d\,e^5-12288\,a^8\,c^7\,d^2\,e^4-3840\,a^7\,b^4\,c^4\,e^6-18432\,a^7\,b^3\,c^5\,d\,e^5+6144\,a^7\,b^2\,c^6\,d^2\,e^4+24576\,a^7\,b\,c^7\,d^3\,e^3-12288\,a^7\,c^8\,d^4\,e^2+1280\,a^6\,b^6\,c^3\,e^6+11520\,a^6\,b^5\,c^4\,d\,e^5+6912\,a^6\,b^4\,c^5\,d^2\,e^4-32768\,a^6\,b^3\,c^6\,d^3\,e^3+6144\,a^6\,b^2\,c^7\,d^4\,e^2+12288\,a^6\,b\,c^8\,d^5\,e-4096\,a^6\,c^9\,d^6-240\,a^5\,b^8\,c^2\,e^6-3840\,a^5\,b^7\,c^3\,d\,e^5-7680\,a^5\,b^6\,c^4\,d^2\,e^4+16896\,a^5\,b^5\,c^5\,d^3\,e^3+6912\,a^5\,b^4\,c^6\,d^4\,e^2-18432\,a^5\,b^3\,c^7\,d^5\,e+6144\,a^5\,b^2\,c^8\,d^6+24\,a^4\,b^{10}\,c\,e^6+720\,a^4\,b^9\,c^2\,d\,e^5+3120\,a^4\,b^8\,c^3\,d^2\,e^4-3840\,a^4\,b^7\,c^4\,d^3\,e^3-7680\,a^4\,b^6\,c^5\,d^4\,e^2+11520\,a^4\,b^5\,c^6\,d^5\,e-3840\,a^4\,b^4\,c^7\,d^6-a^3\,b^{12}\,e^6-72\,a^3\,b^{11}\,c\,d\,e^5-648\,a^3\,b^{10}\,c^2\,d^2\,e^4+160\,a^3\,b^9\,c^3\,d^3\,e^3+3120\,a^3\,b^8\,c^4\,d^4\,e^2-3840\,a^3\,b^7\,c^5\,d^5\,e+1280\,a^3\,b^6\,c^6\,d^6+3\,a^2\,b^{13}\,d\,e^5+69\,a^2\,b^{12}\,c\,d^2\,e^4+96\,a^2\,b^{11}\,c^2\,d^3\,e^3-648\,a^2\,b^{10}\,c^3\,d^4\,e^2+720\,a^2\,b^9\,c^4\,d^5\,e-240\,a^2\,b^8\,c^5\,d^6-3\,a\,b^{14}\,d^2\,e^4-18\,a\,b^{13}\,c\,d^3\,e^3+69\,a\,b^{12}\,c^2\,d^4\,e^2-72\,a\,b^{11}\,c^3\,d^5\,e+24\,a\,b^{10}\,c^4\,d^6+b^{15}\,d^3\,e^3-3\,b^{14}\,c\,d^4\,e^2+3\,b^{13}\,c^2\,d^5\,e-b^{12}\,c^3\,d^6\right)}}\,\left(-4096\,a^5\,b\,c^5\,e^7+8192\,a^5\,c^6\,d\,e^6+3072\,a^4\,b^3\,c^4\,e^7+2048\,a^4\,b^2\,c^5\,d\,e^6-24576\,a^4\,b\,c^6\,d^2\,e^5+16384\,a^4\,c^7\,d^3\,e^4-768\,a^3\,b^5\,c^3\,e^7-4608\,a^3\,b^4\,c^4\,d\,e^6+14336\,a^3\,b^3\,c^5\,d^2\,e^5+4096\,a^3\,b^2\,c^6\,d^3\,e^4-20480\,a^3\,b\,c^7\,d^4\,e^3+8192\,a^3\,c^8\,d^5\,e^2+64\,a^2\,b^7\,c^2\,e^7+1408\,a^2\,b^6\,c^3\,d\,e^6-1536\,a^2\,b^5\,c^4\,d^2\,e^5-9216\,a^2\,b^4\,c^5\,d^3\,e^4+15360\,a^2\,b^3\,c^6\,d^4\,e^3-6144\,a^2\,b^2\,c^7\,d^5\,e^2-128\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^7\,c^3\,d^2\,e^5+2816\,a\,b^6\,c^4\,d^3\,e^4-3840\,a\,b^5\,c^5\,d^4\,e^3+1536\,a\,b^4\,c^6\,d^5\,e^2+64\,b^9\,c^2\,d^2\,e^5-256\,b^8\,c^3\,d^3\,e^4+320\,b^7\,c^4\,d^4\,e^3-128\,b^6\,c^5\,d^5\,e^2\right)}{8\,\left(16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\sqrt{-\frac{3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6}{128\,\left(-4096\,a^9\,c^6\,e^6+6144\,a^8\,b^2\,c^5\,e^6+12288\,a^8\,b\,c^6\,d\,e^5-12288\,a^8\,c^7\,d^2\,e^4-3840\,a^7\,b^4\,c^4\,e^6-18432\,a^7\,b^3\,c^5\,d\,e^5+6144\,a^7\,b^2\,c^6\,d^2\,e^4+24576\,a^7\,b\,c^7\,d^3\,e^3-12288\,a^7\,c^8\,d^4\,e^2+1280\,a^6\,b^6\,c^3\,e^6+11520\,a^6\,b^5\,c^4\,d\,e^5+6912\,a^6\,b^4\,c^5\,d^2\,e^4-32768\,a^6\,b^3\,c^6\,d^3\,e^3+6144\,a^6\,b^2\,c^7\,d^4\,e^2+12288\,a^6\,b\,c^8\,d^5\,e-4096\,a^6\,c^9\,d^6-240\,a^5\,b^8\,c^2\,e^6-3840\,a^5\,b^7\,c^3\,d\,e^5-7680\,a^5\,b^6\,c^4\,d^2\,e^4+16896\,a^5\,b^5\,c^5\,d^3\,e^3+6912\,a^5\,b^4\,c^6\,d^4\,e^2-18432\,a^5\,b^3\,c^7\,d^5\,e+6144\,a^5\,b^2\,c^8\,d^6+24\,a^4\,b^{10}\,c\,e^6+720\,a^4\,b^9\,c^2\,d\,e^5+3120\,a^4\,b^8\,c^3\,d^2\,e^4-3840\,a^4\,b^7\,c^4\,d^3\,e^3-7680\,a^4\,b^6\,c^5\,d^4\,e^2+11520\,a^4\,b^5\,c^6\,d^5\,e-3840\,a^4\,b^4\,c^7\,d^6-a^3\,b^{12}\,e^6-72\,a^3\,b^{11}\,c\,d\,e^5-648\,a^3\,b^{10}\,c^2\,d^2\,e^4+160\,a^3\,b^9\,c^3\,d^3\,e^3+3120\,a^3\,b^8\,c^4\,d^4\,e^2-3840\,a^3\,b^7\,c^5\,d^5\,e+1280\,a^3\,b^6\,c^6\,d^6+3\,a^2\,b^{13}\,d\,e^5+69\,a^2\,b^{12}\,c\,d^2\,e^4+96\,a^2\,b^{11}\,c^2\,d^3\,e^3-648\,a^2\,b^{10}\,c^3\,d^4\,e^2+720\,a^2\,b^9\,c^4\,d^5\,e-240\,a^2\,b^8\,c^5\,d^6-3\,a\,b^{14}\,d^2\,e^4-18\,a\,b^{13}\,c\,d^3\,e^3+69\,a\,b^{12}\,c^2\,d^4\,e^2-72\,a\,b^{11}\,c^3\,d^5\,e+24\,a\,b^{10}\,c^4\,d^6+b^{15}\,d^3\,e^3-3\,b^{14}\,c\,d^4\,e^2+3\,b^{13}\,c^2\,d^5\,e-b^{12}\,c^3\,d^6\right)}}+\frac{\sqrt{d+e\,x}\,\left(72\,a^2\,c^5\,e^8-14\,a\,b^2\,c^4\,e^8-88\,a\,b\,c^5\,d\,e^7+88\,a\,c^6\,d^2\,e^6+b^4\,c^3\,e^8+6\,b^3\,c^4\,d\,e^7+26\,b^2\,c^5\,d^2\,e^6-64\,b\,c^6\,d^3\,e^5+32\,c^7\,d^4\,e^4\right)}{8\,\left(16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}\right)\,\sqrt{-\frac{3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6}{128\,\left(-4096\,a^9\,c^6\,e^6+6144\,a^8\,b^2\,c^5\,e^6+12288\,a^8\,b\,c^6\,d\,e^5-12288\,a^8\,c^7\,d^2\,e^4-3840\,a^7\,b^4\,c^4\,e^6-18432\,a^7\,b^3\,c^5\,d\,e^5+6144\,a^7\,b^2\,c^6\,d^2\,e^4+24576\,a^7\,b\,c^7\,d^3\,e^3-12288\,a^7\,c^8\,d^4\,e^2+1280\,a^6\,b^6\,c^3\,e^6+11520\,a^6\,b^5\,c^4\,d\,e^5+6912\,a^6\,b^4\,c^5\,d^2\,e^4-32768\,a^6\,b^3\,c^6\,d^3\,e^3+6144\,a^6\,b^2\,c^7\,d^4\,e^2+12288\,a^6\,b\,c^8\,d^5\,e-4096\,a^6\,c^9\,d^6-240\,a^5\,b^8\,c^2\,e^6-3840\,a^5\,b^7\,c^3\,d\,e^5-7680\,a^5\,b^6\,c^4\,d^2\,e^4+16896\,a^5\,b^5\,c^5\,d^3\,e^3+6912\,a^5\,b^4\,c^6\,d^4\,e^2-18432\,a^5\,b^3\,c^7\,d^5\,e+6144\,a^5\,b^2\,c^8\,d^6+24\,a^4\,b^{10}\,c\,e^6+720\,a^4\,b^9\,c^2\,d\,e^5+3120\,a^4\,b^8\,c^3\,d^2\,e^4-3840\,a^4\,b^7\,c^4\,d^3\,e^3-7680\,a^4\,b^6\,c^5\,d^4\,e^2+11520\,a^4\,b^5\,c^6\,d^5\,e-3840\,a^4\,b^4\,c^7\,d^6-a^3\,b^{12}\,e^6-72\,a^3\,b^{11}\,c\,d\,e^5-648\,a^3\,b^{10}\,c^2\,d^2\,e^4+160\,a^3\,b^9\,c^3\,d^3\,e^3+3120\,a^3\,b^8\,c^4\,d^4\,e^2-3840\,a^3\,b^7\,c^5\,d^5\,e+1280\,a^3\,b^6\,c^6\,d^6+3\,a^2\,b^{13}\,d\,e^5+69\,a^2\,b^{12}\,c\,d^2\,e^4+96\,a^2\,b^{11}\,c^2\,d^3\,e^3-648\,a^2\,b^{10}\,c^3\,d^4\,e^2+720\,a^2\,b^9\,c^4\,d^5\,e-240\,a^2\,b^8\,c^5\,d^6-3\,a\,b^{14}\,d^2\,e^4-18\,a\,b^{13}\,c\,d^3\,e^3+69\,a\,b^{12}\,c^2\,d^4\,e^2-72\,a\,b^{11}\,c^3\,d^5\,e+24\,a\,b^{10}\,c^4\,d^6+b^{15}\,d^3\,e^3-3\,b^{14}\,c\,d^4\,e^2+3\,b^{13}\,c^2\,d^5\,e-b^{12}\,c^3\,d^6\right)}}}\right)\,\sqrt{-\frac{3840\,a^5\,b\,c^5\,e^7-b^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^{11}\,e^7-7680\,a^5\,c^6\,d\,e^6-288\,a^2\,b^7\,c^2\,e^7+1504\,a^3\,b^5\,c^3\,e^7-3840\,a^4\,b^3\,c^4\,e^7-2048\,a^3\,c^8\,d^5\,e^2-7680\,a^4\,c^7\,d^3\,e^4+32\,b^6\,c^5\,d^5\,e^2-80\,b^7\,c^4\,d^4\,e^3+50\,b^8\,c^3\,d^3\,e^4+5\,b^9\,c^2\,d^2\,e^5+5\,c^2\,d^2\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+27\,a\,b^9\,c\,e^7+9\,a\,c\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-5\,b^{10}\,c\,d\,e^6-5\,b\,c\,d\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+1536\,a^2\,b^2\,c^7\,d^5\,e^2-3840\,a^2\,b^3\,c^6\,d^4\,e^3+960\,a^2\,b^4\,c^5\,d^3\,e^4+2400\,a^2\,b^5\,c^4\,d^2\,e^5+2560\,a^3\,b^2\,c^6\,d^3\,e^4-8960\,a^3\,b^3\,c^5\,d^2\,e^5+90\,a\,b^8\,c^2\,d\,e^6-384\,a\,b^4\,c^6\,d^5\,e^2+960\,a\,b^5\,c^5\,d^4\,e^3-480\,a\,b^6\,c^4\,d^3\,e^4-240\,a\,b^7\,c^3\,d^2\,e^5-480\,a^2\,b^6\,c^3\,d\,e^6+5120\,a^3\,b\,c^7\,d^4\,e^3+320\,a^3\,b^4\,c^4\,d\,e^6+11520\,a^4\,b\,c^6\,d^2\,e^5+3840\,a^4\,b^2\,c^5\,d\,e^6}{128\,\left(-4096\,a^9\,c^6\,e^6+6144\,a^8\,b^2\,c^5\,e^6+12288\,a^8\,b\,c^6\,d\,e^5-12288\,a^8\,c^7\,d^2\,e^4-3840\,a^7\,b^4\,c^4\,e^6-18432\,a^7\,b^3\,c^5\,d\,e^5+6144\,a^7\,b^2\,c^6\,d^2\,e^4+24576\,a^7\,b\,c^7\,d^3\,e^3-12288\,a^7\,c^8\,d^4\,e^2+1280\,a^6\,b^6\,c^3\,e^6+11520\,a^6\,b^5\,c^4\,d\,e^5+6912\,a^6\,b^4\,c^5\,d^2\,e^4-32768\,a^6\,b^3\,c^6\,d^3\,e^3+6144\,a^6\,b^2\,c^7\,d^4\,e^2+12288\,a^6\,b\,c^8\,d^5\,e-4096\,a^6\,c^9\,d^6-240\,a^5\,b^8\,c^2\,e^6-3840\,a^5\,b^7\,c^3\,d\,e^5-7680\,a^5\,b^6\,c^4\,d^2\,e^4+16896\,a^5\,b^5\,c^5\,d^3\,e^3+6912\,a^5\,b^4\,c^6\,d^4\,e^2-18432\,a^5\,b^3\,c^7\,d^5\,e+6144\,a^5\,b^2\,c^8\,d^6+24\,a^4\,b^{10}\,c\,e^6+720\,a^4\,b^9\,c^2\,d\,e^5+3120\,a^4\,b^8\,c^3\,d^2\,e^4-3840\,a^4\,b^7\,c^4\,d^3\,e^3-7680\,a^4\,b^6\,c^5\,d^4\,e^2+11520\,a^4\,b^5\,c^6\,d^5\,e-3840\,a^4\,b^4\,c^7\,d^6-a^3\,b^{12}\,e^6-72\,a^3\,b^{11}\,c\,d\,e^5-648\,a^3\,b^{10}\,c^2\,d^2\,e^4+160\,a^3\,b^9\,c^3\,d^3\,e^3+3120\,a^3\,b^8\,c^4\,d^4\,e^2-3840\,a^3\,b^7\,c^5\,d^5\,e+1280\,a^3\,b^6\,c^6\,d^6+3\,a^2\,b^{13}\,d\,e^5+69\,a^2\,b^{12}\,c\,d^2\,e^4+96\,a^2\,b^{11}\,c^2\,d^3\,e^3-648\,a^2\,b^{10}\,c^3\,d^4\,e^2+720\,a^2\,b^9\,c^4\,d^5\,e-240\,a^2\,b^8\,c^5\,d^6-3\,a\,b^{14}\,d^2\,e^4-18\,a\,b^{13}\,c\,d^3\,e^3+69\,a\,b^{12}\,c^2\,d^4\,e^2-72\,a\,b^{11}\,c^3\,d^5\,e+24\,a\,b^{10}\,c^4\,d^6+b^{15}\,d^3\,e^3-3\,b^{14}\,c\,d^4\,e^2+3\,b^{13}\,c^2\,d^5\,e-b^{12}\,c^3\,d^6\right)}}\,2{}\mathrm{i}","Not used",1,"(((d + e*x)^(1/2)*(b^2*e^4 - 2*c^2*d^2*e^2 - 6*a*c*e^4 + 2*b*c*d*e^3))/(4*(4*a*c - b^2)) + ((d + e*x)^(5/2)*(a*c^2*e^4 - b^2*c*e^4 - 3*c^3*d^2*e^2 + 3*b*c^2*d*e^3))/(2*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)) - ((d + e*x)^(3/2)*(b^3*e^5 - 6*c^3*d^3*e^2 + 9*b*c^2*d^2*e^3 - a*b*c*e^5 + 2*a*c^2*d*e^4 - 5*b^2*c*d*e^4))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)) + (c*(2*c^2*d*e^2 - b*c*e^3)*(d + e*x)^(7/2))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - atan(((((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) - ((d + e*x)^(1/2)*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) - ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*1i - (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + ((d + e*x)^(1/2)*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*1i)/((5*b^3*c^4*e^9 + 32*c^7*d^3*e^6 - 48*b*c^6*d^2*e^7 + 6*b^2*c^5*d*e^8 - 36*a*b*c^5*e^9 + 72*a*c^6*d*e^8)/(32*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) - ((d + e*x)^(1/2)*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) - ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + ((d + e*x)^(1/2)*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)))*(-(b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 + 3840*a^5*b*c^5*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 - 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 - 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 + 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*2i - atan(((((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) - ((d + e*x)^(1/2)*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) - ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*1i - (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + ((d + e*x)^(1/2)*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*1i)/((5*b^3*c^4*e^9 + 32*c^7*d^3*e^6 - 48*b*c^6*d^2*e^7 + 6*b^2*c^5*d*e^8 - 36*a*b*c^5*e^9 + 72*a*c^6*d*e^8)/(32*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) - ((d + e*x)^(1/2)*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) - ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + (((24576*a^5*c^6*e^8 + 64*a*b^8*c^2*e^8 - 64*b^9*c^2*d*e^7 - 1152*a^2*b^6*c^3*e^8 + 7680*a^3*b^4*c^4*e^8 - 22528*a^4*b^2*c^5*e^8 + 8192*a^3*c^8*d^4*e^4 + 32768*a^4*c^7*d^2*e^6 - 128*b^6*c^5*d^4*e^4 + 256*b^7*c^4*d^3*e^5 - 64*b^8*c^3*d^2*e^6 - 6144*a^2*b^2*c^7*d^4*e^4 + 12288*a^2*b^3*c^6*d^3*e^5 + 3072*a^2*b^4*c^5*d^2*e^6 - 20480*a^3*b^2*c^6*d^2*e^6 + 1280*a*b^7*c^3*d*e^7 - 32768*a^4*b*c^6*d*e^7 + 1536*a*b^4*c^6*d^4*e^4 - 3072*a*b^5*c^5*d^3*e^5 + 256*a*b^6*c^4*d^2*e^6 - 9216*a^2*b^5*c^4*d*e^7 - 16384*a^3*b*c^7*d^3*e^5 + 28672*a^3*b^3*c^5*d*e^7)/(64*(a^2*b^6*e^4 - 64*a^3*c^5*d^4 - 64*a^5*c^3*e^4 + b^6*c^2*d^4 + b^8*d^2*e^2 - 12*a*b^4*c^3*d^4 - 12*a^3*b^4*c*e^4 + 48*a^2*b^2*c^4*d^4 + 48*a^4*b^2*c^2*e^4 - 128*a^4*c^4*d^2*e^2 - 2*a*b^7*d*e^3 - 2*b^7*c*d^3*e + 24*a^2*b^4*c^2*d^2*e^2 + 32*a^3*b^2*c^3*d^2*e^2 + 24*a*b^5*c^2*d^3*e - 10*a*b^6*c*d^2*e^2 + 24*a^2*b^5*c*d*e^3 + 128*a^3*b*c^4*d^3*e + 128*a^4*b*c^3*d*e^3 - 96*a^2*b^3*c^3*d^3*e - 96*a^3*b^3*c^2*d*e^3)) + ((d + e*x)^(1/2)*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*(8192*a^5*c^6*d*e^6 - 4096*a^5*b*c^5*e^7 + 64*a^2*b^7*c^2*e^7 - 768*a^3*b^5*c^3*e^7 + 3072*a^4*b^3*c^4*e^7 + 8192*a^3*c^8*d^5*e^2 + 16384*a^4*c^7*d^3*e^4 - 128*b^6*c^5*d^5*e^2 + 320*b^7*c^4*d^4*e^3 - 256*b^8*c^3*d^3*e^4 + 64*b^9*c^2*d^2*e^5 - 6144*a^2*b^2*c^7*d^5*e^2 + 15360*a^2*b^3*c^6*d^4*e^3 - 9216*a^2*b^4*c^5*d^3*e^4 - 1536*a^2*b^5*c^4*d^2*e^5 + 4096*a^3*b^2*c^6*d^3*e^4 + 14336*a^3*b^3*c^5*d^2*e^5 - 128*a*b^8*c^2*d*e^6 + 1536*a*b^4*c^6*d^5*e^2 - 3840*a*b^5*c^5*d^4*e^3 + 2816*a*b^6*c^4*d^3*e^4 - 384*a*b^7*c^3*d^2*e^5 + 1408*a^2*b^6*c^3*d*e^6 - 20480*a^3*b*c^7*d^4*e^3 - 4608*a^3*b^4*c^4*d*e^6 - 24576*a^4*b*c^6*d^2*e^5 + 2048*a^4*b^2*c^5*d*e^6))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2) + ((d + e*x)^(1/2)*(72*a^2*c^5*e^8 + b^4*c^3*e^8 + 32*c^7*d^4*e^4 - 14*a*b^2*c^4*e^8 + 88*a*c^6*d^2*e^6 - 64*b*c^6*d^3*e^5 + 6*b^3*c^4*d*e^7 + 26*b^2*c^5*d^2*e^6 - 88*a*b*c^5*d*e^7))/(8*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)))*(-(3840*a^5*b*c^5*e^7 - b^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - b^11*e^7 - 7680*a^5*c^6*d*e^6 - 288*a^2*b^7*c^2*e^7 + 1504*a^3*b^5*c^3*e^7 - 3840*a^4*b^3*c^4*e^7 - 2048*a^3*c^8*d^5*e^2 - 7680*a^4*c^7*d^3*e^4 + 32*b^6*c^5*d^5*e^2 - 80*b^7*c^4*d^4*e^3 + 50*b^8*c^3*d^3*e^4 + 5*b^9*c^2*d^2*e^5 + 5*c^2*d^2*e^5*(-(4*a*c - b^2)^9)^(1/2) + 27*a*b^9*c*e^7 + 9*a*c*e^7*(-(4*a*c - b^2)^9)^(1/2) - 5*b^10*c*d*e^6 - 5*b*c*d*e^6*(-(4*a*c - b^2)^9)^(1/2) + 1536*a^2*b^2*c^7*d^5*e^2 - 3840*a^2*b^3*c^6*d^4*e^3 + 960*a^2*b^4*c^5*d^3*e^4 + 2400*a^2*b^5*c^4*d^2*e^5 + 2560*a^3*b^2*c^6*d^3*e^4 - 8960*a^3*b^3*c^5*d^2*e^5 + 90*a*b^8*c^2*d*e^6 - 384*a*b^4*c^6*d^5*e^2 + 960*a*b^5*c^5*d^4*e^3 - 480*a*b^6*c^4*d^3*e^4 - 240*a*b^7*c^3*d^2*e^5 - 480*a^2*b^6*c^3*d*e^6 + 5120*a^3*b*c^7*d^4*e^3 + 320*a^3*b^4*c^4*d*e^6 + 11520*a^4*b*c^6*d^2*e^5 + 3840*a^4*b^2*c^5*d*e^6)/(128*(b^15*d^3*e^3 - 4096*a^6*c^9*d^6 - 4096*a^9*c^6*e^6 - b^12*c^3*d^6 - a^3*b^12*e^6 + 24*a*b^10*c^4*d^6 + 24*a^4*b^10*c*e^6 - 3*a*b^14*d^2*e^4 + 3*a^2*b^13*d*e^5 + 3*b^13*c^2*d^5*e - 3*b^14*c*d^4*e^2 - 240*a^2*b^8*c^5*d^6 + 1280*a^3*b^6*c^6*d^6 - 3840*a^4*b^4*c^7*d^6 + 6144*a^5*b^2*c^8*d^6 - 240*a^5*b^8*c^2*e^6 + 1280*a^6*b^6*c^3*e^6 - 3840*a^7*b^4*c^4*e^6 + 6144*a^8*b^2*c^5*e^6 - 12288*a^7*c^8*d^4*e^2 - 12288*a^8*c^7*d^2*e^4 - 648*a^2*b^10*c^3*d^4*e^2 + 96*a^2*b^11*c^2*d^3*e^3 + 3120*a^3*b^8*c^4*d^4*e^2 + 160*a^3*b^9*c^3*d^3*e^3 - 648*a^3*b^10*c^2*d^2*e^4 - 7680*a^4*b^6*c^5*d^4*e^2 - 3840*a^4*b^7*c^4*d^3*e^3 + 3120*a^4*b^8*c^3*d^2*e^4 + 6912*a^5*b^4*c^6*d^4*e^2 + 16896*a^5*b^5*c^5*d^3*e^3 - 7680*a^5*b^6*c^4*d^2*e^4 + 6144*a^6*b^2*c^7*d^4*e^2 - 32768*a^6*b^3*c^6*d^3*e^3 + 6912*a^6*b^4*c^5*d^2*e^4 + 6144*a^7*b^2*c^6*d^2*e^4 - 72*a*b^11*c^3*d^5*e - 18*a*b^13*c*d^3*e^3 - 72*a^3*b^11*c*d*e^5 + 12288*a^6*b*c^8*d^5*e + 12288*a^8*b*c^6*d*e^5 + 69*a*b^12*c^2*d^4*e^2 + 720*a^2*b^9*c^4*d^5*e + 69*a^2*b^12*c*d^2*e^4 - 3840*a^3*b^7*c^5*d^5*e + 11520*a^4*b^5*c^6*d^5*e + 720*a^4*b^9*c^2*d*e^5 - 18432*a^5*b^3*c^7*d^5*e - 3840*a^5*b^7*c^3*d*e^5 + 11520*a^6*b^5*c^4*d*e^5 + 24576*a^7*b*c^7*d^3*e^3 - 18432*a^7*b^3*c^5*d*e^5)))^(1/2)*2i","B"
1627,1,84064,673,11.821424,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^3),x)","\frac{\frac{3\,{\left(d+e\,x\right)}^{3/2}\,\left(6\,a^2\,c^2\,e^6+2\,a\,b^2\,c\,e^6-20\,a\,b\,c^2\,d\,e^5+20\,a\,c^3\,d^2\,e^4-b^4\,e^6+6\,b^3\,c\,d\,e^5-8\,b^2\,c^2\,d^2\,e^4+4\,b\,c^3\,d^3\,e^3-2\,c^4\,d^4\,e^2\right)}{4\,\left(4\,a\,c-b^2\right)\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}-\frac{\sqrt{d+e\,x}\,\left(5\,b^3\,e^5-11\,b^2\,c\,d\,e^4+3\,b\,c^2\,d^2\,e^3-19\,a\,b\,c\,e^5-2\,c^3\,d^3\,e^2+38\,a\,c^2\,d\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}+\frac{3\,\left(b\,e-2\,c\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(-2\,b^2\,c\,e^4+b\,c^2\,d\,e^3-c^3\,d^2\,e^2+7\,a\,c^2\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}+\frac{c\,{\left(d+e\,x\right)}^{7/2}\,\left(-3\,b^2\,c\,e^4+2\,b\,c^2\,d\,e^3-2\,c^3\,d^2\,e^2+10\,a\,c^2\,e^4\right)}{4\,\left(4\,a\,c-b^2\right)\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^2}}{c^2\,{\left(d+e\,x\right)}^4-\left(d+e\,x\right)\,\left(2\,b^2\,d\,e^2-6\,b\,c\,d^2\,e-2\,a\,b\,e^3+4\,c^2\,d^3+4\,a\,c\,d\,e^2\right)-\left(4\,c^2\,d-2\,b\,c\,e\right)\,{\left(d+e\,x\right)}^3+{\left(d+e\,x\right)}^2\,\left(b^2\,e^2-6\,b\,c\,d\,e+6\,c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,e^4+c^2\,d^4+b^2\,d^2\,e^2-2\,a\,b\,d\,e^3-2\,b\,c\,d^3\,e+2\,a\,c\,d^2\,e^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{-53248\,a^6\,b\,c^6\,e^{11}+106496\,a^6\,c^7\,d\,e^{10}+52224\,a^5\,b^3\,c^5\,e^{11}+6144\,a^5\,b^2\,c^6\,d\,e^{10}-331776\,a^5\,b\,c^7\,d^2\,e^9+221184\,a^5\,c^8\,d^3\,e^8-19200\,a^4\,b^5\,c^4\,e^{11}-69120\,a^4\,b^4\,c^5\,d\,e^{10}+261120\,a^4\,b^3\,c^6\,d^2\,e^9+30720\,a^4\,b^2\,c^7\,d^3\,e^8-307200\,a^4\,b\,c^8\,d^4\,e^7+122880\,a^4\,c^9\,d^5\,e^6+3136\,a^3\,b^7\,c^3\,e^{11}+32896\,a^3\,b^6\,c^4\,d\,e^{10}-59136\,a^3\,b^5\,c^5\,d^2\,e^9-151040\,a^3\,b^4\,c^6\,d^3\,e^8+271360\,a^3\,b^3\,c^7\,d^4\,e^7-79872\,a^3\,b^2\,c^8\,d^5\,e^6-28672\,a^3\,b\,c^9\,d^6\,e^5+8192\,a^3\,c^{10}\,d^7\,e^4-192\,a^2\,b^9\,c^2\,e^{11}-5952\,a^2\,b^8\,c^3\,d\,e^{10}-1728\,a^2\,b^7\,c^4\,d^2\,e^9+67200\,a^2\,b^6\,c^5\,d^3\,e^8-88320\,a^2\,b^5\,c^6\,d^4\,e^7+13824\,a^2\,b^4\,c^7\,d^5\,e^6+21504\,a^2\,b^3\,c^8\,d^6\,e^5-6144\,a^2\,b^2\,c^9\,d^7\,e^4+384\,a\,b^{10}\,c^2\,d\,e^{10}+2112\,a\,b^9\,c^3\,d^2\,e^9-11520\,a\,b^8\,c^4\,d^3\,e^8+12480\,a\,b^7\,c^5\,d^4\,e^7+384\,a\,b^6\,c^6\,d^5\,e^6-5376\,a\,b^5\,c^7\,d^6\,e^5+1536\,a\,b^4\,c^8\,d^7\,e^4-192\,b^{11}\,c^2\,d^2\,e^9+704\,b^{10}\,c^3\,d^3\,e^8-640\,b^9\,c^4\,d^4\,e^7-192\,b^8\,c^5\,d^5\,e^6+448\,b^7\,c^6\,d^6\,e^5-128\,b^6\,c^7\,d^7\,e^4}{64\,\left(64\,a^7\,c^3\,e^8-48\,a^6\,b^2\,c^2\,e^8-256\,a^6\,b\,c^3\,d\,e^7+256\,a^6\,c^4\,d^2\,e^6+12\,a^5\,b^4\,c\,e^8+192\,a^5\,b^3\,c^2\,d\,e^7+192\,a^5\,b^2\,c^3\,d^2\,e^6-768\,a^5\,b\,c^4\,d^3\,e^5+384\,a^5\,c^5\,d^4\,e^4-a^4\,b^6\,e^8-48\,a^4\,b^5\,c\,d\,e^7-240\,a^4\,b^4\,c^2\,d^2\,e^6+320\,a^4\,b^3\,c^3\,d^3\,e^5+480\,a^4\,b^2\,c^4\,d^4\,e^4-768\,a^4\,b\,c^5\,d^5\,e^3+256\,a^4\,c^6\,d^6\,e^2+4\,a^3\,b^7\,d\,e^7+68\,a^3\,b^6\,c\,d^2\,e^6+48\,a^3\,b^5\,c^2\,d^3\,e^5-440\,a^3\,b^4\,c^3\,d^4\,e^4+320\,a^3\,b^3\,c^4\,d^5\,e^3+192\,a^3\,b^2\,c^5\,d^6\,e^2-256\,a^3\,b\,c^6\,d^7\,e+64\,a^3\,c^7\,d^8-6\,a^2\,b^8\,d^2\,e^6-36\,a^2\,b^7\,c\,d^3\,e^5+90\,a^2\,b^6\,c^2\,d^4\,e^4+48\,a^2\,b^5\,c^3\,d^5\,e^3-240\,a^2\,b^4\,c^4\,d^6\,e^2+192\,a^2\,b^3\,c^5\,d^7\,e-48\,a^2\,b^2\,c^6\,d^8+4\,a\,b^9\,d^3\,e^5-36\,a\,b^7\,c^2\,d^5\,e^3+68\,a\,b^6\,c^3\,d^6\,e^2-48\,a\,b^5\,c^4\,d^7\,e+12\,a\,b^4\,c^5\,d^8-b^{10}\,d^4\,e^4+4\,b^9\,c\,d^5\,e^3-6\,b^8\,c^2\,d^6\,e^2+4\,b^7\,c^3\,d^7\,e-b^6\,c^4\,d^8\right)}-\frac{\sqrt{d+e\,x}\,\sqrt{\frac{53760\,a^6\,c^7\,d\,e^8-9\,b^4\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-26880\,a^6\,b\,c^6\,e^9-9\,b^{13}\,e^9-2077\,a^2\,b^9\,c^2\,e^9+10656\,a^3\,b^7\,c^3\,e^9-30240\,a^4\,b^5\,c^4\,e^9+44800\,a^5\,b^3\,c^5\,e^9-25\,a^2\,c^2\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-2048\,a^3\,c^{10}\,d^7\,e^2-17920\,a^4\,c^9\,d^5\,e^4-35840\,a^5\,c^8\,d^3\,e^6+32\,b^6\,c^7\,d^7\,e^2-112\,b^7\,c^6\,d^6\,e^3+98\,b^8\,c^5\,d^5\,e^4+35\,b^9\,c^4\,d^4\,e^5-70\,b^{10}\,c^3\,d^3\,e^6+14\,b^{11}\,c^2\,d^2\,e^7+35\,c^4\,d^4\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+213\,a\,b^{11}\,c\,e^9+21\,b^{12}\,c\,d\,e^8+1536\,a^2\,b^2\,c^9\,d^7\,e^2-5376\,a^2\,b^3\,c^8\,d^6\,e^3+1344\,a^2\,b^4\,c^7\,d^5\,e^4+10080\,a^2\,b^5\,c^6\,d^4\,e^5-7840\,a^2\,b^6\,c^5\,d^3\,e^6-1008\,a^2\,b^7\,c^4\,d^2\,e^7+7168\,a^3\,b^2\,c^8\,d^5\,e^4-35840\,a^3\,b^3\,c^7\,d^4\,e^5+17920\,a^3\,b^4\,c^6\,d^3\,e^6+12544\,a^3\,b^5\,c^5\,d^2\,e^7-44800\,a^4\,b^3\,c^6\,d^2\,e^7+14\,b^2\,c^2\,d^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,a\,b^2\,c\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-532\,a\,b^{10}\,c^2\,d\,e^8+21\,b^3\,c\,d\,e^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-384\,a\,b^4\,c^8\,d^7\,e^2+1344\,a\,b^5\,c^7\,d^6\,e^3-896\,a\,b^6\,c^6\,d^5\,e^4-1120\,a\,b^7\,c^5\,d^4\,e^5+1260\,a\,b^8\,c^4\,d^3\,e^6-98\,a\,b^9\,c^3\,d^2\,e^7+5418\,a^2\,b^8\,c^3\,d\,e^8+7168\,a^3\,b\,c^9\,d^6\,e^3-28224\,a^3\,b^6\,c^4\,d\,e^8+44800\,a^4\,b\,c^8\,d^4\,e^5+78400\,a^4\,b^4\,c^5\,d\,e^8+53760\,a^5\,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b^{11}\,c^5\,d^9\,e-24\,a\,b^{10}\,c^6\,d^{10}-b^{17}\,d^5\,e^5+5\,b^{16}\,c\,d^6\,e^4-10\,b^{15}\,c^2\,d^7\,e^3+10\,b^{14}\,c^3\,d^8\,e^2-5\,b^{13}\,c^4\,d^9\,e+b^{12}\,c^5\,d^{10}\right)}}}\right)\,\sqrt{-\frac{9\,b^{13}\,e^9-9\,b^4\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6\,e^9-53760\,a^6\,c^7\,d\,e^8+2077\,a^2\,b^9\,c^2\,e^9-10656\,a^3\,b^7\,c^3\,e^9+30240\,a^4\,b^5\,c^4\,e^9-44800\,a^5\,b^3\,c^5\,e^9-25\,a^2\,c^2\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+2048\,a^3\,c^{10}\,d^7\,e^2+17920\,a^4\,c^9\,d^5\,e^4+35840\,a^5\,c^8\,d^3\,e^6-32\,b^6\,c^7\,d^7\,e^2+112\,b^7\,c^6\,d^6\,e^3-98\,b^8\,c^5\,d^5\,e^4-35\,b^9\,c^4\,d^4\,e^5+70\,b^{10}\,c^3\,d^3\,e^6-14\,b^{11}\,c^2\,d^2\,e^7+35\,c^4\,d^4\,e^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c\,e^9-21\,b^{12}\,c\,d\,e^8-1536\,a^2\,b^2\,c^9\,d^7\,e^2+5376\,a^2\,b^3\,c^8\,d^6\,e^3-1344\,a^2\,b^4\,c^7\,d^5\,e^4-10080\,a^2\,b^5\,c^6\,d^4\,e^5+7840\,a^2\,b^6\,c^5\,d^3\,e^6+1008\,a^2\,b^7\,c^4\,d^2\,e^7-7168\,a^3\,b^2\,c^8\,d^5\,e^4+35840\,a^3\,b^3\,c^7\,d^4\,e^5-17920\,a^3\,b^4\,c^6\,d^3\,e^6-12544\,a^3\,b^5\,c^5\,d^2\,e^7+44800\,a^4\,b^3\,c^6\,d^2\,e^7+14\,b^2\,c^2\,d^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+51\,a\,b^2\,c\,e^9\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+532\,a\,b^{10}\,c^2\,d\,e^8+21\,b^3\,c\,d\,e^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+384\,a\,b^4\,c^8\,d^7\,e^2-1344\,a\,b^5\,c^7\,d^6\,e^3+896\,a\,b^6\,c^6\,d^5\,e^4+1120\,a\,b^7\,c^5\,d^4\,e^5-1260\,a\,b^8\,c^4\,d^3\,e^6+98\,a\,b^9\,c^3\,d^2\,e^7-5418\,a^2\,b^8\,c^3\,d\,e^8-7168\,a^3\,b\,c^9\,d^6\,e^3+28224\,a^3\,b^6\,c^4\,d\,e^8-44800\,a^4\,b\,c^8\,d^4\,e^5-78400\,a^4\,b^4\,c^5\,d\,e^8-53760\,a^5\,b\,c^7\,d^2\,e^7+107520\,a^5\,b^2\,c^6\,d\,e^8+154\,a\,c^3\,d^2\,e^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-70\,b\,c^3\,d^3\,e^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-154\,a\,b\,c^2\,d\,e^8\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{128\,\left(4096\,a^{11}\,c^6\,e^{10}-6144\,a^{10}\,b^2\,c^5\,e^{10}-20480\,a^{10}\,b\,c^6\,d\,e^9+20480\,a^{10}\,c^7\,d^2\,e^8+3840\,a^9\,b^4\,c^4\,e^{10}+30720\,a^9\,b^3\,c^5\,d\,e^9+10240\,a^9\,b^2\,c^6\,d^2\,e^8-81920\,a^9\,b\,c^7\,d^3\,e^7+40960\,a^9\,c^8\,d^4\,e^6-1280\,a^8\,b^6\,c^3\,e^{10}-19200\,a^8\,b^5\,c^4\,d\,e^9-42240\,a^8\,b^4\,c^5\,d^2\,e^8+81920\,a^8\,b^3\,c^6\,d^3\,e^7+61440\,a^8\,b^2\,c^7\,d^4\,e^6-122880\,a^8\,b\,c^8\,d^5\,e^5+40960\,a^8\,c^9\,d^6\,e^4+240\,a^7\,b^8\,c^2\,e^{10}+6400\,a^7\,b^7\,c^3\,d\,e^9+32000\,a^7\,b^6\,c^4\,d^2\,e^8-15360\,a^7\,b^5\,c^5\,d^3\,e^7-125440\,a^7\,b^4\,c^6\,d^4\,e^6+102400\,a^7\,b^3\,c^7\,d^5\,e^5+61440\,a^7\,b^2\,c^8\,d^6\,e^4-81920\,a^7\,b\,c^9\,d^7\,e^3+20480\,a^7\,c^{10}\,d^8\,e^2-24\,a^6\,b^{10}\,c\,e^{10}-1200\,a^6\,b^9\,c^2\,d\,e^9-11600\,a^6\,b^8\,c^3\,d^2\,e^8-12800\,a^6\,b^7\,c^4\,d^3\,e^7+71680\,a^6\,b^6\,c^5\,d^4\,e^6+3584\,a^6\,b^5\,c^6\,d^5\,e^5-125440\,a^6\,b^4\,c^7\,d^6\,e^4+81920\,a^6\,b^3\,c^8\,d^7\,e^3+10240\,a^6\,b^2\,c^9\,d^8\,e^2-20480\,a^6\,b\,c^{10}\,d^9\,e+4096\,a^6\,c^{11}\,d^{10}+a^5\,b^{12}\,e^{10}+120\,a^5\,b^{11}\,c\,d\,e^9+2280\,a^5\,b^{10}\,c^2\,d^2\,e^8+8000\,a^5\,b^9\,c^3\,d^3\,e^7-16800\,a^5\,b^8\,c^4\,d^4\,e^6-32256\,a^5\,b^7\,c^5\,d^5\,e^5+71680\,a^5\,b^6\,c^6\,d^6\,e^4-15360\,a^5\,b^5\,c^7\,d^7\,e^3-42240\,a^5\,b^4\,c^8\,d^8\,e^2+30720\,a^5\,b^3\,c^9\,d^9\,e-6144\,a^5\,b^2\,c^{10}\,d^{10}-5\,a^4\,b^{13}\,d\,e^9-235\,a^4\,b^{12}\,c\,d^2\,e^8-1920\,a^4\,b^{11}\,c^2\,d^3\,e^7+560\,a^4\,b^{10}\,c^3\,d^4\,e^6+14560\,a^4\,b^9\,c^4\,d^5\,e^5-16800\,a^4\,b^8\,c^5\,d^6\,e^4-12800\,a^4\,b^7\,c^6\,d^7\,e^3+32000\,a^4\,b^6\,c^7\,d^8\,e^2-19200\,a^4\,b^5\,c^8\,d^9\,e+3840\,a^4\,b^4\,c^9\,d^{10}+10\,a^3\,b^{14}\,d^2\,e^8+220\,a^3\,b^{13}\,c\,d^3\,e^7+490\,a^3\,b^{12}\,c^2\,d^4\,e^6-2800\,a^3\,b^{11}\,c^3\,d^5\,e^5+560\,a^3\,b^{10}\,c^4\,d^6\,e^4+8000\,a^3\,b^9\,c^5\,d^7\,e^3-11600\,a^3\,b^8\,c^6\,d^8\,e^2+6400\,a^3\,b^7\,c^7\,d^9\,e-1280\,a^3\,b^6\,c^8\,d^{10}-10\,a^2\,b^{15}\,d^3\,e^7-90\,a^2\,b^{14}\,c\,d^4\,e^6+210\,a^2\,b^{13}\,c^2\,d^5\,e^5+490\,a^2\,b^{12}\,c^3\,d^6\,e^4-1920\,a^2\,b^{11}\,c^4\,d^7\,e^3+2280\,a^2\,b^{10}\,c^5\,d^8\,e^2-1200\,a^2\,b^9\,c^6\,d^9\,e+240\,a^2\,b^8\,c^7\,d^{10}+5\,a\,b^{16}\,d^4\,e^6+4\,a\,b^{15}\,c\,d^5\,e^5-90\,a\,b^{14}\,c^2\,d^6\,e^4+220\,a\,b^{13}\,c^3\,d^7\,e^3-235\,a\,b^{12}\,c^4\,d^8\,e^2+120\,a\,b^{11}\,c^5\,d^9\,e-24\,a\,b^{10}\,c^6\,d^{10}-b^{17}\,d^5\,e^5+5\,b^{16}\,c\,d^6\,e^4-10\,b^{15}\,c^2\,d^7\,e^3+10\,b^{14}\,c^3\,d^8\,e^2-5\,b^{13}\,c^4\,d^9\,e+b^{12}\,c^5\,d^{10}\right)}}\,2{}\mathrm{i}","Not used",1,"((3*(d + e*x)^(3/2)*(6*a^2*c^2*e^6 - b^4*e^6 - 2*c^4*d^4*e^2 + 20*a*c^3*d^2*e^4 + 4*b*c^3*d^3*e^3 - 8*b^2*c^2*d^2*e^4 + 2*a*b^2*c*e^6 + 6*b^3*c*d*e^5 - 20*a*b*c^2*d*e^5))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)^2) - ((d + e*x)^(1/2)*(5*b^3*e^5 - 2*c^3*d^3*e^2 + 3*b*c^2*d^2*e^3 - 19*a*b*c*e^5 + 38*a*c^2*d*e^4 - 11*b^2*c*d*e^4))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)) + (3*(b*e - 2*c*d)*(d + e*x)^(5/2)*(7*a*c^2*e^4 - 2*b^2*c*e^4 - c^3*d^2*e^2 + b*c^2*d*e^3))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)^2) + (c*(d + e*x)^(7/2)*(10*a*c^2*e^4 - 3*b^2*c*e^4 - 2*c^3*d^2*e^2 + 2*b*c^2*d*e^3))/(4*(4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)^2))/(c^2*(d + e*x)^4 - (d + e*x)*(4*c^2*d^3 + 2*b^2*d*e^2 - 2*a*b*e^3 + 4*a*c*d*e^2 - 6*b*c*d^2*e) - (4*c^2*d - 2*b*c*e)*(d + e*x)^3 + (d + e*x)^2*(b^2*e^2 + 6*c^2*d^2 + 2*a*c*e^2 - 6*b*c*d*e) + a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - atan(((((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) - ((d + e*x)^(1/2)*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i - (((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + ((d + e*x)^(1/2)*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i)/((((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) - ((d + e*x)^(1/2)*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - (1000*a^2*c^7*e^10 + 63*b^4*c^5*e^10 - 32*c^9*d^4*e^6 - 510*a*b^2*c^6*e^10 - 40*a*c^8*d^2*e^8 + 64*b*c^8*d^3*e^7 + 6*b^3*c^6*d*e^9 - 38*b^2*c^7*d^2*e^8 + 40*a*b*c^7*d*e^9)/(32*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + (((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + ((d + e*x)^(1/2)*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)))*((53760*a^6*c^7*d*e^8 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) - 26880*a^6*b*c^6*e^9 - 9*b^13*e^9 - 2077*a^2*b^9*c^2*e^9 + 10656*a^3*b^7*c^3*e^9 - 30240*a^4*b^5*c^4*e^9 + 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) - 2048*a^3*c^10*d^7*e^2 - 17920*a^4*c^9*d^5*e^4 - 35840*a^5*c^8*d^3*e^6 + 32*b^6*c^7*d^7*e^2 - 112*b^7*c^6*d^6*e^3 + 98*b^8*c^5*d^5*e^4 + 35*b^9*c^4*d^4*e^5 - 70*b^10*c^3*d^3*e^6 + 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) + 213*a*b^11*c*e^9 + 21*b^12*c*d*e^8 + 1536*a^2*b^2*c^9*d^7*e^2 - 5376*a^2*b^3*c^8*d^6*e^3 + 1344*a^2*b^4*c^7*d^5*e^4 + 10080*a^2*b^5*c^6*d^4*e^5 - 7840*a^2*b^6*c^5*d^3*e^6 - 1008*a^2*b^7*c^4*d^2*e^7 + 7168*a^3*b^2*c^8*d^5*e^4 - 35840*a^3*b^3*c^7*d^4*e^5 + 17920*a^3*b^4*c^6*d^3*e^6 + 12544*a^3*b^5*c^5*d^2*e^7 - 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) - 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) - 384*a*b^4*c^8*d^7*e^2 + 1344*a*b^5*c^7*d^6*e^3 - 896*a*b^6*c^6*d^5*e^4 - 1120*a*b^7*c^5*d^4*e^5 + 1260*a*b^8*c^4*d^3*e^6 - 98*a*b^9*c^3*d^2*e^7 + 5418*a^2*b^8*c^3*d*e^8 + 7168*a^3*b*c^9*d^6*e^3 - 28224*a^3*b^6*c^4*d*e^8 + 44800*a^4*b*c^8*d^4*e^5 + 78400*a^4*b^4*c^5*d*e^8 + 53760*a^5*b*c^7*d^2*e^7 - 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*2i - atan(((((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) - ((d + e*x)^(1/2)*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i - (((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + ((d + e*x)^(1/2)*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*1i)/((((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) - ((d + e*x)^(1/2)*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) - (1000*a^2*c^7*e^10 + 63*b^4*c^5*e^10 - 32*c^9*d^4*e^6 - 510*a*b^2*c^6*e^10 - 40*a*c^8*d^2*e^8 + 64*b*c^8*d^3*e^7 + 6*b^3*c^6*d*e^9 - 38*b^2*c^7*d^2*e^8 + 40*a*b*c^7*d*e^9)/(32*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + (((106496*a^6*c^7*d*e^10 - 53248*a^6*b*c^6*e^11 - 192*a^2*b^9*c^2*e^11 + 3136*a^3*b^7*c^3*e^11 - 19200*a^4*b^5*c^4*e^11 + 52224*a^5*b^3*c^5*e^11 + 8192*a^3*c^10*d^7*e^4 + 122880*a^4*c^9*d^5*e^6 + 221184*a^5*c^8*d^3*e^8 - 128*b^6*c^7*d^7*e^4 + 448*b^7*c^6*d^6*e^5 - 192*b^8*c^5*d^5*e^6 - 640*b^9*c^4*d^4*e^7 + 704*b^10*c^3*d^3*e^8 - 192*b^11*c^2*d^2*e^9 - 6144*a^2*b^2*c^9*d^7*e^4 + 21504*a^2*b^3*c^8*d^6*e^5 + 13824*a^2*b^4*c^7*d^5*e^6 - 88320*a^2*b^5*c^6*d^4*e^7 + 67200*a^2*b^6*c^5*d^3*e^8 - 1728*a^2*b^7*c^4*d^2*e^9 - 79872*a^3*b^2*c^8*d^5*e^6 + 271360*a^3*b^3*c^7*d^4*e^7 - 151040*a^3*b^4*c^6*d^3*e^8 - 59136*a^3*b^5*c^5*d^2*e^9 + 30720*a^4*b^2*c^7*d^3*e^8 + 261120*a^4*b^3*c^6*d^2*e^9 + 384*a*b^10*c^2*d*e^10 + 1536*a*b^4*c^8*d^7*e^4 - 5376*a*b^5*c^7*d^6*e^5 + 384*a*b^6*c^6*d^5*e^6 + 12480*a*b^7*c^5*d^4*e^7 - 11520*a*b^8*c^4*d^3*e^8 + 2112*a*b^9*c^3*d^2*e^9 - 5952*a^2*b^8*c^3*d*e^10 - 28672*a^3*b*c^9*d^6*e^5 + 32896*a^3*b^6*c^4*d*e^10 - 307200*a^4*b*c^8*d^4*e^7 - 69120*a^4*b^4*c^5*d*e^10 - 331776*a^5*b*c^7*d^2*e^9 + 6144*a^5*b^2*c^6*d*e^10)/(64*(64*a^3*c^7*d^8 - a^4*b^6*e^8 + 64*a^7*c^3*e^8 - b^6*c^4*d^8 - b^10*d^4*e^4 + 12*a*b^4*c^5*d^8 + 12*a^5*b^4*c*e^8 + 4*a*b^9*d^3*e^5 + 4*a^3*b^7*d*e^7 + 4*b^7*c^3*d^7*e + 4*b^9*c*d^5*e^3 - 48*a^2*b^2*c^6*d^8 - 48*a^6*b^2*c^2*e^8 - 6*a^2*b^8*d^2*e^6 + 256*a^4*c^6*d^6*e^2 + 384*a^5*c^5*d^4*e^4 + 256*a^6*c^4*d^2*e^6 - 6*b^8*c^2*d^6*e^2 - 240*a^2*b^4*c^4*d^6*e^2 + 48*a^2*b^5*c^3*d^5*e^3 + 90*a^2*b^6*c^2*d^4*e^4 + 192*a^3*b^2*c^5*d^6*e^2 + 320*a^3*b^3*c^4*d^5*e^3 - 440*a^3*b^4*c^3*d^4*e^4 + 48*a^3*b^5*c^2*d^3*e^5 + 480*a^4*b^2*c^4*d^4*e^4 + 320*a^4*b^3*c^3*d^3*e^5 - 240*a^4*b^4*c^2*d^2*e^6 + 192*a^5*b^2*c^3*d^2*e^6 - 48*a*b^5*c^4*d^7*e - 256*a^3*b*c^6*d^7*e - 48*a^4*b^5*c*d*e^7 - 256*a^6*b*c^3*d*e^7 + 68*a*b^6*c^3*d^6*e^2 - 36*a*b^7*c^2*d^5*e^3 + 192*a^2*b^3*c^5*d^7*e - 36*a^2*b^7*c*d^3*e^5 + 68*a^3*b^6*c*d^2*e^6 - 768*a^4*b*c^5*d^5*e^3 - 768*a^5*b*c^4*d^3*e^5 + 192*a^5*b^3*c^2*d*e^7)) + ((d + e*x)^(1/2)*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*(8192*a^7*c^6*d*e^10 - 4096*a^7*b*c^5*e^11 + 64*a^4*b^7*c^2*e^11 - 768*a^5*b^5*c^3*e^11 + 3072*a^6*b^3*c^4*e^11 + 8192*a^3*c^10*d^9*e^2 + 32768*a^4*c^9*d^7*e^4 + 49152*a^5*c^8*d^5*e^6 + 32768*a^6*c^7*d^3*e^8 - 128*b^6*c^7*d^9*e^2 + 576*b^7*c^6*d^8*e^3 - 1024*b^8*c^5*d^7*e^4 + 896*b^9*c^4*d^6*e^5 - 384*b^10*c^3*d^5*e^6 + 64*b^11*c^2*d^4*e^7 - 6144*a^2*b^2*c^9*d^9*e^2 + 27648*a^2*b^3*c^8*d^8*e^3 - 43008*a^2*b^4*c^7*d^7*e^4 + 21504*a^2*b^5*c^6*d^6*e^5 + 8448*a^2*b^6*c^5*d^5*e^6 - 10368*a^2*b^7*c^4*d^4*e^7 + 1536*a^2*b^8*c^3*d^3*e^8 + 384*a^2*b^9*c^2*d^2*e^9 + 40960*a^3*b^2*c^8*d^7*e^4 + 28672*a^3*b^3*c^7*d^6*e^5 - 76800*a^3*b^4*c^6*d^5*e^6 + 34304*a^3*b^5*c^5*d^4*e^7 + 5632*a^3*b^6*c^4*d^3*e^8 - 3840*a^3*b^7*c^3*d^2*e^9 + 110592*a^4*b^2*c^7*d^5*e^6 + 10240*a^4*b^3*c^6*d^4*e^7 - 51200*a^4*b^4*c^5*d^3*e^8 + 9216*a^4*b^5*c^4*d^2*e^9 + 73728*a^5*b^2*c^6*d^3*e^8 + 12288*a^5*b^3*c^5*d^2*e^9 + 1536*a*b^4*c^8*d^9*e^2 - 6912*a*b^5*c^7*d^8*e^3 + 11776*a*b^6*c^6*d^7*e^4 - 8960*a*b^7*c^5*d^6*e^5 + 2304*a*b^8*c^4*d^5*e^6 + 512*a*b^9*c^3*d^4*e^7 - 256*a*b^10*c^2*d^3*e^8 - 36864*a^3*b*c^9*d^8*e^3 - 256*a^3*b^8*c^2*d*e^10 - 114688*a^4*b*c^8*d^6*e^5 + 2944*a^4*b^6*c^3*d*e^10 - 122880*a^5*b*c^7*d^4*e^7 - 10752*a^5*b^4*c^4*d*e^10 - 49152*a^6*b*c^6*d^2*e^9 + 10240*a^6*b^2*c^5*d*e^10))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2) + ((d + e*x)^(1/2)*(9*b^6*c^3*e^10 - 200*a^3*c^6*e^10 + 32*c^9*d^6*e^4 - 96*a*b^4*c^4*e^10 + 248*a*c^8*d^4*e^6 - 96*b*c^8*d^5*e^5 - 12*b^5*c^4*d*e^9 + 298*a^2*b^2*c^5*e^10 + 592*a^2*c^7*d^2*e^8 + 58*b^2*c^7*d^4*e^6 + 44*b^3*c^6*d^3*e^7 - 26*b^4*c^5*d^2*e^8 - 496*a*b*c^7*d^3*e^7 + 172*a*b^3*c^5*d*e^9 - 592*a^2*b*c^6*d*e^9 + 76*a*b^2*c^6*d^2*e^8))/(8*(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)))*(-(9*b^13*e^9 - 9*b^4*e^9*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6*e^9 - 53760*a^6*c^7*d*e^8 + 2077*a^2*b^9*c^2*e^9 - 10656*a^3*b^7*c^3*e^9 + 30240*a^4*b^5*c^4*e^9 - 44800*a^5*b^3*c^5*e^9 - 25*a^2*c^2*e^9*(-(4*a*c - b^2)^9)^(1/2) + 2048*a^3*c^10*d^7*e^2 + 17920*a^4*c^9*d^5*e^4 + 35840*a^5*c^8*d^3*e^6 - 32*b^6*c^7*d^7*e^2 + 112*b^7*c^6*d^6*e^3 - 98*b^8*c^5*d^5*e^4 - 35*b^9*c^4*d^4*e^5 + 70*b^10*c^3*d^3*e^6 - 14*b^11*c^2*d^2*e^7 + 35*c^4*d^4*e^5*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c*e^9 - 21*b^12*c*d*e^8 - 1536*a^2*b^2*c^9*d^7*e^2 + 5376*a^2*b^3*c^8*d^6*e^3 - 1344*a^2*b^4*c^7*d^5*e^4 - 10080*a^2*b^5*c^6*d^4*e^5 + 7840*a^2*b^6*c^5*d^3*e^6 + 1008*a^2*b^7*c^4*d^2*e^7 - 7168*a^3*b^2*c^8*d^5*e^4 + 35840*a^3*b^3*c^7*d^4*e^5 - 17920*a^3*b^4*c^6*d^3*e^6 - 12544*a^3*b^5*c^5*d^2*e^7 + 44800*a^4*b^3*c^6*d^2*e^7 + 14*b^2*c^2*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) + 51*a*b^2*c*e^9*(-(4*a*c - b^2)^9)^(1/2) + 532*a*b^10*c^2*d*e^8 + 21*b^3*c*d*e^8*(-(4*a*c - b^2)^9)^(1/2) + 384*a*b^4*c^8*d^7*e^2 - 1344*a*b^5*c^7*d^6*e^3 + 896*a*b^6*c^6*d^5*e^4 + 1120*a*b^7*c^5*d^4*e^5 - 1260*a*b^8*c^4*d^3*e^6 + 98*a*b^9*c^3*d^2*e^7 - 5418*a^2*b^8*c^3*d*e^8 - 7168*a^3*b*c^9*d^6*e^3 + 28224*a^3*b^6*c^4*d*e^8 - 44800*a^4*b*c^8*d^4*e^5 - 78400*a^4*b^4*c^5*d*e^8 - 53760*a^5*b*c^7*d^2*e^7 + 107520*a^5*b^2*c^6*d*e^8 + 154*a*c^3*d^2*e^7*(-(4*a*c - b^2)^9)^(1/2) - 70*b*c^3*d^3*e^6*(-(4*a*c - b^2)^9)^(1/2) - 154*a*b*c^2*d*e^8*(-(4*a*c - b^2)^9)^(1/2))/(128*(a^5*b^12*e^10 + 4096*a^6*c^11*d^10 + 4096*a^11*c^6*e^10 + b^12*c^5*d^10 - b^17*d^5*e^5 - 24*a*b^10*c^6*d^10 - 24*a^6*b^10*c*e^10 + 5*a*b^16*d^4*e^6 - 5*a^4*b^13*d*e^9 - 5*b^13*c^4*d^9*e + 5*b^16*c*d^6*e^4 + 240*a^2*b^8*c^7*d^10 - 1280*a^3*b^6*c^8*d^10 + 3840*a^4*b^4*c^9*d^10 - 6144*a^5*b^2*c^10*d^10 + 240*a^7*b^8*c^2*e^10 - 1280*a^8*b^6*c^3*e^10 + 3840*a^9*b^4*c^4*e^10 - 6144*a^10*b^2*c^5*e^10 - 10*a^2*b^15*d^3*e^7 + 10*a^3*b^14*d^2*e^8 + 20480*a^7*c^10*d^8*e^2 + 40960*a^8*c^9*d^6*e^4 + 40960*a^9*c^8*d^4*e^6 + 20480*a^10*c^7*d^2*e^8 + 10*b^14*c^3*d^8*e^2 - 10*b^15*c^2*d^7*e^3 + 2280*a^2*b^10*c^5*d^8*e^2 - 1920*a^2*b^11*c^4*d^7*e^3 + 490*a^2*b^12*c^3*d^6*e^4 + 210*a^2*b^13*c^2*d^5*e^5 - 11600*a^3*b^8*c^6*d^8*e^2 + 8000*a^3*b^9*c^5*d^7*e^3 + 560*a^3*b^10*c^4*d^6*e^4 - 2800*a^3*b^11*c^3*d^5*e^5 + 490*a^3*b^12*c^2*d^4*e^6 + 32000*a^4*b^6*c^7*d^8*e^2 - 12800*a^4*b^7*c^6*d^7*e^3 - 16800*a^4*b^8*c^5*d^6*e^4 + 14560*a^4*b^9*c^4*d^5*e^5 + 560*a^4*b^10*c^3*d^4*e^6 - 1920*a^4*b^11*c^2*d^3*e^7 - 42240*a^5*b^4*c^8*d^8*e^2 - 15360*a^5*b^5*c^7*d^7*e^3 + 71680*a^5*b^6*c^6*d^6*e^4 - 32256*a^5*b^7*c^5*d^5*e^5 - 16800*a^5*b^8*c^4*d^4*e^6 + 8000*a^5*b^9*c^3*d^3*e^7 + 2280*a^5*b^10*c^2*d^2*e^8 + 10240*a^6*b^2*c^9*d^8*e^2 + 81920*a^6*b^3*c^8*d^7*e^3 - 125440*a^6*b^4*c^7*d^6*e^4 + 3584*a^6*b^5*c^6*d^5*e^5 + 71680*a^6*b^6*c^5*d^4*e^6 - 12800*a^6*b^7*c^4*d^3*e^7 - 11600*a^6*b^8*c^3*d^2*e^8 + 61440*a^7*b^2*c^8*d^6*e^4 + 102400*a^7*b^3*c^7*d^5*e^5 - 125440*a^7*b^4*c^6*d^4*e^6 - 15360*a^7*b^5*c^5*d^3*e^7 + 32000*a^7*b^6*c^4*d^2*e^8 + 61440*a^8*b^2*c^7*d^4*e^6 + 81920*a^8*b^3*c^6*d^3*e^7 - 42240*a^8*b^4*c^5*d^2*e^8 + 10240*a^9*b^2*c^6*d^2*e^8 + 120*a*b^11*c^5*d^9*e + 4*a*b^15*c*d^5*e^5 + 120*a^5*b^11*c*d*e^9 - 20480*a^6*b*c^10*d^9*e - 20480*a^10*b*c^6*d*e^9 - 235*a*b^12*c^4*d^8*e^2 + 220*a*b^13*c^3*d^7*e^3 - 90*a*b^14*c^2*d^6*e^4 - 1200*a^2*b^9*c^6*d^9*e - 90*a^2*b^14*c*d^4*e^6 + 6400*a^3*b^7*c^7*d^9*e + 220*a^3*b^13*c*d^3*e^7 - 19200*a^4*b^5*c^8*d^9*e - 235*a^4*b^12*c*d^2*e^8 + 30720*a^5*b^3*c^9*d^9*e - 1200*a^6*b^9*c^2*d*e^9 - 81920*a^7*b*c^9*d^7*e^3 + 6400*a^7*b^7*c^3*d*e^9 - 122880*a^8*b*c^8*d^5*e^5 - 19200*a^8*b^5*c^4*d*e^9 - 81920*a^9*b*c^7*d^3*e^7 + 30720*a^9*b^3*c^5*d*e^9)))^(1/2)*2i","B"
1628,0,-1,576,0.000000,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2),x)","\int \left(b+2\,c\,x\right)\,\sqrt{d+e\,x}\,\sqrt{c\,x^2+b\,x+a} \,d x","Not used",1,"int((b + 2*c*x)*(d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2), x)","F"
1629,0,-1,487,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(1/2), x)","F"
1630,0,-1,469,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(3/2), x)","F"
1631,0,-1,548,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(5/2), x)","F"
1632,0,-1,691,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(7/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(7/2), x)","F"
1633,0,-1,688,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(1/2), x)","F"
1634,0,-1,592,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(3/2), x)","F"
1635,0,-1,573,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(5/2), x)","F"
1636,0,-1,701,0.000000,"\text{Not used}","int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(7/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(a + b*x + c*x^2)^(3/2))/(d + e*x)^(7/2), x)","F"
1637,0,-1,600,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(1/2), x)","F"
1638,0,-1,507,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(1/2), x)","F"
1639,0,-1,441,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{d+e\,x}}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(1/2), x)","F"
1640,0,-1,391,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{\sqrt{d+e\,x}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
1641,0,-1,458,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^{3/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
1642,0,-1,581,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^{5/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
1643,0,-1,540,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(7/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(7/2))/(a + b*x + c*x^2)^(3/2), x)","F"
1644,0,-1,468,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(3/2), x)","F"
1645,0,-1,216,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(3/2), x)","F"
1646,0,-1,216,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(3/2), x)","F"
1647,0,-1,290,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{b+2\,c\,x}{\sqrt{d+e\,x}\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(3/2)), x)","F"
1648,0,-1,559,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{b+2\,c\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(3/2)), x)","F"
1649,0,-1,573,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(7/2))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(7/2))/(a + b*x + c*x^2)^(5/2), x)","F"
1650,0,-1,494,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(5/2), x)","F"
1651,0,-1,456,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(5/2), x)","F"
1652,0,-1,517,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(b+2\,c\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(5/2), x)","F"
1653,0,-1,665,0.000000,"\text{Not used}","int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{b+2\,c\,x}{\sqrt{d+e\,x}\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((b + 2*c*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(5/2)), x)","F"
1654,1,4573,449,4.202738,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^m*(a + b*x + c*x^2)^3,x)","\frac{x\,{\left(d+e\,x\right)}^m\,\left(a^3\,b\,e^8\,m^7+35\,a^3\,b\,e^8\,m^6+511\,a^3\,b\,e^8\,m^5+4025\,a^3\,b\,e^8\,m^4+18424\,a^3\,b\,e^8\,m^3+48860\,a^3\,b\,e^8\,m^2+69264\,a^3\,b\,e^8\,m+40320\,a^3\,b\,e^8+2\,a^3\,c\,d\,e^7\,m^7+66\,a^3\,c\,d\,e^7\,m^6+890\,a^3\,c\,d\,e^7\,m^5+6270\,a^3\,c\,d\,e^7\,m^4+24308\,a^3\,c\,d\,e^7\,m^3+49104\,a^3\,c\,d\,e^7\,m^2+40320\,a^3\,c\,d\,e^7\,m+3\,a^2\,b^2\,d\,e^7\,m^7+99\,a^2\,b^2\,d\,e^7\,m^6+1335\,a^2\,b^2\,d\,e^7\,m^5+9405\,a^2\,b^2\,d\,e^7\,m^4+36462\,a^2\,b^2\,d\,e^7\,m^3+73656\,a^2\,b^2\,d\,e^7\,m^2+60480\,a^2\,b^2\,d\,e^7\,m-18\,a^2\,b\,c\,d^2\,e^6\,m^6-540\,a^2\,b\,c\,d^2\,e^6\,m^5-6390\,a^2\,b\,c\,d^2\,e^6\,m^4-37260\,a^2\,b\,c\,d^2\,e^6\,m^3-106992\,a^2\,b\,c\,d^2\,e^6\,m^2-120960\,a^2\,b\,c\,d^2\,e^6\,m+36\,a^2\,c^2\,d^3\,e^5\,m^5+936\,a^2\,c^2\,d^3\,e^5\,m^4+9036\,a^2\,c^2\,d^3\,e^5\,m^3+38376\,a^2\,c^2\,d^3\,e^5\,m^2+60480\,a^2\,c^2\,d^3\,e^5\,m-6\,a\,b^3\,d^2\,e^6\,m^6-180\,a\,b^3\,d^2\,e^6\,m^5-2130\,a\,b^3\,d^2\,e^6\,m^4-12420\,a\,b^3\,d^2\,e^6\,m^3-35664\,a\,b^3\,d^2\,e^6\,m^2-40320\,a\,b^3\,d^2\,e^6\,m+72\,a\,b^2\,c\,d^3\,e^5\,m^5+1872\,a\,b^2\,c\,d^3\,e^5\,m^4+18072\,a\,b^2\,c\,d^3\,e^5\,m^3+76752\,a\,b^2\,c\,d^3\,e^5\,m^2+120960\,a\,b^2\,c\,d^3\,e^5\,m-360\,a\,b\,c^2\,d^4\,e^4\,m^4-7560\,a\,b\,c^2\,d^4\,e^4\,m^3-52560\,a\,b\,c^2\,d^4\,e^4\,m^2-120960\,a\,b\,c^2\,d^4\,e^4\,m+720\,a\,c^3\,d^5\,e^3\,m^3+10800\,a\,c^3\,d^5\,e^3\,m^2+40320\,a\,c^3\,d^5\,e^3\,m+6\,b^4\,d^3\,e^5\,m^5+156\,b^4\,d^3\,e^5\,m^4+1506\,b^4\,d^3\,e^5\,m^3+6396\,b^4\,d^3\,e^5\,m^2+10080\,b^4\,d^3\,e^5\,m-120\,b^3\,c\,d^4\,e^4\,m^4-2520\,b^3\,c\,d^4\,e^4\,m^3-17520\,b^3\,c\,d^4\,e^4\,m^2-40320\,b^3\,c\,d^4\,e^4\,m+1080\,b^2\,c^2\,d^5\,e^3\,m^3+16200\,b^2\,c^2\,d^5\,e^3\,m^2+60480\,b^2\,c^2\,d^5\,e^3\,m-5040\,b\,c^3\,d^6\,e^2\,m^2-40320\,b\,c^3\,d^6\,e^2\,m+10080\,c^4\,d^7\,e\,m\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}-\frac{{\left(d+e\,x\right)}^m\,\left(-a^3\,b\,d\,e^7\,m^7-35\,a^3\,b\,d\,e^7\,m^6-511\,a^3\,b\,d\,e^7\,m^5-4025\,a^3\,b\,d\,e^7\,m^4-18424\,a^3\,b\,d\,e^7\,m^3-48860\,a^3\,b\,d\,e^7\,m^2-69264\,a^3\,b\,d\,e^7\,m-40320\,a^3\,b\,d\,e^7+2\,a^3\,c\,d^2\,e^6\,m^6+66\,a^3\,c\,d^2\,e^6\,m^5+890\,a^3\,c\,d^2\,e^6\,m^4+6270\,a^3\,c\,d^2\,e^6\,m^3+24308\,a^3\,c\,d^2\,e^6\,m^2+49104\,a^3\,c\,d^2\,e^6\,m+40320\,a^3\,c\,d^2\,e^6+3\,a^2\,b^2\,d^2\,e^6\,m^6+99\,a^2\,b^2\,d^2\,e^6\,m^5+1335\,a^2\,b^2\,d^2\,e^6\,m^4+9405\,a^2\,b^2\,d^2\,e^6\,m^3+36462\,a^2\,b^2\,d^2\,e^6\,m^2+73656\,a^2\,b^2\,d^2\,e^6\,m+60480\,a^2\,b^2\,d^2\,e^6-18\,a^2\,b\,c\,d^3\,e^5\,m^5-540\,a^2\,b\,c\,d^3\,e^5\,m^4-6390\,a^2\,b\,c\,d^3\,e^5\,m^3-37260\,a^2\,b\,c\,d^3\,e^5\,m^2-106992\,a^2\,b\,c\,d^3\,e^5\,m-120960\,a^2\,b\,c\,d^3\,e^5+36\,a^2\,c^2\,d^4\,e^4\,m^4+936\,a^2\,c^2\,d^4\,e^4\,m^3+9036\,a^2\,c^2\,d^4\,e^4\,m^2+38376\,a^2\,c^2\,d^4\,e^4\,m+60480\,a^2\,c^2\,d^4\,e^4-6\,a\,b^3\,d^3\,e^5\,m^5-180\,a\,b^3\,d^3\,e^5\,m^4-2130\,a\,b^3\,d^3\,e^5\,m^3-12420\,a\,b^3\,d^3\,e^5\,m^2-35664\,a\,b^3\,d^3\,e^5\,m-40320\,a\,b^3\,d^3\,e^5+72\,a\,b^2\,c\,d^4\,e^4\,m^4+1872\,a\,b^2\,c\,d^4\,e^4\,m^3+18072\,a\,b^2\,c\,d^4\,e^4\,m^2+76752\,a\,b^2\,c\,d^4\,e^4\,m+120960\,a\,b^2\,c\,d^4\,e^4-360\,a\,b\,c^2\,d^5\,e^3\,m^3-7560\,a\,b\,c^2\,d^5\,e^3\,m^2-52560\,a\,b\,c^2\,d^5\,e^3\,m-120960\,a\,b\,c^2\,d^5\,e^3+720\,a\,c^3\,d^6\,e^2\,m^2+10800\,a\,c^3\,d^6\,e^2\,m+40320\,a\,c^3\,d^6\,e^2+6\,b^4\,d^4\,e^4\,m^4+156\,b^4\,d^4\,e^4\,m^3+1506\,b^4\,d^4\,e^4\,m^2+6396\,b^4\,d^4\,e^4\,m+10080\,b^4\,d^4\,e^4-120\,b^3\,c\,d^5\,e^3\,m^3-2520\,b^3\,c\,d^5\,e^3\,m^2-17520\,b^3\,c\,d^5\,e^3\,m-40320\,b^3\,c\,d^5\,e^3+1080\,b^2\,c^2\,d^6\,e^2\,m^2+16200\,b^2\,c^2\,d^6\,e^2\,m+60480\,b^2\,c^2\,d^6\,e^2-5040\,b\,c^3\,d^7\,e\,m-40320\,b\,c^3\,d^7\,e+10080\,c^4\,d^8\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{2\,c^4\,x^8\,{\left(d+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{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(6\,a^2\,c^2\,e^4\,m^4+156\,a^2\,c^2\,e^4\,m^3+1506\,a^2\,c^2\,e^4\,m^2+6396\,a^2\,c^2\,e^4\,m+10080\,a^2\,c^2\,e^4+12\,a\,b^2\,c\,e^4\,m^4+312\,a\,b^2\,c\,e^4\,m^3+3012\,a\,b^2\,c\,e^4\,m^2+12792\,a\,b^2\,c\,e^4\,m+20160\,a\,b^2\,c\,e^4+15\,a\,b\,c^2\,d\,e^3\,m^4+315\,a\,b\,c^2\,d\,e^3\,m^3+2190\,a\,b\,c^2\,d\,e^3\,m^2+5040\,a\,b\,c^2\,d\,e^3\,m-30\,a\,c^3\,d^2\,e^2\,m^3-450\,a\,c^3\,d^2\,e^2\,m^2-1680\,a\,c^3\,d^2\,e^2\,m+b^4\,e^4\,m^4+26\,b^4\,e^4\,m^3+251\,b^4\,e^4\,m^2+1066\,b^4\,e^4\,m+1680\,b^4\,e^4+5\,b^3\,c\,d\,e^3\,m^4+105\,b^3\,c\,d\,e^3\,m^3+730\,b^3\,c\,d\,e^3\,m^2+1680\,b^3\,c\,d\,e^3\,m-45\,b^2\,c^2\,d^2\,e^2\,m^3-675\,b^2\,c^2\,d^2\,e^2\,m^2-2520\,b^2\,c^2\,d^2\,e^2\,m+210\,b\,c^3\,d^3\,e\,m^2+1680\,b\,c^3\,d^3\,e\,m-420\,c^4\,d^4\,m\right)}{e^4\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(9\,a^2\,b\,c\,e^5\,m^5+270\,a^2\,b\,c\,e^5\,m^4+3195\,a^2\,b\,c\,e^5\,m^3+18630\,a^2\,b\,c\,e^5\,m^2+53496\,a^2\,b\,c\,e^5\,m+60480\,a^2\,b\,c\,e^5+6\,a^2\,c^2\,d\,e^4\,m^5+156\,a^2\,c^2\,d\,e^4\,m^4+1506\,a^2\,c^2\,d\,e^4\,m^3+6396\,a^2\,c^2\,d\,e^4\,m^2+10080\,a^2\,c^2\,d\,e^4\,m+3\,a\,b^3\,e^5\,m^5+90\,a\,b^3\,e^5\,m^4+1065\,a\,b^3\,e^5\,m^3+6210\,a\,b^3\,e^5\,m^2+17832\,a\,b^3\,e^5\,m+20160\,a\,b^3\,e^5+12\,a\,b^2\,c\,d\,e^4\,m^5+312\,a\,b^2\,c\,d\,e^4\,m^4+3012\,a\,b^2\,c\,d\,e^4\,m^3+12792\,a\,b^2\,c\,d\,e^4\,m^2+20160\,a\,b^2\,c\,d\,e^4\,m-60\,a\,b\,c^2\,d^2\,e^3\,m^4-1260\,a\,b\,c^2\,d^2\,e^3\,m^3-8760\,a\,b\,c^2\,d^2\,e^3\,m^2-20160\,a\,b\,c^2\,d^2\,e^3\,m+120\,a\,c^3\,d^3\,e^2\,m^3+1800\,a\,c^3\,d^3\,e^2\,m^2+6720\,a\,c^3\,d^3\,e^2\,m+b^4\,d\,e^4\,m^5+26\,b^4\,d\,e^4\,m^4+251\,b^4\,d\,e^4\,m^3+1066\,b^4\,d\,e^4\,m^2+1680\,b^4\,d\,e^4\,m-20\,b^3\,c\,d^2\,e^3\,m^4-420\,b^3\,c\,d^2\,e^3\,m^3-2920\,b^3\,c\,d^2\,e^3\,m^2-6720\,b^3\,c\,d^2\,e^3\,m+180\,b^2\,c^2\,d^3\,e^2\,m^3+2700\,b^2\,c^2\,d^3\,e^2\,m^2+10080\,b^2\,c^2\,d^3\,e^2\,m-840\,b\,c^3\,d^4\,e\,m^2-6720\,b\,c^3\,d^4\,e\,m+1680\,c^4\,d^5\,m\right)}{e^5\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(2\,a^3\,c\,e^6\,m^6+66\,a^3\,c\,e^6\,m^5+890\,a^3\,c\,e^6\,m^4+6270\,a^3\,c\,e^6\,m^3+24308\,a^3\,c\,e^6\,m^2+49104\,a^3\,c\,e^6\,m+40320\,a^3\,c\,e^6+3\,a^2\,b^2\,e^6\,m^6+99\,a^2\,b^2\,e^6\,m^5+1335\,a^2\,b^2\,e^6\,m^4+9405\,a^2\,b^2\,e^6\,m^3+36462\,a^2\,b^2\,e^6\,m^2+73656\,a^2\,b^2\,e^6\,m+60480\,a^2\,b^2\,e^6+9\,a^2\,b\,c\,d\,e^5\,m^6+270\,a^2\,b\,c\,d\,e^5\,m^5+3195\,a^2\,b\,c\,d\,e^5\,m^4+18630\,a^2\,b\,c\,d\,e^5\,m^3+53496\,a^2\,b\,c\,d\,e^5\,m^2+60480\,a^2\,b\,c\,d\,e^5\,m-18\,a^2\,c^2\,d^2\,e^4\,m^5-468\,a^2\,c^2\,d^2\,e^4\,m^4-4518\,a^2\,c^2\,d^2\,e^4\,m^3-19188\,a^2\,c^2\,d^2\,e^4\,m^2-30240\,a^2\,c^2\,d^2\,e^4\,m+3\,a\,b^3\,d\,e^5\,m^6+90\,a\,b^3\,d\,e^5\,m^5+1065\,a\,b^3\,d\,e^5\,m^4+6210\,a\,b^3\,d\,e^5\,m^3+17832\,a\,b^3\,d\,e^5\,m^2+20160\,a\,b^3\,d\,e^5\,m-36\,a\,b^2\,c\,d^2\,e^4\,m^5-936\,a\,b^2\,c\,d^2\,e^4\,m^4-9036\,a\,b^2\,c\,d^2\,e^4\,m^3-38376\,a\,b^2\,c\,d^2\,e^4\,m^2-60480\,a\,b^2\,c\,d^2\,e^4\,m+180\,a\,b\,c^2\,d^3\,e^3\,m^4+3780\,a\,b\,c^2\,d^3\,e^3\,m^3+26280\,a\,b\,c^2\,d^3\,e^3\,m^2+60480\,a\,b\,c^2\,d^3\,e^3\,m-360\,a\,c^3\,d^4\,e^2\,m^3-5400\,a\,c^3\,d^4\,e^2\,m^2-20160\,a\,c^3\,d^4\,e^2\,m-3\,b^4\,d^2\,e^4\,m^5-78\,b^4\,d^2\,e^4\,m^4-753\,b^4\,d^2\,e^4\,m^3-3198\,b^4\,d^2\,e^4\,m^2-5040\,b^4\,d^2\,e^4\,m+60\,b^3\,c\,d^3\,e^3\,m^4+1260\,b^3\,c\,d^3\,e^3\,m^3+8760\,b^3\,c\,d^3\,e^3\,m^2+20160\,b^3\,c\,d^3\,e^3\,m-540\,b^2\,c^2\,d^4\,e^2\,m^3-8100\,b^2\,c^2\,d^4\,e^2\,m^2-30240\,b^2\,c^2\,d^4\,e^2\,m+2520\,b\,c^3\,d^5\,e\,m^2+20160\,b\,c^3\,d^5\,e\,m-5040\,c^4\,d^6\,m\right)}{e^6\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^2\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(9\,b^2\,e^2\,m^2+135\,b^2\,e^2\,m+504\,b^2\,e^2+7\,b\,c\,d\,e\,m^2+56\,b\,c\,d\,e\,m-14\,c^2\,d^2\,m+6\,a\,c\,e^2\,m^2+90\,a\,c\,e^2\,m+336\,a\,c\,e^2\right)}{e^2\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^3\,x^7\,{\left(d+e\,x\right)}^m\,\left(56\,b\,e+7\,b\,e\,m+2\,c\,d\,m\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(5\,b^3\,e^3\,m^3+105\,b^3\,e^3\,m^2+730\,b^3\,e^3\,m+1680\,b^3\,e^3+9\,b^2\,c\,d\,e^2\,m^3+135\,b^2\,c\,d\,e^2\,m^2+504\,b^2\,c\,d\,e^2\,m-42\,b\,c^2\,d^2\,e\,m^2-336\,b\,c^2\,d^2\,e\,m+15\,a\,b\,c\,e^3\,m^3+315\,a\,b\,c\,e^3\,m^2+2190\,a\,b\,c\,e^3\,m+5040\,a\,b\,c\,e^3+84\,c^3\,d^3\,m+6\,a\,c^2\,d\,e^2\,m^3+90\,a\,c^2\,d\,e^2\,m^2+336\,a\,c^2\,d\,e^2\,m\right)}{e^3\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}","Not used",1,"(x*(d + e*x)^m*(40320*a^3*b*e^8 + 48860*a^3*b*e^8*m^2 + 18424*a^3*b*e^8*m^3 + 4025*a^3*b*e^8*m^4 + 511*a^3*b*e^8*m^5 + 35*a^3*b*e^8*m^6 + a^3*b*e^8*m^7 + 10080*b^4*d^3*e^5*m + 6396*b^4*d^3*e^5*m^2 + 1506*b^4*d^3*e^5*m^3 + 156*b^4*d^3*e^5*m^4 + 6*b^4*d^3*e^5*m^5 + 69264*a^3*b*e^8*m + 10080*c^4*d^7*e*m + 40320*a^3*c*d*e^7*m + 38376*a^2*c^2*d^3*e^5*m^2 + 9036*a^2*c^2*d^3*e^5*m^3 + 936*a^2*c^2*d^3*e^5*m^4 + 36*a^2*c^2*d^3*e^5*m^5 + 16200*b^2*c^2*d^5*e^3*m^2 + 1080*b^2*c^2*d^5*e^3*m^3 - 40320*a*b^3*d^2*e^6*m + 60480*a^2*b^2*d*e^7*m + 40320*a*c^3*d^5*e^3*m + 49104*a^3*c*d*e^7*m^2 + 24308*a^3*c*d*e^7*m^3 + 6270*a^3*c*d*e^7*m^4 + 890*a^3*c*d*e^7*m^5 + 66*a^3*c*d*e^7*m^6 + 2*a^3*c*d*e^7*m^7 - 40320*b*c^3*d^6*e^2*m - 40320*b^3*c*d^4*e^4*m - 35664*a*b^3*d^2*e^6*m^2 + 73656*a^2*b^2*d*e^7*m^2 - 12420*a*b^3*d^2*e^6*m^3 + 36462*a^2*b^2*d*e^7*m^3 - 2130*a*b^3*d^2*e^6*m^4 + 9405*a^2*b^2*d*e^7*m^4 - 180*a*b^3*d^2*e^6*m^5 + 1335*a^2*b^2*d*e^7*m^5 - 6*a*b^3*d^2*e^6*m^6 + 99*a^2*b^2*d*e^7*m^6 + 3*a^2*b^2*d*e^7*m^7 + 60480*a^2*c^2*d^3*e^5*m + 10800*a*c^3*d^5*e^3*m^2 + 720*a*c^3*d^5*e^3*m^3 + 60480*b^2*c^2*d^5*e^3*m - 5040*b*c^3*d^6*e^2*m^2 - 17520*b^3*c*d^4*e^4*m^2 - 2520*b^3*c*d^4*e^4*m^3 - 120*b^3*c*d^4*e^4*m^4 - 52560*a*b*c^2*d^4*e^4*m^2 + 76752*a*b^2*c*d^3*e^5*m^2 - 106992*a^2*b*c*d^2*e^6*m^2 - 7560*a*b*c^2*d^4*e^4*m^3 + 18072*a*b^2*c*d^3*e^5*m^3 - 37260*a^2*b*c*d^2*e^6*m^3 - 360*a*b*c^2*d^4*e^4*m^4 + 1872*a*b^2*c*d^3*e^5*m^4 - 6390*a^2*b*c*d^2*e^6*m^4 + 72*a*b^2*c*d^3*e^5*m^5 - 540*a^2*b*c*d^2*e^6*m^5 - 18*a^2*b*c*d^2*e^6*m^6 - 120960*a*b*c^2*d^4*e^4*m + 120960*a*b^2*c*d^3*e^5*m - 120960*a^2*b*c*d^2*e^6*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) - ((d + e*x)^m*(10080*c^4*d^8 + 10080*b^4*d^4*e^4 - 40320*a*b^3*d^3*e^5 + 40320*a*c^3*d^6*e^2 + 40320*a^3*c*d^2*e^6 - 40320*b^3*c*d^5*e^3 + 6396*b^4*d^4*e^4*m + 60480*a^2*b^2*d^2*e^6 + 60480*a^2*c^2*d^4*e^4 + 60480*b^2*c^2*d^6*e^2 + 1506*b^4*d^4*e^4*m^2 + 156*b^4*d^4*e^4*m^3 + 6*b^4*d^4*e^4*m^4 - 40320*a^3*b*d*e^7 - 40320*b*c^3*d^7*e - 69264*a^3*b*d*e^7*m - 5040*b*c^3*d^7*e*m + 36462*a^2*b^2*d^2*e^6*m^2 + 9405*a^2*b^2*d^2*e^6*m^3 + 1335*a^2*b^2*d^2*e^6*m^4 + 99*a^2*b^2*d^2*e^6*m^5 + 3*a^2*b^2*d^2*e^6*m^6 + 9036*a^2*c^2*d^4*e^4*m^2 + 936*a^2*c^2*d^4*e^4*m^3 + 36*a^2*c^2*d^4*e^4*m^4 + 1080*b^2*c^2*d^6*e^2*m^2 - 120960*a*b*c^2*d^5*e^3 + 120960*a*b^2*c*d^4*e^4 - 120960*a^2*b*c*d^3*e^5 - 35664*a*b^3*d^3*e^5*m - 48860*a^3*b*d*e^7*m^2 - 18424*a^3*b*d*e^7*m^3 - 4025*a^3*b*d*e^7*m^4 - 511*a^3*b*d*e^7*m^5 - 35*a^3*b*d*e^7*m^6 - a^3*b*d*e^7*m^7 + 10800*a*c^3*d^6*e^2*m + 49104*a^3*c*d^2*e^6*m - 17520*b^3*c*d^5*e^3*m + 73656*a^2*b^2*d^2*e^6*m - 12420*a*b^3*d^3*e^5*m^2 - 2130*a*b^3*d^3*e^5*m^3 - 180*a*b^3*d^3*e^5*m^4 - 6*a*b^3*d^3*e^5*m^5 + 38376*a^2*c^2*d^4*e^4*m + 720*a*c^3*d^6*e^2*m^2 + 24308*a^3*c*d^2*e^6*m^2 + 6270*a^3*c*d^2*e^6*m^3 + 890*a^3*c*d^2*e^6*m^4 + 66*a^3*c*d^2*e^6*m^5 + 2*a^3*c*d^2*e^6*m^6 + 16200*b^2*c^2*d^6*e^2*m - 2520*b^3*c*d^5*e^3*m^2 - 120*b^3*c*d^5*e^3*m^3 - 7560*a*b*c^2*d^5*e^3*m^2 + 18072*a*b^2*c*d^4*e^4*m^2 - 37260*a^2*b*c*d^3*e^5*m^2 - 360*a*b*c^2*d^5*e^3*m^3 + 1872*a*b^2*c*d^4*e^4*m^3 - 6390*a^2*b*c*d^3*e^5*m^3 + 72*a*b^2*c*d^4*e^4*m^4 - 540*a^2*b*c*d^3*e^5*m^4 - 18*a^2*b*c*d^3*e^5*m^5 - 52560*a*b*c^2*d^5*e^3*m + 76752*a*b^2*c*d^4*e^4*m - 106992*a^2*b*c*d^3*e^5*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (2*c^4*x^8*(d + 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) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(1680*b^4*e^4 + 1066*b^4*e^4*m - 420*c^4*d^4*m + 10080*a^2*c^2*e^4 + 251*b^4*e^4*m^2 + 26*b^4*e^4*m^3 + b^4*e^4*m^4 + 6396*a^2*c^2*e^4*m + 1506*a^2*c^2*e^4*m^2 + 156*a^2*c^2*e^4*m^3 + 6*a^2*c^2*e^4*m^4 + 20160*a*b^2*c*e^4 + 12792*a*b^2*c*e^4*m + 1680*b*c^3*d^3*e*m + 1680*b^3*c*d*e^3*m - 675*b^2*c^2*d^2*e^2*m^2 - 45*b^2*c^2*d^2*e^2*m^3 + 3012*a*b^2*c*e^4*m^2 + 312*a*b^2*c*e^4*m^3 + 12*a*b^2*c*e^4*m^4 - 1680*a*c^3*d^2*e^2*m + 210*b*c^3*d^3*e*m^2 + 730*b^3*c*d*e^3*m^2 + 105*b^3*c*d*e^3*m^3 + 5*b^3*c*d*e^3*m^4 - 450*a*c^3*d^2*e^2*m^2 - 30*a*c^3*d^2*e^2*m^3 - 2520*b^2*c^2*d^2*e^2*m + 5040*a*b*c^2*d*e^3*m + 2190*a*b*c^2*d*e^3*m^2 + 315*a*b*c^2*d*e^3*m^3 + 15*a*b*c^2*d*e^3*m^4))/(e^4*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(20160*a*b^3*e^5 + 1680*c^4*d^5*m + 6210*a*b^3*e^5*m^2 + 1065*a*b^3*e^5*m^3 + 90*a*b^3*e^5*m^4 + 3*a*b^3*e^5*m^5 + 1066*b^4*d*e^4*m^2 + 251*b^4*d*e^4*m^3 + 26*b^4*d*e^4*m^4 + b^4*d*e^4*m^5 + 60480*a^2*b*c*e^5 + 17832*a*b^3*e^5*m + 1680*b^4*d*e^4*m + 53496*a^2*b*c*e^5*m - 6720*b*c^3*d^4*e*m + 2700*b^2*c^2*d^3*e^2*m^2 + 180*b^2*c^2*d^3*e^2*m^3 + 18630*a^2*b*c*e^5*m^2 + 3195*a^2*b*c*e^5*m^3 + 270*a^2*b*c*e^5*m^4 + 9*a^2*b*c*e^5*m^5 + 6720*a*c^3*d^3*e^2*m + 10080*a^2*c^2*d*e^4*m - 6720*b^3*c*d^2*e^3*m - 840*b*c^3*d^4*e*m^2 + 1800*a*c^3*d^3*e^2*m^2 + 6396*a^2*c^2*d*e^4*m^2 + 120*a*c^3*d^3*e^2*m^3 + 1506*a^2*c^2*d*e^4*m^3 + 156*a^2*c^2*d*e^4*m^4 + 6*a^2*c^2*d*e^4*m^5 + 10080*b^2*c^2*d^3*e^2*m - 2920*b^3*c*d^2*e^3*m^2 - 420*b^3*c*d^2*e^3*m^3 - 20*b^3*c*d^2*e^3*m^4 - 8760*a*b*c^2*d^2*e^3*m^2 - 1260*a*b*c^2*d^2*e^3*m^3 - 60*a*b*c^2*d^2*e^3*m^4 + 20160*a*b^2*c*d*e^4*m - 20160*a*b*c^2*d^2*e^3*m + 12792*a*b^2*c*d*e^4*m^2 + 3012*a*b^2*c*d*e^4*m^3 + 312*a*b^2*c*d*e^4*m^4 + 12*a*b^2*c*d*e^4*m^5))/(e^5*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^2*(m + 1)*(d + e*x)^m*(40320*a^3*c*e^6 - 5040*c^4*d^6*m + 60480*a^2*b^2*e^6 + 73656*a^2*b^2*e^6*m + 24308*a^3*c*e^6*m^2 + 6270*a^3*c*e^6*m^3 + 890*a^3*c*e^6*m^4 + 66*a^3*c*e^6*m^5 + 2*a^3*c*e^6*m^6 - 5040*b^4*d^2*e^4*m + 36462*a^2*b^2*e^6*m^2 + 9405*a^2*b^2*e^6*m^3 + 1335*a^2*b^2*e^6*m^4 + 99*a^2*b^2*e^6*m^5 + 3*a^2*b^2*e^6*m^6 - 3198*b^4*d^2*e^4*m^2 - 753*b^4*d^2*e^4*m^3 - 78*b^4*d^2*e^4*m^4 - 3*b^4*d^2*e^4*m^5 + 49104*a^3*c*e^6*m + 20160*a*b^3*d*e^5*m + 20160*b*c^3*d^5*e*m - 19188*a^2*c^2*d^2*e^4*m^2 - 4518*a^2*c^2*d^2*e^4*m^3 - 468*a^2*c^2*d^2*e^4*m^4 - 18*a^2*c^2*d^2*e^4*m^5 - 8100*b^2*c^2*d^4*e^2*m^2 - 540*b^2*c^2*d^4*e^2*m^3 + 17832*a*b^3*d*e^5*m^2 + 6210*a*b^3*d*e^5*m^3 + 1065*a*b^3*d*e^5*m^4 + 90*a*b^3*d*e^5*m^5 + 3*a*b^3*d*e^5*m^6 - 20160*a*c^3*d^4*e^2*m + 20160*b^3*c*d^3*e^3*m + 2520*b*c^3*d^5*e*m^2 - 30240*a^2*c^2*d^2*e^4*m - 5400*a*c^3*d^4*e^2*m^2 - 360*a*c^3*d^4*e^2*m^3 - 30240*b^2*c^2*d^4*e^2*m + 8760*b^3*c*d^3*e^3*m^2 + 1260*b^3*c*d^3*e^3*m^3 + 60*b^3*c*d^3*e^3*m^4 + 26280*a*b*c^2*d^3*e^3*m^2 - 38376*a*b^2*c*d^2*e^4*m^2 + 3780*a*b*c^2*d^3*e^3*m^3 - 9036*a*b^2*c*d^2*e^4*m^3 + 180*a*b*c^2*d^3*e^3*m^4 - 936*a*b^2*c*d^2*e^4*m^4 - 36*a*b^2*c*d^2*e^4*m^5 + 60480*a^2*b*c*d*e^5*m + 60480*a*b*c^2*d^3*e^3*m - 60480*a*b^2*c*d^2*e^4*m + 53496*a^2*b*c*d*e^5*m^2 + 18630*a^2*b*c*d*e^5*m^3 + 3195*a^2*b*c*d*e^5*m^4 + 270*a^2*b*c*d*e^5*m^5 + 9*a^2*b*c*d*e^5*m^6))/(e^6*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c^2*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(504*b^2*e^2 + 135*b^2*e^2*m - 14*c^2*d^2*m + 9*b^2*e^2*m^2 + 336*a*c*e^2 + 90*a*c*e^2*m + 6*a*c*e^2*m^2 + 56*b*c*d*e*m + 7*b*c*d*e*m^2))/(e^2*(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^7*(d + e*x)^m*(56*b*e + 7*b*e*m + 2*c*d*m)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(1680*b^3*e^3 + 730*b^3*e^3*m + 84*c^3*d^3*m + 105*b^3*e^3*m^2 + 5*b^3*e^3*m^3 + 5040*a*b*c*e^3 + 315*a*b*c*e^3*m^2 + 15*a*b*c*e^3*m^3 + 336*a*c^2*d*e^2*m - 336*b*c^2*d^2*e*m + 504*b^2*c*d*e^2*m + 90*a*c^2*d*e^2*m^2 + 6*a*c^2*d*e^2*m^3 - 42*b*c^2*d^2*e*m^2 + 135*b^2*c*d*e^2*m^2 + 9*b^2*c*d*e^2*m^3 + 2190*a*b*c*e^3*m))/(e^3*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))","B"
1655,1,1825,270,2.823108,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^m*(a + b*x + c*x^2)^2,x)","\frac{2\,c^3\,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{{\left(d+e\,x\right)}^m\,\left(-a^2\,b\,d\,e^5\,m^5-20\,a^2\,b\,d\,e^5\,m^4-155\,a^2\,b\,d\,e^5\,m^3-580\,a^2\,b\,d\,e^5\,m^2-1044\,a^2\,b\,d\,e^5\,m-720\,a^2\,b\,d\,e^5+2\,a^2\,c\,d^2\,e^4\,m^4+36\,a^2\,c\,d^2\,e^4\,m^3+238\,a^2\,c\,d^2\,e^4\,m^2+684\,a^2\,c\,d^2\,e^4\,m+720\,a^2\,c\,d^2\,e^4+2\,a\,b^2\,d^2\,e^4\,m^4+36\,a\,b^2\,d^2\,e^4\,m^3+238\,a\,b^2\,d^2\,e^4\,m^2+684\,a\,b^2\,d^2\,e^4\,m+720\,a\,b^2\,d^2\,e^4-12\,a\,b\,c\,d^3\,e^3\,m^3-180\,a\,b\,c\,d^3\,e^3\,m^2-888\,a\,b\,c\,d^3\,e^3\,m-1440\,a\,b\,c\,d^3\,e^3+24\,a\,c^2\,d^4\,e^2\,m^2+264\,a\,c^2\,d^4\,e^2\,m+720\,a\,c^2\,d^4\,e^2-2\,b^3\,d^3\,e^3\,m^3-30\,b^3\,d^3\,e^3\,m^2-148\,b^3\,d^3\,e^3\,m-240\,b^3\,d^3\,e^3+24\,b^2\,c\,d^4\,e^2\,m^2+264\,b^2\,c\,d^4\,e^2\,m+720\,b^2\,c\,d^4\,e^2-120\,b\,c^2\,d^5\,e\,m-720\,b\,c^2\,d^5\,e+240\,c^3\,d^6\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(a^2\,b\,e^6\,m^5+20\,a^2\,b\,e^6\,m^4+155\,a^2\,b\,e^6\,m^3+580\,a^2\,b\,e^6\,m^2+1044\,a^2\,b\,e^6\,m+720\,a^2\,b\,e^6+2\,a^2\,c\,d\,e^5\,m^5+36\,a^2\,c\,d\,e^5\,m^4+238\,a^2\,c\,d\,e^5\,m^3+684\,a^2\,c\,d\,e^5\,m^2+720\,a^2\,c\,d\,e^5\,m+2\,a\,b^2\,d\,e^5\,m^5+36\,a\,b^2\,d\,e^5\,m^4+238\,a\,b^2\,d\,e^5\,m^3+684\,a\,b^2\,d\,e^5\,m^2+720\,a\,b^2\,d\,e^5\,m-12\,a\,b\,c\,d^2\,e^4\,m^4-180\,a\,b\,c\,d^2\,e^4\,m^3-888\,a\,b\,c\,d^2\,e^4\,m^2-1440\,a\,b\,c\,d^2\,e^4\,m+24\,a\,c^2\,d^3\,e^3\,m^3+264\,a\,c^2\,d^3\,e^3\,m^2+720\,a\,c^2\,d^3\,e^3\,m-2\,b^3\,d^2\,e^4\,m^4-30\,b^3\,d^2\,e^4\,m^3-148\,b^3\,d^2\,e^4\,m^2-240\,b^3\,d^2\,e^4\,m+24\,b^2\,c\,d^3\,e^3\,m^3+264\,b^2\,c\,d^3\,e^3\,m^2+720\,b^2\,c\,d^3\,e^3\,m-120\,b\,c^2\,d^4\,e^2\,m^2-720\,b\,c^2\,d^4\,e^2\,m+240\,c^3\,d^5\,e\,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(2\,a^2\,c\,e^4\,m^4+36\,a^2\,c\,e^4\,m^3+238\,a^2\,c\,e^4\,m^2+684\,a^2\,c\,e^4\,m+720\,a^2\,c\,e^4+2\,a\,b^2\,e^4\,m^4+36\,a\,b^2\,e^4\,m^3+238\,a\,b^2\,e^4\,m^2+684\,a\,b^2\,e^4\,m+720\,a\,b^2\,e^4+6\,a\,b\,c\,d\,e^3\,m^4+90\,a\,b\,c\,d\,e^3\,m^3+444\,a\,b\,c\,d\,e^3\,m^2+720\,a\,b\,c\,d\,e^3\,m-12\,a\,c^2\,d^2\,e^2\,m^3-132\,a\,c^2\,d^2\,e^2\,m^2-360\,a\,c^2\,d^2\,e^2\,m+b^3\,d\,e^3\,m^4+15\,b^3\,d\,e^3\,m^3+74\,b^3\,d\,e^3\,m^2+120\,b^3\,d\,e^3\,m-12\,b^2\,c\,d^2\,e^2\,m^3-132\,b^2\,c\,d^2\,e^2\,m^2-360\,b^2\,c\,d^2\,e^2\,m+60\,b\,c^2\,d^3\,e\,m^2+360\,b\,c^2\,d^3\,e\,m-120\,c^3\,d^4\,m\right)}{e^4\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(b^3\,e^3\,m^3+15\,b^3\,e^3\,m^2+74\,b^3\,e^3\,m+120\,b^3\,e^3+4\,b^2\,c\,d\,e^2\,m^3+44\,b^2\,c\,d\,e^2\,m^2+120\,b^2\,c\,d\,e^2\,m-20\,b\,c^2\,d^2\,e\,m^2-120\,b\,c^2\,d^2\,e\,m+6\,a\,b\,c\,e^3\,m^3+90\,a\,b\,c\,e^3\,m^2+444\,a\,b\,c\,e^3\,m+720\,a\,b\,c\,e^3+40\,c^3\,d^3\,m+4\,a\,c^2\,d\,e^2\,m^3+44\,a\,c^2\,d\,e^2\,m^2+120\,a\,c^2\,d\,e^2\,m\right)}{e^3\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{c^2\,x^5\,{\left(d+e\,x\right)}^m\,\left(30\,b\,e+5\,b\,e\,m+2\,c\,d\,m\right)\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}{e\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{c\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(4\,b^2\,e^2\,m^2+44\,b^2\,e^2\,m+120\,b^2\,e^2+5\,b\,c\,d\,e\,m^2+30\,b\,c\,d\,e\,m-10\,c^2\,d^2\,m+4\,a\,c\,e^2\,m^2+44\,a\,c\,e^2\,m+120\,a\,c\,e^2\right)}{e^2\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}","Not used",1,"(2*c^3*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) - ((d + e*x)^m*(240*c^3*d^6 - 240*b^3*d^3*e^3 + 720*a*b^2*d^2*e^4 + 720*a*c^2*d^4*e^2 + 720*a^2*c*d^2*e^4 + 720*b^2*c*d^4*e^2 - 148*b^3*d^3*e^3*m - 30*b^3*d^3*e^3*m^2 - 2*b^3*d^3*e^3*m^3 - 720*a^2*b*d*e^5 - 720*b*c^2*d^5*e - 1440*a*b*c*d^3*e^3 - 1044*a^2*b*d*e^5*m - 120*b*c^2*d^5*e*m + 684*a*b^2*d^2*e^4*m - 580*a^2*b*d*e^5*m^2 - 155*a^2*b*d*e^5*m^3 - 20*a^2*b*d*e^5*m^4 - a^2*b*d*e^5*m^5 + 264*a*c^2*d^4*e^2*m + 684*a^2*c*d^2*e^4*m + 264*b^2*c*d^4*e^2*m + 238*a*b^2*d^2*e^4*m^2 + 36*a*b^2*d^2*e^4*m^3 + 2*a*b^2*d^2*e^4*m^4 + 24*a*c^2*d^4*e^2*m^2 + 238*a^2*c*d^2*e^4*m^2 + 36*a^2*c*d^2*e^4*m^3 + 2*a^2*c*d^2*e^4*m^4 + 24*b^2*c*d^4*e^2*m^2 - 888*a*b*c*d^3*e^3*m - 180*a*b*c*d^3*e^3*m^2 - 12*a*b*c*d^3*e^3*m^3))/(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^2*b*e^6 + 580*a^2*b*e^6*m^2 + 155*a^2*b*e^6*m^3 + 20*a^2*b*e^6*m^4 + a^2*b*e^6*m^5 - 240*b^3*d^2*e^4*m - 148*b^3*d^2*e^4*m^2 - 30*b^3*d^2*e^4*m^3 - 2*b^3*d^2*e^4*m^4 + 1044*a^2*b*e^6*m + 240*c^3*d^5*e*m + 720*a*b^2*d*e^5*m + 720*a^2*c*d*e^5*m + 684*a*b^2*d*e^5*m^2 + 238*a*b^2*d*e^5*m^3 + 36*a*b^2*d*e^5*m^4 + 2*a*b^2*d*e^5*m^5 + 720*a*c^2*d^3*e^3*m + 684*a^2*c*d*e^5*m^2 + 238*a^2*c*d*e^5*m^3 + 36*a^2*c*d*e^5*m^4 + 2*a^2*c*d*e^5*m^5 - 720*b*c^2*d^4*e^2*m + 720*b^2*c*d^3*e^3*m + 264*a*c^2*d^3*e^3*m^2 + 24*a*c^2*d^3*e^3*m^3 - 120*b*c^2*d^4*e^2*m^2 + 264*b^2*c*d^3*e^3*m^2 + 24*b^2*c*d^3*e^3*m^3 - 1440*a*b*c*d^2*e^4*m - 888*a*b*c*d^2*e^4*m^2 - 180*a*b*c*d^2*e^4*m^3 - 12*a*b*c*d^2*e^4*m^4))/(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*(720*a*b^2*e^4 + 720*a^2*c*e^4 - 120*c^3*d^4*m + 238*a*b^2*e^4*m^2 + 36*a*b^2*e^4*m^3 + 2*a*b^2*e^4*m^4 + 238*a^2*c*e^4*m^2 + 36*a^2*c*e^4*m^3 + 2*a^2*c*e^4*m^4 + 74*b^3*d*e^3*m^2 + 15*b^3*d*e^3*m^3 + b^3*d*e^3*m^4 + 684*a*b^2*e^4*m + 684*a^2*c*e^4*m + 120*b^3*d*e^3*m + 360*b*c^2*d^3*e*m - 360*a*c^2*d^2*e^2*m - 360*b^2*c*d^2*e^2*m + 60*b*c^2*d^3*e*m^2 - 132*a*c^2*d^2*e^2*m^2 - 12*a*c^2*d^2*e^2*m^3 - 132*b^2*c*d^2*e^2*m^2 - 12*b^2*c*d^2*e^2*m^3 + 720*a*b*c*d*e^3*m + 444*a*b*c*d*e^3*m^2 + 90*a*b*c*d*e^3*m^3 + 6*a*b*c*d*e^3*m^4))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(120*b^3*e^3 + 74*b^3*e^3*m + 40*c^3*d^3*m + 15*b^3*e^3*m^2 + b^3*e^3*m^3 + 720*a*b*c*e^3 + 90*a*b*c*e^3*m^2 + 6*a*b*c*e^3*m^3 + 120*a*c^2*d*e^2*m - 120*b*c^2*d^2*e*m + 120*b^2*c*d*e^2*m + 44*a*c^2*d*e^2*m^2 + 4*a*c^2*d*e^2*m^3 - 20*b*c^2*d^2*e*m^2 + 44*b^2*c*d*e^2*m^2 + 4*b^2*c*d*e^2*m^3 + 444*a*b*c*e^3*m))/(e^3*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (c^2*x^5*(d + e*x)^m*(30*b*e + 5*b*e*m + 2*c*d*m)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (c*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(120*b^2*e^2 + 44*b^2*e^2*m - 10*c^2*d^2*m + 4*b^2*e^2*m^2 + 120*a*c*e^2 + 44*a*c*e^2*m + 4*a*c*e^2*m^2 + 30*b*c*d*e*m + 5*b*c*d*e*m^2))/(e^2*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
1656,1,554,143,2.253449,"\text{Not used}","int((b + 2*c*x)*(d + e*x)^m*(a + b*x + c*x^2),x)","\frac{x\,{\left(d+e\,x\right)}^m\,\left(b^2\,d\,e^3\,m^3+7\,b^2\,d\,e^3\,m^2+12\,b^2\,d\,e^3\,m-6\,b\,c\,d^2\,e^2\,m^2-24\,b\,c\,d^2\,e^2\,m+a\,b\,e^4\,m^3+9\,a\,b\,e^4\,m^2+26\,a\,b\,e^4\,m+24\,a\,b\,e^4+12\,c^2\,d^3\,e\,m+2\,a\,c\,d\,e^3\,m^3+14\,a\,c\,d\,e^3\,m^2+24\,a\,c\,d\,e^3\,m\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}-\frac{{\left(d+e\,x\right)}^m\,\left(b^2\,d^2\,e^2\,m^2+7\,b^2\,d^2\,e^2\,m+12\,b^2\,d^2\,e^2-6\,b\,c\,d^3\,e\,m-24\,b\,c\,d^3\,e-a\,b\,d\,e^3\,m^3-9\,a\,b\,d\,e^3\,m^2-26\,a\,b\,d\,e^3\,m-24\,a\,b\,d\,e^3+12\,c^2\,d^4+2\,a\,c\,d^2\,e^2\,m^2+14\,a\,c\,d^2\,e^2\,m+24\,a\,c\,d^2\,e^2\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{2\,c^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{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(b^2\,e^2\,m^2+7\,b^2\,e^2\,m+12\,b^2\,e^2+3\,b\,c\,d\,e\,m^2+12\,b\,c\,d\,e\,m-6\,c^2\,d^2\,m+2\,a\,c\,e^2\,m^2+14\,a\,c\,e^2\,m+24\,a\,c\,e^2\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{c\,x^3\,{\left(d+e\,x\right)}^m\,\left(12\,b\,e+3\,b\,e\,m+2\,c\,d\,m\right)\,\left(m^2+3\,m+2\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x*(d + e*x)^m*(24*a*b*e^4 + 7*b^2*d*e^3*m^2 + b^2*d*e^3*m^3 + 26*a*b*e^4*m + 9*a*b*e^4*m^2 + a*b*e^4*m^3 + 12*b^2*d*e^3*m + 12*c^2*d^3*e*m + 14*a*c*d*e^3*m^2 + 2*a*c*d*e^3*m^3 - 24*b*c*d^2*e^2*m - 6*b*c*d^2*e^2*m^2 + 24*a*c*d*e^3*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) - ((d + e*x)^m*(12*c^2*d^4 + 12*b^2*d^2*e^2 + 7*b^2*d^2*e^2*m - 24*a*b*d*e^3 - 24*b*c*d^3*e + b^2*d^2*e^2*m^2 + 24*a*c*d^2*e^2 - 9*a*b*d*e^3*m^2 - a*b*d*e^3*m^3 + 14*a*c*d^2*e^2*m + 2*a*c*d^2*e^2*m^2 - 26*a*b*d*e^3*m - 6*b*c*d^3*e*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (2*c^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) + (x^2*(m + 1)*(d + e*x)^m*(12*b^2*e^2 + 7*b^2*e^2*m - 6*c^2*d^2*m + b^2*e^2*m^2 + 24*a*c*e^2 + 14*a*c*e^2*m + 2*a*c*e^2*m^2 + 12*b*c*d*e*m + 3*b*c*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (c*x^3*(d + e*x)^m*(12*b*e + 3*b*e*m + 2*c*d*m)*(3*m + m^2 + 2))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
1657,0,-1,167,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^m)/(a + b*x + c*x^2),x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^m}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^m)/(a + b*x + c*x^2), x)","F"
1658,0,-1,358,0.000000,"\text{Not used}","int(((b + 2*c*x)*(d + e*x)^m)/(a + b*x + c*x^2)^2,x)","\int \frac{\left(b+2\,c\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(c\,x^2+b\,x+a\right)}^2} \,d x","Not used",1,"int(((b + 2*c*x)*(d + e*x)^m)/(a + b*x + c*x^2)^2, x)","F"
1659,1,381,120,0.171984,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^5\,\left(2\,B\,a^2\,d^2\,e^3+A\,a^2\,d\,e^4+4\,B\,a\,b\,d^3\,e^2+4\,A\,a\,b\,d^2\,e^3+B\,b^2\,d^4\,e+2\,A\,b^2\,d^3\,e^2\right)+x^4\,\left(\frac{5\,B\,a^2\,d^3\,e^2}{2}+\frac{5\,A\,a^2\,d^2\,e^3}{2}+\frac{5\,B\,a\,b\,d^4\,e}{2}+5\,A\,a\,b\,d^3\,e^2+\frac{B\,b^2\,d^5}{4}+\frac{5\,A\,b^2\,d^4\,e}{4}\right)+x^6\,\left(\frac{5\,B\,a^2\,d\,e^4}{6}+\frac{A\,a^2\,e^5}{6}+\frac{10\,B\,a\,b\,d^2\,e^3}{3}+\frac{5\,A\,a\,b\,d\,e^4}{3}+\frac{5\,B\,b^2\,d^3\,e^2}{3}+\frac{5\,A\,b^2\,d^2\,e^3}{3}\right)+x^3\,\left(\frac{5\,B\,a^2\,d^4\,e}{3}+\frac{10\,A\,a^2\,d^3\,e^2}{3}+\frac{2\,B\,a\,b\,d^5}{3}+\frac{10\,A\,a\,b\,d^4\,e}{3}+\frac{A\,b^2\,d^5}{3}\right)+x^7\,\left(\frac{B\,a^2\,e^5}{7}+\frac{10\,B\,a\,b\,d\,e^4}{7}+\frac{2\,A\,a\,b\,e^5}{7}+\frac{10\,B\,b^2\,d^2\,e^3}{7}+\frac{5\,A\,b^2\,d\,e^4}{7}\right)+A\,a^2\,d^5\,x+\frac{a\,d^4\,x^2\,\left(5\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b\,e^4\,x^8\,\left(A\,b\,e+2\,B\,a\,e+5\,B\,b\,d\right)}{8}+\frac{B\,b^2\,e^5\,x^9}{9}","Not used",1,"x^5*(A*a^2*d*e^4 + B*b^2*d^4*e + 2*A*b^2*d^3*e^2 + 2*B*a^2*d^2*e^3 + 4*A*a*b*d^2*e^3 + 4*B*a*b*d^3*e^2) + x^4*((B*b^2*d^5)/4 + (5*A*b^2*d^4*e)/4 + (5*A*a^2*d^2*e^3)/2 + (5*B*a^2*d^3*e^2)/2 + (5*B*a*b*d^4*e)/2 + 5*A*a*b*d^3*e^2) + x^6*((A*a^2*e^5)/6 + (5*B*a^2*d*e^4)/6 + (5*A*b^2*d^2*e^3)/3 + (5*B*b^2*d^3*e^2)/3 + (5*A*a*b*d*e^4)/3 + (10*B*a*b*d^2*e^3)/3) + x^3*((A*b^2*d^5)/3 + (2*B*a*b*d^5)/3 + (5*B*a^2*d^4*e)/3 + (10*A*a^2*d^3*e^2)/3 + (10*A*a*b*d^4*e)/3) + x^7*((B*a^2*e^5)/7 + (2*A*a*b*e^5)/7 + (5*A*b^2*d*e^4)/7 + (10*B*b^2*d^2*e^3)/7 + (10*B*a*b*d*e^4)/7) + A*a^2*d^5*x + (a*d^4*x^2*(5*A*a*e + 2*A*b*d + B*a*d))/2 + (b*e^4*x^8*(A*b*e + 2*B*a*e + 5*B*b*d))/8 + (B*b^2*e^5*x^9)/9","B"
1660,1,305,120,2.052810,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x),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"
1661,1,231,120,0.090825,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x),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"
1662,1,157,118,0.066042,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x),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"
1663,1,98,75,0.044080,"\text{Not used}","int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*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"
1664,1,47,38,1.952771,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x),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"
1665,1,159,92,1.974609,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1666,1,165,101,0.101547,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1667,1,170,106,0.139383,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1668,1,178,101,0.122551,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1669,1,184,86,0.092013,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1670,1,201,120,2.226113,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1671,1,206,120,0.112937,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1672,1,223,120,0.103131,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1673,1,980,206,2.296331,"\text{Not used}","int((A + B*x)*(d + e*x)^7*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^7\,\left(3\,B\,a^4\,d^2\,e^5+A\,a^4\,d\,e^6+20\,B\,a^3\,b\,d^3\,e^4+12\,A\,a^3\,b\,d^2\,e^5+30\,B\,a^2\,b^2\,d^4\,e^3+30\,A\,a^2\,b^2\,d^3\,e^4+12\,B\,a\,b^3\,d^5\,e^2+20\,A\,a\,b^3\,d^4\,e^3+B\,b^4\,d^6\,e+3\,A\,b^4\,d^5\,e^2\right)+x^6\,\left(\frac{35\,B\,a^4\,d^3\,e^4}{6}+\frac{7\,A\,a^4\,d^2\,e^5}{2}+\frac{70\,B\,a^3\,b\,d^4\,e^3}{3}+\frac{70\,A\,a^3\,b\,d^3\,e^4}{3}+21\,B\,a^2\,b^2\,d^5\,e^2+35\,A\,a^2\,b^2\,d^4\,e^3+\frac{14\,B\,a\,b^3\,d^6\,e}{3}+14\,A\,a\,b^3\,d^5\,e^2+\frac{B\,b^4\,d^7}{6}+\frac{7\,A\,b^4\,d^6\,e}{6}\right)+x^8\,\left(\frac{7\,B\,a^4\,d\,e^6}{8}+\frac{A\,a^4\,e^7}{8}+\frac{21\,B\,a^3\,b\,d^2\,e^5}{2}+\frac{7\,A\,a^3\,b\,d\,e^6}{2}+\frac{105\,B\,a^2\,b^2\,d^3\,e^4}{4}+\frac{63\,A\,a^2\,b^2\,d^2\,e^5}{4}+\frac{35\,B\,a\,b^3\,d^4\,e^3}{2}+\frac{35\,A\,a\,b^3\,d^3\,e^4}{2}+\frac{21\,B\,b^4\,d^5\,e^2}{8}+\frac{35\,A\,b^4\,d^4\,e^3}{8}\right)+x^4\,\left(\frac{21\,B\,a^4\,d^5\,e^2}{4}+\frac{35\,A\,a^4\,d^4\,e^3}{4}+7\,B\,a^3\,b\,d^6\,e+21\,A\,a^3\,b\,d^5\,e^2+\frac{3\,B\,a^2\,b^2\,d^7}{2}+\frac{21\,A\,a^2\,b^2\,d^6\,e}{2}+A\,a\,b^3\,d^7\right)+x^{10}\,\left(\frac{2\,B\,a^3\,b\,e^7}{5}+\frac{21\,B\,a^2\,b^2\,d\,e^6}{5}+\frac{3\,A\,a^2\,b^2\,e^7}{5}+\frac{42\,B\,a\,b^3\,d^2\,e^5}{5}+\frac{14\,A\,a\,b^3\,d\,e^6}{5}+\frac{7\,B\,b^4\,d^3\,e^4}{2}+\frac{21\,A\,b^4\,d^2\,e^5}{10}\right)+x^3\,\left(\frac{7\,B\,a^4\,d^6\,e}{3}+7\,A\,a^4\,d^5\,e^2+\frac{4\,B\,a^3\,b\,d^7}{3}+\frac{28\,A\,a^3\,b\,d^6\,e}{3}+2\,A\,a^2\,b^2\,d^7\right)+x^{11}\,\left(\frac{6\,B\,a^2\,b^2\,e^7}{11}+\frac{28\,B\,a\,b^3\,d\,e^6}{11}+\frac{4\,A\,a\,b^3\,e^7}{11}+\frac{21\,B\,b^4\,d^2\,e^5}{11}+\frac{7\,A\,b^4\,d\,e^6}{11}\right)+x^5\,\left(7\,B\,a^4\,d^4\,e^3+7\,A\,a^4\,d^3\,e^4+\frac{84\,B\,a^3\,b\,d^5\,e^2}{5}+28\,A\,a^3\,b\,d^4\,e^3+\frac{42\,B\,a^2\,b^2\,d^6\,e}{5}+\frac{126\,A\,a^2\,b^2\,d^5\,e^2}{5}+\frac{4\,B\,a\,b^3\,d^7}{5}+\frac{28\,A\,a\,b^3\,d^6\,e}{5}+\frac{A\,b^4\,d^7}{5}\right)+x^9\,\left(\frac{B\,a^4\,e^7}{9}+\frac{28\,B\,a^3\,b\,d\,e^6}{9}+\frac{4\,A\,a^3\,b\,e^7}{9}+14\,B\,a^2\,b^2\,d^2\,e^5+\frac{14\,A\,a^2\,b^2\,d\,e^6}{3}+\frac{140\,B\,a\,b^3\,d^3\,e^4}{9}+\frac{28\,A\,a\,b^3\,d^2\,e^5}{3}+\frac{35\,B\,b^4\,d^4\,e^3}{9}+\frac{35\,A\,b^4\,d^3\,e^4}{9}\right)+\frac{a^3\,d^6\,x^2\,\left(7\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e^6\,x^{12}\,\left(A\,b\,e+4\,B\,a\,e+7\,B\,b\,d\right)}{12}+A\,a^4\,d^7\,x+\frac{B\,b^4\,e^7\,x^{13}}{13}","Not used",1,"x^7*(A*a^4*d*e^6 + B*b^4*d^6*e + 3*A*b^4*d^5*e^2 + 3*B*a^4*d^2*e^5 + 20*A*a*b^3*d^4*e^3 + 12*A*a^3*b*d^2*e^5 + 12*B*a*b^3*d^5*e^2 + 20*B*a^3*b*d^3*e^4 + 30*A*a^2*b^2*d^3*e^4 + 30*B*a^2*b^2*d^4*e^3) + x^6*((B*b^4*d^7)/6 + (7*A*b^4*d^6*e)/6 + (7*A*a^4*d^2*e^5)/2 + (35*B*a^4*d^3*e^4)/6 + 14*A*a*b^3*d^5*e^2 + (70*A*a^3*b*d^3*e^4)/3 + (70*B*a^3*b*d^4*e^3)/3 + 35*A*a^2*b^2*d^4*e^3 + 21*B*a^2*b^2*d^5*e^2 + (14*B*a*b^3*d^6*e)/3) + x^8*((A*a^4*e^7)/8 + (7*B*a^4*d*e^6)/8 + (35*A*b^4*d^4*e^3)/8 + (21*B*b^4*d^5*e^2)/8 + (35*A*a*b^3*d^3*e^4)/2 + (35*B*a*b^3*d^4*e^3)/2 + (21*B*a^3*b*d^2*e^5)/2 + (63*A*a^2*b^2*d^2*e^5)/4 + (105*B*a^2*b^2*d^3*e^4)/4 + (7*A*a^3*b*d*e^6)/2) + x^4*(A*a*b^3*d^7 + (3*B*a^2*b^2*d^7)/2 + (35*A*a^4*d^4*e^3)/4 + (21*B*a^4*d^5*e^2)/4 + (21*A*a^2*b^2*d^6*e)/2 + 21*A*a^3*b*d^5*e^2 + 7*B*a^3*b*d^6*e) + x^10*((2*B*a^3*b*e^7)/5 + (3*A*a^2*b^2*e^7)/5 + (21*A*b^4*d^2*e^5)/10 + (7*B*b^4*d^3*e^4)/2 + (42*B*a*b^3*d^2*e^5)/5 + (21*B*a^2*b^2*d*e^6)/5 + (14*A*a*b^3*d*e^6)/5) + x^3*((4*B*a^3*b*d^7)/3 + (7*B*a^4*d^6*e)/3 + 2*A*a^2*b^2*d^7 + 7*A*a^4*d^5*e^2 + (28*A*a^3*b*d^6*e)/3) + x^11*((4*A*a*b^3*e^7)/11 + (7*A*b^4*d*e^6)/11 + (6*B*a^2*b^2*e^7)/11 + (21*B*b^4*d^2*e^5)/11 + (28*B*a*b^3*d*e^6)/11) + x^5*((A*b^4*d^7)/5 + (4*B*a*b^3*d^7)/5 + 7*A*a^4*d^3*e^4 + 7*B*a^4*d^4*e^3 + 28*A*a^3*b*d^4*e^3 + (42*B*a^2*b^2*d^6*e)/5 + (84*B*a^3*b*d^5*e^2)/5 + (126*A*a^2*b^2*d^5*e^2)/5 + (28*A*a*b^3*d^6*e)/5) + x^9*((B*a^4*e^7)/9 + (4*A*a^3*b*e^7)/9 + (35*A*b^4*d^3*e^4)/9 + (35*B*b^4*d^4*e^3)/9 + (28*A*a*b^3*d^2*e^5)/3 + (14*A*a^2*b^2*d*e^6)/3 + (140*B*a*b^3*d^3*e^4)/9 + 14*B*a^2*b^2*d^2*e^5 + (28*B*a^3*b*d*e^6)/9) + (a^3*d^6*x^2*(7*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e^6*x^12*(A*b*e + 4*B*a*e + 7*B*b*d))/12 + A*a^4*d^7*x + (B*b^4*e^7*x^13)/13","B"
1674,1,845,206,2.222579,"\text{Not used}","int((A + B*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^4\,\left(\frac{15\,B\,a^4\,d^4\,e^2}{4}+5\,A\,a^4\,d^3\,e^3+6\,B\,a^3\,b\,d^5\,e+15\,A\,a^3\,b\,d^4\,e^2+\frac{3\,B\,a^2\,b^2\,d^6}{2}+9\,A\,a^2\,b^2\,d^5\,e+A\,a\,b^3\,d^6\right)+x^9\,\left(\frac{4\,B\,a^3\,b\,e^6}{9}+4\,B\,a^2\,b^2\,d\,e^5+\frac{2\,A\,a^2\,b^2\,e^6}{3}+\frac{20\,B\,a\,b^3\,d^2\,e^4}{3}+\frac{8\,A\,a\,b^3\,d\,e^5}{3}+\frac{20\,B\,b^4\,d^3\,e^3}{9}+\frac{5\,A\,b^4\,d^2\,e^4}{3}\right)+x^3\,\left(2\,B\,a^4\,d^5\,e+5\,A\,a^4\,d^4\,e^2+\frac{4\,B\,a^3\,b\,d^6}{3}+8\,A\,a^3\,b\,d^5\,e+2\,A\,a^2\,b^2\,d^6\right)+x^{10}\,\left(\frac{3\,B\,a^2\,b^2\,e^6}{5}+\frac{12\,B\,a\,b^3\,d\,e^5}{5}+\frac{2\,A\,a\,b^3\,e^6}{5}+\frac{3\,B\,b^4\,d^2\,e^4}{2}+\frac{3\,A\,b^4\,d\,e^5}{5}\right)+x^5\,\left(4\,B\,a^4\,d^3\,e^3+3\,A\,a^4\,d^2\,e^4+12\,B\,a^3\,b\,d^4\,e^2+16\,A\,a^3\,b\,d^3\,e^3+\frac{36\,B\,a^2\,b^2\,d^5\,e}{5}+18\,A\,a^2\,b^2\,d^4\,e^2+\frac{4\,B\,a\,b^3\,d^6}{5}+\frac{24\,A\,a\,b^3\,d^5\,e}{5}+\frac{A\,b^4\,d^6}{5}\right)+x^8\,\left(\frac{B\,a^4\,e^6}{8}+3\,B\,a^3\,b\,d\,e^5+\frac{A\,a^3\,b\,e^6}{2}+\frac{45\,B\,a^2\,b^2\,d^2\,e^4}{4}+\frac{9\,A\,a^2\,b^2\,d\,e^5}{2}+10\,B\,a\,b^3\,d^3\,e^3+\frac{15\,A\,a\,b^3\,d^2\,e^4}{2}+\frac{15\,B\,b^4\,d^4\,e^2}{8}+\frac{5\,A\,b^4\,d^3\,e^3}{2}\right)+x^6\,\left(\frac{5\,B\,a^4\,d^2\,e^4}{2}+A\,a^4\,d\,e^5+\frac{40\,B\,a^3\,b\,d^3\,e^3}{3}+10\,A\,a^3\,b\,d^2\,e^4+15\,B\,a^2\,b^2\,d^4\,e^2+20\,A\,a^2\,b^2\,d^3\,e^3+4\,B\,a\,b^3\,d^5\,e+10\,A\,a\,b^3\,d^4\,e^2+\frac{B\,b^4\,d^6}{6}+A\,b^4\,d^5\,e\right)+x^7\,\left(\frac{6\,B\,a^4\,d\,e^5}{7}+\frac{A\,a^4\,e^6}{7}+\frac{60\,B\,a^3\,b\,d^2\,e^4}{7}+\frac{24\,A\,a^3\,b\,d\,e^5}{7}+\frac{120\,B\,a^2\,b^2\,d^3\,e^3}{7}+\frac{90\,A\,a^2\,b^2\,d^2\,e^4}{7}+\frac{60\,B\,a\,b^3\,d^4\,e^2}{7}+\frac{80\,A\,a\,b^3\,d^3\,e^3}{7}+\frac{6\,B\,b^4\,d^5\,e}{7}+\frac{15\,A\,b^4\,d^4\,e^2}{7}\right)+\frac{a^3\,d^5\,x^2\,\left(6\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e^5\,x^{11}\,\left(A\,b\,e+4\,B\,a\,e+6\,B\,b\,d\right)}{11}+A\,a^4\,d^6\,x+\frac{B\,b^4\,e^6\,x^{12}}{12}","Not used",1,"x^4*(A*a*b^3*d^6 + (3*B*a^2*b^2*d^6)/2 + 5*A*a^4*d^3*e^3 + (15*B*a^4*d^4*e^2)/4 + 9*A*a^2*b^2*d^5*e + 15*A*a^3*b*d^4*e^2 + 6*B*a^3*b*d^5*e) + x^9*((4*B*a^3*b*e^6)/9 + (2*A*a^2*b^2*e^6)/3 + (5*A*b^4*d^2*e^4)/3 + (20*B*b^4*d^3*e^3)/9 + (20*B*a*b^3*d^2*e^4)/3 + 4*B*a^2*b^2*d*e^5 + (8*A*a*b^3*d*e^5)/3) + x^3*((4*B*a^3*b*d^6)/3 + 2*B*a^4*d^5*e + 2*A*a^2*b^2*d^6 + 5*A*a^4*d^4*e^2 + 8*A*a^3*b*d^5*e) + x^10*((2*A*a*b^3*e^6)/5 + (3*A*b^4*d*e^5)/5 + (3*B*a^2*b^2*e^6)/5 + (3*B*b^4*d^2*e^4)/2 + (12*B*a*b^3*d*e^5)/5) + x^5*((A*b^4*d^6)/5 + (4*B*a*b^3*d^6)/5 + 3*A*a^4*d^2*e^4 + 4*B*a^4*d^3*e^3 + 16*A*a^3*b*d^3*e^3 + (36*B*a^2*b^2*d^5*e)/5 + 12*B*a^3*b*d^4*e^2 + 18*A*a^2*b^2*d^4*e^2 + (24*A*a*b^3*d^5*e)/5) + x^8*((B*a^4*e^6)/8 + (A*a^3*b*e^6)/2 + (5*A*b^4*d^3*e^3)/2 + (15*B*b^4*d^4*e^2)/8 + (15*A*a*b^3*d^2*e^4)/2 + (9*A*a^2*b^2*d*e^5)/2 + 10*B*a*b^3*d^3*e^3 + (45*B*a^2*b^2*d^2*e^4)/4 + 3*B*a^3*b*d*e^5) + x^6*((B*b^4*d^6)/6 + A*a^4*d*e^5 + A*b^4*d^5*e + (5*B*a^4*d^2*e^4)/2 + 10*A*a*b^3*d^4*e^2 + 10*A*a^3*b*d^2*e^4 + (40*B*a^3*b*d^3*e^3)/3 + 20*A*a^2*b^2*d^3*e^3 + 15*B*a^2*b^2*d^4*e^2 + 4*B*a*b^3*d^5*e) + x^7*((A*a^4*e^6)/7 + (6*B*a^4*d*e^5)/7 + (6*B*b^4*d^5*e)/7 + (15*A*b^4*d^4*e^2)/7 + (80*A*a*b^3*d^3*e^3)/7 + (60*B*a*b^3*d^4*e^2)/7 + (60*B*a^3*b*d^2*e^4)/7 + (90*A*a^2*b^2*d^2*e^4)/7 + (120*B*a^2*b^2*d^3*e^3)/7 + (24*A*a^3*b*d*e^5)/7) + (a^3*d^5*x^2*(6*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e^5*x^11*(A*b*e + 4*B*a*e + 6*B*b*d))/11 + A*a^4*d^6*x + (B*b^4*e^6*x^12)/12","B"
1675,1,711,206,0.251903,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^5\,\left(2\,B\,a^4\,d^2\,e^3+A\,a^4\,d\,e^4+8\,B\,a^3\,b\,d^3\,e^2+8\,A\,a^3\,b\,d^2\,e^3+6\,B\,a^2\,b^2\,d^4\,e+12\,A\,a^2\,b^2\,d^3\,e^2+\frac{4\,B\,a\,b^3\,d^5}{5}+4\,A\,a\,b^3\,d^4\,e+\frac{A\,b^4\,d^5}{5}\right)+x^7\,\left(\frac{B\,a^4\,e^5}{7}+\frac{20\,B\,a^3\,b\,d\,e^4}{7}+\frac{4\,A\,a^3\,b\,e^5}{7}+\frac{60\,B\,a^2\,b^2\,d^2\,e^3}{7}+\frac{30\,A\,a^2\,b^2\,d\,e^4}{7}+\frac{40\,B\,a\,b^3\,d^3\,e^2}{7}+\frac{40\,A\,a\,b^3\,d^2\,e^3}{7}+\frac{5\,B\,b^4\,d^4\,e}{7}+\frac{10\,A\,b^4\,d^3\,e^2}{7}\right)+x^4\,\left(\frac{5\,B\,a^4\,d^3\,e^2}{2}+\frac{5\,A\,a^4\,d^2\,e^3}{2}+5\,B\,a^3\,b\,d^4\,e+10\,A\,a^3\,b\,d^3\,e^2+\frac{3\,B\,a^2\,b^2\,d^5}{2}+\frac{15\,A\,a^2\,b^2\,d^4\,e}{2}+A\,a\,b^3\,d^5\right)+x^8\,\left(\frac{B\,a^3\,b\,e^5}{2}+\frac{15\,B\,a^2\,b^2\,d\,e^4}{4}+\frac{3\,A\,a^2\,b^2\,e^5}{4}+5\,B\,a\,b^3\,d^2\,e^3+\frac{5\,A\,a\,b^3\,d\,e^4}{2}+\frac{5\,B\,b^4\,d^3\,e^2}{4}+\frac{5\,A\,b^4\,d^2\,e^3}{4}\right)+x^3\,\left(\frac{5\,B\,a^4\,d^4\,e}{3}+\frac{10\,A\,a^4\,d^3\,e^2}{3}+\frac{4\,B\,a^3\,b\,d^5}{3}+\frac{20\,A\,a^3\,b\,d^4\,e}{3}+2\,A\,a^2\,b^2\,d^5\right)+x^9\,\left(\frac{2\,B\,a^2\,b^2\,e^5}{3}+\frac{20\,B\,a\,b^3\,d\,e^4}{9}+\frac{4\,A\,a\,b^3\,e^5}{9}+\frac{10\,B\,b^4\,d^2\,e^3}{9}+\frac{5\,A\,b^4\,d\,e^4}{9}\right)+x^6\,\left(\frac{5\,B\,a^4\,d\,e^4}{6}+\frac{A\,a^4\,e^5}{6}+\frac{20\,B\,a^3\,b\,d^2\,e^3}{3}+\frac{10\,A\,a^3\,b\,d\,e^4}{3}+10\,B\,a^2\,b^2\,d^3\,e^2+10\,A\,a^2\,b^2\,d^2\,e^3+\frac{10\,B\,a\,b^3\,d^4\,e}{3}+\frac{20\,A\,a\,b^3\,d^3\,e^2}{3}+\frac{B\,b^4\,d^5}{6}+\frac{5\,A\,b^4\,d^4\,e}{6}\right)+\frac{a^3\,d^4\,x^2\,\left(5\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e^4\,x^{10}\,\left(A\,b\,e+4\,B\,a\,e+5\,B\,b\,d\right)}{10}+A\,a^4\,d^5\,x+\frac{B\,b^4\,e^5\,x^{11}}{11}","Not used",1,"x^5*((A*b^4*d^5)/5 + (4*B*a*b^3*d^5)/5 + A*a^4*d*e^4 + 2*B*a^4*d^2*e^3 + 8*A*a^3*b*d^2*e^3 + 6*B*a^2*b^2*d^4*e + 8*B*a^3*b*d^3*e^2 + 12*A*a^2*b^2*d^3*e^2 + 4*A*a*b^3*d^4*e) + x^7*((B*a^4*e^5)/7 + (4*A*a^3*b*e^5)/7 + (5*B*b^4*d^4*e)/7 + (10*A*b^4*d^3*e^2)/7 + (40*A*a*b^3*d^2*e^3)/7 + (30*A*a^2*b^2*d*e^4)/7 + (40*B*a*b^3*d^3*e^2)/7 + (60*B*a^2*b^2*d^2*e^3)/7 + (20*B*a^3*b*d*e^4)/7) + x^4*(A*a*b^3*d^5 + (3*B*a^2*b^2*d^5)/2 + (5*A*a^4*d^2*e^3)/2 + (5*B*a^4*d^3*e^2)/2 + (15*A*a^2*b^2*d^4*e)/2 + 10*A*a^3*b*d^3*e^2 + 5*B*a^3*b*d^4*e) + x^8*((B*a^3*b*e^5)/2 + (3*A*a^2*b^2*e^5)/4 + (5*A*b^4*d^2*e^3)/4 + (5*B*b^4*d^3*e^2)/4 + 5*B*a*b^3*d^2*e^3 + (15*B*a^2*b^2*d*e^4)/4 + (5*A*a*b^3*d*e^4)/2) + x^3*((4*B*a^3*b*d^5)/3 + (5*B*a^4*d^4*e)/3 + 2*A*a^2*b^2*d^5 + (10*A*a^4*d^3*e^2)/3 + (20*A*a^3*b*d^4*e)/3) + x^9*((4*A*a*b^3*e^5)/9 + (5*A*b^4*d*e^4)/9 + (2*B*a^2*b^2*e^5)/3 + (10*B*b^4*d^2*e^3)/9 + (20*B*a*b^3*d*e^4)/9) + x^6*((A*a^4*e^5)/6 + (B*b^4*d^5)/6 + (5*A*b^4*d^4*e)/6 + (5*B*a^4*d*e^4)/6 + (20*A*a*b^3*d^3*e^2)/3 + (20*B*a^3*b*d^2*e^3)/3 + 10*A*a^2*b^2*d^2*e^3 + 10*B*a^2*b^2*d^3*e^2 + (10*A*a^3*b*d*e^4)/3 + (10*B*a*b^3*d^4*e)/3) + (a^3*d^4*x^2*(5*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e^4*x^10*(A*b*e + 4*B*a*e + 5*B*b*d))/10 + A*a^4*d^5*x + (B*b^4*e^5*x^11)/11","B"
1676,1,576,204,2.168665,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^5\,\left(\frac{4\,B\,a^4\,d\,e^3}{5}+\frac{A\,a^4\,e^4}{5}+\frac{24\,B\,a^3\,b\,d^2\,e^2}{5}+\frac{16\,A\,a^3\,b\,d\,e^3}{5}+\frac{24\,B\,a^2\,b^2\,d^3\,e}{5}+\frac{36\,A\,a^2\,b^2\,d^2\,e^2}{5}+\frac{4\,B\,a\,b^3\,d^4}{5}+\frac{16\,A\,a\,b^3\,d^3\,e}{5}+\frac{A\,b^4\,d^4}{5}\right)+x^6\,\left(\frac{B\,a^4\,e^4}{6}+\frac{8\,B\,a^3\,b\,d\,e^3}{3}+\frac{2\,A\,a^3\,b\,e^4}{3}+6\,B\,a^2\,b^2\,d^2\,e^2+4\,A\,a^2\,b^2\,d\,e^3+\frac{8\,B\,a\,b^3\,d^3\,e}{3}+4\,A\,a\,b^3\,d^2\,e^2+\frac{B\,b^4\,d^4}{6}+\frac{2\,A\,b^4\,d^3\,e}{3}\right)+x^3\,\left(\frac{4\,B\,a^4\,d^3\,e}{3}+2\,A\,a^4\,d^2\,e^2+\frac{4\,B\,a^3\,b\,d^4}{3}+\frac{16\,A\,a^3\,b\,d^3\,e}{3}+2\,A\,a^2\,b^2\,d^4\right)+x^8\,\left(\frac{3\,B\,a^2\,b^2\,e^4}{4}+2\,B\,a\,b^3\,d\,e^3+\frac{A\,a\,b^3\,e^4}{2}+\frac{3\,B\,b^4\,d^2\,e^2}{4}+\frac{A\,b^4\,d\,e^3}{2}\right)+x^4\,\left(\frac{3\,B\,a^4\,d^2\,e^2}{2}+A\,a^4\,d\,e^3+4\,B\,a^3\,b\,d^3\,e+6\,A\,a^3\,b\,d^2\,e^2+\frac{3\,B\,a^2\,b^2\,d^4}{2}+6\,A\,a^2\,b^2\,d^3\,e+A\,a\,b^3\,d^4\right)+x^7\,\left(\frac{4\,B\,a^3\,b\,e^4}{7}+\frac{24\,B\,a^2\,b^2\,d\,e^3}{7}+\frac{6\,A\,a^2\,b^2\,e^4}{7}+\frac{24\,B\,a\,b^3\,d^2\,e^2}{7}+\frac{16\,A\,a\,b^3\,d\,e^3}{7}+\frac{4\,B\,b^4\,d^3\,e}{7}+\frac{6\,A\,b^4\,d^2\,e^2}{7}\right)+\frac{a^3\,d^3\,x^2\,\left(4\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e^3\,x^9\,\left(A\,b\,e+4\,B\,a\,e+4\,B\,b\,d\right)}{9}+A\,a^4\,d^4\,x+\frac{B\,b^4\,e^4\,x^{10}}{10}","Not used",1,"x^5*((A*a^4*e^4)/5 + (A*b^4*d^4)/5 + (4*B*a*b^3*d^4)/5 + (4*B*a^4*d*e^3)/5 + (24*B*a^2*b^2*d^3*e)/5 + (24*B*a^3*b*d^2*e^2)/5 + (36*A*a^2*b^2*d^2*e^2)/5 + (16*A*a*b^3*d^3*e)/5 + (16*A*a^3*b*d*e^3)/5) + x^6*((B*a^4*e^4)/6 + (B*b^4*d^4)/6 + (2*A*a^3*b*e^4)/3 + (2*A*b^4*d^3*e)/3 + 4*A*a*b^3*d^2*e^2 + 4*A*a^2*b^2*d*e^3 + 6*B*a^2*b^2*d^2*e^2 + (8*B*a*b^3*d^3*e)/3 + (8*B*a^3*b*d*e^3)/3) + x^3*((4*B*a^3*b*d^4)/3 + (4*B*a^4*d^3*e)/3 + 2*A*a^2*b^2*d^4 + 2*A*a^4*d^2*e^2 + (16*A*a^3*b*d^3*e)/3) + x^8*((A*a*b^3*e^4)/2 + (A*b^4*d*e^3)/2 + (3*B*a^2*b^2*e^4)/4 + (3*B*b^4*d^2*e^2)/4 + 2*B*a*b^3*d*e^3) + x^4*(A*a*b^3*d^4 + A*a^4*d*e^3 + (3*B*a^2*b^2*d^4)/2 + (3*B*a^4*d^2*e^2)/2 + 6*A*a^2*b^2*d^3*e + 6*A*a^3*b*d^2*e^2 + 4*B*a^3*b*d^3*e) + x^7*((4*B*a^3*b*e^4)/7 + (4*B*b^4*d^3*e)/7 + (6*A*a^2*b^2*e^4)/7 + (6*A*b^4*d^2*e^2)/7 + (24*B*a*b^3*d^2*e^2)/7 + (24*B*a^2*b^2*d*e^3)/7 + (16*A*a*b^3*d*e^3)/7) + (a^3*d^3*x^2*(4*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e^3*x^9*(A*b*e + 4*B*a*e + 4*B*b*d))/9 + A*a^4*d^4*x + (B*b^4*e^4*x^10)/10","B"
1677,1,439,159,0.151308,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^3\,\left(B\,a^4\,d^2\,e+A\,a^4\,d\,e^2+\frac{4\,B\,a^3\,b\,d^3}{3}+4\,A\,a^3\,b\,d^2\,e+2\,A\,a^2\,b^2\,d^3\right)+x^7\,\left(\frac{6\,B\,a^2\,b^2\,e^3}{7}+\frac{12\,B\,a\,b^3\,d\,e^2}{7}+\frac{4\,A\,a\,b^3\,e^3}{7}+\frac{3\,B\,b^4\,d^2\,e}{7}+\frac{3\,A\,b^4\,d\,e^2}{7}\right)+x^5\,\left(\frac{B\,a^4\,e^3}{5}+\frac{12\,B\,a^3\,b\,d\,e^2}{5}+\frac{4\,A\,a^3\,b\,e^3}{5}+\frac{18\,B\,a^2\,b^2\,d^2\,e}{5}+\frac{18\,A\,a^2\,b^2\,d\,e^2}{5}+\frac{4\,B\,a\,b^3\,d^3}{5}+\frac{12\,A\,a\,b^3\,d^2\,e}{5}+\frac{A\,b^4\,d^3}{5}\right)+x^4\,\left(\frac{3\,B\,a^4\,d\,e^2}{4}+\frac{A\,a^4\,e^3}{4}+3\,B\,a^3\,b\,d^2\,e+3\,A\,a^3\,b\,d\,e^2+\frac{3\,B\,a^2\,b^2\,d^3}{2}+\frac{9\,A\,a^2\,b^2\,d^2\,e}{2}+A\,a\,b^3\,d^3\right)+x^6\,\left(\frac{2\,B\,a^3\,b\,e^3}{3}+3\,B\,a^2\,b^2\,d\,e^2+A\,a^2\,b^2\,e^3+2\,B\,a\,b^3\,d^2\,e+2\,A\,a\,b^3\,d\,e^2+\frac{B\,b^4\,d^3}{6}+\frac{A\,b^4\,d^2\,e}{2}\right)+\frac{a^3\,d^2\,x^2\,\left(3\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e^2\,x^8\,\left(A\,b\,e+4\,B\,a\,e+3\,B\,b\,d\right)}{8}+A\,a^4\,d^3\,x+\frac{B\,b^4\,e^3\,x^9}{9}","Not used",1,"x^3*((4*B*a^3*b*d^3)/3 + A*a^4*d*e^2 + B*a^4*d^2*e + 2*A*a^2*b^2*d^3 + 4*A*a^3*b*d^2*e) + x^7*((4*A*a*b^3*e^3)/7 + (3*A*b^4*d*e^2)/7 + (3*B*b^4*d^2*e)/7 + (6*B*a^2*b^2*e^3)/7 + (12*B*a*b^3*d*e^2)/7) + x^5*((A*b^4*d^3)/5 + (B*a^4*e^3)/5 + (4*A*a^3*b*e^3)/5 + (4*B*a*b^3*d^3)/5 + (18*A*a^2*b^2*d*e^2)/5 + (18*B*a^2*b^2*d^2*e)/5 + (12*A*a*b^3*d^2*e)/5 + (12*B*a^3*b*d*e^2)/5) + x^4*((A*a^4*e^3)/4 + A*a*b^3*d^3 + (3*B*a^4*d*e^2)/4 + (3*B*a^2*b^2*d^3)/2 + (9*A*a^2*b^2*d^2*e)/2 + 3*A*a^3*b*d*e^2 + 3*B*a^3*b*d^2*e) + x^6*((B*b^4*d^3)/6 + (2*B*a^3*b*e^3)/3 + (A*b^4*d^2*e)/2 + A*a^2*b^2*e^3 + 3*B*a^2*b^2*d*e^2 + 2*A*a*b^3*d*e^2 + 2*B*a*b^3*d^2*e) + (a^3*d^2*x^2*(3*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e^2*x^8*(A*b*e + 4*B*a*e + 3*B*b*d))/8 + A*a^4*d^3*x + (B*b^4*e^3*x^9)/9","B"
1678,1,305,118,2.062262,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^4\,\left(\frac{B\,a^4\,e^2}{4}+2\,B\,a^3\,b\,d\,e+A\,a^3\,b\,e^2+\frac{3\,B\,a^2\,b^2\,d^2}{2}+3\,A\,a^2\,b^2\,d\,e+A\,a\,b^3\,d^2\right)+x^5\,\left(\frac{4\,B\,a^3\,b\,e^2}{5}+\frac{12\,B\,a^2\,b^2\,d\,e}{5}+\frac{6\,A\,a^2\,b^2\,e^2}{5}+\frac{4\,B\,a\,b^3\,d^2}{5}+\frac{8\,A\,a\,b^3\,d\,e}{5}+\frac{A\,b^4\,d^2}{5}\right)+x^3\,\left(\frac{2\,B\,a^4\,d\,e}{3}+\frac{A\,a^4\,e^2}{3}+\frac{4\,B\,a^3\,b\,d^2}{3}+\frac{8\,A\,a^3\,b\,d\,e}{3}+2\,A\,a^2\,b^2\,d^2\right)+x^6\,\left(B\,a^2\,b^2\,e^2+\frac{4\,B\,a\,b^3\,d\,e}{3}+\frac{2\,A\,a\,b^3\,e^2}{3}+\frac{B\,b^4\,d^2}{6}+\frac{A\,b^4\,d\,e}{3}\right)+A\,a^4\,d^2\,x+\frac{a^3\,d\,x^2\,\left(2\,A\,a\,e+4\,A\,b\,d+B\,a\,d\right)}{2}+\frac{b^3\,e\,x^7\,\left(A\,b\,e+4\,B\,a\,e+2\,B\,b\,d\right)}{7}+\frac{B\,b^4\,e^2\,x^8}{8}","Not used",1,"x^4*((B*a^4*e^2)/4 + A*a*b^3*d^2 + A*a^3*b*e^2 + (3*B*a^2*b^2*d^2)/2 + 2*B*a^3*b*d*e + 3*A*a^2*b^2*d*e) + x^5*((A*b^4*d^2)/5 + (4*B*a*b^3*d^2)/5 + (4*B*a^3*b*e^2)/5 + (6*A*a^2*b^2*e^2)/5 + (8*A*a*b^3*d*e)/5 + (12*B*a^2*b^2*d*e)/5) + x^3*((A*a^4*e^2)/3 + (2*B*a^4*d*e)/3 + (4*B*a^3*b*d^2)/3 + 2*A*a^2*b^2*d^2 + (8*A*a^3*b*d*e)/3) + x^6*((B*b^4*d^2)/6 + (A*b^4*d*e)/3 + (2*A*a*b^3*e^2)/3 + B*a^2*b^2*e^2 + (4*B*a*b^3*d*e)/3) + A*a^4*d^2*x + (a^3*d*x^2*(2*A*a*e + 4*A*b*d + B*a*d))/2 + (b^3*e*x^7*(A*b*e + 4*B*a*e + 2*B*b*d))/7 + (B*b^4*e^2*x^8)/8","B"
1679,1,182,75,0.090998,"\text{Not used}","int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^3\,\left(\frac{B\,a^4\,e}{3}+\frac{4\,A\,a^3\,b\,e}{3}+\frac{4\,B\,a^3\,b\,d}{3}+2\,A\,a^2\,b^2\,d\right)+x^5\,\left(\frac{A\,b^4\,d}{5}+\frac{4\,A\,a\,b^3\,e}{5}+\frac{4\,B\,a\,b^3\,d}{5}+\frac{6\,B\,a^2\,b^2\,e}{5}\right)+x^2\,\left(\frac{A\,a^4\,e}{2}+\frac{B\,a^4\,d}{2}+2\,A\,a^3\,b\,d\right)+x^6\,\left(\frac{A\,b^4\,e}{6}+\frac{B\,b^4\,d}{6}+\frac{2\,B\,a\,b^3\,e}{3}\right)+A\,a^4\,d\,x+\frac{a\,b\,x^4\,\left(2\,A\,b^2\,d+2\,B\,a^2\,e+3\,A\,a\,b\,e+3\,B\,a\,b\,d\right)}{2}+\frac{B\,b^4\,e\,x^7}{7}","Not used",1,"x^3*((B*a^4*e)/3 + (4*A*a^3*b*e)/3 + (4*B*a^3*b*d)/3 + 2*A*a^2*b^2*d) + x^5*((A*b^4*d)/5 + (4*A*a*b^3*e)/5 + (4*B*a*b^3*d)/5 + (6*B*a^2*b^2*e)/5) + x^2*((A*a^4*e)/2 + (B*a^4*d)/2 + 2*A*a^3*b*d) + x^6*((A*b^4*e)/6 + (B*b^4*d)/6 + (2*B*a*b^3*e)/3) + A*a^4*d*x + (a*b*x^4*(2*A*b^2*d + 2*B*a^2*e + 3*A*a*b*e + 3*B*a*b*d))/2 + (B*b^4*e*x^7)/7","B"
1680,1,88,38,2.004219,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^2\,\left(\frac{B\,a^4}{2}+2\,A\,b\,a^3\right)+x^5\,\left(\frac{A\,b^4}{5}+\frac{4\,B\,a\,b^3}{5}\right)+\frac{B\,b^4\,x^6}{6}+A\,a^4\,x+\frac{2\,a^2\,b\,x^3\,\left(3\,A\,b+2\,B\,a\right)}{3}+\frac{a\,b^2\,x^4\,\left(2\,A\,b+3\,B\,a\right)}{2}","Not used",1,"x^2*((B*a^4)/2 + 2*A*a^3*b) + x^5*((A*b^4)/5 + (4*B*a*b^3)/5) + (B*b^4*x^6)/6 + A*a^4*x + (2*a^2*b*x^3*(3*A*b + 2*B*a))/3 + (a*b^2*x^4*(2*A*b + 3*B*a))/2","B"
1681,1,411,156,0.081810,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x),x)","x\,\left(\frac{B\,a^4+4\,A\,b\,a^3}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e}-\frac{B\,b^4\,d}{e^2}\right)}{e}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{e}\right)}{e}+\frac{2\,a^2\,b\,\left(3\,A\,b+2\,B\,a\right)}{e}\right)}{e}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e}-\frac{B\,b^4\,d}{e^2}\right)}{3\,e}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{3\,e}\right)+x^4\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{4\,e}-\frac{B\,b^4\,d}{4\,e^2}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e}-\frac{B\,b^4\,d}{e^2}\right)}{e}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{e}\right)}{2\,e}+\frac{a^2\,b\,\left(3\,A\,b+2\,B\,a\right)}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^4\,d\,e^4+A\,a^4\,e^5+4\,B\,a^3\,b\,d^2\,e^3-4\,A\,a^3\,b\,d\,e^4-6\,B\,a^2\,b^2\,d^3\,e^2+6\,A\,a^2\,b^2\,d^2\,e^3+4\,B\,a\,b^3\,d^4\,e-4\,A\,a\,b^3\,d^3\,e^2-B\,b^4\,d^5+A\,b^4\,d^4\,e\right)}{e^6}+\frac{B\,b^4\,x^5}{5\,e}","Not used",1,"x*((B*a^4 + 4*A*a^3*b)/e - (d*((d*((d*((A*b^4 + 4*B*a*b^3)/e - (B*b^4*d)/e^2))/e - (2*a*b^2*(2*A*b + 3*B*a))/e))/e + (2*a^2*b*(3*A*b + 2*B*a))/e))/e) - x^3*((d*((A*b^4 + 4*B*a*b^3)/e - (B*b^4*d)/e^2))/(3*e) - (2*a*b^2*(2*A*b + 3*B*a))/(3*e)) + x^4*((A*b^4 + 4*B*a*b^3)/(4*e) - (B*b^4*d)/(4*e^2)) + x^2*((d*((d*((A*b^4 + 4*B*a*b^3)/e - (B*b^4*d)/e^2))/e - (2*a*b^2*(2*A*b + 3*B*a))/e))/(2*e) + (a^2*b*(3*A*b + 2*B*a))/e) + (log(d + e*x)*(A*a^4*e^5 - B*b^4*d^5 + A*b^4*d^4*e - B*a^4*d*e^4 - 4*A*a*b^3*d^3*e^2 + 4*B*a^3*b*d^2*e^3 + 6*A*a^2*b^2*d^2*e^3 - 6*B*a^2*b^2*d^3*e^2 - 4*A*a^3*b*d*e^4 + 4*B*a*b^3*d^4*e))/e^6 + (B*b^4*x^5)/(5*e)","B"
1682,1,486,188,0.104989,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^2,x)","x^3\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{3\,e^2}-\frac{2\,B\,b^4\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e^2}-\frac{2\,B\,b^4\,d}{e^3}\right)}{e}-\frac{a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{e^2}+\frac{B\,b^4\,d^2}{2\,e^4}\right)+x\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e^2}-\frac{2\,B\,b^4\,d}{e^3}\right)}{e}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{e^2}+\frac{B\,b^4\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e^2}-\frac{2\,B\,b^4\,d}{e^3}\right)}{e^2}+\frac{2\,a^2\,b\,\left(3\,A\,b+2\,B\,a\right)}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^4\,e^4-8\,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^3-16\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4-4\,A\,b^4\,d^3\,e\right)}{e^6}-\frac{-B\,a^4\,d\,e^4+A\,a^4\,e^5+4\,B\,a^3\,b\,d^2\,e^3-4\,A\,a^3\,b\,d\,e^4-6\,B\,a^2\,b^2\,d^3\,e^2+6\,A\,a^2\,b^2\,d^2\,e^3+4\,B\,a\,b^3\,d^4\,e-4\,A\,a\,b^3\,d^3\,e^2-B\,b^4\,d^5+A\,b^4\,d^4\,e}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{B\,b^4\,x^4}{4\,e^2}","Not used",1,"x^3*((A*b^4 + 4*B*a*b^3)/(3*e^2) - (2*B*b^4*d)/(3*e^3)) - x^2*((d*((A*b^4 + 4*B*a*b^3)/e^2 - (2*B*b^4*d)/e^3))/e - (a*b^2*(2*A*b + 3*B*a))/e^2 + (B*b^4*d^2)/(2*e^4)) + x*((2*d*((2*d*((A*b^4 + 4*B*a*b^3)/e^2 - (2*B*b^4*d)/e^3))/e - (2*a*b^2*(2*A*b + 3*B*a))/e^2 + (B*b^4*d^2)/e^4))/e - (d^2*((A*b^4 + 4*B*a*b^3)/e^2 - (2*B*b^4*d)/e^3))/e^2 + (2*a^2*b*(3*A*b + 2*B*a))/e^2) + (log(d + e*x)*(B*a^4*e^4 + 5*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 - 16*B*a*b^3*d^3*e - 8*B*a^3*b*d*e^3))/e^6 - (A*a^4*e^5 - B*b^4*d^5 + A*b^4*d^4*e - B*a^4*d*e^4 - 4*A*a*b^3*d^3*e^2 + 4*B*a^3*b*d^2*e^3 + 6*A*a^2*b^2*d^2*e^3 - 6*B*a^2*b^2*d^3*e^2 - 4*A*a^3*b*d*e^4 + 4*B*a*b^3*d^4*e)/(e*(d*e^5 + e^6*x)) + (B*b^4*x^4)/(4*e^2)","B"
1683,1,451,193,2.052374,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^3,x)","x^2\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{2\,e^3}-\frac{3\,B\,b^4\,d}{2\,e^4}\right)-\frac{\frac{B\,a^4\,d\,e^4+A\,a^4\,e^5-12\,B\,a^3\,b\,d^2\,e^3+4\,A\,a^3\,b\,d\,e^4+30\,B\,a^2\,b^2\,d^3\,e^2-18\,A\,a^2\,b^2\,d^2\,e^3-28\,B\,a\,b^3\,d^4\,e+20\,A\,a\,b^3\,d^3\,e^2+9\,B\,b^4\,d^5-7\,A\,b^4\,d^4\,e}{2\,e}+x\,\left(B\,a^4\,e^4-8\,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^3-16\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4-4\,A\,b^4\,d^3\,e\right)}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}-x\,\left(\frac{3\,d\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e^3}-\frac{3\,B\,b^4\,d}{e^4}\right)}{e}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{e^3}+\frac{3\,B\,b^4\,d^2}{e^5}\right)+\frac{\ln\left(d+e\,x\right)\,\left(4\,B\,a^3\,b\,e^3-18\,B\,a^2\,b^2\,d\,e^2+6\,A\,a^2\,b^2\,e^3+24\,B\,a\,b^3\,d^2\,e-12\,A\,a\,b^3\,d\,e^2-10\,B\,b^4\,d^3+6\,A\,b^4\,d^2\,e\right)}{e^6}+\frac{B\,b^4\,x^3}{3\,e^3}","Not used",1,"x^2*((A*b^4 + 4*B*a*b^3)/(2*e^3) - (3*B*b^4*d)/(2*e^4)) - ((A*a^4*e^5 + 9*B*b^4*d^5 - 7*A*b^4*d^4*e + B*a^4*d*e^4 + 20*A*a*b^3*d^3*e^2 - 12*B*a^3*b*d^2*e^3 - 18*A*a^2*b^2*d^2*e^3 + 30*B*a^2*b^2*d^3*e^2 + 4*A*a^3*b*d*e^4 - 28*B*a*b^3*d^4*e)/(2*e) + x*(B*a^4*e^4 + 5*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 - 16*B*a*b^3*d^3*e - 8*B*a^3*b*d*e^3))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) - x*((3*d*((A*b^4 + 4*B*a*b^3)/e^3 - (3*B*b^4*d)/e^4))/e - (2*a*b^2*(2*A*b + 3*B*a))/e^3 + (3*B*b^4*d^2)/e^5) + (log(d + e*x)*(4*B*a^3*b*e^3 - 10*B*b^4*d^3 + 6*A*b^4*d^2*e + 6*A*a^2*b^2*e^3 - 18*B*a^2*b^2*d*e^2 - 12*A*a*b^3*d*e^2 + 24*B*a*b^3*d^2*e))/e^6 + (B*b^4*x^3)/(3*e^3)","B"
1684,1,451,189,0.172681,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^4,x)","x\,\left(\frac{A\,b^4+4\,B\,a\,b^3}{e^4}-\frac{4\,B\,b^4\,d}{e^5}\right)-\frac{\frac{B\,a^4\,d\,e^4+2\,A\,a^4\,e^5+8\,B\,a^3\,b\,d^2\,e^3+4\,A\,a^3\,b\,d\,e^4-66\,B\,a^2\,b^2\,d^3\,e^2+12\,A\,a^2\,b^2\,d^2\,e^3+104\,B\,a\,b^3\,d^4\,e-44\,A\,a\,b^3\,d^3\,e^2-47\,B\,b^4\,d^5+26\,A\,b^4\,d^4\,e}{6\,e}+x\,\left(\frac{B\,a^4\,e^4}{2}+4\,B\,a^3\,b\,d\,e^3+2\,A\,a^3\,b\,e^4-27\,B\,a^2\,b^2\,d^2\,e^2+6\,A\,a^2\,b^2\,d\,e^3+40\,B\,a\,b^3\,d^3\,e-18\,A\,a\,b^3\,d^2\,e^2-\frac{35\,B\,b^4\,d^4}{2}+10\,A\,b^4\,d^3\,e\right)+x^2\,\left(4\,B\,a^3\,b\,e^4-18\,B\,a^2\,b^2\,d\,e^3+6\,A\,a^2\,b^2\,e^4+24\,B\,a\,b^3\,d^2\,e^2-12\,A\,a\,b^3\,d\,e^3-10\,B\,b^4\,d^3\,e+6\,A\,b^4\,d^2\,e^2\right)}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(6\,B\,a^2\,b^2\,e^2-16\,B\,a\,b^3\,d\,e+4\,A\,a\,b^3\,e^2+10\,B\,b^4\,d^2-4\,A\,b^4\,d\,e\right)}{e^6}+\frac{B\,b^4\,x^2}{2\,e^4}","Not used",1,"x*((A*b^4 + 4*B*a*b^3)/e^4 - (4*B*b^4*d)/e^5) - ((2*A*a^4*e^5 - 47*B*b^4*d^5 + 26*A*b^4*d^4*e + B*a^4*d*e^4 - 44*A*a*b^3*d^3*e^2 + 8*B*a^3*b*d^2*e^3 + 12*A*a^2*b^2*d^2*e^3 - 66*B*a^2*b^2*d^3*e^2 + 4*A*a^3*b*d*e^4 + 104*B*a*b^3*d^4*e)/(6*e) + x*((B*a^4*e^4)/2 - (35*B*b^4*d^4)/2 + 2*A*a^3*b*e^4 + 10*A*b^4*d^3*e - 18*A*a*b^3*d^2*e^2 + 6*A*a^2*b^2*d*e^3 - 27*B*a^2*b^2*d^2*e^2 + 40*B*a*b^3*d^3*e + 4*B*a^3*b*d*e^3) + x^2*(4*B*a^3*b*e^4 - 10*B*b^4*d^3*e + 6*A*a^2*b^2*e^4 + 6*A*b^4*d^2*e^2 + 24*B*a*b^3*d^2*e^2 - 18*B*a^2*b^2*d*e^3 - 12*A*a*b^3*d*e^3))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (log(d + e*x)*(10*B*b^4*d^2 - 4*A*b^4*d*e + 4*A*a*b^3*e^2 + 6*B*a^2*b^2*e^2 - 16*B*a*b^3*d*e))/e^6 + (B*b^4*x^2)/(2*e^4)","B"
1685,1,462,189,2.401793,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^5,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,b^4\,e-5\,B\,b^4\,d+4\,B\,a\,b^3\,e\right)}{e^6}-\frac{x^3\,\left(6\,B\,a^2\,b^2\,e^4-16\,B\,a\,b^3\,d\,e^3+4\,A\,a\,b^3\,e^4+10\,B\,b^4\,d^2\,e^2-4\,A\,b^4\,d\,e^3\right)+\frac{B\,a^4\,d\,e^4+3\,A\,a^4\,e^5+4\,B\,a^3\,b\,d^2\,e^3+4\,A\,a^3\,b\,d\,e^4+18\,B\,a^2\,b^2\,d^3\,e^2+6\,A\,a^2\,b^2\,d^2\,e^3-100\,B\,a\,b^3\,d^4\,e+12\,A\,a\,b^3\,d^3\,e^2+77\,B\,b^4\,d^5-25\,A\,b^4\,d^4\,e}{12\,e}+x\,\left(\frac{B\,a^4\,e^4}{3}+\frac{4\,B\,a^3\,b\,d\,e^3}{3}+\frac{4\,A\,a^3\,b\,e^4}{3}+6\,B\,a^2\,b^2\,d^2\,e^2+2\,A\,a^2\,b^2\,d\,e^3-\frac{88\,B\,a\,b^3\,d^3\,e}{3}+4\,A\,a\,b^3\,d^2\,e^2+\frac{65\,B\,b^4\,d^4}{3}-\frac{22\,A\,b^4\,d^3\,e}{3}\right)+x^2\,\left(2\,B\,a^3\,b\,e^4+9\,B\,a^2\,b^2\,d\,e^3+3\,A\,a^2\,b^2\,e^4-36\,B\,a\,b^3\,d^2\,e^2+6\,A\,a\,b^3\,d\,e^3+25\,B\,b^4\,d^3\,e-9\,A\,b^4\,d^2\,e^2\right)}{d^4\,e^5+4\,d^3\,e^6\,x+6\,d^2\,e^7\,x^2+4\,d\,e^8\,x^3+e^9\,x^4}+\frac{B\,b^4\,x}{e^5}","Not used",1,"(log(d + e*x)*(A*b^4*e - 5*B*b^4*d + 4*B*a*b^3*e))/e^6 - (x^3*(4*A*a*b^3*e^4 - 4*A*b^4*d*e^3 + 6*B*a^2*b^2*e^4 + 10*B*b^4*d^2*e^2 - 16*B*a*b^3*d*e^3) + (3*A*a^4*e^5 + 77*B*b^4*d^5 - 25*A*b^4*d^4*e + B*a^4*d*e^4 + 12*A*a*b^3*d^3*e^2 + 4*B*a^3*b*d^2*e^3 + 6*A*a^2*b^2*d^2*e^3 + 18*B*a^2*b^2*d^3*e^2 + 4*A*a^3*b*d*e^4 - 100*B*a*b^3*d^4*e)/(12*e) + x*((B*a^4*e^4)/3 + (65*B*b^4*d^4)/3 + (4*A*a^3*b*e^4)/3 - (22*A*b^4*d^3*e)/3 + 4*A*a*b^3*d^2*e^2 + 2*A*a^2*b^2*d*e^3 + 6*B*a^2*b^2*d^2*e^2 - (88*B*a*b^3*d^3*e)/3 + (4*B*a^3*b*d*e^3)/3) + x^2*(2*B*a^3*b*e^4 + 25*B*b^4*d^3*e + 3*A*a^2*b^2*e^4 - 9*A*b^4*d^2*e^2 - 36*B*a*b^3*d^2*e^2 + 9*B*a^2*b^2*d*e^3 + 6*A*a*b^3*d*e^3))/(d^4*e^5 + e^9*x^4 + 4*d^3*e^6*x + 4*d*e^8*x^3 + 6*d^2*e^7*x^2) + (B*b^4*x)/e^5","B"
1686,1,465,155,0.199134,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^6,x)","\frac{B\,b^4\,\ln\left(d+e\,x\right)}{e^6}-\frac{\frac{3\,B\,a^4\,d\,e^4+12\,A\,a^4\,e^5+8\,B\,a^3\,b\,d^2\,e^3+12\,A\,a^3\,b\,d\,e^4+18\,B\,a^2\,b^2\,d^3\,e^2+12\,A\,a^2\,b^2\,d^2\,e^3+48\,B\,a\,b^3\,d^4\,e+12\,A\,a\,b^3\,d^3\,e^2-137\,B\,b^4\,d^5+12\,A\,b^4\,d^4\,e}{60\,e^6}+\frac{x\,\left(3\,B\,a^4\,e^4+8\,B\,a^3\,b\,d\,e^3+12\,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+48\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2-125\,B\,b^4\,d^4+12\,A\,b^4\,d^3\,e\right)}{12\,e^5}+\frac{x^2\,\left(4\,B\,a^3\,b\,e^3+9\,B\,a^2\,b^2\,d\,e^2+6\,A\,a^2\,b^2\,e^3+24\,B\,a\,b^3\,d^2\,e+6\,A\,a\,b^3\,d\,e^2-55\,B\,b^4\,d^3+6\,A\,b^4\,d^2\,e\right)}{3\,e^4}+\frac{x^3\,\left(3\,B\,a^2\,b^2\,e^2+8\,B\,a\,b^3\,d\,e+2\,A\,a\,b^3\,e^2-15\,B\,b^4\,d^2+2\,A\,b^4\,d\,e\right)}{e^3}+\frac{b^3\,x^4\,\left(A\,b\,e+4\,B\,a\,e-5\,B\,b\,d\right)}{e^2}}{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,"(B*b^4*log(d + e*x))/e^6 - ((12*A*a^4*e^5 - 137*B*b^4*d^5 + 12*A*b^4*d^4*e + 3*B*a^4*d*e^4 + 12*A*a*b^3*d^3*e^2 + 8*B*a^3*b*d^2*e^3 + 12*A*a^2*b^2*d^2*e^3 + 18*B*a^2*b^2*d^3*e^2 + 12*A*a^3*b*d*e^4 + 48*B*a*b^3*d^4*e)/(60*e^6) + (x*(3*B*a^4*e^4 - 125*B*b^4*d^4 + 12*A*a^3*b*e^4 + 12*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 + 48*B*a*b^3*d^3*e + 8*B*a^3*b*d*e^3))/(12*e^5) + (x^2*(4*B*a^3*b*e^3 - 55*B*b^4*d^3 + 6*A*b^4*d^2*e + 6*A*a^2*b^2*e^3 + 9*B*a^2*b^2*d*e^2 + 6*A*a*b^3*d*e^2 + 24*B*a*b^3*d^2*e))/(3*e^4) + (x^3*(2*A*b^4*d*e - 15*B*b^4*d^2 + 2*A*a*b^3*e^2 + 3*B*a^2*b^2*e^2 + 8*B*a*b^3*d*e))/e^3 + (b^3*x^4*(A*b*e + 4*B*a*e - 5*B*b*d))/e^2)/(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"
1687,1,460,86,2.223135,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^7,x)","-\frac{\frac{B\,a^4\,d\,e^4+5\,A\,a^4\,e^5+2\,B\,a^3\,b\,d^2\,e^3+4\,A\,a^3\,b\,d\,e^4+3\,B\,a^2\,b^2\,d^3\,e^2+3\,A\,a^2\,b^2\,d^2\,e^3+4\,B\,a\,b^3\,d^4\,e+2\,A\,a\,b^3\,d^3\,e^2+5\,B\,b^4\,d^5+A\,b^4\,d^4\,e}{30\,e^6}+\frac{x\,\left(B\,a^4\,e^4+2\,B\,a^3\,b\,d\,e^3+4\,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+4\,B\,a\,b^3\,d^3\,e+2\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4+A\,b^4\,d^3\,e\right)}{5\,e^5}+\frac{b^3\,x^4\,\left(A\,b\,e+4\,B\,a\,e+5\,B\,b\,d\right)}{2\,e^2}+\frac{b\,x^2\,\left(2\,B\,a^3\,e^3+3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+4\,B\,a\,b^2\,d^2\,e+2\,A\,a\,b^2\,d\,e^2+5\,B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{2\,e^4}+\frac{2\,b^2\,x^3\,\left(3\,B\,a^2\,e^2+4\,B\,a\,b\,d\,e+2\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+A\,b^2\,d\,e\right)}{3\,e^3}+\frac{B\,b^4\,x^5}{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,"-((5*A*a^4*e^5 + 5*B*b^4*d^5 + A*b^4*d^4*e + B*a^4*d*e^4 + 2*A*a*b^3*d^3*e^2 + 2*B*a^3*b*d^2*e^3 + 3*A*a^2*b^2*d^2*e^3 + 3*B*a^2*b^2*d^3*e^2 + 4*A*a^3*b*d*e^4 + 4*B*a*b^3*d^4*e)/(30*e^6) + (x*(B*a^4*e^4 + 5*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 + 3*B*a^2*b^2*d^2*e^2 + 4*B*a*b^3*d^3*e + 2*B*a^3*b*d*e^3))/(5*e^5) + (b^3*x^4*(A*b*e + 4*B*a*e + 5*B*b*d))/(2*e^2) + (b*x^2*(2*B*a^3*e^3 + 5*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 + 4*B*a*b^2*d^2*e + 3*B*a^2*b*d*e^2))/(2*e^4) + (2*b^2*x^3*(3*B*a^2*e^2 + 5*B*b^2*d^2 + 2*A*a*b*e^2 + A*b^2*d*e + 4*B*a*b*d*e))/(3*e^3) + (B*b^4*x^5)/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"
1688,1,479,135,2.362657,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^8,x)","-\frac{\frac{5\,B\,a^4\,d\,e^4+30\,A\,a^4\,e^5+8\,B\,a^3\,b\,d^2\,e^3+20\,A\,a^3\,b\,d\,e^4+9\,B\,a^2\,b^2\,d^3\,e^2+12\,A\,a^2\,b^2\,d^2\,e^3+8\,B\,a\,b^3\,d^4\,e+6\,A\,a\,b^3\,d^3\,e^2+5\,B\,b^4\,d^5+2\,A\,b^4\,d^4\,e}{210\,e^6}+\frac{x\,\left(5\,B\,a^4\,e^4+8\,B\,a^3\,b\,d\,e^3+20\,A\,a^3\,b\,e^4+9\,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+6\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4+2\,A\,b^4\,d^3\,e\right)}{30\,e^5}+\frac{b^3\,x^4\,\left(2\,A\,b\,e+8\,B\,a\,e+5\,B\,b\,d\right)}{6\,e^2}+\frac{b\,x^2\,\left(8\,B\,a^3\,e^3+9\,B\,a^2\,b\,d\,e^2+12\,A\,a^2\,b\,e^3+8\,B\,a\,b^2\,d^2\,e+6\,A\,a\,b^2\,d\,e^2+5\,B\,b^3\,d^3+2\,A\,b^3\,d^2\,e\right)}{10\,e^4}+\frac{b^2\,x^3\,\left(9\,B\,a^2\,e^2+8\,B\,a\,b\,d\,e+6\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+2\,A\,b^2\,d\,e\right)}{6\,e^3}+\frac{B\,b^4\,x^5}{2\,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,"-((30*A*a^4*e^5 + 5*B*b^4*d^5 + 2*A*b^4*d^4*e + 5*B*a^4*d*e^4 + 6*A*a*b^3*d^3*e^2 + 8*B*a^3*b*d^2*e^3 + 12*A*a^2*b^2*d^2*e^3 + 9*B*a^2*b^2*d^3*e^2 + 20*A*a^3*b*d*e^4 + 8*B*a*b^3*d^4*e)/(210*e^6) + (x*(5*B*a^4*e^4 + 5*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 + 9*B*a^2*b^2*d^2*e^2 + 8*B*a*b^3*d^3*e + 8*B*a^3*b*d*e^3))/(30*e^5) + (b^3*x^4*(2*A*b*e + 8*B*a*e + 5*B*b*d))/(6*e^2) + (b*x^2*(8*B*a^3*e^3 + 5*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 + 8*B*a*b^2*d^2*e + 9*B*a^2*b*d*e^2))/(10*e^4) + (b^2*x^3*(9*B*a^2*e^2 + 5*B*b^2*d^2 + 6*A*a*b*e^2 + 2*A*b^2*d*e + 8*B*a*b*d*e))/(6*e^3) + (B*b^4*x^5)/(2*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"
1689,1,490,185,2.256962,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^9,x)","-\frac{\frac{15\,B\,a^4\,d\,e^4+105\,A\,a^4\,e^5+20\,B\,a^3\,b\,d^2\,e^3+60\,A\,a^3\,b\,d\,e^4+18\,B\,a^2\,b^2\,d^3\,e^2+30\,A\,a^2\,b^2\,d^2\,e^3+12\,B\,a\,b^3\,d^4\,e+12\,A\,a\,b^3\,d^3\,e^2+5\,B\,b^4\,d^5+3\,A\,b^4\,d^4\,e}{840\,e^6}+\frac{x\,\left(15\,B\,a^4\,e^4+20\,B\,a^3\,b\,d\,e^3+60\,A\,a^3\,b\,e^4+18\,B\,a^2\,b^2\,d^2\,e^2+30\,A\,a^2\,b^2\,d\,e^3+12\,B\,a\,b^3\,d^3\,e+12\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4+3\,A\,b^4\,d^3\,e\right)}{105\,e^5}+\frac{b^3\,x^4\,\left(3\,A\,b\,e+12\,B\,a\,e+5\,B\,b\,d\right)}{12\,e^2}+\frac{b\,x^2\,\left(20\,B\,a^3\,e^3+18\,B\,a^2\,b\,d\,e^2+30\,A\,a^2\,b\,e^3+12\,B\,a\,b^2\,d^2\,e+12\,A\,a\,b^2\,d\,e^2+5\,B\,b^3\,d^3+3\,A\,b^3\,d^2\,e\right)}{30\,e^4}+\frac{b^2\,x^3\,\left(18\,B\,a^2\,e^2+12\,B\,a\,b\,d\,e+12\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+3\,A\,b^2\,d\,e\right)}{15\,e^3}+\frac{B\,b^4\,x^5}{3\,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,"-((105*A*a^4*e^5 + 5*B*b^4*d^5 + 3*A*b^4*d^4*e + 15*B*a^4*d*e^4 + 12*A*a*b^3*d^3*e^2 + 20*B*a^3*b*d^2*e^3 + 30*A*a^2*b^2*d^2*e^3 + 18*B*a^2*b^2*d^3*e^2 + 60*A*a^3*b*d*e^4 + 12*B*a*b^3*d^4*e)/(840*e^6) + (x*(15*B*a^4*e^4 + 5*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 + 18*B*a^2*b^2*d^2*e^2 + 12*B*a*b^3*d^3*e + 20*B*a^3*b*d*e^3))/(105*e^5) + (b^3*x^4*(3*A*b*e + 12*B*a*e + 5*B*b*d))/(12*e^2) + (b*x^2*(20*B*a^3*e^3 + 5*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 + 12*B*a*b^2*d^2*e + 18*B*a^2*b*d*e^2))/(30*e^4) + (b^2*x^3*(18*B*a^2*e^2 + 5*B*b^2*d^2 + 12*A*a*b*e^2 + 3*A*b^2*d*e + 12*B*a*b*d*e))/(15*e^3) + (B*b^4*x^5)/(3*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"
1690,1,501,206,0.194929,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^10,x)","-\frac{\frac{35\,B\,a^4\,d\,e^4+280\,A\,a^4\,e^5+40\,B\,a^3\,b\,d^2\,e^3+140\,A\,a^3\,b\,d\,e^4+30\,B\,a^2\,b^2\,d^3\,e^2+60\,A\,a^2\,b^2\,d^2\,e^3+16\,B\,a\,b^3\,d^4\,e+20\,A\,a\,b^3\,d^3\,e^2+5\,B\,b^4\,d^5+4\,A\,b^4\,d^4\,e}{2520\,e^6}+\frac{x\,\left(35\,B\,a^4\,e^4+40\,B\,a^3\,b\,d\,e^3+140\,A\,a^3\,b\,e^4+30\,B\,a^2\,b^2\,d^2\,e^2+60\,A\,a^2\,b^2\,d\,e^3+16\,B\,a\,b^3\,d^3\,e+20\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4+4\,A\,b^4\,d^3\,e\right)}{280\,e^5}+\frac{b^3\,x^4\,\left(4\,A\,b\,e+16\,B\,a\,e+5\,B\,b\,d\right)}{20\,e^2}+\frac{b\,x^2\,\left(40\,B\,a^3\,e^3+30\,B\,a^2\,b\,d\,e^2+60\,A\,a^2\,b\,e^3+16\,B\,a\,b^2\,d^2\,e+20\,A\,a\,b^2\,d\,e^2+5\,B\,b^3\,d^3+4\,A\,b^3\,d^2\,e\right)}{70\,e^4}+\frac{b^2\,x^3\,\left(30\,B\,a^2\,e^2+16\,B\,a\,b\,d\,e+20\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+4\,A\,b^2\,d\,e\right)}{30\,e^3}+\frac{B\,b^4\,x^5}{4\,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^4*e^5 + 5*B*b^4*d^5 + 4*A*b^4*d^4*e + 35*B*a^4*d*e^4 + 20*A*a*b^3*d^3*e^2 + 40*B*a^3*b*d^2*e^3 + 60*A*a^2*b^2*d^2*e^3 + 30*B*a^2*b^2*d^3*e^2 + 140*A*a^3*b*d*e^4 + 16*B*a*b^3*d^4*e)/(2520*e^6) + (x*(35*B*a^4*e^4 + 5*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 + 30*B*a^2*b^2*d^2*e^2 + 16*B*a*b^3*d^3*e + 40*B*a^3*b*d*e^3))/(280*e^5) + (b^3*x^4*(4*A*b*e + 16*B*a*e + 5*B*b*d))/(20*e^2) + (b*x^2*(40*B*a^3*e^3 + 5*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 + 16*B*a*b^2*d^2*e + 30*B*a^2*b*d*e^2))/(70*e^4) + (b^2*x^3*(30*B*a^2*e^2 + 5*B*b^2*d^2 + 20*A*a*b*e^2 + 4*A*b^2*d*e + 16*B*a*b*d*e))/(30*e^3) + (B*b^4*x^5)/(4*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"
1691,1,502,206,0.307304,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^11,x)","-\frac{\frac{14\,B\,a^4\,d\,e^4+126\,A\,a^4\,e^5+14\,B\,a^3\,b\,d^2\,e^3+56\,A\,a^3\,b\,d\,e^4+9\,B\,a^2\,b^2\,d^3\,e^2+21\,A\,a^2\,b^2\,d^2\,e^3+4\,B\,a\,b^3\,d^4\,e+6\,A\,a\,b^3\,d^3\,e^2+B\,b^4\,d^5+A\,b^4\,d^4\,e}{1260\,e^6}+\frac{x\,\left(14\,B\,a^4\,e^4+14\,B\,a^3\,b\,d\,e^3+56\,A\,a^3\,b\,e^4+9\,B\,a^2\,b^2\,d^2\,e^2+21\,A\,a^2\,b^2\,d\,e^3+4\,B\,a\,b^3\,d^3\,e+6\,A\,a\,b^3\,d^2\,e^2+B\,b^4\,d^4+A\,b^4\,d^3\,e\right)}{126\,e^5}+\frac{b^3\,x^4\,\left(A\,b\,e+4\,B\,a\,e+B\,b\,d\right)}{6\,e^2}+\frac{b\,x^2\,\left(14\,B\,a^3\,e^3+9\,B\,a^2\,b\,d\,e^2+21\,A\,a^2\,b\,e^3+4\,B\,a\,b^2\,d^2\,e+6\,A\,a\,b^2\,d\,e^2+B\,b^3\,d^3+A\,b^3\,d^2\,e\right)}{28\,e^4}+\frac{2\,b^2\,x^3\,\left(9\,B\,a^2\,e^2+4\,B\,a\,b\,d\,e+6\,A\,a\,b\,e^2+B\,b^2\,d^2+A\,b^2\,d\,e\right)}{21\,e^3}+\frac{B\,b^4\,x^5}{5\,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,"-((126*A*a^4*e^5 + B*b^4*d^5 + A*b^4*d^4*e + 14*B*a^4*d*e^4 + 6*A*a*b^3*d^3*e^2 + 14*B*a^3*b*d^2*e^3 + 21*A*a^2*b^2*d^2*e^3 + 9*B*a^2*b^2*d^3*e^2 + 56*A*a^3*b*d*e^4 + 4*B*a*b^3*d^4*e)/(1260*e^6) + (x*(14*B*a^4*e^4 + B*b^4*d^4 + 56*A*a^3*b*e^4 + A*b^4*d^3*e + 6*A*a*b^3*d^2*e^2 + 21*A*a^2*b^2*d*e^3 + 9*B*a^2*b^2*d^2*e^2 + 4*B*a*b^3*d^3*e + 14*B*a^3*b*d*e^3))/(126*e^5) + (b^3*x^4*(A*b*e + 4*B*a*e + B*b*d))/(6*e^2) + (b*x^2*(14*B*a^3*e^3 + B*b^3*d^3 + 21*A*a^2*b*e^3 + A*b^3*d^2*e + 6*A*a*b^2*d*e^2 + 4*B*a*b^2*d^2*e + 9*B*a^2*b*d*e^2))/(28*e^4) + (2*b^2*x^3*(9*B*a^2*e^2 + B*b^2*d^2 + 6*A*a*b*e^2 + A*b^2*d*e + 4*B*a*b*d*e))/(21*e^3) + (B*b^4*x^5)/(5*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"
1692,1,523,206,0.265276,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^12,x)","-\frac{\frac{126\,B\,a^4\,d\,e^4+1260\,A\,a^4\,e^5+112\,B\,a^3\,b\,d^2\,e^3+504\,A\,a^3\,b\,d\,e^4+63\,B\,a^2\,b^2\,d^3\,e^2+168\,A\,a^2\,b^2\,d^2\,e^3+24\,B\,a\,b^3\,d^4\,e+42\,A\,a\,b^3\,d^3\,e^2+5\,B\,b^4\,d^5+6\,A\,b^4\,d^4\,e}{13860\,e^6}+\frac{x\,\left(126\,B\,a^4\,e^4+112\,B\,a^3\,b\,d\,e^3+504\,A\,a^3\,b\,e^4+63\,B\,a^2\,b^2\,d^2\,e^2+168\,A\,a^2\,b^2\,d\,e^3+24\,B\,a\,b^3\,d^3\,e+42\,A\,a\,b^3\,d^2\,e^2+5\,B\,b^4\,d^4+6\,A\,b^4\,d^3\,e\right)}{1260\,e^5}+\frac{b^3\,x^4\,\left(6\,A\,b\,e+24\,B\,a\,e+5\,B\,b\,d\right)}{42\,e^2}+\frac{b\,x^2\,\left(112\,B\,a^3\,e^3+63\,B\,a^2\,b\,d\,e^2+168\,A\,a^2\,b\,e^3+24\,B\,a\,b^2\,d^2\,e+42\,A\,a\,b^2\,d\,e^2+5\,B\,b^3\,d^3+6\,A\,b^3\,d^2\,e\right)}{252\,e^4}+\frac{b^2\,x^3\,\left(63\,B\,a^2\,e^2+24\,B\,a\,b\,d\,e+42\,A\,a\,b\,e^2+5\,B\,b^2\,d^2+6\,A\,b^2\,d\,e\right)}{84\,e^3}+\frac{B\,b^4\,x^5}{6\,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,"-((1260*A*a^4*e^5 + 5*B*b^4*d^5 + 6*A*b^4*d^4*e + 126*B*a^4*d*e^4 + 42*A*a*b^3*d^3*e^2 + 112*B*a^3*b*d^2*e^3 + 168*A*a^2*b^2*d^2*e^3 + 63*B*a^2*b^2*d^3*e^2 + 504*A*a^3*b*d*e^4 + 24*B*a*b^3*d^4*e)/(13860*e^6) + (x*(126*B*a^4*e^4 + 5*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 + 63*B*a^2*b^2*d^2*e^2 + 24*B*a*b^3*d^3*e + 112*B*a^3*b*d*e^3))/(1260*e^5) + (b^3*x^4*(6*A*b*e + 24*B*a*e + 5*B*b*d))/(42*e^2) + (b*x^2*(112*B*a^3*e^3 + 5*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 + 24*B*a*b^2*d^2*e + 63*B*a^2*b*d*e^2))/(252*e^4) + (b^2*x^3*(63*B*a^2*e^2 + 5*B*b^2*d^2 + 42*A*a*b*e^2 + 6*A*b^2*d*e + 24*B*a*b*d*e))/(84*e^3) + (B*b^4*x^5)/(6*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"
1693,1,486,187,2.149076,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x),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"
1694,1,293,145,0.103989,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x),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"
1695,1,165,99,2.107480,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x),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"
1696,1,75,60,0.104431,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x),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"
1697,1,32,32,2.046692,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x),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"
1698,1,94,82,2.137054,"\text{Not used}","int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*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"
1699,1,263,117,2.237024,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1700,1,454,157,2.661715,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1701,1,451,186,0.192007,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x\,\left(\frac{A\,e^4+4\,B\,d\,e^3}{b^4}-\frac{4\,B\,a\,e^4}{b^5}\right)-\frac{\frac{-47\,B\,a^5\,e^4+104\,B\,a^4\,b\,d\,e^3+26\,A\,a^4\,b\,e^4-66\,B\,a^3\,b^2\,d^2\,e^2-44\,A\,a^3\,b^2\,d\,e^3+8\,B\,a^2\,b^3\,d^3\,e+12\,A\,a^2\,b^3\,d^2\,e^2+B\,a\,b^4\,d^4+4\,A\,a\,b^4\,d^3\,e+2\,A\,b^5\,d^4}{6\,b}+x\,\left(-\frac{35\,B\,a^4\,e^4}{2}+40\,B\,a^3\,b\,d\,e^3+10\,A\,a^3\,b\,e^4-27\,B\,a^2\,b^2\,d^2\,e^2-18\,A\,a^2\,b^2\,d\,e^3+4\,B\,a\,b^3\,d^3\,e+6\,A\,a\,b^3\,d^2\,e^2+\frac{B\,b^4\,d^4}{2}+2\,A\,b^4\,d^3\,e\right)+x^2\,\left(-10\,B\,a^3\,b\,e^4+24\,B\,a^2\,b^2\,d\,e^3+6\,A\,a^2\,b^2\,e^4-18\,B\,a\,b^3\,d^2\,e^2-12\,A\,a\,b^3\,d\,e^3+4\,B\,b^4\,d^3\,e+6\,A\,b^4\,d^2\,e^2\right)}{a^3\,b^5+3\,a^2\,b^6\,x+3\,a\,b^7\,x^2+b^8\,x^3}+\frac{\ln\left(a+b\,x\right)\,\left(10\,B\,a^2\,e^4-16\,B\,a\,b\,d\,e^3-4\,A\,a\,b\,e^4+6\,B\,b^2\,d^2\,e^2+4\,A\,b^2\,d\,e^3\right)}{b^6}+\frac{B\,e^4\,x^2}{2\,b^4}","Not used",1,"x*((A*e^4 + 4*B*d*e^3)/b^4 - (4*B*a*e^4)/b^5) - ((2*A*b^5*d^4 - 47*B*a^5*e^4 + 26*A*a^4*b*e^4 + B*a*b^4*d^4 - 44*A*a^3*b^2*d*e^3 + 8*B*a^2*b^3*d^3*e + 12*A*a^2*b^3*d^2*e^2 - 66*B*a^3*b^2*d^2*e^2 + 4*A*a*b^4*d^3*e + 104*B*a^4*b*d*e^3)/(6*b) + x*((B*b^4*d^4)/2 - (35*B*a^4*e^4)/2 + 10*A*a^3*b*e^4 + 2*A*b^4*d^3*e + 6*A*a*b^3*d^2*e^2 - 18*A*a^2*b^2*d*e^3 - 27*B*a^2*b^2*d^2*e^2 + 4*B*a*b^3*d^3*e + 40*B*a^3*b*d*e^3) + x^2*(4*B*b^4*d^3*e - 10*B*a^3*b*e^4 + 6*A*a^2*b^2*e^4 + 6*A*b^4*d^2*e^2 - 18*B*a*b^3*d^2*e^2 + 24*B*a^2*b^2*d*e^3 - 12*A*a*b^3*d*e^3))/(a^3*b^5 + b^8*x^3 + 3*a^2*b^6*x + 3*a*b^7*x^2) + (log(a + b*x)*(10*B*a^2*e^4 - 4*A*a*b*e^4 + 4*A*b^2*d*e^3 + 6*B*b^2*d^2*e^2 - 16*B*a*b*d*e^3))/b^6 + (B*e^4*x^2)/(2*b^4)","B"
1702,1,301,144,2.335662,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{\ln\left(a+b\,x\right)\,\left(A\,b\,e^3-4\,B\,a\,e^3+3\,B\,b\,d\,e^2\right)}{b^5}-\frac{\frac{26\,B\,a^4\,e^3-33\,B\,a^3\,b\,d\,e^2-11\,A\,a^3\,b\,e^3+6\,B\,a^2\,b^2\,d^2\,e+6\,A\,a^2\,b^2\,d\,e^2+B\,a\,b^3\,d^3+3\,A\,a\,b^3\,d^2\,e+2\,A\,b^4\,d^3}{6\,b}+x\,\left(10\,B\,a^3\,e^3-\frac{27\,B\,a^2\,b\,d\,e^2}{2}-\frac{9\,A\,a^2\,b\,e^3}{2}+3\,B\,a\,b^2\,d^2\,e+3\,A\,a\,b^2\,d\,e^2+\frac{B\,b^3\,d^3}{2}+\frac{3\,A\,b^3\,d^2\,e}{2}\right)+x^2\,\left(6\,B\,a^2\,b\,e^3-9\,B\,a\,b^2\,d\,e^2-3\,A\,a\,b^2\,e^3+3\,B\,b^3\,d^2\,e+3\,A\,b^3\,d\,e^2\right)}{a^3\,b^4+3\,a^2\,b^5\,x+3\,a\,b^6\,x^2+b^7\,x^3}+\frac{B\,e^3\,x}{b^4}","Not used",1,"(log(a + b*x)*(A*b*e^3 - 4*B*a*e^3 + 3*B*b*d*e^2))/b^5 - ((2*A*b^4*d^3 + 26*B*a^4*e^3 - 11*A*a^3*b*e^3 + B*a*b^3*d^3 + 6*A*a^2*b^2*d*e^2 + 6*B*a^2*b^2*d^2*e + 3*A*a*b^3*d^2*e - 33*B*a^3*b*d*e^2)/(6*b) + x*(10*B*a^3*e^3 + (B*b^3*d^3)/2 - (9*A*a^2*b*e^3)/2 + (3*A*b^3*d^2*e)/2 + 3*A*a*b^2*d*e^2 + 3*B*a*b^2*d^2*e - (27*B*a^2*b*d*e^2)/2) + x^2*(6*B*a^2*b*e^3 - 3*A*a*b^2*e^3 + 3*A*b^3*d*e^2 + 3*B*b^3*d^2*e - 9*B*a*b^2*d*e^2))/(a^3*b^4 + b^7*x^3 + 3*a^2*b^5*x + 3*a*b^6*x^2) + (B*e^3*x)/b^4","B"
1703,1,178,101,2.253101,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{B\,e^2\,\ln\left(a+b\,x\right)}{b^4}-\frac{\frac{-11\,B\,a^3\,e^2+4\,B\,a^2\,b\,d\,e+2\,A\,a^2\,b\,e^2+B\,a\,b^2\,d^2+2\,A\,a\,b^2\,d\,e+2\,A\,b^3\,d^2}{6\,b^4}+\frac{x\,\left(-9\,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)}{2\,b^3}+\frac{e\,x^2\,\left(A\,b\,e-3\,B\,a\,e+2\,B\,b\,d\right)}{b^2}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"(B*e^2*log(a + b*x))/b^4 - ((2*A*b^3*d^2 - 11*B*a^3*e^2 + 2*A*a^2*b*e^2 + B*a*b^2*d^2 + 2*A*a*b^2*d*e + 4*B*a^2*b*d*e)/(6*b^4) + (x*(B*b^2*d^2 - 9*B*a^2*e^2 + 2*A*a*b*e^2 + 2*A*b^2*d*e + 4*B*a*b*d*e))/(2*b^3) + (e*x^2*(A*b*e - 3*B*a*e + 2*B*b*d))/b^2)/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1704,1,91,73,0.054064,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{\frac{2\,A\,b^2\,d+2\,B\,a^2\,e+A\,a\,b\,e+B\,a\,b\,d}{6\,b^3}+\frac{x\,\left(A\,b\,e+2\,B\,a\,e+B\,b\,d\right)}{2\,b^2}+\frac{B\,e\,x^2}{b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((2*A*b^2*d + 2*B*a^2*e + A*a*b*e + B*a*b*d)/(6*b^3) + (x*(A*b*e + 2*B*a*e + B*b*d))/(2*b^2) + (B*e*x^2)/b)/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1705,1,52,38,0.032635,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{\frac{2\,A\,b+B\,a}{6\,b^2}+\frac{B\,x}{2\,b}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}","Not used",1,"-((2*A*b + B*a)/(6*b^2) + (B*x)/(2*b))/(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)","B"
1706,1,398,146,2.543368,"\text{Not used}","int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{-2\,B\,a^3\,e^2-5\,B\,a^2\,b\,d\,e+11\,A\,a^2\,b\,e^2+B\,a\,b^2\,d^2-7\,A\,a\,b^2\,d\,e+2\,A\,b^3\,d^2}{6\,b\,\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-B\,d\right)\,\left(b^2\,d-5\,a\,b\,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^2\,e\,x^2\,\left(A\,e-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}}{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}-\frac{2\,e^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\,e-B\,d\right)}{{\left(a\,e-b\,d\right)}^4}","Not used",1,"((2*A*b^3*d^2 - 2*B*a^3*e^2 + 11*A*a^2*b*e^2 + B*a*b^2*d^2 - 7*A*a*b^2*d*e - 5*B*a^2*b*d*e)/(6*b*(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 - B*d)*(b^2*d - 5*a*b*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^2*e*x^2*(A*e - 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^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x) - (2*e^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*e - B*d))/(a*e - b*d)^4","B"
1707,1,711,199,2.814866,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{x\,\left(11\,a^2\,e^2+8\,a\,b\,d\,e-b^2\,d^2\right)\,\left(B\,a\,e-4\,A\,b\,e+3\,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{-17\,B\,a^3\,d\,e^2+6\,A\,a^3\,e^3-8\,B\,a^2\,b\,d^2\,e+26\,A\,a^2\,b\,d\,e^2+B\,a\,b^2\,d^3-10\,A\,a\,b^2\,d^2\,e+2\,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(B\,a\,e-4\,A\,b\,e+3\,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{e\,x^2\,\left(d\,b^2+5\,a\,e\,b\right)\,\left(B\,a\,e-4\,A\,b\,e+3\,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(d\,b^3+3\,a\,e\,b^2\right)+x^2\,\left(3\,e\,a^2\,b+3\,d\,a\,b^2\right)+a^3\,d+x\,\left(e\,a^3+3\,b\,d\,a^2\right)+b^3\,e\,x^4}-\frac{2\,\mathrm{atanh}\left(\frac{\left(e^3\,\left(4\,A\,b-B\,a\right)-3\,B\,b\,d\,e^2\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(B\,a\,e^3-4\,A\,b\,e^3+3\,B\,b\,d\,e^2\right)}\right)\,\left(e^3\,\left(4\,A\,b-B\,a\right)-3\,B\,b\,d\,e^2\right)}{{\left(a\,e-b\,d\right)}^5}","Not used",1,"((x*(11*a^2*e^2 - b^2*d^2 + 8*a*b*d*e)*(B*a*e - 4*A*b*e + 3*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)) - (6*A*a^3*e^3 + 2*A*b^3*d^3 + B*a*b^2*d^3 - 17*B*a^3*d*e^2 - 10*A*a*b^2*d^2*e + 26*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*(B*a*e - 4*A*b*e + 3*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) + (e*x^2*(b^2*d + 5*a*b*e)*(B*a*e - 4*A*b*e + 3*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*(b^3*d + 3*a*b^2*e) + x^2*(3*a*b^2*d + 3*a^2*b*e) + a^3*d + x*(a^3*e + 3*a^2*b*d) + b^3*e*x^4) - (2*atanh(((e^3*(4*A*b - B*a) - 3*B*b*d*e^2)*((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*(B*a*e^3 - 4*A*b*e^3 + 3*B*b*d*e^2)))*(e^3*(4*A*b - B*a) - 3*B*b*d*e^2))/(a*e - b*d)^5","B"
1708,1,1400,158,4.253102,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^4,x)","A\,d^4\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{A\,e^4\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}+\frac{B\,e^4\,x^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{7\,b^2}+\frac{B\,d^4\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}+\frac{A\,d^3\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,b^4}+\frac{B\,d^3\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{b^2}-\frac{B\,a^2\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{35\,b^6}-\frac{A\,a^2\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}+\frac{3\,A\,d^2\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{2\,b^2}+\frac{4\,A\,d\,e^3\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{2\,B\,d\,e^3\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{3\,b^2}-\frac{3\,A\,a\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{40\,b^5}-\frac{11\,B\,a\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^5+5\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-14\,a^3\,b^2\,x^2-13\,a^4\,b\,x-9\,a\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+12\,a^2\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{210\,b^6}+\frac{6\,B\,d^2\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}-\frac{B\,a^2\,d^3\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^2}-\frac{3\,B\,a\,d\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{10\,b^5}-\frac{B\,a^2\,d^2\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{10\,b^6}-\frac{7\,A\,a\,d\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{15\,b^4}-\frac{5\,B\,a\,d^3\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^5}-\frac{3\,A\,a^2\,d^2\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,b^2}-\frac{7\,B\,a\,d^2\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{10\,b^4}-\frac{B\,a^2\,d\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{6\,b^5}-\frac{5\,A\,a\,d^2\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{16\,b^5}-\frac{A\,a^2\,d\,e^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{15\,b^6}","Not used",1,"A*d^4*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (A*e^4*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) + (B*e^4*x^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(7*b^2) + (B*d^4*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) + (A*d^3*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*b^4) + (B*d^3*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/b^2 - (B*a^2*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(35*b^6) - (A*a^2*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) + (3*A*d^2*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(2*b^2) + (4*A*d*e^3*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (2*B*d*e^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(3*b^2) - (3*A*a*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(40*b^5) - (11*B*a*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^5 + 5*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) - 14*a^3*b^2*x^2 - 13*a^4*b*x - 9*a*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) + 12*a^2*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(210*b^6) + (6*B*d^2*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) - (B*a^2*d^3*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/b^2 - (3*B*a*d*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(10*b^5) - (B*a^2*d^2*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(10*b^6) - (7*A*a*d*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(15*b^4) - (5*B*a*d^3*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^5) - (3*A*a^2*d^2*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*b^2) - (7*B*a*d^2*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(10*b^4) - (B*a^2*d*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(6*b^5) - (5*A*a*d^2*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(16*b^5) - (A*a^2*d*e^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(15*b^6)","B"
1709,1,935,158,3.323413,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^3,x)","A\,d^3\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{A\,e^3\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{B\,e^3\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}+\frac{B\,d^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}+\frac{A\,d^2\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,b^4}+\frac{3\,A\,d\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}+\frac{3\,B\,d^2\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{B\,a^2\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}-\frac{A\,a^2\,e^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{60\,b^6}+\frac{3\,B\,d\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}-\frac{3\,B\,a\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{40\,b^5}-\frac{7\,A\,a\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{60\,b^4}-\frac{3\,A\,a^2\,d\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}-\frac{3\,B\,a^2\,d^2\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}-\frac{7\,B\,a\,d\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{20\,b^4}-\frac{5\,A\,a\,d\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{32\,b^5}-\frac{5\,B\,a\,d^2\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{32\,b^5}-\frac{B\,a^2\,d\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{20\,b^6}","Not used",1,"A*d^3*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (A*e^3*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (B*e^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) + (B*d^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) + (A*d^2*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*b^4) + (3*A*d*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) + (3*B*d^2*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (B*a^2*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) - (A*a^2*e^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(60*b^6) + (3*B*d*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) - (3*B*a*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(40*b^5) - (7*A*a*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(60*b^4) - (3*A*a^2*d*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2) - (3*B*a^2*d^2*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2) - (7*B*a*d*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(20*b^4) - (5*A*a*d*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(32*b^5) - (5*B*a*d^2*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(32*b^5) - (B*a^2*d*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(20*b^6)","B"
1710,1,564,158,3.017208,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^2,x)","A\,d^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{B\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{B\,d^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}+\frac{A\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{5\,A\,a\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^5}-\frac{B\,a^2\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{60\,b^6}+\frac{A\,d\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{12\,b^4}-\frac{A\,a^2\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}+\frac{B\,d\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{2\,b^2}-\frac{7\,B\,a\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{60\,b^4}-\frac{5\,B\,a\,d\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{48\,b^5}-\frac{B\,a^2\,d\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,b^2}","Not used",1,"A*d^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (B*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (B*d^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) + (A*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (5*A*a*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^5) - (B*a^2*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(60*b^6) + (A*d*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(12*b^4) - (A*a^2*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2) + (B*d*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(2*b^2) - (7*B*a*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(60*b^4) - (5*B*a*d*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(48*b^5) - (B*a^2*d*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*b^2)","B"
1711,1,223,164,2.917011,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x),x)","\frac{B\,d\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}+\frac{B\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}+\frac{A\,\left(a+b\,x\right)\,\left(3\,b\,d-a\,e+2\,b\,e\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,b^2}-\frac{B\,a^2\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}-\frac{5\,B\,a\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^5}","Not used",1,"(B*d*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) + (B*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) + (A*(a + b*x)*(3*b*d - a*e + 2*b*e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*b^2) - (B*a^2*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2) - (5*B*a*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^5)","B"
1712,1,77,69,2.415534,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x),x)","\frac{A\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{2\,b}+\frac{B\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}","Not used",1,"(A*((a + b*x)^2)^(1/2)*(a + b*x))/(2*b) + (B*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4)","B"
1713,0,-1,132,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)}{d+e\,x} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x), x)","F"
1714,0,-1,144,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^2,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^2, x)","F"
1715,0,-1,151,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^3,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^3, x)","F"
1716,1,86,104,2.134769,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^4,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(2\,A\,a\,e^2+2\,B\,b\,d^2+3\,A\,b\,e^2\,x+3\,B\,a\,e^2\,x+6\,B\,b\,e^2\,x^2+A\,b\,d\,e+B\,a\,d\,e+6\,B\,b\,d\,e\,x\right)}{6\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"-(((a + b*x)^2)^(1/2)*(2*A*a*e^2 + 2*B*b*d^2 + 3*A*b*e^2*x + 3*B*a*e^2*x + 6*B*b*e^2*x^2 + A*b*d*e + B*a*d*e + 6*B*b*d*e*x))/(6*e^3*(a + b*x)*(d + e*x)^3)","B"
1717,1,85,158,2.154656,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^5,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(3\,A\,a\,e^2+B\,b\,d^2+4\,A\,b\,e^2\,x+4\,B\,a\,e^2\,x+6\,B\,b\,e^2\,x^2+A\,b\,d\,e+B\,a\,d\,e+4\,B\,b\,d\,e\,x\right)}{12\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"-(((a + b*x)^2)^(1/2)*(3*A*a*e^2 + B*b*d^2 + 4*A*b*e^2*x + 4*B*a*e^2*x + 6*B*b*e^2*x^2 + A*b*d*e + B*a*d*e + 4*B*b*d*e*x))/(12*e^3*(a + b*x)*(d + e*x)^4)","B"
1718,1,88,158,2.165718,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^6,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(12\,A\,a\,e^2+2\,B\,b\,d^2+15\,A\,b\,e^2\,x+15\,B\,a\,e^2\,x+20\,B\,b\,e^2\,x^2+3\,A\,b\,d\,e+3\,B\,a\,d\,e+10\,B\,b\,d\,e\,x\right)}{60\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"-(((a + b*x)^2)^(1/2)*(12*A*a*e^2 + 2*B*b*d^2 + 15*A*b*e^2*x + 15*B*a*e^2*x + 20*B*b*e^2*x^2 + 3*A*b*d*e + 3*B*a*d*e + 10*B*b*d*e*x))/(60*e^3*(a + b*x)*(d + e*x)^5)","B"
1719,1,87,158,2.159288,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^7,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(10\,A\,a\,e^2+B\,b\,d^2+12\,A\,b\,e^2\,x+12\,B\,a\,e^2\,x+15\,B\,b\,e^2\,x^2+2\,A\,b\,d\,e+2\,B\,a\,d\,e+6\,B\,b\,d\,e\,x\right)}{60\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"-(((a + b*x)^2)^(1/2)*(10*A*a*e^2 + B*b*d^2 + 12*A*b*e^2*x + 12*B*a*e^2*x + 15*B*b*e^2*x^2 + 2*A*b*d*e + 2*B*a*d*e + 6*B*b*d*e*x))/(60*e^3*(a + b*x)*(d + e*x)^6)","B"
1720,0,-1,298,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^5\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1721,0,-1,298,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1722,0,-1,259,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1723,0,-1,198,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1724,0,-1,135,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1725,1,42,69,2.211795,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}\,\left(5\,A\,b-B\,a+4\,B\,b\,x\right)}{20\,b^2}","Not used",1,"((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)*(5*A*b - B*a + 4*B*b*x))/(20*b^2)","B"
1726,0,-1,236,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{d+e\,x} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x), x)","F"
1727,0,-1,285,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^2, x)","F"
1728,0,-1,280,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^3, x)","F"
1729,0,-1,284,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^4, x)","F"
1730,0,-1,257,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^5, x)","F"
1731,1,577,106,2.196732,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^6,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{2\,e^5}-\frac{B\,b^3\,d}{2\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}-\frac{\left(\frac{A\,a^3}{5\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{5\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{5\,e}-\frac{B\,b^3\,d}{5\,e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{5\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{4\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{4\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{4\,e^3}-\frac{B\,b^3\,d}{4\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{3\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{3\,e^4}-\frac{B\,b^3\,d}{3\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{e^5\,\left(a+b\,x\right)\,\left(d+e\,x\right)}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(2*e^5) - (B*b^3*d)/(2*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^2) - (((A*a^3)/(5*e) - (d*((B*a^3 + 3*A*a^2*b)/(5*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(5*e) - (B*b^3*d)/(5*e^2)))/e - (3*a*b*(A*b + B*a))/(5*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(4*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(4*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(4*e^3) - (B*b^3*d)/(4*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(3*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(3*e^4) - (B*b^3*d)/(3*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(e^5*(a + b*x)*(d + e*x))","B"
1732,1,577,193,2.174888,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^7,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{3\,e^5}-\frac{B\,b^3\,d}{3\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{\left(\frac{A\,a^3}{6\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{6\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{6\,e}-\frac{B\,b^3\,d}{6\,e^2}\right)}{e}-\frac{a\,b\,\left(A\,b+B\,a\right)}{2\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{5\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{5\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{5\,e^3}-\frac{B\,b^3\,d}{5\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{4\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{4\,e^4}-\frac{B\,b^3\,d}{4\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(3*e^5) - (B*b^3*d)/(3*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - (((A*a^3)/(6*e) - (d*((B*a^3 + 3*A*a^2*b)/(6*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(6*e) - (B*b^3*d)/(6*e^2)))/e - (a*b*(A*b + B*a))/(2*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(5*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(5*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(5*e^3) - (B*b^3*d)/(5*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(4*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(4*e^4) - (B*b^3*d)/(4*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*e^5*(a + b*x)*(d + e*x)^2)","B"
1733,1,577,298,2.219330,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^8,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{4\,e^5}-\frac{B\,b^3\,d}{4\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{A\,a^3}{7\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{7\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{7\,e}-\frac{B\,b^3\,d}{7\,e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{7\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{6\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{6\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{6\,e^3}-\frac{B\,b^3\,d}{6\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{5\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{5\,e^4}-\frac{B\,b^3\,d}{5\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(4*e^5) - (B*b^3*d)/(4*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (((A*a^3)/(7*e) - (d*((B*a^3 + 3*A*a^2*b)/(7*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(7*e) - (B*b^3*d)/(7*e^2)))/e - (3*a*b*(A*b + B*a))/(7*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(6*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(6*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(6*e^3) - (B*b^3*d)/(6*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(5*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(5*e^4) - (B*b^3*d)/(5*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*e^5*(a + b*x)*(d + e*x)^3)","B"
1734,1,577,298,2.272612,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^9,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{5\,e^5}-\frac{B\,b^3\,d}{5\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{A\,a^3}{8\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{8\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{8\,e}-\frac{B\,b^3\,d}{8\,e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{8\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{7\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{7\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{7\,e^3}-\frac{B\,b^3\,d}{7\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{6\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{6\,e^4}-\frac{B\,b^3\,d}{6\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(5*e^5) - (B*b^3*d)/(5*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((A*a^3)/(8*e) - (d*((B*a^3 + 3*A*a^2*b)/(8*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(8*e) - (B*b^3*d)/(8*e^2)))/e - (3*a*b*(A*b + B*a))/(8*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(7*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(7*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(7*e^3) - (B*b^3*d)/(7*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(6*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(6*e^4) - (B*b^3*d)/(6*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*e^5*(a + b*x)*(d + e*x)^4)","B"
1735,1,577,298,2.577765,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^10,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{6\,e^5}-\frac{B\,b^3\,d}{6\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{A\,a^3}{9\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{9\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{9\,e}-\frac{B\,b^3\,d}{9\,e^2}\right)}{e}-\frac{a\,b\,\left(A\,b+B\,a\right)}{3\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{8\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{8\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{8\,e^3}-\frac{B\,b^3\,d}{8\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{7\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{7\,e^4}-\frac{B\,b^3\,d}{7\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(6*e^5) - (B*b^3*d)/(6*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((A*a^3)/(9*e) - (d*((B*a^3 + 3*A*a^2*b)/(9*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(9*e) - (B*b^3*d)/(9*e^2)))/e - (a*b*(A*b + B*a))/(3*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(8*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(8*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(8*e^3) - (B*b^3*d)/(8*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(7*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(7*e^4) - (B*b^3*d)/(7*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*e^5*(a + b*x)*(d + e*x)^5)","B"
1736,1,577,298,2.389191,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^11,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{7\,e^5}-\frac{B\,b^3\,d}{7\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{A\,a^3}{10\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{10\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{10\,e}-\frac{B\,b^3\,d}{10\,e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{10\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{9\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{9\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{9\,e^3}-\frac{B\,b^3\,d}{9\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{8\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{8\,e^4}-\frac{B\,b^3\,d}{8\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(7*e^5) - (B*b^3*d)/(7*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((A*a^3)/(10*e) - (d*((B*a^3 + 3*A*a^2*b)/(10*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(10*e) - (B*b^3*d)/(10*e^2)))/e - (3*a*b*(A*b + B*a))/(10*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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)/(9*e^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(9*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(9*e^3) - (B*b^3*d)/(9*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(8*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(8*e^4) - (B*b^3*d)/(8*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*e^5*(a + b*x)*(d + e*x)^6)","B"
1737,1,577,298,2.359113,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^12,x)","-\frac{\left(\frac{A\,b^3\,e-3\,B\,b^3\,d+3\,B\,a\,b^2\,e}{8\,e^5}-\frac{B\,b^3\,d}{8\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{A\,a^3}{11\,e}-\frac{d\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{11\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,b^3+3\,B\,a\,b^2}{11\,e}-\frac{B\,b^3\,d}{11\,e^2}\right)}{e}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{11\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{B\,a^3\,e^3-3\,B\,a^2\,b\,d\,e^2+3\,A\,a^2\,b\,e^3+3\,B\,a\,b^2\,d^2\,e-3\,A\,a\,b^2\,d\,e^2-B\,b^3\,d^3+A\,b^3\,d^2\,e}{10\,e^5}-\frac{d\,\left(\frac{3\,B\,a^2\,b\,e^3-3\,B\,a\,b^2\,d\,e^2+3\,A\,a\,b^2\,e^3+B\,b^3\,d^2\,e-A\,b^3\,d\,e^2}{10\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-B\,b\,d\right)}{10\,e^3}-\frac{B\,b^3\,d}{10\,e^3}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{3\,B\,a^2\,b\,e^2-6\,B\,a\,b^2\,d\,e+3\,A\,a\,b^2\,e^2+3\,B\,b^3\,d^2-2\,A\,b^3\,d\,e}{9\,e^5}-\frac{d\,\left(\frac{b^2\,\left(A\,b\,e+3\,B\,a\,e-2\,B\,b\,d\right)}{9\,e^4}-\frac{B\,b^3\,d}{9\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{B\,b^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}","Not used",1,"- (((A*b^3*e - 3*B*b^3*d + 3*B*a*b^2*e)/(8*e^5) - (B*b^3*d)/(8*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((A*a^3)/(11*e) - (d*((B*a^3 + 3*A*a^2*b)/(11*e) + (d*((d*((A*b^3 + 3*B*a*b^2)/(11*e) - (B*b^3*d)/(11*e^2)))/e - (3*a*b*(A*b + B*a))/(11*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((B*a^3*e^3 - B*b^3*d^3 + 3*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^5) - (d*((3*A*a*b^2*e^3 + 3*B*a^2*b*e^3 - A*b^3*d*e^2 + B*b^3*d^2*e - 3*B*a*b^2*d*e^2)/(10*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - B*b*d))/(10*e^3) - (B*b^3*d)/(10*e^3)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((3*B*b^3*d^2 - 2*A*b^3*d*e + 3*A*a*b^2*e^2 + 3*B*a^2*b*e^2 - 6*B*a*b^2*d*e)/(9*e^5) - (d*((b^2*(A*b*e + 3*B*a*e - 2*B*b*d))/(9*e^4) - (B*b^3*d)/(9*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (B*b^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*e^5*(a + b*x)*(d + e*x)^7)","B"
1738,0,-1,436,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^6\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1739,0,-1,383,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^5\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1740,0,-1,324,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1741,0,-1,259,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1742,0,-1,198,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1743,0,-1,135,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1744,0,-1,69,0.000000,"\text{Not used}","int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1745,0,-1,340,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x),x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{d+e\,x} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x), x)","F"
1746,0,-1,423,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^2, x)","F"
1747,0,-1,424,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^3,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^3, x)","F"
1748,0,-1,425,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^4,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^4, x)","F"
1749,0,-1,421,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^5,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^5, x)","F"
1750,0,-1,422,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^6,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^6, x)","F"
1751,0,-1,365,0.000000,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^7,x)","\int \frac{\left(A+B\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^7} \,d x","Not used",1,"int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^7, x)","F"
1752,1,1489,106,2.590214,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^8,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{3\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{3\,e^6}-\frac{B\,b^5\,d}{3\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{2\,e^7}-\frac{B\,b^5\,d}{2\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}-\frac{\left(\frac{A\,a^5}{7\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{7\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{7\,e}-\frac{B\,b^5\,d}{7\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{7\,e}\right)}{e}+\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)}{7\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{7\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{4\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{4\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{4\,e^5}-\frac{B\,b^5\,d}{4\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{6\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{6\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{6\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{6\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{6\,e^3}-\frac{B\,b^5\,d}{6\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{5\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{5\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{5\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{5\,e^4}-\frac{B\,b^5\,d}{5\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{e^7\,\left(a+b\,x\right)\,\left(d+e\,x\right)}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(3*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(3*e^6) - (B*b^5*d)/(3*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(2*e^7) - (B*b^5*d)/(2*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^2) - (((A*a^5)/(7*e) - (d*((B*a^5 + 5*A*a^4*b)/(7*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(7*e) - (B*b^5*d)/(7*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(7*e)))/e + (10*a^2*b^2*(A*b + B*a))/(7*e)))/e - (5*a^3*b*(2*A*b + B*a))/(7*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(4*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(4*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(4*e^5) - (B*b^5*d)/(4*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(6*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(6*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(6*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(6*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(6*e^3) - (B*b^5*d)/(6*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(5*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(5*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(5*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(5*e^4) - (B*b^5*d)/(5*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(e^7*(a + b*x)*(d + e*x))","B"
1753,1,1489,193,2.535999,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^9,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{4\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{4\,e^6}-\frac{B\,b^5\,d}{4\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{3\,e^7}-\frac{B\,b^5\,d}{3\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{\left(\frac{A\,a^5}{8\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{8\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{8\,e}-\frac{B\,b^5\,d}{8\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{8\,e}\right)}{e}+\frac{5\,a^2\,b^2\,\left(A\,b+B\,a\right)}{4\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{8\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{5\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{5\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{5\,e^5}-\frac{B\,b^5\,d}{5\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{7\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{7\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{7\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{7\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{7\,e^3}-\frac{B\,b^5\,d}{7\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{6\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{6\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{6\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{6\,e^4}-\frac{B\,b^5\,d}{6\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(4*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(4*e^6) - (B*b^5*d)/(4*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(3*e^7) - (B*b^5*d)/(3*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - (((A*a^5)/(8*e) - (d*((B*a^5 + 5*A*a^4*b)/(8*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(8*e) - (B*b^5*d)/(8*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(8*e)))/e + (5*a^2*b^2*(A*b + B*a))/(4*e)))/e - (5*a^3*b*(2*A*b + B*a))/(8*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(5*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(5*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(5*e^5) - (B*b^5*d)/(5*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(7*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(7*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(7*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(7*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(7*e^3) - (B*b^5*d)/(7*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(6*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(6*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(6*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(6*e^4) - (B*b^5*d)/(6*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*e^7*(a + b*x)*(d + e*x)^2)","B"
1754,1,1489,262,2.638963,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^10,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{5\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{5\,e^6}-\frac{B\,b^5\,d}{5\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{4\,e^7}-\frac{B\,b^5\,d}{4\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{A\,a^5}{9\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{9\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{9\,e}-\frac{B\,b^5\,d}{9\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{9\,e}\right)}{e}+\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)}{9\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{9\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{6\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{6\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{6\,e^5}-\frac{B\,b^5\,d}{6\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{8\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{8\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{8\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{8\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{8\,e^3}-\frac{B\,b^5\,d}{8\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{7\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{7\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{7\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{7\,e^4}-\frac{B\,b^5\,d}{7\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(5*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(5*e^6) - (B*b^5*d)/(5*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(4*e^7) - (B*b^5*d)/(4*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (((A*a^5)/(9*e) - (d*((B*a^5 + 5*A*a^4*b)/(9*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(9*e) - (B*b^5*d)/(9*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(9*e)))/e + (10*a^2*b^2*(A*b + B*a))/(9*e)))/e - (5*a^3*b*(2*A*b + B*a))/(9*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(6*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(6*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(6*e^5) - (B*b^5*d)/(6*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(8*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(8*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(8*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(8*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(8*e^3) - (B*b^5*d)/(8*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(7*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(7*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(7*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(7*e^4) - (B*b^5*d)/(7*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*e^7*(a + b*x)*(d + e*x)^3)","B"
1755,1,1488,438,2.570411,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^11,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{6\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{6\,e^6}-\frac{B\,b^5\,d}{6\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{5\,e^7}-\frac{B\,b^5\,d}{5\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{A\,a^5}{10\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{10\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{10\,e}-\frac{B\,b^5\,d}{10\,e^2}\right)}{e}-\frac{a\,b^3\,\left(A\,b+2\,B\,a\right)}{2\,e}\right)}{e}+\frac{a^2\,b^2\,\left(A\,b+B\,a\right)}{e}\right)}{e}-\frac{a^3\,b\,\left(2\,A\,b+B\,a\right)}{2\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{7\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{7\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{7\,e^5}-\frac{B\,b^5\,d}{7\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{9\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{9\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{9\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{9\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{9\,e^3}-\frac{B\,b^5\,d}{9\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{8\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{8\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{8\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{8\,e^4}-\frac{B\,b^5\,d}{8\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(6*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(6*e^6) - (B*b^5*d)/(6*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(5*e^7) - (B*b^5*d)/(5*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((A*a^5)/(10*e) - (d*((B*a^5 + 5*A*a^4*b)/(10*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(10*e) - (B*b^5*d)/(10*e^2)))/e - (a*b^3*(A*b + 2*B*a))/(2*e)))/e + (a^2*b^2*(A*b + B*a))/e))/e - (a^3*b*(2*A*b + B*a))/(2*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(7*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(7*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(7*e^5) - (B*b^5*d)/(7*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(9*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(9*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(9*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(9*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(9*e^3) - (B*b^5*d)/(9*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(8*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(8*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(8*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(8*e^4) - (B*b^5*d)/(8*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*e^7*(a + b*x)*(d + e*x)^4)","B"
1756,1,1489,438,2.596262,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^12,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{7\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{7\,e^6}-\frac{B\,b^5\,d}{7\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{6\,e^7}-\frac{B\,b^5\,d}{6\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{A\,a^5}{11\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{11\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{11\,e}-\frac{B\,b^5\,d}{11\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{11\,e}\right)}{e}+\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)}{11\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{11\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{8\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{8\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{8\,e^5}-\frac{B\,b^5\,d}{8\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{10\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{10\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{10\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{10\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{10\,e^3}-\frac{B\,b^5\,d}{10\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{9\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{9\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{9\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{9\,e^4}-\frac{B\,b^5\,d}{9\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(7*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(7*e^6) - (B*b^5*d)/(7*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(6*e^7) - (B*b^5*d)/(6*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((A*a^5)/(11*e) - (d*((B*a^5 + 5*A*a^4*b)/(11*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(11*e) - (B*b^5*d)/(11*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(11*e)))/e + (10*a^2*b^2*(A*b + B*a))/(11*e)))/e - (5*a^3*b*(2*A*b + B*a))/(11*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(8*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(8*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(8*e^5) - (B*b^5*d)/(8*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(10*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(10*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(10*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(10*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(10*e^3) - (B*b^5*d)/(10*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(9*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(9*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(9*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(9*e^4) - (B*b^5*d)/(9*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*e^7*(a + b*x)*(d + e*x)^5)","B"
1757,1,1489,438,2.633589,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^13,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{8\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{8\,e^6}-\frac{B\,b^5\,d}{8\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{7\,e^7}-\frac{B\,b^5\,d}{7\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{A\,a^5}{12\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{12\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{12\,e}-\frac{B\,b^5\,d}{12\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{12\,e}\right)}{e}+\frac{5\,a^2\,b^2\,\left(A\,b+B\,a\right)}{6\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{12\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{9\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{9\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{9\,e^5}-\frac{B\,b^5\,d}{9\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{11\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{11\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{11\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{11\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{11\,e^3}-\frac{B\,b^5\,d}{11\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{10\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{10\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{10\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{10\,e^4}-\frac{B\,b^5\,d}{10\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(8*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(8*e^6) - (B*b^5*d)/(8*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(7*e^7) - (B*b^5*d)/(7*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((A*a^5)/(12*e) - (d*((B*a^5 + 5*A*a^4*b)/(12*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(12*e) - (B*b^5*d)/(12*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(12*e)))/e + (5*a^2*b^2*(A*b + B*a))/(6*e)))/e - (5*a^3*b*(2*A*b + B*a))/(12*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(9*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(9*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(9*e^5) - (B*b^5*d)/(9*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(11*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(11*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(11*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(11*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(11*e^3) - (B*b^5*d)/(11*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(10*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(10*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(10*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(10*e^4) - (B*b^5*d)/(10*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*e^7*(a + b*x)*(d + e*x)^6)","B"
1758,1,1489,435,2.621583,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^14,x)","-\frac{\left(\frac{10\,B\,a^2\,b^3\,e^2-20\,B\,a\,b^4\,d\,e+5\,A\,a\,b^4\,e^2+10\,B\,b^5\,d^2-4\,A\,b^5\,d\,e}{9\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-4\,B\,b\,d\right)}{9\,e^6}-\frac{B\,b^5\,d}{9\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{A\,b^5\,e-5\,B\,b^5\,d+5\,B\,a\,b^4\,e}{8\,e^7}-\frac{B\,b^5\,d}{8\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{A\,a^5}{13\,e}-\frac{d\,\left(\frac{B\,a^5+5\,A\,b\,a^4}{13\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,b^5+5\,B\,a\,b^4}{13\,e}-\frac{B\,b^5\,d}{13\,e^2}\right)}{e}-\frac{5\,a\,b^3\,\left(A\,b+2\,B\,a\right)}{13\,e}\right)}{e}+\frac{10\,a^2\,b^2\,\left(A\,b+B\,a\right)}{13\,e}\right)}{e}-\frac{5\,a^3\,b\,\left(2\,A\,b+B\,a\right)}{13\,e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{13}}-\frac{\left(\frac{10\,B\,a^3\,b^2\,e^3-30\,B\,a^2\,b^3\,d\,e^2+10\,A\,a^2\,b^3\,e^3+30\,B\,a\,b^4\,d^2\,e-15\,A\,a\,b^4\,d\,e^2-10\,B\,b^5\,d^3+6\,A\,b^5\,d^2\,e}{10\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^3-15\,B\,a\,b^4\,d\,e^2+5\,A\,a\,b^4\,e^3+6\,B\,b^5\,d^2\,e-3\,A\,b^5\,d\,e^2}{10\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-3\,B\,b\,d\right)}{10\,e^5}-\frac{B\,b^5\,d}{10\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{B\,a^5\,e^5-5\,B\,a^4\,b\,d\,e^4+5\,A\,a^4\,b\,e^5+10\,B\,a^3\,b^2\,d^2\,e^3-10\,A\,a^3\,b^2\,d\,e^4-10\,B\,a^2\,b^3\,d^3\,e^2+10\,A\,a^2\,b^3\,d^2\,e^3+5\,B\,a\,b^4\,d^4\,e-5\,A\,a\,b^4\,d^3\,e^2-B\,b^5\,d^5+A\,b^5\,d^4\,e}{12\,e^7}-\frac{d\,\left(\frac{5\,B\,a^4\,b\,e^5-10\,B\,a^3\,b^2\,d\,e^4+10\,A\,a^3\,b^2\,e^5+10\,B\,a^2\,b^3\,d^2\,e^3-10\,A\,a^2\,b^3\,d\,e^4-5\,B\,a\,b^4\,d^3\,e^2+5\,A\,a\,b^4\,d^2\,e^3+B\,b^5\,d^4\,e-A\,b^5\,d^3\,e^2}{12\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^5-10\,B\,a^2\,b^3\,d\,e^4+10\,A\,a^2\,b^3\,e^5+5\,B\,a\,b^4\,d^2\,e^3-5\,A\,a\,b^4\,d\,e^4-B\,b^5\,d^3\,e^2+A\,b^5\,d^2\,e^3}{12\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^5-5\,B\,a\,b^4\,d\,e^4+5\,A\,a\,b^4\,e^5+B\,b^5\,d^2\,e^3-A\,b^5\,d\,e^4}{12\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-B\,b\,d\right)}{12\,e^3}-\frac{B\,b^5\,d}{12\,e^3}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{\left(\frac{5\,B\,a^4\,b\,e^4-20\,B\,a^3\,b^2\,d\,e^3+10\,A\,a^3\,b^2\,e^4+30\,B\,a^2\,b^3\,d^2\,e^2-20\,A\,a^2\,b^3\,d\,e^3-20\,B\,a\,b^4\,d^3\,e+15\,A\,a\,b^4\,d^2\,e^2+5\,B\,b^5\,d^4-4\,A\,b^5\,d^3\,e}{11\,e^7}-\frac{d\,\left(\frac{10\,B\,a^3\,b^2\,e^4-20\,B\,a^2\,b^3\,d\,e^3+10\,A\,a^2\,b^3\,e^4+15\,B\,a\,b^4\,d^2\,e^2-10\,A\,a\,b^4\,d\,e^3-4\,B\,b^5\,d^3\,e+3\,A\,b^5\,d^2\,e^2}{11\,e^7}-\frac{d\,\left(\frac{10\,B\,a^2\,b^3\,e^4-10\,B\,a\,b^4\,d\,e^3+5\,A\,a\,b^4\,e^4+3\,B\,b^5\,d^2\,e^2-2\,A\,b^5\,d\,e^3}{11\,e^7}-\frac{d\,\left(\frac{b^4\,\left(A\,b\,e+5\,B\,a\,e-2\,B\,b\,d\right)}{11\,e^4}-\frac{B\,b^5\,d}{11\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{B\,b^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}","Not used",1,"- (((10*B*b^5*d^2 - 4*A*b^5*d*e + 5*A*a*b^4*e^2 + 10*B*a^2*b^3*e^2 - 20*B*a*b^4*d*e)/(9*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 4*B*b*d))/(9*e^6) - (B*b^5*d)/(9*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((A*b^5*e - 5*B*b^5*d + 5*B*a*b^4*e)/(8*e^7) - (B*b^5*d)/(8*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((A*a^5)/(13*e) - (d*((B*a^5 + 5*A*a^4*b)/(13*e) + (d*((d*((d*((d*((A*b^5 + 5*B*a*b^4)/(13*e) - (B*b^5*d)/(13*e^2)))/e - (5*a*b^3*(A*b + 2*B*a))/(13*e)))/e + (10*a^2*b^2*(A*b + B*a))/(13*e)))/e - (5*a^3*b*(2*A*b + B*a))/(13*e)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^13) - (((6*A*b^5*d^2*e - 10*B*b^5*d^3 + 10*A*a^2*b^3*e^3 + 10*B*a^3*b^2*e^3 - 30*B*a^2*b^3*d*e^2 - 15*A*a*b^4*d*e^2 + 30*B*a*b^4*d^2*e)/(10*e^7) - (d*((5*A*a*b^4*e^3 - 3*A*b^5*d*e^2 + 6*B*b^5*d^2*e + 10*B*a^2*b^3*e^3 - 15*B*a*b^4*d*e^2)/(10*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 3*B*b*d))/(10*e^5) - (B*b^5*d)/(10*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((B*a^5*e^5 - B*b^5*d^5 + 5*A*a^4*b*e^5 + A*b^5*d^4*e - 5*A*a*b^4*d^3*e^2 - 10*A*a^3*b^2*d*e^4 + 10*A*a^2*b^3*d^2*e^3 - 10*B*a^2*b^3*d^3*e^2 + 10*B*a^3*b^2*d^2*e^3 + 5*B*a*b^4*d^4*e - 5*B*a^4*b*d*e^4)/(12*e^7) - (d*((5*B*a^4*b*e^5 + B*b^5*d^4*e + 10*A*a^3*b^2*e^5 - A*b^5*d^3*e^2 + 5*A*a*b^4*d^2*e^3 - 10*A*a^2*b^3*d*e^4 - 5*B*a*b^4*d^3*e^2 - 10*B*a^3*b^2*d*e^4 + 10*B*a^2*b^3*d^2*e^3)/(12*e^7) - (d*((10*A*a^2*b^3*e^5 + 10*B*a^3*b^2*e^5 + A*b^5*d^2*e^3 - B*b^5*d^3*e^2 + 5*B*a*b^4*d^2*e^3 - 10*B*a^2*b^3*d*e^4 - 5*A*a*b^4*d*e^4)/(12*e^7) - (d*((5*A*a*b^4*e^5 - A*b^5*d*e^4 + 10*B*a^2*b^3*e^5 + B*b^5*d^2*e^3 - 5*B*a*b^4*d*e^4)/(12*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - B*b*d))/(12*e^3) - (B*b^5*d)/(12*e^3)))/e))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - (((5*B*b^5*d^4 + 5*B*a^4*b*e^4 - 4*A*b^5*d^3*e + 10*A*a^3*b^2*e^4 + 15*A*a*b^4*d^2*e^2 - 20*A*a^2*b^3*d*e^3 - 20*B*a^3*b^2*d*e^3 + 30*B*a^2*b^3*d^2*e^2 - 20*B*a*b^4*d^3*e)/(11*e^7) - (d*((10*A*a^2*b^3*e^4 - 4*B*b^5*d^3*e + 10*B*a^3*b^2*e^4 + 3*A*b^5*d^2*e^2 + 15*B*a*b^4*d^2*e^2 - 20*B*a^2*b^3*d*e^3 - 10*A*a*b^4*d*e^3)/(11*e^7) - (d*((5*A*a*b^4*e^4 - 2*A*b^5*d*e^3 + 10*B*a^2*b^3*e^4 + 3*B*b^5*d^2*e^2 - 10*B*a*b^4*d*e^3)/(11*e^7) - (d*((b^4*(A*b*e + 5*B*a*e - 2*B*b*d))/(11*e^4) - (B*b^5*d)/(11*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (B*b^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*e^7*(a + b*x)*(d + e*x)^7)","B"
1759,0,-1,248,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/((a + b*x)^2)^(1/2), x)","F"
1760,0,-1,191,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/((a + b*x)^2)^(1/2), x)","F"
1761,0,-1,134,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\left(d+e\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x))/((a + b*x)^2)^(1/2), x)","F"
1762,1,79,69,2.471496,"\text{Not used}","int((A + B*x)/((a + b*x)^2)^(1/2),x)","\frac{B\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^2}+\frac{A\,\ln\left(a+b\,x+\sqrt{{\left(a+b\,x\right)}^2}\right)}{b}-\frac{B\,a\,b\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)}{{\left(b^2\right)}^{3/2}}","Not used",1,"(B*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/b^2 + (A*log(a + b*x + ((a + b*x)^2)^(1/2)))/b - (B*a*b*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x))/(b^2)^(3/2)","B"
1763,0,-1,107,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)), x)","F"
1764,0,-1,148,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^2),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^2), x)","F"
1765,0,-1,212,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^3),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^3), x)","F"
1766,0,-1,271,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^4),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^4), x)","F"
1767,0,-1,329,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1768,0,-1,249,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1769,0,-1,186,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1770,0,-1,127,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\left(d+e\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1771,1,42,69,2.053345,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(A\,b+B\,a+2\,B\,b\,x\right)}{2\,b^2\,{\left(a+b\,x\right)}^3}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(A*b + B*a + 2*B*b*x))/(2*b^2*(a + b*x)^3)","B"
1772,0,-1,196,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1773,0,-1,266,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1774,0,-1,332,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1775,0,-1,373,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^5}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^5)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1776,0,-1,310,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1777,0,-1,227,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1778,1,302,106,2.359647,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\left(\frac{A\,d^2}{4\,b}-\frac{a\,\left(\frac{B\,d^2+2\,A\,e\,d}{4\,b}-\frac{a\,\left(\frac{A\,e^2+2\,B\,d\,e}{4\,b}-\frac{B\,a\,e^2}{4\,b^2}\right)}{b}\right)}{b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{{\left(a+b\,x\right)}^5}-\frac{\left(\frac{A\,b\,e^2-2\,B\,a\,e^2+2\,B\,b\,d\,e}{2\,b^4}-\frac{B\,a\,e^2}{2\,b^4}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{{\left(a+b\,x\right)}^3}-\frac{\left(\frac{B\,a^2\,e^2-2\,B\,a\,b\,d\,e-A\,a\,b\,e^2+B\,b^2\,d^2+2\,A\,b^2\,d\,e}{3\,b^4}-\frac{a\,\left(\frac{e\,\left(A\,b\,e-B\,a\,e+2\,B\,b\,d\right)}{3\,b^3}-\frac{B\,a\,e^2}{3\,b^3}\right)}{b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{{\left(a+b\,x\right)}^4}-\frac{B\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b^4\,{\left(a+b\,x\right)}^2}","Not used",1,"- (((A*d^2)/(4*b) - (a*((B*d^2 + 2*A*d*e)/(4*b) - (a*((A*e^2 + 2*B*d*e)/(4*b) - (B*a*e^2)/(4*b^2)))/b))/b)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a + b*x)^5 - (((A*b*e^2 - 2*B*a*e^2 + 2*B*b*d*e)/(2*b^4) - (B*a*e^2)/(2*b^4))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a + b*x)^3 - (((B*a^2*e^2 + B*b^2*d^2 - A*a*b*e^2 + 2*A*b^2*d*e - 2*B*a*b*d*e)/(3*b^4) - (a*((e*(A*b*e - B*a*e + 2*B*b*d))/(3*b^3) - (B*a*e^2)/(3*b^3)))/b)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(a + b*x)^4 - (B*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(b^4*(a + b*x)^2)","B"
1779,1,87,135,2.238488,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(3\,A\,b^2\,d+B\,a^2\,e+4\,A\,b^2\,e\,x+4\,B\,b^2\,d\,x+6\,B\,b^2\,e\,x^2+A\,a\,b\,e+B\,a\,b\,d+4\,B\,a\,b\,e\,x\right)}{12\,b^3\,{\left(a+b\,x\right)}^5}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(3*A*b^2*d + B*a^2*e + 4*A*b^2*e*x + 4*B*b^2*d*x + 6*B*b^2*e*x^2 + A*a*b*e + B*a*b*d + 4*B*a*b*e*x))/(12*b^3*(a + b*x)^5)","B"
1780,1,43,71,2.124200,"\text{Not used}","int((A + B*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(3\,A\,b+B\,a+4\,B\,b\,x\right)}{12\,b^2\,{\left(a+b\,x\right)}^5}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(3*A*b + B*a + 4*B*b*x))/(12*b^2*(a + b*x)^5)","B"
1781,0,-1,302,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1782,0,-1,388,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1783,0,-1,460,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1784,1,115,128,2.042733,"\text{Not used}","int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x),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"
1785,1,115,128,2.112083,"\text{Not used}","int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x),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"
1786,1,115,128,0.069463,"\text{Not used}","int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x),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"
1787,1,115,128,0.074245,"\text{Not used}","int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x),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"
1788,1,115,126,0.074529,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1789,1,154,124,0.084212,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1790,1,189,124,1.986870,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1791,1,168,124,0.096949,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(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"
1792,1,197,218,1.976622,"\text{Not used}","int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{{\left(d+e\,x\right)}^{17/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{17\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{11/2}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{11\,e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{19/2}}{19\,e^6}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{13/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{13\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{15\,e^6}","Not used",1,"((d + e*x)^(17/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(17*e^6) + (2*(a*e - b*d)^3*(d + e*x)^(11/2)*(4*A*b*e + B*a*e - 5*B*b*d))/(11*e^6) + (2*B*b^4*(d + e*x)^(19/2))/(19*e^6) + (2*(A*e - B*d)*(a*e - b*d)^4*(d + e*x)^(9/2))/(9*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(13/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(13*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(15/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(15*e^6)","B"
1793,1,197,218,1.921457,"\text{Not used}","int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{15\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{9\,e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{17/2}}{17\,e^6}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{11\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{13\,e^6}","Not used",1,"((d + e*x)^(15/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(15*e^6) + (2*(a*e - b*d)^3*(d + e*x)^(9/2)*(4*A*b*e + B*a*e - 5*B*b*d))/(9*e^6) + (2*B*b^4*(d + e*x)^(17/2))/(17*e^6) + (2*(A*e - B*d)*(a*e - b*d)^4*(d + e*x)^(7/2))/(7*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(11/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(11*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(13/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(13*e^6)","B"
1794,1,197,218,0.061369,"\text{Not used}","int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{13\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{7\,e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{9\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{11\,e^6}","Not used",1,"((d + e*x)^(13/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(13*e^6) + (2*(a*e - b*d)^3*(d + e*x)^(7/2)*(4*A*b*e + B*a*e - 5*B*b*d))/(7*e^6) + (2*B*b^4*(d + e*x)^(15/2))/(15*e^6) + (2*(A*e - B*d)*(a*e - b*d)^4*(d + e*x)^(5/2))/(5*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(9/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(9*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(11/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(11*e^6)","B"
1795,1,197,218,1.932835,"\text{Not used}","int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{11\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{5\,e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{7\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{9\,e^6}","Not used",1,"((d + e*x)^(11/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(11*e^6) + (2*(a*e - b*d)^3*(d + e*x)^(5/2)*(4*A*b*e + B*a*e - 5*B*b*d))/(5*e^6) + (2*B*b^4*(d + e*x)^(13/2))/(13*e^6) + (2*(A*e - B*d)*(a*e - b*d)^4*(d + e*x)^(3/2))/(3*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(7/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(7*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(9/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(9*e^6)","B"
1796,1,197,216,0.057759,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{9\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{3\,e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^4\,\sqrt{d+e\,x}}{e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{5\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{7\,e^6}","Not used",1,"((d + e*x)^(9/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(9*e^6) + (2*(a*e - b*d)^3*(d + e*x)^(3/2)*(4*A*b*e + B*a*e - 5*B*b*d))/(3*e^6) + (2*B*b^4*(d + e*x)^(11/2))/(11*e^6) + (2*(A*e - B*d)*(a*e - b*d)^4*(d + e*x)^(1/2))/e^6 + (4*b*(a*e - b*d)^2*(d + e*x)^(5/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(5*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(7/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(7*e^6)","B"
1797,1,296,214,1.953813,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{7\,e^6}-\frac{-2\,B\,a^4\,d\,e^4+2\,A\,a^4\,e^5+8\,B\,a^3\,b\,d^2\,e^3-8\,A\,a^3\,b\,d\,e^4-12\,B\,a^2\,b^2\,d^3\,e^2+12\,A\,a^2\,b^2\,d^2\,e^3+8\,B\,a\,b^3\,d^4\,e-8\,A\,a\,b^3\,d^3\,e^2-2\,B\,b^4\,d^5+2\,A\,b^4\,d^4\,e}{e^6\,\sqrt{d+e\,x}}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}\,\left(4\,A\,b\,e+B\,a\,e-5\,B\,b\,d\right)}{e^6}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{3\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{5\,e^6}","Not used",1,"((d + e*x)^(7/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(7*e^6) - (2*A*a^4*e^5 - 2*B*b^4*d^5 + 2*A*b^4*d^4*e - 2*B*a^4*d*e^4 - 8*A*a*b^3*d^3*e^2 + 8*B*a^3*b*d^2*e^3 + 12*A*a^2*b^2*d^2*e^3 - 12*B*a^2*b^2*d^3*e^2 - 8*A*a^3*b*d*e^4 + 8*B*a*b^3*d^4*e)/(e^6*(d + e*x)^(1/2)) + (2*(a*e - b*d)^3*(d + e*x)^(1/2)*(4*A*b*e + B*a*e - 5*B*b*d))/e^6 + (2*B*b^4*(d + e*x)^(9/2))/(9*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(3/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/(3*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(5/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(5*e^6)","B"
1798,1,367,214,1.943949,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{5\,e^6}-\frac{\left(d+e\,x\right)\,\left(2\,B\,a^4\,e^4-16\,B\,a^3\,b\,d\,e^3+8\,A\,a^3\,b\,e^4+36\,B\,a^2\,b^2\,d^2\,e^2-24\,A\,a^2\,b^2\,d\,e^3-32\,B\,a\,b^3\,d^3\,e+24\,A\,a\,b^3\,d^2\,e^2+10\,B\,b^4\,d^4-8\,A\,b^4\,d^3\,e\right)+\frac{2\,A\,a^4\,e^5}{3}-\frac{2\,B\,b^4\,d^5}{3}+\frac{2\,A\,b^4\,d^4\,e}{3}-\frac{2\,B\,a^4\,d\,e^4}{3}-\frac{8\,A\,a\,b^3\,d^3\,e^2}{3}+\frac{8\,B\,a^3\,b\,d^2\,e^3}{3}+4\,A\,a^2\,b^2\,d^2\,e^3-4\,B\,a^2\,b^2\,d^3\,e^2-\frac{8\,A\,a^3\,b\,d\,e^4}{3}+\frac{8\,B\,a\,b^3\,d^4\,e}{3}}{e^6\,{\left(d+e\,x\right)}^{3/2}}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{4\,b\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e+2\,B\,a\,e-5\,B\,b\,d\right)}{e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{3\,e^6}","Not used",1,"((d + e*x)^(5/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(5*e^6) - ((d + e*x)*(2*B*a^4*e^4 + 10*B*b^4*d^4 + 8*A*a^3*b*e^4 - 8*A*b^4*d^3*e + 24*A*a*b^3*d^2*e^2 - 24*A*a^2*b^2*d*e^3 + 36*B*a^2*b^2*d^2*e^2 - 32*B*a*b^3*d^3*e - 16*B*a^3*b*d*e^3) + (2*A*a^4*e^5)/3 - (2*B*b^4*d^5)/3 + (2*A*b^4*d^4*e)/3 - (2*B*a^4*d*e^4)/3 - (8*A*a*b^3*d^3*e^2)/3 + (8*B*a^3*b*d^2*e^3)/3 + 4*A*a^2*b^2*d^2*e^3 - 4*B*a^2*b^2*d^3*e^2 - (8*A*a^3*b*d*e^4)/3 + (8*B*a*b^3*d^4*e)/3)/(e^6*(d + e*x)^(3/2)) + (2*B*b^4*(d + e*x)^(7/2))/(7*e^6) + (4*b*(a*e - b*d)^2*(d + e*x)^(1/2)*(3*A*b*e + 2*B*a*e - 5*B*b*d))/e^6 + (4*b^2*(a*e - b*d)*(d + e*x)^(3/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/(3*e^6)","B"
1799,1,413,214,1.996393,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{3/2}\,\left(2\,A\,b^4\,e-10\,B\,b^4\,d+8\,B\,a\,b^3\,e\right)}{3\,e^6}-\frac{\left(d+e\,x\right)\,\left(\frac{2\,B\,a^4\,e^4}{3}-\frac{16\,B\,a^3\,b\,d\,e^3}{3}+\frac{8\,A\,a^3\,b\,e^4}{3}+12\,B\,a^2\,b^2\,d^2\,e^2-8\,A\,a^2\,b^2\,d\,e^3-\frac{32\,B\,a\,b^3\,d^3\,e}{3}+8\,A\,a\,b^3\,d^2\,e^2+\frac{10\,B\,b^4\,d^4}{3}-\frac{8\,A\,b^4\,d^3\,e}{3}\right)+{\left(d+e\,x\right)}^2\,\left(8\,B\,a^3\,b\,e^3-36\,B\,a^2\,b^2\,d\,e^2+12\,A\,a^2\,b^2\,e^3+48\,B\,a\,b^3\,d^2\,e-24\,A\,a\,b^3\,d\,e^2-20\,B\,b^4\,d^3+12\,A\,b^4\,d^2\,e\right)+\frac{2\,A\,a^4\,e^5}{5}-\frac{2\,B\,b^4\,d^5}{5}+\frac{2\,A\,b^4\,d^4\,e}{5}-\frac{2\,B\,a^4\,d\,e^4}{5}-\frac{8\,A\,a\,b^3\,d^3\,e^2}{5}+\frac{8\,B\,a^3\,b\,d^2\,e^3}{5}+\frac{12\,A\,a^2\,b^2\,d^2\,e^3}{5}-\frac{12\,B\,a^2\,b^2\,d^3\,e^2}{5}-\frac{8\,A\,a^3\,b\,d\,e^4}{5}+\frac{8\,B\,a\,b^3\,d^4\,e}{5}}{e^6\,{\left(d+e\,x\right)}^{5/2}}+\frac{2\,B\,b^4\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}+\frac{4\,b^2\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}\,\left(2\,A\,b\,e+3\,B\,a\,e-5\,B\,b\,d\right)}{e^6}","Not used",1,"((d + e*x)^(3/2)*(2*A*b^4*e - 10*B*b^4*d + 8*B*a*b^3*e))/(3*e^6) - ((d + e*x)*((2*B*a^4*e^4)/3 + (10*B*b^4*d^4)/3 + (8*A*a^3*b*e^4)/3 - (8*A*b^4*d^3*e)/3 + 8*A*a*b^3*d^2*e^2 - 8*A*a^2*b^2*d*e^3 + 12*B*a^2*b^2*d^2*e^2 - (32*B*a*b^3*d^3*e)/3 - (16*B*a^3*b*d*e^3)/3) + (d + e*x)^2*(8*B*a^3*b*e^3 - 20*B*b^4*d^3 + 12*A*b^4*d^2*e + 12*A*a^2*b^2*e^3 - 36*B*a^2*b^2*d*e^2 - 24*A*a*b^3*d*e^2 + 48*B*a*b^3*d^2*e) + (2*A*a^4*e^5)/5 - (2*B*b^4*d^5)/5 + (2*A*b^4*d^4*e)/5 - (2*B*a^4*d*e^4)/5 - (8*A*a*b^3*d^3*e^2)/5 + (8*B*a^3*b*d^2*e^3)/5 + (12*A*a^2*b^2*d^2*e^3)/5 - (12*B*a^2*b^2*d^3*e^2)/5 - (8*A*a^3*b*d*e^4)/5 + (8*B*a*b^3*d^4*e)/5)/(e^6*(d + e*x)^(5/2)) + (2*B*b^4*(d + e*x)^(5/2))/(5*e^6) + (4*b^2*(a*e - b*d)*(d + e*x)^(1/2)*(2*A*b*e + 3*B*a*e - 5*B*b*d))/e^6","B"
1800,1,279,308,2.022126,"\text{Not used}","int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^{21/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{21\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{11/2}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{11\,e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{23/2}}{23\,e^8}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{13/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{13\,e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{19/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{19\,e^8}+\frac{2\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{15/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{17/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{17\,e^8}","Not used",1,"((d + e*x)^(21/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(21*e^8) + (2*(a*e - b*d)^5*(d + e*x)^(11/2)*(6*A*b*e + B*a*e - 7*B*b*d))/(11*e^8) + (2*B*b^6*(d + e*x)^(23/2))/(23*e^8) + (2*(A*e - B*d)*(a*e - b*d)^6*(d + e*x)^(9/2))/(9*e^8) + (6*b*(a*e - b*d)^4*(d + e*x)^(13/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/(13*e^8) + (6*b^4*(a*e - b*d)*(d + e*x)^(19/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(19*e^8) + (2*b^2*(a*e - b*d)^3*(d + e*x)^(15/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(3*e^8) + (10*b^3*(a*e - b*d)^2*(d + e*x)^(17/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(17*e^8)","B"
1801,1,279,308,1.933115,"\text{Not used}","int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^{19/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{19\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{9/2}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{9\,e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{21/2}}{21\,e^8}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{7/2}}{7\,e^8}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{11/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{11\,e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{17/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{17\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{13/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{13\,e^8}+\frac{2\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{15/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}","Not used",1,"((d + e*x)^(19/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(19*e^8) + (2*(a*e - b*d)^5*(d + e*x)^(9/2)*(6*A*b*e + B*a*e - 7*B*b*d))/(9*e^8) + (2*B*b^6*(d + e*x)^(21/2))/(21*e^8) + (2*(A*e - B*d)*(a*e - b*d)^6*(d + e*x)^(7/2))/(7*e^8) + (6*b*(a*e - b*d)^4*(d + e*x)^(11/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/(11*e^8) + (6*b^4*(a*e - b*d)*(d + e*x)^(17/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(17*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(13/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(13*e^8) + (2*b^3*(a*e - b*d)^2*(d + e*x)^(15/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(3*e^8)","B"
1802,1,279,308,1.932501,"\text{Not used}","int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^{17/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{17\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{7/2}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{7\,e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{9/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}+\frac{2\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{5\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{11/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{11\,e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{13/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{13\,e^8}","Not used",1,"((d + e*x)^(17/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(17*e^8) + (2*(a*e - b*d)^5*(d + e*x)^(7/2)*(6*A*b*e + B*a*e - 7*B*b*d))/(7*e^8) + (2*B*b^6*(d + e*x)^(19/2))/(19*e^8) + (2*(A*e - B*d)*(a*e - b*d)^6*(d + e*x)^(5/2))/(5*e^8) + (2*b*(a*e - b*d)^4*(d + e*x)^(9/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/(3*e^8) + (2*b^4*(a*e - b*d)*(d + e*x)^(15/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(5*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(11/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(11*e^8) + (10*b^3*(a*e - b*d)^2*(d + e*x)^(13/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(13*e^8)","B"
1803,1,279,308,1.934985,"\text{Not used}","int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^{15/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{15\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{5/2}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{5\,e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{7/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{7\,e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{13\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{9\,e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{11\,e^8}","Not used",1,"((d + e*x)^(15/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(15*e^8) + (2*(a*e - b*d)^5*(d + e*x)^(5/2)*(6*A*b*e + B*a*e - 7*B*b*d))/(5*e^8) + (2*B*b^6*(d + e*x)^(17/2))/(17*e^8) + (2*(A*e - B*d)*(a*e - b*d)^6*(d + e*x)^(3/2))/(3*e^8) + (6*b*(a*e - b*d)^4*(d + e*x)^(7/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/(7*e^8) + (6*b^4*(a*e - b*d)*(d + e*x)^(13/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(13*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(9/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(9*e^8) + (10*b^3*(a*e - b*d)^2*(d + e*x)^(11/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(11*e^8)","B"
1804,1,279,306,0.079759,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(1/2),x)","\frac{{\left(d+e\,x\right)}^{13/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{13\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{3/2}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}+\frac{2\,\left(A\,e-B\,d\right)\,{\left(a\,e-b\,d\right)}^6\,\sqrt{d+e\,x}}{e^8}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{5/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{5\,e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{11\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{7\,e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{9\,e^8}","Not used",1,"((d + e*x)^(13/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(13*e^8) + (2*(a*e - b*d)^5*(d + e*x)^(3/2)*(6*A*b*e + B*a*e - 7*B*b*d))/(3*e^8) + (2*B*b^6*(d + e*x)^(15/2))/(15*e^8) + (2*(A*e - B*d)*(a*e - b*d)^6*(d + e*x)^(1/2))/e^8 + (6*b*(a*e - b*d)^4*(d + e*x)^(5/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/(5*e^8) + (6*b^4*(a*e - b*d)*(d + e*x)^(11/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(11*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(7/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(7*e^8) + (10*b^3*(a*e - b*d)^2*(d + e*x)^(9/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(9*e^8)","B"
1805,1,438,300,1.937971,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(3/2),x)","\frac{{\left(d+e\,x\right)}^{11/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{11\,e^8}-\frac{-2\,B\,a^6\,d\,e^6+2\,A\,a^6\,e^7+12\,B\,a^5\,b\,d^2\,e^5-12\,A\,a^5\,b\,d\,e^6-30\,B\,a^4\,b^2\,d^3\,e^4+30\,A\,a^4\,b^2\,d^2\,e^5+40\,B\,a^3\,b^3\,d^4\,e^3-40\,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+12\,B\,a\,b^5\,d^6\,e-12\,A\,a\,b^5\,d^5\,e^2-2\,B\,b^6\,d^7+2\,A\,b^6\,d^6\,e}{e^8\,\sqrt{d+e\,x}}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,\sqrt{d+e\,x}\,\left(6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right)}{e^8}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{3/2}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{e^8}+\frac{2\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}+\frac{2\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{7\,e^8}","Not used",1,"((d + e*x)^(11/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(11*e^8) - (2*A*a^6*e^7 - 2*B*b^6*d^7 + 2*A*b^6*d^6*e - 2*B*a^6*d*e^6 - 12*A*a*b^5*d^5*e^2 + 12*B*a^5*b*d^2*e^5 + 30*A*a^2*b^4*d^4*e^3 - 40*A*a^3*b^3*d^3*e^4 + 30*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 - 30*B*a^4*b^2*d^3*e^4 - 12*A*a^5*b*d*e^6 + 12*B*a*b^5*d^6*e)/(e^8*(d + e*x)^(1/2)) + (2*(a*e - b*d)^5*(d + e*x)^(1/2)*(6*A*b*e + B*a*e - 7*B*b*d))/e^8 + (2*B*b^6*(d + e*x)^(13/2))/(13*e^8) + (2*b*(a*e - b*d)^4*(d + e*x)^(3/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/e^8 + (2*b^4*(a*e - b*d)*(d + e*x)^(9/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(3*e^8) + (2*b^2*(a*e - b*d)^3*(d + e*x)^(5/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/e^8 + (10*b^3*(a*e - b*d)^2*(d + e*x)^(7/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(7*e^8)","B"
1806,1,569,302,1.967781,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(5/2),x)","\frac{{\left(d+e\,x\right)}^{9/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{9\,e^8}-\frac{\left(d+e\,x\right)\,\left(2\,B\,a^6\,e^6-24\,B\,a^5\,b\,d\,e^5+12\,A\,a^5\,b\,e^6+90\,B\,a^4\,b^2\,d^2\,e^4-60\,A\,a^4\,b^2\,d\,e^5-160\,B\,a^3\,b^3\,d^3\,e^3+120\,A\,a^3\,b^3\,d^2\,e^4+150\,B\,a^2\,b^4\,d^4\,e^2-120\,A\,a^2\,b^4\,d^3\,e^3-72\,B\,a\,b^5\,d^5\,e+60\,A\,a\,b^5\,d^4\,e^2+14\,B\,b^6\,d^6-12\,A\,b^6\,d^5\,e\right)+\frac{2\,A\,a^6\,e^7}{3}-\frac{2\,B\,b^6\,d^7}{3}+\frac{2\,A\,b^6\,d^6\,e}{3}-\frac{2\,B\,a^6\,d\,e^6}{3}-4\,A\,a\,b^5\,d^5\,e^2+4\,B\,a^5\,b\,d^2\,e^5+10\,A\,a^2\,b^4\,d^4\,e^3-\frac{40\,A\,a^3\,b^3\,d^3\,e^4}{3}+10\,A\,a^4\,b^2\,d^2\,e^5-10\,B\,a^2\,b^4\,d^5\,e^2+\frac{40\,B\,a^3\,b^3\,d^4\,e^3}{3}-10\,B\,a^4\,b^2\,d^3\,e^4-4\,A\,a^5\,b\,d\,e^6+4\,B\,a\,b^5\,d^6\,e}{e^8\,{\left(d+e\,x\right)}^{3/2}}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^4\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right)}{e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{7\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}+\frac{2\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{e^8}","Not used",1,"((d + e*x)^(9/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(9*e^8) - ((d + e*x)*(2*B*a^6*e^6 + 14*B*b^6*d^6 + 12*A*a^5*b*e^6 - 12*A*b^6*d^5*e + 60*A*a*b^5*d^4*e^2 - 60*A*a^4*b^2*d*e^5 - 120*A*a^2*b^4*d^3*e^3 + 120*A*a^3*b^3*d^2*e^4 + 150*B*a^2*b^4*d^4*e^2 - 160*B*a^3*b^3*d^3*e^3 + 90*B*a^4*b^2*d^2*e^4 - 72*B*a*b^5*d^5*e - 24*B*a^5*b*d*e^5) + (2*A*a^6*e^7)/3 - (2*B*b^6*d^7)/3 + (2*A*b^6*d^6*e)/3 - (2*B*a^6*d*e^6)/3 - 4*A*a*b^5*d^5*e^2 + 4*B*a^5*b*d^2*e^5 + 10*A*a^2*b^4*d^4*e^3 - (40*A*a^3*b^3*d^3*e^4)/3 + 10*A*a^4*b^2*d^2*e^5 - 10*B*a^2*b^4*d^5*e^2 + (40*B*a^3*b^3*d^4*e^3)/3 - 10*B*a^4*b^2*d^3*e^4 - 4*A*a^5*b*d*e^6 + 4*B*a*b^5*d^6*e)/(e^8*(d + e*x)^(3/2)) + (2*B*b^6*(d + e*x)^(11/2))/(11*e^8) + (6*b*(a*e - b*d)^4*(d + e*x)^(1/2)*(5*A*b*e + 2*B*a*e - 7*B*b*d))/e^8 + (6*b^4*(a*e - b*d)*(d + e*x)^(7/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(7*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(3/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/(3*e^8) + (2*b^3*(a*e - b*d)^2*(d + e*x)^(5/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/e^8","B"
1807,1,675,304,1.964760,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(7/2),x)","\frac{{\left(d+e\,x\right)}^{7/2}\,\left(2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right)}{7\,e^8}-\frac{{\left(d+e\,x\right)}^2\,\left(12\,B\,a^5\,b\,e^5-90\,B\,a^4\,b^2\,d\,e^4+30\,A\,a^4\,b^2\,e^5+240\,B\,a^3\,b^3\,d^2\,e^3-120\,A\,a^3\,b^3\,d\,e^4-300\,B\,a^2\,b^4\,d^3\,e^2+180\,A\,a^2\,b^4\,d^2\,e^3+180\,B\,a\,b^5\,d^4\,e-120\,A\,a\,b^5\,d^3\,e^2-42\,B\,b^6\,d^5+30\,A\,b^6\,d^4\,e\right)+\left(d+e\,x\right)\,\left(\frac{2\,B\,a^6\,e^6}{3}-8\,B\,a^5\,b\,d\,e^5+4\,A\,a^5\,b\,e^6+30\,B\,a^4\,b^2\,d^2\,e^4-20\,A\,a^4\,b^2\,d\,e^5-\frac{160\,B\,a^3\,b^3\,d^3\,e^3}{3}+40\,A\,a^3\,b^3\,d^2\,e^4+50\,B\,a^2\,b^4\,d^4\,e^2-40\,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+\frac{14\,B\,b^6\,d^6}{3}-4\,A\,b^6\,d^5\,e\right)+\frac{2\,A\,a^6\,e^7}{5}-\frac{2\,B\,b^6\,d^7}{5}+\frac{2\,A\,b^6\,d^6\,e}{5}-\frac{2\,B\,a^6\,d\,e^6}{5}-\frac{12\,A\,a\,b^5\,d^5\,e^2}{5}+\frac{12\,B\,a^5\,b\,d^2\,e^5}{5}+6\,A\,a^2\,b^4\,d^4\,e^3-8\,A\,a^3\,b^3\,d^3\,e^4+6\,A\,a^4\,b^2\,d^2\,e^5-6\,B\,a^2\,b^4\,d^5\,e^2+8\,B\,a^3\,b^3\,d^4\,e^3-6\,B\,a^4\,b^2\,d^3\,e^4-\frac{12\,A\,a^5\,b\,d\,e^6}{5}+\frac{12\,B\,a\,b^5\,d^6\,e}{5}}{e^8\,{\left(d+e\,x\right)}^{5/2}}+\frac{2\,B\,b^6\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{6\,b^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right)}{5\,e^8}+\frac{10\,b^2\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}\,\left(4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right)}{e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}\,\left(3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right)}{3\,e^8}","Not used",1,"((d + e*x)^(7/2)*(2*A*b^6*e - 14*B*b^6*d + 12*B*a*b^5*e))/(7*e^8) - ((d + e*x)^2*(12*B*a^5*b*e^5 - 42*B*b^6*d^5 + 30*A*b^6*d^4*e + 30*A*a^4*b^2*e^5 - 120*A*a*b^5*d^3*e^2 - 120*A*a^3*b^3*d*e^4 - 90*B*a^4*b^2*d*e^4 + 180*A*a^2*b^4*d^2*e^3 - 300*B*a^2*b^4*d^3*e^2 + 240*B*a^3*b^3*d^2*e^3 + 180*B*a*b^5*d^4*e) + (d + e*x)*((2*B*a^6*e^6)/3 + (14*B*b^6*d^6)/3 + 4*A*a^5*b*e^6 - 4*A*b^6*d^5*e + 20*A*a*b^5*d^4*e^2 - 20*A*a^4*b^2*d*e^5 - 40*A*a^2*b^4*d^3*e^3 + 40*A*a^3*b^3*d^2*e^4 + 50*B*a^2*b^4*d^4*e^2 - (160*B*a^3*b^3*d^3*e^3)/3 + 30*B*a^4*b^2*d^2*e^4 - 24*B*a*b^5*d^5*e - 8*B*a^5*b*d*e^5) + (2*A*a^6*e^7)/5 - (2*B*b^6*d^7)/5 + (2*A*b^6*d^6*e)/5 - (2*B*a^6*d*e^6)/5 - (12*A*a*b^5*d^5*e^2)/5 + (12*B*a^5*b*d^2*e^5)/5 + 6*A*a^2*b^4*d^4*e^3 - 8*A*a^3*b^3*d^3*e^4 + 6*A*a^4*b^2*d^2*e^5 - 6*B*a^2*b^4*d^5*e^2 + 8*B*a^3*b^3*d^4*e^3 - 6*B*a^4*b^2*d^3*e^4 - (12*A*a^5*b*d*e^6)/5 + (12*B*a*b^5*d^6*e)/5)/(e^8*(d + e*x)^(5/2)) + (2*B*b^6*(d + e*x)^(9/2))/(9*e^8) + (6*b^4*(a*e - b*d)*(d + e*x)^(5/2)*(2*A*b*e + 5*B*a*e - 7*B*b*d))/(5*e^8) + (10*b^2*(a*e - b*d)^3*(d + e*x)^(1/2)*(4*A*b*e + 3*B*a*e - 7*B*b*d))/e^8 + (10*b^3*(a*e - b*d)^2*(d + e*x)^(3/2)*(3*A*b*e + 4*B*a*e - 7*B*b*d))/(3*e^8)","B"
1808,1,562,256,0.155505,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x),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"
1809,1,363,214,0.133069,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x),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"
1810,1,174,174,0.191715,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x),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"
1811,1,108,140,2.010021,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x),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"
1812,1,99,103,0.153672,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1813,1,156,140,2.085061,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1814,1,210,181,2.099719,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1815,1,261,221,2.156567,"\text{Not used}","int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)),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"
1816,1,790,332,2.120779,"\text{Not used}","int(((A + B*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\left(\frac{\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{b^4}+\frac{2\,B\,e^2\,\left(4\,b^4\,d-4\,a\,b^3\,e\right)}{b^8}\right)\,\left(4\,b^4\,d-4\,a\,b^3\,e\right)}{b^4}-\frac{12\,B\,e^2\,{\left(a\,e-b\,d\right)}^2}{b^6}\right)\,\sqrt{d+e\,x}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(-\frac{89\,B\,a^3\,b^2\,e^5}{8}+\frac{53\,B\,a^2\,b^3\,d\,e^4}{2}+\frac{55\,A\,a^2\,b^3\,e^5}{8}-\frac{157\,B\,a\,b^4\,d^2\,e^3}{8}-\frac{55\,A\,a\,b^4\,d\,e^4}{4}+\frac{17\,B\,b^5\,d^3\,e^2}{4}+\frac{55\,A\,b^5\,d^2\,e^3}{8}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(\frac{59\,B\,a^4\,b\,e^6}{3}-67\,B\,a^3\,b^2\,d\,e^5-\frac{35\,A\,a^3\,b^2\,e^6}{3}+83\,B\,a^2\,b^3\,d^2\,e^4+35\,A\,a^2\,b^3\,d\,e^5-\frac{131\,B\,a\,b^4\,d^3\,e^3}{3}-35\,A\,a\,b^4\,d^2\,e^4+8\,B\,b^5\,d^4\,e^2+\frac{35\,A\,b^5\,d^3\,e^3}{3}\right)+\sqrt{d+e\,x}\,\left(-\frac{71\,B\,a^5\,e^7}{8}+\frac{157\,B\,a^4\,b\,d\,e^6}{4}+\frac{41\,A\,a^4\,b\,e^7}{8}-\frac{273\,B\,a^3\,b^2\,d^2\,e^5}{4}-\frac{41\,A\,a^3\,b^2\,d\,e^6}{2}+58\,B\,a^2\,b^3\,d^3\,e^4+\frac{123\,A\,a^2\,b^3\,d^2\,e^5}{4}-\frac{191\,B\,a\,b^4\,d^4\,e^3}{8}-\frac{41\,A\,a\,b^4\,d^3\,e^4}{2}+\frac{15\,B\,b^5\,d^5\,e^2}{4}+\frac{41\,A\,b^5\,d^4\,e^3}{8}\right)}{b^9\,{\left(d+e\,x\right)}^3-\left(3\,b^9\,d-3\,a\,b^8\,e\right)\,{\left(d+e\,x\right)}^2+\left(d+e\,x\right)\,\left(3\,a^2\,b^7\,e^2-6\,a\,b^8\,d\,e+3\,b^9\,d^2\right)-b^9\,d^3+a^3\,b^6\,e^3-3\,a^2\,b^7\,d\,e^2+3\,a\,b^8\,d^2\,e}+\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{3\,b^4}+\frac{2\,B\,e^2\,\left(4\,b^4\,d-4\,a\,b^3\,e\right)}{3\,b^8}\right)\,{\left(d+e\,x\right)}^{3/2}+\frac{2\,B\,e^2\,{\left(d+e\,x\right)}^{5/2}}{5\,b^4}+\frac{21\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e-11\,B\,a\,e+6\,B\,b\,d\right)}{-11\,B\,a^3\,e^5+28\,B\,a^2\,b\,d\,e^4+5\,A\,a^2\,b\,e^5-23\,B\,a\,b^2\,d^2\,e^3-10\,A\,a\,b^2\,d\,e^4+6\,B\,b^3\,d^3\,e^2+5\,A\,b^3\,d^2\,e^3}\right)\,{\left(a\,e-b\,d\right)}^{3/2}\,\left(5\,A\,b\,e-11\,B\,a\,e+6\,B\,b\,d\right)}{8\,b^{13/2}}","Not used",1,"((((2*A*e^3 - 2*B*d*e^2)/b^4 + (2*B*e^2*(4*b^4*d - 4*a*b^3*e))/b^8)*(4*b^4*d - 4*a*b^3*e))/b^4 - (12*B*e^2*(a*e - b*d)^2)/b^6)*(d + e*x)^(1/2) - ((d + e*x)^(5/2)*((55*A*a^2*b^3*e^5)/8 - (89*B*a^3*b^2*e^5)/8 + (55*A*b^5*d^2*e^3)/8 + (17*B*b^5*d^3*e^2)/4 - (157*B*a*b^4*d^2*e^3)/8 + (53*B*a^2*b^3*d*e^4)/2 - (55*A*a*b^4*d*e^4)/4) - (d + e*x)^(3/2)*((59*B*a^4*b*e^6)/3 - (35*A*a^3*b^2*e^6)/3 + (35*A*b^5*d^3*e^3)/3 + 8*B*b^5*d^4*e^2 - 35*A*a*b^4*d^2*e^4 + 35*A*a^2*b^3*d*e^5 - (131*B*a*b^4*d^3*e^3)/3 - 67*B*a^3*b^2*d*e^5 + 83*B*a^2*b^3*d^2*e^4) + (d + e*x)^(1/2)*((41*A*a^4*b*e^7)/8 - (71*B*a^5*e^7)/8 + (41*A*b^5*d^4*e^3)/8 + (15*B*b^5*d^5*e^2)/4 - (41*A*a*b^4*d^3*e^4)/2 - (41*A*a^3*b^2*d*e^6)/2 - (191*B*a*b^4*d^4*e^3)/8 + (123*A*a^2*b^3*d^2*e^5)/4 + 58*B*a^2*b^3*d^3*e^4 - (273*B*a^3*b^2*d^2*e^5)/4 + (157*B*a^4*b*d*e^6)/4))/(b^9*(d + e*x)^3 - (3*b^9*d - 3*a*b^8*e)*(d + e*x)^2 + (d + e*x)*(3*b^9*d^2 + 3*a^2*b^7*e^2 - 6*a*b^8*d*e) - b^9*d^3 + a^3*b^6*e^3 - 3*a^2*b^7*d*e^2 + 3*a*b^8*d^2*e) + ((2*A*e^3 - 2*B*d*e^2)/(3*b^4) + (2*B*e^2*(4*b^4*d - 4*a*b^3*e))/(3*b^8))*(d + e*x)^(3/2) + (2*B*e^2*(d + e*x)^(5/2))/(5*b^4) + (21*e^2*atan((b^(1/2)*e^2*(a*e - b*d)^(3/2)*(d + e*x)^(1/2)*(5*A*b*e - 11*B*a*e + 6*B*b*d))/(5*A*a^2*b*e^5 - 11*B*a^3*e^5 + 5*A*b^3*d^2*e^3 + 6*B*b^3*d^3*e^2 - 23*B*a*b^2*d^2*e^3 - 10*A*a*b^2*d*e^4 + 28*B*a^2*b*d*e^4))*(a*e - b*d)^(3/2)*(5*A*b*e - 11*B*a*e + 6*B*b*d))/(8*b^(13/2))","B"
1817,1,513,284,2.157884,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\left(\frac{2\,A\,e^3-2\,B\,d\,e^2}{b^4}+\frac{2\,B\,e^2\,\left(4\,b^4\,d-4\,a\,b^3\,e\right)}{b^8}\right)\,\sqrt{d+e\,x}-\frac{\sqrt{d+e\,x}\,\left(\frac{41\,B\,a^4\,e^6}{8}-\frac{145\,B\,a^3\,b\,d\,e^5}{8}-\frac{19\,A\,a^3\,b\,e^6}{8}+\frac{189\,B\,a^2\,b^2\,d^2\,e^4}{8}+\frac{57\,A\,a^2\,b^2\,d\,e^5}{8}-\frac{107\,B\,a\,b^3\,d^3\,e^3}{8}-\frac{57\,A\,a\,b^3\,d^2\,e^4}{8}+\frac{11\,B\,b^4\,d^4\,e^2}{4}+\frac{19\,A\,b^4\,d^3\,e^3}{8}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(-\frac{35\,B\,a^3\,b\,e^5}{3}+\frac{88\,B\,a^2\,b^2\,d\,e^4}{3}+\frac{17\,A\,a^2\,b^2\,e^5}{3}-\frac{71\,B\,a\,b^3\,d^2\,e^3}{3}-\frac{34\,A\,a\,b^3\,d\,e^4}{3}+6\,B\,b^4\,d^3\,e^2+\frac{17\,A\,b^4\,d^2\,e^3}{3}\right)+{\left(d+e\,x\right)}^{5/2}\,\left(\frac{55\,B\,a^2\,b^2\,e^4}{8}-\frac{81\,B\,a\,b^3\,d\,e^3}{8}-\frac{29\,A\,a\,b^3\,e^4}{8}+\frac{13\,B\,b^4\,d^2\,e^2}{4}+\frac{29\,A\,b^4\,d\,e^3}{8}\right)}{b^8\,{\left(d+e\,x\right)}^3-\left(3\,b^8\,d-3\,a\,b^7\,e\right)\,{\left(d+e\,x\right)}^2+\left(d+e\,x\right)\,\left(3\,a^2\,b^6\,e^2-6\,a\,b^7\,d\,e+3\,b^8\,d^2\right)-b^8\,d^3+a^3\,b^5\,e^3-3\,a^2\,b^6\,d\,e^2+3\,a\,b^7\,d^2\,e}+\frac{2\,B\,e^2\,{\left(d+e\,x\right)}^{3/2}}{3\,b^4}+\frac{e^2\,\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(A\,b\,e-3\,B\,a\,e+2\,B\,b\,d\right)\,35{}\mathrm{i}}{8\,b^{11/2}}","Not used",1,"((2*A*e^3 - 2*B*d*e^2)/b^4 + (2*B*e^2*(4*b^4*d - 4*a*b^3*e))/b^8)*(d + e*x)^(1/2) - ((d + e*x)^(1/2)*((41*B*a^4*e^6)/8 - (19*A*a^3*b*e^6)/8 + (19*A*b^4*d^3*e^3)/8 + (11*B*b^4*d^4*e^2)/4 - (57*A*a*b^3*d^2*e^4)/8 + (57*A*a^2*b^2*d*e^5)/8 - (107*B*a*b^3*d^3*e^3)/8 + (189*B*a^2*b^2*d^2*e^4)/8 - (145*B*a^3*b*d*e^5)/8) - (d + e*x)^(3/2)*((17*A*a^2*b^2*e^5)/3 - (35*B*a^3*b*e^5)/3 + (17*A*b^4*d^2*e^3)/3 + 6*B*b^4*d^3*e^2 - (71*B*a*b^3*d^2*e^3)/3 + (88*B*a^2*b^2*d*e^4)/3 - (34*A*a*b^3*d*e^4)/3) + (d + e*x)^(5/2)*((29*A*b^4*d*e^3)/8 - (29*A*a*b^3*e^4)/8 + (55*B*a^2*b^2*e^4)/8 + (13*B*b^4*d^2*e^2)/4 - (81*B*a*b^3*d*e^3)/8))/(b^8*(d + e*x)^3 - (3*b^8*d - 3*a*b^7*e)*(d + e*x)^2 + (d + e*x)*(3*b^8*d^2 + 3*a^2*b^6*e^2 - 6*a*b^7*d*e) - b^8*d^3 + a^3*b^5*e^3 - 3*a^2*b^6*d*e^2 + 3*a*b^7*d^2*e) + (2*B*e^2*(d + e*x)^(3/2))/(3*b^4) + (e^2*atan((b^(1/2)*(d + e*x)^(1/2)*1i)/(b*d - a*e)^(1/2))*(b*d - a*e)^(1/2)*(A*b*e - 3*B*a*e + 2*B*b*d)*35i)/(8*b^(11/2))","B"
1818,1,416,250,0.233821,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,B\,e^2\,\sqrt{d+e\,x}}{b^4}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(\frac{11\,A\,b^3\,e^3}{8}+\frac{9\,B\,d\,b^3\,e^2}{4}-\frac{29\,B\,a\,b^2\,e^3}{8}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(\frac{17\,B\,a^2\,b\,e^4}{3}-\frac{29\,B\,a\,b^2\,d\,e^3}{3}-\frac{5\,A\,a\,b^2\,e^4}{3}+4\,B\,b^3\,d^2\,e^2+\frac{5\,A\,b^3\,d\,e^3}{3}\right)+\sqrt{d+e\,x}\,\left(-\frac{19\,B\,a^3\,e^5}{8}+\frac{13\,B\,a^2\,b\,d\,e^4}{2}+\frac{5\,A\,a^2\,b\,e^5}{8}-\frac{47\,B\,a\,b^2\,d^2\,e^3}{8}-\frac{5\,A\,a\,b^2\,d\,e^4}{4}+\frac{7\,B\,b^3\,d^3\,e^2}{4}+\frac{5\,A\,b^3\,d^2\,e^3}{8}\right)}{b^7\,{\left(d+e\,x\right)}^3-\left(3\,b^7\,d-3\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^2+\left(d+e\,x\right)\,\left(3\,a^2\,b^5\,e^2-6\,a\,b^6\,d\,e+3\,b^7\,d^2\right)-b^7\,d^3+a^3\,b^4\,e^3-3\,a^2\,b^5\,d\,e^2+3\,a\,b^6\,d^2\,e}+\frac{5\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(A\,b\,e-7\,B\,a\,e+6\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^3-7\,B\,a\,e^3+6\,B\,b\,d\,e^2\right)}\right)\,\left(A\,b\,e-7\,B\,a\,e+6\,B\,b\,d\right)}{8\,b^{9/2}\,\sqrt{a\,e-b\,d}}","Not used",1,"(2*B*e^2*(d + e*x)^(1/2))/b^4 - ((d + e*x)^(5/2)*((11*A*b^3*e^3)/8 - (29*B*a*b^2*e^3)/8 + (9*B*b^3*d*e^2)/4) - (d + e*x)^(3/2)*((17*B*a^2*b*e^4)/3 - (5*A*a*b^2*e^4)/3 + (5*A*b^3*d*e^3)/3 + 4*B*b^3*d^2*e^2 - (29*B*a*b^2*d*e^3)/3) + (d + e*x)^(1/2)*((5*A*a^2*b*e^5)/8 - (19*B*a^3*e^5)/8 + (5*A*b^3*d^2*e^3)/8 + (7*B*b^3*d^3*e^2)/4 - (47*B*a*b^2*d^2*e^3)/8 - (5*A*a*b^2*d*e^4)/4 + (13*B*a^2*b*d*e^4)/2))/(b^7*(d + e*x)^3 - (3*b^7*d - 3*a*b^6*e)*(d + e*x)^2 + (d + e*x)*(3*b^7*d^2 + 3*a^2*b^5*e^2 - 6*a*b^6*d*e) - b^7*d^3 + a^3*b^4*e^3 - 3*a^2*b^5*d*e^2 + 3*a*b^6*d^2*e) + (5*e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(A*b*e - 7*B*a*e + 6*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^3 - 7*B*a*e^3 + 6*B*b*d*e^2)))*(A*b*e - 7*B*a*e + 6*B*b*d))/(8*b^(9/2)*(a*e - b*d)^(1/2))","B"
1819,1,325,209,2.124353,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(A\,b\,e+5\,B\,a\,e-6\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^3+5\,B\,a\,e^3-6\,B\,b\,d\,e^2\right)}\right)\,\left(A\,b\,e+5\,B\,a\,e-6\,B\,b\,d\right)}{8\,b^{7/2}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(A\,b\,e^3+5\,B\,a\,e^3-6\,B\,b\,d\,e^2\right)}{3\,b^2}+\frac{\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}\,\left(A\,b\,e^3+5\,B\,a\,e^3-6\,B\,b\,d\,e^2\right)}{8\,b^3}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(A\,b\,e^3-11\,B\,a\,e^3+10\,B\,b\,d\,e^2\right)}{8\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)+b^3\,{\left(d+e\,x\right)}^3-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^2+a^3\,e^3-b^3\,d^3+3\,a\,b^2\,d^2\,e-3\,a^2\,b\,d\,e^2}","Not used",1,"(e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(A*b*e + 5*B*a*e - 6*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^3 + 5*B*a*e^3 - 6*B*b*d*e^2)))*(A*b*e + 5*B*a*e - 6*B*b*d))/(8*b^(7/2)*(a*e - b*d)^(3/2)) - (((d + e*x)^(3/2)*(A*b*e^3 + 5*B*a*e^3 - 6*B*b*d*e^2))/(3*b^2) + ((a*e - b*d)*(d + e*x)^(1/2)*(A*b*e^3 + 5*B*a*e^3 - 6*B*b*d*e^2))/(8*b^3) - ((d + e*x)^(5/2)*(A*b*e^3 - 11*B*a*e^3 + 10*B*b*d*e^2))/(8*b*(a*e - b*d)))/((d + e*x)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e) + b^3*(d + e*x)^3 - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^2 + a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)","B"
1820,1,310,209,2.130716,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{\frac{{\left(d+e\,x\right)}^{5/2}\,\left(A\,b\,e^3+B\,a\,e^3-2\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^2}-\frac{\sqrt{d+e\,x}\,\left(A\,b\,e^3+B\,a\,e^3-2\,B\,b\,d\,e^2\right)}{8\,b^2}+\frac{\left(A\,b\,e^3-B\,a\,e^3\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)+b^3\,{\left(d+e\,x\right)}^3-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^2+a^3\,e^3-b^3\,d^3+3\,a\,b^2\,d^2\,e-3\,a^2\,b\,d\,e^2}+\frac{e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^3+B\,a\,e^3-2\,B\,b\,d\,e^2\right)}\right)\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{8\,b^{5/2}\,{\left(a\,e-b\,d\right)}^{5/2}}","Not used",1,"(((d + e*x)^(5/2)*(A*b*e^3 + B*a*e^3 - 2*B*b*d*e^2))/(8*(a*e - b*d)^2) - ((d + e*x)^(1/2)*(A*b*e^3 + B*a*e^3 - 2*B*b*d*e^2))/(8*b^2) + ((A*b*e^3 - B*a*e^3)*(d + e*x)^(3/2))/(3*b*(a*e - b*d)))/((d + e*x)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e) + b^3*(d + e*x)^3 - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^2 + a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + (e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(A*b*e + B*a*e - 2*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^3 + B*a*e^3 - 2*B*b*d*e^2)))*(A*b*e + B*a*e - 2*B*b*d))/(8*b^(5/2)*(a*e - b*d)^(5/2))","B"
1821,1,331,209,2.129358,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{{\left(d+e\,x\right)}^{3/2}\,\left(5\,A\,b\,e^3+B\,a\,e^3-6\,B\,b\,d\,e^2\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{b\,{\left(d+e\,x\right)}^{5/2}\,\left(5\,A\,b\,e^3+B\,a\,e^3-6\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^3}-\frac{\sqrt{d+e\,x}\,\left(B\,a\,e^3-11\,A\,b\,e^3+10\,B\,b\,d\,e^2\right)}{8\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)+b^3\,{\left(d+e\,x\right)}^3-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^2+a^3\,e^3-b^3\,d^3+3\,a\,b^2\,d^2\,e-3\,a^2\,b\,d\,e^2}+\frac{e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(5\,A\,b\,e+B\,a\,e-6\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(5\,A\,b\,e^3+B\,a\,e^3-6\,B\,b\,d\,e^2\right)}\right)\,\left(5\,A\,b\,e+B\,a\,e-6\,B\,b\,d\right)}{8\,b^{3/2}\,{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"(((d + e*x)^(3/2)*(5*A*b*e^3 + B*a*e^3 - 6*B*b*d*e^2))/(3*(a*e - b*d)^2) + (b*(d + e*x)^(5/2)*(5*A*b*e^3 + B*a*e^3 - 6*B*b*d*e^2))/(8*(a*e - b*d)^3) - ((d + e*x)^(1/2)*(B*a*e^3 - 11*A*b*e^3 + 10*B*b*d*e^2))/(8*b*(a*e - b*d)))/((d + e*x)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e) + b^3*(d + e*x)^3 - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^2 + a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + (e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(5*A*b*e + B*a*e - 6*B*b*d))/((a*e - b*d)^(1/2)*(5*A*b*e^3 + B*a*e^3 - 6*B*b*d*e^2)))*(5*A*b*e + B*a*e - 6*B*b*d))/(8*b^(3/2)*(a*e - b*d)^(7/2))","B"
1822,1,420,250,2.340254,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{5\,{\left(d+e\,x\right)}^2\,\left(-7\,A\,b^2\,e^3+6\,B\,d\,b^2\,e^2+B\,a\,b\,e^3\right)}{3\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{a\,e-b\,d}+\frac{11\,\left(d+e\,x\right)\,\left(B\,a\,e^3-7\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^2}+\frac{5\,b^2\,{\left(d+e\,x\right)}^3\,\left(B\,a\,e^3-7\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^4}}{\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)+b^3\,{\left(d+e\,x\right)}^{7/2}-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{5/2}+{\left(d+e\,x\right)}^{3/2}\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)}+\frac{5\,e^2\,\mathrm{atan}\left(\frac{5\,\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(B\,a\,e-7\,A\,b\,e+6\,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(5\,B\,a\,e^3-35\,A\,b\,e^3+30\,B\,b\,d\,e^2\right)}\right)\,\left(B\,a\,e-7\,A\,b\,e+6\,B\,b\,d\right)}{8\,\sqrt{b}\,{\left(a\,e-b\,d\right)}^{9/2}}","Not used",1,"((5*(d + e*x)^2*(B*a*b*e^3 - 7*A*b^2*e^3 + 6*B*b^2*d*e^2))/(3*(a*e - b*d)^3) - (2*(A*e^3 - B*d*e^2))/(a*e - b*d) + (11*(d + e*x)*(B*a*e^3 - 7*A*b*e^3 + 6*B*b*d*e^2))/(8*(a*e - b*d)^2) + (5*b^2*(d + e*x)^3*(B*a*e^3 - 7*A*b*e^3 + 6*B*b*d*e^2))/(8*(a*e - b*d)^4))/((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) + b^3*(d + e*x)^(7/2) - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^(5/2) + (d + e*x)^(3/2)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e)) + (5*e^2*atan((5*b^(1/2)*e^2*(d + e*x)^(1/2)*(B*a*e - 7*A*b*e + 6*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)*(5*B*a*e^3 - 35*A*b*e^3 + 30*B*b*d*e^2)))*(B*a*e - 7*A*b*e + 6*B*b*d))/(8*b^(1/2)*(a*e - b*d)^(9/2))","B"
1823,1,483,291,2.510648,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","-\frac{\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{3\,\left(a\,e-b\,d\right)}+\frac{77\,{\left(d+e\,x\right)}^2\,\left(-3\,A\,b^2\,e^3+2\,B\,d\,b^2\,e^2+B\,a\,b\,e^3\right)}{8\,{\left(a\,e-b\,d\right)}^3}+\frac{35\,{\left(d+e\,x\right)}^3\,\left(-3\,A\,b^3\,e^3+2\,B\,d\,b^3\,e^2+B\,a\,b^2\,e^3\right)}{3\,{\left(a\,e-b\,d\right)}^4}+\frac{2\,\left(d+e\,x\right)\,\left(B\,a\,e^3-3\,A\,b\,e^3+2\,B\,b\,d\,e^2\right)}{{\left(a\,e-b\,d\right)}^2}+\frac{35\,b^3\,{\left(d+e\,x\right)}^4\,\left(B\,a\,e^3-3\,A\,b\,e^3+2\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^5}}{{\left(d+e\,x\right)}^{3/2}\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)+b^3\,{\left(d+e\,x\right)}^{9/2}-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{7/2}+{\left(d+e\,x\right)}^{5/2}\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)}-\frac{35\,\sqrt{b}\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(B\,a\,e-3\,A\,b\,e+2\,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(B\,a\,e^3-3\,A\,b\,e^3+2\,B\,b\,d\,e^2\right)}\right)\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{8\,{\left(a\,e-b\,d\right)}^{11/2}}","Not used",1,"- ((2*(A*e^3 - B*d*e^2))/(3*(a*e - b*d)) + (77*(d + e*x)^2*(B*a*b*e^3 - 3*A*b^2*e^3 + 2*B*b^2*d*e^2))/(8*(a*e - b*d)^3) + (35*(d + e*x)^3*(B*a*b^2*e^3 - 3*A*b^3*e^3 + 2*B*b^3*d*e^2))/(3*(a*e - b*d)^4) + (2*(d + e*x)*(B*a*e^3 - 3*A*b*e^3 + 2*B*b*d*e^2))/(a*e - b*d)^2 + (35*b^3*(d + e*x)^4*(B*a*e^3 - 3*A*b*e^3 + 2*B*b*d*e^2))/(8*(a*e - b*d)^5))/((d + e*x)^(3/2)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + b^3*(d + e*x)^(9/2) - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^(7/2) + (d + e*x)^(5/2)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e)) - (35*b^(1/2)*e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(B*a*e - 3*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))/((a*e - b*d)^(11/2)*(B*a*e^3 - 3*A*b*e^3 + 2*B*b*d*e^2)))*(B*a*e - 3*A*b*e + 2*B*b*d))/(8*(a*e - b*d)^(11/2))","B"
1824,1,547,339,2.650978,"\text{Not used}","int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{231\,{\left(d+e\,x\right)}^3\,\left(-11\,A\,b^3\,e^3+6\,B\,d\,b^3\,e^2+5\,B\,a\,b^2\,e^3\right)}{40\,{\left(a\,e-b\,d\right)}^4}-\frac{2\,\left(A\,e^3-B\,d\,e^2\right)}{5\,\left(a\,e-b\,d\right)}+\frac{7\,{\left(d+e\,x\right)}^4\,\left(-11\,A\,b^4\,e^3+6\,B\,d\,b^4\,e^2+5\,B\,a\,b^3\,e^3\right)}{{\left(a\,e-b\,d\right)}^5}-\frac{2\,\left(d+e\,x\right)\,\left(5\,B\,a\,e^3-11\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}{15\,{\left(a\,e-b\,d\right)}^2}+\frac{6\,b\,{\left(d+e\,x\right)}^2\,\left(5\,B\,a\,e^3-11\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}{5\,{\left(a\,e-b\,d\right)}^3}+\frac{21\,b^4\,{\left(d+e\,x\right)}^5\,\left(5\,B\,a\,e^3-11\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}{8\,{\left(a\,e-b\,d\right)}^6}}{{\left(d+e\,x\right)}^{5/2}\,\left(a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3\right)+b^3\,{\left(d+e\,x\right)}^{11/2}-\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{9/2}+{\left(d+e\,x\right)}^{7/2}\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)}+\frac{21\,b^{3/2}\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{d+e\,x}\,\left(5\,B\,a\,e-11\,A\,b\,e+6\,B\,b\,d\right)\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}{{\left(a\,e-b\,d\right)}^{13/2}\,\left(5\,B\,a\,e^3-11\,A\,b\,e^3+6\,B\,b\,d\,e^2\right)}\right)\,\left(5\,B\,a\,e-11\,A\,b\,e+6\,B\,b\,d\right)}{8\,{\left(a\,e-b\,d\right)}^{13/2}}","Not used",1,"((231*(d + e*x)^3*(5*B*a*b^2*e^3 - 11*A*b^3*e^3 + 6*B*b^3*d*e^2))/(40*(a*e - b*d)^4) - (2*(A*e^3 - B*d*e^2))/(5*(a*e - b*d)) + (7*(d + e*x)^4*(5*B*a*b^3*e^3 - 11*A*b^4*e^3 + 6*B*b^4*d*e^2))/(a*e - b*d)^5 - (2*(d + e*x)*(5*B*a*e^3 - 11*A*b*e^3 + 6*B*b*d*e^2))/(15*(a*e - b*d)^2) + (6*b*(d + e*x)^2*(5*B*a*e^3 - 11*A*b*e^3 + 6*B*b*d*e^2))/(5*(a*e - b*d)^3) + (21*b^4*(d + e*x)^5*(5*B*a*e^3 - 11*A*b*e^3 + 6*B*b*d*e^2))/(8*(a*e - b*d)^6))/((d + e*x)^(5/2)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2) + b^3*(d + e*x)^(11/2) - (3*b^3*d - 3*a*b^2*e)*(d + e*x)^(9/2) + (d + e*x)^(7/2)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e)) + (21*b^(3/2)*e^2*atan((b^(1/2)*e^2*(d + e*x)^(1/2)*(5*B*a*e - 11*A*b*e + 6*B*b*d)*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5))/((a*e - b*d)^(13/2)*(5*B*a*e^3 - 11*A*b*e^3 + 6*B*b*d*e^2)))*(5*B*a*e - 11*A*b*e + 6*B*b*d))/(8*(a*e - b*d)^(13/2))","B"
1825,1,996,393,0.479487,"\text{Not used}","int(((A + B*x)*(d + e*x)^(11/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\left(\frac{2\,A\,e^5-2\,B\,d\,e^4}{b^6}+\frac{2\,B\,e^4\,\left(6\,b^6\,d-6\,a\,b^5\,e\right)}{b^{12}}\right)\,\sqrt{d+e\,x}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(\frac{1253\,B\,a^4\,b^2\,e^8}{15}-\frac{4619\,B\,a^3\,b^3\,d\,e^7}{15}-\frac{131\,A\,a^3\,b^3\,e^8}{5}+\frac{2113\,B\,a^2\,b^4\,d^2\,e^6}{5}+\frac{393\,A\,a^2\,b^4\,d\,e^7}{5}-\frac{3833\,B\,a\,b^5\,d^3\,e^5}{15}-\frac{393\,A\,a\,b^5\,d^2\,e^6}{5}+\frac{172\,B\,b^6\,d^4\,e^4}{3}+\frac{131\,A\,b^6\,d^3\,e^5}{5}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(-\frac{9629\,B\,a^5\,b\,e^9}{192}+\frac{22607\,B\,a^4\,b^2\,d\,e^8}{96}+\frac{977\,A\,a^4\,b^2\,e^9}{64}-\frac{42283\,B\,a^3\,b^3\,d^2\,e^7}{96}-\frac{977\,A\,a^3\,b^3\,d\,e^8}{16}+\frac{4919\,B\,a^2\,b^4\,d^3\,e^6}{12}+\frac{2931\,A\,a^2\,b^4\,d^2\,e^7}{32}-\frac{36421\,B\,a\,b^5\,d^4\,e^5}{192}-\frac{977\,A\,a\,b^5\,d^3\,e^6}{16}+\frac{3349\,B\,b^6\,d^5\,e^4}{96}+\frac{977\,A\,b^6\,d^4\,e^5}{64}\right)-{\left(d+e\,x\right)}^{7/2}\,\left(-\frac{12131\,B\,a^3\,b^3\,e^7}{192}+\frac{2701\,B\,a^2\,b^4\,d\,e^6}{16}+\frac{1327\,A\,a^2\,b^4\,e^7}{64}-\frac{9477\,B\,a\,b^5\,d^2\,e^5}{64}-\frac{1327\,A\,a\,b^5\,d\,e^6}{32}+\frac{4075\,B\,b^6\,d^3\,e^4}{96}+\frac{1327\,A\,b^6\,d^2\,e^5}{64}\right)+\sqrt{d+e\,x}\,\left(\frac{1467\,B\,a^6\,e^{10}}{128}-\frac{8365\,B\,a^5\,b\,d\,e^9}{128}-\frac{437\,A\,a^5\,b\,e^{10}}{128}+\frac{4955\,B\,a^4\,b^2\,d^2\,e^8}{32}+\frac{2185\,A\,a^4\,b^2\,d\,e^9}{128}-\frac{12485\,B\,a^3\,b^3\,d^3\,e^7}{64}-\frac{2185\,A\,a^3\,b^3\,d^2\,e^8}{64}+\frac{17635\,B\,a^2\,b^4\,d^4\,e^6}{128}+\frac{2185\,A\,a^2\,b^4\,d^3\,e^7}{64}-\frac{6617\,B\,a\,b^5\,d^5\,e^5}{128}-\frac{2185\,A\,a\,b^5\,d^4\,e^6}{128}+\frac{515\,B\,b^6\,d^6\,e^4}{64}+\frac{437\,A\,b^6\,d^5\,e^5}{128}\right)+{\left(d+e\,x\right)}^{9/2}\,\left(\frac{2373\,B\,a^2\,b^4\,e^6}{128}-\frac{3903\,B\,a\,b^5\,d\,e^5}{128}-\frac{843\,A\,a\,b^5\,e^6}{128}+\frac{765\,B\,b^6\,d^2\,e^4}{64}+\frac{843\,A\,b^6\,d\,e^5}{128}\right)}{\left(d+e\,x\right)\,\left(5\,a^4\,b^8\,e^4-20\,a^3\,b^9\,d\,e^3+30\,a^2\,b^{10}\,d^2\,e^2-20\,a\,b^{11}\,d^3\,e+5\,b^{12}\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^9\,e^3+30\,a^2\,b^{10}\,d\,e^2-30\,a\,b^{11}\,d^2\,e+10\,b^{12}\,d^3\right)+b^{12}\,{\left(d+e\,x\right)}^5-\left(5\,b^{12}\,d-5\,a\,b^{11}\,e\right)\,{\left(d+e\,x\right)}^4-b^{12}\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^{10}\,e^2-20\,a\,b^{11}\,d\,e+10\,b^{12}\,d^2\right)+a^5\,b^7\,e^5-5\,a^4\,b^8\,d\,e^4-10\,a^2\,b^{10}\,d^3\,e^2+10\,a^3\,b^9\,d^2\,e^3+5\,a\,b^{11}\,d^4\,e}+\frac{2\,B\,e^4\,{\left(d+e\,x\right)}^{3/2}}{3\,b^6}+\frac{e^4\,\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-13\,B\,a\,e+10\,B\,b\,d\right)\,231{}\mathrm{i}}{128\,b^{15/2}}","Not used",1,"((2*A*e^5 - 2*B*d*e^4)/b^6 + (2*B*e^4*(6*b^6*d - 6*a*b^5*e))/b^12)*(d + e*x)^(1/2) - ((d + e*x)^(5/2)*((1253*B*a^4*b^2*e^8)/15 - (131*A*a^3*b^3*e^8)/5 + (131*A*b^6*d^3*e^5)/5 + (172*B*b^6*d^4*e^4)/3 - (393*A*a*b^5*d^2*e^6)/5 + (393*A*a^2*b^4*d*e^7)/5 - (3833*B*a*b^5*d^3*e^5)/15 - (4619*B*a^3*b^3*d*e^7)/15 + (2113*B*a^2*b^4*d^2*e^6)/5) - (d + e*x)^(3/2)*((977*A*a^4*b^2*e^9)/64 - (9629*B*a^5*b*e^9)/192 + (977*A*b^6*d^4*e^5)/64 + (3349*B*b^6*d^5*e^4)/96 - (977*A*a*b^5*d^3*e^6)/16 - (977*A*a^3*b^3*d*e^8)/16 - (36421*B*a*b^5*d^4*e^5)/192 + (22607*B*a^4*b^2*d*e^8)/96 + (2931*A*a^2*b^4*d^2*e^7)/32 + (4919*B*a^2*b^4*d^3*e^6)/12 - (42283*B*a^3*b^3*d^2*e^7)/96) - (d + e*x)^(7/2)*((1327*A*a^2*b^4*e^7)/64 - (12131*B*a^3*b^3*e^7)/192 + (1327*A*b^6*d^2*e^5)/64 + (4075*B*b^6*d^3*e^4)/96 - (9477*B*a*b^5*d^2*e^5)/64 + (2701*B*a^2*b^4*d*e^6)/16 - (1327*A*a*b^5*d*e^6)/32) + (d + e*x)^(1/2)*((1467*B*a^6*e^10)/128 - (437*A*a^5*b*e^10)/128 + (437*A*b^6*d^5*e^5)/128 + (515*B*b^6*d^6*e^4)/64 - (2185*A*a*b^5*d^4*e^6)/128 + (2185*A*a^4*b^2*d*e^9)/128 - (6617*B*a*b^5*d^5*e^5)/128 + (2185*A*a^2*b^4*d^3*e^7)/64 - (2185*A*a^3*b^3*d^2*e^8)/64 + (17635*B*a^2*b^4*d^4*e^6)/128 - (12485*B*a^3*b^3*d^3*e^7)/64 + (4955*B*a^4*b^2*d^2*e^8)/32 - (8365*B*a^5*b*d*e^9)/128) + (d + e*x)^(9/2)*((843*A*b^6*d*e^5)/128 - (843*A*a*b^5*e^6)/128 + (2373*B*a^2*b^4*e^6)/128 + (765*B*b^6*d^2*e^4)/64 - (3903*B*a*b^5*d*e^5)/128))/((d + e*x)*(5*b^12*d^4 + 5*a^4*b^8*e^4 - 20*a^3*b^9*d*e^3 + 30*a^2*b^10*d^2*e^2 - 20*a*b^11*d^3*e) - (d + e*x)^2*(10*b^12*d^3 - 10*a^3*b^9*e^3 + 30*a^2*b^10*d*e^2 - 30*a*b^11*d^2*e) + b^12*(d + e*x)^5 - (5*b^12*d - 5*a*b^11*e)*(d + e*x)^4 - b^12*d^5 + (d + e*x)^3*(10*b^12*d^2 + 10*a^2*b^10*e^2 - 20*a*b^11*d*e) + a^5*b^7*e^5 - 5*a^4*b^8*d*e^4 - 10*a^2*b^10*d^3*e^2 + 10*a^3*b^9*d^2*e^3 + 5*a*b^11*d^4*e) + (2*B*e^4*(d + e*x)^(3/2))/(3*b^6) + (e^4*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 - 13*B*a*e + 10*B*b*d)*231i)/(128*b^(15/2))","B"
1826,1,838,352,2.275886,"\text{Not used}","int(((A + B*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,B\,e^4\,\sqrt{d+e\,x}}{b^6}-\frac{{\left(d+e\,x\right)}^{5/2}\,\left(-\frac{131\,B\,a^3\,b^2\,e^7}{5}+\frac{372\,B\,a^2\,b^3\,d\,e^6}{5}+\frac{21\,A\,a^2\,b^3\,e^7}{5}-\frac{351\,B\,a\,b^4\,d^2\,e^5}{5}-\frac{42\,A\,a\,b^4\,d\,e^6}{5}+22\,B\,b^5\,d^3\,e^4+\frac{21\,A\,b^5\,d^2\,e^5}{5}\right)-{\left(d+e\,x\right)}^{3/2}\,\left(\frac{977\,B\,a^4\,b\,e^8}{64}-\frac{3761\,B\,a^3\,b^2\,d\,e^7}{64}-\frac{147\,A\,a^3\,b^2\,e^8}{64}+\frac{5421\,B\,a^2\,b^3\,d^2\,e^6}{64}+\frac{441\,A\,a^2\,b^3\,d\,e^7}{64}-\frac{3467\,B\,a\,b^4\,d^3\,e^5}{64}-\frac{441\,A\,a\,b^4\,d^2\,e^6}{64}+\frac{415\,B\,b^5\,d^4\,e^4}{32}+\frac{147\,A\,b^5\,d^3\,e^5}{64}\right)+{\left(d+e\,x\right)}^{9/2}\,\left(\frac{193\,A\,b^5\,e^5}{128}+\frac{325\,B\,d\,b^5\,e^4}{64}-\frac{843\,B\,a\,b^4\,e^5}{128}\right)+\sqrt{d+e\,x}\,\left(-\frac{437\,B\,a^5\,e^9}{128}+\frac{1061\,B\,a^4\,b\,d\,e^8}{64}+\frac{63\,A\,a^4\,b\,e^9}{128}-\frac{2059\,B\,a^3\,b^2\,d^2\,e^7}{64}-\frac{63\,A\,a^3\,b^2\,d\,e^8}{32}+\frac{499\,B\,a^2\,b^3\,d^3\,e^6}{16}+\frac{189\,A\,a^2\,b^3\,d^2\,e^7}{64}-\frac{1933\,B\,a\,b^4\,d^4\,e^5}{128}-\frac{63\,A\,a\,b^4\,d^3\,e^6}{32}+\frac{187\,B\,b^5\,d^5\,e^4}{64}+\frac{63\,A\,b^5\,d^4\,e^5}{128}\right)-{\left(d+e\,x\right)}^{7/2}\,\left(\frac{1327\,B\,a^2\,b^3\,e^6}{64}-\frac{2417\,B\,a\,b^4\,d\,e^5}{64}-\frac{237\,A\,a\,b^4\,e^6}{64}+\frac{545\,B\,b^5\,d^2\,e^4}{32}+\frac{237\,A\,b^5\,d\,e^5}{64}\right)}{\left(d+e\,x\right)\,\left(5\,a^4\,b^7\,e^4-20\,a^3\,b^8\,d\,e^3+30\,a^2\,b^9\,d^2\,e^2-20\,a\,b^{10}\,d^3\,e+5\,b^{11}\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^8\,e^3+30\,a^2\,b^9\,d\,e^2-30\,a\,b^{10}\,d^2\,e+10\,b^{11}\,d^3\right)+b^{11}\,{\left(d+e\,x\right)}^5-\left(5\,b^{11}\,d-5\,a\,b^{10}\,e\right)\,{\left(d+e\,x\right)}^4-b^{11}\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^9\,e^2-20\,a\,b^{10}\,d\,e+10\,b^{11}\,d^2\right)+a^5\,b^6\,e^5-5\,a^4\,b^7\,d\,e^4-10\,a^2\,b^9\,d^3\,e^2+10\,a^3\,b^8\,d^2\,e^3+5\,a\,b^{10}\,d^4\,e}+\frac{63\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(A\,b\,e-11\,B\,a\,e+10\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^5-11\,B\,a\,e^5+10\,B\,b\,d\,e^4\right)}\right)\,\left(A\,b\,e-11\,B\,a\,e+10\,B\,b\,d\right)}{128\,b^{13/2}\,\sqrt{a\,e-b\,d}}","Not used",1,"(2*B*e^4*(d + e*x)^(1/2))/b^6 - ((d + e*x)^(5/2)*((21*A*a^2*b^3*e^7)/5 - (131*B*a^3*b^2*e^7)/5 + (21*A*b^5*d^2*e^5)/5 + 22*B*b^5*d^3*e^4 - (351*B*a*b^4*d^2*e^5)/5 + (372*B*a^2*b^3*d*e^6)/5 - (42*A*a*b^4*d*e^6)/5) - (d + e*x)^(3/2)*((977*B*a^4*b*e^8)/64 - (147*A*a^3*b^2*e^8)/64 + (147*A*b^5*d^3*e^5)/64 + (415*B*b^5*d^4*e^4)/32 - (441*A*a*b^4*d^2*e^6)/64 + (441*A*a^2*b^3*d*e^7)/64 - (3467*B*a*b^4*d^3*e^5)/64 - (3761*B*a^3*b^2*d*e^7)/64 + (5421*B*a^2*b^3*d^2*e^6)/64) + (d + e*x)^(9/2)*((193*A*b^5*e^5)/128 - (843*B*a*b^4*e^5)/128 + (325*B*b^5*d*e^4)/64) + (d + e*x)^(1/2)*((63*A*a^4*b*e^9)/128 - (437*B*a^5*e^9)/128 + (63*A*b^5*d^4*e^5)/128 + (187*B*b^5*d^5*e^4)/64 - (63*A*a*b^4*d^3*e^6)/32 - (63*A*a^3*b^2*d*e^8)/32 - (1933*B*a*b^4*d^4*e^5)/128 + (189*A*a^2*b^3*d^2*e^7)/64 + (499*B*a^2*b^3*d^3*e^6)/16 - (2059*B*a^3*b^2*d^2*e^7)/64 + (1061*B*a^4*b*d*e^8)/64) - (d + e*x)^(7/2)*((237*A*b^5*d*e^5)/64 - (237*A*a*b^4*e^6)/64 + (1327*B*a^2*b^3*e^6)/64 + (545*B*b^5*d^2*e^4)/32 - (2417*B*a*b^4*d*e^5)/64))/((d + e*x)*(5*b^11*d^4 + 5*a^4*b^7*e^4 - 20*a^3*b^8*d*e^3 + 30*a^2*b^9*d^2*e^2 - 20*a*b^10*d^3*e) - (d + e*x)^2*(10*b^11*d^3 - 10*a^3*b^8*e^3 + 30*a^2*b^9*d*e^2 - 30*a*b^10*d^2*e) + b^11*(d + e*x)^5 - (5*b^11*d - 5*a*b^10*e)*(d + e*x)^4 - b^11*d^5 + (d + e*x)^3*(10*b^11*d^2 + 10*a^2*b^9*e^2 - 20*a*b^10*d*e) + a^5*b^6*e^5 - 5*a^4*b^7*d*e^4 - 10*a^2*b^9*d^3*e^2 + 10*a^3*b^8*d^2*e^3 + 5*a*b^10*d^4*e) + (63*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(A*b*e - 11*B*a*e + 10*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^5 - 11*B*a*e^5 + 10*B*b*d*e^4)))*(A*b*e - 11*B*a*e + 10*B*b*d))/(128*b^(13/2)*(a*e - b*d)^(1/2))","B"
1827,1,594,313,0.440753,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{7\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(A\,b\,e+9\,B\,a\,e-10\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^5+9\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}\right)\,\left(A\,b\,e+9\,B\,a\,e-10\,B\,b\,d\right)}{128\,b^{11/2}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{\frac{79\,{\left(d+e\,x\right)}^{7/2}\,\left(A\,b\,e^5+9\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{192\,b^2}+\frac{7\,\sqrt{d+e\,x}\,\left(A\,b\,e^5+9\,B\,a\,e^5-10\,B\,b\,d\,e^4\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)}{128\,b^5}+\frac{7\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}\,\left(A\,b\,e^5+9\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{15\,b^3}-\frac{{\left(d+e\,x\right)}^{9/2}\,\left(7\,A\,b\,e^5-193\,B\,a\,e^5+186\,B\,b\,d\,e^4\right)}{128\,b\,\left(a\,e-b\,d\right)}+\frac{49\,{\left(d+e\,x\right)}^{3/2}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)\,\left(A\,b\,e^5+9\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{192\,b^4}}{\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+b^5\,{\left(d+e\,x\right)}^5-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^4+a^5\,e^5-b^5\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)-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}","Not used",1,"(7*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(A*b*e + 9*B*a*e - 10*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^5 + 9*B*a*e^5 - 10*B*b*d*e^4)))*(A*b*e + 9*B*a*e - 10*B*b*d))/(128*b^(11/2)*(a*e - b*d)^(3/2)) - ((79*(d + e*x)^(7/2)*(A*b*e^5 + 9*B*a*e^5 - 10*B*b*d*e^4))/(192*b^2) + (7*(d + e*x)^(1/2)*(A*b*e^5 + 9*B*a*e^5 - 10*B*b*d*e^4)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/(128*b^5) + (7*(a*e - b*d)*(d + e*x)^(5/2)*(A*b*e^5 + 9*B*a*e^5 - 10*B*b*d*e^4))/(15*b^3) - ((d + e*x)^(9/2)*(7*A*b*e^5 - 193*B*a*e^5 + 186*B*b*d*e^4))/(128*b*(a*e - b*d)) + (49*(d + e*x)^(3/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)*(A*b*e^5 + 9*B*a*e^5 - 10*B*b*d*e^4))/(192*b^4))/((d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) - (d + e*x)^2*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + b^5*(d + e*x)^5 - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^4 + a^5*e^5 - b^5*d^5 + (d + e*x)^3*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e) - 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"
1828,1,572,313,0.345717,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(3\,A\,b\,e+7\,B\,a\,e-10\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(3\,A\,b\,e^5+7\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}\right)\,\left(3\,A\,b\,e+7\,B\,a\,e-10\,B\,b\,d\right)}{128\,b^{9/2}\,{\left(a\,e-b\,d\right)}^{5/2}}-\frac{\frac{{\left(d+e\,x\right)}^{5/2}\,\left(3\,A\,b\,e^5+7\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{15\,b^2}-\frac{{\left(d+e\,x\right)}^{9/2}\,\left(3\,A\,b\,e^5+7\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^2}+\frac{7\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}\,\left(3\,A\,b\,e^5+7\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{192\,b^3}-\frac{{\left(d+e\,x\right)}^{7/2}\,\left(21\,A\,b\,e^5-79\,B\,a\,e^5+58\,B\,b\,d\,e^4\right)}{192\,b\,\left(a\,e-b\,d\right)}+\frac{\sqrt{d+e\,x}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)\,\left(3\,A\,b\,e^5+7\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{128\,b^4}}{\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+b^5\,{\left(d+e\,x\right)}^5-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^4+a^5\,e^5-b^5\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)-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}","Not used",1,"(e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(3*A*b*e + 7*B*a*e - 10*B*b*d))/((a*e - b*d)^(1/2)*(3*A*b*e^5 + 7*B*a*e^5 - 10*B*b*d*e^4)))*(3*A*b*e + 7*B*a*e - 10*B*b*d))/(128*b^(9/2)*(a*e - b*d)^(5/2)) - (((d + e*x)^(5/2)*(3*A*b*e^5 + 7*B*a*e^5 - 10*B*b*d*e^4))/(15*b^2) - ((d + e*x)^(9/2)*(3*A*b*e^5 + 7*B*a*e^5 - 10*B*b*d*e^4))/(128*(a*e - b*d)^2) + (7*(a*e - b*d)*(d + e*x)^(3/2)*(3*A*b*e^5 + 7*B*a*e^5 - 10*B*b*d*e^4))/(192*b^3) - ((d + e*x)^(7/2)*(21*A*b*e^5 - 79*B*a*e^5 + 58*B*b*d*e^4))/(192*b*(a*e - b*d)) + ((d + e*x)^(1/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)*(3*A*b*e^5 + 7*B*a*e^5 - 10*B*b*d*e^4))/(128*b^4))/((d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) - (d + e*x)^2*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + b^5*(d + e*x)^5 - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^4 + a^5*e^5 - b^5*d^5 + (d + e*x)^3*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e) - 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"
1829,1,535,313,2.232140,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{7\,{\left(d+e\,x\right)}^{7/2}\,\left(A\,b\,e^5+B\,a\,e^5-2\,B\,b\,d\,e^4\right)}{64\,{\left(a\,e-b\,d\right)}^2}-\frac{7\,{\left(d+e\,x\right)}^{3/2}\,\left(A\,b\,e^5+B\,a\,e^5-2\,B\,b\,d\,e^4\right)}{64\,b^2}-\frac{3\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}\,\left(A\,b\,e^5+B\,a\,e^5-2\,B\,b\,d\,e^4\right)}{128\,b^3}+\frac{3\,b\,{\left(d+e\,x\right)}^{9/2}\,\left(A\,b\,e^5+B\,a\,e^5-2\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^3}+\frac{\left(A\,b\,e^5-B\,a\,e^5\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+b^5\,{\left(d+e\,x\right)}^5-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^4+a^5\,e^5-b^5\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)-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}+\frac{3\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(A\,b\,e^5+B\,a\,e^5-2\,B\,b\,d\,e^4\right)}\right)\,\left(A\,b\,e+B\,a\,e-2\,B\,b\,d\right)}{128\,b^{7/2}\,{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"((7*(d + e*x)^(7/2)*(A*b*e^5 + B*a*e^5 - 2*B*b*d*e^4))/(64*(a*e - b*d)^2) - (7*(d + e*x)^(3/2)*(A*b*e^5 + B*a*e^5 - 2*B*b*d*e^4))/(64*b^2) - (3*(a*e - b*d)*(d + e*x)^(1/2)*(A*b*e^5 + B*a*e^5 - 2*B*b*d*e^4))/(128*b^3) + (3*b*(d + e*x)^(9/2)*(A*b*e^5 + B*a*e^5 - 2*B*b*d*e^4))/(128*(a*e - b*d)^3) + ((A*b*e^5 - B*a*e^5)*(d + e*x)^(5/2))/(5*b*(a*e - b*d)))/((d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) - (d + e*x)^2*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + b^5*(d + e*x)^5 - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^4 + a^5*e^5 - b^5*d^5 + (d + e*x)^3*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e) - 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) + (3*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(A*b*e + B*a*e - 2*B*b*d))/((a*e - b*d)^(1/2)*(A*b*e^5 + B*a*e^5 - 2*B*b*d*e^4)))*(A*b*e + B*a*e - 2*B*b*d))/(128*b^(7/2)*(a*e - b*d)^(7/2))","B"
1830,1,564,313,2.242834,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{7\,{\left(d+e\,x\right)}^{7/2}\,\left(7\,A\,b^2\,e^5-10\,B\,d\,b^2\,e^4+3\,B\,a\,b\,e^5\right)}{192\,{\left(a\,e-b\,d\right)}^3}-\frac{\sqrt{d+e\,x}\,\left(7\,A\,b\,e^5+3\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{128\,b^2}+\frac{{\left(d+e\,x\right)}^{5/2}\,\left(7\,A\,b\,e^5+3\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{15\,{\left(a\,e-b\,d\right)}^2}+\frac{b^2\,{\left(d+e\,x\right)}^{9/2}\,\left(7\,A\,b\,e^5+3\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^4}-\frac{{\left(d+e\,x\right)}^{3/2}\,\left(21\,B\,a\,e^5-79\,A\,b\,e^5+58\,B\,b\,d\,e^4\right)}{192\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+b^5\,{\left(d+e\,x\right)}^5-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^4+a^5\,e^5-b^5\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)-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}+\frac{e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(7\,A\,b\,e+3\,B\,a\,e-10\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(7\,A\,b\,e^5+3\,B\,a\,e^5-10\,B\,b\,d\,e^4\right)}\right)\,\left(7\,A\,b\,e+3\,B\,a\,e-10\,B\,b\,d\right)}{128\,b^{5/2}\,{\left(a\,e-b\,d\right)}^{9/2}}","Not used",1,"((7*(d + e*x)^(7/2)*(7*A*b^2*e^5 + 3*B*a*b*e^5 - 10*B*b^2*d*e^4))/(192*(a*e - b*d)^3) - ((d + e*x)^(1/2)*(7*A*b*e^5 + 3*B*a*e^5 - 10*B*b*d*e^4))/(128*b^2) + ((d + e*x)^(5/2)*(7*A*b*e^5 + 3*B*a*e^5 - 10*B*b*d*e^4))/(15*(a*e - b*d)^2) + (b^2*(d + e*x)^(9/2)*(7*A*b*e^5 + 3*B*a*e^5 - 10*B*b*d*e^4))/(128*(a*e - b*d)^4) - ((d + e*x)^(3/2)*(21*B*a*e^5 - 79*A*b*e^5 + 58*B*b*d*e^4))/(192*b*(a*e - b*d)))/((d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) - (d + e*x)^2*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + b^5*(d + e*x)^5 - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^4 + a^5*e^5 - b^5*d^5 + (d + e*x)^3*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e) - 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) + (e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(7*A*b*e + 3*B*a*e - 10*B*b*d))/((a*e - b*d)^(1/2)*(7*A*b*e^5 + 3*B*a*e^5 - 10*B*b*d*e^4)))*(7*A*b*e + 3*B*a*e - 10*B*b*d))/(128*b^(5/2)*(a*e - b*d)^(9/2))","B"
1831,1,567,313,2.294428,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{49\,{\left(d+e\,x\right)}^{7/2}\,\left(9\,A\,b^3\,e^5-10\,B\,d\,b^3\,e^4+B\,a\,b^2\,e^5\right)}{192\,{\left(a\,e-b\,d\right)}^4}+\frac{79\,{\left(d+e\,x\right)}^{3/2}\,\left(9\,A\,b\,e^5+B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{192\,{\left(a\,e-b\,d\right)}^2}+\frac{7\,b\,{\left(d+e\,x\right)}^{5/2}\,\left(9\,A\,b\,e^5+B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{15\,{\left(a\,e-b\,d\right)}^3}+\frac{7\,b^3\,{\left(d+e\,x\right)}^{9/2}\,\left(9\,A\,b\,e^5+B\,a\,e^5-10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^5}-\frac{\sqrt{d+e\,x}\,\left(7\,B\,a\,e^5-193\,A\,b\,e^5+186\,B\,b\,d\,e^4\right)}{128\,b\,\left(a\,e-b\,d\right)}}{\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)-{\left(d+e\,x\right)}^2\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+b^5\,{\left(d+e\,x\right)}^5-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^4+a^5\,e^5-b^5\,d^5+{\left(d+e\,x\right)}^3\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)-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}+\frac{7\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(9\,A\,b\,e+B\,a\,e-10\,B\,b\,d\right)}{\sqrt{a\,e-b\,d}\,\left(9\,A\,b\,e^5+B\,a\,e^5-10\,B\,b\,d\,e^4\right)}\right)\,\left(9\,A\,b\,e+B\,a\,e-10\,B\,b\,d\right)}{128\,b^{3/2}\,{\left(a\,e-b\,d\right)}^{11/2}}","Not used",1,"((49*(d + e*x)^(7/2)*(9*A*b^3*e^5 + B*a*b^2*e^5 - 10*B*b^3*d*e^4))/(192*(a*e - b*d)^4) + (79*(d + e*x)^(3/2)*(9*A*b*e^5 + B*a*e^5 - 10*B*b*d*e^4))/(192*(a*e - b*d)^2) + (7*b*(d + e*x)^(5/2)*(9*A*b*e^5 + B*a*e^5 - 10*B*b*d*e^4))/(15*(a*e - b*d)^3) + (7*b^3*(d + e*x)^(9/2)*(9*A*b*e^5 + B*a*e^5 - 10*B*b*d*e^4))/(128*(a*e - b*d)^5) - ((d + e*x)^(1/2)*(7*B*a*e^5 - 193*A*b*e^5 + 186*B*b*d*e^4))/(128*b*(a*e - b*d)))/((d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) - (d + e*x)^2*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + b^5*(d + e*x)^5 - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^4 + a^5*e^5 - b^5*d^5 + (d + e*x)^3*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e) - 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) + (7*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(9*A*b*e + B*a*e - 10*B*b*d))/((a*e - b*d)^(1/2)*(9*A*b*e^5 + B*a*e^5 - 10*B*b*d*e^4)))*(9*A*b*e + B*a*e - 10*B*b*d))/(128*b^(3/2)*(a*e - b*d)^(11/2))","B"
1832,1,683,352,2.839757,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{237\,{\left(d+e\,x\right)}^2\,\left(-11\,A\,b^2\,e^5+10\,B\,d\,b^2\,e^4+B\,a\,b\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,\left(A\,e^5-B\,d\,e^4\right)}{a\,e-b\,d}+\frac{147\,{\left(d+e\,x\right)}^4\,\left(-11\,A\,b^4\,e^5+10\,B\,d\,b^4\,e^4+B\,a\,b^3\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^5}+\frac{193\,\left(d+e\,x\right)\,\left(B\,a\,e^5-11\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^2}+\frac{21\,b^2\,{\left(d+e\,x\right)}^3\,\left(B\,a\,e^5-11\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{5\,{\left(a\,e-b\,d\right)}^4}+\frac{63\,b^4\,{\left(d+e\,x\right)}^5\,\left(B\,a\,e^5-11\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^6}}{\sqrt{d+e\,x}\,\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(d+e\,x\right)}^{5/2}\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+{\left(d+e\,x\right)}^{3/2}\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)+b^5\,{\left(d+e\,x\right)}^{11/2}-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{9/2}+{\left(d+e\,x\right)}^{7/2}\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)}+\frac{63\,e^4\,\mathrm{atan}\left(\frac{63\,\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(B\,a\,e-11\,A\,b\,e+10\,B\,b\,d\right)\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}{{\left(a\,e-b\,d\right)}^{13/2}\,\left(63\,B\,a\,e^5-693\,A\,b\,e^5+630\,B\,b\,d\,e^4\right)}\right)\,\left(B\,a\,e-11\,A\,b\,e+10\,B\,b\,d\right)}{128\,\sqrt{b}\,{\left(a\,e-b\,d\right)}^{13/2}}","Not used",1,"((237*(d + e*x)^2*(B*a*b*e^5 - 11*A*b^2*e^5 + 10*B*b^2*d*e^4))/(64*(a*e - b*d)^3) - (2*(A*e^5 - B*d*e^4))/(a*e - b*d) + (147*(d + e*x)^4*(B*a*b^3*e^5 - 11*A*b^4*e^5 + 10*B*b^4*d*e^4))/(64*(a*e - b*d)^5) + (193*(d + e*x)*(B*a*e^5 - 11*A*b*e^5 + 10*B*b*d*e^4))/(128*(a*e - b*d)^2) + (21*b^2*(d + e*x)^3*(B*a*e^5 - 11*A*b*e^5 + 10*B*b*d*e^4))/(5*(a*e - b*d)^4) + (63*b^4*(d + e*x)^5*(B*a*e^5 - 11*A*b*e^5 + 10*B*b*d*e^4))/(128*(a*e - b*d)^6))/((d + e*x)^(1/2)*(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) - (d + e*x)^(5/2)*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + (d + e*x)^(3/2)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) + b^5*(d + e*x)^(11/2) - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^(9/2) + (d + e*x)^(7/2)*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e)) + (63*e^4*atan((63*b^(1/2)*e^4*(d + e*x)^(1/2)*(B*a*e - 11*A*b*e + 10*B*b*d)*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5))/((a*e - b*d)^(13/2)*(63*B*a*e^5 - 693*A*b*e^5 + 630*B*b*d*e^4)))*(B*a*e - 11*A*b*e + 10*B*b*d))/(128*b^(1/2)*(a*e - b*d)^(13/2))","B"
1833,1,755,400,3.149764,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","-\frac{\frac{2\,\left(A\,e^5-B\,d\,e^4\right)}{3\,\left(a\,e-b\,d\right)}+\frac{2123\,{\left(d+e\,x\right)}^2\,\left(-13\,A\,b^2\,e^5+10\,B\,d\,b^2\,e^4+3\,B\,a\,b\,e^5\right)}{384\,{\left(a\,e-b\,d\right)}^3}+\frac{869\,{\left(d+e\,x\right)}^3\,\left(-13\,A\,b^3\,e^5+10\,B\,d\,b^3\,e^4+3\,B\,a\,b^2\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^4}+\frac{539\,{\left(d+e\,x\right)}^5\,\left(-13\,A\,b^5\,e^5+10\,B\,d\,b^5\,e^4+3\,B\,a\,b^4\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^6}+\frac{2\,\left(d+e\,x\right)\,\left(3\,B\,a\,e^5-13\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{77\,b^3\,{\left(d+e\,x\right)}^4\,\left(3\,B\,a\,e^5-13\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{5\,{\left(a\,e-b\,d\right)}^5}+\frac{231\,b^5\,{\left(d+e\,x\right)}^6\,\left(3\,B\,a\,e^5-13\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^7}}{{\left(d+e\,x\right)}^{3/2}\,\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)-{\left(d+e\,x\right)}^{7/2}\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+{\left(d+e\,x\right)}^{5/2}\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)+b^5\,{\left(d+e\,x\right)}^{13/2}-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{11/2}+{\left(d+e\,x\right)}^{9/2}\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)}-\frac{231\,\sqrt{b}\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(3\,B\,a\,e-13\,A\,b\,e+10\,B\,b\,d\right)\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}{{\left(a\,e-b\,d\right)}^{15/2}\,\left(3\,B\,a\,e^5-13\,A\,b\,e^5+10\,B\,b\,d\,e^4\right)}\right)\,\left(3\,B\,a\,e-13\,A\,b\,e+10\,B\,b\,d\right)}{128\,{\left(a\,e-b\,d\right)}^{15/2}}","Not used",1,"- ((2*(A*e^5 - B*d*e^4))/(3*(a*e - b*d)) + (2123*(d + e*x)^2*(3*B*a*b*e^5 - 13*A*b^2*e^5 + 10*B*b^2*d*e^4))/(384*(a*e - b*d)^3) + (869*(d + e*x)^3*(3*B*a*b^2*e^5 - 13*A*b^3*e^5 + 10*B*b^3*d*e^4))/(64*(a*e - b*d)^4) + (539*(d + e*x)^5*(3*B*a*b^4*e^5 - 13*A*b^5*e^5 + 10*B*b^5*d*e^4))/(64*(a*e - b*d)^6) + (2*(d + e*x)*(3*B*a*e^5 - 13*A*b*e^5 + 10*B*b*d*e^4))/(3*(a*e - b*d)^2) + (77*b^3*(d + e*x)^4*(3*B*a*e^5 - 13*A*b*e^5 + 10*B*b*d*e^4))/(5*(a*e - b*d)^5) + (231*b^5*(d + e*x)^6*(3*B*a*e^5 - 13*A*b*e^5 + 10*B*b*d*e^4))/(128*(a*e - b*d)^7))/((d + e*x)^(3/2)*(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) - (d + e*x)^(7/2)*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + (d + e*x)^(5/2)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) + b^5*(d + e*x)^(13/2) - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^(11/2) + (d + e*x)^(9/2)*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e)) - (231*b^(1/2)*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(3*B*a*e - 13*A*b*e + 10*B*b*d)*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6))/((a*e - b*d)^(15/2)*(3*B*a*e^5 - 13*A*b*e^5 + 10*B*b*d*e^4)))*(3*B*a*e - 13*A*b*e + 10*B*b*d))/(128*(a*e - b*d)^(15/2))","B"
1834,1,802,435,3.499745,"\text{Not used}","int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{27599\,{\left(d+e\,x\right)}^3\,\left(-3\,A\,b^3\,e^5+2\,B\,d\,b^3\,e^4+B\,a\,b^2\,e^5\right)}{384\,{\left(a\,e-b\,d\right)}^4}-\frac{2\,\left(A\,e^5-B\,d\,e^4\right)}{5\,\left(a\,e-b\,d\right)}+\frac{11297\,{\left(d+e\,x\right)}^4\,\left(-3\,A\,b^4\,e^5+2\,B\,d\,b^4\,e^4+B\,a\,b^3\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^5}+\frac{7007\,{\left(d+e\,x\right)}^6\,\left(-3\,A\,b^6\,e^5+2\,B\,d\,b^6\,e^4+B\,a\,b^5\,e^5\right)}{64\,{\left(a\,e-b\,d\right)}^7}-\frac{2\,\left(d+e\,x\right)\,\left(B\,a\,e^5-3\,A\,b\,e^5+2\,B\,b\,d\,e^4\right)}{3\,{\left(a\,e-b\,d\right)}^2}+\frac{26\,b\,{\left(d+e\,x\right)}^2\,\left(B\,a\,e^5-3\,A\,b\,e^5+2\,B\,b\,d\,e^4\right)}{3\,{\left(a\,e-b\,d\right)}^3}+\frac{1001\,b^4\,{\left(d+e\,x\right)}^5\,\left(B\,a\,e^5-3\,A\,b\,e^5+2\,B\,b\,d\,e^4\right)}{5\,{\left(a\,e-b\,d\right)}^6}+\frac{3003\,b^6\,{\left(d+e\,x\right)}^7\,\left(B\,a\,e^5-3\,A\,b\,e^5+2\,B\,b\,d\,e^4\right)}{128\,{\left(a\,e-b\,d\right)}^8}}{{\left(d+e\,x\right)}^{5/2}\,\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)-{\left(d+e\,x\right)}^{9/2}\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)+{\left(d+e\,x\right)}^{7/2}\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)+b^5\,{\left(d+e\,x\right)}^{15/2}-\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{13/2}+{\left(d+e\,x\right)}^{11/2}\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)}+\frac{3003\,b^{3/2}\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{d+e\,x}\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)\,\left(a^8\,e^8-8\,a^7\,b\,d\,e^7+28\,a^6\,b^2\,d^2\,e^6-56\,a^5\,b^3\,d^3\,e^5+70\,a^4\,b^4\,d^4\,e^4-56\,a^3\,b^5\,d^5\,e^3+28\,a^2\,b^6\,d^6\,e^2-8\,a\,b^7\,d^7\,e+b^8\,d^8\right)}{{\left(a\,e-b\,d\right)}^{17/2}\,\left(B\,a\,e^5-3\,A\,b\,e^5+2\,B\,b\,d\,e^4\right)}\right)\,\left(B\,a\,e-3\,A\,b\,e+2\,B\,b\,d\right)}{128\,{\left(a\,e-b\,d\right)}^{17/2}}","Not used",1,"((27599*(d + e*x)^3*(B*a*b^2*e^5 - 3*A*b^3*e^5 + 2*B*b^3*d*e^4))/(384*(a*e - b*d)^4) - (2*(A*e^5 - B*d*e^4))/(5*(a*e - b*d)) + (11297*(d + e*x)^4*(B*a*b^3*e^5 - 3*A*b^4*e^5 + 2*B*b^4*d*e^4))/(64*(a*e - b*d)^5) + (7007*(d + e*x)^6*(B*a*b^5*e^5 - 3*A*b^6*e^5 + 2*B*b^6*d*e^4))/(64*(a*e - b*d)^7) - (2*(d + e*x)*(B*a*e^5 - 3*A*b*e^5 + 2*B*b*d*e^4))/(3*(a*e - b*d)^2) + (26*b*(d + e*x)^2*(B*a*e^5 - 3*A*b*e^5 + 2*B*b*d*e^4))/(3*(a*e - b*d)^3) + (1001*b^4*(d + e*x)^5*(B*a*e^5 - 3*A*b*e^5 + 2*B*b*d*e^4))/(5*(a*e - b*d)^6) + (3003*b^6*(d + e*x)^7*(B*a*e^5 - 3*A*b*e^5 + 2*B*b*d*e^4))/(128*(a*e - b*d)^8))/((d + e*x)^(5/2)*(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) - (d + e*x)^(9/2)*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e) + (d + e*x)^(7/2)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e) + b^5*(d + e*x)^(15/2) - (5*b^5*d - 5*a*b^4*e)*(d + e*x)^(13/2) + (d + e*x)^(11/2)*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e)) + (3003*b^(3/2)*e^4*atan((b^(1/2)*e^4*(d + e*x)^(1/2)*(B*a*e - 3*A*b*e + 2*B*b*d)*(a^8*e^8 + b^8*d^8 + 28*a^2*b^6*d^6*e^2 - 56*a^3*b^5*d^5*e^3 + 70*a^4*b^4*d^4*e^4 - 56*a^5*b^3*d^3*e^5 + 28*a^6*b^2*d^2*e^6 - 8*a*b^7*d^7*e - 8*a^7*b*d*e^7))/((a*e - b*d)^(17/2)*(B*a*e^5 - 3*A*b*e^5 + 2*B*b*d*e^4)))*(B*a*e - 3*A*b*e + 2*B*b*d))/(128*(a*e - b*d)^(17/2))","B"
1835,0,-1,164,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(7/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(7/2), x)","F"
1836,0,-1,164,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(5/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(5/2), x)","F"
1837,0,-1,164,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(3/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(3/2), x)","F"
1838,0,-1,164,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(A+B\,x\right)\,\sqrt{d+e\,x} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(A + B*x)*(d + e*x)^(1/2), x)","F"
1839,1,156,162,2.265729,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^(1/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^3}{5}+\frac{16\,B\,b\,d^3+30\,A\,a\,d\,e^2-20\,A\,b\,d^2\,e-20\,B\,a\,d^2\,e}{15\,b\,e^3}+\frac{x\,\left(30\,A\,a\,e^3-10\,A\,b\,d\,e^2-10\,B\,a\,d\,e^2+8\,B\,b\,d^2\,e\right)}{15\,b\,e^3}+\frac{x^2\,\left(10\,A\,b\,e^3+10\,B\,a\,e^3-2\,B\,b\,d\,e^2\right)}{15\,b\,e^3}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((2*B*x^3)/5 + (16*B*b*d^3 + 30*A*a*d*e^2 - 20*A*b*d^2*e - 20*B*a*d^2*e)/(15*b*e^3) + (x*(30*A*a*e^3 - 10*A*b*d*e^2 - 10*B*a*d*e^2 + 8*B*b*d^2*e))/(15*b*e^3) + (x^2*(10*A*b*e^3 + 10*B*a*e^3 - 2*B*b*d*e^2))/(15*b*e^3)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1840,1,109,160,2.411766,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^(3/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^2}{3\,e}-\frac{6\,A\,a\,e^2+16\,B\,b\,d^2-12\,A\,b\,d\,e-12\,B\,a\,d\,e}{3\,b\,e^3}+\frac{x\,\left(6\,A\,b\,e^2+6\,B\,a\,e^2-8\,B\,b\,d\,e\right)}{3\,b\,e^3}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((2*B*x^2)/(3*e) - (6*A*a*e^2 + 16*B*b*d^2 - 12*A*b*d*e - 12*B*a*d*e)/(3*b*e^3) + (x*(6*A*b*e^2 + 6*B*a*e^2 - 8*B*b*d*e))/(3*b*e^3)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1841,1,146,160,2.478801,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^(5/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,A\,a\,e^2-16\,B\,b\,d^2+4\,A\,b\,d\,e+4\,B\,a\,d\,e}{3\,b\,e^4}-\frac{2\,B\,x^2}{e^2}+\frac{x\,\left(6\,A\,b\,e^2+6\,B\,a\,e^2-24\,B\,b\,d\,e\right)}{3\,b\,e^4}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(3\,a\,e^4+3\,b\,d\,e^3\right)\,\sqrt{d+e\,x}}{3\,b\,e^4}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((2*A*a*e^2 - 16*B*b*d^2 + 4*A*b*d*e + 4*B*a*d*e)/(3*b*e^4) - (2*B*x^2)/e^2 + (x*(6*A*b*e^2 + 6*B*a*e^2 - 24*B*b*d*e))/(3*b*e^4)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(3*a*e^4 + 3*b*d*e^3)*(d + e*x)^(1/2))/(3*b*e^4))","B"
1842,1,174,162,2.524748,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(A + B*x))/(d + e*x)^(7/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,B\,x^2}{e^3}+\frac{6\,A\,a\,e^2+16\,B\,b\,d^2+4\,A\,b\,d\,e+4\,B\,a\,d\,e}{15\,b\,e^5}+\frac{x\,\left(10\,A\,b\,e^2+10\,B\,a\,e^2+40\,B\,b\,d\,e\right)}{15\,b\,e^5}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(15\,a\,e^5+30\,b\,d\,e^4\right)\,\sqrt{d+e\,x}}{15\,b\,e^5}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((2*B*x^2)/e^3 + (6*A*a*e^2 + 16*B*b*d^2 + 4*A*b*d*e + 4*B*a*d*e)/(15*b*e^5) + (x*(10*A*b*e^2 + 10*B*a*e^2 + 40*B*b*d*e))/(15*b*e^5)))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(15*a*e^5 + 30*b*d*e^4)*(d + e*x)^(1/2))/(15*b*e^5) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
1843,0,-1,308,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1844,0,-1,308,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1845,0,-1,308,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1846,0,-1,308,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1847,1,434,306,2.744815,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{-420\,B\,a^3\,d^2\,e^3+630\,A\,a^3\,d\,e^4+1008\,B\,a^2\,b\,d^3\,e^2-1260\,A\,a^2\,b\,d^2\,e^3-864\,B\,a\,b^2\,d^4\,e+1008\,A\,a\,b^2\,d^3\,e^2+256\,B\,b^3\,d^5-288\,A\,b^3\,d^4\,e}{315\,b\,e^5}+\frac{2\,B\,b^2\,x^5}{9}+\frac{x^3\,\left(378\,B\,a^2\,b\,e^5-54\,B\,a\,b^2\,d\,e^4+378\,A\,a\,b^2\,e^5+16\,B\,b^3\,d^2\,e^3-18\,A\,b^3\,d\,e^4\right)}{315\,b\,e^5}+\frac{x\,\left(-210\,B\,a^3\,d\,e^4+630\,A\,a^3\,e^5+504\,B\,a^2\,b\,d^2\,e^3-630\,A\,a^2\,b\,d\,e^4-432\,B\,a\,b^2\,d^3\,e^2+504\,A\,a\,b^2\,d^2\,e^3+128\,B\,b^3\,d^4\,e-144\,A\,b^3\,d^3\,e^2\right)}{315\,b\,e^5}+\frac{x^2\,\left(210\,B\,a^3\,e^5-126\,B\,a^2\,b\,d\,e^4+630\,A\,a^2\,b\,e^5+108\,B\,a\,b^2\,d^2\,e^3-126\,A\,a\,b^2\,d\,e^4-32\,B\,b^3\,d^3\,e^2+36\,A\,b^3\,d^2\,e^3\right)}{315\,b\,e^5}+\frac{2\,b\,x^4\,\left(9\,A\,b\,e+27\,B\,a\,e-B\,b\,d\right)}{63\,e}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((256*B*b^3*d^5 + 630*A*a^3*d*e^4 - 288*A*b^3*d^4*e - 420*B*a^3*d^2*e^3 + 1008*A*a*b^2*d^3*e^2 - 1260*A*a^2*b*d^2*e^3 + 1008*B*a^2*b*d^3*e^2 - 864*B*a*b^2*d^4*e)/(315*b*e^5) + (2*B*b^2*x^5)/9 + (x^3*(378*A*a*b^2*e^5 + 378*B*a^2*b*e^5 - 18*A*b^3*d*e^4 + 16*B*b^3*d^2*e^3 - 54*B*a*b^2*d*e^4))/(315*b*e^5) + (x*(630*A*a^3*e^5 - 210*B*a^3*d*e^4 + 128*B*b^3*d^4*e - 144*A*b^3*d^3*e^2 + 504*A*a*b^2*d^2*e^3 - 432*B*a*b^2*d^3*e^2 + 504*B*a^2*b*d^2*e^3 - 630*A*a^2*b*d*e^4))/(315*b*e^5) + (x^2*(210*B*a^3*e^5 + 630*A*a^2*b*e^5 + 36*A*b^3*d^2*e^3 - 32*B*b^3*d^3*e^2 + 108*B*a*b^2*d^2*e^3 - 126*A*a*b^2*d*e^4 - 126*B*a^2*b*d*e^4))/(315*b*e^5) + (2*b*x^4*(9*A*b*e + 27*B*a*e - B*b*d))/(63*e)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1848,1,327,302,2.969368,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x\,\left(70\,B\,a^3\,e^4-280\,B\,a^2\,b\,d\,e^3+210\,A\,a^2\,b\,e^4+336\,B\,a\,b^2\,d^2\,e^2-280\,A\,a\,b^2\,d\,e^3-128\,B\,b^3\,d^3\,e+112\,A\,b^3\,d^2\,e^2\right)}{35\,b\,e^5}-\frac{-140\,B\,a^3\,d\,e^3+70\,A\,a^3\,e^4+560\,B\,a^2\,b\,d^2\,e^2-420\,A\,a^2\,b\,d\,e^3-672\,B\,a\,b^2\,d^3\,e+560\,A\,a\,b^2\,d^2\,e^2+256\,B\,b^3\,d^4-224\,A\,b^3\,d^3\,e}{35\,b\,e^5}+\frac{x^2\,\left(70\,B\,a^2\,b\,e^4-84\,B\,a\,b^2\,d\,e^3+70\,A\,a\,b^2\,e^4+32\,B\,b^3\,d^2\,e^2-28\,A\,b^3\,d\,e^3\right)}{35\,b\,e^5}+\frac{2\,b\,x^3\,\left(7\,A\,b\,e+21\,B\,a\,e-8\,B\,b\,d\right)}{35\,e^2}+\frac{2\,B\,b^2\,x^4}{7\,e}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x*(70*B*a^3*e^4 + 210*A*a^2*b*e^4 - 128*B*b^3*d^3*e + 112*A*b^3*d^2*e^2 + 336*B*a*b^2*d^2*e^2 - 280*A*a*b^2*d*e^3 - 280*B*a^2*b*d*e^3))/(35*b*e^5) - (70*A*a^3*e^4 + 256*B*b^3*d^4 - 224*A*b^3*d^3*e - 140*B*a^3*d*e^3 + 560*A*a*b^2*d^2*e^2 + 560*B*a^2*b*d^2*e^2 - 420*A*a^2*b*d*e^3 - 672*B*a*b^2*d^3*e)/(35*b*e^5) + (x^2*(70*A*a*b^2*e^4 + 70*B*a^2*b*e^4 - 28*A*b^3*d*e^3 + 32*B*b^3*d^2*e^2 - 84*B*a*b^2*d*e^3))/(35*b*e^5) + (2*b*x^3*(7*A*b*e + 21*B*a*e - 8*B*b*d))/(35*e^2) + (2*B*b^2*x^4)/(7*e)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1849,1,362,304,3.093156,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(5/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x^2\,\left(6\,B\,a^2\,b\,e^4-12\,B\,a\,b^2\,d\,e^3+6\,A\,a\,b^2\,e^4+\frac{32\,B\,b^3\,d^2\,e^2}{5}-4\,A\,b^3\,d\,e^3\right)}{b\,e^6}-\frac{x\,\left(30\,B\,a^3\,e^4-360\,B\,a^2\,b\,d\,e^3+90\,A\,a^2\,b\,e^4+720\,B\,a\,b^2\,d^2\,e^2-360\,A\,a\,b^2\,d\,e^3-384\,B\,b^3\,d^3\,e+240\,A\,b^3\,d^2\,e^2\right)}{15\,b\,e^6}-\frac{\frac{4\,B\,a^3\,d\,e^3}{3}+\frac{2\,A\,a^3\,e^4}{3}-16\,B\,a^2\,b\,d^2\,e^2+4\,A\,a^2\,b\,d\,e^3+32\,B\,a\,b^2\,d^3\,e-16\,A\,a\,b^2\,d^2\,e^2-\frac{256\,B\,b^3\,d^4}{15}+\frac{32\,A\,b^3\,d^3\,e}{3}}{b\,e^6}+\frac{2\,b\,x^3\,\left(5\,A\,b\,e+15\,B\,a\,e-8\,B\,b\,d\right)}{15\,e^3}+\frac{2\,B\,b^2\,x^4}{5\,e^2}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(15\,a\,e^6+15\,b\,d\,e^5\right)\,\sqrt{d+e\,x}}{15\,b\,e^6}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x^2*(6*A*a*b^2*e^4 + 6*B*a^2*b*e^4 - 4*A*b^3*d*e^3 + (32*B*b^3*d^2*e^2)/5 - 12*B*a*b^2*d*e^3))/(b*e^6) - (x*(30*B*a^3*e^4 + 90*A*a^2*b*e^4 - 384*B*b^3*d^3*e + 240*A*b^3*d^2*e^2 + 720*B*a*b^2*d^2*e^2 - 360*A*a*b^2*d*e^3 - 360*B*a^2*b*d*e^3))/(15*b*e^6) - ((2*A*a^3*e^4)/3 - (256*B*b^3*d^4)/15 + (32*A*b^3*d^3*e)/3 + (4*B*a^3*d*e^3)/3 - 16*A*a*b^2*d^2*e^2 - 16*B*a^2*b*d^2*e^2 + 4*A*a^2*b*d*e^3 + 32*B*a*b^2*d^3*e)/(b*e^6) + (2*b*x^3*(5*A*b*e + 15*B*a*e - 8*B*b*d))/(15*e^3) + (2*B*b^2*x^4)/(5*e^2)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(15*a*e^6 + 15*b*d*e^5)*(d + e*x)^(1/2))/(15*b*e^6))","B"
1850,1,377,304,3.079485,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(7/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{4\,B\,a^3\,d\,e^3+6\,A\,a^3\,e^4+48\,B\,a^2\,b\,d^2\,e^2+12\,A\,a^2\,b\,d\,e^3-288\,B\,a\,b^2\,d^3\,e+48\,A\,a\,b^2\,d^2\,e^2+256\,B\,b^3\,d^4-96\,A\,b^3\,d^3\,e}{15\,b\,e^7}+\frac{2\,x^2\,\left(3\,B\,a^2\,e^2-18\,B\,a\,b\,d\,e+3\,A\,a\,b\,e^2+16\,B\,b^2\,d^2-6\,A\,b^2\,d\,e\right)}{e^5}+\frac{x\,\left(10\,B\,a^3\,e^4+120\,B\,a^2\,b\,d\,e^3+30\,A\,a^2\,b\,e^4-720\,B\,a\,b^2\,d^2\,e^2+120\,A\,a\,b^2\,d\,e^3+640\,B\,b^3\,d^3\,e-240\,A\,b^3\,d^2\,e^2\right)}{15\,b\,e^7}-\frac{2\,b\,x^3\,\left(3\,A\,b\,e+9\,B\,a\,e-8\,B\,b\,d\right)}{3\,e^4}-\frac{2\,B\,b^2\,x^4}{3\,e^3}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(15\,a\,e^7+30\,b\,d\,e^6\right)\,\sqrt{d+e\,x}}{15\,b\,e^7}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((6*A*a^3*e^4 + 256*B*b^3*d^4 - 96*A*b^3*d^3*e + 4*B*a^3*d*e^3 + 48*A*a*b^2*d^2*e^2 + 48*B*a^2*b*d^2*e^2 + 12*A*a^2*b*d*e^3 - 288*B*a*b^2*d^3*e)/(15*b*e^7) + (2*x^2*(3*B*a^2*e^2 + 16*B*b^2*d^2 + 3*A*a*b*e^2 - 6*A*b^2*d*e - 18*B*a*b*d*e))/e^5 + (x*(10*B*a^3*e^4 + 30*A*a^2*b*e^4 + 640*B*b^3*d^3*e - 240*A*b^3*d^2*e^2 - 720*B*a*b^2*d^2*e^2 + 120*A*a*b^2*d*e^3 + 120*B*a^2*b*d*e^3))/(15*b*e^7) - (2*b*x^3*(3*A*b*e + 9*B*a*e - 8*B*b*d))/(3*e^4) - (2*B*b^2*x^4)/(3*e^3)))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(15*a*e^7 + 30*b*d*e^6)*(d + e*x)^(1/2))/(15*b*e^7) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
1851,0,-1,452,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1852,0,-1,452,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1853,0,-1,452,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1854,0,-1,452,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1855,1,826,448,3.259695,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,B\,b^4\,x^7}{13}+\frac{-12012\,B\,a^5\,d^2\,e^5+18018\,A\,a^5\,d\,e^6+48048\,B\,a^4\,b\,d^3\,e^4-60060\,A\,a^4\,b\,d^2\,e^5-82368\,B\,a^3\,b^2\,d^4\,e^3+96096\,A\,a^3\,b^2\,d^3\,e^4+73216\,B\,a^2\,b^3\,d^5\,e^2-82368\,A\,a^2\,b^3\,d^4\,e^3-33280\,B\,a\,b^4\,d^6\,e+36608\,A\,a\,b^4\,d^5\,e^2+6144\,B\,b^5\,d^7-6656\,A\,b^5\,d^6\,e}{9009\,b\,e^7}+\frac{x^3\,\left(18018\,B\,a^4\,b\,e^7-5148\,B\,a^3\,b^2\,d\,e^6+36036\,A\,a^3\,b^2\,e^7+4576\,B\,a^2\,b^3\,d^2\,e^5-5148\,A\,a^2\,b^3\,d\,e^6-2080\,B\,a\,b^4\,d^3\,e^4+2288\,A\,a\,b^4\,d^2\,e^5+384\,B\,b^5\,d^4\,e^3-416\,A\,b^5\,d^3\,e^4\right)}{9009\,b\,e^7}+\frac{x^4\,\left(25740\,B\,a^3\,b^2\,e^7-2860\,B\,a^2\,b^3\,d\,e^6+25740\,A\,a^2\,b^3\,e^7+1300\,B\,a\,b^4\,d^2\,e^5-1430\,A\,a\,b^4\,d\,e^6-240\,B\,b^5\,d^3\,e^4+260\,A\,b^5\,d^2\,e^5\right)}{9009\,b\,e^7}+\frac{2\,b^3\,x^6\,\left(13\,A\,b\,e+65\,B\,a\,e-B\,b\,d\right)}{143\,e}+\frac{x\,\left(-6006\,B\,a^5\,d\,e^6+18018\,A\,a^5\,e^7+24024\,B\,a^4\,b\,d^2\,e^5-30030\,A\,a^4\,b\,d\,e^6-41184\,B\,a^3\,b^2\,d^3\,e^4+48048\,A\,a^3\,b^2\,d^2\,e^5+36608\,B\,a^2\,b^3\,d^4\,e^3-41184\,A\,a^2\,b^3\,d^3\,e^4-16640\,B\,a\,b^4\,d^5\,e^2+18304\,A\,a\,b^4\,d^4\,e^3+3072\,B\,b^5\,d^6\,e-3328\,A\,b^5\,d^5\,e^2\right)}{9009\,b\,e^7}+\frac{x^2\,\left(6006\,B\,a^5\,e^7-6006\,B\,a^4\,b\,d\,e^6+30030\,A\,a^4\,b\,e^7+10296\,B\,a^3\,b^2\,d^2\,e^5-12012\,A\,a^3\,b^2\,d\,e^6-9152\,B\,a^2\,b^3\,d^3\,e^4+10296\,A\,a^2\,b^3\,d^2\,e^5+4160\,B\,a\,b^4\,d^4\,e^3-4576\,A\,a\,b^4\,d^3\,e^4-768\,B\,b^5\,d^5\,e^2+832\,A\,b^5\,d^4\,e^3\right)}{9009\,b\,e^7}+\frac{2\,b^2\,x^5\,\left(1430\,B\,a^2\,e^2-65\,B\,a\,b\,d\,e+715\,A\,a\,b\,e^2+12\,B\,b^2\,d^2-13\,A\,b^2\,d\,e\right)}{1287\,e^2}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*B*b^4*x^7)/13 + (6144*B*b^5*d^7 + 18018*A*a^5*d*e^6 - 6656*A*b^5*d^6*e - 12012*B*a^5*d^2*e^5 + 36608*A*a*b^4*d^5*e^2 - 60060*A*a^4*b*d^2*e^5 + 48048*B*a^4*b*d^3*e^4 - 82368*A*a^2*b^3*d^4*e^3 + 96096*A*a^3*b^2*d^3*e^4 + 73216*B*a^2*b^3*d^5*e^2 - 82368*B*a^3*b^2*d^4*e^3 - 33280*B*a*b^4*d^6*e)/(9009*b*e^7) + (x^3*(18018*B*a^4*b*e^7 + 36036*A*a^3*b^2*e^7 - 416*A*b^5*d^3*e^4 + 384*B*b^5*d^4*e^3 + 2288*A*a*b^4*d^2*e^5 - 5148*A*a^2*b^3*d*e^6 - 2080*B*a*b^4*d^3*e^4 - 5148*B*a^3*b^2*d*e^6 + 4576*B*a^2*b^3*d^2*e^5))/(9009*b*e^7) + (x^4*(25740*A*a^2*b^3*e^7 + 25740*B*a^3*b^2*e^7 + 260*A*b^5*d^2*e^5 - 240*B*b^5*d^3*e^4 + 1300*B*a*b^4*d^2*e^5 - 2860*B*a^2*b^3*d*e^6 - 1430*A*a*b^4*d*e^6))/(9009*b*e^7) + (2*b^3*x^6*(13*A*b*e + 65*B*a*e - B*b*d))/(143*e) + (x*(18018*A*a^5*e^7 - 6006*B*a^5*d*e^6 + 3072*B*b^5*d^6*e - 3328*A*b^5*d^5*e^2 + 18304*A*a*b^4*d^4*e^3 - 16640*B*a*b^4*d^5*e^2 + 24024*B*a^4*b*d^2*e^5 - 41184*A*a^2*b^3*d^3*e^4 + 48048*A*a^3*b^2*d^2*e^5 + 36608*B*a^2*b^3*d^4*e^3 - 41184*B*a^3*b^2*d^3*e^4 - 30030*A*a^4*b*d*e^6))/(9009*b*e^7) + (x^2*(6006*B*a^5*e^7 + 30030*A*a^4*b*e^7 + 832*A*b^5*d^4*e^3 - 768*B*b^5*d^5*e^2 - 4576*A*a*b^4*d^3*e^4 - 12012*A*a^3*b^2*d*e^6 + 4160*B*a*b^4*d^4*e^3 + 10296*A*a^2*b^3*d^2*e^5 - 9152*B*a^2*b^3*d^3*e^4 + 10296*B*a^3*b^2*d^2*e^5 - 6006*B*a^4*b*d*e^6))/(9009*b*e^7) + (2*b^2*x^5*(1430*B*a^2*e^2 + 12*B*b^2*d^2 + 715*A*a*b*e^2 - 13*A*b^2*d*e - 65*B*a*b*d*e))/(1287*e^2)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1856,1,659,446,3.737873,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x^2\,\left(2310\,B\,a^4\,b\,e^6-5544\,B\,a^3\,b^2\,d\,e^5+4620\,A\,a^3\,b^2\,e^6+6336\,B\,a^2\,b^3\,d^2\,e^4-5544\,A\,a^2\,b^3\,d\,e^5-3520\,B\,a\,b^4\,d^3\,e^3+3168\,A\,a\,b^4\,d^2\,e^4+768\,B\,b^5\,d^4\,e^2-704\,A\,b^5\,d^3\,e^3\right)}{693\,b\,e^7}-\frac{-2772\,B\,a^5\,d\,e^5+1386\,A\,a^5\,e^6+18480\,B\,a^4\,b\,d^2\,e^4-13860\,A\,a^4\,b\,d\,e^5-44352\,B\,a^3\,b^2\,d^3\,e^3+36960\,A\,a^3\,b^2\,d^2\,e^4+50688\,B\,a^2\,b^3\,d^4\,e^2-44352\,A\,a^2\,b^3\,d^3\,e^3-28160\,B\,a\,b^4\,d^5\,e+25344\,A\,a\,b^4\,d^4\,e^2+6144\,B\,b^5\,d^6-5632\,A\,b^5\,d^5\,e}{693\,b\,e^7}+\frac{x^3\,\left(2772\,B\,a^3\,b^2\,e^6-3168\,B\,a^2\,b^3\,d\,e^5+2772\,A\,a^2\,b^3\,e^6+1760\,B\,a\,b^4\,d^2\,e^4-1584\,A\,a\,b^4\,d\,e^5-384\,B\,b^5\,d^3\,e^3+352\,A\,b^5\,d^2\,e^4\right)}{693\,b\,e^7}+\frac{2\,b^3\,x^5\,\left(11\,A\,b\,e+55\,B\,a\,e-12\,B\,b\,d\right)}{99\,e^2}+\frac{x\,\left(1386\,B\,a^5\,e^6-9240\,B\,a^4\,b\,d\,e^5+6930\,A\,a^4\,b\,e^6+22176\,B\,a^3\,b^2\,d^2\,e^4-18480\,A\,a^3\,b^2\,d\,e^5-25344\,B\,a^2\,b^3\,d^3\,e^3+22176\,A\,a^2\,b^3\,d^2\,e^4+14080\,B\,a\,b^4\,d^4\,e^2-12672\,A\,a\,b^4\,d^3\,e^3-3072\,B\,b^5\,d^5\,e+2816\,A\,b^5\,d^4\,e^2\right)}{693\,b\,e^7}+\frac{10\,b^2\,x^4\,\left(198\,B\,a^2\,e^2-110\,B\,a\,b\,d\,e+99\,A\,a\,b\,e^2+24\,B\,b^2\,d^2-22\,A\,b^2\,d\,e\right)}{693\,e^3}+\frac{2\,B\,b^4\,x^6}{11\,e}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x^2*(2310*B*a^4*b*e^6 + 4620*A*a^3*b^2*e^6 - 704*A*b^5*d^3*e^3 + 768*B*b^5*d^4*e^2 + 3168*A*a*b^4*d^2*e^4 - 5544*A*a^2*b^3*d*e^5 - 3520*B*a*b^4*d^3*e^3 - 5544*B*a^3*b^2*d*e^5 + 6336*B*a^2*b^3*d^2*e^4))/(693*b*e^7) - (1386*A*a^5*e^6 + 6144*B*b^5*d^6 - 5632*A*b^5*d^5*e - 2772*B*a^5*d*e^5 + 25344*A*a*b^4*d^4*e^2 + 18480*B*a^4*b*d^2*e^4 - 44352*A*a^2*b^3*d^3*e^3 + 36960*A*a^3*b^2*d^2*e^4 + 50688*B*a^2*b^3*d^4*e^2 - 44352*B*a^3*b^2*d^3*e^3 - 13860*A*a^4*b*d*e^5 - 28160*B*a*b^4*d^5*e)/(693*b*e^7) + (x^3*(2772*A*a^2*b^3*e^6 + 2772*B*a^3*b^2*e^6 + 352*A*b^5*d^2*e^4 - 384*B*b^5*d^3*e^3 + 1760*B*a*b^4*d^2*e^4 - 3168*B*a^2*b^3*d*e^5 - 1584*A*a*b^4*d*e^5))/(693*b*e^7) + (2*b^3*x^5*(11*A*b*e + 55*B*a*e - 12*B*b*d))/(99*e^2) + (x*(1386*B*a^5*e^6 + 6930*A*a^4*b*e^6 - 3072*B*b^5*d^5*e + 2816*A*b^5*d^4*e^2 - 12672*A*a*b^4*d^3*e^3 - 18480*A*a^3*b^2*d*e^5 + 14080*B*a*b^4*d^4*e^2 + 22176*A*a^2*b^3*d^2*e^4 - 25344*B*a^2*b^3*d^3*e^3 + 22176*B*a^3*b^2*d^2*e^4 - 9240*B*a^4*b*d*e^5))/(693*b*e^7) + (10*b^2*x^4*(198*B*a^2*e^2 + 24*B*b^2*d^2 + 99*A*a*b*e^2 - 22*A*b^2*d*e - 110*B*a*b*d*e))/(693*e^3) + (2*B*b^4*x^6)/(11*e)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
1857,1,695,446,3.886854,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(5/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x^2\,\left(630\,B\,a^4\,b\,e^6-2520\,B\,a^3\,b^2\,d\,e^5+1260\,A\,a^3\,b^2\,e^6+4032\,B\,a^2\,b^3\,d^2\,e^4-2520\,A\,a^2\,b^3\,d\,e^5-2880\,B\,a\,b^4\,d^3\,e^3+2016\,A\,a\,b^4\,d^2\,e^4+768\,B\,b^5\,d^4\,e^2-576\,A\,b^5\,d^3\,e^3\right)}{63\,b\,e^8}-\frac{84\,B\,a^5\,d\,e^5+42\,A\,a^5\,e^6-1680\,B\,a^4\,b\,d^2\,e^4+420\,A\,a^4\,b\,d\,e^5+6720\,B\,a^3\,b^2\,d^3\,e^3-3360\,A\,a^3\,b^2\,d^2\,e^4-10752\,B\,a^2\,b^3\,d^4\,e^2+6720\,A\,a^2\,b^3\,d^3\,e^3+7680\,B\,a\,b^4\,d^5\,e-5376\,A\,a\,b^4\,d^4\,e^2-2048\,B\,b^5\,d^6+1536\,A\,b^5\,d^5\,e}{63\,b\,e^8}+\frac{x^3\,\left(420\,B\,a^3\,b^2\,e^6-672\,B\,a^2\,b^3\,d\,e^5+420\,A\,a^2\,b^3\,e^6+480\,B\,a\,b^4\,d^2\,e^4-336\,A\,a\,b^4\,d\,e^5-128\,B\,b^5\,d^3\,e^3+96\,A\,b^5\,d^2\,e^4\right)}{63\,b\,e^8}+\frac{2\,b^3\,x^5\,\left(3\,A\,b\,e+15\,B\,a\,e-4\,B\,b\,d\right)}{21\,e^3}-\frac{x\,\left(126\,B\,a^5\,e^6-2520\,B\,a^4\,b\,d\,e^5+630\,A\,a^4\,b\,e^6+10080\,B\,a^3\,b^2\,d^2\,e^4-5040\,A\,a^3\,b^2\,d\,e^5-16128\,B\,a^2\,b^3\,d^3\,e^3+10080\,A\,a^2\,b^3\,d^2\,e^4+11520\,B\,a\,b^4\,d^4\,e^2-8064\,A\,a\,b^4\,d^3\,e^3-3072\,B\,b^5\,d^5\,e+2304\,A\,b^5\,d^4\,e^2\right)}{63\,b\,e^8}+\frac{2\,b^2\,x^4\,\left(42\,B\,a^2\,e^2-30\,B\,a\,b\,d\,e+21\,A\,a\,b\,e^2+8\,B\,b^2\,d^2-6\,A\,b^2\,d\,e\right)}{21\,e^4}+\frac{2\,B\,b^4\,x^6}{9\,e^2}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(63\,a\,e^8+63\,b\,d\,e^7\right)\,\sqrt{d+e\,x}}{63\,b\,e^8}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x^2*(630*B*a^4*b*e^6 + 1260*A*a^3*b^2*e^6 - 576*A*b^5*d^3*e^3 + 768*B*b^5*d^4*e^2 + 2016*A*a*b^4*d^2*e^4 - 2520*A*a^2*b^3*d*e^5 - 2880*B*a*b^4*d^3*e^3 - 2520*B*a^3*b^2*d*e^5 + 4032*B*a^2*b^3*d^2*e^4))/(63*b*e^8) - (42*A*a^5*e^6 - 2048*B*b^5*d^6 + 1536*A*b^5*d^5*e + 84*B*a^5*d*e^5 - 5376*A*a*b^4*d^4*e^2 - 1680*B*a^4*b*d^2*e^4 + 6720*A*a^2*b^3*d^3*e^3 - 3360*A*a^3*b^2*d^2*e^4 - 10752*B*a^2*b^3*d^4*e^2 + 6720*B*a^3*b^2*d^3*e^3 + 420*A*a^4*b*d*e^5 + 7680*B*a*b^4*d^5*e)/(63*b*e^8) + (x^3*(420*A*a^2*b^3*e^6 + 420*B*a^3*b^2*e^6 + 96*A*b^5*d^2*e^4 - 128*B*b^5*d^3*e^3 + 480*B*a*b^4*d^2*e^4 - 672*B*a^2*b^3*d*e^5 - 336*A*a*b^4*d*e^5))/(63*b*e^8) + (2*b^3*x^5*(3*A*b*e + 15*B*a*e - 4*B*b*d))/(21*e^3) - (x*(126*B*a^5*e^6 + 630*A*a^4*b*e^6 - 3072*B*b^5*d^5*e + 2304*A*b^5*d^4*e^2 - 8064*A*a*b^4*d^3*e^3 - 5040*A*a^3*b^2*d*e^5 + 11520*B*a*b^4*d^4*e^2 + 10080*A*a^2*b^3*d^2*e^4 - 16128*B*a^2*b^3*d^3*e^3 + 10080*B*a^3*b^2*d^2*e^4 - 2520*B*a^4*b*d*e^5))/(63*b*e^8) + (2*b^2*x^4*(42*B*a^2*e^2 + 8*B*b^2*d^2 + 21*A*a*b*e^2 - 6*A*b^2*d*e - 30*B*a*b*d*e))/(21*e^4) + (2*B*b^4*x^6)/(9*e^2)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(63*a*e^8 + 63*b*d*e^7)*(d + e*x)^(1/2))/(63*b*e^8))","B"
1858,1,718,448,3.945747,"\text{Not used}","int(((A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(7/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{x^3\,\left(20\,B\,a^3\,b^2\,e^6-\frac{160\,B\,a^2\,b^3\,d\,e^5}{3}+20\,A\,a^2\,b^3\,e^6+\frac{160\,B\,a\,b^4\,d^2\,e^4}{3}-\frac{80\,A\,a\,b^4\,d\,e^5}{3}-\frac{128\,B\,b^5\,d^3\,e^3}{7}+\frac{32\,A\,b^5\,d^2\,e^4}{3}\right)}{b\,e^9}-\frac{x^2\,\left(10\,B\,a^4\,b\,e^6-120\,B\,a^3\,b^2\,d\,e^5+20\,A\,a^3\,b^2\,e^6+320\,B\,a^2\,b^3\,d^2\,e^4-120\,A\,a^2\,b^3\,d\,e^5-320\,B\,a\,b^4\,d^3\,e^3+160\,A\,a\,b^4\,d^2\,e^4+\frac{768\,B\,b^5\,d^4\,e^2}{7}-64\,A\,b^5\,d^3\,e^3\right)}{b\,e^9}-\frac{\frac{4\,B\,a^5\,d\,e^5}{15}+\frac{2\,A\,a^5\,e^6}{5}+\frac{16\,B\,a^4\,b\,d^2\,e^4}{3}+\frac{4\,A\,a^4\,b\,d\,e^5}{3}-64\,B\,a^3\,b^2\,d^3\,e^3+\frac{32\,A\,a^3\,b^2\,d^2\,e^4}{3}+\frac{512\,B\,a^2\,b^3\,d^4\,e^2}{3}-64\,A\,a^2\,b^3\,d^3\,e^3-\frac{512\,B\,a\,b^4\,d^5\,e}{3}+\frac{256\,A\,a\,b^4\,d^4\,e^2}{3}+\frac{2048\,B\,b^5\,d^6}{35}-\frac{512\,A\,b^5\,d^5\,e}{15}}{b\,e^9}+\frac{b^3\,x^5\,\left(\frac{2\,A\,b\,e}{5}+2\,B\,a\,e-\frac{24\,B\,b\,d}{35}\right)}{e^4}-\frac{x\,\left(70\,B\,a^5\,e^6+1400\,B\,a^4\,b\,d\,e^5+350\,A\,a^4\,b\,e^6-16800\,B\,a^3\,b^2\,d^2\,e^4+2800\,A\,a^3\,b^2\,d\,e^5+44800\,B\,a^2\,b^3\,d^3\,e^3-16800\,A\,a^2\,b^3\,d^2\,e^4-44800\,B\,a\,b^4\,d^4\,e^2+22400\,A\,a\,b^4\,d^3\,e^3+15360\,B\,b^5\,d^5\,e-8960\,A\,b^5\,d^4\,e^2\right)}{105\,b\,e^9}+\frac{b^2\,x^4\,\left(\frac{20\,B\,a^2\,e^2}{3}-\frac{20\,B\,a\,b\,d\,e}{3}+\frac{10\,A\,a\,b\,e^2}{3}+\frac{16\,B\,b^2\,d^2}{7}-\frac{4\,A\,b^2\,d\,e}{3}\right)}{e^5}+\frac{2\,B\,b^4\,x^6}{7\,e^3}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(a\,e^9+2\,b\,d\,e^8\right)\,\sqrt{d+e\,x}}{b\,e^9}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((x^3*(20*A*a^2*b^3*e^6 + 20*B*a^3*b^2*e^6 + (32*A*b^5*d^2*e^4)/3 - (128*B*b^5*d^3*e^3)/7 + (160*B*a*b^4*d^2*e^4)/3 - (160*B*a^2*b^3*d*e^5)/3 - (80*A*a*b^4*d*e^5)/3))/(b*e^9) - (x^2*(10*B*a^4*b*e^6 + 20*A*a^3*b^2*e^6 - 64*A*b^5*d^3*e^3 + (768*B*b^5*d^4*e^2)/7 + 160*A*a*b^4*d^2*e^4 - 120*A*a^2*b^3*d*e^5 - 320*B*a*b^4*d^3*e^3 - 120*B*a^3*b^2*d*e^5 + 320*B*a^2*b^3*d^2*e^4))/(b*e^9) - ((2*A*a^5*e^6)/5 + (2048*B*b^5*d^6)/35 - (512*A*b^5*d^5*e)/15 + (4*B*a^5*d*e^5)/15 + (256*A*a*b^4*d^4*e^2)/3 + (16*B*a^4*b*d^2*e^4)/3 - 64*A*a^2*b^3*d^3*e^3 + (32*A*a^3*b^2*d^2*e^4)/3 + (512*B*a^2*b^3*d^4*e^2)/3 - 64*B*a^3*b^2*d^3*e^3 + (4*A*a^4*b*d*e^5)/3 - (512*B*a*b^4*d^5*e)/3)/(b*e^9) + (b^3*x^5*((2*A*b*e)/5 + 2*B*a*e - (24*B*b*d)/35))/e^4 - (x*(70*B*a^5*e^6 + 350*A*a^4*b*e^6 + 15360*B*b^5*d^5*e - 8960*A*b^5*d^4*e^2 + 22400*A*a*b^4*d^3*e^3 + 2800*A*a^3*b^2*d*e^5 - 44800*B*a*b^4*d^4*e^2 - 16800*A*a^2*b^3*d^2*e^4 + 44800*B*a^2*b^3*d^3*e^3 - 16800*B*a^3*b^2*d^2*e^4 + 1400*B*a^4*b*d*e^5))/(105*b*e^9) + (b^2*x^4*((20*B*a^2*e^2)/3 + (16*B*b^2*d^2)/7 + (10*A*a*b*e^2)/3 - (4*A*b^2*d*e)/3 - (20*B*a*b*d*e)/3))/e^5 + (2*B*b^4*x^6)/(7*e^3)))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(a*e^9 + 2*b*d*e^8)*(d + e*x)^(1/2))/(b*e^9) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
1859,0,-1,289,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/((a + b*x)^2)^(1/2), x)","F"
1860,0,-1,230,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/((a + b*x)^2)^(1/2), x)","F"
1861,0,-1,173,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/((a + b*x)^2)^(1/2), x)","F"
1862,0,-1,124,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{d+e\,x}} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(1/2)), x)","F"
1863,0,-1,138,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(3/2)), x)","F"
1864,0,-1,194,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(5/2)), x)","F"
1865,0,-1,251,0.000000,"\text{Not used}","int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(7/2)),x)","\int \frac{A+B\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int((A + B*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(7/2)), x)","F"
1866,0,-1,407,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1867,0,-1,341,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1868,0,-1,280,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1869,0,-1,215,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1870,0,-1,215,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1871,0,-1,281,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1872,0,-1,348,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1873,0,-1,414,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
1874,0,-1,557,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(11/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{11/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(11/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1875,0,-1,489,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{9/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1876,0,-1,424,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1877,0,-1,359,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1878,0,-1,359,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1879,0,-1,359,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1880,0,-1,359,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1881,0,-1,424,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1882,0,-1,496,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1883,0,-1,564,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
1884,1,2117,234,3.103422,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^2,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"
1885,1,676,138,2.397908,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x),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"
1886,0,-1,112,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{a^2+2\,a\,b\,x+b^2\,x^2} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x), x)","F"
1887,0,-1,126,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^2, x)","F"
1888,0,-1,471,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1889,0,-1,321,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1890,0,-1,171,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2),x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^m\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2} \,d x","Not used",1,"int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2), x)","F"
1891,0,-1,135,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(1/2), x)","F"
1892,0,-1,169,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1893,0,-1,174,0.000000,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","\int \left(A+B\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p \,d x","Not used",1,"int((A + B*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^p, x)","F"
1894,1,375,119,2.434681,"\text{Not used}","int(((f + g*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p)/(d + e*x)^(2*p + 3),x)","-{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{x^2\,\left(2\,a^2\,e^2\,g-b^2\,d^2\,g-3\,b^2\,d\,e\,f+2\,a^2\,e^2\,g\,p-2\,b^2\,d^2\,g\,p+2\,a\,b\,d\,e\,g+2\,a\,b\,e^2\,f\,p-2\,b^2\,d\,e\,f\,p\right)}{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{2\,p+3}\,\left(2\,p^2+3\,p+1\right)}+\frac{x\,\left(a^2\,e^2\,f-2\,b^2\,d^2\,f+3\,a^2\,d\,e\,g+2\,a^2\,e^2\,f\,p-2\,b^2\,d^2\,f\,p-2\,a\,b\,d\,e\,f-2\,a\,b\,d^2\,g\,p+2\,a^2\,d\,e\,g\,p\right)}{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{2\,p+3}\,\left(2\,p^2+3\,p+1\right)}+\frac{a\,d\,\left(a\,d\,g+a\,e\,f-2\,b\,d\,f+2\,a\,e\,f\,p-2\,b\,d\,f\,p\right)}{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{2\,p+3}\,\left(2\,p^2+3\,p+1\right)}-\frac{b\,e\,x^3\,\left(b\,d\,g-2\,a\,e\,g+b\,e\,f-2\,a\,e\,g\,p+2\,b\,d\,g\,p\right)}{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{2\,p+3}\,\left(2\,p^2+3\,p+1\right)}\right)","Not used",1,"-(a^2 + b^2*x^2 + 2*a*b*x)^p*((x^2*(2*a^2*e^2*g - b^2*d^2*g - 3*b^2*d*e*f + 2*a^2*e^2*g*p - 2*b^2*d^2*g*p + 2*a*b*d*e*g + 2*a*b*e^2*f*p - 2*b^2*d*e*f*p))/(2*(a*e - b*d)^2*(d + e*x)^(2*p + 3)*(3*p + 2*p^2 + 1)) + (x*(a^2*e^2*f - 2*b^2*d^2*f + 3*a^2*d*e*g + 2*a^2*e^2*f*p - 2*b^2*d^2*f*p - 2*a*b*d*e*f - 2*a*b*d^2*g*p + 2*a^2*d*e*g*p))/(2*(a*e - b*d)^2*(d + e*x)^(2*p + 3)*(3*p + 2*p^2 + 1)) + (a*d*(a*d*g + a*e*f - 2*b*d*f + 2*a*e*f*p - 2*b*d*f*p))/(2*(a*e - b*d)^2*(d + e*x)^(2*p + 3)*(3*p + 2*p^2 + 1)) - (b*e*x^3*(b*d*g - 2*a*e*g + b*e*f - 2*a*e*g*p + 2*b*d*g*p))/(2*(a*e - b*d)^2*(d + e*x)^(2*p + 3)*(3*p + 2*p^2 + 1)))","B"
1895,1,261,92,0.108135,"\text{Not used}","int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^5\,\left(a^3\,d\,e^4+6\,a^2\,b\,d^2\,e^3+6\,a\,b^2\,d^3\,e^2+b^3\,d^4\,e\right)+x^4\,\left(\frac{5\,a^3\,d^2\,e^3}{2}+\frac{15\,a^2\,b\,d^3\,e^2}{2}+\frac{15\,a\,b^2\,d^4\,e}{4}+\frac{b^3\,d^5}{4}\right)+x^6\,\left(\frac{a^3\,e^5}{6}+\frac{5\,a^2\,b\,d\,e^4}{2}+5\,a\,b^2\,d^2\,e^3+\frac{5\,b^3\,d^3\,e^2}{3}\right)+a^3\,d^5\,x+\frac{b^3\,e^5\,x^9}{9}+\frac{a^2\,d^4\,x^2\,\left(5\,a\,e+3\,b\,d\right)}{2}+\frac{b^2\,e^4\,x^8\,\left(3\,a\,e+5\,b\,d\right)}{8}+\frac{a\,d^3\,x^3\,\left(10\,a^2\,e^2+15\,a\,b\,d\,e+3\,b^2\,d^2\right)}{3}+\frac{b\,e^3\,x^7\,\left(3\,a^2\,e^2+15\,a\,b\,d\,e+10\,b^2\,d^2\right)}{7}","Not used",1,"x^5*(a^3*d*e^4 + b^3*d^4*e + 6*a*b^2*d^3*e^2 + 6*a^2*b*d^2*e^3) + x^4*((b^3*d^5)/4 + (5*a^3*d^2*e^3)/2 + (15*a^2*b*d^3*e^2)/2 + (15*a*b^2*d^4*e)/4) + x^6*((a^3*e^5)/6 + (5*b^3*d^3*e^2)/3 + 5*a*b^2*d^2*e^3 + (5*a^2*b*d*e^4)/2) + a^3*d^5*x + (b^3*e^5*x^9)/9 + (a^2*d^4*x^2*(5*a*e + 3*b*d))/2 + (b^2*e^4*x^8*(3*a*e + 5*b*d))/8 + (a*d^3*x^3*(10*a^2*e^2 + 3*b^2*d^2 + 15*a*b*d*e))/3 + (b*e^3*x^7*(3*a^2*e^2 + 10*b^2*d^2 + 15*a*b*d*e))/7","B"
1896,1,208,92,0.080632,"\text{Not used}","int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^4\,\left(a^3\,d\,e^3+\frac{9\,a^2\,b\,d^2\,e^2}{2}+3\,a\,b^2\,d^3\,e+\frac{b^3\,d^4}{4}\right)+x^5\,\left(\frac{a^3\,e^4}{5}+\frac{12\,a^2\,b\,d\,e^3}{5}+\frac{18\,a\,b^2\,d^2\,e^2}{5}+\frac{4\,b^3\,d^3\,e}{5}\right)+a^3\,d^4\,x+\frac{b^3\,e^4\,x^8}{8}+\frac{a^2\,d^3\,x^2\,\left(4\,a\,e+3\,b\,d\right)}{2}+\frac{b^2\,e^3\,x^7\,\left(3\,a\,e+4\,b\,d\right)}{7}+a\,d^2\,x^3\,\left(2\,a^2\,e^2+4\,a\,b\,d\,e+b^2\,d^2\right)+\frac{b\,e^2\,x^6\,\left(a^2\,e^2+4\,a\,b\,d\,e+2\,b^2\,d^2\right)}{2}","Not used",1,"x^4*((b^3*d^4)/4 + a^3*d*e^3 + (9*a^2*b*d^2*e^2)/2 + 3*a*b^2*d^3*e) + x^5*((a^3*e^4)/5 + (4*b^3*d^3*e)/5 + (18*a*b^2*d^2*e^2)/5 + (12*a^2*b*d*e^3)/5) + a^3*d^4*x + (b^3*e^4*x^8)/8 + (a^2*d^3*x^2*(4*a*e + 3*b*d))/2 + (b^2*e^3*x^7*(3*a*e + 4*b*d))/7 + a*d^2*x^3*(2*a^2*e^2 + b^2*d^2 + 4*a*b*d*e) + (b*e^2*x^6*(a^2*e^2 + 2*b^2*d^2 + 4*a*b*d*e))/2","B"
1897,1,152,92,0.066596,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^4\,\left(\frac{a^3\,e^3}{4}+\frac{9\,a^2\,b\,d\,e^2}{4}+\frac{9\,a\,b^2\,d^2\,e}{4}+\frac{b^3\,d^3}{4}\right)+a^3\,d^3\,x+\frac{b^3\,e^3\,x^7}{7}+a\,d\,x^3\,\left(a^2\,e^2+3\,a\,b\,d\,e+b^2\,d^2\right)+\frac{3\,b\,e\,x^5\,\left(a^2\,e^2+3\,a\,b\,d\,e+b^2\,d^2\right)}{5}+\frac{3\,a^2\,d^2\,x^2\,\left(a\,e+b\,d\right)}{2}+\frac{b^2\,e^2\,x^6\,\left(a\,e+b\,d\right)}{2}","Not used",1,"x^4*((a^3*e^3)/4 + (b^3*d^3)/4 + (9*a*b^2*d^2*e)/4 + (9*a^2*b*d*e^2)/4) + a^3*d^3*x + (b^3*e^3*x^7)/7 + a*d*x^3*(a^2*e^2 + b^2*d^2 + 3*a*b*d*e) + (3*b*e*x^5*(a^2*e^2 + b^2*d^2 + 3*a*b*d*e))/5 + (3*a^2*d^2*x^2*(a*e + b*d))/2 + (b^2*e^2*x^6*(a*e + b*d))/2","B"
1898,1,115,65,0.050303,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^3\,\left(\frac{a^3\,e^2}{3}+2\,a^2\,b\,d\,e+a\,b^2\,d^2\right)+x^4\,\left(\frac{3\,a^2\,b\,e^2}{4}+\frac{3\,a\,b^2\,d\,e}{2}+\frac{b^3\,d^2}{4}\right)+a^3\,d^2\,x+\frac{b^3\,e^2\,x^6}{6}+\frac{a^2\,d\,x^2\,\left(2\,a\,e+3\,b\,d\right)}{2}+\frac{b^2\,e\,x^5\,\left(3\,a\,e+2\,b\,d\right)}{5}","Not used",1,"x^3*((a^3*e^2)/3 + a*b^2*d^2 + 2*a^2*b*d*e) + x^4*((b^3*d^2)/4 + (3*a^2*b*e^2)/4 + (3*a*b^2*d*e)/2) + a^3*d^2*x + (b^3*e^2*x^6)/6 + (a^2*d*x^2*(2*a*e + 3*b*d))/2 + (b^2*e*x^5*(3*a*e + 2*b*d))/5","B"
1899,1,65,38,0.035086,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x),x)","x^2\,\left(\frac{e\,a^3}{2}+\frac{3\,b\,d\,a^2}{2}\right)+x^4\,\left(\frac{d\,b^3}{4}+\frac{3\,a\,e\,b^2}{4}\right)+\frac{b^3\,e\,x^5}{5}+a^3\,d\,x+a\,b\,x^3\,\left(a\,e+b\,d\right)","Not used",1,"x^2*((a^3*e)/2 + (3*a^2*b*d)/2) + x^4*((b^3*d)/4 + (3*a*b^2*e)/4) + (b^3*e*x^5)/5 + a^3*d*x + a*b*x^3*(a*e + b*d)","B"
1900,1,31,14,0.038039,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x),x)","a^3\,x+\frac{3\,a^2\,b\,x^2}{2}+a\,b^2\,x^3+\frac{b^3\,x^4}{4}","Not used",1,"a^3*x + (b^3*x^4)/4 + (3*a^2*b*x^2)/2 + a*b^2*x^3","B"
1901,1,118,74,2.026717,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x),x)","x^2\,\left(\frac{3\,a\,b^2}{2\,e}-\frac{b^3\,d}{2\,e^2}\right)+x\,\left(\frac{3\,a^2\,b}{e}-\frac{d\,\left(\frac{3\,a\,b^2}{e}-\frac{b^3\,d}{e^2}\right)}{e}\right)+\frac{\ln\left(d+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)}{e^4}+\frac{b^3\,x^3}{3\,e}","Not used",1,"x^2*((3*a*b^2)/(2*e) - (b^3*d)/(2*e^2)) + x*((3*a^2*b)/e - (d*((3*a*b^2)/e - (b^3*d)/e^2))/e) + (log(d + e*x)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/e^4 + (b^3*x^3)/(3*e)","B"
1902,1,123,75,0.073211,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^2,x)","x\,\left(\frac{3\,a\,b^2}{e^2}-\frac{2\,b^3\,d}{e^3}\right)+\frac{\ln\left(d+e\,x\right)\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)}{e^4}-\frac{a^3\,e^3-3\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e-b^3\,d^3}{e\,\left(x\,e^4+d\,e^3\right)}+\frac{b^3\,x^2}{2\,e^2}","Not used",1,"x*((3*a*b^2)/e^2 - (2*b^3*d)/e^3) + (log(d + e*x)*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e))/e^4 - (a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)/(e*(d*e^3 + e^4*x)) + (b^3*x^2)/(2*e^2)","B"
1903,1,130,78,2.041592,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^3,x)","\frac{b^3\,x}{e^3}-\frac{\ln\left(d+e\,x\right)\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)}{e^4}-\frac{\frac{a^3\,e^3+3\,a^2\,b\,d\,e^2-9\,a\,b^2\,d^2\,e+5\,b^3\,d^3}{2\,e}+x\,\left(3\,a^2\,b\,e^2-6\,a\,b^2\,d\,e+3\,b^3\,d^2\right)}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}","Not used",1,"(b^3*x)/e^3 - (log(d + e*x)*(3*b^3*d - 3*a*b^2*e))/e^4 - ((a^3*e^3 + 5*b^3*d^3 - 9*a*b^2*d^2*e + 3*a^2*b*d*e^2)/(2*e) + x*(3*b^3*d^2 + 3*a^2*b*e^2 - 6*a*b^2*d*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x)","B"
1904,1,138,86,0.092865,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^4,x)","\frac{b^3\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{2\,a^3\,e^3+3\,a^2\,b\,d\,e^2+6\,a\,b^2\,d^2\,e-11\,b^3\,d^3}{6\,e^4}+\frac{3\,x\,\left(a^2\,b\,e^2+2\,a\,b^2\,d\,e-3\,b^3\,d^2\right)}{2\,e^3}+\frac{3\,b^2\,x^2\,\left(a\,e-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^3*log(d + e*x))/e^4 - ((2*a^3*e^3 - 11*b^3*d^3 + 6*a*b^2*d^2*e + 3*a^2*b*d*e^2)/(6*e^4) + (3*x*(a^2*b*e^2 - 3*b^3*d^2 + 2*a*b^2*d*e))/(2*e^3) + (3*b^2*x^2*(a*e - b*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
1905,1,492,143,2.131604,"\text{Not used}","int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^5\,\left(3\,a^5\,d^2\,e^4+20\,a^4\,b\,d^3\,e^3+30\,a^3\,b^2\,d^4\,e^2+12\,a^2\,b^3\,d^5\,e+a\,b^4\,d^6\right)+x^8\,\left(\frac{5\,a^4\,b\,e^6}{8}+\frac{15\,a^3\,b^2\,d\,e^5}{2}+\frac{75\,a^2\,b^3\,d^2\,e^4}{4}+\frac{25\,a\,b^4\,d^3\,e^3}{2}+\frac{15\,b^5\,d^4\,e^2}{8}\right)+x^6\,\left(a^5\,d\,e^5+\frac{25\,a^4\,b\,d^2\,e^4}{2}+\frac{100\,a^3\,b^2\,d^3\,e^3}{3}+25\,a^2\,b^3\,d^4\,e^2+5\,a\,b^4\,d^5\,e+\frac{b^5\,d^6}{6}\right)+x^7\,\left(\frac{a^5\,e^6}{7}+\frac{30\,a^4\,b\,d\,e^5}{7}+\frac{150\,a^3\,b^2\,d^2\,e^4}{7}+\frac{200\,a^2\,b^3\,d^3\,e^3}{7}+\frac{75\,a\,b^4\,d^4\,e^2}{7}+\frac{6\,b^5\,d^5\,e}{7}\right)+a^5\,d^6\,x+\frac{b^5\,e^6\,x^{12}}{12}+\frac{5\,a^2\,d^3\,x^4\,\left(4\,a^3\,e^3+15\,a^2\,b\,d\,e^2+12\,a\,b^2\,d^2\,e+2\,b^3\,d^3\right)}{4}+\frac{5\,b^2\,e^3\,x^9\,\left(2\,a^3\,e^3+12\,a^2\,b\,d\,e^2+15\,a\,b^2\,d^2\,e+4\,b^3\,d^3\right)}{9}+\frac{a^4\,d^5\,x^2\,\left(6\,a\,e+5\,b\,d\right)}{2}+\frac{b^4\,e^5\,x^{11}\,\left(5\,a\,e+6\,b\,d\right)}{11}+\frac{5\,a^3\,d^4\,x^3\,\left(3\,a^2\,e^2+6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{3}+\frac{b^3\,e^4\,x^{10}\,\left(2\,a^2\,e^2+6\,a\,b\,d\,e+3\,b^2\,d^2\right)}{2}","Not used",1,"x^5*(a*b^4*d^6 + 3*a^5*d^2*e^4 + 12*a^2*b^3*d^5*e + 20*a^4*b*d^3*e^3 + 30*a^3*b^2*d^4*e^2) + x^8*((5*a^4*b*e^6)/8 + (15*b^5*d^4*e^2)/8 + (25*a*b^4*d^3*e^3)/2 + (15*a^3*b^2*d*e^5)/2 + (75*a^2*b^3*d^2*e^4)/4) + x^6*((b^5*d^6)/6 + a^5*d*e^5 + (25*a^4*b*d^2*e^4)/2 + 25*a^2*b^3*d^4*e^2 + (100*a^3*b^2*d^3*e^3)/3 + 5*a*b^4*d^5*e) + x^7*((a^5*e^6)/7 + (6*b^5*d^5*e)/7 + (75*a*b^4*d^4*e^2)/7 + (200*a^2*b^3*d^3*e^3)/7 + (150*a^3*b^2*d^2*e^4)/7 + (30*a^4*b*d*e^5)/7) + a^5*d^6*x + (b^5*e^6*x^12)/12 + (5*a^2*d^3*x^4*(4*a^3*e^3 + 2*b^3*d^3 + 12*a*b^2*d^2*e + 15*a^2*b*d*e^2))/4 + (5*b^2*e^3*x^9*(2*a^3*e^3 + 4*b^3*d^3 + 15*a*b^2*d^2*e + 12*a^2*b*d*e^2))/9 + (a^4*d^5*x^2*(6*a*e + 5*b*d))/2 + (b^4*e^5*x^11*(5*a*e + 6*b*d))/11 + (5*a^3*d^4*x^3*(3*a^2*e^2 + 2*b^2*d^2 + 6*a*b*d*e))/3 + (b^3*e^4*x^10*(2*a^2*e^2 + 3*b^2*d^2 + 6*a*b*d*e))/2","B"
1906,1,405,146,2.083761,"\text{Not used}","int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^6\,\left(\frac{a^5\,e^5}{6}+\frac{25\,a^4\,b\,d\,e^4}{6}+\frac{50\,a^3\,b^2\,d^2\,e^3}{3}+\frac{50\,a^2\,b^3\,d^3\,e^2}{3}+\frac{25\,a\,b^4\,d^4\,e}{6}+\frac{b^5\,d^5}{6}\right)+x^5\,\left(a^5\,d\,e^4+10\,a^4\,b\,d^2\,e^3+20\,a^3\,b^2\,d^3\,e^2+10\,a^2\,b^3\,d^4\,e+a\,b^4\,d^5\right)+x^7\,\left(\frac{5\,a^4\,b\,e^5}{7}+\frac{50\,a^3\,b^2\,d\,e^4}{7}+\frac{100\,a^2\,b^3\,d^2\,e^3}{7}+\frac{50\,a\,b^4\,d^3\,e^2}{7}+\frac{5\,b^5\,d^4\,e}{7}\right)+a^5\,d^5\,x+\frac{b^5\,e^5\,x^{11}}{11}+\frac{5\,a^2\,d^2\,x^4\,\left(a^3\,e^3+5\,a^2\,b\,d\,e^2+5\,a\,b^2\,d^2\,e+b^3\,d^3\right)}{2}+\frac{5\,b^2\,e^2\,x^8\,\left(a^3\,e^3+5\,a^2\,b\,d\,e^2+5\,a\,b^2\,d^2\,e+b^3\,d^3\right)}{4}+\frac{5\,a^4\,d^4\,x^2\,\left(a\,e+b\,d\right)}{2}+\frac{b^4\,e^4\,x^{10}\,\left(a\,e+b\,d\right)}{2}+\frac{5\,a^3\,d^3\,x^3\,\left(2\,a^2\,e^2+5\,a\,b\,d\,e+2\,b^2\,d^2\right)}{3}+\frac{5\,b^3\,e^3\,x^9\,\left(2\,a^2\,e^2+5\,a\,b\,d\,e+2\,b^2\,d^2\right)}{9}","Not used",1,"x^6*((a^5*e^5)/6 + (b^5*d^5)/6 + (50*a^2*b^3*d^3*e^2)/3 + (50*a^3*b^2*d^2*e^3)/3 + (25*a*b^4*d^4*e)/6 + (25*a^4*b*d*e^4)/6) + x^5*(a*b^4*d^5 + a^5*d*e^4 + 10*a^2*b^3*d^4*e + 10*a^4*b*d^2*e^3 + 20*a^3*b^2*d^3*e^2) + x^7*((5*a^4*b*e^5)/7 + (5*b^5*d^4*e)/7 + (50*a*b^4*d^3*e^2)/7 + (50*a^3*b^2*d*e^4)/7 + (100*a^2*b^3*d^2*e^3)/7) + a^5*d^5*x + (b^5*e^5*x^11)/11 + (5*a^2*d^2*x^4*(a^3*e^3 + b^3*d^3 + 5*a*b^2*d^2*e + 5*a^2*b*d*e^2))/2 + (5*b^2*e^2*x^8*(a^3*e^3 + b^3*d^3 + 5*a*b^2*d^2*e + 5*a^2*b*d*e^2))/4 + (5*a^4*d^4*x^2*(a*e + b*d))/2 + (b^4*e^4*x^10*(a*e + b*d))/2 + (5*a^3*d^3*x^3*(2*a^2*e^2 + 2*b^2*d^2 + 5*a*b*d*e))/3 + (5*b^3*e^3*x^9*(2*a^2*e^2 + 2*b^2*d^2 + 5*a*b*d*e))/9","B"
1907,1,340,119,2.074056,"\text{Not used}","int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^4\,\left(a^5\,d\,e^3+\frac{15\,a^4\,b\,d^2\,e^2}{2}+10\,a^3\,b^2\,d^3\,e+\frac{5\,a^2\,b^3\,d^4}{2}\right)+x^7\,\left(\frac{10\,a^3\,b^2\,e^4}{7}+\frac{40\,a^2\,b^3\,d\,e^3}{7}+\frac{30\,a\,b^4\,d^2\,e^2}{7}+\frac{4\,b^5\,d^3\,e}{7}\right)+x^5\,\left(\frac{a^5\,e^4}{5}+4\,a^4\,b\,d\,e^3+12\,a^3\,b^2\,d^2\,e^2+8\,a^2\,b^3\,d^3\,e+a\,b^4\,d^4\right)+x^6\,\left(\frac{5\,a^4\,b\,e^4}{6}+\frac{20\,a^3\,b^2\,d\,e^3}{3}+10\,a^2\,b^3\,d^2\,e^2+\frac{10\,a\,b^4\,d^3\,e}{3}+\frac{b^5\,d^4}{6}\right)+a^5\,d^4\,x+\frac{b^5\,e^4\,x^{10}}{10}+\frac{a^4\,d^3\,x^2\,\left(4\,a\,e+5\,b\,d\right)}{2}+\frac{b^4\,e^3\,x^9\,\left(5\,a\,e+4\,b\,d\right)}{9}+\frac{2\,a^3\,d^2\,x^3\,\left(3\,a^2\,e^2+10\,a\,b\,d\,e+5\,b^2\,d^2\right)}{3}+\frac{b^3\,e^2\,x^8\,\left(5\,a^2\,e^2+10\,a\,b\,d\,e+3\,b^2\,d^2\right)}{4}","Not used",1,"x^4*(a^5*d*e^3 + (5*a^2*b^3*d^4)/2 + 10*a^3*b^2*d^3*e + (15*a^4*b*d^2*e^2)/2) + x^7*((4*b^5*d^3*e)/7 + (10*a^3*b^2*e^4)/7 + (30*a*b^4*d^2*e^2)/7 + (40*a^2*b^3*d*e^3)/7) + x^5*((a^5*e^4)/5 + a*b^4*d^4 + 8*a^2*b^3*d^3*e + 12*a^3*b^2*d^2*e^2 + 4*a^4*b*d*e^3) + x^6*((b^5*d^4)/6 + (5*a^4*b*e^4)/6 + (20*a^3*b^2*d*e^3)/3 + 10*a^2*b^3*d^2*e^2 + (10*a*b^4*d^3*e)/3) + a^5*d^4*x + (b^5*e^4*x^10)/10 + (a^4*d^3*x^2*(4*a*e + 5*b*d))/2 + (b^4*e^3*x^9*(5*a*e + 4*b*d))/9 + (2*a^3*d^2*x^3*(3*a^2*e^2 + 5*b^2*d^2 + 10*a*b*d*e))/3 + (b^3*e^2*x^8*(5*a^2*e^2 + 3*b^2*d^2 + 10*a*b*d*e))/4","B"
1908,1,261,92,0.099129,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^5\,\left(a^4\,b\,e^3+6\,a^3\,b^2\,d\,e^2+6\,a^2\,b^3\,d^2\,e+a\,b^4\,d^3\right)+x^4\,\left(\frac{a^5\,e^3}{4}+\frac{15\,a^4\,b\,d\,e^2}{4}+\frac{15\,a^3\,b^2\,d^2\,e}{2}+\frac{5\,a^2\,b^3\,d^3}{2}\right)+x^6\,\left(\frac{5\,a^3\,b^2\,e^3}{3}+5\,a^2\,b^3\,d\,e^2+\frac{5\,a\,b^4\,d^2\,e}{2}+\frac{b^5\,d^3}{6}\right)+a^5\,d^3\,x+\frac{b^5\,e^3\,x^9}{9}+\frac{a^4\,d^2\,x^2\,\left(3\,a\,e+5\,b\,d\right)}{2}+\frac{b^4\,e^2\,x^8\,\left(5\,a\,e+3\,b\,d\right)}{8}+\frac{a^3\,d\,x^3\,\left(3\,a^2\,e^2+15\,a\,b\,d\,e+10\,b^2\,d^2\right)}{3}+\frac{b^3\,e\,x^7\,\left(10\,a^2\,e^2+15\,a\,b\,d\,e+3\,b^2\,d^2\right)}{7}","Not used",1,"x^5*(a*b^4*d^3 + a^4*b*e^3 + 6*a^2*b^3*d^2*e + 6*a^3*b^2*d*e^2) + x^4*((a^5*e^3)/4 + (5*a^2*b^3*d^3)/2 + (15*a^3*b^2*d^2*e)/2 + (15*a^4*b*d*e^2)/4) + x^6*((b^5*d^3)/6 + (5*a^3*b^2*e^3)/3 + 5*a^2*b^3*d*e^2 + (5*a*b^4*d^2*e)/2) + a^5*d^3*x + (b^5*e^3*x^9)/9 + (a^4*d^2*x^2*(3*a*e + 5*b*d))/2 + (b^4*e^2*x^8*(5*a*e + 3*b*d))/8 + (a^3*d*x^3*(3*a^2*e^2 + 10*b^2*d^2 + 15*a*b*d*e))/3 + (b^3*e*x^7*(10*a^2*e^2 + 3*b^2*d^2 + 15*a*b*d*e))/7","B"
1909,1,181,65,0.076081,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^3\,\left(\frac{a^5\,e^2}{3}+\frac{10\,a^4\,b\,d\,e}{3}+\frac{10\,a^3\,b^2\,d^2}{3}\right)+x^6\,\left(\frac{5\,a^2\,b^3\,e^2}{3}+\frac{5\,a\,b^4\,d\,e}{3}+\frac{b^5\,d^2}{6}\right)+a^5\,d^2\,x+\frac{b^5\,e^2\,x^8}{8}+\frac{a^4\,d\,x^2\,\left(2\,a\,e+5\,b\,d\right)}{2}+\frac{b^4\,e\,x^7\,\left(5\,a\,e+2\,b\,d\right)}{7}+\frac{5\,a^2\,b\,x^4\,\left(a^2\,e^2+4\,a\,b\,d\,e+2\,b^2\,d^2\right)}{4}+a\,b^2\,x^5\,\left(2\,a^2\,e^2+4\,a\,b\,d\,e+b^2\,d^2\right)","Not used",1,"x^3*((a^5*e^2)/3 + (10*a^3*b^2*d^2)/3 + (10*a^4*b*d*e)/3) + x^6*((b^5*d^2)/6 + (5*a^2*b^3*e^2)/3 + (5*a*b^4*d*e)/3) + a^5*d^2*x + (b^5*e^2*x^8)/8 + (a^4*d*x^2*(2*a*e + 5*b*d))/2 + (b^4*e*x^7*(5*a*e + 2*b*d))/7 + (5*a^2*b*x^4*(a^2*e^2 + 2*b^2*d^2 + 4*a*b*d*e))/4 + a*b^2*x^5*(2*a^2*e^2 + b^2*d^2 + 4*a*b*d*e)","B"
1910,1,103,38,2.024615,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","x^2\,\left(\frac{e\,a^5}{2}+\frac{5\,b\,d\,a^4}{2}\right)+x^6\,\left(\frac{d\,b^5}{6}+\frac{5\,a\,e\,b^4}{6}\right)+\frac{b^5\,e\,x^7}{7}+a^5\,d\,x+\frac{5\,a^3\,b\,x^3\,\left(a\,e+2\,b\,d\right)}{3}+a\,b^3\,x^5\,\left(2\,a\,e+b\,d\right)+\frac{5\,a^2\,b^2\,x^4\,\left(a\,e+b\,d\right)}{2}","Not used",1,"x^2*((a^5*e)/2 + (5*a^4*b*d)/2) + x^6*((b^5*d)/6 + (5*a*b^4*e)/6) + (b^5*e*x^7)/7 + a^5*d*x + (5*a^3*b*x^3*(a*e + 2*b*d))/3 + a*b^3*x^5*(2*a*e + b*d) + (5*a^2*b^2*x^4*(a*e + b*d))/2","B"
1911,1,53,14,0.026676,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","a^5\,x+\frac{5\,a^4\,b\,x^2}{2}+\frac{10\,a^3\,b^2\,x^3}{3}+\frac{5\,a^2\,b^3\,x^4}{2}+a\,b^4\,x^5+\frac{b^5\,x^6}{6}","Not used",1,"a^5*x + (b^5*x^6)/6 + (5*a^4*b*x^2)/2 + a*b^4*x^5 + (10*a^3*b^2*x^3)/3 + (5*a^2*b^3*x^4)/2","B"
1912,1,280,122,1.987769,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x),x)","x\,\left(\frac{5\,a^4\,b}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{5\,a\,b^4}{e}-\frac{b^5\,d}{e^2}\right)}{e}-\frac{10\,a^2\,b^3}{e}\right)}{e}+\frac{10\,a^3\,b^2}{e}\right)}{e}\right)+x^4\,\left(\frac{5\,a\,b^4}{4\,e}-\frac{b^5\,d}{4\,e^2}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{5\,a\,b^4}{e}-\frac{b^5\,d}{e^2}\right)}{e}-\frac{10\,a^2\,b^3}{e}\right)}{2\,e}+\frac{5\,a^3\,b^2}{e}\right)-x^3\,\left(\frac{d\,\left(\frac{5\,a\,b^4}{e}-\frac{b^5\,d}{e^2}\right)}{3\,e}-\frac{10\,a^2\,b^3}{3\,e}\right)+\frac{b^5\,x^5}{5\,e}+\frac{\ln\left(d+e\,x\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)}{e^6}","Not used",1,"x*((5*a^4*b)/e - (d*((d*((d*((5*a*b^4)/e - (b^5*d)/e^2))/e - (10*a^2*b^3)/e))/e + (10*a^3*b^2)/e))/e) + x^4*((5*a*b^4)/(4*e) - (b^5*d)/(4*e^2)) + x^2*((d*((d*((5*a*b^4)/e - (b^5*d)/e^2))/e - (10*a^2*b^3)/e))/(2*e) + (5*a^3*b^2)/e) - x^3*((d*((5*a*b^4)/e - (b^5*d)/e^2))/(3*e) - (10*a^2*b^3)/(3*e)) + (b^5*x^5)/(5*e) + (log(d + e*x)*(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))/e^6","B"
1913,1,327,130,2.017585,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^2,x)","x^3\,\left(\frac{5\,a\,b^4}{3\,e^2}-\frac{2\,b^5\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{5\,a\,b^4}{e^2}-\frac{2\,b^5\,d}{e^3}\right)}{e}-\frac{5\,a^2\,b^3}{e^2}+\frac{b^5\,d^2}{2\,e^4}\right)+x\,\left(\frac{10\,a^3\,b^2}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{5\,a\,b^4}{e^2}-\frac{2\,b^5\,d}{e^3}\right)}{e}-\frac{10\,a^2\,b^3}{e^2}+\frac{b^5\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{5\,a\,b^4}{e^2}-\frac{2\,b^5\,d}{e^3}\right)}{e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)}{e^6}-\frac{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}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{b^5\,x^4}{4\,e^2}","Not used",1,"x^3*((5*a*b^4)/(3*e^2) - (2*b^5*d)/(3*e^3)) - x^2*((d*((5*a*b^4)/e^2 - (2*b^5*d)/e^3))/e - (5*a^2*b^3)/e^2 + (b^5*d^2)/(2*e^4)) + x*((10*a^3*b^2)/e^2 + (2*d*((2*d*((5*a*b^4)/e^2 - (2*b^5*d)/e^3))/e - (10*a^2*b^3)/e^2 + (b^5*d^2)/e^4))/e - (d^2*((5*a*b^4)/e^2 - (2*b^5*d)/e^3))/e^2) + (log(d + e*x)*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e))/e^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)/(e*(d*e^5 + e^6*x)) + (b^5*x^4)/(4*e^2)","B"
1914,1,291,133,0.094863,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^3,x)","x^2\,\left(\frac{5\,a\,b^4}{2\,e^3}-\frac{3\,b^5\,d}{2\,e^4}\right)-\frac{\frac{a^5\,e^5+5\,a^4\,b\,d\,e^4-30\,a^3\,b^2\,d^2\,e^3+50\,a^2\,b^3\,d^3\,e^2-35\,a\,b^4\,d^4\,e+9\,b^5\,d^5}{2\,e}+x\,\left(5\,a^4\,b\,e^4-20\,a^3\,b^2\,d\,e^3+30\,a^2\,b^3\,d^2\,e^2-20\,a\,b^4\,d^3\,e+5\,b^5\,d^4\right)}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}-x\,\left(\frac{3\,d\,\left(\frac{5\,a\,b^4}{e^3}-\frac{3\,b^5\,d}{e^4}\right)}{e}-\frac{10\,a^2\,b^3}{e^3}+\frac{3\,b^5\,d^2}{e^5}\right)-\frac{\ln\left(d+e\,x\right)\,\left(-10\,a^3\,b^2\,e^3+30\,a^2\,b^3\,d\,e^2-30\,a\,b^4\,d^2\,e+10\,b^5\,d^3\right)}{e^6}+\frac{b^5\,x^3}{3\,e^3}","Not used",1,"x^2*((5*a*b^4)/(2*e^3) - (3*b^5*d)/(2*e^4)) - ((a^5*e^5 + 9*b^5*d^5 + 50*a^2*b^3*d^3*e^2 - 30*a^3*b^2*d^2*e^3 - 35*a*b^4*d^4*e + 5*a^4*b*d*e^4)/(2*e) + x*(5*b^5*d^4 + 5*a^4*b*e^4 - 20*a^3*b^2*d*e^3 + 30*a^2*b^3*d^2*e^2 - 20*a*b^4*d^3*e))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) - x*((3*d*((5*a*b^4)/e^3 - (3*b^5*d)/e^4))/e - (10*a^2*b^3)/e^3 + (3*b^5*d^2)/e^5) - (log(d + e*x)*(10*b^5*d^3 - 10*a^3*b^2*e^3 + 30*a^2*b^3*d*e^2 - 30*a*b^4*d^2*e))/e^6 + (b^5*x^3)/(3*e^3)","B"
1915,1,285,130,0.120402,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^4,x)","x\,\left(\frac{5\,a\,b^4}{e^4}-\frac{4\,b^5\,d}{e^5}\right)-\frac{\frac{2\,a^5\,e^5+5\,a^4\,b\,d\,e^4+20\,a^3\,b^2\,d^2\,e^3-110\,a^2\,b^3\,d^3\,e^2+130\,a\,b^4\,d^4\,e-47\,b^5\,d^5}{6\,e}+x\,\left(\frac{5\,a^4\,b\,e^4}{2}+10\,a^3\,b^2\,d\,e^3-45\,a^2\,b^3\,d^2\,e^2+50\,a\,b^4\,d^3\,e-\frac{35\,b^5\,d^4}{2}\right)-x^2\,\left(-10\,a^3\,b^2\,e^4+30\,a^2\,b^3\,d\,e^3-30\,a\,b^4\,d^2\,e^2+10\,b^5\,d^3\,e\right)}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{b^5\,x^2}{2\,e^4}+\frac{\ln\left(d+e\,x\right)\,\left(10\,a^2\,b^3\,e^2-20\,a\,b^4\,d\,e+10\,b^5\,d^2\right)}{e^6}","Not used",1,"x*((5*a*b^4)/e^4 - (4*b^5*d)/e^5) - ((2*a^5*e^5 - 47*b^5*d^5 - 110*a^2*b^3*d^3*e^2 + 20*a^3*b^2*d^2*e^3 + 130*a*b^4*d^4*e + 5*a^4*b*d*e^4)/(6*e) + x*((5*a^4*b*e^4)/2 - (35*b^5*d^4)/2 + 10*a^3*b^2*d*e^3 - 45*a^2*b^3*d^2*e^2 + 50*a*b^4*d^3*e) - x^2*(10*b^5*d^3*e - 10*a^3*b^2*e^4 - 30*a*b^4*d^2*e^2 + 30*a^2*b^3*d*e^3))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (b^5*x^2)/(2*e^4) + (log(d + e*x)*(10*b^5*d^2 + 10*a^2*b^3*e^2 - 20*a*b^4*d*e))/e^6","B"
1916,1,683,173,2.261179,"\text{Not used}","int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^5\,\left(3\,a^7\,d^2\,e^4+28\,a^6\,b\,d^3\,e^3+63\,a^5\,b^2\,d^4\,e^2+42\,a^4\,b^3\,d^5\,e+7\,a^3\,b^4\,d^6\right)+x^{10}\,\left(\frac{7\,a^4\,b^3\,e^6}{2}+21\,a^3\,b^4\,d\,e^5+\frac{63\,a^2\,b^5\,d^2\,e^4}{2}+14\,a\,b^6\,d^3\,e^3+\frac{3\,b^7\,d^4\,e^2}{2}\right)+x^6\,\left(a^7\,d\,e^5+\frac{35\,a^6\,b\,d^2\,e^4}{2}+70\,a^5\,b^2\,d^3\,e^3+\frac{175\,a^4\,b^3\,d^4\,e^2}{2}+35\,a^3\,b^4\,d^5\,e+\frac{7\,a^2\,b^5\,d^6}{2}\right)+x^9\,\left(\frac{7\,a^5\,b^2\,e^6}{3}+\frac{70\,a^4\,b^3\,d\,e^5}{3}+\frac{175\,a^3\,b^4\,d^2\,e^4}{3}+\frac{140\,a^2\,b^5\,d^3\,e^3}{3}+\frac{35\,a\,b^6\,d^4\,e^2}{3}+\frac{2\,b^7\,d^5\,e}{3}\right)+x^7\,\left(\frac{a^7\,e^6}{7}+6\,a^6\,b\,d\,e^5+45\,a^5\,b^2\,d^2\,e^4+100\,a^4\,b^3\,d^3\,e^3+75\,a^3\,b^4\,d^4\,e^2+18\,a^2\,b^5\,d^5\,e+a\,b^6\,d^6\right)+x^8\,\left(\frac{7\,a^6\,b\,e^6}{8}+\frac{63\,a^5\,b^2\,d\,e^5}{4}+\frac{525\,a^4\,b^3\,d^2\,e^4}{8}+\frac{175\,a^3\,b^4\,d^3\,e^3}{2}+\frac{315\,a^2\,b^5\,d^4\,e^2}{8}+\frac{21\,a\,b^6\,d^5\,e}{4}+\frac{b^7\,d^6}{8}\right)+x^4\,\left(5\,a^7\,d^3\,e^3+\frac{105\,a^6\,b\,d^4\,e^2}{4}+\frac{63\,a^5\,b^2\,d^5\,e}{2}+\frac{35\,a^4\,b^3\,d^6}{4}\right)+x^{11}\,\left(\frac{35\,a^3\,b^4\,e^6}{11}+\frac{126\,a^2\,b^5\,d\,e^5}{11}+\frac{105\,a\,b^6\,d^2\,e^4}{11}+\frac{20\,b^7\,d^3\,e^3}{11}\right)+a^7\,d^6\,x+\frac{b^7\,e^6\,x^{14}}{14}+\frac{a^6\,d^5\,x^2\,\left(6\,a\,e+7\,b\,d\right)}{2}+\frac{b^6\,e^5\,x^{13}\,\left(7\,a\,e+6\,b\,d\right)}{13}+a^5\,d^4\,x^3\,\left(5\,a^2\,e^2+14\,a\,b\,d\,e+7\,b^2\,d^2\right)+\frac{b^5\,e^4\,x^{12}\,\left(7\,a^2\,e^2+14\,a\,b\,d\,e+5\,b^2\,d^2\right)}{4}","Not used",1,"x^5*(7*a^3*b^4*d^6 + 3*a^7*d^2*e^4 + 42*a^4*b^3*d^5*e + 28*a^6*b*d^3*e^3 + 63*a^5*b^2*d^4*e^2) + x^10*((7*a^4*b^3*e^6)/2 + (3*b^7*d^4*e^2)/2 + 14*a*b^6*d^3*e^3 + 21*a^3*b^4*d*e^5 + (63*a^2*b^5*d^2*e^4)/2) + x^6*(a^7*d*e^5 + (7*a^2*b^5*d^6)/2 + 35*a^3*b^4*d^5*e + (35*a^6*b*d^2*e^4)/2 + (175*a^4*b^3*d^4*e^2)/2 + 70*a^5*b^2*d^3*e^3) + x^9*((2*b^7*d^5*e)/3 + (7*a^5*b^2*e^6)/3 + (35*a*b^6*d^4*e^2)/3 + (70*a^4*b^3*d*e^5)/3 + (140*a^2*b^5*d^3*e^3)/3 + (175*a^3*b^4*d^2*e^4)/3) + x^7*((a^7*e^6)/7 + a*b^6*d^6 + 18*a^2*b^5*d^5*e + 75*a^3*b^4*d^4*e^2 + 100*a^4*b^3*d^3*e^3 + 45*a^5*b^2*d^2*e^4 + 6*a^6*b*d*e^5) + x^8*((b^7*d^6)/8 + (7*a^6*b*e^6)/8 + (63*a^5*b^2*d*e^5)/4 + (315*a^2*b^5*d^4*e^2)/8 + (175*a^3*b^4*d^3*e^3)/2 + (525*a^4*b^3*d^2*e^4)/8 + (21*a*b^6*d^5*e)/4) + x^4*((35*a^4*b^3*d^6)/4 + 5*a^7*d^3*e^3 + (63*a^5*b^2*d^5*e)/2 + (105*a^6*b*d^4*e^2)/4) + x^11*((35*a^3*b^4*e^6)/11 + (20*b^7*d^3*e^3)/11 + (105*a*b^6*d^2*e^4)/11 + (126*a^2*b^5*d*e^5)/11) + a^7*d^6*x + (b^7*e^6*x^14)/14 + (a^6*d^5*x^2*(6*a*e + 7*b*d))/2 + (b^6*e^5*x^13*(7*a*e + 6*b*d))/13 + a^5*d^4*x^3*(5*a^2*e^2 + 7*b^2*d^2 + 14*a*b*d*e) + (b^5*e^4*x^12*(7*a^2*e^2 + 5*b^2*d^2 + 14*a*b*d*e))/4","B"
1917,1,570,143,2.166640,"\text{Not used}","int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^5\,\left(a^7\,d\,e^4+14\,a^6\,b\,d^2\,e^3+42\,a^5\,b^2\,d^3\,e^2+35\,a^4\,b^3\,d^4\,e+7\,a^3\,b^4\,d^5\right)+x^9\,\left(\frac{35\,a^4\,b^3\,e^5}{9}+\frac{175\,a^3\,b^4\,d\,e^4}{9}+\frac{70\,a^2\,b^5\,d^2\,e^3}{3}+\frac{70\,a\,b^6\,d^3\,e^2}{9}+\frac{5\,b^7\,d^4\,e}{9}\right)+x^7\,\left(a^6\,b\,e^5+15\,a^5\,b^2\,d\,e^4+50\,a^4\,b^3\,d^2\,e^3+50\,a^3\,b^4\,d^3\,e^2+15\,a^2\,b^5\,d^4\,e+a\,b^6\,d^5\right)+x^6\,\left(\frac{a^7\,e^5}{6}+\frac{35\,a^6\,b\,d\,e^4}{6}+35\,a^5\,b^2\,d^2\,e^3+\frac{175\,a^4\,b^3\,d^3\,e^2}{3}+\frac{175\,a^3\,b^4\,d^4\,e}{6}+\frac{7\,a^2\,b^5\,d^5}{2}\right)+x^8\,\left(\frac{21\,a^5\,b^2\,e^5}{8}+\frac{175\,a^4\,b^3\,d\,e^4}{8}+\frac{175\,a^3\,b^4\,d^2\,e^3}{4}+\frac{105\,a^2\,b^5\,d^3\,e^2}{4}+\frac{35\,a\,b^6\,d^4\,e}{8}+\frac{b^7\,d^5}{8}\right)+a^7\,d^5\,x+\frac{b^7\,e^5\,x^{13}}{13}+\frac{5\,a^4\,d^2\,x^4\,\left(2\,a^3\,e^3+14\,a^2\,b\,d\,e^2+21\,a\,b^2\,d^2\,e+7\,b^3\,d^3\right)}{4}+\frac{b^4\,e^2\,x^{10}\,\left(7\,a^3\,e^3+21\,a^2\,b\,d\,e^2+14\,a\,b^2\,d^2\,e+2\,b^3\,d^3\right)}{2}+\frac{a^6\,d^4\,x^2\,\left(5\,a\,e+7\,b\,d\right)}{2}+\frac{b^6\,e^4\,x^{12}\,\left(7\,a\,e+5\,b\,d\right)}{12}+\frac{a^5\,d^3\,x^3\,\left(10\,a^2\,e^2+35\,a\,b\,d\,e+21\,b^2\,d^2\right)}{3}+\frac{b^5\,e^3\,x^{11}\,\left(21\,a^2\,e^2+35\,a\,b\,d\,e+10\,b^2\,d^2\right)}{11}","Not used",1,"x^5*(a^7*d*e^4 + 7*a^3*b^4*d^5 + 35*a^4*b^3*d^4*e + 14*a^6*b*d^2*e^3 + 42*a^5*b^2*d^3*e^2) + x^9*((5*b^7*d^4*e)/9 + (35*a^4*b^3*e^5)/9 + (70*a*b^6*d^3*e^2)/9 + (175*a^3*b^4*d*e^4)/9 + (70*a^2*b^5*d^2*e^3)/3) + x^7*(a*b^6*d^5 + a^6*b*e^5 + 15*a^2*b^5*d^4*e + 15*a^5*b^2*d*e^4 + 50*a^3*b^4*d^3*e^2 + 50*a^4*b^3*d^2*e^3) + x^6*((a^7*e^5)/6 + (7*a^2*b^5*d^5)/2 + (175*a^3*b^4*d^4*e)/6 + (175*a^4*b^3*d^3*e^2)/3 + 35*a^5*b^2*d^2*e^3 + (35*a^6*b*d*e^4)/6) + x^8*((b^7*d^5)/8 + (21*a^5*b^2*e^5)/8 + (175*a^4*b^3*d*e^4)/8 + (105*a^2*b^5*d^3*e^2)/4 + (175*a^3*b^4*d^2*e^3)/4 + (35*a*b^6*d^4*e)/8) + a^7*d^5*x + (b^7*e^5*x^13)/13 + (5*a^4*d^2*x^4*(2*a^3*e^3 + 7*b^3*d^3 + 21*a*b^2*d^2*e + 14*a^2*b*d*e^2))/4 + (b^4*e^2*x^10*(7*a^3*e^3 + 2*b^3*d^3 + 14*a*b^2*d^2*e + 21*a^2*b*d*e^2))/2 + (a^6*d^4*x^2*(5*a*e + 7*b*d))/2 + (b^6*e^4*x^12*(7*a*e + 5*b*d))/12 + (a^5*d^3*x^3*(10*a^2*e^2 + 21*b^2*d^2 + 35*a*b*d*e))/3 + (b^5*e^3*x^11*(21*a^2*e^2 + 10*b^2*d^2 + 35*a*b*d*e))/11","B"
1918,1,470,119,0.177539,"\text{Not used}","int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^5\,\left(\frac{a^7\,e^4}{5}+\frac{28\,a^6\,b\,d\,e^3}{5}+\frac{126\,a^5\,b^2\,d^2\,e^2}{5}+28\,a^4\,b^3\,d^3\,e+7\,a^3\,b^4\,d^4\right)+x^8\,\left(\frac{35\,a^4\,b^3\,e^4}{8}+\frac{35\,a^3\,b^4\,d\,e^3}{2}+\frac{63\,a^2\,b^5\,d^2\,e^2}{4}+\frac{7\,a\,b^6\,d^3\,e}{2}+\frac{b^7\,d^4}{8}\right)+x^4\,\left(a^7\,d\,e^3+\frac{21\,a^6\,b\,d^2\,e^2}{2}+21\,a^5\,b^2\,d^3\,e+\frac{35\,a^4\,b^3\,d^4}{4}\right)+x^9\,\left(\frac{35\,a^3\,b^4\,e^4}{9}+\frac{28\,a^2\,b^5\,d\,e^3}{3}+\frac{14\,a\,b^6\,d^2\,e^2}{3}+\frac{4\,b^7\,d^3\,e}{9}\right)+x^7\,\left(3\,a^5\,b^2\,e^4+20\,a^4\,b^3\,d\,e^3+30\,a^3\,b^4\,d^2\,e^2+12\,a^2\,b^5\,d^3\,e+a\,b^6\,d^4\right)+x^6\,\left(\frac{7\,a^6\,b\,e^4}{6}+14\,a^5\,b^2\,d\,e^3+35\,a^4\,b^3\,d^2\,e^2+\frac{70\,a^3\,b^4\,d^3\,e}{3}+\frac{7\,a^2\,b^5\,d^4}{2}\right)+a^7\,d^4\,x+\frac{b^7\,e^4\,x^{12}}{12}+\frac{a^6\,d^3\,x^2\,\left(4\,a\,e+7\,b\,d\right)}{2}+\frac{b^6\,e^3\,x^{11}\,\left(7\,a\,e+4\,b\,d\right)}{11}+\frac{a^5\,d^2\,x^3\,\left(6\,a^2\,e^2+28\,a\,b\,d\,e+21\,b^2\,d^2\right)}{3}+\frac{b^5\,e^2\,x^{10}\,\left(21\,a^2\,e^2+28\,a\,b\,d\,e+6\,b^2\,d^2\right)}{10}","Not used",1,"x^5*((a^7*e^4)/5 + 7*a^3*b^4*d^4 + 28*a^4*b^3*d^3*e + (126*a^5*b^2*d^2*e^2)/5 + (28*a^6*b*d*e^3)/5) + x^8*((b^7*d^4)/8 + (35*a^4*b^3*e^4)/8 + (35*a^3*b^4*d*e^3)/2 + (63*a^2*b^5*d^2*e^2)/4 + (7*a*b^6*d^3*e)/2) + x^4*(a^7*d*e^3 + (35*a^4*b^3*d^4)/4 + 21*a^5*b^2*d^3*e + (21*a^6*b*d^2*e^2)/2) + x^9*((4*b^7*d^3*e)/9 + (35*a^3*b^4*e^4)/9 + (14*a*b^6*d^2*e^2)/3 + (28*a^2*b^5*d*e^3)/3) + x^7*(a*b^6*d^4 + 3*a^5*b^2*e^4 + 12*a^2*b^5*d^3*e + 20*a^4*b^3*d*e^3 + 30*a^3*b^4*d^2*e^2) + x^6*((7*a^6*b*e^4)/6 + (7*a^2*b^5*d^4)/2 + (70*a^3*b^4*d^3*e)/3 + 14*a^5*b^2*d*e^3 + 35*a^4*b^3*d^2*e^2) + a^7*d^4*x + (b^7*e^4*x^12)/12 + (a^6*d^3*x^2*(4*a*e + 7*b*d))/2 + (b^6*e^3*x^11*(7*a*e + 4*b*d))/11 + (a^5*d^2*x^3*(6*a^2*e^2 + 21*b^2*d^2 + 28*a*b*d*e))/3 + (b^5*e^2*x^10*(21*a^2*e^2 + 6*b^2*d^2 + 28*a*b*d*e))/10","B"
1919,1,356,92,2.172630,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^7\,\left(5\,a^4\,b^3\,e^3+15\,a^3\,b^4\,d\,e^2+9\,a^2\,b^5\,d^2\,e+a\,b^6\,d^3\right)+x^5\,\left(\frac{7\,a^6\,b\,e^3}{5}+\frac{63\,a^5\,b^2\,d\,e^2}{5}+21\,a^4\,b^3\,d^2\,e+7\,a^3\,b^4\,d^3\right)+x^4\,\left(\frac{a^7\,e^3}{4}+\frac{21\,a^6\,b\,d\,e^2}{4}+\frac{63\,a^5\,b^2\,d^2\,e}{4}+\frac{35\,a^4\,b^3\,d^3}{4}\right)+x^8\,\left(\frac{35\,a^3\,b^4\,e^3}{8}+\frac{63\,a^2\,b^5\,d\,e^2}{8}+\frac{21\,a\,b^6\,d^2\,e}{8}+\frac{b^7\,d^3}{8}\right)+a^7\,d^3\,x+\frac{b^7\,e^3\,x^{11}}{11}+\frac{7\,a^2\,b^2\,x^6\,\left(a^3\,e^3+5\,a^2\,b\,d\,e^2+5\,a\,b^2\,d^2\,e+b^3\,d^3\right)}{2}+\frac{a^6\,d^2\,x^2\,\left(3\,a\,e+7\,b\,d\right)}{2}+\frac{b^6\,e^2\,x^{10}\,\left(7\,a\,e+3\,b\,d\right)}{10}+a^5\,d\,x^3\,\left(a^2\,e^2+7\,a\,b\,d\,e+7\,b^2\,d^2\right)+\frac{b^5\,e\,x^9\,\left(7\,a^2\,e^2+7\,a\,b\,d\,e+b^2\,d^2\right)}{3}","Not used",1,"x^7*(a*b^6*d^3 + 5*a^4*b^3*e^3 + 9*a^2*b^5*d^2*e + 15*a^3*b^4*d*e^2) + x^5*((7*a^6*b*e^3)/5 + 7*a^3*b^4*d^3 + 21*a^4*b^3*d^2*e + (63*a^5*b^2*d*e^2)/5) + x^4*((a^7*e^3)/4 + (35*a^4*b^3*d^3)/4 + (63*a^5*b^2*d^2*e)/4 + (21*a^6*b*d*e^2)/4) + x^8*((b^7*d^3)/8 + (35*a^3*b^4*e^3)/8 + (63*a^2*b^5*d*e^2)/8 + (21*a*b^6*d^2*e)/8) + a^7*d^3*x + (b^7*e^3*x^11)/11 + (7*a^2*b^2*x^6*(a^3*e^3 + b^3*d^3 + 5*a*b^2*d^2*e + 5*a^2*b*d*e^2))/2 + (a^6*d^2*x^2*(3*a*e + 7*b*d))/2 + (b^6*e^2*x^10*(7*a*e + 3*b*d))/10 + a^5*d*x^3*(a^2*e^2 + 7*b^2*d^2 + 7*a*b*d*e) + (b^5*e*x^9*(7*a^2*e^2 + b^2*d^2 + 7*a*b*d*e))/3","B"
1920,1,249,65,2.091499,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^3\,\left(\frac{a^7\,e^2}{3}+\frac{14\,a^6\,b\,d\,e}{3}+7\,a^5\,b^2\,d^2\right)+x^8\,\left(\frac{21\,a^2\,b^5\,e^2}{8}+\frac{7\,a\,b^6\,d\,e}{4}+\frac{b^7\,d^2}{8}\right)+a^7\,d^2\,x+\frac{b^7\,e^2\,x^{10}}{10}+\frac{a^6\,d\,x^2\,\left(2\,a\,e+7\,b\,d\right)}{2}+\frac{b^6\,e\,x^9\,\left(7\,a\,e+2\,b\,d\right)}{9}+\frac{7\,a^4\,b\,x^4\,\left(a^2\,e^2+6\,a\,b\,d\,e+5\,b^2\,d^2\right)}{4}+a\,b^4\,x^7\,\left(5\,a^2\,e^2+6\,a\,b\,d\,e+b^2\,d^2\right)+\frac{7\,a^3\,b^2\,x^5\,\left(3\,a^2\,e^2+10\,a\,b\,d\,e+5\,b^2\,d^2\right)}{5}+\frac{7\,a^2\,b^3\,x^6\,\left(5\,a^2\,e^2+10\,a\,b\,d\,e+3\,b^2\,d^2\right)}{6}","Not used",1,"x^3*((a^7*e^2)/3 + 7*a^5*b^2*d^2 + (14*a^6*b*d*e)/3) + x^8*((b^7*d^2)/8 + (21*a^2*b^5*e^2)/8 + (7*a*b^6*d*e)/4) + a^7*d^2*x + (b^7*e^2*x^10)/10 + (a^6*d*x^2*(2*a*e + 7*b*d))/2 + (b^6*e*x^9*(7*a*e + 2*b*d))/9 + (7*a^4*b*x^4*(a^2*e^2 + 5*b^2*d^2 + 6*a*b*d*e))/4 + a*b^4*x^7*(5*a^2*e^2 + b^2*d^2 + 6*a*b*d*e) + (7*a^3*b^2*x^5*(3*a^2*e^2 + 5*b^2*d^2 + 10*a*b*d*e))/5 + (7*a^2*b^3*x^6*(5*a^2*e^2 + 3*b^2*d^2 + 10*a*b*d*e))/6","B"
1921,1,143,38,0.070631,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","x^2\,\left(\frac{e\,a^7}{2}+\frac{7\,b\,d\,a^6}{2}\right)+x^8\,\left(\frac{d\,b^7}{8}+\frac{7\,a\,e\,b^6}{8}\right)+\frac{b^7\,e\,x^9}{9}+a^7\,d\,x+\frac{7\,a^5\,b\,x^3\,\left(a\,e+3\,b\,d\right)}{3}+a\,b^5\,x^7\,\left(3\,a\,e+b\,d\right)+7\,a^3\,b^3\,x^5\,\left(a\,e+b\,d\right)+\frac{7\,a^4\,b^2\,x^4\,\left(3\,a\,e+5\,b\,d\right)}{4}+\frac{7\,a^2\,b^4\,x^6\,\left(5\,a\,e+3\,b\,d\right)}{6}","Not used",1,"x^2*((a^7*e)/2 + (7*a^6*b*d)/2) + x^8*((b^7*d)/8 + (7*a*b^6*e)/8) + (b^7*e*x^9)/9 + a^7*d*x + (7*a^5*b*x^3*(a*e + 3*b*d))/3 + a*b^5*x^7*(3*a*e + b*d) + 7*a^3*b^3*x^5*(a*e + b*d) + (7*a^4*b^2*x^4*(3*a*e + 5*b*d))/4 + (7*a^2*b^4*x^6*(5*a*e + 3*b*d))/6","B"
1922,1,75,14,0.034199,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","a^7\,x+\frac{7\,a^6\,b\,x^2}{2}+7\,a^5\,b^2\,x^3+\frac{35\,a^4\,b^3\,x^4}{4}+7\,a^3\,b^4\,x^5+\frac{7\,a^2\,b^5\,x^6}{2}+a\,b^6\,x^7+\frac{b^7\,x^8}{8}","Not used",1,"a^7*x + (b^7*x^8)/8 + (7*a^6*b*x^2)/2 + a*b^6*x^7 + 7*a^5*b^2*x^3 + (35*a^4*b^3*x^4)/4 + 7*a^3*b^4*x^5 + (7*a^2*b^5*x^6)/2","B"
1923,1,510,170,0.073051,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x),x)","x^6\,\left(\frac{7\,a\,b^6}{6\,e}-\frac{b^7\,d}{6\,e^2}\right)+x\,\left(\frac{7\,a^6\,b}{e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e}-\frac{b^7\,d}{e^2}\right)}{e}-\frac{21\,a^2\,b^5}{e}\right)}{e}+\frac{35\,a^3\,b^4}{e}\right)}{e}-\frac{35\,a^4\,b^3}{e}\right)}{e}+\frac{21\,a^5\,b^2}{e}\right)}{e}\right)+x^4\,\left(\frac{d\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e}-\frac{b^7\,d}{e^2}\right)}{e}-\frac{21\,a^2\,b^5}{e}\right)}{4\,e}+\frac{35\,a^3\,b^4}{4\,e}\right)+x^2\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e}-\frac{b^7\,d}{e^2}\right)}{e}-\frac{21\,a^2\,b^5}{e}\right)}{e}+\frac{35\,a^3\,b^4}{e}\right)}{e}-\frac{35\,a^4\,b^3}{e}\right)}{2\,e}+\frac{21\,a^5\,b^2}{2\,e}\right)-x^5\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e}-\frac{b^7\,d}{e^2}\right)}{5\,e}-\frac{21\,a^2\,b^5}{5\,e}\right)-x^3\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e}-\frac{b^7\,d}{e^2}\right)}{e}-\frac{21\,a^2\,b^5}{e}\right)}{e}+\frac{35\,a^3\,b^4}{e}\right)}{3\,e}-\frac{35\,a^4\,b^3}{3\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}{e^8}+\frac{b^7\,x^7}{7\,e}","Not used",1,"x^6*((7*a*b^6)/(6*e) - (b^7*d)/(6*e^2)) + x*((7*a^6*b)/e - (d*((d*((d*((d*((d*((7*a*b^6)/e - (b^7*d)/e^2))/e - (21*a^2*b^5)/e))/e + (35*a^3*b^4)/e))/e - (35*a^4*b^3)/e))/e + (21*a^5*b^2)/e))/e) + x^4*((d*((d*((7*a*b^6)/e - (b^7*d)/e^2))/e - (21*a^2*b^5)/e))/(4*e) + (35*a^3*b^4)/(4*e)) + x^2*((d*((d*((d*((d*((7*a*b^6)/e - (b^7*d)/e^2))/e - (21*a^2*b^5)/e))/e + (35*a^3*b^4)/e))/e - (35*a^4*b^3)/e))/(2*e) + (21*a^5*b^2)/(2*e)) - x^5*((d*((7*a*b^6)/e - (b^7*d)/e^2))/(5*e) - (21*a^2*b^5)/(5*e)) - x^3*((d*((d*((d*((7*a*b^6)/e - (b^7*d)/e^2))/e - (21*a^2*b^5)/e))/e + (35*a^3*b^4)/e))/(3*e) - (35*a^4*b^3)/(3*e)) + (log(d + e*x)*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6))/e^8 + (b^7*x^7)/(7*e)","B"
1924,1,839,186,2.002450,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^2,x)","x^5\,\left(\frac{7\,a\,b^6}{5\,e^2}-\frac{2\,b^7\,d}{5\,e^3}\right)+x^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{2\,e^2}-\frac{d\,\left(\frac{35\,a^3\,b^4}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e^2}\right)}{e}+\frac{35\,a^4\,b^3}{2\,e^2}\right)-x^4\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{2\,e}-\frac{21\,a^2\,b^5}{4\,e^2}+\frac{b^7\,d^2}{4\,e^4}\right)+x^3\,\left(\frac{35\,a^3\,b^4}{3\,e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{3\,e}-\frac{d^2\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{3\,e^2}\right)-x\,\left(\frac{d^2\,\left(\frac{35\,a^3\,b^4}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e^2}\right)}{e^2}-\frac{21\,a^5\,b^2}{e^2}+\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{35\,a^3\,b^4}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e}-\frac{21\,a^2\,b^5}{e^2}+\frac{b^7\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{7\,a\,b^6}{e^2}-\frac{2\,b^7\,d}{e^3}\right)}{e^2}\right)}{e}+\frac{35\,a^4\,b^3}{e^2}\right)}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(7\,a^6\,b\,e^6-42\,a^5\,b^2\,d\,e^5+105\,a^4\,b^3\,d^2\,e^4-140\,a^3\,b^4\,d^3\,e^3+105\,a^2\,b^5\,d^4\,e^2-42\,a\,b^6\,d^5\,e+7\,b^7\,d^6\right)}{e^8}-\frac{a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7}{e\,\left(x\,e^8+d\,e^7\right)}+\frac{b^7\,x^6}{6\,e^2}","Not used",1,"x^5*((7*a*b^6)/(5*e^2) - (2*b^7*d)/(5*e^3)) + x^2*((d^2*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/(2*e^2) - (d*((35*a^3*b^4)/e^2 + (2*d*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/e - (d^2*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e^2))/e + (35*a^4*b^3)/(2*e^2)) - x^4*((d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/(2*e) - (21*a^2*b^5)/(4*e^2) + (b^7*d^2)/(4*e^4)) + x^3*((35*a^3*b^4)/(3*e^2) + (2*d*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/(3*e) - (d^2*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/(3*e^2)) - x*((d^2*((35*a^3*b^4)/e^2 + (2*d*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/e - (d^2*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e^2))/e^2 - (21*a^5*b^2)/e^2 + (2*d*((d^2*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/e^2 - (2*d*((35*a^3*b^4)/e^2 + (2*d*((2*d*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e - (21*a^2*b^5)/e^2 + (b^7*d^2)/e^4))/e - (d^2*((7*a*b^6)/e^2 - (2*b^7*d)/e^3))/e^2))/e + (35*a^4*b^3)/e^2))/e) + (log(d + e*x)*(7*b^7*d^6 + 7*a^6*b*e^6 - 42*a^5*b^2*d*e^5 + 105*a^2*b^5*d^4*e^2 - 140*a^3*b^4*d^3*e^3 + 105*a^4*b^3*d^2*e^4 - 42*a*b^6*d^5*e))/e^8 - (a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)/(e*(d*e^7 + e^8*x)) + (b^7*x^6)/(6*e^2)","B"
1925,1,690,185,2.024637,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^3,x)","x^4\,\left(\frac{7\,a\,b^6}{4\,e^3}-\frac{3\,b^7\,d}{4\,e^4}\right)-x^3\,\left(\frac{d\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e}-\frac{7\,a^2\,b^5}{e^3}+\frac{b^7\,d^2}{e^5}\right)+x^2\,\left(\frac{35\,a^3\,b^4}{2\,e^3}-\frac{b^7\,d^3}{2\,e^6}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e}-\frac{21\,a^2\,b^5}{e^3}+\frac{3\,b^7\,d^2}{e^5}\right)}{2\,e}-\frac{3\,d^2\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{2\,e^2}\right)+x\,\left(\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e}-\frac{21\,a^2\,b^5}{e^3}+\frac{3\,b^7\,d^2}{e^5}\right)}{e^2}+\frac{35\,a^4\,b^3}{e^3}-\frac{3\,d\,\left(\frac{35\,a^3\,b^4}{e^3}-\frac{b^7\,d^3}{e^6}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e}-\frac{21\,a^2\,b^5}{e^3}+\frac{3\,b^7\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e^2}\right)}{e}-\frac{d^3\,\left(\frac{7\,a\,b^6}{e^3}-\frac{3\,b^7\,d}{e^4}\right)}{e^3}\right)-\frac{\frac{a^7\,e^7+7\,a^6\,b\,d\,e^6-63\,a^5\,b^2\,d^2\,e^5+175\,a^4\,b^3\,d^3\,e^4-245\,a^3\,b^4\,d^4\,e^3+189\,a^2\,b^5\,d^5\,e^2-77\,a\,b^6\,d^6\,e+13\,b^7\,d^7}{2\,e}+x\,\left(7\,a^6\,b\,e^6-42\,a^5\,b^2\,d\,e^5+105\,a^4\,b^3\,d^2\,e^4-140\,a^3\,b^4\,d^3\,e^3+105\,a^2\,b^5\,d^4\,e^2-42\,a\,b^6\,d^5\,e+7\,b^7\,d^6\right)}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}-\frac{\ln\left(d+e\,x\right)\,\left(-21\,a^5\,b^2\,e^5+105\,a^4\,b^3\,d\,e^4-210\,a^3\,b^4\,d^2\,e^3+210\,a^2\,b^5\,d^3\,e^2-105\,a\,b^6\,d^4\,e+21\,b^7\,d^5\right)}{e^8}+\frac{b^7\,x^5}{5\,e^3}","Not used",1,"x^4*((7*a*b^6)/(4*e^3) - (3*b^7*d)/(4*e^4)) - x^3*((d*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e - (7*a^2*b^5)/e^3 + (b^7*d^2)/e^5) + x^2*((35*a^3*b^4)/(2*e^3) - (b^7*d^3)/(2*e^6) + (3*d*((3*d*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e - (21*a^2*b^5)/e^3 + (3*b^7*d^2)/e^5))/(2*e) - (3*d^2*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/(2*e^2)) + x*((3*d^2*((3*d*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e - (21*a^2*b^5)/e^3 + (3*b^7*d^2)/e^5))/e^2 + (35*a^4*b^3)/e^3 - (3*d*((35*a^3*b^4)/e^3 - (b^7*d^3)/e^6 + (3*d*((3*d*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e - (21*a^2*b^5)/e^3 + (3*b^7*d^2)/e^5))/e - (3*d^2*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e^2))/e - (d^3*((7*a*b^6)/e^3 - (3*b^7*d)/e^4))/e^3) - ((a^7*e^7 + 13*b^7*d^7 + 189*a^2*b^5*d^5*e^2 - 245*a^3*b^4*d^4*e^3 + 175*a^4*b^3*d^3*e^4 - 63*a^5*b^2*d^2*e^5 - 77*a*b^6*d^6*e + 7*a^6*b*d*e^6)/(2*e) + x*(7*b^7*d^6 + 7*a^6*b*e^6 - 42*a^5*b^2*d*e^5 + 105*a^2*b^5*d^4*e^2 - 140*a^3*b^4*d^3*e^3 + 105*a^4*b^3*d^2*e^4 - 42*a*b^6*d^5*e))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) - (log(d + e*x)*(21*b^7*d^5 - 21*a^5*b^2*e^5 + 105*a^4*b^3*d*e^4 + 210*a^2*b^5*d^3*e^2 - 210*a^3*b^4*d^2*e^3 - 105*a*b^6*d^4*e))/e^8 + (b^7*x^5)/(5*e^3)","B"
1926,1,558,187,2.120215,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^4,x)","x\,\left(\frac{35\,a^3\,b^4}{e^4}-\frac{4\,b^7\,d^3}{e^7}+\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{7\,a\,b^6}{e^4}-\frac{4\,b^7\,d}{e^5}\right)}{e}-\frac{21\,a^2\,b^5}{e^4}+\frac{6\,b^7\,d^2}{e^6}\right)}{e}-\frac{6\,d^2\,\left(\frac{7\,a\,b^6}{e^4}-\frac{4\,b^7\,d}{e^5}\right)}{e^2}\right)-\frac{\frac{2\,a^7\,e^7+7\,a^6\,b\,d\,e^6+42\,a^5\,b^2\,d^2\,e^5-385\,a^4\,b^3\,d^3\,e^4+910\,a^3\,b^4\,d^4\,e^3-987\,a^2\,b^5\,d^5\,e^2+518\,a\,b^6\,d^6\,e-107\,b^7\,d^7}{6\,e}+x\,\left(\frac{7\,a^6\,b\,e^6}{2}+21\,a^5\,b^2\,d\,e^5-\frac{315\,a^4\,b^3\,d^2\,e^4}{2}+350\,a^3\,b^4\,d^3\,e^3-\frac{735\,a^2\,b^5\,d^4\,e^2}{2}+189\,a\,b^6\,d^5\,e-\frac{77\,b^7\,d^6}{2}\right)-x^2\,\left(-21\,a^5\,b^2\,e^6+105\,a^4\,b^3\,d\,e^5-210\,a^3\,b^4\,d^2\,e^4+210\,a^2\,b^5\,d^3\,e^3-105\,a\,b^6\,d^4\,e^2+21\,b^7\,d^5\,e\right)}{d^3\,e^7+3\,d^2\,e^8\,x+3\,d\,e^9\,x^2+e^{10}\,x^3}+x^3\,\left(\frac{7\,a\,b^6}{3\,e^4}-\frac{4\,b^7\,d}{3\,e^5}\right)-x^2\,\left(\frac{2\,d\,\left(\frac{7\,a\,b^6}{e^4}-\frac{4\,b^7\,d}{e^5}\right)}{e}-\frac{21\,a^2\,b^5}{2\,e^4}+\frac{3\,b^7\,d^2}{e^6}\right)+\frac{\ln\left(d+e\,x\right)\,\left(35\,a^4\,b^3\,e^4-140\,a^3\,b^4\,d\,e^3+210\,a^2\,b^5\,d^2\,e^2-140\,a\,b^6\,d^3\,e+35\,b^7\,d^4\right)}{e^8}+\frac{b^7\,x^4}{4\,e^4}","Not used",1,"x*((35*a^3*b^4)/e^4 - (4*b^7*d^3)/e^7 + (4*d*((4*d*((7*a*b^6)/e^4 - (4*b^7*d)/e^5))/e - (21*a^2*b^5)/e^4 + (6*b^7*d^2)/e^6))/e - (6*d^2*((7*a*b^6)/e^4 - (4*b^7*d)/e^5))/e^2) - ((2*a^7*e^7 - 107*b^7*d^7 - 987*a^2*b^5*d^5*e^2 + 910*a^3*b^4*d^4*e^3 - 385*a^4*b^3*d^3*e^4 + 42*a^5*b^2*d^2*e^5 + 518*a*b^6*d^6*e + 7*a^6*b*d*e^6)/(6*e) + x*((7*a^6*b*e^6)/2 - (77*b^7*d^6)/2 + 21*a^5*b^2*d*e^5 - (735*a^2*b^5*d^4*e^2)/2 + 350*a^3*b^4*d^3*e^3 - (315*a^4*b^3*d^2*e^4)/2 + 189*a*b^6*d^5*e) - x^2*(21*b^7*d^5*e - 21*a^5*b^2*e^6 - 105*a*b^6*d^4*e^2 + 105*a^4*b^3*d*e^5 + 210*a^2*b^5*d^3*e^3 - 210*a^3*b^4*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^3*((7*a*b^6)/(3*e^4) - (4*b^7*d)/(3*e^5)) - x^2*((2*d*((7*a*b^6)/e^4 - (4*b^7*d)/e^5))/e - (21*a^2*b^5)/(2*e^4) + (3*b^7*d^2)/e^6) + (log(d + e*x)*(35*b^7*d^4 + 35*a^4*b^3*e^4 - 140*a^3*b^4*d*e^3 + 210*a^2*b^5*d^2*e^2 - 140*a*b^6*d^3*e))/e^8 + (b^7*x^4)/(4*e^4)","B"
1927,1,188,97,0.053488,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x),x)","x\,\left(\frac{4\,d^3\,e}{b}-\frac{a\,\left(\frac{a\,\left(\frac{a\,e^4}{b^2}-\frac{4\,d\,e^3}{b}\right)}{b}+\frac{6\,d^2\,e^2}{b}\right)}{b}\right)-x^3\,\left(\frac{a\,e^4}{3\,b^2}-\frac{4\,d\,e^3}{3\,b}\right)+x^2\,\left(\frac{a\,\left(\frac{a\,e^4}{b^2}-\frac{4\,d\,e^3}{b}\right)}{2\,b}+\frac{3\,d^2\,e^2}{b}\right)+\frac{\ln\left(a+b\,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)}{b^5}+\frac{e^4\,x^4}{4\,b}","Not used",1,"x*((4*d^3*e)/b - (a*((a*((a*e^4)/b^2 - (4*d*e^3)/b))/b + (6*d^2*e^2)/b))/b) - x^3*((a*e^4)/(3*b^2) - (4*d*e^3)/(3*b)) + x^2*((a*((a*e^4)/b^2 - (4*d*e^3)/b))/(2*b) + (3*d^2*e^2)/b) + (log(a + b*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))/b^5 + (e^4*x^4)/(4*b)","B"
1928,1,118,73,1.989477,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x),x)","x\,\left(\frac{3\,d^2\,e}{b}+\frac{a\,\left(\frac{a\,e^3}{b^2}-\frac{3\,d\,e^2}{b}\right)}{b}\right)-x^2\,\left(\frac{a\,e^3}{2\,b^2}-\frac{3\,d\,e^2}{2\,b}\right)-\frac{\ln\left(a+b\,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)}{b^4}+\frac{e^3\,x^3}{3\,b}","Not used",1,"x*((3*d^2*e)/b + (a*((a*e^3)/b^2 - (3*d*e^2)/b))/b) - x^2*((a*e^3)/(2*b^2) - (3*d*e^2)/(2*b)) - (log(a + b*x)*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2))/b^4 + (e^3*x^3)/(3*b)","B"
1929,1,62,49,0.065906,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{\ln\left(a+b\,x\right)\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{b^3}-x\,\left(\frac{a\,e^2}{b^2}-\frac{2\,d\,e}{b}\right)+\frac{e^2\,x^2}{2\,b}","Not used",1,"(log(a + b*x)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/b^3 - x*((a*e^2)/b^2 - (2*d*e)/b) + (e^2*x^2)/(2*b)","B"
1930,1,26,25,0.044186,"\text{Not used}","int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{e\,x}{b}-\frac{\ln\left(a+b\,x\right)\,\left(a\,e-b\,d\right)}{b^2}","Not used",1,"(e*x)/b - (log(a + b*x)*(a*e - b*d))/b^2","B"
1931,1,10,10,0.022832,"\text{Not used}","int((a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{\ln\left(a+b\,x\right)}{b}","Not used",1,"log(a + b*x)/b","B"
1932,1,40,36,0.084355,"\text{Not used}","int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{\mathrm{atan}\left(\frac{b\,d\,2{}\mathrm{i}+b\,e\,x\,2{}\mathrm{i}}{a\,e-b\,d}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,e-b\,d}","Not used",1,"(atan((b*d*2i + b*e*x*2i)/(a*e - b*d) + 1i)*2i)/(a*e - b*d)","B"
1933,1,77,56,2.319729,"\text{Not used}","int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{2\,b\,\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)}^2}-\frac{1}{\left(a\,e-b\,d\right)\,\left(d+e\,x\right)}","Not used",1,"(2*b*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)^2 - 1/((a*e - b*d)*(d + e*x))","B"
1934,1,183,82,2.255594,"\text{Not used}","int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)),x)","-\frac{\frac{a\,e-3\,b\,d}{2\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}-\frac{b\,e\,x}{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^2\,\mathrm{atanh}\left(\frac{a^3\,e^3-a^2\,b\,d\,e^2-a\,b^2\,d^2\,e+b^3\,d^3}{{\left(a\,e-b\,d\right)}^3}+\frac{2\,b\,e\,x\,\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)}^3}","Not used",1,"- ((a*e - 3*b*d)/(2*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) - (b*e*x)/(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^2*atanh((a^3*e^3 + b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2)/(a*e - b*d)^3 + (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)^3","B"
1935,1,313,106,0.215362,"\text{Not used}","int((a + b*x)/((d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{2\,b^3\,\mathrm{atanh}\left(\frac{a^4\,e^4-2\,a^3\,b\,d\,e^3+2\,a\,b^3\,d^3\,e-b^4\,d^4}{{\left(a\,e-b\,d\right)}^4}+\frac{2\,b\,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)}^4}\right)}{{\left(a\,e-b\,d\right)}^4}-\frac{\frac{2\,a^2\,e^2-7\,a\,b\,d\,e+11\,b^2\,d^2}{6\,\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\,x\,\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^2\,e^2\,x^2}{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^3*atanh((a^4*e^4 - b^4*d^4 + 2*a*b^3*d^3*e - 2*a^3*b*d*e^3)/(a*e - b*d)^4 + (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*e - b*d)^4 - ((2*a^2*e^2 + 11*b^2*d^2 - 7*a*b*d*e)/(6*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) - (b*x*(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^2*e^2*x^2)/(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"
1936,1,197,102,0.102804,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{e^4\,x^2}{2\,b^3}-x\,\left(\frac{3\,a\,e^4}{b^4}-\frac{4\,d\,e^3}{b^3}\right)-\frac{\frac{-7\,a^4\,e^4+20\,a^3\,b\,d\,e^3-18\,a^2\,b^2\,d^2\,e^2+4\,a\,b^3\,d^3\,e+b^4\,d^4}{2\,b}-x\,\left(4\,a^3\,e^4-12\,a^2\,b\,d\,e^3+12\,a\,b^2\,d^2\,e^2-4\,b^3\,d^3\,e\right)}{a^2\,b^4+2\,a\,b^5\,x+b^6\,x^2}+\frac{\ln\left(a+b\,x\right)\,\left(6\,a^2\,e^4-12\,a\,b\,d\,e^3+6\,b^2\,d^2\,e^2\right)}{b^5}","Not used",1,"(e^4*x^2)/(2*b^3) - x*((3*a*e^4)/b^4 - (4*d*e^3)/b^3) - ((b^4*d^4 - 7*a^4*e^4 - 18*a^2*b^2*d^2*e^2 + 4*a*b^3*d^3*e + 20*a^3*b*d*e^3)/(2*b) - x*(4*a^3*e^4 - 4*b^3*d^3*e + 12*a*b^2*d^2*e^2 - 12*a^2*b*d*e^3))/(a^2*b^4 + b^6*x^2 + 2*a*b^5*x) + (log(a + b*x)*(6*a^2*e^4 + 6*b^2*d^2*e^2 - 12*a*b*d*e^3))/b^5","B"
1937,1,130,78,0.098799,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{e^3\,x}{b^3}-\frac{\ln\left(a+b\,x\right)\,\left(3\,a\,e^3-3\,b\,d\,e^2\right)}{b^4}-\frac{\frac{5\,a^3\,e^3-9\,a^2\,b\,d\,e^2+3\,a\,b^2\,d^2\,e+b^3\,d^3}{2\,b}+x\,\left(3\,a^2\,e^3-6\,a\,b\,d\,e^2+3\,b^2\,d^2\,e\right)}{a^2\,b^3+2\,a\,b^4\,x+b^5\,x^2}","Not used",1,"(e^3*x)/b^3 - (log(a + b*x)*(3*a*e^3 - 3*b*d*e^2))/b^4 - ((5*a^3*e^3 + b^3*d^3 + 3*a*b^2*d^2*e - 9*a^2*b*d*e^2)/(2*b) + x*(3*a^2*e^3 + 3*b^2*d^2*e - 6*a*b*d*e^2))/(a^2*b^3 + b^5*x^2 + 2*a*b^4*x)","B"
1938,1,77,59,0.068638,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{e^2\,\ln\left(a+b\,x\right)}{b^3}-\frac{\frac{-3\,a^2\,e^2+2\,a\,b\,d\,e+b^2\,d^2}{2\,b^3}-\frac{2\,e\,x\,\left(a\,e-b\,d\right)}{b^2}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"(e^2*log(a + b*x))/b^3 - ((b^2*d^2 - 3*a^2*e^2 + 2*a*b*d*e)/(2*b^3) - (2*e*x*(a*e - b*d))/b^2)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1939,1,39,28,2.006498,"\text{Not used}","int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{\frac{a\,e+b\,d}{2\,b^2}+\frac{e\,x}{b}}{a^2+2\,a\,b\,x+b^2\,x^2}","Not used",1,"-((a*e + b*d)/(2*b^2) + (e*x)/b)/(a^2 + b^2*x^2 + 2*a*b*x)","B"
1940,1,26,14,0.027978,"\text{Not used}","int((a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","-\frac{1}{2\,a^2\,b+4\,a\,b^2\,x+2\,b^3\,x^2}","Not used",1,"-1/(2*a^2*b + 2*b^3*x^2 + 4*a*b^2*x)","B"
1941,1,182,82,2.156525,"\text{Not used}","int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{3\,a\,e-b\,d}{2\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}+\frac{b\,e\,x}{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^2\,\mathrm{atanh}\left(\frac{a^3\,e^3-a^2\,b\,d\,e^2-a\,b^2\,d^2\,e+b^3\,d^3}{{\left(a\,e-b\,d\right)}^3}+\frac{2\,b\,e\,x\,\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)}^3}","Not used",1,"((3*a*e - b*d)/(2*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e)) + (b*e*x)/(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^2*atanh((a^3*e^3 + b^3*d^3 - a*b^2*d^2*e - a^2*b*d*e^2)/(a*e - b*d)^3 + (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)^3","B"
1942,1,330,109,2.209528,"\text{Not used}","int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{6\,b\,e^2\,\mathrm{atanh}\left(\frac{a^4\,e^4-2\,a^3\,b\,d\,e^3+2\,a\,b^3\,d^3\,e-b^4\,d^4}{{\left(a\,e-b\,d\right)}^4}+\frac{2\,b\,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)}^4}\right)}{{\left(a\,e-b\,d\right)}^4}-\frac{\frac{2\,a^2\,e^2+5\,a\,b\,d\,e-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{3\,e\,x\,\left(d\,b^2+3\,a\,e\,b\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{3\,b^2\,e^2\,x^2}{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}","Not used",1,"(6*b*e^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*e - b*d)^4 + (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*e - b*d)^4 - ((2*a^2*e^2 - b^2*d^2 + 5*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)) + (3*e*x*(b^2*d + 3*a*b*e))/(2*(a^3*e^3 - b^3*d^3 + 3*a*b^2*d^2*e - 3*a^2*b*d*e^2)) + (3*b^2*e^2*x^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^2*e + 2*a*b*d) + a^2*d + x^2*(b^2*d + 2*a*b*e) + b^2*e*x^3)","B"
1943,1,542,143,2.341625,"\text{Not used}","int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{6\,b^3\,e^3\,x^3}{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{a^3\,e^3-7\,a^2\,b\,d\,e^2-7\,a\,b^2\,d^2\,e+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\,b\,e\,x^2\,\left(d\,b^2\,e+a\,b\,e^2\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{2\,b\,e\,x\,\left(a^2\,e^2+7\,a\,b\,d\,e+b^2\,d^2\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}-\frac{12\,b^2\,e^2\,\mathrm{atanh}\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}{{\left(a\,e-b\,d\right)}^5}+\frac{2\,b\,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)}^5}\right)}{{\left(a\,e-b\,d\right)}^5}","Not used",1,"((6*b^3*e^3*x^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) - (a^3*e^3 + b^3*d^3 - 7*a*b^2*d^2*e - 7*a^2*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)) + (9*b*e*x^2*(a*b*e^2 + b^2*d*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) + (2*b*e*x*(a^2*e^2 + b^2*d^2 + 7*a*b*d*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*(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) - (12*b^2*e^2*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*e - b*d)^5 + (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*e - b*d)^5","B"
1944,1,798,170,2.583378,"\text{Not used}","int((a + b*x)/((d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{20\,b^3\,e^2\,\mathrm{atanh}\left(\frac{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}{{\left(a\,e-b\,d\right)}^6}+\frac{2\,b\,e\,x\,\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}\right)}{{\left(a\,e-b\,d\right)}^6}-\frac{\frac{2\,a^4\,e^4-13\,a^3\,b\,d\,e^3+47\,a^2\,b^2\,d^2\,e^2+27\,a\,b^3\,d^3\,e-3\,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{5\,b\,x\,\left(-a^3\,e^4+11\,a^2\,b\,d\,e^3+35\,a\,b^2\,d^2\,e^2+3\,b^3\,d^3\,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)}+\frac{10\,b^4\,e^4\,x^4}{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{5\,b^2\,x^2\,\left(2\,a^2\,e^4+23\,a\,b\,d\,e^3+11\,b^2\,d^2\,e^2\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)}+\frac{5\,b^2\,e\,x^3\,\left(5\,d\,b^2\,e^2+3\,a\,b\,e^3\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}}{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}","Not used",1,"(20*b^3*e^2*atanh((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 + (2*b*e*x*(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))/(a*e - b*d)^6 - ((2*a^4*e^4 - 3*b^4*d^4 + 47*a^2*b^2*d^2*e^2 + 27*a*b^3*d^3*e - 13*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)) + (5*b*x*(3*b^3*d^3*e - a^3*e^4 + 35*a*b^2*d^2*e^2 + 11*a^2*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)) + (10*b^4*e^4*x^4)/(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) + (5*b^2*x^2*(2*a^2*e^4 + 11*b^2*d^2*e^2 + 23*a*b*d*e^3))/(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)) + (5*b^2*e*x^3*(5*b^2*d*e^2 + 3*a*b*e^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)","B"
1945,1,213,111,2.085608,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{e^4\,\ln\left(a+b\,x\right)}{b^5}-\frac{\frac{-25\,a^4\,e^4+12\,a^3\,b\,d\,e^3+6\,a^2\,b^2\,d^2\,e^2+4\,a\,b^3\,d^3\,e+3\,b^4\,d^4}{12\,b^5}+\frac{3\,x^2\,\left(-3\,a^2\,e^4+2\,a\,b\,d\,e^3+b^2\,d^2\,e^2\right)}{b^3}+\frac{2\,x\,\left(-11\,a^3\,e^4+6\,a^2\,b\,d\,e^3+3\,a\,b^2\,d^2\,e^2+2\,b^3\,d^3\,e\right)}{3\,b^4}-\frac{4\,e^3\,x^3\,\left(a\,e-b\,d\right)}{b^2}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"(e^4*log(a + b*x))/b^5 - ((3*b^4*d^4 - 25*a^4*e^4 + 6*a^2*b^2*d^2*e^2 + 4*a*b^3*d^3*e + 12*a^3*b*d*e^3)/(12*b^5) + (3*x^2*(b^2*d^2*e^2 - 3*a^2*e^4 + 2*a*b*d*e^3))/b^3 + (2*x*(2*b^3*d^3*e - 11*a^3*e^4 + 3*a*b^2*d^2*e^2 + 6*a^2*b*d*e^3))/(3*b^4) - (4*e^3*x^3*(a*e - b*d))/b^2)/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1946,1,135,28,0.055258,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{a^3\,e^3+a^2\,b\,d\,e^2+a\,b^2\,d^2\,e+b^3\,d^3}{4\,b^4}+\frac{e^3\,x^3}{b}+\frac{e\,x\,\left(a^2\,e^2+a\,b\,d\,e+b^2\,d^2\right)}{b^3}+\frac{3\,e^2\,x^2\,\left(a\,e+b\,d\right)}{2\,b^2}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"-((a^3*e^3 + b^3*d^3 + a*b^2*d^2*e + a^2*b*d*e^2)/(4*b^4) + (e^3*x^3)/b + (e*x*(a^2*e^2 + b^2*d^2 + a*b*d*e))/b^3 + (3*e^2*x^2*(a*e + b*d))/(2*b^2))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1947,1,96,65,0.041725,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{a^2\,e^2+2\,a\,b\,d\,e+3\,b^2\,d^2}{12\,b^3}+\frac{e^2\,x^2}{2\,b}+\frac{e\,x\,\left(a\,e+2\,b\,d\right)}{3\,b^2}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"-((a^2*e^2 + 3*b^2*d^2 + 2*a*b*d*e)/(12*b^3) + (e^2*x^2)/(2*b) + (e*x*(a*e + 2*b*d))/(3*b^2))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1948,1,63,38,2.008604,"\text{Not used}","int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{\frac{a\,e+3\,b\,d}{12\,b^2}+\frac{e\,x}{3\,b}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}","Not used",1,"-((a*e + 3*b*d)/(12*b^2) + (e*x)/(3*b))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x)","B"
1949,1,48,14,1.991947,"\text{Not used}","int((a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{1}{4\,a^4\,b+16\,a^3\,b^2\,x+24\,a^2\,b^3\,x^2+16\,a\,b^4\,x^3+4\,b^5\,x^4}","Not used",1,"-1/(4*a^4*b + 4*b^5*x^4 + 16*a^3*b^2*x + 16*a*b^4*x^3 + 24*a^2*b^3*x^2)","B"
1950,1,505,130,2.268063,"\text{Not used}","int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{25\,a^3\,e^3-23\,a^2\,b\,d\,e^2+13\,a\,b^2\,d^2\,e-3\,b^3\,d^3}{12\,\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^3\,e^3\,x^3}{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{e^2\,x^2\,\left(b^3\,d-7\,a\,b^2\,e\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{e\,x\,\left(13\,a^2\,b\,e^2-5\,a\,b^2\,d\,e+b^3\,d^2\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)}}{a^4+4\,a^3\,b\,x+6\,a^2\,b^2\,x^2+4\,a\,b^3\,x^3+b^4\,x^4}-\frac{2\,e^4\,\mathrm{atanh}\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}{{\left(a\,e-b\,d\right)}^5}+\frac{2\,b\,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)}^5}\right)}{{\left(a\,e-b\,d\right)}^5}","Not used",1,"((25*a^3*e^3 - 3*b^3*d^3 + 13*a*b^2*d^2*e - 23*a^2*b*d*e^2)/(12*(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^3*e^3*x^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) - (e^2*x^2*(b^3*d - 7*a*b^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)) + (e*x*(b^3*d^2 + 13*a^2*b*e^2 - 5*a*b^2*d*e))/(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)))/(a^4 + b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x) - (2*e^4*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*e - b*d)^5 + (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*e - b*d)^5","B"
1951,1,763,159,0.516976,"\text{Not used}","int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{10\,b\,e^4\,\mathrm{atanh}\left(\frac{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}{{\left(a\,e-b\,d\right)}^6}+\frac{2\,b\,e\,x\,\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}\right)}{{\left(a\,e-b\,d\right)}^6}-\frac{\frac{12\,a^4\,e^4+77\,a^3\,b\,d\,e^3-43\,a^2\,b^2\,d^2\,e^2+17\,a\,b^3\,d^3\,e-3\,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{5\,e\,x\,\left(25\,a^3\,b\,e^3+29\,a^2\,b^2\,d\,e^2-7\,a\,b^3\,d^2\,e+b^4\,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{5\,b^4\,e^4\,x^4}{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{5\,e^3\,x^3\,\left(d\,b^4+7\,a\,e\,b^3\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{5\,e^2\,x^2\,\left(26\,a^2\,b^2\,e^2+11\,a\,b^3\,d\,e-b^4\,d^2\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(d\,b^4+4\,a\,e\,b^3\right)+a^4\,d+x\,\left(e\,a^4+4\,b\,d\,a^3\right)+x^2\,\left(4\,e\,a^3\,b+6\,d\,a^2\,b^2\right)+x^3\,\left(6\,e\,a^2\,b^2+4\,d\,a\,b^3\right)+b^4\,e\,x^5}","Not used",1,"(10*b*e^4*atanh((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 + (2*b*e*x*(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))/(a*e - b*d)^6 - ((12*a^4*e^4 - 3*b^4*d^4 - 43*a^2*b^2*d^2*e^2 + 17*a*b^3*d^3*e + 77*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)) + (5*e*x*(b^4*d^3 + 25*a^3*b*e^3 + 29*a^2*b^2*d*e^2 - 7*a*b^3*d^2*e))/(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)) + (5*b^4*e^4*x^4)/(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) + (5*e^3*x^3*(b^4*d + 7*a*b^3*e))/(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)) + (5*e^2*x^2*(26*a^2*b^2*e^2 - b^4*d^2 + 11*a*b^3*d*e))/(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*(b^4*d + 4*a*b^3*e) + a^4*d + x*(a^4*e + 4*a^3*b*d) + x^2*(6*a^2*b^2*d + 4*a^3*b*e) + x^3*(6*a^2*b^2*e + 4*a*b^3*d) + b^4*e*x^5)","B"
1952,1,1098,192,2.691897,"\text{Not used}","int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{5\,e^3\,x^3\,\left(13\,a^2\,b^3\,e^2+16\,a\,b^4\,d\,e+b^5\,d^2\right)}{a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6}-\frac{2\,a^5\,e^5-22\,a^4\,b\,d\,e^4-57\,a^3\,b^2\,d^2\,e^3+23\,a^2\,b^3\,d^3\,e^2-7\,a\,b^4\,d^4\,e+b^5\,d^5}{4\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}+\frac{5\,e^2\,x^2\,\left(25\,a^3\,b^2\,e^3+81\,a^2\,b^3\,d\,e^2+15\,a\,b^4\,d^2\,e-b^5\,d^3\right)}{4\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}+\frac{15\,b^5\,e^5\,x^5}{a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6}+\frac{e\,x\,\left(6\,a^4\,b\,e^4+101\,a^3\,b^2\,d\,e^3+51\,a^2\,b^3\,d^2\,e^2-9\,a\,b^4\,d^3\,e+b^5\,d^4\right)}{2\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}+\frac{15\,b\,e^3\,x^4\,\left(3\,d\,b^4\,e+7\,a\,b^3\,e^2\right)}{2\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}}{x\,\left(2\,e\,a^4\,d+4\,b\,a^3\,d^2\right)+x^2\,\left(a^4\,e^2+8\,a^3\,b\,d\,e+6\,a^2\,b^2\,d^2\right)+x^4\,\left(6\,a^2\,b^2\,e^2+8\,a\,b^3\,d\,e+b^4\,d^2\right)+x^5\,\left(2\,d\,b^4\,e+4\,a\,b^3\,e^2\right)+x^3\,\left(4\,a^3\,b\,e^2+12\,a^2\,b^2\,d\,e+4\,a\,b^3\,d^2\right)+a^4\,d^2+b^4\,e^2\,x^6}-\frac{30\,b^2\,e^4\,\mathrm{atanh}\left(\frac{a^7\,e^7-5\,a^6\,b\,d\,e^6+9\,a^5\,b^2\,d^2\,e^5-5\,a^4\,b^3\,d^3\,e^4-5\,a^3\,b^4\,d^4\,e^3+9\,a^2\,b^5\,d^5\,e^2-5\,a\,b^6\,d^6\,e+b^7\,d^7}{{\left(a\,e-b\,d\right)}^7}+\frac{2\,b\,e\,x\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}{{\left(a\,e-b\,d\right)}^7}\right)}{{\left(a\,e-b\,d\right)}^7}","Not used",1,"((5*e^3*x^3*(b^5*d^2 + 13*a^2*b^3*e^2 + 16*a*b^4*d*e))/(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5) - (2*a^5*e^5 + b^5*d^5 + 23*a^2*b^3*d^3*e^2 - 57*a^3*b^2*d^2*e^3 - 7*a*b^4*d^4*e - 22*a^4*b*d*e^4)/(4*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5)) + (5*e^2*x^2*(25*a^3*b^2*e^3 - b^5*d^3 + 81*a^2*b^3*d*e^2 + 15*a*b^4*d^2*e))/(4*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5)) + (15*b^5*e^5*x^5)/(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5) + (e*x*(b^5*d^4 + 6*a^4*b*e^4 + 101*a^3*b^2*d*e^3 + 51*a^2*b^3*d^2*e^2 - 9*a*b^4*d^3*e))/(2*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5)) + (15*b*e^3*x^4*(7*a*b^3*e^2 + 3*b^4*d*e))/(2*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5)))/(x*(4*a^3*b*d^2 + 2*a^4*d*e) + x^2*(a^4*e^2 + 6*a^2*b^2*d^2 + 8*a^3*b*d*e) + x^4*(b^4*d^2 + 6*a^2*b^2*e^2 + 8*a*b^3*d*e) + x^5*(4*a*b^3*e^2 + 2*b^4*d*e) + x^3*(4*a*b^3*d^2 + 4*a^3*b*e^2 + 12*a^2*b^2*d*e) + a^4*d^2 + b^4*e^2*x^6) - (30*b^2*e^4*atanh((a^7*e^7 + b^7*d^7 + 9*a^2*b^5*d^5*e^2 - 5*a^3*b^4*d^4*e^3 - 5*a^4*b^3*d^3*e^4 + 9*a^5*b^2*d^2*e^5 - 5*a*b^6*d^6*e - 5*a^6*b*d*e^6)/(a*e - b*d)^7 + (2*b*e*x*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5))/(a*e - b*d)^7))/(a*e - b*d)^7","B"
1953,1,1469,222,3.015946,"\text{Not used}","int((a + b*x)/((d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{70\,b^3\,e^4\,\mathrm{atanh}\left(\frac{a^8\,e^8-6\,a^7\,b\,d\,e^7+14\,a^6\,b^2\,d^2\,e^6-14\,a^5\,b^3\,d^3\,e^5+14\,a^3\,b^5\,d^5\,e^3-14\,a^2\,b^6\,d^6\,e^2+6\,a\,b^7\,d^7\,e-b^8\,d^8}{{\left(a\,e-b\,d\right)}^8}+\frac{2\,b\,e\,x\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}{{\left(a\,e-b\,d\right)}^8}\right)}{{\left(a\,e-b\,d\right)}^8}-\frac{\frac{4\,a^6\,e^6-38\,a^5\,b\,d\,e^5+214\,a^4\,b^2\,d^2\,e^4+319\,a^3\,b^3\,d^3\,e^3-101\,a^2\,b^4\,d^4\,e^2+25\,a\,b^5\,d^5\,e-3\,b^6\,d^6}{12\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}+\frac{35\,b^6\,e^6\,x^6}{a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7}+\frac{7\,e^2\,x^2\,\left(4\,a^4\,b^2\,e^4+109\,a^3\,b^3\,d\,e^3+169\,a^2\,b^4\,d^2\,e^2+19\,a\,b^5\,d^3\,e-b^6\,d^4\right)}{4\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}+\frac{7\,e\,x\,\left(-2\,a^5\,b\,e^5+34\,a^4\,b^2\,d\,e^4+259\,a^3\,b^3\,d^2\,e^3+79\,a^2\,b^4\,d^3\,e^2-11\,a\,b^5\,d^4\,e+b^6\,d^5\right)}{12\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}+\frac{35\,e^2\,x^3\,\left(25\,a^3\,b^3\,e^4+133\,a^2\,b^4\,d\,e^3+79\,a\,b^5\,d^2\,e^2+3\,b^6\,d^3\,e\right)}{12\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}+\frac{35\,b^2\,e^3\,x^5\,\left(5\,d\,b^4\,e^2+7\,a\,b^3\,e^3\right)}{2\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}+\frac{35\,b\,e^2\,x^4\,\left(26\,a^2\,b^3\,e^4+53\,a\,b^4\,d\,e^3+11\,b^5\,d^2\,e^2\right)}{6\,\left(a^7\,e^7-7\,a^6\,b\,d\,e^6+21\,a^5\,b^2\,d^2\,e^5-35\,a^4\,b^3\,d^3\,e^4+35\,a^3\,b^4\,d^4\,e^3-21\,a^2\,b^5\,d^5\,e^2+7\,a\,b^6\,d^6\,e-b^7\,d^7\right)}}{x^6\,\left(3\,d\,b^4\,e^2+4\,a\,b^3\,e^3\right)+x^2\,\left(3\,a^4\,d\,e^2+12\,a^3\,b\,d^2\,e+6\,a^2\,b^2\,d^3\right)+x^5\,\left(6\,a^2\,b^2\,e^3+12\,a\,b^3\,d\,e^2+3\,b^4\,d^2\,e\right)+x^3\,\left(a^4\,e^3+12\,a^3\,b\,d\,e^2+18\,a^2\,b^2\,d^2\,e+4\,a\,b^3\,d^3\right)+x^4\,\left(4\,a^3\,b\,e^3+18\,a^2\,b^2\,d\,e^2+12\,a\,b^3\,d^2\,e+b^4\,d^3\right)+x\,\left(3\,e\,a^4\,d^2+4\,b\,a^3\,d^3\right)+a^4\,d^3+b^4\,e^3\,x^7}","Not used",1,"(70*b^3*e^4*atanh((a^8*e^8 - b^8*d^8 - 14*a^2*b^6*d^6*e^2 + 14*a^3*b^5*d^5*e^3 - 14*a^5*b^3*d^3*e^5 + 14*a^6*b^2*d^2*e^6 + 6*a*b^7*d^7*e - 6*a^7*b*d*e^7)/(a*e - b*d)^8 + (2*b*e*x*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6))/(a*e - b*d)^8))/(a*e - b*d)^8 - ((4*a^6*e^6 - 3*b^6*d^6 - 101*a^2*b^4*d^4*e^2 + 319*a^3*b^3*d^3*e^3 + 214*a^4*b^2*d^2*e^4 + 25*a*b^5*d^5*e - 38*a^5*b*d*e^5)/(12*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)) + (35*b^6*e^6*x^6)/(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6) + (7*e^2*x^2*(4*a^4*b^2*e^4 - b^6*d^4 + 109*a^3*b^3*d*e^3 + 169*a^2*b^4*d^2*e^2 + 19*a*b^5*d^3*e))/(4*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)) + (7*e*x*(b^6*d^5 - 2*a^5*b*e^5 + 34*a^4*b^2*d*e^4 + 79*a^2*b^4*d^3*e^2 + 259*a^3*b^3*d^2*e^3 - 11*a*b^5*d^4*e))/(12*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)) + (35*e^2*x^3*(3*b^6*d^3*e + 25*a^3*b^3*e^4 + 79*a*b^5*d^2*e^2 + 133*a^2*b^4*d*e^3))/(12*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)) + (35*b^2*e^3*x^5*(7*a*b^3*e^3 + 5*b^4*d*e^2))/(2*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)) + (35*b*e^2*x^4*(26*a^2*b^3*e^4 + 11*b^5*d^2*e^2 + 53*a*b^4*d*e^3))/(6*(a^7*e^7 - b^7*d^7 - 21*a^2*b^5*d^5*e^2 + 35*a^3*b^4*d^4*e^3 - 35*a^4*b^3*d^3*e^4 + 21*a^5*b^2*d^2*e^5 + 7*a*b^6*d^6*e - 7*a^6*b*d*e^6)))/(x^6*(4*a*b^3*e^3 + 3*b^4*d*e^2) + x^2*(3*a^4*d*e^2 + 6*a^2*b^2*d^3 + 12*a^3*b*d^2*e) + x^5*(3*b^4*d^2*e + 6*a^2*b^2*e^3 + 12*a*b^3*d*e^2) + x^3*(a^4*e^3 + 4*a*b^3*d^3 + 18*a^2*b^2*d^2*e + 12*a^3*b*d*e^2) + x^4*(b^4*d^3 + 4*a^3*b*e^3 + 18*a^2*b^2*d*e^2 + 12*a*b^3*d^2*e) + x*(4*a^3*b*d^3 + 3*a^4*d^2*e) + a^4*d^3 + b^4*e^3*x^7)","B"
1954,1,1541,146,4.770299,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^5,x)","a\,d^5\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{d^5\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{e^5\,x^5\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{8\,b}+\frac{a\,e^5\,x^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{7\,b^2}+\frac{5\,d\,e^4\,x^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{7\,b}-\frac{13\,a\,e^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(6\,b^4\,x^4\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^6+20\,a^4\,b^2\,x^2+19\,a^5\,b\,x-11\,a\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+15\,a^2\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-18\,a^3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{336\,b^6}+\frac{2\,d^3\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{b}+\frac{5\,d^2\,e^3\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{3\,b}+\frac{5\,d^4\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b}-\frac{a^3\,e^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{35\,b^6}-\frac{41\,a^2\,e^5\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^5+5\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-14\,a^3\,b^2\,x^2-13\,a^4\,b\,x-9\,a\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+12\,a^2\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{560\,b^6}-\frac{5\,a\,d^4\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^4}-\frac{5\,a^3\,d^3\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,b^2}-\frac{3\,a\,d^2\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{4\,b^4}-\frac{29\,a^2\,d\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{56\,b^5}-\frac{7\,a\,d^3\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{6\,b^3}-\frac{5\,a^3\,d\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}+\frac{5\,a\,d^3\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{2\,b^2}+\frac{5\,a\,d\,e^4\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}-\frac{5\,a^2\,d^4\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b}-\frac{19\,a^2\,d^2\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{12\,b^4}-\frac{11\,a^2\,d^3\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{16\,b^5}-\frac{a^3\,d^2\,e^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,b^6}-\frac{11\,a\,d\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^5+5\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-14\,a^3\,b^2\,x^2-13\,a^4\,b\,x-9\,a\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+12\,a^2\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{42\,b^5}+\frac{2\,a\,d^2\,e^3\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{b^2}","Not used",1,"a*d^5*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (d^5*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (e^5*x^5*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(8*b) + (a*e^5*x^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(7*b^2) + (5*d*e^4*x^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(7*b) - (13*a*e^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(6*b^4*x^4*(a^2 + b^2*x^2 + 2*a*b*x) - a^6 + 20*a^4*b^2*x^2 + 19*a^5*b*x - 11*a*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) + 15*a^2*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - 18*a^3*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(336*b^6) + (2*d^3*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/b + (5*d^2*e^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(3*b) + (5*d^4*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b) - (a^3*e^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(35*b^6) - (41*a^2*e^5*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^5 + 5*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) - 14*a^3*b^2*x^2 - 13*a^4*b*x - 9*a*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) + 12*a^2*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(560*b^6) - (5*a*d^4*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^4) - (5*a^3*d^3*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*b^2) - (3*a*d^2*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(4*b^4) - (29*a^2*d*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(56*b^5) - (7*a*d^3*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(6*b^3) - (5*a^3*d*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) + (5*a*d^3*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(2*b^2) + (5*a*d*e^4*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) - (5*a^2*d^4*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b) - (19*a^2*d^2*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(12*b^4) - (11*a^2*d^3*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(16*b^5) - (a^3*d^2*e^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*b^6) - (11*a*d*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^5 + 5*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) - 14*a^3*b^2*x^2 - 13*a^4*b*x - 9*a*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) + 12*a^2*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(42*b^5) + (2*a*d^2*e^3*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/b^2","B"
1955,1,1095,146,3.592788,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^4,x)","a\,d^4\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{d^4\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{e^4\,x^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{7\,b}-\frac{a^3\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{24\,b^5}+\frac{a\,e^4\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b^2}+\frac{2\,d\,e^3\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{3\,b}-\frac{11\,a\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^5+5\,b^3\,x^3\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-14\,a^3\,b^2\,x^2-13\,a^4\,b\,x-9\,a\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)+12\,a^2\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{210\,b^5}+\frac{6\,d^2\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b}+\frac{d^3\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{b}-\frac{29\,a^2\,e^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{280\,b^5}-\frac{a\,d^3\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^4}-\frac{3\,a^3\,d^2\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,b^2}-\frac{7\,a\,d^2\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{10\,b^3}-\frac{19\,a^2\,d\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{30\,b^4}-\frac{a^3\,d\,e^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{15\,b^6}+\frac{3\,a\,d^2\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{2\,b^2}+\frac{4\,a\,d\,e^3\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}-\frac{a^2\,d^3\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b}-\frac{3\,a\,d\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{10\,b^4}-\frac{33\,a^2\,d^2\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{80\,b^5}","Not used",1,"a*d^4*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (d^4*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (e^4*x^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(7*b) - (a^3*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(24*b^5) + (a*e^4*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b^2) + (2*d*e^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(3*b) - (11*a*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^5 + 5*b^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x) - 14*a^3*b^2*x^2 - 13*a^4*b*x - 9*a*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) + 12*a^2*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(210*b^5) + (6*d^2*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b) + (d^3*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/b - (29*a^2*e^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(280*b^5) - (a*d^3*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^4) - (3*a^3*d^2*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*b^2) - (7*a*d^2*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(10*b^3) - (19*a^2*d*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(30*b^4) - (a^3*d*e^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(15*b^6) + (3*a*d^2*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(2*b^2) + (4*a*d*e^3*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) - (a^2*d^3*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/b - (3*a*d*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(10*b^4) - (33*a^2*d^2*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(80*b^5)","B"
1956,1,734,146,3.006940,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^3,x)","a\,d^3\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{d^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{e^3\,x^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{6\,b}-\frac{19\,a^2\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{120\,b^4}-\frac{a^3\,e^3\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{60\,b^6}+\frac{a\,e^3\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b^2}+\frac{3\,d\,e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b}-\frac{3\,a\,e^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(4\,b^2\,x^2\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-a^4+9\,a^2\,b^2\,x^2+8\,a^3\,b\,x-7\,a\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)\right)}{40\,b^4}+\frac{3\,d^2\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b}-\frac{7\,a\,d\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{20\,b^3}-\frac{a\,d^2\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{32\,b^4}+\frac{3\,a\,d\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{33\,a^2\,d\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{160\,b^5}-\frac{3\,a^2\,d^2\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b}-\frac{3\,a^3\,d\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}","Not used",1,"a*d^3*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (d^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (e^3*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(6*b) - (19*a^2*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(120*b^4) - (a^3*e^3*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(60*b^6) + (a*e^3*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b^2) + (3*d*e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b) - (3*a*e^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(4*b^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x) - a^4 + 9*a^2*b^2*x^2 + 8*a^3*b*x - 7*a*b*x*(a^2 + b^2*x^2 + 2*a*b*x)))/(40*b^4) + (3*d^2*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b) - (7*a*d*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(20*b^3) - (a*d^2*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(32*b^4) + (3*a*d*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (33*a^2*d*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(160*b^5) - (3*a^2*d^2*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b) - (3*a^3*d*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2)","B"
1957,1,438,125,2.578628,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^2,x)","a\,d^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{d^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{e^2\,x^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b}-\frac{11\,a^2\,e^2\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{160\,b^5}-\frac{a^3\,e^2\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b^2}+\frac{d\,e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{2\,b}-\frac{7\,a\,e^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^3-5\,a\,b^2\,x^2+3\,b\,x\,\left(a^2+2\,a\,b\,x+b^2\,x^2\right)-4\,a^2\,b\,x\right)}{60\,b^3}+\frac{a\,e^2\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b^2}-\frac{a^2\,d\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,b}-\frac{a\,d\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{48\,b^4}","Not used",1,"a*d^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (d^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (e^2*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b) - (11*a^2*e^2*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(160*b^5) - (a^3*e^2*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b^2) + (d*e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(2*b) - (7*a*e^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^3 - 5*a*b^2*x^2 + 3*b*x*(a^2 + b^2*x^2 + 2*a*b*x) - 4*a^2*b*x))/(60*b^3) + (a*e^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b^2) - (a^2*d*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*b) - (a*d*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(48*b^4)","B"
1958,1,219,78,2.498570,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x),x)","\frac{d\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{e\,x\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{4\,b}-\frac{a^2\,e\,\left(\frac{x}{2}+\frac{a}{2\,b}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,b}-\frac{5\,a\,e\,\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{96\,b^4}+\frac{a\,\left(a+b\,x\right)\,\left(3\,b\,d-a\,e+2\,b\,e\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,b^2}","Not used",1,"(d*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (e*x*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(4*b) - (a^2*e*(x/2 + a/(2*b))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*b) - (5*a*e*(8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(96*b^4) + (a*(a + b*x)*(3*b*d - a*e + 2*b*e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*b^2)","B"
1959,1,76,27,2.168567,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x),x)","\frac{\left(8\,b^2\,\left(a^2+b^2\,x^2\right)-12\,a^2\,b^2+4\,a\,b^3\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{24\,b^3}+\frac{a\,\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{2\,b}","Not used",1,"((8*b^2*(a^2 + b^2*x^2) - 12*a^2*b^2 + 4*a*b^3*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(24*b^3) + (a*((a + b*x)^2)^(1/2)*(a + b*x))/(2*b)","B"
1960,0,-1,122,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x),x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{d+e\,x} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x), x)","F"
1961,0,-1,132,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^2,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^2, x)","F"
1962,0,-1,140,0.000000,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^3,x)","\int \frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^3, x)","F"
1963,1,75,41,2.099493,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^4,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(a^2\,e^2+a\,b\,d\,e+3\,a\,b\,e^2\,x+b^2\,d^2+3\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2\right)}{3\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"-(((a + b*x)^2)^(1/2)*(a^2*e^2 + b^2*d^2 + 3*b^2*e^2*x^2 + 3*a*b*e^2*x + 3*b^2*d*e*x + a*b*d*e))/(3*e^3*(a + b*x)*(d + e*x)^3)","B"
1964,1,77,146,2.139085,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^5,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(3\,a^2\,e^2+2\,a\,b\,d\,e+8\,a\,b\,e^2\,x+b^2\,d^2+4\,b^2\,d\,e\,x+6\,b^2\,e^2\,x^2\right)}{12\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"-(((a + b*x)^2)^(1/2)*(3*a^2*e^2 + b^2*d^2 + 6*b^2*e^2*x^2 + 8*a*b*e^2*x + 4*b^2*d*e*x + 2*a*b*d*e))/(12*e^3*(a + b*x)*(d + e*x)^4)","B"
1965,1,77,146,2.123007,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^6,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(6\,a^2\,e^2+3\,a\,b\,d\,e+15\,a\,b\,e^2\,x+b^2\,d^2+5\,b^2\,d\,e\,x+10\,b^2\,e^2\,x^2\right)}{30\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"-(((a + b*x)^2)^(1/2)*(6*a^2*e^2 + b^2*d^2 + 10*b^2*e^2*x^2 + 15*a*b*e^2*x + 5*b^2*d*e*x + 3*a*b*d*e))/(30*e^3*(a + b*x)*(d + e*x)^5)","B"
1966,1,77,146,2.118454,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^7,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(10\,a^2\,e^2+4\,a\,b\,d\,e+24\,a\,b\,e^2\,x+b^2\,d^2+6\,b^2\,d\,e\,x+15\,b^2\,e^2\,x^2\right)}{60\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"-(((a + b*x)^2)^(1/2)*(10*a^2*e^2 + b^2*d^2 + 15*b^2*e^2*x^2 + 24*a*b*e^2*x + 6*b^2*d*e*x + 4*a*b*d*e))/(60*e^3*(a + b*x)*(d + e*x)^6)","B"
1967,1,77,146,2.130411,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^8,x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(15\,a^2\,e^2+5\,a\,b\,d\,e+35\,a\,b\,e^2\,x+b^2\,d^2+7\,b^2\,d\,e\,x+21\,b^2\,e^2\,x^2\right)}{105\,e^3\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}","Not used",1,"-(((a + b*x)^2)^(1/2)*(15*a^2*e^2 + b^2*d^2 + 21*b^2*e^2*x^2 + 35*a*b*e^2*x + 7*b^2*d*e*x + 5*a*b*d*e))/(105*e^3*(a + b*x)*(d + e*x)^7)","B"
1968,0,-1,254,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^7*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^7\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^7*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1969,0,-1,254,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^6\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1970,0,-1,254,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^5\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1971,0,-1,219,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1972,0,-1,172,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1973,0,-1,125,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1974,0,-1,78,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
1975,1,30,27,2.162365,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\frac{{\left(a+b\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{5\,b}","Not used",1,"((a + b*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(5*b)","B"
1976,0,-1,210,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x),x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{d+e\,x} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x), x)","F"
1977,0,-1,239,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^2,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^2, x)","F"
1978,0,-1,238,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^3,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^3, x)","F"
1979,0,-1,238,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^4,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^4, x)","F"
1980,0,-1,246,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^5,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^5, x)","F"
1981,1,449,41,2.149224,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^6,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{4\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{4\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{4\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{4\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{a^4}{5\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,a\,b^3}{5\,e}-\frac{b^4\,d}{5\,e^2}\right)}{e}-\frac{6\,a^2\,b^2}{5\,e}\right)}{e}+\frac{4\,a^3\,b}{5\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{3\,e^5}+\frac{d\,\left(\frac{b^4\,d}{3\,e^4}-\frac{2\,b^3\,\left(2\,a\,e-b\,d\right)}{3\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{2\,e^5}+\frac{b^4\,d}{2\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{e^5\,\left(a+b\,x\right)\,\left(d+e\,x\right)}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(4*e^5) + (d*((d*((b^4*d)/(4*e^3) - (b^3*(4*a*e - b*d))/(4*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(4*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - ((a^4/(5*e) - (d*((d*((d*((4*a*b^3)/(5*e) - (b^4*d)/(5*e^2)))/e - (6*a^2*b^2)/(5*e)))/e + (4*a^3*b)/(5*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(3*e^5) + (d*((b^4*d)/(3*e^4) - (2*b^3*(2*a*e - b*d))/(3*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) + (((3*b^4*d - 4*a*b^3*e)/(2*e^5) + (b^4*d)/(2*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^2) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(e^5*(a + b*x)*(d + e*x))","B"
1982,1,449,98,2.135076,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^7,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{5\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{5\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{5\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{5\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{a^4}{6\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,a\,b^3}{3\,e}-\frac{b^4\,d}{6\,e^2}\right)}{e}-\frac{a^2\,b^2}{e}\right)}{e}+\frac{2\,a^3\,b}{3\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{4\,e^5}+\frac{d\,\left(\frac{b^4\,d}{4\,e^4}-\frac{b^3\,\left(2\,a\,e-b\,d\right)}{2\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{3\,e^5}+\frac{b^4\,d}{3\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(5*e^5) + (d*((d*((b^4*d)/(5*e^3) - (b^3*(4*a*e - b*d))/(5*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(5*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - ((a^4/(6*e) - (d*((d*((d*((2*a*b^3)/(3*e) - (b^4*d)/(6*e^2)))/e - (a^2*b^2)/e))/e + (2*a^3*b)/(3*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(4*e^5) + (d*((b^4*d)/(4*e^4) - (b^3*(2*a*e - b*d))/(2*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) + (((3*b^4*d - 4*a*b^3*e)/(3*e^5) + (b^4*d)/(3*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*e^5*(a + b*x)*(d + e*x)^2)","B"
1983,1,449,149,2.153752,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^8,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{6\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{6\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{6\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{6\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{a^4}{7\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,a\,b^3}{7\,e}-\frac{b^4\,d}{7\,e^2}\right)}{e}-\frac{6\,a^2\,b^2}{7\,e}\right)}{e}+\frac{4\,a^3\,b}{7\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{5\,e^5}+\frac{d\,\left(\frac{b^4\,d}{5\,e^4}-\frac{2\,b^3\,\left(2\,a\,e-b\,d\right)}{5\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{4\,e^5}+\frac{b^4\,d}{4\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(6*e^5) + (d*((d*((b^4*d)/(6*e^3) - (b^3*(4*a*e - b*d))/(6*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(6*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - ((a^4/(7*e) - (d*((d*((d*((4*a*b^3)/(7*e) - (b^4*d)/(7*e^2)))/e - (6*a^2*b^2)/(7*e)))/e + (4*a^3*b)/(7*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(5*e^5) + (d*((b^4*d)/(5*e^4) - (2*b^3*(2*a*e - b*d))/(5*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) + (((3*b^4*d - 4*a*b^3*e)/(4*e^5) + (b^4*d)/(4*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*e^5*(a + b*x)*(d + e*x)^3)","B"
1984,1,449,252,2.167724,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^9,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{7\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{7\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{7\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{7\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{a^4}{8\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{a\,b^3}{2\,e}-\frac{b^4\,d}{8\,e^2}\right)}{e}-\frac{3\,a^2\,b^2}{4\,e}\right)}{e}+\frac{a^3\,b}{2\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{6\,e^5}+\frac{d\,\left(\frac{b^4\,d}{6\,e^4}-\frac{b^3\,\left(2\,a\,e-b\,d\right)}{3\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{5\,e^5}+\frac{b^4\,d}{5\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(7*e^5) + (d*((d*((b^4*d)/(7*e^3) - (b^3*(4*a*e - b*d))/(7*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(7*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - ((a^4/(8*e) - (d*((d*((d*((a*b^3)/(2*e) - (b^4*d)/(8*e^2)))/e - (3*a^2*b^2)/(4*e)))/e + (a^3*b)/(2*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(6*e^5) + (d*((b^4*d)/(6*e^4) - (b^3*(2*a*e - b*d))/(3*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) + (((3*b^4*d - 4*a*b^3*e)/(5*e^5) + (b^4*d)/(5*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*e^5*(a + b*x)*(d + e*x)^4)","B"
1985,1,449,254,2.173364,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^10,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{8\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{8\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{8\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{8\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{a^4}{9\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,a\,b^3}{9\,e}-\frac{b^4\,d}{9\,e^2}\right)}{e}-\frac{2\,a^2\,b^2}{3\,e}\right)}{e}+\frac{4\,a^3\,b}{9\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{7\,e^5}+\frac{d\,\left(\frac{b^4\,d}{7\,e^4}-\frac{2\,b^3\,\left(2\,a\,e-b\,d\right)}{7\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{6\,e^5}+\frac{b^4\,d}{6\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(8*e^5) + (d*((d*((b^4*d)/(8*e^3) - (b^3*(4*a*e - b*d))/(8*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(8*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - ((a^4/(9*e) - (d*((d*((d*((4*a*b^3)/(9*e) - (b^4*d)/(9*e^2)))/e - (2*a^2*b^2)/(3*e)))/e + (4*a^3*b)/(9*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(7*e^5) + (d*((b^4*d)/(7*e^4) - (2*b^3*(2*a*e - b*d))/(7*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) + (((3*b^4*d - 4*a*b^3*e)/(6*e^5) + (b^4*d)/(6*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*e^5*(a + b*x)*(d + e*x)^5)","B"
1986,1,449,254,2.200757,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^11,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{9\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{9\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{9\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{9\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{a^4}{10\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,a\,b^3}{5\,e}-\frac{b^4\,d}{10\,e^2}\right)}{e}-\frac{3\,a^2\,b^2}{5\,e}\right)}{e}+\frac{2\,a^3\,b}{5\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{8\,e^5}+\frac{d\,\left(\frac{b^4\,d}{8\,e^4}-\frac{b^3\,\left(2\,a\,e-b\,d\right)}{4\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{7\,e^5}+\frac{b^4\,d}{7\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(9*e^5) + (d*((d*((b^4*d)/(9*e^3) - (b^3*(4*a*e - b*d))/(9*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(9*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - ((a^4/(10*e) - (d*((d*((d*((2*a*b^3)/(5*e) - (b^4*d)/(10*e^2)))/e - (3*a^2*b^2)/(5*e)))/e + (2*a^3*b)/(5*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(8*e^5) + (d*((b^4*d)/(8*e^4) - (b^3*(2*a*e - b*d))/(4*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) + (((3*b^4*d - 4*a*b^3*e)/(7*e^5) + (b^4*d)/(7*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*e^5*(a + b*x)*(d + e*x)^6)","B"
1987,1,449,254,2.200141,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^12,x)","\frac{\left(\frac{-4\,a^3\,b\,e^3+6\,a^2\,b^2\,d\,e^2-4\,a\,b^3\,d^2\,e+b^4\,d^3}{10\,e^5}+\frac{d\,\left(\frac{d\,\left(\frac{b^4\,d}{10\,e^3}-\frac{b^3\,\left(4\,a\,e-b\,d\right)}{10\,e^3}\right)}{e}+\frac{b^2\,\left(6\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{10\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{a^4}{11\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,a\,b^3}{11\,e}-\frac{b^4\,d}{11\,e^2}\right)}{e}-\frac{6\,a^2\,b^2}{11\,e}\right)}{e}+\frac{4\,a^3\,b}{11\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{6\,a^2\,b^2\,e^2-8\,a\,b^3\,d\,e+3\,b^4\,d^2}{9\,e^5}+\frac{d\,\left(\frac{b^4\,d}{9\,e^4}-\frac{2\,b^3\,\left(2\,a\,e-b\,d\right)}{9\,e^4}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}+\frac{\left(\frac{3\,b^4\,d-4\,a\,b^3\,e}{8\,e^5}+\frac{b^4\,d}{8\,e^5}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{b^4\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,e^5\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}","Not used",1,"(((b^4*d^3 - 4*a^3*b*e^3 + 6*a^2*b^2*d*e^2 - 4*a*b^3*d^2*e)/(10*e^5) + (d*((d*((b^4*d)/(10*e^3) - (b^3*(4*a*e - b*d))/(10*e^3)))/e + (b^2*(6*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(10*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - ((a^4/(11*e) - (d*((d*((d*((4*a*b^3)/(11*e) - (b^4*d)/(11*e^2)))/e - (6*a^2*b^2)/(11*e)))/e + (4*a^3*b)/(11*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((3*b^4*d^2 + 6*a^2*b^2*e^2 - 8*a*b^3*d*e)/(9*e^5) + (d*((b^4*d)/(9*e^4) - (2*b^3*(2*a*e - b*d))/(9*e^4)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) + (((3*b^4*d - 4*a*b^3*e)/(8*e^5) + (b^4*d)/(8*e^5))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (b^4*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*e^5*(a + b*x)*(d + e*x)^7)","B"
1988,0,-1,362,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^9*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^9\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^9*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1989,0,-1,362,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^8*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^8\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^8*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1990,0,-1,362,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^7*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^7\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^7*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1991,0,-1,311,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^6\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^6*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1992,0,-1,263,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^5\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^5*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1993,0,-1,219,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^4\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^4*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1994,0,-1,172,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1995,0,-1,125,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1996,0,-1,78,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
1997,1,14,27,2.238644,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\frac{{\left({\left(a+b\,x\right)}^2\right)}^{7/2}}{7\,b}","Not used",1,"((a + b*x)^2)^(7/2)/(7*b)","B"
1998,0,-1,298,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x),x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{d+e\,x} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x), x)","F"
1999,0,-1,345,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^2,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^2, x)","F"
2000,0,-1,347,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^3,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^3, x)","F"
2001,0,-1,345,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^4,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^4, x)","F"
2002,0,-1,344,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^5,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^5, x)","F"
2003,0,-1,344,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^6,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^6, x)","F"
2004,0,-1,356,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^7,x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}}{{\left(d+e\,x\right)}^7} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^7, x)","F"
2005,1,1010,41,2.378727,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^8,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{6\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{6\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{6\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{6\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{6\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{6\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{3\,e^7}+\frac{d\,\left(\frac{b^6\,d}{3\,e^6}-\frac{2\,b^5\,\left(3\,a\,e-2\,b\,d\right)}{3\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}-\frac{\left(\frac{a^6}{7\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{6\,a\,b^5}{7\,e}-\frac{b^6\,d}{7\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{7\,e}\right)}{e}+\frac{20\,a^3\,b^3}{7\,e}\right)}{e}-\frac{15\,a^4\,b^2}{7\,e}\right)}{e}+\frac{6\,a^5\,b}{7\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{5\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{5\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{5\,e^4}-\frac{2\,b^5\,\left(3\,a\,e-b\,d\right)}{5\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{5\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{2\,e^7}+\frac{b^6\,d}{2\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{4\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{4\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{4\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{4\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{e^7\,\left(a+b\,x\right)\,\left(d+e\,x\right)}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(6*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(6*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(6*e^7) - (d*((d*((b^6*d)/(6*e^3) - (b^5*(6*a*e - b*d))/(6*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(6*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(3*e^7) + (d*((b^6*d)/(3*e^6) - (2*b^5*(3*a*e - 2*b*d))/(3*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) - ((a^6/(7*e) - (d*((d*((d*((d*((d*((6*a*b^5)/(7*e) - (b^6*d)/(7*e^2)))/e - (15*a^2*b^4)/(7*e)))/e + (20*a^3*b^3)/(7*e)))/e - (15*a^4*b^2)/(7*e)))/e + (6*a^5*b)/(7*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(5*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(5*e^7) + (d*((d*((b^6*d)/(5*e^4) - (2*b^5*(3*a*e - b*d))/(5*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(5*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) + (((5*b^6*d - 6*a*b^5*e)/(2*e^7) + (b^6*d)/(2*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^2) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(4*e^7) + (d*((d*((b^6*d)/(4*e^5) - (3*b^5*(2*a*e - b*d))/(4*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(4*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(e^7*(a + b*x)*(d + e*x))","B"
2006,1,1010,98,2.298146,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^9,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{7\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{7\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{7\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{7\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{7\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{7\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{4\,e^7}+\frac{d\,\left(\frac{b^6\,d}{4\,e^6}-\frac{b^5\,\left(3\,a\,e-2\,b\,d\right)}{2\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}-\frac{\left(\frac{a^6}{8\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a\,b^5}{4\,e}-\frac{b^6\,d}{8\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{8\,e}\right)}{e}+\frac{5\,a^3\,b^3}{2\,e}\right)}{e}-\frac{15\,a^4\,b^2}{8\,e}\right)}{e}+\frac{3\,a^5\,b}{4\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{6\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{6\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{6\,e^4}-\frac{b^5\,\left(3\,a\,e-b\,d\right)}{3\,e^4}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{2\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{3\,e^7}+\frac{b^6\,d}{3\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{5\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{5\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{5\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{5\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{2\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(7*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(7*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(7*e^7) - (d*((d*((b^6*d)/(7*e^3) - (b^5*(6*a*e - b*d))/(7*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(7*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(4*e^7) + (d*((b^6*d)/(4*e^6) - (b^5*(3*a*e - 2*b*d))/(2*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) - ((a^6/(8*e) - (d*((d*((d*((d*((d*((3*a*b^5)/(4*e) - (b^6*d)/(8*e^2)))/e - (15*a^2*b^4)/(8*e)))/e + (5*a^3*b^3)/(2*e)))/e - (15*a^4*b^2)/(8*e)))/e + (3*a^5*b)/(4*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(6*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(6*e^7) + (d*((d*((b^6*d)/(6*e^4) - (b^5*(3*a*e - b*d))/(3*e^4)))/e + (b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(2*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) + (((5*b^6*d - 6*a*b^5*e)/(3*e^7) + (b^6*d)/(3*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^3) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(5*e^7) + (d*((d*((b^6*d)/(5*e^5) - (3*b^5*(2*a*e - b*d))/(5*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(5*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(2*e^7*(a + b*x)*(d + e*x)^2)","B"
2007,1,1010,149,2.264415,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^10,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{8\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{8\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{8\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{8\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{8\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{8\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{5\,e^7}+\frac{d\,\left(\frac{b^6\,d}{5\,e^6}-\frac{2\,b^5\,\left(3\,a\,e-2\,b\,d\right)}{5\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}-\frac{\left(\frac{a^6}{9\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,a\,b^5}{3\,e}-\frac{b^6\,d}{9\,e^2}\right)}{e}-\frac{5\,a^2\,b^4}{3\,e}\right)}{e}+\frac{20\,a^3\,b^3}{9\,e}\right)}{e}-\frac{5\,a^4\,b^2}{3\,e}\right)}{e}+\frac{2\,a^5\,b}{3\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{7\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{7\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{7\,e^4}-\frac{2\,b^5\,\left(3\,a\,e-b\,d\right)}{7\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{7\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{4\,e^7}+\frac{b^6\,d}{4\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{6\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{6\,e^5}-\frac{b^5\,\left(2\,a\,e-b\,d\right)}{2\,e^5}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{2\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(8*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(8*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(8*e^7) - (d*((d*((b^6*d)/(8*e^3) - (b^5*(6*a*e - b*d))/(8*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(8*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(5*e^7) + (d*((b^6*d)/(5*e^6) - (2*b^5*(3*a*e - 2*b*d))/(5*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) - ((a^6/(9*e) - (d*((d*((d*((d*((d*((2*a*b^5)/(3*e) - (b^6*d)/(9*e^2)))/e - (5*a^2*b^4)/(3*e)))/e + (20*a^3*b^3)/(9*e)))/e - (5*a^4*b^2)/(3*e)))/e + (2*a^5*b)/(3*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(7*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(7*e^7) + (d*((d*((b^6*d)/(7*e^4) - (2*b^5*(3*a*e - b*d))/(7*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(7*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) + (((5*b^6*d - 6*a*b^5*e)/(4*e^7) + (b^6*d)/(4*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^4) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(6*e^7) + (d*((d*((b^6*d)/(6*e^5) - (b^5*(2*a*e - b*d))/(2*e^5)))/e + (b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(2*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(3*e^7*(a + b*x)*(d + e*x)^3)","B"
2008,1,1010,200,2.529960,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^11,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{9\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{9\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{9\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{9\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{9\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{9\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{6\,e^7}+\frac{d\,\left(\frac{b^6\,d}{6\,e^6}-\frac{b^5\,\left(3\,a\,e-2\,b\,d\right)}{3\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}-\frac{\left(\frac{a^6}{10\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a\,b^5}{5\,e}-\frac{b^6\,d}{10\,e^2}\right)}{e}-\frac{3\,a^2\,b^4}{2\,e}\right)}{e}+\frac{2\,a^3\,b^3}{e}\right)}{e}-\frac{3\,a^4\,b^2}{2\,e}\right)}{e}+\frac{3\,a^5\,b}{5\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{8\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{8\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{8\,e^4}-\frac{b^5\,\left(3\,a\,e-b\,d\right)}{4\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{8\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{5\,e^7}+\frac{b^6\,d}{5\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{7\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{7\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{7\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{7\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{4\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(9*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(9*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(9*e^7) - (d*((d*((b^6*d)/(9*e^3) - (b^5*(6*a*e - b*d))/(9*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(9*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(6*e^7) + (d*((b^6*d)/(6*e^6) - (b^5*(3*a*e - 2*b*d))/(3*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) - ((a^6/(10*e) - (d*((d*((d*((d*((d*((3*a*b^5)/(5*e) - (b^6*d)/(10*e^2)))/e - (3*a^2*b^4)/(2*e)))/e + (2*a^3*b^3)/e))/e - (3*a^4*b^2)/(2*e)))/e + (3*a^5*b)/(5*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(8*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(8*e^7) + (d*((d*((b^6*d)/(8*e^4) - (b^5*(3*a*e - b*d))/(4*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(8*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) + (((5*b^6*d - 6*a*b^5*e)/(5*e^7) + (b^6*d)/(5*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^5) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(7*e^7) + (d*((d*((b^6*d)/(7*e^5) - (3*b^5*(2*a*e - b*d))/(7*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(7*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(4*e^7*(a + b*x)*(d + e*x)^4)","B"
2009,1,1010,359,2.530235,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^12,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{10\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{10\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{10\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{10\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{10\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{10\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{7\,e^7}+\frac{d\,\left(\frac{b^6\,d}{7\,e^6}-\frac{2\,b^5\,\left(3\,a\,e-2\,b\,d\right)}{7\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}-\frac{\left(\frac{a^6}{11\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{6\,a\,b^5}{11\,e}-\frac{b^6\,d}{11\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{11\,e}\right)}{e}+\frac{20\,a^3\,b^3}{11\,e}\right)}{e}-\frac{15\,a^4\,b^2}{11\,e}\right)}{e}+\frac{6\,a^5\,b}{11\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{9\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{9\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{9\,e^4}-\frac{2\,b^5\,\left(3\,a\,e-b\,d\right)}{9\,e^4}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{3\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{6\,e^7}+\frac{b^6\,d}{6\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{8\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{8\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{8\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{8\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{5\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(10*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(10*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(10*e^7) - (d*((d*((b^6*d)/(10*e^3) - (b^5*(6*a*e - b*d))/(10*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(10*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(7*e^7) + (d*((b^6*d)/(7*e^6) - (2*b^5*(3*a*e - 2*b*d))/(7*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) - ((a^6/(11*e) - (d*((d*((d*((d*((d*((6*a*b^5)/(11*e) - (b^6*d)/(11*e^2)))/e - (15*a^2*b^4)/(11*e)))/e + (20*a^3*b^3)/(11*e)))/e - (15*a^4*b^2)/(11*e)))/e + (6*a^5*b)/(11*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(9*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(9*e^7) + (d*((d*((b^6*d)/(9*e^4) - (2*b^5*(3*a*e - b*d))/(9*e^4)))/e + (b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(3*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) + (((5*b^6*d - 6*a*b^5*e)/(6*e^7) + (b^6*d)/(6*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^6) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(8*e^7) + (d*((d*((b^6*d)/(8*e^5) - (3*b^5*(2*a*e - b*d))/(8*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(8*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(5*e^7*(a + b*x)*(d + e*x)^5)","B"
2010,1,1010,362,2.374099,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^13,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{11\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{11\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{11\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{11\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{11\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{11\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{8\,e^7}+\frac{d\,\left(\frac{b^6\,d}{8\,e^6}-\frac{b^5\,\left(3\,a\,e-2\,b\,d\right)}{4\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}-\frac{\left(\frac{a^6}{12\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{a\,b^5}{2\,e}-\frac{b^6\,d}{12\,e^2}\right)}{e}-\frac{5\,a^2\,b^4}{4\,e}\right)}{e}+\frac{5\,a^3\,b^3}{3\,e}\right)}{e}-\frac{5\,a^4\,b^2}{4\,e}\right)}{e}+\frac{a^5\,b}{2\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{10\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{10\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{10\,e^4}-\frac{b^5\,\left(3\,a\,e-b\,d\right)}{5\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{10\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{7\,e^7}+\frac{b^6\,d}{7\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{9\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{9\,e^5}-\frac{b^5\,\left(2\,a\,e-b\,d\right)}{3\,e^5}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{3\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^6}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(11*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(11*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(11*e^7) - (d*((d*((b^6*d)/(11*e^3) - (b^5*(6*a*e - b*d))/(11*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(11*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(8*e^7) + (d*((b^6*d)/(8*e^6) - (b^5*(3*a*e - 2*b*d))/(4*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) - ((a^6/(12*e) - (d*((d*((d*((d*((d*((a*b^5)/(2*e) - (b^6*d)/(12*e^2)))/e - (5*a^2*b^4)/(4*e)))/e + (5*a^3*b^3)/(3*e)))/e - (5*a^4*b^2)/(4*e)))/e + (a^5*b)/(2*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(10*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(10*e^7) + (d*((d*((b^6*d)/(10*e^4) - (b^5*(3*a*e - b*d))/(5*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(10*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) + (((5*b^6*d - 6*a*b^5*e)/(7*e^7) + (b^6*d)/(7*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^7) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(9*e^7) + (d*((d*((b^6*d)/(9*e^5) - (b^5*(2*a*e - b*d))/(3*e^5)))/e + (b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(3*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*e^7*(a + b*x)*(d + e*x)^6)","B"
2011,1,1010,360,2.390435,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^14,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{12\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{12\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{12\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{12\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{12\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{12\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{9\,e^7}+\frac{d\,\left(\frac{b^6\,d}{9\,e^6}-\frac{2\,b^5\,\left(3\,a\,e-2\,b\,d\right)}{9\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}-\frac{\left(\frac{a^6}{13\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{6\,a\,b^5}{13\,e}-\frac{b^6\,d}{13\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{13\,e}\right)}{e}+\frac{20\,a^3\,b^3}{13\,e}\right)}{e}-\frac{15\,a^4\,b^2}{13\,e}\right)}{e}+\frac{6\,a^5\,b}{13\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{13}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{11\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{11\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{11\,e^4}-\frac{2\,b^5\,\left(3\,a\,e-b\,d\right)}{11\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{11\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{8\,e^7}+\frac{b^6\,d}{8\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{10\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{10\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{10\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{10\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{7\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^7}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(12*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(12*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(12*e^7) - (d*((d*((b^6*d)/(12*e^3) - (b^5*(6*a*e - b*d))/(12*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(12*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(9*e^7) + (d*((b^6*d)/(9*e^6) - (2*b^5*(3*a*e - 2*b*d))/(9*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) - ((a^6/(13*e) - (d*((d*((d*((d*((d*((6*a*b^5)/(13*e) - (b^6*d)/(13*e^2)))/e - (15*a^2*b^4)/(13*e)))/e + (20*a^3*b^3)/(13*e)))/e - (15*a^4*b^2)/(13*e)))/e + (6*a^5*b)/(13*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^13) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(11*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(11*e^7) + (d*((d*((b^6*d)/(11*e^4) - (2*b^5*(3*a*e - b*d))/(11*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(11*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) + (((5*b^6*d - 6*a*b^5*e)/(8*e^7) + (b^6*d)/(8*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^8) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(10*e^7) + (d*((d*((b^6*d)/(10*e^5) - (3*b^5*(2*a*e - b*d))/(10*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(10*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(7*e^7*(a + b*x)*(d + e*x)^7)","B"
2012,1,1010,362,2.399005,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^15,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{13\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{13\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{13\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{13\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{13\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{13\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{13}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{10\,e^7}+\frac{d\,\left(\frac{b^6\,d}{10\,e^6}-\frac{b^5\,\left(3\,a\,e-2\,b\,d\right)}{5\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}-\frac{\left(\frac{a^6}{14\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a\,b^5}{7\,e}-\frac{b^6\,d}{14\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{14\,e}\right)}{e}+\frac{10\,a^3\,b^3}{7\,e}\right)}{e}-\frac{15\,a^4\,b^2}{14\,e}\right)}{e}+\frac{3\,a^5\,b}{7\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{14}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{12\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{12\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{12\,e^4}-\frac{b^5\,\left(3\,a\,e-b\,d\right)}{6\,e^4}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{4\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{9\,e^7}+\frac{b^6\,d}{9\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{11\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{11\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{11\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{11\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{8\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^8}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(13*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(13*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(13*e^7) - (d*((d*((b^6*d)/(13*e^3) - (b^5*(6*a*e - b*d))/(13*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(13*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^13) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(10*e^7) + (d*((b^6*d)/(10*e^6) - (b^5*(3*a*e - 2*b*d))/(5*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) - ((a^6/(14*e) - (d*((d*((d*((d*((d*((3*a*b^5)/(7*e) - (b^6*d)/(14*e^2)))/e - (15*a^2*b^4)/(14*e)))/e + (10*a^3*b^3)/(7*e)))/e - (15*a^4*b^2)/(14*e)))/e + (3*a^5*b)/(7*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^14) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(12*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(12*e^7) + (d*((d*((b^6*d)/(12*e^4) - (b^5*(3*a*e - b*d))/(6*e^4)))/e + (b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(4*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) + (((5*b^6*d - 6*a*b^5*e)/(9*e^7) + (b^6*d)/(9*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^9) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(11*e^7) + (d*((d*((b^6*d)/(11*e^5) - (3*b^5*(2*a*e - b*d))/(11*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(11*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(8*e^7*(a + b*x)*(d + e*x)^8)","B"
2013,1,1010,362,2.446506,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^16,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{14\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{14\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{14\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{14\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{14\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{14\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{14}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{11\,e^7}+\frac{d\,\left(\frac{b^6\,d}{11\,e^6}-\frac{2\,b^5\,\left(3\,a\,e-2\,b\,d\right)}{11\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}-\frac{\left(\frac{a^6}{15\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,a\,b^5}{5\,e}-\frac{b^6\,d}{15\,e^2}\right)}{e}-\frac{a^2\,b^4}{e}\right)}{e}+\frac{4\,a^3\,b^3}{3\,e}\right)}{e}-\frac{a^4\,b^2}{e}\right)}{e}+\frac{2\,a^5\,b}{5\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{15}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{13\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{13\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{13\,e^4}-\frac{2\,b^5\,\left(3\,a\,e-b\,d\right)}{13\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{13\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{13}}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{10\,e^7}+\frac{b^6\,d}{10\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{12\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{12\,e^5}-\frac{b^5\,\left(2\,a\,e-b\,d\right)}{4\,e^5}\right)}{e}+\frac{b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{4\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{9\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^9}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(14*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(14*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(14*e^7) - (d*((d*((b^6*d)/(14*e^3) - (b^5*(6*a*e - b*d))/(14*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(14*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^14) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(11*e^7) + (d*((b^6*d)/(11*e^6) - (2*b^5*(3*a*e - 2*b*d))/(11*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) - ((a^6/(15*e) - (d*((d*((d*((d*((d*((2*a*b^5)/(5*e) - (b^6*d)/(15*e^2)))/e - (a^2*b^4)/e))/e + (4*a^3*b^3)/(3*e)))/e - (a^4*b^2)/e))/e + (2*a^5*b)/(5*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^15) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(13*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(13*e^7) + (d*((d*((b^6*d)/(13*e^4) - (2*b^5*(3*a*e - b*d))/(13*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(13*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^13) + (((5*b^6*d - 6*a*b^5*e)/(10*e^7) + (b^6*d)/(10*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^10) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(12*e^7) + (d*((d*((b^6*d)/(12*e^5) - (b^5*(2*a*e - b*d))/(4*e^5)))/e + (b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(4*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*e^7*(a + b*x)*(d + e*x)^9)","B"
2014,1,1010,362,2.449943,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^17,x)","\frac{\left(\frac{-6\,a^5\,b\,e^5+15\,a^4\,b^2\,d\,e^4-20\,a^3\,b^3\,d^2\,e^3+15\,a^2\,b^4\,d^3\,e^2-6\,a\,b^5\,d^4\,e+b^6\,d^5}{15\,e^7}+\frac{d\,\left(\frac{15\,a^4\,b^2\,e^5-20\,a^3\,b^3\,d\,e^4+15\,a^2\,b^4\,d^2\,e^3-6\,a\,b^5\,d^3\,e^2+b^6\,d^4\,e}{15\,e^7}-\frac{d\,\left(\frac{20\,a^3\,b^3\,e^5-15\,a^2\,b^4\,d\,e^4+6\,a\,b^5\,d^2\,e^3-b^6\,d^3\,e^2}{15\,e^7}-\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{15\,e^3}-\frac{b^5\,\left(6\,a\,e-b\,d\right)}{15\,e^3}\right)}{e}+\frac{b^4\,\left(15\,a^2\,e^2-6\,a\,b\,d\,e+b^2\,d^2\right)}{15\,e^4}\right)}{e}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{15}}-\frac{\left(\frac{15\,a^2\,b^4\,e^2-24\,a\,b^5\,d\,e+10\,b^6\,d^2}{12\,e^7}+\frac{d\,\left(\frac{b^6\,d}{12\,e^6}-\frac{b^5\,\left(3\,a\,e-2\,b\,d\right)}{6\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{12}}-\frac{\left(\frac{a^6}{16\,e}-\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a\,b^5}{8\,e}-\frac{b^6\,d}{16\,e^2}\right)}{e}-\frac{15\,a^2\,b^4}{16\,e}\right)}{e}+\frac{5\,a^3\,b^3}{4\,e}\right)}{e}-\frac{15\,a^4\,b^2}{16\,e}\right)}{e}+\frac{3\,a^5\,b}{8\,e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{16}}-\frac{\left(\frac{15\,a^4\,b^2\,e^4-40\,a^3\,b^3\,d\,e^3+45\,a^2\,b^4\,d^2\,e^2-24\,a\,b^5\,d^3\,e+5\,b^6\,d^4}{14\,e^7}+\frac{d\,\left(\frac{-20\,a^3\,b^3\,e^4+30\,a^2\,b^4\,d\,e^3-18\,a\,b^5\,d^2\,e^2+4\,b^6\,d^3\,e}{14\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{14\,e^4}-\frac{b^5\,\left(3\,a\,e-b\,d\right)}{7\,e^4}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-4\,a\,b\,d\,e+b^2\,d^2\right)}{14\,e^5}\right)}{e}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{14}}+\frac{\left(\frac{5\,b^6\,d-6\,a\,b^5\,e}{11\,e^7}+\frac{b^6\,d}{11\,e^7}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{11}}+\frac{\left(\frac{-20\,a^3\,b^3\,e^3+45\,a^2\,b^4\,d\,e^2-36\,a\,b^5\,d^2\,e+10\,b^6\,d^3}{13\,e^7}+\frac{d\,\left(\frac{d\,\left(\frac{b^6\,d}{13\,e^5}-\frac{3\,b^5\,\left(2\,a\,e-b\,d\right)}{13\,e^5}\right)}{e}+\frac{3\,b^4\,\left(5\,a^2\,e^2-6\,a\,b\,d\,e+2\,b^2\,d^2\right)}{13\,e^6}\right)}{e}\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{13}}-\frac{b^6\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{10\,e^7\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{10}}","Not used",1,"(((b^6*d^5 - 6*a^5*b*e^5 + 15*a^4*b^2*d*e^4 + 15*a^2*b^4*d^3*e^2 - 20*a^3*b^3*d^2*e^3 - 6*a*b^5*d^4*e)/(15*e^7) + (d*((b^6*d^4*e + 15*a^4*b^2*e^5 - 6*a*b^5*d^3*e^2 - 20*a^3*b^3*d*e^4 + 15*a^2*b^4*d^2*e^3)/(15*e^7) - (d*((20*a^3*b^3*e^5 - b^6*d^3*e^2 + 6*a*b^5*d^2*e^3 - 15*a^2*b^4*d*e^4)/(15*e^7) - (d*((d*((b^6*d)/(15*e^3) - (b^5*(6*a*e - b*d))/(15*e^3)))/e + (b^4*(15*a^2*e^2 + b^2*d^2 - 6*a*b*d*e))/(15*e^4)))/e))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^15) - (((10*b^6*d^2 + 15*a^2*b^4*e^2 - 24*a*b^5*d*e)/(12*e^7) + (d*((b^6*d)/(12*e^6) - (b^5*(3*a*e - 2*b*d))/(6*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^12) - ((a^6/(16*e) - (d*((d*((d*((d*((d*((3*a*b^5)/(8*e) - (b^6*d)/(16*e^2)))/e - (15*a^2*b^4)/(16*e)))/e + (5*a^3*b^3)/(4*e)))/e - (15*a^4*b^2)/(16*e)))/e + (3*a^5*b)/(8*e)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^16) - (((5*b^6*d^4 + 15*a^4*b^2*e^4 - 40*a^3*b^3*d*e^3 + 45*a^2*b^4*d^2*e^2 - 24*a*b^5*d^3*e)/(14*e^7) + (d*((4*b^6*d^3*e - 20*a^3*b^3*e^4 - 18*a*b^5*d^2*e^2 + 30*a^2*b^4*d*e^3)/(14*e^7) + (d*((d*((b^6*d)/(14*e^4) - (b^5*(3*a*e - b*d))/(7*e^4)))/e + (3*b^4*(5*a^2*e^2 + b^2*d^2 - 4*a*b*d*e))/(14*e^5)))/e))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^14) + (((5*b^6*d - 6*a*b^5*e)/(11*e^7) + (b^6*d)/(11*e^7))*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^11) + (((10*b^6*d^3 - 20*a^3*b^3*e^3 + 45*a^2*b^4*d*e^2 - 36*a*b^5*d^2*e)/(13*e^7) + (d*((d*((b^6*d)/(13*e^5) - (3*b^5*(2*a*e - b*d))/(13*e^5)))/e + (3*b^4*(5*a^2*e^2 + 2*b^2*d^2 - 6*a*b*d*e))/(13*e^6)))/e)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/((a + b*x)*(d + e*x)^13) - (b^6*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(10*e^7*(a + b*x)*(d + e*x)^10)","B"
2015,0,-1,39,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^4)/((a + b*x)^2)^(1/2), x)","F"
2016,0,-1,39,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^3)/((a + b*x)^2)^(1/2), x)","F"
2017,0,-1,39,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^2)/((a + b*x)^2)^(1/2), x)","F"
2018,0,-1,62,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,\left(d+e\,x\right)}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x))/((a + b*x)^2)^(1/2), x)","F"
2019,1,76,24,2.381716,"\text{Not used}","int((a + b*x)/((a + b*x)^2)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b}+\frac{a\,\ln\left(a+b\,x+\sqrt{{\left(a+b\,x\right)}^2}\right)}{b}-\frac{a\,\ln\left(a\,b+\sqrt{{\left(a+b\,x\right)}^2}\,\sqrt{b^2}+b^2\,x\right)}{\sqrt{b^2}}","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)/b + (a*log(a + b*x + ((a + b*x)^2)^(1/2)))/b - (a*log(a*b + ((a + b*x)^2)^(1/2)*(b^2)^(1/2) + b^2*x))/(b^2)^(1/2)","B"
2020,0,-1,35,0.000000,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)),x)","\int \frac{a+b\,x}{\sqrt{{\left(a+b\,x\right)}^2}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)), x)","F"
2021,1,28,38,2.100844,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}}{e\,\left(a+b\,x\right)\,\left(d+e\,x\right)}","Not used",1,"-((a + b*x)^2)^(1/2)/(e*(a + b*x)*(d + e*x))","B"
2022,1,28,42,2.167787,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^3),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}}{2\,e\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}","Not used",1,"-((a + b*x)^2)^(1/2)/(2*e*(a + b*x)*(d + e*x)^2)","B"
2023,1,28,42,2.142712,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^4),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}}{3\,e\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}","Not used",1,"-((a + b*x)^2)^(1/2)/(3*e*(a + b*x)*(d + e*x)^3)","B"
2024,1,28,42,2.170790,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^5),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}}{4\,e\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}","Not used",1,"-((a + b*x)^2)^(1/2)/(4*e*(a + b*x)*(d + e*x)^4)","B"
2025,0,-1,210,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2026,0,-1,162,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2027,0,-1,106,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2028,0,-1,67,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,\left(d+e\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2029,1,23,25,2.145014,"\text{Not used}","int((a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","-\frac{1}{b\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}","Not used",1,"-1/(b*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))","B"
2030,0,-1,120,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2031,0,-1,169,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2032,0,-1,223,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2033,0,-1,252,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^5)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^5}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^5)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2034,0,-1,201,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^4)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2035,0,-1,154,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^3)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2036,1,77,41,2.244838,"\text{Not used}","int(((a + b*x)*(d + e*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(a^2\,e^2+a\,b\,d\,e+3\,a\,b\,e^2\,x+b^2\,d^2+3\,b^2\,d\,e\,x+3\,b^2\,e^2\,x^2\right)}{3\,b^3\,{\left(a+b\,x\right)}^4}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(a^2*e^2 + b^2*d^2 + 3*b^2*e^2*x^2 + 3*a*b*e^2*x + 3*b^2*d*e*x + a*b*d*e))/(3*b^3*(a + b*x)^4)","B"
2037,1,43,68,2.159142,"\text{Not used}","int(((a + b*x)*(d + e*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\left(a\,e+2\,b\,d+3\,b\,e\,x\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{6\,b^2\,{\left(a+b\,x\right)}^4}","Not used",1,"-((a*e + 2*b*d + 3*b*e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(6*b^2*(a + b*x)^4)","B"
2038,1,30,27,2.090581,"\text{Not used}","int((a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{3\,b\,{\left(a+b\,x\right)}^4}","Not used",1,"-(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)/(3*b*(a + b*x)^4)","B"
2039,0,-1,210,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{\left(d+e\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2040,0,-1,260,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^2\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2041,0,-1,323,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^3\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2042,1,87,100,0.084217,"\text{Not used}","int((a + b*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{15/2}}{15\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^4}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}","Not used",1,"(2*b^3*(d + e*x)^(15/2))/(15*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(13/2))/(13*e^4) + (2*(a*e - b*d)^3*(d + e*x)^(9/2))/(9*e^4) + (6*b*(a*e - b*d)^2*(d + e*x)^(11/2))/(11*e^4)","B"
2043,1,87,100,2.067328,"\text{Not used}","int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}}{3\,e^4}","Not used",1,"(2*b^3*(d + e*x)^(13/2))/(13*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(11/2))/(11*e^4) + (2*(a*e - b*d)^3*(d + e*x)^(7/2))/(7*e^4) + (2*b*(a*e - b*d)^2*(d + e*x)^(9/2))/(3*e^4)","B"
2044,1,87,100,0.060946,"\text{Not used}","int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}","Not used",1,"(2*b^3*(d + e*x)^(11/2))/(11*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(9/2))/(9*e^4) + (2*(a*e - b*d)^3*(d + e*x)^(5/2))/(5*e^4) + (6*b*(a*e - b*d)^2*(d + e*x)^(7/2))/(7*e^4)","B"
2045,1,87,100,0.063044,"\text{Not used}","int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}","Not used",1,"(2*b^3*(d + e*x)^(9/2))/(9*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(7/2))/(7*e^4) + (2*(a*e - b*d)^3*(d + e*x)^(3/2))/(3*e^4) + (6*b*(a*e - b*d)^2*(d + e*x)^(5/2))/(5*e^4)","B"
2046,1,87,96,0.060548,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^(1/2),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}+\frac{2\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}}{e^4}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{e^4}","Not used",1,"(2*b^3*(d + e*x)^(7/2))/(7*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(5/2))/(5*e^4) + (2*(a*e - b*d)^3*(d + e*x)^(1/2))/e^4 + (2*b*(a*e - b*d)^2*(d + e*x)^(3/2))/e^4","B"
2047,1,114,94,2.065353,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^(3/2),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^{5/2}}{5\,e^4}-\frac{\left(6\,b^3\,d-6\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^4}-\frac{2\,a^3\,e^3-6\,a^2\,b\,d\,e^2+6\,a\,b^2\,d^2\,e-2\,b^3\,d^3}{e^4\,\sqrt{d+e\,x}}+\frac{6\,b\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}}{e^4}","Not used",1,"(2*b^3*(d + e*x)^(5/2))/(5*e^4) - ((6*b^3*d - 6*a*b^2*e)*(d + e*x)^(3/2))/(3*e^4) - (2*a^3*e^3 - 2*b^3*d^3 + 6*a*b^2*d^2*e - 6*a^2*b*d*e^2)/(e^4*(d + e*x)^(1/2)) + (6*b*(a*e - b*d)^2*(d + e*x)^(1/2))/e^4","B"
2048,1,128,96,0.074513,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^(5/2),x)","\frac{2\,b^3\,{\left(d+e\,x\right)}^3-2\,a^3\,e^3+2\,b^3\,d^3-18\,b^3\,d\,{\left(d+e\,x\right)}^2-18\,b^3\,d^2\,\left(d+e\,x\right)+18\,a\,b^2\,e\,{\left(d+e\,x\right)}^2-18\,a^2\,b\,e^2\,\left(d+e\,x\right)-6\,a\,b^2\,d^2\,e+6\,a^2\,b\,d\,e^2+36\,a\,b^2\,d\,e\,\left(d+e\,x\right)}{3\,e^4\,{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*b^3*(d + e*x)^3 - 2*a^3*e^3 + 2*b^3*d^3 - 18*b^3*d*(d + e*x)^2 - 18*b^3*d^2*(d + e*x) + 18*a*b^2*e*(d + e*x)^2 - 18*a^2*b*e^2*(d + e*x) - 6*a*b^2*d^2*e + 6*a^2*b*d*e^2 + 36*a*b^2*d*e*(d + e*x))/(3*e^4*(d + e*x)^(3/2))","B"
2049,1,114,94,2.063130,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x))/(d + e*x)^(7/2),x)","-\frac{2\,\left(a^3\,e^3+2\,a^2\,b\,d\,e^2+5\,a^2\,b\,e^3\,x+8\,a\,b^2\,d^2\,e+20\,a\,b^2\,d\,e^2\,x+15\,a\,b^2\,e^3\,x^2-16\,b^3\,d^3-40\,b^3\,d^2\,e\,x-30\,b^3\,d\,e^2\,x^2-5\,b^3\,e^3\,x^3\right)}{5\,e^4\,{\left(d+e\,x\right)}^{5/2}}","Not used",1,"-(2*(a^3*e^3 - 16*b^3*d^3 - 5*b^3*e^3*x^3 + 15*a*b^2*e^3*x^2 - 30*b^3*d*e^2*x^2 + 8*a*b^2*d^2*e + 2*a^2*b*d*e^2 + 5*a^2*b*e^3*x - 40*b^3*d^2*e*x + 20*a*b^2*d*e^2*x))/(5*e^4*(d + e*x)^(5/2))","B"
2050,1,137,158,0.068030,"\text{Not used}","int((a + b*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{19/2}}{19\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{17/2}}{17\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{4\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{15/2}}{3\,e^6}+\frac{10\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}","Not used",1,"(2*b^5*(d + e*x)^(19/2))/(19*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(17/2))/(17*e^6) + (2*(a*e - b*d)^5*(d + e*x)^(9/2))/(9*e^6) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(13/2))/(13*e^6) + (4*b^3*(a*e - b*d)^2*(d + e*x)^(15/2))/(3*e^6) + (10*b*(a*e - b*d)^4*(d + e*x)^(11/2))/(11*e^6)","B"
2051,1,137,158,2.045274,"\text{Not used}","int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{17/2}}{17\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{10\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}","Not used",1,"(2*b^5*(d + e*x)^(17/2))/(17*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(15/2))/(15*e^6) + (2*(a*e - b*d)^5*(d + e*x)^(7/2))/(7*e^6) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(11/2))/(11*e^6) + (20*b^3*(a*e - b*d)^2*(d + e*x)^(13/2))/(13*e^6) + (10*b*(a*e - b*d)^4*(d + e*x)^(9/2))/(9*e^6)","B"
2052,1,137,158,0.050519,"\text{Not used}","int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{15/2}}{15\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{10\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}","Not used",1,"(2*b^5*(d + e*x)^(15/2))/(15*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(13/2))/(13*e^6) + (2*(a*e - b*d)^5*(d + e*x)^(5/2))/(5*e^6) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(9/2))/(9*e^6) + (20*b^3*(a*e - b*d)^2*(d + e*x)^(11/2))/(11*e^6) + (10*b*(a*e - b*d)^4*(d + e*x)^(7/2))/(7*e^6)","B"
2053,1,137,156,0.048897,"\text{Not used}","int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{13/2}}{13\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{5/2}}{e^6}","Not used",1,"(2*b^5*(d + e*x)^(13/2))/(13*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(11/2))/(11*e^6) + (2*(a*e - b*d)^5*(d + e*x)^(3/2))/(3*e^6) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(7/2))/(7*e^6) + (20*b^3*(a*e - b*d)^2*(d + e*x)^(9/2))/(9*e^6) + (2*b*(a*e - b*d)^4*(d + e*x)^(5/2))/e^6","B"
2054,1,137,154,0.048752,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(1/2),x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{11/2}}{11\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}+\frac{2\,{\left(a\,e-b\,d\right)}^5\,\sqrt{d+e\,x}}{e^6}+\frac{4\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}}{e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}+\frac{10\,b\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}","Not used",1,"(2*b^5*(d + e*x)^(11/2))/(11*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(9/2))/(9*e^6) + (2*(a*e - b*d)^5*(d + e*x)^(1/2))/e^6 + (4*b^2*(a*e - b*d)^3*(d + e*x)^(5/2))/e^6 + (20*b^3*(a*e - b*d)^2*(d + e*x)^(7/2))/(7*e^6) + (10*b*(a*e - b*d)^4*(d + e*x)^(3/2))/(3*e^6)","B"
2055,1,192,152,2.036183,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(3/2),x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{9/2}}{9\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}-\frac{2\,a^5\,e^5-10\,a^4\,b\,d\,e^4+20\,a^3\,b^2\,d^2\,e^3-20\,a^2\,b^3\,d^3\,e^2+10\,a\,b^4\,d^4\,e-2\,b^5\,d^5}{e^6\,\sqrt{d+e\,x}}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}+\frac{4\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}}{e^6}+\frac{10\,b\,{\left(a\,e-b\,d\right)}^4\,\sqrt{d+e\,x}}{e^6}","Not used",1,"(2*b^5*(d + e*x)^(9/2))/(9*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(7/2))/(7*e^6) - (2*a^5*e^5 - 2*b^5*d^5 - 20*a^2*b^3*d^3*e^2 + 20*a^3*b^2*d^2*e^3 + 10*a*b^4*d^4*e - 10*a^4*b*d*e^4)/(e^6*(d + e*x)^(1/2)) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(3/2))/(3*e^6) + (4*b^3*(a*e - b*d)^2*(d + e*x)^(5/2))/e^6 + (10*b*(a*e - b*d)^4*(d + e*x)^(1/2))/e^6","B"
2056,1,229,152,2.020457,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(5/2),x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{7/2}}{7\,e^6}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}-\frac{\left(d+e\,x\right)\,\left(10\,a^4\,b\,e^4-40\,a^3\,b^2\,d\,e^3+60\,a^2\,b^3\,d^2\,e^2-40\,a\,b^4\,d^3\,e+10\,b^5\,d^4\right)+\frac{2\,a^5\,e^5}{3}-\frac{2\,b^5\,d^5}{3}-\frac{20\,a^2\,b^3\,d^3\,e^2}{3}+\frac{20\,a^3\,b^2\,d^2\,e^3}{3}+\frac{10\,a\,b^4\,d^4\,e}{3}-\frac{10\,a^4\,b\,d\,e^4}{3}}{e^6\,{\left(d+e\,x\right)}^{3/2}}+\frac{20\,b^2\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}}{e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}","Not used",1,"(2*b^5*(d + e*x)^(7/2))/(7*e^6) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(5/2))/(5*e^6) - ((d + e*x)*(10*b^5*d^4 + 10*a^4*b*e^4 - 40*a^3*b^2*d*e^3 + 60*a^2*b^3*d^2*e^2 - 40*a*b^4*d^3*e) + (2*a^5*e^5)/3 - (2*b^5*d^5)/3 - (20*a^2*b^3*d^3*e^2)/3 + (20*a^3*b^2*d^2*e^3)/3 + (10*a*b^4*d^4*e)/3 - (10*a^4*b*d*e^4)/3)/(e^6*(d + e*x)^(3/2)) + (20*b^2*(a*e - b*d)^3*(d + e*x)^(1/2))/e^6 + (20*b^3*(a*e - b*d)^2*(d + e*x)^(3/2))/(3*e^6)","B"
2057,1,255,154,0.082744,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^2)/(d + e*x)^(7/2),x)","\frac{2\,b^5\,{\left(d+e\,x\right)}^{5/2}}{5\,e^6}-\frac{\left(d+e\,x\right)\,\left(\frac{10\,a^4\,b\,e^4}{3}-\frac{40\,a^3\,b^2\,d\,e^3}{3}+20\,a^2\,b^3\,d^2\,e^2-\frac{40\,a\,b^4\,d^3\,e}{3}+\frac{10\,b^5\,d^4}{3}\right)-{\left(d+e\,x\right)}^2\,\left(-20\,a^3\,b^2\,e^3+60\,a^2\,b^3\,d\,e^2-60\,a\,b^4\,d^2\,e+20\,b^5\,d^3\right)+\frac{2\,a^5\,e^5}{5}-\frac{2\,b^5\,d^5}{5}-4\,a^2\,b^3\,d^3\,e^2+4\,a^3\,b^2\,d^2\,e^3+2\,a\,b^4\,d^4\,e-2\,a^4\,b\,d\,e^4}{e^6\,{\left(d+e\,x\right)}^{5/2}}-\frac{\left(10\,b^5\,d-10\,a\,b^4\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,e^6}+\frac{20\,b^3\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}}{e^6}","Not used",1,"(2*b^5*(d + e*x)^(5/2))/(5*e^6) - ((d + e*x)*((10*b^5*d^4)/3 + (10*a^4*b*e^4)/3 - (40*a^3*b^2*d*e^3)/3 + 20*a^2*b^3*d^2*e^2 - (40*a*b^4*d^3*e)/3) - (d + e*x)^2*(20*b^5*d^3 - 20*a^3*b^2*e^3 + 60*a^2*b^3*d*e^2 - 60*a*b^4*d^2*e) + (2*a^5*e^5)/5 - (2*b^5*d^5)/5 - 4*a^2*b^3*d^3*e^2 + 4*a^3*b^2*d^2*e^3 + 2*a*b^4*d^4*e - 2*a^4*b*d*e^4)/(e^6*(d + e*x)^(5/2)) - ((10*b^5*d - 10*a*b^4*e)*(d + e*x)^(3/2))/(3*e^6) + (20*b^3*(a*e - b*d)^2*(d + e*x)^(1/2))/e^6","B"
2058,1,187,216,2.082089,"\text{Not used}","int((a + b*x)*(d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{23/2}}{23\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{21/2}}{21\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^7\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{42\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{14\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{15/2}}{3\,e^8}+\frac{70\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}+\frac{42\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}+\frac{14\,b\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}","Not used",1,"(2*b^7*(d + e*x)^(23/2))/(23*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(21/2))/(21*e^8) + (2*(a*e - b*d)^7*(d + e*x)^(9/2))/(9*e^8) + (42*b^2*(a*e - b*d)^5*(d + e*x)^(13/2))/(13*e^8) + (14*b^3*(a*e - b*d)^4*(d + e*x)^(15/2))/(3*e^8) + (70*b^4*(a*e - b*d)^3*(d + e*x)^(17/2))/(17*e^8) + (42*b^5*(a*e - b*d)^2*(d + e*x)^(19/2))/(19*e^8) + (14*b*(a*e - b*d)^6*(d + e*x)^(11/2))/(11*e^8)","B"
2059,1,187,216,0.064114,"\text{Not used}","int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{21/2}}{21\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^7\,{\left(d+e\,x\right)}^{7/2}}{7\,e^8}+\frac{42\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{70\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{14\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{15/2}}{3\,e^8}+\frac{42\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}+\frac{14\,b\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}","Not used",1,"(2*b^7*(d + e*x)^(21/2))/(21*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(19/2))/(19*e^8) + (2*(a*e - b*d)^7*(d + e*x)^(7/2))/(7*e^8) + (42*b^2*(a*e - b*d)^5*(d + e*x)^(11/2))/(11*e^8) + (70*b^3*(a*e - b*d)^4*(d + e*x)^(13/2))/(13*e^8) + (14*b^4*(a*e - b*d)^3*(d + e*x)^(15/2))/(3*e^8) + (42*b^5*(a*e - b*d)^2*(d + e*x)^(17/2))/(17*e^8) + (14*b*(a*e - b*d)^6*(d + e*x)^(9/2))/(9*e^8)","B"
2060,1,187,214,2.044460,"\text{Not used}","int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{19/2}}{19\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^7\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}+\frac{14\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{9/2}}{3\,e^8}+\frac{70\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{70\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{14\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{15/2}}{5\,e^8}+\frac{2\,b\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{7/2}}{e^8}","Not used",1,"(2*b^7*(d + e*x)^(19/2))/(19*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(17/2))/(17*e^8) + (2*(a*e - b*d)^7*(d + e*x)^(5/2))/(5*e^8) + (14*b^2*(a*e - b*d)^5*(d + e*x)^(9/2))/(3*e^8) + (70*b^3*(a*e - b*d)^4*(d + e*x)^(11/2))/(11*e^8) + (70*b^4*(a*e - b*d)^3*(d + e*x)^(13/2))/(13*e^8) + (14*b^5*(a*e - b*d)^2*(d + e*x)^(15/2))/(5*e^8) + (2*b*(a*e - b*d)^6*(d + e*x)^(7/2))/e^8","B"
2061,1,187,214,2.054533,"\text{Not used}","int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{17/2}}{17\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^7\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}+\frac{6\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{7/2}}{e^8}+\frac{70\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{70\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{42\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{14\,b\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}","Not used",1,"(2*b^7*(d + e*x)^(17/2))/(17*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(15/2))/(15*e^8) + (2*(a*e - b*d)^7*(d + e*x)^(3/2))/(3*e^8) + (6*b^2*(a*e - b*d)^5*(d + e*x)^(7/2))/e^8 + (70*b^3*(a*e - b*d)^4*(d + e*x)^(9/2))/(9*e^8) + (70*b^4*(a*e - b*d)^3*(d + e*x)^(11/2))/(11*e^8) + (42*b^5*(a*e - b*d)^2*(d + e*x)^(13/2))/(13*e^8) + (14*b*(a*e - b*d)^6*(d + e*x)^(5/2))/(5*e^8)","B"
2062,1,187,212,2.065554,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(1/2),x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{15/2}}{15\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}+\frac{2\,{\left(a\,e-b\,d\right)}^7\,\sqrt{d+e\,x}}{e^8}+\frac{42\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}+\frac{10\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{7/2}}{e^8}+\frac{70\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}+\frac{42\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}+\frac{14\,b\,{\left(a\,e-b\,d\right)}^6\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}","Not used",1,"(2*b^7*(d + e*x)^(15/2))/(15*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(13/2))/(13*e^8) + (2*(a*e - b*d)^7*(d + e*x)^(1/2))/e^8 + (42*b^2*(a*e - b*d)^5*(d + e*x)^(5/2))/(5*e^8) + (10*b^3*(a*e - b*d)^4*(d + e*x)^(7/2))/e^8 + (70*b^4*(a*e - b*d)^3*(d + e*x)^(9/2))/(9*e^8) + (42*b^5*(a*e - b*d)^2*(d + e*x)^(11/2))/(11*e^8) + (14*b*(a*e - b*d)^6*(d + e*x)^(3/2))/(3*e^8)","B"
2063,1,270,206,2.068031,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(3/2),x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{13/2}}{13\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}-\frac{2\,a^7\,e^7-14\,a^6\,b\,d\,e^6+42\,a^5\,b^2\,d^2\,e^5-70\,a^4\,b^3\,d^3\,e^4+70\,a^3\,b^4\,d^4\,e^3-42\,a^2\,b^5\,d^5\,e^2+14\,a\,b^6\,d^6\,e-2\,b^7\,d^7}{e^8\,\sqrt{d+e\,x}}+\frac{14\,b^2\,{\left(a\,e-b\,d\right)}^5\,{\left(d+e\,x\right)}^{3/2}}{e^8}+\frac{14\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{5/2}}{e^8}+\frac{10\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{7/2}}{e^8}+\frac{14\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{9/2}}{3\,e^8}+\frac{14\,b\,{\left(a\,e-b\,d\right)}^6\,\sqrt{d+e\,x}}{e^8}","Not used",1,"(2*b^7*(d + e*x)^(13/2))/(13*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(11/2))/(11*e^8) - (2*a^7*e^7 - 2*b^7*d^7 - 42*a^2*b^5*d^5*e^2 + 70*a^3*b^4*d^4*e^3 - 70*a^4*b^3*d^3*e^4 + 42*a^5*b^2*d^2*e^5 + 14*a*b^6*d^6*e - 14*a^6*b*d*e^6)/(e^8*(d + e*x)^(1/2)) + (14*b^2*(a*e - b*d)^5*(d + e*x)^(3/2))/e^8 + (14*b^3*(a*e - b*d)^4*(d + e*x)^(5/2))/e^8 + (10*b^4*(a*e - b*d)^3*(d + e*x)^(7/2))/e^8 + (14*b^5*(a*e - b*d)^2*(d + e*x)^(9/2))/(3*e^8) + (14*b*(a*e - b*d)^6*(d + e*x)^(1/2))/e^8","B"
2064,1,335,208,2.047790,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(5/2),x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{11/2}}{11\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}-\frac{\left(d+e\,x\right)\,\left(14\,a^6\,b\,e^6-84\,a^5\,b^2\,d\,e^5+210\,a^4\,b^3\,d^2\,e^4-280\,a^3\,b^4\,d^3\,e^3+210\,a^2\,b^5\,d^4\,e^2-84\,a\,b^6\,d^5\,e+14\,b^7\,d^6\right)+\frac{2\,a^7\,e^7}{3}-\frac{2\,b^7\,d^7}{3}-14\,a^2\,b^5\,d^5\,e^2+\frac{70\,a^3\,b^4\,d^4\,e^3}{3}-\frac{70\,a^4\,b^3\,d^3\,e^4}{3}+14\,a^5\,b^2\,d^2\,e^5+\frac{14\,a\,b^6\,d^6\,e}{3}-\frac{14\,a^6\,b\,d\,e^6}{3}}{e^8\,{\left(d+e\,x\right)}^{3/2}}+\frac{42\,b^2\,{\left(a\,e-b\,d\right)}^5\,\sqrt{d+e\,x}}{e^8}+\frac{70\,b^3\,{\left(a\,e-b\,d\right)}^4\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}+\frac{14\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{5/2}}{e^8}+\frac{6\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{7/2}}{e^8}","Not used",1,"(2*b^7*(d + e*x)^(11/2))/(11*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(9/2))/(9*e^8) - ((d + e*x)*(14*b^7*d^6 + 14*a^6*b*e^6 - 84*a^5*b^2*d*e^5 + 210*a^2*b^5*d^4*e^2 - 280*a^3*b^4*d^3*e^3 + 210*a^4*b^3*d^2*e^4 - 84*a*b^6*d^5*e) + (2*a^7*e^7)/3 - (2*b^7*d^7)/3 - 14*a^2*b^5*d^5*e^2 + (70*a^3*b^4*d^4*e^3)/3 - (70*a^4*b^3*d^3*e^4)/3 + 14*a^5*b^2*d^2*e^5 + (14*a*b^6*d^6*e)/3 - (14*a^6*b*d*e^6)/3)/(e^8*(d + e*x)^(3/2)) + (42*b^2*(a*e - b*d)^5*(d + e*x)^(1/2))/e^8 + (70*b^3*(a*e - b*d)^4*(d + e*x)^(3/2))/(3*e^8) + (14*b^4*(a*e - b*d)^3*(d + e*x)^(5/2))/e^8 + (6*b^5*(a*e - b*d)^2*(d + e*x)^(7/2))/e^8","B"
2065,1,388,210,0.075454,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3)/(d + e*x)^(7/2),x)","\frac{2\,b^7\,{\left(d+e\,x\right)}^{9/2}}{9\,e^8}-\frac{\left(14\,b^7\,d-14\,a\,b^6\,e\right)\,{\left(d+e\,x\right)}^{7/2}}{7\,e^8}+\frac{{\left(d+e\,x\right)}^2\,\left(-42\,a^5\,b^2\,e^5+210\,a^4\,b^3\,d\,e^4-420\,a^3\,b^4\,d^2\,e^3+420\,a^2\,b^5\,d^3\,e^2-210\,a\,b^6\,d^4\,e+42\,b^7\,d^5\right)-\left(d+e\,x\right)\,\left(\frac{14\,a^6\,b\,e^6}{3}-28\,a^5\,b^2\,d\,e^5+70\,a^4\,b^3\,d^2\,e^4-\frac{280\,a^3\,b^4\,d^3\,e^3}{3}+70\,a^2\,b^5\,d^4\,e^2-28\,a\,b^6\,d^5\,e+\frac{14\,b^7\,d^6}{3}\right)-\frac{2\,a^7\,e^7}{5}+\frac{2\,b^7\,d^7}{5}+\frac{42\,a^2\,b^5\,d^5\,e^2}{5}-14\,a^3\,b^4\,d^4\,e^3+14\,a^4\,b^3\,d^3\,e^4-\frac{42\,a^5\,b^2\,d^2\,e^5}{5}-\frac{14\,a\,b^6\,d^6\,e}{5}+\frac{14\,a^6\,b\,d\,e^6}{5}}{e^8\,{\left(d+e\,x\right)}^{5/2}}+\frac{70\,b^3\,{\left(a\,e-b\,d\right)}^4\,\sqrt{d+e\,x}}{e^8}+\frac{70\,b^4\,{\left(a\,e-b\,d\right)}^3\,{\left(d+e\,x\right)}^{3/2}}{3\,e^8}+\frac{42\,b^5\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{5/2}}{5\,e^8}","Not used",1,"(2*b^7*(d + e*x)^(9/2))/(9*e^8) - ((14*b^7*d - 14*a*b^6*e)*(d + e*x)^(7/2))/(7*e^8) + ((d + e*x)^2*(42*b^7*d^5 - 42*a^5*b^2*e^5 + 210*a^4*b^3*d*e^4 + 420*a^2*b^5*d^3*e^2 - 420*a^3*b^4*d^2*e^3 - 210*a*b^6*d^4*e) - (d + e*x)*((14*b^7*d^6)/3 + (14*a^6*b*e^6)/3 - 28*a^5*b^2*d*e^5 + 70*a^2*b^5*d^4*e^2 - (280*a^3*b^4*d^3*e^3)/3 + 70*a^4*b^3*d^2*e^4 - 28*a*b^6*d^5*e) - (2*a^7*e^7)/5 + (2*b^7*d^7)/5 + (42*a^2*b^5*d^5*e^2)/5 - 14*a^3*b^4*d^4*e^3 + 14*a^4*b^3*d^3*e^4 - (42*a^5*b^2*d^2*e^5)/5 - (14*a*b^6*d^6*e)/5 + (14*a^6*b*d*e^6)/5)/(e^8*(d + e*x)^(5/2)) + (70*b^3*(a*e - b*d)^4*(d + e*x)^(1/2))/e^8 + (70*b^4*(a*e - b*d)^3*(d + e*x)^(3/2))/(3*e^8) + (42*b^5*(a*e - b*d)^2*(d + e*x)^(5/2))/(5*e^8)","B"
2066,1,165,138,2.059176,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,{\left(d+e\,x\right)}^{7/2}}{7\,b}-\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{5\,b^2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{7/2}\,\sqrt{d+e\,x}}{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)}^{7/2}}{b^{9/2}}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^{3/2}}{3\,b^3}-\frac{2\,{\left(a\,e-b\,d\right)}^3\,\sqrt{d+e\,x}}{b^4}","Not used",1,"(2*(d + e*x)^(7/2))/(7*b) - (2*(a*e - b*d)*(d + e*x)^(5/2))/(5*b^2) + (2*atan((b^(1/2)*(a*e - b*d)^(7/2)*(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)^(7/2))/b^(9/2) + (2*(a*e - b*d)^2*(d + e*x)^(3/2))/(3*b^3) - (2*(a*e - b*d)^3*(d + e*x)^(1/2))/b^4","B"
2067,1,130,112,0.072299,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,{\left(d+e\,x\right)}^{5/2}}{5\,b}-\frac{2\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,b^2}+\frac{2\,{\left(a\,e-b\,d\right)}^2\,\sqrt{d+e\,x}}{b^3}-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{5/2}\,\sqrt{d+e\,x}}{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)}^{5/2}}{b^{7/2}}","Not used",1,"(2*(d + e*x)^(5/2))/(5*b) - (2*(a*e - b*d)*(d + e*x)^(3/2))/(3*b^2) + (2*(a*e - b*d)^2*(d + e*x)^(1/2))/b^3 - (2*atan((b^(1/2)*(a*e - b*d)^(5/2)*(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)^(5/2))/b^(7/2)","B"
2068,1,93,86,0.073527,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,{\left(d+e\,x\right)}^{3/2}}{3\,b}-\frac{2\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}{b^2}+\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}}{a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2}\right)\,{\left(a\,e-b\,d\right)}^{3/2}}{b^{5/2}}","Not used",1,"(2*(d + e*x)^(3/2))/(3*b) - (2*(a*e - b*d)*(d + e*x)^(1/2))/b^2 + (2*atan((b^(1/2)*(a*e - b*d)^(3/2)*(d + e*x)^(1/2))/(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))*(a*e - b*d)^(3/2))/b^(5/2)","B"
2069,1,50,62,0.059276,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{2\,\sqrt{d+e\,x}}{b}-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)\,\sqrt{a\,e-b\,d}}{b^{3/2}}","Not used",1,"(2*(d + e*x)^(1/2))/b - (2*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2))*(a*e - b*d)^(1/2))/b^(3/2)","B"
2070,1,38,47,2.047344,"\text{Not used}","int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{b\,\sqrt{d+e\,x}}{\sqrt{a\,b\,e-b^2\,d}}\right)}{\sqrt{a\,b\,e-b^2\,d}}","Not used",1,"(2*atan((b*(d + e*x)^(1/2))/(a*b*e - b^2*d)^(1/2)))/(a*b*e - b^2*d)^(1/2)","B"
2071,1,57,69,2.074369,"\text{Not used}","int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)),x)","-\frac{2}{\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}-\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{{\left(a\,e-b\,d\right)}^{3/2}}","Not used",1,"- 2/((a*e - b*d)*(d + e*x)^(1/2)) - (2*b^(1/2)*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(a*e - b*d)^(3/2)","B"
2072,1,100,93,2.089568,"\text{Not used}","int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)),x)","\frac{2\,b^{3/2}\,\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\,e-b\,d\right)}^{5/2}}-\frac{\frac{2}{3\,\left(a\,e-b\,d\right)}-\frac{2\,b\,\left(d+e\,x\right)}{{\left(a\,e-b\,d\right)}^2}}{{\left(d+e\,x\right)}^{3/2}}","Not used",1,"(2*b^(3/2)*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*e - b*d)^(5/2) - (2/(3*(a*e - b*d)) - (2*b*(d + e*x))/(a*e - b*d)^2)/(d + e*x)^(3/2)","B"
2073,1,137,119,0.124251,"\text{Not used}","int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)),x)","-\frac{\frac{2}{5\,\left(a\,e-b\,d\right)}+\frac{2\,b^2\,{\left(d+e\,x\right)}^2}{{\left(a\,e-b\,d\right)}^3}-\frac{2\,b\,\left(d+e\,x\right)}{3\,{\left(a\,e-b\,d\right)}^2}}{{\left(d+e\,x\right)}^{5/2}}-\frac{2\,b^{5/2}\,\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\,e-b\,d\right)}^{7/2}}","Not used",1,"- (2/(5*(a*e - b*d)) + (2*b^2*(d + e*x)^2)/(a*e - b*d)^3 - (2*b*(d + e*x))/(3*(a*e - b*d)^2))/(d + e*x)^(5/2) - (2*b^(5/2)*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*e - b*d)^(7/2)","B"
2074,1,361,175,0.142961,"\text{Not used}","int(((a + b*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\left(\frac{2\,e^2\,{\left(3\,b^3\,d-3\,a\,b^2\,e\right)}^2}{b^9}-\frac{6\,e^2\,{\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\,a^3\,b\,e^5}{4}-\frac{51\,a^2\,b^2\,d\,e^4}{4}+\frac{51\,a\,b^3\,d^2\,e^3}{4}-\frac{17\,b^4\,d^3\,e^2}{4}\right)+\sqrt{d+e\,x}\,\left(\frac{15\,a^4\,e^6}{4}-15\,a^3\,b\,d\,e^5+\frac{45\,a^2\,b^2\,d^2\,e^4}{2}-15\,a\,b^3\,d^3\,e^3+\frac{15\,b^4\,d^4\,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\,e^2\,{\left(d+e\,x\right)}^{5/2}}{5\,b^3}+\frac{2\,e^2\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,{\left(d+e\,x\right)}^{3/2}}{3\,b^6}-\frac{63\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,{\left(a\,e-b\,d\right)}^{5/2}\,\sqrt{d+e\,x}}{a^3\,e^5-3\,a^2\,b\,d\,e^4+3\,a\,b^2\,d^2\,e^3-b^3\,d^3\,e^2}\right)\,{\left(a\,e-b\,d\right)}^{5/2}}{4\,b^{11/2}}","Not used",1,"((2*e^2*(3*b^3*d - 3*a*b^2*e)^2)/b^9 - (6*e^2*(a*e - b*d)^2)/b^5)*(d + e*x)^(1/2) + ((d + e*x)^(3/2)*((17*a^3*b*e^5)/4 - (17*b^4*d^3*e^2)/4 + (51*a*b^3*d^2*e^3)/4 - (51*a^2*b^2*d*e^4)/4) + (d + e*x)^(1/2)*((15*a^4*e^6)/4 + (15*b^4*d^4*e^2)/4 - 15*a*b^3*d^3*e^3 + (45*a^2*b^2*d^2*e^4)/2 - 15*a^3*b*d*e^5))/(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*e^2*(d + e*x)^(5/2))/(5*b^3) + (2*e^2*(3*b^3*d - 3*a*b^2*e)*(d + e*x)^(3/2))/(3*b^6) - (63*e^2*atan((b^(1/2)*e^2*(a*e - b*d)^(5/2)*(d + e*x)^(1/2))/(a^3*e^5 - b^3*d^3*e^2 + 3*a*b^2*d^2*e^3 - 3*a^2*b*d*e^4))*(a*e - b*d)^(5/2))/(4*b^(11/2))","B"
2075,1,268,146,0.142324,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,e^2\,{\left(d+e\,x\right)}^{3/2}}{3\,b^3}-\frac{\sqrt{d+e\,x}\,\left(\frac{11\,a^3\,e^5}{4}-\frac{33\,a^2\,b\,d\,e^4}{4}+\frac{33\,a\,b^2\,d^2\,e^3}{4}-\frac{11\,b^3\,d^3\,e^2}{4}\right)+{\left(d+e\,x\right)}^{3/2}\,\left(\frac{13\,a^2\,b\,e^4}{4}-\frac{13\,a\,b^2\,d\,e^3}{2}+\frac{13\,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\,e^2\,\left(3\,b^3\,d-3\,a\,b^2\,e\right)\,\sqrt{d+e\,x}}{b^6}+\frac{35\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}}{a^2\,e^4-2\,a\,b\,d\,e^3+b^2\,d^2\,e^2}\right)\,{\left(a\,e-b\,d\right)}^{3/2}}{4\,b^{9/2}}","Not used",1,"(2*e^2*(d + e*x)^(3/2))/(3*b^3) - ((d + e*x)^(1/2)*((11*a^3*e^5)/4 - (11*b^3*d^3*e^2)/4 + (33*a*b^2*d^2*e^3)/4 - (33*a^2*b*d*e^4)/4) + (d + e*x)^(3/2)*((13*a^2*b*e^4)/4 + (13*b^3*d^2*e^2)/4 - (13*a*b^2*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*e^2*(3*b^3*d - 3*a*b^2*e)*(d + e*x)^(1/2))/b^6 + (35*e^2*atan((b^(1/2)*e^2*(a*e - b*d)^(3/2)*(d + e*x)^(1/2))/(a^2*e^4 + b^2*d^2*e^2 - 2*a*b*d*e^3))*(a*e - b*d)^(3/2))/(4*b^(9/2))","B"
2076,1,199,119,2.159384,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{2\,e^2\,\sqrt{d+e\,x}}{b^3}-\frac{\left(\frac{9\,b^2\,d\,e^2}{4}-\frac{9\,a\,b\,e^3}{4}\right)\,{\left(d+e\,x\right)}^{3/2}-\sqrt{d+e\,x}\,\left(\frac{7\,a^2\,e^4}{4}-\frac{7\,a\,b\,d\,e^3}{2}+\frac{7\,b^2\,d^2\,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{15\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^2\,\sqrt{a\,e-b\,d}\,\sqrt{d+e\,x}}{a\,e^3-b\,d\,e^2}\right)\,\sqrt{a\,e-b\,d}}{4\,b^{7/2}}","Not used",1,"(2*e^2*(d + e*x)^(1/2))/b^3 - (((9*b^2*d*e^2)/4 - (9*a*b*e^3)/4)*(d + e*x)^(3/2) - (d + e*x)^(1/2)*((7*a^2*e^4)/4 + (7*b^2*d^2*e^2)/4 - (7*a*b*d*e^3)/2))/(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) - (15*e^2*atan((b^(1/2)*e^2*(a*e - b*d)^(1/2)*(d + e*x)^(1/2))/(a*e^3 - b*d*e^2))*(a*e - b*d)^(1/2))/(4*b^(7/2))","B"
2077,1,135,100,0.121178,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{3\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{4\,b^{5/2}\,\sqrt{a\,e-b\,d}}-\frac{\frac{5\,e^2\,{\left(d+e\,x\right)}^{3/2}}{4\,b}+\frac{3\,e^2\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}{4\,b^2}}{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,"(3*e^2*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(4*b^(5/2)*(a*e - b*d)^(1/2)) - ((5*e^2*(d + e*x)^(3/2))/(4*b) + (3*e^2*(a*e - b*d)*(d + e*x)^(1/2))/(4*b^2))/(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"
2078,1,135,110,0.101309,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{4\,b^{3/2}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{\frac{e^2\,\sqrt{d+e\,x}}{4\,b}-\frac{e^2\,{\left(d+e\,x\right)}^{3/2}}{4\,\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^2*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(4*b^(3/2)*(a*e - b*d)^(3/2)) - ((e^2*(d + e*x)^(1/2))/(4*b) - (e^2*(d + e*x)^(3/2))/(4*(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"
2079,1,142,114,2.147539,"\text{Not used}","int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{5\,e^2\,\sqrt{d+e\,x}}{4\,\left(a\,e-b\,d\right)}+\frac{3\,b\,e^2\,{\left(d+e\,x\right)}^{3/2}}{4\,{\left(a\,e-b\,d\right)}^2}}{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{3\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{4\,\sqrt{b}\,{\left(a\,e-b\,d\right)}^{5/2}}","Not used",1,"((5*e^2*(d + e*x)^(1/2))/(4*(a*e - b*d)) + (3*b*e^2*(d + e*x)^(3/2))/(4*(a*e - b*d)^2))/(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) + (3*e^2*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(4*b^(1/2)*(a*e - b*d)^(5/2))","B"
2080,1,205,140,2.320943,"\text{Not used}","int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","-\frac{\frac{2\,e^2}{a\,e-b\,d}+\frac{15\,b^2\,e^2\,{\left(d+e\,x\right)}^2}{4\,{\left(a\,e-b\,d\right)}^3}+\frac{25\,b\,e^2\,\left(d+e\,x\right)}{4\,{\left(a\,e-b\,d\right)}^2}}{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{15\,\sqrt{b}\,e^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)}{4\,{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"- ((2*e^2)/(a*e - b*d) + (15*b^2*e^2*(d + e*x)^2)/(4*(a*e - b*d)^3) + (25*b*e^2*(d + e*x))/(4*(a*e - b*d)^2))/(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)) - (15*b^(1/2)*e^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)))/(4*(a*e - b*d)^(7/2))","B"
2081,1,243,167,2.536130,"\text{Not used}","int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","\frac{\frac{175\,b^2\,e^2\,{\left(d+e\,x\right)}^2}{12\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,e^2}{3\,\left(a\,e-b\,d\right)}+\frac{35\,b^3\,e^2\,{\left(d+e\,x\right)}^3}{4\,{\left(a\,e-b\,d\right)}^4}+\frac{14\,b\,e^2\,\left(d+e\,x\right)}{3\,{\left(a\,e-b\,d\right)}^2}}{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{35\,b^{3/2}\,e^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)}{4\,{\left(a\,e-b\,d\right)}^{9/2}}","Not used",1,"((175*b^2*e^2*(d + e*x)^2)/(12*(a*e - b*d)^3) - (2*e^2)/(3*(a*e - b*d)) + (35*b^3*e^2*(d + e*x)^3)/(4*(a*e - b*d)^4) + (14*b*e^2*(d + e*x))/(3*(a*e - b*d)^2))/(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)) + (35*b^(3/2)*e^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)))/(4*(a*e - b*d)^(9/2))","B"
2082,1,284,196,2.541799,"\text{Not used}","int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^2),x)","-\frac{\frac{2\,e^2}{5\,\left(a\,e-b\,d\right)}+\frac{42\,b^2\,e^2\,{\left(d+e\,x\right)}^2}{5\,{\left(a\,e-b\,d\right)}^3}+\frac{105\,b^3\,e^2\,{\left(d+e\,x\right)}^3}{4\,{\left(a\,e-b\,d\right)}^4}+\frac{63\,b^4\,e^2\,{\left(d+e\,x\right)}^4}{4\,{\left(a\,e-b\,d\right)}^5}-\frac{6\,b\,e^2\,\left(d+e\,x\right)}{5\,{\left(a\,e-b\,d\right)}^2}}{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{63\,b^{5/2}\,e^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\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}}\right)}{4\,{\left(a\,e-b\,d\right)}^{11/2}}","Not used",1,"- ((2*e^2)/(5*(a*e - b*d)) + (42*b^2*e^2*(d + e*x)^2)/(5*(a*e - b*d)^3) + (105*b^3*e^2*(d + e*x)^3)/(4*(a*e - b*d)^4) + (63*b^4*e^2*(d + e*x)^4)/(4*(a*e - b*d)^5) - (6*b*e^2*(d + e*x))/(5*(a*e - b*d)^2))/(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)) - (63*b^(5/2)*e^2*atan((b^(1/2)*(d + e*x)^(1/2)*(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))/(a*e - b*d)^(11/2)))/(4*(a*e - b*d)^(11/2))","B"
2083,1,535,198,2.252323,"\text{Not used}","int(((a + b*x)*(d + e*x)^(11/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{2\,e^4\,{\left(d+e\,x\right)}^{3/2}}{3\,b^5}-\frac{{\left(d+e\,x\right)}^{7/2}\,\left(\frac{765\,a^2\,b^3\,e^6}{64}-\frac{765\,a\,b^4\,d\,e^5}{32}+\frac{765\,b^5\,d^2\,e^4}{64}\right)+\sqrt{d+e\,x}\,\left(\frac{515\,a^5\,e^9}{64}-\frac{2575\,a^4\,b\,d\,e^8}{64}+\frac{2575\,a^3\,b^2\,d^2\,e^7}{32}-\frac{2575\,a^2\,b^3\,d^3\,e^6}{32}+\frac{2575\,a\,b^4\,d^4\,e^5}{64}-\frac{515\,b^5\,d^5\,e^4}{64}\right)+{\left(d+e\,x\right)}^{5/2}\,\left(\frac{5855\,a^3\,b^2\,e^7}{192}-\frac{5855\,a^2\,b^3\,d\,e^6}{64}+\frac{5855\,a\,b^4\,d^2\,e^5}{64}-\frac{5855\,b^5\,d^3\,e^4}{192}\right)+{\left(d+e\,x\right)}^{3/2}\,\left(\frac{5153\,a^4\,b\,e^8}{192}-\frac{5153\,a^3\,b^2\,d\,e^7}{48}+\frac{5153\,a^2\,b^3\,d^2\,e^6}{32}-\frac{5153\,a\,b^4\,d^3\,e^5}{48}+\frac{5153\,b^5\,d^4\,e^4}{192}\right)}{b^{10}\,{\left(d+e\,x\right)}^4-\left(4\,b^{10}\,d-4\,a\,b^9\,e\right)\,{\left(d+e\,x\right)}^3+b^{10}\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^8\,e^2-12\,a\,b^9\,d\,e+6\,b^{10}\,d^2\right)-\left(d+e\,x\right)\,\left(-4\,a^3\,b^7\,e^3+12\,a^2\,b^8\,d\,e^2-12\,a\,b^9\,d^2\,e+4\,b^{10}\,d^3\right)+a^4\,b^6\,e^4-4\,a^3\,b^7\,d\,e^3+6\,a^2\,b^8\,d^2\,e^2-4\,a\,b^9\,d^3\,e}+\frac{2\,e^4\,\left(5\,b^5\,d-5\,a\,b^4\,e\right)\,\sqrt{d+e\,x}}{b^{10}}+\frac{1155\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,{\left(a\,e-b\,d\right)}^{3/2}\,\sqrt{d+e\,x}}{a^2\,e^6-2\,a\,b\,d\,e^5+b^2\,d^2\,e^4}\right)\,{\left(a\,e-b\,d\right)}^{3/2}}{64\,b^{13/2}}","Not used",1,"(2*e^4*(d + e*x)^(3/2))/(3*b^5) - ((d + e*x)^(7/2)*((765*a^2*b^3*e^6)/64 + (765*b^5*d^2*e^4)/64 - (765*a*b^4*d*e^5)/32) + (d + e*x)^(1/2)*((515*a^5*e^9)/64 - (515*b^5*d^5*e^4)/64 + (2575*a*b^4*d^4*e^5)/64 - (2575*a^2*b^3*d^3*e^6)/32 + (2575*a^3*b^2*d^2*e^7)/32 - (2575*a^4*b*d*e^8)/64) + (d + e*x)^(5/2)*((5855*a^3*b^2*e^7)/192 - (5855*b^5*d^3*e^4)/192 + (5855*a*b^4*d^2*e^5)/64 - (5855*a^2*b^3*d*e^6)/64) + (d + e*x)^(3/2)*((5153*a^4*b*e^8)/192 + (5153*b^5*d^4*e^4)/192 - (5153*a*b^4*d^3*e^5)/48 - (5153*a^3*b^2*d*e^7)/48 + (5153*a^2*b^3*d^2*e^6)/32))/(b^10*(d + e*x)^4 - (4*b^10*d - 4*a*b^9*e)*(d + e*x)^3 + b^10*d^4 + (d + e*x)^2*(6*b^10*d^2 + 6*a^2*b^8*e^2 - 12*a*b^9*d*e) - (d + e*x)*(4*b^10*d^3 - 4*a^3*b^7*e^3 + 12*a^2*b^8*d*e^2 - 12*a*b^9*d^2*e) + a^4*b^6*e^4 - 4*a^3*b^7*d*e^3 + 6*a^2*b^8*d^2*e^2 - 4*a*b^9*d^3*e) + (2*e^4*(5*b^5*d - 5*a*b^4*e)*(d + e*x)^(1/2))/b^10 + (1155*e^4*atan((b^(1/2)*e^4*(a*e - b*d)^(3/2)*(d + e*x)^(1/2))/(a^2*e^6 + b^2*d^2*e^4 - 2*a*b*d*e^5))*(a*e - b*d)^(3/2))/(64*b^(13/2))","B"
2084,1,436,171,2.253602,"\text{Not used}","int(((a + b*x)*(d + e*x)^(9/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^{5/2}\,\left(\frac{765\,a^2\,b^2\,e^6}{64}-\frac{765\,a\,b^3\,d\,e^5}{32}+\frac{765\,b^4\,d^2\,e^4}{64}\right)+{\left(d+e\,x\right)}^{3/2}\,\left(\frac{643\,a^3\,b\,e^7}{64}-\frac{1929\,a^2\,b^2\,d\,e^6}{64}+\frac{1929\,a\,b^3\,d^2\,e^5}{64}-\frac{643\,b^4\,d^3\,e^4}{64}\right)+\left(\frac{325\,a\,b^3\,e^5}{64}-\frac{325\,b^4\,d\,e^4}{64}\right)\,{\left(d+e\,x\right)}^{7/2}+\sqrt{d+e\,x}\,\left(\frac{187\,a^4\,e^8}{64}-\frac{187\,a^3\,b\,d\,e^7}{16}+\frac{561\,a^2\,b^2\,d^2\,e^6}{32}-\frac{187\,a\,b^3\,d^3\,e^5}{16}+\frac{187\,b^4\,d^4\,e^4}{64}\right)}{b^9\,{\left(d+e\,x\right)}^4-\left(4\,b^9\,d-4\,a\,b^8\,e\right)\,{\left(d+e\,x\right)}^3+b^9\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^7\,e^2-12\,a\,b^8\,d\,e+6\,b^9\,d^2\right)-\left(d+e\,x\right)\,\left(-4\,a^3\,b^6\,e^3+12\,a^2\,b^7\,d\,e^2-12\,a\,b^8\,d^2\,e+4\,b^9\,d^3\right)+a^4\,b^5\,e^4-4\,a^3\,b^6\,d\,e^3+6\,a^2\,b^7\,d^2\,e^2-4\,a\,b^8\,d^3\,e}+\frac{2\,e^4\,\sqrt{d+e\,x}}{b^5}-\frac{315\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,e^4\,\sqrt{a\,e-b\,d}\,\sqrt{d+e\,x}}{a\,e^5-b\,d\,e^4}\right)\,\sqrt{a\,e-b\,d}}{64\,b^{11/2}}","Not used",1,"((d + e*x)^(5/2)*((765*a^2*b^2*e^6)/64 + (765*b^4*d^2*e^4)/64 - (765*a*b^3*d*e^5)/32) + (d + e*x)^(3/2)*((643*a^3*b*e^7)/64 - (643*b^4*d^3*e^4)/64 + (1929*a*b^3*d^2*e^5)/64 - (1929*a^2*b^2*d*e^6)/64) + ((325*a*b^3*e^5)/64 - (325*b^4*d*e^4)/64)*(d + e*x)^(7/2) + (d + e*x)^(1/2)*((187*a^4*e^8)/64 + (187*b^4*d^4*e^4)/64 - (187*a*b^3*d^3*e^5)/16 + (561*a^2*b^2*d^2*e^6)/32 - (187*a^3*b*d*e^7)/16))/(b^9*(d + e*x)^4 - (4*b^9*d - 4*a*b^8*e)*(d + e*x)^3 + b^9*d^4 + (d + e*x)^2*(6*b^9*d^2 + 6*a^2*b^7*e^2 - 12*a*b^8*d*e) - (d + e*x)*(4*b^9*d^3 - 4*a^3*b^6*e^3 + 12*a^2*b^7*d*e^2 - 12*a*b^8*d^2*e) + a^4*b^5*e^4 - 4*a^3*b^6*d*e^3 + 6*a^2*b^7*d^2*e^2 - 4*a*b^8*d^3*e) + (2*e^4*(d + e*x)^(1/2))/b^5 - (315*e^4*atan((b^(1/2)*e^4*(a*e - b*d)^(1/2)*(d + e*x)^(1/2))/(a*e^5 - b*d*e^4))*(a*e - b*d)^(1/2))/(64*b^(11/2))","B"
2085,1,337,152,0.180801,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{35\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{64\,b^{9/2}\,\sqrt{a\,e-b\,d}}-\frac{\frac{93\,e^4\,{\left(d+e\,x\right)}^{7/2}}{64\,b}+\frac{385\,e^4\,{\left(d+e\,x\right)}^{3/2}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{192\,b^3}+\frac{35\,e^4\,\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)}{64\,b^4}+\frac{511\,e^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{5/2}}{192\,b^2}}{b^4\,{\left(d+e\,x\right)}^4-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^3-\left(d+e\,x\right)\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)+a^4\,e^4+b^4\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e-4\,a^3\,b\,d\,e^3}","Not used",1,"(35*e^4*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(64*b^(9/2)*(a*e - b*d)^(1/2)) - ((93*e^4*(d + e*x)^(7/2))/(64*b) + (385*e^4*(d + e*x)^(3/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(192*b^3) + (35*e^4*(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))/(64*b^4) + (511*e^4*(a*e - b*d)*(d + e*x)^(5/2))/(192*b^2))/(b^4*(d + e*x)^4 - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^3 - (d + e*x)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e) + a^4*e^4 + b^4*d^4 + (d + e*x)^2*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)","B"
2086,1,309,162,2.116882,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{5\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{64\,b^{7/2}\,{\left(a\,e-b\,d\right)}^{3/2}}-\frac{\frac{73\,e^4\,{\left(d+e\,x\right)}^{5/2}}{192\,b}-\frac{5\,e^4\,{\left(d+e\,x\right)}^{7/2}}{64\,\left(a\,e-b\,d\right)}+\frac{5\,e^4\,\sqrt{d+e\,x}\,\left(a^2\,e^2-2\,a\,b\,d\,e+b^2\,d^2\right)}{64\,b^3}+\frac{55\,e^4\,\left(a\,e-b\,d\right)\,{\left(d+e\,x\right)}^{3/2}}{192\,b^2}}{b^4\,{\left(d+e\,x\right)}^4-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^3-\left(d+e\,x\right)\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)+a^4\,e^4+b^4\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e-4\,a^3\,b\,d\,e^3}","Not used",1,"(5*e^4*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(64*b^(7/2)*(a*e - b*d)^(3/2)) - ((73*e^4*(d + e*x)^(5/2))/(192*b) - (5*e^4*(d + e*x)^(7/2))/(64*(a*e - b*d)) + (5*e^4*(d + e*x)^(1/2)*(a^2*e^2 + b^2*d^2 - 2*a*b*d*e))/(64*b^3) + (55*e^4*(a*e - b*d)*(d + e*x)^(3/2))/(192*b^2))/(b^4*(d + e*x)^4 - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^3 - (d + e*x)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e) + a^4*e^4 + b^4*d^4 + (d + e*x)^2*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)","B"
2087,1,296,172,2.144125,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{3\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{64\,b^{5/2}\,{\left(a\,e-b\,d\right)}^{5/2}}-\frac{\frac{11\,e^4\,{\left(d+e\,x\right)}^{3/2}}{64\,b}-\frac{11\,e^4\,{\left(d+e\,x\right)}^{5/2}}{64\,\left(a\,e-b\,d\right)}+\frac{3\,e^4\,\left(a\,e-b\,d\right)\,\sqrt{d+e\,x}}{64\,b^2}-\frac{3\,b\,e^4\,{\left(d+e\,x\right)}^{7/2}}{64\,{\left(a\,e-b\,d\right)}^2}}{b^4\,{\left(d+e\,x\right)}^4-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^3-\left(d+e\,x\right)\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)+a^4\,e^4+b^4\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e-4\,a^3\,b\,d\,e^3}","Not used",1,"(3*e^4*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(64*b^(5/2)*(a*e - b*d)^(5/2)) - ((11*e^4*(d + e*x)^(3/2))/(64*b) - (11*e^4*(d + e*x)^(5/2))/(64*(a*e - b*d)) + (3*e^4*(a*e - b*d)*(d + e*x)^(1/2))/(64*b^2) - (3*b*e^4*(d + e*x)^(7/2))/(64*(a*e - b*d)^2))/(b^4*(d + e*x)^4 - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^3 - (d + e*x)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e) + a^4*e^4 + b^4*d^4 + (d + e*x)^2*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3)","B"
2088,1,297,182,0.147505,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{\frac{73\,e^4\,{\left(d+e\,x\right)}^{3/2}}{192\,\left(a\,e-b\,d\right)}-\frac{5\,e^4\,\sqrt{d+e\,x}}{64\,b}+\frac{5\,b^2\,e^4\,{\left(d+e\,x\right)}^{7/2}}{64\,{\left(a\,e-b\,d\right)}^3}+\frac{55\,b\,e^4\,{\left(d+e\,x\right)}^{5/2}}{192\,{\left(a\,e-b\,d\right)}^2}}{b^4\,{\left(d+e\,x\right)}^4-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^3-\left(d+e\,x\right)\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)+a^4\,e^4+b^4\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e-4\,a^3\,b\,d\,e^3}+\frac{5\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{64\,b^{3/2}\,{\left(a\,e-b\,d\right)}^{7/2}}","Not used",1,"((73*e^4*(d + e*x)^(3/2))/(192*(a*e - b*d)) - (5*e^4*(d + e*x)^(1/2))/(64*b) + (5*b^2*e^4*(d + e*x)^(7/2))/(64*(a*e - b*d)^3) + (55*b*e^4*(d + e*x)^(5/2))/(192*(a*e - b*d)^2))/(b^4*(d + e*x)^4 - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^3 - (d + e*x)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e) + a^4*e^4 + b^4*d^4 + (d + e*x)^2*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + (5*e^4*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(64*b^(3/2)*(a*e - b*d)^(7/2))","B"
2089,1,307,180,2.147468,"\text{Not used}","int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{93\,e^4\,\sqrt{d+e\,x}}{64\,\left(a\,e-b\,d\right)}+\frac{385\,b^2\,e^4\,{\left(d+e\,x\right)}^{5/2}}{192\,{\left(a\,e-b\,d\right)}^3}+\frac{35\,b^3\,e^4\,{\left(d+e\,x\right)}^{7/2}}{64\,{\left(a\,e-b\,d\right)}^4}+\frac{511\,b\,e^4\,{\left(d+e\,x\right)}^{3/2}}{192\,{\left(a\,e-b\,d\right)}^2}}{b^4\,{\left(d+e\,x\right)}^4-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^3-\left(d+e\,x\right)\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)+a^4\,e^4+b^4\,d^4+{\left(d+e\,x\right)}^2\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)+6\,a^2\,b^2\,d^2\,e^2-4\,a\,b^3\,d^3\,e-4\,a^3\,b\,d\,e^3}+\frac{35\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}}{\sqrt{a\,e-b\,d}}\right)}{64\,\sqrt{b}\,{\left(a\,e-b\,d\right)}^{9/2}}","Not used",1,"((93*e^4*(d + e*x)^(1/2))/(64*(a*e - b*d)) + (385*b^2*e^4*(d + e*x)^(5/2))/(192*(a*e - b*d)^3) + (35*b^3*e^4*(d + e*x)^(7/2))/(64*(a*e - b*d)^4) + (511*b*e^4*(d + e*x)^(3/2))/(192*(a*e - b*d)^2))/(b^4*(d + e*x)^4 - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^3 - (d + e*x)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e) + a^4*e^4 + b^4*d^4 + (d + e*x)^2*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) + 6*a^2*b^2*d^2*e^2 - 4*a*b^3*d^3*e - 4*a^3*b*d*e^3) + (35*e^4*atan((b^(1/2)*(d + e*x)^(1/2))/(a*e - b*d)^(1/2)))/(64*b^(1/2)*(a*e - b*d)^(9/2))","B"
2090,1,398,206,2.392746,"\text{Not used}","int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","-\frac{\frac{2\,e^4}{a\,e-b\,d}+\frac{1533\,b^2\,e^4\,{\left(d+e\,x\right)}^2}{64\,{\left(a\,e-b\,d\right)}^3}+\frac{1155\,b^3\,e^4\,{\left(d+e\,x\right)}^3}{64\,{\left(a\,e-b\,d\right)}^4}+\frac{315\,b^4\,e^4\,{\left(d+e\,x\right)}^4}{64\,{\left(a\,e-b\,d\right)}^5}+\frac{837\,b\,e^4\,\left(d+e\,x\right)}{64\,{\left(a\,e-b\,d\right)}^2}}{b^4\,{\left(d+e\,x\right)}^{9/2}-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^{7/2}+\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(d+e\,x\right)}^{5/2}\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)-{\left(d+e\,x\right)}^{3/2}\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)}-\frac{315\,\sqrt{b}\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\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}}\right)}{64\,{\left(a\,e-b\,d\right)}^{11/2}}","Not used",1,"- ((2*e^4)/(a*e - b*d) + (1533*b^2*e^4*(d + e*x)^2)/(64*(a*e - b*d)^3) + (1155*b^3*e^4*(d + e*x)^3)/(64*(a*e - b*d)^4) + (315*b^4*e^4*(d + e*x)^4)/(64*(a*e - b*d)^5) + (837*b*e^4*(d + e*x))/(64*(a*e - b*d)^2))/(b^4*(d + e*x)^(9/2) - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^(7/2) + (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) + (d + e*x)^(5/2)*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) - (d + e*x)^(3/2)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e)) - (315*b^(1/2)*e^4*atan((b^(1/2)*(d + e*x)^(1/2)*(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))/(a*e - b*d)^(11/2)))/(64*(a*e - b*d)^(11/2))","B"
2091,1,436,233,2.642994,"\text{Not used}","int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^3),x)","\frac{\frac{3069\,b^2\,e^4\,{\left(d+e\,x\right)}^2}{64\,{\left(a\,e-b\,d\right)}^3}-\frac{2\,e^4}{3\,\left(a\,e-b\,d\right)}+\frac{5621\,b^3\,e^4\,{\left(d+e\,x\right)}^3}{64\,{\left(a\,e-b\,d\right)}^4}+\frac{4235\,b^4\,e^4\,{\left(d+e\,x\right)}^4}{64\,{\left(a\,e-b\,d\right)}^5}+\frac{1155\,b^5\,e^4\,{\left(d+e\,x\right)}^5}{64\,{\left(a\,e-b\,d\right)}^6}+\frac{22\,b\,e^4\,\left(d+e\,x\right)}{3\,{\left(a\,e-b\,d\right)}^2}}{b^4\,{\left(d+e\,x\right)}^{11/2}-\left(4\,b^4\,d-4\,a\,b^3\,e\right)\,{\left(d+e\,x\right)}^{9/2}+{\left(d+e\,x\right)}^{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)+{\left(d+e\,x\right)}^{7/2}\,\left(6\,a^2\,b^2\,e^2-12\,a\,b^3\,d\,e+6\,b^4\,d^2\right)-{\left(d+e\,x\right)}^{5/2}\,\left(-4\,a^3\,b\,e^3+12\,a^2\,b^2\,d\,e^2-12\,a\,b^3\,d^2\,e+4\,b^4\,d^3\right)}+\frac{1155\,b^{3/2}\,e^4\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{d+e\,x}\,\left(a^6\,e^6-6\,a^5\,b\,d\,e^5+15\,a^4\,b^2\,d^2\,e^4-20\,a^3\,b^3\,d^3\,e^3+15\,a^2\,b^4\,d^4\,e^2-6\,a\,b^5\,d^5\,e+b^6\,d^6\right)}{{\left(a\,e-b\,d\right)}^{13/2}}\right)}{64\,{\left(a\,e-b\,d\right)}^{13/2}}","Not used",1,"((3069*b^2*e^4*(d + e*x)^2)/(64*(a*e - b*d)^3) - (2*e^4)/(3*(a*e - b*d)) + (5621*b^3*e^4*(d + e*x)^3)/(64*(a*e - b*d)^4) + (4235*b^4*e^4*(d + e*x)^4)/(64*(a*e - b*d)^5) + (1155*b^5*e^4*(d + e*x)^5)/(64*(a*e - b*d)^6) + (22*b*e^4*(d + e*x))/(3*(a*e - b*d)^2))/(b^4*(d + e*x)^(11/2) - (4*b^4*d - 4*a*b^3*e)*(d + e*x)^(9/2) + (d + e*x)^(3/2)*(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) + (d + e*x)^(7/2)*(6*b^4*d^2 + 6*a^2*b^2*e^2 - 12*a*b^3*d*e) - (d + e*x)^(5/2)*(4*b^4*d^3 - 4*a^3*b*e^3 + 12*a^2*b^2*d*e^2 - 12*a*b^3*d^2*e)) + (1155*b^(3/2)*e^4*atan((b^(1/2)*(d + e*x)^(1/2)*(a^6*e^6 + b^6*d^6 + 15*a^2*b^4*d^4*e^2 - 20*a^3*b^3*d^3*e^3 + 15*a^4*b^2*d^2*e^4 - 6*a*b^5*d^5*e - 6*a^5*b*d*e^5))/(a*e - b*d)^(13/2)))/(64*(a*e - b*d)^(13/2))","B"
2092,0,-1,152,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(7/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{7/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(7/2), x)","F"
2093,0,-1,152,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(5/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(5/2), x)","F"
2094,0,-1,152,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(3/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(3/2), x)","F"
2095,0,-1,152,0.000000,"\text{Not used}","int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(1/2),x)","\int \sqrt{{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)\,\sqrt{d+e\,x} \,d x","Not used",1,"int(((a + b*x)^2)^(1/2)*(a + b*x)*(d + e*x)^(1/2), x)","F"
2096,1,127,150,2.413840,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^(1/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{2\,b\,x^3}{5}+\frac{2\,x^2\,\left(10\,a\,e-b\,d\right)}{15\,e}+\frac{30\,a^2\,d\,e^2-40\,a\,b\,d^2\,e+16\,b^2\,d^3}{15\,b\,e^3}+\frac{x\,\left(30\,a^2\,e^3-20\,a\,b\,d\,e^2+8\,b^2\,d^2\,e\right)}{15\,b\,e^3}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((2*b*x^3)/5 + (2*x^2*(10*a*e - b*d))/(15*e) + (16*b^2*d^3 + 30*a^2*d*e^2 - 40*a*b*d^2*e)/(15*b*e^3) + (x*(30*a^2*e^3 + 8*b^2*d^2*e - 20*a*b*d*e^2))/(15*b*e^3)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2097,1,90,148,2.652836,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^(3/2),x)","\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{4\,x\,\left(3\,a\,e-2\,b\,d\right)}{3\,e^2}+\frac{2\,b\,x^2}{3\,e}-\frac{6\,a^2\,e^2-24\,a\,b\,d\,e+16\,b^2\,d^2}{3\,b\,e^3}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"(((a + b*x)^2)^(1/2)*((4*x*(3*a*e - 2*b*d))/(3*e^2) + (2*b*x^2)/(3*e) - (6*a^2*e^2 + 16*b^2*d^2 - 24*a*b*d*e)/(3*b*e^3)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2098,1,126,148,2.721252,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^(5/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{4\,x\,\left(a\,e-2\,b\,d\right)}{e^3}-\frac{2\,b\,x^2}{e^2}+\frac{2\,a^2\,e^2+8\,a\,b\,d\,e-16\,b^2\,d^2}{3\,b\,e^4}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(3\,a\,e^4+3\,b\,d\,e^3\right)\,\sqrt{d+e\,x}}{3\,b\,e^4}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((4*x*(a*e - 2*b*d))/e^3 - (2*b*x^2)/e^2 + (2*a^2*e^2 - 16*b^2*d^2 + 8*a*b*d*e)/(3*b*e^4)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(3*a*e^4 + 3*b*d*e^3)*(d + e*x)^(1/2))/(3*b*e^4))","B"
2099,1,151,150,2.629726,"\text{Not used}","int((((a + b*x)^2)^(1/2)*(a + b*x))/(d + e*x)^(7/2),x)","-\frac{\sqrt{{\left(a+b\,x\right)}^2}\,\left(\frac{4\,x\,\left(a\,e+2\,b\,d\right)}{3\,e^4}+\frac{2\,b\,x^2}{e^3}+\frac{\frac{2\,a^2\,e^2}{5}+\frac{8\,a\,b\,d\,e}{15}+\frac{16\,b^2\,d^2}{15}}{b\,e^5}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(a\,e^5+2\,b\,d\,e^4\right)\,\sqrt{d+e\,x}}{b\,e^5}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"-(((a + b*x)^2)^(1/2)*((4*x*(a*e + 2*b*d))/(3*e^4) + (2*b*x^2)/e^3 + ((2*a^2*e^2)/5 + (16*b^2*d^2)/15 + (8*a*b*d*e)/15)/(b*e^5)))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(a*e^5 + 2*b*d*e^4)*(d + e*x)^(1/2))/(b*e^5) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
2100,0,-1,264,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2101,0,-1,264,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2102,0,-1,264,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2103,1,285,262,2.500213,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^3\,x^5}{9}+\frac{630\,a^4\,d\,e^4-1680\,a^3\,b\,d^2\,e^3+2016\,a^2\,b^2\,d^3\,e^2-1152\,a\,b^3\,d^4\,e+256\,b^4\,d^5}{315\,b\,e^5}+\frac{x\,\left(630\,a^4\,e^5-840\,a^3\,b\,d\,e^4+1008\,a^2\,b^2\,d^2\,e^3-576\,a\,b^3\,d^3\,e^2+128\,b^4\,d^4\,e\right)}{315\,b\,e^5}+\frac{x^2\,\left(840\,a^3\,b\,e^5-252\,a^2\,b^2\,d\,e^4+144\,a\,b^3\,d^2\,e^3-32\,b^4\,d^3\,e^2\right)}{315\,b\,e^5}+\frac{2\,b^2\,x^4\,\left(36\,a\,e-b\,d\right)}{63\,e}+\frac{4\,b\,x^3\,\left(189\,a^2\,e^2-18\,a\,b\,d\,e+4\,b^2\,d^2\right)}{315\,e^2}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^3*x^5)/9 + (256*b^4*d^5 + 630*a^4*d*e^4 - 1680*a^3*b*d^2*e^3 + 2016*a^2*b^2*d^3*e^2 - 1152*a*b^3*d^4*e)/(315*b*e^5) + (x*(630*a^4*e^5 + 128*b^4*d^4*e - 576*a*b^3*d^3*e^2 + 1008*a^2*b^2*d^2*e^3 - 840*a^3*b*d*e^4))/(315*b*e^5) + (x^2*(840*a^3*b*e^5 - 32*b^4*d^3*e^2 + 144*a*b^3*d^2*e^3 - 252*a^2*b^2*d*e^4))/(315*b*e^5) + (2*b^2*x^4*(36*a*e - b*d))/(63*e) + (4*b*x^3*(189*a^2*e^2 + 4*b^2*d^2 - 18*a*b*d*e))/(315*e^2)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2104,1,218,258,2.810445,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^3\,x^4}{7\,e}-\frac{70\,a^4\,e^4-560\,a^3\,b\,d\,e^3+1120\,a^2\,b^2\,d^2\,e^2-896\,a\,b^3\,d^3\,e+256\,b^4\,d^4}{35\,b\,e^5}+\frac{x\,\left(280\,a^3\,b\,e^4-560\,a^2\,b^2\,d\,e^3+448\,a\,b^3\,d^2\,e^2-128\,b^4\,d^3\,e\right)}{35\,b\,e^5}+\frac{8\,b^2\,x^3\,\left(7\,a\,e-2\,b\,d\right)}{35\,e^2}+\frac{4\,b\,x^2\,\left(35\,a^2\,e^2-28\,a\,b\,d\,e+8\,b^2\,d^2\right)}{35\,e^3}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^3*x^4)/(7*e) - (70*a^4*e^4 + 256*b^4*d^4 + 1120*a^2*b^2*d^2*e^2 - 896*a*b^3*d^3*e - 560*a^3*b*d*e^3)/(35*b*e^5) + (x*(280*a^3*b*e^4 - 128*b^4*d^3*e + 448*a*b^3*d^2*e^2 - 560*a^2*b^2*d*e^3))/(35*b*e^5) + (8*b^2*x^3*(7*a*e - 2*b*d))/(35*e^2) + (4*b*x^2*(35*a^2*e^2 + 8*b^2*d^2 - 28*a*b*d*e))/(35*e^3)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2105,1,254,260,2.891624,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(5/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^3\,x^4}{5\,e^2}-\frac{10\,a^4\,e^4+80\,a^3\,b\,d\,e^3-480\,a^2\,b^2\,d^2\,e^2+640\,a\,b^3\,d^3\,e-256\,b^4\,d^4}{15\,b\,e^6}-\frac{x\,\left(120\,a^3\,b\,e^4-720\,a^2\,b^2\,d\,e^3+960\,a\,b^3\,d^2\,e^2-384\,b^4\,d^3\,e\right)}{15\,b\,e^6}+\frac{8\,b^2\,x^3\,\left(5\,a\,e-2\,b\,d\right)}{15\,e^3}+\frac{4\,b\,x^2\,\left(15\,a^2\,e^2-20\,a\,b\,d\,e+8\,b^2\,d^2\right)}{5\,e^4}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(15\,a\,e^6+15\,b\,d\,e^5\right)\,\sqrt{d+e\,x}}{15\,b\,e^6}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^3*x^4)/(5*e^2) - (10*a^4*e^4 - 256*b^4*d^4 - 480*a^2*b^2*d^2*e^2 + 640*a*b^3*d^3*e + 80*a^3*b*d*e^3)/(15*b*e^6) - (x*(120*a^3*b*e^4 - 384*b^4*d^3*e + 960*a*b^3*d^2*e^2 - 720*a^2*b^2*d*e^3))/(15*b*e^6) + (8*b^2*x^3*(5*a*e - 2*b*d))/(15*e^3) + (4*b*x^2*(15*a^2*e^2 + 8*b^2*d^2 - 20*a*b*d*e))/(5*e^4)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(15*a*e^6 + 15*b*d*e^5)*(d + e*x)^(1/2))/(15*b*e^6))","B"
2106,1,283,260,2.978265,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(7/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{6\,a^4\,e^4+16\,a^3\,b\,d\,e^3+96\,a^2\,b^2\,d^2\,e^2-384\,a\,b^3\,d^3\,e+256\,b^4\,d^4}{15\,b\,e^7}-\frac{2\,b^3\,x^4}{3\,e^3}+\frac{x\,\left(40\,a^3\,b\,e^4+240\,a^2\,b^2\,d\,e^3-960\,a\,b^3\,d^2\,e^2+640\,b^4\,d^3\,e\right)}{15\,b\,e^7}-\frac{8\,b^2\,x^3\,\left(3\,a\,e-2\,b\,d\right)}{3\,e^4}+\frac{4\,b\,x^2\,\left(3\,a^2\,e^2-12\,a\,b\,d\,e+8\,b^2\,d^2\right)}{e^5}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(15\,a\,e^7+30\,b\,d\,e^6\right)\,\sqrt{d+e\,x}}{15\,b\,e^7}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((6*a^4*e^4 + 256*b^4*d^4 + 96*a^2*b^2*d^2*e^2 - 384*a*b^3*d^3*e + 16*a^3*b*d*e^3)/(15*b*e^7) - (2*b^3*x^4)/(3*e^3) + (x*(40*a^3*b*e^4 + 640*b^4*d^3*e - 960*a*b^3*d^2*e^2 + 240*a^2*b^2*d*e^3))/(15*b*e^7) - (8*b^2*x^3*(3*a*e - 2*b*d))/(3*e^4) + (4*b*x^2*(3*a^2*e^2 + 8*b^2*d^2 - 12*a*b*d*e))/e^5))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(15*a*e^7 + 30*b*d*e^6)*(d + e*x)^(1/2))/(15*b*e^7) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
2107,1,309,258,3.003457,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(9/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{10\,a^4\,e^4+16\,a^3\,b\,d\,e^3+32\,a^2\,b^2\,d^2\,e^2+128\,a\,b^3\,d^3\,e-256\,b^4\,d^4}{35\,b\,e^8}-\frac{2\,b^3\,x^4}{e^4}+\frac{x\,\left(56\,a^3\,b\,e^4+112\,a^2\,b^2\,d\,e^3+448\,a\,b^3\,d^2\,e^2-896\,b^4\,d^3\,e\right)}{35\,b\,e^8}+\frac{8\,b^2\,x^3\,\left(a\,e-2\,b\,d\right)}{e^5}+\frac{4\,b\,x^2\,\left(a^2\,e^2+4\,a\,b\,d\,e-8\,b^2\,d^2\right)}{e^6}\right)}{x^4\,\sqrt{d+e\,x}+\frac{a\,d^3\,\sqrt{d+e\,x}}{b\,e^3}+\frac{x^3\,\left(35\,a\,e^8+105\,b\,d\,e^7\right)\,\sqrt{d+e\,x}}{35\,b\,e^8}+\frac{3\,d\,x^2\,\left(a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^2\,x\,\left(3\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((10*a^4*e^4 - 256*b^4*d^4 + 32*a^2*b^2*d^2*e^2 + 128*a*b^3*d^3*e + 16*a^3*b*d*e^3)/(35*b*e^8) - (2*b^3*x^4)/e^4 + (x*(56*a^3*b*e^4 - 896*b^4*d^3*e + 448*a*b^3*d^2*e^2 + 112*a^2*b^2*d*e^3))/(35*b*e^8) + (8*b^2*x^3*(a*e - 2*b*d))/e^5 + (4*b*x^2*(a^2*e^2 - 8*b^2*d^2 + 4*a*b*d*e))/e^6))/(x^4*(d + e*x)^(1/2) + (a*d^3*(d + e*x)^(1/2))/(b*e^3) + (x^3*(35*a*e^8 + 105*b*d*e^7)*(d + e*x)^(1/2))/(35*b*e^8) + (3*d*x^2*(a*e + b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^2*x*(3*a*e + b*d)*(d + e*x)^(1/2))/(b*e^3))","B"
2108,1,333,262,2.929766,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(11/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{8\,x\,\left(5\,a^3\,e^3+6\,a^2\,b\,d\,e^2+8\,a\,b^2\,d^2\,e+16\,b^3\,d^3\right)}{35\,e^8}+\frac{2\,b^3\,x^4}{e^5}+\frac{70\,a^4\,e^4+80\,a^3\,b\,d\,e^3+96\,a^2\,b^2\,d^2\,e^2+128\,a\,b^3\,d^3\,e+256\,b^4\,d^4}{315\,b\,e^9}+\frac{8\,b^2\,x^3\,\left(a\,e+2\,b\,d\right)}{3\,e^6}+\frac{4\,b\,x^2\,\left(3\,a^2\,e^2+4\,a\,b\,d\,e+8\,b^2\,d^2\right)}{5\,e^7}\right)}{x^5\,\sqrt{d+e\,x}+\frac{a\,d^4\,\sqrt{d+e\,x}}{b\,e^4}+\frac{x^4\,\left(315\,a\,e^9+1260\,b\,d\,e^8\right)\,\sqrt{d+e\,x}}{315\,b\,e^9}+\frac{2\,d\,x^3\,\left(2\,a\,e+3\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^3\,x\,\left(4\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}+\frac{2\,d^2\,x^2\,\left(3\,a\,e+2\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((8*x*(5*a^3*e^3 + 16*b^3*d^3 + 8*a*b^2*d^2*e + 6*a^2*b*d*e^2))/(35*e^8) + (2*b^3*x^4)/e^5 + (70*a^4*e^4 + 256*b^4*d^4 + 96*a^2*b^2*d^2*e^2 + 128*a*b^3*d^3*e + 80*a^3*b*d*e^3)/(315*b*e^9) + (8*b^2*x^3*(a*e + 2*b*d))/(3*e^6) + (4*b*x^2*(3*a^2*e^2 + 8*b^2*d^2 + 4*a*b*d*e))/(5*e^7)))/(x^5*(d + e*x)^(1/2) + (a*d^4*(d + e*x)^(1/2))/(b*e^4) + (x^4*(315*a*e^9 + 1260*b*d*e^8)*(d + e*x)^(1/2))/(315*b*e^9) + (2*d*x^3*(2*a*e + 3*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^3*x*(4*a*e + b*d)*(d + e*x)^(1/2))/(b*e^4) + (2*d^2*x^2*(3*a*e + 2*b*d)*(d + e*x)^(1/2))/(b*e^3))","B"
2109,1,353,264,2.951016,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2))/(d + e*x)^(13/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{8\,x\,\left(35\,a^3\,e^3+30\,a^2\,b\,d\,e^2+24\,a\,b^2\,d^2\,e+16\,b^3\,d^3\right)}{315\,e^9}+\frac{2\,b^3\,x^4}{3\,e^6}+\frac{630\,a^4\,e^4+560\,a^3\,b\,d\,e^3+480\,a^2\,b^2\,d^2\,e^2+384\,a\,b^3\,d^3\,e+256\,b^4\,d^4}{3465\,b\,e^{10}}+\frac{8\,b^2\,x^3\,\left(3\,a\,e+2\,b\,d\right)}{15\,e^7}+\frac{4\,b\,x^2\,\left(15\,a^2\,e^2+12\,a\,b\,d\,e+8\,b^2\,d^2\right)}{35\,e^8}\right)}{x^6\,\sqrt{d+e\,x}+\frac{a\,d^5\,\sqrt{d+e\,x}}{b\,e^5}+\frac{x^5\,\left(a\,e+5\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e}+\frac{5\,d\,x^4\,\left(a\,e+2\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^4\,x\,\left(5\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^5}+\frac{10\,d^2\,x^3\,\left(a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}+\frac{5\,d^3\,x^2\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((8*x*(35*a^3*e^3 + 16*b^3*d^3 + 24*a*b^2*d^2*e + 30*a^2*b*d*e^2))/(315*e^9) + (2*b^3*x^4)/(3*e^6) + (630*a^4*e^4 + 256*b^4*d^4 + 480*a^2*b^2*d^2*e^2 + 384*a*b^3*d^3*e + 560*a^3*b*d*e^3)/(3465*b*e^10) + (8*b^2*x^3*(3*a*e + 2*b*d))/(15*e^7) + (4*b*x^2*(15*a^2*e^2 + 8*b^2*d^2 + 12*a*b*d*e))/(35*e^8)))/(x^6*(d + e*x)^(1/2) + (a*d^5*(d + e*x)^(1/2))/(b*e^5) + (x^5*(a*e + 5*b*d)*(d + e*x)^(1/2))/(b*e) + (5*d*x^4*(a*e + 2*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^4*x*(5*a*e + b*d)*(d + e*x)^(1/2))/(b*e^5) + (10*d^2*x^3*(a*e + b*d)*(d + e*x)^(1/2))/(b*e^3) + (5*d^3*x^2*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^4))","B"
2110,0,-1,374,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2111,0,-1,376,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2112,0,-1,376,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2113,1,491,370,2.775814,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(1/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^5\,x^7}{13}+\frac{6006\,a^6\,d\,e^6-24024\,a^5\,b\,d^2\,e^5+48048\,a^4\,b^2\,d^3\,e^4-54912\,a^3\,b^3\,d^4\,e^3+36608\,a^2\,b^4\,d^5\,e^2-13312\,a\,b^5\,d^6\,e+2048\,b^6\,d^7}{3003\,b\,e^7}+\frac{10\,b^2\,x^4\,\left(1716\,a^3\,e^3-143\,a^2\,b\,d\,e^2+52\,a\,b^2\,d^2\,e-8\,b^3\,d^3\right)}{3003\,e^3}+\frac{2\,b^4\,x^6\,\left(78\,a\,e-b\,d\right)}{143\,e}+\frac{2\,b^3\,x^5\,\left(715\,a^2\,e^2-26\,a\,b\,d\,e+4\,b^2\,d^2\right)}{429\,e^2}+\frac{x\,\left(6006\,a^6\,e^7-12012\,a^5\,b\,d\,e^6+24024\,a^4\,b^2\,d^2\,e^5-27456\,a^3\,b^3\,d^3\,e^4+18304\,a^2\,b^4\,d^4\,e^3-6656\,a\,b^5\,d^5\,e^2+1024\,b^6\,d^6\,e\right)}{3003\,b\,e^7}+\frac{x^3\,\left(18018\,a^4\,b^2\,e^7-3432\,a^3\,b^3\,d\,e^6+2288\,a^2\,b^4\,d^2\,e^5-832\,a\,b^5\,d^3\,e^4+128\,b^6\,d^4\,e^3\right)}{3003\,b\,e^7}+\frac{x^2\,\left(12012\,a^5\,b\,e^7-6006\,a^4\,b^2\,d\,e^6+6864\,a^3\,b^3\,d^2\,e^5-4576\,a^2\,b^4\,d^3\,e^4+1664\,a\,b^5\,d^4\,e^3-256\,b^6\,d^5\,e^2\right)}{3003\,b\,e^7}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^5*x^7)/13 + (2048*b^6*d^7 + 6006*a^6*d*e^6 - 24024*a^5*b*d^2*e^5 + 36608*a^2*b^4*d^5*e^2 - 54912*a^3*b^3*d^4*e^3 + 48048*a^4*b^2*d^3*e^4 - 13312*a*b^5*d^6*e)/(3003*b*e^7) + (10*b^2*x^4*(1716*a^3*e^3 - 8*b^3*d^3 + 52*a*b^2*d^2*e - 143*a^2*b*d*e^2))/(3003*e^3) + (2*b^4*x^6*(78*a*e - b*d))/(143*e) + (2*b^3*x^5*(715*a^2*e^2 + 4*b^2*d^2 - 26*a*b*d*e))/(429*e^2) + (x*(6006*a^6*e^7 + 1024*b^6*d^6*e - 6656*a*b^5*d^5*e^2 + 18304*a^2*b^4*d^4*e^3 - 27456*a^3*b^3*d^3*e^4 + 24024*a^4*b^2*d^2*e^5 - 12012*a^5*b*d*e^6))/(3003*b*e^7) + (x^3*(18018*a^4*b^2*e^7 + 128*b^6*d^4*e^3 - 832*a*b^5*d^3*e^4 - 3432*a^3*b^3*d*e^6 + 2288*a^2*b^4*d^2*e^5))/(3003*b*e^7) + (x^2*(12012*a^5*b*e^7 - 256*b^6*d^5*e^2 + 1664*a*b^5*d^4*e^3 - 6006*a^4*b^2*d*e^6 - 4576*a^2*b^4*d^3*e^4 + 6864*a^3*b^3*d^2*e^5))/(3003*b*e^7)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2114,1,396,368,3.092661,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(3/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^5\,x^6}{11\,e}-\frac{462\,a^6\,e^6-5544\,a^5\,b\,d\,e^5+18480\,a^4\,b^2\,d^2\,e^4-29568\,a^3\,b^3\,d^3\,e^3+25344\,a^2\,b^4\,d^4\,e^2-11264\,a\,b^5\,d^5\,e+2048\,b^6\,d^6}{231\,b\,e^7}+\frac{x\,\left(2772\,a^5\,b\,e^6-9240\,a^4\,b^2\,d\,e^5+14784\,a^3\,b^3\,d^2\,e^4-12672\,a^2\,b^4\,d^3\,e^3+5632\,a\,b^5\,d^4\,e^2-1024\,b^6\,d^5\,e\right)}{231\,b\,e^7}+\frac{8\,b^2\,x^3\,\left(231\,a^3\,e^3-198\,a^2\,b\,d\,e^2+88\,a\,b^2\,d^2\,e-16\,b^3\,d^3\right)}{231\,e^4}+\frac{4\,b^4\,x^5\,\left(11\,a\,e-2\,b\,d\right)}{33\,e^2}+\frac{10\,b^3\,x^4\,\left(99\,a^2\,e^2-44\,a\,b\,d\,e+8\,b^2\,d^2\right)}{231\,e^3}+\frac{x^2\,\left(2310\,a^4\,b^2\,e^6-3696\,a^3\,b^3\,d\,e^5+3168\,a^2\,b^4\,d^2\,e^4-1408\,a\,b^5\,d^3\,e^3+256\,b^6\,d^4\,e^2\right)}{231\,b\,e^7}\right)}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^5*x^6)/(11*e) - (462*a^6*e^6 + 2048*b^6*d^6 + 25344*a^2*b^4*d^4*e^2 - 29568*a^3*b^3*d^3*e^3 + 18480*a^4*b^2*d^2*e^4 - 11264*a*b^5*d^5*e - 5544*a^5*b*d*e^5)/(231*b*e^7) + (x*(2772*a^5*b*e^6 - 1024*b^6*d^5*e + 5632*a*b^5*d^4*e^2 - 9240*a^4*b^2*d*e^5 - 12672*a^2*b^4*d^3*e^3 + 14784*a^3*b^3*d^2*e^4))/(231*b*e^7) + (8*b^2*x^3*(231*a^3*e^3 - 16*b^3*d^3 + 88*a*b^2*d^2*e - 198*a^2*b*d*e^2))/(231*e^4) + (4*b^4*x^5*(11*a*e - 2*b*d))/(33*e^2) + (10*b^3*x^4*(99*a^2*e^2 + 8*b^2*d^2 - 44*a*b*d*e))/(231*e^3) + (x^2*(2310*a^4*b^2*e^6 + 256*b^6*d^4*e^2 - 1408*a*b^5*d^3*e^3 - 3696*a^3*b^3*d*e^5 + 3168*a^2*b^4*d^2*e^4))/(231*b*e^7)))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2115,1,432,370,3.154017,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(5/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^5\,x^6}{9\,e^2}-\frac{42\,a^6\,e^6+504\,a^5\,b\,d\,e^5-5040\,a^4\,b^2\,d^2\,e^4+13440\,a^3\,b^3\,d^3\,e^3-16128\,a^2\,b^4\,d^4\,e^2+9216\,a\,b^5\,d^5\,e-2048\,b^6\,d^6}{63\,b\,e^8}-\frac{x\,\left(756\,a^5\,b\,e^6-7560\,a^4\,b^2\,d\,e^5+20160\,a^3\,b^3\,d^2\,e^4-24192\,a^2\,b^4\,d^3\,e^3+13824\,a\,b^5\,d^4\,e^2-3072\,b^6\,d^5\,e\right)}{63\,b\,e^8}+\frac{8\,b^2\,x^3\,\left(105\,a^3\,e^3-126\,a^2\,b\,d\,e^2+72\,a\,b^2\,d^2\,e-16\,b^3\,d^3\right)}{63\,e^5}+\frac{4\,b^4\,x^5\,\left(9\,a\,e-2\,b\,d\right)}{21\,e^3}+\frac{2\,b^3\,x^4\,\left(63\,a^2\,e^2-36\,a\,b\,d\,e+8\,b^2\,d^2\right)}{21\,e^4}+\frac{x^2\,\left(1890\,a^4\,b^2\,e^6-5040\,a^3\,b^3\,d\,e^5+6048\,a^2\,b^4\,d^2\,e^4-3456\,a\,b^5\,d^3\,e^3+768\,b^6\,d^4\,e^2\right)}{63\,b\,e^8}\right)}{x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(63\,a\,e^8+63\,b\,d\,e^7\right)\,\sqrt{d+e\,x}}{63\,b\,e^8}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^5*x^6)/(9*e^2) - (42*a^6*e^6 - 2048*b^6*d^6 - 16128*a^2*b^4*d^4*e^2 + 13440*a^3*b^3*d^3*e^3 - 5040*a^4*b^2*d^2*e^4 + 9216*a*b^5*d^5*e + 504*a^5*b*d*e^5)/(63*b*e^8) - (x*(756*a^5*b*e^6 - 3072*b^6*d^5*e + 13824*a*b^5*d^4*e^2 - 7560*a^4*b^2*d*e^5 - 24192*a^2*b^4*d^3*e^3 + 20160*a^3*b^3*d^2*e^4))/(63*b*e^8) + (8*b^2*x^3*(105*a^3*e^3 - 16*b^3*d^3 + 72*a*b^2*d^2*e - 126*a^2*b*d*e^2))/(63*e^5) + (4*b^4*x^5*(9*a*e - 2*b*d))/(21*e^3) + (2*b^3*x^4*(63*a^2*e^2 + 8*b^2*d^2 - 36*a*b*d*e))/(21*e^4) + (x^2*(1890*a^4*b^2*e^6 + 768*b^6*d^4*e^2 - 3456*a*b^5*d^3*e^3 - 5040*a^3*b^3*d*e^5 + 6048*a^2*b^4*d^2*e^4))/(63*b*e^8)))/(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(63*a*e^8 + 63*b*d*e^7)*(d + e*x)^(1/2))/(63*b*e^8))","B"
2116,1,455,368,3.182084,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(7/2),x)","\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{2\,b^5\,x^6}{7\,e^3}-\frac{\frac{2\,a^6\,e^6}{5}+\frac{8\,a^5\,b\,d\,e^5}{5}+16\,a^4\,b^2\,d^2\,e^4-128\,a^3\,b^3\,d^3\,e^3+256\,a^2\,b^4\,d^4\,e^2-\frac{1024\,a\,b^5\,d^5\,e}{5}+\frac{2048\,b^6\,d^6}{35}}{b\,e^9}-\frac{x\,\left(140\,a^5\,b\,e^6+1400\,a^4\,b^2\,d\,e^5-11200\,a^3\,b^3\,d^2\,e^4+22400\,a^2\,b^4\,d^3\,e^3-17920\,a\,b^5\,d^4\,e^2+5120\,b^6\,d^5\,e\right)}{35\,b\,e^9}+\frac{b^2\,x^3\,\left(40\,a^3\,e^3-80\,a^2\,b\,d\,e^2+64\,a\,b^2\,d^2\,e-\frac{128\,b^3\,d^3}{7}\right)}{e^6}+\frac{b^4\,x^5\,\left(\frac{12\,a\,e}{5}-\frac{24\,b\,d}{35}\right)}{e^4}+\frac{b^3\,x^4\,\left(10\,a^2\,e^2-8\,a\,b\,d\,e+\frac{16\,b^2\,d^2}{7}\right)}{e^5}-\frac{x^2\,\left(30\,a^4\,b^2\,e^6-240\,a^3\,b^3\,d\,e^5+480\,a^2\,b^4\,d^2\,e^4-384\,a\,b^5\,d^3\,e^3+\frac{768\,b^6\,d^4\,e^2}{7}\right)}{b\,e^9}\right)}{x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(a\,e^9+2\,b\,d\,e^8\right)\,\sqrt{d+e\,x}}{b\,e^9}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}}","Not used",1,"((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((2*b^5*x^6)/(7*e^3) - ((2*a^6*e^6)/5 + (2048*b^6*d^6)/35 + 256*a^2*b^4*d^4*e^2 - 128*a^3*b^3*d^3*e^3 + 16*a^4*b^2*d^2*e^4 - (1024*a*b^5*d^5*e)/5 + (8*a^5*b*d*e^5)/5)/(b*e^9) - (x*(140*a^5*b*e^6 + 5120*b^6*d^5*e - 17920*a*b^5*d^4*e^2 + 1400*a^4*b^2*d*e^5 + 22400*a^2*b^4*d^3*e^3 - 11200*a^3*b^3*d^2*e^4))/(35*b*e^9) + (b^2*x^3*(40*a^3*e^3 - (128*b^3*d^3)/7 + 64*a*b^2*d^2*e - 80*a^2*b*d*e^2))/e^6 + (b^4*x^5*((12*a*e)/5 - (24*b*d)/35))/e^4 + (b^3*x^4*(10*a^2*e^2 + (16*b^2*d^2)/7 - 8*a*b*d*e))/e^5 - (x^2*(30*a^4*b^2*e^6 + (768*b^6*d^4*e^2)/7 - 384*a*b^5*d^3*e^3 - 240*a^3*b^3*d*e^5 + 480*a^2*b^4*d^2*e^4))/(b*e^9)))/(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(a*e^9 + 2*b*d*e^8)*(d + e*x)^(1/2))/(b*e^9) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2))","B"
2117,1,489,368,3.232315,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(9/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{10\,a^6\,e^6+24\,a^5\,b\,d\,e^5+80\,a^4\,b^2\,d^2\,e^4+640\,a^3\,b^3\,d^3\,e^3-3840\,a^2\,b^4\,d^4\,e^2+5120\,a\,b^5\,d^5\,e-2048\,b^6\,d^6}{35\,b\,e^{10}}-\frac{2\,b^5\,x^6}{5\,e^4}+\frac{x\,\left(84\,a^5\,b\,e^6+280\,a^4\,b^2\,d\,e^5+2240\,a^3\,b^3\,d^2\,e^4-13440\,a^2\,b^4\,d^3\,e^3+17920\,a\,b^5\,d^4\,e^2-7168\,b^6\,d^5\,e\right)}{35\,b\,e^{10}}+\frac{8\,b^2\,x^3\,\left(5\,a^3\,e^3-30\,a^2\,b\,d\,e^2+40\,a\,b^2\,d^2\,e-16\,b^3\,d^3\right)}{e^7}-\frac{4\,b^4\,x^5\,\left(5\,a\,e-2\,b\,d\right)}{5\,e^5}-\frac{2\,b^3\,x^4\,\left(15\,a^2\,e^2-20\,a\,b\,d\,e+8\,b^2\,d^2\right)}{e^6}+\frac{x^2\,\left(350\,a^4\,b^2\,e^6+2800\,a^3\,b^3\,d\,e^5-16800\,a^2\,b^4\,d^2\,e^4+22400\,a\,b^5\,d^3\,e^3-8960\,b^6\,d^4\,e^2\right)}{35\,b\,e^{10}}\right)}{x^4\,\sqrt{d+e\,x}+\frac{a\,d^3\,\sqrt{d+e\,x}}{b\,e^3}+\frac{x^3\,\left(35\,a\,e^{10}+105\,b\,d\,e^9\right)\,\sqrt{d+e\,x}}{35\,b\,e^{10}}+\frac{3\,d\,x^2\,\left(a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^2\,x\,\left(3\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((10*a^6*e^6 - 2048*b^6*d^6 - 3840*a^2*b^4*d^4*e^2 + 640*a^3*b^3*d^3*e^3 + 80*a^4*b^2*d^2*e^4 + 5120*a*b^5*d^5*e + 24*a^5*b*d*e^5)/(35*b*e^10) - (2*b^5*x^6)/(5*e^4) + (x*(84*a^5*b*e^6 - 7168*b^6*d^5*e + 17920*a*b^5*d^4*e^2 + 280*a^4*b^2*d*e^5 - 13440*a^2*b^4*d^3*e^3 + 2240*a^3*b^3*d^2*e^4))/(35*b*e^10) + (8*b^2*x^3*(5*a^3*e^3 - 16*b^3*d^3 + 40*a*b^2*d^2*e - 30*a^2*b*d*e^2))/e^7 - (4*b^4*x^5*(5*a*e - 2*b*d))/(5*e^5) - (2*b^3*x^4*(15*a^2*e^2 + 8*b^2*d^2 - 20*a*b*d*e))/e^6 + (x^2*(350*a^4*b^2*e^6 - 8960*b^6*d^4*e^2 + 22400*a*b^5*d^3*e^3 + 2800*a^3*b^3*d*e^5 - 16800*a^2*b^4*d^2*e^4))/(35*b*e^10)))/(x^4*(d + e*x)^(1/2) + (a*d^3*(d + e*x)^(1/2))/(b*e^3) + (x^3*(35*a*e^10 + 105*b*d*e^9)*(d + e*x)^(1/2))/(35*b*e^10) + (3*d*x^2*(a*e + b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^2*x*(3*a*e + b*d)*(d + e*x)^(1/2))/(b*e^3))","B"
2118,1,508,370,3.278129,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(11/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{14\,a^6\,e^6+24\,a^5\,b\,d\,e^5+48\,a^4\,b^2\,d^2\,e^4+128\,a^3\,b^3\,d^3\,e^3+768\,a^2\,b^4\,d^4\,e^2-3072\,a\,b^5\,d^5\,e+2048\,b^6\,d^6}{63\,b\,e^{11}}-\frac{2\,b^5\,x^6}{3\,e^5}+\frac{x\,\left(108\,a^5\,b\,e^6+216\,a^4\,b^2\,d\,e^5+576\,a^3\,b^3\,d^2\,e^4+3456\,a^2\,b^4\,d^3\,e^3-13824\,a\,b^5\,d^4\,e^2+9216\,b^6\,d^5\,e\right)}{63\,b\,e^{11}}+\frac{40\,b^2\,x^3\,\left(a^3\,e^3+6\,a^2\,b\,d\,e^2-24\,a\,b^2\,d^2\,e+16\,b^3\,d^3\right)}{3\,e^8}+\frac{2\,b\,x^2\,\left(3\,a^4\,e^4+8\,a^3\,b\,d\,e^3+48\,a^2\,b^2\,d^2\,e^2-192\,a\,b^3\,d^3\,e+128\,b^4\,d^4\right)}{e^9}-\frac{4\,b^4\,x^5\,\left(3\,a\,e-2\,b\,d\right)}{e^6}+\frac{10\,b^3\,x^4\,\left(3\,a^2\,e^2-12\,a\,b\,d\,e+8\,b^2\,d^2\right)}{e^7}\right)}{x^5\,\sqrt{d+e\,x}+\frac{a\,d^4\,\sqrt{d+e\,x}}{b\,e^4}+\frac{x^4\,\left(63\,a\,e^{11}+252\,b\,d\,e^{10}\right)\,\sqrt{d+e\,x}}{63\,b\,e^{11}}+\frac{2\,d\,x^3\,\left(2\,a\,e+3\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^3\,x\,\left(4\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}+\frac{2\,d^2\,x^2\,\left(3\,a\,e+2\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((14*a^6*e^6 + 2048*b^6*d^6 + 768*a^2*b^4*d^4*e^2 + 128*a^3*b^3*d^3*e^3 + 48*a^4*b^2*d^2*e^4 - 3072*a*b^5*d^5*e + 24*a^5*b*d*e^5)/(63*b*e^11) - (2*b^5*x^6)/(3*e^5) + (x*(108*a^5*b*e^6 + 9216*b^6*d^5*e - 13824*a*b^5*d^4*e^2 + 216*a^4*b^2*d*e^5 + 3456*a^2*b^4*d^3*e^3 + 576*a^3*b^3*d^2*e^4))/(63*b*e^11) + (40*b^2*x^3*(a^3*e^3 + 16*b^3*d^3 - 24*a*b^2*d^2*e + 6*a^2*b*d*e^2))/(3*e^8) + (2*b*x^2*(3*a^4*e^4 + 128*b^4*d^4 + 48*a^2*b^2*d^2*e^2 - 192*a*b^3*d^3*e + 8*a^3*b*d*e^3))/e^9 - (4*b^4*x^5*(3*a*e - 2*b*d))/e^6 + (10*b^3*x^4*(3*a^2*e^2 + 8*b^2*d^2 - 12*a*b*d*e))/e^7))/(x^5*(d + e*x)^(1/2) + (a*d^4*(d + e*x)^(1/2))/(b*e^4) + (x^4*(63*a*e^11 + 252*b*d*e^10)*(d + e*x)^(1/2))/(63*b*e^11) + (2*d*x^3*(2*a*e + 3*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^3*x*(4*a*e + b*d)*(d + e*x)^(1/2))/(b*e^4) + (2*d^2*x^2*(3*a*e + 2*b*d)*(d + e*x)^(1/2))/(b*e^3))","B"
2119,1,532,368,3.366712,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(13/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{42\,a^6\,e^6+56\,a^5\,b\,d\,e^5+80\,a^4\,b^2\,d^2\,e^4+128\,a^3\,b^3\,d^3\,e^3+256\,a^2\,b^4\,d^4\,e^2+1024\,a\,b^5\,d^5\,e-2048\,b^6\,d^6}{231\,b\,e^{12}}-\frac{2\,b^5\,x^6}{e^6}+\frac{x\,\left(308\,a^5\,b\,e^6+440\,a^4\,b^2\,d\,e^5+704\,a^3\,b^3\,d^2\,e^4+1408\,a^2\,b^4\,d^3\,e^3+5632\,a\,b^5\,d^4\,e^2-11264\,b^6\,d^5\,e\right)}{231\,b\,e^{12}}+\frac{8\,b^2\,x^3\,\left(a^3\,e^3+2\,a^2\,b\,d\,e^2+8\,a\,b^2\,d^2\,e-16\,b^3\,d^3\right)}{e^9}+\frac{6\,b\,x^2\,\left(5\,a^4\,e^4+8\,a^3\,b\,d\,e^3+16\,a^2\,b^2\,d^2\,e^2+64\,a\,b^3\,d^3\,e-128\,b^4\,d^4\right)}{7\,e^{10}}+\frac{12\,b^4\,x^5\,\left(a\,e-2\,b\,d\right)}{e^7}+\frac{10\,b^3\,x^4\,\left(a^2\,e^2+4\,a\,b\,d\,e-8\,b^2\,d^2\right)}{e^8}\right)}{x^6\,\sqrt{d+e\,x}+\frac{a\,d^5\,\sqrt{d+e\,x}}{b\,e^5}+\frac{x^5\,\left(231\,a\,e^{12}+1155\,b\,d\,e^{11}\right)\,\sqrt{d+e\,x}}{231\,b\,e^{12}}+\frac{5\,d\,x^4\,\left(a\,e+2\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^4\,x\,\left(5\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^5}+\frac{10\,d^2\,x^3\,\left(a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}+\frac{5\,d^3\,x^2\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((42*a^6*e^6 - 2048*b^6*d^6 + 256*a^2*b^4*d^4*e^2 + 128*a^3*b^3*d^3*e^3 + 80*a^4*b^2*d^2*e^4 + 1024*a*b^5*d^5*e + 56*a^5*b*d*e^5)/(231*b*e^12) - (2*b^5*x^6)/e^6 + (x*(308*a^5*b*e^6 - 11264*b^6*d^5*e + 5632*a*b^5*d^4*e^2 + 440*a^4*b^2*d*e^5 + 1408*a^2*b^4*d^3*e^3 + 704*a^3*b^3*d^2*e^4))/(231*b*e^12) + (8*b^2*x^3*(a^3*e^3 - 16*b^3*d^3 + 8*a*b^2*d^2*e + 2*a^2*b*d*e^2))/e^9 + (6*b*x^2*(5*a^4*e^4 - 128*b^4*d^4 + 16*a^2*b^2*d^2*e^2 + 64*a*b^3*d^3*e + 8*a^3*b*d*e^3))/(7*e^10) + (12*b^4*x^5*(a*e - 2*b*d))/e^7 + (10*b^3*x^4*(a^2*e^2 - 8*b^2*d^2 + 4*a*b*d*e))/e^8))/(x^6*(d + e*x)^(1/2) + (a*d^5*(d + e*x)^(1/2))/(b*e^5) + (x^5*(231*a*e^12 + 1155*b*d*e^11)*(d + e*x)^(1/2))/(231*b*e^12) + (5*d*x^4*(a*e + 2*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^4*x*(5*a*e + b*d)*(d + e*x)^(1/2))/(b*e^5) + (10*d^2*x^3*(a*e + b*d)*(d + e*x)^(1/2))/(b*e^3) + (5*d^3*x^2*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^4))","B"
2120,1,561,370,3.485418,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(15/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{462\,a^6\,e^6+504\,a^5\,b\,d\,e^5+560\,a^4\,b^2\,d^2\,e^4+640\,a^3\,b^3\,d^3\,e^3+768\,a^2\,b^4\,d^4\,e^2+1024\,a\,b^5\,d^5\,e+2048\,b^6\,d^6}{3003\,b\,e^{13}}+\frac{2\,b^5\,x^6}{e^7}+\frac{x\,\left(3276\,a^5\,b\,e^6+3640\,a^4\,b^2\,d\,e^5+4160\,a^3\,b^3\,d^2\,e^4+4992\,a^2\,b^4\,d^3\,e^3+6656\,a\,b^5\,d^4\,e^2+13312\,b^6\,d^5\,e\right)}{3003\,b\,e^{13}}+\frac{8\,b^2\,x^3\,\left(5\,a^3\,e^3+6\,a^2\,b\,d\,e^2+8\,a\,b^2\,d^2\,e+16\,b^3\,d^3\right)}{7\,e^{10}}+\frac{2\,b\,x^2\,\left(35\,a^4\,e^4+40\,a^3\,b\,d\,e^3+48\,a^2\,b^2\,d^2\,e^2+64\,a\,b^3\,d^3\,e+128\,b^4\,d^4\right)}{21\,e^{11}}+\frac{4\,b^4\,x^5\,\left(a\,e+2\,b\,d\right)}{e^8}+\frac{2\,b^3\,x^4\,\left(3\,a^2\,e^2+4\,a\,b\,d\,e+8\,b^2\,d^2\right)}{e^9}\right)}{x^7\,\sqrt{d+e\,x}+\frac{a\,d^6\,\sqrt{d+e\,x}}{b\,e^6}+\frac{x^6\,\left(a\,e+6\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e}+\frac{3\,d\,x^5\,\left(2\,a\,e+5\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^5\,x\,\left(6\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^6}+\frac{5\,d^2\,x^4\,\left(3\,a\,e+4\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}+\frac{5\,d^3\,x^3\,\left(4\,a\,e+3\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}+\frac{3\,d^4\,x^2\,\left(5\,a\,e+2\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^5}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((462*a^6*e^6 + 2048*b^6*d^6 + 768*a^2*b^4*d^4*e^2 + 640*a^3*b^3*d^3*e^3 + 560*a^4*b^2*d^2*e^4 + 1024*a*b^5*d^5*e + 504*a^5*b*d*e^5)/(3003*b*e^13) + (2*b^5*x^6)/e^7 + (x*(3276*a^5*b*e^6 + 13312*b^6*d^5*e + 6656*a*b^5*d^4*e^2 + 3640*a^4*b^2*d*e^5 + 4992*a^2*b^4*d^3*e^3 + 4160*a^3*b^3*d^2*e^4))/(3003*b*e^13) + (8*b^2*x^3*(5*a^3*e^3 + 16*b^3*d^3 + 8*a*b^2*d^2*e + 6*a^2*b*d*e^2))/(7*e^10) + (2*b*x^2*(35*a^4*e^4 + 128*b^4*d^4 + 48*a^2*b^2*d^2*e^2 + 64*a*b^3*d^3*e + 40*a^3*b*d*e^3))/(21*e^11) + (4*b^4*x^5*(a*e + 2*b*d))/e^8 + (2*b^3*x^4*(3*a^2*e^2 + 8*b^2*d^2 + 4*a*b*d*e))/e^9))/(x^7*(d + e*x)^(1/2) + (a*d^6*(d + e*x)^(1/2))/(b*e^6) + (x^6*(a*e + 6*b*d)*(d + e*x)^(1/2))/(b*e) + (3*d*x^5*(2*a*e + 5*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^5*x*(6*a*e + b*d)*(d + e*x)^(1/2))/(b*e^6) + (5*d^2*x^4*(3*a*e + 4*b*d)*(d + e*x)^(1/2))/(b*e^3) + (5*d^3*x^3*(4*a*e + 3*b*d)*(d + e*x)^(1/2))/(b*e^4) + (3*d^4*x^2*(5*a*e + 2*b*d)*(d + e*x)^(1/2))/(b*e^5))","B"
2121,1,588,376,3.533196,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2))/(d + e*x)^(17/2),x)","-\frac{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(\frac{6006\,a^6\,e^6+5544\,a^5\,b\,d\,e^5+5040\,a^4\,b^2\,d^2\,e^4+4480\,a^3\,b^3\,d^3\,e^3+3840\,a^2\,b^4\,d^4\,e^2+3072\,a\,b^5\,d^5\,e+2048\,b^6\,d^6}{45045\,b\,e^{14}}+\frac{2\,b^5\,x^6}{3\,e^8}+\frac{x\,\left(41580\,a^5\,b\,e^6+37800\,a^4\,b^2\,d\,e^5+33600\,a^3\,b^3\,d^2\,e^4+28800\,a^2\,b^4\,d^3\,e^3+23040\,a\,b^5\,d^4\,e^2+15360\,b^6\,d^5\,e\right)}{45045\,b\,e^{14}}+\frac{8\,b^2\,x^3\,\left(35\,a^3\,e^3+30\,a^2\,b\,d\,e^2+24\,a\,b^2\,d^2\,e+16\,b^3\,d^3\right)}{63\,e^{11}}+\frac{2\,b\,x^2\,\left(315\,a^4\,e^4+280\,a^3\,b\,d\,e^3+240\,a^2\,b^2\,d^2\,e^2+192\,a\,b^3\,d^3\,e+128\,b^4\,d^4\right)}{231\,e^{12}}+\frac{4\,b^4\,x^5\,\left(3\,a\,e+2\,b\,d\right)}{5\,e^9}+\frac{2\,b^3\,x^4\,\left(15\,a^2\,e^2+12\,a\,b\,d\,e+8\,b^2\,d^2\right)}{7\,e^{10}}\right)}{x^8\,\sqrt{d+e\,x}+\frac{a\,d^7\,\sqrt{d+e\,x}}{b\,e^7}+\frac{x^7\,\left(a\,e+7\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e}+\frac{7\,d\,x^6\,\left(a\,e+3\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}+\frac{d^6\,x\,\left(7\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^7}+\frac{35\,d^3\,x^4\,\left(a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^4}+\frac{7\,d^5\,x^2\,\left(3\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^6}+\frac{7\,d^2\,x^5\,\left(3\,a\,e+5\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^3}+\frac{7\,d^4\,x^3\,\left(5\,a\,e+3\,b\,d\right)\,\sqrt{d+e\,x}}{b\,e^5}}","Not used",1,"-((a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*((6006*a^6*e^6 + 2048*b^6*d^6 + 3840*a^2*b^4*d^4*e^2 + 4480*a^3*b^3*d^3*e^3 + 5040*a^4*b^2*d^2*e^4 + 3072*a*b^5*d^5*e + 5544*a^5*b*d*e^5)/(45045*b*e^14) + (2*b^5*x^6)/(3*e^8) + (x*(41580*a^5*b*e^6 + 15360*b^6*d^5*e + 23040*a*b^5*d^4*e^2 + 37800*a^4*b^2*d*e^5 + 28800*a^2*b^4*d^3*e^3 + 33600*a^3*b^3*d^2*e^4))/(45045*b*e^14) + (8*b^2*x^3*(35*a^3*e^3 + 16*b^3*d^3 + 24*a*b^2*d^2*e + 30*a^2*b*d*e^2))/(63*e^11) + (2*b*x^2*(315*a^4*e^4 + 128*b^4*d^4 + 240*a^2*b^2*d^2*e^2 + 192*a*b^3*d^3*e + 280*a^3*b*d*e^3))/(231*e^12) + (4*b^4*x^5*(3*a*e + 2*b*d))/(5*e^9) + (2*b^3*x^4*(15*a^2*e^2 + 8*b^2*d^2 + 12*a*b*d*e))/(7*e^10)))/(x^8*(d + e*x)^(1/2) + (a*d^7*(d + e*x)^(1/2))/(b*e^7) + (x^7*(a*e + 7*b*d)*(d + e*x)^(1/2))/(b*e) + (7*d*x^6*(a*e + 3*b*d)*(d + e*x)^(1/2))/(b*e^2) + (d^6*x*(7*a*e + b*d)*(d + e*x)^(1/2))/(b*e^7) + (35*d^3*x^4*(a*e + b*d)*(d + e*x)^(1/2))/(b*e^4) + (7*d^5*x^2*(3*a*e + b*d)*(d + e*x)^(1/2))/(b*e^6) + (7*d^2*x^5*(3*a*e + 5*b*d)*(d + e*x)^(1/2))/(b*e^3) + (7*d^4*x^3*(5*a*e + 3*b*d)*(d + e*x)^(1/2))/(b*e^5))","B"
2122,0,-1,41,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(7/2))/((a + b*x)^2)^(1/2), x)","F"
2123,0,-1,41,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(5/2))/((a + b*x)^2)^(1/2), x)","F"
2124,0,-1,41,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(3/2))/((a + b*x)^2)^(1/2), x)","F"
2125,0,-1,41,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/((a + b*x)^2)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,\sqrt{d+e\,x}}{\sqrt{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(1/2))/((a + b*x)^2)^(1/2), x)","F"
2126,1,50,39,2.422052,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(1/2)),x)","\frac{\left(\frac{2\,x}{b}+\frac{2\,d}{b\,e}\right)\,\sqrt{{\left(a+b\,x\right)}^2}}{x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}}","Not used",1,"(((2*x)/b + (2*d)/(b*e))*((a + b*x)^2)^(1/2))/(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b)","B"
2127,1,41,39,2.501332,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(3/2)),x)","-\frac{2\,\sqrt{{\left(a+b\,x\right)}^2}}{b\,e\,\left(x\,\sqrt{d+e\,x}+\frac{a\,\sqrt{d+e\,x}}{b}\right)}","Not used",1,"-(2*((a + b*x)^2)^(1/2))/(b*e*(x*(d + e*x)^(1/2) + (a*(d + e*x)^(1/2))/b))","B"
2128,1,75,41,2.560862,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(5/2)),x)","-\frac{2\,\sqrt{{\left(a+b\,x\right)}^2}}{3\,b\,e^2\,\left(x^2\,\sqrt{d+e\,x}+\frac{a\,d\,\sqrt{d+e\,x}}{b\,e}+\frac{x\,\left(3\,a\,e^2+3\,b\,d\,e\right)\,\sqrt{d+e\,x}}{3\,b\,e^2}\right)}","Not used",1,"-(2*((a + b*x)^2)^(1/2))/(3*b*e^2*(x^2*(d + e*x)^(1/2) + (a*d*(d + e*x)^(1/2))/(b*e) + (x*(3*a*e^2 + 3*b*d*e)*(d + e*x)^(1/2))/(3*b*e^2)))","B"
2129,1,103,41,2.563953,"\text{Not used}","int((a + b*x)/(((a + b*x)^2)^(1/2)*(d + e*x)^(7/2)),x)","-\frac{2\,\sqrt{{\left(a+b\,x\right)}^2}}{5\,b\,e^3\,\left(x^3\,\sqrt{d+e\,x}+\frac{a\,d^2\,\sqrt{d+e\,x}}{b\,e^2}+\frac{x^2\,\left(a\,e^3+2\,b\,d\,e^2\right)\,\sqrt{d+e\,x}}{b\,e^3}+\frac{d\,x\,\left(2\,a\,e+b\,d\right)\,\sqrt{d+e\,x}}{b\,e^2}\right)}","Not used",1,"-(2*((a + b*x)^2)^(1/2))/(5*b*e^3*(x^3*(d + e*x)^(1/2) + (a*d^2*(d + e*x)^(1/2))/(b*e^2) + (x^2*(a*e^3 + 2*b*d*e^2)*(d + e*x)^(1/2))/(b*e^3) + (d*x*(2*a*e + b*d)*(d + e*x)^(1/2))/(b*e^2)))","B"
2130,0,-1,250,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2131,0,-1,198,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2132,0,-1,148,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2133,0,-1,108,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,\sqrt{d+e\,x}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2134,0,-1,114,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2135,0,-1,162,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2136,0,-1,212,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2137,0,-1,264,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2)), x)","F"
2138,0,-1,241,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{7/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(7/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2139,0,-1,197,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(5/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2140,0,-1,207,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(3/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2141,0,-1,217,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,\sqrt{d+e\,x}}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2142,0,-1,225,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{\sqrt{d+e\,x}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2143,0,-1,276,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(3/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2144,0,-1,328,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{5/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(5/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2145,0,-1,382,0.000000,"\text{Not used}","int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)),x)","\int \frac{a+b\,x}{{\left(d+e\,x\right)}^{7/2}\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((d + e*x)^(7/2)*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2)), x)","F"
2146,1,2653,239,3.670152,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(d+e\,x\right)}^m\,\left(a^7\,d\,e^7\,m^7+35\,a^7\,d\,e^7\,m^6+511\,a^7\,d\,e^7\,m^5+4025\,a^7\,d\,e^7\,m^4+18424\,a^7\,d\,e^7\,m^3+48860\,a^7\,d\,e^7\,m^2+69264\,a^7\,d\,e^7\,m+40320\,a^7\,d\,e^7-7\,a^6\,b\,d^2\,e^6\,m^6-231\,a^6\,b\,d^2\,e^6\,m^5-3115\,a^6\,b\,d^2\,e^6\,m^4-21945\,a^6\,b\,d^2\,e^6\,m^3-85078\,a^6\,b\,d^2\,e^6\,m^2-171864\,a^6\,b\,d^2\,e^6\,m-141120\,a^6\,b\,d^2\,e^6+42\,a^5\,b^2\,d^3\,e^5\,m^5+1260\,a^5\,b^2\,d^3\,e^5\,m^4+14910\,a^5\,b^2\,d^3\,e^5\,m^3+86940\,a^5\,b^2\,d^3\,e^5\,m^2+249648\,a^5\,b^2\,d^3\,e^5\,m+282240\,a^5\,b^2\,d^3\,e^5-210\,a^4\,b^3\,d^4\,e^4\,m^4-5460\,a^4\,b^3\,d^4\,e^4\,m^3-52710\,a^4\,b^3\,d^4\,e^4\,m^2-223860\,a^4\,b^3\,d^4\,e^4\,m-352800\,a^4\,b^3\,d^4\,e^4+840\,a^3\,b^4\,d^5\,e^3\,m^3+17640\,a^3\,b^4\,d^5\,e^3\,m^2+122640\,a^3\,b^4\,d^5\,e^3\,m+282240\,a^3\,b^4\,d^5\,e^3-2520\,a^2\,b^5\,d^6\,e^2\,m^2-37800\,a^2\,b^5\,d^6\,e^2\,m-141120\,a^2\,b^5\,d^6\,e^2+5040\,a\,b^6\,d^7\,e\,m+40320\,a\,b^6\,d^7\,e-5040\,b^7\,d^8\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(a^7\,e^8\,m^7+35\,a^7\,e^8\,m^6+511\,a^7\,e^8\,m^5+4025\,a^7\,e^8\,m^4+18424\,a^7\,e^8\,m^3+48860\,a^7\,e^8\,m^2+69264\,a^7\,e^8\,m+40320\,a^7\,e^8+7\,a^6\,b\,d\,e^7\,m^7+231\,a^6\,b\,d\,e^7\,m^6+3115\,a^6\,b\,d\,e^7\,m^5+21945\,a^6\,b\,d\,e^7\,m^4+85078\,a^6\,b\,d\,e^7\,m^3+171864\,a^6\,b\,d\,e^7\,m^2+141120\,a^6\,b\,d\,e^7\,m-42\,a^5\,b^2\,d^2\,e^6\,m^6-1260\,a^5\,b^2\,d^2\,e^6\,m^5-14910\,a^5\,b^2\,d^2\,e^6\,m^4-86940\,a^5\,b^2\,d^2\,e^6\,m^3-249648\,a^5\,b^2\,d^2\,e^6\,m^2-282240\,a^5\,b^2\,d^2\,e^6\,m+210\,a^4\,b^3\,d^3\,e^5\,m^5+5460\,a^4\,b^3\,d^3\,e^5\,m^4+52710\,a^4\,b^3\,d^3\,e^5\,m^3+223860\,a^4\,b^3\,d^3\,e^5\,m^2+352800\,a^4\,b^3\,d^3\,e^5\,m-840\,a^3\,b^4\,d^4\,e^4\,m^4-17640\,a^3\,b^4\,d^4\,e^4\,m^3-122640\,a^3\,b^4\,d^4\,e^4\,m^2-282240\,a^3\,b^4\,d^4\,e^4\,m+2520\,a^2\,b^5\,d^5\,e^3\,m^3+37800\,a^2\,b^5\,d^5\,e^3\,m^2+141120\,a^2\,b^5\,d^5\,e^3\,m-5040\,a\,b^6\,d^6\,e^2\,m^2-40320\,a\,b^6\,d^6\,e^2\,m+5040\,b^7\,d^7\,e\,m\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{b^7\,x^8\,{\left(d+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{7\,b^5\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(3\,a^2\,e^2\,m^2+45\,a^2\,e^2\,m+168\,a^2\,e^2+a\,b\,d\,e\,m^2+8\,a\,b\,d\,e\,m-b^2\,d^2\,m\right)}{e^2\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{7\,b\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(a^6\,e^6\,m^6+33\,a^6\,e^6\,m^5+445\,a^6\,e^6\,m^4+3135\,a^6\,e^6\,m^3+12154\,a^6\,e^6\,m^2+24552\,a^6\,e^6\,m+20160\,a^6\,e^6+3\,a^5\,b\,d\,e^5\,m^6+90\,a^5\,b\,d\,e^5\,m^5+1065\,a^5\,b\,d\,e^5\,m^4+6210\,a^5\,b\,d\,e^5\,m^3+17832\,a^5\,b\,d\,e^5\,m^2+20160\,a^5\,b\,d\,e^5\,m-15\,a^4\,b^2\,d^2\,e^4\,m^5-390\,a^4\,b^2\,d^2\,e^4\,m^4-3765\,a^4\,b^2\,d^2\,e^4\,m^3-15990\,a^4\,b^2\,d^2\,e^4\,m^2-25200\,a^4\,b^2\,d^2\,e^4\,m+60\,a^3\,b^3\,d^3\,e^3\,m^4+1260\,a^3\,b^3\,d^3\,e^3\,m^3+8760\,a^3\,b^3\,d^3\,e^3\,m^2+20160\,a^3\,b^3\,d^3\,e^3\,m-180\,a^2\,b^4\,d^4\,e^2\,m^3-2700\,a^2\,b^4\,d^4\,e^2\,m^2-10080\,a^2\,b^4\,d^4\,e^2\,m+360\,a\,b^5\,d^5\,e\,m^2+2880\,a\,b^5\,d^5\,e\,m-360\,b^6\,d^6\,m\right)}{e^6\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{7\,b^4\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(5\,a^3\,e^3\,m^3+105\,a^3\,e^3\,m^2+730\,a^3\,e^3\,m+1680\,a^3\,e^3+3\,a^2\,b\,d\,e^2\,m^3+45\,a^2\,b\,d\,e^2\,m^2+168\,a^2\,b\,d\,e^2\,m-6\,a\,b^2\,d^2\,e\,m^2-48\,a\,b^2\,d^2\,e\,m+6\,b^3\,d^3\,m\right)}{e^3\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{b^6\,x^7\,{\left(d+e\,x\right)}^m\,\left(56\,a\,e+7\,a\,e\,m+b\,d\,m\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{35\,b^3\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(a^4\,e^4\,m^4+26\,a^4\,e^4\,m^3+251\,a^4\,e^4\,m^2+1066\,a^4\,e^4\,m+1680\,a^4\,e^4+a^3\,b\,d\,e^3\,m^4+21\,a^3\,b\,d\,e^3\,m^3+146\,a^3\,b\,d\,e^3\,m^2+336\,a^3\,b\,d\,e^3\,m-3\,a^2\,b^2\,d^2\,e^2\,m^3-45\,a^2\,b^2\,d^2\,e^2\,m^2-168\,a^2\,b^2\,d^2\,e^2\,m+6\,a\,b^3\,d^3\,e\,m^2+48\,a\,b^3\,d^3\,e\,m-6\,b^4\,d^4\,m\right)}{e^4\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{7\,b^2\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(3\,a^5\,e^5\,m^5+90\,a^5\,e^5\,m^4+1065\,a^5\,e^5\,m^3+6210\,a^5\,e^5\,m^2+17832\,a^5\,e^5\,m+20160\,a^5\,e^5+5\,a^4\,b\,d\,e^4\,m^5+130\,a^4\,b\,d\,e^4\,m^4+1255\,a^4\,b\,d\,e^4\,m^3+5330\,a^4\,b\,d\,e^4\,m^2+8400\,a^4\,b\,d\,e^4\,m-20\,a^3\,b^2\,d^2\,e^3\,m^4-420\,a^3\,b^2\,d^2\,e^3\,m^3-2920\,a^3\,b^2\,d^2\,e^3\,m^2-6720\,a^3\,b^2\,d^2\,e^3\,m+60\,a^2\,b^3\,d^3\,e^2\,m^3+900\,a^2\,b^3\,d^3\,e^2\,m^2+3360\,a^2\,b^3\,d^3\,e^2\,m-120\,a\,b^4\,d^4\,e\,m^2-960\,a\,b^4\,d^4\,e\,m+120\,b^5\,d^5\,m\right)}{e^5\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}","Not used",1,"((d + e*x)^m*(40320*a^7*d*e^7 - 5040*b^7*d^8 - 141120*a^6*b*d^2*e^6 + 48860*a^7*d*e^7*m^2 + 18424*a^7*d*e^7*m^3 + 4025*a^7*d*e^7*m^4 + 511*a^7*d*e^7*m^5 + 35*a^7*d*e^7*m^6 + a^7*d*e^7*m^7 - 141120*a^2*b^5*d^6*e^2 + 282240*a^3*b^4*d^5*e^3 - 352800*a^4*b^3*d^4*e^4 + 282240*a^5*b^2*d^3*e^5 + 40320*a*b^6*d^7*e + 69264*a^7*d*e^7*m + 5040*a*b^6*d^7*e*m - 2520*a^2*b^5*d^6*e^2*m^2 + 17640*a^3*b^4*d^5*e^3*m^2 - 52710*a^4*b^3*d^4*e^4*m^2 + 86940*a^5*b^2*d^3*e^5*m^2 + 840*a^3*b^4*d^5*e^3*m^3 - 5460*a^4*b^3*d^4*e^4*m^3 + 14910*a^5*b^2*d^3*e^5*m^3 - 210*a^4*b^3*d^4*e^4*m^4 + 1260*a^5*b^2*d^3*e^5*m^4 + 42*a^5*b^2*d^3*e^5*m^5 - 171864*a^6*b*d^2*e^6*m - 37800*a^2*b^5*d^6*e^2*m + 122640*a^3*b^4*d^5*e^3*m - 223860*a^4*b^3*d^4*e^4*m + 249648*a^5*b^2*d^3*e^5*m - 85078*a^6*b*d^2*e^6*m^2 - 21945*a^6*b*d^2*e^6*m^3 - 3115*a^6*b*d^2*e^6*m^4 - 231*a^6*b*d^2*e^6*m^5 - 7*a^6*b*d^2*e^6*m^6))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x*(d + e*x)^m*(40320*a^7*e^8 + 69264*a^7*e^8*m + 48860*a^7*e^8*m^2 + 18424*a^7*e^8*m^3 + 4025*a^7*e^8*m^4 + 511*a^7*e^8*m^5 + 35*a^7*e^8*m^6 + a^7*e^8*m^7 + 5040*b^7*d^7*e*m + 141120*a^6*b*d*e^7*m + 37800*a^2*b^5*d^5*e^3*m^2 - 122640*a^3*b^4*d^4*e^4*m^2 + 223860*a^4*b^3*d^3*e^5*m^2 - 249648*a^5*b^2*d^2*e^6*m^2 + 2520*a^2*b^5*d^5*e^3*m^3 - 17640*a^3*b^4*d^4*e^4*m^3 + 52710*a^4*b^3*d^3*e^5*m^3 - 86940*a^5*b^2*d^2*e^6*m^3 - 840*a^3*b^4*d^4*e^4*m^4 + 5460*a^4*b^3*d^3*e^5*m^4 - 14910*a^5*b^2*d^2*e^6*m^4 + 210*a^4*b^3*d^3*e^5*m^5 - 1260*a^5*b^2*d^2*e^6*m^5 - 42*a^5*b^2*d^2*e^6*m^6 - 40320*a*b^6*d^6*e^2*m + 171864*a^6*b*d*e^7*m^2 + 85078*a^6*b*d*e^7*m^3 + 21945*a^6*b*d*e^7*m^4 + 3115*a^6*b*d*e^7*m^5 + 231*a^6*b*d*e^7*m^6 + 7*a^6*b*d*e^7*m^7 + 141120*a^2*b^5*d^5*e^3*m - 282240*a^3*b^4*d^4*e^4*m + 352800*a^4*b^3*d^3*e^5*m - 282240*a^5*b^2*d^2*e^6*m - 5040*a*b^6*d^6*e^2*m^2))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (b^7*x^8*(d + 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) + (7*b^5*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(168*a^2*e^2 + 45*a^2*e^2*m - b^2*d^2*m + 3*a^2*e^2*m^2 + 8*a*b*d*e*m + a*b*d*e*m^2))/(e^2*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (7*b*x^2*(m + 1)*(d + e*x)^m*(20160*a^6*e^6 + 24552*a^6*e^6*m - 360*b^6*d^6*m + 12154*a^6*e^6*m^2 + 3135*a^6*e^6*m^3 + 445*a^6*e^6*m^4 + 33*a^6*e^6*m^5 + a^6*e^6*m^6 + 2880*a*b^5*d^5*e*m + 20160*a^5*b*d*e^5*m - 2700*a^2*b^4*d^4*e^2*m^2 + 8760*a^3*b^3*d^3*e^3*m^2 - 15990*a^4*b^2*d^2*e^4*m^2 - 180*a^2*b^4*d^4*e^2*m^3 + 1260*a^3*b^3*d^3*e^3*m^3 - 3765*a^4*b^2*d^2*e^4*m^3 + 60*a^3*b^3*d^3*e^3*m^4 - 390*a^4*b^2*d^2*e^4*m^4 - 15*a^4*b^2*d^2*e^4*m^5 + 360*a*b^5*d^5*e*m^2 + 17832*a^5*b*d*e^5*m^2 + 6210*a^5*b*d*e^5*m^3 + 1065*a^5*b*d*e^5*m^4 + 90*a^5*b*d*e^5*m^5 + 3*a^5*b*d*e^5*m^6 - 10080*a^2*b^4*d^4*e^2*m + 20160*a^3*b^3*d^3*e^3*m - 25200*a^4*b^2*d^2*e^4*m))/(e^6*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (7*b^4*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(1680*a^3*e^3 + 730*a^3*e^3*m + 6*b^3*d^3*m + 105*a^3*e^3*m^2 + 5*a^3*e^3*m^3 - 48*a*b^2*d^2*e*m + 168*a^2*b*d*e^2*m - 6*a*b^2*d^2*e*m^2 + 45*a^2*b*d*e^2*m^2 + 3*a^2*b*d*e^2*m^3))/(e^3*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (b^6*x^7*(d + e*x)^m*(56*a*e + 7*a*e*m + b*d*m)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (35*b^3*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(1680*a^4*e^4 + 1066*a^4*e^4*m - 6*b^4*d^4*m + 251*a^4*e^4*m^2 + 26*a^4*e^4*m^3 + a^4*e^4*m^4 + 48*a*b^3*d^3*e*m + 336*a^3*b*d*e^3*m - 45*a^2*b^2*d^2*e^2*m^2 - 3*a^2*b^2*d^2*e^2*m^3 + 6*a*b^3*d^3*e*m^2 + 146*a^3*b*d*e^3*m^2 + 21*a^3*b*d*e^3*m^3 + a^3*b*d*e^3*m^4 - 168*a^2*b^2*d^2*e^2*m))/(e^4*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (7*b^2*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(20160*a^5*e^5 + 17832*a^5*e^5*m + 120*b^5*d^5*m + 6210*a^5*e^5*m^2 + 1065*a^5*e^5*m^3 + 90*a^5*e^5*m^4 + 3*a^5*e^5*m^5 - 960*a*b^4*d^4*e*m + 8400*a^4*b*d*e^4*m + 900*a^2*b^3*d^3*e^2*m^2 - 2920*a^3*b^2*d^2*e^3*m^2 + 60*a^2*b^3*d^3*e^2*m^3 - 420*a^3*b^2*d^2*e^3*m^3 - 20*a^3*b^2*d^2*e^3*m^4 - 120*a*b^4*d^4*e*m^2 + 5330*a^4*b*d*e^4*m^2 + 1255*a^4*b*d*e^4*m^3 + 130*a^4*b*d*e^4*m^4 + 5*a^4*b*d*e^4*m^5 + 3360*a^2*b^3*d^3*e^2*m - 6720*a^3*b^2*d^2*e^3*m))/(e^5*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))","B"
2147,1,1291,175,2.776647,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\frac{{\left(d+e\,x\right)}^m\,\left(a^5\,d\,e^5\,m^5+20\,a^5\,d\,e^5\,m^4+155\,a^5\,d\,e^5\,m^3+580\,a^5\,d\,e^5\,m^2+1044\,a^5\,d\,e^5\,m+720\,a^5\,d\,e^5-5\,a^4\,b\,d^2\,e^4\,m^4-90\,a^4\,b\,d^2\,e^4\,m^3-595\,a^4\,b\,d^2\,e^4\,m^2-1710\,a^4\,b\,d^2\,e^4\,m-1800\,a^4\,b\,d^2\,e^4+20\,a^3\,b^2\,d^3\,e^3\,m^3+300\,a^3\,b^2\,d^3\,e^3\,m^2+1480\,a^3\,b^2\,d^3\,e^3\,m+2400\,a^3\,b^2\,d^3\,e^3-60\,a^2\,b^3\,d^4\,e^2\,m^2-660\,a^2\,b^3\,d^4\,e^2\,m-1800\,a^2\,b^3\,d^4\,e^2+120\,a\,b^4\,d^5\,e\,m+720\,a\,b^4\,d^5\,e-120\,b^5\,d^6\right)}{e^6\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{b^5\,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{x\,{\left(d+e\,x\right)}^m\,\left(a^5\,e^6\,m^5+20\,a^5\,e^6\,m^4+155\,a^5\,e^6\,m^3+580\,a^5\,e^6\,m^2+1044\,a^5\,e^6\,m+720\,a^5\,e^6+5\,a^4\,b\,d\,e^5\,m^5+90\,a^4\,b\,d\,e^5\,m^4+595\,a^4\,b\,d\,e^5\,m^3+1710\,a^4\,b\,d\,e^5\,m^2+1800\,a^4\,b\,d\,e^5\,m-20\,a^3\,b^2\,d^2\,e^4\,m^4-300\,a^3\,b^2\,d^2\,e^4\,m^3-1480\,a^3\,b^2\,d^2\,e^4\,m^2-2400\,a^3\,b^2\,d^2\,e^4\,m+60\,a^2\,b^3\,d^3\,e^3\,m^3+660\,a^2\,b^3\,d^3\,e^3\,m^2+1800\,a^2\,b^3\,d^3\,e^3\,m-120\,a\,b^4\,d^4\,e^2\,m^2-720\,a\,b^4\,d^4\,e^2\,m+120\,b^5\,d^5\,e\,m\right)}{e^6\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{5\,b\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(a^4\,e^4\,m^4+18\,a^4\,e^4\,m^3+119\,a^4\,e^4\,m^2+342\,a^4\,e^4\,m+360\,a^4\,e^4+2\,a^3\,b\,d\,e^3\,m^4+30\,a^3\,b\,d\,e^3\,m^3+148\,a^3\,b\,d\,e^3\,m^2+240\,a^3\,b\,d\,e^3\,m-6\,a^2\,b^2\,d^2\,e^2\,m^3-66\,a^2\,b^2\,d^2\,e^2\,m^2-180\,a^2\,b^2\,d^2\,e^2\,m+12\,a\,b^3\,d^3\,e\,m^2+72\,a\,b^3\,d^3\,e\,m-12\,b^4\,d^4\,m\right)}{e^4\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{5\,b^3\,x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(2\,a^2\,e^2\,m^2+22\,a^2\,e^2\,m+60\,a^2\,e^2+a\,b\,d\,e\,m^2+6\,a\,b\,d\,e\,m-b^2\,d^2\,m\right)}{e^2\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{10\,b^2\,x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(a^3\,e^3\,m^3+15\,a^3\,e^3\,m^2+74\,a^3\,e^3\,m+120\,a^3\,e^3+a^2\,b\,d\,e^2\,m^3+11\,a^2\,b\,d\,e^2\,m^2+30\,a^2\,b\,d\,e^2\,m-2\,a\,b^2\,d^2\,e\,m^2-12\,a\,b^2\,d^2\,e\,m+2\,b^3\,d^3\,m\right)}{e^3\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{b^4\,x^5\,{\left(d+e\,x\right)}^m\,\left(30\,a\,e+5\,a\,e\,m+b\,d\,m\right)\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}{e\,\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^5*d*e^5 - 120*b^5*d^6 - 1800*a^4*b*d^2*e^4 + 580*a^5*d*e^5*m^2 + 155*a^5*d*e^5*m^3 + 20*a^5*d*e^5*m^4 + a^5*d*e^5*m^5 - 1800*a^2*b^3*d^4*e^2 + 2400*a^3*b^2*d^3*e^3 + 720*a*b^4*d^5*e + 1044*a^5*d*e^5*m + 120*a*b^4*d^5*e*m - 60*a^2*b^3*d^4*e^2*m^2 + 300*a^3*b^2*d^3*e^3*m^2 + 20*a^3*b^2*d^3*e^3*m^3 - 1710*a^4*b*d^2*e^4*m - 660*a^2*b^3*d^4*e^2*m + 1480*a^3*b^2*d^3*e^3*m - 595*a^4*b*d^2*e^4*m^2 - 90*a^4*b*d^2*e^4*m^3 - 5*a^4*b*d^2*e^4*m^4))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (b^5*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) + (x*(d + e*x)^m*(720*a^5*e^6 + 1044*a^5*e^6*m + 580*a^5*e^6*m^2 + 155*a^5*e^6*m^3 + 20*a^5*e^6*m^4 + a^5*e^6*m^5 + 120*b^5*d^5*e*m + 1800*a^4*b*d*e^5*m + 660*a^2*b^3*d^3*e^3*m^2 - 1480*a^3*b^2*d^2*e^4*m^2 + 60*a^2*b^3*d^3*e^3*m^3 - 300*a^3*b^2*d^2*e^4*m^3 - 20*a^3*b^2*d^2*e^4*m^4 - 720*a*b^4*d^4*e^2*m + 1710*a^4*b*d*e^5*m^2 + 595*a^4*b*d*e^5*m^3 + 90*a^4*b*d*e^5*m^4 + 5*a^4*b*d*e^5*m^5 + 1800*a^2*b^3*d^3*e^3*m - 2400*a^3*b^2*d^2*e^4*m - 120*a*b^4*d^4*e^2*m^2))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (5*b*x^2*(m + 1)*(d + e*x)^m*(360*a^4*e^4 + 342*a^4*e^4*m - 12*b^4*d^4*m + 119*a^4*e^4*m^2 + 18*a^4*e^4*m^3 + a^4*e^4*m^4 + 72*a*b^3*d^3*e*m + 240*a^3*b*d*e^3*m - 66*a^2*b^2*d^2*e^2*m^2 - 6*a^2*b^2*d^2*e^2*m^3 + 12*a*b^3*d^3*e*m^2 + 148*a^3*b*d*e^3*m^2 + 30*a^3*b*d*e^3*m^3 + 2*a^3*b*d*e^3*m^4 - 180*a^2*b^2*d^2*e^2*m))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (5*b^3*x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(60*a^2*e^2 + 22*a^2*e^2*m - b^2*d^2*m + 2*a^2*e^2*m^2 + 6*a*b*d*e*m + 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)) + (10*b^2*x^3*(d + e*x)^m*(3*m + m^2 + 2)*(120*a^3*e^3 + 74*a^3*e^3*m + 2*b^3*d^3*m + 15*a^3*e^3*m^2 + a^3*e^3*m^3 - 12*a*b^2*d^2*e*m + 30*a^2*b*d*e^2*m - 2*a*b^2*d^2*e*m^2 + 11*a^2*b*d*e^2*m^2 + 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^4*x^5*(d + e*x)^m*(30*a*e + 5*a*e*m + b*d*m)*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
2148,1,478,111,2.433063,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x),x)","\frac{x\,{\left(d+e\,x\right)}^m\,\left(a^3\,e^4\,m^3+9\,a^3\,e^4\,m^2+26\,a^3\,e^4\,m+24\,a^3\,e^4+3\,a^2\,b\,d\,e^3\,m^3+21\,a^2\,b\,d\,e^3\,m^2+36\,a^2\,b\,d\,e^3\,m-6\,a\,b^2\,d^2\,e^2\,m^2-24\,a\,b^2\,d^2\,e^2\,m+6\,b^3\,d^3\,e\,m\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b^3\,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{d\,{\left(d+e\,x\right)}^m\,\left(a^3\,e^3\,m^3+9\,a^3\,e^3\,m^2+26\,a^3\,e^3\,m+24\,a^3\,e^3-3\,a^2\,b\,d\,e^2\,m^2-21\,a^2\,b\,d\,e^2\,m-36\,a^2\,b\,d\,e^2+6\,a\,b^2\,d^2\,e\,m+24\,a\,b^2\,d^2\,e-6\,b^3\,d^3\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{3\,b\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(a^2\,e^2\,m^2+7\,a^2\,e^2\,m+12\,a^2\,e^2+a\,b\,d\,e\,m^2+4\,a\,b\,d\,e\,m-b^2\,d^2\,m\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{b^2\,x^3\,{\left(d+e\,x\right)}^m\,\left(12\,a\,e+3\,a\,e\,m+b\,d\,m\right)\,\left(m^2+3\,m+2\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"(x*(d + e*x)^m*(24*a^3*e^4 + 26*a^3*e^4*m + 9*a^3*e^4*m^2 + a^3*e^4*m^3 + 6*b^3*d^3*e*m + 36*a^2*b*d*e^3*m - 24*a*b^2*d^2*e^2*m + 21*a^2*b*d*e^3*m^2 + 3*a^2*b*d*e^3*m^3 - 6*a*b^2*d^2*e^2*m^2))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b^3*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) + (d*(d + e*x)^m*(24*a^3*e^3 - 6*b^3*d^3 + 26*a^3*e^3*m + 9*a^3*e^3*m^2 + a^3*e^3*m^3 + 24*a*b^2*d^2*e - 36*a^2*b*d*e^2 + 6*a*b^2*d^2*e*m - 21*a^2*b*d*e^2*m - 3*a^2*b*d*e^2*m^2))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (3*b*x^2*(m + 1)*(d + e*x)^m*(12*a^2*e^2 + 7*a^2*e^2*m - b^2*d^2*m + a^2*e^2*m^2 + 4*a*b*d*e*m + a*b*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (b^2*x^3*(d + e*x)^m*(12*a*e + 3*a*e*m + b*d*m)*(3*m + m^2 + 2))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
2149,0,-1,51,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^m}{a^2+2\,a\,b\,x+b^2\,x^2} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x), x)","F"
2150,0,-1,54,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^2,x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^2} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^2, x)","F"
2151,0,-1,395,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2152,0,-1,277,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2153,0,-1,159,0.000000,"\text{Not used}","int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2),x)","\int \left(a+b\,x\right)\,{\left(d+e\,x\right)}^m\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2} \,d x","Not used",1,"int((a + b*x)*(d + e*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2), x)","F"
2154,0,-1,43,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(1/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^m}{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(1/2), x)","F"
2155,0,-1,76,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2), x)","F"
2156,0,-1,78,0.000000,"\text{Not used}","int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2),x)","\int \frac{\left(a+b\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x)*(d + e*x)^m)/(a^2 + b^2*x^2 + 2*a*b*x)^(5/2), x)","F"
2157,1,178,51,2.249795,"\text{Not used}","int(((a*c + b*c*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p)/(d + e*x)^(2*p + 3),x)","-{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{a^2\,c\,d}{2\,\left(a\,e-b\,d\right)\,\left(p+1\right)\,{\left(d+e\,x\right)}^{2\,p+3}}+\frac{a\,c\,x\,\left(a\,e+2\,b\,d\right)}{2\,\left(a\,e-b\,d\right)\,\left(p+1\right)\,{\left(d+e\,x\right)}^{2\,p+3}}+\frac{b\,c\,x^2\,\left(2\,a\,e+b\,d\right)}{2\,\left(a\,e-b\,d\right)\,\left(p+1\right)\,{\left(d+e\,x\right)}^{2\,p+3}}+\frac{b^2\,c\,e\,x^3}{2\,\left(a\,e-b\,d\right)\,\left(p+1\right)\,{\left(d+e\,x\right)}^{2\,p+3}}\right)","Not used",1,"-(a^2 + b^2*x^2 + 2*a*b*x)^p*((a^2*c*d)/(2*(a*e - b*d)*(p + 1)*(d + e*x)^(2*p + 3)) + (a*c*x*(a*e + 2*b*d))/(2*(a*e - b*d)*(p + 1)*(d + e*x)^(2*p + 3)) + (b*c*x^2*(2*a*e + b*d))/(2*(a*e - b*d)*(p + 1)*(d + e*x)^(2*p + 3)) + (b^2*c*e*x^3)/(2*(a*e - b*d)*(p + 1)*(d + e*x)^(2*p + 3)))","B"
2158,1,683,183,2.489868,"\text{Not used}","int((a + b*x)*(d + e*x)^3*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{x^2\,\left(-6\,a^3\,b^2\,e^3\,p^2-3\,a^3\,b^2\,e^3\,p+12\,a^2\,b^3\,d\,e^2\,p^3+36\,a^2\,b^3\,d\,e^2\,p^2+15\,a^2\,b^3\,d\,e^2\,p+24\,a\,b^4\,d^2\,e\,p^3+126\,a\,b^4\,d^2\,e\,p^2+201\,a\,b^4\,d^2\,e\,p+90\,a\,b^4\,d^2\,e+4\,b^5\,d^3\,p^3+24\,b^5\,d^3\,p^2+47\,b^5\,d^3\,p+30\,b^5\,d^3\right)}{2\,b^4\,\left(4\,p^4+28\,p^3+71\,p^2+77\,p+30\right)}+\frac{a^2\,\left(-3\,a^3\,e^3+6\,a^2\,b\,d\,e^2\,p+15\,a^2\,b\,d\,e^2-6\,a\,b^2\,d^2\,e\,p^2-27\,a\,b^2\,d^2\,e\,p-30\,a\,b^2\,d^2\,e+4\,b^3\,d^3\,p^3+24\,b^3\,d^3\,p^2+47\,b^3\,d^3\,p+30\,b^3\,d^3\right)}{2\,b^4\,\left(4\,p^4+28\,p^3+71\,p^2+77\,p+30\right)}+\frac{b\,e^3\,x^5\,\left(2\,p^3+9\,p^2+13\,p+6\right)}{4\,p^4+28\,p^3+71\,p^2+77\,p+30}+\frac{a\,x\,\left(3\,a^3\,e^3\,p-6\,a^2\,b\,d\,e^2\,p^2-15\,a^2\,b\,d\,e^2\,p+6\,a\,b^2\,d^2\,e\,p^3+27\,a\,b^2\,d^2\,e\,p^2+30\,a\,b^2\,d^2\,e\,p+4\,b^3\,d^3\,p^3+24\,b^3\,d^3\,p^2+47\,b^3\,d^3\,p+30\,b^3\,d^3\right)}{b^3\,\left(4\,p^4+28\,p^3+71\,p^2+77\,p+30\right)}+\frac{e^2\,x^4\,\left(2\,p^2+5\,p+3\right)\,\left(5\,a\,e+15\,b\,d+4\,a\,e\,p+6\,b\,d\,p\right)}{2\,\left(4\,p^4+28\,p^3+71\,p^2+77\,p+30\right)}+\frac{e\,x^3\,\left(p+1\right)\,\left(2\,a^2\,e^2\,p^2+a^2\,e^2\,p+12\,a\,b\,d\,e\,p^2+42\,a\,b\,d\,e\,p+30\,a\,b\,d\,e+6\,b^2\,d^2\,p^2+27\,b^2\,d^2\,p+30\,b^2\,d^2\right)}{b\,\left(4\,p^4+28\,p^3+71\,p^2+77\,p+30\right)}\right)","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^p*((x^2*(30*b^5*d^3 + 47*b^5*d^3*p + 24*b^5*d^3*p^2 + 4*b^5*d^3*p^3 - 3*a^3*b^2*e^3*p - 6*a^3*b^2*e^3*p^2 + 90*a*b^4*d^2*e + 201*a*b^4*d^2*e*p + 15*a^2*b^3*d*e^2*p + 126*a*b^4*d^2*e*p^2 + 24*a*b^4*d^2*e*p^3 + 36*a^2*b^3*d*e^2*p^2 + 12*a^2*b^3*d*e^2*p^3))/(2*b^4*(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30)) + (a^2*(30*b^3*d^3 - 3*a^3*e^3 + 47*b^3*d^3*p + 24*b^3*d^3*p^2 + 4*b^3*d^3*p^3 - 30*a*b^2*d^2*e + 15*a^2*b*d*e^2 - 27*a*b^2*d^2*e*p + 6*a^2*b*d*e^2*p - 6*a*b^2*d^2*e*p^2))/(2*b^4*(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30)) + (b*e^3*x^5*(13*p + 9*p^2 + 2*p^3 + 6))/(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30) + (a*x*(30*b^3*d^3 + 3*a^3*e^3*p + 47*b^3*d^3*p + 24*b^3*d^3*p^2 + 4*b^3*d^3*p^3 + 30*a*b^2*d^2*e*p - 15*a^2*b*d*e^2*p + 27*a*b^2*d^2*e*p^2 - 6*a^2*b*d*e^2*p^2 + 6*a*b^2*d^2*e*p^3))/(b^3*(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30)) + (e^2*x^4*(5*p + 2*p^2 + 3)*(5*a*e + 15*b*d + 4*a*e*p + 6*b*d*p))/(2*(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30)) + (e*x^3*(p + 1)*(30*b^2*d^2 + a^2*e^2*p + 27*b^2*d^2*p + 2*a^2*e^2*p^2 + 6*b^2*d^2*p^2 + 30*a*b*d*e + 42*a*b*d*e*p + 12*a*b*d*e*p^2))/(b*(77*p + 71*p^2 + 28*p^3 + 4*p^4 + 30)))","B"
2159,1,355,134,2.271778,"\text{Not used}","int((a + b*x)*(d + e*x)^2*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{a^2\,\left(a^2\,e^2-2\,a\,b\,d\,e\,p-4\,a\,b\,d\,e+2\,b^2\,d^2\,p^2+7\,b^2\,d^2\,p+6\,b^2\,d^2\right)}{2\,b^3\,\left(2\,p^3+9\,p^2+13\,p+6\right)}+\frac{x^2\,\left(2\,a^2\,b^2\,e^2\,p^2+a^2\,b^2\,e^2\,p+8\,a\,b^3\,d\,e\,p^2+22\,a\,b^3\,d\,e\,p+12\,a\,b^3\,d\,e+2\,b^4\,d^2\,p^2+7\,b^4\,d^2\,p+6\,b^4\,d^2\right)}{2\,b^3\,\left(2\,p^3+9\,p^2+13\,p+6\right)}+\frac{2\,e\,x^3\,\left(p+1\right)\,\left(a\,e+2\,b\,d+a\,e\,p+b\,d\,p\right)}{2\,p^3+9\,p^2+13\,p+6}+\frac{a\,x\,\left(-a^2\,e^2\,p+2\,a\,b\,d\,e\,p^2+4\,a\,b\,d\,e\,p+2\,b^2\,d^2\,p^2+7\,b^2\,d^2\,p+6\,b^2\,d^2\right)}{b^2\,\left(2\,p^3+9\,p^2+13\,p+6\right)}+\frac{b\,e^2\,x^4\,\left(2\,p^2+5\,p+3\right)}{2\,\left(2\,p^3+9\,p^2+13\,p+6\right)}\right)","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^p*((a^2*(a^2*e^2 + 6*b^2*d^2 + 7*b^2*d^2*p + 2*b^2*d^2*p^2 - 4*a*b*d*e - 2*a*b*d*e*p))/(2*b^3*(13*p + 9*p^2 + 2*p^3 + 6)) + (x^2*(6*b^4*d^2 + 7*b^4*d^2*p + 2*b^4*d^2*p^2 + a^2*b^2*e^2*p + 12*a*b^3*d*e + 2*a^2*b^2*e^2*p^2 + 8*a*b^3*d*e*p^2 + 22*a*b^3*d*e*p))/(2*b^3*(13*p + 9*p^2 + 2*p^3 + 6)) + (2*e*x^3*(p + 1)*(a*e + 2*b*d + a*e*p + b*d*p))/(13*p + 9*p^2 + 2*p^3 + 6) + (a*x*(6*b^2*d^2 - a^2*e^2*p + 7*b^2*d^2*p + 2*b^2*d^2*p^2 + 4*a*b*d*e*p + 2*a*b*d*e*p^2))/(b^2*(13*p + 9*p^2 + 2*p^3 + 6)) + (b*e^2*x^4*(5*p + 2*p^2 + 3))/(2*(13*p + 9*p^2 + 2*p^3 + 6)))","B"
2160,1,142,83,2.150510,"\text{Not used}","int((a + b*x)*(d + e*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{x^2\,\left(3\,a\,e+3\,b\,d+4\,a\,e\,p+2\,b\,d\,p\right)}{2\,\left(2\,p^2+5\,p+3\right)}+\frac{a^2\,\left(3\,b\,d-a\,e+2\,b\,d\,p\right)}{2\,b^2\,\left(2\,p^2+5\,p+3\right)}+\frac{a\,x\,\left(3\,b\,d+a\,e\,p+2\,b\,d\,p\right)}{b\,\left(2\,p^2+5\,p+3\right)}+\frac{b\,e\,x^3\,\left(p+1\right)}{2\,p^2+5\,p+3}\right)","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^p*((x^2*(3*a*e + 3*b*d + 4*a*e*p + 2*b*d*p))/(2*(5*p + 2*p^2 + 3)) + (a^2*(3*b*d - a*e + 2*b*d*p))/(2*b^2*(5*p + 2*p^2 + 3)) + (a*x*(3*b*d + a*e*p + 2*b*d*p))/(b*(5*p + 2*p^2 + 3)) + (b*e*x^3*(p + 1))/(5*p + 2*p^2 + 3))","B"
2161,1,53,32,2.067471,"\text{Not used}","int((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","\left(\frac{a^2}{2\,b\,\left(p+1\right)}+\frac{a\,x}{p+1}+\frac{b\,x^2}{2\,\left(p+1\right)}\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p","Not used",1,"(a^2/(2*b*(p + 1)) + (a*x)/(p + 1) + (b*x^2)/(2*(p + 1)))*(a^2 + b^2*x^2 + 2*a*b*x)^p","B"
2162,0,-1,74,0.000000,"\text{Not used}","int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p)/(d + e*x),x)","\int \frac{\left(a+b\,x\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p}{d+e\,x} \,d x","Not used",1,"int(((a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p)/(d + e*x), x)","F"
2163,1,319,58,2.552386,"\text{Not used}","int((a*c + b*c*x)^m*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","{\left(a\,c+b\,c\,x\right)}^m\,\left(\frac{a^7\,\left(8\,A\,b-B\,a+A\,b\,m\right)}{b^2\,\left(m^2+15\,m+56\right)}+\frac{7\,a^5\,x^2\,\left(24\,A\,b+4\,B\,a+3\,A\,b\,m+B\,a\,m\right)}{m^2+15\,m+56}+\frac{b^5\,x^7\,\left(8\,A\,b+48\,B\,a+A\,b\,m+7\,B\,a\,m\right)}{m^2+15\,m+56}+\frac{35\,a^3\,b^2\,x^4\,\left(8\,A\,b+6\,B\,a+A\,b\,m+B\,a\,m\right)}{m^2+15\,m+56}+\frac{7\,a^2\,b^3\,x^5\,\left(24\,A\,b+32\,B\,a+3\,A\,b\,m+5\,B\,a\,m\right)}{m^2+15\,m+56}+\frac{B\,b^6\,x^8\,\left(m+7\right)}{m^2+15\,m+56}+\frac{a^6\,x\,\left(56\,A\,b+7\,A\,b\,m+B\,a\,m\right)}{b\,\left(m^2+15\,m+56\right)}+\frac{7\,a\,b^4\,x^6\,\left(8\,A\,b+20\,B\,a+A\,b\,m+3\,B\,a\,m\right)}{m^2+15\,m+56}+\frac{7\,a^4\,b\,x^3\,\left(40\,A\,b+16\,B\,a+5\,A\,b\,m+3\,B\,a\,m\right)}{m^2+15\,m+56}\right)","Not used",1,"(a*c + b*c*x)^m*((a^7*(8*A*b - B*a + A*b*m))/(b^2*(15*m + m^2 + 56)) + (7*a^5*x^2*(24*A*b + 4*B*a + 3*A*b*m + B*a*m))/(15*m + m^2 + 56) + (b^5*x^7*(8*A*b + 48*B*a + A*b*m + 7*B*a*m))/(15*m + m^2 + 56) + (35*a^3*b^2*x^4*(8*A*b + 6*B*a + A*b*m + B*a*m))/(15*m + m^2 + 56) + (7*a^2*b^3*x^5*(24*A*b + 32*B*a + 3*A*b*m + 5*B*a*m))/(15*m + m^2 + 56) + (B*b^6*x^8*(m + 7))/(15*m + m^2 + 56) + (a^6*x*(56*A*b + 7*A*b*m + B*a*m))/(b*(15*m + m^2 + 56)) + (7*a*b^4*x^6*(8*A*b + 20*B*a + A*b*m + 3*B*a*m))/(15*m + m^2 + 56) + (7*a^4*b*x^3*(40*A*b + 16*B*a + 5*A*b*m + 3*B*a*m))/(15*m + m^2 + 56))","B"
2164,1,113,64,2.201782,"\text{Not used}","int(((a*c + b*c*x)^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","-\frac{{\left(a\,c+b\,c\,x\right)}^m\,\left(\frac{4\,A\,b+B\,a-A\,b\,m}{b^7\,\left(m^2-9\,m+20\right)}-\frac{B\,x\,\left(m-5\right)}{b^6\,\left(m^2-9\,m+20\right)}\right)}{x^5+\frac{a^5}{b^5}+\frac{5\,a\,x^4}{b}+\frac{5\,a^4\,x}{b^4}+\frac{10\,a^2\,x^3}{b^2}+\frac{10\,a^3\,x^2}{b^3}}","Not used",1,"-((a*c + b*c*x)^m*((4*A*b + B*a - A*b*m)/(b^7*(m^2 - 9*m + 20)) - (B*x*(m - 5))/(b^6*(m^2 - 9*m + 20))))/(x^5 + a^5/b^5 + (5*a*x^4)/b + (5*a^4*x)/b^4 + (10*a^2*x^3)/b^2 + (10*a^3*x^2)/b^3)","B"
2165,1,254,112,2.304567,"\text{Not used}","int((a*c + b*c*x)^m*(A + B*x)*(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","{\left(a\,c+b\,c\,x\right)}^m\,\left(\frac{a^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(5\,A\,b-B\,a+A\,b\,m\right)}{b^2\,\left(m^2+9\,m+20\right)}+\frac{3\,a\,x^2\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(5\,A\,b+3\,B\,a+A\,b\,m+B\,a\,m\right)}{m^2+9\,m+20}+\frac{b\,x^3\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(5\,A\,b+11\,B\,a+A\,b\,m+3\,B\,a\,m\right)}{m^2+9\,m+20}+\frac{a^2\,x\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}\,\left(15\,A\,b+B\,a+3\,A\,b\,m+B\,a\,m\right)}{b\,\left(m^2+9\,m+20\right)}+\frac{B\,b^2\,x^4\,\left(m+4\right)\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{m^2+9\,m+20}\right)","Not used",1,"(a*c + b*c*x)^m*((a^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(5*A*b - B*a + A*b*m))/(b^2*(9*m + m^2 + 20)) + (3*a*x^2*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(5*A*b + 3*B*a + A*b*m + B*a*m))/(9*m + m^2 + 20) + (b*x^3*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(5*A*b + 11*B*a + A*b*m + 3*B*a*m))/(9*m + m^2 + 20) + (a^2*x*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2)*(15*A*b + B*a + 3*A*b*m + B*a*m))/(b*(9*m + m^2 + 20)) + (B*b^2*x^4*(m + 4)*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/(9*m + m^2 + 20))","B"
2166,1,105,112,2.302848,"\text{Not used}","int(((a*c + b*c*x)^m*(A + B*x))/(a^2 + b^2*x^2 + 2*a*b*x)^(3/2),x)","-\frac{{\left(a\,c+b\,c\,x\right)}^m\,\left(\frac{A\,b+B\,a-A\,b\,m}{b^3\,\left(m^2-3\,m+2\right)}-\frac{B\,x\,\left(m-2\right)}{b^2\,\left(m^2-3\,m+2\right)}\right)}{x\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}+\frac{a\,\sqrt{a^2+2\,a\,b\,x+b^2\,x^2}}{b}}","Not used",1,"-((a*c + b*c*x)^m*((A*b + B*a - A*b*m)/(b^3*(m^2 - 3*m + 2)) - (B*x*(m - 2))/(b^2*(m^2 - 3*m + 2))))/(x*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2) + (a*(a^2 + b^2*x^2 + 2*a*b*x)^(1/2))/b)","B"
2167,1,178,100,2.213759,"\text{Not used}","int((f + g*x)*(a*c + b*c*x)^m*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{g\,x^2\,{\left(a\,c+b\,c\,x\right)}^m\,\left(m+2\,p+1\right)}{m^2+4\,m\,p+3\,m+4\,p^2+6\,p+2}+\frac{a\,{\left(a\,c+b\,c\,x\right)}^m\,\left(2\,b\,f-a\,g+b\,f\,m+2\,b\,f\,p\right)}{b^2\,\left(m^2+4\,m\,p+3\,m+4\,p^2+6\,p+2\right)}+\frac{x\,{\left(a\,c+b\,c\,x\right)}^m\,\left(2\,b\,f+a\,g\,m+b\,f\,m+2\,a\,g\,p+2\,b\,f\,p\right)}{b\,\left(m^2+4\,m\,p+3\,m+4\,p^2+6\,p+2\right)}\right)","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^p*((g*x^2*(a*c + b*c*x)^m*(m + 2*p + 1))/(3*m + 6*p + 4*m*p + m^2 + 4*p^2 + 2) + (a*(a*c + b*c*x)^m*(2*b*f - a*g + b*f*m + 2*b*f*p))/(b^2*(3*m + 6*p + 4*m*p + m^2 + 4*p^2 + 2)) + (x*(a*c + b*c*x)^m*(2*b*f + a*g*m + b*f*m + 2*a*g*p + 2*b*f*p))/(b*(3*m + 6*p + 4*m*p + m^2 + 4*p^2 + 2)))","B"
2168,1,106,61,2.135166,"\text{Not used}","int(((f + g*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p)/(a*c + b*c*x)^(2*p + 3),x)","-\left(\frac{g\,a^2+b\,f\,a}{2\,b^2\,{\left(a\,c+b\,c\,x\right)}^{2\,p+3}}+\frac{g\,x^2}{{\left(a\,c+b\,c\,x\right)}^{2\,p+3}}+\frac{x\,\left(f\,b^2+3\,a\,g\,b\right)}{2\,b^2\,{\left(a\,c+b\,c\,x\right)}^{2\,p+3}}\right)\,{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p","Not used",1,"-((a^2*g + a*b*f)/(2*b^2*(a*c + b*c*x)^(2*p + 3)) + (g*x^2)/(a*c + b*c*x)^(2*p + 3) + (x*(b^2*f + 3*a*b*g))/(2*b^2*(a*c + b*c*x)^(2*p + 3)))*(a^2 + b^2*x^2 + 2*a*b*x)^p","B"
2169,1,90,45,2.123323,"\text{Not used}","int((a*c + b*c*x)^m*(a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^p,x)","{\left(a^2+2\,a\,b\,x+b^2\,x^2\right)}^p\,\left(\frac{2\,a\,x\,{\left(a\,c+b\,c\,x\right)}^m}{m+2\,p+2}+\frac{b\,x^2\,{\left(a\,c+b\,c\,x\right)}^m}{m+2\,p+2}+\frac{a^2\,{\left(a\,c+b\,c\,x\right)}^m}{b\,\left(m+2\,p+2\right)}\right)","Not used",1,"(a^2 + b^2*x^2 + 2*a*b*x)^p*((2*a*x*(a*c + b*c*x)^m)/(m + 2*p + 2) + (b*x^2*(a*c + b*c*x)^m)/(m + 2*p + 2) + (a^2*(a*c + b*c*x)^m)/(b*(m + 2*p + 2)))","B"
2170,1,139,24,2.182910,"\text{Not used}","int((a*c + b*c*x)^m*(a + b*x)*(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","{\left(a\,c+b\,c\,x\right)}^m\,\left(\frac{a^8}{b\,\left(m+8\right)}+\frac{b^7\,x^8}{m+8}+\frac{8\,a^7\,x}{m+8}+\frac{28\,a^6\,b\,x^2}{m+8}+\frac{8\,a\,b^6\,x^7}{m+8}+\frac{56\,a^5\,b^2\,x^3}{m+8}+\frac{70\,a^4\,b^3\,x^4}{m+8}+\frac{56\,a^3\,b^4\,x^5}{m+8}+\frac{28\,a^2\,b^5\,x^6}{m+8}\right)","Not used",1,"(a*c + b*c*x)^m*(a^8/(b*(m + 8)) + (b^7*x^8)/(m + 8) + (8*a^7*x)/(m + 8) + (28*a^6*b*x^2)/(m + 8) + (8*a*b^6*x^7)/(m + 8) + (56*a^5*b^2*x^3)/(m + 8) + (70*a^4*b^3*x^4)/(m + 8) + (56*a^3*b^4*x^5)/(m + 8) + (28*a^2*b^5*x^6)/(m + 8))","B"
2171,1,61,27,2.178093,"\text{Not used}","int(((a*c + b*c*x)^m*(a + b*x))/(a^2 + b^2*x^2 + 2*a*b*x)^3,x)","\frac{{\left(a\,c+b\,c\,x\right)}^m}{b^5\,\left(m-4\right)\,\left(x^4+\frac{a^4}{b^4}+\frac{4\,a\,x^3}{b}+\frac{4\,a^3\,x}{b^3}+\frac{6\,a^2\,x^2}{b^2}\right)}","Not used",1,"(a*c + b*c*x)^m/(b^5*(m - 4)*(x^4 + a^4/b^4 + (4*a*x^3)/b + (4*a^3*x)/b^3 + (6*a^2*x^2)/b^2))","B"
2172,1,3311,414,8.141946,"\text{Not used}","int((f + g*x)*(d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","d^3\,f\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+\frac{3\,d\,f\,\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c}-\frac{7\,b\,e^3\,f\,\left(\frac{5\,b\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e^2}-\frac{x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e^2}\right)}{10\,c}+\frac{3\,b\,e^3\,g\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e^2}-\frac{x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e^2}\right)}{10\,c}+\frac{\left(2\,c\,d^2-2\,b\,d\,e\right)\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{5\,c\,e^2}+\frac{x^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{5\,c\,e^2}\right)}{4\,c}-\frac{d^3\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}-\frac{3\,d\,g\,\left(2\,c\,d^2-2\,b\,d\,e\right)\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{5\,c}-\frac{e\,f\,\left(2\,c\,d^2-2\,b\,d\,e\right)\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{5\,c}-\frac{3\,d\,f\,x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c}-\frac{d^3\,g\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}+\frac{e\,g\,\left(3\,c\,d^2-3\,b\,d\,e\right)\,\left(\frac{5\,b\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e^2}-\frac{x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e^2}\right)}{6\,c}-\frac{3\,d\,g\,x^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{5\,c}-\frac{e\,f\,x^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{5\,c}-\frac{e\,g\,x^3\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{6\,c}+\frac{15\,b\,d\,e^2\,f\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{15\,b\,d^2\,e\,g\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}-\frac{3\,d^2\,e\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}+\frac{d^2\,f\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{8\,c^2\,e^3}+\frac{d^3\,g\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}+\frac{3\,d^2\,g\,\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e}-\frac{21\,b\,d\,e^2\,g\,\left(\frac{5\,b\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e^2}-\frac{x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e^2}\right)}{10\,c}-\frac{3\,d^2\,g\,x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e}","Not used",1,"d^3*f*(x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + (3*d*f*(c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c) - (7*b*e^3*f*((5*b*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + ((c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e^2) - (x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e^2)))/(10*c) + (3*b*e^3*g*((7*b*((5*b*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + ((c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e^2) - (x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e^2)))/(10*c) + ((2*c*d^2 - 2*b*d*e)*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(5*c*e^2) + (x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(5*c*e^2)))/(4*c) - (d^3*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2)) - (3*d*g*(2*c*d^2 - 2*b*d*e)*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(5*c) - (e*f*(2*c*d^2 - 2*b*d*e)*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(5*c) - (3*d*f*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c) - (d^3*g*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) + (e*g*(3*c*d^2 - 3*b*d*e)*((5*b*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + ((c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e^2) - (x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e^2)))/(6*c) - (3*d*g*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(5*c) - (e*f*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(5*c) - (e*g*x^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(6*c) + (15*b*d*e^2*f*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + (15*b*d^2*e*g*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) - (3*d^2*e*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) + (d^2*f*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(8*c^2*e^3) + (d^3*g*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4) + (3*d^2*g*(c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e) - (21*b*d*e^2*g*((5*b*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + ((c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e^2) - (x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e^2)))/(10*c) - (3*d^2*g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e)","B"
2173,1,1732,339,5.553248,"\text{Not used}","int((f + g*x)*(d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","d^2\,f\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{f\,x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c}-\frac{g\,x^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{5\,c}+\frac{f\,\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c}-\frac{g\,\left(2\,c\,d^2-2\,b\,d\,e\right)\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{5\,c}-\frac{7\,b\,e^2\,g\,\left(\frac{5\,b\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e^2}-\frac{x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e^2}\right)}{10\,c}-\frac{d^2\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}+\frac{5\,b\,e^2\,f\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}-\frac{d^2\,g\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}+\frac{d^2\,g\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}-\frac{d\,g\,x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{2\,c\,e}+\frac{5\,b\,d\,e\,g\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{4\,c}-\frac{d\,e\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{8\,{\left(-c\,e^2\right)}^{5/2}}+\frac{d\,f\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{12\,c^2\,e^3}+\frac{d\,g\,\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{2\,c\,e}","Not used",1,"d^2*f*(x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (f*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c) - (g*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(5*c) + (f*(c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c) - (g*(2*c*d^2 - 2*b*d*e)*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(5*c) - (7*b*e^2*g*((5*b*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) + ((c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e^2) - (x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e^2)))/(10*c) - (d^2*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2)) + (5*b*e^2*f*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) - (d^2*g*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) + (d^2*g*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4) - (d*g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(2*c*e) + (5*b*d*e*g*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(4*c) - (d*e*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(8*(-c*e^2)^(5/2)) + (d*f*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(12*c^2*e^3) + (d*g*(c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(2*c*e)","B"
2174,1,801,223,4.159474,"\text{Not used}","int((f + g*x)*(d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","d\,f\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+\frac{5\,b\,e\,g\,\left(\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}\right)}{8\,c}-\frac{d\,g\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}-\frac{e\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(b^3\,e^6+4\,b\,c\,e^4\,\left(c\,d^2-b\,d\,e\right)\right)}{16\,{\left(-c\,e^2\right)}^{5/2}}+\frac{f\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^3}+\frac{g\,\left(c\,d^2-b\,d\,e\right)\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-\frac{\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}\right)}{4\,c\,e}-\frac{d\,f\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)}{2\,{\left(-c\,e^2\right)}^{3/2}}-\frac{g\,x\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{4\,c\,e}+\frac{d\,g\,\left(8\,c\,e^2\,\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2\right)-3\,b^2\,e^4+2\,b\,c\,e^4\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{24\,c^2\,e^4}","Not used",1,"d*f*(x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + (5*b*e*g*((log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - ((8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)))/(8*c) - (d*g*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) - (e*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*(b^3*e^6 + 4*b*c*e^4*(c*d^2 - b*d*e)))/(16*(-c*e^2)^(5/2)) + (f*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^3) + (g*(c*d^2 - b*d*e)*((x/2 + b/(4*c))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2))))/(4*c*e) - (d*f*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x)*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e)))/(2*(-c*e^2)^(3/2)) - (g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(4*c*e) + (d*g*(8*c*e^2*(c*e^2*x^2 - c*d^2 + b*d*e) - 3*b^2*e^4 + 2*b*c*e^4*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(24*c^2*e^4)","B"
2175,0,-1,192,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x), x)","F"
2176,0,-1,200,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2,x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2, x)","F"
2177,0,-1,168,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3,x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3, x)","F"
2178,1,1022,137,4.289275,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4,x)","\frac{\left(\frac{20\,g\,b^2\,c\,e^2-64\,g\,b\,c^2\,d\,e+12\,f\,b\,c^2\,e^2+48\,g\,c^3\,d^2-16\,f\,c^3\,d\,e}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{d\,\left(\frac{4\,c^2\,\left(7\,b\,e\,g-12\,c\,d\,g+2\,c\,e\,f\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^3\,d\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{2\,f\,\left(b\,e-c\,d\right)}{5\,b\,e^2-10\,c\,d\,e}-\frac{d\,\left(\frac{2\,b\,e\,g-2\,c\,d\,g+2\,c\,e\,f}{5\,b\,e^2-10\,c\,d\,e}-\frac{2\,c\,d\,g}{5\,b\,e^2-10\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,e\,f-8\,c^2\,d\,g+6\,b\,c\,e\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{2\,b\,\left(b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{8\,c^2\,\left(6\,b\,e\,g-11\,c\,d\,g+c\,e\,f\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^3\,d\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(5\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{4\,c\,\left(4\,b\,e\,g-7\,c\,d\,g+c\,e\,f\right)}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,\left(b\,e-c\,d\right)\,\left(3\,b\,e\,g-6\,c\,d\,g+c\,e\,f\right)}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-24\,c^3\,d\,g+16\,b\,c^2\,e\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^3\,d\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-64\,c^3\,d\,g+36\,b\,c^2\,e\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^3\,d\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,b\,c\,\left(4\,b\,e\,g-8\,c\,d\,g+c\,e\,f\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((48*c^3*d^2*g - 16*c^3*d*e*f + 12*b*c^2*e^2*f + 20*b^2*c*e^2*g - 64*b*c^2*d*e*g)/(15*e^2*(b*e - 2*c*d)^3) - (d*((4*c^2*(7*b*e*g - 12*c*d*g + 2*c*e*f))/(15*e*(b*e - 2*c*d)^3) - (8*c^3*d*g)/(15*e*(b*e - 2*c*d)^3)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2*f*(b*e - c*d))/(5*b*e^2 - 10*c*d*e) - (d*((2*b*e*g - 2*c*d*g + 2*c*e*f)/(5*b*e^2 - 10*c*d*e) - (2*c*d*g)/(5*b*e^2 - 10*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((4*c^2*e*f - 8*c^2*d*g + 6*b*c*e*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d))))/e - (2*b*(b*e*g - 2*c*d*g + c*e*f))/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((8*c^2*(6*b*e*g - 11*c*d*g + c*e*f))/(15*e*(b*e - 2*c*d)^3) - (8*c^3*d*g)/(15*e*(b*e - 2*c*d)^3)))/e - (8*c*(b*e - c*d)*(5*b*e*g - 10*c*d*g + c*e*f))/(15*e^2*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((4*c*(4*b*e*g - 7*c*d*g + c*e*f))/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(3*b*e*g - 6*c*d*g + c*e*f))/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((8*c^3*e*f - 24*c^3*d*g + 16*b*c^2*e*g)/(15*e*(b*e - 2*c*d)^3) - (8*c^3*d*g)/(15*e*(b*e - 2*c*d)^3)))/e - (2*b*c*(3*b*e*g - 6*c*d*g + 2*c*e*f))/(15*e*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((8*c^3*e*f - 64*c^3*d*g + 36*b*c^2*e*g)/(15*e*(b*e - 2*c*d)^3) - (8*c^3*d*g)/(15*e*(b*e - 2*c*d)^3)))/e - (4*b*c*(4*b*e*g - 8*c*d*g + c*e*f))/(15*e*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2179,1,2325,210,6.890802,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5,x)","\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-144\,c^4\,d\,g+80\,b\,c^3\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{4\,b\,c^2\,\left(9\,b\,e\,g-18\,c\,d\,g+2\,c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-64\,c^4\,d\,g+40\,b\,c^3\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^2\,\left(2\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-176\,c^4\,d\,g+96\,b\,c^3\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{4\,b\,c^2\,\left(11\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-256\,c^4\,d\,g+136\,b\,c^3\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^2\,\left(8\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,e\,f-8\,c^2\,d\,g+6\,b\,c\,e\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{2\,b\,\left(b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{2\,f\,\left(b\,e-c\,d\right)}{7\,b\,e^2-14\,c\,d\,e}-\frac{d\,\left(\frac{2\,b\,e\,g-2\,c\,d\,g+2\,c\,e\,f}{7\,b\,e^2-14\,c\,d\,e}-\frac{2\,c\,d\,g}{7\,b\,e^2-14\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,\left(9\,b\,e\,g-16\,c\,d\,g+2\,c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{28\,g\,b^2\,c\,e^2-92\,g\,b\,c^2\,d\,e+16\,f\,b\,c^2\,e^2+72\,g\,c^3\,d^2-24\,f\,c^3\,d\,e}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{8\,c^2\,\left(8\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(7\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{4\,c\,\left(5\,b\,e\,g-9\,c\,d\,g+c\,e\,f\right)}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,\left(b\,e-c\,d\right)\,\left(4\,b\,e\,g-8\,c\,d\,g+c\,e\,f\right)}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{52\,g\,b^2\,c^2\,e^2-168\,g\,b\,c^3\,d\,e+24\,f\,b\,c^3\,e^2+128\,g\,c^4\,d^2-32\,f\,c^4\,d\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{d\,\left(\frac{16\,c^3\,\left(4\,b\,e\,g-7\,c\,d\,g+c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{136\,g\,b^2\,c^2\,e^2-448\,g\,b\,c^3\,d\,e+24\,f\,b\,c^3\,e^2+352\,g\,c^4\,d^2-32\,f\,c^4\,d\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{d\,\left(\frac{8\,c^3\,\left(15\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{16\,c^3\,\left(10\,b\,e\,g-19\,c\,d\,g+c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(9\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-24\,c^3\,d\,g+16\,b\,c^2\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-80\,c^3\,d\,g+44\,b\,c^2\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,b\,c\,\left(5\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,\left(13\,b\,e\,g-24\,c\,d\,g+2\,c\,e\,f\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{88\,g\,b^2\,c^2\,e^2-248\,g\,b\,c^3\,d\,e+144\,g\,c^4\,d^2+16\,f\,c^4\,d\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((d*((16*c^4*e*f - 144*c^4*d*g + 80*b*c^3*e*g)/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (4*b*c^2*(9*b*e*g - 18*c*d*g + 2*c*e*f))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16*c^4*e*f - 64*c^4*d*g + 40*b*c^3*e*g)/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (8*b*c^2*(2*b*e*g - 4*c*d*g + c*e*f))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((16*c^4*e*f - 176*c^4*d*g + 96*b*c^3*e*g)/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (4*b*c^2*(11*b*e*g - 22*c*d*g + 2*c*e*f))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16*c^4*e*f - 256*c^4*d*g + 136*b*c^3*e*g)/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (8*b*c^2*(8*b*e*g - 16*c*d*g + c*e*f))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4*c^2*e*f - 8*c^2*d*g + 6*b*c*e*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d))))/e - (2*b*(b*e*g - 2*c*d*g + c*e*f))/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((2*f*(b*e - c*d))/(7*b*e^2 - 14*c*d*e) - (d*((2*b*e*g - 2*c*d*g + 2*c*e*f)/(7*b*e^2 - 14*c*d*e) - (2*c*d*g)/(7*b*e^2 - 14*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((4*c^2*(9*b*e*g - 16*c*d*g + 2*c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (72*c^3*d^2*g - 24*c^3*d*e*f + 16*b*c^2*e^2*f + 28*b^2*c*e^2*g - 92*b*c^2*d*e*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((8*c^2*(8*b*e*g - 15*c*d*g + c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(7*b*e*g - 14*c*d*g + c*e*f))/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((4*c*(5*b*e*g - 9*c*d*g + c*e*f))/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(4*b*e*g - 8*c*d*g + c*e*f))/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((128*c^4*d^2*g + 52*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 168*b*c^3*d*e*g)/(105*e^2*(b*e - 2*c*d)^4) - (d*((16*c^3*(4*b*e*g - 7*c*d*g + c*e*f))/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((352*c^4*d^2*g + 136*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 448*b*c^3*d*e*g)/(105*e^2*(b*e - 2*c*d)^4) - (d*((8*c^3*(15*b*e*g - 28*c*d*g + 2*c*e*f))/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((16*c^3*(10*b*e*g - 19*c*d*g + c*e*f))/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (16*c^2*(b*e - c*d)*(9*b*e*g - 18*c*d*g + c*e*f))/(105*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8*c^3*e*f - 24*c^3*d*g + 16*b*c^2*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (2*b*c*(3*b*e*g - 6*c*d*g + 2*c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((8*c^3*e*f - 80*c^3*d*g + 44*b*c^2*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*b*c*(5*b*e*g - 10*c*d*g + c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((8*c^3*(13*b*e*g - 24*c*d*g + 2*c*e*f))/(105*e*(b*e - 2*c*d)^4) - (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^4)))/e - (144*c^4*d^2*g + 88*b^2*c^2*e^2*g + 16*c^4*d*e*f - 248*b*c^3*d*e*g)/(105*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2180,1,4962,285,13.954829,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6,x)","\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-160\,c^5\,d\,g+96\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{8\,b\,c^3\,\left(5\,b\,e\,g-10\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-320\,c^5\,d\,g+176\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^3\,\left(5\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-384\,c^5\,d\,g+208\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^3\,\left(6\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-448\,c^5\,d\,g+240\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^3\,\left(7\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-544\,c^5\,d\,g+288\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{8\,b\,c^3\,\left(17\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-608\,c^5\,d\,g+320\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{8\,b\,c^3\,\left(19\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-672\,c^5\,d\,g+352\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{8\,b\,c^3\,\left(21\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-832\,c^5\,d\,g+432\,b\,c^4\,e\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^3\,\left(13\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,e\,f-8\,c^2\,d\,g+6\,b\,c\,e\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{2\,b\,\left(b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{2\,f\,\left(b\,e-c\,d\right)}{9\,b\,e^2-18\,c\,d\,e}-\frac{d\,\left(\frac{2\,b\,e\,g-2\,c\,d\,g+2\,c\,e\,f}{9\,b\,e^2-18\,c\,d\,e}-\frac{2\,c\,d\,g}{9\,b\,e^2-18\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,\left(11\,b\,e\,g-20\,c\,d\,g+2\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{36\,g\,b^2\,c\,e^2-120\,g\,b\,c^2\,d\,e+20\,f\,b\,c^2\,e^2+96\,g\,c^3\,d^2-32\,f\,c^3\,d\,e}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{8\,c^2\,\left(10\,b\,e\,g-19\,c\,d\,g+c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(9\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-64\,c^4\,d\,g+40\,b\,c^3\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,b\,c^2\,\left(2\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-176\,c^4\,d\,g+96\,b\,c^3\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,b\,c^2\,\left(11\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-208\,c^4\,d\,g+112\,b\,c^3\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,b\,c^2\,\left(13\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-320\,c^4\,d\,g+168\,b\,c^3\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,b\,c^2\,\left(10\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{4\,c\,\left(6\,b\,e\,g-11\,c\,d\,g+c\,e\,f\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,\left(b\,e-c\,d\right)\,\left(5\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{16\,c^3\,\left(5\,b\,e\,g-9\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{72\,g\,b^2\,c^2\,e^2-240\,g\,b\,c^3\,d\,e+32\,f\,b\,c^3\,e^2+192\,g\,c^4\,d^2-48\,f\,c^4\,d\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,\left(17\,b\,e\,g-32\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{120\,g\,b^2\,c^2\,e^2-312\,g\,b\,c^3\,d\,e-32\,f\,b\,c^3\,e^2+144\,g\,c^4\,d^2+80\,f\,c^4\,d\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,\left(19\,b\,e\,g-36\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{216\,g\,b^2\,c^2\,e^2-744\,g\,b\,c^3\,d\,e+32\,f\,b\,c^3\,e^2+624\,g\,c^4\,d^2-48\,f\,c^4\,d\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{16\,c^3\,\left(13\,b\,e\,g-25\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(12\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{128\,g\,b^2\,c^3\,e^2-416\,g\,b\,c^4\,d\,e+48\,f\,b\,c^4\,e^2+320\,g\,c^5\,d^2-64\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^4\,\left(9\,b\,e\,g-16\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{296\,g\,b^2\,c^3\,e^2-976\,g\,b\,c^4\,d\,e+48\,f\,b\,c^4\,e^2+768\,g\,c^5\,d^2-64\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^4\,\left(8\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{304\,g\,b^2\,c^3\,e^2-1008\,g\,b\,c^4\,d\,e+128\,f\,b\,c^4\,e^2+800\,g\,c^5\,d^2-224\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^4\,\left(21\,b\,e\,g-40\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{344\,g\,b^2\,c^3\,e^2-1136\,g\,b\,c^4\,d\,e+48\,f\,b\,c^4\,e^2+896\,g\,c^5\,d^2-64\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^4\,\left(9\,b\,e\,g-17\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{512\,g\,b^2\,c^3\,e^2-1696\,g\,b\,c^4\,d\,e+48\,f\,b\,c^4\,e^2+1344\,g\,c^5\,d^2-64\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^4\,\left(25\,b\,e\,g-48\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(15\,b\,e\,g-29\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(14\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-24\,c^3\,d\,g+16\,b\,c^2\,e\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-96\,c^3\,d\,g+52\,b\,c^2\,e\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,b\,c\,\left(6\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(23\,b\,e\,g-44\,c\,d\,g+2\,c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{-176\,g\,b^2\,c^3\,e^2+336\,g\,b\,c^4\,d\,e+32\,g\,c^5\,d^2-32\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(7\,b\,e\,g-13\,c\,d\,g+c\,e\,f\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^5\,d\,g}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{176\,g\,b^2\,c^3\,e^2-480\,g\,b\,c^4\,d\,e+256\,g\,c^5\,d^2+32\,f\,c^5\,d\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((d*((32*c^5*e*f - 160*c^5*d*g + 96*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (8*b*c^3*(5*b*e*g - 10*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*e*f - 320*c^5*d*g + 176*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (16*b*c^3*(5*b*e*g - 10*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*e*f - 384*c^5*d*g + 208*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (16*b*c^3*(6*b*e*g - 12*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*e*f - 448*c^5*d*g + 240*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (16*b*c^3*(7*b*e*g - 14*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32*c^5*e*f - 544*c^5*d*g + 288*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (8*b*c^3*(17*b*e*g - 34*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32*c^5*e*f - 608*c^5*d*g + 320*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (8*b*c^3*(19*b*e*g - 38*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32*c^5*e*f - 672*c^5*d*g + 352*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (8*b*c^3*(21*b*e*g - 42*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*e*f - 832*c^5*d*g + 432*b*c^4*e*g)/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (16*b*c^3*(13*b*e*g - 26*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4*c^2*e*f - 8*c^2*d*g + 6*b*c*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (2*b*(b*e*g - 2*c*d*g + c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((2*f*(b*e - c*d))/(9*b*e^2 - 18*c*d*e) - (d*((2*b*e*g - 2*c*d*g + 2*c*e*f)/(9*b*e^2 - 18*c*d*e) - (2*c*d*g)/(9*b*e^2 - 18*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((4*c^2*(11*b*e*g - 20*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (96*c^3*d^2*g - 32*c^3*d*e*f + 20*b*c^2*e^2*f + 36*b^2*c*e^2*g - 120*b*c^2*d*e*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((8*c^2*(10*b*e*g - 19*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(9*b*e*g - 18*c*d*g + c*e*f))/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*e*f - 64*c^4*d*g + 40*b*c^3*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(2*b*e*g - 4*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^4*e*f - 176*c^4*d*g + 96*b*c^3*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(11*b*e*g - 22*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^4*e*f - 208*c^4*d*g + 112*b*c^3*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(13*b*e*g - 26*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16*c^4*e*f - 320*c^4*d*g + 168*b*c^3*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(10*b*e*g - 20*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((4*c*(6*b*e*g - 11*c*d*g + c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(5*b*e*g - 10*c*d*g + c*e*f))/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((16*c^3*(5*b*e*g - 9*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (192*c^4*d^2*g + 72*b^2*c^2*e^2*g - 48*c^4*d*e*f + 32*b*c^3*e^2*f - 240*b*c^3*d*e*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((8*c^3*(17*b*e*g - 32*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (144*c^4*d^2*g + 120*b^2*c^2*e^2*g + 80*c^4*d*e*f - 32*b*c^3*e^2*f - 312*b*c^3*d*e*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((8*c^3*(19*b*e*g - 36*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (624*c^4*d^2*g + 216*b^2*c^2*e^2*g - 48*c^4*d*e*f + 32*b*c^3*e^2*f - 744*b*c^3*d*e*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^3*(13*b*e*g - 25*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(12*b*e*g - 24*c*d*g + c*e*f))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((320*c^5*d^2*g + 128*b^2*c^3*e^2*g - 64*c^5*d*e*f + 48*b*c^4*e^2*f - 416*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^4*(9*b*e*g - 16*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((768*c^5*d^2*g + 296*b^2*c^3*e^2*g - 64*c^5*d*e*f + 48*b*c^4*e^2*f - 976*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((32*c^4*(8*b*e*g - 15*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((800*c^5*d^2*g + 304*b^2*c^3*e^2*g - 224*c^5*d*e*f + 128*b*c^4*e^2*f - 1008*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^4*(21*b*e*g - 40*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((896*c^5*d^2*g + 344*b^2*c^3*e^2*g - 64*c^5*d*e*f + 48*b*c^4*e^2*f - 1136*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((32*c^4*(9*b*e*g - 17*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1344*c^5*d^2*g + 512*b^2*c^3*e^2*g - 64*c^5*d*e*f + 48*b*c^4*e^2*f - 1696*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^4*(25*b*e*g - 48*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32*c^4*(15*b*e*g - 29*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (32*c^3*(b*e - c*d)*(14*b*e*g - 28*c*d*g + c*e*f))/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8*c^3*e*f - 24*c^3*d*g + 16*b*c^2*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (2*b*c*(3*b*e*g - 6*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((8*c^3*e*f - 96*c^3*d*g + 52*b*c^2*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*b*c*(6*b*e*g - 12*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*(23*b*e*g - 44*c*d*g + 2*c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e + (32*c^5*d^2*g - 176*b^2*c^3*e^2*g - 32*c^5*d*e*f + 336*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32*c^4*(7*b*e*g - 13*c*d*g + c*e*f))/(945*e*(b*e - 2*c*d)^5) - (32*c^5*d*g)/(945*e*(b*e - 2*c*d)^5)))/e - (256*c^5*d^2*g + 176*b^2*c^3*e^2*g + 32*c^5*d*e*f - 480*b*c^4*d*e*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2181,1,10084,360,28.093023,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^7,x)","\frac{\left(\frac{d\,\left(\frac{8\,c^2\,\left(12\,b\,e\,g-23\,c\,d\,g+c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(11\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1152\,c^6\,d\,g+608\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(9\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1280\,c^6\,d\,g+672\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(10\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{2\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1408\,c^6\,d\,g+736\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(11\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1536\,c^6\,d\,g+800\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(12\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1664\,c^6\,d\,g+864\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(13\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-2432\,c^6\,d\,g+1248\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(19\,b\,e\,g-38\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,e\,f-8\,c^2\,d\,g+6\,b\,c\,e\,g}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{2\,b\,\left(b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{2\,f\,\left(b\,e-c\,d\right)}{11\,b\,e^2-22\,c\,d\,e}-\frac{d\,\left(\frac{2\,b\,e\,g-2\,c\,d\,g+2\,c\,e\,f}{11\,b\,e^2-22\,c\,d\,e}-\frac{2\,c\,d\,g}{11\,b\,e^2-22\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^6}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,\left(13\,b\,e\,g-24\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{44\,g\,b^2\,c\,e^2-148\,g\,b\,c^2\,d\,e+24\,f\,b\,c^2\,e^2+120\,g\,c^3\,d^2-40\,f\,c^3\,d\,e}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-384\,c^6\,d\,g+224\,b\,c^5\,e\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,b\,c^4\,\left(3\,b\,e\,g-6\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-64\,c^4\,d\,g+40\,b\,c^3\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,b\,c^2\,\left(2\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-208\,c^4\,d\,g+112\,b\,c^3\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\fr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g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{208\,g\,b^2\,c^3\,e^2-480\,g\,b\,c^4\,d\,e-64\,f\,b\,c^4\,e^2+128\,g\,c^5\,d^2+160\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(11\,b\,e\,g-20\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{176\,g\,b^2\,c^3\,e^2-592\,g\,b\,c^4\,d\,e+64\,f\,b\,c^4\,e^2+480\,g\,c^5\,d^2-96\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(29\,b\,e\,g-56\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{144\,g\,b^2\,c^3\,e^2-1104\,g\,b\,c^4\,d\,e+64\,f\,b\,c^4\,e^2+1632\,g\,c^5\,d^2-160\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(10\,b\,e\,g-19\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{464\,g\,b^2\,c^3\,e^2-1600\,g\,b\,c^4\,d\,e+64\,f\,b\,c^4\,e^2+1344\,g\,c^5\,d^2-96\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(11\,b\,e\,g-21\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{528\,g\,b^2\,c^3\,e^2-1824\,g\,b\,c^4\,d\,e+64\,f\,b\,c^4\,e^2+1536\,g\,c^5\,d^2-96\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(27\,b\,e\,g-52\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{400\,g\,b^2\,c^3\,e^2-1584\,g\,b\,c^4\,d\,e+416\,f\,b\,c^4\,e^2+1568\,g\,c^5\,d^2-800\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(31\,b\,e\,g-60\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{816\,g\,b^2\,c^3\,e^2-2832\,g\,b\,c^4\,d\,e+64\,f\,b\,c^4\,e^2+2400\,g\,c^5\,d^2-96\,f\,c^5\,d\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{16\,c^3\,\left(16\,b\,e\,g-31\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(15\,b\,e\,g-30\,c\,d\,g+c\,e\,f\right)}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(19\,b\,e\,g-37\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(18\,b\,e\,g-36\,c\,d\,g+c\,e\,f\right)}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{304\,g\,b^2\,c^4\,e^2-992\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+768\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^5\,\left(5\,b\,e\,g-9\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{640\,g\,b^2\,c^4\,e^2-2112\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+1664\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(17\,b\,e\,g-32\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{736\,g\,b^2\,c^4\,e^2-2432\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+1920\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(19\,b\,e\,g-36\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{928\,g\,b^2\,c^4\,e^2-2016\,g\,b\,c^5\,d\,e-704\,f\,b\,c^5\,e^2+320\,g\,c^6\,d^2+1472\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(31\,b\,e\,g-60\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{832\,g\,b^2\,c^4\,e^2-2752\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+2176\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(21\,b\,e\,g-40\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{736\,g\,b^2\,c^4\,e^2-2496\,g\,b\,c^5\,d\,e+256\,f\,b\,c^5\,e^2+2048\,g\,c^6\,d^2-448\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^5\,\left(11\,b\,e\,g-21\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{1072\,g\,b^2\,c^4\,e^2-3552\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+2816\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^5\,\left(13\,b\,e\,g-25\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{1168\,g\,b^2\,c^4\,e^2-3872\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+3072\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^5\,\left(14\,b\,e\,g-27\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{1264\,g\,b^2\,c^4\,e^2-4192\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+3328\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^5\,\left(15\,b\,e\,g-29\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{1600\,g\,b^2\,c^4\,e^2-5312\,g\,b\,c^5\,d\,e+96\,f\,b\,c^5\,e^2+4224\,g\,c^6\,d^2-128\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(37\,b\,e\,g-72\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2144\,g\,b^2\,c^4\,e^2-7776\,g\,b\,c^5\,d\,e+256\,f\,b\,c^5\,e^2+6976\,g\,c^6\,d^2-448\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^5\,\left(33\,b\,e\,g-64\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(21\,b\,e\,g-41\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{64\,c^4\,\left(b\,e-c\,d\right)\,\left(20\,b\,e\,g-40\,c\,d\,g+c\,e\,f\right)}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-24\,c^3\,d\,g+16\,b\,c^2\,e\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-112\,c^3\,d\,g+60\,b\,c^2\,e\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,b\,c\,\left(7\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(12\,b\,e\,g-23\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{-352\,g\,b^2\,c^4\,e^2+640\,g\,b\,c^5\,d\,e+128\,g\,c^6\,d^2-64\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(13\,b\,e\,g-25\,c\,d\,g+c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{-352\,g\,b^2\,c^4\,e^2+576\,g\,b\,c^5\,d\,e+256\,g\,c^6\,d^2-64\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(35\,b\,e\,g-68\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{-352\,g\,b^2\,c^4\,e^2+288\,g\,b\,c^5\,d\,e+832\,g\,c^6\,d^2-64\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(15\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^6\,d\,g}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{352\,g\,b^2\,c^4\,e^2-928\,g\,b\,c^5\,d\,e+448\,g\,c^6\,d^2+64\,f\,c^6\,d\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((d*((8*c^2*(12*b*e*g - 23*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(11*b*e*g - 22*c*d*g + c*e*f))/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((64*c^6*e*f - 1152*c^6*d*g + 608*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(9*b*e*g - 18*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*e*f - 1280*c^6*d*g + 672*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(10*b*e*g - 20*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (2*((d*((64*c^6*e*f - 1408*c^6*d*g + 736*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(11*b*e*g - 22*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*e*f - 1536*c^6*d*g + 800*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(12*b*e*g - 24*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*e*f - 1664*c^6*d*g + 864*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(13*b*e*g - 26*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*e*f - 2432*c^6*d*g + 1248*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(19*b*e*g - 38*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4*c^2*e*f - 8*c^2*d*g + 6*b*c*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (2*b*(b*e*g - 2*c*d*g + c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((2*f*(b*e - c*d))/(11*b*e^2 - 22*c*d*e) - (d*((2*b*e*g - 2*c*d*g + 2*c*e*f)/(11*b*e^2 - 22*c*d*e) - (2*c*d*g)/(11*b*e^2 - 22*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((4*c^2*(13*b*e*g - 24*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (120*c^3*d^2*g - 40*c^3*d*e*f + 24*b*c^2*e^2*f + 44*b^2*c*e^2*g - 148*b*c^2*d*e*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((64*c^6*e*f - 384*c^6*d*g + 224*b*c^5*e*g)/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (32*b*c^4*(3*b*e*g - 6*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16*c^4*e*f - 64*c^4*d*g + 40*b*c^3*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(2*b*e*g - 4*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((16*c^4*e*f - 208*c^4*d*g + 112*b*c^3*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(13*b*e*g - 26*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((16*c^4*e*f - 240*c^4*d*g + 128*b*c^3*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(15*b*e*g - 30*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*e*f - 384*c^4*d*g + 200*b*c^3*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(12*b*e*g - 24*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^5*e*f - 160*c^5*d*g + 96*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(5*b*e*g - 10*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*e*f - 384*c^5*d*g + 208*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(6*b*e*g - 12*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*e*f - 448*c^5*d*g + 240*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(7*b*e*g - 14*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*e*f - 512*c^5*d*g + 272*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(8*b*e*g - 16*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((32*c^5*e*f - 672*c^5*d*g + 352*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(21*b*e*g - 42*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((32*c^5*e*f - 736*c^5*d*g + 384*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(23*b*e*g - 46*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((32*c^5*e*f - 800*c^5*d*g + 416*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(25*b*e*g - 50*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*e*f - 1024*c^5*d*g + 528*b*c^4*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(16*b*e*g - 32*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(6*b*e*g - 11*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(11*b*e*g - 22*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(7*b*e*g - 13*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(13*b*e*g - 26*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(8*b*e*g - 15*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(15*b*e*g - 30*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(9*b*e*g - 17*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(17*b*e*g - 34*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(14*b*e*g - 27*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(27*b*e*g - 54*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(15*b*e*g - 29*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(29*b*e*g - 58*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(16*b*e*g - 31*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(31*b*e*g - 62*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(17*b*e*g - 33*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (16*b*c^4*(33*b*e*g - 66*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((4*c*(7*b*e*g - 13*c*d*g + c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(6*b*e*g - 12*c*d*g + c*e*f))/(11*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((16*c^3*(6*b*e*g - 11*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (256*c^4*d^2*g + 92*b^2*c^2*e^2*g - 64*c^4*d*e*f + 40*b*c^3*e^2*f - 312*b*c^3*d*e*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((8*c^3*(21*b*e*g - 40*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (112*c^4*d^2*g + 152*b^2*c^2*e^2*g + 176*c^4*d*e*f - 80*b*c^3*e^2*f - 360*b*c^3*d*e*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((8*c^3*(23*b*e*g - 44*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (960*c^4*d^2*g + 312*b^2*c^2*e^2*g - 64*c^4*d*e*f + 40*b*c^3*e^2*f - 1104*b*c^3*d*e*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^4*(9*b*e*g - 17*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (128*c^5*d^2*g + 208*b^2*c^3*e^2*g + 160*c^5*d*e*f - 64*b*c^4*e^2*f - 480*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16*c^4*(11*b*e*g - 20*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (480*c^5*d^2*g + 176*b^2*c^3*e^2*g - 96*c^5*d*e*f + 64*b*c^4*e^2*f - 592*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16*c^4*(29*b*e*g - 56*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (1632*c^5*d^2*g + 144*b^2*c^3*e^2*g - 160*c^5*d*e*f + 64*b*c^4*e^2*f - 1104*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((32*c^4*(10*b*e*g - 19*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1344*c^5*d^2*g + 464*b^2*c^3*e^2*g - 96*c^5*d*e*f + 64*b*c^4*e^2*f - 1600*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((32*c^4*(11*b*e*g - 21*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1536*c^5*d^2*g + 528*b^2*c^3*e^2*g - 96*c^5*d*e*f + 64*b*c^4*e^2*f - 1824*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16*c^4*(27*b*e*g - 52*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1568*c^5*d^2*g + 400*b^2*c^3*e^2*g - 800*c^5*d*e*f + 416*b*c^4*e^2*f - 1584*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16*c^4*(31*b*e*g - 60*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2400*c^5*d^2*g + 816*b^2*c^3*e^2*g - 96*c^5*d*e*f + 64*b*c^4*e^2*f - 2832*b*c^4*d*e*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^3*(16*b*e*g - 31*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(15*b*e*g - 30*c*d*g + c*e*f))/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^4*(19*b*e*g - 37*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^3*(b*e - c*d)*(18*b*e*g - 36*c*d*g + c*e*f))/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((768*c^6*d^2*g + 304*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 992*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^5*(5*b*e*g - 9*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1664*c^6*d^2*g + 640*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 2112*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(17*b*e*g - 32*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1920*c^6*d^2*g + 736*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 2432*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(19*b*e*g - 36*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((320*c^6*d^2*g + 928*b^2*c^4*e^2*g + 1472*c^6*d*e*f - 704*b*c^5*e^2*f - 2016*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(31*b*e*g - 60*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2176*c^6*d^2*g + 832*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 2752*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(21*b*e*g - 40*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2048*c^6*d^2*g + 736*b^2*c^4*e^2*g - 448*c^6*d*e*f + 256*b*c^5*e^2*f - 2496*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^5*(11*b*e*g - 21*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2816*c^6*d^2*g + 1072*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 3552*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^5*(13*b*e*g - 25*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((3072*c^6*d^2*g + 1168*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 3872*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^5*(14*b*e*g - 27*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((3328*c^6*d^2*g + 1264*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 4192*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^5*(15*b*e*g - 29*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((4224*c^6*d^2*g + 1600*b^2*c^4*e^2*g - 128*c^6*d*e*f + 96*b*c^5*e^2*f - 5312*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(37*b*e*g - 72*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((6976*c^6*d^2*g + 2144*b^2*c^4*e^2*g - 448*c^6*d*e*f + 256*b*c^5*e^2*f - 7776*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^5*(33*b*e*g - 64*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(21*b*e*g - 41*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (64*c^4*(b*e - c*d)*(20*b*e*g - 40*c*d*g + c*e*f))/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8*c^3*e*f - 24*c^3*d*g + 16*b*c^2*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (2*b*c*(3*b*e*g - 6*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((8*c^3*e*f - 112*c^3*d*g + 60*b*c^2*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*b*c*(7*b*e*g - 14*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((64*c^5*(12*b*e*g - 23*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (128*c^6*d^2*g - 352*b^2*c^4*e^2*g - 64*c^6*d*e*f + 640*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((64*c^5*(13*b*e*g - 25*c*d*g + c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (256*c^6*d^2*g - 352*b^2*c^4*e^2*g - 64*c^6*d*e*f + 576*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*(35*b*e*g - 68*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (832*c^6*d^2*g - 352*b^2*c^4*e^2*g - 64*c^6*d*e*f + 288*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((32*c^5*(15*b*e*g - 28*c*d*g + 2*c*e*f))/(10395*e*(b*e - 2*c*d)^6) - (64*c^6*d*g)/(10395*e*(b*e - 2*c*d)^6)))/e - (448*c^6*d^2*g + 352*b^2*c^4*e^2*g + 64*c^6*d*e*f - 928*b*c^5*d*e*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2182,1,19572,439,55.429831,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^8,x)","\frac{\left(\frac{d\,\left(\frac{8\,c^2\,\left(14\,b\,e\,g-27\,c\,d\,g+c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(13\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{143\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{2\,f\,\left(b\,e-c\,d\right)}{13\,b\,e^2-26\,c\,d\,e}-\frac{d\,\left(\frac{2\,b\,e\,g-2\,c\,d\,g+2\,c\,e\,f}{13\,b\,e^2-26\,c\,d\,e}-\frac{2\,c\,d\,g}{13\,b\,e^2-26\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^7}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,\left(15\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{52\,g\,b^2\,c\,e^2-176\,g\,b\,c^2\,d\,e+28\,f\,b\,c^2\,e^2+144\,g\,c^3\,d^2-48\,f\,c^3\,d\,e}{143\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{4\,c^2\,e\,f-8\,c^2\,d\,g+6\,b\,c\,e\,g}{13\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{13\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{2\,b\,\left(b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{13\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^6}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-64\,c^4\,d\,g+40\,b\,c^3\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,b\,c^2\,\left(2\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-240\,c^4\,d\,g+128\,b\,c^3\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,b\,c^2\,\left(15\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-272\,c^4\,d\,g+144\,b\,c^3\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,b\,c^2\,\left(17\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,e\,f-448\,c^4\,d\,g+232\,b\,c^3\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,b\,c^2\,\left(14\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-160\,c^5\,d\,g+96\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^3\,\left(5\,b\,e\,g-10\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-448\,c^5\,d\,g+240\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,b\,c^3\,\left(7\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-512\,c^5\,d\,g+272\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,b\,c^3\,\left(8\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-576\,c^5\,d\,g+304\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,b\,c^3\,\left(9\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-800\,c^5\,d\,g+416\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^3\,\left(25\,b\,e\,g-50\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-864\,c^5\,d\,g+448\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^3\,\left(27\,b\,e\,g-54\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-928\,c^5\,d\,g+480\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,b\,c^3\,\left(29\,b\,e\,g-58\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,e\,f-1216\,c^5\,d\,g+624\,b\,c^4\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,b\,c^3\,\left(19\,b\,e\,g-38\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-384\,c^6\,d\,g+224\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,b\,c^4\,\left(3\,b\,e\,g-6\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1408\,c^6\,d\,g+736\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,b\,c^4\,\left(11\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1536\,c^6\,d\,g+800\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,b\,c^4\,\left(12\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{2\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1664\,c^6\,d\,g+864\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,b\,c^4\,\left(13\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1792\,c^6\,d\,g+928\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,b\,c^4\,\left(14\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,e\,f-1920\,c^6\,d\,g+992\,b\,c^5\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\le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ac{64\,b\,c^5\,\left(26\,b\,e\,g-52\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(24\,b\,e\,g-47\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{32\,b\,c^5\,\left(47\,b\,e\,g-94\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{4\,c\,\left(8\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{13\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^2\,d\,g}{13\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,\left(b\,e-c\,d\right)\,\left(7\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{13\,e\,\left(11\,b\,e^2-22\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^6}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(7\,b\,e\,g-13\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(13\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(8\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(15\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(9\,b\,e\,g-17\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(17\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(10\,b\,e\,g-19\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(19\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(17\,b\,e\,g-33\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(33\,b\,e\,g-66\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(18\,b\,e\,g-35\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(35\,b\,e\,g-70\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(19\,b\,e\,g-37\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(37\,b\,e\,g-74\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(20\,b\,e\,g-39\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,b\,c^4\,\left(39\,b\,e\,g-78\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{16\,c^3\,\left(7\,b\,e\,g-13\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{112\,g\,b^2\,c^2\,e^2-384\,g\,b\,c^3\,d\,e+48\,f\,b\,c^3\,e^2+320\,g\,c^4\,d^2-80\,f\,c^4\,d\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,\left(25\,b\,e\,g-48\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{184\,g\,b^2\,c^2\,e^2-392\,g\,b\,c^3\,d\,e-144\,f\,b\,c^3\,e^2+48\,g\,c^4\,d^2+304\,f\,c^4\,d\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,\left(27\,b\,e\,g-52\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^4\,d\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{424\,g\,b^2\,c^2\,e^2-1528\,g\,b\,c^3\,d\,e+48\,f\,b\,c^3\,e^2+1360\,g\,c^4\,d^2-80\,f\,c^4\,d\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(11\,b\,e\,g-21\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{-224\,g\,b^2\,c^3\,e^2+384\,g\,b\,c^4\,d\,e+160\,f\,b\,c^4\,e^2+128\,g\,c^5\,d^2-352\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(13\,b\,e\,g-24\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{224\,g\,b^2\,c^3\,e^2-768\,g\,b\,c^4\,d\,e+80\,f\,b\,c^4\,e^2+640\,g\,c^5\,d^2-128\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(12\,b\,e\,g-23\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{664\,g\,b^2\,c^3\,e^2-2352\,g\,b\,c^4\,d\,e+80\,f\,b\,c^4\,e^2+2048\,g\,c^5\,d^2-128\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{32\,c^4\,\left(13\,b\,e\,g-25\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{744\,g\,b^2\,c^3\,e^2-2640\,g\,b\,c^4\,d\,e+80\,f\,b\,c^4\,e^2+2304\,g\,c^5\,d^2-128\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(33\,b\,e\,g-64\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{496\,g\,b^2\,c^3\,e^2-2448\,g\,b\,c^4\,d\,e+992\,f\,b\,c^4\,e^2+2912\,g\,c^5\,d^2-1952\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(37\,b\,e\,g-72\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{1184\,g\,b^2\,c^3\,e^2-4224\,g\,b\,c^4\,d\,e+80\,f\,b\,c^4\,e^2+3712\,g\,c^5\,d^2-128\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{16\,c^4\,\left(35\,b\,e\,g-68\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^5\,d\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{816\,g\,b^2\,c^3\,e^2-3984\,g\,b\,c^4\,d\,e+160\,f\,b\,c^4\,e^2+4704\,g\,c^5\,d^2-352\,f\,c^5\,d\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(19\,b\,e\,g-36\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{-352\,g\,b^2\,c^4\,e^2+672\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+64\,g\,c^6\,d^2-320\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(6\,b\,e\,g-11\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{416\,g\,b^2\,c^4\,e^2-1408\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+1152\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(15\,b\,e\,g-29\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{352\,g\,b^2\,c^4\,e^2-2496\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+3584\,g\,c^6\,d^2-320\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(21\,b\,e\,g-40\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{992\,g\,b^2\,c^4\,e^2-3424\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+2880\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(16\,b\,e\,g-31\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{480\,g\,b^2\,c^4\,e^2-3072\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+4224\,g\,c^6\,d^2-320\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(23\,b\,e\,g-44\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1120\,g\,b^2\,c^4\,e^2-3872\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+3264\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{32\,c^5\,\left(25\,b\,e\,g-48\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1248\,g\,b^2\,c^4\,e^2-4320\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+3648\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(16\,b\,e\,g-31\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1696\,g\,b^2\,c^4\,e^2-5888\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+4992\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(14\,b\,e\,g-27\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^6\,d\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1216\,g\,b^2\,c^4\,e^2-4800\,g\,b\,c^5\,d\,e+832\,f\,b\,c^5\,e^2+4736\,g\,c^6\,d^2-1600\,f\,c^6\,d\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{64\,c^5\,\left(17\,b\,e\,g-33\,c\,d\,g+c\,e\,f\right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ht)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{3488\,g\,b^2\,c^5\,e^2-11584\,g\,b\,c^6\,d\,e+192\,f\,b\,c^6\,e^2+9216\,g\,c^7\,d^2-256\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{128\,c^6\,\left(20\,b\,e\,g-39\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{3680\,g\,b^2\,c^5\,e^2-12224\,g\,b\,c^6\,d\,e+192\,f\,b\,c^6\,e^2+9728\,g\,c^7\,d^2-256\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{128\,c^6\,\left(21\,b\,e\,g-41\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{3872\,g\,b^2\,c^5\,e^2-12864\,g\,b\,c^6\,d\,e+192\,f\,b\,c^6\,e^2+10240\,g\,c^7\,d^2-256\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{128\,c^6\,\left(22\,b\,e\,g-43\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{4544\,g\,b^2\,c^5\,e^2-15104\,g\,b\,c^6\,d\,e+192\,f\,b\,c^6\,e^2+12032\,g\,c^7\,d^2-256\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{64\,c^6\,\left(51\,b\,e\,g-100\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{4544\,g\,b^2\,c^5\,e^2-16512\,g\,b\,c^6\,d\,e+512\,f\,b\,c^6\,e^2+14848\,g\,c^7\,d^2-896\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{128\,c^6\,\left(17\,b\,e\,g-33\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{5056\,g\,b^2\,c^5\,e^2-18432\,g\,b\,c^6\,d\,e+512\,f\,b\,c^6\,e^2+16640\,g\,c^7\,d^2-896\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{128\,c^6\,\left(18\,b\,e\,g-35\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2624\,g\,b^2\,c^5\,e^2-15552\,g\,b\,c^6\,d\,e+7808\,f\,b\,c^6\,e^2+20608\,g\,c^7\,d^2-15488\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{64\,c^6\,\left(43\,b\,e\,g-84\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{7872\,g\,b^2\,c^5\,e^2-28992\,g\,b\,c^6\,d\,e+512\,f\,b\,c^6\,e^2+26496\,g\,c^7\,d^2-896\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{d\,\left(\frac{64\,c^6\,\left(47\,b\,e\,g-92\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{8000\,g\,b^2\,c^5\,e^2-36288\,g\,b\,c^6\,d\,e+1408\,f\,b\,c^6\,e^2+40576\,g\,c^7\,d^2-2944\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}+\frac{d\,\left(\frac{64\,c^6\,\left(45\,b\,e\,g-88\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(28\,b\,e\,g-55\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{128\,c^5\,\left(b\,e-c\,d\right)\,\left(27\,b\,e\,g-54\,c\,d\,g+c\,e\,f\right)}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-24\,c^3\,d\,g+16\,b\,c^2\,e\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,e\,f-128\,c^3\,d\,g+68\,b\,c^2\,e\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^3\,d\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,b\,c\,\left(8\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,\left(25\,b\,e\,g-48\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+1216\,g\,b\,c^6\,d\,e+384\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,\left(27\,b\,e\,g-52\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+1088\,g\,b\,c^6\,d\,e+640\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,\left(29\,b\,e\,g-56\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+960\,g\,b\,c^6\,d\,e+896\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(18\,b\,e\,g-35\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+512\,g\,b\,c^6\,d\,e+1792\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(19\,b\,e\,g-37\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+384\,g\,b\,c^6\,d\,e+2048\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(8\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{704\,g\,b^2\,c^5\,e^2-1792\,g\,b\,c^6\,d\,e+768\,g\,c^7\,d^2+128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{128\,c^6\,\left(20\,b\,e\,g-39\,c\,d\,g+c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-704\,g\,b^2\,c^5\,e^2+256\,g\,b\,c^6\,d\,e+2304\,g\,c^7\,d^2-128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{64\,c^6\,\left(49\,b\,e\,g-96\,c\,d\,g+2\,c\,e\,f\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^7\,d\,g}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{704\,g\,b^2\,c^5\,e^2+320\,g\,b\,c^6\,d\,e-3456\,g\,c^7\,d^2+128\,f\,c^7\,d\,e}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((d*((8*c^2*(14*b*e*g - 27*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(13*b*e*g - 26*c*d*g + c*e*f))/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((2*f*(b*e - c*d))/(13*b*e^2 - 26*c*d*e) - (d*((2*b*e*g - 2*c*d*g + 2*c*e*f)/(13*b*e^2 - 26*c*d*e) - (2*c*d*g)/(13*b*e^2 - 26*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^7 - (((d*((4*c^2*(15*b*e*g - 28*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (144*c^3*d^2*g - 48*c^3*d*e*f + 28*b*c^2*e^2*f + 52*b^2*c*e^2*g - 176*b*c^2*d*e*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((4*c^2*e*f - 8*c^2*d*g + 6*b*c*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (2*b*(b*e*g - 2*c*d*g + c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((16*c^4*e*f - 64*c^4*d*g + 40*b*c^3*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(2*b*e*g - 4*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((16*c^4*e*f - 240*c^4*d*g + 128*b*c^3*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(15*b*e*g - 30*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((16*c^4*e*f - 272*c^4*d*g + 144*b*c^3*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*b*c^2*(17*b*e*g - 34*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((16*c^4*e*f - 448*c^4*d*g + 232*b*c^3*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*b*c^2*(14*b*e*g - 28*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((32*c^5*e*f - 160*c^5*d*g + 96*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(5*b*e*g - 10*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((32*c^5*e*f - 448*c^5*d*g + 240*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(7*b*e*g - 14*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((32*c^5*e*f - 512*c^5*d*g + 272*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(8*b*e*g - 16*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((32*c^5*e*f - 576*c^5*d*g + 304*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(9*b*e*g - 18*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^5*e*f - 800*c^5*d*g + 416*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(25*b*e*g - 50*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^5*e*f - 864*c^5*d*g + 448*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(27*b*e*g - 54*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^5*e*f - 928*c^5*d*g + 480*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*b*c^3*(29*b*e*g - 58*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((32*c^5*e*f - 1216*c^5*d*g + 624*b*c^4*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*b*c^3*(19*b*e*g - 38*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((64*c^6*e*f - 384*c^6*d*g + 224*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(3*b*e*g - 6*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*e*f - 1408*c^6*d*g + 736*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(11*b*e*g - 22*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*e*f - 1536*c^6*d*g + 800*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(12*b*e*g - 24*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (2*((d*((64*c^6*e*f - 1664*c^6*d*g + 864*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(13*b*e*g - 26*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*e*f - 1792*c^6*d*g + 928*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(14*b*e*g - 28*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*e*f - 1920*c^6*d*g + 992*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(15*b*e*g - 30*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*e*f - 2944*c^6*d*g + 1504*b*c^5*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*b*c^4*(23*b*e*g - 46*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((64*c^6*(13*b*e*g - 24*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(6*b*e*g - 12*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(15*b*e*g - 28*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(7*b*e*g - 14*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(4*b*e*g - 7*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(7*b*e*g - 14*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(17*b*e*g - 32*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(8*b*e*g - 16*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(19*b*e*g - 36*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(9*b*e*g - 18*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(21*b*e*g - 40*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(10*b*e*g - 20*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(10*b*e*g - 19*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(19*b*e*g - 38*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(29*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(14*b*e*g - 28*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(11*b*e*g - 21*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(21*b*e*g - 42*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(31*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(15*b*e*g - 30*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (2*((d*((128*c^6*(12*b*e*g - 23*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(23*b*e*g - 46*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (2*((d*((64*c^6*(33*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(16*b*e*g - 32*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (2*((d*((128*c^6*(13*b*e*g - 25*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(25*b*e*g - 50*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (2*((d*((128*c^6*(14*b*e*g - 27*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(27*b*e*g - 54*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (2*((d*((64*c^6*(35*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(17*b*e*g - 34*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(15*b*e*g - 29*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(29*b*e*g - 58*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (2*((d*((64*c^6*(37*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(18*b*e*g - 36*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(16*b*e*g - 31*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(31*b*e*g - 62*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(39*b*e*g - 76*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(19*b*e*g - 38*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(41*b*e*g - 80*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(20*b*e*g - 40*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(20*b*e*g - 39*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(39*b*e*g - 78*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(21*b*e*g - 41*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(41*b*e*g - 82*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(22*b*e*g - 43*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(43*b*e*g - 86*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(23*b*e*g - 45*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(45*b*e*g - 90*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(53*b*e*g - 104*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (64*b*c^5*(26*b*e*g - 52*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(24*b*e*g - 47*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (32*b*c^5*(47*b*e*g - 94*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((4*c*(8*b*e*g - 15*c*d*g + c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^2*d*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(7*b*e*g - 14*c*d*g + c*e*f))/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 + (((d*((64*c^5*(7*b*e*g - 13*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(13*b*e*g - 26*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(8*b*e*g - 15*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(15*b*e*g - 30*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(9*b*e*g - 17*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(17*b*e*g - 34*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(10*b*e*g - 19*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(19*b*e*g - 38*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(17*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(33*b*e*g - 66*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(18*b*e*g - 35*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(35*b*e*g - 70*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(19*b*e*g - 37*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(37*b*e*g - 74*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(20*b*e*g - 39*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*b*c^4*(39*b*e*g - 78*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^3*(7*b*e*g - 13*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (320*c^4*d^2*g + 112*b^2*c^2*e^2*g - 80*c^4*d*e*f + 48*b*c^3*e^2*f - 384*b*c^3*d*e*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((8*c^3*(25*b*e*g - 48*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (48*c^4*d^2*g + 184*b^2*c^2*e^2*g + 304*c^4*d*e*f - 144*b*c^3*e^2*f - 392*b*c^3*d*e*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((8*c^3*(27*b*e*g - 52*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (1360*c^4*d^2*g + 424*b^2*c^2*e^2*g - 80*c^4*d*e*f + 48*b*c^3*e^2*f - 1528*b*c^3*d*e*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((32*c^4*(11*b*e*g - 21*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (128*c^5*d^2*g - 224*b^2*c^3*e^2*g - 352*c^5*d*e*f + 160*b*c^4*e^2*f + 384*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*(13*b*e*g - 24*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (640*c^5*d^2*g + 224*b^2*c^3*e^2*g - 128*c^5*d*e*f + 80*b*c^4*e^2*f - 768*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^4*(12*b*e*g - 23*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2048*c^5*d^2*g + 664*b^2*c^3*e^2*g - 128*c^5*d*e*f + 80*b*c^4*e^2*f - 2352*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((32*c^4*(13*b*e*g - 25*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2304*c^5*d^2*g + 744*b^2*c^3*e^2*g - 128*c^5*d*e*f + 80*b*c^4*e^2*f - 2640*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*(33*b*e*g - 64*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2912*c^5*d^2*g + 496*b^2*c^3*e^2*g - 1952*c^5*d*e*f + 992*b*c^4*e^2*f - 2448*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*(37*b*e*g - 72*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (3712*c^5*d^2*g + 1184*b^2*c^3*e^2*g - 128*c^5*d*e*f + 80*b*c^4*e^2*f - 4224*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((16*c^4*(35*b*e*g - 68*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4704*c^5*d^2*g + 816*b^2*c^3*e^2*g - 352*c^5*d*e*f + 160*b*c^4*e^2*f - 3984*b*c^4*d*e*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((32*c^5*(19*b*e*g - 36*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (64*c^6*d^2*g - 352*b^2*c^4*e^2*g - 320*c^6*d*e*f + 128*b*c^5*e^2*f + 672*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(6*b*e*g - 11*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (1152*c^6*d^2*g + 416*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 1408*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(15*b*e*g - 29*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (3584*c^6*d^2*g + 352*b^2*c^4*e^2*g - 320*c^6*d*e*f + 128*b*c^5*e^2*f - 2496*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(21*b*e*g - 40*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (2880*c^6*d^2*g + 992*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 3424*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(16*b*e*g - 31*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (4224*c^6*d^2*g + 480*b^2*c^4*e^2*g - 320*c^6*d*e*f + 128*b*c^5*e^2*f - 3072*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(23*b*e*g - 44*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (3264*c^6*d^2*g + 1120*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 3872*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(25*b*e*g - 48*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (3648*c^6*d^2*g + 1248*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 4320*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(16*b*e*g - 31*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (4992*c^6*d^2*g + 1696*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 5888*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(14*b*e*g - 27*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (4736*c^6*d^2*g + 1216*b^2*c^4*e^2*g - 1600*c^6*d*e*f + 832*b*c^5*e^2*f - 4800*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(17*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (5376*c^6*d^2*g + 1824*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 6336*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((64*c^5*(18*b*e*g - 35*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (5760*c^6*d^2*g + 1952*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 6784*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(43*b*e*g - 84*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (7744*c^6*d^2*g + 1184*b^2*c^4*e^2*g - 320*c^6*d*e*f + 128*b*c^5*e^2*f - 6240*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(39*b*e*g - 76*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (1184*b^2*c^4*e^2*g - 5312*c^6*d^2*g + 7616*c^6*d*e*f - 3776*b*c^5*e^2*f + 288*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(45*b*e*g - 88*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (7488*c^6*d^2*g + 2528*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 8800*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((32*c^5*(41*b*e*g - 80*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (25536*c^6*d^2*g + 6624*b^2*c^4*e^2*g - 1600*c^6*d*e*f + 832*b*c^5*e^2*f - 26016*b*c^5*d*e*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((16*c^3*(19*b*e*g - 37*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^4*d*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(18*b*e*g - 36*c*d*g + c*e*f))/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((32*c^4*(23*b*e*g - 45*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^5*d*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^3*(b*e - c*d)*(22*b*e*g - 44*c*d*g + c*e*f))/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((64*c^5*(26*b*e*g - 51*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^6*d*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^4*(b*e - c*d)*(25*b*e*g - 50*c*d*g + c*e*f))/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((1792*c^7*d^2*g + 704*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 2304*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(11*b*e*g - 20*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2304*c^7*d^2*g - 1152*b^2*c^5*e^2*g - 2944*c^7*d*e*f + 1408*b*c^6*e^2*f + 1152*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((128*c^6*(16*b*e*g - 31*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((3584*c^7*d^2*g + 1376*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 4544*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(9*b*e*g - 17*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4096*c^7*d^2*g + 1568*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 5184*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(10*b*e*g - 19*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4608*c^7*d^2*g + 1760*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 5824*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(11*b*e*g - 21*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((5120*c^7*d^2*g + 1952*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 6464*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(12*b*e*g - 23*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((4992*c^7*d^2*g + 1728*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 5952*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(23*b*e*g - 44*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((5888*c^7*d^2*g + 2240*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 7424*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(27*b*e*g - 52*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((6400*c^7*d^2*g + 2432*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 8064*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(29*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (2*((6912*c^7*d^2*g + 2624*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 8704*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(31*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((7424*c^7*d^2*g + 2816*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 9344*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(33*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((7936*c^7*d^2*g + 3008*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 9984*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(35*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((8704*c^7*d^2*g + 3296*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 10944*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(19*b*e*g - 37*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((9216*c^7*d^2*g + 3488*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 11584*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(20*b*e*g - 39*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((9728*c^7*d^2*g + 3680*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 12224*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(21*b*e*g - 41*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((10240*c^7*d^2*g + 3872*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 12864*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(22*b*e*g - 43*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((12032*c^7*d^2*g + 4544*b^2*c^5*e^2*g - 256*c^7*d*e*f + 192*b*c^6*e^2*f - 15104*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(51*b*e*g - 100*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((14848*c^7*d^2*g + 4544*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 16512*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(17*b*e*g - 33*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((16640*c^7*d^2*g + 5056*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 18432*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^6*(18*b*e*g - 35*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((20608*c^7*d^2*g + 2624*b^2*c^5*e^2*g - 15488*c^7*d*e*f + 7808*b*c^6*e^2*f - 15552*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(43*b*e*g - 84*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((26496*c^7*d^2*g + 7872*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 28992*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^6*(47*b*e*g - 92*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((40576*c^7*d^2*g + 8000*b^2*c^5*e^2*g - 2944*c^7*d*e*f + 1408*b*c^6*e^2*f - 36288*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((64*c^6*(45*b*e*g - 88*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(28*b*e*g - 55*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (128*c^5*(b*e - c*d)*(27*b*e*g - 54*c*d*g + c*e*f))/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8*c^3*e*f - 24*c^3*d*g + 16*b*c^2*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (2*b*c*(3*b*e*g - 6*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((8*c^3*e*f - 128*c^3*d*g + 68*b*c^2*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^3*d*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*b*c*(8*b*e*g - 16*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((64*c^6*(25*b*e*g - 48*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (384*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 1216*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(27*b*e*g - 52*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (640*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 1088*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(29*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (896*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 960*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(18*b*e*g - 35*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (1792*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 512*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(19*b*e*g - 37*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (2048*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 384*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(8*b*e*g - 15*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (768*c^7*d^2*g + 704*b^2*c^5*e^2*g + 128*c^7*d*e*f - 1792*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((128*c^6*(20*b*e*g - 39*c*d*g + c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (2304*c^7*d^2*g - 704*b^2*c^5*e^2*g - 128*c^7*d*e*f + 256*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((64*c^6*(49*b*e*g - 96*c*d*g + 2*c*e*f))/(135135*e*(b*e - 2*c*d)^7) - (128*c^7*d*g)/(135135*e*(b*e - 2*c*d)^7)))/e - (704*b^2*c^5*e^2*g - 3456*c^7*d^2*g + 128*c^7*d*e*f + 320*b*c^6*d*e*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2183,0,-1,488,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2184,0,-1,413,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2185,0,-1,297,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \left(f+g\,x\right)\,\left(d+e\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2186,0,-1,266,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{d+e\,x} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x), x)","F"
2187,0,-1,278,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^2,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^2, x)","F"
2188,0,-1,271,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^3,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^3, x)","F"
2189,0,-1,276,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^4,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^4, x)","F"
2190,0,-1,214,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^5,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^5, x)","F"
2191,1,3763,138,9.502152,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^6,x)","\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,\left(6\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{196\,g\,b^2\,c^3\,e^2-688\,g\,b\,c^4\,d\,e+96\,f\,b\,c^4\,e^2+608\,g\,c^5\,d^2-160\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^2\,\left(19\,g\,b^2\,e^2-76\,g\,b\,c\,d\,e+11\,f\,b\,c\,e^2+76\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(7\,b\,e\,g-10\,c\,d\,g+2\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{76\,g\,b^2\,c^3\,e^2-248\,g\,b\,c^4\,d\,e+56\,f\,b\,c^4\,e^2+208\,g\,c^5\,d^2-80\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{2\,b\,c^2\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+12\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,\left(7\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{244\,g\,b^2\,c^3\,e^2-864\,g\,b\,c^4\,d\,e+112\,f\,b\,c^4\,e^2+768\,g\,c^5\,d^2-192\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^2\,\left(24\,g\,b^2\,e^2-96\,g\,b\,c\,d\,e+13\,f\,b\,c\,e^2+96\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(19\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{504\,g\,b^2\,c^3\,e^2-1864\,g\,b\,c^4\,d\,e+152\,f\,b\,c^4\,e^2+1728\,g\,c^5\,d^2-272\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^2\,\left(27\,g\,b^2\,e^2-108\,g\,b\,c\,d\,e+9\,f\,b\,c\,e^2+108\,g\,c^2\,d^2-17\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(9\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{216\,g\,b^2\,c^2\,e^3-792\,g\,b\,c^3\,d\,e^2+72\,f\,b\,c^3\,e^3+728\,g\,c^4\,d^2\,e-128\,f\,c^4\,d\,e^2}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(19\,g\,b^2\,e^2-76\,g\,b\,c\,d\,e+8\,f\,b\,c\,e^2+76\,g\,c^2\,d^2-15\,f\,c^2\,d\,e\right)}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(3\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{26\,g\,b^2\,c^2\,e^2-80\,g\,b\,c^3\,d\,e+24\,f\,b\,c^3\,e^2+64\,g\,c^4\,d^2-32\,f\,c^4\,d\,e}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{2\,b\,c\,\left(4\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e+5\,f\,b\,c\,e^2+16\,g\,c^2\,d^2-8\,f\,c^2\,d\,e\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(13\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{96\,g\,b^2\,c^2\,e^2-332\,g\,b\,c^3\,d\,e+52\,f\,b\,c^3\,e^2+288\,g\,c^4\,d^2-88\,f\,c^4\,d\,e}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{4\,b\,c\,\left(9\,g\,b^2\,e^2-36\,g\,b\,c\,d\,e+6\,f\,b\,c\,e^2+36\,g\,c^2\,d^2-11\,f\,c^2\,d\,e\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{88\,g\,b^3\,c^2\,e^3-456\,g\,b^2\,c^3\,d\,e^2+76\,f\,b^2\,c^3\,e^3+768\,g\,b\,c^4\,d^2\,e-224\,f\,b\,c^4\,d\,e^2-416\,g\,c^5\,d^3+160\,f\,c^5\,d^2\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,\left(5\,b\,e\,g-8\,c\,d\,g+c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{148\,g\,b^2\,c^3\,e^3-512\,g\,b\,c^4\,d\,e^2+80\,f\,b\,c^4\,e^3+448\,g\,c^5\,d^2\,e-128\,f\,c^5\,d\,e^2}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{224\,g\,b^3\,c^2\,e^3-1104\,g\,b^2\,c^3\,d\,e^2+88\,f\,b^2\,c^3\,e^3+1728\,g\,b\,c^4\,d^2\,e-232\,f\,b\,c^4\,d\,e^2-832\,g\,c^5\,d^3+128\,f\,c^5\,d^2\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(15\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{328\,g\,b^2\,c^3\,e^3-1192\,g\,b\,c^4\,d\,e^2+120\,f\,b\,c^4\,e^3+1088\,g\,c^5\,d^2\,e-208\,f\,c^5\,d\,e^2}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{312\,g\,b^3\,c^2\,e^3-1632\,g\,b^2\,c^3\,d\,e^2+160\,f\,b^2\,c^3\,e^3+2784\,g\,b\,c^4\,d^2\,e-504\,f\,b\,c^4\,d\,e^2-1536\,g\,c^5\,d^3+384\,f\,c^5\,d^2\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{400\,g\,b^2\,c^3\,e^3-1464\,g\,b\,c^4\,d\,e^2+136\,f\,b\,c^4\,e^3+1344\,g\,c^5\,d^2\,e-240\,f\,c^5\,d\,e^2}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^2\,e\,\left(6\,b\,e\,g-10\,c\,d\,g+c\,e\,f\right)}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,c\,\left(3\,b\,e-5\,c\,d\right)\,\left(3\,b\,e\,g-5\,c\,d\,g+2\,c\,e\,f\right)}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}+\frac{4\,\left(b\,e-c\,d\right)\,\left(4\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e+5\,f\,b\,c\,e^2+16\,g\,c^2\,d^2-9\,f\,c^2\,d\,e\right)}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{2\,g\,b^3\,e^2-8\,g\,b^2\,c\,d\,e+4\,f\,b^2\,c\,e^2+8\,g\,b\,c^2\,d^2-6\,f\,b\,c^2\,d\,e}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{8\,g\,b^2\,c\,e^2-22\,g\,b\,c^2\,d\,e+10\,f\,b\,c^2\,e^2+16\,g\,c^3\,d^2-12\,f\,c^3\,d\,e}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{2\,c^2\,e\,\left(5\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,\left(11\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^3\,\left(45\,g\,b^2\,e^2-169\,g\,b\,c\,d\,e+11\,f\,b\,c\,e^2+159\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(35\,g\,b^2\,e^2-140\,g\,b\,c\,d\,e+10\,f\,b\,c\,e^2+140\,g\,c^2\,d^2-19\,f\,c^2\,d\,e\right)}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^2}{7\,b\,e^2-14\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c\,e\,\left(2\,b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{7\,b\,e^2-14\,c\,d\,e}-\frac{2\,c^2\,d\,e\,g}{7\,b\,e^2-14\,c\,d\,e}\right)}{e}-\frac{2\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+2\,c\,e\,f\right)}{7\,b\,e^2-14\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(11\,b\,e\,g-18\,c\,d\,g+2\,c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{76\,g\,b^2\,c^2\,e^3-260\,g\,b\,c^3\,d\,e^2+44\,f\,b\,c^3\,e^3+224\,g\,c^4\,d^2\,e-72\,f\,c^4\,d\,e^2}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{40\,g\,b^3\,c\,e^3-208\,g\,b^2\,c^2\,d\,e^2+44\,f\,b^2\,c^2\,e^3+352\,g\,b\,c^3\,d^2\,e-132\,f\,b\,c^3\,d\,e^2-192\,g\,c^4\,d^3+96\,f\,c^4\,d^2\,e}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((d*((16*c^4*(6*b*e*g - 10*c*d*g + c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (608*c^5*d^2*g + 196*b^2*c^3*e^2*g - 160*c^5*d*e*f + 96*b*c^4*e^2*f - 688*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^4)))/e + (4*b*c^2*(19*b^2*e^2*g + 76*c^2*d^2*g + 11*b*c*e^2*f - 20*c^2*d*e*f - 76*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((8*c^4*(7*b*e*g - 10*c*d*g + 2*c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (208*c^5*d^2*g + 76*b^2*c^3*e^2*g - 80*c^5*d*e*f + 56*b*c^4*e^2*f - 248*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^4)))/e + (2*b*c^2*(13*b^2*e^2*g + 52*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 52*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((16*c^4*(7*b*e*g - 12*c*d*g + c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (768*c^5*d^2*g + 244*b^2*c^3*e^2*g - 192*c^5*d*e*f + 112*b*c^4*e^2*f - 864*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^4)))/e + (4*b*c^2*(24*b^2*e^2*g + 96*c^2*d^2*g + 13*b*c*e^2*f - 24*c^2*d*e*f - 96*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((8*c^4*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (1728*c^5*d^2*g + 504*b^2*c^3*e^2*g - 272*c^5*d*e*f + 152*b*c^4*e^2*f - 1864*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^4)))/e + (8*b*c^2*(27*b^2*e^2*g + 108*c^2*d^2*g + 9*b*c*e^2*f - 17*c^2*d*e*f - 108*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((8*c^3*e*(9*b*e*g - 16*c*d*g + c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (216*b^2*c^2*e^3*g + 72*b*c^3*e^3*f - 128*c^4*d*e^2*f + 728*c^4*d^2*e*g - 792*b*c^3*d*e^2*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e + (8*c*(b*e - c*d)*(19*b^2*e^2*g + 76*c^2*d^2*g + 8*b*c*e^2*f - 15*c^2*d*e*f - 76*b*c*d*e*g))/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((8*c^3*e*(3*b*e*g - 4*c*d*g + c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (64*c^4*d^2*g + 26*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 80*b*c^3*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e + (2*b*c*(4*b^2*e^2*g + 16*c^2*d^2*g + 5*b*c*e^2*f - 8*c^2*d*e*f - 16*b*c*d*e*g))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((4*c^3*e*(13*b*e*g - 22*c*d*g + 2*c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (288*c^4*d^2*g + 96*b^2*c^2*e^2*g - 88*c^4*d*e*f + 52*b*c^3*e^2*f - 332*b*c^3*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e + (4*b*c*(9*b^2*e^2*g + 36*c^2*d^2*g + 6*b*c*e^2*f - 11*c^2*d*e*f - 36*b*c*d*e*g))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((76*b^2*c^3*e^3*f - 416*c^5*d^3*g + 88*b^3*c^2*e^3*g + 160*c^5*d^2*e*f - 224*b*c^4*d*e^2*f + 768*b*c^4*d^2*e*g - 456*b^2*c^3*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4) + (d*((d*((16*c^4*(5*b*e*g - 8*c*d*g + c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (148*b^2*c^3*e^3*g + 80*b*c^4*e^3*f - 128*c^5*d*e^2*f + 448*c^5*d^2*e*g - 512*b*c^4*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((88*b^2*c^3*e^3*f - 832*c^5*d^3*g + 224*b^3*c^2*e^3*g + 128*c^5*d^2*e*f - 232*b*c^4*d*e^2*f + 1728*b*c^4*d^2*e*g - 1104*b^2*c^3*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4) + (d*((d*((8*c^4*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (328*b^2*c^3*e^3*g + 120*b*c^4*e^3*f - 208*c^5*d*e^2*f + 1088*c^5*d^2*e*g - 1192*b*c^4*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((160*b^2*c^3*e^3*f - 1536*c^5*d^3*g + 312*b^3*c^2*e^3*g + 384*c^5*d^2*e*f - 504*b*c^4*d*e^2*f + 2784*b*c^4*d^2*e*g - 1632*b^2*c^3*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4) + (d*((d*((8*c^4*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (400*b^2*c^3*e^3*g + 136*b*c^4*e^3*f - 240*c^5*d*e^2*f + 1344*c^5*d^2*e*g - 1464*b*c^4*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^4)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((4*c^2*e*(6*b*e*g - 10*c*d*g + c*e*f))/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d))))/e - (4*c*(3*b*e - 5*c*d)*(3*b*e*g - 5*c*d*g + 2*c*e*f))/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d))))/e + (4*(b*e - c*d)*(4*b^2*e^2*g + 16*c^2*d^2*g + 5*b*c*e^2*f - 9*c^2*d*e*f - 16*b*c*d*e*g))/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((2*b^3*e^2*g + 8*b*c^2*d^2*g + 4*b^2*c*e^2*f - 6*b*c^2*d*e*f - 8*b^2*c*d*e*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (d*((16*c^3*d^2*g - 12*c^3*d*e*f + 10*b*c^2*e^2*f + 8*b^2*c*e^2*g - 22*b*c^2*d*e*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (d*((2*c^2*e*(5*b*e*g - 6*c*d*g + 2*c*e*f))/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((16*c^4*(11*b*e*g - 20*c*d*g + c*e*f))/(105*(b*e - 2*c*d)^4) - (16*c^5*d*g)/(105*(b*e - 2*c*d)^4)))/e - (16*c^3*(45*b^2*e^2*g + 159*c^2*d^2*g + 11*b*c*e^2*f - 20*c^2*d*e*f - 169*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^4)))/e + (16*c^2*(b*e - c*d)*(35*b^2*e^2*g + 140*c^2*d^2*g + 10*b*c*e^2*f - 19*c^2*d*e*f - 140*b*c*d*e*g))/(105*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*f*(b*e - c*d)^2)/(7*b*e^2 - 14*c*d*e) + (d*((d*((2*c*e*(2*b*e*g - 2*c*d*g + c*e*f))/(7*b*e^2 - 14*c*d*e) - (2*c^2*d*e*g)/(7*b*e^2 - 14*c*d*e)))/e - (2*(b*e - c*d)*(b*e*g - c*d*g + 2*c*e*f))/(7*b*e^2 - 14*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((4*c^3*e*(11*b*e*g - 18*c*d*g + 2*c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e - (76*b^2*c^2*e^3*g + 44*b*c^3*e^3*f - 72*c^4*d*e^2*f + 224*c^4*d^2*e*g - 260*b*c^3*d*e^2*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2)))/e + (44*b^2*c^2*e^3*f - 192*c^4*d^3*g + 40*b^3*c*e^3*g + 96*c^4*d^2*e*f - 132*b*c^3*d*e^2*f + 352*b*c^3*d^2*e*g - 208*b^2*c^2*d*e^2*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2192,1,8039,210,19.833335,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^7,x)","\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(4\,b\,e\,g-6\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{208\,g\,b^2\,c^4\,e^2-704\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+608\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{4\,b\,c^3\,\left(19\,g\,b^2\,e^2-76\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+76\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(13\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{488\,g\,b^2\,c^4\,e^2-1744\,g\,b\,c^5\,d\,e+208\,f\,b\,c^5\,e^2+1568\,g\,c^6\,d^2-352\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{4\,b\,c^3\,\left(49\,g\,b^2\,e^2-196\,g\,b\,c\,d\,e+24\,f\,b\,c\,e^2+196\,g\,c^2\,d^2-44\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(15\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{600\,g\,b^2\,c^4\,e^2-2160\,g\,b\,c^5\,d\,e+240\,f\,b\,c^5\,e^2+1952\,g\,c^6\,d^2-416\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{4\,b\,c^3\,\left(61\,g\,b^2\,e^2-244\,g\,b\,c\,d\,e+28\,f\,b\,c\,e^2+244\,g\,c^2\,d^2-52\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{712\,g\,b^2\,c^4\,e^2-2576\,g\,b\,c^5\,d\,e+272\,f\,b\,c^5\,e^2+2336\,g\,c^6\,d^2-480\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{4\,b\,c^3\,\left(73\,g\,b^2\,e^2-292\,g\,b\,c\,d\,e+32\,f\,b\,c\,e^2+292\,g\,c^2\,d^2-60\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(10\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1160\,g\,b^2\,c^4\,e^2-4320\,g\,b\,c^5\,d\,e+320\,f\,b\,c^5\,e^2+4032\,g\,c^6\,d^2-576\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^3\,\left(63\,g\,b^2\,e^2-252\,g\,b\,c\,d\,e+19\,f\,b\,c\,e^2+252\,g\,c^2\,d^2-36\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(11\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1352\,g\,b^2\,c^4\,e^2-5056\,g\,b\,c^5\,d\,e+352\,f\,b\,c^5\,e^2+4736\,g\,c^6\,d^2-640\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^3\,\left(74\,g\,b^2\,e^2-296\,g\,b\,c\,d\,e+21\,f\,b\,c\,e^2+296\,g\,c^2\,d^2-40\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(12\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1608\,g\,b^2\,c^4\,e^2-6048\,g\,b\,c^5\,d\,e+384\,f\,b\,c^5\,e^2+5696\,g\,c^6\,d^2-704\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^3\,\left(89\,g\,b^2\,e^2-356\,g\,b\,c\,d\,e+23\,f\,b\,c\,e^2+356\,g\,c^2\,d^2-44\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(29\,b\,e\,g-54\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{2528\,g\,b^2\,c^4\,e^2-9648\,g\,b\,c^5\,d\,e+464\,f\,b\,c^5\,e^2+9216\,g\,c^6\,d^2-864\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^3\,\left(72\,g\,b^2\,e^2-288\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+288\,g\,c^2\,d^2-27\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(11\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{312\,g\,b^2\,c^2\,e^3-1160\,g\,b\,c^3\,d\,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g\,b\,c^4\,d^2\,e-320\,f\,b\,c^4\,d\,e^2-624\,g\,c^5\,d^3+240\,f\,c^5\,d^2\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(19\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{504\,g\,b^2\,c^3\,e^3-1864\,g\,b\,c^4\,d\,e^2+152\,f\,b\,c^4\,e^3+1728\,g\,c^5\,d^2\,e-272\,f\,c^5\,d\,e^2}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{368\,g\,b^3\,c^2\,e^3-1792\,g\,b^2\,c^3\,d\,e^2+88\,f\,b^2\,c^3\,e^3+2752\,g\,b\,c^4\,d^2\,e-200\,f\,b\,c^4\,d\,e^2-1280\,g\,c^5\,d^3+64\,f\,c^5\,d^2\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(21\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{592\,g\,b^2\,c^3\,e^3-2200\,g\,b\,c^4\,d\,e^2+168\,f\,b\,c^4\,e^3+2048\,g\,c^5\,d^2\,e-304\,f\,c^5\,d\,e^2}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{520\,g\,b^3\,c^2\,e^3-2776\,g\,b^2\,c^3\,d\,e^2+248\,f\,b^2\,c^3\,e^3+4864\,g\,b\,c^4\,d^2\,e-824\,f\,b\,c^4\,d\,e^2-2784\,g\,c^5\,d^3+672\,f\,c^5\,d^2\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{-1328\,g\,b^3\,c^3\,e^3+6288\,g\,b^2\,c^4\,d\,e^2-176\,f\,b^2\,c^4\,e^3-9216\,g\,b\,c^5\,d^2\,e+304\,f\,b\,c^5\,d\,e^2+3904\,g\,c^6\,d^3+64\,f\,c^6\,d^2\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(25\,b\,e\,g-46\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^4\,\left(116\,g\,b^2\,e^2-439\,g\,b\,c\,d\,e+25\,f\,b\,c\,e^2+416\,g\,c^2\,d^2-46\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{1280\,g\,b^3\,c^3\,e^3-6496\,g\,b^2\,c^4\,d\,e^2+432\,f\,b^2\,c^4\,e^3+10624\,g\,b\,c^5\,d^2\,e-1360\,f\,b\,c^5\,d\,e^2-5504\,g\,c^6\,d^3+1024\,f\,c^6\,d^2\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(23\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^4\,\left(101\,g\,b^2\,e^2-381\,g\,b\,c\,d\,e+23\,f\,b\,c\,e^2+360\,g\,c^2\,d^2-42\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{2224\,g\,b^3\,c^3\,e^3-11744\,g\,b^2\,c^4\,d\,e^2+560\,f\,b^2\,c^4\,e^3+20288\,g\,b\,c^5\,d^2\,e-1808\,f\,b\,c^5\,d\,e^2-11392\,g\,c^6\,d^3+1408\,f\,c^6\,d^2\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(27\,b\,e\,g-50\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^4\,\left(135\,g\,b^2\,e^2-513\,g\,b\,c\,d\,e+27\,f\,b\,c\,e^2+488\,g\,c^2\,d^2-50\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^2\,e\,\left(7\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{44\,g\,b^2\,c\,e^3-148\,g\,b\,c^2\,d\,e^2+28\,f\,b\,c^2\,e^3+124\,g\,c^3\,d^2\,e-48\,f\,c^3\,d\,e^2}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}+\frac{4\,\left(b\,e-c\,d\right)\,\left(5\,g\,b^2\,e^2-20\,g\,b\,c\,d\,e+6\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-11\,f\,c^2\,d\,e\right)}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{2\,g\,b^3\,e^2-8\,g\,b^2\,c\,d\,e+4\,f\,b^2\,c\,e^2+8\,g\,b\,c^2\,d^2-6\,f\,b\,c^2\,d\,e}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{8\,g\,b^2\,c\,e^2-22\,g\,b\,c^2\,d\,e+10\,f\,b\,c^2\,e^2+16\,g\,c^3\,d^2-12\,f\,c^3\,d\,e}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{2\,c^2\,e\,\left(5\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(7\,b\,e\,g-10\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{76\,g\,b^2\,c^3\,e^2-248\,g\,b\,c^4\,d\,e+56\,f\,b\,c^4\,e^2+208\,g\,c^5\,d^2-80\,f\,c^5\,d\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{2\,b\,c^2\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+12\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(7\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{244\,g\,b^2\,c^3\,e^2-864\,g\,b\,c^4\,d\,e+112\,f\,b\,c^4\,e^2+768\,g\,c^5\,d^2-192\,f\,c^5\,d\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{4\,b\,c^2\,\left(24\,g\,b^2\,e^2-96\,g\,b\,c\,d\,e+13\,f\,b\,c\,e^2+96\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{292\,g\,b^2\,c^3\,e^2-1040\,g\,b\,c^4\,d\,e+128\,f\,b\,c^4\,e^2+928\,g\,c^5\,d^2-224\,f\,c^5\,d\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{4\,b\,c^2\,\left(29\,g\,b^2\,e^2-116\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+116\,g\,c^2\,d^2-28\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(23\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{712\,g\,b^2\,c^3\,e^2-2664\,g\,b\,c^4\,d\,e+184\,f\,b\,c^4\,e^2+2496\,g\,c^5\,d^2-336\,f\,c^5\,d\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{8\,b\,c^2\,\left(39\,g\,b^2\,e^2-156\,g\,b\,c\,d\,e+11\,f\,b\,c\,e^2+156\,g\,c^2\,d^2-21\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(16\,b\,e\,g-30\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^4\,\left(100\,g\,b^2\,e^2-384\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+369\,g\,c^2\,d^2-30\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(85\,g\,b^2\,e^2-340\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+340\,g\,c^2\,d^2-29\,f\,c^2\,d\,e\right)}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^2}{9\,b\,e^2-18\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c\,e\,\left(2\,b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{9\,b\,e^2-18\,c\,d\,e}-\frac{2\,c^2\,d\,e\,g}{9\,b\,e^2-18\,c\,d\,e}\right)}{e}-\frac{2\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+2\,c\,e\,f\right)}{9\,b\,e^2-18\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(13\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{96\,g\,b^2\,c^2\,e^3-332\,g\,b\,c^3\,d\,e^2+52\,f\,b\,c^3\,e^3+288\,g\,c^4\,d^2\,e-88\,f\,c^4\,d\,e^2}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{52\,g\,b^3\,c\,e^3-272\,g\,b^2\,c^2\,d\,e^2+56\,f\,b^2\,c^2\,e^3+464\,g\,b\,c^3\,d^2\,e-172\,f\,b\,c^3\,d\,e^2-256\,g\,c^4\,d^3+128\,f\,c^4\,d^2\,e}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(14\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^3\,\left(72\,g\,b^2\,e^2-274\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+261\,g\,c^2\,d^2-26\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(59\,g\,b^2\,e^2-236\,g\,b\,c\,d\,e+13\,f\,b\,c\,e^2+236\,g\,c^2\,d^2-25\,f\,c^2\,d\,e\right)}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((d*((32*c^5*(4*b*e*g - 6*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (608*c^6*d^2*g + 208*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 704*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (4*b*c^3*(19*b^2*e^2*g + 76*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 76*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((16*c^5*(13*b*e*g - 22*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (1568*c^6*d^2*g + 488*b^2*c^4*e^2*g - 352*c^6*d*e*f + 208*b*c^5*e^2*f - 1744*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (4*b*c^3*(49*b^2*e^2*g + 196*c^2*d^2*g + 24*b*c*e^2*f - 44*c^2*d*e*f - 196*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((16*c^5*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (1952*c^6*d^2*g + 600*b^2*c^4*e^2*g - 416*c^6*d*e*f + 240*b*c^5*e^2*f - 2160*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (4*b*c^3*(61*b^2*e^2*g + 244*c^2*d^2*g + 28*b*c*e^2*f - 52*c^2*d*e*f - 244*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((16*c^5*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (2336*c^6*d^2*g + 712*b^2*c^4*e^2*g - 480*c^6*d*e*f + 272*b*c^5*e^2*f - 2576*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (4*b*c^3*(73*b^2*e^2*g + 292*c^2*d^2*g + 32*b*c*e^2*f - 60*c^2*d*e*f - 292*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((32*c^5*(10*b*e*g - 18*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (4032*c^6*d^2*g + 1160*b^2*c^4*e^2*g - 576*c^6*d*e*f + 320*b*c^5*e^2*f - 4320*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (8*b*c^3*(63*b^2*e^2*g + 252*c^2*d^2*g + 19*b*c*e^2*f - 36*c^2*d*e*f - 252*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((32*c^5*(11*b*e*g - 20*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (4736*c^6*d^2*g + 1352*b^2*c^4*e^2*g - 640*c^6*d*e*f + 352*b*c^5*e^2*f - 5056*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (8*b*c^3*(74*b^2*e^2*g + 296*c^2*d^2*g + 21*b*c*e^2*f - 40*c^2*d*e*f - 296*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((32*c^5*(12*b*e*g - 22*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (5696*c^6*d^2*g + 1608*b^2*c^4*e^2*g - 704*c^6*d*e*f + 384*b*c^5*e^2*f - 6048*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (8*b*c^3*(89*b^2*e^2*g + 356*c^2*d^2*g + 23*b*c*e^2*f - 44*c^2*d*e*f - 356*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((16*c^5*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (9216*c^6*d^2*g + 2528*b^2*c^4*e^2*g - 864*c^6*d*e*f + 464*b*c^5*e^2*f - 9648*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^5)))/e + (16*b*c^3*(72*b^2*e^2*g + 288*c^2*d^2*g + 14*b*c*e^2*f - 27*c^2*d*e*f - 288*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((8*c^3*e*(11*b*e*g - 20*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (312*b^2*c^2*e^3*g + 88*b*c^3*e^3*f - 160*c^4*d*e^2*f + 1080*c^4*d^2*e*g - 1160*b*c^3*d*e^2*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (8*c*(b*e - c*d)*(29*b^2*e^2*g + 116*c^2*d^2*g + 10*b*c*e^2*f - 19*c^2*d*e*f - 116*b*c*d*e*g))/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((8*c^3*e*(3*b*e*g - 4*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (64*c^4*d^2*g + 26*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 80*b*c^3*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (2*b*c*(4*b^2*e^2*g + 16*c^2*d^2*g + 5*b*c*e^2*f - 8*c^2*d*e*f - 16*b*c*d*e*g))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((4*c^3*e*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (352*c^4*d^2*g + 116*b^2*c^2*e^2*g - 104*c^4*d*e*f + 60*b*c^3*e^2*f - 404*b*c^3*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (4*b*c*(11*b^2*e^2*g + 44*c^2*d^2*g + 7*b*c*e^2*f - 13*c^2*d*e*f - 44*b*c*d*e*g))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((176*b^2*c^4*e^3*f - 1216*c^6*d^3*g + 252*b^3*c^3*e^3*g + 384*c^6*d^2*e*f - 528*b*c^5*d*e^2*f + 2224*b*c^5*d^2*e*g - 1312*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((16*c^5*(11*b*e*g - 18*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (376*b^2*c^4*e^3*g + 176*b*c^5*e^3*f - 288*c^6*d*e^2*f + 1184*c^6*d^2*e*g - 1328*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((176*b^2*c^4*e^3*f - 1888*c^6*d^3*g + 536*b^3*c^3*e^3*g + 224*c^6*d^2*e*f - 448*b*c^5*d*e^2*f + 4032*b*c^5*d^2*e*g - 2616*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((32*c^5*(8*b*e*g - 14*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (776*b^2*c^4*e^3*g + 256*b*c^5*e^3*f - 448*c^6*d*e^2*f + 2624*c^6*d^2*e*g - 2848*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((344*b^2*c^4*e^3*f - 3904*c^6*d^3*g + 784*b^3*c^3*e^3*g + 832*c^6*d^2*e*f - 1088*b*c^5*d*e^2*f + 7040*b*c^5*d^2*e*g - 4112*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((32*c^5*(9*b*e*g - 16*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (936*b^2*c^4*e^3*g + 288*b*c^5*e^3*f - 512*c^6*d*e^2*f + 3200*c^6*d^2*e*g - 3456*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((392*b^2*c^4*e^3*f - 4672*c^6*d^3*g + 936*b^3*c^3*e^3*g + 960*c^6*d^2*e*f - 1248*b*c^5*d*e^2*f + 8416*b*c^5*d^2*e*g - 4912*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((32*c^5*(10*b*e*g - 18*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (1096*b^2*c^4*e^3*g + 320*b*c^5*e^3*f - 576*c^6*d*e^2*f + 3776*c^6*d^2*e*g - 4064*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((16*c^4*e*(6*b*e*g - 10*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (196*b^2*c^3*e^3*g + 96*b*c^4*e^3*f - 160*c^5*d*e^2*f + 608*c^5*d^2*e*g - 688*b*c^4*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (104*b^2*c^3*e^3*f - 624*c^5*d^3*g + 124*b^3*c^2*e^3*g + 240*c^5*d^2*e*f - 320*b*c^4*d*e^2*f + 1120*b*c^4*d^2*e*g - 652*b^2*c^3*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((8*c^4*e*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (504*b^2*c^3*e^3*g + 152*b*c^4*e^3*f - 272*c^5*d*e^2*f + 1728*c^5*d^2*e*g - 1864*b*c^4*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (88*b^2*c^3*e^3*f - 1280*c^5*d^3*g + 368*b^3*c^2*e^3*g + 64*c^5*d^2*e*f - 200*b*c^4*d*e^2*f + 2752*b*c^4*d^2*e*g - 1792*b^2*c^3*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((8*c^4*e*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (592*b^2*c^3*e^3*g + 168*b*c^4*e^3*f - 304*c^5*d*e^2*f + 2048*c^5*d^2*e*g - 2200*b*c^4*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (248*b^2*c^3*e^3*f - 2784*c^5*d^3*g + 520*b^3*c^2*e^3*g + 672*c^5*d^2*e*f - 824*b*c^4*d*e^2*f + 4864*b*c^4*d^2*e*g - 2776*b^2*c^3*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((3904*c^6*d^3*g - 176*b^2*c^4*e^3*f - 1328*b^3*c^3*e^3*g + 64*c^6*d^2*e*f + 304*b*c^5*d*e^2*f - 9216*b*c^5*d^2*e*g + 6288*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((d*((16*c^5*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (16*c^4*(116*b^2*e^2*g + 416*c^2*d^2*g + 25*b*c*e^2*f - 46*c^2*d*e*f - 439*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((432*b^2*c^4*e^3*f - 5504*c^6*d^3*g + 1280*b^3*c^3*e^3*g + 1024*c^6*d^2*e*f - 1360*b*c^5*d*e^2*f + 10624*b*c^5*d^2*e*g - 6496*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((16*c^5*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (16*c^4*(101*b^2*e^2*g + 360*c^2*d^2*g + 23*b*c*e^2*f - 42*c^2*d*e*f - 381*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((560*b^2*c^4*e^3*f - 11392*c^6*d^3*g + 2224*b^3*c^3*e^3*g + 1408*c^6*d^2*e*f - 1808*b*c^5*d*e^2*f + 20288*b*c^5*d^2*e*g - 11744*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^5) + (d*((d*((16*c^5*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (16*c^4*(135*b^2*e^2*g + 488*c^2*d^2*g + 27*b*c*e^2*f - 50*c^2*d*e*f - 513*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((4*c^2*e*(7*b*e*g - 12*c*d*g + c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (28*b*c^2*e^3*f + 44*b^2*c*e^3*g - 48*c^3*d*e^2*f + 124*c^3*d^2*e*g - 148*b*c^2*d*e^2*g)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e + (4*(b*e - c*d)*(5*b^2*e^2*g + 20*c^2*d^2*g + 6*b*c*e^2*f - 11*c^2*d*e*f - 20*b*c*d*e*g))/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((2*b^3*e^2*g + 8*b*c^2*d^2*g + 4*b^2*c*e^2*f - 6*b*c^2*d*e*f - 8*b^2*c*d*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (d*((16*c^3*d^2*g - 12*c^3*d*e*f + 10*b*c^2*e^2*f + 8*b^2*c*e^2*g - 22*b*c^2*d*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (d*((2*c^2*e*(5*b*e*g - 6*c*d*g + 2*c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((8*c^4*e*(7*b*e*g - 10*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (208*c^5*d^2*g + 76*b^2*c^3*e^2*g - 80*c^5*d*e*f + 56*b*c^4*e^2*f - 248*b*c^4*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (2*b*c^2*(13*b^2*e^2*g + 52*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 52*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((16*c^4*e*(7*b*e*g - 12*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (768*c^5*d^2*g + 244*b^2*c^3*e^2*g - 192*c^5*d*e*f + 112*b*c^4*e^2*f - 864*b*c^4*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(24*b^2*e^2*g + 96*c^2*d^2*g + 13*b*c*e^2*f - 24*c^2*d*e*f - 96*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((16*c^4*e*(8*b*e*g - 14*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (928*c^5*d^2*g + 292*b^2*c^3*e^2*g - 224*c^5*d*e*f + 128*b*c^4*e^2*f - 1040*b*c^4*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(29*b^2*e^2*g + 116*c^2*d^2*g + 15*b*c*e^2*f - 28*c^2*d*e*f - 116*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((8*c^4*e*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (2496*c^5*d^2*g + 712*b^2*c^3*e^2*g - 336*c^5*d*e*f + 184*b*c^4*e^2*f - 2664*b*c^4*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (8*b*c^2*(39*b^2*e^2*g + 156*c^2*d^2*g + 11*b*c*e^2*f - 21*c^2*d*e*f - 156*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*(16*b*e*g - 30*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^6*d*g)/(945*(b*e - 2*c*d)^5)))/e - (32*c^4*(100*b^2*e^2*g + 369*c^2*d^2*g + 16*b*c*e^2*f - 30*c^2*d*e*f - 384*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^5)))/e + (32*c^3*(b*e - c*d)*(85*b^2*e^2*g + 340*c^2*d^2*g + 15*b*c*e^2*f - 29*c^2*d*e*f - 340*b*c*d*e*g))/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*f*(b*e - c*d)^2)/(9*b*e^2 - 18*c*d*e) + (d*((d*((2*c*e*(2*b*e*g - 2*c*d*g + c*e*f))/(9*b*e^2 - 18*c*d*e) - (2*c^2*d*e*g)/(9*b*e^2 - 18*c*d*e)))/e - (2*(b*e - c*d)*(b*e*g - c*d*g + 2*c*e*f))/(9*b*e^2 - 18*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((d*((4*c^3*e*(13*b*e*g - 22*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (96*b^2*c^2*e^3*g + 52*b*c^3*e^3*f - 88*c^4*d*e^2*f + 288*c^4*d^2*e*g - 332*b*c^3*d*e^2*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (56*b^2*c^2*e^3*f - 256*c^4*d^3*g + 52*b^3*c*e^3*g + 128*c^4*d^2*e*f - 172*b*c^3*d*e^2*f + 464*b*c^3*d^2*e*g - 272*b^2*c^2*d*e^2*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((16*c^4*e*(14*b*e*g - 26*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^3*(72*b^2*e^2*g + 261*c^2*d^2*g + 14*b*c*e^2*f - 26*c^2*d*e*f - 274*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (16*c^2*(b*e - c*d)*(59*b^2*e^2*g + 236*c^2*d^2*g + 13*b*c*e^2*f - 25*c^2*d*e*f - 236*b*c*d*e*g))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2193,1,16485,285,42.703538,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^8,x)","\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(7\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{1184\,g\,b^2\,c^5\,e^2-4288\,g\,b\,c^6\,d\,e+448\,f\,b\,c^6\,e^2+3904\,g\,c^7\,d^2-768\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(61\,g\,b^2\,e^2-244\,g\,b\,c\,d\,e+26\,f\,b\,c\,e^2+244\,g\,c^2\,d^2-48\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(9\,b\,e\,g-14\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{544\,g\,b^2\,c^5\,e^2-1888\,g\,b\,c^6\,d\,e+288\,f\,b\,c^6\,e^2+1664\,g\,c^7\,d^2-448\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{16\,b\,c^4\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+8\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-14\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{1440\,g\,b^2\,c^5\,e^2-5248\,g\,b\,c^6\,d\,e+512\,f\,b\,c^6\,e^2+4800\,g\,c^7\,d^2-896\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(75\,g\,b^2\,e^2-300\,g\,b\,c\,d\,e+30\,f\,b\,c\,e^2+300\,g\,c^2\,d^2-56\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(9\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{1696\,g\,b^2\,c^5\,e^2-6208\,g\,b\,c^6\,d\,e+576\,f\,b\,c^6\,e^2+5696\,g\,c^7\,d^2-1024\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(89\,g\,b^2\,e^2-356\,g\,b\,c\,d\,e+34\,f\,b\,c\,e^2+356\,g\,c^2\,d^2-64\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(10\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{1952\,g\,b^2\,c^5\,e^2-7168\,g\,b\,c^6\,d\,e+640\,f\,b\,c^6\,e^2+6592\,g\,c^7\,d^2-1152\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(103\,g\,b^2\,e^2-412\,g\,b\,c\,d\,e+38\,f\,b\,c\,e^2+412\,g\,c^2\,d^2-72\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(21\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{2640\,g\,b^2\,c^5\,e^2-9888\,g\,b\,c^6\,d\,e+672\,f\,b\,c^6\,e^2+9280\,g\,c^7\,d^2-1216\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(145\,g\,b^2\,e^2-580\,g\,b\,c\,d\,e+40\,f\,b\,c\,e^2+580\,g\,c^2\,d^2-76\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(23\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{3056\,g\,b^2\,c^5\,e^2-11488\,g\,b\,c^6\,d\,e+736\,f\,b\,c^6\,e^2+10816\,g\,c^7\,d^2-1344\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(169\,g\,b^2\,e^2-676\,g\,b\,c\,d\,e+44\,f\,b\,c\,e^2+676\,g\,c^2\,d^2-84\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(25\,b\,e\,g-46\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{3472\,g\,b^2\,c^5\,e^2-13088\,g\,b\,c^6\,d\,e+800\,f\,b\,c^6\,e^2+12352\,g\,c^7\,d^2-1472\,f\,c^7\,d\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^4\,\left(193\,g\,b^2\,e^2-772\,g\,b\,c\,d\,e+48\,f\,b\,c\,e^2+772\,g\,c^2\,d^2-92\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(25\,b\,e\,g-46\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{3600\,g\,b^2\,c^5\,e^2-13600\,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ht)}{e}+\frac{8\,c\,\left(b\,e-c\,d\right)\,\left(41\,g\,b^2\,e^2-164\,g\,b\,c\,d\,e+12\,f\,b\,c\,e^2+164\,g\,c^2\,d^2-23\,f\,c^2\,d\,e\right)}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(3\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{26\,g\,b^2\,c^2\,e^2-80\,g\,b\,c^3\,d\,e+24\,f\,b\,c^3\,e^2+64\,g\,c^4\,d^2-32\,f\,c^4\,d\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{2\,b\,c\,\left(4\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e+5\,f\,b\,c\,e^2+16\,g\,c^2\,d^2-8\,f\,c^2\,d\,e\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{136\,g\,b^2\,c^2\,e^2-476\,g\,b\,c^3\,d\,e+68\,f\,b\,c^3\,e^2+416\,g\,c^4\,d^2-120\,f\,c^4\,d\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{4\,b\,c\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+8\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-15\,f\,c^2\,d\,e\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(7\,b\,e\,g-12\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{244\,g\,b^2\,c^3\,e^3-864\,g\,b\,c^4\,d\,e^2+112\,f\,b\,c^4\,e^3+768\,g\,c^5\,d^2\,e-192\,f\,c^5\,d\,e^2}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{160\,g\,b^3\,c^2\,e^3-848\,g\,b^2\,c^3\,d\,e^2+132\,f\,b^2\,c^3\,e^3+1472\,g\,b\,c^4\,d^2\,e-416\,f\,b\,c^4\,d\,e^2-832\,g\,c^5\,d^3+320\,f\,c^5\,d^2\,e}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(23\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{712\,g\,b^2\,c^3\,e^3-2664\,g\,b\,c^4\,d\,e^2+184\,f\,b\,c^4\,e^3+2496\,g\,c^5\,d^2\,e-336\,f\,c^5\,d\,e^2}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{-544\,g\,b^3\,c^2\,e^3+2624\,g\,b^2\,c^3\,d\,e^2-72\,f\,b^2\,c^3\,e^3-3968\,g\,b\,c^4\,d^2\,e+104\,f\,b\,c^4\,d\,e^2+1792\,g\,c^5\,d^3+64\,f\,c^5\,d^2\,e}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(13\,b\,e\,g-22\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{488\,g\,b^2\,c^4\,e^3-1744\,g\,b\,c^5\,d\,e^2+208\,f\,b\,c^5\,e^3+1568\,g\,c^6\,d^2\,e-352\,f\,c^6\,d\,e^2}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{352\,g\,b^3\,c^3\,e^3-1864\,g\,b^2\,c^4\,d\,e^2+240\,f\,b^2\,c^4\,e^3+3232\,g\,b\,c^5\,d^2\,e-752\,f\,b\,c^5\,d\,e^2-1824\,g\,c^6\,d^3+576\,f\,c^6\,d^2\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(25\,b\,e\,g-46\,c\,d\,g+2\,c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{816\,g\,b^2\,c^3\,e^3-3064\,g\,b\,c^4\,d\,e^2+200\,f\,b\,c^4\,e^3+2880\,g\,c^5\,d^2\,e-368\,f\,c^5\,d\,e^2}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{776\,g\,b^3\,c^2\,e^3-4192\,g\,b^2\,c^3\,d\,e^2+352\,f\,b^2\,c^3\,e^3+7456\,g\,b\,c^4\,d^2\,e-1208\,f\,b\,c^4\,d\,e^2-4352\,g\,c^5\,d^3+1024\,f\,c^5\,d^2\,e}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32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c\,d\,e+60\,f\,b\,c\,e^2+1216\,g\,c^2\,d^2-112\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{6576\,g\,b^3\,c^4\,e^3-34784\,g\,b^2\,c^5\,d\,e^2+1360\,f\,b^2\,c^5\,e^3+60224\,g\,b\,c^6\,d^2\,e-4416\,f\,b\,c^6\,d\,e^2-33920\,g\,c^7\,d^3+3456\,f\,c^7\,d^2\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}+\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(16\,b\,e\,g-30\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{16\,c^5\,\left(377\,g\,b^2\,e^2-1444\,g\,b\,c\,d\,e+64\,f\,b\,c\,e^2+1384\,g\,c^2\,d^2-120\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{7744\,g\,b^3\,c^4\,e^3-41216\,g\,b^2\,c^5\,d\,e^2+2400\,f\,b^2\,c^5\,e^3+71936\,g\,b\,c^6\,d^2\,e-8480\,f\,b\,c^6\,d\,e^2-40960\,g\,c^7\,d^3+7424\,f\,c^7\,d^2\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}+\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(35\,b\,e\,g-66\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,c^5\,\left(239\,g\,b^2\,e^2-921\,g\,b\,c\,d\,e+35\,f\,b\,c\,e^2+888\,g\,c^2\,d^2-66\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{11168\,g\,b^3\,c^4\,e^3-59200\,g\,b^2\,c^5\,d\,e^2+1696\,f\,b^2\,c^5\,e^3+102784\,g\,b\,c^6\,d^2\,e-5536\,f\,b\,c^6\,d\,e^2-58112\,g\,c^7\,d^3+4352\,f\,c^7\,d^2\,e}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}+\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,\left(39\,b\,e\,g-74\,c\,d\,g+2\,c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{32\,c^5\,\left(297\,g\,b^2\,e^2-1149\,g\,b\,c\,d\,e+39\,f\,b\,c\,e^2+1112\,g\,c^2\,d^2-74\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^2\,e\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{52\,g\,b^2\,c\,e^3-176\,g\,b\,c^2\,d\,e^2+32\,f\,b\,c^2\,e^3+148\,g\,c^3\,d^2\,e-56\,f\,c^3\,d\,e^2}{11\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}+\frac{4\,\left(b\,e-c\,d\right)\,\left(6\,g\,b^2\,e^2-24\,g\,b\,c\,d\,e+7\,f\,b\,c\,e^2+24\,g\,c^2\,d^2-13\,f\,c^2\,d\,e\right)}{11\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{2\,g\,b^3\,e^2-8\,g\,b^2\,c\,d\,e+4\,f\,b^2\,c\,e^2+8\,g\,b\,c^2\,d^2-6\,f\,b\,c^2\,d\,e}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{8\,g\,b^2\,c\,e^2-22\,g\,b\,c^2\,d\,e+10\,f\,b\,c^2\,e^2+16\,g\,c^3\,d^2-12\,f\,c^3\,d\,e}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{d\,\left(\frac{2\,c^2\,e\,\left(5\,b\,e\,g-6\,c\,d\,g+2\,c\,e\,f\right)}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^3\,d\,e\,g}{11\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(7\,b\,e\,g-10\,c\,d\,g+2\,c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{76\,g\,b^2\,c^3\,e^2-248\,g\,b\,c^4\,d\,e+56\,f\,b\,c^4\,e^2+208\,g\,c^5\,d^2-80\,f\,c^5\,d\,e}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{2\,b\,c^2\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+12\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{292\,g\,b^2\,c^3\,e^2-1040\,g\,b\,c^4\,d\,e+128\,f\,b\,c^4\,e^2+928\,g\,c^5\,d^2-224\,f\,c^5\,d\,e}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{4\,b\,c^2\,\left(29\,g\,b^2\,e^2-116\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+116\,g\,c^2\,d^2-28\,f\,c^2\,d\,e\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,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3\,\left(89\,g\,b^2\,e^2-356\,g\,b\,c\,d\,e+23\,f\,b\,c\,e^2+356\,g\,c^2\,d^2-44\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(13\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{1832\,g\,b^2\,c^4\,e^2-6912\,g\,b\,c^5\,d\,e+416\,f\,b\,c^5\,e^2+6528\,g\,c^6\,d^2-768\,f\,c^6\,d\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^3\,\left(102\,g\,b^2\,e^2-408\,g\,b\,c\,d\,e+25\,f\,b\,c\,e^2+408\,g\,c^2\,d^2-48\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(14\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{2120\,g\,b^2\,c^4\,e^2-8032\,g\,b\,c^5\,d\,e+448\,f\,b\,c^5\,e^2+7616\,g\,c^6\,d^2-832\,f\,c^6\,d\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^3\,\left(119\,g\,b^2\,e^2-476\,g\,b\,c\,d\,e+27\,f\,b\,c\,e^2+476\,g\,c^2\,d^2-52\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(35\,b\,e\,g-66\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{3632\,g\,b^2\,c^4\,e^2-13968\,g\,b\,c^5\,d\,e+560\,f\,b\,c^5\,e^2+13440\,g\,c^6\,d^2-1056\,f\,c^6\,d\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{16\,b\,c^3\,\left(105\,g\,b^2\,e^2-420\,g\,b\,c\,d\,e+17\,f\,b\,c\,e^2+420\,g\,c^2\,d^2-33\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(31\,b\,e\,g-58\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^4\,\left(177\,g\,b^2\,e^2-677\,g\,b\,c\,d\,e+31\,f\,b\,c\,e^2+648\,g\,c^2\,d^2-58\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{-1792\,g\,b^3\,c^3\,e^3+7712\,g\,b^2\,c^4\,d\,e^2+208\,f\,b^2\,c^4\,e^3-9344\,g\,b\,c^5\,d^2\,e-1328\,f\,b\,c^5\,d\,e^2+2176\,g\,c^6\,d^3+1792\,f\,c^6\,d^2\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(29\,b\,e\,g-54\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^4\,\left(158\,g\,b^2\,e^2-603\,g\,b\,c\,d\,e+29\,f\,b\,c\,e^2+576\,g\,c^2\,d^2-54\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{2096\,g\,b^3\,c^3\,e^3-10864\,g\,b^2\,c^4\,d\,e^2+816\,f\,b^2\,c^4\,e^3+18304\,g\,b\,c^5\,d^2\,e-2800\,f\,b\,c^5\,d\,e^2-9920\,g\,c^6\,d^3+2368\,f\,c^6\,d^2\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(33\,b\,e\,g-62\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^4\,\left(200\,g\,b^2\,e^2-767\,g\,b\,c\,d\,e+33\,f\,b\,c\,e^2+736\,g\,c^2\,d^2-62\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4016\,g\,b^3\,c^3\,e^3-21776\,g\,b^2\,c^4\,d\,e^2+880\,f\,b^2\,c^4\,e^3+38912\,g\,b\,c^5\,d^2\,e-2992\,f\,b\,c^5\,d\,e^2-22848\,g\,c^6\,d^3+2496\,f\,c^6\,d^2\,e}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,\left(22\,b\,e\,g-42\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^7\,d\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{64\,c^5\,\left(196\,g\,b^2\,e^2-762\,g\,b\,c\,d\,e+22\,f\,b\,c\,e^2+741\,g\,c^2\,d^2-42\,f\,c^2\,d\,e\right)}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{64\,c^4\,\left(b\,e-c\,d\right)\,\left(175\,g\,b^2\,e^2-700\,g\,b\,c\,d\,e+21\,f\,b\,c\,e^2+700\,g\,c^2\,d^2-41\,f\,c^2\,d\,e\right)}{10395\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^2}{11\,b\,e^2-22\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c\,e\,\left(2\,b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{11\,b\,e^2-22\,c\,d\,e}-\frac{2\,c^2\,d\,e\,g}{11\,b\,e^2-22\,c\,d\,e}\right)}{e}-\frac{2\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+2\,c\,e\,f\right)}{11\,b\,e^2-22\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^6}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(15\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{116\,g\,b^2\,c^2\,e^3-404\,g\,b\,c^3\,d\,e^2+60\,f\,b\,c^3\,e^3+352\,g\,c^4\,d^2\,e-104\,f\,c^4\,d\,e^2}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{64\,g\,b^3\,c\,e^3-336\,g\,b^2\,c^2\,d\,e^2+68\,f\,b^2\,c^2\,e^3+576\,g\,b\,c^3\,d^2\,e-212\,f\,b\,c^3\,d\,e^2-320\,g\,c^4\,d^3+160\,f\,c^4\,d^2\,e}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(17\,b\,e\,g-32\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^3\,\left(105\,g\,b^2\,e^2-403\,g\,b\,c\,d\,e+17\,f\,b\,c\,e^2+387\,g\,c^2\,d^2-32\,f\,c^2\,d\,e\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(89\,g\,b^2\,e^2-356\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+356\,g\,c^2\,d^2-31\,f\,c^2\,d\,e\right)}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(20\,b\,e\,g-38\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{32\,c^4\,\left(156\,g\,b^2\,e^2-604\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+585\,g\,c^2\,d^2-38\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(137\,g\,b^2\,e^2-548\,g\,b\,c\,d\,e+19\,f\,b\,c\,e^2+548\,g\,c^2\,d^2-37\,f\,c^2\,d\,e\right)}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((d*((64*c^6*(7*b*e*g - 12*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (3904*c^7*d^2*g + 1184*b^2*c^5*e^2*g - 768*c^7*d*e*f + 448*b*c^6*e^2*f - 4288*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(61*b^2*e^2*g + 244*c^2*d^2*g + 26*b*c*e^2*f - 48*c^2*d*e*f - 244*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(9*b*e*g - 14*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (1664*c^7*d^2*g + 544*b^2*c^5*e^2*g - 448*c^7*d*e*f + 288*b*c^6*e^2*f - 1888*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (16*b*c^4*(13*b^2*e^2*g + 52*c^2*d^2*g + 8*b*c*e^2*f - 14*c^2*d*e*f - 52*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(8*b*e*g - 14*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (4800*c^7*d^2*g + 1440*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 5248*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(75*b^2*e^2*g + 300*c^2*d^2*g + 30*b*c*e^2*f - 56*c^2*d*e*f - 300*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(9*b*e*g - 16*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (5696*c^7*d^2*g + 1696*b^2*c^5*e^2*g - 1024*c^7*d*e*f + 576*b*c^6*e^2*f - 6208*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(89*b^2*e^2*g + 356*c^2*d^2*g + 34*b*c*e^2*f - 64*c^2*d*e*f - 356*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(10*b*e*g - 18*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (6592*c^7*d^2*g + 1952*b^2*c^5*e^2*g - 1152*c^7*d*e*f + 640*b*c^6*e^2*f - 7168*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(103*b^2*e^2*g + 412*c^2*d^2*g + 38*b*c*e^2*f - 72*c^2*d*e*f - 412*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (9280*c^7*d^2*g + 2640*b^2*c^5*e^2*g - 1216*c^7*d*e*f + 672*b*c^6*e^2*f - 9888*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(145*b^2*e^2*g + 580*c^2*d^2*g + 40*b*c*e^2*f - 76*c^2*d*e*f - 580*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (10816*c^7*d^2*g + 3056*b^2*c^5*e^2*g - 1344*c^7*d*e*f + 736*b*c^6*e^2*f - 11488*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(169*b^2*e^2*g + 676*c^2*d^2*g + 44*b*c*e^2*f - 84*c^2*d*e*f - 676*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (12352*c^7*d^2*g + 3472*b^2*c^5*e^2*g - 1472*c^7*d*e*f + 800*b*c^6*e^2*f - 13088*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(193*b^2*e^2*g + 772*c^2*d^2*g + 48*b*c*e^2*f - 92*c^2*d*e*f - 772*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (12864*c^7*d^2*g + 3600*b^2*c^5*e^2*g - 1472*c^7*d*e*f + 800*b*c^6*e^2*f - 13600*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(201*b^2*e^2*g + 804*c^2*d^2*g + 48*b*c*e^2*f - 92*c^2*d*e*f - 804*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (14656*c^7*d^2*g + 4080*b^2*c^5*e^2*g - 1600*c^7*d*e*f + 864*b*c^6*e^2*f - 15456*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(229*b^2*e^2*g + 916*c^2*d^2*g + 52*b*c*e^2*f - 100*c^2*d*e*f - 916*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16960*c^7*d^2*g + 4688*b^2*c^5*e^2*g - 1728*c^7*d*e*f + 928*b*c^6*e^2*f - 17824*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (8*b*c^4*(265*b^2*e^2*g + 1060*c^2*d^2*g + 56*b*c*e^2*f - 108*c^2*d*e*f - 1060*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(15*b*e*g - 28*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (20224*c^7*d^2*g + 5520*b^2*c^5*e^2*g - 1792*c^7*d*e*f + 960*b*c^6*e^2*f - 21120*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (16*b*c^4*(158*b^2*e^2*g + 632*c^2*d^2*g + 29*b*c*e^2*f - 56*c^2*d*e*f - 632*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(16*b*e*g - 30*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (22656*c^7*d^2*g + 6160*b^2*c^5*e^2*g - 1920*c^7*d*e*f + 1024*b*c^6*e^2*f - 23616*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (16*b*c^4*(177*b^2*e^2*g + 708*c^2*d^2*g + 31*b*c*e^2*f - 60*c^2*d*e*f - 708*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(17*b*e*g - 32*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (25600*c^7*d^2*g + 6928*b^2*c^5*e^2*g - 2048*c^7*d*e*f + 1088*b*c^6*e^2*f - 26624*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (16*b*c^4*(200*b^2*e^2*g + 800*c^2*d^2*g + 33*b*c*e^2*f - 64*c^2*d*e*f - 800*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((64*c^6*(18*b*e*g - 34*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (29056*c^7*d^2*g + 7824*b^2*c^5*e^2*g - 2176*c^7*d*e*f + 1152*b*c^6*e^2*f - 30144*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (16*b*c^4*(227*b^2*e^2*g + 908*c^2*d^2*g + 35*b*c*e^2*f - 68*c^2*d*e*f - 908*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((32*c^6*(41*b*e*g - 78*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (39936*c^7*d^2*g + 10624*b^2*c^5*e^2*g - 2496*c^7*d*e*f + 1312*b*c^6*e^2*f - 41184*b*c^6*d*e*g)/(10395*e*(b*e - 2*c*d)^6)))/e + (32*b*c^4*(156*b^2*e^2*g + 624*c^2*d^2*g + 20*b*c*e^2*f - 39*c^2*d*e*f - 624*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((8*c^3*e*(13*b*e*g - 24*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (424*b^2*c^2*e^3*g + 104*b*c^3*e^3*f - 192*c^4*d*e^2*f + 1496*c^4*d^2*e*g - 1592*b*c^3*d*e^2*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (8*c*(b*e - c*d)*(41*b^2*e^2*g + 164*c^2*d^2*g + 12*b*c*e^2*f - 23*c^2*d*e*f - 164*b*c*d*e*g))/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((8*c^3*e*(3*b*e*g - 4*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (64*c^4*d^2*g + 26*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 80*b*c^3*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (2*b*c*(4*b^2*e^2*g + 16*c^2*d^2*g + 5*b*c*e^2*f - 8*c^2*d*e*f - 16*b*c*d*e*g))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((4*c^3*e*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (416*c^4*d^2*g + 136*b^2*c^2*e^2*g - 120*c^4*d*e*f + 68*b*c^3*e^2*f - 476*b*c^3*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (4*b*c*(13*b^2*e^2*g + 52*c^2*d^2*g + 8*b*c*e^2*f - 15*c^2*d*e*f - 52*b*c*d*e*g))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((16*c^4*e*(7*b*e*g - 12*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (244*b^2*c^3*e^3*g + 112*b*c^4*e^3*f - 192*c^5*d*e^2*f + 768*c^5*d^2*e*g - 864*b*c^4*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (132*b^2*c^3*e^3*f - 832*c^5*d^3*g + 160*b^3*c^2*e^3*g + 320*c^5*d^2*e*f - 416*b*c^4*d*e^2*f + 1472*b*c^4*d^2*e*g - 848*b^2*c^3*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((8*c^4*e*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (712*b^2*c^3*e^3*g + 184*b*c^4*e^3*f - 336*c^5*d*e^2*f + 2496*c^5*d^2*e*g - 2664*b*c^4*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (1792*c^5*d^3*g - 72*b^2*c^3*e^3*f - 544*b^3*c^2*e^3*g + 64*c^5*d^2*e*f + 104*b*c^4*d*e^2*f - 3968*b*c^4*d^2*e*g + 2624*b^2*c^3*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(13*b*e*g - 22*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (488*b^2*c^4*e^3*g + 208*b*c^5*e^3*f - 352*c^6*d*e^2*f + 1568*c^6*d^2*e*g - 1744*b*c^5*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (240*b^2*c^4*e^3*f - 1824*c^6*d^3*g + 352*b^3*c^3*e^3*g + 576*c^6*d^2*e*f - 752*b*c^5*d*e^2*f + 3232*b*c^5*d^2*e*g - 1864*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((8*c^4*e*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (816*b^2*c^3*e^3*g + 200*b*c^4*e^3*f - 368*c^5*d*e^2*f + 2880*c^5*d^2*e*g - 3064*b*c^4*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (352*b^2*c^3*e^3*f - 4352*c^5*d^3*g + 776*b^3*c^2*e^3*g + 1024*c^5*d^2*e*f - 1208*b*c^4*d*e^2*f + 7456*b*c^4*d^2*e*g - 4192*b^2*c^3*d*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(10*b*e*g - 18*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1160*b^2*c^4*e^3*g + 320*b*c^5*e^3*f - 576*c^6*d*e^2*f + 4032*c^6*d^2*e*g - 4320*b*c^5*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2528*c^6*d^3*g - 144*b^2*c^4*e^3*f - 824*b^3*c^3*e^3*g + 32*c^6*d^2*e*f + 256*b*c^5*d*e^2*f - 5824*b*c^5*d^2*e*g + 3928*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*e*(11*b*e*g - 20*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1352*b^2*c^4*e^3*g + 352*b*c^5*e^3*f - 640*c^6*d*e^2*f + 4736*c^6*d^2*e*g - 5056*b*c^5*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (528*b^2*c^4*e^3*f - 7008*c^6*d^3*g + 1288*b^3*c^3*e^3*g + 1440*c^6*d^2*e*f - 1760*b*c^5*d*e^2*f + 12160*b*c^5*d^2*e*g - 6904*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*e*(12*b*e*g - 22*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1544*b^2*c^4*e^3*g + 384*b*c^5*e^3*f - 704*c^6*d*e^2*f + 5440*c^6*d^2*e*g - 5792*b*c^5*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (592*b^2*c^4*e^3*f - 8160*c^6*d^3*g + 1496*b^3*c^3*e^3*g + 1632*c^6*d^2*e*f - 1984*b*c^5*d*e^2*f + 14144*b*c^5*d^2*e*g - 8024*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((400*b^2*c^5*e^3*f - 3328*c^7*d^3*g + 680*b^3*c^4*e^3*g + 896*c^7*d^2*e*f - 1216*b*c^6*d*e^2*f + 6048*b*c^6*d^2*e*g - 3552*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((64*c^6*(6*b*e*g - 10*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (32*c^5*(29*b^2*e^2*g + 94*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 104*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((352*b^2*c^5*e^3*f - 4160*c^7*d^3*g + 1248*b^3*c^4*e^3*g + 384*c^7*d^2*e*f - 864*b*c^6*d*e^2*f + 9152*b*c^6*d^2*e*g - 6032*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(113*b^2*e^2*g + 388*c^2*d^2*g + 34*b*c*e^2*f - 60*c^2*d*e*f - 418*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((736*b^2*c^5*e^3*f - 9600*c^7*d^3*g + 1912*b^3*c^4*e^3*g + 1792*c^7*d^2*e*f - 2336*b*c^6*d*e^2*f + 17248*b*c^6*d^2*e*g - 10048*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(135*b^2*e^2*g + 468*c^2*d^2*g + 38*b*c*e^2*f - 68*c^2*d*e*f - 502*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((7616*c^7*d^3*g - 352*b^2*c^5*e^3*f - 2832*b^3*c^4*e^3*g + 192*c^7*d^2*e*f + 576*b*c^6*d*e^2*f - 18944*b*c^6*d^2*e*g + 13232*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((d*((64*c^6*(13*b*e*g - 24*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(257*b^2*e^2*g + 928*c^2*d^2*g + 52*b*c*e^2*f - 96*c^2*d*e*f - 976*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((8384*c^7*d^3*g - 352*b^2*c^5*e^3*f - 3184*b^3*c^4*e^3*g + 320*c^7*d^2*e*f + 512*b*c^6*d*e^2*f - 21120*b*c^6*d^2*e*g + 14832*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((d*((64*c^6*(14*b*e*g - 26*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(289*b^2*e^2*g + 1048*c^2*d^2*g + 56*b*c*e^2*f - 104*c^2*d*e*f - 1100*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((832*b^2*c^5*e^3*f - 11392*c^7*d^3*g + 2264*b^3*c^4*e^3*g + 2048*c^7*d^2*e*f - 2656*b*c^6*d*e^2*f + 20448*b*c^6*d^2*e*g - 11904*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(157*b^2*e^2*g + 548*c^2*d^2*g + 42*b*c*e^2*f - 76*c^2*d*e*f - 586*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((5504*c^7*d^3*g - 352*b^2*c^5*e^3*f - 4768*b^3*c^4*e^3*g + 896*c^7*d^2*e*f + 224*b*c^6*d*e^2*f - 24576*b*c^6*d^2*e*g + 20448*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((d*((32*c^6*(37*b*e*g - 70*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (32*c^5*(266*b^2*e^2*g + 992*c^2*d^2*g + 37*b*c*e^2*f - 70*c^2*d*e*f - 1027*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((928*b^2*c^5*e^3*f - 13184*c^7*d^3*g + 2616*b^3*c^4*e^3*g + 2304*c^7*d^2*e*f - 2976*b*c^6*d*e^2*f + 23648*b*c^6*d^2*e*g - 13760*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(179*b^2*e^2*g + 628*c^2*d^2*g + 46*b*c*e^2*f - 84*c^2*d*e*f - 670*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((992*b^2*c^5*e^3*f - 13504*c^7*d^3*g + 2992*b^3*c^4*e^3*g + 2496*c^7*d^2*e*f - 3200*b*c^6*d*e^2*f + 25472*b*c^6*d^2*e*g - 15344*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((64*c^6*(12*b*e*g - 22*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(225*b^2*e^2*g + 808*c^2*d^2*g + 48*b*c*e^2*f - 88*c^2*d*e*f - 852*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((224*b^2*c^5*e^3*f - 20608*c^7*d^3*g + 5920*b^3*c^4*e^3*g - 1152*c^7*d^2*e*f + 160*b*c^6*d*e^2*f + 44288*b*c^6*d^2*e*g - 28832*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (32*c^5*(216*b^2*e^2*g + 800*c^2*d^2*g + 33*b*c*e^2*f - 62*c^2*d*e*f - 831*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1168*b^2*c^5*e^3*f - 25728*c^7*d^3*g + 5008*b^3*c^4*e^3*g + 2944*c^7*d^2*e*f - 3776*b*c^6*d*e^2*f + 45760*b*c^6*d^2*e*g - 26464*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((64*c^6*(14*b*e*g - 26*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(297*b^2*e^2*g + 1080*c^2*d^2*g + 56*b*c*e^2*f - 104*c^2*d*e*f - 1132*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1264*b^2*c^5*e^3*f - 29312*c^7*d^3*g + 5696*b^3*c^4*e^3*g + 3200*c^7*d^2*e*f - 4096*b*c^6*d*e^2*f + 52096*b*c^6*d^2*e*g - 30112*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((64*c^6*(15*b*e*g - 28*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(333*b^2*e^2*g + 1216*c^2*d^2*g + 60*b*c*e^2*f - 112*c^2*d*e*f - 1272*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1360*b^2*c^5*e^3*f - 33920*c^7*d^3*g + 6576*b^3*c^4*e^3*g + 3456*c^7*d^2*e*f - 4416*b*c^6*d*e^2*f + 60224*b*c^6*d^2*e*g - 34784*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((64*c^6*(16*b*e*g - 30*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (16*c^5*(377*b^2*e^2*g + 1384*c^2*d^2*g + 64*b*c*e^2*f - 120*c^2*d*e*f - 1444*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2400*b^2*c^5*e^3*f - 40960*c^7*d^3*g + 7744*b^3*c^4*e^3*g + 7424*c^7*d^2*e*f - 8480*b*c^6*d*e^2*f + 71936*b*c^6*d^2*e*g - 41216*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (32*c^5*(239*b^2*e^2*g + 888*c^2*d^2*g + 35*b*c*e^2*f - 66*c^2*d*e*f - 921*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((1696*b^2*c^5*e^3*f - 58112*c^7*d^3*g + 11168*b^3*c^4*e^3*g + 4352*c^7*d^2*e*f - 5536*b*c^6*d*e^2*f + 102784*b*c^6*d^2*e*g - 59200*b^2*c^5*d*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6) + (d*((d*((32*c^6*(39*b*e*g - 74*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (32*c^5*(297*b^2*e^2*g + 1112*c^2*d^2*g + 39*b*c*e^2*f - 74*c^2*d*e*f - 1149*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((4*c^2*e*(8*b*e*g - 14*c*d*g + c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (32*b*c^2*e^3*f + 52*b^2*c*e^3*g - 56*c^3*d*e^2*f + 148*c^3*d^2*e*g - 176*b*c^2*d*e^2*g)/(11*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e + (4*(b*e - c*d)*(6*b^2*e^2*g + 24*c^2*d^2*g + 7*b*c*e^2*f - 13*c^2*d*e*f - 24*b*c*d*e*g))/(11*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((2*b^3*e^2*g + 8*b*c^2*d^2*g + 4*b^2*c*e^2*f - 6*b*c^2*d*e*f - 8*b^2*c*d*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (d*((16*c^3*d^2*g - 12*c^3*d*e*f + 10*b*c^2*e^2*f + 8*b^2*c*e^2*g - 22*b*c^2*d*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (d*((2*c^2*e*(5*b*e*g - 6*c*d*g + 2*c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((d*((8*c^4*e*(7*b*e*g - 10*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (208*c^5*d^2*g + 76*b^2*c^3*e^2*g - 80*c^5*d*e*f + 56*b*c^4*e^2*f - 248*b*c^4*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (2*b*c^2*(13*b^2*e^2*g + 52*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 52*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((16*c^4*e*(8*b*e*g - 14*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (928*c^5*d^2*g + 292*b^2*c^3*e^2*g - 224*c^5*d*e*f + 128*b*c^4*e^2*f - 1040*b*c^4*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(29*b^2*e^2*g + 116*c^2*d^2*g + 15*b*c*e^2*f - 28*c^2*d*e*f - 116*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((16*c^4*e*(9*b*e*g - 16*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (1088*c^5*d^2*g + 340*b^2*c^3*e^2*g - 256*c^5*d*e*f + 144*b*c^4*e^2*f - 1216*b*c^4*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(34*b^2*e^2*g + 136*c^2*d^2*g + 17*b*c*e^2*f - 32*c^2*d*e*f - 136*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((8*c^4*e*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (3392*c^5*d^2*g + 952*b^2*c^3*e^2*g - 400*c^5*d*e*f + 216*b*c^4*e^2*f - 3592*b*c^4*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (8*b*c^2*(53*b^2*e^2*g + 212*c^2*d^2*g + 13*b*c*e^2*f - 25*c^2*d*e*f - 212*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(4*b*e*g - 6*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (608*c^6*d^2*g + 208*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 704*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(19*b^2*e^2*g + 76*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 76*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1952*c^6*d^2*g + 600*b^2*c^4*e^2*g - 416*c^6*d*e*f + 240*b*c^5*e^2*f - 2160*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(61*b^2*e^2*g + 244*c^2*d^2*g + 28*b*c*e^2*f - 52*c^2*d*e*f - 244*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2336*c^6*d^2*g + 712*b^2*c^4*e^2*g - 480*c^6*d*e*f + 272*b*c^5*e^2*f - 2576*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(73*b^2*e^2*g + 292*c^2*d^2*g + 32*b*c*e^2*f - 60*c^2*d*e*f - 292*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2720*c^6*d^2*g + 824*b^2*c^4*e^2*g - 544*c^6*d*e*f + 304*b*c^5*e^2*f - 2992*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(85*b^2*e^2*g + 340*c^2*d^2*g + 36*b*c*e^2*f - 68*c^2*d*e*f - 340*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*e*(12*b*e*g - 22*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (5696*c^6*d^2*g + 1608*b^2*c^4*e^2*g - 704*c^6*d*e*f + 384*b*c^5*e^2*f - 6048*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(89*b^2*e^2*g + 356*c^2*d^2*g + 23*b*c*e^2*f - 44*c^2*d*e*f - 356*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*e*(13*b*e*g - 24*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (6528*c^6*d^2*g + 1832*b^2*c^4*e^2*g - 768*c^6*d*e*f + 416*b*c^5*e^2*f - 6912*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(102*b^2*e^2*g + 408*c^2*d^2*g + 25*b*c*e^2*f - 48*c^2*d*e*f - 408*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((32*c^5*e*(14*b*e*g - 26*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (7616*c^6*d^2*g + 2120*b^2*c^4*e^2*g - 832*c^6*d*e*f + 448*b*c^5*e^2*f - 8032*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(119*b^2*e^2*g + 476*c^2*d^2*g + 27*b*c*e^2*f - 52*c^2*d*e*f - 476*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (13440*c^6*d^2*g + 3632*b^2*c^4*e^2*g - 1056*c^6*d*e*f + 560*b*c^5*e^2*f - 13968*b*c^5*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (16*b*c^3*(105*b^2*e^2*g + 420*c^2*d^2*g + 17*b*c*e^2*f - 33*c^2*d*e*f - 420*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(177*b^2*e^2*g + 648*c^2*d^2*g + 31*b*c*e^2*f - 58*c^2*d*e*f - 677*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2176*c^6*d^3*g + 208*b^2*c^4*e^3*f - 1792*b^3*c^3*e^3*g + 1792*c^6*d^2*e*f - 1328*b*c^5*d*e^2*f - 9344*b*c^5*d^2*e*g + 7712*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(158*b^2*e^2*g + 576*c^2*d^2*g + 29*b*c*e^2*f - 54*c^2*d*e*f - 603*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (816*b^2*c^4*e^3*f - 9920*c^6*d^3*g + 2096*b^3*c^3*e^3*g + 2368*c^6*d^2*e*f - 2800*b*c^5*d*e^2*f + 18304*b*c^5*d^2*e*g - 10864*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(200*b^2*e^2*g + 736*c^2*d^2*g + 33*b*c*e^2*f - 62*c^2*d*e*f - 767*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (880*b^2*c^4*e^3*f - 22848*c^6*d^3*g + 4016*b^3*c^3*e^3*g + 2496*c^6*d^2*e*f - 2992*b*c^5*d*e^2*f + 38912*b*c^5*d^2*e*g - 21776*b^2*c^4*d*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*(22*b*e*g - 42*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^7*d*g)/(10395*(b*e - 2*c*d)^6)))/e - (64*c^5*(196*b^2*e^2*g + 741*c^2*d^2*g + 22*b*c*e^2*f - 42*c^2*d*e*f - 762*b*c*d*e*g))/(10395*e*(b*e - 2*c*d)^6)))/e + (64*c^4*(b*e - c*d)*(175*b^2*e^2*g + 700*c^2*d^2*g + 21*b*c*e^2*f - 41*c^2*d*e*f - 700*b*c*d*e*g))/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*f*(b*e - c*d)^2)/(11*b*e^2 - 22*c*d*e) + (d*((d*((2*c*e*(2*b*e*g - 2*c*d*g + c*e*f))/(11*b*e^2 - 22*c*d*e) - (2*c^2*d*e*g)/(11*b*e^2 - 22*c*d*e)))/e - (2*(b*e - c*d)*(b*e*g - c*d*g + 2*c*e*f))/(11*b*e^2 - 22*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((d*((4*c^3*e*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (116*b^2*c^2*e^3*g + 60*b*c^3*e^3*f - 104*c^4*d*e^2*f + 352*c^4*d^2*e*g - 404*b*c^3*d*e^2*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (68*b^2*c^2*e^3*f - 320*c^4*d^3*g + 64*b^3*c*e^3*g + 160*c^4*d^2*e*f - 212*b*c^3*d*e^2*f + 576*b*c^3*d^2*e*g - 336*b^2*c^2*d*e^2*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((16*c^4*e*(17*b*e*g - 32*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^3*(105*b^2*e^2*g + 387*c^2*d^2*g + 17*b*c*e^2*f - 32*c^2*d*e*f - 403*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (16*c^2*(b*e - c*d)*(89*b^2*e^2*g + 356*c^2*d^2*g + 16*b*c*e^2*f - 31*c^2*d*e*f - 356*b*c*d*e*g))/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(20*b*e*g - 38*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^4*(156*b^2*e^2*g + 585*c^2*d^2*g + 20*b*c*e^2*f - 38*c^2*d*e*f - 604*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (32*c^3*(b*e - c*d)*(137*b^2*e^2*g + 548*c^2*d^2*g + 19*b*c*e^2*f - 37*c^2*d*e*f - 548*b*c*d*e*g))/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2194,1,33375,360,82.705797,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^9,x)","\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(5\,b\,e\,g-8\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{1376\,g\,b^2\,c^6\,e^2-4864\,g\,b\,c^7\,d\,e+640\,f\,b\,c^7\,e^2+4352\,g\,c^8\,d^2-1024\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(17\,g\,b^2\,e^2-68\,g\,b\,c\,d\,e+9\,f\,b\,c\,e^2+68\,g\,c^2\,d^2-16\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(15\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{2816\,g\,b^2\,c^6\,e^2-10304\,g\,b\,c^7\,d\,e+960\,f\,b\,c^7\,e^2+9472\,g\,c^8\,d^2-1664\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(37\,g\,b^2\,e^2-148\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+148\,g\,c^2\,d^2-26\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{3392\,g\,b^2\,c^6\,e^2-12480\,g\,b\,c^7\,d\,e+1088\,f\,b\,c^7\,e^2+11520\,g\,c^8\,d^2-1920\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(45\,g\,b^2\,e^2-180\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+180\,g\,c^2\,d^2-30\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(19\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{3968\,g\,b^2\,c^6\,e^2-14656\,g\,b\,c^7\,d\,e+1216\,f\,b\,c^7\,e^2+13568\,g\,c^8\,d^2-2176\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(53\,g\,b^2\,e^2-212\,g\,b\,c\,d\,e+18\,f\,b\,c\,e^2+212\,g\,c^2\,d^2-34\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(21\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{4544\,g\,b^2\,c^6\,e^2-16832\,g\,b\,c^7\,d\,e+1344\,f\,b\,c^7\,e^2+15616\,g\,c^8\,d^2-2432\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(61\,g\,b^2\,e^2-244\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+244\,g\,c^2\,d^2-38\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(23\,b\,e\,g-42\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{5120\,g\,b^2\,c^6\,e^2-19008\,g\,b\,c^7\,d\,e+1472\,f\,b\,c^7\,e^2+17664\,g\,c^8\,d^2-2688\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{32\,b\,c^5\,\left(69\,g\,b^2\,e^2-276\,g\,b\,c\,d\,e+22\,f\,b\,c\,e^2+276\,g\,c^2\,d^2-42\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(11\,b\,e\,g-20\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{5952\,g\,b^2\,c^6\,e^2-22400\,g\,b\,c^7\,d\,e+1408\,f\,b\,c^7\,e^2+21120\,g\,c^8\,d^2-2560\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(165\,g\,b^2\,e^2-660\,g\,b\,c\,d\,e+42\,f\,b\,c\,e^2+660\,g\,c^2\,d^2-80\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(12\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{6848\,g\,b^2\,c^6\,e^2-25856\,g\,b\,c^7\,d\,e+1536\,f\,b\,c^7\,e^2+24448\,g\,c^8\,d^2-2816\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(191\,g\,b^2\,e^2-764\,g\,b\,c\,d\,e+46\,f\,b\,c\,e^2+764\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(13\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{7744\,g\,b^2\,c^6\,e^2-29312\,g\,b\,c^7\,d\,e+1664\,f\,b\,c^7\,e^2+27776\,g\,c^8\,d^2-3072\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(217\,g\,b^2\,e^2-868\,g\,b\,c\,d\,e+50\,f\,b\,c\,e^2+868\,g\,c^2\,d^2-96\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(13\,b\,e\,g-24\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{8000\,g\,b^2\,c^6\,e^2-30336\,g\,b\,c^7\,d\,e+1664\,f\,b\,c^7\,e^2+28800\,g\,c^8\,d^2-3072\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(225\,g\,b^2\,e^2-900\,g\,b\,c\,d\,e+50\,f\,b\,c\,e^2+900\,g\,c^2\,d^2-96\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(14\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{8640\,g\,b^2\,c^6\,e^2-32768\,g\,b\,c^7\,d\,e+1792\,f\,b\,c^7\,e^2+31104\,g\,c^8\,d^2-3328\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(243\,g\,b^2\,e^2-972\,g\,b\,c\,d\,e+54\,f\,b\,c\,e^2+972\,g\,c^2\,d^2-104\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(14\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{9024\,g\,b^2\,c^6\,e^2-34304\,g\,b\,c^7\,d\,e+1792\,f\,b\,c^7\,e^2+32640\,g\,c^8\,d^2-3328\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(255\,g\,b^2\,e^2-1020\,g\,b\,c\,d\,e+54\,f\,b\,c\,e^2+1020\,g\,c^2\,d^2-104\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(15\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{10048\,g\,b^2\,c^6\,e^2-38272\,g\,b\,c^7\,d\,e+1920\,f\,b\,c^7\,e^2+36480\,g\,c^8\,d^2-3584\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(285\,g\,b^2\,e^2-1140\,g\,b\,c\,d\,e+58\,f\,b\,c\,e^2+1140\,g\,c^2\,d^2-112\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(15\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{10304\,g\,b^2\,c^6\,e^2-39296\,g\,b\,c^7\,d\,e+1920\,f\,b\,c^7\,e^2+37504\,g\,c^8\,d^2-3584\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(293\,g\,b^2\,e^2-1172\,g\,b\,c\,d\,e+58\,f\,b\,c\,e^2+1172\,g\,c^2\,d^2-112\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(16\,b\,e\,g-30\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{11456\,g\,b^2\,c^6\,e^2-43776\,g\,b\,c^7\,d\,e+2048\,f\,b\,c^7\,e^2+41856\,g\,c^8\,d^2-3840\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(327\,g\,b^2\,e^2-1308\,g\,b\,c\,d\,e+62\,f\,b\,c\,e^2+1308\,g\,c^2\,d^2-120\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^7\,\left(31\,b\,e\,g-58\,c\,d\,g+2\,c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{12000\,g\,b^2\,c^6\,e^2-46016\,g\,b\,c^7\,d\,e+1984\,f\,b\,c^7\,e^2+44160\,g\,c^8\,d^2-3712\,f\,c^8\,d\,e}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{16\,b\,c^5\,\left(345\,g\,b^2\,e^2-1380\,g\,b\,c\,d\,e+60\,f\,b\,c\,e^2+1380\,g\,c^2\,d^2-116\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(17\,b\,e\,g-32\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{12864\,g\,b^2\,c^6\,e^2-49280\,g\,b\,c^7\,d\,e+2176\,f\,b\,c^7\,e^2+47232\,g\,c^8\,d^2-4096\,f\,c^8\,d\,e}{135135\,e\,{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3\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(3\,b\,e\,g-4\,c\,d\,g+c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{26\,g\,b^2\,c^2\,e^2-80\,g\,b\,c^3\,d\,e+24\,f\,b\,c^3\,e^2+64\,g\,c^4\,d^2-32\,f\,c^4\,d\,e}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{2\,b\,c\,\left(4\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e+5\,f\,b\,c\,e^2+16\,g\,c^2\,d^2-8\,f\,c^2\,d\,e\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(19\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{156\,g\,b^2\,c^2\,e^2-548\,g\,b\,c^3\,d\,e+76\,f\,b\,c^3\,e^2+480\,g\,c^4\,d^2-136\,f\,c^4\,d\,e}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{4\,b\,c\,\left(15\,g\,b^2\,e^2-60\,g\,b\,c\,d\,e+9\,f\,b\,c\,e^2+60\,g\,c^2\,d^2-17\,f\,c^2\,d\,e\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{292\,g\,b^2\,c^3\,e^3-1040\,g\,b\,c^4\,d\,e^2+128\,f\,b\,c^4\,e^3+928\,g\,c^5\,d^2\,e-224\,f\,c^5\,d\,e^2}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{196\,g\,b^3\,c^2\,e^3-1044\,g\,b^2\,c^3\,d\,e^2+160\,f\,b^2\,c^3\,e^3+1824\,g\,b\,c^4\,d^2\,e-512\,f\,b\,c^4\,d\,e^2-1040\,g\,c^5\,d^3+400\,f\,c^5\,d^2\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(27\,b\,e\,g-50\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{952\,g\,b^2\,c^3\,e^3-3592\,g\,b\,c^4\,d\,e^2+216\,f\,b\,c^4\,e^3+3392\,g\,c^5\,d^2\,e-400\,f\,c^5\,d\,e^2}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{752\,g\,b^3\,c^2\,e^3-3600\,g\,b^2\,c^3\,d\,e^2+40\,f\,b^2\,c^3\,e^3+5376\,g\,b\,c^4\,d^2\,e+56\,f\,b\,c^4\,d\,e^2-2368\,g\,c^5\,d^3-256\,f\,c^5\,d^2\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(29\,b\,e\,g-54\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{1072\,g\,b^2\,c^3\,e^3-4056\,g\,b\,c^4\,d\,e^2+232\,f\,b\,c^4\,e^3+3840\,g\,c^5\,d^2\,e-432\,f\,c^5\,d\,e^2}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{1080\,g\,b^3\,c^2\,e^3-5880\,g\,b^2\,c^3\,d\,e^2+472\,f\,b^2\,c^3\,e^3+10560\,g\,b\,c^4\,d^2\,e-1656\,f\,b\,c^4\,d\,e^2-6240\,g\,c^5\,d^3+1440\,f\,c^5\,d^2\,e}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(15\,b\,e\,g-26\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{600\,g\,b^2\,c^4\,e^3-2160\,g\,b\,c^5\,d\,e^2+240\,f\,b\,c^5\,e^3+1952\,g\,c^6\,d^2\,e-416\,f\,c^6\,d\,e^2}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{452\,g\,b^3\,c^3\,e^3-2416\,g\,b^2\,c^4\,d\,e^2+304\,f\,b^2\,c^4\,e^3+4240\,g\,b\,c^5\,d^2\,e-976\,f\,b\,c^5\,d\,e^2-2432\,g\,c^6\,d^3+768\,f\,c^6\,d^2\,e}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(12\,b\,e\,g-22\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,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d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(9\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{340\,g\,b^2\,c^3\,e^2-1216\,g\,b\,c^4\,d\,e+144\,f\,b\,c^4\,e^2+1088\,g\,c^5\,d^2-256\,f\,c^5\,d\,e}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{4\,b\,c^2\,\left(34\,g\,b^2\,e^2-136\,g\,b\,c\,d\,e+17\,f\,b\,c\,e^2+136\,g\,c^2\,d^2-32\,f\,c^2\,d\,e\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(10\,b\,e\,g-18\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{388\,g\,b^2\,c^3\,e^2-1392\,g\,b\,c^4\,d\,e+160\,f\,b\,c^4\,e^2+1248\,g\,c^5\,d^2-288\,f\,c^5\,d\,e}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{4\,b\,c^2\,\left(39\,g\,b^2\,e^2-156\,g\,b\,c\,d\,e+19\,f\,b\,c\,e^2+156\,g\,c^2\,d^2-36\,f\,c^2\,d\,e\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e\,\left(31\,b\,e\,g-58\,c\,d\,g+2\,c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{1224\,g\,b^2\,c^3\,e^2-4648\,g\,b\,c^4\,d\,e+248\,f\,b\,c^4\,e^2+4416\,g\,c^5\,d^2-464\,f\,c^5\,d\,e}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{8\,b\,c^2\,\left(69\,g\,b^2\,e^2-276\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+276\,g\,c^2\,d^2-29\,f\,c^2\,d\,e\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(4\,b\,e\,g-6\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{208\,g\,b^2\,c^4\,e^2-704\,g\,b\,c^5\,d\,e+128\,f\,b\,c^5\,e^2+608\,g\,c^6\,d^2-192\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^3\,\left(19\,g\,b^2\,e^2-76\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+76\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{712\,g\,b^2\,c^4\,e^2-2576\,g\,b\,c^5\,d\,e+272\,f\,b\,c^5\,e^2+2336\,g\,c^6\,d^2-480\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^3\,\left(73\,g\,b^2\,e^2-292\,g\,b\,c\,d\,e+32\,f\,b\,c\,e^2+292\,g\,c^2\,d^2-60\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(19\,b\,e\,g-34\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{824\,g\,b^2\,c^4\,e^2-2992\,g\,b\,c^5\,d\,e+304\,f\,b\,c^5\,e^2+2720\,g\,c^6\,d^2-544\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^3\,\left(85\,g\,b^2\,e^2-340\,g\,b\,c\,d\,e+36\,f\,b\,c\,e^2+340\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(21\,b\,e\,g-38\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{936\,g\,b^2\,c^4\,e^2-3408\,g\,b\,c^5\,d\,e+336\,f\,b\,c^5\,e^2+3104\,g\,c^6\,d^2-608\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{4\,b\,c^3\,\left(97\,g\,b^2\,e^2-388\,g\,b\,c\,d\,e+40\,f\,b\,c\,e^2+388\,g\,c^2\,d^2-76\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(14\,b\,e\,g-26\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{2120\,g\,b^2\,c^4\,e^2-8032\,g\,b\,c^5\,d\,e+448\,f\,b\,c^5\,e^2+7616\,g\,c^6\,d^2-832\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^3\,\left(119\,g\,b^2\,e^2-476\,g\,b\,c\,d\,e+27\,f\,b\,c\,e^2+476\,g\,c^2\,d^2-52\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(15\,b\,e\,g-28\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{2376\,g\,b^2\,c^4\,e^2-9024\,g\,b\,c^5\,d\,e+480\,f\,b\,c^5\,e^2+8576\,g\,c^6\,d^2-896\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^3\,\left(134\,g\,b^2\,e^2-536\,g\,b\,c\,d\,e+29\,f\,b\,c\,e^2+536\,g\,c^2\,d^2-56\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(16\,b\,e\,g-30\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{2696\,g\,b^2\,c^4\,e^2-10272\,g\,b\,c^5\,d\,e+512\,f\,b\,c^5\,e^2+9792\,g\,c^6\,d^2-960\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{8\,b\,c^3\,\left(153\,g\,b^2\,e^2-612\,g\,b\,c\,d\,e+31\,f\,b\,c\,e^2+612\,g\,c^2\,d^2-60\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e\,\left(41\,b\,e\,g-78\,c\,d\,g+2\,c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{4928\,g\,b^2\,c^4\,e^2-19056\,g\,b\,c^5\,d\,e+656\,f\,b\,c^5\,e^2+18432\,g\,c^6\,d^2-1248\,f\,c^6\,d\,e}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{16\,b\,c^3\,\left(144\,g\,b^2\,e^2-576\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+576\,g\,c^2\,d^2-39\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(9\,b\,e\,g-14\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{544\,g\,b^2\,c^5\,e^2-1888\,g\,b\,c^6\,d\,e+288\,f\,b\,c^6\,e^2+1664\,g\,c^7\,d^2-448\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^4\,\left(13\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e+8\,f\,b\,c\,e^2+52\,g\,c^2\,d^2-14\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(8\,b\,e\,g-14\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1440\,g\,b^2\,c^5\,e^2-5248\,g\,b\,c^6\,d\,e+512\,f\,b\,c^6\,e^2+4800\,g\,c^7\,d^2-896\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^4\,\left(75\,g\,b^2\,e^2-300\,g\,b\,c\,d\,e+30\,f\,b\,c\,e^2+300\,g\,c^2\,d^2-56\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(9\,b\,e\,g-16\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{1696\,g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c{d\,\left(\frac{32\,c^6\,e\,\left(31\,b\,e\,g-58\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{5232\,g\,b^2\,c^5\,e^2-19936\,g\,b\,c^6\,d\,e+992\,f\,b\,c^6\,e^2+19008\,g\,c^7\,d^2-1856\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^4\,\left(297\,g\,b^2\,e^2-1188\,g\,b\,c\,d\,e+60\,f\,b\,c\,e^2+1188\,g\,c^2\,d^2-116\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(33\,b\,e\,g-62\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{5904\,g\,b^2\,c^5\,e^2-22560\,g\,b\,c^6\,d\,e+1056\,f\,b\,c^6\,e^2+21568\,g\,c^7\,d^2-1984\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8\,b\,c^4\,\left(337\,g\,b^2\,e^2-1348\,g\,b\,c\,d\,e+64\,f\,b\,c\,e^2+1348\,g\,c^2\,d^2-124\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(18\,b\,e\,g-34\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{7824\,g\,b^2\,c^5\,e^2-30144\,g\,b\,c^6\,d\,e+1152\,f\,b\,c^6\,e^2+29056\,g\,c^7\,d^2-2176\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^4\,\left(227\,g\,b^2\,e^2-908\,g\,b\,c\,d\,e+35\,f\,b\,c\,e^2+908\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(19\,b\,e\,g-36\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{8592\,g\,b^2\,c^5\,e^2-33152\,g\,b\,c^6\,d\,e+1216\,f\,b\,c^6\,e^2+32000\,g\,c^7\,d^2-2304\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^4\,\left(250\,g\,b^2\,e^2-1000\,g\,b\,c\,d\,e+37\,f\,b\,c\,e^2+1000\,g\,c^2\,d^2-72\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(20\,b\,e\,g-38\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{9488\,g\,b^2\,c^5\,e^2-36672\,g\,b\,c^6\,d\,e+1280\,f\,b\,c^6\,e^2+35456\,g\,c^7\,d^2-2432\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^4\,\left(277\,g\,b^2\,e^2-1108\,g\,b\,c\,d\,e+39\,f\,b\,c\,e^2+1108\,g\,c^2\,d^2-76\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(21\,b\,e\,g-40\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{10512\,g\,b^2\,c^5\,e^2-40704\,g\,b\,c^6\,d\,e+1344\,f\,b\,c^6\,e^2+39424\,g\,c^7\,d^2-2560\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{16\,b\,c^4\,\left(308\,g\,b^2\,e^2-1232\,g\,b\,c\,d\,e+41\,f\,b\,c\,e^2+1232\,g\,c^2\,d^2-80\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(49\,b\,e\,g-94\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{15104\,g\,b^2\,c^5\,e^2-58848\,g\,b\,c^6\,d\,e+1568\,f\,b\,c^6\,e^2+57344\,g\,c^7\,d^2-3008\,f\,c^7\,d\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{32\,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c{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(41\,b\,e\,g-78\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^5\,\left(332\,g\,b^2\,e^2-1287\,g\,b\,c\,d\,e+41\,f\,b\,c\,e^2+1248\,g\,c^2\,d^2-78\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{-9376\,g\,b^3\,c^4\,e^3+43040\,g\,b^2\,c^5\,d\,e^2+2592\,f\,b^2\,c^5\,e^3-59648\,g\,b\,c^6\,d^2\,e-11680\,f\,b\,c^6\,d\,e^2+22144\,g\,c^7\,d^3+12928\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(17\,b\,e\,g-32\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^5\,\left(433\,g\,b^2\,e^2-1664\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+1600\,g\,c^2\,d^2-128\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{8912\,g\,b^3\,c^4\,e^3-48368\,g\,b^2\,c^5\,d\,e^2+1824\,f\,b^2\,c^5\,e^3+86528\,g\,b\,c^6\,d^2\,e-6208\,f\,b\,c^6\,d\,e^2-50880\,g\,c^7\,d^3+5184\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(18\,b\,e\,g-34\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^5\,\left(477\,g\,b^2\,e^2-1836\,g\,b\,c\,d\,e+72\,f\,b\,c\,e^2+1768\,g\,c^2\,d^2-136\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{9968\,g\,b^3\,c^4\,e^3-54128\,g\,b^2\,c^5\,d\,e^2+1952\,f\,b^2\,c^5\,e^3+96896\,g\,b\,c^6\,d^2\,e-6656\,f\,b\,c^6\,d\,e^2-57024\,g\,c^7\,d^3+5568\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(19\,b\,e\,g-36\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{16\,c^5\,\left(529\,g\,b^2\,e^2-2040\,g\,b\,c\,d\,e+76\,f\,b\,c\,e^2+1968\,g\,c^2\,d^2-144\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{11280\,g\,b^3\,c^4\,e^3-61296\,g\,b^2\,c^5\,d\,e^2+2080\,f\,b^2\,c^5\,e^3+109824\,g\,b\,c^6\,d^2\,e-7104\,f\,b\,c^6\,d\,e^2-64704\,g\,c^7\,d^3+5952\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(43\,b\,e\,g-82\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^5\,\left(361\,g\,b^2\,e^2-1401\,g\,b\,c\,d\,e+43\,f\,b\,c\,e^2+1360\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{15616\,g\,b^3\,c^4\,e^3-89600\,g\,b^2\,c^5\,d\,e^2+7456\,f\,b^2\,c^5\,e^3+171008\,g\,b\,c^6\,d^2\,e-28448\,f\,b\,c^6\,d\,e^2-108544\,g\,c^7\,d^3+27136\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e\,\left(47\,b\,e\,g-90\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^5\,\left(431\,g\,b^2\,e^2-1677\,g\,b\,c\,d\,e+47\,f\,b\,c\,e^2+1632\,g\,c^2\,d^2-90\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{20352\,g\,b^3\,c^4\,e^3-110976\,g\,b^2\,c^5\,d\,e^2+2656\,f\,b^2\,c^5\,e^3+199680\,g\,b\,c^6\,d^2\,e-9120\,f\,b\,c^6\,d\,e^2-118272\,g\,c^7\,d^3+7680\,f\,c^7\,d^2\,e}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{128\,c^7\,\left(29\,b\,e\,g-56\,c\,d\,g+c\,e\,f\right)}{135135\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{128\,c^8\,d\,g}{135135\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{128\,c^6\,\left(350\,g\,b^2\,e^2-1371\,g\,b\,c\,d\,e+29\,f\,b\,c\,e^2+1343\,g\,c^2\,d^2-56\,f\,c^2\,d\,e\right)}{135135\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{128\,c^5\,\left(b\,e-c\,d\right)\,\left(322\,g\,b^2\,e^2-1288\,g\,b\,c\,d\,e+28\,f\,b\,c\,e^2+1288\,g\,c^2\,d^2-55\,f\,c^2\,d\,e\right)}{135135\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^2}{13\,b\,e^2-26\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c\,e\,\left(2\,b\,e\,g-2\,c\,d\,g+c\,e\,f\right)}{13\,b\,e^2-26\,c\,d\,e}-\frac{2\,c^2\,d\,e\,g}{13\,b\,e^2-26\,c\,d\,e}\right)}{e}-\frac{2\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+2\,c\,e\,f\right)}{13\,b\,e^2-26\,c\,d\,e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^7}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e\,\left(17\,b\,e\,g-30\,c\,d\,g+2\,c\,e\,f\right)}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^4\,d\,e\,g}{143\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{136\,g\,b^2\,c^2\,e^3-476\,g\,b\,c^3\,d\,e^2+68\,f\,b\,c^3\,e^3+416\,g\,c^4\,d^2\,e-120\,f\,c^4\,d\,e^2}{143\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{76\,g\,b^3\,c\,e^3-400\,g\,b^2\,c^2\,d\,e^2+80\,f\,b^2\,c^2\,e^3+688\,g\,b\,c^3\,d^2\,e-252\,f\,b\,c^3\,d\,e^2-384\,g\,c^4\,d^3+192\,f\,c^4\,d^2\,e}{143\,e\,\left(9\,b\,e^2-18\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,e\,\left(20\,b\,e\,g-38\,c\,d\,g+c\,e\,f\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^5\,d\,e\,g}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^3\,\left(144\,g\,b^2\,e^2-556\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+537\,g\,c^2\,d^2-38\,f\,c^2\,d\,e\right)}{1287\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(125\,g\,b^2\,e^2-500\,g\,b\,c\,d\,e+19\,f\,b\,c\,e^2+500\,g\,c^2\,d^2-37\,f\,c^2\,d\,e\right)}{1287\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,e\,\left(24\,b\,e\,g-46\,c\,d\,g+c\,e\,f\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^6\,d\,e\,g}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{32\,c^4\,\left(224\,g\,b^2\,e^2-872\,g\,b\,c\,d\,e+24\,f\,b\,c\,e^2+849\,g\,c^2\,d^2-46\,f\,c^2\,d\,e\right)}{9009\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(201\,g\,b^2\,e^2-804\,g\,b\,c\,d\,e+23\,f\,b\,c\,e^2+804\,g\,c^2\,d^2-45\,f\,c^2\,d\,e\right)}{9009\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{64\,c^6\,e\,\left(27\,b\,e\,g-52\,c\,d\,g+c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^7\,d\,e\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{64\,c^5\,\left(296\,g\,b^2\,e^2-1157\,g\,b\,c\,d\,e+27\,f\,b\,c\,e^2+1131\,g\,c^2\,d^2-52\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{64\,c^4\,\left(b\,e-c\,d\right)\,\left(270\,g\,b^2\,e^2-1080\,g\,b\,c\,d\,e+26\,f\,b\,c\,e^2+1080\,g\,c^2\,d^2-51\,f\,c^2\,d\,e\right)}{45045\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((d*((128*c^7*(5*b*e*g - 8*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (4352*c^8*d^2*g + 1376*b^2*c^6*e^2*g - 1024*c^8*d*e*f + 640*b*c^7*e^2*f - 4864*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(17*b^2*e^2*g + 68*c^2*d^2*g + 9*b*c*e^2*f - 16*c^2*d*e*f - 68*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (9472*c^8*d^2*g + 2816*b^2*c^6*e^2*g - 1664*c^8*d*e*f + 960*b*c^7*e^2*f - 10304*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(37*b^2*e^2*g + 148*c^2*d^2*g + 14*b*c*e^2*f - 26*c^2*d*e*f - 148*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (11520*c^8*d^2*g + 3392*b^2*c^6*e^2*g - 1920*c^8*d*e*f + 1088*b*c^7*e^2*f - 12480*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(45*b^2*e^2*g + 180*c^2*d^2*g + 16*b*c*e^2*f - 30*c^2*d*e*f - 180*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (13568*c^8*d^2*g + 3968*b^2*c^6*e^2*g - 2176*c^8*d*e*f + 1216*b*c^7*e^2*f - 14656*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(53*b^2*e^2*g + 212*c^2*d^2*g + 18*b*c*e^2*f - 34*c^2*d*e*f - 212*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (15616*c^8*d^2*g + 4544*b^2*c^6*e^2*g - 2432*c^8*d*e*f + 1344*b*c^7*e^2*f - 16832*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(61*b^2*e^2*g + 244*c^2*d^2*g + 20*b*c*e^2*f - 38*c^2*d*e*f - 244*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (17664*c^8*d^2*g + 5120*b^2*c^6*e^2*g - 2688*c^8*d*e*f + 1472*b*c^7*e^2*f - 19008*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(69*b^2*e^2*g + 276*c^2*d^2*g + 22*b*c*e^2*f - 42*c^2*d*e*f - 276*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(11*b*e*g - 20*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (21120*c^8*d^2*g + 5952*b^2*c^6*e^2*g - 2560*c^8*d*e*f + 1408*b*c^7*e^2*f - 22400*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(165*b^2*e^2*g + 660*c^2*d^2*g + 42*b*c*e^2*f - 80*c^2*d*e*f - 660*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(12*b*e*g - 22*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (24448*c^8*d^2*g + 6848*b^2*c^6*e^2*g - 2816*c^8*d*e*f + 1536*b*c^7*e^2*f - 25856*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(191*b^2*e^2*g + 764*c^2*d^2*g + 46*b*c*e^2*f - 88*c^2*d*e*f - 764*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(13*b*e*g - 24*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (27776*c^8*d^2*g + 7744*b^2*c^6*e^2*g - 3072*c^8*d*e*f + 1664*b*c^7*e^2*f - 29312*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(217*b^2*e^2*g + 868*c^2*d^2*g + 50*b*c*e^2*f - 96*c^2*d*e*f - 868*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(13*b*e*g - 24*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (28800*c^8*d^2*g + 8000*b^2*c^6*e^2*g - 3072*c^8*d*e*f + 1664*b*c^7*e^2*f - 30336*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(225*b^2*e^2*g + 900*c^2*d^2*g + 50*b*c*e^2*f - 96*c^2*d*e*f - 900*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(14*b*e*g - 26*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (31104*c^8*d^2*g + 8640*b^2*c^6*e^2*g - 3328*c^8*d*e*f + 1792*b*c^7*e^2*f - 32768*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(243*b^2*e^2*g + 972*c^2*d^2*g + 54*b*c*e^2*f - 104*c^2*d*e*f - 972*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(14*b*e*g - 26*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32640*c^8*d^2*g + 9024*b^2*c^6*e^2*g - 3328*c^8*d*e*f + 1792*b*c^7*e^2*f - 34304*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(255*b^2*e^2*g + 1020*c^2*d^2*g + 54*b*c*e^2*f - 104*c^2*d*e*f - 1020*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(15*b*e*g - 28*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (36480*c^8*d^2*g + 10048*b^2*c^6*e^2*g - 3584*c^8*d*e*f + 1920*b*c^7*e^2*f - 38272*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(285*b^2*e^2*g + 1140*c^2*d^2*g + 58*b*c*e^2*f - 112*c^2*d*e*f - 1140*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(15*b*e*g - 28*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (37504*c^8*d^2*g + 10304*b^2*c^6*e^2*g - 3584*c^8*d*e*f + 1920*b*c^7*e^2*f - 39296*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(293*b^2*e^2*g + 1172*c^2*d^2*g + 58*b*c*e^2*f - 112*c^2*d*e*f - 1172*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(16*b*e*g - 30*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (41856*c^8*d^2*g + 11456*b^2*c^6*e^2*g - 3840*c^8*d*e*f + 2048*b*c^7*e^2*f - 43776*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(327*b^2*e^2*g + 1308*c^2*d^2*g + 62*b*c*e^2*f - 120*c^2*d*e*f - 1308*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (44160*c^8*d^2*g + 12000*b^2*c^6*e^2*g - 3712*c^8*d*e*f + 1984*b*c^7*e^2*f - 46016*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(345*b^2*e^2*g + 1380*c^2*d^2*g + 60*b*c*e^2*f - 116*c^2*d*e*f - 1380*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(17*b*e*g - 32*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (47232*c^8*d^2*g + 12864*b^2*c^6*e^2*g - 4096*c^8*d*e*f + 2176*b*c^7*e^2*f - 49280*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(369*b^2*e^2*g + 1476*c^2*d^2*g + 66*b*c*e^2*f - 128*c^2*d*e*f - 1476*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (49280*c^8*d^2*g + 13344*b^2*c^6*e^2*g - 3968*c^8*d*e*f + 2112*b*c^7*e^2*f - 51264*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(385*b^2*e^2*g + 1540*c^2*d^2*g + 64*b*c*e^2*f - 124*c^2*d*e*f - 1540*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (54400*c^8*d^2*g + 14688*b^2*c^6*e^2*g - 4224*c^8*d*e*f + 2240*b*c^7*e^2*f - 56512*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(425*b^2*e^2*g + 1700*c^2*d^2*g + 68*b*c*e^2*f - 132*c^2*d*e*f - 1700*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (55424*c^8*d^2*g + 14944*b^2*c^6*e^2*g - 4224*c^8*d*e*f + 2240*b*c^7*e^2*f - 57536*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(433*b^2*e^2*g + 1732*c^2*d^2*g + 68*b*c*e^2*f - 132*c^2*d*e*f - 1732*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(37*b*e*g - 70*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (61056*c^8*d^2*g + 16416*b^2*c^6*e^2*g - 4480*c^8*d*e*f + 2368*b*c^7*e^2*f - 63296*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(477*b^2*e^2*g + 1908*c^2*d^2*g + 72*b*c*e^2*f - 140*c^2*d*e*f - 1908*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(37*b*e*g - 70*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (62592*c^8*d^2*g + 16800*b^2*c^6*e^2*g - 4480*c^8*d*e*f + 2368*b*c^7*e^2*f - 64832*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(489*b^2*e^2*g + 1956*c^2*d^2*g + 72*b*c*e^2*f - 140*c^2*d*e*f - 1956*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(39*b*e*g - 74*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (67712*c^8*d^2*g + 18144*b^2*c^6*e^2*g - 4736*c^8*d*e*f + 2496*b*c^7*e^2*f - 70080*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(529*b^2*e^2*g + 2116*c^2*d^2*g + 76*b*c*e^2*f - 148*c^2*d*e*f - 2116*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(39*b*e*g - 74*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (68736*c^8*d^2*g + 18400*b^2*c^6*e^2*g - 4736*c^8*d*e*f + 2496*b*c^7*e^2*f - 71104*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(537*b^2*e^2*g + 2148*c^2*d^2*g + 76*b*c*e^2*f - 148*c^2*d*e*f - 2148*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(41*b*e*g - 78*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (75904*c^8*d^2*g + 20256*b^2*c^6*e^2*g - 4992*c^8*d*e*f + 2624*b*c^7*e^2*f - 78400*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(593*b^2*e^2*g + 2372*c^2*d^2*g + 80*b*c*e^2*f - 156*c^2*d*e*f - 2372*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(21*b*e*g - 40*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (84992*c^8*d^2*g + 22560*b^2*c^6*e^2*g - 5120*c^8*d*e*f + 2688*b*c^7*e^2*f - 87552*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(332*b^2*e^2*g + 1328*c^2*d^2*g + 41*b*c*e^2*f - 80*c^2*d*e*f - 1328*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(43*b*e*g - 82*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (84096*c^8*d^2*g + 22368*b^2*c^6*e^2*g - 5248*c^8*d*e*f + 2752*b*c^7*e^2*f - 86720*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (16*b*c^5*(657*b^2*e^2*g + 2628*c^2*d^2*g + 84*b*c*e^2*f - 164*c^2*d*e*f - 2628*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(22*b*e*g - 42*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (92416*c^8*d^2*g + 24480*b^2*c^6*e^2*g - 5376*c^8*d*e*f + 2816*b*c^7*e^2*f - 95104*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(361*b^2*e^2*g + 1444*c^2*d^2*g + 43*b*c*e^2*f - 84*c^2*d*e*f - 1444*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(23*b*e*g - 44*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (100864*c^8*d^2*g + 26656*b^2*c^6*e^2*g - 5632*c^8*d*e*f + 2944*b*c^7*e^2*f - 103680*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(394*b^2*e^2*g + 1576*c^2*d^2*g + 45*b*c*e^2*f - 88*c^2*d*e*f - 1576*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(24*b*e*g - 46*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (110336*c^8*d^2*g + 29088*b^2*c^6*e^2*g - 5888*c^8*d*e*f + 3072*b*c^7*e^2*f - 113280*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(431*b^2*e^2*g + 1724*c^2*d^2*g + 47*b*c*e^2*f - 92*c^2*d*e*f - 1724*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((128*c^7*(25*b*e*g - 48*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (120832*c^8*d^2*g + 31776*b^2*c^6*e^2*g - 6144*c^8*d*e*f + 3200*b*c^7*e^2*f - 123904*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (32*b*c^5*(472*b^2*e^2*g + 1888*c^2*d^2*g + 49*b*c*e^2*f - 96*c^2*d*e*f - 1888*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((64*c^7*(55*b*e*g - 106*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (151552*c^8*d^2*g + 39616*b^2*c^6*e^2*g - 6784*c^8*d*e*f + 3520*b*c^7*e^2*f - 154944*b*c^7*d*e*g)/(135135*e*(b*e - 2*c*d)^7)))/e + (64*b*c^5*(296*b^2*e^2*g + 1184*c^2*d^2*g + 27*b*c*e^2*f - 53*c^2*d*e*f - 1184*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((8*c^3*e*(15*b*e*g - 28*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (552*b^2*c^2*e^3*g + 120*b*c^3*e^3*f - 224*c^4*d*e^2*f + 1976*c^4*d^2*e*g - 2088*b*c^3*d*e^2*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (8*c*(b*e - c*d)*(55*b^2*e^2*g + 220*c^2*d^2*g + 14*b*c*e^2*f - 27*c^2*d*e*f - 220*b*c*d*e*g))/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((8*c^3*e*(3*b*e*g - 4*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (64*c^4*d^2*g + 26*b^2*c^2*e^2*g - 32*c^4*d*e*f + 24*b*c^3*e^2*f - 80*b*c^3*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (2*b*c*(4*b^2*e^2*g + 16*c^2*d^2*g + 5*b*c*e^2*f - 8*c^2*d*e*f - 16*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((d*((4*c^3*e*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (480*c^4*d^2*g + 156*b^2*c^2*e^2*g - 136*c^4*d*e*f + 76*b*c^3*e^2*f - 548*b*c^3*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (4*b*c*(15*b^2*e^2*g + 60*c^2*d^2*g + 9*b*c*e^2*f - 17*c^2*d*e*f - 60*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((16*c^4*e*(8*b*e*g - 14*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (292*b^2*c^3*e^3*g + 128*b*c^4*e^3*f - 224*c^5*d*e^2*f + 928*c^5*d^2*e*g - 1040*b*c^4*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (160*b^2*c^3*e^3*f - 1040*c^5*d^3*g + 196*b^3*c^2*e^3*g + 400*c^5*d^2*e*f - 512*b*c^4*d*e^2*f + 1824*b*c^4*d^2*e*g - 1044*b^2*c^3*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((8*c^4*e*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (952*b^2*c^3*e^3*g + 216*b*c^4*e^3*f - 400*c^5*d*e^2*f + 3392*c^5*d^2*e*g - 3592*b*c^4*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (40*b^2*c^3*e^3*f - 2368*c^5*d^3*g + 752*b^3*c^2*e^3*g - 256*c^5*d^2*e*f + 56*b*c^4*d*e^2*f + 5376*b*c^4*d^2*e*g - 3600*b^2*c^3*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((8*c^4*e*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (1072*b^2*c^3*e^3*g + 232*b*c^4*e^3*f - 432*c^5*d*e^2*f + 3840*c^5*d^2*e*g - 4056*b*c^4*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (472*b^2*c^3*e^3*f - 6240*c^5*d^3*g + 1080*b^3*c^2*e^3*g + 1440*c^5*d^2*e*f - 1656*b*c^4*d*e^2*f + 10560*b*c^4*d^2*e*g - 5880*b^2*c^3*d*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((16*c^5*e*(15*b*e*g - 26*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (600*b^2*c^4*e^3*g + 240*b*c^5*e^3*f - 416*c^6*d*e^2*f + 1952*c^6*d^2*e*g - 2160*b*c^5*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (304*b^2*c^4*e^3*f - 2432*c^6*d^3*g + 452*b^3*c^3*e^3*g + 768*c^6*d^2*e*f - 976*b*c^5*d*e^2*f + 4240*b*c^5*d^2*e*g - 2416*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(12*b*e*g - 22*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (1608*b^2*c^4*e^3*g + 384*b*c^5*e^3*f - 704*c^6*d*e^2*f + 5696*c^6*d^2*e*g - 6048*b*c^5*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (64*b^2*c^4*e^3*f - 3104*c^6*d^3*g + 1160*b^3*c^3*e^3*g - 480*c^6*d^2*e*f + 128*b*c^5*d*e^2*f + 7744*b*c^5*d^2*e*g - 5416*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(13*b*e*g - 24*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (1832*b^2*c^4*e^3*g + 416*b*c^5*e^3*f - 768*c^6*d*e^2*f + 6528*c^6*d^2*e*g - 6912*b*c^5*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (744*b^2*c^4*e^3*f - 10880*c^6*d^3*g + 1904*b^3*c^3*e^3*g + 2176*c^6*d^2*e*f - 2560*b*c^5*d*e^2*f + 18496*b*c^5*d^2*e*g - 10336*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(14*b*e*g - 26*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2056*b^2*c^4*e^3*g + 448*b*c^5*e^3*f - 832*c^6*d*e^2*f + 7360*c^6*d^2*e*g - 7776*b*c^5*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (824*b^2*c^4*e^3*f - 12416*c^6*d^3*g + 2168*b^3*c^3*e^3*g + 2432*c^6*d^2*e*f - 2848*b*c^5*d*e^2*f + 21088*b*c^5*d^2*e*g - 11776*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((896*b^2*c^6*e^3*f - 8704*c^8*d^3*g + 1760*b^3*c^5*e^3*g + 2048*c^8*d^2*e*f - 2752*b*c^7*d*e^2*f + 15744*b*c^7*d^2*e*g - 9216*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(13*b*e*g - 22*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(35*b^2*e^2*g + 116*c^2*d^2*g + 13*b*c*e^2*f - 22*c^2*d*e*f - 127*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((704*b^2*c^6*e^3*f - 8960*c^8*d^3*g + 2848*b^3*c^5*e^3*g + 640*c^8*d^2*e*f - 1664*b*c^7*d*e^2*f + 20352*b*c^7*d^2*e*g - 13632*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(9*b*e*g - 16*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(65*b^2*e^2*g + 226*c^2*d^2*g + 18*b*c*e^2*f - 32*c^2*d*e*f - 242*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((14720*c^8*d^3*g - 704*b^2*c^6*e^3*f - 6016*b^3*c^5*e^3*g + 512*c^8*d^2*e*f + 1088*b*c^7*d*e^2*f - 38784*b*c^7*d^2*e*g + 27744*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((64*c^7*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(283*b^2*e^2*g + 1028*c^2*d^2*g + 54*b*c*e^2*f - 100*c^2*d*e*f - 1078*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((16000*c^8*d^3*g - 704*b^2*c^6*e^3*f - 6720*b^3*c^5*e^3*g + 768*c^8*d^2*e*f + 960*b*c^7*d*e^2*f - 42880*b*c^7*d^2*e*g + 30880*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((64*c^7*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(317*b^2*e^2*g + 1156*c^2*d^2*g + 58*b*c*e^2*f - 108*c^2*d*e*f - 1210*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1568*b^2*c^6*e^3*f - 23040*c^8*d^3*g + 4560*b^3*c^5*e^3*g + 3840*c^8*d^2*e*f - 4992*b*c^7*d*e^2*f + 41280*b*c^7*d^2*e*g - 24000*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(10*b*e*g - 18*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(77*b^2*e^2*g + 270*c^2*d^2*g + 20*b*c*e^2*f - 36*c^2*d*e*f - 288*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((17280*c^8*d^3*g - 704*b^2*c^6*e^3*f - 7424*b^3*c^5*e^3*g + 1024*c^8*d^2*e*f + 832*b*c^7*d*e^2*f - 46976*b*c^7*d^2*e*g + 34016*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((64*c^7*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(351*b^2*e^2*g + 1284*c^2*d^2*g + 62*b*c*e^2*f - 116*c^2*d*e*f - 1342*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((9088*c^8*d^3*g - 704*b^2*c^6*e^3*f - 9888*b^3*c^5*e^3*g + 1920*c^8*d^2*e*f + 384*b*c^7*d*e^2*f - 48640*b*c^7*d^2*e*g + 41824*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((128*c^7*(19*b*e*g - 36*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(569*b^2*e^2*g + 2128*c^2*d^2*g + 76*b*c*e^2*f - 144*c^2*d*e*f - 2200*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1760*b^2*c^6*e^3*f - 27136*c^8*d^3*g + 5360*b^3*c^5*e^3*g + 4352*c^8*d^2*e*f - 5632*b*c^7*d*e^2*f + 48576*b*c^7*d^2*e*g - 28224*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(11*b*e*g - 20*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(89*b^2*e^2*g + 314*c^2*d^2*g + 22*b*c*e^2*f - 40*c^2*d*e*f - 334*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((8064*c^8*d^3*g - 704*b^2*c^6*e^3*f - 10592*b^3*c^5*e^3*g + 2176*c^8*d^2*e*f + 256*b*c^7*d*e^2*f - 50432*b*c^7*d^2*e*g + 44384*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((128*c^7*(20*b*e*g - 38*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(621*b^2*e^2*g + 2328*c^2*d^2*g + 80*b*c*e^2*f - 152*c^2*d*e*f - 2404*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((6016*c^8*d^3*g - 704*b^2*c^6*e^3*f - 11296*b^3*c^5*e^3*g + 2432*c^8*d^2*e*f + 128*b*c^7*d*e^2*f - 51200*b*c^7*d^2*e*g + 46688*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((128*c^7*(21*b*e*g - 40*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(681*b^2*e^2*g + 2560*c^2*d^2*g + 84*b*c*e^2*f - 160*c^2*d*e*f - 2640*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((15872*c^8*d^3*g + 704*b^2*c^6*e^3*f + 14464*b^3*c^5*e^3*g - 3584*c^8*d^2*e*f + 448*b*c^7*d*e^2*f + 41984*b*c^7*d^2*e*g - 53888*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(51*b*e*g - 98*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(525*b^2*e^2*g + 2000*c^2*d^2*g + 51*b*c*e^2*f - 98*c^2*d*e*f - 2049*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((1952*b^2*c^6*e^3*f - 31232*c^8*d^3*g + 6160*b^3*c^5*e^3*g + 4864*c^8*d^2*e*f - 6272*b*c^7*d*e^2*f + 55872*b*c^7*d^2*e*g - 32448*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(12*b*e*g - 22*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(101*b^2*e^2*g + 358*c^2*d^2*g + 24*b*c*e^2*f - 44*c^2*d*e*f - 380*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2240*b^2*c^6*e^3*f - 32896*c^8*d^3*g + 6976*b^3*c^5*e^3*g + 5888*c^8*d^2*e*f - 7360*b*c^7*d*e^2*f + 60800*b*c^7*d^2*e*g - 36128*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(249*b^2*e^2*g + 900*c^2*d^2*g + 50*b*c*e^2*f - 92*c^2*d*e*f - 946*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2144*b^2*c^6*e^3*f - 35328*c^8*d^3*g + 6960*b^3*c^5*e^3*g + 5376*c^8*d^2*e*f - 6912*b*c^7*d*e^2*f + 63168*b*c^7*d^2*e*g - 36672*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(13*b*e*g - 24*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(113*b^2*e^2*g + 402*c^2*d^2*g + 26*b*c*e^2*f - 48*c^2*d*e*f - 426*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((35968*c^8*d^3*g + 256*b^2*c^6*e^3*f - 12064*b^3*c^5*e^3*g + 5248*c^8*d^2*e*f - 3200*b*c^7*d*e^2*f - 84224*b*c^7*d^2*e*g + 57248*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((d*((128*c^7*(17*b*e*g - 32*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(465*b^2*e^2*g + 1728*c^2*d^2*g + 68*b*c*e^2*f - 128*c^2*d*e*f - 1792*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((32256*c^8*d^3*g - 9408*b^2*c^6*e^3*f + 14976*b^3*c^5*e^3*g - 43520*c^8*d^2*e*f + 40640*b*c^7*d*e^2*f + 27648*b*c^7*d^2*e*g - 51840*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(47*b*e*g - 90*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(447*b^2*e^2*g + 1696*c^2*d^2*g + 47*b*c*e^2*f - 90*c^2*d*e*f - 1741*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2432*b^2*c^6*e^3*f - 57600*c^8*d^3*g + 11184*b^3*c^5*e^3*g + 6144*c^8*d^2*e*f - 7872*b*c^7*d*e^2*f + 102336*b*c^7*d^2*e*g - 59136*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(325*b^2*e^2*g + 1188*c^2*d^2*g + 58*b*c*e^2*f - 108*c^2*d*e*f - 1242*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2624*b^2*c^6*e^3*f - 65280*c^8*d^3*g + 12656*b^3*c^5*e^3*g + 6656*c^8*d^2*e*f - 8512*b*c^7*d*e^2*f + 115904*b*c^7*d^2*e*g - 66944*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(363*b^2*e^2*g + 1332*c^2*d^2*g + 62*b*c*e^2*f - 116*c^2*d*e*f - 1390*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2816*b^2*c^6*e^3*f - 72960*c^8*d^3*g + 14128*b^3*c^5*e^3*g + 7168*c^8*d^2*e*f - 9152*b*c^7*d*e^2*f + 129472*b*c^7*d^2*e*g - 74752*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(401*b^2*e^2*g + 1476*c^2*d^2*g + 66*b*c*e^2*f - 124*c^2*d*e*f - 1538*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2816*b^2*c^6*e^3*f - 75008*c^8*d^3*g + 14512*b^3*c^5*e^3*g + 7168*c^8*d^2*e*f - 9152*b*c^7*d*e^2*f + 133056*b*c^7*d^2*e*g - 76800*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(409*b^2*e^2*g + 1508*c^2*d^2*g + 66*b*c*e^2*f - 124*c^2*d*e*f - 1570*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((3008*b^2*c^6*e^3*f - 83712*c^8*d^3*g + 16176*b^3*c^5*e^3*g + 7680*c^8*d^2*e*f - 9792*b*c^7*d*e^2*f + 148416*b*c^7*d^2*e*g - 85632*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(451*b^2*e^2*g + 1668*c^2*d^2*g + 70*b*c*e^2*f - 132*c^2*d*e*f - 1734*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((3200*b^2*c^6*e^3*f - 94464*c^8*d^3*g + 18224*b^3*c^5*e^3*g + 8192*c^8*d^2*e*f - 10432*b*c^7*d*e^2*f + 167360*b*c^7*d^2*e*g - 96512*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(37*b*e*g - 70*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(501*b^2*e^2*g + 1860*c^2*d^2*g + 74*b*c*e^2*f - 140*c^2*d*e*f - 1930*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((5056*b^2*c^6*e^3*f - 97664*c^8*d^3*g + 17888*b^3*c^5*e^3*g + 15744*c^8*d^2*e*f - 17920*b*c^7*d*e^2*f + 169216*b*c^7*d^2*e*g - 95968*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(18*b*e*g - 34*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(513*b^2*e^2*g + 1912*c^2*d^2*g + 72*b*c*e^2*f - 136*c^2*d*e*f - 1980*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((5568*b^2*c^6*e^3*f - 109440*c^8*d^3*g + 19872*b^3*c^5*e^3*g + 17536*c^8*d^2*e*f - 19840*b*c^7*d*e^2*f + 188928*b*c^7*d^2*e*g - 106848*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(19*b*e*g - 36*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(561*b^2*e^2*g + 2096*c^2*d^2*g + 76*b*c*e^2*f - 144*c^2*d*e*f - 2168*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((3488*b^2*c^6*e^3*f - 125184*c^8*d^3*g + 24032*b^3*c^5*e^3*g + 8960*c^8*d^2*e*f - 11392*b*c^7*d*e^2*f + 221312*b*c^7*d^2*e*g - 127424*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(20*b*e*g - 38*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(633*b^2*e^2*g + 2376*c^2*d^2*g + 80*b*c*e^2*f - 152*c^2*d*e*f - 2452*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((3680*b^2*c^6*e^3*f - 137472*c^8*d^3*g + 26368*b^3*c^5*e^3*g + 9472*c^8*d^2*e*f - 12032*b*c^7*d*e^2*f + 242944*b*c^7*d^2*e*g - 139840*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(21*b*e*g - 40*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(689*b^2*e^2*g + 2592*c^2*d^2*g + 84*b*c*e^2*f - 160*c^2*d*e*f - 2672*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((10432*b^2*c^6*e^3*f - 125696*c^8*d^3*g + 23744*b^3*c^5*e^3*g + 36096*c^8*d^2*e*f - 38848*b*c^7*d*e^2*f + 220672*b*c^7*d^2*e*g - 126400*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(45*b*e*g - 86*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(414*b^2*e^2*g + 1568*c^2*d^2*g + 45*b*c*e^2*f - 86*c^2*d*e*f - 1611*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((3872*b^2*c^6*e^3*f - 151808*c^8*d^3*g + 29088*b^3*c^5*e^3*g + 9984*c^8*d^2*e*f - 12672*b*c^7*d*e^2*f + 268160*b*c^7*d^2*e*g - 154304*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(22*b*e*g - 42*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(753*b^2*e^2*g + 2840*c^2*d^2*g + 88*b*c*e^2*f - 168*c^2*d*e*f - 2924*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((4064*b^2*c^6*e^3*f - 168192*c^8*d^3*g + 32192*b^3*c^5*e^3*g + 10496*c^8*d^2*e*f - 13312*b*c^7*d*e^2*f + 296960*b*c^7*d^2*e*g - 170816*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((128*c^7*(23*b*e*g - 44*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (32*c^6*(825*b^2*e^2*g + 3120*c^2*d^2*g + 92*b*c*e^2*f - 176*c^2*d*e*f - 3208*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4736*b^2*c^6*e^3*f - 241664*c^8*d^3*g + 46080*b^3*c^5*e^3*g + 12288*c^8*d^2*e*f - 15552*b*c^7*d*e^2*f + 425984*b*c^7*d^2*e*g - 244736*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(53*b*e*g - 102*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(570*b^2*e^2*g + 2176*c^2*d^2*g + 53*b*c*e^2*f - 102*c^2*d*e*f - 2227*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((8384*b^2*c^6*e^3*f - 302336*c^8*d^3*g + 49088*b^3*c^5*e^3*g + 27392*c^8*d^2*e*f - 30400*b*c^7*d*e^2*f + 498688*b*c^7*d^2*e*g - 271936*b^2*c^6*d*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7) + (d*((d*((64*c^7*(49*b*e*g - 94*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (64*c^6*(484*b^2*e^2*g + 1840*c^2*d^2*g + 49*b*c*e^2*f - 94*c^2*d*e*f - 1887*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((4*c^2*e*(9*b*e*g - 16*c*d*g + c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (36*b*c^2*e^3*f + 60*b^2*c*e^3*g - 64*c^3*d*e^2*f + 172*c^3*d^2*e*g - 204*b*c^2*d*e^2*g)/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e + (4*(b*e - c*d)*(7*b^2*e^2*g + 28*c^2*d^2*g + 8*b*c*e^2*f - 15*c^2*d*e*f - 28*b*c*d*e*g))/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((2*b^3*e^2*g + 8*b*c^2*d^2*g + 4*b^2*c*e^2*f - 6*b*c^2*d*e*f - 8*b^2*c*d*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (d*((16*c^3*d^2*g - 12*c^3*d*e*f + 10*b*c^2*e^2*f + 8*b^2*c*e^2*g - 22*b*c^2*d*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (d*((2*c^2*e*(5*b*e*g - 6*c*d*g + 2*c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^3*d*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((d*((8*c^4*e*(7*b*e*g - 10*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (208*c^5*d^2*g + 76*b^2*c^3*e^2*g - 80*c^5*d*e*f + 56*b*c^4*e^2*f - 248*b*c^4*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (2*b*c^2*(13*b^2*e^2*g + 52*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 52*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((16*c^4*e*(9*b*e*g - 16*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (1088*c^5*d^2*g + 340*b^2*c^3*e^2*g - 256*c^5*d*e*f + 144*b*c^4*e^2*f - 1216*b*c^4*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(34*b^2*e^2*g + 136*c^2*d^2*g + 17*b*c*e^2*f - 32*c^2*d*e*f - 136*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((16*c^4*e*(10*b*e*g - 18*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (1248*c^5*d^2*g + 388*b^2*c^3*e^2*g - 288*c^5*d*e*f + 160*b*c^4*e^2*f - 1392*b*c^4*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (4*b*c^2*(39*b^2*e^2*g + 156*c^2*d^2*g + 19*b*c*e^2*f - 36*c^2*d*e*f - 156*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((8*c^4*e*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4416*c^5*d^2*g + 1224*b^2*c^3*e^2*g - 464*c^5*d*e*f + 248*b*c^4*e^2*f - 4648*b*c^4*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (8*b*c^2*(69*b^2*e^2*g + 276*c^2*d^2*g + 15*b*c*e^2*f - 29*c^2*d*e*f - 276*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((32*c^5*e*(4*b*e*g - 6*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (608*c^6*d^2*g + 208*b^2*c^4*e^2*g - 192*c^6*d*e*f + 128*b*c^5*e^2*f - 704*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(19*b^2*e^2*g + 76*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 76*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2336*c^6*d^2*g + 712*b^2*c^4*e^2*g - 480*c^6*d*e*f + 272*b*c^5*e^2*f - 2576*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(73*b^2*e^2*g + 292*c^2*d^2*g + 32*b*c*e^2*f - 60*c^2*d*e*f - 292*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(19*b*e*g - 34*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2720*c^6*d^2*g + 824*b^2*c^4*e^2*g - 544*c^6*d*e*f + 304*b*c^5*e^2*f - 2992*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(85*b^2*e^2*g + 340*c^2*d^2*g + 36*b*c*e^2*f - 68*c^2*d*e*f - 340*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (3104*c^6*d^2*g + 936*b^2*c^4*e^2*g - 608*c^6*d*e*f + 336*b*c^5*e^2*f - 3408*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4*b*c^3*(97*b^2*e^2*g + 388*c^2*d^2*g + 40*b*c*e^2*f - 76*c^2*d*e*f - 388*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(14*b*e*g - 26*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (7616*c^6*d^2*g + 2120*b^2*c^4*e^2*g - 832*c^6*d*e*f + 448*b*c^5*e^2*f - 8032*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(119*b^2*e^2*g + 476*c^2*d^2*g + 27*b*c*e^2*f - 52*c^2*d*e*f - 476*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(15*b*e*g - 28*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8576*c^6*d^2*g + 2376*b^2*c^4*e^2*g - 896*c^6*d*e*f + 480*b*c^5*e^2*f - 9024*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(134*b^2*e^2*g + 536*c^2*d^2*g + 29*b*c*e^2*f - 56*c^2*d*e*f - 536*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((32*c^5*e*(16*b*e*g - 30*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (9792*c^6*d^2*g + 2696*b^2*c^4*e^2*g - 960*c^6*d*e*f + 512*b*c^5*e^2*f - 10272*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (8*b*c^3*(153*b^2*e^2*g + 612*c^2*d^2*g + 31*b*c*e^2*f - 60*c^2*d*e*f - 612*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(41*b*e*g - 78*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (18432*c^6*d^2*g + 4928*b^2*c^4*e^2*g - 1248*c^6*d*e*f + 656*b*c^5*e^2*f - 19056*b*c^5*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (16*b*c^3*(144*b^2*e^2*g + 576*c^2*d^2*g + 20*b*c*e^2*f - 39*c^2*d*e*f - 576*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((32*c^6*e*(9*b*e*g - 14*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (1664*c^7*d^2*g + 544*b^2*c^5*e^2*g - 448*c^7*d*e*f + 288*b*c^6*e^2*f - 1888*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (16*b*c^4*(13*b^2*e^2*g + 52*c^2*d^2*g + 8*b*c*e^2*f - 14*c^2*d*e*f - 52*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(8*b*e*g - 14*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (4800*c^7*d^2*g + 1440*b^2*c^5*e^2*g - 896*c^7*d*e*f + 512*b*c^6*e^2*f - 5248*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(75*b^2*e^2*g + 300*c^2*d^2*g + 30*b*c*e^2*f - 56*c^2*d*e*f - 300*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(9*b*e*g - 16*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (5696*c^7*d^2*g + 1696*b^2*c^5*e^2*g - 1024*c^7*d*e*f + 576*b*c^6*e^2*f - 6208*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(89*b^2*e^2*g + 356*c^2*d^2*g + 34*b*c*e^2*f - 64*c^2*d*e*f - 356*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(10*b*e*g - 18*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (6592*c^7*d^2*g + 1952*b^2*c^5*e^2*g - 1152*c^7*d*e*f + 640*b*c^6*e^2*f - 7168*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(103*b^2*e^2*g + 412*c^2*d^2*g + 38*b*c*e^2*f - 72*c^2*d*e*f - 412*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(11*b*e*g - 20*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (7488*c^7*d^2*g + 2208*b^2*c^5*e^2*g - 1280*c^7*d*e*f + 704*b*c^6*e^2*f - 8128*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(117*b^2*e^2*g + 468*c^2*d^2*g + 42*b*c*e^2*f - 80*c^2*d*e*f - 468*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (12864*c^7*d^2*g + 3600*b^2*c^5*e^2*g - 1472*c^7*d*e*f + 800*b*c^6*e^2*f - 13600*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(201*b^2*e^2*g + 804*c^2*d^2*g + 48*b*c*e^2*f - 92*c^2*d*e*f - 804*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (14656*c^7*d^2*g + 4080*b^2*c^5*e^2*g - 1600*c^7*d*e*f + 864*b*c^6*e^2*f - 15456*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(229*b^2*e^2*g + 916*c^2*d^2*g + 52*b*c*e^2*f - 100*c^2*d*e*f - 916*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16448*c^7*d^2*g + 4560*b^2*c^5*e^2*g - 1728*c^7*d*e*f + 928*b*c^6*e^2*f - 17312*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(257*b^2*e^2*g + 1028*c^2*d^2*g + 56*b*c*e^2*f - 108*c^2*d*e*f - 1028*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(29*b*e*g - 54*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16960*c^7*d^2*g + 4688*b^2*c^5*e^2*g - 1728*c^7*d*e*f + 928*b*c^6*e^2*f - 17824*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(265*b^2*e^2*g + 1060*c^2*d^2*g + 56*b*c*e^2*f - 108*c^2*d*e*f - 1060*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(31*b*e*g - 58*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (19008*c^7*d^2*g + 5232*b^2*c^5*e^2*g - 1856*c^7*d*e*f + 992*b*c^6*e^2*f - 19936*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(297*b^2*e^2*g + 1188*c^2*d^2*g + 60*b*c*e^2*f - 116*c^2*d*e*f - 1188*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(33*b*e*g - 62*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (21568*c^7*d^2*g + 5904*b^2*c^5*e^2*g - 1984*c^7*d*e*f + 1056*b*c^6*e^2*f - 22560*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8*b*c^4*(337*b^2*e^2*g + 1348*c^2*d^2*g + 64*b*c*e^2*f - 124*c^2*d*e*f - 1348*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(18*b*e*g - 34*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (29056*c^7*d^2*g + 7824*b^2*c^5*e^2*g - 2176*c^7*d*e*f + 1152*b*c^6*e^2*f - 30144*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (16*b*c^4*(227*b^2*e^2*g + 908*c^2*d^2*g + 35*b*c*e^2*f - 68*c^2*d*e*f - 908*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(19*b*e*g - 36*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32000*c^7*d^2*g + 8592*b^2*c^5*e^2*g - 2304*c^7*d*e*f + 1216*b*c^6*e^2*f - 33152*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (16*b*c^4*(250*b^2*e^2*g + 1000*c^2*d^2*g + 37*b*c*e^2*f - 72*c^2*d*e*f - 1000*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(20*b*e*g - 38*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (35456*c^7*d^2*g + 9488*b^2*c^5*e^2*g - 2432*c^7*d*e*f + 1280*b*c^6*e^2*f - 36672*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (16*b*c^4*(277*b^2*e^2*g + 1108*c^2*d^2*g + 39*b*c*e^2*f - 76*c^2*d*e*f - 1108*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(21*b*e*g - 40*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (39424*c^7*d^2*g + 10512*b^2*c^5*e^2*g - 2560*c^7*d*e*f + 1344*b*c^6*e^2*f - 40704*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (16*b*c^4*(308*b^2*e^2*g + 1232*c^2*d^2*g + 41*b*c*e^2*f - 80*c^2*d*e*f - 1232*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(49*b*e*g - 94*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (57344*c^7*d^2*g + 15104*b^2*c^5*e^2*g - 3008*c^7*d*e*f + 1568*b*c^6*e^2*f - 58848*b*c^6*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (32*b*c^4*(224*b^2*e^2*g + 896*c^2*d^2*g + 24*b*c*e^2*f - 47*c^2*d*e*f - 896*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((16*c^5*e*(37*b*e*g - 70*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(250*b^2*e^2*g + 928*c^2*d^2*g + 37*b*c*e^2*f - 70*c^2*d*e*f - 963*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (3136*c^6*d^3*g - 976*b^2*c^4*e^3*f + 2096*b^3*c^3*e^3*g - 5056*c^6*d^2*e*f + 4496*b*c^5*d*e^2*f + 5248*b*c^5*d^2*e*g - 7600*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(35*b*e*g - 66*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(227*b^2*e^2*g + 840*c^2*d^2*g + 35*b*c*e^2*f - 66*c^2*d*e*f - 873*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (1488*b^2*c^4*e^3*f - 16256*c^6*d^3*g + 3104*b^3*c^3*e^3*g + 4864*c^6*d^2*e*f - 5392*b*c^5*d*e^2*f + 28672*b*c^5*d^2*e*g - 16480*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((16*c^5*e*(39*b*e*g - 74*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^4*(277*b^2*e^2*g + 1032*c^2*d^2*g + 39*b*c*e^2*f - 74*c^2*d*e*f - 1069*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (1264*b^2*c^4*e^3*f - 39168*c^6*d^3*g + 6480*b^3*c^3*e^3*g + 3840*c^6*d^2*e*f - 4432*b*c^5*d*e^2*f + 65088*b*c^5*d^2*e*g - 35712*b^2*c^4*d*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((64*c^6*e*(7*b*e*g - 12*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^5*(37*b^2*e^2*g + 122*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 134*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (544*b^2*c^5*e^3*f - 4992*c^7*d^3*g + 944*b^3*c^4*e^3*g + 1344*c^7*d^2*e*f - 1728*b*c^6*d*e^2*f + 8768*b*c^6*d^2*e*g - 5024*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(21*b*e*g - 38*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(165*b^2*e^2*g + 580*c^2*d^2*g + 42*b*c*e^2*f - 76*c^2*d*e*f - 618*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (4672*c^7*d^3*g - 224*b^2*c^5*e^3*f - 1792*b^3*c^4*e^3*g + 384*c^7*d^2*e*f + 224*b*c^6*d*e^2*f - 11840*b*c^6*d^2*e*g + 8336*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(16*b*e*g - 30*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(385*b^2*e^2*g + 1416*c^2*d^2*g + 64*b*c*e^2*f - 120*c^2*d*e*f - 1476*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (448*c^7*d^3*g + 480*b^2*c^5*e^3*f - 3376*b^3*c^4*e^3*g + 3904*c^7*d^2*e*f - 2944*b*c^6*d*e^2*f - 13952*b*c^6*d^2*e*g + 13616*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(17*b*e*g - 32*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(425*b^2*e^2*g + 1568*c^2*d^2*g + 68*b*c*e^2*f - 128*c^2*d*e*f - 1632*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (320*c^7*d^3*g - 608*b^2*c^5*e^3*f + 3664*b^3*c^4*e^3*g - 4544*c^7*d^2*e*f + 3520*b*c^6*d*e^2*f + 14336*b*c^6*d^2*e*g - 14576*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(23*b*e*g - 42*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(191*b^2*e^2*g + 676*c^2*d^2*g + 46*b*c*e^2*f - 84*c^2*d*e*f - 718*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1120*b^2*c^5*e^3*f - 17088*c^7*d^3*g + 3104*b^3*c^4*e^3*g + 3072*c^7*d^2*e*f - 3744*b*c^6*d*e^2*f + 29504*b*c^6*d^2*e*g - 16688*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(25*b*e*g - 46*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(217*b^2*e^2*g + 772*c^2*d^2*g + 50*b*c*e^2*f - 92*c^2*d*e*f - 818*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1248*b^2*c^5*e^3*f - 19776*c^7*d^3*g + 3584*b^3*c^4*e^3*g + 3456*c^7*d^2*e*f - 4192*b*c^6*d*e^2*f + 34112*b*c^6*d^2*e*g - 19280*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(27*b*e*g - 50*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(243*b^2*e^2*g + 868*c^2*d^2*g + 54*b*c*e^2*f - 100*c^2*d*e*f - 918*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1376*b^2*c^5*e^3*f - 22464*c^7*d^3*g + 4064*b^3*c^4*e^3*g + 3840*c^7*d^2*e*f - 4640*b*c^6*d*e^2*f + 38720*b*c^6*d^2*e*g - 21872*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(15*b*e*g - 28*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(345*b^2*e^2*g + 1264*c^2*d^2*g + 60*b*c*e^2*f - 112*c^2*d*e*f - 1320*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (2048*b^2*c^5*e^3*f - 26176*c^7*d^3*g + 5008*b^3*c^4*e^3*g + 6336*c^7*d^2*e*f - 7232*b*c^6*d*e^2*f + 46208*b*c^6*d^2*e*g - 26576*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(45*b*e*g - 86*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^5*(394*b^2*e^2*g + 1488*c^2*d^2*g + 45*b*c*e^2*f - 86*c^2*d*e*f - 1531*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (50304*c^7*d^3*g - 1312*b^2*c^5*e^3*f + 672*b^3*c^4*e^3*g - 8064*c^7*d^2*e*f + 6688*b*c^6*d*e^2*f - 47616*b*c^6*d^2*e*g + 9888*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(41*b*e*g - 78*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^5*(332*b^2*e^2*g + 1248*c^2*d^2*g + 41*b*c*e^2*f - 78*c^2*d*e*f - 1287*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (22144*c^7*d^3*g + 2592*b^2*c^5*e^3*f - 9376*b^3*c^4*e^3*g + 12928*c^7*d^2*e*f - 11680*b*c^6*d*e^2*f - 59648*b*c^6*d^2*e*g + 43040*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(17*b*e*g - 32*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(433*b^2*e^2*g + 1600*c^2*d^2*g + 68*b*c*e^2*f - 128*c^2*d*e*f - 1664*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1824*b^2*c^5*e^3*f - 50880*c^7*d^3*g + 8912*b^3*c^4*e^3*g + 5184*c^7*d^2*e*f - 6208*b*c^6*d*e^2*f + 86528*b*c^6*d^2*e*g - 48368*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(18*b*e*g - 34*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(477*b^2*e^2*g + 1768*c^2*d^2*g + 72*b*c*e^2*f - 136*c^2*d*e*f - 1836*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1952*b^2*c^5*e^3*f - 57024*c^7*d^3*g + 9968*b^3*c^4*e^3*g + 5568*c^7*d^2*e*f - 6656*b*c^6*d*e^2*f + 96896*b*c^6*d^2*e*g - 54128*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((64*c^6*e*(19*b*e*g - 36*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^5*(529*b^2*e^2*g + 1968*c^2*d^2*g + 76*b*c*e^2*f - 144*c^2*d*e*f - 2040*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (2080*b^2*c^5*e^3*f - 64704*c^7*d^3*g + 11280*b^3*c^4*e^3*g + 5952*c^7*d^2*e*f - 7104*b*c^6*d*e^2*f + 109824*b*c^6*d^2*e*g - 61296*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(43*b*e*g - 82*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^5*(361*b^2*e^2*g + 1360*c^2*d^2*g + 43*b*c*e^2*f - 82*c^2*d*e*f - 1401*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (7456*b^2*c^5*e^3*f - 108544*c^7*d^3*g + 15616*b^3*c^4*e^3*g + 27136*c^7*d^2*e*f - 28448*b*c^6*d*e^2*f + 171008*b*c^6*d^2*e*g - 89600*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((32*c^6*e*(47*b*e*g - 90*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^5*(431*b^2*e^2*g + 1632*c^2*d^2*g + 47*b*c*e^2*f - 90*c^2*d*e*f - 1677*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (2656*b^2*c^5*e^3*f - 118272*c^7*d^3*g + 20352*b^3*c^4*e^3*g + 7680*c^7*d^2*e*f - 9120*b*c^6*d*e^2*f + 199680*b*c^6*d^2*e*g - 110976*b^2*c^5*d*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((128*c^7*(29*b*e*g - 56*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^8*d*g)/(135135*(b*e - 2*c*d)^7)))/e - (128*c^6*(350*b^2*e^2*g + 1343*c^2*d^2*g + 29*b*c*e^2*f - 56*c^2*d*e*f - 1371*b*c*d*e*g))/(135135*e*(b*e - 2*c*d)^7)))/e + (128*c^5*(b*e - c*d)*(322*b^2*e^2*g + 1288*c^2*d^2*g + 28*b*c*e^2*f - 55*c^2*d*e*f - 1288*b*c*d*e*g))/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*f*(b*e - c*d)^2)/(13*b*e^2 - 26*c*d*e) + (d*((d*((2*c*e*(2*b*e*g - 2*c*d*g + c*e*f))/(13*b*e^2 - 26*c*d*e) - (2*c^2*d*e*g)/(13*b*e^2 - 26*c*d*e)))/e - (2*(b*e - c*d)*(b*e*g - c*d*g + 2*c*e*f))/(13*b*e^2 - 26*c*d*e)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^7 - (((d*((d*((4*c^3*e*(17*b*e*g - 30*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^4*d*e*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (136*b^2*c^2*e^3*g + 68*b*c^3*e^3*f - 120*c^4*d*e^2*f + 416*c^4*d^2*e*g - 476*b*c^3*d*e^2*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (80*b^2*c^2*e^3*f - 384*c^4*d^3*g + 76*b^3*c*e^3*g + 192*c^4*d^2*e*f - 252*b*c^3*d*e^2*f + 688*b*c^3*d^2*e*g - 400*b^2*c^2*d*e^2*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((16*c^4*e*(20*b*e*g - 38*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^5*d*e*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^3*(144*b^2*e^2*g + 537*c^2*d^2*g + 20*b*c*e^2*f - 38*c^2*d*e*f - 556*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (16*c^2*(b*e - c*d)*(125*b^2*e^2*g + 500*c^2*d^2*g + 19*b*c*e^2*f - 37*c^2*d*e*f - 500*b*c*d*e*g))/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((32*c^5*e*(24*b*e*g - 46*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^6*d*e*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^4*(224*b^2*e^2*g + 849*c^2*d^2*g + 24*b*c*e^2*f - 46*c^2*d*e*f - 872*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (32*c^3*(b*e - c*d)*(201*b^2*e^2*g + 804*c^2*d^2*g + 23*b*c*e^2*f - 45*c^2*d*e*f - 804*b*c*d*e*g))/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((64*c^6*e*(27*b*e*g - 52*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^7*d*e*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^5*(296*b^2*e^2*g + 1131*c^2*d^2*g + 27*b*c*e^2*f - 52*c^2*d*e*f - 1157*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (64*c^4*(b*e - c*d)*(270*b^2*e^2*g + 1080*c^2*d^2*g + 26*b*c*e^2*f - 51*c^2*d*e*f - 1080*b*c*d*e*g))/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2195,0,-1,562,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^3\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2196,0,-1,487,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^2\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2197,0,-1,371,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \left(f+g\,x\right)\,\left(d+e\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2198,0,-1,346,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{d+e\,x} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x), x)","F"
2199,0,-1,354,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^2,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^2, x)","F"
2200,0,-1,354,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^3,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^3, x)","F"
2201,0,-1,342,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^4,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^4, x)","F"
2202,0,-1,350,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^5,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^5, x)","F"
2203,0,-1,352,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^6,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^6} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^6, x)","F"
2204,0,-1,264,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^7,x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^7} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^7, x)","F"
2205,1,12294,138,26.335683,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^8,x)","\frac{\left(\frac{d\,\left(\frac{384\,g\,b^3\,c^4\,e^3-1968\,g\,b^2\,c^5\,d\,e^2+336\,f\,b^2\,c^5\,e^3+3424\,g\,b\,c^6\,d^2\,e-1024\,f\,b\,c^6\,d\,e^2-2016\,g\,c^7\,d^3+800\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^5\,\left(21\,g\,b^2\,e^2-64\,g\,b\,c\,d\,e+10\,f\,b\,c\,e^2+50\,g\,c^2\,d^2-14\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^6\,e\,\left(5\,b\,e\,g-7\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{126\,g\,b^4\,c^3\,e^3-756\,g\,b^3\,c^4\,d\,e^2+132\,f\,b^3\,c^4\,e^3+1512\,g\,b^2\,c^5\,d^2\,e-456\,f\,b^2\,c^5\,d\,e^2-1008\,g\,b\,c^6\,d^3+400\,f\,b\,c^6\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{1044\,g\,b^3\,c^4\,e^3-5568\,g\,b^2\,c^5\,d\,e^2+696\,f\,b^2\,c^5\,e^3+9984\,g\,b\,c^6\,d^2\,e-2304\,f\,b\,c^6\,d\,e^2-6016\,g\,c^7\,d^3+1920\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{8\,c^5\,\left(29\,g\,b^2\,e^2-96\,g\,b\,c\,d\,e+10\,f\,b\,c\,e^2+80\,g\,c^2\,d^2-16\,f\,c^2\,d\,e\right)}{315\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^6\,e\,\left(15\,b\,e\,g-24\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{376\,g\,b^4\,c^3\,e^3-2256\,g\,b^3\,c^4\,d\,e^2+292\,f\,b^3\,c^4\,e^3+4512\,g\,b^2\,c^5\,d^2\,e-1056\,f\,b^2\,c^5\,d\,e^2-3008\,g\,b\,c^6\,d^3+960\,f\,b\,c^6\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{1308\,g\,b^3\,c^4\,e^3-7008\,g\,b^2\,c^5\,d\,e^2+840\,f\,b^2\,c^5\,e^3+12608\,g\,b\,c^6\,d^2\,e-2816\,f\,b\,c^6\,d\,e^2-7616\,g\,c^7\,d^3+2368\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{8\,c^5\,\left(105\,g\,b^2\,e^2-352\,g\,b\,c\,d\,e+34\,f\,b\,c\,e^2+296\,g\,c^2\,d^2-56\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^6\,e\,\left(17\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{476\,g\,b^4\,c^3\,e^3-2856\,g\,b^3\,c^4\,d\,e^2+356\,f\,b^3\,c^4\,e^3+5712\,g\,b^2\,c^5\,d^2\,e-1296\,f\,b^2\,c^5\,d\,e^2-3808\,g\,b\,c^6\,d^3+1184\,f\,b\,c^6\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{1572\,g\,b^3\,c^4\,e^3-8448\,g\,b^2\,c^5\,d\,e^2+984\,f\,b^2\,c^5\,e^3+15232\,g\,b\,c^6\,d^2\,e-3328\,f\,b\,c^6\,d\,e^2-9216\,g\,c^7\,d^3+2816\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{8\,c^5\,\left(123\,g\,b^2\,e^2-416\,g\,b\,c\,d\,e+38\,f\,b\,c\,e^2+352\,g\,c^2\,d^2-64\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{16\,c^6\,e\,\left(19\,b\,e\,g-32\,c\,d\,g+2\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{576\,g\,b^4\,c^3\,e^3-3456\,g\,b^3\,c^4\,d\,e^2+420\,f\,b^3\,c^4\,e^3+6912\,g\,b^2\,c^5\,d^2\,e-1536\,f\,b^2\,c^5\,d\,e^2-4608\,g\,b\,c^6\,d^3+1408\,f\,b\,c^6\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^4\,e^2\,\left(15\,b\,e\,g-24\,c\,d\,g+2\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,c^3\,e\,\left(37\,g\,b^2\,e^2-118\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+94\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{164\,g\,b^3\,c^2\,e^4-836\,g\,b^2\,c^3\,d\,e^3+148\,f\,b^2\,c^3\,e^4+1436\,g\,b\,c^4\,d^2\,e^2-472\,f\,b\,c^4\,d\,e^3-832\,g\,c^5\,d^3\,e+376\,f\,c^5\,d^2\,e^2}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{68\,g\,b^4\,c\,e^4-488\,g\,b^3\,c^2\,d\,e^3+108\,f\,b^3\,c^2\,e^4+1296\,g\,b^2\,c^3\,d^2\,e^2-500\,f\,b^2\,c^3\,d\,e^3-1504\,g\,b\,c^4\,d^3\,e+764\,f\,b\,c^4\,d^2\,e^2+640\,g\,c^5\,d^4-384\,f\,c^5\,d^3\,e}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{3088\,g\,b^3\,c^4\,e^3-17048\,g\,b^2\,c^5\,d\,e^2+1480\,f\,b^2\,c^5\,e^3+31488\,g\,b\,c^6\,d^2\,e-5216\,f\,b\,c^6\,d\,e^2-19456\,g\,c^7\,d^3+4608\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{8\,c^5\,\left(185\,g\,b^2\,e^2-652\,g\,b\,c\,d\,e+44\,f\,b\,c\,e^2+576\,g\,c^2\,d^2-76\,f\,c^2\,d\,e\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\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{712\,g\,b^4\,c^2\,e^4-4936\,g\,b^3\,c^3\,d\,e^3+456\,f\,b^3\,c^3\,e^4+12528\,g\,b^2\,c^4\,d^2\,e^2-2080\,f\,b^2\,c^4\,d\,e^3-13664\,g\,b\,c^5\,d^3\,e+3016\,f\,b\,c^5\,d^2\,e^2+5312\,g\,c^6\,d^4-1344\,f\,c^6\,d^3\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^5\,e^2\,\left(23\,b\,e\,g-40\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^6\,d\,e^2\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{8\,c^4\,e\,\left(95\,g\,b^2\,e^2-334\,g\,b\,c\,d\,e+23\,f\,b\,c\,e^2+294\,g\,c^2\,d^2-40\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{1456\,g\,b^3\,c^3\,e^4-7976\,g\,b^2\,c^4\,d\,e^3+760\,f\,b^2\,c^4\,e^4+14616\,g\,b\,c^5\,d^2\,e^2-2672\,f\,b\,c^5\,d\,e^3-8960\,g\,c^6\,d^3\,e+2352\,f\,c^6\,d^2\,e^2}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{944\,g\,b^4\,c^2\,e^4-6864\,g\,b^3\,c^3\,d\,e^3+768\,f\,b^3\,c^3\,e^4+18528\,g\,b^2\,c^4\,d^2\,e^2-3848\,f\,b^2\,c^4\,d\,e^3-21952\,g\,b\,c^5\,d^3\,e+6360\,f\,b\,c^5\,d^2\,e^2+9600\,g\,c^6\,d^4-3456\,f\,c^6\,d^3\,e}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{13120\,g\,b^3\,c^4\,e^4-75008\,g\,b^2\,c^5\,d\,e^3+3712\,f\,b^2\,c^5\,e^4+143136\,g\,b\,c^6\,d^2\,e^2-13760\,f\,b\,c^6\,d\,e^3-91168\,g\,c^7\,d^3\,e+12768\,f\,c^7\,d^2\,e^2}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^5\,\left(116\,g\,b^2\,e^2-430\,g\,b\,c\,d\,e+17\,f\,b\,c\,e^2+399\,g\,c^2\,d^2-31\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^6\,e\,\left(17\,b\,e\,g-31\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(310\,g\,b^3\,e^3-1860\,g\,b^2\,c\,d\,e^2+100\,f\,b^2\,c\,e^3+3720\,g\,b\,c^2\,d^2\,e-384\,f\,b\,c^2\,d\,e^2-2480\,g\,c^3\,d^3+369\,f\,c^3\,d^2\,e\right)}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^3\,e^2\,\left(8\,b\,e\,g-13\,c\,d\,g+c\,e\,f\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c^4\,d\,e^2\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,c^2\,e\,\left(18\,g\,b^2\,e^2-56\,g\,b\,c\,d\,e+8\,f\,b\,c\,e^2+43\,g\,c^2\,d^2-13\,f\,c^2\,d\,e\right)}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}+\frac{64\,g\,b^3\,c\,e^4-312\,g\,b^2\,c^2\,d\,e^3+72\,f\,b^2\,c^2\,e^4+512\,g\,b\,c^3\,d^2\,e^2-224\,f\,b\,c^3\,d\,e^3-284\,g\,c^4\,d^3\,e+172\,f\,c^4\,d^2\,e^2}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)}{e}-\frac{4\,\left(b\,e-c\,d\right)\,\left(5\,g\,b^3\,e^3-30\,g\,b^2\,c\,d\,e^2+11\,f\,b^2\,c\,e^3+60\,g\,b\,c^2\,d^2\,e-37\,f\,b\,c^2\,d\,e^2-40\,g\,c^3\,d^3+31\,f\,c^3\,d^2\,e\right)}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{126\,g\,b^3\,c^3\,e^3-624\,g\,b^2\,c^4\,d\,e^2+132\,f\,b^2\,c^4\,e^3+1056\,g\,b\,c^5\,d^2\,e-384\,f\,b\,c^5\,d\,e^2-608\,g\,c^6\,d^3+288\,f\,c^6\,d^2\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}+\frac{d\,\left(\frac{d\,\left(\frac{8\,c^5\,e^2\,\left(9\,b\,e\,g-12\,c\,d\,g+2\,c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^6\,d\,e^2\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,c^4\,e\,\left(11\,g\,b^2\,e^2-32\,g\,b\,c\,d\,e+6\,f\,b\,c\,e^2+24\,g\,c^2\,d^2-8\,f\,c^2\,d\,e\right)}{105\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}\right)}{e}-\frac{38\,g\,b^4\,c^2\,e^3-228\,g\,b^3\,c^3\,d\,e^2+50\,f\,b^3\,c^3\,e^3+456\,g\,b^2\,c^4\,d^2\,e-168\,f\,b^2\,c^4\,d\,e^2-304\,g\,b\,c^5\,d^3+144\,f\,b\,c^5\,d^2\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{576\,g\,b^3\,c^3\,e^3-3036\,g\,b^2\,c^4\,d\,e^2+420\,f\,b^2\,c^4\,e^3+5376\,g\,b\,c^5\,d^2\,e-1392\,f\,b\,c^5\,d\,e^2-3200\,g\,c^6\,d^3+1152\,f\,c^6\,d^2\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e^2\,\left(9\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^6\,d\,e^2\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{4\,c^4\,e\,\left(35\,g\,b^2\,e^2-116\,g\,b\,c\,d\,e+12\,f\,b\,c\,e^2+96\,g\,c^2\,d^2-20\,f\,c^2\,d\,e\right)}{105\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}\right)}{e}-\frac{200\,g\,b^4\,c^2\,e^3-1200\,g\,b^3\,c^3\,d\,e^2+176\,f\,b^3\,c^3\,e^3+2400\,g\,b^2\,c^4\,d^2\,e-636\,f\,b^2\,c^4\,d\,e^2-1600\,g\,b\,c^5\,d^3+576\,f\,b\,c^5\,d^2\,e}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^3}{9\,b\,e^2-18\,c\,d\,e}-\frac{d\,\left(\frac{2\,{\left(b\,e-c\,d\right)}^2\,\left(b\,e\,g-c\,d\,g+3\,c\,e\,f\right)}{9\,b\,e^2-18\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c^2\,e^2\,\left(3\,b\,e\,g-3\,c\,d\,g+c\,e\,f\right)}{9\,b\,e^2-18\,c\,d\,e}-\frac{2\,c^3\,d\,e^2\,g}{9\,b\,e^2-18\,c\,d\,e}\right)}{e}-\frac{6\,c\,e\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+c\,e\,f\right)}{9\,b\,e^2-18\,c\,d\,e}\right)}{e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e^2\,\left(15\,b\,e\,g-27\,c\,d\,g+c\,e\,f\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^6\,d\,e^2\,g}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^4\,e\,\left(86\,g\,b^2\,e^2-314\,g\,b\,c\,d\,e+15\,f\,b\,c\,e^2+287\,g\,c^2\,d^2-27\,f\,c^2\,d\,e\right)}{315\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{3808\,g\,b^3\,c^3\,e^4-21472\,g\,b^2\,c^4\,d\,e^3+1376\,f\,b^2\,c^4\,e^4+40432\,g\,b\,c^5\,d^2\,e^2-5024\,f\,b\,c^5\,d\,e^3-25424\,g\,c^6\,d^3\,e+4592\,f\,c^6\,d^2\,e^2}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(166\,g\,b^3\,e^3-996\,g\,b^2\,c\,d\,e^2+72\,f\,b^2\,c\,e^3+1992\,g\,b\,c^2\,d^2\,e-274\,f\,b\,c^2\,d\,e^2-1328\,g\,c^3\,d^3+261\,f\,c^3\,d^2\,e\right)}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{4512\,g\,b^3\,c^4\,e^3-25080\,g\,b^2\,c^5\,d\,e^2+1992\,f\,b^2\,c^5\,e^3+46592\,g\,b\,c^6\,d^2\,e-7136\,f\,b\,c^6\,d\,e^2-28928\,g\,c^7\,d^3+6400\,f\,c^7\,d^2\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{1992\,g\,b^2\,c^5\,e^3-7136\,g\,b\,c^6\,d\,e^2+416\,f\,b\,c^6\,e^3+6400\,g\,c^7\,d^2\,e-736\,f\,c^7\,d\,e^2}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{d\,\left(\frac{32\,c^6\,e\,\left(13\,b\,e\,g-23\,c\,d\,g+c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^7\,d\,e\,g}{945\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}\right)}{e}-\frac{8\,b\,c^3\,\left(226\,g\,b^3\,e^3-1356\,g\,b^2\,c\,d\,e^2+112\,f\,b^2\,c\,e^3+2712\,g\,b\,c^2\,d^2\,e-423\,f\,b\,c^2\,d\,e^2-1808\,g\,c^3\,d^3+400\,f\,c^3\,d^2\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{38\,g\,b^3\,c^2\,e^3-178\,g\,b^2\,c^3\,d\,e^2+50\,f\,b^2\,c^3\,e^3+288\,g\,b\,c^4\,d^2\,e-136\,f\,b\,c^4\,d\,e^2-160\,g\,c^5\,d^3+96\,f\,c^5\,d^2\,e}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}+\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e^2\,\left(4\,b\,e\,g-5\,c\,d\,g+c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{50\,g\,b^2\,c^3\,e^3-136\,g\,b\,c^4\,d\,e^2+32\,f\,b\,c^4\,e^3+96\,g\,c^5\,d^2\,e-40\,f\,c^5\,d\,e^2}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}\right)}{e}-\frac{10\,g\,b^4\,c\,e^3-60\,g\,b^3\,c^2\,d\,e^2+18\,f\,b^3\,c^2\,e^3+120\,g\,b^2\,c^3\,d^2\,e-58\,f\,b^2\,c^3\,d\,e^2-80\,g\,b\,c^4\,d^3+48\,f\,b\,c^4\,d^2\,e}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{200\,g\,b^3\,c^2\,e^3-1024\,g\,b^2\,c^3\,d\,e^2+176\,f\,b^2\,c^3\,e^3+1764\,g\,b\,c^4\,d^2\,e-568\,f\,b\,c^4\,d\,e^2-1024\,g\,c^5\,d^3+456\,f\,c^5\,d^2\,e}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}+\frac{d\,\left(\frac{d\,\left(\frac{4\,c^4\,e^2\,\left(17\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{176\,g\,b^2\,c^3\,e^3-568\,g\,b\,c^4\,d\,e^2+68\,f\,b\,c^4\,e^3+456\,g\,c^5\,d^2\,e-112\,f\,c^5\,d\,e^2}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}\right)}{e}-\frac{64\,g\,b^4\,c\,e^3-384\,g\,b^3\,c^2\,d\,e^2+72\,f\,b^3\,c^2\,e^3+768\,g\,b^2\,c^3\,d^2\,e-256\,f\,b^2\,c^3\,d\,e^2-512\,g\,b\,c^4\,d^3+228\,f\,b\,c^4\,d^2\,e}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}","Not used",1,"(((d*((336*b^2*c^5*e^3*f - 2016*c^7*d^3*g + 384*b^3*c^4*e^3*g + 800*c^7*d^2*e*f - 1024*b*c^6*d*e^2*f + 3424*b*c^6*d^2*e*g - 1968*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((16*c^5*(21*b^2*e^2*g + 50*c^2*d^2*g + 10*b*c*e^2*f - 14*c^2*d*e*f - 64*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(5*b*e*g - 7*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (132*b^3*c^4*e^3*f + 126*b^4*c^3*e^3*g - 1008*b*c^6*d^3*g + 400*b*c^6*d^2*e*f - 456*b^2*c^5*d*e^2*f + 1512*b^2*c^5*d^2*e*g - 756*b^3*c^4*d*e^2*g)/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((696*b^2*c^5*e^3*f - 6016*c^7*d^3*g + 1044*b^3*c^4*e^3*g + 1920*c^7*d^2*e*f - 2304*b*c^6*d*e^2*f + 9984*b*c^6*d^2*e*g - 5568*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((8*c^5*(29*b^2*e^2*g + 80*c^2*d^2*g + 10*b*c*e^2*f - 16*c^2*d*e*f - 96*b*c*d*e*g))/(315*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(15*b*e*g - 24*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (292*b^3*c^4*e^3*f + 376*b^4*c^3*e^3*g - 3008*b*c^6*d^3*g + 960*b*c^6*d^2*e*f - 1056*b^2*c^5*d*e^2*f + 4512*b^2*c^5*d^2*e*g - 2256*b^3*c^4*d*e^2*g)/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((840*b^2*c^5*e^3*f - 7616*c^7*d^3*g + 1308*b^3*c^4*e^3*g + 2368*c^7*d^2*e*f - 2816*b*c^6*d*e^2*f + 12608*b*c^6*d^2*e*g - 7008*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((8*c^5*(105*b^2*e^2*g + 296*c^2*d^2*g + 34*b*c*e^2*f - 56*c^2*d*e*f - 352*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (356*b^3*c^4*e^3*f + 476*b^4*c^3*e^3*g - 3808*b*c^6*d^3*g + 1184*b*c^6*d^2*e*f - 1296*b^2*c^5*d*e^2*f + 5712*b^2*c^5*d^2*e*g - 2856*b^3*c^4*d*e^2*g)/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((984*b^2*c^5*e^3*f - 9216*c^7*d^3*g + 1572*b^3*c^4*e^3*g + 2816*c^7*d^2*e*f - 3328*b*c^6*d*e^2*f + 15232*b*c^6*d^2*e*g - 8448*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((8*c^5*(123*b^2*e^2*g + 352*c^2*d^2*g + 38*b*c*e^2*f - 64*c^2*d*e*f - 416*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (420*b^3*c^4*e^3*f + 576*b^4*c^3*e^3*g - 4608*b*c^6*d^3*g + 1408*b*c^6*d^2*e*f - 1536*b^2*c^5*d*e^2*f + 6912*b^2*c^5*d^2*e*g - 3456*b^3*c^4*d*e^2*g)/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((d*((4*c^4*e^2*(15*b*e*g - 24*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*c^3*e*(37*b^2*e^2*g + 94*c^2*d^2*g + 15*b*c*e^2*f - 24*c^2*d*e*f - 118*b*c*d*e*g))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (148*b^2*c^3*e^4*f + 164*b^3*c^2*e^4*g + 376*c^5*d^2*e^2*f - 832*c^5*d^3*e*g - 472*b*c^4*d*e^3*f + 1436*b*c^4*d^2*e^2*g - 836*b^2*c^3*d*e^3*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (640*c^5*d^4*g + 108*b^3*c^2*e^4*f + 68*b^4*c*e^4*g - 384*c^5*d^3*e*f - 1504*b*c^4*d^3*e*g + 764*b*c^4*d^2*e^2*f - 500*b^2*c^3*d*e^3*f - 488*b^3*c^2*d*e^3*g + 1296*b^2*c^3*d^2*e^2*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((1480*b^2*c^5*e^3*f - 19456*c^7*d^3*g + 3088*b^3*c^4*e^3*g + 4608*c^7*d^2*e*f - 5216*b*c^6*d*e^2*f + 31488*b*c^6*d^2*e*g - 17048*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((8*c^5*(185*b^2*e^2*g + 576*c^2*d^2*g + 44*b*c*e^2*f - 76*c^2*d*e*f - 652*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(11*b*e*g - 19*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (8*b*c^3*(152*b^3*e^3*g - 1216*c^3*d^3*g + 82*b^2*c*e^3*f + 288*c^3*d^2*e*f - 307*b*c^2*d*e^2*f + 1824*b*c^2*d^2*e*g - 912*b^2*c*d*e^2*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((1704*b^2*c^5*e^3*f - 23296*c^7*d^3*g + 3672*b^3*c^4*e^3*g + 5376*c^7*d^2*e*f - 6048*b*c^6*d*e^2*f + 37632*b*c^6*d^2*e*g - 20328*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((8*c^5*(71*b^2*e^2*g + 224*c^2*d^2*g + 16*b*c*e^2*f - 28*c^2*d*e*f - 252*b*c*d*e*g))/(315*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(12*b*e*g - 21*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (8*b*c^3*(182*b^3*e^3*g - 1456*c^3*d^3*g + 95*b^2*c*e^3*f + 336*c^3*d^2*e*f - 357*b*c^2*d*e^2*f + 2184*b*c^2*d^2*e*g - 1092*b^2*c*d*e^2*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((2992*b^2*c^5*e^3*f - 60928*c^7*d^3*g + 8992*b^3*c^4*e^3*g + 10080*c^7*d^2*e*f - 10976*b*c^6*d*e^2*f + 96432*b*c^6*d^2*e*g - 50960*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((16*c^5*(187*b^2*e^2*g + 630*c^2*d^2*g + 31*b*c*e^2*f - 56*c^2*d*e*f - 686*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (16*b*c^3*(238*b^3*e^3*g - 1904*c^3*d^3*g + 86*b^2*c*e^3*f + 315*c^3*d^2*e*f - 329*b*c^2*d*e^2*f + 2856*b*c^2*d^2*e*g - 1428*b^2*c*d*e^2*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((356*b^2*c^4*e^3*f - 2624*c^6*d^3*g + 476*b^3*c^3*e^3*g + 960*c^6*d^2*e*f - 1168*b*c^5*d*e^2*f + 4416*b*c^5*d^2*e*g - 2500*b^2*c^4*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(8*b*e*g - 13*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (356*b^2*c^4*e^3*g + 128*b*c^5*e^3*f - 208*c^6*d*e^2*f + 960*c^6*d^2*e*g - 1168*b*c^5*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (148*b^3*c^3*e^3*f + 164*b^4*c^2*e^3*g - 1312*b*c^5*d^3*g + 480*b*c^5*d^2*e*f - 532*b^2*c^4*d*e^2*f + 1968*b^2*c^4*d^2*e*g - 984*b^3*c^3*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((552*b^2*c^5*e^4*f + 780*b^3*c^4*e^4*g + 1472*c^7*d^2*e^2*f - 4416*c^7*d^3*e*g - 1792*b*c^6*d*e^3*f + 7360*b*c^6*d^2*e^2*g - 4128*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((8*c^5*(69*b^2*e^2*g + 184*c^2*d^2*g + 26*b*c*e^2*f - 40*c^2*d*e*f - 224*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(13*b*e*g - 20*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (4032*c^7*d^4*g + 428*b^3*c^4*e^4*f + 428*b^4*c^3*e^4*g - 1600*c^7*d^3*e*f - 9472*b*c^6*d^3*e*g + 3136*b*c^6*d^2*e^2*f - 2016*b^2*c^5*d*e^3*f - 3072*b^3*c^4*d*e^3*g + 8160*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((1032*b^2*c^5*e^4*f + 1920*b^3*c^4*e^4*g + 3072*c^7*d^2*e^2*f - 11776*c^7*d^3*e*g - 3552*b*c^6*d*e^3*f + 19200*b*c^6*d^2*e^2*g - 10488*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((8*c^5*(43*b^2*e^2*g + 128*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 148*b*c*d*e*g))/(315*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(9*b*e*g - 15*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (8384*c^7*d^4*g + 712*b^3*c^4*e^4*f + 1128*b^4*c^3*e^4*g - 2112*c^7*d^3*e*f - 21600*b*c^6*d^3*e*g + 4704*b*c^6*d^2*e^2*f - 3240*b^2*c^5*d*e^3*f - 7816*b^3*c^4*d*e^3*g + 19824*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((1224*b^2*c^5*e^4*f + 2376*b^3*c^4*e^4*g + 3712*c^7*d^2*e^2*f - 14720*c^7*d^3*e*g - 4256*b*c^6*d*e^3*f + 23936*b*c^6*d^2*e^2*g - 13032*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((8*c^5*(153*b^2*e^2*g + 464*c^2*d^2*g + 40*b*c*e^2*f - 68*c^2*d*e*f - 532*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(10*b*e*g - 17*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (15232*c^7*d^4*g + 1128*b^3*c^4*e^4*f + 1576*b^4*c^3*e^4*g - 4736*c^7*d^3*e*f - 35456*b*c^6*d^3*e*g + 8960*b*c^6*d^2*e^2*f - 5544*b^2*c^5*d*e^3*f - 11360*b^3*c^4*d*e^3*g + 30336*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((1416*b^2*c^5*e^4*f + 2832*b^3*c^4*e^4*g + 4352*c^7*d^2*e^2*f - 17664*c^7*d^3*e*g - 4960*b*c^6*d*e^3*f + 28672*b*c^6*d^2*e^2*g - 15576*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((8*c^5*(177*b^2*e^2*g + 544*c^2*d^2*g + 44*b*c*e^2*f - 76*c^2*d*e*f - 620*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(11*b*e*g - 19*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (18432*c^7*d^4*g + 1328*b^3*c^4*e^4*f + 1904*b^4*c^3*e^4*g - 5632*c^7*d^3*e*f - 42880*b*c^6*d^3*e*g + 10624*b*c^6*d^2*e^2*f - 6552*b^2*c^5*d*e^3*f - 13728*b^3*c^4*d*e^3*g + 36672*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((1984*b^2*c^5*e^4*f + 5056*b^3*c^4*e^4*g + 6432*c^7*d^2*e^2*f - 33280*c^7*d^3*e*g - 7136*b*c^6*d*e^3*f + 53136*b*c^6*d^2*e^2*g - 28352*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^5*(124*b^2*e^2*g + 402*c^2*d^2*g + 25*b*c*e^2*f - 44*c^2*d*e*f - 446*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (28288*c^7*d^4*g + 1712*b^3*c^4*e^4*f + 3440*b^4*c^3*e^4*g - 6528*c^7*d^3*e*f - 69952*b*c^6*d^3*e*g + 13008*b*c^6*d^2*e^2*f - 8288*b^2*c^5*d*e^3*f - 24176*b^3*c^4*d*e^3*g + 62496*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((2256*b^2*c^5*e^4*f + 5952*b^3*c^4*e^4*g + 7392*c^7*d^2*e^2*f - 39424*c^7*d^3*e*g - 8160*b*c^6*d*e^3*f + 62832*b*c^6*d^2*e^2*g - 33456*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^5*(47*b^2*e^2*g + 154*c^2*d^2*g + 9*b*c*e^2*f - 16*c^2*d*e*f - 170*b*c*d*e*g))/(315*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (27392*c^7*d^4*g + 1504*b^3*c^4*e^4*f + 3936*b^4*c^3*e^4*g - 3840*c^7*d^3*e*f - 72576*b*c^6*d^3*e*g + 9456*b*c^6*d^2*e^2*f - 6768*b^2*c^5*d*e^3*f - 27040*b^3*c^4*d*e^3*g + 67776*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((2592*b^2*c^5*e^4*f + 7200*b^3*c^4*e^4*g + 8608*c^7*d^2*e^2*f - 48128*c^7*d^3*e*g - 9440*b*c^6*d*e^3*f + 76496*b*c^6*d^2*e^2*g - 40608*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((16*c^5*(162*b^2*e^2*g + 538*c^2*d^2*g + 29*b*c*e^2*f - 52*c^2*d*e*f - 590*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((16*c^6*e*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (57856*c^7*d^4*g + 2784*b^3*c^4*e^4*f + 5824*b^4*c^3*e^4*g - 12800*c^7*d^3*e*f - 133376*b*c^6*d^3*e*g + 23504*b*c^6*d^2*e^2*f - 14112*b^2*c^5*d*e^3*f - 42176*b^3*c^4*d*e^3*g + 113280*b^2*c^5*d^2*e^2*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b^4*e^3*g - 16*b*c^3*d^3*g + 6*b^3*c*e^3*f + 14*b*c^3*d^2*e*f - 12*b^3*c*d*e^2*g - 18*b^2*c^2*d*e^2*f + 24*b^2*c^2*d^2*e*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (d*((18*b^2*c^2*e^3*f - 32*c^4*d^3*g + 10*b^3*c*e^3*g + 28*c^4*d^2*e*f - 44*b*c^3*d*e^2*f + 62*b*c^3*d^2*e*g - 42*b^2*c^2*d*e^2*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) + (d*((d*((2*c^3*e^2*(7*b*e*g - 8*c*d*g + 2*c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (18*b^2*c^2*e^3*g + 14*b*c^3*e^3*f - 16*c^4*d*e^2*f + 28*c^4*d^2*e*g - 44*b*c^3*d*e^2*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((896*b^2*c^4*e^3*f - 11264*c^6*d^3*g + 1808*b^3*c^3*e^3*g + 2832*c^6*d^2*e*f - 3184*b*c^5*d*e^2*f + 18312*b*c^5*d^2*e*g - 9952*b^2*c^4*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (896*b^2*c^4*e^3*g + 200*b*c^5*e^3*f - 352*c^6*d*e^2*f + 2832*c^6*d^2*e*g - 3184*b*c^5*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (8*b*c^2*(88*b^3*e^3*g - 704*c^3*d^3*g + 50*b^2*c*e^3*f + 177*c^3*d^2*e*f - 188*b*c^2*d*e^2*f + 1056*b*c^2*d^2*e*g - 528*b^2*c*d*e^2*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((8*c^4*e^2*(12*b*e*g - 21*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c^3*e*(50*b^2*e^2*g + 155*c^2*d^2*g + 12*b*c*e^2*f - 21*c^2*d*e*f - 176*b*c*d*e*g))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e + (400*b^2*c^3*e^4*f + 704*b^3*c^2*e^4*g + 1240*c^5*d^2*e^2*f - 4216*c^5*d^3*e*g - 1408*b*c^4*d*e^3*f + 6944*b*c^4*d^2*e^2*g - 3824*b^2*c^3*d*e^3*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(49*b^3*e^3*g - 392*c^3*d^3*g + 39*b^2*c*e^3*f + 135*c^3*d^2*e*f - 145*b*c^2*d*e^2*f + 588*b*c^2*d^2*e*g - 294*b^2*c*d*e^2*g))/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((16*c^5*e^2*(7*b*e*g - 11*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(73*b^2*e^2*g + 192*c^2*d^2*g + 28*b*c*e^2*f - 44*c^2*d*e*f - 236*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (292*b^2*c^4*e^4*f + 376*b^3*c^3*e^4*g + 768*c^6*d^2*e^2*f - 2048*c^6*d^3*e*g - 944*b*c^5*d*e^3*f + 3456*b*c^5*d^2*e^2*g - 1964*b^2*c^4*d*e^3*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (1824*c^6*d^4*g + 228*b^3*c^3*e^4*f + 188*b^4*c^2*e^4*g - 864*c^6*d^3*e*f - 4240*b*c^5*d^3*e*g + 1680*b*c^5*d^2*e^2*f - 1076*b^2*c^4*d*e^3*f - 1356*b^3*c^3*d*e^3*g + 3624*b^2*c^4*d^2*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((8*c^5*e^2*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(82*b^2*e^2*g + 250*c^2*d^2*g + 21*b*c*e^2*f - 36*c^2*d*e*f - 286*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (656*b^2*c^4*e^4*f + 1216*b^3*c^3*e^4*g + 2000*c^6*d^2*e^2*f - 7424*c^6*d^3*e*g - 2288*b*c^5*d*e^3*f + 12136*b*c^5*d^2*e^2*g - 6640*b^2*c^4*d*e^3*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (5312*c^6*d^4*g + 456*b^3*c^3*e^4*f + 712*b^4*c^2*e^4*g - 1344*c^6*d^3*e*f - 13664*b*c^5*d^3*e*g + 3016*b*c^5*d^2*e^2*f - 2080*b^2*c^4*d*e^3*f - 4936*b^3*c^3*d*e^3*g + 12528*b^2*c^4*d^2*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((8*c^5*e^2*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(95*b^2*e^2*g + 294*c^2*d^2*g + 23*b*c*e^2*f - 40*c^2*d*e*f - 334*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (760*b^2*c^4*e^4*f + 1456*b^3*c^3*e^4*g + 2352*c^6*d^2*e^2*f - 8960*c^6*d^3*e*g - 2672*b*c^5*d*e^3*f + 14616*b*c^5*d^2*e^2*g - 7976*b^2*c^4*d*e^3*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (9600*c^6*d^4*g + 768*b^3*c^3*e^4*f + 944*b^4*c^2*e^4*g - 3456*c^6*d^3*e*f - 21952*b*c^5*d^3*e*g + 6360*b*c^5*d^2*e^2*f - 3848*b^2*c^4*d*e^3*f - 6864*b^3*c^3*d*e^3*g + 18528*b^2*c^4*d^2*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((3712*b^2*c^5*e^4*f + 13120*b^3*c^4*e^4*g + 12768*c^7*d^2*e^2*f - 91168*c^7*d^3*e*g - 13760*b*c^6*d*e^3*f + 143136*b*c^6*d^2*e^2*g - 75008*b^2*c^5*d*e^3*g)/(945*e^2*(b*e - 2*c*d)^5) - (d*((32*c^5*(116*b^2*e^2*g + 399*c^2*d^2*g + 17*b*c*e^2*f - 31*c^2*d*e*f - 430*b*c*d*e*g))/(945*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(17*b*e*g - 31*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (32*c^3*(b*e - c*d)*(310*b^3*e^3*g - 2480*c^3*d^3*g + 100*b^2*c*e^3*f + 369*c^3*d^2*e*f - 384*b*c^2*d*e^2*f + 3720*b*c^2*d^2*e*g - 1860*b^2*c*d*e^2*g))/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((d*((4*c^3*e^2*(8*b*e*g - 13*c*d*g + c*e*f))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (4*c^2*e*(18*b^2*e^2*g + 43*c^2*d^2*g + 8*b*c*e^2*f - 13*c^2*d*e*f - 56*b*c*d*e*g))/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e + (72*b^2*c^2*e^4*f + 172*c^4*d^2*e^2*f + 64*b^3*c*e^4*g - 284*c^4*d^3*e*g - 224*b*c^3*d*e^3*f + 512*b*c^3*d^2*e^2*g - 312*b^2*c^2*d*e^3*g)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(5*b^3*e^3*g - 40*c^3*d^3*g + 11*b^2*c*e^3*f + 31*c^3*d^2*e*f - 37*b*c^2*d*e^2*f + 60*b*c^2*d^2*e*g - 30*b^2*c*d*e^2*g))/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((132*b^2*c^4*e^3*f - 608*c^6*d^3*g + 126*b^3*c^3*e^3*g + 288*c^6*d^2*e*f - 384*b*c^5*d*e^2*f + 1056*b*c^5*d^2*e*g - 624*b^2*c^4*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(9*b*e*g - 12*c*d*g + 2*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(11*b^2*e^2*g + 24*c^2*d^2*g + 6*b*c*e^2*f - 8*c^2*d*e*f - 32*b*c*d*e*g))/(105*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (50*b^3*c^3*e^3*f + 38*b^4*c^2*e^3*g - 304*b*c^5*d^3*g + 144*b*c^5*d^2*e*f - 168*b^2*c^4*d*e^2*f + 456*b^2*c^4*d^2*e*g - 228*b^3*c^3*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((420*b^2*c^4*e^3*f - 3200*c^6*d^3*g + 576*b^3*c^3*e^3*g + 1152*c^6*d^2*e*f - 1392*b*c^5*d*e^2*f + 5376*b*c^5*d^2*e*g - 3036*b^2*c^4*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(35*b^2*e^2*g + 96*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 116*b*c*d*e*g))/(105*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (176*b^3*c^3*e^3*f + 200*b^4*c^2*e^3*g - 1600*b*c^5*d^3*g + 576*b*c^5*d^2*e*f - 636*b^2*c^4*d*e^2*f + 2400*b^2*c^4*d^2*e*g - 1200*b^3*c^3*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*f*(b*e - c*d)^3)/(9*b*e^2 - 18*c*d*e) - (d*((2*(b*e - c*d)^2*(b*e*g - c*d*g + 3*c*e*f))/(9*b*e^2 - 18*c*d*e) + (d*((d*((2*c^2*e^2*(3*b*e*g - 3*c*d*g + c*e*f))/(9*b*e^2 - 18*c*d*e) - (2*c^3*d*e^2*g)/(9*b*e^2 - 18*c*d*e)))/e - (6*c*e*(b*e - c*d)*(b*e*g - c*d*g + c*e*f))/(9*b*e^2 - 18*c*d*e)))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((d*((16*c^5*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^4*e*(86*b^2*e^2*g + 287*c^2*d^2*g + 15*b*c*e^2*f - 27*c^2*d*e*f - 314*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e + (1376*b^2*c^4*e^4*f + 3808*b^3*c^3*e^4*g + 4592*c^6*d^2*e^2*f - 25424*c^6*d^3*e*g - 5024*b*c^5*d*e^3*f + 40432*b*c^5*d^2*e^2*g - 21472*b^2*c^4*d*e^3*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(166*b^3*e^3*g - 1328*c^3*d^3*g + 72*b^2*c*e^3*f + 261*c^3*d^2*e*f - 274*b*c^2*d*e^2*f + 1992*b*c^2*d^2*e*g - 996*b^2*c*d*e^2*g))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((1992*b^2*c^5*e^3*f - 28928*c^7*d^3*g + 4512*b^3*c^4*e^3*g + 6400*c^7*d^2*e*f - 7136*b*c^6*d*e^2*f + 46592*b*c^6*d^2*e*g - 25080*b^2*c^5*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((1992*b^2*c^5*e^3*g + 416*b*c^6*e^3*f - 736*c^7*d*e^2*f + 6400*c^7*d^2*e*g - 7136*b*c^6*d*e^2*g)/(945*e*(b*e - 2*c*d)^5) - (d*((32*c^6*e*(13*b*e*g - 23*c*d*g + c*e*f))/(945*(b*e - 2*c*d)^5) - (32*c^7*d*e*g)/(945*(b*e - 2*c*d)^5)))/e))/e))/e - (8*b*c^3*(226*b^3*e^3*g - 1808*c^3*d^3*g + 112*b^2*c*e^3*f + 400*c^3*d^2*e*f - 423*b*c^2*d*e^2*f + 2712*b*c^2*d^2*e*g - 1356*b^2*c*d*e^2*g))/(945*e*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((50*b^2*c^3*e^3*f - 160*c^5*d^3*g + 38*b^3*c^2*e^3*g + 96*c^5*d^2*e*f - 136*b*c^4*d*e^2*f + 288*b*c^4*d^2*e*g - 178*b^2*c^3*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((8*c^4*e^2*(4*b*e*g - 5*c*d*g + c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (50*b^2*c^3*e^3*g + 32*b*c^4*e^3*f - 40*c^5*d*e^2*f + 96*c^5*d^2*e*g - 136*b*c^4*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (18*b^3*c^2*e^3*f - 80*b*c^4*d^3*g + 10*b^4*c*e^3*g + 48*b*c^4*d^2*e*f - 58*b^2*c^3*d*e^2*f + 120*b^2*c^3*d^2*e*g - 60*b^3*c^2*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((176*b^2*c^3*e^3*f - 1024*c^5*d^3*g + 200*b^3*c^2*e^3*g + 456*c^5*d^2*e*f - 568*b*c^4*d*e^2*f + 1764*b*c^4*d^2*e*g - 1024*b^2*c^3*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((4*c^4*e^2*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e - (176*b^2*c^3*e^3*g + 68*b*c^4*e^3*f - 112*c^5*d*e^2*f + 456*c^5*d^2*e*g - 568*b*c^4*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (72*b^3*c^2*e^3*f - 512*b*c^4*d^3*g + 64*b^4*c*e^3*g + 228*b*c^4*d^2*e*f - 256*b^2*c^3*d*e^2*f + 768*b^2*c^3*d^2*e*g - 384*b^3*c^2*d*e^2*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3","B"
2206,1,25236,210,53.397373,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^9,x)","\frac{\left(\frac{d\,\left(\frac{2784\,g\,b^3\,c^5\,e^3-15072\,g\,b^2\,c^6\,d\,e^2+1632\,f\,b^2\,c^6\,e^3+27392\,g\,b\,c^7\,d^2\,e-5504\,f\,b\,c^7\,d\,e^2-16704\,g\,c^8\,d^3+4672\,f\,c^8\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^6\,\left(51\,g\,b^2\,e^2-172\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+146\,g\,c^2\,d^2-26\,f\,c^2\,d\,e\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^7\,e\,\left(8\,b\,e\,g-13\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^8\,d\,e\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)}{e}\right)}{e}-\frac{1044\,g\,b^4\,c^4\,e^3-6264\,g\,b^3\,c^5\,d\,e^2+696\,f\,b^3\,c^5\,e^3+12528\,g\,b^2\,c^6\,d^2\,e-2544\,f\,b^2\,c^6\,d\,e^2-8352\,g\,b\,c^7\,d^3+2336\,f\,b\,c^7\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{3456\,g\,b^3\,c^5\,e^3-18784\,g\,b^2\,c^6\,d\,e^2+1952\,f\,b^2\,c^6\,e^3+34240\,g\,b\,c^7\,d^2\,e-6656\,f\,b\,c^7\,d\,e^2-20928\,g\,c^8\,d^3+5696\,f\,c^8\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^6\,\left(61\,g\,b^2\,e^2-208\,g\,b\,c\,d\,e+18\,f\,b\,c\,e^2+178\,g\,c^2\,d^2-30\,f\,c^2\,d\,e\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^7\,e\,\left(9\,b\,e\,g-15\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^8\,d\,e\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)}{e}\right)}{e}-\frac{1308\,g\,b^4\,c^4\,e^3-7848\,g\,b^3\,c^5\,d\,e^2+840\,f\,b^3\,c^5\,e^3+15696\,g\,b^2\,c^6\,d^2\,e-3088\,f\,b^2\,c^6\,d\,e^2-10464\,g\,b\,c^7\,d^3+2848\,f\,b\,c^7\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{4128\,g\,b^3\,c^5\,e^3-22496\,g\,b^2\,c^6\,d\,e^2+2272\,f\,b^2\,c^6\,e^3+41088\,g\,b\,c^7\,d^2\,e-7808\,f\,b\,c^7\,d\,e^2-25152\,g\,c^8\,d^3+6720\,f\,c^8\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^6\,\left(71\,g\,b^2\,e^2-244\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+210\,g\,c^2\,d^2-34\,f\,c^2\,d\,e\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^7\,e\,\left(10\,b\,e\,g-17\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^8\,d\,e\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)}{e}\right)}{e}-\frac{1572\,g\,b^4\,c^4\,e^3-9432\,g\,b^3\,c^5\,d\,e^2+984\,f\,b^3\,c^5\,e^3+18864\,g\,b^2\,c^6\,d^2\,e-3632\,f\,b^2\,c^6\,d\,e^2-12576\,g\,b\,c^7\,d^3+3360\,f\,b\,c^7\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{4800\,g\,b^3\,c^5\,e^3-26208\,g\,b^2\,c^6\,d\,e^2+2592\,f\,b^2\,c^6\,e^3+47936\,g\,b\,c^7\,d^2\,e-8960\,f\,b\,c^7\,d\,e^2-29376\,g\,c^8\,d^3+7744\,f\,c^8\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^6\,\left(81\,g\,b^2\,e^2-280\,g\,b\,c\,d\,e+22\,f\,b\,c\,e^2+242\,g\,c^2\,d^2-38\,f\,c^2\,d\,e\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{64\,c^7\,e\,\left(11\,b\,e\,g-19\,c\,d\,g+c\,e\,f\right)}{10395\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{64\,c^8\,d\,e\,g}{10395\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}\right)}{e}\right)}{e}-\frac{1836\,g\,b^4\,c^4\,e^3-11016\,g\,b^3\,c^5\,d\,e^2+1128\,f\,b^3\,c^5\,e^3+22032\,g\,b^2\,c^6\,d^2\,e-4176\,f\,b^2\,c^6\,d\,e^2-14688\,g\,b\,c^7\,d^3+3872\,f\,b\,c^7\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{4\,c^4\,e^2\,\left(17\,b\,e\,g-28\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{4\,c^3\,e\,\left(44\,g\,b^2\,e^2-142\,g\,b\,c\,d\,e+17\,f\,b\,c\,e^2+114\,g\,c^2\,d^2-28\,f\,c^2\,d\,e\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}+\frac{200\,g\,b^3\,c^2\,e^4-1024\,g\,b^2\,c^3\,d\,e^3+176\,f\,b^2\,c^3\,e^4+1764\,g\,b\,c^4\,d^2\,e^2-568\,f\,b\,c^4\,d\,e^3-1024\,g\,c^5\,d^3\,e+456\,f\,c^5\,d^2\,e^2}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{84\,g\,b^4\,c\,e^4-604\,g\,b^3\,c^2\,d\,e^3+132\,f\,b^3\,c^2\,e^4+1608\,g\,b^2\,c^3\,d^2\,e^2-616\,f\,b^2\,c^3\,d\,e^3-1872\,g\,b\,c^4\,d^3\,e+948\,f\,b\,c^4\,d^2\,e^2+800\,g\,c^5\,d^4-480\,f\,c^5\,d^3\,e}{99\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{1104\,g\,b^3\,c^5\,e^3-5792\,g\,b^2\,c^6\,d\,e^2+832\,f\,b^2\,c^6\,e^3+10272\,g\,b\,c^7\,d^2\,e-2624\,f\,b\,c^7\,d\,e^2-6144\,g\,c^8\,d^3+2112\,f\,c^8\,d^2\,e}{10395\,e\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{d\,\left(\frac{32\,c^6\,\left(26\,g\,b^2\,e^2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}{e}\right)}{e}-\frac{576\,g\,b^4\,c^3\,e^3-3456\,g\,b^3\,c^4\,d\,e^2+420\,f\,b^3\,c^4\,e^3+6912\,g\,b^2\,c^5\,d^2\,e-1536\,f\,b^2\,c^5\,d\,e^2-4608\,g\,b\,c^6\,d^3+1408\,f\,b\,c^6\,d^2\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{1836\,g\,b^3\,c^4\,e^3-9888\,g\,b^2\,c^5\,d\,e^2+1128\,f\,b^2\,c^5\,e^3+17856\,g\,b\,c^6\,d^2\,e-3840\,f\,b\,c^6\,d\,e^2-10816\,g\,c^7\,d^3+3264\,f\,c^7\,d^2\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^6\,e^2\,\left(21\,b\,e\,g-36\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^7\,d\,e^2\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,c^5\,e\,\left(47\,g\,b^2\,e^2-160\,g\,b\,c\,d\,e+14\,f\,b\,c\,e^2+136\,g\,c^2\,d^2-24\,f\,c^2\,d\,e\right)}{1155\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)}{e}-\frac{676\,g\,b^4\,c^3\,e^3-4056\,g\,b^3\,c^4\,d\,e^2+484\,f\,b^3\,c^4\,e^3+8112\,g\,b^2\,c^5\,d^2\,e-1776\,f\,b^2\,c^5\,d\,e^2-5408\,g\,b\,c^6\,d^3+1632\,f\,b\,c^6\,d^2\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{2\,f\,{\left(b\,e-c\,d\right)}^3}{11\,b\,e^2-22\,c\,d\,e}-\frac{d\,\left(\frac{2\,{\left(b\,e-c\,d\right)}^2\,\left(b\,e\,g-c\,d\,g+3\,c\,e\,f\right)}{11\,b\,e^2-22\,c\,d\,e}+\frac{d\,\left(\frac{d\,\left(\frac{2\,c^2\,e^2\,\left(3\,b\,e\,g-3\,c\,d\,g+c\,e\,f\right)}{11\,b\,e^2-22\,c\,d\,e}-\frac{2\,c^3\,d\,e^2\,g}{11\,b\,e^2-22\,c\,d\,e}\right)}{e}-\frac{6\,c\,e\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+c\,e\,f\right)}{11\,b\,e^2-22\,c\,d\,e}\right)}{e}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^6}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,e^2\,\left(18\,b\,e\,g-33\,c\,d\,g+c\,e\,f\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{16\,c^6\,d\,e^2\,g}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^4\,e\,\left(122\,g\,b^2\,e^2-452\,g\,b\,c\,d\,e+18\,f\,b\,c\,e^2+419\,g\,c^2\,d^2-33\,f\,c^2\,d\,e\right)}{693\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}+\frac{6208\,g\,b^3\,c^3\,e^4-35296\,g\,b^2\,c^4\,d\,e^3+1952\,f\,b^2\,c^4\,e^4+66976\,g\,b\,c^5\,d^2\,e^2-7232\,f\,b\,c^5\,d\,e^3-42416\,g\,c^6\,d^3\,e+6704\,f\,c^6\,d^2\,e^2}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)}{e}-\frac{16\,c^2\,\left(b\,e-c\,d\right)\,\left(283\,g\,b^3\,e^3-1698\,g\,b^2\,c\,d\,e^2+105\,f\,b^2\,c\,e^3+3396\,g\,b\,c^2\,d^2\,e-403\,f\,b\,c^2\,d\,e^2-2264\,g\,c^3\,d^3+387\,f\,c^3\,d^2\,e\right)}{693\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e^2\,\left(21\,b\,e\,g-39\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^7\,d\,e^2\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{32\,c^5\,e\,\left(176\,g\,b^2\,e^2-662\,g\,b\,c\,d\,e+21\,f\,b\,c\,e^2+623\,g\,c^2\,d^2-39\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}+\frac{24128\,g\,b^3\,c^4\,e^4-139136\,g\,b^2\,c^5\,d\,e^3+5632\,f\,b^2\,c^5\,e^4+267680\,g\,b\,c^6\,d^2\,e^2-21184\,f\,b\,c^6\,d\,e^3-171808\,g\,c^7\,d^3\,e+19936\,f\,c^7\,d^2\,e^2}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{32\,c^3\,\left(b\,e-c\,d\right)\,\left(598\,g\,b^3\,e^3-3588\,g\,b^2\,c\,d\,e^2+156\,f\,b^2\,c\,e^3+7176\,g\,b\,c^2\,d^2\,e-604\,f\,b\,c^2\,d\,e^2-4784\,g\,c^3\,d^3+585\,f\,c^3\,d^2\,e\right)}{3465\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{d\,\left(\frac{38\,g\,b^3\,c^2\,e^3-178\,g\,b^2\,c^3\,d\,e^2+50\,f\,b^2\,c^3\,e^3+288\,g\,b\,c^4\,d^2\,e-136\,f\,b\,c^4\,d\,e^2-160\,g\,c^5\,d^3+96\,f\,c^5\,d^2\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}+\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,e^2\,\left(4\,b\,e\,g-5\,c\,d\,g+c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{50\,g\,b^2\,c^3\,e^3-136\,g\,b\,c^4\,d\,e^2+32\,f\,b\,c^4\,e^3+96\,g\,c^5\,d^2\,e-40\,f\,c^5\,d\,e^2}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}\right)}{e}-\frac{10\,g\,b^4\,c\,e^3-60\,g\,b^3\,c^2\,d\,e^2+18\,f\,b^3\,c^2\,e^3+120\,g\,b^2\,c^3\,d^2\,e-58\,f\,b^2\,c^3\,d\,e^2-80\,g\,b\,c^4\,d^3+48\,f\,b\,c^4\,d^2\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{d\,\left(\frac{236\,g\,b^3\,c^2\,e^3-1212\,g\,b^2\,c^3\,d\,e^2+204\,f\,b^2\,c^3\,e^3+2092\,g\,b\,c^4\,d^2\,e-664\,f\,b\,c^4\,d\,e^2-1216\,g\,c^5\,d^3+536\,f\,c^5\,d^2\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}+\frac{d\,\left(\frac{d\,\left(\frac{4\,c^4\,e^2\,\left(19\,b\,e\,g-32\,c\,d\,g+2\,c\,e\,f\right)}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^5\,d\,e^2\,g}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}-\frac{204\,g\,b^2\,c^3\,e^3-664\,g\,b\,c^4\,d\,e^2+76\,f\,b\,c^4\,e^3+536\,g\,c^5\,d^2\,e-128\,f\,c^5\,d\,e^2}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)}{e}\right)}{e}-\frac{76\,g\,b^4\,c\,e^3-456\,g\,b^3\,c^2\,d\,e^2+84\,f\,b^3\,c^2\,e^3+912\,g\,b^2\,c^3\,d^2\,e-300\,f\,b^2\,c^3\,d\,e^2-608\,g\,b\,c^4\,d^3+268\,f\,b\,c^4\,d^2\,e}{99\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{6192\,g\,b^3\,c^4\,e^3-34584\,g\,b^2\,c^5\,d\,e^2+2568\,f\,b^2\,c^5\,e^3+64512\,g\,b\,c^6\,d^2\,e-9312\,f\,b\,c^6\,d\,e^2-40192\,g\,c^7\,d^3+8448\,f\,c^7\,d^2\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{32\,c^6\,e^2\,\left(15\,b\,e\,g-27\,c\,d\,g+c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^7\,d\,e^2\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{8\,c^5\,e\,\left(107\,g\,b^2\,e^2-388\,g\,b\,c\,d\,e+20\,f\,b\,c\,e^2+352\,g\,c^2\,d^2-36\,f\,c^2\,d\,e\right)}{1155\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)}{e}-\frac{8\,b\,c^3\,\left(314\,g\,b^3\,e^3-1884\,g\,b^2\,c\,d\,e^2+146\,f\,b^2\,c\,e^3+3768\,g\,b\,c^2\,d^2\,e-555\,f\,b\,c^2\,d\,e^2-2512\,g\,c^3\,d^3+528\,f\,c^3\,d^2\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{14368\,g\,b^3\,c^4\,e^3-82016\,g\,b^2\,c^5\,d\,e^2+4192\,f\,b^2\,c^5\,e^3+156240\,g\,b\,c^6\,d^2\,e-15584\,f\,b\,c^6\,d\,e^2-99328\,g\,c^7\,d^3+14496\,f\,c^7\,d^2\,e}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^6\,e^2\,\left(37\,b\,e\,g-68\,c\,d\,g+2\,c\,e\,f\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{32\,c^7\,d\,e^2\,g}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{16\,c^5\,e\,\left(262\,g\,b^2\,e^2-974\,g\,b\,c\,d\,e+37\,f\,b\,c\,e^2+906\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}\right)}{e}-\frac{16\,b\,c^3\,\left(388\,g\,b^3\,e^3-2328\,g\,b^2\,c\,d\,e^2+122\,f\,b^2\,c\,e^3+4656\,g\,b\,c^2\,d^2\,e-470\,f\,b\,c^2\,d\,e^2-3104\,g\,c^3\,d^3+453\,f\,c^3\,d^2\,e\right)}{3465\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((1632*b^2*c^6*e^3*f - 16704*c^8*d^3*g + 2784*b^3*c^5*e^3*g + 4672*c^8*d^2*e*f - 5504*b*c^7*d*e^2*f + 27392*b*c^7*d^2*e*g - 15072*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(51*b^2*e^2*g + 146*c^2*d^2*g + 16*b*c*e^2*f - 26*c^2*d*e*f - 172*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(8*b*e*g - 13*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (696*b^3*c^5*e^3*f + 1044*b^4*c^4*e^3*g - 8352*b*c^7*d^3*g + 2336*b*c^7*d^2*e*f - 2544*b^2*c^6*d*e^2*f + 12528*b^2*c^6*d^2*e*g - 6264*b^3*c^5*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((1952*b^2*c^6*e^3*f - 20928*c^8*d^3*g + 3456*b^3*c^5*e^3*g + 5696*c^8*d^2*e*f - 6656*b*c^7*d*e^2*f + 34240*b*c^7*d^2*e*g - 18784*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(61*b^2*e^2*g + 178*c^2*d^2*g + 18*b*c*e^2*f - 30*c^2*d*e*f - 208*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(9*b*e*g - 15*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (840*b^3*c^5*e^3*f + 1308*b^4*c^4*e^3*g - 10464*b*c^7*d^3*g + 2848*b*c^7*d^2*e*f - 3088*b^2*c^6*d*e^2*f + 15696*b^2*c^6*d^2*e*g - 7848*b^3*c^5*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((2272*b^2*c^6*e^3*f - 25152*c^8*d^3*g + 4128*b^3*c^5*e^3*g + 6720*c^8*d^2*e*f - 7808*b*c^7*d*e^2*f + 41088*b*c^7*d^2*e*g - 22496*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(71*b^2*e^2*g + 210*c^2*d^2*g + 20*b*c*e^2*f - 34*c^2*d*e*f - 244*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(10*b*e*g - 17*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (984*b^3*c^5*e^3*f + 1572*b^4*c^4*e^3*g - 12576*b*c^7*d^3*g + 3360*b*c^7*d^2*e*f - 3632*b^2*c^6*d*e^2*f + 18864*b^2*c^6*d^2*e*g - 9432*b^3*c^5*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((2592*b^2*c^6*e^3*f - 29376*c^8*d^3*g + 4800*b^3*c^5*e^3*g + 7744*c^8*d^2*e*f - 8960*b*c^7*d*e^2*f + 47936*b*c^7*d^2*e*g - 26208*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(81*b^2*e^2*g + 242*c^2*d^2*g + 22*b*c*e^2*f - 38*c^2*d*e*f - 280*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(11*b*e*g - 19*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (1128*b^3*c^5*e^3*f + 1836*b^4*c^4*e^3*g - 14688*b*c^7*d^3*g + 3872*b*c^7*d^2*e*f - 4176*b^2*c^6*d*e^2*f + 22032*b^2*c^6*d^2*e*g - 11016*b^3*c^5*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((d*((4*c^4*e^2*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*c^3*e*(44*b^2*e^2*g + 114*c^2*d^2*g + 17*b*c*e^2*f - 28*c^2*d*e*f - 142*b*c*d*e*g))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (176*b^2*c^3*e^4*f + 200*b^3*c^2*e^4*g + 456*c^5*d^2*e^2*f - 1024*c^5*d^3*e*g - 568*b*c^4*d*e^3*f + 1764*b*c^4*d^2*e^2*g - 1024*b^2*c^3*d*e^3*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (800*c^5*d^4*g + 132*b^3*c^2*e^4*f + 84*b^4*c*e^4*g - 480*c^5*d^3*e*f - 1872*b*c^4*d^3*e*g + 948*b*c^4*d^2*e^2*f - 616*b^2*c^3*d*e^3*f - 604*b^3*c^2*d*e^3*g + 1608*b^2*c^3*d^2*e^2*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((832*b^2*c^6*e^3*f - 6144*c^8*d^3*g + 1104*b^3*c^5*e^3*g + 2112*c^8*d^2*e*f - 2624*b*c^7*d*e^2*f + 10272*b*c^7*d^2*e*g - 5792*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(26*b^2*e^2*g + 66*c^2*d^2*g + 11*b*c*e^2*f - 16*c^2*d*e*f - 82*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(11*b*e*g - 16*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (16*b*c^4*(24*b^3*e^3*g - 192*c^3*d^3*g + 21*b^2*c*e^3*f + 66*c^3*d^2*e*f - 74*b*c^2*d*e^2*f + 288*b*c^2*d^2*e*g - 144*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((3312*b^2*c^6*e^3*f - 49408*c^8*d^3*g + 7656*b^3*c^5*e^3*g + 10496*c^8*d^2*e*f - 11776*b*c^7*d*e^2*f + 79360*b*c^7*d^2*e*g - 42624*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(207*b^2*e^2*g + 656*c^2*d^2*g + 46*b*c*e^2*f - 80*c^2*d*e*f - 736*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(386*b^3*e^3*g - 3088*c^3*d^3*g + 185*b^2*c*e^3*f + 656*c^3*d^2*e*f - 696*b*c^2*d*e^2*f + 4632*b*c^2*d^2*e*g - 2316*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((3792*b^2*c^6*e^3*f - 58752*c^8*d^3*g + 9048*b^3*c^5*e^3*g + 12160*c^8*d^2*e*f - 13568*b*c^7*d*e^2*f + 94208*b*c^7*d^2*e*g - 50496*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(237*b^2*e^2*g + 760*c^2*d^2*g + 50*b*c*e^2*f - 88*c^2*d*e*f - 848*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(459*b^3*e^3*g - 3672*c^3*d^3*g + 213*b^2*c*e^3*f + 760*c^3*d^2*e*f - 804*b*c^2*d*e^2*f + 5508*b*c^2*d^2*e*g - 2754*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4272*b^2*c^6*e^3*f - 68096*c^8*d^3*g + 10440*b^3*c^5*e^3*g + 13824*c^8*d^2*e*f - 15360*b*c^7*d*e^2*f + 109056*b*c^7*d^2*e*g - 58368*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(89*b^2*e^2*g + 288*c^2*d^2*g + 18*b*c*e^2*f - 32*c^2*d*e*f - 320*b*c*d*e*g))/(3465*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(532*b^3*e^3*g - 4256*c^3*d^3*g + 241*b^2*c*e^3*f + 864*c^3*d^2*e*f - 912*b*c^2*d*e^2*f + 6384*b*c^2*d^2*e*g - 3192*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4400*b^2*c^6*e^3*f - 72192*c^8*d^3*g + 11016*b^3*c^5*e^3*g + 14336*c^8*d^2*e*f - 15872*b*c^7*d*e^2*f + 115456*b*c^7*d^2*e*g - 61696*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(275*b^2*e^2*g + 896*c^2*d^2*g + 54*b*c*e^2*f - 96*c^2*d*e*f - 992*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(564*b^3*e^3*g - 4512*c^3*d^3*g + 249*b^2*c*e^3*f + 896*c^3*d^2*e*f - 944*b*c^2*d*e^2*f + 6768*b*c^2*d^2*e*g - 3384*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4944*b^2*c^6*e^3*f - 83584*c^8*d^3*g + 12696*b^3*c^5*e^3*g + 16256*c^8*d^2*e*f - 17920*b*c^7*d*e^2*f + 133504*b*c^7*d^2*e*g - 71232*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(309*b^2*e^2*g + 1016*c^2*d^2*g + 58*b*c*e^2*f - 104*c^2*d*e*f - 1120*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(653*b^3*e^3*g - 5224*c^3*d^3*g + 281*b^2*c*e^3*f + 1016*c^3*d^2*e*f - 1068*b*c^2*d*e^2*f + 7836*b*c^2*d^2*e*g - 3918*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((5616*b^2*c^6*e^3*f - 99072*c^8*d^3*g + 14952*b^3*c^5*e^3*g + 18688*c^8*d^2*e*f - 20480*b*c^7*d*e^2*f + 157952*b*c^7*d^2*e*g - 84096*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(351*b^2*e^2*g + 1168*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1280*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (8*b*c^4*(774*b^3*e^3*g - 6192*c^3*d^3*g + 321*b^2*c*e^3*f + 1168*c^3*d^2*e*f - 1224*b*c^2*d*e^2*f + 9288*b*c^2*d^2*e*g - 4644*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((6480*b^2*c^6*e^3*f - 143872*c^8*d^3*g + 20976*b^3*c^5*e^3*g + 22016*c^8*d^2*e*f - 23872*b*c^7*d*e^2*f + 226816*b*c^7*d^2*e*g - 119376*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(405*b^2*e^2*g + 1376*c^2*d^2*g + 64*b*c*e^2*f - 116*c^2*d*e*f - 1492*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(16*b*e*g - 29*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (16*b*c^4*(562*b^3*e^3*g - 4496*c^3*d^3*g + 187*b^2*c*e^3*f + 688*c^3*d^2*e*f - 717*b*c^2*d*e^2*f + 6744*b*c^2*d^2*e*g - 3372*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7184*b^2*c^6*e^3*f - 164864*c^8*d^3*g + 23936*b^3*c^5*e^3*g + 24576*c^8*d^2*e*f - 26560*b*c^7*d*e^2*f + 259584*b*c^7*d^2*e*g - 136432*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(449*b^2*e^2*g + 1536*c^2*d^2*g + 68*b*c*e^2*f - 124*c^2*d*e*f - 1660*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(17*b*e*g - 31*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (16*b*c^4*(644*b^3*e^3*g - 5152*c^3*d^3*g + 208*b^2*c*e^3*f + 768*c^3*d^2*e*f - 799*b*c^2*d*e^2*f + 7728*b*c^2*d^2*e*g - 3864*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8016*b^2*c^6*e^3*f - 192512*c^8*d^3*g + 27792*b^3*c^5*e^3*g + 27648*c^8*d^2*e*f - 29760*b*c^7*d*e^2*f + 302592*b*c^7*d^2*e*g - 158736*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(167*b^2*e^2*g + 576*c^2*d^2*g + 24*b*c*e^2*f - 44*c^2*d*e*f - 620*b*c*d*e*g))/(3465*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(18*b*e*g - 33*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (16*b*c^4*(752*b^3*e^3*g - 6016*c^3*d^3*g + 233*b^2*c*e^3*f + 864*c^3*d^2*e*f - 897*b*c^2*d*e^2*f + 9024*b*c^2*d^2*e*g - 4512*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8976*b^2*c^6*e^3*f - 229888*c^8*d^3*g + 32928*b^3*c^5*e^3*g + 31232*c^8*d^2*e*f - 33472*b*c^7*d*e^2*f + 360448*b*c^7*d^2*e*g - 188592*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((16*c^6*(561*b^2*e^2*g + 1952*c^2*d^2*g + 76*b*c*e^2*f - 140*c^2*d*e*f - 2092*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(19*b*e*g - 35*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (16*b*c^4*(898*b^3*e^3*g - 7184*c^3*d^3*g + 262*b^2*c*e^3*f + 976*c^3*d^2*e*f - 1011*b*c^2*d*e^2*f + 10776*b*c^2*d^2*e*g - 5388*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((11936*b^2*c^6*e^3*f - 386048*c^8*d^3*g + 53888*b^3*c^5*e^3*g + 42432*c^8*d^2*e*f - 44992*b*c^7*d*e^2*f + 600288*b*c^7*d^2*e*g - 311392*b^2*c^6*d*e^2*g)/(10395*e*(b*e - 2*c*d)^6) - (d*((32*c^6*(373*b^2*e^2*g + 1326*c^2*d^2*g + 43*b*c*e^2*f - 80*c^2*d*e*f - 1406*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(43*b*e*g - 80*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (32*b*c^4*(754*b^3*e^3*g - 6032*c^3*d^3*g + 176*b^2*c*e^3*f + 663*c^3*d^2*e*f - 683*b*c^2*d*e^2*f + 9048*b*c^2*d^2*e*g - 4524*b^2*c*d*e^2*g))/(10395*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((484*b^2*c^4*e^3*f - 3776*c^6*d^3*g + 676*b^3*c^3*e^3*g + 1344*c^6*d^2*e*f - 1616*b*c^5*d*e^2*f + 6336*b*c^5*d^2*e*g - 3572*b^2*c^4*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(10*b*e*g - 17*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (484*b^2*c^4*e^3*g + 160*b*c^5*e^3*f - 272*c^6*d*e^2*f + 1344*c^6*d^2*e*g - 1616*b*c^5*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (204*b^3*c^3*e^3*f + 236*b^4*c^2*e^3*g - 1888*b*c^5*d^3*g + 672*b*c^5*d^2*e*f - 740*b^2*c^4*d*e^2*f + 2832*b^2*c^4*d^2*e*g - 1416*b^3*c^3*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((1312*b^2*c^6*e^4*f + 2112*b^3*c^5*e^4*g + 3648*c^8*d^2*e^2*f - 12480*c^8*d^3*e*g - 4352*b*c^7*d*e^3*f + 20544*b*c^7*d^2*e^2*g - 11360*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^6*(41*b^2*e^2*g + 114*c^2*d^2*g + 14*b*c*e^2*f - 22*c^2*d*e*f - 136*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(7*b*e*g - 11*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (12288*c^8*d^4*g + 1080*b^3*c^5*e^4*f + 1284*b^4*c^4*e^4*g - 4224*c^8*d^3*e*f - 28704*b*c^7*d^3*e*g + 8160*b*c^7*d^2*e^2*f - 5168*b^2*c^6*d*e^3*f - 9240*b^3*c^5*d*e^3*g + 24624*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((2352*b^2*c^6*e^4*f + 4872*b^3*c^5*e^4*g + 7168*c^8*d^2*e^2*f - 30720*c^8*d^3*e*g - 8192*b*c^7*d*e^3*f + 49664*b*c^7*d^2*e^2*g - 26880*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(147*b^2*e^2*g + 448*c^2*d^2*g + 38*b*c*e^2*f - 64*c^2*d*e*f - 512*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (21312*c^8*d^4*g + 1600*b^3*c^5*e^4*f + 2968*b^4*c^4*e^4*g - 4544*c^8*d^3*e*f - 55712*b*c^7*d^3*e*g + 10400*b*c^7*d^2*e^2*f - 7248*b^2*c^6*d*e^3*f - 20472*b^3*c^5*d*e^3*g + 51600*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((2768*b^2*c^6*e^4*f + 5976*b^3*c^5*e^4*g + 8576*c^8*d^2*e^2*f - 38016*c^8*d^3*e*g - 9728*b*c^7*d*e^3*f + 61312*b*c^7*d^2*e^2*g - 33088*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(173*b^2*e^2*g + 536*c^2*d^2*g + 42*b*c*e^2*f - 72*c^2*d*e*f - 608*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (41856*c^8*d^4*g + 2648*b^3*c^5*e^4*f + 4280*b^4*c^4*e^4*g - 11392*c^8*d^3*e*f - 97024*b*c^7*d^3*e*g + 21376*b*c^7*d^2*e^2*f - 13120*b^2*c^6*d*e^3*f - 30912*b^3*c^5*d*e^3*g + 82752*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((3184*b^2*c^6*e^4*f + 7080*b^3*c^5*e^4*g + 9984*c^8*d^2*e^2*f - 45312*c^8*d^3*e*g - 11264*b*c^7*d*e^3*f + 72960*b*c^7*d^2*e^2*g - 39296*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(199*b^2*e^2*g + 624*c^2*d^2*g + 46*b*c*e^2*f - 80*c^2*d*e*f - 704*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (50304*c^8*d^4*g + 3096*b^3*c^5*e^4*f + 5136*b^4*c^4*e^4*g - 13440*c^8*d^3*e*f - 116544*b*c^7*d^3*e*g + 25152*b*c^7*d^2*e^2*f - 15392*b^2*c^6*d*e^3*f - 37104*b^3*c^5*d*e^3*g + 99360*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((3600*b^2*c^6*e^4*f + 8184*b^3*c^5*e^4*g + 11392*c^8*d^2*e^2*f - 52608*c^8*d^3*e*g - 12800*b*c^7*d*e^3*f + 84608*b*c^7*d^2*e^2*g - 45504*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(225*b^2*e^2*g + 712*c^2*d^2*g + 50*b*c*e^2*f - 88*c^2*d*e*f - 800*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (58752*c^8*d^4*g + 3544*b^3*c^5*e^4*f + 5992*b^4*c^4*e^4*g - 15488*c^8*d^3*e*f - 136064*b*c^7*d^3*e*g + 28928*b*c^7*d^2*e^2*f - 17664*b^2*c^6*d*e^3*f - 43296*b^3*c^5*d*e^3*g + 115968*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((4368*b^2*c^6*e^4*f + 12096*b^3*c^5*e^4*g + 14336*c^8*d^2*e^2*f - 80896*c^8*d^3*e*g - 15808*b*c^7*d*e^3*f + 128512*b*c^7*d^2*e^2*g - 68208*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(273*b^2*e^2*g + 896*c^2*d^2*g + 52*b*c*e^2*f - 92*c^2*d*e*f - 988*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(13*b*e*g - 23*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (72576*c^8*d^4*g + 3984*b^3*c^5*e^4*f + 8592*b^4*c^4*e^4*g - 16000*c^8*d^3*e*f - 177600*b*c^7*d^3*e*g + 31168*b*c^7*d^2*e^2*f - 19536*b^2*c^6*d*e^3*f - 60624*b^3*c^5*d*e^3*g + 157536*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((4944*b^2*c^6*e^4*f + 14160*b^3*c^5*e^4*g + 16384*c^8*d^2*e^2*f - 95232*c^8*d^3*e*g - 17984*b*c^7*d*e^3*f + 151040*b*c^7*d^2*e^2*g - 80016*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(309*b^2*e^2*g + 1024*c^2*d^2*g + 56*b*c*e^2*f - 100*c^2*d*e*f - 1124*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(14*b*e*g - 25*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (62208*c^8*d^4*g + 3184*b^3*c^5*e^4*f + 9376*b^4*c^4*e^4*g - 7424*c^8*d^3*e*f - 168320*b*c^7*d^3*e*g + 19328*b*c^7*d^2*e^2*f - 14160*b^2*c^6*d*e^3*f - 64032*b^3*c^5*d*e^3*g + 159168*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((5520*b^2*c^6*e^4*f + 16224*b^3*c^5*e^4*g + 18432*c^8*d^2*e^2*f - 109568*c^8*d^3*e*g - 20160*b*c^7*d*e^3*f + 173568*b*c^7*d^2*e^2*g - 91824*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(115*b^2*e^2*g + 384*c^2*d^2*g + 20*b*c*e^2*f - 36*c^2*d*e*f - 420*b*c*d*e*g))/(3465*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(15*b*e*g - 27*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (71296*c^8*d^4*g + 3536*b^3*c^5*e^4*f + 10800*b^4*c^4*e^4*g - 8064*c^8*d^3*e*f - 193344*b*c^7*d^3*e*g + 21312*b*c^7*d^2*e^2*f - 15696*b^2*c^6*d*e^3*f - 73712*b^3*c^5*d*e^3*g + 183072*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((5648*b^2*c^6*e^4*f + 16992*b^3*c^5*e^4*g + 18944*c^8*d^2*e^2*f - 115200*c^8*d^3*e*g - 20672*b*c^7*d*e^3*f + 182272*b*c^7*d^2*e^2*g - 96304*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(353*b^2*e^2*g + 1184*c^2*d^2*g + 60*b*c*e^2*f - 108*c^2*d*e*f - 1292*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(15*b*e*g - 27*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (144384*c^8*d^4*g + 6176*b^3*c^5*e^4*f + 14432*b^4*c^4*e^4*g - 28672*c^8*d^3*e*f - 332032*b*c^7*d^3*e*g + 52480*b*c^7*d^2*e^2*f - 31408*b^2*c^6*d*e^3*f - 104640*b^3*c^5*d*e^3*g + 281472*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((6288*b^2*c^6*e^4*f + 19440*b^3*c^5*e^4*g + 21248*c^8*d^2*e^2*f - 132352*c^8*d^3*e*g - 23104*b*c^7*d*e^3*f + 209152*b*c^7*d^2*e^2*g - 110352*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(393*b^2*e^2*g + 1328*c^2*d^2*g + 64*b*c*e^2*f - 116*c^2*d*e*f - 1444*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(16*b*e*g - 29*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (167168*c^8*d^4*g + 6960*b^3*c^5*e^4*f + 16688*b^4*c^4*e^4*g - 32512*c^8*d^3*e*f - 384256*b*c^7*d^3*e*g + 59392*b*c^7*d^2*e^2*f - 35472*b^2*c^6*d*e^3*f - 121024*b^3*c^5*d*e^3*g + 325632*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7056*b^2*c^6*e^4*f + 22656*b^3*c^5*e^4*g + 24064*c^8*d^2*e^2*f - 155136*c^8*d^3*e*g - 26048*b*c^7*d*e^3*f + 244736*b*c^7*d^2*e^2*g - 128880*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((16*c^6*(441*b^2*e^2*g + 1504*c^2*d^2*g + 68*b*c*e^2*f - 124*c^2*d*e*f - 1628*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(17*b*e*g - 31*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (198144*c^8*d^4*g + 7936*b^3*c^5*e^4*f + 19744*b^4*c^4*e^4*g - 37376*c^8*d^3*e*f - 455168*b*c^7*d^3*e*g + 68096*b*c^7*d^2*e^2*f - 40560*b^2*c^6*d*e^3*f - 143232*b^3*c^5*d*e^3*g + 385536*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((7968*b^2*c^6*e^4*f + 29952*b^3*c^5*e^4*g + 27584*c^8*d^2*e^2*f - 209920*c^8*d^3*e*g - 29632*b*c^7*d*e^3*f + 328672*b*c^7*d^2*e^2*g - 171744*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^6*(249*b^2*e^2*g + 862*c^2*d^2*g + 35*b*c*e^2*f - 64*c^2*d*e*f - 926*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (178176*c^8*d^4*g + 6144*b^3*c^5*e^4*f + 23040*b^4*c^4*e^4*g - 19456*c^8*d^3*e*f - 451584*b*c^7*d^3*e*g + 42976*b*c^7*d^2*e^2*f - 28896*b^2*c^6*d*e^3*f - 160512*b^3*c^5*d*e^3*g + 410112*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((9696*b^2*c^6*e^4*f + 38976*b^3*c^5*e^4*g + 33984*c^8*d^2*e^2*f - 275456*c^8*d^3*e*g - 36288*b*c^7*d*e^3*f + 430176*b*c^7*d^2*e^2*g - 224160*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^6*(101*b^2*e^2*g + 354*c^2*d^2*g + 13*b*c*e^2*f - 24*c^2*d*e*f - 378*b*c*d*e*g))/(3465*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (143872*c^8*d^4*g + 5120*b^3*c^5*e^4*f + 25920*b^4*c^4*e^4*g - 4608*c^8*d^3*e*f - 423168*b*c^7*d^3*e*g + 23904*b*c^7*d^2*e^2*f - 21024*b^2*c^6*d*e^3*f - 173504*b^3*c^5*d*e^3*g + 418944*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((8768*b^2*c^6*e^4*f + 33920*b^3*c^5*e^4*g + 30528*c^8*d^2*e^2*f - 238592*c^8*d^3*e*g - 32704*b*c^7*d*e^3*f + 373152*b*c^7*d^2*e^2*g - 194752*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^6*(274*b^2*e^2*g + 954*c^2*d^2*g + 37*b*c*e^2*f - 68*c^2*d*e*f - 1022*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (248576*c^8*d^4*g + 10144*b^3*c^5*e^4*f + 27424*b^4*c^4*e^4*g - 48384*c^8*d^3*e*f - 592256*b*c^7*d^3*e*g + 87840*b*c^7*d^2*e^2*f - 52096*b^2*c^6*d*e^3*f - 195616*b^3*c^5*d*e^3*g + 515520*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((10752*b^2*c^6*e^4*f + 45504*b^3*c^5*e^4*g + 37952*c^8*d^2*e^2*f - 323584*c^8*d^3*e*g - 40384*b*c^7*d*e^3*f + 504352*b*c^7*d^2*e^2*g - 262272*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((32*c^6*(336*b^2*e^2*g + 1186*c^2*d^2*g + 41*b*c*e^2*f - 76*c^2*d*e*f - 1262*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((32*c^7*e*(41*b*e*g - 76*c*d*g + 2*c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (459776*c^8*d^4*g + 12864*b^3*c^5*e^4*f + 45056*b^4*c^4*e^4*g - 62464*c^8*d^3*e*f - 1050112*b*c^7*d^3*e*g + 112672*b*c^7*d^2*e^2*f - 66432*b^2*c^6*d*e^3*f - 327808*b^3*c^5*d*e^3*g + 885504*b^2*c^6*d^2*e^2*g)/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b^4*e^3*g - 16*b*c^3*d^3*g + 6*b^3*c*e^3*f + 14*b*c^3*d^2*e*f - 12*b^3*c*d*e^2*g - 18*b^2*c^2*d*e^2*f + 24*b^2*c^2*d^2*e*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (d*((18*b^2*c^2*e^3*f - 32*c^4*d^3*g + 10*b^3*c*e^3*g + 28*c^4*d^2*e*f - 44*b*c^3*d*e^2*f + 62*b*c^3*d^2*e*g - 42*b^2*c^2*d*e^2*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) + (d*((d*((2*c^3*e^2*(7*b*e*g - 8*c*d*g + 2*c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (18*b^2*c^2*e^3*g + 14*b*c^3*e^3*f - 16*c^4*d*e^2*f + 28*c^4*d^2*e*g - 44*b*c^3*d*e^2*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((1168*b^2*c^4*e^3*f - 15872*c^6*d^3*g + 2512*b^3*c^3*e^3*g + 3792*c^6*d^2*e*f - 4208*b*c^5*d*e^2*f + 25704*b*c^5*d^2*e*g - 13904*b^2*c^4*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (1168*b^2*c^4*e^3*g + 232*b*c^5*e^3*f - 416*c^6*d*e^2*f + 3792*c^6*d^2*e*g - 4208*b*c^5*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (8*b*c^2*(124*b^3*e^3*g - 992*c^3*d^3*g + 66*b^2*c*e^3*f + 237*c^3*d^2*e*f - 250*b*c^2*d*e^2*f + 1488*b*c^2*d^2*e*g - 744*b^2*c*d*e^2*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((1992*b^2*c^5*e^3*f - 28928*c^7*d^3*g + 4512*b^3*c^4*e^3*g + 6400*c^7*d^2*e*f - 7136*b*c^6*d*e^2*f + 46592*b*c^6*d^2*e*g - 25080*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(13*b*e*g - 23*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (1992*b^2*c^5*e^3*g + 416*b*c^6*e^3*f - 736*c^7*d*e^2*f + 6400*c^7*d^2*e*g - 7136*b*c^6*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(226*b^3*e^3*g - 1808*c^3*d^3*g + 112*b^2*c*e^3*f + 400*c^3*d^2*e*f - 423*b*c^2*d*e^2*f + 2712*b*c^2*d^2*e*g - 1356*b^2*c*d*e^2*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2248*b^2*c^5*e^3*f - 33664*c^7*d^3*g + 5224*b^3*c^4*e^3*g + 7296*c^7*d^2*e*f - 8096*b*c^6*d*e^2*f + 54144*b*c^6*d^2*e*g - 29096*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(14*b*e*g - 25*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2248*b^2*c^5*e^3*g + 448*b*c^6*e^3*f - 800*c^7*d*e^2*f + 7296*c^7*d^2*e*g - 8096*b*c^6*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(263*b^3*e^3*g - 2104*c^3*d^3*g + 127*b^2*c*e^3*f + 456*c^3*d^2*e*f - 481*b*c^2*d*e^2*f + 3156*b*c^2*d^2*e*g - 1578*b^2*c*d*e^2*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((8*c^4*e^2*(14*b*e*g - 25*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c^3*e*(66*b^2*e^2*g + 211*c^2*d^2*g + 14*b*c*e^2*f - 25*c^2*d*e*f - 236*b*c*d*e*g))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e + (528*b^2*c^3*e^4*f + 992*b^3*c^2*e^4*g + 1688*c^5*d^2*e^2*f - 6040*c^5*d^3*e*g - 1888*b*c^4*d*e^3*f + 9904*b*c^4*d^2*e^2*g - 5424*b^2*c^3*d*e^3*g)/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(71*b^3*e^3*g - 568*c^3*d^3*g + 53*b^2*c*e^3*f + 187*c^3*d^2*e*f - 199*b*c^2*d*e^2*f + 852*b*c^2*d^2*e*g - 426*b^2*c*d*e^2*g))/(99*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((d*((16*c^5*e^2*(8*b*e*g - 13*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(89*b^2*e^2*g + 240*c^2*d^2*g + 32*b*c*e^2*f - 52*c^2*d*e*f - 292*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (356*b^2*c^4*e^4*f + 476*b^3*c^3*e^4*g + 960*c^6*d^2*e^2*f - 2624*c^6*d^3*e*g - 1168*b*c^5*d*e^3*f + 4416*b*c^5*d^2*e^2*g - 2500*b^2*c^4*d*e^3*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (2432*c^6*d^4*g + 292*b^3*c^3*e^4*f + 244*b^4*c^2*e^4*g - 1152*c^6*d^3*e*f - 5600*b*c^5*d^3*e*g + 2208*b*c^5*d^2*e^2*f - 1396*b^2*c^4*d*e^3*f - 1768*b^3*c^3*d*e^3*g + 4752*b^2*c^4*d^2*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((16*c^6*e^2*(15*b*e*g - 24*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(29*b^2*e^2*g + 80*c^2*d^2*g + 10*b*c*e^2*f - 16*c^2*d*e*f - 96*b*c*d*e*g))/(1155*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (696*b^2*c^5*e^4*f + 1044*b^3*c^4*e^4*g + 1920*c^7*d^2*e^2*f - 6016*c^7*d^3*e*g - 2304*b*c^6*d*e^3*f + 9984*b*c^6*d^2*e^2*g - 5568*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (6048*c^7*d^4*g + 592*b^3*c^4*e^4*f + 604*b^4*c^3*e^4*g - 2400*c^7*d^3*e*f - 13904*b*c^6*d^3*e*g + 4560*b*c^6*d^2*e^2*f - 2856*b^2*c^5*d*e^3*f - 4380*b^3*c^4*d*e^3*g + 11784*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((8*c^5*e^2*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(112*b^2*e^2*g + 354*c^2*d^2*g + 25*b*c*e^2*f - 44*c^2*d*e*f - 398*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (896*b^2*c^4*e^4*f + 1808*b^3*c^3*e^4*g + 2832*c^6*d^2*e^2*f - 11264*c^6*d^3*e*g - 3184*b*c^5*d*e^3*f + 18312*b*c^5*d^2*e^2*g - 9952*b^2*c^4*d*e^3*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (8000*c^6*d^4*g + 616*b^3*c^3*e^4*f + 1096*b^4*c^2*e^4*g - 1728*c^6*d^3*e*f - 20768*b*c^5*d^3*e*g + 4008*b*c^5*d^2*e^2*f - 2800*b^2*c^4*d*e^3*f - 7576*b^3*c^3*d*e^3*g + 19152*b^2*c^4*d^2*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((8*c^5*e^2*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(127*b^2*e^2*g + 406*c^2*d^2*g + 27*b*c*e^2*f - 48*c^2*d*e*f - 454*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (1016*b^2*c^4*e^4*f + 2104*b^3*c^3*e^4*g + 3248*c^6*d^2*e^2*f - 13184*c^6*d^3*e*g - 3632*b*c^5*d*e^3*f + 21400*b*c^5*d^2*e^2*g - 11608*b^2*c^4*d*e^3*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (15104*c^6*d^4*g + 1128*b^3*c^3*e^4*f + 1432*b^4*c^2*e^4*g - 5376*c^6*d^3*e*f - 34112*b*c^5*d^3*e*g + 9688*b*c^5*d^2*e^2*f - 5752*b^2*c^4*d*e^3*f - 10480*b^3*c^3*d*e^3*g + 28512*b^2*c^4*d^2*e^2*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((32*c^6*e^2*(11*b*e*g - 19*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(185*b^2*e^2*g + 576*c^2*d^2*g + 44*b*c*e^2*f - 76*c^2*d*e*f - 652*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (1480*b^2*c^5*e^4*f + 3088*b^3*c^4*e^4*g + 4608*c^7*d^2*e^2*f - 19456*c^7*d^3*e*g - 5216*b*c^6*d*e^3*f + 31488*b*c^6*d^2*e^2*g - 17048*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (13120*c^7*d^4*g + 968*b^3*c^4*e^4*f + 1880*b^4*c^3*e^4*g - 2496*c^7*d^3*e*f - 34720*b*c^6*d^3*e*g + 6048*b*c^6*d^2*e^2*f - 4328*b^2*c^5*d*e^3*f - 12920*b^3*c^4*d*e^3*g + 32400*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((32*c^6*e^2*(12*b*e*g - 21*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(71*b^2*e^2*g + 224*c^2*d^2*g + 16*b*c*e^2*f - 28*c^2*d*e*f - 252*b*c*d*e*g))/(1155*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (1704*b^2*c^5*e^4*f + 3672*b^3*c^4*e^4*g + 5376*c^7*d^2*e^2*f - 23296*c^7*d^3*e*g - 6048*b*c^6*d*e^3*f + 37632*b*c^6*d^2*e^2*g - 20328*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (27648*c^7*d^4*g + 1816*b^3*c^4*e^4*f + 2656*b^4*c^3*e^4*g - 8448*c^7*d^3*e*f - 62720*b*c^6*d^3*e*g + 15360*b*c^6*d^2*e^2*f - 9192*b^2*c^5*d*e^3*f - 19392*b^3*c^4*d*e^3*g + 52608*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((32*c^6*e^2*(13*b*e*g - 23*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(241*b^2*e^2*g + 768*c^2*d^2*g + 52*b*c*e^2*f - 92*c^2*d*e*f - 860*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (1928*b^2*c^5*e^4*f + 4256*b^3*c^4*e^4*g + 6144*c^7*d^2*e^2*f - 27136*c^7*d^3*e*g - 6880*b*c^6*d*e^3*f + 43776*b*c^6*d^2*e^2*g - 23608*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (32448*c^7*d^4*g + 2088*b^3*c^4*e^4*f + 3112*b^4*c^3*e^4*g - 9792*c^7*d^3*e*f - 73568*b*c^6*d^3*e*g + 17760*b*c^6*d^2*e^2*f - 10600*b^2*c^5*d*e^3*f - 22728*b^3*c^4*d*e^3*g + 61680*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(208*b^2*e^2*g + 706*c^2*d^2*g + 33*b*c*e^2*f - 60*c^2*d*e*f - 766*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (3328*b^2*c^5*e^4*f + 10304*b^3*c^4*e^4*g + 11296*c^7*d^2*e^2*f - 70144*c^7*d^3*e*g - 12256*b*c^6*d*e^3*f + 110864*b*c^6*d^2*e^2*g - 58496*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (40576*c^7*d^4*g + 1584*b^3*c^4*e^4*f + 6896*b^4*c^3*e^4*g - 384*c^7*d^3*e*f - 116032*b*c^6*d^3*e*g + 6224*b*c^6*d^2*e^2*f - 6176*b^2*c^5*d*e^3*f - 46448*b^3*c^4*d*e^3*g + 113184*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(187*b^2*e^2*g + 630*c^2*d^2*g + 31*b*c*e^2*f - 56*c^2*d*e*f - 686*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (2992*b^2*c^5*e^4*f + 8992*b^3*c^4*e^4*g + 10080*c^7*d^2*e^2*f - 60928*c^7*d^3*e*g - 10976*b*c^6*d*e^3*f + 96432*b*c^6*d^2*e^2*g - 50960*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (54784*c^7*d^4*g + 2912*b^3*c^4*e^4*f + 6464*b^4*c^3*e^4*g - 12288*c^7*d^3*e*f - 133888*b*c^6*d^3*e*g + 23472*b*c^6*d^2*e^2*f - 14480*b^2*c^5*d*e^3*f - 45632*b^3*c^4*d*e^3*g + 118656*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(233*b^2*e^2*g + 798*c^2*d^2*g + 35*b*c*e^2*f - 64*c^2*d*e*f - 862*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (3728*b^2*c^5*e^4*f + 12032*b^3*c^4*e^4*g + 12768*c^7*d^2*e^2*f - 82432*c^7*d^3*e*g - 13792*b*c^6*d*e^3*f + 130032*b*c^6*d^2*e^2*g - 68464*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (120576*c^7*d^4*g + 4896*b^3*c^4*e^4*f + 11104*b^4*c^3*e^4*g - 25344*c^7*d^3*e*f - 269696*b*c^6*d^3*e*g + 44400*b*c^6*d^2*e^2*f - 25648*b^2*c^5*d*e^3*f - 81696*b^3*c^4*d*e^3*g + 223680*b^2*c^5*d^2*e^2*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((13952*b^2*c^6*e^4*f + 70784*b^3*c^5*e^4*g + 50112*c^8*d^2*e^2*f - 513344*c^8*d^3*e*g - 52864*b*c^7*d*e^3*f + 795072*b*c^7*d^2*e^2*g - 410752*b^2*c^6*d*e^3*g)/(10395*e^2*(b*e - 2*c*d)^6) - (d*((64*c^6*(218*b^2*e^2*g + 783*c^2*d^2*g + 23*b*c*e^2*f - 43*c^2*d*e*f - 826*b*c*d*e*g))/(10395*(b*e - 2*c*d)^6) - (d*((64*c^7*e*(23*b*e*g - 43*c*d*g + c*e*f))/(10395*(b*e - 2*c*d)^6) - (64*c^8*d*e*g)/(10395*(b*e - 2*c*d)^6)))/e))/e))/e - (64*c^4*(b*e - c*d)*(910*b^3*e^3*g - 7280*c^3*d^3*g + 196*b^2*c*e^3*f + 741*c^3*d^2*e*f - 762*b*c^2*d*e^2*f + 10920*b*c^2*d^2*e*g - 5460*b^2*c*d*e^2*g))/(10395*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((d*((4*c^3*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (12*c^2*e*(7*b^2*e^2*g + 17*c^2*d^2*g + 3*b*c*e^2*f - 5*c^2*d*e*f - 22*b*c*d*e*g))/(11*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e + (84*b^2*c^2*e^4*f + 204*c^4*d^2*e^2*f + 76*b^3*c*e^4*g - 340*c^4*d^3*e*g - 264*b*c^3*d*e^3*f + 612*b*c^3*d^2*e^2*g - 372*b^2*c^2*d*e^3*g)/(11*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(6*b^3*e^3*g - 48*c^3*d^3*g + 13*b^2*c*e^3*f + 37*c^3*d^2*e*f - 44*b*c^2*d*e^2*f + 72*b*c^2*d^2*e*g - 36*b^2*c*d*e^2*g))/(11*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((132*b^2*c^4*e^3*f - 608*c^6*d^3*g + 126*b^3*c^3*e^3*g + 288*c^6*d^2*e*f - 384*b*c^5*d*e^2*f + 1056*b*c^5*d^2*e*g - 624*b^2*c^4*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(9*b*e*g - 12*c*d*g + 2*c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(11*b^2*e^2*g + 24*c^2*d^2*g + 6*b*c*e^2*f - 8*c^2*d*e*f - 32*b*c*d*e*g))/(231*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (50*b^3*c^3*e^3*f + 38*b^4*c^2*e^3*g - 304*b*c^5*d^3*g + 144*b*c^5*d^2*e*f - 168*b^2*c^4*d*e^2*f + 456*b^2*c^4*d^2*e*g - 228*b^3*c^3*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((420*b^2*c^4*e^3*f - 3200*c^6*d^3*g + 576*b^3*c^3*e^3*g + 1152*c^6*d^2*e*f - 1392*b*c^5*d*e^2*f + 5376*b*c^5*d^2*e*g - 3036*b^2*c^4*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(35*b^2*e^2*g + 96*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 116*b*c*d*e*g))/(231*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (176*b^3*c^3*e^3*f + 200*b^4*c^2*e^3*g - 1600*b*c^5*d^3*g + 576*b*c^5*d^2*e*f - 636*b^2*c^4*d*e^2*f + 2400*b^2*c^4*d^2*e*g - 1200*b^3*c^3*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((336*b^2*c^5*e^3*f - 2016*c^7*d^3*g + 384*b^3*c^4*e^3*g + 800*c^7*d^2*e*f - 1024*b*c^6*d*e^2*f + 3424*b*c^6*d^2*e*g - 1968*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(5*b*e*g - 7*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(21*b^2*e^2*g + 50*c^2*d^2*g + 10*b*c*e^2*f - 14*c^2*d*e*f - 64*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (132*b^3*c^4*e^3*f + 126*b^4*c^3*e^3*g - 1008*b*c^6*d^3*g + 400*b*c^6*d^2*e*f - 456*b^2*c^5*d*e^2*f + 1512*b^2*c^5*d^2*e*g - 756*b^3*c^4*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((840*b^2*c^5*e^3*f - 7616*c^7*d^3*g + 1308*b^3*c^4*e^3*g + 2368*c^7*d^2*e*f - 2816*b*c^6*d*e^2*f + 12608*b*c^6*d^2*e*g - 7008*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(105*b^2*e^2*g + 296*c^2*d^2*g + 34*b*c*e^2*f - 56*c^2*d*e*f - 352*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (356*b^3*c^4*e^3*f + 476*b^4*c^3*e^3*g - 3808*b*c^6*d^3*g + 1184*b*c^6*d^2*e*f - 1296*b^2*c^5*d*e^2*f + 5712*b^2*c^5*d^2*e*g - 2856*b^3*c^4*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((984*b^2*c^5*e^3*f - 9216*c^7*d^3*g + 1572*b^3*c^4*e^3*g + 2816*c^7*d^2*e*f - 3328*b*c^6*d*e^2*f + 15232*b*c^6*d^2*e*g - 8448*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(123*b^2*e^2*g + 352*c^2*d^2*g + 38*b*c*e^2*f - 64*c^2*d*e*f - 416*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (420*b^3*c^4*e^3*f + 576*b^4*c^3*e^3*g - 4608*b*c^6*d^3*g + 1408*b*c^6*d^2*e*f - 1536*b^2*c^5*d*e^2*f + 6912*b^2*c^5*d^2*e*g - 3456*b^3*c^4*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((1128*b^2*c^5*e^3*f - 10816*c^7*d^3*g + 1836*b^3*c^4*e^3*g + 3264*c^7*d^2*e*f - 3840*b*c^6*d*e^2*f + 17856*b*c^6*d^2*e*g - 9888*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(47*b^2*e^2*g + 136*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 160*b*c*d*e*g))/(1155*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (484*b^3*c^4*e^3*f + 676*b^4*c^3*e^3*g - 5408*b*c^6*d^3*g + 1632*b*c^6*d^2*e*f - 1776*b^2*c^5*d*e^2*f + 8112*b^2*c^5*d^2*e*g - 4056*b^3*c^4*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*f*(b*e - c*d)^3)/(11*b*e^2 - 22*c*d*e) - (d*((2*(b*e - c*d)^2*(b*e*g - c*d*g + 3*c*e*f))/(11*b*e^2 - 22*c*d*e) + (d*((d*((2*c^2*e^2*(3*b*e*g - 3*c*d*g + c*e*f))/(11*b*e^2 - 22*c*d*e) - (2*c^3*d*e^2*g)/(11*b*e^2 - 22*c*d*e)))/e - (6*c*e*(b*e - c*d)*(b*e*g - c*d*g + c*e*f))/(11*b*e^2 - 22*c*d*e)))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 + (((d*((d*((d*((16*c^5*e^2*(18*b*e*g - 33*c*d*g + c*e*f))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^4*e*(122*b^2*e^2*g + 419*c^2*d^2*g + 18*b*c*e^2*f - 33*c^2*d*e*f - 452*b*c*d*e*g))/(693*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e + (1952*b^2*c^4*e^4*f + 6208*b^3*c^3*e^4*g + 6704*c^6*d^2*e^2*f - 42416*c^6*d^3*e*g - 7232*b*c^5*d*e^3*f + 66976*b*c^5*d^2*e^2*g - 35296*b^2*c^4*d*e^3*g)/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(283*b^3*e^3*g - 2264*c^3*d^3*g + 105*b^2*c*e^3*f + 387*c^3*d^2*e*f - 403*b*c^2*d*e^2*f + 3396*b*c^2*d^2*e*g - 1698*b^2*c*d*e^2*g))/(693*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((32*c^6*e^2*(21*b*e*g - 39*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^5*e*(176*b^2*e^2*g + 623*c^2*d^2*g + 21*b*c*e^2*f - 39*c^2*d*e*f - 662*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e + (5632*b^2*c^5*e^4*f + 24128*b^3*c^4*e^4*g + 19936*c^7*d^2*e^2*f - 171808*c^7*d^3*e*g - 21184*b*c^6*d*e^3*f + 267680*b*c^6*d^2*e^2*g - 139136*b^2*c^5*d*e^3*g)/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^3*(b*e - c*d)*(598*b^3*e^3*g - 4784*c^3*d^3*g + 156*b^2*c*e^3*f + 585*c^3*d^2*e*f - 604*b*c^2*d*e^2*f + 7176*b*c^2*d^2*e*g - 3588*b^2*c*d*e^2*g))/(3465*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((50*b^2*c^3*e^3*f - 160*c^5*d^3*g + 38*b^3*c^2*e^3*g + 96*c^5*d^2*e*f - 136*b*c^4*d*e^2*f + 288*b*c^4*d^2*e*g - 178*b^2*c^3*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((8*c^4*e^2*(4*b*e*g - 5*c*d*g + c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (50*b^2*c^3*e^3*g + 32*b*c^4*e^3*f - 40*c^5*d*e^2*f + 96*c^5*d^2*e*g - 136*b*c^4*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (18*b^3*c^2*e^3*f - 80*b*c^4*d^3*g + 10*b^4*c*e^3*g + 48*b*c^4*d^2*e*f - 58*b^2*c^3*d*e^2*f + 120*b^2*c^3*d^2*e*g - 60*b^3*c^2*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((204*b^2*c^3*e^3*f - 1216*c^5*d^3*g + 236*b^3*c^2*e^3*g + 536*c^5*d^2*e*f - 664*b*c^4*d*e^2*f + 2092*b*c^4*d^2*e*g - 1212*b^2*c^3*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((4*c^4*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e - (204*b^2*c^3*e^3*g + 76*b*c^4*e^3*f - 128*c^5*d*e^2*f + 536*c^5*d^2*e*g - 664*b*c^4*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (84*b^3*c^2*e^3*f - 608*b*c^4*d^3*g + 76*b^4*c*e^3*g + 268*b*c^4*d^2*e*f - 300*b^2*c^3*d*e^2*f + 912*b^2*c^3*d^2*e*g - 456*b^3*c^2*d*e^2*g)/(99*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((2568*b^2*c^5*e^3*f - 40192*c^7*d^3*g + 6192*b^3*c^4*e^3*g + 8448*c^7*d^2*e*f - 9312*b*c^6*d*e^2*f + 64512*b*c^6*d^2*e*g - 34584*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(107*b^2*e^2*g + 352*c^2*d^2*g + 20*b*c*e^2*f - 36*c^2*d*e*f - 388*b*c*d*e*g))/(1155*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(314*b^3*e^3*g - 2512*c^3*d^3*g + 146*b^2*c*e^3*f + 528*c^3*d^2*e*f - 555*b*c^2*d*e^2*f + 3768*b*c^2*d^2*e*g - 1884*b^2*c*d*e^2*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((4192*b^2*c^5*e^3*f - 99328*c^7*d^3*g + 14368*b^3*c^4*e^3*g + 14496*c^7*d^2*e*f - 15584*b*c^6*d*e^2*f + 156240*b*c^6*d^2*e*g - 82016*b^2*c^5*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(262*b^2*e^2*g + 906*c^2*d^2*g + 37*b*c*e^2*f - 68*c^2*d*e*f - 974*b*c*d*e*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (16*b*c^3*(388*b^3*e^3*g - 3104*c^3*d^3*g + 122*b^2*c*e^3*f + 453*c^3*d^2*e*f - 470*b*c^2*d*e^2*f + 4656*b*c^2*d^2*e*g - 2328*b^2*c*d*e^2*g))/(3465*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2207,1,51074,285,105.182975,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + 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0352\,f\,c^8\,d^2\,e}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}+\frac{d\,\left(\frac{d\,\left(\frac{32\,c^7\,e^2\,\left(51\,b\,e\,g-96\,c\,d\,g+2\,c\,e\,f\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{64\,c^8\,d\,e^2\,g}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}-\frac{32\,c^6\,e\,\left(521\,g\,b^2\,e^2-1982\,g\,b\,c\,d\,e+51\,f\,b\,c\,e^2+1886\,g\,c^2\,d^2-96\,f\,c^2\,d\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}\right)}{e}-\frac{32\,b\,c^4\,\left(1242\,g\,b^3\,e^3-7452\,g\,b^2\,c\,d\,e^2+248\,f\,b^2\,c\,e^3+14904\,g\,b\,c^2\,d^2\,e-967\,f\,b\,c^2\,d\,e^2-9936\,g\,c^3\,d^3+943\,f\,c^3\,d^2\,e\right)}{45045\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}","Not used",1,"(((d*((2016*b^2*c^7*e^3*f - 17664*c^9*d^3*g + 3040*b^3*c^6*e^3*g + 5376*c^9*d^2*e*f - 6528*b*c^8*d*e^2*f + 29184*b*c^8*d^2*e*g - 16224*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(21*b^2*e^2*g + 56*c^2*d^2*g + 8*b*c*e^2*f - 12*c^2*d*e*f - 68*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(6*b*e*g - 9*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(69*b^3*e^3*g - 552*c^3*d^3*g + 52*b^2*c*e^3*f + 168*c^3*d^2*e*f - 186*b*c^2*d*e^2*f + 828*b*c^2*d^2*e*g - 414*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((d*((4*c^4*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (4*c^3*e*(51*b^2*e^2*g + 134*c^2*d^2*g + 19*b*c*e^2*f - 32*c^2*d*e*f - 166*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (204*b^2*c^3*e^4*f + 236*b^3*c^2*e^4*g + 536*c^5*d^2*e^2*f - 1216*c^5*d^3*e*g - 664*b*c^4*d*e^3*f + 2092*b*c^4*d^2*e^2*g - 1212*b^2*c^3*d*e^3*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (960*c^5*d^4*g + 156*b^3*c^2*e^4*f + 100*b^4*c*e^4*g - 576*c^5*d^3*e*f - 2240*b*c^4*d^3*e*g + 1132*b*c^4*d^2*e^2*f - 732*b^2*c^3*d*e^3*f - 720*b^3*c^2*d*e^3*g + 1920*b^2*c^3*d^2*e^2*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((3776*b^2*c^7*e^3*f - 44544*c^9*d^3*g + 7200*b^3*c^6*e^3*g + 11136*c^9*d^2*e*f - 12928*b*c^8*d*e^2*f + 72384*b*c^8*d^2*e*g - 39424*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(59*b^2*e^2*g + 174*c^2*d^2*g + 17*b*c*e^2*f - 28*c^2*d*e*f - 202*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(87*b^3*e^3*g - 696*c^3*d^3*g + 51*b^2*c*e^3*f + 174*c^3*d^2*e*f - 188*b*c^2*d*e^2*f + 1044*b*c^2*d^2*e*g - 522*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((5184*b^2*c^7*e^3*f - 66048*c^9*d^3*g + 10528*b^3*c^6*e^3*g + 15744*c^9*d^2*e*f - 18048*b*c^8*d*e^2*f + 106944*b*c^8*d^2*e*g - 57984*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(27*b^2*e^2*g + 82*c^2*d^2*g + 7*b*c*e^2*f - 12*c^2*d*e*f - 94*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(129*b^3*e^3*g - 1032*c^3*d^3*g + 71*b^2*c*e^3*f + 246*c^3*d^2*e*f - 264*b*c^2*d*e^2*f + 1548*b*c^2*d^2*e*g - 774*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((4480*b^2*c^7*e^3*f - 55296*c^9*d^3*g + 8864*b^3*c^6*e^3*g + 13440*c^9*d^2*e*f - 15488*b*c^8*d*e^2*f + 89664*b*c^8*d^2*e*g - 48704*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(70*b^2*e^2*g + 210*c^2*d^2*g + 19*b*c*e^2*f - 32*c^2*d*e*f - 242*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(108*b^3*e^3*g - 864*c^3*d^3*g + 61*b^2*c*e^3*f + 210*c^3*d^2*e*f - 226*b*c^2*d*e^2*f + 1296*b*c^2*d^2*e*g - 648*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((5888*b^2*c^7*e^3*f - 76800*c^9*d^3*g + 12192*b^3*c^6*e^3*g + 18048*c^9*d^2*e*f - 20608*b*c^8*d*e^2*f + 124224*b*c^8*d^2*e*g - 67264*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(92*b^2*e^2*g + 282*c^2*d^2*g + 23*b*c*e^2*f - 40*c^2*d*e*f - 322*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(150*b^3*e^3*g - 1200*c^3*d^3*g + 81*b^2*c*e^3*f + 282*c^3*d^2*e*f - 302*b*c^2*d*e^2*f + 1800*b*c^2*d^2*e*g - 900*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((6592*b^2*c^7*e^3*f - 87552*c^9*d^3*g + 13856*b^3*c^6*e^3*g + 20352*c^9*d^2*e*f - 23168*b*c^8*d*e^2*f + 141504*b*c^8*d^2*e*g - 76544*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(103*b^2*e^2*g + 318*c^2*d^2*g + 25*b*c*e^2*f - 44*c^2*d*e*f - 362*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(171*b^3*e^3*g - 1368*c^3*d^3*g + 91*b^2*c*e^3*f + 318*c^3*d^2*e*f - 340*b*c^2*d*e^2*f + 2052*b*c^2*d^2*e*g - 1026*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7360*b^2*c^7*e^3*f - 122496*c^9*d^3*g + 18624*b^3*c^6*e^3*g + 23680*c^9*d^2*e*f - 26368*b*c^8*d*e^2*f + 195584*b*c^8*d^2*e*g - 104384*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(115*b^2*e^2*g + 370*c^2*d^2*g + 24*b*c*e^2*f - 42*c^2*d*e*f - 412*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(12*b*e*g - 21*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(957*b^3*e^3*g - 7656*c^3*d^3*g + 414*b^2*c*e^3*f + 1480*c^3*d^2*e*f - 1564*b*c^2*d*e^2*f + 11484*b*c^2*d^2*e*g - 5742*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8384*b^2*c^7*e^3*f - 144768*c^9*d^3*g + 21888*b^3*c^6*e^3*g + 27264*c^9*d^2*e*f - 30208*b*c^8*d*e^2*f + 230784*b*c^8*d^2*e*g - 122944*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(131*b^2*e^2*g + 426*c^2*d^2*g + 26*b*c*e^2*f - 46*c^2*d*e*f - 472*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(13*b*e*g - 23*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1131*b^3*e^3*g - 9048*c^3*d^3*g + 474*b^2*c*e^3*f + 1704*c^3*d^2*e*f - 1796*b*c^2*d*e^2*f + 13572*b*c^2*d^2*e*g - 6786*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((9408*b^2*c^7*e^3*f - 167040*c^9*d^3*g + 25152*b^3*c^6*e^3*g + 30848*c^9*d^2*e*f - 34048*b*c^8*d*e^2*f + 265984*b*c^8*d^2*e*g - 141504*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(147*b^2*e^2*g + 482*c^2*d^2*g + 28*b*c*e^2*f - 50*c^2*d*e*f - 532*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1305*b^3*e^3*g - 10440*c^3*d^3*g + 534*b^2*c*e^3*f + 1928*c^3*d^2*e*f - 2028*b*c^2*d*e^2*f + 15660*b*c^2*d^2*e*g - 7830*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((9664*b^2*c^7*e^3*f - 176256*c^9*d^3*g + 26432*b^3*c^6*e^3*g + 31872*c^9*d^2*e*f - 35072*b*c^8*d*e^2*f + 280320*b*c^8*d^2*e*g - 148928*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(151*b^2*e^2*g + 498*c^2*d^2*g + 28*b*c*e^2*f - 50*c^2*d*e*f - 548*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1377*b^3*e^3*g - 11016*c^3*d^3*g + 550*b^2*c*e^3*f + 1992*c^3*d^2*e*f - 2092*b*c^2*d*e^2*f + 16524*b*c^2*d^2*e*g - 8262*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((10432*b^2*c^7*e^3*f - 189312*c^9*d^3*g + 28416*b^3*c^6*e^3*g + 34432*c^9*d^2*e*f - 37888*b*c^8*d*e^2*f + 301184*b*c^8*d^2*e*g - 160064*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(163*b^2*e^2*g + 538*c^2*d^2*g + 30*b*c*e^2*f - 54*c^2*d*e*f - 592*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(15*b*e*g - 27*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1479*b^3*e^3*g - 11832*c^3*d^3*g + 594*b^2*c*e^3*f + 2152*c^3*d^2*e*f - 2260*b*c^2*d*e^2*f + 17748*b*c^2*d^2*e*g - 8874*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((10816*b^2*c^7*e^3*f - 203136*c^9*d^3*g + 30336*b^3*c^6*e^3*g + 35968*c^9*d^2*e*f - 39424*b*c^8*d*e^2*f + 322688*b*c^8*d^2*e*g - 171200*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(169*b^2*e^2*g + 562*c^2*d^2*g + 30*b*c*e^2*f - 54*c^2*d*e*f - 616*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(15*b*e*g - 27*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1587*b^3*e^3*g - 12696*c^3*d^3*g + 618*b^2*c*e^3*f + 2248*c^3*d^2*e*f - 2356*b*c^2*d*e^2*f + 19044*b*c^2*d^2*e*g - 9522*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((11968*b^2*c^7*e^3*f - 230016*c^9*d^3*g + 34240*b^3*c^6*e^3*g + 40064*c^9*d^2*e*f - 43776*b*c^8*d*e^2*f + 365056*b*c^8*d^2*e*g - 193472*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(187*b^2*e^2*g + 626*c^2*d^2*g + 32*b*c*e^2*f - 58*c^2*d*e*f - 684*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(16*b*e*g - 29*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1797*b^3*e^3*g - 14376*c^3*d^3*g + 686*b^2*c*e^3*f + 2504*c^3*d^2*e*f - 2620*b*c^2*d*e^2*f + 21564*b*c^2*d^2*e*g - 10782*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((12224*b^2*c^7*e^3*f - 239232*c^9*d^3*g + 35520*b^3*c^6*e^3*g + 41088*c^9*d^2*e*f - 44800*b*c^8*d*e^2*f + 379392*b*c^8*d^2*e*g - 200896*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(191*b^2*e^2*g + 642*c^2*d^2*g + 32*b*c*e^2*f - 58*c^2*d*e*f - 700*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(16*b*e*g - 29*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(1869*b^3*e^3*g - 14952*c^3*d^3*g + 702*b^2*c*e^3*f + 2568*c^3*d^2*e*f - 2684*b*c^2*d*e^2*f + 22428*b*c^2*d^2*e*g - 11214*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((13504*b^2*c^7*e^3*f - 270720*c^9*d^3*g + 40064*b^3*c^6*e^3*g + 45696*c^9*d^2*e*f - 49664*b*c^8*d*e^2*f + 428928*b*c^8*d^2*e*g - 226880*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(211*b^2*e^2*g + 714*c^2*d^2*g + 34*b*c*e^2*f - 62*c^2*d*e*f - 776*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(17*b*e*g - 31*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(2115*b^3*e^3*g - 16920*c^3*d^3*g + 778*b^2*c*e^3*f + 2856*c^3*d^2*e*f - 2980*b*c^2*d*e^2*f + 25380*b*c^2*d^2*e*g - 12690*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((15040*b^2*c^7*e^3*f - 311424*c^9*d^3*g + 45888*b^3*c^6*e^3*g + 51328*c^9*d^2*e*f - 55552*b*c^8*d*e^2*f + 492800*b*c^8*d^2*e*g - 260288*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(235*b^2*e^2*g + 802*c^2*d^2*g + 36*b*c*e^2*f - 66*c^2*d*e*f - 868*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(18*b*e*g - 33*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (8*b*c^5*(2433*b^3*e^3*g - 19464*c^3*d^3*g + 870*b^2*c*e^3*f + 3208*c^3*d^2*e*f - 3340*b*c^2*d*e^2*f + 29196*b*c^2*d^2*e*g - 14598*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((13984*b^2*c^7*e^3*f - 335616*c^9*d^3*g + 48432*b^3*c^6*e^3*g + 47872*c^9*d^2*e*f - 51712*b*c^8*d*e^2*f + 527360*b*c^8*d^2*e*g - 276608*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(437*b^2*e^2*g + 1496*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1616*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1311*b^3*e^3*g - 10488*c^3*d^3*g + 405*b^2*c*e^3*f + 1496*c^3*d^2*e*f - 1556*b*c^2*d*e^2*f + 15732*b*c^2*d^2*e*g - 7866*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((15456*b^2*c^7*e^3*f - 382976*c^9*d^3*g + 55056*b^3*c^6*e^3*g + 53248*c^9*d^2*e*f - 57344*b*c^8*d*e^2*f + 601088*b*c^8*d^2*e*g - 314880*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(483*b^2*e^2*g + 1664*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1792*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1496*b^3*e^3*g - 11968*c^3*d^3*g + 449*b^2*c*e^3*f + 1664*c^3*d^2*e*f - 1728*b*c^2*d*e^2*f + 17952*b*c^2*d^2*e*g - 8976*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16928*b^2*c^7*e^3*f - 430336*c^9*d^3*g + 61680*b^3*c^6*e^3*g + 58624*c^9*d^2*e*f - 62976*b*c^8*d*e^2*f + 674816*b*c^8*d^2*e*g - 353152*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(529*b^2*e^2*g + 1832*c^2*d^2*g + 74*b*c*e^2*f - 136*c^2*d*e*f - 1968*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1681*b^3*e^3*g - 13448*c^3*d^3*g + 493*b^2*c*e^3*f + 1832*c^3*d^2*e*f - 1900*b*c^2*d*e^2*f + 20172*b*c^2*d^2*e*g - 10086*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((17184*b^2*c^7*e^3*f - 444672*c^9*d^3*g + 63600*b^3*c^6*e^3*g + 59648*c^9*d^2*e*f - 64000*b*c^8*d*e^2*f + 696832*b*c^8*d^2*e*g - 364416*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(537*b^2*e^2*g + 1864*c^2*d^2*g + 74*b*c*e^2*f - 136*c^2*d*e*f - 2000*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1737*b^3*e^3*g - 13896*c^3*d^3*g + 501*b^2*c*e^3*f + 1864*c^3*d^2*e*f - 1932*b*c^2*d*e^2*f + 20844*b*c^2*d^2*e*g - 10422*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((18784*b^2*c^7*e^3*f - 499200*c^9*d^3*g + 71184*b^3*c^6*e^3*g + 65536*c^9*d^2*e*f - 70144*b*c^8*d*e^2*f + 781568*b*c^8*d^2*e*g - 408320*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(587*b^2*e^2*g + 2048*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*d*e*f - 2192*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(1950*b^3*e^3*g - 15600*c^3*d^3*g + 549*b^2*c*e^3*f + 2048*c^3*d^2*e*f - 2120*b*c^2*d*e^2*f + 23400*b*c^2*d^2*e*g - 11700*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((19168*b^2*c^7*e^3*f - 526848*c^9*d^3*g + 74832*b^3*c^6*e^3*g + 67072*c^9*d^2*e*f - 71680*b*c^8*d*e^2*f + 823808*b*c^8*d^2*e*g - 429824*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(599*b^2*e^2*g + 2096*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*d*e*f - 2240*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2058*b^3*e^3*g - 16464*c^3*d^3*g + 561*b^2*c*e^3*f + 2096*c^3*d^2*e*f - 2168*b*c^2*d*e^2*f + 24696*b*c^2*d^2*e*g - 12348*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((20640*b^2*c^7*e^3*f - 568064*c^9*d^3*g + 80688*b^3*c^6*e^3*g + 72448*c^9*d^2*e*f - 77312*b*c^8*d*e^2*f + 888320*b*c^8*d^2*e*g - 463488*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(645*b^2*e^2*g + 2264*c^2*d^2*g + 82*b*c*e^2*f - 152*c^2*d*e*f - 2416*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(41*b*e*g - 76*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2219*b^3*e^3*g - 17752*c^3*d^3*g + 605*b^2*c*e^3*f + 2264*c^3*d^2*e*f - 2340*b*c^2*d*e^2*f + 26628*b*c^2*d^2*e*g - 13314*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((20896*b^2*c^7*e^3*f - 590592*c^9*d^3*g + 83632*b^3*c^6*e^3*g + 73472*c^9*d^2*e*f - 78336*b*c^8*d*e^2*f + 922624*b*c^8*d^2*e*g - 480896*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(653*b^2*e^2*g + 2296*c^2*d^2*g + 82*b*c*e^2*f - 152*c^2*d*e*f - 2448*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(41*b*e*g - 76*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2307*b^3*e^3*g - 18456*c^3*d^3*g + 613*b^2*c*e^3*f + 2296*c^3*d^2*e*f - 2372*b*c^2*d*e^2*f + 27684*b*c^2*d^2*e*g - 13842*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((22880*b^2*c^7*e^3*f - 670720*c^9*d^3*g + 94608*b^3*c^6*e^3*g + 80896*c^9*d^2*e*f - 86016*b*c^8*d*e^2*f + 1046528*b*c^8*d^2*e*g - 544768*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(715*b^2*e^2*g + 2528*c^2*d^2*g + 86*b*c*e^2*f - 160*c^2*d*e*f - 2688*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(43*b*e*g - 80*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(2620*b^3*e^3*g - 20960*c^3*d^3*g + 673*b^2*c*e^3*f + 2528*c^3*d^2*e*f - 2608*b*c^2*d*e^2*f + 31440*b*c^2*d^2*e*g - 15720*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((25120*b^2*c^7*e^3*f - 773376*c^9*d^3*g + 108528*b^3*c^6*e^3*g + 89344*c^9*d^2*e*f - 94720*b*c^8*d*e^2*f + 1204736*b*c^8*d^2*e*g - 626048*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(785*b^2*e^2*g + 2792*c^2*d^2*g + 90*b*c*e^2*f - 168*c^2*d*e*f - 2960*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(45*b*e*g - 84*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (16*b*c^5*(3021*b^3*e^3*g - 24168*c^3*d^3*g + 741*b^2*c*e^3*f + 2792*c^3*d^2*e*f - 2876*b*c^2*d*e^2*f + 36252*b*c^2*d^2*e*g - 18126*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((25248*b^2*c^7*e^3*f - 862208*c^9*d^3*g + 119712*b^3*c^6*e^3*g + 90112*c^9*d^2*e*f - 95360*b*c^8*d*e^2*f + 1338368*b*c^8*d^2*e*g - 693024*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(789*b^2*e^2*g + 2816*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2980*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(22*b*e*g - 41*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(1684*b^3*e^3*g - 13472*c^3*d^3*g + 373*b^2*c*e^3*f + 1408*c^3*d^2*e*f - 1449*b*c^2*d*e^2*f + 20208*b*c^2*d^2*e*g - 10104*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((27296*b^2*c^7*e^3*f - 957952*c^9*d^3*g + 132672*b^3*c^6*e^3*g + 97792*c^9*d^2*e*f - 103296*b*c^8*d*e^2*f + 1485824*b*c^8*d^2*e*g - 768736*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(853*b^2*e^2*g + 3056*c^2*d^2*g + 92*b*c*e^2*f - 172*c^2*d*e*f - 3228*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(23*b*e*g - 43*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(1871*b^3*e^3*g - 14968*c^3*d^3*g + 404*b^2*c*e^3*f + 1528*c^3*d^2*e*f - 1571*b*c^2*d*e^2*f + 22452*b*c^2*d^2*e*g - 11226*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((29600*b^2*c^7*e^3*f - 1075200*c^9*d^3*g + 148448*b^3*c^6*e^3*g + 106496*c^9*d^2*e*f - 112256*b*c^8*d*e^2*f + 1666048*b*c^8*d^2*e*g - 861088*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(925*b^2*e^2*g + 3328*c^2*d^2*g + 96*b*c*e^2*f - 180*c^2*d*e*f - 3508*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(24*b*e*g - 45*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2100*b^3*e^3*g - 16800*c^3*d^3*g + 439*b^2*c*e^3*f + 1664*c^3*d^2*e*f - 1709*b*c^2*d*e^2*f + 25200*b*c^2*d^2*e*g - 12600*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((32160*b^2*c^7*e^3*f - 1220096*c^9*d^3*g + 167808*b^3*c^6*e^3*g + 116224*c^9*d^2*e*f - 122240*b*c^8*d*e^2*f + 1888256*b*c^8*d^2*e*g - 974688*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(1005*b^2*e^2*g + 3632*c^2*d^2*g + 100*b*c*e^2*f - 188*c^2*d*e*f - 3820*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(25*b*e*g - 47*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2383*b^3*e^3*g - 19064*c^3*d^3*g + 478*b^2*c*e^3*f + 1816*c^3*d^2*e*f - 1863*b*c^2*d*e^2*f + 28596*b*c^2*d^2*e*g - 14298*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((34976*b^2*c^7*e^3*f - 1398784*c^9*d^3*g + 191520*b^3*c^6*e^3*g + 126976*c^9*d^2*e*f - 133248*b*c^8*d*e^2*f + 2161664*b*c^8*d^2*e*g - 1114144*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((32*c^7*(1093*b^2*e^2*g + 3968*c^2*d^2*g + 104*b*c*e^2*f - 196*c^2*d*e*f - 4164*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(26*b*e*g - 49*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (32*b*c^5*(2732*b^3*e^3*g - 21856*c^3*d^3*g + 521*b^2*c*e^3*f + 1984*c^3*d^2*e*f - 2033*b*c^2*d*e^2*f + 32784*b*c^2*d^2*e*g - 16392*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((43136*b^2*c^7*e^3*f - 2033664*c^9*d^3*g + 274880*b^3*c^6*e^3*g + 158336*c^9*d^2*e*f - 165248*b*c^8*d*e^2*f + 3129664*b*c^8*d^2*e*g - 1606144*b^2*c^7*d*e^2*g)/(135135*e*(b*e - 2*c*d)^7) - (d*((64*c^7*(674*b^2*e^2*g + 2474*c^2*d^2*g + 57*b*c*e^2*f - 108*c^2*d*e*f - 2582*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(57*b*e*g - 108*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (64*b*c^5*(1986*b^3*e^3*g - 15888*c^3*d^3*g + 323*b^2*c*e^3*f + 1237*c^3*d^2*e*f - 1264*b*c^2*d*e^2*f + 23832*b*c^2*d^2*e*g - 11916*b^2*c*d*e^2*g))/(135135*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((484*b^2*c^4*e^3*f - 3776*c^6*d^3*g + 676*b^3*c^3*e^3*g + 1344*c^6*d^2*e*f - 1616*b*c^5*d*e^2*f + 6336*b*c^5*d^2*e*g - 3572*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(10*b*e*g - 17*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (484*b^2*c^4*e^3*g + 160*b*c^5*e^3*f - 272*c^6*d*e^2*f + 1344*c^6*d^2*e*g - 1616*b*c^5*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (204*b^3*c^3*e^3*f + 236*b^4*c^2*e^3*g - 1888*b*c^5*d^3*g + 672*b*c^5*d^2*e*f - 740*b^2*c^4*d*e^2*f + 2832*b^2*c^4*d^2*e*g - 1416*b^3*c^3*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((548*b^2*c^4*e^3*f - 4352*c^6*d^3*g + 776*b^3*c^3*e^3*g + 1536*c^6*d^2*e*f - 1840*b*c^5*d*e^2*f + 7296*b*c^5*d^2*e*g - 4108*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((16*c^5*e^2*(11*b*e*g - 19*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (548*b^2*c^4*e^3*g + 176*b*c^5*e^3*f - 304*c^6*d*e^2*f + 1536*c^6*d^2*e*g - 1840*b*c^5*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (232*b^3*c^3*e^3*f + 272*b^4*c^2*e^3*g - 2176*b*c^5*d^3*g + 768*b*c^5*d^2*e*f - 844*b^2*c^4*d*e^2*f + 3264*b^2*c^4*d^2*e*g - 1632*b^3*c^3*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((3072*b^2*c^7*e^4*f + 5536*b^3*c^6*e^4*g + 8832*c^9*d^2*e^2*f - 33792*c^9*d^3*e*g - 10368*b*c^8*d*e^3*f + 55104*b*c^8*d^2*e^2*g - 30144*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(16*b^2*e^2*g + 46*c^2*d^2*g + 5*b*c*e^2*f - 8*c^2*d*e*f - 54*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(15*b*e*g - 24*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (35328*c^9*d^4*g + 2656*b^3*c^6*e^4*f + 3648*b^4*c^5*e^4*g - 10752*c^9*d^3*e*f - 82176*b*c^8*d^3*e*g + 20544*b*c^8*d^2*e^2*f - 12864*b^2*c^7*d*e^3*f - 26304*b^3*c^6*d*e^3*g + 70272*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((5312*b^2*c^7*e^4*f + 12096*b^3*c^6*e^4*g + 16512*c^9*d^2*e^2*f - 77952*c^9*d^3*e*g - 18688*b*c^8*d*e^3*f + 125184*b*c^8*d^2*e^2*g - 67264*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(83*b^2*e^2*g + 258*c^2*d^2*g + 20*b*c*e^2*f - 34*c^2*d*e*f - 292*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(10*b*e*g - 17*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (52224*c^9*d^4*g + 3552*b^3*c^6*e^4*f + 7536*b^4*c^5*e^4*g - 9600*c^9*d^3*e*f - 138624*b*c^8*d^3*e*g + 22656*b*c^8*d^2*e^2*f - 16000*b^2*c^7*d*e^3*f - 51744*b^3*c^6*d*e^3*g + 129600*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((6208*b^2*c^7*e^4*f + 14720*b^3*c^6*e^4*g + 19584*c^9*d^2*e^2*f - 95616*c^9*d^3*e*g - 22016*b*c^8*d*e^3*f + 153216*b*c^8*d^2*e^2*g - 82112*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(97*b^2*e^2*g + 306*c^2*d^2*g + 22*b*c*e^2*f - 38*c^2*d*e*f - 344*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(11*b*e*g - 19*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (110592*c^9*d^4*g + 6128*b^3*c^6*e^4*f + 11208*b^4*c^5*e^4*g - 26880*c^9*d^3*e*f - 255552*b*c^8*d^3*e*g + 50112*b*c^8*d^2*e^2*f - 30560*b^2*c^7*d*e^3*f - 81072*b^3*c^6*d*e^3*g + 217440*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((7104*b^2*c^7*e^4*f + 17344*b^3*c^6*e^4*g + 22656*c^9*d^2*e^2*f - 113280*c^9*d^3*e*g - 25344*b*c^8*d*e^3*f + 181248*b*c^8*d^2*e^2*g - 96960*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(37*b^2*e^2*g + 118*c^2*d^2*g + 8*b*c*e^2*f - 14*c^2*d*e*f - 132*b*c*d*e*g))/(45045*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(12*b*e*g - 21*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (132096*c^9*d^4*g + 7120*b^3*c^6*e^4*f + 13368*b^4*c^5*e^4*g - 31488*c^9*d^3*e*f - 305088*b*c^8*d^3*e*g + 58560*b*c^8*d^2*e^2*f - 35616*b^2*c^7*d*e^3*f - 96720*b^3*c^6*d*e^3*g + 259488*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8000*b^2*c^7*e^4*f + 19968*b^3*c^6*e^4*g + 25728*c^9*d^2*e^2*f - 130944*c^9*d^3*e*g - 28672*b*c^8*d*e^3*f + 209280*b*c^8*d^2*e^2*g - 111808*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(125*b^2*e^2*g + 402*c^2*d^2*g + 26*b*c*e^2*f - 46*c^2*d*e*f - 448*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(13*b*e*g - 23*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (153600*c^9*d^4*g + 8112*b^3*c^6*e^4*f + 15528*b^4*c^5*e^4*g - 36096*c^9*d^3*e*f - 354624*b*c^8*d^3*e*g + 67008*b*c^8*d^2*e^2*f - 40672*b^2*c^7*d*e^3*f - 112368*b^3*c^6*d*e^3*g + 301536*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((8896*b^2*c^7*e^4*f + 22592*b^3*c^6*e^4*g + 28800*c^9*d^2*e^2*f - 148608*c^9*d^3*e*g - 32000*b*c^8*d*e^3*f + 237312*b*c^8*d^2*e^2*g - 126656*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(139*b^2*e^2*g + 450*c^2*d^2*g + 28*b*c*e^2*f - 50*c^2*d*e*f - 500*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(14*b*e*g - 25*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (175104*c^9*d^4*g + 9104*b^3*c^6*e^4*f + 17688*b^4*c^5*e^4*g - 40704*c^9*d^3*e*f - 404160*b*c^8*d^3*e*g + 75456*b*c^8*d^2*e^2*f - 45728*b^2*c^7*d*e^3*f - 128016*b^3*c^6*d*e^3*g + 343584*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((10784*b^2*c^7*e^4*f + 33264*b^3*c^6*e^4*g + 36096*c^9*d^2*e^2*f - 226560*c^9*d^3*e*g - 39424*b*c^8*d*e^3*f + 357888*b*c^8*d^2*e^2*g - 188800*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(337*b^2*e^2*g + 1128*c^2*d^2*g + 58*b*c*e^2*f - 104*c^2*d*e*f - 1232*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (138624*c^9*d^4*g + 6720*b^3*c^6*e^4*f + 21936*b^4*c^5*e^4*g - 14208*c^9*d^3*e*f - 383424*b*c^8*d^3*e*g + 39360*b*c^8*d^2*e^2*f - 29536*b^2*c^7*d*e^3*f - 148944*b^3*c^6*d*e^3*g + 367200*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((9568*b^2*c^7*e^4*f + 28560*b^3*c^6*e^4*g + 31744*c^9*d^2*e^2*f - 193536*c^9*d^3*e*g - 34816*b*c^8*d*e^3*f + 306176*b*c^8*d^2*e^2*g - 161792*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(299*b^2*e^2*g + 992*c^2*d^2*g + 54*b*c*e^2*f - 96*c^2*d*e*f - 1088*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (183936*c^9*d^4*g + 9216*b^3*c^6*e^4*f + 21168*b^4*c^5*e^4*g - 38784*c^9*d^3*e*f - 445248*b*c^8*d^3*e*g + 74048*b*c^8*d^2*e^2*f - 45728*b^2*c^7*d*e^3*f - 150000*b^3*c^6*d*e^3*g + 391968*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((12000*b^2*c^7*e^4*f + 37968*b^3*c^6*e^4*g + 40448*c^9*d^2*e^2*f - 259584*c^9*d^3*e*g - 44032*b*c^8*d*e^3*f + 409600*b*c^8*d^2*e^2*g - 215808*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(375*b^2*e^2*g + 1264*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1376*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (157824*c^9*d^4*g + 7424*b^3*c^6*e^4*f + 25136*b^4*c^5*e^4*g - 15232*c^9*d^3*e*f - 437824*b*c^8*d^3*e*g + 43072*b*c^8*d^2*e^2*f - 32544*b^2*c^7*d*e^3*f - 170544*b^3*c^6*d*e^3*g + 420000*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((13216*b^2*c^7*e^4*f + 42672*b^3*c^6*e^4*g + 44800*c^9*d^2*e^2*f - 292608*c^9*d^3*e*g - 48640*b*c^8*d*e^3*f + 461312*b*c^8*d^2*e^2*g - 242816*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(413*b^2*e^2*g + 1400*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1520*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (177024*c^9*d^4*g + 8128*b^3*c^6*e^4*f + 28336*b^4*c^5*e^4*g - 16256*c^9*d^3*e*f - 492224*b*c^8*d^3*e*g + 46784*b*c^8*d^2*e^2*f - 35552*b^2*c^7*d*e^3*f - 192144*b^3*c^6*d*e^3*g + 472800*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((12256*b^2*c^7*e^4*f + 39632*b^3*c^6*e^4*g + 41472*c^9*d^2*e^2*f - 271872*c^9*d^3*e*g - 45056*b*c^8*d*e^3*f + 428544*b*c^8*d^2*e^2*g - 225536*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(383*b^2*e^2*g + 1296*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1408*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (352512*c^9*d^4*g + 13616*b^3*c^6*e^4*f + 35040*b^4*c^5*e^4*g - 63744*c^9*d^3*e*f - 809088*b*c^8*d^3*e*g + 116352*b*c^8*d^2*e^2*f - 69440*b^2*c^7*d*e^3*f - 254304*b^3*c^6*d*e^3*g + 684864*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((13600*b^2*c^7*e^4*f + 45168*b^3*c^6*e^4*g + 46336*c^9*d^2*e^2*f - 311040*c^9*d^3*e*g - 50176*b*c^8*d*e^3*f + 489728*b*c^8*d^2*e^2*g - 257408*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(425*b^2*e^2*g + 1448*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1568*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (406272*c^9*d^4*g + 15280*b^3*c^6*e^4*f + 40336*b^4*c^5*e^4*g - 71936*c^9*d^3*e*f - 932096*b*c^8*d^3*e*g + 131072*b*c^8*d^2*e^2*f - 78080*b^2*c^7*d*e^3*f - 292800*b^3*c^6*d*e^3*g + 788736*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((14944*b^2*c^7*e^4*f + 50704*b^3*c^6*e^4*g + 51200*c^9*d^2*e^2*f - 350208*c^9*d^3*e*g - 55296*b*c^8*d*e^3*f + 550912*b*c^8*d^2*e^2*g - 289280*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(467*b^2*e^2*g + 1600*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1728*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (460032*c^9*d^4*g + 16944*b^3*c^6*e^4*f + 45632*b^4*c^5*e^4*g - 80128*c^9*d^3*e*f - 1055104*b*c^8*d^3*e*g + 145792*b*c^8*d^2*e^2*f - 86720*b^2*c^7*d*e^3*f - 331296*b^3*c^6*d*e^3*g + 892608*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((15200*b^2*c^7*e^4*f + 52368*b^3*c^6*e^4*g + 52224*c^9*d^2*e^2*f - 362496*c^9*d^3*e*g - 56320*b*c^8*d*e^3*f + 569856*b*c^8*d^2*e^2*g - 299008*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(475*b^2*e^2*g + 1632*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1760*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (478464*c^9*d^4*g + 17328*b^3*c^6*e^4*f + 47424*b^4*c^5*e^4*g - 82176*c^9*d^3*e*f - 1097088*b*c^8*d^3*e*g + 149376*b*c^8*d^2*e^2*f - 88768*b^2*c^7*d*e^3*f - 344352*b^3*c^6*d*e^3*g + 927936*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((17056*b^2*c^7*e^4*f + 67872*b^3*c^6*e^4*g + 59392*c^9*d^2*e^2*f - 479232*c^9*d^3*e*g - 63616*b*c^8*d*e^3*f + 748544*b*c^8*d^2*e^2*g - 390176*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(533*b^2*e^2*g + 1856*c^2*d^2*g + 72*b*c*e^2*f - 132*c^2*d*e*f - 1988*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(18*b*e*g - 33*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (387072*c^9*d^4*g + 11808*b^3*c^6*e^4*f + 52224*b^4*c^5*e^4*g - 30720*c^9*d^3*e*f - 998400*b*c^8*d^3*e*g + 75776*b*c^8*d^2*e^2*f - 53792*b^2*c^7*d*e^3*f - 361728*b^3*c^6*d*e^3*g + 916992*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((20640*b^2*c^7*e^4*f + 87648*b^3*c^6*e^4*g + 72704*c^9*d^2*e^2*f - 623616*c^9*d^3*e*g - 77440*b*c^8*d*e^3*f + 971776*b*c^8*d^2*e^2*g - 505248*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(645*b^2*e^2*g + 2272*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2420*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(20*b*e*g - 37*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (294912*c^9*d^4*g + 10592*b^3*c^6*e^4*f + 56960*b^4*c^5*e^4*g - 7168*c^9*d^3*e*f - 898048*b*c^8*d^3*e*g + 47104*b*c^8*d^2*e^2*f - 42912*b^2*c^7*d*e^3*f - 378624*b^3*c^6*d*e^3*g + 904704*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((16672*b^2*c^7*e^4*f + 58736*b^3*c^6*e^4*g + 57600*c^9*d^2*e^2*f - 407808*c^9*d^3*e*g - 61952*b*c^8*d*e^3*f + 640512*b*c^8*d^2*e^2*g - 335744*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(521*b^2*e^2*g + 1800*c^2*d^2*g + 74*b*c*e^2*f - 136*c^2*d*e*f - 1936*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (541440*c^9*d^4*g + 19184*b^3*c^6*e^4*f + 53616*b^4*c^5*e^4*g - 91392*c^9*d^3*e*f - 1241088*b*c^8*d^3*e*g + 165888*b*c^8*d^2*e^2*f - 98432*b^2*c^7*d*e^3*f - 389376*b^3*c^6*d*e^3*g + 1049472*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((22432*b^2*c^7*e^4*f + 97536*b^3*c^6*e^4*g + 79360*c^9*d^2*e^2*f - 695808*c^9*d^3*e*g - 84352*b*c^8*d*e^3*f + 1083392*b*c^8*d^2*e^2*g - 562784*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(701*b^2*e^2*g + 2480*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2636*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(21*b*e*g - 39*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (323328*c^9*d^4*g + 11296*b^3*c^6*e^4*f + 63328*b^4*c^5*e^4*g - 5888*c^9*d^3*e*f - 991616*b*c^8*d^3*e*g + 48512*b*c^8*d^2*e^2*f - 45344*b^2*c^7*d*e^3*f - 420384*b^3*c^6*d*e^3*g + 1002432*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((18400*b^2*c^7*e^4*f + 66768*b^3*c^6*e^4*g + 64000*c^9*d^2*e^2*f - 465408*c^9*d^3*e*g - 68608*b*c^8*d*e^3*f + 730112*b*c^8*d^2*e^2*g - 382208*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(575*b^2*e^2*g + 2000*c^2*d^2*g + 78*b*c*e^2*f - 144*c^2*d*e*f - 2144*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (622848*c^9*d^4*g + 21424*b^3*c^6*e^4*f + 61600*b^4*c^5*e^4*g - 102656*c^9*d^3*e*f - 1427072*b*c^8*d^3*e*g + 185984*b*c^8*d^2*e^2*f - 110144*b^2*c^7*d*e^3*f - 447456*b^3*c^6*d*e^3*g + 1206336*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((24480*b^2*c^7*e^4*f + 109728*b^3*c^6*e^4*g + 87040*c^9*d^2*e^2*f - 785408*c^9*d^3*e*g - 92288*b*c^8*d*e^3*f + 1221632*b*c^8*d^2*e^2*g - 633888*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(765*b^2*e^2*g + 2720*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2884*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(22*b*e*g - 41*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (355840*c^9*d^4*g + 12000*b^3*c^6*e^4*f + 71104*b^4*c^5*e^4*g - 3584*c^9*d^3*e*f - 1102592*b*c^8*d^3*e*g + 48896*b*c^8*d^2*e^2*f - 47520*b^2*c^7*d*e^3*f - 471104*b^3*c^6*d*e^3*g + 1120128*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((18720*b^2*c^7*e^4*f + 76608*b^3*c^6*e^4*g + 65536*c^9*d^2*e^2*f - 542720*c^9*d^3*e*g - 70016*b*c^8*d*e^3*f + 846848*b*c^8*d^2*e^2*g - 440928*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(585*b^2*e^2*g + 2048*c^2*d^2*g + 76*b*c*e^2*f - 140*c^2*d*e*f - 2188*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(19*b*e*g - 35*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (610560*c^9*d^4*g + 22944*b^3*c^6*e^4*f + 64992*b^4*c^5*e^4*g - 113408*c^9*d^3*e*f - 1435776*b*c^8*d^3*e*g + 202880*b*c^8*d^2*e^2*f - 118944*b^2*c^7*d*e^3*f - 466272*b^3*c^6*d*e^3*g + 1237824*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((20384*b^2*c^7*e^4*f + 85344*b^3*c^6*e^4*g + 71680*c^9*d^2*e^2*f - 606208*c^9*d^3*e*g - 76416*b*c^8*d*e^3*f + 945152*b*c^8*d^2*e^2*g - 491680*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(637*b^2*e^2*g + 2240*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2388*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(20*b*e*g - 37*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (688128*c^9*d^4*g + 25440*b^3*c^6*e^4*f + 72960*b^4*c^5*e^4*g - 126976*c^9*d^3*e*f - 1615872*b*c^8*d^3*e*g + 226304*b*c^8*d^2*e^2*f - 132256*b^2*c^7*d*e^3*f - 523776*b^3*c^6*d*e^3*g + 1391616*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((22816*b^2*c^7*e^4*f + 101760*b^3*c^6*e^4*g + 80896*c^9*d^2*e^2*f - 728064*c^9*d^3*e*g - 85888*b*c^8*d*e^3*f + 1132544*b*c^8*d^2*e^2*g - 587744*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(713*b^2*e^2*g + 2528*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2684*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(21*b*e*g - 39*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1053696*c^9*d^4*g + 27520*b^3*c^6*e^4*f + 102976*b^4*c^5*e^4*g - 134144*c^9*d^3*e*f - 2404352*b*c^8*d^3*e*g + 241664*b*c^8*d^2*e^2*f - 142304*b^2*c^7*d*e^3*f - 749568*b^3*c^6*d*e^3*g + 2025984*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((36864*b^2*c^7*e^4*f + 213696*b^3*c^6*e^4*g + 134272*c^9*d^2*e^2*f - 1568768*c^9*d^3*e*g - 140672*b*c^8*d*e^3*f + 2420288*b*c^8*d^2*e^2*g - 1245312*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(576*b^2*e^2*g + 2098*c^2*d^2*g + 53*b*c*e^2*f - 100*c^2*d*e*f - 2198*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(53*b*e*g - 100*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (388096*c^9*d^4*g + 15168*b^3*c^6*e^4*f + 123520*b^4*c^5*e^4*g + 19456*c^9*d^3*e*f - 1570304*b*c^8*d^3*e*g + 37952*b*c^8*d^2*e^2*f - 54144*b^2*c^7*d*e^3*f - 789632*b^3*c^6*d*e^3*g + 1773312*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((24736*b^2*c^7*e^4*f + 113056*b^3*c^6*e^4*g + 88064*c^9*d^2*e^2*f - 811008*c^9*d^3*e*g - 93312*b*c^8*d*e^3*f + 1260544*b*c^8*d^2*e^2*g - 653600*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(773*b^2*e^2*g + 2752*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2916*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(22*b*e*g - 41*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1181184*c^9*d^4*g + 30048*b^3*c^6*e^4*f + 115328*b^4*c^5*e^4*g - 146944*c^9*d^3*e*f - 2694400*b*c^8*d^3*e*g + 264448*b*c^8*d^2*e^2*f - 155552*b^2*c^7*d*e^3*f - 839616*b^3*c^6*d*e^3*g + 2269824*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((31616*b^2*c^7*e^4*f + 171456*b^3*c^6*e^4*g + 114304*c^9*d^2*e^2*f - 1251328*c^9*d^3*e*g - 120192*b*c^8*d*e^3*f + 1934144*b*c^8*d^2*e^2*g - 997120*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(494*b^2*e^2*g + 1786*c^2*d^2*g + 49*b*c*e^2*f - 92*c^2*d*e*f - 1878*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(49*b*e*g - 92*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (786432*c^9*d^4*g + 5568*b^3*c^6*e^4*f + 132096*b^4*c^5*e^4*g + 75776*c^9*d^3*e*f - 2236416*b*c^8*d^3*e*g - 56512*b*c^8*d^2*e^2*f - 1792*b^2*c^7*d*e^3*f - 890880*b^3*c^6*d*e^3*g + 2174976*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((29376*b^2*c^7*e^4*f + 155520*b^3*c^6*e^4*g + 105856*c^9*d^2*e^2*f - 1132544*c^9*d^3*e*g - 111488*b*c^8*d*e^3*f + 1751744*b*c^8*d^2*e^2*g - 903744*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(459*b^2*e^2*g + 1654*c^2*d^2*g + 47*b*c*e^2*f - 88*c^2*d*e*f - 1742*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(47*b*e*g - 88*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1093632*c^9*d^4*g + 34176*b^3*c^6*e^4*f + 129024*b^4*c^5*e^4*g - 161792*c^9*d^3*e*f - 2672640*b*c^8*d^3*e*g + 295616*b*c^8*d^2*e^2*f - 175680*b^2*c^7*d*e^3*f - 910848*b^3*c^6*d*e^3*g + 2368512*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((26912*b^2*c^7*e^4*f + 126912*b^3*c^6*e^4*g + 96256*c^9*d^2*e^2*f - 913408*c^9*d^3*e*g - 101760*b*c^8*d*e^3*f + 1418240*b*c^8*d^2*e^2*g - 734560*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(841*b^2*e^2*g + 3008*c^2*d^2*g + 92*b*c*e^2*f - 172*c^2*d*e*f - 3180*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(23*b*e*g - 43*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1341440*c^9*d^4*g + 32960*b^3*c^6*e^4*f + 130816*b^4*c^5*e^4*g - 161792*c^9*d^3*e*f - 3058688*b*c^8*d^3*e*g + 290816*b*c^8*d^2*e^2*f - 170848*b^2*c^7*d*e^3*f - 952576*b^3*c^6*d*e^3*g + 2575872*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((29344*b^2*c^7*e^4*f + 144096*b^3*c^6*e^4*g + 105472*c^9*d^2*e^2*f - 1041408*c^9*d^3*e*g - 111232*b*c^8*d*e^3*f + 1614848*b*c^8*d^2*e^2*g - 835232*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((32*c^7*(917*b^2*e^2*g + 3296*c^2*d^2*g + 96*b*c*e^2*f - 180*c^2*d*e*f - 3476*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(24*b*e*g - 45*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (1546752*c^9*d^4*g + 36256*b^3*c^6*e^4*f + 150592*b^4*c^5*e^4*g - 178688*c^9*d^3*e*f - 3524864*b*c^8*d^3*e*g + 320768*b*c^8*d^2*e^2*f - 188192*b^2*c^7*d*e^3*f - 1096896*b^3*c^6*d*e^3*g + 2967168*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((34112*b^2*c^7*e^4*f + 190592*b^3*c^6*e^4*g + 123776*c^9*d^2*e^2*f - 1394688*c^9*d^3*e*g - 129920*b*c^8*d*e^3*f + 2153920*b*c^8*d^2*e^2*g - 1109440*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(533*b^2*e^2*g + 1934*c^2*d^2*g + 51*b*c*e^2*f - 96*c^2*d*e*f - 2030*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(51*b*e*g - 96*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (2084864*c^9*d^4*g + 57472*b^3*c^6*e^4*f + 196864*b^4*c^5*e^4*g - 329728*c^9*d^3*e*f - 4702208*b*c^8*d^3*e*g + 556480*b*c^8*d^2*e^2*f - 310720*b^2*c^7*d*e^3*f - 1441792*b^3*c^6*d*e^3*g + 3926016*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((39872*b^2*c^7*e^4*f + 241536*b^3*c^6*e^4*g + 145792*c^9*d^2*e^2*f - 1779712*c^9*d^3*e*g - 152448*b*c^8*d*e^3*f + 2742464*b*c^8*d^2*e^2*g - 1409344*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((64*c^7*(623*b^2*e^2*g + 2278*c^2*d^2*g + 55*b*c*e^2*f - 104*c^2*d*e*f - 2382*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((64*c^8*e*(55*b*e*g - 104*c*d*g + 2*c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (2797568*c^9*d^4*g + 50816*b^3*c^6*e^4*f + 270208*b^4*c^5*e^4*g - 253952*c^9*d^3*e*f - 6358016*b*c^8*d^3*e*g + 453824*b*c^8*d^2*e^2*f - 265024*b^2*c^7*d*e^3*f - 1970944*b^3*c^6*d*e^3*g + 5340672*b^2*c^7*d^2*e^2*g)/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b^4*e^3*g - 16*b*c^3*d^3*g + 6*b^3*c*e^3*f + 14*b*c^3*d^2*e*f - 12*b^3*c*d*e^2*g - 18*b^2*c^2*d*e^2*f + 24*b^2*c^2*d^2*e*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (d*((18*b^2*c^2*e^3*f - 32*c^4*d^3*g + 10*b^3*c*e^3*g + 28*c^4*d^2*e*f - 44*b*c^3*d*e^2*f + 62*b*c^3*d^2*e*g - 42*b^2*c^2*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) + (d*((d*((2*c^3*e^2*(7*b*e*g - 8*c*d*g + 2*c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (18*b^2*c^2*e^3*g + 14*b*c^3*e^3*f - 16*c^4*d*e^2*f + 28*c^4*d^2*e*g - 44*b*c^3*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((1472*b^2*c^4*e^3*f - 21248*c^6*d^3*g + 3328*b^3*c^3*e^3*g + 4880*c^6*d^2*e*f - 5360*b*c^5*d*e^2*f + 34312*b*c^5*d^2*e*g - 18496*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (1472*b^2*c^4*e^3*g + 264*b*c^5*e^3*f - 480*c^6*d*e^2*f + 4880*c^6*d^2*e*g - 5360*b*c^5*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (8*b*c^2*(166*b^3*e^3*g - 1328*c^3*d^3*g + 84*b^2*c*e^3*f + 305*c^3*d^2*e*f - 320*b*c^2*d*e^2*f + 1992*b*c^2*d^2*e*g - 996*b^2*c*d*e^2*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((2856*b^2*c^5*e^3*f - 45824*c^7*d^3*g + 7032*b^3*c^4*e^3*g + 9472*c^7*d^2*e*f - 10400*b*c^6*d*e^2*f + 73472*b*c^6*d^2*e*g - 39336*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(16*b*e*g - 29*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (2856*b^2*c^5*e^3*g + 512*b*c^6*e^3*f - 928*c^7*d*e^2*f + 9472*c^7*d^2*e*g - 10400*b*c^6*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(358*b^3*e^3*g - 2864*c^3*d^3*g + 163*b^2*c*e^3*f + 592*c^3*d^2*e*f - 621*b*c^2*d*e^2*f + 4296*b*c^2*d^2*e*g - 2148*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((3208*b^2*c^5*e^3*f - 53248*c^7*d^3*g + 8128*b^3*c^4*e^3*g + 10752*c^7*d^2*e*f - 11744*b*c^6*d*e^2*f + 85248*b*c^6*d^2*e*g - 45560*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(17*b*e*g - 31*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (3208*b^2*c^5*e^3*g + 544*b*c^6*e^3*f - 992*c^7*d*e^2*f + 10752*c^7*d^2*e*g - 11744*b*c^6*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(416*b^3*e^3*g - 3328*c^3*d^3*g + 184*b^2*c*e^3*f + 672*c^3*d^2*e*f - 703*b*c^2*d*e^2*f + 4992*b*c^2*d^2*e*g - 2496*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((8*c^4*e^2*(16*b*e*g - 29*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c^3*e*(84*b^2*e^2*g + 275*c^2*d^2*g + 16*b*c*e^2*f - 29*c^2*d*e*f - 304*b*c*d*e*g))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e + (672*b^2*c^3*e^4*f + 1328*b^3*c^2*e^4*g + 2200*c^5*d^2*e^2*f - 8184*c^5*d^3*e*g - 2432*b*c^4*d*e^3*f + 13376*b*c^4*d^2*e^2*g - 7296*b^2*c^3*d*e^3*g)/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (8*c*(b*e - c*d)*(97*b^3*e^3*g - 776*c^3*d^3*g + 69*b^2*c*e^3*f + 247*c^3*d^2*e*f - 261*b*c^2*d*e^2*f + 1164*b*c^2*d^2*e*g - 582*b^2*c*d*e^2*g))/(143*e*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((d*((d*((16*c^5*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(35*b^2*e^2*g + 96*c^2*d^2*g + 12*b*c*e^2*f - 20*c^2*d*e*f - 116*b*c*d*e*g))/(429*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (420*b^2*c^4*e^4*f + 576*b^3*c^3*e^4*g + 1152*c^6*d^2*e^2*f - 3200*c^6*d^3*e*g - 1392*b*c^5*d*e^3*f + 5376*b*c^5*d^2*e^2*g - 3036*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (3040*c^6*d^4*g + 356*b^3*c^3*e^4*f + 300*b^4*c^2*e^4*g - 1440*c^6*d^3*e*f - 6960*b*c^5*d^3*e*g + 2736*b*c^5*d^2*e^2*f - 1716*b^2*c^4*d*e^3*f - 2180*b^3*c^3*d*e^3*g + 5880*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((d*((16*c^6*e^2*(17*b*e*g - 28*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(105*b^2*e^2*g + 296*c^2*d^2*g + 34*b*c*e^2*f - 56*c^2*d*e*f - 352*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (840*b^2*c^5*e^4*f + 1308*b^3*c^4*e^4*g + 2368*c^7*d^2*e^2*f - 7616*c^7*d^3*e*g - 2816*b*c^6*d*e^3*f + 12608*b*c^6*d^2*e^2*g - 7008*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8064*c^7*d^4*g + 756*b^3*c^4*e^4*f + 780*b^4*c^3*e^4*g - 3200*c^7*d^3*e*f - 18336*b*c^6*d^3*e*g + 5984*b*c^6*d^2*e^2*f - 3696*b^2*c^5*d*e^3*f - 5688*b^3*c^4*d*e^3*g + 15408*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((8*c^5*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(146*b^2*e^2*g + 474*c^2*d^2*g + 29*b*c*e^2*f - 52*c^2*d*e*f - 526*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (1168*b^2*c^4*e^4*f + 2512*b^3*c^3*e^4*g + 3792*c^6*d^2*e^2*f - 15872*c^6*d^3*e*g - 4208*b*c^5*d*e^3*f + 25704*b*c^5*d^2*e^2*g - 13904*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (11200*c^6*d^4*g + 792*b^3*c^3*e^4*f + 1560*b^4*c^2*e^4*g - 2112*c^6*d^3*e*f - 29280*b*c^5*d^3*e*g + 5064*b*c^5*d^2*e^2*f - 3584*b^2*c^4*d*e^3*f - 10760*b^3*c^3*d*e^3*g + 27120*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((d*((d*((d*((8*c^5*e^2*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (8*c^4*e*(163*b^2*e^2*g + 534*c^2*d^2*g + 31*b*c*e^2*f - 56*c^2*d*e*f - 590*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (1304*b^2*c^4*e^4*f + 2864*b^3*c^3*e^4*g + 4272*c^6*d^2*e^2*f - 18176*c^6*d^3*e*g - 4720*b*c^5*d*e^3*f + 29400*b*c^5*d^2*e^2*g - 15880*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (21760*c^6*d^4*g + 1552*b^3*c^3*e^4*f + 2016*b^4*c^2*e^4*g - 7680*c^6*d^3*e*f - 48768*b*c^5*d^3*e*g + 13656*b*c^5*d^2*e^2*f - 8008*b^2*c^4*d*e^3*f - 14816*b^3*c^3*d*e^3*g + 40512*b^2*c^4*d^2*e^2*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((d*((32*c^6*e^2*(13*b*e*g - 23*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(249*b^2*e^2*g + 800*c^2*d^2*g + 52*b*c*e^2*f - 92*c^2*d*e*f - 892*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (1992*b^2*c^5*e^4*f + 4512*b^3*c^4*e^4*g + 6400*c^7*d^2*e^2*f - 28928*c^7*d^3*e*g - 7136*b*c^6*d*e^3*f + 46592*b*c^6*d^2*e^2*g - 25080*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (18624*c^7*d^4*g + 1224*b^3*c^4*e^4*f + 2808*b^4*c^3*e^4*g - 2624*c^7*d^3*e*f - 50400*b*c^6*d^3*e*g + 7136*b*c^6*d^2*e^2*f - 5352*b^2*c^5*d*e^3*f - 19176*b^3*c^4*d*e^3*g + 47664*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((64*c^7*e^2*(8*b*e*g - 13*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(51*b^2*e^2*g + 146*c^2*d^2*g + 16*b*c*e^2*f - 26*c^2*d*e*f - 172*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (1632*b^2*c^6*e^4*f + 2784*b^3*c^5*e^4*g + 4672*c^8*d^2*e^2*f - 16704*c^8*d^3*e*g - 5504*b*c^7*d*e^3*f + 27392*b*c^7*d^2*e^2*g - 15072*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (18432*c^8*d^4*g + 1488*b^3*c^5*e^4*f + 1800*b^4*c^4*e^4*g - 6336*c^8*d^3*e*f - 42048*b*c^7*d^3*e*g + 11840*b*c^7*d^2*e^2*f - 7296*b^2*c^6*d*e^3*f - 13104*b^3*c^5*d*e^3*g + 35424*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((32*c^6*e^2*(14*b*e*g - 25*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(281*b^2*e^2*g + 912*c^2*d^2*g + 56*b*c*e^2*f - 100*c^2*d*e*f - 1012*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (2248*b^2*c^5*e^4*f + 5224*b^3*c^4*e^4*g + 7296*c^7*d^2*e^2*f - 33664*c^7*d^3*e*g - 8096*b*c^6*d*e^3*f + 54144*b*c^6*d^2*e^2*g - 29096*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (43264*c^7*d^4*g + 2648*b^3*c^4*e^4*f + 3992*b^4*c^3*e^4*g - 13056*c^7*d^3*e*f - 96832*b*c^6*d^3*e*g + 23232*b*c^6*d^2*e^2*f - 13640*b^2*c^5*d*e^3*f - 29360*b^3*c^4*d*e^3*g + 80352*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((32*c^6*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(313*b^2*e^2*g + 1024*c^2*d^2*g + 60*b*c*e^2*f - 108*c^2*d*e*f - 1132*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (2504*b^2*c^5*e^4*f + 5936*b^3*c^4*e^4*g + 8192*c^7*d^2*e^2*f - 38400*c^7*d^3*e*g - 9056*b*c^6*d*e^3*f + 61696*b*c^6*d^2*e^2*g - 33112*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (49664*c^7*d^4*g + 2992*b^3*c^4*e^4*f + 4576*b^4*c^3*e^4*g - 14848*c^7*d^3*e*f - 111104*b*c^6*d^3*e*g + 26368*b*c^6*d^2*e^2*f - 15448*b^2*c^5*d*e^3*f - 33664*b^3*c^4*d*e^3*g + 92160*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(207*b^2*e^2*g + 656*c^2*d^2*g + 46*b*c*e^2*f - 80*c^2*d*e*f - 736*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (3312*b^2*c^6*e^4*f + 7656*b^3*c^5*e^4*g + 10496*c^8*d^2*e^2*f - 49408*c^8*d^3*e*g - 11776*b*c^7*d*e^3*f + 79360*b*c^7*d^2*e^2*g - 42624*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (30528*c^8*d^4*g + 2016*b^3*c^5*e^4*f + 4728*b^4*c^4*e^4*g - 4288*c^8*d^3*e*f - 83616*b*c^7*d^3*e*g + 11680*b*c^7*d^2*e^2*f - 8784*b^2*c^6*d*e^3*f - 32184*b^3*c^5*d*e^3*g + 79632*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(39*b*e*g - 72*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(287*b^2*e^2*g + 998*c^2*d^2*g + 39*b*c*e^2*f - 72*c^2*d*e*f - 1070*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4592*b^2*c^5*e^4*f + 16160*b^3*c^4*e^4*g + 15968*c^7*d^2*e^2*f - 112128*c^7*d^3*e*g - 17120*b*c^6*d*e^3*f + 176176*b*c^6*d^2*e^2*g - 92368*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (52736*c^7*d^4*g + 1120*b^3*c^4*e^4*f + 10816*b^4*c^3*e^4*g + 8192*c^7*d^3*e*f - 165632*b*c^6*d^3*e*g - 4304*b*c^6*d^2*e^2*f - 2128*b^2*c^5*d*e^3*f - 71488*b^3*c^4*d*e^3*g + 169344*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(25*b*e*g - 44*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(237*b^2*e^2*g + 760*c^2*d^2*g + 50*b*c*e^2*f - 88*c^2*d*e*f - 848*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (3792*b^2*c^6*e^4*f + 9048*b^3*c^5*e^4*g + 12160*c^8*d^2*e^2*f - 58752*c^8*d^3*e*g - 13568*b*c^7*d*e^3*f + 94208*b*c^7*d^2*e^2*g - 50496*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (75456*c^8*d^4*g + 4224*b^3*c^5*e^4*f + 7128*b^4*c^4*e^4*g - 20160*c^8*d^3*e*f - 170208*b*c^7*d^3*e*g + 36320*b*c^7*d^2*e^2*f - 21552*b^2*c^6*d*e^3*f - 52200*b^3*c^5*d*e^3*g + 142128*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(89*b^2*e^2*g + 288*c^2*d^2*g + 18*b*c*e^2*f - 32*c^2*d*e*f - 320*b*c*d*e*g))/(15015*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (4272*b^2*c^6*e^4*f + 10440*b^3*c^5*e^4*g + 13824*c^8*d^2*e^2*f - 68096*c^8*d^3*e*g - 15360*b*c^7*d*e^3*f + 109056*b*c^7*d^2*e^2*g - 58368*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (88128*c^8*d^4*g + 4832*b^3*c^5*e^4*f + 8312*b^4*c^4*e^4*g - 23232*c^8*d^3*e*f - 198688*b*c^7*d^3*e*g + 41760*b*c^7*d^2*e^2*f - 24720*b^2*c^6*d*e^3*f - 60888*b^3*c^5*d*e^3*g + 165840*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(37*b*e*g - 68*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(262*b^2*e^2*g + 906*c^2*d^2*g + 37*b*c*e^2*f - 68*c^2*d*e*f - 974*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (4192*b^2*c^5*e^4*f + 14368*b^3*c^4*e^4*g + 14496*c^7*d^2*e^2*f - 99328*c^7*d^3*e*g - 15584*b*c^6*d*e^3*f + 156240*b*c^6*d^2*e^2*g - 82016*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (93568*c^7*d^4*g + 4592*b^3*c^4*e^4*f + 10736*b^4*c^3*e^4*g - 21120*c^7*d^3*e*f - 226240*b*c^6*d^3*e*g + 38928*b*c^6*d^2*e^2*f - 23360*b^2*c^5*d*e^3*f - 76112*b^3*c^4*d*e^3*g + 199008*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((d*((32*c^7*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(297*b^2*e^2*g + 968*c^2*d^2*g + 58*b*c*e^2*f - 104*c^2*d*e*f - 1072*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (4752*b^2*c^6*e^4*f + 11832*b^3*c^5*e^4*g + 15488*c^8*d^2*e^2*f - 77440*c^8*d^3*e*g - 17152*b*c^7*d*e^3*f + 123904*b*c^7*d^2*e^2*g - 66240*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (100800*c^8*d^4*g + 5440*b^3*c^5*e^4*f + 9496*b^4*c^4*e^4*g - 26304*c^8*d^3*e*f - 227168*b*c^7*d^3*e*g + 47200*b*c^7*d^2*e^2*f - 27888*b^2*c^6*d*e^3*f - 69576*b^3*c^5*d*e^3*g + 189552*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(17*b*e*g - 31*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(449*b^2*e^2*g + 1536*c^2*d^2*g + 68*b*c*e^2*f - 124*c^2*d*e*f - 1660*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (7184*b^2*c^6*e^4*f + 23936*b^3*c^5*e^4*g + 24576*c^8*d^2*e^2*f - 164864*c^8*d^3*e*g - 26560*b*c^7*d*e^3*f + 259584*b*c^7*d^2*e^2*g - 136432*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (77696*c^8*d^4*g + 2896*b^3*c^5*e^4*f + 15376*b^4*c^4*e^4*g + 3456*c^8*d^3*e*f - 239552*b*c^7*d^3*e*g + 7104*b*c^7*d^2*e^2*f - 10192*b^2*c^6*d*e^3*f - 101968*b^3*c^5*d*e^3*g + 242784*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(18*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(493*b^2*e^2*g + 1696*c^2*d^2*g + 72*b*c*e^2*f - 132*c^2*d*e*f - 1828*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (7888*b^2*c^6*e^4*f + 26896*b^3*c^5*e^4*g + 27136*c^8*d^2*e^2*f - 185856*c^8*d^3*e*g - 29248*b*c^7*d*e^3*f + 292352*b*c^7*d^2*e^2*g - 153488*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (86272*c^8*d^4*g + 3056*b^3*c^5*e^4*f + 17312*b^4*c^4*e^4*g + 4864*c^8*d^3*e*f - 267904*b*c^7*d^3*e*g + 6272*b*c^7*d^2*e^2*f - 10448*b^2*c^6*d*e^3*f - 114656*b^3*c^5*d*e^3*g + 272448*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(16*b*e*g - 29*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(405*b^2*e^2*g + 1376*c^2*d^2*g + 64*b*c*e^2*f - 116*c^2*d*e*f - 1492*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (6480*b^2*c^6*e^4*f + 20976*b^3*c^5*e^4*g + 22016*c^8*d^2*e^2*f - 143872*c^8*d^3*e*g - 23872*b*c^7*d*e^3*f + 226816*b*c^7*d^2*e^2*g - 119376*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (142080*c^8*d^4*g + 7056*b^3*c^5*e^4*f + 15840*b^4*c^4*e^4*g - 32512*c^8*d^3*e*f - 339840*b*c^7*d^3*e*g + 59776*b*c^7*d^2*e^2*f - 35856*b^2*c^6*d*e^3*f - 112800*b^3*c^5*d*e^3*g + 296640*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((16*c^6*e^2*(41*b*e*g - 76*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(316*b^2*e^2*g + 1106*c^2*d^2*g + 41*b*c*e^2*f - 76*c^2*d*e*f - 1182*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (5056*b^2*c^5*e^4*f + 18432*b^3*c^4*e^4*g + 17696*c^7*d^2*e^2*f - 128512*c^7*d^3*e*g - 18912*b*c^6*d*e^3*f + 201616*b*c^6*d^2*e^2*g - 105536*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (212992*c^7*d^4*g + 7744*b^3*c^4*e^4*f + 18656*b^4*c^3*e^4*g - 43008*c^7*d^3*e*f - 468736*b*c^6*d^3*e*g + 73360*b*c^6*d^2*e^2*f - 41408*b^2*c^5*d*e^3*f - 138560*b^3*c^4*d*e^3*g + 383616*b^2*c^5*d^2*e^2*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((64*c^7*e^2*(18*b*e*g - 33*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(167*b^2*e^2*g + 576*c^2*d^2*g + 24*b*c*e^2*f - 44*c^2*d*e*f - 620*b*c*d*e*g))/(15015*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8016*b^2*c^6*e^4*f + 27792*b^3*c^5*e^4*g + 27648*c^8*d^2*e^2*f - 192512*c^8*d^3*e*g - 29760*b*c^7*d*e^3*f + 302592*b*c^7*d^2*e^2*g - 158736*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (297216*c^8*d^4*g + 10736*b^3*c^5*e^4*f + 27104*b^4*c^4*e^4*g - 56064*c^8*d^3*e*f - 662656*b*c^7*d^3*e*g + 97920*b*c^7*d^2*e^2*f - 56400*b^2*c^6*d*e^3*f - 199776*b^3*c^5*d*e^3*g + 548160*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(47*b*e*g - 88*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(439*b^2*e^2*g + 1574*c^2*d^2*g + 47*b*c*e^2*f - 88*c^2*d*e*f - 1662*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (14048*b^2*c^6*e^4*f + 67200*b^3*c^5*e^4*g + 50368*c^8*d^2*e^2*f - 484352*c^8*d^3*e*g - 53184*b*c^7*d*e^3*f + 751712*b*c^7*d^2*e^2*g - 389152*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32768*c^8*d^4*g - 640*b^3*c^5*e^4*f + 35968*b^4*c^4*e^4*g + 58368*c^8*d^3*e*f - 336896*b*c^7*d^3*e*g - 62368*b*c^7*d^2*e^2*f + 17888*b^2*c^6*d*e^3*f - 219904*b^3*c^5*d*e^3*g + 456192*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(19*b*e*g - 35*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(549*b^2*e^2*g + 1904*c^2*d^2*g + 76*b*c*e^2*f - 140*c^2*d*e*f - 2044*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (8784*b^2*c^6*e^4*f + 31200*b^3*c^5*e^4*g + 30464*c^8*d^2*e^2*f - 216832*c^8*d^3*e*g - 32704*b*c^7*d*e^3*f + 340480*b*c^7*d^2*e^2*g - 178416*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (337536*c^8*d^4*g + 11920*b^3*c^5*e^4*f + 30736*b^4*c^4*e^4*g - 62592*c^8*d^3*e*f - 752192*b*c^7*d^3*e*g + 109120*b*c^7*d^2*e^2*f - 62736*b^2*c^6*d*e^3*f - 226608*b^3*c^5*d*e^3*g + 621984*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((d*((64*c^7*e^2*(20*b*e*g - 37*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(605*b^2*e^2*g + 2112*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2260*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (9680*b^2*c^6*e^4*f + 35504*b^3*c^5*e^4*g + 33792*c^8*d^2*e^2*f - 247808*c^8*d^3*e*g - 36160*b*c^7*d*e^3*f + 388608*b*c^7*d^2*e^2*g - 203344*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (390144*c^8*d^4*g + 13360*b^3*c^5*e^4*f + 35456*b^4*c^4*e^4*g - 70656*c^8*d^3*e*f - 868864*b*c^7*d^3*e*g + 122880*b*c^7*d^2*e^2*f - 70480*b^2*c^6*d*e^3*f - 261504*b^3*c^5*d*e^3*g + 718080*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(43*b*e*g - 80*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(373*b^2*e^2*g + 1326*c^2*d^2*g + 43*b*c*e^2*f - 80*c^2*d*e*f - 1406*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (11936*b^2*c^6*e^4*f + 53888*b^3*c^5*e^4*g + 42432*c^8*d^2*e^2*f - 386048*c^8*d^3*e*g - 44992*b*c^7*d*e^3*f + 600288*b*c^7*d^2*e^2*g - 311392*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (315392*c^8*d^4*g + 6784*b^3*c^5*e^4*f + 43264*b^4*c^4*e^4*g - 9216*c^8*d^3*e*f - 819200*b*c^7*d^3*e*g + 35040*b*c^7*d^2*e^2*f - 28768*b^2*c^6*d*e^3*f - 299008*b^3*c^5*d*e^3*g + 755712*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(45*b*e*g - 84*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(404*b^2*e^2*g + 1442*c^2*d^2*g + 45*b*c*e^2*f - 84*c^2*d*e*f - 1526*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (12928*b^2*c^6*e^4*f + 59872*b^3*c^5*e^4*g + 46144*c^8*d^2*e^2*f - 430080*c^8*d^3*e*g - 48832*b*c^7*d*e^3*f + 668192*b*c^7*d^2*e^2*g - 346304*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (564736*c^8*d^4*g + 23072*b^3*c^5*e^4*f + 53696*b^4*c^4*e^4*g - 135680*c^8*d^3*e*f - 1276672*b*c^7*d^3*e*g + 226592*b*c^7*d^2*e^2*f - 125504*b^2*c^6*d*e^3*f - 392768*b^3*c^5*d*e^3*g + 1067904*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((32*c^7*e^2*(49*b*e*g - 92*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(478*b^2*e^2*g + 1722*c^2*d^2*g + 49*b*c*e^2*f - 92*c^2*d*e*f - 1814*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (15296*b^2*c^6*e^4*f + 76256*b^3*c^5*e^4*g + 55104*c^8*d^2*e^2*f - 551936*c^8*d^3*e*g - 58048*b*c^7*d*e^3*f + 855456*b*c^7*d^2*e^2*g - 442240*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (1026048*c^8*d^4*g + 23008*b^3*c^5*e^4*f + 90752*b^4*c^4*e^4*g - 125952*c^8*d^3*e*f - 2265088*b*c^7*d^3*e*g + 216480*b*c^7*d^2*e^2*f - 122752*b^2*c^6*d*e^3*f - 672768*b^3*c^5*d*e^3*g + 1858560*b^2*c^6*d^2*e^2*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((48512*b^2*c^7*e^4*f + 336896*b^3*c^6*e^4*g + 179072*c^9*d^2*e^2*f - 2508672*c^9*d^3*e*g - 186368*b*c^8*d*e^3*f + 3852544*b*c^8*d^2*e^2*g - 1972864*b^2*c^7*d*e^3*g)/(135135*e^2*(b*e - 2*c*d)^7) - (d*((128*c^7*(379*b^2*e^2*g + 1399*c^2*d^2*g + 30*b*c*e^2*f - 57*c^2*d*e*f - 1456*b*c*d*e*g))/(135135*(b*e - 2*c*d)^7) - (d*((128*c^8*e*(30*b*e*g - 57*c*d*g + c*e*f))/(135135*(b*e - 2*c*d)^7) - (128*c^9*d*e*g)/(135135*(b*e - 2*c*d)^7)))/e))/e))/e - (128*c^5*(b*e - c*d)*(2282*b^3*e^3*g - 18256*c^3*d^3*g + 350*b^2*c*e^3*f + 1343*c^3*d^2*e*f - 1371*b*c^2*d*e^2*f + 27384*b*c^2*d^2*e*g - 13692*b^2*c*d*e^2*g))/(135135*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((d*((4*c^3*e^2*(10*b*e*g - 17*c*d*g + c*e*f))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)) - (4*c^4*d*e^2*g)/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (4*c^2*e*(24*b^2*e^2*g + 59*c^2*d^2*g + 10*b*c*e^2*f - 17*c^2*d*e*f - 76*b*c*d*e*g))/(13*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e + (96*b^2*c^2*e^4*f + 236*c^4*d^2*e^2*f + 88*b^3*c*e^4*g - 396*c^4*d^3*e*g - 304*b*c^3*d*e^3*f + 712*b*c^3*d^2*e^2*g - 432*b^2*c^2*d*e^3*g)/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d))))/e - (4*(b*e - c*d)*(7*b^3*e^3*g - 56*c^3*d^3*g + 15*b^2*c*e^3*f + 43*c^3*d^2*e*f - 51*b*c^2*d*e^2*f + 84*b*c^2*d^2*e*g - 42*b^2*c*d*e^2*g))/(13*e*(11*b*e^2 - 22*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^6 - (((d*((132*b^2*c^4*e^3*f - 608*c^6*d^3*g + 126*b^3*c^3*e^3*g + 288*c^6*d^2*e*f - 384*b*c^5*d*e^2*f + 1056*b*c^5*d^2*e*g - 624*b^2*c^4*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) + (d*((d*((8*c^5*e^2*(9*b*e*g - 12*c*d*g + 2*c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (4*c^4*e*(11*b^2*e^2*g + 24*c^2*d^2*g + 6*b*c*e^2*f - 8*c^2*d*e*f - 32*b*c*d*e*g))/(429*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e))/e - (50*b^3*c^3*e^3*f + 38*b^4*c^2*e^3*g - 304*b*c^5*d^3*g + 144*b*c^5*d^2*e*f - 168*b^2*c^4*d*e^2*f + 456*b^2*c^4*d^2*e*g - 228*b^3*c^3*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((336*b^2*c^5*e^3*f - 2016*c^7*d^3*g + 384*b^3*c^4*e^3*g + 800*c^7*d^2*e*f - 1024*b*c^6*d*e^2*f + 3424*b*c^6*d^2*e*g - 1968*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(5*b*e*g - 7*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(21*b^2*e^2*g + 50*c^2*d^2*g + 10*b*c*e^2*f - 14*c^2*d*e*f - 64*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (132*b^3*c^4*e^3*f + 126*b^4*c^3*e^3*g - 1008*b*c^6*d^3*g + 400*b*c^6*d^2*e*f - 456*b^2*c^5*d*e^2*f + 1512*b^2*c^5*d^2*e*g - 756*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((984*b^2*c^5*e^3*f - 9216*c^7*d^3*g + 1572*b^3*c^4*e^3*g + 2816*c^7*d^2*e*f - 3328*b*c^6*d*e^2*f + 15232*b*c^6*d^2*e*g - 8448*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(19*b*e*g - 32*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(123*b^2*e^2*g + 352*c^2*d^2*g + 38*b*c*e^2*f - 64*c^2*d*e*f - 416*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (420*b^3*c^4*e^3*f + 576*b^4*c^3*e^3*g - 4608*b*c^6*d^3*g + 1408*b*c^6*d^2*e*f - 1536*b^2*c^5*d*e^2*f + 6912*b^2*c^5*d^2*e*g - 3456*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((1128*b^2*c^5*e^3*f - 10816*c^7*d^3*g + 1836*b^3*c^4*e^3*g + 3264*c^7*d^2*e*f - 3840*b*c^6*d*e^2*f + 17856*b*c^6*d^2*e*g - 9888*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(47*b^2*e^2*g + 136*c^2*d^2*g + 14*b*c*e^2*f - 24*c^2*d*e*f - 160*b*c*d*e*g))/(3003*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (484*b^3*c^4*e^3*f + 676*b^4*c^3*e^3*g - 5408*b*c^6*d^3*g + 1632*b*c^6*d^2*e*f - 1776*b^2*c^5*d*e^2*f + 8112*b^2*c^5*d^2*e*g - 4056*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((1272*b^2*c^5*e^3*f - 12416*c^7*d^3*g + 2100*b^3*c^4*e^3*g + 3712*c^7*d^2*e*f - 4352*b*c^6*d*e^2*f + 20480*b*c^6*d^2*e*g - 11328*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(23*b*e*g - 40*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(159*b^2*e^2*g + 464*c^2*d^2*g + 46*b*c*e^2*f - 80*c^2*d*e*f - 544*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (548*b^3*c^4*e^3*f + 776*b^4*c^3*e^3*g - 6208*b*c^6*d^3*g + 1856*b*c^6*d^2*e*f - 2016*b^2*c^5*d*e^2*f + 9312*b^2*c^5*d^2*e*g - 4656*b^3*c^4*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((1952*b^2*c^6*e^3*f - 20928*c^8*d^3*g + 3456*b^3*c^5*e^3*g + 5696*c^8*d^2*e*f - 6656*b*c^7*d*e^2*f + 34240*b*c^7*d^2*e*g - 18784*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(9*b*e*g - 15*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(61*b^2*e^2*g + 178*c^2*d^2*g + 18*b*c*e^2*f - 30*c^2*d*e*f - 208*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (840*b^3*c^5*e^3*f + 1308*b^4*c^4*e^3*g - 10464*b*c^7*d^3*g + 2848*b*c^7*d^2*e*f - 3088*b^2*c^6*d*e^2*f + 15696*b^2*c^6*d^2*e*g - 7848*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2272*b^2*c^6*e^3*f - 25152*c^8*d^3*g + 4128*b^3*c^5*e^3*g + 6720*c^8*d^2*e*f - 7808*b*c^7*d*e^2*f + 41088*b*c^7*d^2*e*g - 22496*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(10*b*e*g - 17*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(71*b^2*e^2*g + 210*c^2*d^2*g + 20*b*c*e^2*f - 34*c^2*d*e*f - 244*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (984*b^3*c^5*e^3*f + 1572*b^4*c^4*e^3*g - 12576*b*c^7*d^3*g + 3360*b*c^7*d^2*e*f - 3632*b^2*c^6*d*e^2*f + 18864*b^2*c^6*d^2*e*g - 9432*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2592*b^2*c^6*e^3*f - 29376*c^8*d^3*g + 4800*b^3*c^5*e^3*g + 7744*c^8*d^2*e*f - 8960*b*c^7*d*e^2*f + 47936*b*c^7*d^2*e*g - 26208*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(11*b*e*g - 19*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(81*b^2*e^2*g + 242*c^2*d^2*g + 22*b*c*e^2*f - 38*c^2*d*e*f - 280*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (1128*b^3*c^5*e^3*f + 1836*b^4*c^4*e^3*g - 14688*b*c^7*d^3*g + 3872*b*c^7*d^2*e*f - 4176*b^2*c^6*d*e^2*f + 22032*b^2*c^6*d^2*e*g - 11016*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((2912*b^2*c^6*e^3*f - 33600*c^8*d^3*g + 5472*b^3*c^5*e^3*g + 8768*c^8*d^2*e*f - 10112*b*c^7*d*e^2*f + 54784*b*c^7*d^2*e*g - 29920*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(12*b*e*g - 21*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(91*b^2*e^2*g + 274*c^2*d^2*g + 24*b*c*e^2*f - 42*c^2*d*e*f - 316*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (1272*b^3*c^5*e^3*f + 2100*b^4*c^4*e^3*g - 16800*b*c^7*d^3*g + 4384*b*c^7*d^2*e*f - 4720*b^2*c^6*d*e^2*f + 25200*b^2*c^6*d^2*e*g - 12600*b^3*c^5*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*f*(b*e - c*d)^3)/(13*b*e^2 - 26*c*d*e) - (d*((2*(b*e - c*d)^2*(b*e*g - c*d*g + 3*c*e*f))/(13*b*e^2 - 26*c*d*e) + (d*((d*((2*c^2*e^2*(3*b*e*g - 3*c*d*g + c*e*f))/(13*b*e^2 - 26*c*d*e) - (2*c^3*d*e^2*g)/(13*b*e^2 - 26*c*d*e)))/e - (6*c*e*(b*e - c*d)*(b*e*g - c*d*g + c*e*f))/(13*b*e^2 - 26*c*d*e)))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^7 + (((d*((d*((d*((16*c^5*e^2*(21*b*e*g - 39*c*d*g + c*e*f))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (16*c^6*d*e^2*g)/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^4*e*(164*b^2*e^2*g + 575*c^2*d^2*g + 21*b*c*e^2*f - 39*c^2*d*e*f - 614*b*c*d*e*g))/(1287*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e + (2624*b^2*c^4*e^4*f + 9376*b^3*c^3*e^4*g + 9200*c^6*d^2*e^2*f - 65168*c^6*d^3*e*g - 9824*b*c^5*d*e^3*f + 102352*b*c^5*d^2*e^2*g - 53632*b^2*c^4*d*e^3*g)/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3)))/e - (16*c^2*(b*e - c*d)*(442*b^3*e^3*g - 3536*c^3*d^3*g + 144*b^2*c*e^3*f + 537*c^3*d^2*e*f - 556*b*c^2*d*e^2*f + 5304*b*c^2*d^2*e*g - 2652*b^2*c*d*e^2*g))/(1287*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((d*((d*((32*c^6*e^2*(25*b*e*g - 47*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^5*e*(248*b^2*e^2*g + 895*c^2*d^2*g + 25*b*c*e^2*f - 47*c^2*d*e*f - 942*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e + (7936*b^2*c^5*e^4*f + 39744*b^3*c^4*e^4*g + 28640*c^7*d^2*e^2*f - 287776*c^7*d^3*e*g - 30144*b*c^6*d*e^3*f + 445984*b*c^6*d^2*e^2*g - 230528*b^2*c^5*d*e^3*g)/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (32*c^3*(b*e - c*d)*(1018*b^3*e^3*g - 8144*c^3*d^3*g + 224*b^2*c*e^3*f + 849*c^3*d^2*e*f - 872*b*c^2*d*e^2*f + 12216*b*c^2*d^2*e*g - 6108*b^2*c*d*e^2*g))/(9009*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((d*((64*c^7*e^2*(28*b*e*g - 53*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^6*e*(323*b^2*e^2*g + 1183*c^2*d^2*g + 28*b*c*e^2*f - 53*c^2*d*e*f - 1236*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e + (20672*b^2*c^6*e^4*f + 127104*b^3*c^5*e^4*g + 75712*c^8*d^2*e^2*f - 937664*c^8*d^3*e*g - 79104*b*c^7*d*e^3*f + 1444352*b*c^7*d^2*e^2*g - 741952*b^2*c^6*d*e^3*g)/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (64*c^4*(b*e - c*d)*(1690*b^3*e^3*g - 13520*c^3*d^3*g + 296*b^2*c*e^3*f + 1131*c^3*d^2*e*f - 1157*b*c^2*d*e^2*f + 20280*b*c^2*d^2*e*g - 10140*b^2*c*d*e^2*g))/(45045*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((50*b^2*c^3*e^3*f - 160*c^5*d^3*g + 38*b^3*c^2*e^3*g + 96*c^5*d^2*e*f - 136*b*c^4*d*e^2*f + 288*b*c^4*d^2*e*g - 178*b^2*c^3*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((8*c^4*e^2*(4*b*e*g - 5*c*d*g + c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (50*b^2*c^3*e^3*g + 32*b*c^4*e^3*f - 40*c^5*d*e^2*f + 96*c^5*d^2*e*g - 136*b*c^4*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (18*b^3*c^2*e^3*f - 80*b*c^4*d^3*g + 10*b^4*c*e^3*g + 48*b*c^4*d^2*e*f - 58*b^2*c^3*d*e^2*f + 120*b^2*c^3*d^2*e*g - 60*b^3*c^2*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((d*((232*b^2*c^3*e^3*f - 1408*c^5*d^3*g + 272*b^3*c^2*e^3*g + 616*c^5*d^2*e*f - 760*b*c^4*d*e^2*f + 2420*b*c^4*d^2*e*g - 1400*b^2*c^3*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) + (d*((d*((4*c^4*e^2*(21*b*e*g - 36*c*d*g + 2*c*e*f))/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2) - (8*c^5*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e - (232*b^2*c^3*e^3*g + 84*b*c^4*e^3*f - 144*c^5*d*e^2*f + 616*c^5*d^2*e*g - 760*b*c^4*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2)))/e))/e - (96*b^3*c^2*e^3*f - 704*b*c^4*d^3*g + 88*b^4*c*e^3*g + 308*b*c^4*d^2*e*f - 344*b^2*c^3*d*e^2*f + 1056*b^2*c^3*d^2*e*g - 528*b^3*c^2*d*e^2*g)/(143*(9*b*e^2 - 18*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((d*((2568*b^2*c^5*e^3*f - 40192*c^7*d^3*g + 6192*b^3*c^4*e^3*g + 8448*c^7*d^2*e*f - 9312*b*c^6*d*e^2*f + 64512*b*c^6*d^2*e*g - 34584*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((32*c^6*e^2*(15*b*e*g - 27*c*d*g + c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (8*c^5*e*(107*b^2*e^2*g + 352*c^2*d^2*g + 20*b*c*e^2*f - 36*c^2*d*e*f - 388*b*c*d*e*g))/(3003*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (8*b*c^3*(314*b^3*e^3*g - 2512*c^3*d^3*g + 146*b^2*c*e^3*f + 528*c^3*d^2*e*f - 555*b*c^2*d*e^2*f + 3768*b*c^2*d^2*e*g - 1884*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((832*b^2*c^6*e^3*f - 6144*c^8*d^3*g + 1104*b^3*c^5*e^3*g + 2112*c^8*d^2*e*f - 2624*b*c^7*d*e^2*f + 10272*b*c^7*d^2*e*g - 5792*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(11*b*e*g - 16*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(26*b^2*e^2*g + 66*c^2*d^2*g + 11*b*c*e^2*f - 16*c^2*d*e*f - 82*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(24*b^3*e^3*g - 192*c^3*d^3*g + 21*b^2*c*e^3*f + 66*c^3*d^2*e*f - 74*b*c^2*d*e^2*f + 288*b*c^2*d^2*e*g - 144*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((4400*b^2*c^6*e^3*f - 72192*c^8*d^3*g + 11016*b^3*c^5*e^3*g + 14336*c^8*d^2*e*f - 15872*b*c^7*d*e^2*f + 115456*b*c^7*d^2*e*g - 61696*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(27*b*e*g - 48*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(275*b^2*e^2*g + 896*c^2*d^2*g + 54*b*c*e^2*f - 96*c^2*d*e*f - 992*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(564*b^3*e^3*g - 4512*c^3*d^3*g + 249*b^2*c*e^3*f + 896*c^3*d^2*e*f - 944*b*c^2*d*e^2*f + 6768*b*c^2*d^2*e*g - 3384*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((4944*b^2*c^6*e^3*f - 83584*c^8*d^3*g + 12696*b^3*c^5*e^3*g + 16256*c^8*d^2*e*f - 17920*b*c^7*d*e^2*f + 133504*b*c^7*d^2*e*g - 71232*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(29*b*e*g - 52*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(309*b^2*e^2*g + 1016*c^2*d^2*g + 58*b*c*e^2*f - 104*c^2*d*e*f - 1120*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(653*b^3*e^3*g - 5224*c^3*d^3*g + 281*b^2*c*e^3*f + 1016*c^3*d^2*e*f - 1068*b*c^2*d*e^2*f + 7836*b*c^2*d^2*e*g - 3918*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((5488*b^2*c^6*e^3*f - 94976*c^8*d^3*g + 14376*b^3*c^5*e^3*g + 18176*c^8*d^2*e*f - 19968*b*c^7*d*e^2*f + 151552*b*c^7*d^2*e*g - 80768*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(343*b^2*e^2*g + 1136*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1248*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(742*b^3*e^3*g - 5936*c^3*d^3*g + 313*b^2*c*e^3*f + 1136*c^3*d^2*e*f - 1192*b*c^2*d*e^2*f + 8904*b*c^2*d^2*e*g - 4452*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((5584*b^2*c^5*e^3*f - 150016*c^7*d^3*g + 21376*b^3*c^4*e^3*g + 19680*c^7*d^2*e*f - 20960*b*c^6*d*e^2*f + 234864*b*c^6*d^2*e*g - 122672*b^2*c^5*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) + (d*((d*((16*c^6*e^2*(43*b*e*g - 80*c*d*g + 2*c*e*f))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (32*c^7*d*e^2*g)/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e - (16*c^5*e*(349*b^2*e^2*g + 1230*c^2*d^2*g + 43*b*c*e^2*f - 80*c^2*d*e*f - 1310*b*c*d*e*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4)))/e))/e - (16*b*c^3*(586*b^3*e^3*g - 4688*c^3*d^3*g + 164*b^2*c*e^3*f + 615*c^3*d^2*e*f - 635*b*c^2*d*e^2*f + 7032*b*c^2*d^2*e*g - 3516*b^2*c*d*e^2*g))/(9009*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((5616*b^2*c^6*e^3*f - 99072*c^8*d^3*g + 14952*b^3*c^5*e^3*g + 18688*c^8*d^2*e*f - 20480*b*c^7*d*e^2*f + 157952*b*c^7*d^2*e*g - 84096*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(31*b*e*g - 56*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(351*b^2*e^2*g + 1168*c^2*d^2*g + 62*b*c*e^2*f - 112*c^2*d*e*f - 1280*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(774*b^3*e^3*g - 6192*c^3*d^3*g + 321*b^2*c*e^3*f + 1168*c^3*d^2*e*f - 1224*b*c^2*d*e^2*f + 9288*b*c^2*d^2*e*g - 4644*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((6224*b^2*c^6*e^3*f - 112512*c^8*d^3*g + 16920*b^3*c^5*e^3*g + 20864*c^8*d^2*e*f - 22784*b*c^7*d*e^2*f + 179200*b*c^7*d^2*e*g - 95296*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(33*b*e*g - 60*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(389*b^2*e^2*g + 1304*c^2*d^2*g + 66*b*c*e^2*f - 120*c^2*d*e*f - 1424*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(879*b^3*e^3*g - 7032*c^3*d^3*g + 357*b^2*c*e^3*f + 1304*c^3*d^2*e*f - 1364*b*c^2*d*e^2*f + 10548*b*c^2*d^2*e*g - 5274*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((6960*b^2*c^6*e^3*f - 130048*c^8*d^3*g + 19464*b^3*c^5*e^3*g + 23552*c^8*d^2*e*f - 25600*b*c^7*d*e^2*f + 206848*b*c^7*d^2*e*g - 109824*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(35*b*e*g - 64*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(435*b^2*e^2*g + 1472*c^2*d^2*g + 70*b*c*e^2*f - 128*c^2*d*e*f - 1600*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (8*b*c^4*(1016*b^3*e^3*g - 8128*c^3*d^3*g + 401*b^2*c*e^3*f + 1472*c^3*d^2*e*f - 1536*b*c^2*d*e^2*f + 12192*b*c^2*d^2*e*g - 6096*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((8976*b^2*c^6*e^3*f - 229888*c^8*d^3*g + 32928*b^3*c^5*e^3*g + 31232*c^8*d^2*e*f - 33472*b*c^7*d*e^2*f + 360448*b*c^7*d^2*e*g - 188592*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(19*b*e*g - 35*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(561*b^2*e^2*g + 1952*c^2*d^2*g + 76*b*c*e^2*f - 140*c^2*d*e*f - 2092*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(898*b^3*e^3*g - 7184*c^3*d^3*g + 262*b^2*c*e^3*f + 976*c^3*d^2*e*f - 1011*b*c^2*d*e^2*f + 10776*b*c^2*d^2*e*g - 5388*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((9808*b^2*c^6*e^3*f - 258560*c^8*d^3*g + 36912*b^3*c^5*e^3*g + 34304*c^8*d^2*e*f - 36672*b*c^7*d*e^2*f + 404992*b*c^7*d^2*e*g - 211664*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(20*b*e*g - 37*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(613*b^2*e^2*g + 2144*c^2*d^2*g + 80*b*c*e^2*f - 148*c^2*d*e*f - 2292*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(1010*b^3*e^3*g - 8080*c^3*d^3*g + 287*b^2*c*e^3*f + 1072*c^3*d^2*e*f - 1109*b*c^2*d*e^2*f + 12120*b*c^2*d^2*e*g - 6060*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((10768*b^2*c^6*e^3*f - 294912*c^8*d^3*g + 41920*b^3*c^5*e^3*g + 37888*c^8*d^2*e*f - 40384*b*c^7*d*e^2*f + 461312*b*c^7*d^2*e*g - 240752*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(21*b*e*g - 39*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(673*b^2*e^2*g + 2368*c^2*d^2*g + 84*b*c*e^2*f - 156*c^2*d*e*f - 2524*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(1152*b^3*e^3*g - 9216*c^3*d^3*g + 316*b^2*c*e^3*f + 1184*c^3*d^2*e*f - 1223*b*c^2*d*e^2*f + 13824*b*c^2*d^2*e*g - 6912*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((11856*b^2*c^6*e^3*f - 342016*c^8*d^3*g + 48336*b^3*c^5*e^3*g + 41984*c^8*d^2*e*f - 44608*b*c^7*d*e^2*f + 534016*b*c^7*d^2*e*g - 278160*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((64*c^7*e^2*(22*b*e*g - 41*c*d*g + c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (16*c^6*e*(741*b^2*e^2*g + 2624*c^2*d^2*g + 88*b*c*e^2*f - 164*c^2*d*e*f - 2788*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (16*b*c^4*(1336*b^3*e^3*g - 10688*c^3*d^3*g + 349*b^2*c*e^3*f + 1312*c^3*d^2*e*f - 1353*b*c^2*d*e^2*f + 16032*b*c^2*d^2*e*g - 8016*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((16672*b^2*c^6*e^3*f - 635904*c^8*d^3*g + 87424*b^3*c^5*e^3*g + 60352*c^8*d^2*e*f - 63424*b*c^7*d*e^2*f + 984032*b*c^7*d^2*e*g - 507872*b^2*c^6*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (d*((d*((32*c^7*e^2*(51*b*e*g - 96*c*d*g + 2*c*e*f))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (64*c^8*d*e^2*g)/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e - (32*c^6*e*(521*b^2*e^2*g + 1886*c^2*d^2*g + 51*b*c*e^2*f - 96*c^2*d*e*f - 1982*b*c*d*e*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5)))/e))/e - (32*b*c^4*(1242*b^3*e^3*g - 9936*c^3*d^3*g + 248*b^2*c*e^3*f + 943*c^3*d^2*e*f - 967*b*c^2*d*e^2*f + 14904*b*c^2*d^2*e*g - 7452*b^2*c*d*e^2*g))/(45045*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2","B"
2208,-1,-1,360,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^11,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
2209,0,-1,340,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2), x)","F"
2210,0,-1,265,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^2)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^2)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2), x)","F"
2211,0,-1,149,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,\left(d+e\,x\right)}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2), x)","F"
2212,0,-1,121,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\int \frac{f+g\,x}{\left(d+e\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)), x)","F"
2213,1,101,137,2.793744,"\text{Not used}","int((f + g*x)/((d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","-\frac{2\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(2\,c\,d^2\,g-b\,e^2\,f-3\,b\,e^2\,g\,x+2\,c\,e^2\,f\,x-2\,b\,d\,e\,g+4\,c\,d\,e\,f+4\,c\,d\,e\,g\,x\right)}{3\,e^2\,{\left(b\,e-2\,c\,d\right)}^2\,{\left(d+e\,x\right)}^2}","Not used",1,"-(2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*(2*c*d^2*g - b*e^2*f - 3*b*e^2*g*x + 2*c*e^2*f*x - 2*b*d*e*g + 4*c*d*e*f + 4*c*d*e*g*x))/(3*e^2*(b*e - 2*c*d)^2*(d + e*x)^2)","B"
2214,1,471,210,3.320409,"\text{Not used}","int((f + g*x)/((d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\frac{\left(\frac{8\,c^2\,d\,g+16\,c^2\,e\,f-8\,b\,c\,e\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{2\,b\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c\,d\,g}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{12\,c\,d\,g-12\,b\,e\,g+8\,c\,e\,f}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}+\frac{4\,c\,d\,g}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{2\,f}{5\,b\,e^2-10\,c\,d\,e}-\frac{2\,d\,g}{e\,\left(5\,b\,e^2-10\,c\,d\,e\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{4\,c\,g\,\left(3\,b\,e-4\,c\,d\right)}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((8*c^2*d*g + 16*c^2*e*f - 8*b*c*e*g)/(15*e^2*(b*e - 2*c*d)^3) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2*b*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)) - (4*c*d*g)/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((12*c*d*g - 12*b*e*g + 8*c*e*f)/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)) + (4*c*d*g)/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((2*f)/(5*b*e^2 - 10*c*d*e) - (2*d*g)/(e*(5*b*e^2 - 10*c*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((4*c*g*(3*b*e - 4*c*d))/(15*e^2*(b*e - 2*c*d)^3) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2215,1,624,285,4.752230,"\text{Not used}","int((f + g*x)/((d + e*x)^4*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\frac{\left(\frac{40\,c^2\,d\,g+48\,c^2\,e\,f-40\,b\,c\,e\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{8\,c\,g\,\left(2\,b\,e-3\,c\,d\right)}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{2\,b\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c\,d\,g}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{16\,c\,d\,g-16\,b\,e\,g+12\,c\,e\,f}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}+\frac{4\,c\,d\,g}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{2\,f}{7\,b\,e^2-14\,c\,d\,e}-\frac{2\,d\,g}{e\,\left(7\,b\,e^2-14\,c\,d\,e\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{112\,c^3\,d\,g+96\,c^3\,e\,f-112\,b\,c^2\,e\,g}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}+\frac{16\,c^3\,d\,g}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((40*c^2*d*g + 48*c^2*e*f - 40*b*c*e*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((8*c*g*(2*b*e - 3*c*d))/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*b*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) - (4*c*d*g)/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((16*c*d*g - 16*b*e*g + 12*c*e*f)/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)) + (4*c*d*g)/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((2*f)/(7*b*e^2 - 14*c*d*e) - (2*d*g)/(e*(7*b*e^2 - 14*c*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((112*c^3*d*g + 96*c^3*e*f - 112*b*c^2*e*g)/(105*e^2*(b*e - 2*c*d)^4) + (16*c^3*d*g)/(105*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2216,1,949,360,8.011132,"\text{Not used}","int((f + g*x)/((d + e*x)^5*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\frac{\left(\frac{88\,c^2\,d\,g+96\,c^2\,e\,f-88\,b\,c\,e\,g}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^2\,d\,g}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{32\,c^3\,g\,\left(4\,b\,e-7\,c\,d\right)}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^4\,d\,g}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{4\,c\,g\,\left(5\,b\,e-8\,c\,d\right)}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{8\,c^2\,d\,g}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{400\,c^3\,d\,g+384\,c^3\,e\,f-400\,b\,c^2\,e\,g}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}+\frac{16\,c^3\,d\,g}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{2\,b\,g}{9\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}-\frac{4\,c\,d\,g}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{20\,c\,d\,g-20\,b\,e\,g+16\,c\,e\,f}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}+\frac{4\,c\,d\,g}{9\,e\,\left(7\,b\,e^2-14\,c\,d\,e\right)\,\left(b\,e-2\,c\,d\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{2\,f}{9\,b\,e^2-18\,c\,d\,e}-\frac{2\,d\,g}{e\,\left(9\,b\,e^2-18\,c\,d\,e\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^5}+\frac{\left(\frac{16\,c^3\,d\,g}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}+\frac{16\,c^2\,g\,\left(2\,b\,e-5\,c\,d\right)}{315\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{736\,c^4\,d\,g+768\,c^4\,e\,f-736\,b\,c^3\,e\,g}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{32\,c^4\,d\,g}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}","Not used",1,"(((88*c^2*d*g + 96*c^2*e*f - 88*b*c*e*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^2*d*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((32*c^3*g*(4*b*e - 7*c*d))/(945*e^2*(b*e - 2*c*d)^5) - (32*c^4*d*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4*c*g*(5*b*e - 8*c*d))/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (8*c^2*d*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((400*c^3*d*g + 384*c^3*e*f - 400*b*c^2*e*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (16*c^3*d*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((2*b*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) - (4*c*d*g)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((20*c*d*g - 20*b*e*g + 16*c*e*f)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)) + (4*c*d*g)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((2*f)/(9*b*e^2 - 18*c*d*e) - (2*d*g)/(e*(9*b*e^2 - 18*c*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 + (((16*c^3*d*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) + (16*c^2*g*(2*b*e - 5*c*d))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((736*c^4*d*g + 768*c^4*e*f - 736*b*c^3*e*g)/(945*e^2*(b*e - 2*c*d)^5) - (32*c^4*d*g)/(945*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)","B"
2217,0,-1,287,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2218,0,-1,213,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^2)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^2)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2219,1,344,129,4.040827,"\text{Not used}","int(((f + g*x)*(d + e*x))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\frac{4\,c\,d^3\,g+2\,b\,d\,e^2\,f-4\,b\,d^2\,e\,g-2\,b\,d\,e^2\,g\,x+4\,c\,d\,e^2\,f\,x}{\left(b^2\,e^4+4\,c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}+\frac{e\,g\,\ln\left(b\,e^2-2\,\sqrt{-c\,e^2}\,\sqrt{-\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}+2\,c\,e^2\,x\right)}{{\left(-c\,e^2\right)}^{3/2}}-\frac{e\,f\,\left(-4\,c\,d^2+4\,b\,d\,e+2\,b\,x\,e^2\right)}{\left(b^2\,e^4+4\,c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}+\frac{g\,\left(x\,\left(\frac{b^2\,e^4}{2}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)-\frac{b\,e^2\,\left(c\,d^2-b\,d\,e\right)}{2}\right)}{c\,e\,\left(\frac{b^2\,e^4}{4}+c\,e^2\,\left(c\,d^2-b\,d\,e\right)\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}","Not used",1,"(4*c*d^3*g + 2*b*d*e^2*f - 4*b*d^2*e*g - 2*b*d*e^2*g*x + 4*c*d*e^2*f*x)/((b^2*e^4 + 4*c*e^2*(c*d^2 - b*d*e))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)) + (e*g*log(b*e^2 - 2*(-c*e^2)^(1/2)*(-(d + e*x)*(b*e - c*d + c*e*x))^(1/2) + 2*c*e^2*x))/(-c*e^2)^(3/2) - (e*f*(4*b*d*e - 4*c*d^2 + 2*b*e^2*x))/((b^2*e^4 + 4*c*e^2*(c*d^2 - b*d*e))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)) + (g*(x*((b^2*e^4)/2 + c*e^2*(c*d^2 - b*d*e)) - (b*e^2*(c*d^2 - b*d*e))/2))/(c*e*((b^2*e^4)/4 + c*e^2*(c*d^2 - b*d*e))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))","B"
2220,1,872,136,3.200112,"\text{Not used}","int((f + g*x)/((d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\frac{\left(\frac{2\,b\,g}{3\,e\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{4\,c\,d\,g}{3\,e^2\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,d\,g}{3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2}-\frac{2\,e\,f}{3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{4\,c^3\,e\,\left(3\,b\,g-2\,c\,f\right)}{3\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{4\,b\,c^3\,e\,g}{3\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,c^3\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{3\,e\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(8\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e-10\,f\,b\,c\,e^2+8\,g\,c^2\,d^2+16\,f\,c^2\,d\,e\right)}{3\,e\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{2\,b\,c^2\,e\,\left(3\,b\,g-2\,c\,f\right)}{3\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{8\,c^3\,d\,g\,\left(b\,e-c\,d\right)}{3\,e\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{4\,c^3\,e\,\left(3\,b\,g-2\,c\,f\right)}{3\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{4\,b\,c^3\,e\,g}{3\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,c^3\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{3\,e\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(8\,g\,b^2\,e^2-16\,g\,b\,c\,d\,e-10\,f\,b\,c\,e^2+8\,g\,c^2\,d^2+16\,f\,c^2\,d\,e\right)}{3\,e\,{\left(b\,e-2\,c\,d\right)}^2\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"(((2*b*g)/(3*e*(b*e - 2*c*d)^3) - (4*c*d*g)/(3*e^2*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*d*g)/(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3) - (2*e*f)/(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + ((x*(((e*(b*e - c*d) + c*d*e)*((4*c^3*e*(3*b*g - 2*c*f))/(3*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (4*b*c^3*e*g)/(3*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*c^3*g*(e*(b*e - c*d) + c*d*e))/(3*e*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(8*b^2*e^2*g + 8*c^2*d^2*g - 10*b*c*e^2*f + 16*c^2*d*e*f - 16*b*c*d*e*g))/(3*e*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (2*b*c^2*e*(3*b*g - 2*c*f))/(3*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (8*c^3*d*g*(b*e - c*d))/(3*e*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*((4*c^3*e*(3*b*g - 2*c*f))/(3*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (4*b*c^3*e*g)/(3*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*c^3*g*(e*(b*e - c*d) + c*d*e))/(3*e*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(8*b^2*e^2*g + 8*c^2*d^2*g - 10*b*c*e^2*f + 16*c^2*d*e*f - 16*b*c*d*e*g))/(3*e*(b*e - 2*c*d)^2*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2221,1,2126,209,4.590783,"\text{Not used}","int((f + g*x)/((d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\frac{\left(\frac{d\,\left(\frac{16\,c^3\,f-16\,b\,c^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^5}+\frac{8\,c^3\,d\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5}\right)}{e}+\frac{2\,b\,c\,\left(3\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{4\,b\,c\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,b\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{4\,c\,d\,g}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{4\,c\,g\,\left(3\,b\,e-4\,c\,d\right)}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,d\,g}{5\,b^2\,e^4-20\,b\,c\,d\,e^3+20\,c^2\,d^2\,e^2}-\frac{2\,e\,f}{5\,b^2\,e^4-20\,b\,c\,d\,e^3+20\,c^2\,d^2\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(\frac{d\,\left(\frac{2\,c\,e\,\left(3\,b\,e\,g+2\,c\,d\,g-4\,c\,e\,f\right)}{5\,{\left(b\,e-2\,c\,d\right)}^2\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}-\frac{4\,c^2\,d\,e\,g}{5\,{\left(b\,e-2\,c\,d\right)}^2\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}\right)}{e}-\frac{12\,g\,b^2\,e^2-24\,g\,b\,c\,d\,e-18\,f\,b\,c\,e^2+12\,g\,c^2\,d^2+28\,f\,c^2\,d\,e}{5\,{\left(b\,e-2\,c\,d\right)}^2\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(x\,\left(\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^5\,e\,\left(c\,d\,g-3\,b\,e\,g+2\,c\,e\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^5\,e\,\left(c\,d\,g-3\,b\,e\,g+2\,c\,e\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(10\,g\,b^2\,c^2\,e^3-4\,g\,b\,c^3\,d\,e^2+12\,f\,b\,c^3\,e^3+24\,g\,c^4\,d^2\,e-56\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^4\,e\,\left(c\,d\,g-3\,b\,e\,g+2\,c\,e\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,c^5\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-36\,g\,b^3\,c\,e^3+168\,g\,b^2\,c^2\,d\,e^2+58\,f\,b^2\,c^2\,e^3-228\,g\,b\,c^3\,d^2\,e-220\,f\,b\,c^3\,d\,e^2+96\,g\,c^4\,d^3+192\,f\,c^4\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(10\,g\,b^2\,c^2\,e^3-4\,g\,b\,c^3\,d\,e^2+12\,f\,b\,c^3\,e^3+24\,g\,c^4\,d^2\,e-56\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^5\,e\,\left(c\,d\,g-3\,b\,e\,g+2\,c\,e\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(10\,g\,b^2\,c^2\,e^3-4\,g\,b\,c^3\,d\,e^2+12\,f\,b\,c^3\,e^3+24\,g\,c^4\,d^2\,e-56\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^4\,e\,\left(c\,d\,g-3\,b\,e\,g+2\,c\,e\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,c^5\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-36\,g\,b^3\,c\,e^3+168\,g\,b^2\,c^2\,d\,e^2+58\,f\,b^2\,c^2\,e^3-228\,g\,b\,c^3\,d^2\,e-220\,f\,b\,c^3\,d\,e^2+96\,g\,c^4\,d^3+192\,f\,c^4\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^4\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"(((d*((16*c^3*f - 16*b*c^2*g)/(15*(b*e - 2*c*d)^5) + (8*c^3*d*g)/(15*e*(b*e - 2*c*d)^5)))/e + (2*b*c*(3*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4*b*c*g)/(15*e*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2) - (4*c*d*g)/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((4*c*g*(3*b*e - 4*c*d))/(15*e^2*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*d*g)/(5*b^2*e^4 + 20*c^2*d^2*e^2 - 20*b*c*d*e^3) - (2*e*f)/(5*b^2*e^4 + 20*c^2*d^2*e^2 - 20*b*c*d*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((2*c*e*(3*b*e*g + 2*c*d*g - 4*c*e*f))/(5*(b*e - 2*c*d)^2*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3)) - (4*c^2*d*e*g)/(5*(b*e - 2*c*d)^2*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3))))/e - (12*b^2*e^2*g + 12*c^2*d^2*g - 18*b*c*e^2*f + 28*c^2*d*e*f - 24*b*c*d*e*g)/(5*(b*e - 2*c*d)^2*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - ((x*((d*(b*e - c*d)*((16*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^5*e*(c*d*g - 3*b*e*g + 2*c*e*f))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^5*e*(c*d*g - 3*b*e*g + 2*c*e*f))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(10*b^2*c^2*e^3*g + 12*b*c^3*e^3*f - 56*c^4*d*e^2*f + 24*c^4*d^2*e*g - 4*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^4*e*(c*d*g - 3*b*e*g + 2*c*e*f))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*c^5*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(96*c^4*d^3*g + 58*b^2*c^2*e^3*f - 36*b^3*c*e^3*g + 192*c^4*d^2*e*f - 220*b*c^3*d*e^2*f - 228*b*c^3*d^2*e*g + 168*b^2*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(10*b^2*c^2*e^3*g + 12*b*c^3*e^3*f - 56*c^4*d*e^2*f + 24*c^4*d^2*e*g - 4*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) - (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((16*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^5*e*(c*d*g - 3*b*e*g + 2*c*e*f))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(10*b^2*c^2*e^3*g + 12*b*c^3*e^3*f - 56*c^4*d*e^2*f + 24*c^4*d^2*e*g - 4*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^4*e*(c*d*g - 3*b*e*g + 2*c*e*f))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*c^5*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(96*c^4*d^3*g + 58*b^2*c^2*e^3*f - 36*b^3*c*e^3*g + 192*c^4*d^2*e*f - 220*b*c^3*d*e^2*f - 228*b*c^3*d^2*e*g + 168*b^2*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^4*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2222,1,4339,284,7.860243,"\text{Not used}","int((f + g*x)/((d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\frac{\left(\frac{8\,c\,g\,\left(2\,b\,e-3\,c\,d\right)}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(2\,c\,d\,g-7\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^7}+\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}+\frac{-20\,g\,b^2\,c^3\,e^2+80\,g\,b\,c^4\,d\,e+112\,f\,b\,c^4\,e^2+64\,g\,c^5\,d^2-320\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)}{e}-\frac{2\,b\,c^2\,\left(-11\,g\,b^2\,e^2+22\,g\,b\,c\,d\,e+34\,f\,b\,c\,e^2+16\,g\,c^2\,d^2-80\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{4\,b\,c\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{8\,c^2\,g\,\left(3\,b\,e-4\,c\,d\right)}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{16\,c^3\,d\,g}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{48\,c^4\,f-40\,b\,c^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6}+\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{8\,b\,c^2\,\left(2\,b\,g-3\,c\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{48\,c^4\,d\,g+48\,c^4\,e\,f-64\,b\,c^3\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6}+\frac{16\,c^4\,d\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{96\,c^4\,d\,f-72\,b\,c^3\,d\,g-72\,b\,c^3\,e\,f+52\,b^2\,c^2\,e\,g}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,b\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}-\frac{4\,c\,d\,g}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{8\,c^3\,d\,g-24\,c^3\,e\,f+16\,b\,c^2\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^3\,d\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)}{e}-\frac{2\,b\,c\,\left(3\,b\,e\,g+2\,c\,d\,g-6\,c\,e\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{2\,d\,g}{7\,b^2\,e^4-28\,b\,c\,d\,e^3+28\,c^2\,d^2\,e^2}-\frac{2\,e\,f}{7\,b^2\,e^4-28\,b\,c\,d\,e^3+28\,c^2\,d^2\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}+\frac{\left(\frac{d\,\left(\frac{2\,c\,e\,\left(3\,b\,e\,g+4\,c\,d\,g-6\,c\,e\,f\right)}{7\,{\left(b\,e-2\,c\,d\right)}^2\,\left(5\,b^2\,e^4-20\,b\,c\,d\,e^3+20\,c^2\,d^2\,e^2\right)}-\frac{4\,c^2\,d\,e\,g}{7\,{\left(b\,e-2\,c\,d\right)}^2\,\left(5\,b^2\,e^4-20\,b\,c\,d\,e^3+20\,c^2\,d^2\,e^2\right)}\right)}{e}-\frac{16\,g\,b^2\,e^2-32\,g\,b\,c\,d\,e-26\,f\,b\,c\,e^2+16\,g\,c^2\,d^2+40\,f\,c^2\,d\,e}{7\,{\left(b\,e-2\,c\,d\right)}^2\,\left(5\,b^2\,e^4-20\,b\,c\,d\,e^3+20\,c^2\,d^2\,e^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{-108\,g\,b^3\,c\,e^3+464\,g\,b^2\,c^2\,d\,e^2+162\,f\,b^2\,c^2\,e^3-604\,g\,b\,c^3\,d^2\,e-580\,f\,b\,c^3\,d\,e^2+248\,g\,c^4\,d^3+488\,f\,c^4\,d^2\,e}{35\,{\left(b\,e-2\,c\,d\right)}^4\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}+\frac{d\,\left(\frac{d\,\left(\frac{24\,c^3\,e^3\,\left(b\,g-c\,f\right)}{35\,{\left(b\,e-2\,c\,d\right)}^4\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}-\frac{8\,c^4\,d\,e^2\,g}{35\,{\left(b\,e-2\,c\,d\right)}^4\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}\right)}{e}-\frac{-22\,g\,b^2\,c^2\,e^3+68\,g\,b\,c^3\,d\,e^2+68\,f\,b\,c^3\,e^3+24\,g\,c^4\,d^2\,e-184\,f\,c^4\,d\,e^2}{35\,{\left(b\,e-2\,c\,d\right)}^4\,\left(3\,b^2\,e^4-12\,b\,c\,d\,e^3+12\,c^2\,d^2\,e^2\right)}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^7\,e\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^7\,e^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,c^6\,e\,\left(15\,g\,b^2\,e^2-22\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^7\,d\,e\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^7\,e\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^7\,e^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-246\,g\,b^3\,c^3\,e^4+1140\,g\,b^2\,c^4\,d\,e^3+216\,f\,b^2\,c^4\,e^4-1696\,g\,b\,c^5\,d^2\,e^2-992\,f\,b\,c^5\,d\,e^3+592\,g\,c^6\,d^3\,e+1264\,f\,c^6\,d^2\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^5\,e\,\left(15\,g\,b^2\,e^2-22\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^7\,e\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^7\,e^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,c^6\,e\,\left(15\,g\,b^2\,e^2-22\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^7\,d\,e\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(452\,g\,b^4\,c^2\,e^4-2832\,g\,b^3\,c^3\,d\,e^3-538\,f\,b^3\,c^3\,e^4+6420\,g\,b^2\,c^4\,d^2\,e^2+3012\,f\,b^2\,c^4\,d\,e^3-6152\,g\,b\,c^5\,d^3\,e-5528\,f\,b\,c^5\,d^2\,e^2+2112\,g\,c^6\,d^4+3264\,f\,c^6\,d^3\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(-246\,g\,b^3\,c^3\,e^4+1140\,g\,b^2\,c^4\,d\,e^3+216\,f\,b^2\,c^4\,e^4-1696\,g\,b\,c^5\,d^2\,e^2-992\,f\,b\,c^5\,d\,e^3+592\,g\,c^6\,d^3\,e+1264\,f\,c^6\,d^2\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^7\,e\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^7\,e^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,c^6\,e\,\left(15\,g\,b^2\,e^2-22\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^7\,d\,e\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^2\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^7\,e\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^7\,e^3\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-246\,g\,b^3\,c^3\,e^4+1140\,g\,b^2\,c^4\,d\,e^3+216\,f\,b^2\,c^4\,e^4-1696\,g\,b\,c^5\,d^2\,e^2-992\,f\,b\,c^5\,d\,e^3+592\,g\,c^6\,d^3\,e+1264\,f\,c^6\,d^2\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^5\,e\,\left(15\,g\,b^2\,e^2-22\,g\,b\,c\,d\,e+16\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-68\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(452\,g\,b^4\,c^2\,e^4-2832\,g\,b^3\,c^3\,d\,e^3-538\,f\,b^3\,c^3\,e^4+6420\,g\,b^2\,c^4\,d^2\,e^2+3012\,f\,b^2\,c^4\,d\,e^3-6152\,g\,b\,c^5\,d^3\,e-5528\,f\,b\,c^5\,d^2\,e^2+2112\,g\,c^6\,d^4+3264\,f\,c^6\,d^3\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"(((8*c*g*(2*b*e - 3*c*d))/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((8*c^4*(2*c*d*g - 7*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^7) + (16*c^5*d*g)/(105*(b*e - 2*c*d)^7)))/e + (64*c^5*d^2*g - 20*b^2*c^3*e^2*g - 320*c^5*d*e*f + 112*b*c^4*e^2*f + 80*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^7)))/e - (2*b*c^2*(16*c^2*d^2*g - 11*b^2*e^2*g + 34*b*c*e^2*f - 80*c^2*d*e*f + 22*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((4*b*c*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((8*c^2*g*(3*b*e - 4*c*d))/(105*e^2*(b*e - 2*c*d)^5) - (16*c^3*d*g)/(105*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((48*c^4*f - 40*b*c^3*g)/(105*(b*e - 2*c*d)^6) + (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^6)))/e + (8*b*c^2*(2*b*g - 3*c*f))/(105*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((48*c^4*d*g + 48*c^4*e*f - 64*b*c^3*e*g)/(105*e*(b*e - 2*c*d)^6) + (16*c^4*d*g)/(105*e*(b*e - 2*c*d)^6)))/e + (96*c^4*d*f - 72*b*c^3*d*g - 72*b*c^3*e*f + 52*b^2*c^2*e*g)/(105*e*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*b*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2) - (4*c*d*g)/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((8*c^3*d*g - 24*c^3*e*f + 16*b*c^2*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (8*c^3*d*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4)))/e - (2*b*c*(3*b*e*g + 2*c*d*g - 6*c*e*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((2*d*g)/(7*b^2*e^4 + 28*c^2*d^2*e^2 - 28*b*c*d*e^3) - (2*e*f)/(7*b^2*e^4 + 28*c^2*d^2*e^2 - 28*b*c*d*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 + (((d*((2*c*e*(3*b*e*g + 4*c*d*g - 6*c*e*f))/(7*(b*e - 2*c*d)^2*(5*b^2*e^4 + 20*c^2*d^2*e^2 - 20*b*c*d*e^3)) - (4*c^2*d*e*g)/(7*(b*e - 2*c*d)^2*(5*b^2*e^4 + 20*c^2*d^2*e^2 - 20*b*c*d*e^3))))/e - (16*b^2*e^2*g + 16*c^2*d^2*g - 26*b*c*e^2*f + 40*c^2*d*e*f - 32*b*c*d*e*g)/(7*(b*e - 2*c*d)^2*(5*b^2*e^4 + 20*c^2*d^2*e^2 - 20*b*c*d*e^3)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((248*c^4*d^3*g + 162*b^2*c^2*e^3*f - 108*b^3*c*e^3*g + 488*c^4*d^2*e*f - 580*b*c^3*d*e^2*f - 604*b*c^3*d^2*e*g + 464*b^2*c^2*d*e^2*g)/(35*(b*e - 2*c*d)^4*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3)) + (d*((d*((24*c^3*e^3*(b*g - c*f))/(35*(b*e - 2*c*d)^4*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3)) - (8*c^4*d*e^2*g)/(35*(b*e - 2*c*d)^4*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3))))/e - (68*b*c^3*e^3*f - 22*b^2*c^2*e^3*g - 184*c^4*d*e^2*f + 24*c^4*d^2*e*g + 68*b*c^3*d*e^2*g)/(35*(b*e - 2*c*d)^4*(3*b^2*e^4 + 12*c^2*d^2*e^2 - 12*b*c*d*e^3))))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^7*e*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^7*e^3*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*c^6*e*(15*b^2*e^2*g + 44*c^2*d^2*g + 16*b*c*e^2*f - 68*c^2*d*e*f - 22*b*c*d*e*g))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^7*d*e*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((16*c^7*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^7*e*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^7*e^3*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(216*b^2*c^4*e^4*f - 246*b^3*c^3*e^4*g + 1264*c^6*d^2*e^2*f + 592*c^6*d^3*e*g - 992*b*c^5*d*e^3*f - 1696*b*c^5*d^2*e^2*g + 1140*b^2*c^4*d*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^5*e*(15*b^2*e^2*g + 44*c^2*d^2*g + 16*b*c*e^2*f - 68*c^2*d*e*f - 22*b*c*d*e*g))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^7*e*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^7*e^3*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*c^6*e*(15*b^2*e^2*g + 44*c^2*d^2*g + 16*b*c*e^2*f - 68*c^2*d*e*f - 22*b*c*d*e*g))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^7*d*e*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(2112*c^6*d^4*g - 538*b^3*c^3*e^4*f + 452*b^4*c^2*e^4*g + 3264*c^6*d^3*e*f - 6152*b*c^5*d^3*e*g - 5528*b*c^5*d^2*e^2*f + 3012*b^2*c^4*d*e^3*f - 2832*b^3*c^3*d*e^3*g + 6420*b^2*c^4*d^2*e^2*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(216*b^2*c^4*e^4*f - 246*b^3*c^3*e^4*g + 1264*c^6*d^2*e^2*f + 592*c^6*d^3*e*g - 992*b*c^5*d*e^3*f - 1696*b*c^5*d^2*e^2*g + 1140*b^2*c^4*d*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^7*e*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^7*e^3*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*c^6*e*(15*b^2*e^2*g + 44*c^2*d^2*g + 16*b*c*e^2*f - 68*c^2*d*e*f - 22*b*c*d*e*g))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^7*d*e*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((16*c^7*e^2*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^7*e*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^7*e^3*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(216*b^2*c^4*e^4*f - 246*b^3*c^3*e^4*g + 1264*c^6*d^2*e^2*f + 592*c^6*d^3*e*g - 992*b*c^5*d*e^3*f - 1696*b*c^5*d^2*e^2*g + 1140*b^2*c^4*d*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^5*e*(15*b^2*e^2*g + 44*c^2*d^2*g + 16*b*c*e^2*f - 68*c^2*d*e*f - 22*b*c*d*e*g))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(2112*c^6*d^4*g - 538*b^3*c^3*e^4*f + 452*b^4*c^2*e^4*g + 3264*c^6*d^3*e*f - 6152*b*c^5*d^3*e*g - 5528*b*c^5*d^2*e^2*f + 3012*b^2*c^4*d*e^3*f - 2832*b^3*c^3*d*e^3*g + 6420*b^2*c^4*d^2*e^2*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2223,0,-1,364,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^5)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^5}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^5)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2224,0,-1,291,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^4)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^4)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2225,0,-1,177,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^3)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2226,1,107,146,3.299302,"\text{Not used}","int(((f + g*x)*(d + e*x)^2)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{2\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(3\,b\,e^2\,f+2\,c\,d^2\,g+b\,e^2\,g\,x+2\,c\,e^2\,f\,x-2\,b\,d\,e\,g-4\,c\,d\,e\,f-4\,c\,d\,e\,g\,x\right)}{3\,e^2\,{\left(b\,e-2\,c\,d\right)}^2\,{\left(b\,e-c\,d+c\,e\,x\right)}^2}","Not used",1,"-(2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*(3*b*e^2*f + 2*c*d^2*g + b*e^2*g*x + 2*c*e^2*f*x - 2*b*d*e*g - 4*c*d*e*f - 4*c*d*e*g*x))/(3*e^2*(b*e - 2*c*d)^2*(b*e - c*d + c*e*x)^2)","B"
2227,1,795,165,3.442570,"\text{Not used}","int(((f + g*x)*(d + e*x))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{8\,c^2\,d^3\,g\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-6\,b^2\,e^3\,f\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-16\,c^2\,e^3\,f\,x^2\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+12\,b^2\,d\,e^2\,g\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+8\,c^2\,d^2\,e\,f\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+6\,b^2\,e^3\,g\,x\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+4\,b\,c\,e^3\,g\,x^2\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+16\,c^2\,d\,e^2\,f\,x\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-8\,c^2\,d^2\,e\,g\,x\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+8\,c^2\,d\,e^2\,g\,x^2\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-20\,b\,c\,d^2\,e\,g\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}-24\,b\,c\,e^3\,f\,x\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}+8\,b\,c\,d\,e^2\,g\,x\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{3\,b^5\,d\,e^7+3\,b^5\,e^8\,x-24\,b^4\,c\,d^2\,e^6-18\,b^4\,c\,d\,e^7\,x+6\,b^4\,c\,e^8\,x^2+75\,b^3\,c^2\,d^3\,e^5+33\,b^3\,c^2\,d^2\,e^6\,x-39\,b^3\,c^2\,d\,e^7\,x^2+3\,b^3\,c^2\,e^8\,x^3-114\,b^2\,c^3\,d^4\,e^4-6\,b^2\,c^3\,d^3\,e^5\,x+90\,b^2\,c^3\,d^2\,e^6\,x^2-18\,b^2\,c^3\,d\,e^7\,x^3+84\,b\,c^4\,d^5\,e^3-36\,b\,c^4\,d^4\,e^4\,x-84\,b\,c^4\,d^3\,e^5\,x^2+36\,b\,c^4\,d^2\,e^6\,x^3-24\,c^5\,d^6\,e^2+24\,c^5\,d^5\,e^3\,x+24\,c^5\,d^4\,e^4\,x^2-24\,c^5\,d^3\,e^5\,x^3}","Not used",1,"-(8*c^2*d^3*g*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - 6*b^2*e^3*f*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - 16*c^2*e^3*f*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 12*b^2*d*e^2*g*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 8*c^2*d^2*e*f*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 6*b^2*e^3*g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 4*b*c*e^3*g*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 16*c^2*d*e^2*f*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - 8*c^2*d^2*e*g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 8*c^2*d*e^2*g*x^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - 20*b*c*d^2*e*g*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - 24*b*c*e^3*f*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + 8*b*c*d*e^2*g*x*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(3*b^5*d*e^7 + 3*b^5*e^8*x - 24*c^5*d^6*e^2 + 84*b*c^4*d^5*e^3 - 24*b^4*c*d^2*e^6 + 6*b^4*c*e^8*x^2 + 24*c^5*d^5*e^3*x - 114*b^2*c^3*d^4*e^4 + 75*b^3*c^2*d^3*e^5 + 3*b^3*c^2*e^8*x^3 + 24*c^5*d^4*e^4*x^2 - 24*c^5*d^3*e^5*x^3 - 18*b^4*c*d*e^7*x + 90*b^2*c^3*d^2*e^6*x^2 - 36*b*c^4*d^4*e^4*x - 6*b^2*c^3*d^3*e^5*x + 33*b^3*c^2*d^2*e^6*x - 84*b*c^4*d^3*e^5*x^2 - 39*b^3*c^2*d*e^7*x^2 + 36*b*c^4*d^2*e^6*x^3 - 18*b^2*c^3*d*e^7*x^3)","B"
2228,1,3326,208,5.127525,"\text{Not used}","int((f + g*x)/((d + e*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)),x)","\frac{x\,\left(\frac{16\,c^2\,\left(b\,g-c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{8\,b\,c^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^5}\right)+\frac{10\,g\,b^2\,c\,e^2+20\,g\,b\,c^2\,d\,e-44\,f\,b\,c^2\,e^2-56\,g\,c^3\,d^2+72\,f\,c^3\,d\,e}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}+\frac{8\,c^2\,g\,\left(c\,d^2-b\,d\,e\right)}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}+\frac{\left(\frac{4\,b\,c\,g}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{2\,e^2\,f}{5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3}-\frac{2\,d\,e\,g}{5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{2\,b\,g}{5\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{4\,c\,d\,g}{5\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{4\,c\,g\,\left(3\,b\,e-4\,c\,d\right)}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}-\frac{8\,c^2\,d\,g}{15\,e^2\,{\left(b\,e-2\,c\,d\right)}^5}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{4\,c^4\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,c^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{4\,b\,c^4\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(8\,g\,b^2\,c\,e^3+14\,g\,b\,c^2\,d\,e^2-26\,f\,b\,c^2\,e^3-32\,g\,c^3\,d^2\,e+36\,f\,c^3\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{2\,b\,c^3\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{8\,c^4\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{4\,c^4\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,c^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{4\,b\,c^4\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-12\,g\,b^3\,e^3+36\,g\,b^2\,c\,d\,e^2+28\,f\,b^2\,c\,e^3-36\,g\,b\,c^2\,d^2\,e-86\,f\,b\,c^2\,d\,e^2+12\,g\,c^3\,d^3+68\,f\,c^3\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(8\,g\,b^2\,c\,e^3+14\,g\,b\,c^2\,d\,e^2-26\,f\,b\,c^2\,e^3-32\,g\,c^3\,d^2\,e+36\,f\,c^3\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{4\,c^4\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,c^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{4\,b\,c^4\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(8\,g\,b^2\,c\,e^3+14\,g\,b\,c^2\,d\,e^2-26\,f\,b\,c^2\,e^3-32\,g\,c^3\,d^2\,e+36\,f\,c^3\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{2\,b\,c^3\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{8\,c^4\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(-12\,g\,b^3\,e^3+36\,g\,b^2\,c\,d\,e^2+28\,f\,b^2\,c\,e^3-36\,g\,b\,c^2\,d^2\,e-86\,f\,b\,c^2\,d\,e^2+12\,g\,c^3\,d^3+68\,f\,c^3\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^3\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2\,{\left(b\,e-c\,d+c\,e\,x\right)}^2}+\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^5\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-48\,g\,b^2\,c^2\,e^3+8\,g\,b\,c^3\,d\,e^2+104\,f\,b\,c^3\,e^3+64\,g\,c^4\,d^2\,e-144\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^4\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^5\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^5\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-60\,g\,b^3\,c\,e^3+324\,g\,b^2\,c^2\,d\,e^2+84\,f\,b^2\,c^2\,e^3-432\,g\,b\,c^3\,d^2\,e-440\,f\,b\,c^3\,d\,e^2+96\,g\,c^4\,d^3+512\,f\,c^4\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(-48\,g\,b^2\,c^2\,e^3+8\,g\,b\,c^3\,d\,e^2+104\,f\,b\,c^3\,e^3+64\,g\,c^4\,d^2\,e-144\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^5\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,c^5\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,b\,c^5\,e^2\,g}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-48\,g\,b^2\,c^2\,e^3+8\,g\,b\,c^3\,d\,e^2+104\,f\,b\,c^3\,e^3+64\,g\,c^4\,d^2\,e-144\,f\,c^4\,d\,e^2\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^4\,e^2\,\left(5\,b\,g-4\,c\,f\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^5\,d\,g\,\left(b\,e-c\,d\right)}{15\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-60\,g\,b^3\,c\,e^3+324\,g\,b^2\,c^2\,d\,e^2+84\,f\,b^2\,c^2\,e^3-432\,g\,b\,c^3\,d^2\,e-440\,f\,b\,c^3\,d\,e^2+96\,g\,c^4\,d^3+512\,f\,c^4\,d^2\,e\right)}{15\,e\,{\left(b\,e-2\,c\,d\right)}^5\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"(x*((16*c^2*(b*g - c*f))/(15*(b*e - 2*c*d)^5) - (8*b*c^2*g)/(15*(b*e - 2*c*d)^5)) + (72*c^3*d*e*f - 56*c^3*d^2*g - 44*b*c^2*e^2*f + 10*b^2*c*e^2*g + 20*b*c^2*d*e*g)/(15*e^2*(b*e - 2*c*d)^5) + (8*c^2*g*(c*d^2 - b*d*e))/(15*e^2*(b*e - 2*c*d)^5))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + (((4*b*c*g)/(15*e*(b*e - 2*c*d)^5) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((2*e^2*f)/(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5) - (2*d*e*g)/(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((2*b*g)/(5*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3) - (4*c*d*g)/(5*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((4*c*g*(3*b*e - 4*c*d))/(15*e^2*(b*e - 2*c*d)^5) - (8*c^2*d*g)/(15*e^2*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((4*c^4*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*c^4*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (4*b*c^4*e^2*g)/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(8*b^2*c*e^3*g - 26*b*c^2*e^3*f + 36*c^3*d*e^2*f - 32*c^3*d^2*e*g + 14*b*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (2*b*c^3*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (8*c^4*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((4*c^4*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*c^4*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (4*b*c^4*e^2*g)/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(12*c^3*d^3*g - 12*b^3*e^3*g + 28*b^2*c*e^3*f + 68*c^3*d^2*e*f - 86*b*c^2*d*e^2*f - 36*b*c^2*d^2*e*g + 36*b^2*c*d*e^2*g))/(15*e*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(8*b^2*c*e^3*g - 26*b*c^2*e^3*f + 36*c^3*d*e^2*f - 32*c^3*d^2*e*g + 14*b*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((4*c^4*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*c^4*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (4*b*c^4*e^2*g)/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(8*b^2*c*e^3*g - 26*b*c^2*e^3*f + 36*c^3*d*e^2*f - 32*c^3*d^2*e*g + 14*b*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (2*b*c^3*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (8*c^4*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(12*c^3*d^3*g - 12*b^3*e^3*g + 28*b^2*c*e^3*f + 68*c^3*d^2*e*f - 86*b*c^2*d*e^2*f - 36*b*c^2*d^2*e*g + 36*b^2*c*d*e^2*g))/(15*e*(b*e - 2*c*d)^3*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)^2*(b*e - c*d + c*e*x)^2) + ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^5*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(104*b*c^3*e^3*f - 48*b^2*c^2*e^3*g - 144*c^4*d*e^2*f + 64*c^4*d^2*e*g + 8*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^4*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^5*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((16*c^5*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(96*c^4*d^3*g + 84*b^2*c^2*e^3*f - 60*b^3*c*e^3*g + 512*c^4*d^2*e*f - 440*b*c^3*d*e^2*f - 432*b*c^3*d^2*e*g + 324*b^2*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(104*b*c^3*e^3*f - 48*b^2*c^2*e^3*g - 144*c^4*d*e^2*f + 64*c^4*d^2*e*g + 8*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((16*c^5*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*c^5*g*(e*(b*e - c*d) + c*d*e))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*b*c^5*e^2*g)/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(104*b*c^3*e^3*f - 48*b^2*c^2*e^3*g - 144*c^4*d*e^2*f + 64*c^4*d^2*e*g + 8*b*c^3*d*e^2*g))/(15*e*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^4*e^2*(5*b*g - 4*c*f))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^5*d*g*(b*e - c*d))/(15*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(96*c^4*d^3*g + 84*b^2*c^2*e^3*f - 60*b^3*c*e^3*g + 512*c^4*d^2*e*f - 440*b*c^3*d*e^2*f - 432*b*c^3*d^2*e*g + 324*b^2*c^2*d*e^2*g))/(15*e*(b*e - 2*c*d)^5*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2229,1,11539,283,10.349410,"\text{Not used}","int((f + g*x)/((d + e*x)^2*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)),x)","\frac{\frac{-222\,g\,b^4\,c^2\,e^4+1248\,g\,b^3\,c^3\,d\,e^3+558\,f\,b^3\,c^3\,e^4-1984\,g\,b^2\,c^4\,d^2\,e^2-3392\,f\,b^2\,c^4\,d\,e^3+384\,g\,b\,c^5\,d^3\,e+6624\,f\,b\,c^5\,d^2\,e^2+800\,g\,c^6\,d^4-4192\,f\,c^6\,d^3\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^8}-x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{8\,c^5\,e\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,b\,c^5\,e^2\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{c}-\frac{4\,c^4\,\left(-33\,g\,b^2\,e^2+16\,g\,b\,c\,d\,e+62\,f\,b\,c\,e^2+40\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,c^5\,g\,\left(c\,d^2-b\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{c}+\frac{-30\,g\,b^3\,c^3\,e^4-128\,g\,b^2\,c^4\,d\,e^3+44\,f\,b^2\,c^4\,e^4+160\,g\,b\,c^5\,d^2\,e^2+320\,f\,b\,c^5\,d\,e^3+224\,g\,c^6\,d^3\,e-672\,f\,c^6\,d^2\,e^2}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{8\,c^5\,e\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,b\,c^5\,e^2\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{c\,e^2}\right)+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{b\,\left(\frac{8\,c^5\,e\,\left(4\,c\,d\,g-9\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,b\,c^5\,e^2\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{c}-\frac{4\,c^4\,\left(-33\,g\,b^2\,e^2+16\,g\,b\,c\,d\,e+62\,f\,b\,c\,e^2+40\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,c^5\,g\,\left(c\,d^2-b\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{c\,e^2}}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}+\frac{\left(\frac{8\,c^2\,g\,\left(3\,b\,e-4\,c\,d\right)}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{16\,c^3\,d\,g}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^4\,\left(2\,c\,d\,g-7\,b\,e\,g+6\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{e}+\frac{76\,g\,b^2\,c^3\,e^2+8\,g\,b\,c^4\,d\,e-200\,f\,b\,c^4\,e^2-176\,g\,c^5\,d^2+304\,f\,c^5\,d\,e}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{e}-\frac{2\,b\,c^2\,\left(13\,g\,b^2\,e^2+4\,g\,b\,c\,d\,e-44\,f\,b\,c\,e^2-44\,g\,c^2\,d^2+76\,f\,c^2\,d\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{4\,b\,c\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{-88\,g\,b^3\,c^2\,e^3+104\,g\,b^2\,c^3\,d\,e^2+276\,f\,b^2\,c^3\,e^3+288\,g\,b\,c^4\,d^2\,e-832\,f\,b\,c^4\,d\,e^2-352\,g\,c^5\,d^3+608\,f\,c^5\,d^2\,e}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^4\,\left(4\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8}+\frac{16\,c^5\,d\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{e}-\frac{-148\,g\,b^2\,c^3\,e^3+160\,g\,b\,c^4\,d\,e^2+272\,f\,b\,c^4\,e^3+128\,g\,c^5\,d^2\,e-448\,f\,c^5\,d\,e^2}{105\,e^2\,{\left(b\,e-2\,c\,d\right)}^8}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,c^2\,e^3\,\left(5\,b\,e\,g+2\,c\,d\,g-6\,c\,e\,f\right)}{7\,{\left(b\,e-2\,c\,d\right)}^3\,\left(5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3\right)}-\frac{4\,c^3\,d\,e^3\,g}{7\,{\left(b\,e-2\,c\,d\right)}^3\,\left(5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3\right)}\right)}{e}-\frac{e\,\left(8\,g\,b^2\,c\,e^3+26\,g\,b\,c^2\,d\,e^2-38\,f\,b\,c^2\,e^3-48\,g\,c^3\,d^2\,e+52\,f\,c^3\,d\,e^2\right)}{7\,{\left(b\,e-2\,c\,d\right)}^3\,\left(5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3\right)}\right)}{e}-\frac{e\,\left(-16\,g\,b^3\,e^3+48\,g\,b^2\,c\,d\,e^2+40\,f\,b^2\,c\,e^3-48\,g\,b\,c^2\,d^2\,e-122\,f\,b\,c^2\,d\,e^2+16\,g\,c^3\,d^3+96\,f\,c^3\,d^2\,e\right)}{7\,{\left(b\,e-2\,c\,d\right)}^3\,\left(5\,b^3\,e^6-30\,b^2\,c\,d\,e^5+60\,b\,c^2\,d^2\,e^4-40\,c^3\,d^3\,e^3\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{8\,c\,g\,\left(2\,b\,e-3\,c\,d\right)}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^2\,d\,g}{35\,e\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{24\,c^3\,e^2\,\left(b\,g-c\,f\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{8\,c^4\,d\,e\,g}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{26\,g\,b^2\,c^2\,e^2+32\,g\,b\,c^3\,d\,e-88\,f\,b\,c^3\,e^2-96\,g\,c^4\,d^2+128\,f\,c^4\,d\,e}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{2\,b\,c\,\left(4\,g\,b^2\,e^2+8\,g\,b\,c\,d\,e-19\,f\,b\,c\,e^2-24\,g\,c^2\,d^2+32\,f\,c^2\,d\,e\right)}{35\,\left(3\,b\,e^2-6\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2}+\frac{\left(\frac{2\,e^2\,f}{7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3}-\frac{2\,d\,e\,g}{7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{2\,b\,g}{7\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}-\frac{4\,c\,d\,g}{7\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}+\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^6\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-40\,g\,b^3\,c^3\,e^5-84\,g\,b^2\,c^4\,d\,e^4+78\,f\,b^2\,c^4\,e^5+168\,g\,b\,c^5\,d^2\,e^3+96\,f\,b\,c^5\,d\,e^4+96\,g\,c^6\,d^3\,e^2-360\,f\,c^6\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-116\,g\,b^4\,c^2\,e^5+712\,g\,b^3\,c^3\,d\,e^4+296\,f\,b^3\,c^3\,e^5-1086\,g\,b^2\,c^4\,d^2\,e^3-1932\,f\,b^2\,c^4\,d\,e^4+80\,g\,b\,c^5\,d^3\,e^2+3768\,f\,b\,c^5\,d^2\,e^3+480\,g\,c^6\,d^4\,e-2272\,f\,c^6\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{2\,c^2\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^6\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-40\,g\,b^3\,c^3\,e^5-84\,g\,b^2\,c^4\,d\,e^4+78\,f\,b^2\,c^4\,e^5+168\,g\,b\,c^5\,d^2\,e^3+96\,f\,b\,c^5\,d\,e^4+96\,g\,c^6\,d^3\,e^2-360\,f\,c^6\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-176\,g\,b^5\,c\,e^5+1312\,g\,b^4\,c^2\,d\,e^4+332\,f\,b^4\,c^2\,e^5-3712\,g\,b^3\,c^3\,d^2\,e^3-2360\,f\,b^3\,c^3\,d\,e^4+5024\,g\,b^2\,c^4\,d^3\,e^2+6114\,f\,b^2\,c^4\,d^2\,e^3-3280\,g\,b\,c^5\,d^4\,e-6896\,f\,b\,c^5\,d^3\,e^2+832\,g\,c^6\,d^5+2880\,f\,c^6\,d^4\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^6\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-40\,g\,b^3\,c^3\,e^5-84\,g\,b^2\,c^4\,d\,e^4+78\,f\,b^2\,c^4\,e^5+168\,g\,b\,c^5\,d^2\,e^3+96\,f\,b\,c^5\,d\,e^4+96\,g\,c^6\,d^3\,e^2-360\,f\,c^6\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-116\,g\,b^4\,c^2\,e^5+712\,g\,b^3\,c^3\,d\,e^4+296\,f\,b^3\,c^3\,e^5-1086\,g\,b^2\,c^4\,d^2\,e^3-1932\,f\,b^2\,c^4\,d\,e^4+80\,g\,b\,c^5\,d^3\,e^2+3768\,f\,b\,c^5\,d^2\,e^3+480\,g\,c^6\,d^4\,e-2272\,f\,c^6\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^6\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-40\,g\,b^3\,c^3\,e^5-84\,g\,b^2\,c^4\,d\,e^4+78\,f\,b^2\,c^4\,e^5+168\,g\,b\,c^5\,d^2\,e^3+96\,f\,b\,c^5\,d\,e^4+96\,g\,c^6\,d^3\,e^2-360\,f\,c^6\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-116\,g\,b^4\,c^2\,e^5+712\,g\,b^3\,c^3\,d\,e^4+296\,f\,b^3\,c^3\,e^5-1086\,g\,b^2\,c^4\,d^2\,e^3-1932\,f\,b^2\,c^4\,d\,e^4+80\,g\,b\,c^5\,d^3\,e^2+3768\,f\,b\,c^5\,d^2\,e^3+480\,g\,c^6\,d^4\,e-2272\,f\,c^6\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{2\,c^2\,\left(-82\,g\,b^2\,c^4\,e^5+32\,g\,b\,c^5\,d\,e^4+136\,f\,b\,c^5\,e^5+88\,g\,c^6\,d^2\,e^3-176\,f\,c^6\,d\,e^4\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^7\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^6\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{16\,c^7\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-40\,g\,b^3\,c^3\,e^5-84\,g\,b^2\,c^4\,d\,e^4+78\,f\,b^2\,c^4\,e^5+168\,g\,b\,c^5\,d^2\,e^3+96\,f\,b\,c^5\,d\,e^4+96\,g\,c^6\,d^3\,e^2-360\,f\,c^6\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-176\,g\,b^5\,c\,e^5+1312\,g\,b^4\,c^2\,d\,e^4+332\,f\,b^4\,c^2\,e^5-3712\,g\,b^3\,c^3\,d^2\,e^3-2360\,f\,b^3\,c^3\,d\,e^4+5024\,g\,b^2\,c^4\,d^3\,e^2+6114\,f\,b^2\,c^4\,d^2\,e^3-3280\,g\,b\,c^5\,d^4\,e-6896\,f\,b\,c^5\,d^3\,e^2+832\,g\,c^6\,d^5+2880\,f\,c^6\,d^4\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^6\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^2\,{\left(b\,e-c\,d+c\,e\,x\right)}^2}+\frac{\left(x\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-288\,g\,b^3\,c^4\,e^5+240\,g\,b^2\,c^5\,d\,e^4+408\,f\,b^2\,c^5\,e^5-96\,g\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^3\,e^2-1056\,f\,c^7\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-264\,g\,b^4\,c^3\,e^5+1952\,g\,b^3\,c^4\,d\,e^4+736\,f\,b^3\,c^4\,e^5-3480\,g\,b^2\,c^5\,d^2\,e^3-5232\,f\,b^2\,c^5\,d\,e^4+1216\,g\,b\,c^6\,d^3\,e^2+10464\,f\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^4\,e-6272\,f\,c^7\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-288\,g\,b^3\,c^4\,e^5+240\,g\,b^2\,c^5\,d\,e^4+408\,f\,b^2\,c^5\,e^5-96\,g\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^3\,e^2-1056\,f\,c^7\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-732\,g\,b^5\,c^2\,e^5+6636\,g\,b^4\,c^3\,d\,e^4+948\,f\,b^4\,c^3\,e^5-23360\,g\,b^3\,c^4\,d^2\,e^3-8320\,f\,b^3\,c^4\,d\,e^4+38688\,g\,b^2\,c^5\,d^3\,e^2+27576\,f\,b^2\,c^5\,d^2\,e^3-28928\,g\,b\,c^6\,d^4\,e-40256\,f\,b\,c^6\,d^3\,e^2+7104\,g\,c^7\,d^5+21696\,f\,c^7\,d^4\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-288\,g\,b^3\,c^4\,e^5+240\,g\,b^2\,c^5\,d\,e^4+408\,f\,b^2\,c^5\,e^5-96\,g\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^3\,e^2-1056\,f\,c^7\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-264\,g\,b^4\,c^3\,e^5+1952\,g\,b^3\,c^4\,d\,e^4+736\,f\,b^3\,c^4\,e^5-3480\,g\,b^2\,c^5\,d^2\,e^3-5232\,f\,b^2\,c^5\,d\,e^4+1216\,g\,b\,c^6\,d^3\,e^2+10464\,f\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^4\,e-6272\,f\,c^7\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^7\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-288\,g\,b^3\,c^4\,e^5+240\,g\,b^2\,c^5\,d\,e^4+408\,f\,b^2\,c^5\,e^5-96\,g\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^3\,e^2-1056\,f\,c^7\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{8\,b\,c^6\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-264\,g\,b^4\,c^3\,e^5+1952\,g\,b^3\,c^4\,d\,e^4+736\,f\,b^3\,c^4\,e^5-3480\,g\,b^2\,c^5\,d^2\,e^3-5232\,f\,b^2\,c^5\,d\,e^4+1216\,g\,b\,c^6\,d^3\,e^2+10464\,f\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^4\,e-6272\,f\,c^7\,d^3\,e^2\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^7\,e^2\,\left(-45\,g\,b^2\,e^2+32\,g\,b\,c\,d\,e+68\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-88\,f\,c^2\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^8\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,e^2\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{32\,b\,c^8\,e^4\,g}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^7\,e^3\,\left(2\,c\,d\,g-5\,b\,e\,g+3\,c\,e\,f\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{64\,c^8\,d\,e^2\,g\,\left(b\,e-c\,d\right)}{105\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-288\,g\,b^3\,c^4\,e^5+240\,g\,b^2\,c^5\,d\,e^4+408\,f\,b^2\,c^5\,e^5-96\,g\,b\,c^6\,d^2\,e^3+640\,g\,c^7\,d^3\,e^2-1056\,f\,c^7\,d^2\,e^3\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(-732\,g\,b^5\,c^2\,e^5+6636\,g\,b^4\,c^3\,d\,e^4+948\,f\,b^4\,c^3\,e^5-23360\,g\,b^3\,c^4\,d^2\,e^3-8320\,f\,b^3\,c^4\,d\,e^4+38688\,g\,b^2\,c^5\,d^3\,e^2+27576\,f\,b^2\,c^5\,d^2\,e^3-28928\,g\,b\,c^6\,d^4\,e-40256\,f\,b\,c^6\,d^3\,e^2+7104\,g\,c^7\,d^5+21696\,f\,c^7\,d^4\,e\right)}{105\,e\,{\left(b\,e-2\,c\,d\right)}^8\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"((800*c^6*d^4*g + 558*b^3*c^3*e^4*f - 222*b^4*c^2*e^4*g - 4192*c^6*d^3*e*f + 384*b*c^5*d^3*e*g + 6624*b*c^5*d^2*e^2*f - 3392*b^2*c^4*d*e^3*f + 1248*b^3*c^3*d*e^3*g - 1984*b^2*c^4*d^2*e^2*g)/(105*e^2*(b*e - 2*c*d)^8) - x*((b*((b*((8*c^5*e*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^8) + (16*b*c^5*e^2*g)/(105*(b*e - 2*c*d)^8)))/c - (4*c^4*(40*c^2*d^2*g - 33*b^2*e^2*g + 62*b*c*e^2*f - 88*c^2*d*e*f + 16*b*c*d*e*g))/(105*(b*e - 2*c*d)^8) + (16*c^5*g*(c*d^2 - b*d*e))/(105*(b*e - 2*c*d)^8)))/c + (44*b^2*c^4*e^4*f - 30*b^3*c^3*e^4*g - 672*c^6*d^2*e^2*f + 224*c^6*d^3*e*g + 320*b*c^5*d*e^3*f + 160*b*c^5*d^2*e^2*g - 128*b^2*c^4*d*e^3*g)/(105*e^2*(b*e - 2*c*d)^8) + ((c*d^2 - b*d*e)*((8*c^5*e*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^8) + (16*b*c^5*e^2*g)/(105*(b*e - 2*c*d)^8)))/(c*e^2)) + ((c*d^2 - b*d*e)*((b*((8*c^5*e*(4*c*d*g - 9*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^8) + (16*b*c^5*e^2*g)/(105*(b*e - 2*c*d)^8)))/c - (4*c^4*(40*c^2*d^2*g - 33*b^2*e^2*g + 62*b*c*e^2*f - 88*c^2*d*e*f + 16*b*c*d*e*g))/(105*(b*e - 2*c*d)^8) + (16*c^5*g*(c*d^2 - b*d*e))/(105*(b*e - 2*c*d)^8)))/(c*e^2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) + (((8*c^2*g*(3*b*e - 4*c*d))/(105*e^2*(b*e - 2*c*d)^6) - (16*c^3*d*g)/(105*e^2*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((8*c^4*(2*c*d*g - 7*b*e*g + 6*c*e*f))/(105*(b*e - 2*c*d)^8) + (16*c^5*d*g)/(105*(b*e - 2*c*d)^8)))/e + (76*b^2*c^3*e^2*g - 176*c^5*d^2*g + 304*c^5*d*e*f - 200*b*c^4*e^2*f + 8*b*c^4*d*e*g)/(105*e*(b*e - 2*c*d)^8)))/e - (2*b*c^2*(13*b^2*e^2*g - 44*c^2*d^2*g - 44*b*c*e^2*f + 76*c^2*d*e*f + 4*b*c*d*e*g))/(105*e*(b*e - 2*c*d)^8))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((4*b*c*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((276*b^2*c^3*e^3*f - 352*c^5*d^3*g - 88*b^3*c^2*e^3*g + 608*c^5*d^2*e*f - 832*b*c^4*d*e^2*f + 288*b*c^4*d^2*e*g + 104*b^2*c^3*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^8) + (d*((d*((16*c^4*(4*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8) + (16*c^5*d*g)/(105*(b*e - 2*c*d)^8)))/e - (272*b*c^4*e^3*f - 148*b^2*c^3*e^3*g - 448*c^5*d*e^2*f + 128*c^5*d^2*e*g + 160*b*c^4*d*e^2*g)/(105*e^2*(b*e - 2*c*d)^8)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((2*c^2*e^3*(5*b*e*g + 2*c*d*g - 6*c*e*f))/(7*(b*e - 2*c*d)^3*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5)) - (4*c^3*d*e^3*g)/(7*(b*e - 2*c*d)^3*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e - (e*(8*b^2*c*e^3*g - 38*b*c^2*e^3*f + 52*c^3*d*e^2*f - 48*c^3*d^2*e*g + 26*b*c^2*d*e^2*g))/(7*(b*e - 2*c*d)^3*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e - (e*(16*c^3*d^3*g - 16*b^3*e^3*g + 40*b^2*c*e^3*f + 96*c^3*d^2*e*f - 122*b*c^2*d*e^2*f - 48*b*c^2*d^2*e*g + 48*b^2*c*d*e^2*g))/(7*(b*e - 2*c*d)^3*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((8*c*g*(2*b*e - 3*c*d))/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(35*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((24*c^3*e^2*(b*g - c*f))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^6) - (8*c^4*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^6)))/e - (26*b^2*c^2*e^2*g - 96*c^4*d^2*g + 128*c^4*d*e*f - 88*b*c^3*e^2*f + 32*b*c^3*d*e*g)/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^6)))/e + (2*b*c*(4*b^2*e^2*g - 24*c^2*d^2*g - 19*b*c*e^2*f + 32*c^2*d*e*f + 8*b*c*d*e*g))/(35*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((2*e^2*f)/(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5) - (2*d*e*g)/(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((2*b*g)/(7*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3) - (4*c*d*g)/(7*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^6*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(78*b^2*c^4*e^5*f - 40*b^3*c^3*e^5*g - 360*c^6*d^2*e^3*f + 96*c^6*d^3*e^2*g + 96*b*c^5*d*e^4*f + 168*b*c^5*d^2*e^3*g - 84*b^2*c^4*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(296*b^3*c^3*e^5*f - 116*b^4*c^2*e^5*g - 2272*c^6*d^3*e^2*f + 480*c^6*d^4*e*g + 3768*b*c^5*d^2*e^3*f - 1932*b^2*c^4*d*e^4*f + 80*b*c^5*d^3*e^2*g + 712*b^3*c^3*d*e^4*g - 1086*b^2*c^4*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*((2*c^2*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^6*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(78*b^2*c^4*e^5*f - 40*b^3*c^3*e^5*g - 360*c^6*d^2*e^3*f + 96*c^6*d^3*e^2*g + 96*b*c^5*d*e^4*f + 168*b*c^5*d^2*e^3*g - 84*b^2*c^4*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(832*c^6*d^5*g + 332*b^4*c^2*e^5*f - 176*b^5*c*e^5*g + 2880*c^6*d^4*e*f - 3280*b*c^5*d^4*e*g - 6896*b*c^5*d^3*e^2*f - 2360*b^3*c^3*d*e^4*f + 1312*b^4*c^2*d*e^4*g + 6114*b^2*c^4*d^2*e^3*f + 5024*b^2*c^4*d^3*e^2*g - 3712*b^3*c^3*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^6*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(78*b^2*c^4*e^5*f - 40*b^3*c^3*e^5*g - 360*c^6*d^2*e^3*f + 96*c^6*d^3*e^2*g + 96*b*c^5*d*e^4*f + 168*b*c^5*d^2*e^3*g - 84*b^2*c^4*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(296*b^3*c^3*e^5*f - 116*b^4*c^2*e^5*g - 2272*c^6*d^3*e^2*f + 480*c^6*d^4*e*g + 3768*b*c^5*d^2*e^3*f - 1932*b^2*c^4*d*e^4*f + 80*b*c^5*d^3*e^2*g + 712*b^3*c^3*d*e^4*g - 1086*b^2*c^4*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^6*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(78*b^2*c^4*e^5*f - 40*b^3*c^3*e^5*g - 360*c^6*d^2*e^3*f + 96*c^6*d^3*e^2*g + 96*b*c^5*d*e^4*f + 168*b*c^5*d^2*e^3*g - 84*b^2*c^4*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(296*b^3*c^3*e^5*f - 116*b^4*c^2*e^5*g - 2272*c^6*d^3*e^2*f + 480*c^6*d^4*e*g + 3768*b*c^5*d^2*e^3*f - 1932*b^2*c^4*d*e^4*f + 80*b*c^5*d^3*e^2*g + 712*b^3*c^3*d*e^4*g - 1086*b^2*c^4*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*((2*c^2*(88*c^6*d^2*e^3*g - 82*b^2*c^4*e^5*g + 136*b*c^5*e^5*f - 176*c^6*d*e^4*f + 32*b*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^7*e^4*g)/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^6*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (16*c^7*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(78*b^2*c^4*e^5*f - 40*b^3*c^3*e^5*g - 360*c^6*d^2*e^3*f + 96*c^6*d^3*e^2*g + 96*b*c^5*d*e^4*f + 168*b*c^5*d^2*e^3*g - 84*b^2*c^4*d*e^4*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(832*c^6*d^5*g + 332*b^4*c^2*e^5*f - 176*b^5*c*e^5*g + 2880*c^6*d^4*e*f - 3280*b*c^5*d^4*e*g - 6896*b*c^5*d^3*e^2*f - 2360*b^3*c^3*d*e^4*f + 1312*b^4*c^2*d*e^4*g + 6114*b^2*c^4*d^2*e^3*f + 5024*b^2*c^4*d^3*e^2*g - 3712*b^3*c^3*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^6*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)^2*(b*e - c*d + c*e*x)^2) + ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(408*b^2*c^5*e^5*f - 288*b^3*c^4*e^5*g - 1056*c^7*d^2*e^3*f + 640*c^7*d^3*e^2*g - 96*b*c^6*d^2*e^3*g + 240*b^2*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(736*b^3*c^4*e^5*f - 264*b^4*c^3*e^5*g - 6272*c^7*d^3*e^2*f + 640*c^7*d^4*e*g + 10464*b*c^6*d^2*e^3*f - 5232*b^2*c^5*d*e^4*f + 1216*b*c^6*d^3*e^2*g + 1952*b^3*c^4*d*e^4*g - 3480*b^2*c^5*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*((16*c^7*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(408*b^2*c^5*e^5*f - 288*b^3*c^4*e^5*g - 1056*c^7*d^2*e^3*f + 640*c^7*d^3*e^2*g - 96*b*c^6*d^2*e^3*g + 240*b^2*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(7104*c^7*d^5*g + 948*b^4*c^3*e^5*f - 732*b^5*c^2*e^5*g + 21696*c^7*d^4*e*f - 28928*b*c^6*d^4*e*g - 40256*b*c^6*d^3*e^2*f - 8320*b^3*c^4*d*e^4*f + 6636*b^4*c^3*d*e^4*g + 27576*b^2*c^5*d^2*e^3*f + 38688*b^2*c^5*d^3*e^2*g - 23360*b^3*c^4*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(408*b^2*c^5*e^5*f - 288*b^3*c^4*e^5*g - 1056*c^7*d^2*e^3*f + 640*c^7*d^3*e^2*g - 96*b*c^6*d^2*e^3*g + 240*b^2*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(736*b^3*c^4*e^5*f - 264*b^4*c^3*e^5*g - 6272*c^7*d^3*e^2*f + 640*c^7*d^4*e*g + 10464*b*c^6*d^2*e^3*f - 5232*b^2*c^5*d*e^4*f + 1216*b*c^6*d^3*e^2*g + 1952*b^3*c^4*d*e^4*g - 3480*b^2*c^5*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((16*c^7*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(408*b^2*c^5*e^5*f - 288*b^3*c^4*e^5*g - 1056*c^7*d^2*e^3*f + 640*c^7*d^3*e^2*g - 96*b*c^6*d^2*e^3*g + 240*b^2*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (8*b*c^6*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(736*b^3*c^4*e^5*f - 264*b^4*c^3*e^5*g - 6272*c^7*d^3*e^2*f + 640*c^7*d^4*e*g + 10464*b*c^6*d^2*e^3*f - 5232*b^2*c^5*d*e^4*f + 1216*b*c^6*d^3*e^2*g + 1952*b^3*c^4*d*e^4*g - 3480*b^2*c^5*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (d*(b*e - c*d)*((16*c^7*e^2*(28*c^2*d^2*g - 45*b^2*e^2*g + 68*b*c*e^2*f - 88*c^2*d*e*f + 32*b*c*d*e*g))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^8*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*e^2*g*(e*(b*e - c*d) + c*d*e))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (32*b*c^8*e^4*g)/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^7*e^3*(2*c*d*g - 5*b*e*g + 3*c*e*f))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (64*c^8*d*e^2*g*(b*e - c*d))/(105*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(408*b^2*c^5*e^5*f - 288*b^3*c^4*e^5*g - 1056*c^7*d^2*e^3*f + 640*c^7*d^3*e^2*g - 96*b*c^6*d^2*e^3*g + 240*b^2*c^5*d*e^4*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(7104*c^7*d^5*g + 948*b^4*c^3*e^5*f - 732*b^5*c^2*e^5*g + 21696*c^7*d^4*e*f - 28928*b*c^6*d^4*e*g - 40256*b*c^6*d^3*e^2*f - 8320*b^3*c^4*d*e^4*f + 6636*b^4*c^3*d*e^4*g + 27576*b^2*c^5*d^2*e^3*f + 38688*b^2*c^5*d^3*e^2*g - 23360*b^3*c^4*d^2*e^3*g))/(105*e*(b*e - 2*c*d)^8*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2230,1,33819,358,22.913909,"\text{Not used}","int((f + g*x)/((d + e*x)^3*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)),x)","\frac{\frac{5714\,g\,b^6\,c^3\,e^6-57260\,g\,b^5\,c^4\,d\,e^5-10062\,f\,b^5\,c^4\,e^6+231104\,g\,b^4\,c^5\,d^2\,e^4+98950\,f\,b^4\,c^5\,d\,e^5-473132\,g\,b^3\,c^6\,d^3\,e^3-387748\,f\,b^3\,c^6\,d^2\,e^4+504032\,g\,b^2\,c^7\,d^4\,e^2+755040\,f\,b^2\,c^7\,d^3\,e^3-248960\,g\,b\,c^8\,d^5\,e-729600\,f\,b\,c^8\,d^4\,e^2+35968\,g\,c^9\,d^6+279680\,f\,c^9\,d^5\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}-x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}-\frac{16\,c^7\,e^2\,\left(-43\,g\,b^2\,e^2+41\,g\,b\,c\,d\,e+61\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,c^8\,e^2\,g\,\left(c\,d^2-b\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}+\frac{-912\,g\,b^3\,c^6\,e^6+1112\,g\,b^2\,c^7\,d\,e^5+1608\,f\,b^2\,c^7\,e^6+352\,g\,b\,c^8\,d^2\,e^4-2528\,f\,b\,c^8\,d\,e^5+224\,g\,c^9\,d^3\,e^3-96\,f\,c^9\,d^2\,e^4}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)\,\left(c\,d^2-b\,d\,e\right)}{c\,e^2}\right)}{c}-\frac{326\,g\,b^4\,c^5\,e^6-3972\,g\,b^3\,c^6\,d\,e^5-1372\,f\,b^3\,c^6\,e^6+7056\,g\,b^2\,c^7\,d^2\,e^4+13056\,f\,b^2\,c^7\,d\,e^5+912\,g\,b\,c^8\,d^3\,e^3-29904\,f\,b\,c^8\,d^2\,e^4-5248\,g\,c^9\,d^4\,e^2+19840\,f\,c^9\,d^3\,e^3}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{b\,\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}-\frac{16\,c^7\,e^2\,\left(-43\,g\,b^2\,e^2+41\,g\,b\,c\,d\,e+61\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,c^8\,e^2\,g\,\left(c\,d^2-b\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c\,e^2}\right)}{c}+\frac{-1246\,g\,b^5\,c^4\,e^6+11442\,g\,b^4\,c^5\,d\,e^5+1670\,f\,b^4\,c^5\,e^6-41688\,g\,b^3\,c^6\,d^2\,e^4-16104\,f\,b^3\,c^6\,d\,e^5+67624\,g\,b^2\,c^7\,d^3\,e^3+61368\,f\,b^2\,c^7\,d^2\,e^4-41728\,g\,b\,c^8\,d^4\,e^2-101760\,f\,b\,c^8\,d^3\,e^3+2432\,g\,c^9\,d^5\,e+60800\,f\,c^9\,d^4\,e^2}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{b\,\left(\frac{b\,\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}-\frac{16\,c^7\,e^2\,\left(-43\,g\,b^2\,e^2+41\,g\,b\,c\,d\,e+61\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,c^8\,e^2\,g\,\left(c\,d^2-b\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}+\frac{-912\,g\,b^3\,c^6\,e^6+1112\,g\,b^2\,c^7\,d\,e^5+1608\,f\,b^2\,c^7\,e^6+352\,g\,b\,c^8\,d^2\,e^4-2528\,f\,b\,c^8\,d\,e^5+224\,g\,c^9\,d^3\,e^3-96\,f\,c^9\,d^2\,e^4}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)\,\left(c\,d^2-b\,d\,e\right)}{c\,e^2}\right)}{c\,e^2}\right)+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}-\frac{16\,c^7\,e^2\,\left(-43\,g\,b^2\,e^2+41\,g\,b\,c\,d\,e+61\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,c^8\,e^2\,g\,\left(c\,d^2-b\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}+\frac{-912\,g\,b^3\,c^6\,e^6+1112\,g\,b^2\,c^7\,d\,e^5+1608\,f\,b^2\,c^7\,e^6+352\,g\,b\,c^8\,d^2\,e^4-2528\,f\,b\,c^8\,d\,e^5+224\,g\,c^9\,d^3\,e^3-96\,f\,c^9\,d^2\,e^4}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)\,\left(c\,d^2-b\,d\,e\right)}{c\,e^2}\right)}{c}-\frac{326\,g\,b^4\,c^5\,e^6-3972\,g\,b^3\,c^6\,d\,e^5-1372\,f\,b^3\,c^6\,e^6+7056\,g\,b^2\,c^7\,d^2\,e^4+13056\,f\,b^2\,c^7\,d\,e^5+912\,g\,b\,c^8\,d^3\,e^3-29904\,f\,b\,c^8\,d^2\,e^4-5248\,g\,c^9\,d^4\,e^2+19840\,f\,c^9\,d^3\,e^3}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{\left(c\,d^2-b\,d\,e\right)\,\left(\frac{b\,\left(\frac{32\,c^8\,e^3\,\left(4\,c\,d\,g-7\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,b\,c^8\,e^4\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c}-\frac{16\,c^7\,e^2\,\left(-43\,g\,b^2\,e^2+41\,g\,b\,c\,d\,e+61\,f\,b\,c\,e^2+20\,g\,c^2\,d^2-82\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}+\frac{32\,c^8\,e^2\,g\,\left(c\,d^2-b\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}}\right)}{c\,e^2}\right)}{c\,e^2}}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}-\frac{\left(\frac{32\,c^3\,g\,\left(4\,b\,e-7\,c\,d\right)}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}-\frac{32\,c^4\,d\,g}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^7}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(c\,d\,g-4\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}+\frac{208\,g\,b^2\,c^4\,e^2+16\,g\,b\,c^5\,d\,e-592\,f\,b\,c^5\,e^2-512\,g\,c^6\,d^2+928\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}-\frac{4\,b\,c^3\,\left(19\,g\,b^2\,e^2+4\,g\,b\,c\,d\,e-66\,f\,b\,c\,e^2-64\,g\,c^2\,d^2+116\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(12\,c\,d\,g-13\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}-\frac{-488\,g\,b^2\,c^4\,e^2+624\,g\,b\,c^5\,d\,e+912\,f\,b\,c^5\,e^2+352\,g\,c^6\,d^2-1568\,f\,c^6\,d\,e}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}+\frac{4\,b\,c^3\,\left(-49\,g\,b^2\,e^2+66\,g\,b\,c\,d\,e+106\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-196\,f\,c^2\,d\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{4\,b\,c\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}-\frac{8\,c^2\,d\,g}{63\,e\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{8\,c^3\,e\,\left(3\,b\,e\,g+c\,d\,g-4\,c\,e\,f\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}-\frac{8\,c^4\,d\,e\,g}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}-\frac{26\,g\,b^2\,c^2\,e^2+60\,g\,b\,c^3\,d\,e-116\,f\,b\,c^3\,e^2-136\,g\,c^4\,d^2+168\,f\,c^4\,d\,e}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)}{e}+\frac{2\,b\,c\,\left(4\,g\,b^2\,e^2+14\,g\,b\,c\,d\,e-25\,f\,b\,c\,e^2-34\,g\,c^2\,d^2+42\,f\,c^2\,d\,e\right)}{63\,\left(5\,b\,e^2-10\,c\,d\,e\right)\,{\left(b\,e-2\,c\,d\right)}^6}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^3}-\frac{\left(\frac{-252\,g\,b^3\,c^3\,e^3+312\,g\,b^2\,c^4\,d\,e^2+824\,f\,b^2\,c^4\,e^3+816\,g\,b\,c^5\,d^2\,e-2512\,f\,b\,c^5\,d\,e^2-1024\,g\,c^6\,d^3+1856\,f\,c^6\,d^2\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{d\,\left(\frac{d\,\left(\frac{16\,c^5\,\left(8\,c\,d\,g-11\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}-\frac{-376\,g\,b^2\,c^4\,e^3+368\,g\,b\,c^5\,d\,e^2+784\,f\,b\,c^5\,e^3+416\,g\,c^6\,d^2\,e-1312\,f\,c^6\,d\,e^2}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{-536\,g\,b^3\,c^3\,e^3+1736\,g\,b^2\,c^4\,d\,e^2+704\,f\,b^2\,c^4\,e^3-1872\,g\,b\,c^5\,d^2\,e-1712\,f\,b\,c^5\,d\,e^2+928\,g\,c^6\,d^3+736\,f\,c^6\,d^2\,e}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{d\,\left(\frac{d\,\left(\frac{32\,c^5\,\left(9\,c\,d\,g-8\,b\,e\,g+4\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9}+\frac{32\,c^6\,d\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}+\frac{776\,g\,b^2\,c^4\,e^3-1488\,g\,b\,c^5\,d\,e^2-1104\,f\,b\,c^5\,e^3+224\,g\,c^6\,d^2\,e+1952\,f\,c^6\,d\,e^2}{945\,e^2\,{\left(b\,e-2\,c\,d\right)}^9}\right)}{e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{d+e\,x}+\frac{\left(\frac{d\,\left(\frac{d\,\left(\frac{2\,c^2\,e^3\,\left(5\,b\,e\,g+4\,c\,d\,g-8\,c\,e\,f\right)}{9\,{\left(b\,e-2\,c\,d\right)}^3\,\left(7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3\right)}-\frac{4\,c^3\,d\,e^3\,g}{9\,{\left(b\,e-2\,c\,d\right)}^3\,\left(7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3\right)}\right)}{e}-\frac{e\,\left(8\,g\,b^2\,c\,e^3+38\,g\,b\,c^2\,d\,e^2-50\,f\,b\,c^2\,e^3-64\,g\,c^3\,d^2\,e+68\,f\,c^3\,d\,e^2\right)}{9\,{\left(b\,e-2\,c\,d\right)}^3\,\left(7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3\right)}\right)}{e}-\frac{e\,\left(-20\,g\,b^3\,e^3+60\,g\,b^2\,c\,d\,e^2+52\,f\,b^2\,c\,e^3-60\,g\,b\,c^2\,d^2\,e-158\,f\,b\,c^2\,d\,e^2+20\,g\,c^3\,d^3+124\,f\,c^3\,d^2\,e\right)}{9\,{\left(b\,e-2\,c\,d\right)}^3\,\left(7\,b^3\,e^6-42\,b^2\,c\,d\,e^5+84\,b\,c^2\,d^2\,e^4-56\,c^3\,d^3\,e^3\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^4}-\frac{\left(\frac{4\,c\,g\,\lef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b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(3248\,g\,b^6\,c^3\,e^7-32356\,g\,b^5\,c^4\,d\,e^6-5692\,f\,b^5\,c^4\,e^7+129352\,g\,b^4\,c^5\,d^2\,e^5+56224\,f\,b^4\,c^5\,d\,e^6-259042\,g\,b^3\,c^6\,d^3\,e^4-220918\,f\,b^3\,c^6\,d^2\,e^5+264872\,g\,b^2\,c^7\,d^4\,e^3+427364\,f\,b^2\,c^7\,d^3\,e^4-122064\,g\,b\,c^8\,d^5\,e^2-404848\,f\,b\,c^8\,d^4\,e^3+15360\,g\,c^9\,d^6\,e+149760\,f\,c^9\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(-464\,g\,b^5\,c^4\,e^7+4316\,g\,b^4\,c^5\,d\,e^6+348\,f\,b^4\,c^5\,e^7-18386\,g\,b^3\,c^6\,d^2\,e^5-3978\,f\,b^3\,c^6\,d\,e^6+33700\,g\,b^2\,c^7\,d^3\,e^4+21708\,f\,b^2\,c^7\,d^2\,e^5-22160\,g\,b\,c^8\,d^4\,e^3-45032\,f\,b\,c^8\,d^3\,e^4+1104\,g\,c^9\,d^5\,e^2+30448\,f\,c^9\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{2\,c^2\,\left(-464\,g\,b^5\,c^4\,e^7+4316\,g\,b^4\,c^5\,d\,e^6+348\,f\,b^4\,c^5\,e^7-18386\,g\,b^3\,c^6\,d^2\,e^5-3978\,f\,b^3\,c^6\,d\,e^6+33700\,g\,b^2\,c^7\,d^3\,e^4+21708\,f\,b^2\,c^7\,d^2\,e^5-22160\,g\,b\,c^8\,d^4\,e^3-45032\,f\,b\,c^8\,d^3\,e^4+1104\,g\,c^9\,d^5\,e^2+30448\,f\,c^9\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-3096\,g\,b^7\,c^2\,e^7+35096\,g\,b^6\,c^3\,d\,e^6+5000\,f\,b^6\,c^3\,e^7-167244\,g\,b^5\,c^4\,d^2\,e^5-54308\,f\,b^5\,c^4\,d\,e^6+433220\,g\,b^4\,c^5\,d^3\,e^4+243428\,f\,b^4\,c^5\,d^2\,e^5-657804\,g\,b^3\,c^6\,d^4\,e^3-575502\,f\,b^3\,c^6\,d^3\,e^4+585108\,g\,b^2\,c^7\,d^5\,e^2+756412\,f\,b^2\,c^7\,d^4\,e^3-282368\,g\,b\,c^8\,d^6\,e-524160\,f\,b\,c^8\,d^5\,e^2+57088\,g\,c^9\,d^7+149760\,f\,c^9\,d^6\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{b\,c\,\left(3248\,g\,b^6\,c^3\,e^7-32356\,g\,b^5\,c^4\,d\,e^6-5692\,f\,b^5\,c^4\,e^7+129352\,g\,b^4\,c^5\,d^2\,e^5+56224\,f\,b^4\,c^5\,d\,e^6-259042\,g\,b^3\,c^6\,d^3\,e^4-220918\,f\,b^3\,c^6\,d^2\,e^5+264872\,g\,b^2\,c^7\,d^4\,e^3+427364\,f\,b^2\,c^7\,d^3\,e^4-122064\,g\,b\,c^8\,d^5\,e^2-404848\,f\,b\,c^8\,d^4\,e^3+15360\,g\,c^9\,d^6\,e+149760\,f\,c^9\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-464\,g\,b^5\,c^4\,e^7+4316\,g\,b^4\,c^5\,d\,e^6+348\,f\,b^4\,c^5\,e^7-18386\,g\,b^3\,c^6\,d^2\,e^5-3978\,f\,b^3\,c^6\,d\,e^6+33700\,g\,b^2\,c^7\,d^3\,e^4+21708\,f\,b^2\,c^7\,d^2\,e^5-22160\,g\,b\,c^8\,d^4\,e^3-45032\,f\,b\,c^8\,d^3\,e^4+1104\,g\,c^9\,d^5\,e^2+30448\,f\,c^9\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(3248\,g\,b^6\,c^3\,e^7-32356\,g\,b^5\,c^4\,d\,e^6-5692\,f\,b^5\,c^4\,e^7+129352\,g\,b^4\,c^5\,d^2\,e^5+56224\,f\,b^4\,c^5\,d\,e^6-259042\,g\,b^3\,c^6\,d^3\,e^4-220918\,f\,b^3\,c^6\,d^2\,e^5+264872\,g\,b^2\,c^7\,d^4\,e^3+427364\,f\,b^2\,c^7\,d^3\,e^4-122064\,g\,b\,c^8\,d^5\,e^2-404848\,f\,b\,c^8\,d^4\,e^3+15360\,g\,c^9\,d^6\,e+149760\,f\,c^9\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{4\,b\,c^8\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{8\,c^9\,e^4\,\left(-99\,g\,b^2\,e^2+86\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+44\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{16\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^{10}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{8\,b\,c^9\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{32\,c^{10}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(8\,g\,b^4\,c^5\,e^7-2074\,g\,b^3\,c^6\,d\,e^6-398\,f\,b^3\,c^6\,e^7+4164\,g\,b^2\,c^7\,d^2\,e^5+6516\,f\,b^2\,c^7\,d\,e^6+376\,g\,b\,c^8\,d^3\,e^4-16088\,f\,b\,c^8\,d^2\,e^5-2784\,g\,c^9\,d^4\,e^3+10576\,f\,c^9\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-602\,g\,b^3\,c^6\,e^7+600\,g\,b^2\,c^7\,d\,e^6+1032\,f\,b^2\,c^7\,e^7+424\,g\,b\,c^8\,d^2\,e^5-1528\,f\,b\,c^8\,d\,e^6+48\,g\,c^9\,d^3\,e^4-112\,f\,c^9\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^9\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}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b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-3096\,g\,b^5\,c^5\,e^7+23856\,g\,b^4\,c^6\,d\,e^6+3696\,f\,b^4\,c^6\,e^7-84648\,g\,b^3\,c^7\,d^2\,e^5-28872\,f\,b^3\,c^7\,d\,e^6+140240\,g\,b^2\,c^8\,d^3\,e^4+110832\,f\,b^2\,c^8\,d^2\,e^5-88896\,g\,b\,c^9\,d^4\,e^3-194336\,f\,b\,c^9\,d^3\,e^4+6208\,g\,c^{10}\,d^5\,e^2+121024\,f\,c^{10}\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(11720\,g\,b^6\,c^4\,e^7-115576\,g\,b^5\,c^5\,d\,e^6-18872\,f\,b^5\,c^5\,e^7+463360\,g\,b^4\,c^6\,d^2\,e^5+181328\,f\,b^4\,c^6\,d\,e^6-947048\,g\,b^3\,c^7\,d^3\,e^4-696440\,f\,b^3\,c^7\,d^2\,e^5+1020704\,g\,b^2\,c^8\,d^4\,e^3+1318992\,f\,b^2\,c^8\,d^3\,e^4-536640\,g\,b\,c^9\,d^5\,e^2-1221824\,f\,b\,c^9\,d^4\,e^3+103424\,g\,c^{10}\,d^6\,e+440320\,f\,c^{10}\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(-3096\,g\,b^5\,c^5\,e^7+23856\,g\,b^4\,c^6\,d\,e^6+3696\,f\,b^4\,c^6\,e^7-84648\,g\,b^3\,c^7\,d^2\,e^5-28872\,f\,b^3\,c^7\,d\,e^6+140240\,g\,b^2\,c^8\,d^3\,e^4+110832\,f\,b^2\,c^8\,d^2\,e^5-88896\,g\,b\,c^9\,d^4\,e^3-194336\,f\,b\,c^9\,d^3\,e^4+6208\,g\,c^{10}\,d^5\,e^2+121024\,f\,c^{10}\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-6844\,g\,b^7\,c^3\,e^7+99044\,g\,b^6\,c^4\,d\,e^6+8492\,f\,b^6\,c^4\,e^7-591664\,g\,b^5\,c^5\,d^2\,e^5-120776\,f\,b^5\,c^5\,d\,e^6+1895152\,g\,b^4\,c^6\,d^3\,e^4+694544\,f\,b^4\,c^6\,d^2\,e^5-3506000\,g\,b^3\,c^7\,d^4\,e^3-2084264\,f\,b^3\,c^7\,d^3\,e^4+3720112\,g\,b^2\,c^8\,d^5\,e^2+3456144\,f\,b^2\,c^8\,d^4\,e^3-2067968\,g\,b\,c^9\,d^6\,e-3009280\,f\,b\,c^9\,d^5\,e^2+451840\,g\,c^{10}\,d^7+1076480\,f\,c^{10}\,d^6\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(11720\,g\,b^6\,c^4\,e^7-115576\,g\,b^5\,c^5\,d\,e^6-18872\,f\,b^5\,c^5\,e^7+463360\,g\,b^4\,c^6\,d^2\,e^5+181328\,f\,b^4\,c^6\,d\,e^6-947048\,g\,b^3\,c^7\,d^3\,e^4-696440\,f\,b^3\,c^7\,d^2\,e^5+1020704\,g\,b^2\,c^8\,d^4\,e^3+1318992\,f\,b^2\,c^8\,d^3\,e^4-536640\,g\,b\,c^9\,d^5\,e^2-1221824\,f\,b\,c^9\,d^4\,e^3+103424\,g\,c^{10}\,d^6\,e+440320\,f\,c^{10}\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{2\,c^2\,\left(-3096\,g\,b^5\,c^5\,e^7+23856\,g\,b^4\,c^6\,d\,e^6+3696\,f\,b^4\,c^6\,e^7-84648\,g\,b^3\,c^7\,d^2\,e^5-28872\,f\,b^3\,c^7\,d\,e^6+140240\,g\,b^2\,c^8\,d^3\,e^4+110832\,f\,b^2\,c^8\,d^2\,e^5-88896\,g\,b\,c^9\,d^4\,e^3-194336\,f\,b\,c^9\,d^3\,e^4+6208\,g\,c^{10}\,d^5\,e^2+121024\,f\,c^{10}\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(11720\,g\,b^6\,c^4\,e^7-115576\,g\,b^5\,c^5\,d\,e^6-18872\,f\,b^5\,c^5\,e^7+463360\,g\,b^4\,c^6\,d^2\,e^5+181328\,f\,b^4\,c^6\,d\,e^6-947048\,g\,b^3\,c^7\,d^3\,e^4-696440\,f\,b^3\,c^7\,d^2\,e^5+1020704\,g\,b^2\,c^8\,d^4\,e^3+1318992\,f\,b^2\,c^8\,d^3\,e^4-536640\,g\,b\,c^9\,d^5\,e^2-1221824\,f\,b\,c^9\,d^4\,e^3+103424\,g\,c^{10}\,d^6\,e+440320\,f\,c^{10}\,d^5\,e^2\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{2\,c^2\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{16\,b\,c^9\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{d\,\left(b\,e-c\,d\right)\,\left(\frac{32\,c^{10}\,e^4\,\left(-103\,g\,b^2\,e^2+102\,g\,b\,c\,d\,e+130\,f\,b\,c\,e^2+28\,g\,c^2\,d^2-164\,f\,c^2\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)\,\left(\frac{64\,c^{11}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,e^4\,g\,\left(e\,\left(b\,e-c\,d\right)+c\,d\,e\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}-\frac{64\,b\,c^{11}\,e^6\,g}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{32\,b\,c^{10}\,e^5\,\left(8\,c\,d\,g-15\,b\,e\,g+8\,c\,e\,f\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{128\,c^{11}\,d\,e^4\,g\,\left(b\,e-c\,d\right)}{945\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{2\,c^2\,\left(-1136\,g\,b^4\,c^6\,e^7-2440\,g\,b^3\,c^7\,d\,e^6+232\,f\,b^3\,c^7\,e^7+7888\,g\,b^2\,c^8\,d^2\,e^5+16144\,f\,b^2\,c^8\,d\,e^6+3680\,g\,b\,c^9\,d^3\,e^4-46560\,f\,b\,c^9\,d^2\,e^5-8576\,g\,c^{10}\,d^4\,e^3+31808\,f\,c^{10}\,d^3\,e^4\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}+\frac{b\,c\,\left(-2824\,g\,b^3\,c^7\,e^7+4320\,g\,b^2\,c^8\,d\,e^6+4384\,f\,b^2\,c^8\,e^7-992\,g\,b\,c^9\,d^2\,e^5-7136\,f\,b\,c^9\,d\,e^6+1216\,g\,c^{10}\,d^3\,e^4+576\,f\,c^{10}\,d^2\,e^5\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}-\frac{b\,c\,\left(-3096\,g\,b^5\,c^5\,e^7+23856\,g\,b^4\,c^6\,d\,e^6+3696\,f\,b^4\,c^6\,e^7-84648\,g\,b^3\,c^7\,d^2\,e^5-28872\,f\,b^3\,c^7\,d\,e^6+140240\,g\,b^2\,c^8\,d^3\,e^4+110832\,f\,b^2\,c^8\,d^2\,e^5-88896\,g\,b\,c^9\,d^4\,e^3-194336\,f\,b\,c^9\,d^3\,e^4+6208\,g\,c^{10}\,d^5\,e^2+121024\,f\,c^{10}\,d^4\,e^3\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)}{c\,e^2}+\frac{b\,c\,\left(-6844\,g\,b^7\,c^3\,e^7+99044\,g\,b^6\,c^4\,d\,e^6+8492\,f\,b^6\,c^4\,e^7-591664\,g\,b^5\,c^5\,d^2\,e^5-120776\,f\,b^5\,c^5\,d\,e^6+1895152\,g\,b^4\,c^6\,d^3\,e^4+694544\,f\,b^4\,c^6\,d^2\,e^5-3506000\,g\,b^3\,c^7\,d^4\,e^3-2084264\,f\,b^3\,c^7\,d^3\,e^4+3720112\,g\,b^2\,c^8\,d^5\,e^2+3456144\,f\,b^2\,c^8\,d^4\,e^3-2067968\,g\,b\,c^9\,d^6\,e-3009280\,f\,b\,c^9\,d^5\,e^2+451840\,g\,c^{10}\,d^7+1076480\,f\,c^{10}\,d^6\,e\right)}{945\,e\,{\left(b\,e-2\,c\,d\right)}^{11}\,\left(b^2\,c\,e^2-4\,b\,c^2\,d\,e+4\,c^3\,d^2\right)}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\left(d+e\,x\right)\,\left(b\,e-c\,d+c\,e\,x\right)}","Not used",1,"((35968*c^9*d^6*g - 10062*b^5*c^4*e^6*f + 5714*b^6*c^3*e^6*g + 279680*c^9*d^5*e*f - 248960*b*c^8*d^5*e*g - 729600*b*c^8*d^4*e^2*f + 98950*b^4*c^5*d*e^5*f - 57260*b^5*c^4*d*e^5*g + 755040*b^2*c^7*d^3*e^3*f - 387748*b^3*c^6*d^2*e^4*f + 504032*b^2*c^7*d^4*e^2*g - 473132*b^3*c^6*d^3*e^3*g + 231104*b^4*c^5*d^2*e^4*g)/(945*e^2*(b*e - 2*c*d)^11) - x*((b*((b*((b*((b*((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11)))/c - (16*c^7*e^2*(20*c^2*d^2*g - 43*b^2*e^2*g + 61*b*c*e^2*f - 82*c^2*d*e*f + 41*b*c*d*e*g))/(945*(b*e - 2*c*d)^11) + (32*c^8*e^2*g*(c*d^2 - b*d*e))/(945*(b*e - 2*c*d)^11)))/c + (1608*b^2*c^7*e^6*f - 912*b^3*c^6*e^6*g - 96*c^9*d^2*e^4*f + 224*c^9*d^3*e^3*g - 2528*b*c^8*d*e^5*f + 352*b*c^8*d^2*e^4*g + 1112*b^2*c^7*d*e^5*g)/(945*e^2*(b*e - 2*c*d)^11) + (((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11))*(c*d^2 - b*d*e))/(c*e^2)))/c - (326*b^4*c^5*e^6*g - 1372*b^3*c^6*e^6*f + 19840*c^9*d^3*e^3*f - 5248*c^9*d^4*e^2*g - 29904*b*c^8*d^2*e^4*f + 13056*b^2*c^7*d*e^5*f + 912*b*c^8*d^3*e^3*g - 3972*b^3*c^6*d*e^5*g + 7056*b^2*c^7*d^2*e^4*g)/(945*e^2*(b*e - 2*c*d)^11) + ((c*d^2 - b*d*e)*((b*((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11)))/c - (16*c^7*e^2*(20*c^2*d^2*g - 43*b^2*e^2*g + 61*b*c*e^2*f - 82*c^2*d*e*f + 41*b*c*d*e*g))/(945*(b*e - 2*c*d)^11) + (32*c^8*e^2*g*(c*d^2 - b*d*e))/(945*(b*e - 2*c*d)^11)))/(c*e^2)))/c + (1670*b^4*c^5*e^6*f - 1246*b^5*c^4*e^6*g + 60800*c^9*d^4*e^2*f + 2432*c^9*d^5*e*g - 101760*b*c^8*d^3*e^3*f - 16104*b^3*c^6*d*e^5*f - 41728*b*c^8*d^4*e^2*g + 11442*b^4*c^5*d*e^5*g + 61368*b^2*c^7*d^2*e^4*f + 67624*b^2*c^7*d^3*e^3*g - 41688*b^3*c^6*d^2*e^4*g)/(945*e^2*(b*e - 2*c*d)^11) + ((c*d^2 - b*d*e)*((b*((b*((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11)))/c - (16*c^7*e^2*(20*c^2*d^2*g - 43*b^2*e^2*g + 61*b*c*e^2*f - 82*c^2*d*e*f + 41*b*c*d*e*g))/(945*(b*e - 2*c*d)^11) + (32*c^8*e^2*g*(c*d^2 - b*d*e))/(945*(b*e - 2*c*d)^11)))/c + (1608*b^2*c^7*e^6*f - 912*b^3*c^6*e^6*g - 96*c^9*d^2*e^4*f + 224*c^9*d^3*e^3*g - 2528*b*c^8*d*e^5*f + 352*b*c^8*d^2*e^4*g + 1112*b^2*c^7*d*e^5*g)/(945*e^2*(b*e - 2*c*d)^11) + (((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11))*(c*d^2 - b*d*e))/(c*e^2)))/(c*e^2)) + ((c*d^2 - b*d*e)*((b*((b*((b*((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11)))/c - (16*c^7*e^2*(20*c^2*d^2*g - 43*b^2*e^2*g + 61*b*c*e^2*f - 82*c^2*d*e*f + 41*b*c*d*e*g))/(945*(b*e - 2*c*d)^11) + (32*c^8*e^2*g*(c*d^2 - b*d*e))/(945*(b*e - 2*c*d)^11)))/c + (1608*b^2*c^7*e^6*f - 912*b^3*c^6*e^6*g - 96*c^9*d^2*e^4*f + 224*c^9*d^3*e^3*g - 2528*b*c^8*d*e^5*f + 352*b*c^8*d^2*e^4*g + 1112*b^2*c^7*d*e^5*g)/(945*e^2*(b*e - 2*c*d)^11) + (((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11))*(c*d^2 - b*d*e))/(c*e^2)))/c - (326*b^4*c^5*e^6*g - 1372*b^3*c^6*e^6*f + 19840*c^9*d^3*e^3*f - 5248*c^9*d^4*e^2*g - 29904*b*c^8*d^2*e^4*f + 13056*b^2*c^7*d*e^5*f + 912*b*c^8*d^3*e^3*g - 3972*b^3*c^6*d*e^5*g + 7056*b^2*c^7*d^2*e^4*g)/(945*e^2*(b*e - 2*c*d)^11) + ((c*d^2 - b*d*e)*((b*((32*c^8*e^3*(4*c*d*g - 7*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*b*c^8*e^4*g)/(945*(b*e - 2*c*d)^11)))/c - (16*c^7*e^2*(20*c^2*d^2*g - 43*b^2*e^2*g + 61*b*c*e^2*f - 82*c^2*d*e*f + 41*b*c*d*e*g))/(945*(b*e - 2*c*d)^11) + (32*c^8*e^2*g*(c*d^2 - b*d*e))/(945*(b*e - 2*c*d)^11)))/(c*e^2)))/(c*e^2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2) - (((32*c^3*g*(4*b*e - 7*c*d))/(945*e^2*(b*e - 2*c*d)^7) - (32*c^4*d*g)/(945*e^2*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((32*c^5*(c*d*g - 4*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^9) + (32*c^6*d*g)/(945*(b*e - 2*c*d)^9)))/e + (208*b^2*c^4*e^2*g - 512*c^6*d^2*g + 928*c^6*d*e*f - 592*b*c^5*e^2*f + 16*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^9)))/e - (4*b*c^3*(19*b^2*e^2*g - 64*c^2*d^2*g - 66*b*c*e^2*f + 116*c^2*d*e*f + 4*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^9))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((d*((d*((16*c^5*(12*c*d*g - 13*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9) + (32*c^6*d*g)/(945*(b*e - 2*c*d)^9)))/e - (352*c^6*d^2*g - 488*b^2*c^4*e^2*g - 1568*c^6*d*e*f + 912*b*c^5*e^2*f + 624*b*c^5*d*e*g)/(945*e*(b*e - 2*c*d)^9)))/e + (4*b*c^3*(44*c^2*d^2*g - 49*b^2*e^2*g + 106*b*c*e^2*f - 196*c^2*d*e*f + 66*b*c*d*e*g))/(945*e*(b*e - 2*c*d)^9))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((4*b*c*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((d*((d*((8*c^3*e*(3*b*e*g + c*d*g - 4*c*e*f))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^6) - (8*c^4*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^6)))/e - (26*b^2*c^2*e^2*g - 136*c^4*d^2*g + 168*c^4*d*e*f - 116*b*c^3*e^2*f + 60*b*c^3*d*e*g)/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^6)))/e + (2*b*c*(4*b^2*e^2*g - 34*c^2*d^2*g - 25*b*c*e^2*f + 42*c^2*d*e*f + 14*b*c*d*e*g))/(63*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^6))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 - (((824*b^2*c^4*e^3*f - 1024*c^6*d^3*g - 252*b^3*c^3*e^3*g + 1856*c^6*d^2*e*f - 2512*b*c^5*d*e^2*f + 816*b*c^5*d^2*e*g + 312*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^9) + (d*((d*((16*c^5*(8*c*d*g - 11*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9) + (32*c^6*d*g)/(945*(b*e - 2*c*d)^9)))/e - (784*b*c^5*e^3*f - 376*b^2*c^4*e^3*g - 1312*c^6*d*e^2*f + 416*c^6*d^2*e*g + 368*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^9)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((928*c^6*d^3*g + 704*b^2*c^4*e^3*f - 536*b^3*c^3*e^3*g + 736*c^6*d^2*e*f - 1712*b*c^5*d*e^2*f - 1872*b*c^5*d^2*e*g + 1736*b^2*c^4*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^9) + (d*((d*((32*c^5*(9*c*d*g - 8*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^9) + (32*c^6*d*g)/(945*(b*e - 2*c*d)^9)))/e + (776*b^2*c^4*e^3*g - 1104*b*c^5*e^3*f + 1952*c^6*d*e^2*f + 224*c^6*d^2*e*g - 1488*b*c^5*d*e^2*g)/(945*e^2*(b*e - 2*c*d)^9)))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((2*c^2*e^3*(5*b*e*g + 4*c*d*g - 8*c*e*f))/(9*(b*e - 2*c*d)^3*(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5)) - (4*c^3*d*e^3*g)/(9*(b*e - 2*c*d)^3*(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5))))/e - (e*(8*b^2*c*e^3*g - 50*b*c^2*e^3*f + 68*c^3*d*e^2*f - 64*c^3*d^2*e*g + 38*b*c^2*d*e^2*g))/(9*(b*e - 2*c*d)^3*(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5))))/e - (e*(20*c^3*d^3*g - 20*b^3*e^3*g + 52*b^2*c*e^3*f + 124*c^3*d^2*e*f - 158*b*c^2*d*e^2*f - 60*b*c^2*d^2*e*g + 60*b^2*c*d*e^2*g))/(9*(b*e - 2*c*d)^3*(7*b^3*e^6 - 56*c^3*d^3*e^3 + 84*b*c^2*d^2*e^4 - 42*b^2*c*d*e^5)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((4*c*g*(5*b*e - 8*c*d))/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4) - (8*c^2*d*g)/(63*e*(5*b*e^2 - 10*c*d*e)*(b*e - 2*c*d)^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((d*((d*((16*c^4*e*(5*c*d*g - 6*b*e*g + 4*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7) + (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7)))/e - (424*b*c^4*e^3*f - 196*b^2*c^3*e^3*g - 720*c^5*d*e^2*f + 272*c^5*d^2*e*g + 168*b*c^4*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7)))/e + (496*b^2*c^3*e^3*f - 816*c^5*d^3*g - 124*b^3*c^2*e^3*g + 1200*c^5*d^2*e*f - 1560*b*c^4*d*e^2*f + 760*b*c^4*d^2*e*g + 52*b^2*c^3*d*e^2*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((d*((8*c^5*e^5*(c*d*g - 5*b*e*g + 4*c*e*f))/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5)) + (8*c^6*d*e^5*g)/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e + (e*(82*b^2*c^4*e^5*g - 144*c^6*d^2*e^3*g - 180*b*c^5*e^5*f + 232*c^6*d*e^4*f + 12*b*c^5*d*e^4*g))/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e + (e*(2*b^2*c^4*e^5*f + 8*b^3*c^3*e^5*g - 880*c^6*d^2*e^3*f + 232*c^6*d^3*e^2*g + 532*b*c^5*d*e^4*f + 308*b*c^5*d^2*e^3*g - 296*b^2*c^4*d*e^4*g))/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e + (e*(660*b^3*c^3*e^5*f - 268*b^4*c^2*e^5*g - 4344*c^6*d^3*e^2*f + 888*c^6*d^4*e*g + 7396*b*c^5*d^2*e^3*f - 3964*b^2*c^4*d*e^4*f + 164*b*c^5*d^3*e^2*g + 1468*b^3*c^3*d*e^4*g - 2126*b^2*c^4*d^2*e^3*g))/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5))))/e - (e*(1504*c^6*d^5*g + 640*b^4*c^2*e^5*f - 336*b^5*c*e^5*g + 5280*c^6*d^4*e*f - 5956*b*c^5*d^4*e*g - 12732*b*c^5*d^3*e^2*f - 4460*b^3*c^3*d*e^4*f + 2452*b^4*c^2*d*e^4*g + 11398*b^2*c^4*d^2*e^3*f + 9180*b^2*c^4*d^3*e^2*g - 6844*b^3*c^3*d^2*e^3*g))/(63*(b*e - 2*c*d)^6*(5*b^3*e^6 - 40*c^3*d^3*e^3 + 60*b*c^2*d^2*e^4 - 30*b^2*c*d*e^5)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^3 + (((2*e^2*f)/(9*b^3*e^6 - 72*c^3*d^3*e^3 + 108*b*c^2*d^2*e^4 - 54*b^2*c*d*e^5) - (2*d*e*g)/(9*b^3*e^6 - 72*c^3*d^3*e^3 + 108*b*c^2*d^2*e^4 - 54*b^2*c*d*e^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^5 - (((3952*b^4*c^4*e^5*f - 7936*c^8*d^5*g - 1640*b^5*c^3*e^5*g + 42240*c^8*d^4*e*f + 704*b*c^7*d^4*e*g - 96960*b*c^7*d^3*e^2*f - 29716*b^3*c^5*d*e^4*f + 11624*b^4*c^4*d*e^4*g + 81512*b^2*c^6*d^2*e^3*f + 24984*b^2*c^6*d^3*e^2*g - 28344*b^3*c^5*d^2*e^3*g)/(945*e^2*(b*e - 2*c*d)^11) - (d*((1900*b^3*c^5*e^5*f - 824*b^4*c^4*e^5*g - 24960*c^8*d^3*e^2*f + 3968*c^8*d^4*e*g + 35168*b*c^7*d^2*e^3*f - 15272*b^2*c^6*d*e^4*f + 5792*b*c^7*d^3*e^2*g + 6588*b^3*c^5*d*e^4*g - 13600*b^2*c^6*d^2*e^3*g)/(945*e^2*(b*e - 2*c*d)^11) + (d*((d*((d*((16*c^7*e^2*(12*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*c^8*d*e^2*g)/(945*(b*e - 2*c*d)^11)))/e - (8*c^6*e*(16*c^2*d^2*g - 95*b^2*e^2*g + 130*b*c*e^2*f - 196*c^2*d*e*f + 130*b*c*d*e*g))/(945*(b*e - 2*c*d)^11)))/e + (1936*b^2*c^6*e^5*f - 948*b^3*c^5*e^5*g + 2272*c^8*d^2*e^3*f - 1248*c^8*d^3*e^2*g - 4624*b*c^7*d*e^4*f + 928*b*c^7*d^2*e^3*g + 1472*b^2*c^6*d*e^4*g)/(945*e^2*(b*e - 2*c*d)^11)))/e))/e)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) - (((2*b*g)/(9*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3) - (4*c*d*g)/(9*e*(7*b*e^2 - 14*c*d*e)*(b*e - 2*c*d)^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^4 - (((16*c^3*d*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) - (16*c^2*g*(2*b*e - 3*c*d))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((16*c^3*d*g)/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5) + (16*c^2*g*(2*b*e - 5*c*d))/(315*e*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^5))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 + (((d*((d*((8*c^4*e^2*(7*b*g - 8*c*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7) - (16*c^5*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7)))/e - (76*b^2*c^3*e^2*g - 272*c^5*d^2*g + 400*c^5*d*e*f - 264*b*c^4*e^2*f + 72*b*c^4*d*e*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7)))/e + (2*b*c^2*(13*b^2*e^2*g - 68*c^2*d^2*g - 58*b*c*e^2*f + 100*c^2*d*e*f + 18*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^7))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - (((d*((d*((d*((d*((32*c^7*e^2*(3*c*d*g - 6*b*e*g + 4*c*e*f))/(945*(b*e - 2*c*d)^11) + (32*c^8*d*e^2*g)/(945*(b*e - 2*c*d)^11)))/e - (16*c^6*e*(26*c^2*d^2*g - 31*b^2*e^2*g + 53*b*c*e^2*f - 74*c^2*d*e*f + 23*b*c*d*e*g))/(945*(b*e - 2*c*d)^11)))/e - (8*c^5*e*(160*c^3*d^2*f + 42*b^3*e^2*g - 158*b*c^2*d^2*g - 95*b^2*c*e^2*f + 62*b*c^2*d*e*f + 29*b^2*c*d*e*g))/(945*(b*e - 2*c*d)^11)))/e + (3968*c^8*d^4*g + 2452*b^3*c^5*e^4*f - 1022*b^4*c^4*e^4*g - 21120*c^8*d^3*e*f + 2624*b*c^7*d^3*e*g + 32960*b*c^7*d^2*e^2*f - 16232*b^2*c^6*d*e^3*f + 6396*b^3*c^5*d*e^3*g - 10840*b^2*c^6*d^2*e^2*g)/(945*e*(b*e - 2*c*d)^11)))/e - (1318*b^4*c^4*e^4*f - 544*b^5*c^3*e^4*g + 1984*b*c^7*d^4*g - 10560*b*c^7*d^3*e*f - 8092*b^3*c^5*d*e^3*f + 1312*b^2*c^6*d^3*e*g + 3100*b^4*c^4*d*e^3*g + 16160*b^2*c^6*d^2*e^2*f - 5156*b^3*c^5*d^2*e^2*g)/(945*e*(b*e - 2*c*d)^11))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x) + (((d*((d*((184*b^2*c^5*e^4*f - 66*b^3*c^4*e^4*g - 1232*c^7*d^2*e^2*f + 208*c^7*d^3*e*g + 440*b*c^6*d*e^3*f + 688*b*c^6*d^2*e^2*g - 400*b^2*c^5*d*e^3*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9) + (d*((d*((8*c^6*e^3*(4*c*d*g - 11*b*e*g + 8*c*e*f))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9) + (16*c^7*d*e^3*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9)))/e - (4*c^5*e^2*(64*c^2*d^2*g - 51*b^2*e^2*g + 98*b*c*e^2*f - 132*c^2*d*e*f + 18*b*c*d*e*g))/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9)))/e))/e + (1984*c^7*d^4*g + 1318*b^3*c^4*e^4*f - 544*b^4*c^3*e^4*g - 9920*c^7*d^3*e*f + 784*b*c^6*d^3*e*g + 16112*b*c^6*d^2*e^2*f - 8276*b^2*c^5*d*e^3*f + 3166*b^3*c^4*d*e^3*g - 4960*b^2*c^5*d^2*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9)))/e - (660*b^4*c^3*e^4*f - 268*b^5*c^2*e^4*g + 992*b*c^6*d^4*g - 4960*b*c^6*d^3*e*f - 3962*b^3*c^4*d*e^3*f + 444*b^2*c^5*d^3*e*g + 1476*b^4*c^3*d*e^3*g + 7748*b^2*c^5*d^2*e^2*f - 2340*b^3*c^4*d^2*e^2*g)/(315*(3*b*e^2 - 6*c*d*e)*(b*e - 2*c*d)^9))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^2 - ((x*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(348*b^4*c^5*e^7*f - 464*b^5*c^4*e^7*g + 30448*c^9*d^4*e^3*f + 1104*c^9*d^5*e^2*g - 45032*b*c^8*d^3*e^4*f - 3978*b^3*c^6*d*e^6*f - 22160*b*c^8*d^4*e^3*g + 4316*b^4*c^5*d*e^6*g + 21708*b^2*c^7*d^2*e^5*f + 33700*b^2*c^7*d^3*e^4*g - 18386*b^3*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(3248*b^6*c^3*e^7*g - 5692*b^5*c^4*e^7*f + 149760*c^9*d^5*e^2*f + 15360*c^9*d^6*e*g - 404848*b*c^8*d^4*e^3*f + 56224*b^4*c^5*d*e^6*f - 122064*b*c^8*d^5*e^2*g - 32356*b^5*c^4*d*e^6*g + 427364*b^2*c^7*d^3*e^4*f - 220918*b^3*c^6*d^2*e^5*f + 264872*b^2*c^7*d^4*e^3*g - 259042*b^3*c^6*d^3*e^4*g + 129352*b^4*c^5*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(348*b^4*c^5*e^7*f - 464*b^5*c^4*e^7*g + 30448*c^9*d^4*e^3*f + 1104*c^9*d^5*e^2*g - 45032*b*c^8*d^3*e^4*f - 3978*b^3*c^6*d*e^6*f - 22160*b*c^8*d^4*e^3*g + 4316*b^4*c^5*d*e^6*g + 21708*b^2*c^7*d^2*e^5*f + 33700*b^2*c^7*d^3*e^4*g - 18386*b^3*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((2*c^2*(348*b^4*c^5*e^7*f - 464*b^5*c^4*e^7*g + 30448*c^9*d^4*e^3*f + 1104*c^9*d^5*e^2*g - 45032*b*c^8*d^3*e^4*f - 3978*b^3*c^6*d*e^6*f - 22160*b*c^8*d^4*e^3*g + 4316*b^4*c^5*d*e^6*g + 21708*b^2*c^7*d^2*e^5*f + 33700*b^2*c^7*d^3*e^4*g - 18386*b^3*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(57088*c^9*d^7*g + 5000*b^6*c^3*e^7*f - 3096*b^7*c^2*e^7*g + 149760*c^9*d^6*e*f - 282368*b*c^8*d^6*e*g - 524160*b*c^8*d^5*e^2*f - 54308*b^5*c^4*d*e^6*f + 35096*b^6*c^3*d*e^6*g + 756412*b^2*c^7*d^4*e^3*f - 575502*b^3*c^6*d^3*e^4*f + 243428*b^4*c^5*d^2*e^5*f + 585108*b^2*c^7*d^5*e^2*g - 657804*b^3*c^6*d^4*e^3*g + 433220*b^4*c^5*d^3*e^4*g - 167244*b^5*c^4*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (b*c*(3248*b^6*c^3*e^7*g - 5692*b^5*c^4*e^7*f + 149760*c^9*d^5*e^2*f + 15360*c^9*d^6*e*g - 404848*b*c^8*d^4*e^3*f + 56224*b^4*c^5*d*e^6*f - 122064*b*c^8*d^5*e^2*g - 32356*b^5*c^4*d*e^6*g + 427364*b^2*c^7*d^3*e^4*f - 220918*b^3*c^6*d^2*e^5*f + 264872*b^2*c^7*d^4*e^3*g - 259042*b^3*c^6*d^3*e^4*g + 129352*b^4*c^5*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(348*b^4*c^5*e^7*f - 464*b^5*c^4*e^7*g + 30448*c^9*d^4*e^3*f + 1104*c^9*d^5*e^2*g - 45032*b*c^8*d^3*e^4*f - 3978*b^3*c^6*d*e^6*f - 22160*b*c^8*d^4*e^3*g + 4316*b^4*c^5*d*e^6*g + 21708*b^2*c^7*d^2*e^5*f + 33700*b^2*c^7*d^3*e^4*g - 18386*b^3*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(3248*b^6*c^3*e^7*g - 5692*b^5*c^4*e^7*f + 149760*c^9*d^5*e^2*f + 15360*c^9*d^6*e*g - 404848*b*c^8*d^4*e^3*f + 56224*b^4*c^5*d*e^6*f - 122064*b*c^8*d^5*e^2*g - 32356*b^5*c^4*d*e^6*g + 427364*b^2*c^7*d^3*e^4*f - 220918*b^3*c^6*d^2*e^5*f + 264872*b^2*c^7*d^4*e^3*g - 259042*b^3*c^6*d^3*e^4*g + 129352*b^4*c^5*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (4*b*c^8*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((8*c^9*e^4*(44*c^2*d^2*g - 99*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 86*b*c*d*e*g))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((16*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^10*e^6*g)/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (8*b*c^9*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (32*c^10*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(8*b^4*c^5*e^7*g - 398*b^3*c^6*e^7*f + 10576*c^9*d^3*e^4*f - 2784*c^9*d^4*e^3*g - 16088*b*c^8*d^2*e^5*f + 6516*b^2*c^7*d*e^6*f + 376*b*c^8*d^3*e^4*g - 2074*b^3*c^6*d*e^6*g + 4164*b^2*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(1032*b^2*c^7*e^7*f - 602*b^3*c^6*e^7*g - 112*c^9*d^2*e^5*f + 48*c^9*d^3*e^4*g - 1528*b*c^8*d*e^6*f + 424*b*c^8*d^2*e^5*g + 600*b^2*c^7*d*e^6*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(348*b^4*c^5*e^7*f - 464*b^5*c^4*e^7*g + 30448*c^9*d^4*e^3*f + 1104*c^9*d^5*e^2*g - 45032*b*c^8*d^3*e^4*f - 3978*b^3*c^6*d*e^6*f - 22160*b*c^8*d^4*e^3*g + 4316*b^4*c^5*d*e^6*g + 21708*b^2*c^7*d^2*e^5*f + 33700*b^2*c^7*d^3*e^4*g - 18386*b^3*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(57088*c^9*d^7*g + 5000*b^6*c^3*e^7*f - 3096*b^7*c^2*e^7*g + 149760*c^9*d^6*e*f - 282368*b*c^8*d^6*e*g - 524160*b*c^8*d^5*e^2*f - 54308*b^5*c^4*d*e^6*f + 35096*b^6*c^3*d*e^6*g + 756412*b^2*c^7*d^4*e^3*f - 575502*b^3*c^6*d^3*e^4*f + 243428*b^4*c^5*d^2*e^5*f + 585108*b^2*c^7*d^5*e^2*g - 657804*b^3*c^6*d^4*e^3*g + 433220*b^4*c^5*d^3*e^4*g - 167244*b^5*c^4*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^9*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)^2*(b*e - c*d + c*e*x)^2) + ((x*((d*(b*e - c*d)*((2*c^2*(3696*b^4*c^6*e^7*f - 3096*b^5*c^5*e^7*g + 121024*c^10*d^4*e^3*f + 6208*c^10*d^5*e^2*g - 194336*b*c^9*d^3*e^4*f - 28872*b^3*c^7*d*e^6*f - 88896*b*c^9*d^4*e^3*g + 23856*b^4*c^6*d*e^6*g + 110832*b^2*c^8*d^2*e^5*f + 140240*b^2*c^8*d^3*e^4*g - 84648*b^3*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(3696*b^4*c^6*e^7*f - 3096*b^5*c^5*e^7*g + 121024*c^10*d^4*e^3*f + 6208*c^10*d^5*e^2*g - 194336*b*c^9*d^3*e^4*f - 28872*b^3*c^7*d*e^6*f - 88896*b*c^9*d^4*e^3*g + 23856*b^4*c^6*d*e^6*g + 110832*b^2*c^8*d^2*e^5*f + 140240*b^2*c^8*d^3*e^4*g - 84648*b^3*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(11720*b^6*c^4*e^7*g - 18872*b^5*c^5*e^7*f + 440320*c^10*d^5*e^2*f + 103424*c^10*d^6*e*g - 1221824*b*c^9*d^4*e^3*f + 181328*b^4*c^6*d*e^6*f - 536640*b*c^9*d^5*e^2*g - 115576*b^5*c^5*d*e^6*g + 1318992*b^2*c^8*d^3*e^4*f - 696440*b^3*c^7*d^2*e^5*f + 1020704*b^2*c^8*d^4*e^3*g - 947048*b^3*c^7*d^3*e^4*g + 463360*b^4*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(3696*b^4*c^6*e^7*f - 3096*b^5*c^5*e^7*g + 121024*c^10*d^4*e^3*f + 6208*c^10*d^5*e^2*g - 194336*b*c^9*d^3*e^4*f - 28872*b^3*c^7*d*e^6*f - 88896*b*c^9*d^4*e^3*g + 23856*b^4*c^6*d*e^6*g + 110832*b^2*c^8*d^2*e^5*f + 140240*b^2*c^8*d^3*e^4*g - 84648*b^3*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(451840*c^10*d^7*g + 8492*b^6*c^4*e^7*f - 6844*b^7*c^3*e^7*g + 1076480*c^10*d^6*e*f - 2067968*b*c^9*d^6*e*g - 3009280*b*c^9*d^5*e^2*f - 120776*b^5*c^5*d*e^6*f + 99044*b^6*c^4*d*e^6*g + 3456144*b^2*c^8*d^4*e^3*f - 2084264*b^3*c^7*d^3*e^4*f + 694544*b^4*c^6*d^2*e^5*f + 3720112*b^2*c^8*d^5*e^2*g - 3506000*b^3*c^7*d^4*e^3*g + 1895152*b^4*c^6*d^3*e^4*g - 591664*b^5*c^5*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(11720*b^6*c^4*e^7*g - 18872*b^5*c^5*e^7*f + 440320*c^10*d^5*e^2*f + 103424*c^10*d^6*e*g - 1221824*b*c^9*d^4*e^3*f + 181328*b^4*c^6*d*e^6*f - 536640*b*c^9*d^5*e^2*g - 115576*b^5*c^5*d*e^6*g + 1318992*b^2*c^8*d^3*e^4*f - 696440*b^3*c^7*d^2*e^5*f + 1020704*b^2*c^8*d^4*e^3*g - 947048*b^3*c^7*d^3*e^4*g + 463360*b^4*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))) - (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((2*c^2*(3696*b^4*c^6*e^7*f - 3096*b^5*c^5*e^7*g + 121024*c^10*d^4*e^3*f + 6208*c^10*d^5*e^2*g - 194336*b*c^9*d^3*e^4*f - 28872*b^3*c^7*d*e^6*f - 88896*b*c^9*d^4*e^3*g + 23856*b^4*c^6*d*e^6*g + 110832*b^2*c^8*d^2*e^5*f + 140240*b^2*c^8*d^3*e^4*g - 84648*b^3*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(11720*b^6*c^4*e^7*g - 18872*b^5*c^5*e^7*f + 440320*c^10*d^5*e^2*f + 103424*c^10*d^6*e*g - 1221824*b*c^9*d^4*e^3*f + 181328*b^4*c^6*d*e^6*f - 536640*b*c^9*d^5*e^2*g - 115576*b^5*c^5*d*e^6*g + 1318992*b^2*c^8*d^3*e^4*f - 696440*b^3*c^7*d^2*e^5*f + 1020704*b^2*c^8*d^4*e^3*g - 947048*b^3*c^7*d^3*e^4*g + 463360*b^4*c^6*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (d*(b*e - c*d)*(((e*(b*e - c*d) + c*d*e)*(((e*(b*e - c*d) + c*d*e)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (d*(b*e - c*d)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (2*c^2*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (16*b*c^9*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (d*(b*e - c*d)*((32*c^10*e^4*(28*c^2*d^2*g - 103*b^2*e^2*g + 130*b*c*e^2*f - 164*c^2*d*e*f + 102*b*c*d*e*g))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - ((e*(b*e - c*d) + c*d*e)*((64*c^11*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*e^4*g*(e*(b*e - c*d) + c*d*e))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) - (64*b*c^11*e^6*g)/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (32*b*c^10*e^5*(8*c*d*g - 15*b*e*g + 8*c*e*f))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (128*c^11*d*e^4*g*(b*e - c*d))/(945*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (2*c^2*(232*b^3*c^7*e^7*f - 1136*b^4*c^6*e^7*g + 31808*c^10*d^3*e^4*f - 8576*c^10*d^4*e^3*g - 46560*b*c^9*d^2*e^5*f + 16144*b^2*c^8*d*e^6*f + 3680*b*c^9*d^3*e^4*g - 2440*b^3*c^7*d*e^6*g + 7888*b^2*c^8*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)) + (b*c*(4384*b^2*c^8*e^7*f - 2824*b^3*c^7*e^7*g + 576*c^10*d^2*e^5*f + 1216*c^10*d^3*e^4*g - 7136*b*c^9*d*e^6*f - 992*b*c^9*d^2*e^5*g + 4320*b^2*c^8*d*e^6*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) - (b*c*(3696*b^4*c^6*e^7*f - 3096*b^5*c^5*e^7*g + 121024*c^10*d^4*e^3*f + 6208*c^10*d^5*e^2*g - 194336*b*c^9*d^3*e^4*f - 28872*b^3*c^7*d*e^6*f - 88896*b*c^9*d^4*e^3*g + 23856*b^4*c^6*d*e^6*g + 110832*b^2*c^8*d^2*e^5*f + 140240*b^2*c^8*d^3*e^4*g - 84648*b^3*c^7*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e))))/(c*e^2) + (b*c*(451840*c^10*d^7*g + 8492*b^6*c^4*e^7*f - 6844*b^7*c^3*e^7*g + 1076480*c^10*d^6*e*f - 2067968*b*c^9*d^6*e*g - 3009280*b*c^9*d^5*e^2*f - 120776*b^5*c^5*d*e^6*f + 99044*b^6*c^4*d*e^6*g + 3456144*b^2*c^8*d^4*e^3*f - 2084264*b^3*c^7*d^3*e^4*f + 694544*b^4*c^6*d^2*e^5*f + 3720112*b^2*c^8*d^5*e^2*g - 3506000*b^3*c^7*d^4*e^3*g + 1895152*b^4*c^6*d^3*e^4*g - 591664*b^5*c^5*d^2*e^5*g))/(945*e*(b*e - 2*c*d)^11*(4*c^3*d^2 + b^2*c*e^2 - 4*b*c^2*d*e)))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/((d + e*x)*(b*e - c*d + c*e*x))","B"
2231,1,501,347,3.089947,"\text{Not used}","int((f + g*x)*(d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,x^3\,\sqrt{d+e\,x}\,\left(-8\,g\,b^2\,e^2+49\,g\,b\,c\,d\,e+11\,f\,b\,c\,e^2+256\,g\,c^2\,d^2+286\,f\,c^2\,d\,e\right)}{693\,c^2}+\frac{2\,e^2\,g\,x^5\,\sqrt{d+e\,x}}{11}+\frac{2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(128\,g\,b^4\,e^4-1040\,g\,b^3\,c\,d\,e^3-176\,f\,b^3\,c\,e^4+3144\,g\,b^2\,c^2\,d^2\,e^2+1320\,f\,b^2\,c^2\,d\,e^3-4142\,g\,b\,c^3\,d^3\,e-3498\,f\,b\,c^3\,d^2\,e^2+1910\,g\,c^4\,d^4+3509\,f\,c^4\,d^3\,e\right)}{3465\,c^5\,e^3}-\frac{x\,\sqrt{d+e\,x}\,\left(128\,g\,b^4\,c\,e^5-1040\,g\,b^3\,c^2\,d\,e^4-176\,f\,b^3\,c^2\,e^5+3144\,g\,b^2\,c^3\,d^2\,e^3+1320\,f\,b^2\,c^3\,d\,e^4-4142\,g\,b\,c^4\,d^3\,e^2-3498\,f\,b\,c^4\,d^2\,e^3+1910\,g\,c^5\,d^4\,e+44\,f\,c^5\,d^3\,e^2\right)}{3465\,c^5\,e^3}+\frac{x^2\,\sqrt{d+e\,x}\,\left(96\,g\,b^3\,c^2\,e^5-684\,g\,b^2\,c^3\,d\,e^4-132\,f\,b^2\,c^3\,e^5+1674\,g\,b\,c^4\,d^2\,e^3+858\,f\,b\,c^4\,d\,e^4+300\,g\,c^5\,d^3\,e^2+3432\,f\,c^5\,d^2\,e^3\right)}{3465\,c^5\,e^3}+\frac{2\,e\,x^4\,\sqrt{d+e\,x}\,\left(b\,e\,g+32\,c\,d\,g+11\,c\,e\,f\right)}{99\,c}\right)}{x+\frac{d}{e}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*x^3*(d + e*x)^(1/2)*(256*c^2*d^2*g - 8*b^2*e^2*g + 11*b*c*e^2*f + 286*c^2*d*e*f + 49*b*c*d*e*g))/(693*c^2) + (2*e^2*g*x^5*(d + e*x)^(1/2))/11 + (2*(b*e - c*d)*(d + e*x)^(1/2)*(128*b^4*e^4*g + 1910*c^4*d^4*g - 176*b^3*c*e^4*f + 3509*c^4*d^3*e*f - 4142*b*c^3*d^3*e*g - 1040*b^3*c*d*e^3*g - 3498*b*c^3*d^2*e^2*f + 1320*b^2*c^2*d*e^3*f + 3144*b^2*c^2*d^2*e^2*g))/(3465*c^5*e^3) - (x*(d + e*x)^(1/2)*(44*c^5*d^3*e^2*f - 176*b^3*c^2*e^5*f + 128*b^4*c*e^5*g + 1910*c^5*d^4*e*g - 3498*b*c^4*d^2*e^3*f + 1320*b^2*c^3*d*e^4*f - 4142*b*c^4*d^3*e^2*g - 1040*b^3*c^2*d*e^4*g + 3144*b^2*c^3*d^2*e^3*g))/(3465*c^5*e^3) + (x^2*(d + e*x)^(1/2)*(96*b^3*c^2*e^5*g - 132*b^2*c^3*e^5*f + 3432*c^5*d^2*e^3*f + 300*c^5*d^3*e^2*g + 858*b*c^4*d*e^4*f + 1674*b*c^4*d^2*e^3*g - 684*b^2*c^3*d*e^4*g))/(3465*c^5*e^3) + (2*e*x^4*(d + e*x)^(1/2)*(b*e*g + 32*c*d*g + 11*c*e*f))/(99*c)))/(x + d/e)","B"
2232,1,337,267,2.893564,"\text{Not used}","int((f + g*x)*(d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,x^3\,\sqrt{d+e\,x}\,\left(b\,e\,g+17\,c\,d\,g+9\,c\,e\,f\right)}{63\,c}+\frac{2\,e\,g\,x^4\,\sqrt{d+e\,x}}{9}+\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(-2\,g\,b^2\,e^2+10\,g\,b\,c\,d\,e+3\,f\,b\,c\,e^2+13\,g\,c^2\,d^2+39\,f\,c^2\,d\,e\right)}{105\,c^2\,e}+\frac{2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(-16\,g\,b^3\,e^3+96\,g\,b^2\,c\,d\,e^2+24\,f\,b^2\,c\,e^3-186\,g\,b\,c^2\,d^2\,e-132\,f\,b\,c^2\,d\,e^2+106\,g\,c^3\,d^3+213\,f\,c^3\,d^2\,e\right)}{315\,c^4\,e^3}+\frac{x\,\sqrt{d+e\,x}\,\left(16\,g\,b^3\,c\,e^4-96\,g\,b^2\,c^2\,d\,e^3-24\,f\,b^2\,c^2\,e^4+186\,g\,b\,c^3\,d^2\,e^2+132\,f\,b\,c^3\,d\,e^3-106\,g\,c^4\,d^3\,e+102\,f\,c^4\,d^2\,e^2\right)}{315\,c^4\,e^3}\right)}{x+\frac{d}{e}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*x^3*(d + e*x)^(1/2)*(b*e*g + 17*c*d*g + 9*c*e*f))/(63*c) + (2*e*g*x^4*(d + e*x)^(1/2))/9 + (2*x^2*(d + e*x)^(1/2)*(13*c^2*d^2*g - 2*b^2*e^2*g + 3*b*c*e^2*f + 39*c^2*d*e*f + 10*b*c*d*e*g))/(105*c^2*e) + (2*(b*e - c*d)*(d + e*x)^(1/2)*(106*c^3*d^3*g - 16*b^3*e^3*g + 24*b^2*c*e^3*f + 213*c^3*d^2*e*f - 132*b*c^2*d*e^2*f - 186*b*c^2*d^2*e*g + 96*b^2*c*d*e^2*g))/(315*c^4*e^3) + (x*(d + e*x)^(1/2)*(102*c^4*d^2*e^2*f - 24*b^2*c^2*e^4*f + 16*b^3*c*e^4*g - 106*c^4*d^3*e*g + 132*b*c^3*d*e^3*f + 186*b*c^3*d^2*e^2*g - 96*b^2*c^2*d*e^3*g))/(315*c^4*e^3)))/(x + d/e)","B"
2233,1,219,191,2.652446,"\text{Not used}","int((f + g*x)*(d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\frac{\left(\frac{2\,g\,x^3\,\sqrt{d+e\,x}}{7}+\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(b\,e\,g+6\,c\,d\,g+7\,c\,e\,f\right)}{35\,c\,e}+\frac{2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(8\,g\,b^2\,e^2-30\,g\,b\,c\,d\,e-14\,f\,b\,c\,e^2+22\,g\,c^2\,d^2+49\,f\,c^2\,d\,e\right)}{105\,c^3\,e^3}+\frac{x\,\sqrt{d+e\,x}\,\left(-8\,g\,b^2\,c\,e^3+30\,g\,b\,c^2\,d\,e^2+14\,f\,b\,c^2\,e^3-22\,g\,c^3\,d^2\,e+56\,f\,c^3\,d\,e^2\right)}{105\,c^3\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x+\frac{d}{e}}","Not used",1,"(((2*g*x^3*(d + e*x)^(1/2))/7 + (2*x^2*(d + e*x)^(1/2)*(b*e*g + 6*c*d*g + 7*c*e*f))/(35*c*e) + (2*(b*e - c*d)*(d + e*x)^(1/2)*(8*b^2*e^2*g + 22*c^2*d^2*g - 14*b*c*e^2*f + 49*c^2*d*e*f - 30*b*c*d*e*g))/(105*c^3*e^3) + (x*(d + e*x)^(1/2)*(14*b*c^2*e^3*f - 8*b^2*c*e^3*g + 56*c^3*d*e^2*f - 22*c^3*d^2*e*g + 30*b*c^2*d*e^2*g))/(105*c^3*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x + d/e)","B"
2234,1,100,118,2.498517,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(1/2),x)","\frac{\left(\frac{2\,g\,x^2}{5}+\frac{2\,x\,\left(b\,e\,g-c\,d\,g+5\,c\,e\,f\right)}{15\,c\,e}+\frac{2\,\left(b\,e-c\,d\right)\,\left(2\,c\,d\,g-2\,b\,e\,g+5\,c\,e\,f\right)}{15\,c^2\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\sqrt{d+e\,x}}","Not used",1,"(((2*g*x^2)/5 + (2*x*(b*e*g - c*d*g + 5*c*e*f))/(15*c*e) + (2*(b*e - c*d)*(2*c*d*g - 2*b*e*g + 5*c*e*f))/(15*c^2*e^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(1/2)","B"
2235,0,-1,186,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(3/2), x)","F"
2236,0,-1,223,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(5/2), x)","F"
2237,0,-1,231,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(7/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(7/2), x)","F"
2238,0,-1,307,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(9/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(9/2), x)","F"
2239,0,-1,387,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(11/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{{\left(d+e\,x\right)}^{11/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(11/2), x)","F"
2240,1,863,419,3.926613,"\text{Not used}","int((f + g*x)*(d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^3\,x^6\,\sqrt{d+e\,x}\,\left(16\,b\,e\,g+44\,c\,d\,g+15\,c\,e\,f\right)}{195}+\frac{2\,e^2\,x^5\,\sqrt{d+e\,x}\,\left(g\,b^2\,e^2+278\,g\,b\,c\,d\,e+70\,f\,b\,c\,e^2+111\,g\,c^2\,d^2+190\,f\,c^2\,d\,e\right)}{715\,c}+\frac{2\,c\,e^4\,g\,x^7\,\sqrt{d+e\,x}}{15}+\frac{2\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(-256\,g\,b^5\,e^5+2816\,g\,b^4\,c\,d\,e^4+384\,f\,b^4\,c\,e^5-12448\,g\,b^3\,c^2\,d^2\,e^3-4032\,f\,b^3\,c^2\,d\,e^4+27584\,g\,b^2\,c^3\,d^3\,e^2+16656\,f\,b^2\,c^3\,d^2\,e^3-30382\,g\,b\,c^4\,d^4\,e-33048\,f\,b\,c^4\,d^3\,e^2+12686\,g\,c^5\,d^5+29049\,f\,c^5\,d^4\,e\right)}{45045\,c^6\,e^3}+\frac{x^3\,\sqrt{d+e\,x}\,\left(160\,g\,b^4\,c^3\,e^7-1600\,g\,b^3\,c^4\,d\,e^6-240\,f\,b^3\,c^4\,e^7+6180\,g\,b^2\,c^5\,d^2\,e^5+2280\,f\,b^2\,c^5\,d\,e^6+49000\,g\,b\,c^6\,d^3\,e^4+81960\,f\,b\,c^6\,d^2\,e^5-40870\,g\,c^7\,d^4\,e^3-32520\,f\,c^7\,d^3\,e^4\right)}{45045\,c^6\,e^3}+\frac{x^4\,\sqrt{d+e\,x}\,\left(-140\,g\,b^3\,c^4\,e^7+1260\,g\,b^2\,c^5\,d\,e^6+210\,f\,b^2\,c^5\,e^7+63420\,g\,b\,c^6\,d^2\,e^5+43260\,f\,b\,c^6\,d\,e^6-24500\,g\,c^7\,d^3\,e^4+16590\,f\,c^7\,d^2\,e^5\right)}{45045\,c^6\,e^3}-\frac{x^2\,\sqrt{d+e\,x}\,\left(192\,g\,b^5\,c^2\,e^7-2112\,g\,b^4\,c^3\,d\,e^6-288\,f\,b^4\,c^3\,e^7+9336\,g\,b^3\,c^4\,d^2\,e^5+3024\,f\,b^3\,c^4\,d\,e^6-20688\,g\,b^2\,c^5\,d^3\,e^4-12492\,f\,b^2\,c^5\,d^2\,e^5+264\,g\,b\,c^6\,d^4\,e^3-65304\,f\,b\,c^6\,d^3\,e^4+13008\,g\,c^7\,d^5\,e^2+57042\,f\,c^7\,d^4\,e^3\right)}{45045\,c^6\,e^3}+\frac{2\,x\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(128\,g\,b^5\,e^5-1408\,g\,b^4\,c\,d\,e^4-192\,f\,b^4\,c\,e^5+6224\,g\,b^3\,c^2\,d^2\,e^3+2016\,f\,b^3\,c^2\,d\,e^4-13792\,g\,b^2\,c^3\,d^3\,e^2-8328\,f\,b^2\,c^3\,d^2\,e^3+15191\,g\,b\,c^4\,d^4\,e+16524\,f\,b\,c^4\,d^3\,e^2-6343\,g\,c^5\,d^5+7998\,f\,c^5\,d^4\,e\right)}{45045\,c^5\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^3*x^6*(d + e*x)^(1/2)*(16*b*e*g + 44*c*d*g + 15*c*e*f))/195 + (2*e^2*x^5*(d + e*x)^(1/2)*(b^2*e^2*g + 111*c^2*d^2*g + 70*b*c*e^2*f + 190*c^2*d*e*f + 278*b*c*d*e*g))/(715*c) + (2*c*e^4*g*x^7*(d + e*x)^(1/2))/15 + (2*(b*e - c*d)^2*(d + e*x)^(1/2)*(12686*c^5*d^5*g - 256*b^5*e^5*g + 384*b^4*c*e^5*f + 29049*c^5*d^4*e*f - 30382*b*c^4*d^4*e*g + 2816*b^4*c*d*e^4*g - 33048*b*c^4*d^3*e^2*f - 4032*b^3*c^2*d*e^4*f + 16656*b^2*c^3*d^2*e^3*f + 27584*b^2*c^3*d^3*e^2*g - 12448*b^3*c^2*d^2*e^3*g))/(45045*c^6*e^3) + (x^3*(d + e*x)^(1/2)*(160*b^4*c^3*e^7*g - 240*b^3*c^4*e^7*f - 32520*c^7*d^3*e^4*f - 40870*c^7*d^4*e^3*g + 81960*b*c^6*d^2*e^5*f + 2280*b^2*c^5*d*e^6*f + 49000*b*c^6*d^3*e^4*g - 1600*b^3*c^4*d*e^6*g + 6180*b^2*c^5*d^2*e^5*g))/(45045*c^6*e^3) + (x^4*(d + e*x)^(1/2)*(210*b^2*c^5*e^7*f - 140*b^3*c^4*e^7*g + 16590*c^7*d^2*e^5*f - 24500*c^7*d^3*e^4*g + 43260*b*c^6*d*e^6*f + 63420*b*c^6*d^2*e^5*g + 1260*b^2*c^5*d*e^6*g))/(45045*c^6*e^3) - (x^2*(d + e*x)^(1/2)*(192*b^5*c^2*e^7*g - 288*b^4*c^3*e^7*f + 57042*c^7*d^4*e^3*f + 13008*c^7*d^5*e^2*g - 65304*b*c^6*d^3*e^4*f + 3024*b^3*c^4*d*e^6*f + 264*b*c^6*d^4*e^3*g - 2112*b^4*c^3*d*e^6*g - 12492*b^2*c^5*d^2*e^5*f - 20688*b^2*c^5*d^3*e^4*g + 9336*b^3*c^4*d^2*e^5*g))/(45045*c^6*e^3) + (2*x*(b*e - c*d)*(d + e*x)^(1/2)*(128*b^5*e^5*g - 6343*c^5*d^5*g - 192*b^4*c*e^5*f + 7998*c^5*d^4*e*f + 15191*b*c^4*d^4*e*g - 1408*b^4*c*d*e^4*g + 16524*b*c^4*d^3*e^2*f + 2016*b^3*c^2*d*e^4*f - 8328*b^2*c^3*d^2*e^3*f - 13792*b^2*c^3*d^3*e^2*g + 6224*b^3*c^2*d^2*e^3*g))/(45045*c^5*e^2)))/(x + d/e)","B"
2241,1,637,347,3.629800,"\text{Not used}","int((f + g*x)*(d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^2\,x^5\,\sqrt{d+e\,x}\,\left(14\,b\,e\,g+25\,c\,d\,g+13\,c\,e\,f\right)}{143}+\frac{2\,c\,e^3\,g\,x^6\,\sqrt{d+e\,x}}{13}+\frac{x^2\,\sqrt{d+e\,x}\,\left(96\,g\,b^4\,c^2\,e^6-852\,g\,b^3\,c^3\,d\,e^5-156\,f\,b^3\,c^3\,e^6+2838\,g\,b^2\,c^4\,d^2\,e^4+1326\,f\,b^2\,c^4\,d\,e^5+3360\,g\,b\,c^5\,d^3\,e^3+18408\,f\,b\,c^5\,d^2\,e^4-5442\,g\,c^6\,d^4\,e^2-13572\,f\,c^6\,d^3\,e^3\right)}{15015\,c^5\,e^3}+\frac{2\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(128\,g\,b^4\,e^4-1136\,g\,b^3\,c\,d\,e^3-208\,f\,b^3\,c\,e^4+3784\,g\,b^2\,c^2\,d^2\,e^2+1768\,f\,b^2\,c^2\,d\,e^3-5530\,g\,b\,c^3\,d^3\,e-5486\,f\,b\,c^3\,d^2\,e^2+2754\,g\,c^4\,d^4+6929\,f\,c^4\,d^3\,e\right)}{15015\,c^5\,e^3}+\frac{2\,e\,x^4\,\sqrt{d+e\,x}\,\left(g\,b^2\,e^2+154\,g\,b\,c\,d\,e+52\,f\,b\,c\,e^2-12\,g\,c^2\,d^2+91\,f\,c^2\,d\,e\right)}{429\,c}+\frac{x^3\,\sqrt{d+e\,x}\,\left(-80\,g\,b^3\,c^3\,e^6+630\,g\,b^2\,c^4\,d\,e^5+130\,f\,b^2\,c^4\,e^6+13280\,g\,b\,c^5\,d^2\,e^4+14040\,f\,b\,c^5\,d\,e^5-9540\,g\,c^6\,d^3\,e^3-1300\,f\,c^6\,d^2\,e^4\right)}{15015\,c^5\,e^3}+\frac{2\,x\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(-64\,g\,b^4\,e^4+568\,g\,b^3\,c\,d\,e^3+104\,f\,b^3\,c\,e^4-1892\,g\,b^2\,c^2\,d^2\,e^2-884\,f\,b^2\,c^2\,d\,e^3+2765\,g\,b\,c^3\,d^3\,e+2743\,f\,b\,c^3\,d^2\,e^2-1377\,g\,c^4\,d^4+4043\,f\,c^4\,d^3\,e\right)}{15015\,c^4\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^2*x^5*(d + e*x)^(1/2)*(14*b*e*g + 25*c*d*g + 13*c*e*f))/143 + (2*c*e^3*g*x^6*(d + e*x)^(1/2))/13 + (x^2*(d + e*x)^(1/2)*(96*b^4*c^2*e^6*g - 156*b^3*c^3*e^6*f - 13572*c^6*d^3*e^3*f - 5442*c^6*d^4*e^2*g + 18408*b*c^5*d^2*e^4*f + 1326*b^2*c^4*d*e^5*f + 3360*b*c^5*d^3*e^3*g - 852*b^3*c^3*d*e^5*g + 2838*b^2*c^4*d^2*e^4*g))/(15015*c^5*e^3) + (2*(b*e - c*d)^2*(d + e*x)^(1/2)*(128*b^4*e^4*g + 2754*c^4*d^4*g - 208*b^3*c*e^4*f + 6929*c^4*d^3*e*f - 5530*b*c^3*d^3*e*g - 1136*b^3*c*d*e^3*g - 5486*b*c^3*d^2*e^2*f + 1768*b^2*c^2*d*e^3*f + 3784*b^2*c^2*d^2*e^2*g))/(15015*c^5*e^3) + (2*e*x^4*(d + e*x)^(1/2)*(b^2*e^2*g - 12*c^2*d^2*g + 52*b*c*e^2*f + 91*c^2*d*e*f + 154*b*c*d*e*g))/(429*c) + (x^3*(d + e*x)^(1/2)*(130*b^2*c^4*e^6*f - 80*b^3*c^3*e^6*g - 1300*c^6*d^2*e^4*f - 9540*c^6*d^3*e^3*g + 14040*b*c^5*d*e^5*f + 13280*b*c^5*d^2*e^4*g + 630*b^2*c^4*d*e^5*g))/(15015*c^5*e^3) + (2*x*(b*e - c*d)*(d + e*x)^(1/2)*(104*b^3*c*e^4*f - 1377*c^4*d^4*g - 64*b^4*e^4*g + 4043*c^4*d^3*e*f + 2765*b*c^3*d^3*e*g + 568*b^3*c*d*e^3*g + 2743*b*c^3*d^2*e^2*f - 884*b^2*c^2*d*e^3*f - 1892*b^2*c^2*d^2*e^2*g))/(15015*c^4*e^2)))/(x + d/e)","B"
2242,1,441,267,3.342310,"\text{Not used}","int((f + g*x)*(d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e\,x^4\,\sqrt{d+e\,x}\,\left(12\,b\,e\,g+10\,c\,d\,g+11\,c\,e\,f\right)}{99}+\frac{2\,x^3\,\sqrt{d+e\,x}\,\left(3\,g\,b^2\,e^2+214\,g\,b\,c\,d\,e+110\,f\,b\,c\,e^2-118\,g\,c^2\,d^2+88\,f\,c^2\,d\,e\right)}{693\,c}+\frac{2\,c\,e^2\,g\,x^5\,\sqrt{d+e\,x}}{11}+\frac{x^2\,\sqrt{d+e\,x}\,\left(-36\,g\,b^3\,c^2\,e^5+240\,g\,b^2\,c^3\,d\,e^4+66\,f\,b^2\,c^3\,e^5+1212\,g\,b\,c^4\,d^2\,e^3+3036\,f\,b\,c^4\,d\,e^4-1416\,g\,c^5\,d^3\,e^2-1716\,f\,c^5\,d^2\,e^3\right)}{3465\,c^4\,e^3}+\frac{2\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(-48\,g\,b^3\,e^3+320\,g\,b^2\,c\,d\,e^2+88\,f\,b^2\,c\,e^3-694\,g\,b\,c^2\,d^2\,e-572\,f\,b\,c^2\,d\,e^2+422\,g\,c^3\,d^3+1177\,f\,c^3\,d^2\,e\right)}{3465\,c^4\,e^3}+\frac{2\,x\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(24\,g\,b^3\,e^3-160\,g\,b^2\,c\,d\,e^2-44\,f\,b^2\,c\,e^3+347\,g\,b\,c^2\,d^2\,e+286\,f\,b\,c^2\,d\,e^2-211\,g\,c^3\,d^3+1144\,f\,c^3\,d^2\,e\right)}{3465\,c^3\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e*x^4*(d + e*x)^(1/2)*(12*b*e*g + 10*c*d*g + 11*c*e*f))/99 + (2*x^3*(d + e*x)^(1/2)*(3*b^2*e^2*g - 118*c^2*d^2*g + 110*b*c*e^2*f + 88*c^2*d*e*f + 214*b*c*d*e*g))/(693*c) + (2*c*e^2*g*x^5*(d + e*x)^(1/2))/11 + (x^2*(d + e*x)^(1/2)*(66*b^2*c^3*e^5*f - 36*b^3*c^2*e^5*g - 1716*c^5*d^2*e^3*f - 1416*c^5*d^3*e^2*g + 3036*b*c^4*d*e^4*f + 1212*b*c^4*d^2*e^3*g + 240*b^2*c^3*d*e^4*g))/(3465*c^4*e^3) + (2*(b*e - c*d)^2*(d + e*x)^(1/2)*(422*c^3*d^3*g - 48*b^3*e^3*g + 88*b^2*c*e^3*f + 1177*c^3*d^2*e*f - 572*b*c^2*d*e^2*f - 694*b*c^2*d^2*e*g + 320*b^2*c*d*e^2*g))/(3465*c^4*e^3) + (2*x*(b*e - c*d)*(d + e*x)^(1/2)*(24*b^3*e^3*g - 211*c^3*d^3*g - 44*b^2*c*e^3*f + 1144*c^3*d^2*e*f + 286*b*c^2*d*e^2*f + 347*b*c^2*d^2*e*g - 160*b^2*c*d*e^2*g))/(3465*c^3*e^2)))/(x + d/e)","B"
2243,1,239,193,3.048542,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(1/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e\,x^3\,\left(10\,b\,e\,g-c\,d\,g+9\,c\,e\,f\right)}{63}+\frac{2\,x^2\,\left(g\,b^2\,e^2+22\,g\,b\,c\,d\,e+24\,f\,b\,c\,e^2-23\,g\,c^2\,d^2-3\,f\,c^2\,d\,e\right)}{105\,c}+\frac{2\,c\,e^2\,g\,x^4}{9}+\frac{2\,{\left(b\,e-c\,d\right)}^2\,\left(8\,g\,b^2\,e^2-34\,g\,b\,c\,d\,e-18\,f\,b\,c\,e^2+26\,g\,c^2\,d^2+81\,f\,c^2\,d\,e\right)}{315\,c^3\,e^2}+\frac{2\,x\,\left(b\,e-c\,d\right)\,\left(-4\,g\,b^2\,e^2+17\,g\,b\,c\,d\,e+9\,f\,b\,c\,e^2-13\,g\,c^2\,d^2+117\,f\,c^2\,d\,e\right)}{315\,c^2\,e}\right)}{\sqrt{d+e\,x}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e*x^3*(10*b*e*g - c*d*g + 9*c*e*f))/63 + (2*x^2*(b^2*e^2*g - 23*c^2*d^2*g + 24*b*c*e^2*f - 3*c^2*d*e*f + 22*b*c*d*e*g))/(105*c) + (2*c*e^2*g*x^4)/9 + (2*(b*e - c*d)^2*(8*b^2*e^2*g + 26*c^2*d^2*g - 18*b*c*e^2*f + 81*c^2*d*e*f - 34*b*c*d*e*g))/(315*c^3*e^2) + (2*x*(b*e - c*d)*(9*b*c*e^2*f - 13*c^2*d^2*g - 4*b^2*e^2*g + 117*c^2*d*e*f + 17*b*c*d*e*g))/(315*c^2*e)))/(d + e*x)^(1/2)","B"
2244,1,133,118,2.807828,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(3/2),x)","-\frac{\left(x^2\,\left(\frac{16\,b\,e\,g}{35}-\frac{16\,c\,d\,g}{35}+\frac{2\,c\,e\,f}{5}\right)+\frac{2\,c\,e\,g\,x^3}{7}+\frac{2\,{\left(b\,e-c\,d\right)}^2\,\left(2\,c\,d\,g-2\,b\,e\,g+7\,c\,e\,f\right)}{35\,c^2\,e^2}+\frac{2\,x\,\left(b\,e-c\,d\right)\,\left(b\,e\,g-c\,d\,g+14\,c\,e\,f\right)}{35\,c\,e}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{\sqrt{d+e\,x}}","Not used",1,"-((x^2*((16*b*e*g)/35 - (16*c*d*g)/35 + (2*c*e*f)/5) + (2*c*e*g*x^3)/7 + (2*(b*e - c*d)^2*(2*c*d*g - 2*b*e*g + 7*c*e*f))/(35*c^2*e^2) + (2*x*(b*e - c*d)*(b*e*g - c*d*g + 14*c*e*f))/(35*c*e))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(d + e*x)^(1/2)","B"
2245,0,-1,250,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(5/2), x)","F"
2246,0,-1,288,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(7/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(7/2), x)","F"
2247,0,-1,305,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(9/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(9/2), x)","F"
2248,0,-1,307,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(11/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{11/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(11/2), x)","F"
2249,0,-1,387,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(13/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}}{{\left(d+e\,x\right)}^{13/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2))/(d + e*x)^(13/2), x)","F"
2250,1,1307,501,5.388915,"\text{Not used}","int((f + g*x)*(d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^4\,x^7\,\sqrt{d+e\,x}\,\left(69\,g\,b^2\,e^2+527\,g\,b\,c\,d\,e+133\,f\,b\,c\,e^2+50\,g\,c^2\,d^2+190\,f\,c^2\,d\,e\right)}{969}+\frac{x^5\,\sqrt{d+e\,x}\,\left(-1512\,g\,b^4\,c^5\,e^9+18018\,g\,b^3\,c^6\,d\,e^8+2394\,f\,b^3\,c^6\,e^9+5734134\,g\,b^2\,c^7\,d^2\,e^7+2882376\,f\,b^2\,c^7\,d\,e^8-527814\,g\,b\,c^8\,d^3\,e^6+5216526\,f\,b\,c^8\,d^2\,e^7-2577456\,g\,c^9\,d^4\,e^5-2810556\,f\,c^9\,d^3\,e^6\right)}{2909907\,c^7\,e^3}+\frac{2\,c^2\,e^6\,g\,x^9\,\sqrt{d+e\,x}}{19}+\frac{x^3\,\sqrt{d+e\,x}\,\left(-1920\,g\,b^6\,c^3\,e^9+26720\,g\,b^5\,c^4\,d\,e^8+3040\,f\,b^5\,c^4\,e^9-156480\,g\,b^4\,c^5\,d^2\,e^7-41040\,f\,b^4\,c^5\,d\,e^8+494020\,g\,b^3\,c^6\,d^3\,e^6+230660\,f\,b^3\,c^6\,d^2\,e^7+3963290\,g\,b^2\,c^7\,d^4\,e^5+9013600\,f\,b^2\,c^7\,d^3\,e^6-7149618\,g\,b\,c^8\,d^5\,e^4-9794310\,f\,b\,c^8\,d^4\,e^5+2823988\,g\,c^9\,d^6\,e^3+1419452\,f\,c^9\,d^5\,e^4\right)}{2909907\,c^7\,e^3}+\frac{x^6\,\sqrt{d+e\,x}\,\left(1386\,g\,b^3\,c^6\,e^9+2409792\,g\,b^2\,c^7\,d\,e^8+482790\,f\,b^2\,c^7\,e^9+4428270\,g\,b\,c^8\,d^2\,e^7+3660426\,f\,b\,c^8\,d\,e^8-2362668\,g\,c^9\,d^3\,e^6+333564\,f\,c^9\,d^2\,e^7\right)}{2909907\,c^7\,e^3}+\frac{2\,c\,e^5\,x^8\,\sqrt{d+e\,x}\,\left(39\,b\,e\,g+56\,c\,d\,g+19\,c\,e\,f\right)}{323}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\sqrt{d+e\,x}\,\left(3072\,g\,b^6\,e^6-42752\,g\,b^5\,c\,d\,e^5-4864\,f\,b^5\,c\,e^6+250368\,g\,b^4\,c^2\,d^2\,e^4+65664\,f\,b^4\,c^2\,d\,e^5-790432\,g\,b^3\,c^3\,d^3\,e^3-369056\,f\,b^3\,c^3\,d^2\,e^4+1418488\,g\,b^2\,c^4\,d^4\,e^2+1097744\,f\,b^2\,c^4\,d^3\,e^3-1364202\,g\,b\,c^5\,d^5\,e-1788546\,f\,b\,c^5\,d^4\,e^2+525458\,g\,c^6\,d^6+1414759\,f\,c^6\,d^5\,e\right)}{2909907\,c^7\,e^3}+\frac{x^4\,\sqrt{d+e\,x}\,\left(1680\,g\,b^5\,c^4\,e^9-21700\,g\,b^4\,c^5\,d\,e^8-2660\,f\,b^4\,c^5\,e^9+115220\,g\,b^3\,c^6\,d^2\,e^7+33250\,f\,b^3\,c^6\,d\,e^8+6957720\,g\,b^2\,c^7\,d^3\,e^6+7106190\,f\,b^2\,c^7\,d^2\,e^7-7422310\,g\,b\,c^8\,d^4\,e^5-780710\,f\,b\,c^8\,d^3\,e^6+1016036\,g\,c^9\,d^5\,e^4-3122840\,f\,c^9\,d^4\,e^5\right)}{2909907\,c^7\,e^3}+\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(384\,g\,b^6\,e^6-5344\,g\,b^5\,c\,d\,e^5-608\,f\,b^5\,c\,e^6+31296\,g\,b^4\,c^2\,d^2\,e^4+8208\,f\,b^4\,c^2\,d\,e^5-98804\,g\,b^3\,c^3\,d^3\,e^3-46132\,f\,b^3\,c^3\,d^2\,e^4+177311\,g\,b^2\,c^4\,d^4\,e^2+137218\,f\,b^2\,c^4\,d^3\,e^3+71967\,g\,b\,c^5\,d^5\,e+988893\,f\,b\,c^5\,d^4\,e^2-176810\,g\,c^6\,d^6-671878\,f\,c^6\,d^5\,e\right)}{969969\,c^5\,e}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(-1536\,g\,b^6\,e^6+21376\,g\,b^5\,c\,d\,e^5+2432\,f\,b^5\,c\,e^6-125184\,g\,b^4\,c^2\,d^2\,e^4-32832\,f\,b^4\,c^2\,d\,e^5+395216\,g\,b^3\,c^3\,d^3\,e^3+184528\,f\,b^3\,c^3\,d^2\,e^4-709244\,g\,b^2\,c^4\,d^4\,e^2-548872\,f\,b^2\,c^4\,d^3\,e^3+682101\,g\,b\,c^5\,d^5\,e+894273\,f\,b\,c^5\,d^4\,e^2-262729\,g\,c^6\,d^6+747574\,f\,c^6\,d^5\,e\right)}{2909907\,c^6\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^4*x^7*(d + e*x)^(1/2)*(69*b^2*e^2*g + 50*c^2*d^2*g + 133*b*c*e^2*f + 190*c^2*d*e*f + 527*b*c*d*e*g))/969 + (x^5*(d + e*x)^(1/2)*(2394*b^3*c^6*e^9*f - 1512*b^4*c^5*e^9*g - 2810556*c^9*d^3*e^6*f - 2577456*c^9*d^4*e^5*g + 5216526*b*c^8*d^2*e^7*f + 2882376*b^2*c^7*d*e^8*f - 527814*b*c^8*d^3*e^6*g + 18018*b^3*c^6*d*e^8*g + 5734134*b^2*c^7*d^2*e^7*g))/(2909907*c^7*e^3) + (2*c^2*e^6*g*x^9*(d + e*x)^(1/2))/19 + (x^3*(d + e*x)^(1/2)*(3040*b^5*c^4*e^9*f - 1920*b^6*c^3*e^9*g + 1419452*c^9*d^5*e^4*f + 2823988*c^9*d^6*e^3*g - 9794310*b*c^8*d^4*e^5*f - 41040*b^4*c^5*d*e^8*f - 7149618*b*c^8*d^5*e^4*g + 26720*b^5*c^4*d*e^8*g + 9013600*b^2*c^7*d^3*e^6*f + 230660*b^3*c^6*d^2*e^7*f + 3963290*b^2*c^7*d^4*e^5*g + 494020*b^3*c^6*d^3*e^6*g - 156480*b^4*c^5*d^2*e^7*g))/(2909907*c^7*e^3) + (x^6*(d + e*x)^(1/2)*(482790*b^2*c^7*e^9*f + 1386*b^3*c^6*e^9*g + 333564*c^9*d^2*e^7*f - 2362668*c^9*d^3*e^6*g + 3660426*b*c^8*d*e^8*f + 4428270*b*c^8*d^2*e^7*g + 2409792*b^2*c^7*d*e^8*g))/(2909907*c^7*e^3) + (2*c*e^5*x^8*(d + e*x)^(1/2)*(39*b*e*g + 56*c*d*g + 19*c*e*f))/323 + (2*(b*e - c*d)^3*(d + e*x)^(1/2)*(3072*b^6*e^6*g + 525458*c^6*d^6*g - 4864*b^5*c*e^6*f + 1414759*c^6*d^5*e*f - 1364202*b*c^5*d^5*e*g - 42752*b^5*c*d*e^5*g - 1788546*b*c^5*d^4*e^2*f + 65664*b^4*c^2*d*e^5*f + 1097744*b^2*c^4*d^3*e^3*f - 369056*b^3*c^3*d^2*e^4*f + 1418488*b^2*c^4*d^4*e^2*g - 790432*b^3*c^3*d^3*e^3*g + 250368*b^4*c^2*d^2*e^4*g))/(2909907*c^7*e^3) + (x^4*(d + e*x)^(1/2)*(1680*b^5*c^4*e^9*g - 2660*b^4*c^5*e^9*f - 3122840*c^9*d^4*e^5*f + 1016036*c^9*d^5*e^4*g - 780710*b*c^8*d^3*e^6*f + 33250*b^3*c^6*d*e^8*f - 7422310*b*c^8*d^4*e^5*g - 21700*b^4*c^5*d*e^8*g + 7106190*b^2*c^7*d^2*e^7*f + 6957720*b^2*c^7*d^3*e^6*g + 115220*b^3*c^6*d^2*e^7*g))/(2909907*c^7*e^3) + (2*x^2*(b*e - c*d)*(d + e*x)^(1/2)*(384*b^6*e^6*g - 176810*c^6*d^6*g - 608*b^5*c*e^6*f - 671878*c^6*d^5*e*f + 71967*b*c^5*d^5*e*g - 5344*b^5*c*d*e^5*g + 988893*b*c^5*d^4*e^2*f + 8208*b^4*c^2*d*e^5*f + 137218*b^2*c^4*d^3*e^3*f - 46132*b^3*c^3*d^2*e^4*f + 177311*b^2*c^4*d^4*e^2*g - 98804*b^3*c^3*d^3*e^3*g + 31296*b^4*c^2*d^2*e^4*g))/(969969*c^5*e) + (2*x*(b*e - c*d)^2*(d + e*x)^(1/2)*(2432*b^5*c*e^6*f - 262729*c^6*d^6*g - 1536*b^6*e^6*g + 747574*c^6*d^5*e*f + 682101*b*c^5*d^5*e*g + 21376*b^5*c*d*e^5*g + 894273*b*c^5*d^4*e^2*f - 32832*b^4*c^2*d*e^5*f - 548872*b^2*c^4*d^3*e^3*f + 184528*b^3*c^3*d^2*e^4*f - 709244*b^2*c^4*d^4*e^2*g + 395216*b^3*c^3*d^3*e^3*g - 125184*b^4*c^2*d^2*e^4*g))/(2909907*c^6*e^2)))/(x + d/e)","B"
2251,1,1023,424,4.642719,"\text{Not used}","int((f + g*x)*(d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^3\,x^6\,\sqrt{d+e\,x}\,\left(275\,g\,b^2\,e^2+1558\,g\,b\,c\,d\,e+527\,f\,b\,c\,e^2-303\,g\,c^2\,d^2+493\,f\,c^2\,d\,e\right)}{3315}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\sqrt{d+e\,x}\,\left(-1280\,g\,b^5\,e^5+15104\,g\,b^4\,c\,d\,e^4+2176\,f\,b^4\,c\,e^5-72096\,g\,b^3\,c^2\,d^2\,e^3-25024\,f\,b^3\,c^2\,d\,e^4+173824\,g\,b^2\,c^3\,d^3\,e^2+115056\,f\,b^2\,c^3\,d^2\,e^3-209686\,g\,b\,c^4\,d^4\,e-260984\,f\,b\,c^4\,d^3\,e^2+94134\,g\,c^5\,d^5+278171\,f\,c^5\,d^4\,e\right)}{765765\,c^6\,e^3}+\frac{x^4\,\sqrt{d+e\,x}\,\left(-700\,g\,b^4\,c^4\,e^8+7560\,g\,b^3\,c^5\,d\,e^7+1190\,f\,b^3\,c^5\,e^8+1116780\,g\,b^2\,c^6\,d^2\,e^6+753270\,f\,b^2\,c^6\,d\,e^7-830200\,g\,b\,c^7\,d^3\,e^5+624750\,f\,b\,c^7\,d^2\,e^6-123270\,g\,c^8\,d^4\,e^4-698530\,f\,c^8\,d^3\,e^5\right)}{765765\,c^6\,e^3}+\frac{2\,c^2\,e^5\,g\,x^8\,\sqrt{d+e\,x}}{17}+\frac{x^5\,\sqrt{d+e\,x}\,\left(630\,g\,b^3\,c^5\,e^8+606438\,g\,b^2\,c^6\,d\,e^7+152082\,f\,b^2\,c^6\,e^8+520254\,g\,b\,c^7\,d^2\,e^6+852516\,f\,b\,c^7\,d\,e^7-570402\,g\,c^8\,d^3\,e^5-169218\,f\,c^8\,d^2\,e^6\right)}{765765\,c^6\,e^3}+\frac{2\,c\,e^4\,x^7\,\sqrt{d+e\,x}\,\left(35\,b\,e\,g+33\,c\,d\,g+17\,c\,e\,f\right)}{255}+\frac{x^3\,\sqrt{d+e\,x}\,\left(800\,g\,b^5\,c^3\,e^8-9440\,g\,b^4\,c^4\,d\,e^7-1360\,f\,b^4\,c^4\,e^8+45060\,g\,b^3\,c^5\,d^2\,e^6+15640\,f\,b^3\,c^5\,d\,e^7+912380\,g\,b^2\,c^6\,d^3\,e^5+1459620\,f\,b^2\,c^6\,d^2\,e^6-1464290\,g\,b\,c^7\,d^4\,e^4-1113160\,f\,b\,c^7\,d^3\,e^5+515490\,g\,c^8\,d^5\,e^3-141950\,f\,c^8\,d^4\,e^4\right)}{765765\,c^6\,e^3}+\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(-160\,g\,b^5\,e^5+1888\,g\,b^4\,c\,d\,e^4+272\,f\,b^4\,c\,e^5-9012\,g\,b^3\,c^2\,d^2\,e^3-3128\,f\,b^3\,c^2\,d\,e^4+21728\,g\,b^2\,c^3\,d^3\,e^2+14382\,f\,b^2\,c^3\,d^2\,e^3+37603\,g\,b\,c^4\,d^4\,e+222632\,f\,b\,c^4\,d^3\,e^2-52047\,g\,c^5\,d^5-124763\,f\,c^5\,d^4\,e\right)}{255255\,c^4\,e}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(640\,g\,b^5\,e^5-7552\,g\,b^4\,c\,d\,e^4-1088\,f\,b^4\,c\,e^5+36048\,g\,b^3\,c^2\,d^2\,e^3+12512\,f\,b^3\,c^2\,d\,e^4-86912\,g\,b^2\,c^3\,d^3\,e^2-57528\,f\,b^2\,c^3\,d^2\,e^3+104843\,g\,b\,c^4\,d^4\,e+130492\,f\,b\,c^4\,d^3\,e^2-47067\,g\,c^5\,d^5+243797\,f\,c^5\,d^4\,e\right)}{765765\,c^5\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^3*x^6*(d + e*x)^(1/2)*(275*b^2*e^2*g - 303*c^2*d^2*g + 527*b*c*e^2*f + 493*c^2*d*e*f + 1558*b*c*d*e*g))/3315 + (2*(b*e - c*d)^3*(d + e*x)^(1/2)*(94134*c^5*d^5*g - 1280*b^5*e^5*g + 2176*b^4*c*e^5*f + 278171*c^5*d^4*e*f - 209686*b*c^4*d^4*e*g + 15104*b^4*c*d*e^4*g - 260984*b*c^4*d^3*e^2*f - 25024*b^3*c^2*d*e^4*f + 115056*b^2*c^3*d^2*e^3*f + 173824*b^2*c^3*d^3*e^2*g - 72096*b^3*c^2*d^2*e^3*g))/(765765*c^6*e^3) + (x^4*(d + e*x)^(1/2)*(1190*b^3*c^5*e^8*f - 700*b^4*c^4*e^8*g - 698530*c^8*d^3*e^5*f - 123270*c^8*d^4*e^4*g + 624750*b*c^7*d^2*e^6*f + 753270*b^2*c^6*d*e^7*f - 830200*b*c^7*d^3*e^5*g + 7560*b^3*c^5*d*e^7*g + 1116780*b^2*c^6*d^2*e^6*g))/(765765*c^6*e^3) + (2*c^2*e^5*g*x^8*(d + e*x)^(1/2))/17 + (x^5*(d + e*x)^(1/2)*(152082*b^2*c^6*e^8*f + 630*b^3*c^5*e^8*g - 169218*c^8*d^2*e^6*f - 570402*c^8*d^3*e^5*g + 852516*b*c^7*d*e^7*f + 520254*b*c^7*d^2*e^6*g + 606438*b^2*c^6*d*e^7*g))/(765765*c^6*e^3) + (2*c*e^4*x^7*(d + e*x)^(1/2)*(35*b*e*g + 33*c*d*g + 17*c*e*f))/255 + (x^3*(d + e*x)^(1/2)*(800*b^5*c^3*e^8*g - 1360*b^4*c^4*e^8*f - 141950*c^8*d^4*e^4*f + 515490*c^8*d^5*e^3*g - 1113160*b*c^7*d^3*e^5*f + 15640*b^3*c^5*d*e^7*f - 1464290*b*c^7*d^4*e^4*g - 9440*b^4*c^4*d*e^7*g + 1459620*b^2*c^6*d^2*e^6*f + 912380*b^2*c^6*d^3*e^5*g + 45060*b^3*c^5*d^2*e^6*g))/(765765*c^6*e^3) + (2*x^2*(b*e - c*d)*(d + e*x)^(1/2)*(272*b^4*c*e^5*f - 52047*c^5*d^5*g - 160*b^5*e^5*g - 124763*c^5*d^4*e*f + 37603*b*c^4*d^4*e*g + 1888*b^4*c*d*e^4*g + 222632*b*c^4*d^3*e^2*f - 3128*b^3*c^2*d*e^4*f + 14382*b^2*c^3*d^2*e^3*f + 21728*b^2*c^3*d^3*e^2*g - 9012*b^3*c^2*d^2*e^3*g))/(255255*c^4*e) + (2*x*(b*e - c*d)^2*(d + e*x)^(1/2)*(640*b^5*e^5*g - 47067*c^5*d^5*g - 1088*b^4*c*e^5*f + 243797*c^5*d^4*e*f + 104843*b*c^4*d^4*e*g - 7552*b^4*c*d*e^4*g + 130492*b*c^4*d^3*e^2*f + 12512*b^3*c^2*d*e^4*f - 57528*b^2*c^3*d^2*e^3*f - 86912*b^2*c^3*d^3*e^2*g + 36048*b^3*c^2*d^2*e^3*g))/(765765*c^5*e^2)))/(x + d/e)","B"
2252,1,769,343,4.025391,"\text{Not used}","int((f + g*x)*(d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^2\,x^5\,\sqrt{d+e\,x}\,\left(71\,g\,b^2\,e^2+263\,g\,b\,c\,d\,e+135\,f\,b\,c\,e^2-139\,g\,c^2\,d^2+60\,f\,c^2\,d\,e\right)}{715}+\frac{x^3\,\sqrt{d+e\,x}\,\left(-80\,g\,b^4\,c^3\,e^7+770\,g\,b^3\,c^4\,d\,e^6+150\,f\,b^3\,c^4\,e^7+42240\,g\,b^2\,c^5\,d^2\,e^5+43620\,f\,b^2\,c^5\,d\,e^6-59300\,g\,b\,c^6\,d^3\,e^4-6180\,f\,b\,c^6\,d^2\,e^5+16370\,g\,c^7\,d^4\,e^3-24720\,f\,c^7\,d^3\,e^4\right)}{45045\,c^5\,e^3}+\frac{2\,c^2\,e^4\,g\,x^7\,\sqrt{d+e\,x}}{15}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\sqrt{d+e\,x}\,\left(128\,g\,b^4\,e^4-1232\,g\,b^3\,c\,d\,e^3-240\,f\,b^3\,c\,e^4+4488\,g\,b^2\,c^2\,d^2\,e^2+2280\,f\,b^2\,c^2\,d\,e^3-7222\,g\,b\,c^3\,d^3\,e-8130\,f\,b\,c^3\,d^2\,e^2+3838\,g\,c^4\,d^4+12525\,f\,c^4\,d^3\,e\right)}{45045\,c^5\,e^3}+\frac{x^4\,\sqrt{d+e\,x}\,\left(70\,g\,b^3\,c^4\,e^7+33180\,g\,b^2\,c^5\,d\,e^6+11130\,f\,b^2\,c^5\,e^7-3780\,g\,b\,c^6\,d^2\,e^5+40530\,f\,b\,c^6\,d\,e^6-19460\,g\,c^7\,d^3\,e^4-21630\,f\,c^7\,d^2\,e^5\right)}{45045\,c^5\,e^3}+\frac{2\,c\,e^3\,x^6\,\sqrt{d+e\,x}\,\left(31\,b\,e\,g+14\,c\,d\,g+15\,c\,e\,f\right)}{195}+\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\sqrt{d+e\,x}\,\left(16\,g\,b^4\,e^4-154\,g\,b^3\,c\,d\,e^3-30\,f\,b^3\,c\,e^4+561\,g\,b^2\,c^2\,d^2\,e^2+285\,f\,b^2\,c^2\,d\,e^3+2851\,g\,b\,c^3\,d^3\,e+10245\,f\,b\,c^3\,d^2\,e^2-3274\,g\,c^4\,d^4-4065\,f\,c^4\,d^3\,e\right)}{15015\,c^3\,e}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\sqrt{d+e\,x}\,\left(-64\,g\,b^4\,e^4+616\,g\,b^3\,c\,d\,e^3+120\,f\,b^3\,c\,e^4-2244\,g\,b^2\,c^2\,d^2\,e^2-1140\,f\,b^2\,c^2\,d\,e^3+3611\,g\,b\,c^3\,d^3\,e+4065\,f\,b\,c^3\,d^2\,e^2-1919\,g\,c^4\,d^4+16260\,f\,c^4\,d^3\,e\right)}{45045\,c^4\,e^2}\right)}{x+\frac{d}{e}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^2*x^5*(d + e*x)^(1/2)*(71*b^2*e^2*g - 139*c^2*d^2*g + 135*b*c*e^2*f + 60*c^2*d*e*f + 263*b*c*d*e*g))/715 + (x^3*(d + e*x)^(1/2)*(150*b^3*c^4*e^7*f - 80*b^4*c^3*e^7*g - 24720*c^7*d^3*e^4*f + 16370*c^7*d^4*e^3*g - 6180*b*c^6*d^2*e^5*f + 43620*b^2*c^5*d*e^6*f - 59300*b*c^6*d^3*e^4*g + 770*b^3*c^4*d*e^6*g + 42240*b^2*c^5*d^2*e^5*g))/(45045*c^5*e^3) + (2*c^2*e^4*g*x^7*(d + e*x)^(1/2))/15 + (2*(b*e - c*d)^3*(d + e*x)^(1/2)*(128*b^4*e^4*g + 3838*c^4*d^4*g - 240*b^3*c*e^4*f + 12525*c^4*d^3*e*f - 7222*b*c^3*d^3*e*g - 1232*b^3*c*d*e^3*g - 8130*b*c^3*d^2*e^2*f + 2280*b^2*c^2*d*e^3*f + 4488*b^2*c^2*d^2*e^2*g))/(45045*c^5*e^3) + (x^4*(d + e*x)^(1/2)*(11130*b^2*c^5*e^7*f + 70*b^3*c^4*e^7*g - 21630*c^7*d^2*e^5*f - 19460*c^7*d^3*e^4*g + 40530*b*c^6*d*e^6*f - 3780*b*c^6*d^2*e^5*g + 33180*b^2*c^5*d*e^6*g))/(45045*c^5*e^3) + (2*c*e^3*x^6*(d + e*x)^(1/2)*(31*b*e*g + 14*c*d*g + 15*c*e*f))/195 + (2*x^2*(b*e - c*d)*(d + e*x)^(1/2)*(16*b^4*e^4*g - 3274*c^4*d^4*g - 30*b^3*c*e^4*f - 4065*c^4*d^3*e*f + 2851*b*c^3*d^3*e*g - 154*b^3*c*d*e^3*g + 10245*b*c^3*d^2*e^2*f + 285*b^2*c^2*d*e^3*f + 561*b^2*c^2*d^2*e^2*g))/(15015*c^3*e) + (2*x*(b*e - c*d)^2*(d + e*x)^(1/2)*(120*b^3*c*e^4*f - 1919*c^4*d^4*g - 64*b^4*e^4*g + 16260*c^4*d^3*e*f + 3611*b*c^3*d^3*e*g + 616*b^3*c*d*e^3*g + 4065*b*c^3*d^2*e^2*f - 1140*b^2*c^2*d*e^3*f - 2244*b^2*c^2*d^2*e^2*g))/(45045*c^4*e^2)))/(x + d/e)","B"
2253,1,491,270,3.723250,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(1/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,e^2\,x^4\,\left(159\,g\,b^2\,e^2+280\,g\,b\,c\,d\,e+299\,f\,b\,c\,e^2-296\,g\,c^2\,d^2-13\,f\,c^2\,d\,e\right)}{1287}+\frac{2\,c^2\,e^4\,g\,x^6}{13}+\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\left(-6\,g\,b^3\,e^3+44\,g\,b^2\,c\,d\,e^2+13\,f\,b^2\,c\,e^3+645\,g\,b\,c^2\,d^2\,e+1404\,f\,b\,c^2\,d\,e^2-683\,g\,c^3\,d^3-130\,f\,c^3\,d^2\,e\right)}{3003\,c^2}+\frac{x^3\,\left(30\,g\,b^3\,c^3\,e^6+5786\,g\,b^2\,c^4\,d\,e^5+2938\,f\,b^2\,c^4\,e^6-6228\,g\,b\,c^5\,d^2\,e^4+4992\,f\,b\,c^5\,d\,e^5+412\,g\,c^6\,d^3\,e^3-5356\,f\,c^6\,d^2\,e^4\right)}{9009\,c^4\,e^2}+\frac{2\,c\,e^3\,x^5\,\left(27\,b\,e\,g-c\,d\,g+13\,c\,e\,f\right)}{143}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\left(-48\,g\,b^3\,e^3+352\,g\,b^2\,c\,d\,e^2+104\,f\,b^2\,c\,e^3-846\,g\,b\,c^2\,d^2\,e-780\,f\,b\,c^2\,d\,e^2+542\,g\,c^3\,d^3+1963\,f\,c^3\,d^2\,e\right)}{9009\,c^4\,e^2}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\left(24\,g\,b^3\,e^3-176\,g\,b^2\,c\,d\,e^2-52\,f\,b^2\,c\,e^3+423\,g\,b\,c^2\,d^2\,e+390\,f\,b\,c^2\,d\,e^2-271\,g\,c^3\,d^3+3523\,f\,c^3\,d^2\,e\right)}{9009\,c^3\,e}\right)}{\sqrt{d+e\,x}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*e^2*x^4*(159*b^2*e^2*g - 296*c^2*d^2*g + 299*b*c*e^2*f - 13*c^2*d*e*f + 280*b*c*d*e*g))/1287 + (2*c^2*e^4*g*x^6)/13 + (2*x^2*(b*e - c*d)*(13*b^2*c*e^3*f - 683*c^3*d^3*g - 6*b^3*e^3*g - 130*c^3*d^2*e*f + 1404*b*c^2*d*e^2*f + 645*b*c^2*d^2*e*g + 44*b^2*c*d*e^2*g))/(3003*c^2) + (x^3*(2938*b^2*c^4*e^6*f + 30*b^3*c^3*e^6*g - 5356*c^6*d^2*e^4*f + 412*c^6*d^3*e^3*g + 4992*b*c^5*d*e^5*f - 6228*b*c^5*d^2*e^4*g + 5786*b^2*c^4*d*e^5*g))/(9009*c^4*e^2) + (2*c*e^3*x^5*(27*b*e*g - c*d*g + 13*c*e*f))/143 + (2*(b*e - c*d)^3*(542*c^3*d^3*g - 48*b^3*e^3*g + 104*b^2*c*e^3*f + 1963*c^3*d^2*e*f - 780*b*c^2*d*e^2*f - 846*b*c^2*d^2*e*g + 352*b^2*c*d*e^2*g))/(9009*c^4*e^2) + (2*x*(b*e - c*d)^2*(24*b^3*e^3*g - 271*c^3*d^3*g - 52*b^2*c*e^3*f + 3523*c^3*d^2*e*f + 390*b*c^2*d*e^2*f + 423*b*c^2*d^2*e*g - 176*b^2*c*d*e^2*g))/(9009*c^3*e)))/(d + e*x)^(1/2)","B"
2254,1,320,193,3.229101,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(3/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,c^2\,e^3\,g\,x^5}{11}+\frac{2\,c\,e^2\,x^4\,\left(23\,b\,e\,g-12\,c\,d\,g+11\,c\,e\,f\right)}{99}+\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\left(g\,b^2\,e^2+53\,g\,b\,c\,d\,e+55\,f\,b\,c\,e^2-54\,g\,c^2\,d^2+44\,f\,c^2\,d\,e\right)}{231\,c}-\frac{x^3\,\left(-226\,g\,b^2\,c^3\,e^5+34\,g\,b\,c^4\,d\,e^4-418\,f\,b\,c^4\,e^5+192\,g\,c^5\,d^2\,e^3+220\,f\,c^5\,d\,e^4\right)}{693\,c^3\,e^2}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\left(8\,g\,b^2\,e^2-38\,g\,b\,c\,d\,e-22\,f\,b\,c\,e^2+30\,g\,c^2\,d^2+121\,f\,c^2\,d\,e\right)}{693\,c^3\,e^2}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\left(-4\,g\,b^2\,e^2+19\,g\,b\,c\,d\,e+11\,f\,b\,c\,e^2-15\,g\,c^2\,d^2+286\,f\,c^2\,d\,e\right)}{693\,c^2\,e}\right)}{\sqrt{d+e\,x}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*c^2*e^3*g*x^5)/11 + (2*c*e^2*x^4*(23*b*e*g - 12*c*d*g + 11*c*e*f))/99 + (2*x^2*(b*e - c*d)*(b^2*e^2*g - 54*c^2*d^2*g + 55*b*c*e^2*f + 44*c^2*d*e*f + 53*b*c*d*e*g))/(231*c) - (x^3*(192*c^5*d^2*e^3*g - 226*b^2*c^3*e^5*g - 418*b*c^4*e^5*f + 220*c^5*d*e^4*f + 34*b*c^4*d*e^4*g))/(693*c^3*e^2) + (2*(b*e - c*d)^3*(8*b^2*e^2*g + 30*c^2*d^2*g - 22*b*c*e^2*f + 121*c^2*d*e*f - 38*b*c*d*e*g))/(693*c^3*e^2) + (2*x*(b*e - c*d)^2*(11*b*c*e^2*f - 15*c^2*d^2*g - 4*b^2*e^2*g + 286*c^2*d*e*f + 19*b*c*d*e*g))/(693*c^2*e)))/(d + e*x)^(1/2)","B"
2255,1,170,118,2.896802,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(5/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,x^2\,\left(b\,e-c\,d\right)\,\left(5\,b\,e\,g-5\,c\,d\,g+9\,c\,e\,f\right)}{21}+\frac{2\,c\,e\,x^3\,\left(19\,b\,e\,g-19\,c\,d\,g+9\,c\,e\,f\right)}{63}+\frac{2\,c^2\,e^2\,g\,x^4}{9}+\frac{2\,{\left(b\,e-c\,d\right)}^3\,\left(2\,c\,d\,g-2\,b\,e\,g+9\,c\,e\,f\right)}{63\,c^2\,e^2}+\frac{2\,x\,{\left(b\,e-c\,d\right)}^2\,\left(b\,e\,g-c\,d\,g+27\,c\,e\,f\right)}{63\,c\,e}\right)}{\sqrt{d+e\,x}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*x^2*(b*e - c*d)*(5*b*e*g - 5*c*d*g + 9*c*e*f))/21 + (2*c*e*x^3*(19*b*e*g - 19*c*d*g + 9*c*e*f))/63 + (2*c^2*e^2*g*x^4)/9 + (2*(b*e - c*d)^3*(2*c*d*g - 2*b*e*g + 9*c*e*f))/(63*c^2*e^2) + (2*x*(b*e - c*d)^2*(b*e*g - c*d*g + 27*c*e*f))/(63*c*e)))/(d + e*x)^(1/2)","B"
2256,0,-1,316,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(7/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(7/2), x)","F"
2257,0,-1,360,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(9/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(9/2), x)","F"
2258,0,-1,372,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(11/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{11/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(11/2), x)","F"
2259,0,-1,383,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(13/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{13/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(13/2), x)","F"
2260,0,-1,383,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(15/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{15/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(15/2), x)","F"
2261,0,-1,464,0.000000,"\text{Not used}","int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(17/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}}{{\left(d+e\,x\right)}^{17/2}} \,d x","Not used",1,"int(((f + g*x)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2))/(d + e*x)^(17/2), x)","F"
2262,1,246,270,2.770438,"\text{Not used}","int(((f + g*x)*(d + e*x)^(5/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","-\frac{\left(\frac{2\,g\,x^3\,\sqrt{d+e\,x}}{7\,c}+\frac{\sqrt{d+e\,x}\,\left(-96\,g\,b^3\,e^3+512\,g\,b^2\,c\,d\,e^2+112\,f\,b^2\,c\,e^3-876\,g\,b\,c^2\,d^2\,e-504\,f\,b\,c^2\,d\,e^2+460\,g\,c^3\,d^3+602\,f\,c^3\,d^2\,e\right)}{105\,c^4\,e^3}+\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(20\,c\,d\,g-6\,b\,e\,g+7\,c\,e\,f\right)}{35\,c^2\,e}+\frac{x\,\sqrt{d+e\,x}\,\left(48\,g\,b^2\,c\,e^3-208\,g\,b\,c^2\,d\,e^2-56\,f\,b\,c^2\,e^3+230\,g\,c^3\,d^2\,e+196\,f\,c^3\,d\,e^2\right)}{105\,c^4\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x+\frac{d}{e}}","Not used",1,"-(((2*g*x^3*(d + e*x)^(1/2))/(7*c) + ((d + e*x)^(1/2)*(460*c^3*d^3*g - 96*b^3*e^3*g + 112*b^2*c*e^3*f + 602*c^3*d^2*e*f - 504*b*c^2*d*e^2*f - 876*b*c^2*d^2*e*g + 512*b^2*c*d*e^2*g))/(105*c^4*e^3) + (2*x^2*(d + e*x)^(1/2)*(20*c*d*g - 6*b*e*g + 7*c*e*f))/(35*c^2*e) + (x*(d + e*x)^(1/2)*(48*b^2*c*e^3*g - 56*b*c^2*e^3*f + 196*c^3*d*e^2*f + 230*c^3*d^2*e*g - 208*b*c^2*d*e^2*g))/(105*c^4*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x + d/e)","B"
2263,1,149,193,2.553435,"\text{Not used}","int(((f + g*x)*(d + e*x)^(3/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(16\,g\,b^2\,e^2-52\,g\,b\,c\,d\,e-20\,f\,b\,c\,e^2+36\,g\,c^2\,d^2+50\,f\,c^2\,d\,e\right)}{15\,c^3\,e^3}+\frac{2\,g\,x^2\,\sqrt{d+e\,x}}{5\,c\,e}+\frac{2\,x\,\sqrt{d+e\,x}\,\left(9\,c\,d\,g-4\,b\,e\,g+5\,c\,e\,f\right)}{15\,c^2\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x+\frac{d}{e}}","Not used",1,"-((((d + e*x)^(1/2)*(16*b^2*e^2*g + 36*c^2*d^2*g - 20*b*c*e^2*f + 50*c^2*d*e*f - 52*b*c*d*e*g))/(15*c^3*e^3) + (2*g*x^2*(d + e*x)^(1/2))/(5*c*e) + (2*x*(d + e*x)^(1/2)*(9*c*d*g - 4*b*e*g + 5*c*e*f))/(15*c^2*e^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x + d/e)","B"
2264,1,89,117,2.523983,"\text{Not used}","int(((f + g*x)*(d + e*x)^(1/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(4\,c\,d\,g-4\,b\,e\,g+6\,c\,e\,f\right)}{3\,c^2\,e^3}+\frac{2\,g\,x\,\sqrt{d+e\,x}}{3\,c\,e^2}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x+\frac{d}{e}}","Not used",1,"-((((d + e*x)^(1/2)*(4*c*d*g - 4*b*e*g + 6*c*e*f))/(3*c^2*e^3) + (2*g*x*(d + e*x)^(1/2))/(3*c*e^2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x + d/e)","B"
2265,0,-1,131,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\int \frac{f+g\,x}{\sqrt{d+e\,x}\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)), x)","F"
2266,0,-1,153,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\int \frac{f+g\,x}{{\left(d+e\,x\right)}^{3/2}\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)), x)","F"
2267,0,-1,233,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)),x)","\int \frac{f+g\,x}{{\left(d+e\,x\right)}^{5/2}\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)), x)","F"
2268,1,398,369,3.094637,"\text{Not used}","int(((f + g*x)*(d + e*x)^(9/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,g\,x^4\,\sqrt{d+e\,x}}{7\,c^2}-\frac{\sqrt{d+e\,x}\,\left(256\,g\,b^4\,e^4-1696\,g\,b^3\,c\,d\,e^3-224\,f\,b^3\,c\,e^4+4112\,g\,b^2\,c^2\,d^2\,e^2+1232\,f\,b^2\,c^2\,d\,e^3-4300\,g\,b\,c^3\,d^3\,e-2212\,f\,b\,c^3\,d^2\,e^2+1628\,g\,c^4\,d^4+1274\,f\,c^4\,d^3\,e\right)}{35\,c^6\,e^4}+\frac{x^2\,\sqrt{d+e\,x}\,\left(32\,g\,b^2\,c^2\,e^4-148\,g\,b\,c^3\,d\,e^3-28\,f\,b\,c^3\,e^4+186\,g\,c^4\,d^2\,e^2+98\,f\,c^4\,d\,e^3\right)}{35\,c^6\,e^4}+\frac{2\,x^3\,\sqrt{d+e\,x}\,\left(29\,c\,d\,g-8\,b\,e\,g+7\,c\,e\,f\right)}{35\,c^3\,e}+\frac{x\,\sqrt{d+e\,x}\,\left(-128\,g\,b^3\,c\,e^4+720\,g\,b^2\,c^2\,d\,e^3+112\,f\,b^2\,c^2\,e^4-1336\,g\,b\,c^3\,d^2\,e^2-504\,f\,b\,c^3\,d\,e^3+814\,g\,c^4\,d^3\,e+602\,f\,c^4\,d^2\,e^2\right)}{35\,c^6\,e^4}\right)}{x^2+\frac{b\,x}{c}+\frac{d\,\left(b\,e-c\,d\right)}{c\,e^2}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*g*x^4*(d + e*x)^(1/2))/(7*c^2) - ((d + e*x)^(1/2)*(256*b^4*e^4*g + 1628*c^4*d^4*g - 224*b^3*c*e^4*f + 1274*c^4*d^3*e*f - 4300*b*c^3*d^3*e*g - 1696*b^3*c*d*e^3*g - 2212*b*c^3*d^2*e^2*f + 1232*b^2*c^2*d*e^3*f + 4112*b^2*c^2*d^2*e^2*g))/(35*c^6*e^4) + (x^2*(d + e*x)^(1/2)*(32*b^2*c^2*e^4*g + 186*c^4*d^2*e^2*g - 28*b*c^3*e^4*f + 98*c^4*d*e^3*f - 148*b*c^3*d*e^3*g))/(35*c^6*e^4) + (2*x^3*(d + e*x)^(1/2)*(29*c*d*g - 8*b*e*g + 7*c*e*f))/(35*c^3*e) + (x*(d + e*x)^(1/2)*(112*b^2*c^2*e^4*f + 602*c^4*d^2*e^2*f - 128*b^3*c*e^4*g + 814*c^4*d^3*e*g - 504*b*c^3*d*e^3*f - 1336*b*c^3*d^2*e^2*g + 720*b^2*c^2*d*e^3*g))/(35*c^6*e^4)))/(x^2 + (b*x)/c + (d*(b*e - c*d))/(c*e^2))","B"
2269,1,267,292,2.946679,"\text{Not used}","int(((f + g*x)*(d + e*x)^(7/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(16\,c\,d\,g-6\,b\,e\,g+5\,c\,e\,f\right)}{15\,c^3\,e^2}-\frac{\sqrt{d+e\,x}\,\left(-96\,g\,b^3\,e^3+448\,g\,b^2\,c\,d\,e^2+80\,f\,b^2\,c\,e^3-668\,g\,b\,c^2\,d^2\,e-280\,f\,b\,c^2\,d\,e^2+316\,g\,c^3\,d^3+230\,f\,c^3\,d^2\,e\right)}{15\,c^5\,e^4}+\frac{2\,g\,x^3\,\sqrt{d+e\,x}}{5\,c^2\,e}+\frac{x\,\sqrt{d+e\,x}\,\left(48\,g\,b^2\,c\,e^3-176\,g\,b\,c^2\,d\,e^2-40\,f\,b\,c^2\,e^3+158\,g\,c^3\,d^2\,e+100\,f\,c^3\,d\,e^2\right)}{15\,c^5\,e^4}\right)}{x^2+\frac{b\,x}{c}+\frac{d\,\left(b\,e-c\,d\right)}{c\,e^2}}","Not used",1,"((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*((2*x^2*(d + e*x)^(1/2)*(16*c*d*g - 6*b*e*g + 5*c*e*f))/(15*c^3*e^2) - ((d + e*x)^(1/2)*(316*c^3*d^3*g - 96*b^3*e^3*g + 80*b^2*c*e^3*f + 230*c^3*d^2*e*f - 280*b*c^2*d*e^2*f - 668*b*c^2*d^2*e*g + 448*b^2*c*d*e^2*g))/(15*c^5*e^4) + (2*g*x^3*(d + e*x)^(1/2))/(5*c^2*e) + (x*(d + e*x)^(1/2)*(48*b^2*c*e^3*g - 40*b*c^2*e^3*f + 100*c^3*d*e^2*f + 158*c^3*d^2*e*g - 176*b*c^2*d*e^2*g))/(15*c^5*e^4)))/(x^2 + (b*x)/c + (d*(b*e - c*d))/(c*e^2))","B"
2270,1,167,217,2.760412,"\text{Not used}","int(((f + g*x)*(d + e*x)^(5/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\frac{\left(\frac{2\,g\,x^2\,\sqrt{d+e\,x}}{3\,c^2\,e^2}-\frac{\sqrt{d+e\,x}\,\left(16\,g\,b^2\,e^2-44\,g\,b\,c\,d\,e-12\,f\,b\,c\,e^2+28\,g\,c^2\,d^2+18\,f\,c^2\,d\,e\right)}{3\,c^4\,e^4}+\frac{2\,x\,\sqrt{d+e\,x}\,\left(7\,c\,d\,g-4\,b\,e\,g+3\,c\,e\,f\right)}{3\,c^3\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x^2+\frac{b\,x}{c}+\frac{d\,\left(b\,e-c\,d\right)}{c\,e^2}}","Not used",1,"(((2*g*x^2*(d + e*x)^(1/2))/(3*c^2*e^2) - ((d + e*x)^(1/2)*(16*b^2*e^2*g + 28*c^2*d^2*g - 12*b*c*e^2*f + 18*c^2*d*e*f - 44*b*c*d*e*g))/(3*c^4*e^4) + (2*x*(d + e*x)^(1/2)*(7*c*d*g - 4*b*e*g + 3*c*e*f))/(3*c^3*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x^2 + (b*x)/c + (d*(b*e - c*d))/(c*e^2))","B"
2271,1,107,148,2.775616,"\text{Not used}","int(((f + g*x)*(d + e*x)^(3/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(4\,c\,d\,g-4\,b\,e\,g+2\,c\,e\,f\right)}{c^3\,e^4}-\frac{2\,g\,x\,\sqrt{d+e\,x}}{c^2\,e^3}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x^2+\frac{b\,x}{c}+\frac{d\,\left(b\,e-c\,d\right)}{c\,e^2}}","Not used",1,"-((((d + e*x)^(1/2)*(4*c*d*g - 4*b*e*g + 2*c*e*f))/(c^3*e^4) - (2*g*x*(d + e*x)^(1/2))/(c^2*e^3))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x^2 + (b*x)/c + (d*(b*e - c*d))/(c*e^2))","B"
2272,0,-1,155,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^(1/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^(1/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2273,0,-1,223,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\int \frac{f+g\,x}{\sqrt{d+e\,x}\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)), x)","F"
2274,0,-1,308,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\int \frac{f+g\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)), x)","F"
2275,0,-1,387,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)),x)","\int \frac{f+g\,x}{{\left(d+e\,x\right)}^{5/2}\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(5/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2)), x)","F"
2276,1,596,448,3.498700,"\text{Not used}","int(((f + g*x)*(d + e*x)^(13/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{\sqrt{d+e\,x}\,\left(-2560\,g\,b^5\,e^5+19968\,g\,b^4\,c\,d\,e^4+1792\,f\,b^4\,c\,e^5-60992\,g\,b^3\,c^2\,d^2\,e^3-11648\,f\,b^3\,c^2\,d\,e^4+91008\,g\,b^2\,c^3\,d^3\,e^2+27552\,f\,b^2\,c^3\,d^2\,e^3-66252\,g\,b\,c^4\,d^4\,e-27888\,f\,b\,c^4\,d^3\,e^2+18828\,g\,c^5\,d^5+10122\,f\,c^5\,d^4\,e\right)}{105\,c^8\,e^5}+\frac{2\,g\,x^5\,\sqrt{d+e\,x}}{7\,c^3}+\frac{4\,x^3\,\sqrt{d+e\,x}\,\left(40\,g\,b^2\,e^2-192\,g\,b\,c\,d\,e-28\,f\,b\,c\,e^2+257\,g\,c^2\,d^2+98\,f\,c^2\,d\,e\right)}{105\,c^5\,e^2}+\frac{2\,x^4\,\sqrt{d+e\,x}\,\left(38\,c\,d\,g-10\,b\,e\,g+7\,c\,e\,f\right)}{35\,c^4\,e}-\frac{x\,\sqrt{d+e\,x}\,\left(3840\,g\,b^4\,c\,e^5-26112\,g\,b^3\,c^2\,d\,e^4-2688\,f\,b^3\,c^2\,e^5+65376\,g\,b^2\,c^3\,d^2\,e^3+14784\,f\,b^2\,c^3\,d\,e^4-71136\,g\,b\,c^4\,d^3\,e^2-26544\,f\,b\,c^4\,d^2\,e^3+28242\,g\,c^5\,d^4\,e+15288\,f\,c^5\,d^3\,e^2\right)}{105\,c^8\,e^5}+\frac{x^2\,\sqrt{d+e\,x}\,\left(-960\,g\,b^3\,c^2\,e^5+5568\,g\,b^2\,c^3\,d\,e^4+672\,f\,b^2\,c^3\,e^5-10776\,g\,b\,c^4\,d^2\,e^3-3024\,f\,b\,c^4\,d\,e^4+7008\,g\,c^5\,d^3\,e^2+3612\,f\,c^5\,d^2\,e^3\right)}{105\,c^8\,e^5}\right)}{x^3+\frac{x\,\left(105\,b^2\,c^6\,e^5-105\,c^8\,d^2\,e^3\right)}{105\,c^8\,e^5}+\frac{d\,{\left(b\,e-c\,d\right)}^2}{c^2\,e^3}+\frac{x^2\,\left(2\,b\,e-c\,d\right)}{c\,e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*(((d + e*x)^(1/2)*(18828*c^5*d^5*g - 2560*b^5*e^5*g + 1792*b^4*c*e^5*f + 10122*c^5*d^4*e*f - 66252*b*c^4*d^4*e*g + 19968*b^4*c*d*e^4*g - 27888*b*c^4*d^3*e^2*f - 11648*b^3*c^2*d*e^4*f + 27552*b^2*c^3*d^2*e^3*f + 91008*b^2*c^3*d^3*e^2*g - 60992*b^3*c^2*d^2*e^3*g))/(105*c^8*e^5) + (2*g*x^5*(d + e*x)^(1/2))/(7*c^3) + (4*x^3*(d + e*x)^(1/2)*(40*b^2*e^2*g + 257*c^2*d^2*g - 28*b*c*e^2*f + 98*c^2*d*e*f - 192*b*c*d*e*g))/(105*c^5*e^2) + (2*x^4*(d + e*x)^(1/2)*(38*c*d*g - 10*b*e*g + 7*c*e*f))/(35*c^4*e) - (x*(d + e*x)^(1/2)*(15288*c^5*d^3*e^2*f - 2688*b^3*c^2*e^5*f + 3840*b^4*c*e^5*g + 28242*c^5*d^4*e*g - 26544*b*c^4*d^2*e^3*f + 14784*b^2*c^3*d*e^4*f - 71136*b*c^4*d^3*e^2*g - 26112*b^3*c^2*d*e^4*g + 65376*b^2*c^3*d^2*e^3*g))/(105*c^8*e^5) + (x^2*(d + e*x)^(1/2)*(672*b^2*c^3*e^5*f - 960*b^3*c^2*e^5*g + 3612*c^5*d^2*e^3*f + 7008*c^5*d^3*e^2*g - 3024*b*c^4*d*e^4*f - 10776*b*c^4*d^2*e^3*g + 5568*b^2*c^3*d*e^4*g))/(105*c^8*e^5)))/(x^3 + (x*(105*b^2*c^6*e^5 - 105*c^8*d^2*e^3))/(105*c^8*e^5) + (d*(b*e - c*d)^2)/(c^2*e^3) + (x^2*(2*b*e - c*d))/(c*e))","B"
2277,1,435,371,3.292094,"\text{Not used}","int(((f + g*x)*(d + e*x)^(11/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{\sqrt{d+e\,x}\,\left(256\,g\,b^4\,e^4-1504\,g\,b^3\,c\,d\,e^3-160\,f\,b^3\,c\,e^4+3216\,g\,b^2\,c^2\,d^2\,e^2+720\,f\,b^2\,c^2\,d\,e^3-2964\,g\,b\,c^3\,d^3\,e-1020\,f\,b\,c^3\,d^2\,e^2+996\,g\,c^4\,d^4+450\,f\,c^4\,d^3\,e\right)}{15\,c^7\,e^5}+\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(16\,g\,b^2\,e^2-62\,g\,b\,c\,d\,e-10\,f\,b\,c\,e^2+61\,g\,c^2\,d^2+25\,f\,c^2\,d\,e\right)}{5\,c^5\,e^3}+\frac{2\,x^3\,\sqrt{d+e\,x}\,\left(23\,c\,d\,g-8\,b\,e\,g+5\,c\,e\,f\right)}{15\,c^4\,e^2}+\frac{2\,g\,x^4\,\sqrt{d+e\,x}}{5\,c^3\,e}-\frac{x\,\sqrt{d+e\,x}\,\left(-384\,g\,b^3\,c\,e^4+1872\,g\,b^2\,c^2\,d\,e^3+240\,f\,b^2\,c^2\,e^4-2952\,g\,b\,c^3\,d^2\,e^2-840\,f\,b\,c^3\,d\,e^3+1494\,g\,c^4\,d^3\,e+690\,f\,c^4\,d^2\,e^2\right)}{15\,c^7\,e^5}\right)}{x^3+\frac{x\,\left(15\,b^2\,c^5\,e^5-15\,c^7\,d^2\,e^3\right)}{15\,c^7\,e^5}+\frac{d\,{\left(b\,e-c\,d\right)}^2}{c^2\,e^3}+\frac{x^2\,\left(2\,b\,e-c\,d\right)}{c\,e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*(((d + e*x)^(1/2)*(256*b^4*e^4*g + 996*c^4*d^4*g - 160*b^3*c*e^4*f + 450*c^4*d^3*e*f - 2964*b*c^3*d^3*e*g - 1504*b^3*c*d*e^3*g - 1020*b*c^3*d^2*e^2*f + 720*b^2*c^2*d*e^3*f + 3216*b^2*c^2*d^2*e^2*g))/(15*c^7*e^5) + (2*x^2*(d + e*x)^(1/2)*(16*b^2*e^2*g + 61*c^2*d^2*g - 10*b*c*e^2*f + 25*c^2*d*e*f - 62*b*c*d*e*g))/(5*c^5*e^3) + (2*x^3*(d + e*x)^(1/2)*(23*c*d*g - 8*b*e*g + 5*c*e*f))/(15*c^4*e^2) + (2*g*x^4*(d + e*x)^(1/2))/(5*c^3*e) - (x*(d + e*x)^(1/2)*(240*b^2*c^2*e^4*f + 690*c^4*d^2*e^2*f - 384*b^3*c*e^4*g + 1494*c^4*d^3*e*g - 840*b*c^3*d*e^3*f - 2952*b*c^3*d^2*e^2*g + 1872*b^2*c^2*d*e^3*g))/(15*c^7*e^5)))/(x^3 + (x*(15*b^2*c^5*e^5 - 15*c^7*d^2*e^3))/(15*c^7*e^5) + (d*(b*e - c*d)^2)/(c^2*e^3) + (x^2*(2*b*e - c*d))/(c*e))","B"
2278,1,314,291,3.206290,"\text{Not used}","int(((f + g*x)*(d + e*x)^(9/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}\,\left(\frac{\sqrt{d+e\,x}\,\left(-32\,g\,b^3\,e^3+128\,g\,b^2\,c\,d\,e^2+16\,f\,b^2\,c\,e^3-164\,g\,b\,c^2\,d^2\,e-40\,f\,b\,c^2\,d\,e^2+68\,g\,c^3\,d^3+22\,f\,c^3\,d^2\,e\right)}{3\,c^6\,e^5}+\frac{2\,x^2\,\sqrt{d+e\,x}\,\left(4\,c\,d\,g-2\,b\,e\,g+c\,e\,f\right)}{c^4\,e^3}+\frac{2\,g\,x^3\,\sqrt{d+e\,x}}{3\,c^3\,e^2}-\frac{x\,\sqrt{d+e\,x}\,\left(48\,g\,b^2\,c\,e^3-144\,g\,b\,c^2\,d\,e^2-24\,f\,b\,c^2\,e^3+102\,g\,c^3\,d^2\,e+36\,f\,c^3\,d\,e^2\right)}{3\,c^6\,e^5}\right)}{x^3+\frac{x\,\left(3\,b^2\,c^4\,e^5-3\,c^6\,d^2\,e^3\right)}{3\,c^6\,e^5}+\frac{d\,{\left(b\,e-c\,d\right)}^2}{c^2\,e^3}+\frac{x^2\,\left(2\,b\,e-c\,d\right)}{c\,e}}","Not used",1,"-((c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2)*(((d + e*x)^(1/2)*(68*c^3*d^3*g - 32*b^3*e^3*g + 16*b^2*c*e^3*f + 22*c^3*d^2*e*f - 40*b*c^2*d*e^2*f - 164*b*c^2*d^2*e*g + 128*b^2*c*d*e^2*g))/(3*c^6*e^5) + (2*x^2*(d + e*x)^(1/2)*(4*c*d*g - 2*b*e*g + c*e*f))/(c^4*e^3) + (2*g*x^3*(d + e*x)^(1/2))/(3*c^3*e^2) - (x*(d + e*x)^(1/2)*(48*b^2*c*e^3*g - 24*b*c^2*e^3*f + 36*c^3*d*e^2*f + 102*c^3*d^2*e*g - 144*b*c^2*d*e^2*g))/(3*c^6*e^5)))/(x^3 + (x*(3*b^2*c^4*e^5 - 3*c^6*d^2*e^3))/(3*c^6*e^5) + (d*(b*e - c*d)^2)/(c^2*e^3) + (x^2*(2*b*e - c*d))/(c*e))","B"
2279,1,214,217,2.887608,"\text{Not used}","int(((f + g*x)*(d + e*x)^(7/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","-\frac{\left(\frac{\sqrt{d+e\,x}\,\left(16\,g\,b^2\,e^2-36\,g\,b\,c\,d\,e-4\,f\,b\,c\,e^2+20\,g\,c^2\,d^2+2\,f\,c^2\,d\,e\right)}{3\,c^5\,e^5}+\frac{2\,g\,x^2\,\sqrt{d+e\,x}}{c^3\,e^3}-\frac{2\,x\,\sqrt{d+e\,x}\,\left(5\,c\,d\,g-4\,b\,e\,g+c\,e\,f\right)}{c^4\,e^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x^3+\frac{x\,\left(3\,b^2\,c^3\,e^5-3\,c^5\,d^2\,e^3\right)}{3\,c^5\,e^5}+\frac{d\,{\left(b\,e-c\,d\right)}^2}{c^2\,e^3}+\frac{x^2\,\left(2\,b\,e-c\,d\right)}{c\,e}}","Not used",1,"-((((d + e*x)^(1/2)*(16*b^2*e^2*g + 20*c^2*d^2*g - 4*b*c*e^2*f + 2*c^2*d*e*f - 36*b*c*d*e*g))/(3*c^5*e^5) + (2*g*x^2*(d + e*x)^(1/2))/(c^3*e^3) - (2*x*(d + e*x)^(1/2)*(5*c*d*g - 4*b*e*g + c*e*f))/(c^4*e^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x^3 + (x*(3*b^2*c^3*e^5 - 3*c^5*d^2*e^3))/(3*c^5*e^5) + (d*(b*e - c*d)^2)/(c^2*e^3) + (x^2*(2*b*e - c*d))/(c*e))","B"
2280,1,154,152,2.854348,"\text{Not used}","int(((f + g*x)*(d + e*x)^(5/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\frac{\left(\frac{\sqrt{d+e\,x}\,\left(4\,b\,e\,g-4\,c\,d\,g+2\,c\,e\,f\right)}{3\,c^4\,e^5}+\frac{2\,g\,x\,\sqrt{d+e\,x}}{c^3\,e^4}\right)\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}}{x^3+\frac{x\,\left(3\,b^2\,c^2\,e^5-3\,c^4\,d^2\,e^3\right)}{3\,c^4\,e^5}+\frac{d\,{\left(b\,e-c\,d\right)}^2}{c^2\,e^3}+\frac{x^2\,\left(2\,b\,e-c\,d\right)}{c\,e}}","Not used",1,"((((d + e*x)^(1/2)*(4*b*e*g - 4*c*d*g + 2*c*e*f))/(3*c^4*e^5) + (2*g*x*(d + e*x)^(1/2))/(c^3*e^4))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2))/(x^3 + (x*(3*b^2*c^2*e^5 - 3*c^4*d^2*e^3))/(3*c^4*e^5) + (d*(b*e - c*d)^2)/(c^2*e^3) + (x^2*(2*b*e - c*d))/(c*e))","B"
2281,0,-1,221,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^(3/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^(3/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2282,0,-1,313,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^(1/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^(1/2))/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2283,0,-1,378,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)),x)","\int \frac{f+g\,x}{\sqrt{d+e\,x}\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(1/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)), x)","F"
2284,0,-1,457,0.000000,"\text{Not used}","int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)),x)","\int \frac{f+g\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int((f + g*x)/((d + e*x)^(3/2)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2)), x)","F"
2285,0,-1,221,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2286,0,-1,219,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^m\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2287,0,-1,208,0.000000,"\text{Not used}","int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\int \left(f+g\,x\right)\,{\left(d+e\,x\right)}^m\,\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x} \,d x","Not used",1,"int((f + g*x)*(d + e*x)^m*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2), x)","F"
2288,0,-1,205,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^m}{\sqrt{c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(1/2), x)","F"
2289,0,-1,210,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(3/2), x)","F"
2290,0,-1,224,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(d + e*x)^m)/(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^(5/2), x)","F"
2291,1,79,42,2.579474,"\text{Not used}","int(-(d + e*x)^m*(b*e*(m + p + 1) - c*d*m + c*e*x*(m + 2*p + 2))*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^p,x)","-\left(b\,e\,x\,{\left(d+e\,x\right)}^m-\frac{\left(c\,d^2-b\,d\,e\right)\,{\left(d+e\,x\right)}^m}{e}+c\,e\,x^2\,{\left(d+e\,x\right)}^m\right)\,{\left(c\,d^2-b\,d\,e-c\,e^2\,x^2-b\,e^2\,x\right)}^p","Not used",1,"-(b*e*x*(d + e*x)^m - ((c*d^2 - b*d*e)*(d + e*x)^m)/e + c*e*x^2*(d + e*x)^m)*(c*d^2 - c*e^2*x^2 - b*d*e - b*e^2*x)^p","B"
2292,1,138,64,2.630605,"\text{Not used}","int(((f + g*x)*(d*(d*g + e*f + d*g*p) + e*x*(3*d*g + e*f + 2*d*g*p) + e^2*g*x^2*(p + 2))^p)/(d + e*x)^(2*p + 3),x)","-{\left(d\,\left(d\,g+e\,f+d\,g\,p\right)+e\,x\,\left(3\,d\,g+e\,f+2\,d\,g\,p\right)+e^2\,g\,x^2\,\left(p+2\right)\right)}^p\,\left(\frac{g\,x^2}{{\left(d+e\,x\right)}^{2\,p+3}}+\frac{d^2\,g+d\,e\,f+d^2\,g\,p}{e^2\,\left(p+2\right)\,{\left(d+e\,x\right)}^{2\,p+3}}+\frac{x\,\left(3\,d\,g+e\,f+2\,d\,g\,p\right)}{e\,\left(p+2\right)\,{\left(d+e\,x\right)}^{2\,p+3}}\right)","Not used",1,"-(d*(d*g + e*f + d*g*p) + e*x*(3*d*g + e*f + 2*d*g*p) + e^2*g*x^2*(p + 2))^p*((g*x^2)/(d + e*x)^(2*p + 3) + (d^2*g + d*e*f + d^2*g*p)/(e^2*(p + 2)*(d + e*x)^(2*p + 3)) + (x*(3*d*g + e*f + 2*d*g*p))/(e*(p + 2)*(d + e*x)^(2*p + 3)))","B"
2293,1,224,143,2.734714,"\text{Not used}","int(((f + g*x)*(d + e*x)^2)/(c*g^2*x^2 - c*f^2 + b*f*g + b*g^2*x)^2,x)","\frac{\ln\left(f+g\,x\right)\,\left(d^2\,g^2-2\,d\,e\,f\,g+e^2\,f^2\right)}{b^2\,g^5-4\,b\,c\,f\,g^4+4\,c^2\,f^2\,g^3}+\frac{b^2\,e^2\,g^2-2\,b\,c\,d\,e\,g^2-2\,b\,c\,e^2\,f\,g+c^2\,d^2\,g^2+2\,c^2\,d\,e\,f\,g+c^2\,e^2\,f^2}{c^2\,g^3\,\left(b\,g-2\,c\,f\right)\,\left(b\,g-c\,f+c\,g\,x\right)}+\frac{\ln\left(b\,g-c\,f+c\,g\,x\right)\,\left(c^2\,\left(-d^2\,g^2+2\,d\,e\,f\,g+3\,e^2\,f^2\right)+b^2\,e^2\,g^2-4\,b\,c\,e^2\,f\,g\right)}{c^2\,g^3\,{\left(b\,g-2\,c\,f\right)}^2}","Not used",1,"(log(f + g*x)*(d^2*g^2 + e^2*f^2 - 2*d*e*f*g))/(b^2*g^5 + 4*c^2*f^2*g^3 - 4*b*c*f*g^4) + (b^2*e^2*g^2 + c^2*d^2*g^2 + c^2*e^2*f^2 - 2*b*c*d*e*g^2 - 2*b*c*e^2*f*g + 2*c^2*d*e*f*g)/(c^2*g^3*(b*g - 2*c*f)*(b*g - c*f + c*g*x)) + (log(b*g - c*f + c*g*x)*(c^2*(3*e^2*f^2 - d^2*g^2 + 2*d*e*f*g) + b^2*e^2*g^2 - 4*b*c*e^2*f*g))/(c^2*g^3*(b*g - 2*c*f)^2)","B"
2294,1,57,73,0.056337,"\text{Not used}","int((x + 1)^4*(a + b*x)*(x^2 - x + 1)^4,x)","\frac{b\,x^{14}}{14}+\frac{a\,x^{13}}{13}+\frac{4\,b\,x^{11}}{11}+\frac{2\,a\,x^{10}}{5}+\frac{3\,b\,x^8}{4}+\frac{6\,a\,x^7}{7}+\frac{4\,b\,x^5}{5}+a\,x^4+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + a*x^4 + (6*a*x^7)/7 + (2*a*x^10)/5 + (a*x^13)/13 + (b*x^2)/2 + (4*b*x^5)/5 + (3*b*x^8)/4 + (4*b*x^11)/11 + (b*x^14)/14","B"
2295,1,46,60,0.030472,"\text{Not used}","int((x + 1)^3*(a + b*x)*(x^2 - x + 1)^3,x)","\frac{b\,x^{11}}{11}+\frac{a\,x^{10}}{10}+\frac{3\,b\,x^8}{8}+\frac{3\,a\,x^7}{7}+\frac{3\,b\,x^5}{5}+\frac{3\,a\,x^4}{4}+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (3*a*x^4)/4 + (3*a*x^7)/7 + (a*x^10)/10 + (b*x^2)/2 + (3*b*x^5)/5 + (3*b*x^8)/8 + (b*x^11)/11","B"
2296,1,34,44,0.022664,"\text{Not used}","int((x + 1)^2*(a + b*x)*(x^2 - x + 1)^2,x)","\frac{b\,x^8}{8}+\frac{a\,x^7}{7}+\frac{2\,b\,x^5}{5}+\frac{a\,x^4}{2}+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (a*x^4)/2 + (a*x^7)/7 + (b*x^2)/2 + (2*b*x^5)/5 + (b*x^8)/8","B"
2297,1,22,28,0.038755,"\text{Not used}","int((x + 1)*(a + b*x)*(x^2 - x + 1),x)","\frac{b\,x^5}{5}+\frac{a\,x^4}{4}+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (a*x^4)/4 + (b*x^2)/2 + (b*x^5)/5","B"
2298,1,78,54,2.344634,"\text{Not used}","int((a + b*x)/((x + 1)*(x^2 - x + 1)),x)","\ln\left(x+1\right)\,\left(\frac{a}{3}-\frac{b}{3}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{b}{6}-\frac{a}{6}+\frac{\sqrt{3}\,a\,1{}\mathrm{i}}{6}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{6}\right)-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{a}{6}-\frac{b}{6}+\frac{\sqrt{3}\,a\,1{}\mathrm{i}}{6}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(x + (3^(1/2)*1i)/2 - 1/2)*(b/6 - a/6 + (3^(1/2)*a*1i)/6 + (3^(1/2)*b*1i)/6) - log(x - (3^(1/2)*1i)/2 - 1/2)*(a/6 - b/6 + (3^(1/2)*a*1i)/6 + (3^(1/2)*b*1i)/6) + log(x + 1)*(a/3 - b/3)","B"
2299,1,97,79,2.292920,"\text{Not used}","int((a + b*x)/((x + 1)^2*(x^2 - x + 1)^2),x)","\frac{\frac{b\,x^2}{3}+\frac{a\,x}{3}}{x^3+1}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{a}{9}-\frac{b}{18}+\frac{\sqrt{3}\,a\,1{}\mathrm{i}}{9}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{b}{18}-\frac{a}{9}+\frac{\sqrt{3}\,a\,1{}\mathrm{i}}{9}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{18}\right)+\ln\left(x+1\right)\,\left(\frac{2\,a}{9}-\frac{b}{9}\right)","Not used",1,"((a*x)/3 + (b*x^2)/3)/(x^3 + 1) - log(x - (3^(1/2)*1i)/2 - 1/2)*(a/9 - b/18 + (3^(1/2)*a*1i)/9 + (3^(1/2)*b*1i)/18) + log(x + (3^(1/2)*1i)/2 - 1/2)*(b/18 - a/9 + (3^(1/2)*a*1i)/9 + (3^(1/2)*b*1i)/18) + log(x + 1)*((2*a)/9 - b/9)","B"
2300,1,114,101,0.135041,"\text{Not used}","int((a + b*x)/((x + 1)^3*(x^2 - x + 1)^3),x)","\ln\left(x+1\right)\,\left(\frac{5\,a}{27}-\frac{2\,b}{27}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{b}{27}-\frac{5\,a}{54}+\frac{\sqrt{3}\,a\,5{}\mathrm{i}}{54}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{27}\right)-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{5\,a}{54}-\frac{b}{27}+\frac{\sqrt{3}\,a\,5{}\mathrm{i}}{54}+\frac{\sqrt{3}\,b\,1{}\mathrm{i}}{27}\right)+\frac{\frac{2\,b\,x^5}{9}+\frac{5\,a\,x^4}{18}+\frac{7\,b\,x^2}{18}+\frac{4\,a\,x}{9}}{x^6+2\,x^3+1}","Not used",1,"log(x + (3^(1/2)*1i)/2 - 1/2)*(b/27 - (5*a)/54 + (3^(1/2)*a*5i)/54 + (3^(1/2)*b*1i)/27) - log(x - (3^(1/2)*1i)/2 - 1/2)*((5*a)/54 - b/27 + (3^(1/2)*a*5i)/54 + (3^(1/2)*b*1i)/27) + log(x + 1)*((5*a)/27 - (2*b)/27) + ((4*a*x)/9 + (5*a*x^4)/18 + (7*b*x^2)/18 + (2*b*x^5)/9)/(2*x^3 + x^6 + 1)","B"
2301,0,-1,365,0.000000,"\text{Not used}","int((x + 1)^(3/2)*(a + b*x)*(x^2 - x + 1)^(3/2),x)","\int {\left(x+1\right)}^{3/2}\,\left(a+b\,x\right)\,{\left(x^2-x+1\right)}^{3/2} \,d x","Not used",1,"int((x + 1)^(3/2)*(a + b*x)*(x^2 - x + 1)^(3/2), x)","F"
2302,0,-1,326,0.000000,"\text{Not used}","int((x + 1)^(1/2)*(a + b*x)*(x^2 - x + 1)^(1/2),x)","\int \sqrt{x+1}\,\left(a+b\,x\right)\,\sqrt{x^2-x+1} \,d x","Not used",1,"int((x + 1)^(1/2)*(a + b*x)*(x^2 - x + 1)^(1/2), x)","F"
2303,0,-1,275,0.000000,"\text{Not used}","int((a + b*x)/((x + 1)^(1/2)*(x^2 - x + 1)^(1/2)),x)","\int \frac{a+b\,x}{\sqrt{x+1}\,\sqrt{x^2-x+1}} \,d x","Not used",1,"int((a + b*x)/((x + 1)^(1/2)*(x^2 - x + 1)^(1/2)), x)","F"
2304,0,-1,304,0.000000,"\text{Not used}","int((a + b*x)/((x + 1)^(3/2)*(x^2 - x + 1)^(3/2)),x)","\int \frac{a+b\,x}{{\left(x+1\right)}^{3/2}\,{\left(x^2-x+1\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x)/((x + 1)^(3/2)*(x^2 - x + 1)^(3/2)), x)","F"
2305,0,-1,351,0.000000,"\text{Not used}","int((a + b*x)/((x + 1)^(5/2)*(x^2 - x + 1)^(5/2)),x)","\int \frac{a+b\,x}{{\left(x+1\right)}^{5/2}\,{\left(x^2-x+1\right)}^{5/2}} \,d x","Not used",1,"int((a + b*x)/((x + 1)^(5/2)*(x^2 - x + 1)^(5/2)), x)","F"
2306,1,270,134,0.130494,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a + b*x + c*x^2),x)","x^3\,\left(\frac{A\,c\,d^4}{3}+\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^6\,\left(\frac{A\,b\,e^4}{6}+\frac{B\,a\,e^4}{6}+\frac{2\,A\,c\,d\,e^3}{3}+\frac{2\,B\,b\,d\,e^3}{3}+B\,c\,d^2\,e^2\right)+x^2\,\left(\frac{A\,b\,d^4}{2}+\frac{B\,a\,d^4}{2}+2\,A\,a\,d^3\,e\right)+x^7\,\left(\frac{A\,c\,e^4}{7}+\frac{B\,b\,e^4}{7}+\frac{4\,B\,c\,d\,e^3}{7}\right)+x^4\,\left(\frac{B\,c\,d^4}{4}+A\,a\,d\,e^3+A\,c\,d^3\,e+B\,b\,d^3\,e+\frac{3\,A\,b\,d^2\,e^2}{2}+\frac{3\,B\,a\,d^2\,e^2}{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{4\,B\,c\,d^3\,e}{5}+\frac{6\,A\,c\,d^2\,e^2}{5}+\frac{6\,B\,b\,d^2\,e^2}{5}\right)+A\,a\,d^4\,x+\frac{B\,c\,e^4\,x^8}{8}","Not used",1,"x^3*((A*c*d^4)/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^6*((A*b*e^4)/6 + (B*a*e^4)/6 + (2*A*c*d*e^3)/3 + (2*B*b*d*e^3)/3 + B*c*d^2*e^2) + x^2*((A*b*d^4)/2 + (B*a*d^4)/2 + 2*A*a*d^3*e) + x^7*((A*c*e^4)/7 + (B*b*e^4)/7 + (4*B*c*d*e^3)/7) + x^4*((B*c*d^4)/4 + A*a*d*e^3 + A*c*d^3*e + B*b*d^3*e + (3*A*b*d^2*e^2)/2 + (3*B*a*d^2*e^2)/2) + x^5*((A*a*e^4)/5 + (4*A*b*d*e^3)/5 + (4*B*a*d*e^3)/5 + (4*B*c*d^3*e)/5 + (6*A*c*d^2*e^2)/5 + (6*B*b*d^2*e^2)/5) + A*a*d^4*x + (B*c*e^4*x^8)/8","B"
2307,1,206,134,2.355191,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a + b*x + c*x^2),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^6\,\left(\frac{A\,c\,e^3}{6}+\frac{B\,b\,e^3}{6}+\frac{B\,c\,d\,e^2}{2}\right)+x^3\,\left(\frac{A\,c\,d^3}{3}+\frac{B\,b\,d^3}{3}+A\,a\,d\,e^2+A\,b\,d^2\,e+B\,a\,d^2\,e\right)+x^5\,\left(\frac{A\,b\,e^3}{5}+\frac{B\,a\,e^3}{5}+\frac{3\,A\,c\,d\,e^2}{5}+\frac{3\,B\,b\,d\,e^2}{5}+\frac{3\,B\,c\,d^2\,e}{5}\right)+x^4\,\left(\frac{A\,a\,e^3}{4}+\frac{B\,c\,d^3}{4}+\frac{3\,A\,b\,d\,e^2}{4}+\frac{3\,B\,a\,d\,e^2}{4}+\frac{3\,A\,c\,d^2\,e}{4}+\frac{3\,B\,b\,d^2\,e}{4}\right)+A\,a\,d^3\,x+\frac{B\,c\,e^3\,x^7}{7}","Not used",1,"x^2*((A*b*d^3)/2 + (B*a*d^3)/2 + (3*A*a*d^2*e)/2) + x^6*((A*c*e^3)/6 + (B*b*e^3)/6 + (B*c*d*e^2)/2) + x^3*((A*c*d^3)/3 + (B*b*d^3)/3 + A*a*d*e^2 + A*b*d^2*e + B*a*d^2*e) + x^5*((A*b*e^3)/5 + (B*a*e^3)/5 + (3*A*c*d*e^2)/5 + (3*B*b*d*e^2)/5 + (3*B*c*d^2*e)/5) + x^4*((A*a*e^3)/4 + (B*c*d^3)/4 + (3*A*b*d*e^2)/4 + (3*B*a*d*e^2)/4 + (3*A*c*d^2*e)/4 + (3*B*b*d^2*e)/4) + A*a*d^3*x + (B*c*e^3*x^7)/7","B"
2308,1,143,134,2.324173,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a + b*x + c*x^2),x)","x^3\,\left(\frac{A\,a\,e^2}{3}+\frac{A\,c\,d^2}{3}+\frac{B\,b\,d^2}{3}+\frac{2\,A\,b\,d\,e}{3}+\frac{2\,B\,a\,d\,e}{3}\right)+x^4\,\left(\frac{A\,b\,e^2}{4}+\frac{B\,a\,e^2}{4}+\frac{B\,c\,d^2}{4}+\frac{A\,c\,d\,e}{2}+\frac{B\,b\,d\,e}{2}\right)+x^2\,\left(\frac{A\,b\,d^2}{2}+\frac{B\,a\,d^2}{2}+A\,a\,d\,e\right)+x^5\,\left(\frac{A\,c\,e^2}{5}+\frac{B\,b\,e^2}{5}+\frac{2\,B\,c\,d\,e}{5}\right)+A\,a\,d^2\,x+\frac{B\,c\,e^2\,x^6}{6}","Not used",1,"x^3*((A*a*e^2)/3 + (A*c*d^2)/3 + (B*b*d^2)/3 + (2*A*b*d*e)/3 + (2*B*a*d*e)/3) + x^4*((A*b*e^2)/4 + (B*a*e^2)/4 + (B*c*d^2)/4 + (A*c*d*e)/2 + (B*b*d*e)/2) + x^2*((A*b*d^2)/2 + (B*a*d^2)/2 + A*a*d*e) + x^5*((A*c*e^2)/5 + (B*b*e^2)/5 + (2*B*c*d*e)/5) + A*a*d^2*x + (B*c*e^2*x^6)/6","B"
2309,1,79,80,0.034472,"\text{Not used}","int((A + B*x)*(d + e*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,e\,x^5}{5}+\left(\frac{A\,c\,e}{4}+\frac{B\,b\,e}{4}+\frac{B\,c\,d}{4}\right)\,x^4+\left(\frac{A\,b\,e}{3}+\frac{A\,c\,d}{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^3*((A*b*e)/3 + (A*c*d)/3 + (B*a*e)/3 + (B*b*d)/3) + x^2*((A*a*e)/2 + (A*b*d)/2 + (B*a*d)/2) + x^4*((A*c*e)/4 + (B*b*e)/4 + (B*c*d)/4) + (B*c*e*x^5)/5 + A*a*d*x","B"
2310,1,38,42,0.042153,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2),x)","\frac{B\,c\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^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) + x^3*((A*c)/3 + (B*b)/3) + A*a*x + (B*c*x^4)/4","B"
2311,1,130,111,2.365032,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x),x)","x^2\,\left(\frac{A\,c+B\,b}{2\,e}-\frac{B\,c\,d}{2\,e^2}\right)+x\,\left(\frac{A\,b+B\,a}{e}-\frac{d\,\left(\frac{A\,c+B\,b}{e}-\frac{B\,c\,d}{e^2}\right)}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(A\,a\,e^3-B\,c\,d^3-A\,b\,d\,e^2-B\,a\,d\,e^2+A\,c\,d^2\,e+B\,b\,d^2\,e\right)}{e^4}+\frac{B\,c\,x^3}{3\,e}","Not used",1,"x^2*((A*c + B*b)/(2*e) - (B*c*d)/(2*e^2)) + x*((A*b + B*a)/e - (d*((A*c + B*b)/e - (B*c*d)/e^2))/e) + (log(d + e*x)*(A*a*e^3 - B*c*d^3 - A*b*d*e^2 - B*a*d*e^2 + A*c*d^2*e + B*b*d^2*e))/e^4 + (B*c*x^3)/(3*e)","B"
2312,1,137,116,0.091078,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^2,x)","x\,\left(\frac{A\,c+B\,b}{e^2}-\frac{2\,B\,c\,d}{e^3}\right)-\frac{A\,a\,e^3-B\,c\,d^3-A\,b\,d\,e^2-B\,a\,d\,e^2+A\,c\,d^2\,e+B\,b\,d^2\,e}{e\,\left(x\,e^4+d\,e^3\right)}+\frac{\ln\left(d+e\,x\right)\,\left(A\,b\,e^2+B\,a\,e^2+3\,B\,c\,d^2-2\,A\,c\,d\,e-2\,B\,b\,d\,e\right)}{e^4}+\frac{B\,c\,x^2}{2\,e^2}","Not used",1,"x*((A*c + B*b)/e^2 - (2*B*c*d)/e^3) - (A*a*e^3 - B*c*d^3 - A*b*d*e^2 - B*a*d*e^2 + A*c*d^2*e + B*b*d^2*e)/(e*(d*e^3 + e^4*x)) + (log(d + e*x)*(A*b*e^2 + B*a*e^2 + 3*B*c*d^2 - 2*A*c*d*e - 2*B*b*d*e))/e^4 + (B*c*x^2)/(2*e^2)","B"
2313,1,142,119,0.123349,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^3,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c\,e+B\,b\,e-3\,B\,c\,d\right)}{e^4}-\frac{x\,\left(A\,b\,e^2+B\,a\,e^2+3\,B\,c\,d^2-2\,A\,c\,d\,e-2\,B\,b\,d\,e\right)+\frac{A\,a\,e^3+5\,B\,c\,d^3+A\,b\,d\,e^2+B\,a\,d\,e^2-3\,A\,c\,d^2\,e-3\,B\,b\,d^2\,e}{2\,e}}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}+\frac{B\,c\,x}{e^3}","Not used",1,"(log(d + e*x)*(A*c*e + B*b*e - 3*B*c*d))/e^4 - (x*(A*b*e^2 + B*a*e^2 + 3*B*c*d^2 - 2*A*c*d*e - 2*B*b*d*e) + (A*a*e^3 + 5*B*c*d^3 + A*b*d*e^2 + B*a*d*e^2 - 3*A*c*d^2*e - 3*B*b*d^2*e)/(2*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) + (B*c*x)/e^3","B"
2314,1,154,127,2.373813,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^4,x)","\frac{B\,c\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{2\,A\,a\,e^3-11\,B\,c\,d^3+A\,b\,d\,e^2+B\,a\,d\,e^2+2\,A\,c\,d^2\,e+2\,B\,b\,d^2\,e}{6\,e^4}+\frac{x^2\,\left(A\,c\,e+B\,b\,e-3\,B\,c\,d\right)}{e^2}+\frac{x\,\left(A\,b\,e^2+B\,a\,e^2-9\,B\,c\,d^2+2\,A\,c\,d\,e+2\,B\,b\,d\,e\right)}{2\,e^3}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"(B*c*log(d + e*x))/e^4 - ((2*A*a*e^3 - 11*B*c*d^3 + A*b*d*e^2 + B*a*d*e^2 + 2*A*c*d^2*e + 2*B*b*d^2*e)/(6*e^4) + (x^2*(A*c*e + B*b*e - 3*B*c*d))/e^2 + (x*(A*b*e^2 + B*a*e^2 - 9*B*c*d^2 + 2*A*c*d*e + 2*B*b*d*e))/(2*e^3))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
2315,1,158,132,0.075082,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^5,x)","-\frac{\frac{3\,A\,a\,e^3+3\,B\,c\,d^3+A\,b\,d\,e^2+B\,a\,d\,e^2+A\,c\,d^2\,e+B\,b\,d^2\,e}{12\,e^4}+\frac{x^2\,\left(A\,c\,e+B\,b\,e+3\,B\,c\,d\right)}{2\,e^2}+\frac{x\,\left(A\,b\,e^2+B\,a\,e^2+3\,B\,c\,d^2+A\,c\,d\,e+B\,b\,d\,e\right)}{3\,e^3}+\frac{B\,c\,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*e^3 + 3*B*c*d^3 + A*b*d*e^2 + B*a*d*e^2 + A*c*d^2*e + B*b*d^2*e)/(12*e^4) + (x^2*(A*c*e + B*b*e + 3*B*c*d))/(2*e^2) + (x*(A*b*e^2 + B*a*e^2 + 3*B*c*d^2 + A*c*d*e + B*b*d*e))/(3*e^3) + (B*c*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"
2316,1,180,134,0.086530,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^6,x)","-\frac{\frac{12\,A\,a\,e^3+3\,B\,c\,d^3+3\,A\,b\,d\,e^2+3\,B\,a\,d\,e^2+2\,A\,c\,d^2\,e+2\,B\,b\,d^2\,e}{60\,e^4}+\frac{x^2\,\left(2\,A\,c\,e+2\,B\,b\,e+3\,B\,c\,d\right)}{6\,e^2}+\frac{x\,\left(3\,A\,b\,e^2+3\,B\,a\,e^2+3\,B\,c\,d^2+2\,A\,c\,d\,e+2\,B\,b\,d\,e\right)}{12\,e^3}+\frac{B\,c\,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*e^3 + 3*B*c*d^3 + 3*A*b*d*e^2 + 3*B*a*d*e^2 + 2*A*c*d^2*e + 2*B*b*d^2*e)/(60*e^4) + (x^2*(2*A*c*e + 2*B*b*e + 3*B*c*d))/(6*e^2) + (x*(3*A*b*e^2 + 3*B*a*e^2 + 3*B*c*d^2 + 2*A*c*d*e + 2*B*b*d*e))/(12*e^3) + (B*c*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"
2317,1,182,134,2.361133,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2))/(d + e*x)^7,x)","-\frac{\frac{10\,A\,a\,e^3+B\,c\,d^3+2\,A\,b\,d\,e^2+2\,B\,a\,d\,e^2+A\,c\,d^2\,e+B\,b\,d^2\,e}{60\,e^4}+\frac{x^2\,\left(A\,c\,e+B\,b\,e+B\,c\,d\right)}{4\,e^2}+\frac{x\,\left(2\,A\,b\,e^2+2\,B\,a\,e^2+B\,c\,d^2+A\,c\,d\,e+B\,b\,d\,e\right)}{10\,e^3}+\frac{B\,c\,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*e^3 + B*c*d^3 + 2*A*b*d*e^2 + 2*B*a*d*e^2 + A*c*d^2*e + B*b*d^2*e)/(60*e^4) + (x^2*(A*c*e + B*b*e + B*c*d))/(4*e^2) + (x*(2*A*b*e^2 + 2*B*a*e^2 + B*c*d^2 + A*c*d*e + B*b*d*e))/(10*e^3) + (B*c*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"
2318,1,739,304,0.273597,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a + b*x + c*x^2)^2,x)","x^3\,\left(\frac{5\,B\,a^2\,d^4\,e}{3}+\frac{10\,A\,a^2\,d^3\,e^2}{3}+\frac{2\,B\,a\,b\,d^5}{3}+\frac{10\,A\,a\,b\,d^4\,e}{3}+\frac{2\,A\,c\,a\,d^5}{3}+\frac{A\,b^2\,d^5}{3}\right)+x^9\,\left(\frac{B\,b^2\,e^5}{9}+\frac{10\,B\,b\,c\,d\,e^4}{9}+\frac{2\,A\,b\,c\,e^5}{9}+\frac{10\,B\,c^2\,d^2\,e^3}{9}+\frac{5\,A\,c^2\,d\,e^4}{9}+\frac{2\,B\,a\,c\,e^5}{9}\right)+x^4\,\left(\frac{5\,B\,a^2\,d^3\,e^2}{2}+\frac{5\,A\,a^2\,d^2\,e^3}{2}+\frac{5\,B\,a\,b\,d^4\,e}{2}+5\,A\,a\,b\,d^3\,e^2+\frac{B\,c\,a\,d^5}{2}+\frac{5\,A\,c\,a\,d^4\,e}{2}+\frac{B\,b^2\,d^5}{4}+\frac{5\,A\,b^2\,d^4\,e}{4}+\frac{A\,c\,b\,d^5}{2}\right)+x^8\,\left(\frac{5\,B\,b^2\,d\,e^4}{8}+\frac{A\,b^2\,e^5}{8}+\frac{5\,B\,b\,c\,d^2\,e^3}{2}+\frac{5\,A\,b\,c\,d\,e^4}{4}+\frac{B\,a\,b\,e^5}{4}+\frac{5\,B\,c^2\,d^3\,e^2}{4}+\frac{5\,A\,c^2\,d^2\,e^3}{4}+\frac{5\,B\,a\,c\,d\,e^4}{4}+\frac{A\,a\,c\,e^5}{4}\right)+x^6\,\left(\frac{5\,B\,a^2\,d\,e^4}{6}+\frac{A\,a^2\,e^5}{6}+\frac{10\,B\,a\,b\,d^2\,e^3}{3}+\frac{5\,A\,a\,b\,d\,e^4}{3}+\frac{10\,B\,a\,c\,d^3\,e^2}{3}+\frac{10\,A\,a\,c\,d^2\,e^3}{3}+\frac{5\,B\,b^2\,d^3\,e^2}{3}+\frac{5\,A\,b^2\,d^2\,e^3}{3}+\frac{5\,B\,b\,c\,d^4\,e}{3}+\frac{10\,A\,b\,c\,d^3\,e^2}{3}+\frac{B\,c^2\,d^5}{6}+\frac{5\,A\,c^2\,d^4\,e}{6}\right)+x^5\,\left(2\,B\,a^2\,d^2\,e^3+A\,a^2\,d\,e^4+4\,B\,a\,b\,d^3\,e^2+4\,A\,a\,b\,d^2\,e^3+2\,B\,a\,c\,d^4\,e+4\,A\,a\,c\,d^3\,e^2+B\,b^2\,d^4\,e+2\,A\,b^2\,d^3\,e^2+\frac{2\,B\,b\,c\,d^5}{5}+2\,A\,b\,c\,d^4\,e+\frac{A\,c^2\,d^5}{5}\right)+x^7\,\left(\frac{B\,a^2\,e^5}{7}+\frac{10\,B\,a\,b\,d\,e^4}{7}+\frac{2\,A\,a\,b\,e^5}{7}+\frac{20\,B\,a\,c\,d^2\,e^3}{7}+\frac{10\,A\,a\,c\,d\,e^4}{7}+\frac{10\,B\,b^2\,d^2\,e^3}{7}+\frac{5\,A\,b^2\,d\,e^4}{7}+\frac{20\,B\,b\,c\,d^3\,e^2}{7}+\frac{20\,A\,b\,c\,d^2\,e^3}{7}+\frac{5\,B\,c^2\,d^4\,e}{7}+\frac{10\,A\,c^2\,d^3\,e^2}{7}\right)+A\,a^2\,d^5\,x+\frac{a\,d^4\,x^2\,\left(5\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{c\,e^4\,x^{10}\,\left(A\,c\,e+2\,B\,b\,e+5\,B\,c\,d\right)}{10}+\frac{B\,c^2\,e^5\,x^{11}}{11}","Not used",1,"x^3*((A*b^2*d^5)/3 + (2*A*a*c*d^5)/3 + (2*B*a*b*d^5)/3 + (5*B*a^2*d^4*e)/3 + (10*A*a^2*d^3*e^2)/3 + (10*A*a*b*d^4*e)/3) + x^9*((B*b^2*e^5)/9 + (2*A*b*c*e^5)/9 + (2*B*a*c*e^5)/9 + (5*A*c^2*d*e^4)/9 + (10*B*c^2*d^2*e^3)/9 + (10*B*b*c*d*e^4)/9) + x^4*((B*b^2*d^5)/4 + (A*b*c*d^5)/2 + (B*a*c*d^5)/2 + (5*A*b^2*d^4*e)/4 + (5*A*a^2*d^2*e^3)/2 + (5*B*a^2*d^3*e^2)/2 + (5*A*a*c*d^4*e)/2 + (5*B*a*b*d^4*e)/2 + 5*A*a*b*d^3*e^2) + x^8*((A*b^2*e^5)/8 + (A*a*c*e^5)/4 + (B*a*b*e^5)/4 + (5*B*b^2*d*e^4)/8 + (5*A*c^2*d^2*e^3)/4 + (5*B*c^2*d^3*e^2)/4 + (5*A*b*c*d*e^4)/4 + (5*B*a*c*d*e^4)/4 + (5*B*b*c*d^2*e^3)/2) + x^6*((A*a^2*e^5)/6 + (B*c^2*d^5)/6 + (5*B*a^2*d*e^4)/6 + (5*A*c^2*d^4*e)/6 + (5*A*b^2*d^2*e^3)/3 + (5*B*b^2*d^3*e^2)/3 + (5*A*a*b*d*e^4)/3 + (5*B*b*c*d^4*e)/3 + (10*A*a*c*d^2*e^3)/3 + (10*B*a*b*d^2*e^3)/3 + (10*A*b*c*d^3*e^2)/3 + (10*B*a*c*d^3*e^2)/3) + x^5*((A*c^2*d^5)/5 + (2*B*b*c*d^5)/5 + A*a^2*d*e^4 + B*b^2*d^4*e + 2*A*b^2*d^3*e^2 + 2*B*a^2*d^2*e^3 + 2*A*b*c*d^4*e + 2*B*a*c*d^4*e + 4*A*a*b*d^2*e^3 + 4*A*a*c*d^3*e^2 + 4*B*a*b*d^3*e^2) + x^7*((B*a^2*e^5)/7 + (2*A*a*b*e^5)/7 + (5*A*b^2*d*e^4)/7 + (5*B*c^2*d^4*e)/7 + (10*A*c^2*d^3*e^2)/7 + (10*B*b^2*d^2*e^3)/7 + (10*A*a*c*d*e^4)/7 + (10*B*a*b*d*e^4)/7 + (20*A*b*c*d^2*e^3)/7 + (20*B*a*c*d^2*e^3)/7 + (20*B*b*c*d^3*e^2)/7) + A*a^2*d^5*x + (a*d^4*x^2*(5*A*a*e + 2*A*b*d + B*a*d))/2 + (c*e^4*x^10*(A*c*e + 2*B*b*e + 5*B*c*d))/10 + (B*c^2*e^5*x^11)/11","B"
2319,1,594,304,2.480816,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a + b*x + c*x^2)^2,x)","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{2\,A\,c\,a\,d^4}{3}+\frac{A\,b^2\,d^4}{3}\right)+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\,c\,a\,d^4}{2}+2\,A\,c\,a\,d^3\,e+\frac{B\,b^2\,d^4}{4}+A\,b^2\,d^3\,e+\frac{A\,c\,b\,d^4}{2}\right)+x^8\,\left(\frac{B\,b^2\,e^4}{8}+B\,b\,c\,d\,e^3+\frac{A\,b\,c\,e^4}{4}+\frac{3\,B\,c^2\,d^2\,e^2}{4}+\frac{A\,c^2\,d\,e^3}{2}+\frac{B\,a\,c\,e^4}{4}\right)+x^7\,\left(\frac{4\,B\,b^2\,d\,e^3}{7}+\frac{A\,b^2\,e^4}{7}+\frac{12\,B\,b\,c\,d^2\,e^2}{7}+\frac{8\,A\,b\,c\,d\,e^3}{7}+\frac{2\,B\,a\,b\,e^4}{7}+\frac{4\,B\,c^2\,d^3\,e}{7}+\frac{6\,A\,c^2\,d^2\,e^2}{7}+\frac{8\,B\,a\,c\,d\,e^3}{7}+\frac{2\,A\,a\,c\,e^4}{7}\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{8\,B\,a\,c\,d^3\,e}{5}+\frac{12\,A\,a\,c\,d^2\,e^2}{5}+\frac{4\,B\,b^2\,d^3\,e}{5}+\frac{6\,A\,b^2\,d^2\,e^2}{5}+\frac{2\,B\,b\,c\,d^4}{5}+\frac{8\,A\,b\,c\,d^3\,e}{5}+\frac{A\,c^2\,d^4}{5}\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}+2\,B\,a\,c\,d^2\,e^2+\frac{4\,A\,a\,c\,d\,e^3}{3}+B\,b^2\,d^2\,e^2+\frac{2\,A\,b^2\,d\,e^3}{3}+\frac{4\,B\,b\,c\,d^3\,e}{3}+2\,A\,b\,c\,d^2\,e^2+\frac{B\,c^2\,d^4}{6}+\frac{2\,A\,c^2\,d^3\,e}{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{c\,e^3\,x^9\,\left(A\,c\,e+2\,B\,b\,e+4\,B\,c\,d\right)}{9}+\frac{B\,c^2\,e^4\,x^{10}}{10}","Not used",1,"x^3*((A*b^2*d^4)/3 + (2*A*a*c*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^4*((B*b^2*d^4)/4 + (A*b*c*d^4)/2 + (B*a*c*d^4)/2 + A*a^2*d*e^3 + A*b^2*d^3*e + (3*B*a^2*d^2*e^2)/2 + 2*A*a*c*d^3*e + 2*B*a*b*d^3*e + 3*A*a*b*d^2*e^2) + x^8*((B*b^2*e^4)/8 + (A*b*c*e^4)/4 + (B*a*c*e^4)/4 + (A*c^2*d*e^3)/2 + (3*B*c^2*d^2*e^2)/4 + B*b*c*d*e^3) + x^7*((A*b^2*e^4)/7 + (2*A*a*c*e^4)/7 + (2*B*a*b*e^4)/7 + (4*B*b^2*d*e^3)/7 + (4*B*c^2*d^3*e)/7 + (6*A*c^2*d^2*e^2)/7 + (8*A*b*c*d*e^3)/7 + (8*B*a*c*d*e^3)/7 + (12*B*b*c*d^2*e^2)/7) + x^5*((A*a^2*e^4)/5 + (A*c^2*d^4)/5 + (2*B*b*c*d^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 + (8*A*b*c*d^3*e)/5 + (8*B*a*c*d^3*e)/5 + (12*A*a*c*d^2*e^2)/5 + (12*B*a*b*d^2*e^2)/5) + x^6*((B*a^2*e^4)/6 + (B*c^2*d^4)/6 + (A*a*b*e^4)/3 + (2*A*b^2*d*e^3)/3 + (2*A*c^2*d^3*e)/3 + B*b^2*d^2*e^2 + (4*A*a*c*d*e^3)/3 + (4*B*a*b*d*e^3)/3 + (4*B*b*c*d^3*e)/3 + 2*A*b*c*d^2*e^2 + 2*B*a*c*d^2*e^2) + A*a^2*d^4*x + (a*d^3*x^2*(4*A*a*e + 2*A*b*d + B*a*d))/2 + (c*e^3*x^9*(A*c*e + 2*B*b*e + 4*B*c*d))/9 + (B*c^2*e^4*x^10)/10","B"
2320,1,450,304,0.136564,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a + b*x + c*x^2)^2,x)","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{6\,B\,a\,c\,d^2\,e}{5}+\frac{6\,A\,a\,c\,d\,e^2}{5}+\frac{3\,B\,b^2\,d^2\,e}{5}+\frac{3\,A\,b^2\,d\,e^2}{5}+\frac{2\,B\,b\,c\,d^3}{5}+\frac{6\,A\,b\,c\,d^2\,e}{5}+\frac{A\,c^2\,d^3}{5}\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{2\,A\,c\,a\,d^3}{3}+\frac{A\,b^2\,d^3}{3}\right)+x^7\,\left(\frac{B\,b^2\,e^3}{7}+\frac{6\,B\,b\,c\,d\,e^2}{7}+\frac{2\,A\,b\,c\,e^3}{7}+\frac{3\,B\,c^2\,d^2\,e}{7}+\frac{3\,A\,c^2\,d\,e^2}{7}+\frac{2\,B\,a\,c\,e^3}{7}\right)+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\,c\,a\,d^3}{2}+\frac{3\,A\,c\,a\,d^2\,e}{2}+\frac{B\,b^2\,d^3}{4}+\frac{3\,A\,b^2\,d^2\,e}{4}+\frac{A\,c\,b\,d^3}{2}\right)+x^6\,\left(\frac{B\,b^2\,d\,e^2}{2}+\frac{A\,b^2\,e^3}{6}+B\,b\,c\,d^2\,e+A\,b\,c\,d\,e^2+\frac{B\,a\,b\,e^3}{3}+\frac{B\,c^2\,d^3}{6}+\frac{A\,c^2\,d^2\,e}{2}+B\,a\,c\,d\,e^2+\frac{A\,a\,c\,e^3}{3}\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{c\,e^2\,x^8\,\left(A\,c\,e+2\,B\,b\,e+3\,B\,c\,d\right)}{8}+\frac{B\,c^2\,e^3\,x^9}{9}","Not used",1,"x^5*((A*c^2*d^3)/5 + (B*a^2*e^3)/5 + (2*A*a*b*e^3)/5 + (2*B*b*c*d^3)/5 + (3*A*b^2*d*e^2)/5 + (3*B*b^2*d^2*e)/5 + (6*A*a*c*d*e^2)/5 + (6*B*a*b*d*e^2)/5 + (6*A*b*c*d^2*e)/5 + (6*B*a*c*d^2*e)/5) + x^3*((A*b^2*d^3)/3 + (2*A*a*c*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^7*((B*b^2*e^3)/7 + (2*A*b*c*e^3)/7 + (2*B*a*c*e^3)/7 + (3*A*c^2*d*e^2)/7 + (3*B*c^2*d^2*e)/7 + (6*B*b*c*d*e^2)/7) + x^4*((A*a^2*e^3)/4 + (B*b^2*d^3)/4 + (A*b*c*d^3)/2 + (B*a*c*d^3)/2 + (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*A*a*c*d^2*e)/2 + (3*B*a*b*d^2*e)/2) + x^6*((A*b^2*e^3)/6 + (B*c^2*d^3)/6 + (A*a*c*e^3)/3 + (B*a*b*e^3)/3 + (A*c^2*d^2*e)/2 + (B*b^2*d*e^2)/2 + A*b*c*d*e^2 + B*a*c*d*e^2 + B*b*c*d^2*e) + A*a^2*d^3*x + (a*d^2*x^2*(3*A*a*e + 2*A*b*d + B*a*d))/2 + (c*e^2*x^8*(A*c*e + 2*B*b*e + 3*B*c*d))/8 + (B*c^2*e^3*x^9)/9","B"
2321,1,310,304,2.331155,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a + b*x + c*x^2)^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{2\,A\,c\,a\,d^2}{3}+\frac{A\,b^2\,d^2}{3}\right)+x^6\,\left(\frac{B\,b^2\,e^2}{6}+\frac{2\,B\,b\,c\,d\,e}{3}+\frac{A\,b\,c\,e^2}{3}+\frac{B\,c^2\,d^2}{6}+\frac{A\,c^2\,d\,e}{3}+\frac{B\,a\,c\,e^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\,c\,a\,d^2}{2}+A\,c\,a\,d\,e+\frac{B\,b^2\,d^2}{4}+\frac{A\,b^2\,d\,e}{2}+\frac{A\,c\,b\,d^2}{2}\right)+x^5\,\left(\frac{2\,B\,b^2\,d\,e}{5}+\frac{A\,b^2\,e^2}{5}+\frac{2\,B\,b\,c\,d^2}{5}+\frac{4\,A\,b\,c\,d\,e}{5}+\frac{2\,B\,a\,b\,e^2}{5}+\frac{A\,c^2\,d^2}{5}+\frac{4\,B\,a\,c\,d\,e}{5}+\frac{2\,A\,a\,c\,e^2}{5}\right)+\frac{a\,d\,x^2\,\left(2\,A\,a\,e+2\,A\,b\,d+B\,a\,d\right)}{2}+\frac{c\,e\,x^7\,\left(A\,c\,e+2\,B\,b\,e+2\,B\,c\,d\right)}{7}+A\,a^2\,d^2\,x+\frac{B\,c^2\,e^2\,x^8}{8}","Not used",1,"x^3*((A*a^2*e^2)/3 + (A*b^2*d^2)/3 + (2*A*a*c*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^6*((B*b^2*e^2)/6 + (B*c^2*d^2)/6 + (A*b*c*e^2)/3 + (B*a*c*e^2)/3 + (A*c^2*d*e)/3 + (2*B*b*c*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*c*d^2)/2 + (B*a*c*d^2)/2 + (A*b^2*d*e)/2 + A*a*c*d*e + B*a*b*d*e) + x^5*((A*b^2*e^2)/5 + (A*c^2*d^2)/5 + (2*A*a*c*e^2)/5 + (2*B*a*b*e^2)/5 + (2*B*b*c*d^2)/5 + (2*B*b^2*d*e)/5 + (4*A*b*c*d*e)/5 + (4*B*a*c*d*e)/5) + (a*d*x^2*(2*A*a*e + 2*A*b*d + B*a*d))/2 + (c*e*x^7*(A*c*e + 2*B*b*e + 2*B*c*d))/7 + A*a^2*d^2*x + (B*c^2*e^2*x^8)/8","B"
2322,1,184,180,2.334407,"\text{Not used}","int((A + B*x)*(d + e*x)*(a + b*x + c*x^2)^2,x)","x^4\,\left(\frac{A\,b^2\,e}{4}+\frac{B\,b^2\,d}{4}+\frac{A\,a\,c\,e}{2}+\frac{A\,b\,c\,d}{2}+\frac{B\,a\,b\,e}{2}+\frac{B\,a\,c\,d}{2}\right)+x^3\,\left(\frac{A\,b^2\,d}{3}+\frac{B\,a^2\,e}{3}+\frac{2\,A\,a\,b\,e}{3}+\frac{2\,A\,a\,c\,d}{3}+\frac{2\,B\,a\,b\,d}{3}\right)+x^5\,\left(\frac{A\,c^2\,d}{5}+\frac{B\,b^2\,e}{5}+\frac{2\,A\,b\,c\,e}{5}+\frac{2\,B\,a\,c\,e}{5}+\frac{2\,B\,b\,c\,d}{5}\right)+x^2\,\left(\frac{A\,a^2\,e}{2}+\frac{B\,a^2\,d}{2}+A\,a\,b\,d\right)+x^6\,\left(\frac{A\,c^2\,e}{6}+\frac{B\,c^2\,d}{6}+\frac{B\,b\,c\,e}{3}\right)+A\,a^2\,d\,x+\frac{B\,c^2\,e\,x^7}{7}","Not used",1,"x^4*((A*b^2*e)/4 + (B*b^2*d)/4 + (A*a*c*e)/2 + (A*b*c*d)/2 + (B*a*b*e)/2 + (B*a*c*d)/2) + x^3*((A*b^2*d)/3 + (B*a^2*e)/3 + (2*A*a*b*e)/3 + (2*A*a*c*d)/3 + (2*B*a*b*d)/3) + x^5*((A*c^2*d)/5 + (B*b^2*e)/5 + (2*A*b*c*e)/5 + (2*B*a*c*e)/5 + (2*B*b*c*d)/5) + x^2*((A*a^2*e)/2 + (B*a^2*d)/2 + A*a*b*d) + x^6*((A*c^2*e)/6 + (B*c^2*d)/6 + (B*b*c*e)/3) + A*a^2*d*x + (B*c^2*e*x^7)/7","B"
2323,1,89,96,2.238658,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^2,x)","x^2\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,B\,b\,c}{5}\right)+x^3\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}+\frac{2\,A\,a\,c}{3}\right)+x^4\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}+\frac{B\,a\,c}{2}\right)+\frac{B\,c^2\,x^6}{6}+A\,a^2\,x","Not used",1,"x^2*((B*a^2)/2 + A*a*b) + x^5*((A*c^2)/5 + (2*B*b*c)/5) + x^3*((A*b^2)/3 + (2*A*a*c)/3 + (2*B*a*b)/3) + x^4*((B*b^2)/4 + (A*b*c)/2 + (B*a*c)/2) + (B*c^2*x^6)/6 + A*a^2*x","B"
2324,1,423,257,0.083028,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x),x)","x^3\,\left(\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{3\,e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{3\,e}\right)+x\,\left(\frac{B\,a^2+2\,A\,b\,a}{e}-\frac{d\,\left(\frac{A\,b^2+2\,B\,a\,b+2\,A\,a\,c}{e}-\frac{d\,\left(\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}\right)}{e}\right)}{e}\right)+x^4\,\left(\frac{A\,c^2+2\,B\,b\,c}{4\,e}-\frac{B\,c^2\,d}{4\,e^2}\right)+x^2\,\left(\frac{A\,b^2+2\,B\,a\,b+2\,A\,a\,c}{2\,e}-\frac{d\,\left(\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{e}-\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e}-\frac{B\,c^2\,d}{e^2}\right)}{e}\right)}{2\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^2\,d\,e^4+A\,a^2\,e^5+2\,B\,a\,b\,d^2\,e^3-2\,A\,a\,b\,d\,e^4-2\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3-B\,b^2\,d^3\,e^2+A\,b^2\,d^2\,e^3+2\,B\,b\,c\,d^4\,e-2\,A\,b\,c\,d^3\,e^2-B\,c^2\,d^5+A\,c^2\,d^4\,e\right)}{e^6}+\frac{B\,c^2\,x^5}{5\,e}","Not used",1,"x^3*((B*b^2 + 2*A*b*c + 2*B*a*c)/(3*e) - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/(3*e)) + x*((B*a^2 + 2*A*a*b)/e - (d*((A*b^2 + 2*A*a*c + 2*B*a*b)/e - (d*((B*b^2 + 2*A*b*c + 2*B*a*c)/e - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/e))/e))/e) + x^4*((A*c^2 + 2*B*b*c)/(4*e) - (B*c^2*d)/(4*e^2)) + x^2*((A*b^2 + 2*A*a*c + 2*B*a*b)/(2*e) - (d*((B*b^2 + 2*A*b*c + 2*B*a*c)/e - (d*((A*c^2 + 2*B*b*c)/e - (B*c^2*d)/e^2))/e))/(2*e)) + (log(d + e*x)*(A*a^2*e^5 - B*c^2*d^5 - B*a^2*d*e^4 + A*c^2*d^4*e + A*b^2*d^2*e^3 - B*b^2*d^3*e^2 - 2*A*a*b*d*e^4 + 2*B*b*c*d^4*e + 2*A*a*c*d^2*e^3 + 2*B*a*b*d^2*e^3 - 2*A*b*c*d^3*e^2 - 2*B*a*c*d^3*e^2))/e^6 + (B*c^2*x^5)/(5*e)","B"
2325,1,499,267,0.121386,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^2,x)","x\,\left(\frac{A\,b^2+2\,B\,a\,b+2\,A\,a\,c}{e^2}-\frac{d^2\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{e^2}+\frac{B\,c^2\,d^2}{e^4}\right)}{e}\right)+x^3\,\left(\frac{A\,c^2+2\,B\,b\,c}{3\,e^2}-\frac{2\,B\,c^2\,d}{3\,e^3}\right)-x^2\,\left(\frac{d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^2}-\frac{2\,B\,c^2\,d}{e^3}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{2\,e^2}+\frac{B\,c^2\,d^2}{2\,e^4}\right)-\frac{-B\,a^2\,d\,e^4+A\,a^2\,e^5+2\,B\,a\,b\,d^2\,e^3-2\,A\,a\,b\,d\,e^4-2\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3-B\,b^2\,d^3\,e^2+A\,b^2\,d^2\,e^3+2\,B\,b\,c\,d^4\,e-2\,A\,b\,c\,d^3\,e^2-B\,c^2\,d^5+A\,c^2\,d^4\,e}{e\,\left(x\,e^6+d\,e^5\right)}+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^2\,e^4-4\,B\,a\,b\,d\,e^3+2\,A\,a\,b\,e^4+6\,B\,a\,c\,d^2\,e^2-4\,A\,a\,c\,d\,e^3+3\,B\,b^2\,d^2\,e^2-2\,A\,b^2\,d\,e^3-8\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)}{e^6}+\frac{B\,c^2\,x^4}{4\,e^2}","Not used",1,"x*((A*b^2 + 2*A*a*c + 2*B*a*b)/e^2 - (d^2*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e^2 + (2*d*((2*d*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e - (B*b^2 + 2*A*b*c + 2*B*a*c)/e^2 + (B*c^2*d^2)/e^4))/e) + x^3*((A*c^2 + 2*B*b*c)/(3*e^2) - (2*B*c^2*d)/(3*e^3)) - x^2*((d*((A*c^2 + 2*B*b*c)/e^2 - (2*B*c^2*d)/e^3))/e - (B*b^2 + 2*A*b*c + 2*B*a*c)/(2*e^2) + (B*c^2*d^2)/(2*e^4)) - (A*a^2*e^5 - B*c^2*d^5 - B*a^2*d*e^4 + A*c^2*d^4*e + A*b^2*d^2*e^3 - B*b^2*d^3*e^2 - 2*A*a*b*d*e^4 + 2*B*b*c*d^4*e + 2*A*a*c*d^2*e^3 + 2*B*a*b*d^2*e^3 - 2*A*b*c*d^3*e^2 - 2*B*a*c*d^3*e^2)/(e*(d*e^5 + e^6*x)) + (log(d + e*x)*(B*a^2*e^4 + 5*B*c^2*d^4 + 2*A*a*b*e^4 - 2*A*b^2*d*e^3 - 4*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 - 4*A*a*c*d*e^3 - 4*B*a*b*d*e^3 - 8*B*b*c*d^3*e + 6*A*b*c*d^2*e^2 + 6*B*a*c*d^2*e^2))/e^6 + (B*c^2*x^4)/(4*e^2)","B"
2326,1,468,281,2.392310,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^3,x)","x^2\,\left(\frac{A\,c^2+2\,B\,b\,c}{2\,e^3}-\frac{3\,B\,c^2\,d}{2\,e^4}\right)-\frac{x\,\left(B\,a^2\,e^4-4\,B\,a\,b\,d\,e^3+2\,A\,a\,b\,e^4+6\,B\,a\,c\,d^2\,e^2-4\,A\,a\,c\,d\,e^3+3\,B\,b^2\,d^2\,e^2-2\,A\,b^2\,d\,e^3-8\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+5\,B\,c^2\,d^4-4\,A\,c^2\,d^3\,e\right)+\frac{B\,a^2\,d\,e^4+A\,a^2\,e^5-6\,B\,a\,b\,d^2\,e^3+2\,A\,a\,b\,d\,e^4+10\,B\,a\,c\,d^3\,e^2-6\,A\,a\,c\,d^2\,e^3+5\,B\,b^2\,d^3\,e^2-3\,A\,b^2\,d^2\,e^3-14\,B\,b\,c\,d^4\,e+10\,A\,b\,c\,d^3\,e^2+9\,B\,c^2\,d^5-7\,A\,c^2\,d^4\,e}{2\,e}}{d^2\,e^5+2\,d\,e^6\,x+e^7\,x^2}-x\,\left(\frac{3\,d\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^3}-\frac{3\,B\,c^2\,d}{e^4}\right)}{e}-\frac{B\,b^2+2\,A\,c\,b+2\,B\,a\,c}{e^3}+\frac{3\,B\,c^2\,d^2}{e^5}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-3\,B\,b^2\,d\,e^2+A\,b^2\,e^3+12\,B\,b\,c\,d^2\,e-6\,A\,b\,c\,d\,e^2+2\,B\,a\,b\,e^3-10\,B\,c^2\,d^3+6\,A\,c^2\,d^2\,e-6\,B\,a\,c\,d\,e^2+2\,A\,a\,c\,e^3\right)}{e^6}+\frac{B\,c^2\,x^3}{3\,e^3}","Not used",1,"x^2*((A*c^2 + 2*B*b*c)/(2*e^3) - (3*B*c^2*d)/(2*e^4)) - (x*(B*a^2*e^4 + 5*B*c^2*d^4 + 2*A*a*b*e^4 - 2*A*b^2*d*e^3 - 4*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 - 4*A*a*c*d*e^3 - 4*B*a*b*d*e^3 - 8*B*b*c*d^3*e + 6*A*b*c*d^2*e^2 + 6*B*a*c*d^2*e^2) + (A*a^2*e^5 + 9*B*c^2*d^5 + B*a^2*d*e^4 - 7*A*c^2*d^4*e - 3*A*b^2*d^2*e^3 + 5*B*b^2*d^3*e^2 + 2*A*a*b*d*e^4 - 14*B*b*c*d^4*e - 6*A*a*c*d^2*e^3 - 6*B*a*b*d^2*e^3 + 10*A*b*c*d^3*e^2 + 10*B*a*c*d^3*e^2)/(2*e))/(d^2*e^5 + e^7*x^2 + 2*d*e^6*x) - x*((3*d*((A*c^2 + 2*B*b*c)/e^3 - (3*B*c^2*d)/e^4))/e - (B*b^2 + 2*A*b*c + 2*B*a*c)/e^3 + (3*B*c^2*d^2)/e^5) + (log(d + e*x)*(A*b^2*e^3 - 10*B*c^2*d^3 + 2*A*a*c*e^3 + 2*B*a*b*e^3 + 6*A*c^2*d^2*e - 3*B*b^2*d*e^2 - 6*A*b*c*d*e^2 - 6*B*a*c*d*e^2 + 12*B*b*c*d^2*e))/e^6 + (B*c^2*x^3)/(3*e^3)","B"
2327,1,465,286,2.371212,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^4,x)","x\,\left(\frac{A\,c^2+2\,B\,b\,c}{e^4}-\frac{4\,B\,c^2\,d}{e^5}\right)-\frac{x^2\,\left(-3\,B\,b^2\,d\,e^3+A\,b^2\,e^4+12\,B\,b\,c\,d^2\,e^2-6\,A\,b\,c\,d\,e^3+2\,B\,a\,b\,e^4-10\,B\,c^2\,d^3\,e+6\,A\,c^2\,d^2\,e^2-6\,B\,a\,c\,d\,e^3+2\,A\,a\,c\,e^4\right)+x\,\left(\frac{B\,a^2\,e^4}{2}+2\,B\,a\,b\,d\,e^3+A\,a\,b\,e^4-9\,B\,a\,c\,d^2\,e^2+2\,A\,a\,c\,d\,e^3-\frac{9\,B\,b^2\,d^2\,e^2}{2}+A\,b^2\,d\,e^3+20\,B\,b\,c\,d^3\,e-9\,A\,b\,c\,d^2\,e^2-\frac{35\,B\,c^2\,d^4}{2}+10\,A\,c^2\,d^3\,e\right)+\frac{B\,a^2\,d\,e^4+2\,A\,a^2\,e^5+4\,B\,a\,b\,d^2\,e^3+2\,A\,a\,b\,d\,e^4-22\,B\,a\,c\,d^3\,e^2+4\,A\,a\,c\,d^2\,e^3-11\,B\,b^2\,d^3\,e^2+2\,A\,b^2\,d^2\,e^3+52\,B\,b\,c\,d^4\,e-22\,A\,b\,c\,d^3\,e^2-47\,B\,c^2\,d^5+26\,A\,c^2\,d^4\,e}{6\,e}}{d^3\,e^5+3\,d^2\,e^6\,x+3\,d\,e^7\,x^2+e^8\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(B\,b^2\,e^2-8\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2+10\,B\,c^2\,d^2-4\,A\,c^2\,d\,e+2\,B\,a\,c\,e^2\right)}{e^6}+\frac{B\,c^2\,x^2}{2\,e^4}","Not used",1,"x*((A*c^2 + 2*B*b*c)/e^4 - (4*B*c^2*d)/e^5) - (x^2*(A*b^2*e^4 + 2*A*a*c*e^4 + 2*B*a*b*e^4 - 3*B*b^2*d*e^3 - 10*B*c^2*d^3*e + 6*A*c^2*d^2*e^2 - 6*A*b*c*d*e^3 - 6*B*a*c*d*e^3 + 12*B*b*c*d^2*e^2) + x*((B*a^2*e^4)/2 - (35*B*c^2*d^4)/2 + A*a*b*e^4 + A*b^2*d*e^3 + 10*A*c^2*d^3*e - (9*B*b^2*d^2*e^2)/2 + 2*A*a*c*d*e^3 + 2*B*a*b*d*e^3 + 20*B*b*c*d^3*e - 9*A*b*c*d^2*e^2 - 9*B*a*c*d^2*e^2) + (2*A*a^2*e^5 - 47*B*c^2*d^5 + B*a^2*d*e^4 + 26*A*c^2*d^4*e + 2*A*b^2*d^2*e^3 - 11*B*b^2*d^3*e^2 + 2*A*a*b*d*e^4 + 52*B*b*c*d^4*e + 4*A*a*c*d^2*e^3 + 4*B*a*b*d^2*e^3 - 22*A*b*c*d^3*e^2 - 22*B*a*c*d^3*e^2)/(6*e))/(d^3*e^5 + e^8*x^3 + 3*d^2*e^6*x + 3*d*e^7*x^2) + (log(d + e*x)*(B*b^2*e^2 + 10*B*c^2*d^2 + 2*A*b*c*e^2 + 2*B*a*c*e^2 - 4*A*c^2*d*e - 8*B*b*c*d*e))/e^6 + (B*c^2*x^2)/(2*e^4)","B"
2328,1,475,289,2.417766,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^5,x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,c^2\,e-5\,B\,c^2\,d+2\,B\,b\,c\,e\right)}{e^6}-\frac{x^3\,\left(B\,b^2\,e^4-8\,B\,b\,c\,d\,e^3+2\,A\,b\,c\,e^4+10\,B\,c^2\,d^2\,e^2-4\,A\,c^2\,d\,e^3+2\,B\,a\,c\,e^4\right)+x^2\,\left(\frac{3\,B\,b^2\,d\,e^3}{2}+\frac{A\,b^2\,e^4}{2}-18\,B\,b\,c\,d^2\,e^2+3\,A\,b\,c\,d\,e^3+B\,a\,b\,e^4+25\,B\,c^2\,d^3\,e-9\,A\,c^2\,d^2\,e^2+3\,B\,a\,c\,d\,e^3+A\,a\,c\,e^4\right)+x\,\left(\frac{B\,a^2\,e^4}{3}+\frac{2\,B\,a\,b\,d\,e^3}{3}+\frac{2\,A\,a\,b\,e^4}{3}+2\,B\,a\,c\,d^2\,e^2+\frac{2\,A\,a\,c\,d\,e^3}{3}+B\,b^2\,d^2\,e^2+\frac{A\,b^2\,d\,e^3}{3}-\frac{44\,B\,b\,c\,d^3\,e}{3}+2\,A\,b\,c\,d^2\,e^2+\frac{65\,B\,c^2\,d^4}{3}-\frac{22\,A\,c^2\,d^3\,e}{3}\right)+\frac{B\,a^2\,d\,e^4+3\,A\,a^2\,e^5+2\,B\,a\,b\,d^2\,e^3+2\,A\,a\,b\,d\,e^4+6\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3+3\,B\,b^2\,d^3\,e^2+A\,b^2\,d^2\,e^3-50\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2+77\,B\,c^2\,d^5-25\,A\,c^2\,d^4\,e}{12\,e}}{d^4\,e^5+4\,d^3\,e^6\,x+6\,d^2\,e^7\,x^2+4\,d\,e^8\,x^3+e^9\,x^4}+\frac{B\,c^2\,x}{e^5}","Not used",1,"(log(d + e*x)*(A*c^2*e - 5*B*c^2*d + 2*B*b*c*e))/e^6 - (x^3*(B*b^2*e^4 + 2*A*b*c*e^4 + 2*B*a*c*e^4 - 4*A*c^2*d*e^3 + 10*B*c^2*d^2*e^2 - 8*B*b*c*d*e^3) + x^2*((A*b^2*e^4)/2 + A*a*c*e^4 + B*a*b*e^4 + (3*B*b^2*d*e^3)/2 + 25*B*c^2*d^3*e - 9*A*c^2*d^2*e^2 + 3*A*b*c*d*e^3 + 3*B*a*c*d*e^3 - 18*B*b*c*d^2*e^2) + x*((B*a^2*e^4)/3 + (65*B*c^2*d^4)/3 + (2*A*a*b*e^4)/3 + (A*b^2*d*e^3)/3 - (22*A*c^2*d^3*e)/3 + B*b^2*d^2*e^2 + (2*A*a*c*d*e^3)/3 + (2*B*a*b*d*e^3)/3 - (44*B*b*c*d^3*e)/3 + 2*A*b*c*d^2*e^2 + 2*B*a*c*d^2*e^2) + (3*A*a^2*e^5 + 77*B*c^2*d^5 + B*a^2*d*e^4 - 25*A*c^2*d^4*e + A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 + 2*A*a*b*d*e^4 - 50*B*b*c*d^4*e + 2*A*a*c*d^2*e^3 + 2*B*a*b*d^2*e^3 + 6*A*b*c*d^3*e^2 + 6*B*a*c*d^3*e^2)/(12*e))/(d^4*e^5 + e^9*x^4 + 4*d^3*e^6*x + 4*d*e^8*x^3 + 6*d^2*e^7*x^2) + (B*c^2*x)/e^5","B"
2329,1,483,297,2.503004,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^6,x)","\frac{B\,c^2\,\ln\left(d+e\,x\right)}{e^6}-\frac{\frac{3\,B\,a^2\,d\,e^4+12\,A\,a^2\,e^5+4\,B\,a\,b\,d^2\,e^3+6\,A\,a\,b\,d\,e^4+6\,B\,a\,c\,d^3\,e^2+4\,A\,a\,c\,d^2\,e^3+3\,B\,b^2\,d^3\,e^2+2\,A\,b^2\,d^2\,e^3+24\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2-137\,B\,c^2\,d^5+12\,A\,c^2\,d^4\,e}{60\,e^6}+\frac{x^3\,\left(B\,b^2\,e^2+8\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2-30\,B\,c^2\,d^2+4\,A\,c^2\,d\,e+2\,B\,a\,c\,e^2\right)}{2\,e^3}+\frac{x^2\,\left(3\,B\,b^2\,d\,e^2+2\,A\,b^2\,e^3+24\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+4\,B\,a\,b\,e^3-110\,B\,c^2\,d^3+12\,A\,c^2\,d^2\,e+6\,B\,a\,c\,d\,e^2+4\,A\,a\,c\,e^3\right)}{6\,e^4}+\frac{x\,\left(3\,B\,a^2\,e^4+4\,B\,a\,b\,d\,e^3+6\,A\,a\,b\,e^4+6\,B\,a\,c\,d^2\,e^2+4\,A\,a\,c\,d\,e^3+3\,B\,b^2\,d^2\,e^2+2\,A\,b^2\,d\,e^3+24\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2-125\,B\,c^2\,d^4+12\,A\,c^2\,d^3\,e\right)}{12\,e^5}+\frac{c\,x^4\,\left(A\,c\,e+2\,B\,b\,e-5\,B\,c\,d\right)}{e^2}}{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,"(B*c^2*log(d + e*x))/e^6 - ((12*A*a^2*e^5 - 137*B*c^2*d^5 + 3*B*a^2*d*e^4 + 12*A*c^2*d^4*e + 2*A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 + 6*A*a*b*d*e^4 + 24*B*b*c*d^4*e + 4*A*a*c*d^2*e^3 + 4*B*a*b*d^2*e^3 + 6*A*b*c*d^3*e^2 + 6*B*a*c*d^3*e^2)/(60*e^6) + (x^3*(B*b^2*e^2 - 30*B*c^2*d^2 + 2*A*b*c*e^2 + 2*B*a*c*e^2 + 4*A*c^2*d*e + 8*B*b*c*d*e))/(2*e^3) + (x^2*(2*A*b^2*e^3 - 110*B*c^2*d^3 + 4*A*a*c*e^3 + 4*B*a*b*e^3 + 12*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 6*B*a*c*d*e^2 + 24*B*b*c*d^2*e))/(6*e^4) + (x*(3*B*a^2*e^4 - 125*B*c^2*d^4 + 6*A*a*b*e^4 + 2*A*b^2*d*e^3 + 12*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 + 4*A*a*c*d*e^3 + 4*B*a*b*d*e^3 + 24*B*b*c*d^3*e + 6*A*b*c*d^2*e^2 + 6*B*a*c*d^2*e^2))/(12*e^5) + (c*x^4*(A*c*e + 2*B*b*e - 5*B*c*d))/e^2)/(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"
2330,1,485,302,0.155625,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^7,x)","-\frac{\frac{2\,B\,a^2\,d\,e^4+10\,A\,a^2\,e^5+2\,B\,a\,b\,d^2\,e^3+4\,A\,a\,b\,d\,e^4+2\,B\,a\,c\,d^3\,e^2+2\,A\,a\,c\,d^2\,e^3+B\,b^2\,d^3\,e^2+A\,b^2\,d^2\,e^3+4\,B\,b\,c\,d^4\,e+2\,A\,b\,c\,d^3\,e^2+10\,B\,c^2\,d^5+2\,A\,c^2\,d^4\,e}{60\,e^6}+\frac{x^3\,\left(B\,b^2\,e^2+4\,B\,b\,c\,d\,e+2\,A\,b\,c\,e^2+10\,B\,c^2\,d^2+2\,A\,c^2\,d\,e+2\,B\,a\,c\,e^2\right)}{3\,e^3}+\frac{x^2\,\left(B\,b^2\,d\,e^2+A\,b^2\,e^3+4\,B\,b\,c\,d^2\,e+2\,A\,b\,c\,d\,e^2+2\,B\,a\,b\,e^3+10\,B\,c^2\,d^3+2\,A\,c^2\,d^2\,e+2\,B\,a\,c\,d\,e^2+2\,A\,a\,c\,e^3\right)}{4\,e^4}+\frac{x\,\left(2\,B\,a^2\,e^4+2\,B\,a\,b\,d\,e^3+4\,A\,a\,b\,e^4+2\,B\,a\,c\,d^2\,e^2+2\,A\,a\,c\,d\,e^3+B\,b^2\,d^2\,e^2+A\,b^2\,d\,e^3+4\,B\,b\,c\,d^3\,e+2\,A\,b\,c\,d^2\,e^2+10\,B\,c^2\,d^4+2\,A\,c^2\,d^3\,e\right)}{10\,e^5}+\frac{c\,x^4\,\left(A\,c\,e+2\,B\,b\,e+5\,B\,c\,d\right)}{2\,e^2}+\frac{B\,c^2\,x^5}{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^5 + 10*B*c^2*d^5 + 2*B*a^2*d*e^4 + 2*A*c^2*d^4*e + A*b^2*d^2*e^3 + B*b^2*d^3*e^2 + 4*A*a*b*d*e^4 + 4*B*b*c*d^4*e + 2*A*a*c*d^2*e^3 + 2*B*a*b*d^2*e^3 + 2*A*b*c*d^3*e^2 + 2*B*a*c*d^3*e^2)/(60*e^6) + (x^3*(B*b^2*e^2 + 10*B*c^2*d^2 + 2*A*b*c*e^2 + 2*B*a*c*e^2 + 2*A*c^2*d*e + 4*B*b*c*d*e))/(3*e^3) + (x^2*(A*b^2*e^3 + 10*B*c^2*d^3 + 2*A*a*c*e^3 + 2*B*a*b*e^3 + 2*A*c^2*d^2*e + B*b^2*d*e^2 + 2*A*b*c*d*e^2 + 2*B*a*c*d*e^2 + 4*B*b*c*d^2*e))/(4*e^4) + (x*(2*B*a^2*e^4 + 10*B*c^2*d^4 + 4*A*a*b*e^4 + A*b^2*d*e^3 + 2*A*c^2*d^3*e + B*b^2*d^2*e^2 + 2*A*a*c*d*e^3 + 2*B*a*b*d*e^3 + 4*B*b*c*d^3*e + 2*A*b*c*d^2*e^2 + 2*B*a*c*d^2*e^2))/(10*e^5) + (c*x^4*(A*c*e + 2*B*b*e + 5*B*c*d))/(2*e^2) + (B*c^2*x^5)/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"
2331,1,505,304,0.172791,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^8,x)","-\frac{\frac{10\,B\,a^2\,d\,e^4+60\,A\,a^2\,e^5+8\,B\,a\,b\,d^2\,e^3+20\,A\,a\,b\,d\,e^4+6\,B\,a\,c\,d^3\,e^2+8\,A\,a\,c\,d^2\,e^3+3\,B\,b^2\,d^3\,e^2+4\,A\,b^2\,d^2\,e^3+8\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2+10\,B\,c^2\,d^5+4\,A\,c^2\,d^4\,e}{420\,e^6}+\frac{x^3\,\left(3\,B\,b^2\,e^2+8\,B\,b\,c\,d\,e+6\,A\,b\,c\,e^2+10\,B\,c^2\,d^2+4\,A\,c^2\,d\,e+6\,B\,a\,c\,e^2\right)}{12\,e^3}+\frac{x^2\,\left(3\,B\,b^2\,d\,e^2+4\,A\,b^2\,e^3+8\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+8\,B\,a\,b\,e^3+10\,B\,c^2\,d^3+4\,A\,c^2\,d^2\,e+6\,B\,a\,c\,d\,e^2+8\,A\,a\,c\,e^3\right)}{20\,e^4}+\frac{x\,\left(10\,B\,a^2\,e^4+8\,B\,a\,b\,d\,e^3+20\,A\,a\,b\,e^4+6\,B\,a\,c\,d^2\,e^2+8\,A\,a\,c\,d\,e^3+3\,B\,b^2\,d^2\,e^2+4\,A\,b^2\,d\,e^3+8\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+10\,B\,c^2\,d^4+4\,A\,c^2\,d^3\,e\right)}{60\,e^5}+\frac{c\,x^4\,\left(2\,A\,c\,e+4\,B\,b\,e+5\,B\,c\,d\right)}{6\,e^2}+\frac{B\,c^2\,x^5}{2\,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^5 + 10*B*c^2*d^5 + 10*B*a^2*d*e^4 + 4*A*c^2*d^4*e + 4*A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 + 20*A*a*b*d*e^4 + 8*B*b*c*d^4*e + 8*A*a*c*d^2*e^3 + 8*B*a*b*d^2*e^3 + 6*A*b*c*d^3*e^2 + 6*B*a*c*d^3*e^2)/(420*e^6) + (x^3*(3*B*b^2*e^2 + 10*B*c^2*d^2 + 6*A*b*c*e^2 + 6*B*a*c*e^2 + 4*A*c^2*d*e + 8*B*b*c*d*e))/(12*e^3) + (x^2*(4*A*b^2*e^3 + 10*B*c^2*d^3 + 8*A*a*c*e^3 + 8*B*a*b*e^3 + 4*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 6*B*a*c*d*e^2 + 8*B*b*c*d^2*e))/(20*e^4) + (x*(10*B*a^2*e^4 + 10*B*c^2*d^4 + 20*A*a*b*e^4 + 4*A*b^2*d*e^3 + 4*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 + 8*A*a*c*d*e^3 + 8*B*a*b*d*e^3 + 8*B*b*c*d^3*e + 6*A*b*c*d^2*e^2 + 6*B*a*c*d^2*e^2))/(60*e^5) + (c*x^4*(2*A*c*e + 4*B*b*e + 5*B*c*d))/(6*e^2) + (B*c^2*x^5)/(2*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"
2332,1,516,304,2.432764,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^2)/(d + e*x)^9,x)","-\frac{\frac{15\,B\,a^2\,d\,e^4+105\,A\,a^2\,e^5+10\,B\,a\,b\,d^2\,e^3+30\,A\,a\,b\,d\,e^4+6\,B\,a\,c\,d^3\,e^2+10\,A\,a\,c\,d^2\,e^3+3\,B\,b^2\,d^3\,e^2+5\,A\,b^2\,d^2\,e^3+6\,B\,b\,c\,d^4\,e+6\,A\,b\,c\,d^3\,e^2+5\,B\,c^2\,d^5+3\,A\,c^2\,d^4\,e}{840\,e^6}+\frac{x^3\,\left(3\,B\,b^2\,e^2+6\,B\,b\,c\,d\,e+6\,A\,b\,c\,e^2+5\,B\,c^2\,d^2+3\,A\,c^2\,d\,e+6\,B\,a\,c\,e^2\right)}{15\,e^3}+\frac{x^2\,\left(3\,B\,b^2\,d\,e^2+5\,A\,b^2\,e^3+6\,B\,b\,c\,d^2\,e+6\,A\,b\,c\,d\,e^2+10\,B\,a\,b\,e^3+5\,B\,c^2\,d^3+3\,A\,c^2\,d^2\,e+6\,B\,a\,c\,d\,e^2+10\,A\,a\,c\,e^3\right)}{30\,e^4}+\frac{x\,\left(15\,B\,a^2\,e^4+10\,B\,a\,b\,d\,e^3+30\,A\,a\,b\,e^4+6\,B\,a\,c\,d^2\,e^2+10\,A\,a\,c\,d\,e^3+3\,B\,b^2\,d^2\,e^2+5\,A\,b^2\,d\,e^3+6\,B\,b\,c\,d^3\,e+6\,A\,b\,c\,d^2\,e^2+5\,B\,c^2\,d^4+3\,A\,c^2\,d^3\,e\right)}{105\,e^5}+\frac{c\,x^4\,\left(3\,A\,c\,e+6\,B\,b\,e+5\,B\,c\,d\right)}{12\,e^2}+\frac{B\,c^2\,x^5}{3\,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,"-((105*A*a^2*e^5 + 5*B*c^2*d^5 + 15*B*a^2*d*e^4 + 3*A*c^2*d^4*e + 5*A*b^2*d^2*e^3 + 3*B*b^2*d^3*e^2 + 30*A*a*b*d*e^4 + 6*B*b*c*d^4*e + 10*A*a*c*d^2*e^3 + 10*B*a*b*d^2*e^3 + 6*A*b*c*d^3*e^2 + 6*B*a*c*d^3*e^2)/(840*e^6) + (x^3*(3*B*b^2*e^2 + 5*B*c^2*d^2 + 6*A*b*c*e^2 + 6*B*a*c*e^2 + 3*A*c^2*d*e + 6*B*b*c*d*e))/(15*e^3) + (x^2*(5*A*b^2*e^3 + 5*B*c^2*d^3 + 10*A*a*c*e^3 + 10*B*a*b*e^3 + 3*A*c^2*d^2*e + 3*B*b^2*d*e^2 + 6*A*b*c*d*e^2 + 6*B*a*c*d*e^2 + 6*B*b*c*d^2*e))/(30*e^4) + (x*(15*B*a^2*e^4 + 5*B*c^2*d^4 + 30*A*a*b*e^4 + 5*A*b^2*d*e^3 + 3*A*c^2*d^3*e + 3*B*b^2*d^2*e^2 + 10*A*a*c*d*e^3 + 10*B*a*b*d*e^3 + 6*B*b*c*d^3*e + 6*A*b*c*d^2*e^2 + 6*B*a*c*d^2*e^2))/(105*e^5) + (c*x^4*(3*A*c*e + 6*B*b*e + 5*B*c*d))/(12*e^2) + (B*c^2*x^5)/(3*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"
2333,1,1348,555,2.655948,"\text{Not used}","int((A + B*x)*(d + e*x)^5*(a + b*x + c*x^2)^3,x)","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^2\,c\,d^2\,e^3}{7}+\frac{15\,A\,a^2\,c\,d\,e^4}{7}+\frac{30\,B\,a\,b^2\,d^2\,e^3}{7}+\frac{15\,A\,a\,b^2\,d\,e^4}{7}+\frac{60\,B\,a\,b\,c\,d^3\,e^2}{7}+\frac{60\,A\,a\,b\,c\,d^2\,e^3}{7}+\frac{15\,B\,a\,c^2\,d^4\,e}{7}+\frac{30\,A\,a\,c^2\,d^3\,e^2}{7}+\frac{10\,B\,b^3\,d^3\,e^2}{7}+\frac{10\,A\,b^3\,d^2\,e^3}{7}+\frac{15\,B\,b^2\,c\,d^4\,e}{7}+\frac{30\,A\,b^2\,c\,d^3\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^5}{7}+\frac{15\,A\,b\,c^2\,d^4\,e}{7}+\frac{A\,c^3\,d^5}{7}\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\,c\,a^2\,d^5}{4}+\frac{15\,A\,c\,a^2\,d^4\,e}{4}+\frac{3\,B\,a\,b^2\,d^5}{4}+\frac{15\,A\,a\,b^2\,d^4\,e}{4}+\frac{3\,A\,c\,a\,b\,d^5}{2}+\frac{A\,b^3\,d^5}{4}\right)+x^{10}\,\left(\frac{B\,b^3\,e^5}{10}+\frac{3\,B\,b^2\,c\,d\,e^4}{2}+\frac{3\,A\,b^2\,c\,e^5}{10}+3\,B\,b\,c^2\,d^2\,e^3+\frac{3\,A\,b\,c^2\,d\,e^4}{2}+\frac{3\,B\,a\,b\,c\,e^5}{5}+B\,c^3\,d^3\,e^2+A\,c^3\,d^2\,e^3+\frac{3\,B\,a\,c^2\,d\,e^4}{2}+\frac{3\,A\,a\,c^2\,e^5}{10}\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^2\,c\,d^4\,e+6\,A\,a^2\,c\,d^3\,e^2+3\,B\,a\,b^2\,d^4\,e+6\,A\,a\,b^2\,d^3\,e^2+\frac{6\,B\,a\,b\,c\,d^5}{5}+6\,A\,a\,b\,c\,d^4\,e+\frac{3\,A\,a\,c^2\,d^5}{5}+\frac{B\,b^3\,d^5}{5}+A\,b^3\,d^4\,e+\frac{3\,A\,b^2\,c\,d^5}{5}\right)+x^9\,\left(\frac{B\,a^2\,c\,e^5}{3}+\frac{B\,a\,b^2\,e^5}{3}+\frac{10\,B\,a\,b\,c\,d\,e^4}{3}+\frac{2\,A\,a\,b\,c\,e^5}{3}+\frac{10\,B\,a\,c^2\,d^2\,e^3}{3}+\frac{5\,A\,a\,c^2\,d\,e^4}{3}+\frac{5\,B\,b^3\,d\,e^4}{9}+\frac{A\,b^3\,e^5}{9}+\frac{10\,B\,b^2\,c\,d^2\,e^3}{3}+\frac{5\,A\,b^2\,c\,d\,e^4}{3}+\frac{10\,B\,b\,c^2\,d^3\,e^2}{3}+\frac{10\,A\,b\,c^2\,d^2\,e^3}{3}+\frac{5\,B\,c^3\,d^4\,e}{9}+\frac{10\,A\,c^3\,d^3\,e^2}{9}\right)+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\,c\,a^2\,d^5+A\,a\,b^2\,d^5\right)+x^{11}\,\left(\frac{3\,B\,b^2\,c\,e^5}{11}+\frac{15\,B\,b\,c^2\,d\,e^4}{11}+\frac{3\,A\,b\,c^2\,e^5}{11}+\frac{10\,B\,c^3\,d^2\,e^3}{11}+\frac{5\,A\,c^3\,d\,e^4}{11}+\frac{3\,B\,a\,c^2\,e^5}{11}\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^2\,c\,d^3\,e^2+5\,A\,a^2\,c\,d^2\,e^3+5\,B\,a\,b^2\,d^3\,e^2+5\,A\,a\,b^2\,d^2\,e^3+5\,B\,a\,b\,c\,d^4\,e+10\,A\,a\,b\,c\,d^3\,e^2+\frac{B\,a\,c^2\,d^5}{2}+\frac{5\,A\,a\,c^2\,d^4\,e}{2}+\frac{5\,B\,b^3\,d^4\,e}{6}+\frac{5\,A\,b^3\,d^3\,e^2}{3}+\frac{B\,b^2\,c\,d^5}{2}+\frac{5\,A\,b^2\,c\,d^4\,e}{2}+\frac{A\,b\,c^2\,d^5}{2}\right)+x^8\,\left(\frac{3\,B\,a^2\,b\,e^5}{8}+\frac{15\,B\,a^2\,c\,d\,e^4}{8}+\frac{3\,A\,a^2\,c\,e^5}{8}+\frac{15\,B\,a\,b^2\,d\,e^4}{8}+\frac{3\,A\,a\,b^2\,e^5}{8}+\frac{15\,B\,a\,b\,c\,d^2\,e^3}{2}+\frac{15\,A\,a\,b\,c\,d\,e^4}{4}+\frac{15\,B\,a\,c^2\,d^3\,e^2}{4}+\frac{15\,A\,a\,c^2\,d^2\,e^3}{4}+\frac{5\,B\,b^3\,d^2\,e^3}{4}+\frac{5\,A\,b^3\,d\,e^4}{8}+\frac{15\,B\,b^2\,c\,d^3\,e^2}{4}+\frac{15\,A\,b^2\,c\,d^2\,e^3}{4}+\frac{15\,B\,b\,c^2\,d^4\,e}{8}+\frac{15\,A\,b\,c^2\,d^3\,e^2}{4}+\frac{B\,c^3\,d^5}{8}+\frac{5\,A\,c^3\,d^4\,e}{8}\right)+\frac{a^2\,d^4\,x^2\,\left(5\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{c^2\,e^4\,x^{12}\,\left(A\,c\,e+3\,B\,b\,e+5\,B\,c\,d\right)}{12}+A\,a^3\,d^5\,x+\frac{B\,c^3\,e^5\,x^{13}}{13}","Not used",1,"x^7*((A*c^3*d^5)/7 + (B*a^3*e^5)/7 + (3*A*a^2*b*e^5)/7 + (3*B*b*c^2*d^5)/7 + (10*A*b^3*d^2*e^3)/7 + (10*B*b^3*d^3*e^2)/7 + (30*A*a*c^2*d^3*e^2)/7 + (30*B*a*b^2*d^2*e^3)/7 + (30*A*b^2*c*d^3*e^2)/7 + (30*B*a^2*c*d^2*e^3)/7 + (15*A*a*b^2*d*e^4)/7 + (15*A*a^2*c*d*e^4)/7 + (15*B*a^2*b*d*e^4)/7 + (15*A*b*c^2*d^4*e)/7 + (15*B*a*c^2*d^4*e)/7 + (15*B*b^2*c*d^4*e)/7 + (60*A*a*b*c*d^2*e^3)/7 + (60*B*a*b*c*d^3*e^2)/7) + x^4*((A*b^3*d^5)/4 + (3*B*a*b^2*d^5)/4 + (3*B*a^2*c*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 + (3*A*a*b*c*d^5)/2 + (15*A*a*b^2*d^4*e)/4 + (15*A*a^2*c*d^4*e)/4 + (15*B*a^2*b*d^4*e)/4) + x^10*((B*b^3*e^5)/10 + (3*A*a*c^2*e^5)/10 + (3*A*b^2*c*e^5)/10 + A*c^3*d^2*e^3 + B*c^3*d^3*e^2 + 3*B*b*c^2*d^2*e^3 + (3*B*a*b*c*e^5)/5 + (3*A*b*c^2*d*e^4)/2 + (3*B*a*c^2*d*e^4)/2 + (3*B*b^2*c*d*e^4)/2) + x^5*((B*b^3*d^5)/5 + (3*A*a*c^2*d^5)/5 + (3*A*b^2*c*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*A*a^2*c*d^3*e^2 + 6*B*a^2*b*d^3*e^2 + (6*B*a*b*c*d^5)/5 + 3*B*a*b^2*d^4*e + 3*B*a^2*c*d^4*e + 6*A*a*b*c*d^4*e) + x^9*((A*b^3*e^5)/9 + (B*a*b^2*e^5)/3 + (B*a^2*c*e^5)/3 + (5*B*b^3*d*e^4)/9 + (5*B*c^3*d^4*e)/9 + (10*A*c^3*d^3*e^2)/9 + (10*A*b*c^2*d^2*e^3)/3 + (10*B*a*c^2*d^2*e^3)/3 + (10*B*b*c^2*d^3*e^2)/3 + (10*B*b^2*c*d^2*e^3)/3 + (2*A*a*b*c*e^5)/3 + (5*A*a*c^2*d*e^4)/3 + (5*A*b^2*c*d*e^4)/3 + (10*B*a*b*c*d*e^4)/3) + x^3*(A*a*b^2*d^5 + A*a^2*c*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^11*((3*A*b*c^2*e^5)/11 + (3*B*a*c^2*e^5)/11 + (3*B*b^2*c*e^5)/11 + (5*A*c^3*d*e^4)/11 + (10*B*c^3*d^2*e^3)/11 + (15*B*b*c^2*d*e^4)/11) + x^6*((A*a^3*e^5)/6 + (A*b*c^2*d^5)/2 + (B*a*c^2*d^5)/2 + (B*b^2*c*d^5)/2 + (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*A*a^2*c*d^2*e^3 + 5*B*a*b^2*d^3*e^2 + 5*B*a^2*b*d^2*e^3 + 5*B*a^2*c*d^3*e^2 + (5*A*a^2*b*d*e^4)/2 + (5*A*a*c^2*d^4*e)/2 + (5*A*b^2*c*d^4*e)/2 + 10*A*a*b*c*d^3*e^2 + 5*B*a*b*c*d^4*e) + x^8*((B*c^3*d^5)/8 + (3*A*a*b^2*e^5)/8 + (3*A*a^2*c*e^5)/8 + (3*B*a^2*b*e^5)/8 + (5*A*b^3*d*e^4)/8 + (5*A*c^3*d^4*e)/8 + (5*B*b^3*d^2*e^3)/4 + (15*A*a*c^2*d^2*e^3)/4 + (15*A*b*c^2*d^3*e^2)/4 + (15*A*b^2*c*d^2*e^3)/4 + (15*B*a*c^2*d^3*e^2)/4 + (15*B*b^2*c*d^3*e^2)/4 + (15*B*a*b^2*d*e^4)/8 + (15*B*a^2*c*d*e^4)/8 + (15*B*b*c^2*d^4*e)/8 + (15*B*a*b*c*d^2*e^3)/2 + (15*A*a*b*c*d*e^4)/4) + (a^2*d^4*x^2*(5*A*a*e + 3*A*b*d + B*a*d))/2 + (c^2*e^4*x^12*(A*c*e + 3*B*b*e + 5*B*c*d))/12 + A*a^3*d^5*x + (B*c^3*e^5*x^13)/13","B"
2334,1,1093,555,0.292853,"\text{Not used}","int((A + B*x)*(d + e*x)^4*(a + b*x + c*x^2)^3,x)","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^2\,c\,d^3\,e}{5}+\frac{18\,A\,a^2\,c\,d^2\,e^2}{5}+\frac{12\,B\,a\,b^2\,d^3\,e}{5}+\frac{18\,A\,a\,b^2\,d^2\,e^2}{5}+\frac{6\,B\,a\,b\,c\,d^4}{5}+\frac{24\,A\,a\,b\,c\,d^3\,e}{5}+\frac{3\,A\,a\,c^2\,d^4}{5}+\frac{B\,b^3\,d^4}{5}+\frac{4\,A\,b^3\,d^3\,e}{5}+\frac{3\,A\,b^2\,c\,d^4}{5}\right)+x^8\,\left(\frac{3\,B\,a^2\,c\,e^4}{8}+\frac{3\,B\,a\,b^2\,e^4}{8}+3\,B\,a\,b\,c\,d\,e^3+\frac{3\,A\,a\,b\,c\,e^4}{4}+\frac{9\,B\,a\,c^2\,d^2\,e^2}{4}+\frac{3\,A\,a\,c^2\,d\,e^3}{2}+\frac{B\,b^3\,d\,e^3}{2}+\frac{A\,b^3\,e^4}{8}+\frac{9\,B\,b^2\,c\,d^2\,e^2}{4}+\frac{3\,A\,b^2\,c\,d\,e^3}{2}+\frac{3\,B\,b\,c^2\,d^3\,e}{2}+\frac{9\,A\,b\,c^2\,d^2\,e^2}{4}+\frac{B\,c^3\,d^4}{8}+\frac{A\,c^3\,d^3\,e}{2}\right)+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\,c\,a^2\,d^4+A\,a\,b^2\,d^4\right)+x^{10}\,\left(\frac{3\,B\,b^2\,c\,e^4}{10}+\frac{6\,B\,b\,c^2\,d\,e^3}{5}+\frac{3\,A\,b\,c^2\,e^4}{10}+\frac{3\,B\,c^3\,d^2\,e^2}{5}+\frac{2\,A\,c^3\,d\,e^3}{5}+\frac{3\,B\,a\,c^2\,e^4}{10}\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^2\,c\,d^2\,e^2+2\,A\,a^2\,c\,d\,e^3+3\,B\,a\,b^2\,d^2\,e^2+2\,A\,a\,b^2\,d\,e^3+4\,B\,a\,b\,c\,d^3\,e+6\,A\,a\,b\,c\,d^2\,e^2+\frac{B\,a\,c^2\,d^4}{2}+2\,A\,a\,c^2\,d^3\,e+\frac{2\,B\,b^3\,d^3\,e}{3}+A\,b^3\,d^2\,e^2+\frac{B\,b^2\,c\,d^4}{2}+2\,A\,b^2\,c\,d^3\,e+\frac{A\,b\,c^2\,d^4}{2}\right)+x^7\,\left(\frac{3\,B\,a^2\,b\,e^4}{7}+\frac{12\,B\,a^2\,c\,d\,e^3}{7}+\frac{3\,A\,a^2\,c\,e^4}{7}+\frac{12\,B\,a\,b^2\,d\,e^3}{7}+\frac{3\,A\,a\,b^2\,e^4}{7}+\frac{36\,B\,a\,b\,c\,d^2\,e^2}{7}+\frac{24\,A\,a\,b\,c\,d\,e^3}{7}+\frac{12\,B\,a\,c^2\,d^3\,e}{7}+\frac{18\,A\,a\,c^2\,d^2\,e^2}{7}+\frac{6\,B\,b^3\,d^2\,e^2}{7}+\frac{4\,A\,b^3\,d\,e^3}{7}+\frac{12\,B\,b^2\,c\,d^3\,e}{7}+\frac{18\,A\,b^2\,c\,d^2\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^4}{7}+\frac{12\,A\,b\,c^2\,d^3\,e}{7}+\frac{A\,c^3\,d^4}{7}\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\,c\,a^2\,d^4}{4}+3\,A\,c\,a^2\,d^3\,e+\frac{3\,B\,a\,b^2\,d^4}{4}+3\,A\,a\,b^2\,d^3\,e+\frac{3\,A\,c\,a\,b\,d^4}{2}+\frac{A\,b^3\,d^4}{4}\right)+x^9\,\left(\frac{B\,b^3\,e^4}{9}+\frac{4\,B\,b^2\,c\,d\,e^3}{3}+\frac{A\,b^2\,c\,e^4}{3}+2\,B\,b\,c^2\,d^2\,e^2+\frac{4\,A\,b\,c^2\,d\,e^3}{3}+\frac{2\,B\,a\,b\,c\,e^4}{3}+\frac{4\,B\,c^3\,d^3\,e}{9}+\frac{2\,A\,c^3\,d^2\,e^2}{3}+\frac{4\,B\,a\,c^2\,d\,e^3}{3}+\frac{A\,a\,c^2\,e^4}{3}\right)+\frac{a^2\,d^3\,x^2\,\left(4\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{c^2\,e^3\,x^{11}\,\left(A\,c\,e+3\,B\,b\,e+4\,B\,c\,d\right)}{11}+A\,a^3\,d^4\,x+\frac{B\,c^3\,e^4\,x^{12}}{12}","Not used",1,"x^5*((A*a^3*e^4)/5 + (B*b^3*d^4)/5 + (3*A*a*c^2*d^4)/5 + (3*A*b^2*c*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*A*a^2*c*d^2*e^2)/5 + (18*B*a^2*b*d^2*e^2)/5 + (6*B*a*b*c*d^4)/5 + (12*A*a^2*b*d*e^3)/5 + (12*B*a*b^2*d^3*e)/5 + (12*B*a^2*c*d^3*e)/5 + (24*A*a*b*c*d^3*e)/5) + x^8*((A*b^3*e^4)/8 + (B*c^3*d^4)/8 + (3*B*a*b^2*e^4)/8 + (3*B*a^2*c*e^4)/8 + (A*c^3*d^3*e)/2 + (B*b^3*d*e^3)/2 + (9*A*b*c^2*d^2*e^2)/4 + (9*B*a*c^2*d^2*e^2)/4 + (9*B*b^2*c*d^2*e^2)/4 + (3*A*a*b*c*e^4)/4 + (3*A*a*c^2*d*e^3)/2 + (3*A*b^2*c*d*e^3)/2 + (3*B*b*c^2*d^3*e)/2 + 3*B*a*b*c*d*e^3) + x^3*(A*a*b^2*d^4 + A*a^2*c*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^10*((3*A*b*c^2*e^4)/10 + (3*B*a*c^2*e^4)/10 + (3*B*b^2*c*e^4)/10 + (2*A*c^3*d*e^3)/5 + (3*B*c^3*d^2*e^2)/5 + (6*B*b*c^2*d*e^3)/5) + x^6*((B*a^3*e^4)/6 + (A*a^2*b*e^4)/2 + (A*b*c^2*d^4)/2 + (B*a*c^2*d^4)/2 + (B*b^2*c*d^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 + 3*B*a^2*c*d^2*e^2 + 2*A*a*b^2*d*e^3 + 2*A*a*c^2*d^3*e + 2*A*a^2*c*d*e^3 + 2*B*a^2*b*d*e^3 + 2*A*b^2*c*d^3*e + 6*A*a*b*c*d^2*e^2 + 4*B*a*b*c*d^3*e) + x^7*((A*c^3*d^4)/7 + (3*A*a*b^2*e^4)/7 + (3*A*a^2*c*e^4)/7 + (3*B*a^2*b*e^4)/7 + (3*B*b*c^2*d^4)/7 + (4*A*b^3*d*e^3)/7 + (6*B*b^3*d^2*e^2)/7 + (18*A*a*c^2*d^2*e^2)/7 + (18*A*b^2*c*d^2*e^2)/7 + (12*B*a*b^2*d*e^3)/7 + (12*A*b*c^2*d^3*e)/7 + (12*B*a*c^2*d^3*e)/7 + (12*B*a^2*c*d*e^3)/7 + (12*B*b^2*c*d^3*e)/7 + (36*B*a*b*c*d^2*e^2)/7 + (24*A*a*b*c*d*e^3)/7) + x^4*((A*b^3*d^4)/4 + (3*B*a*b^2*d^4)/4 + (3*B*a^2*c*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*c*d^4)/2 + 3*A*a*b^2*d^3*e + 3*A*a^2*c*d^3*e + 3*B*a^2*b*d^3*e) + x^9*((B*b^3*e^4)/9 + (A*a*c^2*e^4)/3 + (A*b^2*c*e^4)/3 + (4*B*c^3*d^3*e)/9 + (2*A*c^3*d^2*e^2)/3 + 2*B*b*c^2*d^2*e^2 + (2*B*a*b*c*e^4)/3 + (4*A*b*c^2*d*e^3)/3 + (4*B*a*c^2*d*e^3)/3 + (4*B*b^2*c*d*e^3)/3) + (a^2*d^3*x^2*(4*A*a*e + 3*A*b*d + B*a*d))/2 + (c^2*e^3*x^11*(A*c*e + 3*B*b*e + 4*B*c*d))/11 + A*a^3*d^4*x + (B*c^3*e^4*x^12)/12","B"
2335,1,835,555,0.217163,"\text{Not used}","int((A + B*x)*(d + e*x)^3*(a + b*x + c*x^2)^3,x)","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^2\,c\,d^2\,e}{5}+\frac{9\,A\,a^2\,c\,d\,e^2}{5}+\frac{9\,B\,a\,b^2\,d^2\,e}{5}+\frac{9\,A\,a\,b^2\,d\,e^2}{5}+\frac{6\,B\,a\,b\,c\,d^3}{5}+\frac{18\,A\,a\,b\,c\,d^2\,e}{5}+\frac{3\,A\,a\,c^2\,d^3}{5}+\frac{B\,b^3\,d^3}{5}+\frac{3\,A\,b^3\,d^2\,e}{5}+\frac{3\,A\,b^2\,c\,d^3}{5}\right)+x^7\,\left(\frac{3\,B\,a^2\,c\,e^3}{7}+\frac{3\,B\,a\,b^2\,e^3}{7}+\frac{18\,B\,a\,b\,c\,d\,e^2}{7}+\frac{6\,A\,a\,b\,c\,e^3}{7}+\frac{9\,B\,a\,c^2\,d^2\,e}{7}+\frac{9\,A\,a\,c^2\,d\,e^2}{7}+\frac{3\,B\,b^3\,d\,e^2}{7}+\frac{A\,b^3\,e^3}{7}+\frac{9\,B\,b^2\,c\,d^2\,e}{7}+\frac{9\,A\,b^2\,c\,d\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^3}{7}+\frac{9\,A\,b\,c^2\,d^2\,e}{7}+\frac{A\,c^3\,d^3}{7}\right)+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\,c\,a^2\,d^3+A\,a\,b^2\,d^3\right)+x^9\,\left(\frac{B\,b^2\,c\,e^3}{3}+B\,b\,c^2\,d\,e^2+\frac{A\,b\,c^2\,e^3}{3}+\frac{B\,c^3\,d^2\,e}{3}+\frac{A\,c^3\,d\,e^2}{3}+\frac{B\,a\,c^2\,e^3}{3}\right)+x^6\,\left(\frac{B\,a^2\,b\,e^3}{2}+\frac{3\,B\,a^2\,c\,d\,e^2}{2}+\frac{A\,a^2\,c\,e^3}{2}+\frac{3\,B\,a\,b^2\,d\,e^2}{2}+\frac{A\,a\,b^2\,e^3}{2}+3\,B\,a\,b\,c\,d^2\,e+3\,A\,a\,b\,c\,d\,e^2+\frac{B\,a\,c^2\,d^3}{2}+\frac{3\,A\,a\,c^2\,d^2\,e}{2}+\frac{B\,b^3\,d^2\,e}{2}+\frac{A\,b^3\,d\,e^2}{2}+\frac{B\,b^2\,c\,d^3}{2}+\frac{3\,A\,b^2\,c\,d^2\,e}{2}+\frac{A\,b\,c^2\,d^3}{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\,c\,a^2\,d^3}{4}+\frac{9\,A\,c\,a^2\,d^2\,e}{4}+\frac{3\,B\,a\,b^2\,d^3}{4}+\frac{9\,A\,a\,b^2\,d^2\,e}{4}+\frac{3\,A\,c\,a\,b\,d^3}{2}+\frac{A\,b^3\,d^3}{4}\right)+x^8\,\left(\frac{B\,b^3\,e^3}{8}+\frac{9\,B\,b^2\,c\,d\,e^2}{8}+\frac{3\,A\,b^2\,c\,e^3}{8}+\frac{9\,B\,b\,c^2\,d^2\,e}{8}+\frac{9\,A\,b\,c^2\,d\,e^2}{8}+\frac{3\,B\,a\,b\,c\,e^3}{4}+\frac{B\,c^3\,d^3}{8}+\frac{3\,A\,c^3\,d^2\,e}{8}+\frac{9\,B\,a\,c^2\,d\,e^2}{8}+\frac{3\,A\,a\,c^2\,e^3}{8}\right)+\frac{a^2\,d^2\,x^2\,\left(3\,A\,a\,e+3\,A\,b\,d+B\,a\,d\right)}{2}+\frac{c^2\,e^2\,x^{10}\,\left(A\,c\,e+3\,B\,b\,e+3\,B\,c\,d\right)}{10}+A\,a^3\,d^3\,x+\frac{B\,c^3\,e^3\,x^{11}}{11}","Not used",1,"x^5*((B*a^3*e^3)/5 + (B*b^3*d^3)/5 + (3*A*a*c^2*d^3)/5 + (3*A*a^2*b*e^3)/5 + (3*A*b^2*c*d^3)/5 + (3*A*b^3*d^2*e)/5 + (6*B*a*b*c*d^3)/5 + (9*A*a*b^2*d*e^2)/5 + (9*A*a^2*c*d*e^2)/5 + (9*B*a*b^2*d^2*e)/5 + (9*B*a^2*b*d*e^2)/5 + (9*B*a^2*c*d^2*e)/5 + (18*A*a*b*c*d^2*e)/5) + x^7*((A*b^3*e^3)/7 + (A*c^3*d^3)/7 + (3*B*a*b^2*e^3)/7 + (3*B*b*c^2*d^3)/7 + (3*B*a^2*c*e^3)/7 + (3*B*b^3*d*e^2)/7 + (6*A*a*b*c*e^3)/7 + (9*A*a*c^2*d*e^2)/7 + (9*A*b*c^2*d^2*e)/7 + (9*A*b^2*c*d*e^2)/7 + (9*B*a*c^2*d^2*e)/7 + (9*B*b^2*c*d^2*e)/7 + (18*B*a*b*c*d*e^2)/7) + x^3*(A*a*b^2*d^3 + A*a^2*c*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^9*((A*b*c^2*e^3)/3 + (B*a*c^2*e^3)/3 + (B*b^2*c*e^3)/3 + (A*c^3*d*e^2)/3 + (B*c^3*d^2*e)/3 + B*b*c^2*d*e^2) + x^6*((A*a*b^2*e^3)/2 + (A*b*c^2*d^3)/2 + (A*a^2*c*e^3)/2 + (B*a*c^2*d^3)/2 + (B*a^2*b*e^3)/2 + (B*b^2*c*d^3)/2 + (A*b^3*d*e^2)/2 + (B*b^3*d^2*e)/2 + (3*A*a*c^2*d^2*e)/2 + (3*B*a*b^2*d*e^2)/2 + (3*A*b^2*c*d^2*e)/2 + (3*B*a^2*c*d*e^2)/2 + 3*A*a*b*c*d*e^2 + 3*B*a*b*c*d^2*e) + 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^2*c*d^3)/4 + (3*B*a^3*d*e^2)/4 + (3*A*a*b*c*d^3)/2 + (9*A*a*b^2*d^2*e)/4 + (9*A*a^2*b*d*e^2)/4 + (9*A*a^2*c*d^2*e)/4 + (9*B*a^2*b*d^2*e)/4) + x^8*((B*b^3*e^3)/8 + (B*c^3*d^3)/8 + (3*A*a*c^2*e^3)/8 + (3*A*b^2*c*e^3)/8 + (3*A*c^3*d^2*e)/8 + (3*B*a*b*c*e^3)/4 + (9*A*b*c^2*d*e^2)/8 + (9*B*a*c^2*d*e^2)/8 + (9*B*b*c^2*d^2*e)/8 + (9*B*b^2*c*d*e^2)/8) + (a^2*d^2*x^2*(3*A*a*e + 3*A*b*d + B*a*d))/2 + (c^2*e^2*x^10*(A*c*e + 3*B*b*e + 3*B*c*d))/10 + A*a^3*d^3*x + (B*c^3*e^3*x^11)/11","B"
2336,1,578,555,2.492830,"\text{Not used}","int((A + B*x)*(d + e*x)^2*(a + b*x + c*x^2)^3,x)","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\,c\,a^2\,d^2+A\,a\,b^2\,d^2\right)+x^8\,\left(\frac{3\,B\,b^2\,c\,e^2}{8}+\frac{3\,B\,b\,c^2\,d\,e}{4}+\frac{3\,A\,b\,c^2\,e^2}{8}+\frac{B\,c^3\,d^2}{8}+\frac{A\,c^3\,d\,e}{4}+\frac{3\,B\,a\,c^2\,e^2}{8}\right)+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\,c\,a^2\,d^2}{4}+\frac{3\,A\,c\,a^2\,d\,e}{2}+\frac{3\,B\,a\,b^2\,d^2}{4}+\frac{3\,A\,a\,b^2\,d\,e}{2}+\frac{3\,A\,c\,a\,b\,d^2}{2}+\frac{A\,b^3\,d^2}{4}\right)+x^7\,\left(\frac{B\,b^3\,e^2}{7}+\frac{6\,B\,b^2\,c\,d\,e}{7}+\frac{3\,A\,b^2\,c\,e^2}{7}+\frac{3\,B\,b\,c^2\,d^2}{7}+\frac{6\,A\,b\,c^2\,d\,e}{7}+\frac{6\,B\,a\,b\,c\,e^2}{7}+\frac{A\,c^3\,d^2}{7}+\frac{6\,B\,a\,c^2\,d\,e}{7}+\frac{3\,A\,a\,c^2\,e^2}{7}\right)+x^5\,\left(\frac{3\,B\,a^2\,b\,e^2}{5}+\frac{6\,B\,a^2\,c\,d\,e}{5}+\frac{3\,A\,a^2\,c\,e^2}{5}+\frac{6\,B\,a\,b^2\,d\,e}{5}+\frac{3\,A\,a\,b^2\,e^2}{5}+\frac{6\,B\,a\,b\,c\,d^2}{5}+\frac{12\,A\,a\,b\,c\,d\,e}{5}+\frac{3\,A\,a\,c^2\,d^2}{5}+\frac{B\,b^3\,d^2}{5}+\frac{2\,A\,b^3\,d\,e}{5}+\frac{3\,A\,b^2\,c\,d^2}{5}\right)+x^6\,\left(\frac{B\,a^2\,c\,e^2}{2}+\frac{B\,a\,b^2\,e^2}{2}+2\,B\,a\,b\,c\,d\,e+A\,a\,b\,c\,e^2+\frac{B\,a\,c^2\,d^2}{2}+A\,a\,c^2\,d\,e+\frac{B\,b^3\,d\,e}{3}+\frac{A\,b^3\,e^2}{6}+\frac{B\,b^2\,c\,d^2}{2}+A\,b^2\,c\,d\,e+\frac{A\,b\,c^2\,d^2}{2}\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{c^2\,e\,x^9\,\left(A\,c\,e+3\,B\,b\,e+2\,B\,c\,d\right)}{9}+\frac{B\,c^3\,e^2\,x^{10}}{10}","Not used",1,"x^3*((A*a^3*e^2)/3 + (2*B*a^3*d*e)/3 + A*a*b^2*d^2 + A*a^2*c*d^2 + B*a^2*b*d^2 + 2*A*a^2*b*d*e) + x^8*((B*c^3*d^2)/8 + (A*c^3*d*e)/4 + (3*A*b*c^2*e^2)/8 + (3*B*a*c^2*e^2)/8 + (3*B*b^2*c*e^2)/8 + (3*B*b*c^2*d*e)/4) + 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*B*a^2*c*d^2)/4 + (3*A*a*b*c*d^2)/2 + (3*A*a*b^2*d*e)/2 + (3*A*a^2*c*d*e)/2 + (3*B*a^2*b*d*e)/2) + x^7*((A*c^3*d^2)/7 + (B*b^3*e^2)/7 + (3*A*a*c^2*e^2)/7 + (3*A*b^2*c*e^2)/7 + (3*B*b*c^2*d^2)/7 + (6*B*a*b*c*e^2)/7 + (6*A*b*c^2*d*e)/7 + (6*B*a*c^2*d*e)/7 + (6*B*b^2*c*d*e)/7) + x^5*((B*b^3*d^2)/5 + (2*A*b^3*d*e)/5 + (3*A*a*b^2*e^2)/5 + (3*A*a*c^2*d^2)/5 + (3*A*a^2*c*e^2)/5 + (3*A*b^2*c*d^2)/5 + (3*B*a^2*b*e^2)/5 + (6*B*a*b*c*d^2)/5 + (6*B*a*b^2*d*e)/5 + (6*B*a^2*c*d*e)/5 + (12*A*a*b*c*d*e)/5) + x^6*((A*b^3*e^2)/6 + (B*b^3*d*e)/3 + (A*b*c^2*d^2)/2 + (B*a*b^2*e^2)/2 + (B*a*c^2*d^2)/2 + (B*a^2*c*e^2)/2 + (B*b^2*c*d^2)/2 + A*a*b*c*e^2 + A*a*c^2*d*e + A*b^2*c*d*e + 2*B*a*b*c*d*e) + A*a^3*d^2*x + (a^2*d*x^2*(2*A*a*e + 3*A*b*d + B*a*d))/2 + (c^2*e*x^9*(A*c*e + 3*B*b*e + 2*B*c*d))/9 + (B*c^3*e^2*x^10)/10","B"
2337,1,338,310,0.126637,"\text{Not used}","int((A + B*x)*(d + e*x)*(a + b*x + c*x^2)^3,x)","x^7\,\left(\frac{A\,c^3\,d}{7}+\frac{3\,A\,b\,c^2\,e}{7}+\frac{3\,B\,a\,c^2\,e}{7}+\frac{3\,B\,b\,c^2\,d}{7}+\frac{3\,B\,b^2\,c\,e}{7}\right)+x^5\,\left(\frac{A\,b^3\,e}{5}+\frac{B\,b^3\,d}{5}+\frac{3\,A\,a\,c^2\,d}{5}+\frac{3\,A\,b^2\,c\,d}{5}+\frac{3\,B\,a\,b^2\,e}{5}+\frac{3\,B\,a^2\,c\,e}{5}+\frac{6\,A\,a\,b\,c\,e}{5}+\frac{6\,B\,a\,b\,c\,d}{5}\right)+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^8\,\left(\frac{A\,c^3\,e}{8}+\frac{B\,c^3\,d}{8}+\frac{3\,B\,b\,c^2\,e}{8}\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\,A\,a^2\,c\,e}{4}+\frac{3\,B\,a^2\,b\,e}{4}+\frac{3\,B\,a^2\,c\,d}{4}+\frac{3\,A\,a\,b\,c\,d}{2}\right)+x^6\,\left(\frac{B\,b^3\,e}{6}+\frac{A\,a\,c^2\,e}{2}+\frac{A\,b\,c^2\,d}{2}+\frac{B\,a\,c^2\,d}{2}+\frac{A\,b^2\,c\,e}{2}+\frac{B\,b^2\,c\,d}{2}+B\,a\,b\,c\,e\right)+x^3\,\left(\frac{B\,a^3\,e}{3}+A\,a\,b^2\,d+A\,a^2\,b\,e+A\,a^2\,c\,d+B\,a^2\,b\,d\right)+A\,a^3\,d\,x+\frac{B\,c^3\,e\,x^9}{9}","Not used",1,"x^7*((A*c^3*d)/7 + (3*A*b*c^2*e)/7 + (3*B*a*c^2*e)/7 + (3*B*b*c^2*d)/7 + (3*B*b^2*c*e)/7) + x^5*((A*b^3*e)/5 + (B*b^3*d)/5 + (3*A*a*c^2*d)/5 + (3*A*b^2*c*d)/5 + (3*B*a*b^2*e)/5 + (3*B*a^2*c*e)/5 + (6*A*a*b*c*e)/5 + (6*B*a*b*c*d)/5) + x^2*((A*a^3*e)/2 + (B*a^3*d)/2 + (3*A*a^2*b*d)/2) + x^8*((A*c^3*e)/8 + (B*c^3*d)/8 + (3*B*b*c^2*e)/8) + x^4*((A*b^3*d)/4 + (3*A*a*b^2*e)/4 + (3*B*a*b^2*d)/4 + (3*A*a^2*c*e)/4 + (3*B*a^2*b*e)/4 + (3*B*a^2*c*d)/4 + (3*A*a*b*c*d)/2) + x^6*((B*b^3*e)/6 + (A*a*c^2*e)/2 + (A*b*c^2*d)/2 + (B*a*c^2*d)/2 + (A*b^2*c*e)/2 + (B*b^2*c*d)/2 + B*a*b*c*e) + x^3*((B*a^3*e)/3 + A*a*b^2*d + A*a^2*b*e + A*a^2*c*d + B*a^2*b*d) + A*a^3*d*x + (B*c^3*e*x^9)/9","B"
2338,1,163,158,0.069736,"\text{Not used}","int((A + B*x)*(a + b*x + c*x^2)^3,x)","x^4\,\left(\frac{3\,B\,c\,a^2}{4}+\frac{3\,B\,a\,b^2}{4}+\frac{3\,A\,c\,a\,b}{2}+\frac{A\,b^3}{4}\right)+x^5\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,b^2\,c}{5}+\frac{6\,B\,a\,b\,c}{5}+\frac{3\,A\,a\,c^2}{5}\right)+x^2\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,B\,b\,c^2}{7}\right)+x^3\,\left(B\,a^2\,b+A\,c\,a^2+A\,a\,b^2\right)+x^6\,\left(\frac{B\,b^2\,c}{2}+\frac{A\,b\,c^2}{2}+\frac{B\,a\,c^2}{2}\right)+\frac{B\,c^3\,x^8}{8}+A\,a^3\,x","Not used",1,"x^4*((A*b^3)/4 + (3*B*a*b^2)/4 + (3*B*a^2*c)/4 + (3*A*a*b*c)/2) + x^5*((B*b^3)/5 + (3*A*a*c^2)/5 + (3*A*b^2*c)/5 + (6*B*a*b*c)/5) + x^2*((B*a^3)/2 + (3*A*a^2*b)/2) + x^7*((A*c^3)/7 + (3*B*b*c^2)/7) + x^3*(A*a*b^2 + A*a^2*c + B*a^2*b) + x^6*((A*b*c^2)/2 + (B*a*c^2)/2 + (B*b^2*c)/2) + (B*c^3*x^8)/8 + A*a^3*x","B"
2339,1,968,544,2.369014,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x),x)","x^2\,\left(\frac{3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2}{2\,e}-\frac{d\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e}-\frac{d\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e}-\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}\right)}{e}\right)}{e}\right)}{2\,e}\right)+x^5\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{5\,e}-\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{5\,e}\right)+x^4\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{4\,e}-\frac{d\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e}-\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}\right)}{4\,e}\right)+x\,\left(\frac{B\,a^3+3\,A\,b\,a^2}{e}-\frac{d\,\left(\frac{3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2}{e}-\frac{d\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e}-\frac{d\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e}-\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)+x^3\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{3\,e}-\frac{d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e}-\frac{d\,\left(\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e}-\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e}-\frac{B\,c^3\,d}{e^2}\right)}{e}\right)}{e}\right)}{3\,e}\right)+x^6\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{6\,e}-\frac{B\,c^3\,d}{6\,e^2}\right)+\frac{\ln\left(d+e\,x\right)\,\left(-B\,a^3\,d\,e^6+A\,a^3\,e^7+3\,B\,a^2\,b\,d^2\,e^5-3\,A\,a^2\,b\,d\,e^6-3\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5-3\,B\,a\,b^2\,d^3\,e^4+3\,A\,a\,b^2\,d^2\,e^5+6\,B\,a\,b\,c\,d^4\,e^3-6\,A\,a\,b\,c\,d^3\,e^4-3\,B\,a\,c^2\,d^5\,e^2+3\,A\,a\,c^2\,d^4\,e^3+B\,b^3\,d^4\,e^3-A\,b^3\,d^3\,e^4-3\,B\,b^2\,c\,d^5\,e^2+3\,A\,b^2\,c\,d^4\,e^3+3\,B\,b\,c^2\,d^6\,e-3\,A\,b\,c^2\,d^5\,e^2-B\,c^3\,d^7+A\,c^3\,d^6\,e\right)}{e^8}+\frac{B\,c^3\,x^7}{7\,e}","Not used",1,"x^2*((3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b)/(2*e) - (d*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/e - (d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e - (d*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e - (d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e))/e))/e))/(2*e)) + x^5*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/(5*e) - (d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/(5*e)) + x^4*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/(4*e) - (d*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e - (d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e))/(4*e)) + x*((B*a^3 + 3*A*a^2*b)/e - (d*((3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b)/e - (d*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/e - (d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e - (d*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e - (d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e))/e))/e))/e))/e) + x^3*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/(3*e) - (d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e - (d*((3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e - (d*((A*c^3 + 3*B*b*c^2)/e - (B*c^3*d)/e^2))/e))/e))/(3*e)) + x^6*((A*c^3 + 3*B*b*c^2)/(6*e) - (B*c^3*d)/(6*e^2)) + (log(d + e*x)*(A*a^3*e^7 - B*c^3*d^7 - B*a^3*d*e^6 + A*c^3*d^6*e - A*b^3*d^3*e^4 + B*b^3*d^4*e^3 + 3*A*a*b^2*d^2*e^5 + 3*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 - 3*B*a*b^2*d^3*e^4 + 3*B*a^2*b*d^2*e^5 - 3*A*b*c^2*d^5*e^2 + 3*A*b^2*c*d^4*e^3 - 3*B*a*c^2*d^5*e^2 - 3*B*a^2*c*d^3*e^4 - 3*B*b^2*c*d^5*e^2 - 3*A*a^2*b*d*e^6 + 3*B*b*c^2*d^6*e - 6*A*a*b*c*d^3*e^4 + 6*B*a*b*c*d^4*e^3))/e^8 + (B*c^3*x^7)/(7*e)","B"
2340,1,1483,525,2.440613,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^2,x)","x^3\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{3\,e^2}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{3\,e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{3\,e}\right)+x^2\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{2\,e^2}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{2\,e^2}-\frac{d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e^2}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}\right)}{e}\right)-x\,\left(\frac{2\,d\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{e^2}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e^2}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}\right)}{e}\right)}{e}-\frac{3\,B\,a^2\,b+3\,A\,c\,a^2+3\,A\,a\,b^2}{e^2}+\frac{d^2\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e^2}-\frac{d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^2}+\frac{B\,c^3\,d^2}{e^4}\right)}{e}\right)}{e^2}\right)-x^4\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^2}-\frac{2\,B\,c^3\,d}{e^3}\right)}{2\,e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{4\,e^2}+\frac{B\,c^3\,d^2}{4\,e^4}\right)+x^5\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{5\,e^2}-\frac{2\,B\,c^3\,d}{5\,e^3}\right)-\frac{-B\,a^3\,d\,e^6+A\,a^3\,e^7+3\,B\,a^2\,b\,d^2\,e^5-3\,A\,a^2\,b\,d\,e^6-3\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5-3\,B\,a\,b^2\,d^3\,e^4+3\,A\,a\,b^2\,d^2\,e^5+6\,B\,a\,b\,c\,d^4\,e^3-6\,A\,a\,b\,c\,d^3\,e^4-3\,B\,a\,c^2\,d^5\,e^2+3\,A\,a\,c^2\,d^4\,e^3+B\,b^3\,d^4\,e^3-A\,b^3\,d^3\,e^4-3\,B\,b^2\,c\,d^5\,e^2+3\,A\,b^2\,c\,d^4\,e^3+3\,B\,b\,c^2\,d^6\,e-3\,A\,b\,c^2\,d^5\,e^2-B\,c^3\,d^7+A\,c^3\,d^6\,e}{e\,\left(x\,e^8+d\,e^7\right)}+\frac{\ln\left(d+e\,x\right)\,\left(B\,a^3\,e^6-6\,B\,a^2\,b\,d\,e^5+3\,A\,a^2\,b\,e^6+9\,B\,a^2\,c\,d^2\,e^4-6\,A\,a^2\,c\,d\,e^5+9\,B\,a\,b^2\,d^2\,e^4-6\,A\,a\,b^2\,d\,e^5-24\,B\,a\,b\,c\,d^3\,e^3+18\,A\,a\,b\,c\,d^2\,e^4+15\,B\,a\,c^2\,d^4\,e^2-12\,A\,a\,c^2\,d^3\,e^3-4\,B\,b^3\,d^3\,e^3+3\,A\,b^3\,d^2\,e^4+15\,B\,b^2\,c\,d^4\,e^2-12\,A\,b^2\,c\,d^3\,e^3-18\,B\,b\,c^2\,d^5\,e+15\,A\,b\,c^2\,d^4\,e^2+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)}{e^8}+\frac{B\,c^3\,x^6}{6\,e^2}","Not used",1,"x^3*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/(3*e^2) - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/(3*e^2) + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/(3*e)) + x^2*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/(2*e^2) + (d^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/(2*e^2) - (d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e^2 - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/e))/e) - x*((2*d*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/e^2 + (d^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/e^2 - (2*d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e^2 - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/e))/e))/e - (3*A*a*b^2 + 3*A*a^2*c + 3*B*a^2*b)/e^2 + (d^2*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e^2 - (d^2*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e^2 + (2*d*((2*d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^2 + (B*c^3*d^2)/e^4))/e))/e^2) - x^4*((d*((A*c^3 + 3*B*b*c^2)/e^2 - (2*B*c^3*d)/e^3))/(2*e) - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/(4*e^2) + (B*c^3*d^2)/(4*e^4)) + x^5*((A*c^3 + 3*B*b*c^2)/(5*e^2) - (2*B*c^3*d)/(5*e^3)) - (A*a^3*e^7 - B*c^3*d^7 - B*a^3*d*e^6 + A*c^3*d^6*e - A*b^3*d^3*e^4 + B*b^3*d^4*e^3 + 3*A*a*b^2*d^2*e^5 + 3*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 - 3*B*a*b^2*d^3*e^4 + 3*B*a^2*b*d^2*e^5 - 3*A*b*c^2*d^5*e^2 + 3*A*b^2*c*d^4*e^3 - 3*B*a*c^2*d^5*e^2 - 3*B*a^2*c*d^3*e^4 - 3*B*b^2*c*d^5*e^2 - 3*A*a^2*b*d*e^6 + 3*B*b*c^2*d^6*e - 6*A*a*b*c*d^3*e^4 + 6*B*a*b*c*d^4*e^3)/(e*(d*e^7 + e^8*x)) + (log(d + e*x)*(B*a^3*e^6 + 7*B*c^3*d^6 + 3*A*a^2*b*e^6 - 6*A*c^3*d^5*e + 3*A*b^3*d^2*e^4 - 4*B*b^3*d^3*e^3 - 12*A*a*c^2*d^3*e^3 + 9*B*a*b^2*d^2*e^4 + 15*A*b*c^2*d^4*e^2 - 12*A*b^2*c*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 + 15*B*b^2*c*d^4*e^2 - 6*A*a*b^2*d*e^5 - 6*A*a^2*c*d*e^5 - 6*B*a^2*b*d*e^5 - 18*B*b*c^2*d^5*e + 18*A*a*b*c*d^2*e^4 - 24*B*a*b*c*d^3*e^3))/e^8 + (B*c^3*x^6)/(6*e^2)","B"
2341,1,1297,531,2.506425,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^3,x)","x\,\left(\frac{3\,B\,c\,a^2+3\,B\,a\,b^2+6\,A\,c\,a\,b+A\,b^3}{e^3}+\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e^2}-\frac{3\,d\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e^3}-\frac{3\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^2}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{e}-\frac{B\,c^3\,d^3}{e^6}\right)}{e}-\frac{d^3\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e^3}\right)-\frac{\frac{B\,a^3\,d\,e^6+A\,a^3\,e^7-9\,B\,a^2\,b\,d^2\,e^5+3\,A\,a^2\,b\,d\,e^6+15\,B\,a^2\,c\,d^3\,e^4-9\,A\,a^2\,c\,d^2\,e^5+15\,B\,a\,b^2\,d^3\,e^4-9\,A\,a\,b^2\,d^2\,e^5-42\,B\,a\,b\,c\,d^4\,e^3+30\,A\,a\,b\,c\,d^3\,e^4+27\,B\,a\,c^2\,d^5\,e^2-21\,A\,a\,c^2\,d^4\,e^3-7\,B\,b^3\,d^4\,e^3+5\,A\,b^3\,d^3\,e^4+27\,B\,b^2\,c\,d^5\,e^2-21\,A\,b^2\,c\,d^4\,e^3-33\,B\,b\,c^2\,d^6\,e+27\,A\,b\,c^2\,d^5\,e^2+13\,B\,c^3\,d^7-11\,A\,c^3\,d^6\,e}{2\,e}+x\,\left(B\,a^3\,e^6-6\,B\,a^2\,b\,d\,e^5+3\,A\,a^2\,b\,e^6+9\,B\,a^2\,c\,d^2\,e^4-6\,A\,a^2\,c\,d\,e^5+9\,B\,a\,b^2\,d^2\,e^4-6\,A\,a\,b^2\,d\,e^5-24\,B\,a\,b\,c\,d^3\,e^3+18\,A\,a\,b\,c\,d^2\,e^4+15\,B\,a\,c^2\,d^4\,e^2-12\,A\,a\,c^2\,d^3\,e^3-4\,B\,b^3\,d^3\,e^3+3\,A\,b^3\,d^2\,e^4+15\,B\,b^2\,c\,d^4\,e^2-12\,A\,b^2\,c\,d^3\,e^3-18\,B\,b\,c^2\,d^5\,e+15\,A\,b\,c^2\,d^4\,e^2+7\,B\,c^3\,d^6-6\,A\,c^3\,d^5\,e\right)}{d^2\,e^7+2\,d\,e^8\,x+e^9\,x^2}-x^3\,\left(\frac{d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{3\,e^3}+\frac{B\,c^3\,d^2}{e^5}\right)+x^4\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{4\,e^3}-\frac{3\,B\,c^3\,d}{4\,e^4}\right)+x^2\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{2\,e^3}-\frac{3\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{2\,e^2}+\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^3}-\frac{3\,B\,c^3\,d}{e^4}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^3}+\frac{3\,B\,c^3\,d^2}{e^5}\right)}{2\,e}-\frac{B\,c^3\,d^3}{2\,e^6}\right)+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,a^2\,b\,e^5-9\,B\,a^2\,c\,d\,e^4+3\,A\,a^2\,c\,e^5-9\,B\,a\,b^2\,d\,e^4+3\,A\,a\,b^2\,e^5+36\,B\,a\,b\,c\,d^2\,e^3-18\,A\,a\,b\,c\,d\,e^4-30\,B\,a\,c^2\,d^3\,e^2+18\,A\,a\,c^2\,d^2\,e^3+6\,B\,b^3\,d^2\,e^3-3\,A\,b^3\,d\,e^4-30\,B\,b^2\,c\,d^3\,e^2+18\,A\,b^2\,c\,d^2\,e^3+45\,B\,b\,c^2\,d^4\,e-30\,A\,b\,c^2\,d^3\,e^2-21\,B\,c^3\,d^5+15\,A\,c^3\,d^4\,e\right)}{e^8}+\frac{B\,c^3\,x^5}{5\,e^3}","Not used",1,"x*((A*b^3 + 3*B*a*b^2 + 3*B*a^2*c + 6*A*a*b*c)/e^3 + (3*d^2*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^3 + (3*B*c^3*d^2)/e^5))/e^2 - (3*d*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e^3 - (3*d^2*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e^2 + (3*d*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^3 + (3*B*c^3*d^2)/e^5))/e - (B*c^3*d^3)/e^6))/e - (d^3*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e^3) - ((A*a^3*e^7 + 13*B*c^3*d^7 + B*a^3*d*e^6 - 11*A*c^3*d^6*e + 5*A*b^3*d^3*e^4 - 7*B*b^3*d^4*e^3 - 9*A*a*b^2*d^2*e^5 - 21*A*a*c^2*d^4*e^3 - 9*A*a^2*c*d^2*e^5 + 15*B*a*b^2*d^3*e^4 - 9*B*a^2*b*d^2*e^5 + 27*A*b*c^2*d^5*e^2 - 21*A*b^2*c*d^4*e^3 + 27*B*a*c^2*d^5*e^2 + 15*B*a^2*c*d^3*e^4 + 27*B*b^2*c*d^5*e^2 + 3*A*a^2*b*d*e^6 - 33*B*b*c^2*d^6*e + 30*A*a*b*c*d^3*e^4 - 42*B*a*b*c*d^4*e^3)/(2*e) + x*(B*a^3*e^6 + 7*B*c^3*d^6 + 3*A*a^2*b*e^6 - 6*A*c^3*d^5*e + 3*A*b^3*d^2*e^4 - 4*B*b^3*d^3*e^3 - 12*A*a*c^2*d^3*e^3 + 9*B*a*b^2*d^2*e^4 + 15*A*b*c^2*d^4*e^2 - 12*A*b^2*c*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 + 15*B*b^2*c*d^4*e^2 - 6*A*a*b^2*d*e^5 - 6*A*a^2*c*d*e^5 - 6*B*a^2*b*d*e^5 - 18*B*b*c^2*d^5*e + 18*A*a*b*c*d^2*e^4 - 24*B*a*b*c*d^3*e^3))/(d^2*e^7 + e^9*x^2 + 2*d*e^8*x) - x^3*((d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/(3*e^3) + (B*c^3*d^2)/e^5) + x^4*((A*c^3 + 3*B*b*c^2)/(4*e^3) - (3*B*c^3*d)/(4*e^4)) + x^2*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/(2*e^3) - (3*d^2*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/(2*e^2) + (3*d*((3*d*((A*c^3 + 3*B*b*c^2)/e^3 - (3*B*c^3*d)/e^4))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^3 + (3*B*c^3*d^2)/e^5))/(2*e) - (B*c^3*d^3)/(2*e^6)) + (log(d + e*x)*(3*A*a*b^2*e^5 - 21*B*c^3*d^5 + 3*A*a^2*c*e^5 + 3*B*a^2*b*e^5 - 3*A*b^3*d*e^4 + 15*A*c^3*d^4*e + 6*B*b^3*d^2*e^3 + 18*A*a*c^2*d^2*e^3 - 30*A*b*c^2*d^3*e^2 + 18*A*b^2*c*d^2*e^3 - 30*B*a*c^2*d^3*e^2 - 30*B*b^2*c*d^3*e^2 - 9*B*a*b^2*d*e^4 - 9*B*a^2*c*d*e^4 + 45*B*b*c^2*d^4*e + 36*B*a*b*c*d^2*e^3 - 18*A*a*b*c*d*e^4))/e^8 + (B*c^3*x^5)/(5*e^3)","B"
2342,1,1151,521,2.527785,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^4,x)","x\,\left(\frac{B\,b^3+3\,A\,b^2\,c+6\,B\,a\,b\,c+3\,A\,a\,c^2}{e^4}-\frac{6\,d^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e^2}+\frac{4\,d\,\left(\frac{4\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^4}+\frac{6\,B\,c^3\,d^2}{e^6}\right)}{e}-\frac{4\,B\,c^3\,d^3}{e^7}\right)-x^2\,\left(\frac{2\,d\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^4}-\frac{4\,B\,c^3\,d}{e^5}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{2\,e^4}+\frac{3\,B\,c^3\,d^2}{e^6}\right)-\frac{\frac{B\,a^3\,d\,e^6+2\,A\,a^3\,e^7+6\,B\,a^2\,b\,d^2\,e^5+3\,A\,a^2\,b\,d\,e^6-33\,B\,a^2\,c\,d^3\,e^4+6\,A\,a^2\,c\,d^2\,e^5-33\,B\,a\,b^2\,d^3\,e^4+6\,A\,a\,b^2\,d^2\,e^5+156\,B\,a\,b\,c\,d^4\,e^3-66\,A\,a\,b\,c\,d^3\,e^4-141\,B\,a\,c^2\,d^5\,e^2+78\,A\,a\,c^2\,d^4\,e^3+26\,B\,b^3\,d^4\,e^3-11\,A\,b^3\,d^3\,e^4-141\,B\,b^2\,c\,d^5\,e^2+78\,A\,b^2\,c\,d^4\,e^3+222\,B\,b\,c^2\,d^6\,e-141\,A\,b\,c^2\,d^5\,e^2-107\,B\,c^3\,d^7+74\,A\,c^3\,d^6\,e}{6\,e}+x\,\left(\frac{B\,a^3\,e^6}{2}+3\,B\,a^2\,b\,d\,e^5+\frac{3\,A\,a^2\,b\,e^6}{2}-\frac{27\,B\,a^2\,c\,d^2\,e^4}{2}+3\,A\,a^2\,c\,d\,e^5-\frac{27\,B\,a\,b^2\,d^2\,e^4}{2}+3\,A\,a\,b^2\,d\,e^5+60\,B\,a\,b\,c\,d^3\,e^3-27\,A\,a\,b\,c\,d^2\,e^4-\frac{105\,B\,a\,c^2\,d^4\,e^2}{2}+30\,A\,a\,c^2\,d^3\,e^3+10\,B\,b^3\,d^3\,e^3-\frac{9\,A\,b^3\,d^2\,e^4}{2}-\frac{105\,B\,b^2\,c\,d^4\,e^2}{2}+30\,A\,b^2\,c\,d^3\,e^3+81\,B\,b\,c^2\,d^5\,e-\frac{105\,A\,b\,c^2\,d^4\,e^2}{2}-\frac{77\,B\,c^3\,d^6}{2}+27\,A\,c^3\,d^5\,e\right)+x^2\,\left(3\,B\,a^2\,b\,e^6-9\,B\,a^2\,c\,d\,e^5+3\,A\,a^2\,c\,e^6-9\,B\,a\,b^2\,d\,e^5+3\,A\,a\,b^2\,e^6+36\,B\,a\,b\,c\,d^2\,e^4-18\,A\,a\,b\,c\,d\,e^5-30\,B\,a\,c^2\,d^3\,e^3+18\,A\,a\,c^2\,d^2\,e^4+6\,B\,b^3\,d^2\,e^4-3\,A\,b^3\,d\,e^5-30\,B\,b^2\,c\,d^3\,e^3+18\,A\,b^2\,c\,d^2\,e^4+45\,B\,b\,c^2\,d^4\,e^2-30\,A\,b\,c^2\,d^3\,e^3-21\,B\,c^3\,d^5\,e+15\,A\,c^3\,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^3\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{3\,e^4}-\frac{4\,B\,c^3\,d}{3\,e^5}\right)+\frac{\ln\left(d+e\,x\right)\,\left(3\,B\,a^2\,c\,e^4+3\,B\,a\,b^2\,e^4-24\,B\,a\,b\,c\,d\,e^3+6\,A\,a\,b\,c\,e^4+30\,B\,a\,c^2\,d^2\,e^2-12\,A\,a\,c^2\,d\,e^3-4\,B\,b^3\,d\,e^3+A\,b^3\,e^4+30\,B\,b^2\,c\,d^2\,e^2-12\,A\,b^2\,c\,d\,e^3-60\,B\,b\,c^2\,d^3\,e+30\,A\,b\,c^2\,d^2\,e^2+35\,B\,c^3\,d^4-20\,A\,c^3\,d^3\,e\right)}{e^8}+\frac{B\,c^3\,x^4}{4\,e^4}","Not used",1,"x*((B*b^3 + 3*A*a*c^2 + 3*A*b^2*c + 6*B*a*b*c)/e^4 - (6*d^2*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e^2 + (4*d*((4*d*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^4 + (6*B*c^3*d^2)/e^6))/e - (4*B*c^3*d^3)/e^7) - x^2*((2*d*((A*c^3 + 3*B*b*c^2)/e^4 - (4*B*c^3*d)/e^5))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/(2*e^4) + (3*B*c^3*d^2)/e^6) - ((2*A*a^3*e^7 - 107*B*c^3*d^7 + B*a^3*d*e^6 + 74*A*c^3*d^6*e - 11*A*b^3*d^3*e^4 + 26*B*b^3*d^4*e^3 + 6*A*a*b^2*d^2*e^5 + 78*A*a*c^2*d^4*e^3 + 6*A*a^2*c*d^2*e^5 - 33*B*a*b^2*d^3*e^4 + 6*B*a^2*b*d^2*e^5 - 141*A*b*c^2*d^5*e^2 + 78*A*b^2*c*d^4*e^3 - 141*B*a*c^2*d^5*e^2 - 33*B*a^2*c*d^3*e^4 - 141*B*b^2*c*d^5*e^2 + 3*A*a^2*b*d*e^6 + 222*B*b*c^2*d^6*e - 66*A*a*b*c*d^3*e^4 + 156*B*a*b*c*d^4*e^3)/(6*e) + x*((B*a^3*e^6)/2 - (77*B*c^3*d^6)/2 + (3*A*a^2*b*e^6)/2 + 27*A*c^3*d^5*e - (9*A*b^3*d^2*e^4)/2 + 10*B*b^3*d^3*e^3 + 30*A*a*c^2*d^3*e^3 - (27*B*a*b^2*d^2*e^4)/2 - (105*A*b*c^2*d^4*e^2)/2 + 30*A*b^2*c*d^3*e^3 - (105*B*a*c^2*d^4*e^2)/2 - (27*B*a^2*c*d^2*e^4)/2 - (105*B*b^2*c*d^4*e^2)/2 + 3*A*a*b^2*d*e^5 + 3*A*a^2*c*d*e^5 + 3*B*a^2*b*d*e^5 + 81*B*b*c^2*d^5*e - 27*A*a*b*c*d^2*e^4 + 60*B*a*b*c*d^3*e^3) + x^2*(3*A*a*b^2*e^6 + 3*A*a^2*c*e^6 + 3*B*a^2*b*e^6 - 3*A*b^3*d*e^5 - 21*B*c^3*d^5*e + 15*A*c^3*d^4*e^2 + 6*B*b^3*d^2*e^4 + 18*A*a*c^2*d^2*e^4 - 30*A*b*c^2*d^3*e^3 + 18*A*b^2*c*d^2*e^4 - 30*B*a*c^2*d^3*e^3 + 45*B*b*c^2*d^4*e^2 - 30*B*b^2*c*d^3*e^3 - 9*B*a*b^2*d*e^5 - 9*B*a^2*c*d*e^5 + 36*B*a*b*c*d^2*e^4 - 18*A*a*b*c*d*e^5))/(d^3*e^7 + e^10*x^3 + 3*d^2*e^8*x + 3*d*e^9*x^2) + x^3*((A*c^3 + 3*B*b*c^2)/(3*e^4) - (4*B*c^3*d)/(3*e^5)) + (log(d + e*x)*(A*b^3*e^4 + 35*B*c^3*d^4 + 3*B*a*b^2*e^4 + 3*B*a^2*c*e^4 - 20*A*c^3*d^3*e - 4*B*b^3*d*e^3 + 30*A*b*c^2*d^2*e^2 + 30*B*a*c^2*d^2*e^2 + 30*B*b^2*c*d^2*e^2 + 6*A*a*b*c*e^4 - 12*A*a*c^2*d*e^3 - 12*A*b^2*c*d*e^3 - 60*B*b*c^2*d^3*e - 24*B*a*b*c*d*e^3))/e^8 + (B*c^3*x^4)/(4*e^4)","B"
2343,1,1106,533,2.537214,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^5,x)","x^2\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{2\,e^5}-\frac{5\,B\,c^3\,d}{2\,e^6}\right)-\frac{\frac{B\,a^3\,d\,e^6+3\,A\,a^3\,e^7+3\,B\,a^2\,b\,d^2\,e^5+3\,A\,a^2\,b\,d\,e^6+9\,B\,a^2\,c\,d^3\,e^4+3\,A\,a^2\,c\,d^2\,e^5+9\,B\,a\,b^2\,d^3\,e^4+3\,A\,a\,b^2\,d^2\,e^5-150\,B\,a\,b\,c\,d^4\,e^3+18\,A\,a\,b\,c\,d^3\,e^4+231\,B\,a\,c^2\,d^5\,e^2-75\,A\,a\,c^2\,d^4\,e^3-25\,B\,b^3\,d^4\,e^3+3\,A\,b^3\,d^3\,e^4+231\,B\,b^2\,c\,d^5\,e^2-75\,A\,b^2\,c\,d^4\,e^3-513\,B\,b\,c^2\,d^6\,e+231\,A\,b\,c^2\,d^5\,e^2+319\,B\,c^3\,d^7-171\,A\,c^3\,d^6\,e}{12\,e}+x^3\,\left(3\,B\,a^2\,c\,e^6+3\,B\,a\,b^2\,e^6-24\,B\,a\,b\,c\,d\,e^5+6\,A\,a\,b\,c\,e^6+30\,B\,a\,c^2\,d^2\,e^4-12\,A\,a\,c^2\,d\,e^5-4\,B\,b^3\,d\,e^5+A\,b^3\,e^6+30\,B\,b^2\,c\,d^2\,e^4-12\,A\,b^2\,c\,d\,e^5-60\,B\,b\,c^2\,d^3\,e^3+30\,A\,b\,c^2\,d^2\,e^4+35\,B\,c^3\,d^4\,e^2-20\,A\,c^3\,d^3\,e^3\right)+x\,\left(\frac{B\,a^3\,e^6}{3}+B\,a^2\,b\,d\,e^5+A\,a^2\,b\,e^6+3\,B\,a^2\,c\,d^2\,e^4+A\,a^2\,c\,d\,e^5+3\,B\,a\,b^2\,d^2\,e^4+A\,a\,b^2\,d\,e^5-44\,B\,a\,b\,c\,d^3\,e^3+6\,A\,a\,b\,c\,d^2\,e^4+65\,B\,a\,c^2\,d^4\,e^2-22\,A\,a\,c^2\,d^3\,e^3-\frac{22\,B\,b^3\,d^3\,e^3}{3}+A\,b^3\,d^2\,e^4+65\,B\,b^2\,c\,d^4\,e^2-22\,A\,b^2\,c\,d^3\,e^3-141\,B\,b\,c^2\,d^5\,e+65\,A\,b\,c^2\,d^4\,e^2+\frac{259\,B\,c^3\,d^6}{3}-47\,A\,c^3\,d^5\,e\right)+x^2\,\left(\frac{3\,B\,a^2\,b\,e^6}{2}+\frac{9\,B\,a^2\,c\,d\,e^5}{2}+\frac{3\,A\,a^2\,c\,e^6}{2}+\frac{9\,B\,a\,b^2\,d\,e^5}{2}+\frac{3\,A\,a\,b^2\,e^6}{2}-54\,B\,a\,b\,c\,d^2\,e^4+9\,A\,a\,b\,c\,d\,e^5+75\,B\,a\,c^2\,d^3\,e^3-27\,A\,a\,c^2\,d^2\,e^4-9\,B\,b^3\,d^2\,e^4+\frac{3\,A\,b^3\,d\,e^5}{2}+75\,B\,b^2\,c\,d^3\,e^3-27\,A\,b^2\,c\,d^2\,e^4-\frac{315\,B\,b\,c^2\,d^4\,e^2}{2}+75\,A\,b\,c^2\,d^3\,e^3+\frac{189\,B\,c^3\,d^5\,e}{2}-\frac{105\,A\,c^3\,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\,c^3+3\,B\,b\,c^2}{e^5}-\frac{5\,B\,c^3\,d}{e^6}\right)}{e}-\frac{3\,B\,b^2\,c+3\,A\,b\,c^2+3\,B\,a\,c^2}{e^5}+\frac{10\,B\,c^3\,d^2}{e^7}\right)+\frac{\ln\left(d+e\,x\right)\,\left(B\,b^3\,e^3-15\,B\,b^2\,c\,d\,e^2+3\,A\,b^2\,c\,e^3+45\,B\,b\,c^2\,d^2\,e-15\,A\,b\,c^2\,d\,e^2+6\,B\,a\,b\,c\,e^3-35\,B\,c^3\,d^3+15\,A\,c^3\,d^2\,e-15\,B\,a\,c^2\,d\,e^2+3\,A\,a\,c^2\,e^3\right)}{e^8}+\frac{B\,c^3\,x^3}{3\,e^5}","Not used",1,"x^2*((A*c^3 + 3*B*b*c^2)/(2*e^5) - (5*B*c^3*d)/(2*e^6)) - ((3*A*a^3*e^7 + 319*B*c^3*d^7 + B*a^3*d*e^6 - 171*A*c^3*d^6*e + 3*A*b^3*d^3*e^4 - 25*B*b^3*d^4*e^3 + 3*A*a*b^2*d^2*e^5 - 75*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 + 9*B*a*b^2*d^3*e^4 + 3*B*a^2*b*d^2*e^5 + 231*A*b*c^2*d^5*e^2 - 75*A*b^2*c*d^4*e^3 + 231*B*a*c^2*d^5*e^2 + 9*B*a^2*c*d^3*e^4 + 231*B*b^2*c*d^5*e^2 + 3*A*a^2*b*d*e^6 - 513*B*b*c^2*d^6*e + 18*A*a*b*c*d^3*e^4 - 150*B*a*b*c*d^4*e^3)/(12*e) + x^3*(A*b^3*e^6 + 3*B*a*b^2*e^6 + 3*B*a^2*c*e^6 - 4*B*b^3*d*e^5 - 20*A*c^3*d^3*e^3 + 35*B*c^3*d^4*e^2 + 30*A*b*c^2*d^2*e^4 + 30*B*a*c^2*d^2*e^4 - 60*B*b*c^2*d^3*e^3 + 30*B*b^2*c*d^2*e^4 + 6*A*a*b*c*e^6 - 12*A*a*c^2*d*e^5 - 12*A*b^2*c*d*e^5 - 24*B*a*b*c*d*e^5) + x*((B*a^3*e^6)/3 + (259*B*c^3*d^6)/3 + A*a^2*b*e^6 - 47*A*c^3*d^5*e + A*b^3*d^2*e^4 - (22*B*b^3*d^3*e^3)/3 - 22*A*a*c^2*d^3*e^3 + 3*B*a*b^2*d^2*e^4 + 65*A*b*c^2*d^4*e^2 - 22*A*b^2*c*d^3*e^3 + 65*B*a*c^2*d^4*e^2 + 3*B*a^2*c*d^2*e^4 + 65*B*b^2*c*d^4*e^2 + A*a*b^2*d*e^5 + A*a^2*c*d*e^5 + B*a^2*b*d*e^5 - 141*B*b*c^2*d^5*e + 6*A*a*b*c*d^2*e^4 - 44*B*a*b*c*d^3*e^3) + x^2*((3*A*a*b^2*e^6)/2 + (3*A*a^2*c*e^6)/2 + (3*B*a^2*b*e^6)/2 + (3*A*b^3*d*e^5)/2 + (189*B*c^3*d^5*e)/2 - (105*A*c^3*d^4*e^2)/2 - 9*B*b^3*d^2*e^4 - 27*A*a*c^2*d^2*e^4 + 75*A*b*c^2*d^3*e^3 - 27*A*b^2*c*d^2*e^4 + 75*B*a*c^2*d^3*e^3 - (315*B*b*c^2*d^4*e^2)/2 + 75*B*b^2*c*d^3*e^3 + (9*B*a*b^2*d*e^5)/2 + (9*B*a^2*c*d*e^5)/2 - 54*B*a*b*c*d^2*e^4 + 9*A*a*b*c*d*e^5))/(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*c^3 + 3*B*b*c^2)/e^5 - (5*B*c^3*d)/e^6))/e - (3*A*b*c^2 + 3*B*a*c^2 + 3*B*b^2*c)/e^5 + (10*B*c^3*d^2)/e^7) + (log(d + e*x)*(B*b^3*e^3 - 35*B*c^3*d^3 + 3*A*a*c^2*e^3 + 3*A*b^2*c*e^3 + 15*A*c^3*d^2*e + 6*B*a*b*c*e^3 - 15*A*b*c^2*d*e^2 - 15*B*a*c^2*d*e^2 + 45*B*b*c^2*d^2*e - 15*B*b^2*c*d*e^2))/e^8 + (B*c^3*x^3)/(3*e^5)","B"
2344,1,1106,534,0.261201,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^6,x)","x\,\left(\frac{A\,c^3+3\,B\,b\,c^2}{e^6}-\frac{6\,B\,c^3\,d}{e^7}\right)-\frac{\frac{B\,a^3\,d\,e^6+4\,A\,a^3\,e^7+2\,B\,a^2\,b\,d^2\,e^5+3\,A\,a^2\,b\,d\,e^6+3\,B\,a^2\,c\,d^3\,e^4+2\,A\,a^2\,c\,d^2\,e^5+3\,B\,a\,b^2\,d^3\,e^4+2\,A\,a\,b^2\,d^2\,e^5+24\,B\,a\,b\,c\,d^4\,e^3+6\,A\,a\,b\,c\,d^3\,e^4-137\,B\,a\,c^2\,d^5\,e^2+12\,A\,a\,c^2\,d^4\,e^3+4\,B\,b^3\,d^4\,e^3+A\,b^3\,d^3\,e^4-137\,B\,b^2\,c\,d^5\,e^2+12\,A\,b^2\,c\,d^4\,e^3+522\,B\,b\,c^2\,d^6\,e-137\,A\,b\,c^2\,d^5\,e^2-459\,B\,c^3\,d^7+174\,A\,c^3\,d^6\,e}{20\,e}+x^4\,\left(B\,b^3\,e^6-15\,B\,b^2\,c\,d\,e^5+3\,A\,b^2\,c\,e^6+45\,B\,b\,c^2\,d^2\,e^4-15\,A\,b\,c^2\,d\,e^5+6\,B\,a\,b\,c\,e^6-35\,B\,c^3\,d^3\,e^3+15\,A\,c^3\,d^2\,e^4-15\,B\,a\,c^2\,d\,e^5+3\,A\,a\,c^2\,e^6\right)+x^3\,\left(\frac{3\,B\,a^2\,c\,e^6}{2}+\frac{3\,B\,a\,b^2\,e^6}{2}+12\,B\,a\,b\,c\,d\,e^5+3\,A\,a\,b\,c\,e^6-45\,B\,a\,c^2\,d^2\,e^4+6\,A\,a\,c^2\,d\,e^5+2\,B\,b^3\,d\,e^5+\frac{A\,b^3\,e^6}{2}-45\,B\,b^2\,c\,d^2\,e^4+6\,A\,b^2\,c\,d\,e^5+150\,B\,b\,c^2\,d^3\,e^3-45\,A\,b\,c^2\,d^2\,e^4-\frac{245\,B\,c^3\,d^4\,e^2}{2}+50\,A\,c^3\,d^3\,e^3\right)+x\,\left(\frac{B\,a^3\,e^6}{4}+\frac{B\,a^2\,b\,d\,e^5}{2}+\frac{3\,A\,a^2\,b\,e^6}{4}+\frac{3\,B\,a^2\,c\,d^2\,e^4}{4}+\frac{A\,a^2\,c\,d\,e^5}{2}+\frac{3\,B\,a\,b^2\,d^2\,e^4}{4}+\frac{A\,a\,b^2\,d\,e^5}{2}+6\,B\,a\,b\,c\,d^3\,e^3+\frac{3\,A\,a\,b\,c\,d^2\,e^4}{2}-\frac{125\,B\,a\,c^2\,d^4\,e^2}{4}+3\,A\,a\,c^2\,d^3\,e^3+B\,b^3\,d^3\,e^3+\frac{A\,b^3\,d^2\,e^4}{4}-\frac{125\,B\,b^2\,c\,d^4\,e^2}{4}+3\,A\,b^2\,c\,d^3\,e^3+\frac{231\,B\,b\,c^2\,d^5\,e}{2}-\frac{125\,A\,b\,c^2\,d^4\,e^2}{4}-\frac{399\,B\,c^3\,d^6}{4}+\frac{77\,A\,c^3\,d^5\,e}{2}\right)+x^2\,\left(B\,a^2\,b\,e^6+\frac{3\,B\,a^2\,c\,d\,e^5}{2}+A\,a^2\,c\,e^6+\frac{3\,B\,a\,b^2\,d\,e^5}{2}+A\,a\,b^2\,e^6+12\,B\,a\,b\,c\,d^2\,e^4+3\,A\,a\,b\,c\,d\,e^5-55\,B\,a\,c^2\,d^3\,e^3+6\,A\,a\,c^2\,d^2\,e^4+2\,B\,b^3\,d^2\,e^4+\frac{A\,b^3\,d\,e^5}{2}-55\,B\,b^2\,c\,d^3\,e^3+6\,A\,b^2\,c\,d^2\,e^4+195\,B\,b\,c^2\,d^4\,e^2-55\,A\,b\,c^2\,d^3\,e^3-\frac{329\,B\,c^3\,d^5\,e}{2}+65\,A\,c^3\,d^4\,e^2\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(3\,B\,b^2\,c\,e^2-18\,B\,b\,c^2\,d\,e+3\,A\,b\,c^2\,e^2+21\,B\,c^3\,d^2-6\,A\,c^3\,d\,e+3\,B\,a\,c^2\,e^2\right)}{e^8}+\frac{B\,c^3\,x^2}{2\,e^6}","Not used",1,"x*((A*c^3 + 3*B*b*c^2)/e^6 - (6*B*c^3*d)/e^7) - ((4*A*a^3*e^7 - 459*B*c^3*d^7 + B*a^3*d*e^6 + 174*A*c^3*d^6*e + A*b^3*d^3*e^4 + 4*B*b^3*d^4*e^3 + 2*A*a*b^2*d^2*e^5 + 12*A*a*c^2*d^4*e^3 + 2*A*a^2*c*d^2*e^5 + 3*B*a*b^2*d^3*e^4 + 2*B*a^2*b*d^2*e^5 - 137*A*b*c^2*d^5*e^2 + 12*A*b^2*c*d^4*e^3 - 137*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4 - 137*B*b^2*c*d^5*e^2 + 3*A*a^2*b*d*e^6 + 522*B*b*c^2*d^6*e + 6*A*a*b*c*d^3*e^4 + 24*B*a*b*c*d^4*e^3)/(20*e) + x^4*(B*b^3*e^6 + 3*A*a*c^2*e^6 + 3*A*b^2*c*e^6 + 15*A*c^3*d^2*e^4 - 35*B*c^3*d^3*e^3 + 45*B*b*c^2*d^2*e^4 + 6*B*a*b*c*e^6 - 15*A*b*c^2*d*e^5 - 15*B*a*c^2*d*e^5 - 15*B*b^2*c*d*e^5) + x^3*((A*b^3*e^6)/2 + (3*B*a*b^2*e^6)/2 + (3*B*a^2*c*e^6)/2 + 2*B*b^3*d*e^5 + 50*A*c^3*d^3*e^3 - (245*B*c^3*d^4*e^2)/2 - 45*A*b*c^2*d^2*e^4 - 45*B*a*c^2*d^2*e^4 + 150*B*b*c^2*d^3*e^3 - 45*B*b^2*c*d^2*e^4 + 3*A*a*b*c*e^6 + 6*A*a*c^2*d*e^5 + 6*A*b^2*c*d*e^5 + 12*B*a*b*c*d*e^5) + x*((B*a^3*e^6)/4 - (399*B*c^3*d^6)/4 + (3*A*a^2*b*e^6)/4 + (77*A*c^3*d^5*e)/2 + (A*b^3*d^2*e^4)/4 + B*b^3*d^3*e^3 + 3*A*a*c^2*d^3*e^3 + (3*B*a*b^2*d^2*e^4)/4 - (125*A*b*c^2*d^4*e^2)/4 + 3*A*b^2*c*d^3*e^3 - (125*B*a*c^2*d^4*e^2)/4 + (3*B*a^2*c*d^2*e^4)/4 - (125*B*b^2*c*d^4*e^2)/4 + (A*a*b^2*d*e^5)/2 + (A*a^2*c*d*e^5)/2 + (B*a^2*b*d*e^5)/2 + (231*B*b*c^2*d^5*e)/2 + (3*A*a*b*c*d^2*e^4)/2 + 6*B*a*b*c*d^3*e^3) + x^2*(A*a*b^2*e^6 + A*a^2*c*e^6 + B*a^2*b*e^6 + (A*b^3*d*e^5)/2 - (329*B*c^3*d^5*e)/2 + 65*A*c^3*d^4*e^2 + 2*B*b^3*d^2*e^4 + 6*A*a*c^2*d^2*e^4 - 55*A*b*c^2*d^3*e^3 + 6*A*b^2*c*d^2*e^4 - 55*B*a*c^2*d^3*e^3 + 195*B*b*c^2*d^4*e^2 - 55*B*b^2*c*d^3*e^3 + (3*B*a*b^2*d*e^5)/2 + (3*B*a^2*c*d*e^5)/2 + 12*B*a*b*c*d^2*e^4 + 3*A*a*b*c*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*c^3*d^2 - 6*A*c^3*d*e + 3*A*b*c^2*e^2 + 3*B*a*c^2*e^2 + 3*B*b^2*c*e^2 - 18*B*b*c^2*d*e))/e^8 + (B*c^3*x^2)/(2*e^6)","B"
2345,1,1598,541,2.542551,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^7,x)","-\frac{10\,A\,a^3\,e^7+669\,B\,c^3\,d^7+2\,B\,a^3\,d\,e^6-147\,A\,c^3\,d^6\,e+420\,B\,c^3\,d^7\,\ln\left(d+e\,x\right)+12\,B\,a^3\,e^7\,x+A\,b^3\,d^3\,e^4+2\,B\,b^3\,d^4\,e^3+20\,A\,b^3\,e^7\,x^3+30\,B\,b^3\,e^7\,x^4-60\,B\,c^3\,e^7\,x^7+3594\,B\,c^3\,d^6\,e\,x+3\,A\,a\,b^2\,d^2\,e^5+6\,A\,a\,c^2\,d^4\,e^3+3\,A\,a^2\,c\,d^2\,e^5+3\,B\,a\,b^2\,d^3\,e^4+3\,B\,a^2\,b\,d^2\,e^5+30\,A\,b\,c^2\,d^5\,e^2+6\,A\,b^2\,c\,d^4\,e^3+30\,B\,a\,c^2\,d^5\,e^2+3\,B\,a^2\,c\,d^3\,e^4+30\,B\,b^2\,c\,d^5\,e^2+45\,A\,a\,b^2\,e^7\,x^2+45\,A\,a^2\,c\,e^7\,x^2+45\,B\,a^2\,b\,e^7\,x^2+60\,B\,a\,b^2\,e^7\,x^3+90\,A\,a\,c^2\,e^7\,x^4+60\,B\,a^2\,c\,e^7\,x^3+90\,A\,b^2\,c\,e^7\,x^4+180\,A\,b\,c^2\,e^7\,x^5+180\,B\,a\,c^2\,e^7\,x^5+6\,A\,b^3\,d^2\,e^5\,x+15\,A\,b^3\,d\,e^6\,x^2+180\,B\,b^2\,c\,e^7\,x^5-822\,A\,c^3\,d^5\,e^2\,x+12\,B\,b^3\,d^3\,e^4\,x+40\,B\,b^3\,d\,e^6\,x^3-360\,A\,c^3\,d\,e^6\,x^5-360\,B\,c^3\,d\,e^6\,x^6-60\,A\,c^3\,e^7\,x^6\,\ln\left(d+e\,x\right)-1875\,A\,c^3\,d^4\,e^3\,x^2+30\,B\,b^3\,d^2\,e^5\,x^2-2200\,A\,c^3\,d^3\,e^4\,x^3-1350\,A\,c^3\,d^2\,e^5\,x^4+7725\,B\,c^3\,d^5\,e^2\,x^2+8200\,B\,c^3\,d^4\,e^3\,x^3+4050\,B\,c^3\,d^3\,e^4\,x^4+360\,B\,c^3\,d^2\,e^5\,x^5+6\,A\,a^2\,b\,d\,e^6-441\,B\,b\,c^2\,d^6\,e-60\,A\,c^3\,d^6\,e\,\ln\left(d+e\,x\right)+36\,A\,a^2\,b\,e^7\,x+90\,A\,a\,c^2\,d^2\,e^5\,x^2+450\,A\,b\,c^2\,d^3\,e^4\,x^2+90\,A\,b^2\,c\,d^2\,e^5\,x^2+450\,B\,a\,c^2\,d^3\,e^4\,x^2+600\,A\,b\,c^2\,d^2\,e^5\,x^3+600\,B\,a\,c^2\,d^2\,e^5\,x^3-5625\,B\,b\,c^2\,d^4\,e^3\,x^2+450\,B\,b^2\,c\,d^3\,e^4\,x^2-6600\,B\,b\,c^2\,d^3\,e^4\,x^3+600\,B\,b^2\,c\,d^2\,e^5\,x^3-4050\,B\,b\,c^2\,d^2\,e^5\,x^4-900\,A\,c^3\,d^4\,e^3\,x^2\,\ln\left(d+e\,x\right)-1200\,A\,c^3\,d^3\,e^4\,x^3\,\ln\left(d+e\,x\right)-900\,A\,c^3\,d^2\,e^5\,x^4\,\ln\left(d+e\,x\right)+6300\,B\,c^3\,d^5\,e^2\,x^2\,\ln\left(d+e\,x\right)+8400\,B\,c^3\,d^4\,e^3\,x^3\,\ln\left(d+e\,x\right)+6300\,B\,c^3\,d^3\,e^4\,x^4\,\ln\left(d+e\,x\right)+2520\,B\,c^3\,d^2\,e^5\,x^5\,\ln\left(d+e\,x\right)+6\,A\,a\,b\,c\,d^3\,e^4+12\,B\,a\,b\,c\,d^4\,e^3-180\,B\,b\,c^2\,d^6\,e\,\ln\left(d+e\,x\right)+120\,A\,a\,b\,c\,e^7\,x^3+18\,A\,a\,b^2\,d\,e^6\,x+180\,B\,a\,b\,c\,e^7\,x^4+18\,A\,a^2\,c\,d\,e^6\,x+18\,B\,a^2\,b\,d\,e^6\,x+2520\,B\,c^3\,d^6\,e\,x\,\ln\left(d+e\,x\right)+36\,A\,a\,c^2\,d^3\,e^4\,x+18\,B\,a\,b^2\,d^2\,e^5\,x+45\,B\,a\,b^2\,d\,e^6\,x^2+120\,A\,a\,c^2\,d\,e^6\,x^3+180\,A\,b\,c^2\,d^4\,e^3\,x+36\,A\,b^2\,c\,d^3\,e^4\,x+180\,B\,a\,c^2\,d^4\,e^3\,x+18\,B\,a^2\,c\,d^2\,e^5\,x+45\,B\,a^2\,c\,d\,e^6\,x^2+120\,A\,b^2\,c\,d\,e^6\,x^3+450\,A\,b\,c^2\,d\,e^6\,x^4+450\,B\,a\,c^2\,d\,e^6\,x^4-2466\,B\,b\,c^2\,d^5\,e^2\,x+180\,B\,b^2\,c\,d^4\,e^3\,x+450\,B\,b^2\,c\,d\,e^6\,x^4-1080\,B\,b\,c^2\,d\,e^6\,x^5-180\,B\,b\,c^2\,e^7\,x^6\,\ln\left(d+e\,x\right)-360\,A\,c^3\,d^5\,e^2\,x\,\ln\left(d+e\,x\right)-360\,A\,c^3\,d\,e^6\,x^5\,\ln\left(d+e\,x\right)+420\,B\,c^3\,d\,e^6\,x^6\,\ln\left(d+e\,x\right)+180\,B\,a\,b\,c\,d^2\,e^5\,x^2-1080\,B\,b\,c^2\,d^5\,e^2\,x\,\ln\left(d+e\,x\right)-1080\,B\,b\,c^2\,d\,e^6\,x^5\,\ln\left(d+e\,x\right)-2700\,B\,b\,c^2\,d^4\,e^3\,x^2\,\ln\left(d+e\,x\right)-3600\,B\,b\,c^2\,d^3\,e^4\,x^3\,\ln\left(d+e\,x\right)-2700\,B\,b\,c^2\,d^2\,e^5\,x^4\,\ln\left(d+e\,x\right)+36\,A\,a\,b\,c\,d^2\,e^5\,x+90\,A\,a\,b\,c\,d\,e^6\,x^2+72\,B\,a\,b\,c\,d^3\,e^4\,x+240\,B\,a\,b\,c\,d\,e^6\,x^3}{60\,e^8\,{\left(d+e\,x\right)}^6}","Not used",1,"-(10*A*a^3*e^7 + 669*B*c^3*d^7 + 2*B*a^3*d*e^6 - 147*A*c^3*d^6*e + 420*B*c^3*d^7*log(d + e*x) + 12*B*a^3*e^7*x + A*b^3*d^3*e^4 + 2*B*b^3*d^4*e^3 + 20*A*b^3*e^7*x^3 + 30*B*b^3*e^7*x^4 - 60*B*c^3*e^7*x^7 + 3594*B*c^3*d^6*e*x + 3*A*a*b^2*d^2*e^5 + 6*A*a*c^2*d^4*e^3 + 3*A*a^2*c*d^2*e^5 + 3*B*a*b^2*d^3*e^4 + 3*B*a^2*b*d^2*e^5 + 30*A*b*c^2*d^5*e^2 + 6*A*b^2*c*d^4*e^3 + 30*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4 + 30*B*b^2*c*d^5*e^2 + 45*A*a*b^2*e^7*x^2 + 45*A*a^2*c*e^7*x^2 + 45*B*a^2*b*e^7*x^2 + 60*B*a*b^2*e^7*x^3 + 90*A*a*c^2*e^7*x^4 + 60*B*a^2*c*e^7*x^3 + 90*A*b^2*c*e^7*x^4 + 180*A*b*c^2*e^7*x^5 + 180*B*a*c^2*e^7*x^5 + 6*A*b^3*d^2*e^5*x + 15*A*b^3*d*e^6*x^2 + 180*B*b^2*c*e^7*x^5 - 822*A*c^3*d^5*e^2*x + 12*B*b^3*d^3*e^4*x + 40*B*b^3*d*e^6*x^3 - 360*A*c^3*d*e^6*x^5 - 360*B*c^3*d*e^6*x^6 - 60*A*c^3*e^7*x^6*log(d + e*x) - 1875*A*c^3*d^4*e^3*x^2 + 30*B*b^3*d^2*e^5*x^2 - 2200*A*c^3*d^3*e^4*x^3 - 1350*A*c^3*d^2*e^5*x^4 + 7725*B*c^3*d^5*e^2*x^2 + 8200*B*c^3*d^4*e^3*x^3 + 4050*B*c^3*d^3*e^4*x^4 + 360*B*c^3*d^2*e^5*x^5 + 6*A*a^2*b*d*e^6 - 441*B*b*c^2*d^6*e - 60*A*c^3*d^6*e*log(d + e*x) + 36*A*a^2*b*e^7*x + 90*A*a*c^2*d^2*e^5*x^2 + 450*A*b*c^2*d^3*e^4*x^2 + 90*A*b^2*c*d^2*e^5*x^2 + 450*B*a*c^2*d^3*e^4*x^2 + 600*A*b*c^2*d^2*e^5*x^3 + 600*B*a*c^2*d^2*e^5*x^3 - 5625*B*b*c^2*d^4*e^3*x^2 + 450*B*b^2*c*d^3*e^4*x^2 - 6600*B*b*c^2*d^3*e^4*x^3 + 600*B*b^2*c*d^2*e^5*x^3 - 4050*B*b*c^2*d^2*e^5*x^4 - 900*A*c^3*d^4*e^3*x^2*log(d + e*x) - 1200*A*c^3*d^3*e^4*x^3*log(d + e*x) - 900*A*c^3*d^2*e^5*x^4*log(d + e*x) + 6300*B*c^3*d^5*e^2*x^2*log(d + e*x) + 8400*B*c^3*d^4*e^3*x^3*log(d + e*x) + 6300*B*c^3*d^3*e^4*x^4*log(d + e*x) + 2520*B*c^3*d^2*e^5*x^5*log(d + e*x) + 6*A*a*b*c*d^3*e^4 + 12*B*a*b*c*d^4*e^3 - 180*B*b*c^2*d^6*e*log(d + e*x) + 120*A*a*b*c*e^7*x^3 + 18*A*a*b^2*d*e^6*x + 180*B*a*b*c*e^7*x^4 + 18*A*a^2*c*d*e^6*x + 18*B*a^2*b*d*e^6*x + 2520*B*c^3*d^6*e*x*log(d + e*x) + 36*A*a*c^2*d^3*e^4*x + 18*B*a*b^2*d^2*e^5*x + 45*B*a*b^2*d*e^6*x^2 + 120*A*a*c^2*d*e^6*x^3 + 180*A*b*c^2*d^4*e^3*x + 36*A*b^2*c*d^3*e^4*x + 180*B*a*c^2*d^4*e^3*x + 18*B*a^2*c*d^2*e^5*x + 45*B*a^2*c*d*e^6*x^2 + 120*A*b^2*c*d*e^6*x^3 + 450*A*b*c^2*d*e^6*x^4 + 450*B*a*c^2*d*e^6*x^4 - 2466*B*b*c^2*d^5*e^2*x + 180*B*b^2*c*d^4*e^3*x + 450*B*b^2*c*d*e^6*x^4 - 1080*B*b*c^2*d*e^6*x^5 - 180*B*b*c^2*e^7*x^6*log(d + e*x) - 360*A*c^3*d^5*e^2*x*log(d + e*x) - 360*A*c^3*d*e^6*x^5*log(d + e*x) + 420*B*c^3*d*e^6*x^6*log(d + e*x) + 180*B*a*b*c*d^2*e^5*x^2 - 1080*B*b*c^2*d^5*e^2*x*log(d + e*x) - 1080*B*b*c^2*d*e^6*x^5*log(d + e*x) - 2700*B*b*c^2*d^4*e^3*x^2*log(d + e*x) - 3600*B*b*c^2*d^3*e^4*x^3*log(d + e*x) - 2700*B*b*c^2*d^2*e^5*x^4*log(d + e*x) + 36*A*a*b*c*d^2*e^5*x + 90*A*a*b*c*d*e^6*x^2 + 72*B*a*b*c*d^3*e^4*x + 240*B*a*b*c*d*e^6*x^3)/(60*e^8*(d + e*x)^6)","B"
2346,1,1353,548,2.577326,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^8,x)","-\frac{60\,A\,a^3\,e^7-1089\,B\,c^3\,d^7+10\,B\,a^3\,d\,e^6+60\,A\,c^3\,d^6\,e-420\,B\,c^3\,d^7\,\ln\left(d+e\,x\right)+70\,B\,a^3\,e^7\,x+3\,A\,b^3\,d^3\,e^4+4\,B\,b^3\,d^4\,e^3+105\,A\,b^3\,e^7\,x^3+140\,B\,b^3\,e^7\,x^4+420\,A\,c^3\,e^7\,x^6-7203\,B\,c^3\,d^6\,e\,x+12\,A\,a\,b^2\,d^2\,e^5+12\,A\,a\,c^2\,d^4\,e^3+12\,A\,a^2\,c\,d^2\,e^5+9\,B\,a\,b^2\,d^3\,e^4+12\,B\,a^2\,b\,d^2\,e^5+30\,A\,b\,c^2\,d^5\,e^2+12\,A\,b^2\,c\,d^4\,e^3+30\,B\,a\,c^2\,d^5\,e^2+9\,B\,a^2\,c\,d^3\,e^4+30\,B\,b^2\,c\,d^5\,e^2+252\,A\,a\,b^2\,e^7\,x^2+252\,A\,a^2\,c\,e^7\,x^2+252\,B\,a^2\,b\,e^7\,x^2+315\,B\,a\,b^2\,e^7\,x^3+420\,A\,a\,c^2\,e^7\,x^4+315\,B\,a^2\,c\,e^7\,x^3+420\,A\,b^2\,c\,e^7\,x^4+630\,A\,b\,c^2\,e^7\,x^5+630\,B\,a\,c^2\,e^7\,x^5+21\,A\,b^3\,d^2\,e^5\,x+63\,A\,b^3\,d\,e^6\,x^2+630\,B\,b^2\,c\,e^7\,x^5+1260\,B\,b\,c^2\,e^7\,x^6+420\,A\,c^3\,d^5\,e^2\,x+28\,B\,b^3\,d^3\,e^4\,x+140\,B\,b^3\,d\,e^6\,x^3+1260\,A\,c^3\,d\,e^6\,x^5-2940\,B\,c^3\,d\,e^6\,x^6-420\,B\,c^3\,e^7\,x^7\,\ln\left(d+e\,x\right)+1260\,A\,c^3\,d^4\,e^3\,x^2+84\,B\,b^3\,d^2\,e^5\,x^2+2100\,A\,c^3\,d^3\,e^4\,x^3+2100\,A\,c^3\,d^2\,e^5\,x^4-20139\,B\,c^3\,d^5\,e^2\,x^2-30625\,B\,c^3\,d^4\,e^3\,x^3-26950\,B\,c^3\,d^3\,e^4\,x^4-13230\,B\,c^3\,d^2\,e^5\,x^5+30\,A\,a^2\,b\,d\,e^6+180\,B\,b\,c^2\,d^6\,e+210\,A\,a^2\,b\,e^7\,x+252\,A\,a\,c^2\,d^2\,e^5\,x^2+630\,A\,b\,c^2\,d^3\,e^4\,x^2+252\,A\,b^2\,c\,d^2\,e^5\,x^2+630\,B\,a\,c^2\,d^3\,e^4\,x^2+1050\,A\,b\,c^2\,d^2\,e^5\,x^3+1050\,B\,a\,c^2\,d^2\,e^5\,x^3+3780\,B\,b\,c^2\,d^4\,e^3\,x^2+630\,B\,b^2\,c\,d^3\,e^4\,x^2+6300\,B\,b\,c^2\,d^3\,e^4\,x^3+1050\,B\,b^2\,c\,d^2\,e^5\,x^3+6300\,B\,b\,c^2\,d^2\,e^5\,x^4-8820\,B\,c^3\,d^5\,e^2\,x^2\,\ln\left(d+e\,x\right)-14700\,B\,c^3\,d^4\,e^3\,x^3\,\ln\left(d+e\,x\right)-14700\,B\,c^3\,d^3\,e^4\,x^4\,\ln\left(d+e\,x\right)-8820\,B\,c^3\,d^2\,e^5\,x^5\,\ln\left(d+e\,x\right)+18\,A\,a\,b\,c\,d^3\,e^4+24\,B\,a\,b\,c\,d^4\,e^3+630\,A\,a\,b\,c\,e^7\,x^3+84\,A\,a\,b^2\,d\,e^6\,x+840\,B\,a\,b\,c\,e^7\,x^4+84\,A\,a^2\,c\,d\,e^6\,x+84\,B\,a^2\,b\,d\,e^6\,x-2940\,B\,c^3\,d^6\,e\,x\,\ln\left(d+e\,x\right)+84\,A\,a\,c^2\,d^3\,e^4\,x+63\,B\,a\,b^2\,d^2\,e^5\,x+189\,B\,a\,b^2\,d\,e^6\,x^2+420\,A\,a\,c^2\,d\,e^6\,x^3+210\,A\,b\,c^2\,d^4\,e^3\,x+84\,A\,b^2\,c\,d^3\,e^4\,x+210\,B\,a\,c^2\,d^4\,e^3\,x+63\,B\,a^2\,c\,d^2\,e^5\,x+189\,B\,a^2\,c\,d\,e^6\,x^2+420\,A\,b^2\,c\,d\,e^6\,x^3+1050\,A\,b\,c^2\,d\,e^6\,x^4+1050\,B\,a\,c^2\,d\,e^6\,x^4+1260\,B\,b\,c^2\,d^5\,e^2\,x+210\,B\,b^2\,c\,d^4\,e^3\,x+1050\,B\,b^2\,c\,d\,e^6\,x^4+3780\,B\,b\,c^2\,d\,e^6\,x^5-2940\,B\,c^3\,d\,e^6\,x^6\,\ln\left(d+e\,x\right)+504\,B\,a\,b\,c\,d^2\,e^5\,x^2+126\,A\,a\,b\,c\,d^2\,e^5\,x+378\,A\,a\,b\,c\,d\,e^6\,x^2+168\,B\,a\,b\,c\,d^3\,e^4\,x+840\,B\,a\,b\,c\,d\,e^6\,x^3}{420\,e^8\,{\left(d+e\,x\right)}^7}","Not used",1,"-(60*A*a^3*e^7 - 1089*B*c^3*d^7 + 10*B*a^3*d*e^6 + 60*A*c^3*d^6*e - 420*B*c^3*d^7*log(d + e*x) + 70*B*a^3*e^7*x + 3*A*b^3*d^3*e^4 + 4*B*b^3*d^4*e^3 + 105*A*b^3*e^7*x^3 + 140*B*b^3*e^7*x^4 + 420*A*c^3*e^7*x^6 - 7203*B*c^3*d^6*e*x + 12*A*a*b^2*d^2*e^5 + 12*A*a*c^2*d^4*e^3 + 12*A*a^2*c*d^2*e^5 + 9*B*a*b^2*d^3*e^4 + 12*B*a^2*b*d^2*e^5 + 30*A*b*c^2*d^5*e^2 + 12*A*b^2*c*d^4*e^3 + 30*B*a*c^2*d^5*e^2 + 9*B*a^2*c*d^3*e^4 + 30*B*b^2*c*d^5*e^2 + 252*A*a*b^2*e^7*x^2 + 252*A*a^2*c*e^7*x^2 + 252*B*a^2*b*e^7*x^2 + 315*B*a*b^2*e^7*x^3 + 420*A*a*c^2*e^7*x^4 + 315*B*a^2*c*e^7*x^3 + 420*A*b^2*c*e^7*x^4 + 630*A*b*c^2*e^7*x^5 + 630*B*a*c^2*e^7*x^5 + 21*A*b^3*d^2*e^5*x + 63*A*b^3*d*e^6*x^2 + 630*B*b^2*c*e^7*x^5 + 1260*B*b*c^2*e^7*x^6 + 420*A*c^3*d^5*e^2*x + 28*B*b^3*d^3*e^4*x + 140*B*b^3*d*e^6*x^3 + 1260*A*c^3*d*e^6*x^5 - 2940*B*c^3*d*e^6*x^6 - 420*B*c^3*e^7*x^7*log(d + e*x) + 1260*A*c^3*d^4*e^3*x^2 + 84*B*b^3*d^2*e^5*x^2 + 2100*A*c^3*d^3*e^4*x^3 + 2100*A*c^3*d^2*e^5*x^4 - 20139*B*c^3*d^5*e^2*x^2 - 30625*B*c^3*d^4*e^3*x^3 - 26950*B*c^3*d^3*e^4*x^4 - 13230*B*c^3*d^2*e^5*x^5 + 30*A*a^2*b*d*e^6 + 180*B*b*c^2*d^6*e + 210*A*a^2*b*e^7*x + 252*A*a*c^2*d^2*e^5*x^2 + 630*A*b*c^2*d^3*e^4*x^2 + 252*A*b^2*c*d^2*e^5*x^2 + 630*B*a*c^2*d^3*e^4*x^2 + 1050*A*b*c^2*d^2*e^5*x^3 + 1050*B*a*c^2*d^2*e^5*x^3 + 3780*B*b*c^2*d^4*e^3*x^2 + 630*B*b^2*c*d^3*e^4*x^2 + 6300*B*b*c^2*d^3*e^4*x^3 + 1050*B*b^2*c*d^2*e^5*x^3 + 6300*B*b*c^2*d^2*e^5*x^4 - 8820*B*c^3*d^5*e^2*x^2*log(d + e*x) - 14700*B*c^3*d^4*e^3*x^3*log(d + e*x) - 14700*B*c^3*d^3*e^4*x^4*log(d + e*x) - 8820*B*c^3*d^2*e^5*x^5*log(d + e*x) + 18*A*a*b*c*d^3*e^4 + 24*B*a*b*c*d^4*e^3 + 630*A*a*b*c*e^7*x^3 + 84*A*a*b^2*d*e^6*x + 840*B*a*b*c*e^7*x^4 + 84*A*a^2*c*d*e^6*x + 84*B*a^2*b*d*e^6*x - 2940*B*c^3*d^6*e*x*log(d + e*x) + 84*A*a*c^2*d^3*e^4*x + 63*B*a*b^2*d^2*e^5*x + 189*B*a*b^2*d*e^6*x^2 + 420*A*a*c^2*d*e^6*x^3 + 210*A*b*c^2*d^4*e^3*x + 84*A*b^2*c*d^3*e^4*x + 210*B*a*c^2*d^4*e^3*x + 63*B*a^2*c*d^2*e^5*x + 189*B*a^2*c*d*e^6*x^2 + 420*A*b^2*c*d*e^6*x^3 + 1050*A*b*c^2*d*e^6*x^4 + 1050*B*a*c^2*d*e^6*x^4 + 1260*B*b*c^2*d^5*e^2*x + 210*B*b^2*c*d^4*e^3*x + 1050*B*b^2*c*d*e^6*x^4 + 3780*B*b*c^2*d*e^6*x^5 - 2940*B*c^3*d*e^6*x^6*log(d + e*x) + 504*B*a*b*c*d^2*e^5*x^2 + 126*A*a*b*c*d^2*e^5*x + 378*A*a*b*c*d*e^6*x^2 + 168*B*a*b*c*d^3*e^4*x + 840*B*a*b*c*d*e^6*x^3)/(420*e^8*(d + e*x)^7)","B"
2347,1,1115,550,0.278920,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^9,x)","-\frac{\frac{5\,B\,a^3\,d\,e^6+35\,A\,a^3\,e^7+5\,B\,a^2\,b\,d^2\,e^5+15\,A\,a^2\,b\,d\,e^6+3\,B\,a^2\,c\,d^3\,e^4+5\,A\,a^2\,c\,d^2\,e^5+3\,B\,a\,b^2\,d^3\,e^4+5\,A\,a\,b^2\,d^2\,e^5+6\,B\,a\,b\,c\,d^4\,e^3+6\,A\,a\,b\,c\,d^3\,e^4+5\,B\,a\,c^2\,d^5\,e^2+3\,A\,a\,c^2\,d^4\,e^3+B\,b^3\,d^4\,e^3+A\,b^3\,d^3\,e^4+5\,B\,b^2\,c\,d^5\,e^2+3\,A\,b^2\,c\,d^4\,e^3+15\,B\,b\,c^2\,d^6\,e+5\,A\,b\,c^2\,d^5\,e^2+35\,B\,c^3\,d^7+5\,A\,c^3\,d^6\,e}{280\,e^8}+\frac{x^4\,\left(B\,b^3\,e^3+5\,B\,b^2\,c\,d\,e^2+3\,A\,b^2\,c\,e^3+15\,B\,b\,c^2\,d^2\,e+5\,A\,b\,c^2\,d\,e^2+6\,B\,a\,b\,c\,e^3+35\,B\,c^3\,d^3+5\,A\,c^3\,d^2\,e+5\,B\,a\,c^2\,d\,e^2+3\,A\,a\,c^2\,e^3\right)}{4\,e^4}+\frac{x\,\left(5\,B\,a^3\,e^6+5\,B\,a^2\,b\,d\,e^5+15\,A\,a^2\,b\,e^6+3\,B\,a^2\,c\,d^2\,e^4+5\,A\,a^2\,c\,d\,e^5+3\,B\,a\,b^2\,d^2\,e^4+5\,A\,a\,b^2\,d\,e^5+6\,B\,a\,b\,c\,d^3\,e^3+6\,A\,a\,b\,c\,d^2\,e^4+5\,B\,a\,c^2\,d^4\,e^2+3\,A\,a\,c^2\,d^3\,e^3+B\,b^3\,d^3\,e^3+A\,b^3\,d^2\,e^4+5\,B\,b^2\,c\,d^4\,e^2+3\,A\,b^2\,c\,d^3\,e^3+15\,B\,b\,c^2\,d^5\,e+5\,A\,b\,c^2\,d^4\,e^2+35\,B\,c^3\,d^6+5\,A\,c^3\,d^5\,e\right)}{35\,e^7}+\frac{x^2\,\left(5\,B\,a^2\,b\,e^5+3\,B\,a^2\,c\,d\,e^4+5\,A\,a^2\,c\,e^5+3\,B\,a\,b^2\,d\,e^4+5\,A\,a\,b^2\,e^5+6\,B\,a\,b\,c\,d^2\,e^3+6\,A\,a\,b\,c\,d\,e^4+5\,B\,a\,c^2\,d^3\,e^2+3\,A\,a\,c^2\,d^2\,e^3+B\,b^3\,d^2\,e^3+A\,b^3\,d\,e^4+5\,B\,b^2\,c\,d^3\,e^2+3\,A\,b^2\,c\,d^2\,e^3+15\,B\,b\,c^2\,d^4\,e+5\,A\,b\,c^2\,d^3\,e^2+35\,B\,c^3\,d^5+5\,A\,c^3\,d^4\,e\right)}{10\,e^6}+\frac{x^5\,\left(B\,b^2\,c\,e^2+3\,B\,b\,c^2\,d\,e+A\,b\,c^2\,e^2+7\,B\,c^3\,d^2+A\,c^3\,d\,e+B\,a\,c^2\,e^2\right)}{e^3}+\frac{x^3\,\left(3\,B\,a^2\,c\,e^4+3\,B\,a\,b^2\,e^4+6\,B\,a\,b\,c\,d\,e^3+6\,A\,a\,b\,c\,e^4+5\,B\,a\,c^2\,d^2\,e^2+3\,A\,a\,c^2\,d\,e^3+B\,b^3\,d\,e^3+A\,b^3\,e^4+5\,B\,b^2\,c\,d^2\,e^2+3\,A\,b^2\,c\,d\,e^3+15\,B\,b\,c^2\,d^3\,e+5\,A\,b\,c^2\,d^2\,e^2+35\,B\,c^3\,d^4+5\,A\,c^3\,d^3\,e\right)}{5\,e^5}+\frac{c^2\,x^6\,\left(A\,c\,e+3\,B\,b\,e+7\,B\,c\,d\right)}{2\,e^2}+\frac{B\,c^3\,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,"-((35*A*a^3*e^7 + 35*B*c^3*d^7 + 5*B*a^3*d*e^6 + 5*A*c^3*d^6*e + A*b^3*d^3*e^4 + B*b^3*d^4*e^3 + 5*A*a*b^2*d^2*e^5 + 3*A*a*c^2*d^4*e^3 + 5*A*a^2*c*d^2*e^5 + 3*B*a*b^2*d^3*e^4 + 5*B*a^2*b*d^2*e^5 + 5*A*b*c^2*d^5*e^2 + 3*A*b^2*c*d^4*e^3 + 5*B*a*c^2*d^5*e^2 + 3*B*a^2*c*d^3*e^4 + 5*B*b^2*c*d^5*e^2 + 15*A*a^2*b*d*e^6 + 15*B*b*c^2*d^6*e + 6*A*a*b*c*d^3*e^4 + 6*B*a*b*c*d^4*e^3)/(280*e^8) + (x^4*(B*b^3*e^3 + 35*B*c^3*d^3 + 3*A*a*c^2*e^3 + 3*A*b^2*c*e^3 + 5*A*c^3*d^2*e + 6*B*a*b*c*e^3 + 5*A*b*c^2*d*e^2 + 5*B*a*c^2*d*e^2 + 15*B*b*c^2*d^2*e + 5*B*b^2*c*d*e^2))/(4*e^4) + (x*(5*B*a^3*e^6 + 35*B*c^3*d^6 + 15*A*a^2*b*e^6 + 5*A*c^3*d^5*e + A*b^3*d^2*e^4 + B*b^3*d^3*e^3 + 3*A*a*c^2*d^3*e^3 + 3*B*a*b^2*d^2*e^4 + 5*A*b*c^2*d^4*e^2 + 3*A*b^2*c*d^3*e^3 + 5*B*a*c^2*d^4*e^2 + 3*B*a^2*c*d^2*e^4 + 5*B*b^2*c*d^4*e^2 + 5*A*a*b^2*d*e^5 + 5*A*a^2*c*d*e^5 + 5*B*a^2*b*d*e^5 + 15*B*b*c^2*d^5*e + 6*A*a*b*c*d^2*e^4 + 6*B*a*b*c*d^3*e^3))/(35*e^7) + (x^2*(35*B*c^3*d^5 + 5*A*a*b^2*e^5 + 5*A*a^2*c*e^5 + 5*B*a^2*b*e^5 + A*b^3*d*e^4 + 5*A*c^3*d^4*e + B*b^3*d^2*e^3 + 3*A*a*c^2*d^2*e^3 + 5*A*b*c^2*d^3*e^2 + 3*A*b^2*c*d^2*e^3 + 5*B*a*c^2*d^3*e^2 + 5*B*b^2*c*d^3*e^2 + 3*B*a*b^2*d*e^4 + 3*B*a^2*c*d*e^4 + 15*B*b*c^2*d^4*e + 6*B*a*b*c*d^2*e^3 + 6*A*a*b*c*d*e^4))/(10*e^6) + (x^5*(7*B*c^3*d^2 + A*c^3*d*e + A*b*c^2*e^2 + B*a*c^2*e^2 + B*b^2*c*e^2 + 3*B*b*c^2*d*e))/e^3 + (x^3*(A*b^3*e^4 + 35*B*c^3*d^4 + 3*B*a*b^2*e^4 + 3*B*a^2*c*e^4 + 5*A*c^3*d^3*e + B*b^3*d*e^3 + 5*A*b*c^2*d^2*e^2 + 5*B*a*c^2*d^2*e^2 + 5*B*b^2*c*d^2*e^2 + 6*A*a*b*c*e^4 + 3*A*a*c^2*d*e^3 + 3*A*b^2*c*d*e^3 + 15*B*b*c^2*d^3*e + 6*B*a*b*c*d*e^3))/(5*e^5) + (c^2*x^6*(A*c*e + 3*B*b*e + 7*B*c*d))/(2*e^2) + (B*c^3*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"
2348,1,1142,555,2.567543,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^10,x)","-\frac{\frac{35\,B\,a^3\,d\,e^6+280\,A\,a^3\,e^7+30\,B\,a^2\,b\,d^2\,e^5+105\,A\,a^2\,b\,d\,e^6+15\,B\,a^2\,c\,d^3\,e^4+30\,A\,a^2\,c\,d^2\,e^5+15\,B\,a\,b^2\,d^3\,e^4+30\,A\,a\,b^2\,d^2\,e^5+24\,B\,a\,b\,c\,d^4\,e^3+30\,A\,a\,b\,c\,d^3\,e^4+15\,B\,a\,c^2\,d^5\,e^2+12\,A\,a\,c^2\,d^4\,e^3+4\,B\,b^3\,d^4\,e^3+5\,A\,b^3\,d^3\,e^4+15\,B\,b^2\,c\,d^5\,e^2+12\,A\,b^2\,c\,d^4\,e^3+30\,B\,b\,c^2\,d^6\,e+15\,A\,b\,c^2\,d^5\,e^2+35\,B\,c^3\,d^7+10\,A\,c^3\,d^6\,e}{2520\,e^8}+\frac{x^4\,\left(4\,B\,b^3\,e^3+15\,B\,b^2\,c\,d\,e^2+12\,A\,b^2\,c\,e^3+30\,B\,b\,c^2\,d^2\,e+15\,A\,b\,c^2\,d\,e^2+24\,B\,a\,b\,c\,e^3+35\,B\,c^3\,d^3+10\,A\,c^3\,d^2\,e+15\,B\,a\,c^2\,d\,e^2+12\,A\,a\,c^2\,e^3\right)}{20\,e^4}+\frac{x\,\left(35\,B\,a^3\,e^6+30\,B\,a^2\,b\,d\,e^5+105\,A\,a^2\,b\,e^6+15\,B\,a^2\,c\,d^2\,e^4+30\,A\,a^2\,c\,d\,e^5+15\,B\,a\,b^2\,d^2\,e^4+30\,A\,a\,b^2\,d\,e^5+24\,B\,a\,b\,c\,d^3\,e^3+30\,A\,a\,b\,c\,d^2\,e^4+15\,B\,a\,c^2\,d^4\,e^2+12\,A\,a\,c^2\,d^3\,e^3+4\,B\,b^3\,d^3\,e^3+5\,A\,b^3\,d^2\,e^4+15\,B\,b^2\,c\,d^4\,e^2+12\,A\,b^2\,c\,d^3\,e^3+30\,B\,b\,c^2\,d^5\,e+15\,A\,b\,c^2\,d^4\,e^2+35\,B\,c^3\,d^6+10\,A\,c^3\,d^5\,e\right)}{280\,e^7}+\frac{x^2\,\left(30\,B\,a^2\,b\,e^5+15\,B\,a^2\,c\,d\,e^4+30\,A\,a^2\,c\,e^5+15\,B\,a\,b^2\,d\,e^4+30\,A\,a\,b^2\,e^5+24\,B\,a\,b\,c\,d^2\,e^3+30\,A\,a\,b\,c\,d\,e^4+15\,B\,a\,c^2\,d^3\,e^2+12\,A\,a\,c^2\,d^2\,e^3+4\,B\,b^3\,d^2\,e^3+5\,A\,b^3\,d\,e^4+15\,B\,b^2\,c\,d^3\,e^2+12\,A\,b^2\,c\,d^2\,e^3+30\,B\,b\,c^2\,d^4\,e+15\,A\,b\,c^2\,d^3\,e^2+35\,B\,c^3\,d^5+10\,A\,c^3\,d^4\,e\right)}{70\,e^6}+\frac{x^5\,\left(3\,B\,b^2\,c\,e^2+6\,B\,b\,c^2\,d\,e+3\,A\,b\,c^2\,e^2+7\,B\,c^3\,d^2+2\,A\,c^3\,d\,e+3\,B\,a\,c^2\,e^2\right)}{4\,e^3}+\frac{x^3\,\left(15\,B\,a^2\,c\,e^4+15\,B\,a\,b^2\,e^4+24\,B\,a\,b\,c\,d\,e^3+30\,A\,a\,b\,c\,e^4+15\,B\,a\,c^2\,d^2\,e^2+12\,A\,a\,c^2\,d\,e^3+4\,B\,b^3\,d\,e^3+5\,A\,b^3\,e^4+15\,B\,b^2\,c\,d^2\,e^2+12\,A\,b^2\,c\,d\,e^3+30\,B\,b\,c^2\,d^3\,e+15\,A\,b\,c^2\,d^2\,e^2+35\,B\,c^3\,d^4+10\,A\,c^3\,d^3\,e\right)}{30\,e^5}+\frac{c^2\,x^6\,\left(2\,A\,c\,e+6\,B\,b\,e+7\,B\,c\,d\right)}{6\,e^2}+\frac{B\,c^3\,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,"-((280*A*a^3*e^7 + 35*B*c^3*d^7 + 35*B*a^3*d*e^6 + 10*A*c^3*d^6*e + 5*A*b^3*d^3*e^4 + 4*B*b^3*d^4*e^3 + 30*A*a*b^2*d^2*e^5 + 12*A*a*c^2*d^4*e^3 + 30*A*a^2*c*d^2*e^5 + 15*B*a*b^2*d^3*e^4 + 30*B*a^2*b*d^2*e^5 + 15*A*b*c^2*d^5*e^2 + 12*A*b^2*c*d^4*e^3 + 15*B*a*c^2*d^5*e^2 + 15*B*a^2*c*d^3*e^4 + 15*B*b^2*c*d^5*e^2 + 105*A*a^2*b*d*e^6 + 30*B*b*c^2*d^6*e + 30*A*a*b*c*d^3*e^4 + 24*B*a*b*c*d^4*e^3)/(2520*e^8) + (x^4*(4*B*b^3*e^3 + 35*B*c^3*d^3 + 12*A*a*c^2*e^3 + 12*A*b^2*c*e^3 + 10*A*c^3*d^2*e + 24*B*a*b*c*e^3 + 15*A*b*c^2*d*e^2 + 15*B*a*c^2*d*e^2 + 30*B*b*c^2*d^2*e + 15*B*b^2*c*d*e^2))/(20*e^4) + (x*(35*B*a^3*e^6 + 35*B*c^3*d^6 + 105*A*a^2*b*e^6 + 10*A*c^3*d^5*e + 5*A*b^3*d^2*e^4 + 4*B*b^3*d^3*e^3 + 12*A*a*c^2*d^3*e^3 + 15*B*a*b^2*d^2*e^4 + 15*A*b*c^2*d^4*e^2 + 12*A*b^2*c*d^3*e^3 + 15*B*a*c^2*d^4*e^2 + 15*B*a^2*c*d^2*e^4 + 15*B*b^2*c*d^4*e^2 + 30*A*a*b^2*d*e^5 + 30*A*a^2*c*d*e^5 + 30*B*a^2*b*d*e^5 + 30*B*b*c^2*d^5*e + 30*A*a*b*c*d^2*e^4 + 24*B*a*b*c*d^3*e^3))/(280*e^7) + (x^2*(35*B*c^3*d^5 + 30*A*a*b^2*e^5 + 30*A*a^2*c*e^5 + 30*B*a^2*b*e^5 + 5*A*b^3*d*e^4 + 10*A*c^3*d^4*e + 4*B*b^3*d^2*e^3 + 12*A*a*c^2*d^2*e^3 + 15*A*b*c^2*d^3*e^2 + 12*A*b^2*c*d^2*e^3 + 15*B*a*c^2*d^3*e^2 + 15*B*b^2*c*d^3*e^2 + 15*B*a*b^2*d*e^4 + 15*B*a^2*c*d*e^4 + 30*B*b*c^2*d^4*e + 24*B*a*b*c*d^2*e^3 + 30*A*a*b*c*d*e^4))/(70*e^6) + (x^5*(7*B*c^3*d^2 + 2*A*c^3*d*e + 3*A*b*c^2*e^2 + 3*B*a*c^2*e^2 + 3*B*b^2*c*e^2 + 6*B*b*c^2*d*e))/(4*e^3) + (x^3*(5*A*b^3*e^4 + 35*B*c^3*d^4 + 15*B*a*b^2*e^4 + 15*B*a^2*c*e^4 + 10*A*c^3*d^3*e + 4*B*b^3*d*e^3 + 15*A*b*c^2*d^2*e^2 + 15*B*a*c^2*d^2*e^2 + 15*B*b^2*c*d^2*e^2 + 30*A*a*b*c*e^4 + 12*A*a*c^2*d*e^3 + 12*A*b^2*c*d*e^3 + 30*B*b*c^2*d^3*e + 24*B*a*b*c*d*e^3))/(30*e^5) + (c^2*x^6*(2*A*c*e + 6*B*b*e + 7*B*c*d))/(6*e^2) + (B*c^3*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"
2349,1,1153,555,2.679661,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^3)/(d + e*x)^11,x)","-\frac{\frac{28\,B\,a^3\,d\,e^6+252\,A\,a^3\,e^7+21\,B\,a^2\,b\,d^2\,e^5+84\,A\,a^2\,b\,d\,e^6+9\,B\,a^2\,c\,d^3\,e^4+21\,A\,a^2\,c\,d^2\,e^5+9\,B\,a\,b^2\,d^3\,e^4+21\,A\,a\,b^2\,d^2\,e^5+12\,B\,a\,b\,c\,d^4\,e^3+18\,A\,a\,b\,c\,d^3\,e^4+6\,B\,a\,c^2\,d^5\,e^2+6\,A\,a\,c^2\,d^4\,e^3+2\,B\,b^3\,d^4\,e^3+3\,A\,b^3\,d^3\,e^4+6\,B\,b^2\,c\,d^5\,e^2+6\,A\,b^2\,c\,d^4\,e^3+9\,B\,b\,c^2\,d^6\,e+6\,A\,b\,c^2\,d^5\,e^2+7\,B\,c^3\,d^7+3\,A\,c^3\,d^6\,e}{2520\,e^8}+\frac{x^4\,\left(2\,B\,b^3\,e^3+6\,B\,b^2\,c\,d\,e^2+6\,A\,b^2\,c\,e^3+9\,B\,b\,c^2\,d^2\,e+6\,A\,b\,c^2\,d\,e^2+12\,B\,a\,b\,c\,e^3+7\,B\,c^3\,d^3+3\,A\,c^3\,d^2\,e+6\,B\,a\,c^2\,d\,e^2+6\,A\,a\,c^2\,e^3\right)}{12\,e^4}+\frac{x\,\left(28\,B\,a^3\,e^6+21\,B\,a^2\,b\,d\,e^5+84\,A\,a^2\,b\,e^6+9\,B\,a^2\,c\,d^2\,e^4+21\,A\,a^2\,c\,d\,e^5+9\,B\,a\,b^2\,d^2\,e^4+21\,A\,a\,b^2\,d\,e^5+12\,B\,a\,b\,c\,d^3\,e^3+18\,A\,a\,b\,c\,d^2\,e^4+6\,B\,a\,c^2\,d^4\,e^2+6\,A\,a\,c^2\,d^3\,e^3+2\,B\,b^3\,d^3\,e^3+3\,A\,b^3\,d^2\,e^4+6\,B\,b^2\,c\,d^4\,e^2+6\,A\,b^2\,c\,d^3\,e^3+9\,B\,b\,c^2\,d^5\,e+6\,A\,b\,c^2\,d^4\,e^2+7\,B\,c^3\,d^6+3\,A\,c^3\,d^5\,e\right)}{252\,e^7}+\frac{x^2\,\left(21\,B\,a^2\,b\,e^5+9\,B\,a^2\,c\,d\,e^4+21\,A\,a^2\,c\,e^5+9\,B\,a\,b^2\,d\,e^4+21\,A\,a\,b^2\,e^5+12\,B\,a\,b\,c\,d^2\,e^3+18\,A\,a\,b\,c\,d\,e^4+6\,B\,a\,c^2\,d^3\,e^2+6\,A\,a\,c^2\,d^2\,e^3+2\,B\,b^3\,d^2\,e^3+3\,A\,b^3\,d\,e^4+6\,B\,b^2\,c\,d^3\,e^2+6\,A\,b^2\,c\,d^2\,e^3+9\,B\,b\,c^2\,d^4\,e+6\,A\,b\,c^2\,d^3\,e^2+7\,B\,c^3\,d^5+3\,A\,c^3\,d^4\,e\right)}{56\,e^6}+\frac{x^5\,\left(6\,B\,b^2\,c\,e^2+9\,B\,b\,c^2\,d\,e+6\,A\,b\,c^2\,e^2+7\,B\,c^3\,d^2+3\,A\,c^3\,d\,e+6\,B\,a\,c^2\,e^2\right)}{10\,e^3}+\frac{x^3\,\left(9\,B\,a^2\,c\,e^4+9\,B\,a\,b^2\,e^4+12\,B\,a\,b\,c\,d\,e^3+18\,A\,a\,b\,c\,e^4+6\,B\,a\,c^2\,d^2\,e^2+6\,A\,a\,c^2\,d\,e^3+2\,B\,b^3\,d\,e^3+3\,A\,b^3\,e^4+6\,B\,b^2\,c\,d^2\,e^2+6\,A\,b^2\,c\,d\,e^3+9\,B\,b\,c^2\,d^3\,e+6\,A\,b\,c^2\,d^2\,e^2+7\,B\,c^3\,d^4+3\,A\,c^3\,d^3\,e\right)}{21\,e^5}+\frac{c^2\,x^6\,\left(3\,A\,c\,e+9\,B\,b\,e+7\,B\,c\,d\right)}{12\,e^2}+\frac{B\,c^3\,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^3*e^7 + 7*B*c^3*d^7 + 28*B*a^3*d*e^6 + 3*A*c^3*d^6*e + 3*A*b^3*d^3*e^4 + 2*B*b^3*d^4*e^3 + 21*A*a*b^2*d^2*e^5 + 6*A*a*c^2*d^4*e^3 + 21*A*a^2*c*d^2*e^5 + 9*B*a*b^2*d^3*e^4 + 21*B*a^2*b*d^2*e^5 + 6*A*b*c^2*d^5*e^2 + 6*A*b^2*c*d^4*e^3 + 6*B*a*c^2*d^5*e^2 + 9*B*a^2*c*d^3*e^4 + 6*B*b^2*c*d^5*e^2 + 84*A*a^2*b*d*e^6 + 9*B*b*c^2*d^6*e + 18*A*a*b*c*d^3*e^4 + 12*B*a*b*c*d^4*e^3)/(2520*e^8) + (x^4*(2*B*b^3*e^3 + 7*B*c^3*d^3 + 6*A*a*c^2*e^3 + 6*A*b^2*c*e^3 + 3*A*c^3*d^2*e + 12*B*a*b*c*e^3 + 6*A*b*c^2*d*e^2 + 6*B*a*c^2*d*e^2 + 9*B*b*c^2*d^2*e + 6*B*b^2*c*d*e^2))/(12*e^4) + (x*(28*B*a^3*e^6 + 7*B*c^3*d^6 + 84*A*a^2*b*e^6 + 3*A*c^3*d^5*e + 3*A*b^3*d^2*e^4 + 2*B*b^3*d^3*e^3 + 6*A*a*c^2*d^3*e^3 + 9*B*a*b^2*d^2*e^4 + 6*A*b*c^2*d^4*e^2 + 6*A*b^2*c*d^3*e^3 + 6*B*a*c^2*d^4*e^2 + 9*B*a^2*c*d^2*e^4 + 6*B*b^2*c*d^4*e^2 + 21*A*a*b^2*d*e^5 + 21*A*a^2*c*d*e^5 + 21*B*a^2*b*d*e^5 + 9*B*b*c^2*d^5*e + 18*A*a*b*c*d^2*e^4 + 12*B*a*b*c*d^3*e^3))/(252*e^7) + (x^2*(7*B*c^3*d^5 + 21*A*a*b^2*e^5 + 21*A*a^2*c*e^5 + 21*B*a^2*b*e^5 + 3*A*b^3*d*e^4 + 3*A*c^3*d^4*e + 2*B*b^3*d^2*e^3 + 6*A*a*c^2*d^2*e^3 + 6*A*b*c^2*d^3*e^2 + 6*A*b^2*c*d^2*e^3 + 6*B*a*c^2*d^3*e^2 + 6*B*b^2*c*d^3*e^2 + 9*B*a*b^2*d*e^4 + 9*B*a^2*c*d*e^4 + 9*B*b*c^2*d^4*e + 12*B*a*b*c*d^2*e^3 + 18*A*a*b*c*d*e^4))/(56*e^6) + (x^5*(7*B*c^3*d^2 + 3*A*c^3*d*e + 6*A*b*c^2*e^2 + 6*B*a*c^2*e^2 + 6*B*b^2*c*e^2 + 9*B*b*c^2*d*e))/(10*e^3) + (x^3*(3*A*b^3*e^4 + 7*B*c^3*d^4 + 9*B*a*b^2*e^4 + 9*B*a^2*c*e^4 + 3*A*c^3*d^3*e + 2*B*b^3*d*e^3 + 6*A*b*c^2*d^2*e^2 + 6*B*a*c^2*d^2*e^2 + 6*B*b^2*c*d^2*e^2 + 18*A*a*b*c*e^4 + 6*A*a*c^2*d*e^3 + 6*A*b^2*c*d*e^3 + 9*B*b*c^2*d^3*e + 12*B*a*b*c*d*e^3))/(21*e^5) + (c^2*x^6*(3*A*c*e + 9*B*b*e + 7*B*c*d))/(12*e^2) + (B*c^3*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"
2350,1,300,121,2.547774,"\text{Not used}","int(x*(d + e*x)^m*(a + b*x + c*x^2),x)","{\left(d+e\,x\right)}^m\,\left(\frac{c\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{d^2\,\left(6\,c\,d^2-2\,b\,d\,e\,m-8\,b\,d\,e+a\,e^2\,m^2+7\,a\,e^2\,m+12\,a\,e^2\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^3\,\left(4\,b\,e+b\,e\,m+c\,d\,m\right)\,\left(m^2+3\,m+2\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^2\,\left(m+1\right)\,\left(-3\,c\,d^2\,m+b\,d\,e\,m^2+4\,b\,d\,e\,m+a\,e^2\,m^2+7\,a\,e^2\,m+12\,a\,e^2\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{d\,m\,x\,\left(6\,c\,d^2-2\,b\,d\,e\,m-8\,b\,d\,e+a\,e^2\,m^2+7\,a\,e^2\,m+12\,a\,e^2\right)}{e^3\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}\right)","Not used",1,"(d + e*x)^m*((c*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (d^2*(12*a*e^2 + 6*c*d^2 + a*e^2*m^2 - 8*b*d*e + 7*a*e^2*m - 2*b*d*e*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^3*(4*b*e + b*e*m + c*d*m)*(3*m + m^2 + 2))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^2*(m + 1)*(12*a*e^2 + a*e^2*m^2 + 7*a*e^2*m - 3*c*d^2*m + b*d*e*m^2 + 4*b*d*e*m))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (d*m*x*(12*a*e^2 + 6*c*d^2 + a*e^2*m^2 - 8*b*d*e + 7*a*e^2*m - 2*b*d*e*m))/(e^3*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)))","B"
2351,1,160,103,2.357542,"\text{Not used}","int(x*(d + e*x)^5*(a + b*x + c*x^2),x)","x^3\,\left(\frac{b\,d^5}{3}+\frac{5\,a\,e\,d^4}{3}\right)+x^8\,\left(\frac{b\,e^5}{8}+\frac{5\,c\,d\,e^4}{8}\right)+x^4\,\left(\frac{c\,d^5}{4}+\frac{5\,b\,d^4\,e}{4}+\frac{5\,a\,d^3\,e^2}{2}\right)+x^7\,\left(\frac{10\,c\,d^2\,e^3}{7}+\frac{5\,b\,d\,e^4}{7}+\frac{a\,e^5}{7}\right)+\frac{a\,d^5\,x^2}{2}+\frac{c\,e^5\,x^9}{9}+d^2\,e\,x^5\,\left(c\,d^2+2\,b\,d\,e+2\,a\,e^2\right)+\frac{5\,d\,e^2\,x^6\,\left(2\,c\,d^2+2\,b\,d\,e+a\,e^2\right)}{6}","Not used",1,"x^3*((b*d^5)/3 + (5*a*d^4*e)/3) + x^8*((b*e^5)/8 + (5*c*d*e^4)/8) + x^4*((c*d^5)/4 + (5*a*d^3*e^2)/2 + (5*b*d^4*e)/4) + x^7*((a*e^5)/7 + (10*c*d^2*e^3)/7 + (5*b*d*e^4)/7) + (a*d^5*x^2)/2 + (c*e^5*x^9)/9 + d^2*e*x^5*(2*a*e^2 + c*d^2 + 2*b*d*e) + (5*d*e^2*x^6*(a*e^2 + 2*c*d^2 + 2*b*d*e))/6","B"
2352,1,132,103,0.055651,"\text{Not used}","int(x*(d + e*x)^4*(a + b*x + c*x^2),x)","x^3\,\left(\frac{b\,d^4}{3}+\frac{4\,a\,e\,d^3}{3}\right)+x^7\,\left(\frac{b\,e^4}{7}+\frac{4\,c\,d\,e^3}{7}\right)+x^4\,\left(\frac{c\,d^4}{4}+b\,d^3\,e+\frac{3\,a\,d^2\,e^2}{2}\right)+x^6\,\left(c\,d^2\,e^2+\frac{2\,b\,d\,e^3}{3}+\frac{a\,e^4}{6}\right)+\frac{a\,d^4\,x^2}{2}+\frac{c\,e^4\,x^8}{8}+\frac{2\,d\,e\,x^5\,\left(2\,c\,d^2+3\,b\,d\,e+2\,a\,e^2\right)}{5}","Not used",1,"x^3*((b*d^4)/3 + (4*a*d^3*e)/3) + x^7*((b*e^4)/7 + (4*c*d*e^3)/7) + x^4*((c*d^4)/4 + (3*a*d^2*e^2)/2 + b*d^3*e) + x^6*((a*e^4)/6 + c*d^2*e^2 + (2*b*d*e^3)/3) + (a*d^4*x^2)/2 + (c*e^4*x^8)/8 + (2*d*e*x^5*(2*a*e^2 + 2*c*d^2 + 3*b*d*e))/5","B"
2353,1,104,103,2.237276,"\text{Not used}","int(x*(d + e*x)^3*(a + b*x + c*x^2),x)","x^3\,\left(\frac{b\,d^3}{3}+a\,e\,d^2\right)+x^6\,\left(\frac{b\,e^3}{6}+\frac{c\,d\,e^2}{2}\right)+x^4\,\left(\frac{c\,d^3}{4}+\frac{3\,b\,d^2\,e}{4}+\frac{3\,a\,d\,e^2}{4}\right)+x^5\,\left(\frac{3\,c\,d^2\,e}{5}+\frac{3\,b\,d\,e^2}{5}+\frac{a\,e^3}{5}\right)+\frac{a\,d^3\,x^2}{2}+\frac{c\,e^3\,x^7}{7}","Not used",1,"x^3*((b*d^3)/3 + a*d^2*e) + x^6*((b*e^3)/6 + (c*d*e^2)/2) + x^4*((c*d^3)/4 + (3*a*d*e^2)/4 + (3*b*d^2*e)/4) + x^5*((a*e^3)/5 + (3*b*d*e^2)/5 + (3*c*d^2*e)/5) + (a*d^3*x^2)/2 + (c*e^3*x^7)/7","B"
2354,1,73,78,0.033475,"\text{Not used}","int(x*(d + e*x)^2*(a + b*x + c*x^2),x)","x^4\,\left(\frac{c\,d^2}{4}+\frac{b\,d\,e}{2}+\frac{a\,e^2}{4}\right)+x^3\,\left(\frac{b\,d^2}{3}+\frac{2\,a\,e\,d}{3}\right)+x^5\,\left(\frac{b\,e^2}{5}+\frac{2\,c\,d\,e}{5}\right)+\frac{a\,d^2\,x^2}{2}+\frac{c\,e^2\,x^6}{6}","Not used",1,"x^4*((a*e^2)/4 + (c*d^2)/4 + (b*d*e)/2) + x^3*((b*d^2)/3 + (2*a*d*e)/3) + x^5*((b*e^2)/5 + (2*c*d*e)/5) + (a*d^2*x^2)/2 + (c*e^2*x^6)/6","B"
2355,1,41,47,0.043218,"\text{Not used}","int(x*(d + e*x)*(a + b*x + c*x^2),x)","\frac{c\,e\,x^5}{5}+\left(\frac{b\,e}{4}+\frac{c\,d}{4}\right)\,x^4+\left(\frac{a\,e}{3}+\frac{b\,d}{3}\right)\,x^3+\frac{a\,d\,x^2}{2}","Not used",1,"x^3*((a*e)/3 + (b*d)/3) + x^4*((b*e)/4 + (c*d)/4) + (a*d*x^2)/2 + (c*e*x^5)/5","B"
2356,1,19,25,0.028621,"\text{Not used}","int(x*(a + b*x + c*x^2),x)","\frac{x^2\,\left(3\,c\,x^2+4\,b\,x+6\,a\right)}{12}","Not used",1,"(x^2*(6*a + 4*b*x + 3*c*x^2))/12","B"
2357,1,85,79,2.344036,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x),x)","x^2\,\left(\frac{b}{2\,e}-\frac{c\,d}{2\,e^2}\right)+x\,\left(\frac{a}{e}-\frac{d\,\left(\frac{b}{e}-\frac{c\,d}{e^2}\right)}{e}\right)-\frac{\ln\left(d+e\,x\right)\,\left(c\,d^3-b\,d^2\,e+a\,d\,e^2\right)}{e^4}+\frac{c\,x^3}{3\,e}","Not used",1,"x^2*(b/(2*e) - (c*d)/(2*e^2)) + x*(a/e - (d*(b/e - (c*d)/e^2))/e) - (log(d + e*x)*(c*d^3 + a*d*e^2 - b*d^2*e))/e^4 + (c*x^3)/(3*e)","B"
2358,1,88,84,2.335662,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^2,x)","x\,\left(\frac{b}{e^2}-\frac{2\,c\,d}{e^3}\right)+\frac{c\,x^2}{2\,e^2}+\frac{\ln\left(d+e\,x\right)\,\left(3\,c\,d^2-2\,b\,d\,e+a\,e^2\right)}{e^4}+\frac{c\,d^3-b\,d^2\,e+a\,d\,e^2}{e\,\left(x\,e^4+d\,e^3\right)}","Not used",1,"x*(b/e^2 - (2*c*d)/e^3) + (c*x^2)/(2*e^2) + (log(d + e*x)*(a*e^2 + 3*c*d^2 - 2*b*d*e))/e^4 + (c*d^3 + a*d*e^2 - b*d^2*e)/(e*(d*e^3 + e^4*x))","B"
2359,1,96,89,2.351160,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^3,x)","\frac{\ln\left(d+e\,x\right)\,\left(b\,e-3\,c\,d\right)}{e^4}-\frac{x\,\left(3\,c\,d^2-2\,b\,d\,e+a\,e^2\right)+\frac{5\,c\,d^3-3\,b\,d^2\,e+a\,d\,e^2}{2\,e}}{d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2}+\frac{c\,x}{e^3}","Not used",1,"(log(d + e*x)*(b*e - 3*c*d))/e^4 - (x*(a*e^2 + 3*c*d^2 - 2*b*d*e) + (5*c*d^3 + a*d*e^2 - 3*b*d^2*e)/(2*e))/(d^2*e^3 + e^5*x^2 + 2*d*e^4*x) + (c*x)/e^3","B"
2360,1,107,96,0.084785,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^4,x)","\frac{c\,\ln\left(d+e\,x\right)}{e^4}-\frac{\frac{-11\,c\,d^3+2\,b\,d^2\,e+a\,d\,e^2}{6\,e^4}+\frac{x\,\left(-9\,c\,d^2+2\,b\,d\,e+a\,e^2\right)}{2\,e^3}+\frac{x^2\,\left(b\,e-3\,c\,d\right)}{e^2}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3}","Not used",1,"(c*log(d + e*x))/e^4 - ((a*d*e^2 - 11*c*d^3 + 2*b*d^2*e)/(6*e^4) + (x*(a*e^2 - 9*c*d^2 + 2*b*d*e))/(2*e^3) + (x^2*(b*e - 3*c*d))/e^2)/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)","B"
2361,1,111,101,0.057024,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^5,x)","-\frac{\frac{c\,x^3}{e}+\frac{d\,\left(3\,c\,d^2+b\,d\,e+a\,e^2\right)}{12\,e^4}+\frac{x\,\left(3\,c\,d^2+b\,d\,e+a\,e^2\right)}{3\,e^3}+\frac{x^2\,\left(b\,e+3\,c\,d\right)}{2\,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,"-((c*x^3)/e + (d*(a*e^2 + 3*c*d^2 + b*d*e))/(12*e^4) + (x*(a*e^2 + 3*c*d^2 + b*d*e))/(3*e^3) + (x^2*(b*e + 3*c*d))/(2*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"
2362,1,128,103,0.064220,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^6,x)","-\frac{\frac{c\,x^3}{2\,e}+\frac{d\,\left(3\,c\,d^2+2\,b\,d\,e+3\,a\,e^2\right)}{60\,e^4}+\frac{x\,\left(3\,c\,d^2+2\,b\,d\,e+3\,a\,e^2\right)}{12\,e^3}+\frac{x^2\,\left(2\,b\,e+3\,c\,d\right)}{6\,e^2}}{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,"-((c*x^3)/(2*e) + (d*(3*a*e^2 + 3*c*d^2 + 2*b*d*e))/(60*e^4) + (x*(3*a*e^2 + 3*c*d^2 + 2*b*d*e))/(12*e^3) + (x^2*(2*b*e + 3*c*d))/(6*e^2))/(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"
2363,1,133,103,2.345049,"\text{Not used}","int((x*(a + b*x + c*x^2))/(d + e*x)^7,x)","-\frac{\frac{c\,x^3}{3\,e}+\frac{d\,\left(c\,d^2+b\,d\,e+2\,a\,e^2\right)}{60\,e^4}+\frac{x\,\left(c\,d^2+b\,d\,e+2\,a\,e^2\right)}{10\,e^3}+\frac{x^2\,\left(b\,e+c\,d\right)}{4\,e^2}}{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,"-((c*x^3)/(3*e) + (d*(2*a*e^2 + c*d^2 + b*d*e))/(60*e^4) + (x*(2*a*e^2 + c*d^2 + b*d*e))/(10*e^3) + (x^2*(b*e + c*d))/(4*e^2))/(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"
2364,1,539,357,3.105946,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2),x)","x^2\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{2\,c}-\frac{B\,b\,e^3}{2\,c^2}\right)-x\,\left(\frac{b\,\left(\frac{A\,e^3+3\,B\,d\,e^2}{c}-\frac{B\,b\,e^3}{c^2}\right)}{c}-\frac{3\,d\,e\,\left(A\,e+B\,d\right)}{c}+\frac{B\,a\,e^3}{c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-8\,B\,a^2\,b\,c^2\,e^3+12\,B\,a^2\,c^3\,d\,e^2+4\,A\,a^2\,c^3\,e^3+6\,B\,a\,b^3\,c\,e^3-15\,B\,a\,b^2\,c^2\,d\,e^2-5\,A\,a\,b^2\,c^2\,e^3+12\,B\,a\,b\,c^3\,d^2\,e+12\,A\,a\,b\,c^3\,d\,e^2-4\,B\,a\,c^4\,d^3-12\,A\,a\,c^4\,d^2\,e-B\,b^5\,e^3+3\,B\,b^4\,c\,d\,e^2+A\,b^4\,c\,e^3-3\,B\,b^3\,c^2\,d^2\,e-3\,A\,b^3\,c^2\,d\,e^2+B\,b^2\,c^3\,d^3+3\,A\,b^2\,c^3\,d^2\,e\right)}{2\,\left(4\,a\,c^5-b^2\,c^4\right)}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,B\,a^2\,c^2\,e^3-4\,B\,a\,b^2\,c\,e^3+9\,B\,a\,b\,c^2\,d\,e^2+3\,A\,a\,b\,c^2\,e^3-6\,B\,a\,c^3\,d^2\,e-6\,A\,a\,c^3\,d\,e^2+B\,b^4\,e^3-3\,B\,b^3\,c\,d\,e^2-A\,b^3\,c\,e^3+3\,B\,b^2\,c^2\,d^2\,e+3\,A\,b^2\,c^2\,d\,e^2-B\,b\,c^3\,d^3-3\,A\,b\,c^3\,d^2\,e+2\,A\,c^4\,d^3\right)}{c^4\,\sqrt{4\,a\,c-b^2}}+\frac{B\,e^3\,x^3}{3\,c}","Not used",1,"x^2*((A*e^3 + 3*B*d*e^2)/(2*c) - (B*b*e^3)/(2*c^2)) - x*((b*((A*e^3 + 3*B*d*e^2)/c - (B*b*e^3)/c^2))/c - (3*d*e*(A*e + B*d))/c + (B*a*e^3)/c^2) - (log(a + b*x + c*x^2)*(A*b^4*c*e^3 - 4*B*a*c^4*d^3 - B*b^5*e^3 + 4*A*a^2*c^3*e^3 + B*b^2*c^3*d^3 - 5*A*a*b^2*c^2*e^3 - 8*B*a^2*b*c^2*e^3 + 3*A*b^2*c^3*d^2*e - 3*A*b^3*c^2*d*e^2 + 12*B*a^2*c^3*d*e^2 - 3*B*b^3*c^2*d^2*e + 6*B*a*b^3*c*e^3 - 12*A*a*c^4*d^2*e + 3*B*b^4*c*d*e^2 + 12*A*a*b*c^3*d*e^2 + 12*B*a*b*c^3*d^2*e - 15*B*a*b^2*c^2*d*e^2))/(2*(4*a*c^5 - b^2*c^4)) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*A*c^4*d^3 + B*b^4*e^3 - A*b^3*c*e^3 - B*b*c^3*d^3 + 2*B*a^2*c^2*e^3 + 3*A*b^2*c^2*d*e^2 + 3*B*b^2*c^2*d^2*e + 3*A*a*b*c^2*e^3 - 4*B*a*b^2*c*e^3 - 6*A*a*c^3*d*e^2 - 3*A*b*c^3*d^2*e - 6*B*a*c^3*d^2*e - 3*B*b^3*c*d*e^2 + 9*B*a*b*c^2*d*e^2))/(c^4*(4*a*c - b^2)^(1/2)) + (B*e^3*x^3)/(3*c)","B"
2365,1,316,205,2.782630,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2),x)","x\,\left(\frac{A\,e^2+2\,B\,d\,e}{c}-\frac{B\,b\,e^2}{c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(4\,B\,a^2\,c^2\,e^2-5\,B\,a\,b^2\,c\,e^2+8\,B\,a\,b\,c^2\,d\,e+4\,A\,a\,b\,c^2\,e^2-4\,B\,a\,c^3\,d^2-8\,A\,a\,c^3\,d\,e+B\,b^4\,e^2-2\,B\,b^3\,c\,d\,e-A\,b^3\,c\,e^2+B\,b^2\,c^2\,d^2+2\,A\,b^2\,c^2\,d\,e\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(B\,b^3\,e^2-2\,B\,b^2\,c\,d\,e-A\,b^2\,c\,e^2+B\,b\,c^2\,d^2+2\,A\,b\,c^2\,d\,e-3\,B\,a\,b\,c\,e^2-2\,A\,c^3\,d^2+4\,B\,a\,c^2\,d\,e+2\,A\,a\,c^2\,e^2\right)}{c^3\,\sqrt{4\,a\,c-b^2}}+\frac{B\,e^2\,x^2}{2\,c}","Not used",1,"x*((A*e^2 + 2*B*d*e)/c - (B*b*e^2)/c^2) - (log(a + b*x + c*x^2)*(B*b^4*e^2 - 4*B*a*c^3*d^2 - A*b^3*c*e^2 + 4*B*a^2*c^2*e^2 + B*b^2*c^2*d^2 - 8*A*a*c^3*d*e - 2*B*b^3*c*d*e + 4*A*a*b*c^2*e^2 - 5*B*a*b^2*c*e^2 + 2*A*b^2*c^2*d*e + 8*B*a*b*c^2*d*e))/(2*(4*a*c^4 - b^2*c^3)) - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(B*b^3*e^2 - 2*A*c^3*d^2 + 2*A*a*c^2*e^2 - A*b^2*c*e^2 + B*b*c^2*d^2 - 3*B*a*b*c*e^2 + 2*A*b*c^2*d*e + 4*B*a*c^2*d*e - 2*B*b^2*c*d*e))/(c^3*(4*a*c - b^2)^(1/2)) + (B*e^2*x^2)/(2*c)","B"
2366,1,163,108,2.703960,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2),x)","\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(B\,b^3\,e+4\,A\,a\,c^2\,e+4\,B\,a\,c^2\,d-A\,b^2\,c\,e-B\,b^2\,c\,d-4\,B\,a\,b\,c\,e\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(A\,b\,c\,e-B\,b^2\,e-2\,A\,c^2\,d+2\,B\,a\,c\,e+B\,b\,c\,d\right)}{c^2\,\sqrt{4\,a\,c-b^2}}+\frac{B\,e\,x}{c}","Not used",1,"(log(a + b*x + c*x^2)*(B*b^3*e + 4*A*a*c^2*e + 4*B*a*c^2*d - A*b^2*c*e - B*b^2*c*d - 4*B*a*b*c*e))/(2*(4*a*c^3 - b^2*c^2)) - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(A*b*c*e - B*b^2*e - 2*A*c^2*d + 2*B*a*c*e + B*b*c*d))/(c^2*(4*a*c - b^2)^(1/2)) + (B*e*x)/c","B"
2367,1,162,64,0.115106,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2),x)","\frac{2\,A\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}-\frac{B\,b^2\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,B\,a\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}-\frac{B\,b\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*A*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2) - (B*b^2*log(a + b*x + c*x^2))/(2*(4*a*c^2 - b^2*c)) + (2*B*a*c*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c) - (B*b*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2))","B"
2368,1,1027,146,8.696322,"\text{Not used}","int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)),x)","\frac{\ln\left(d+e\,x\right)\,\left(A\,e-B\,d\right)}{c\,d^2-b\,d\,e+a\,e^2}-\frac{\ln\left(B^2\,c\,e\,x-\frac{\left(B\,a\,c\,e^2-A\,b\,c\,e^2-A\,c^2\,d\,e+c\,e\,x\,\left(B\,b\,e-3\,A\,c\,e+B\,c\,d\right)+B\,b\,c\,d\,e+\frac{c\,e\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)\,\left(\frac{A\,b^2\,e}{2}-\frac{B\,b^2\,d}{2}+\frac{A\,b\,e\,\sqrt{b^2-4\,a\,c}}{2}-A\,c\,d\,\sqrt{b^2-4\,a\,c}-B\,a\,e\,\sqrt{b^2-4\,a\,c}+\frac{B\,b\,d\,\sqrt{b^2-4\,a\,c}}{2}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}\right)\,\left(\frac{A\,b^2\,e}{2}-\frac{B\,b^2\,d}{2}+\frac{A\,b\,e\,\sqrt{b^2-4\,a\,c}}{2}-A\,c\,d\,\sqrt{b^2-4\,a\,c}-B\,a\,e\,\sqrt{b^2-4\,a\,c}+\frac{B\,b\,d\,\sqrt{b^2-4\,a\,c}}{2}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}+A\,B\,c\,e\right)\,\left(b\,\left(\frac{A\,e\,\sqrt{b^2-4\,a\,c}}{2}+\frac{B\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)+b^2\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)-A\,c\,d\,\sqrt{b^2-4\,a\,c}-B\,a\,e\,\sqrt{b^2-4\,a\,c}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{-4\,a^2\,c\,e^2+a\,b^2\,e^2+4\,a\,b\,c\,d\,e-4\,a\,c^2\,d^2-b^3\,d\,e+b^2\,c\,d^2}-\frac{\ln\left(B^2\,c\,e\,x-\frac{\left(B\,a\,c\,e^2-A\,b\,c\,e^2-A\,c^2\,d\,e+c\,e\,x\,\left(B\,b\,e-3\,A\,c\,e+B\,c\,d\right)+B\,b\,c\,d\,e+\frac{c\,e\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)\,\left(\frac{A\,b^2\,e}{2}-\frac{B\,b^2\,d}{2}-\frac{A\,b\,e\,\sqrt{b^2-4\,a\,c}}{2}+A\,c\,d\,\sqrt{b^2-4\,a\,c}+B\,a\,e\,\sqrt{b^2-4\,a\,c}-\frac{B\,b\,d\,\sqrt{b^2-4\,a\,c}}{2}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}\right)\,\left(\frac{A\,b^2\,e}{2}-\frac{B\,b^2\,d}{2}-\frac{A\,b\,e\,\sqrt{b^2-4\,a\,c}}{2}+A\,c\,d\,\sqrt{b^2-4\,a\,c}+B\,a\,e\,\sqrt{b^2-4\,a\,c}-\frac{B\,b\,d\,\sqrt{b^2-4\,a\,c}}{2}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{\left(4\,a\,c-b^2\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}+A\,B\,c\,e\right)\,\left(b^2\,\left(\frac{A\,e}{2}-\frac{B\,d}{2}\right)-b\,\left(\frac{A\,e\,\sqrt{b^2-4\,a\,c}}{2}+\frac{B\,d\,\sqrt{b^2-4\,a\,c}}{2}\right)+A\,c\,d\,\sqrt{b^2-4\,a\,c}+B\,a\,e\,\sqrt{b^2-4\,a\,c}-2\,A\,a\,c\,e+2\,B\,a\,c\,d\right)}{-4\,a^2\,c\,e^2+a\,b^2\,e^2+4\,a\,b\,c\,d\,e-4\,a\,c^2\,d^2-b^3\,d\,e+b^2\,c\,d^2}","Not used",1,"(log(d + e*x)*(A*e - B*d))/(a*e^2 + c*d^2 - b*d*e) - (log(B^2*c*e*x - ((B*a*c*e^2 - A*b*c*e^2 - A*c^2*d*e + c*e*x*(B*b*e - 3*A*c*e + B*c*d) + B*b*c*d*e + (c*e*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x)*((A*b^2*e)/2 - (B*b^2*d)/2 + (A*b*e*(b^2 - 4*a*c)^(1/2))/2 - A*c*d*(b^2 - 4*a*c)^(1/2) - B*a*e*(b^2 - 4*a*c)^(1/2) + (B*b*d*(b^2 - 4*a*c)^(1/2))/2 - 2*A*a*c*e + 2*B*a*c*d))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)))*((A*b^2*e)/2 - (B*b^2*d)/2 + (A*b*e*(b^2 - 4*a*c)^(1/2))/2 - A*c*d*(b^2 - 4*a*c)^(1/2) - B*a*e*(b^2 - 4*a*c)^(1/2) + (B*b*d*(b^2 - 4*a*c)^(1/2))/2 - 2*A*a*c*e + 2*B*a*c*d))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)) + A*B*c*e)*(b*((A*e*(b^2 - 4*a*c)^(1/2))/2 + (B*d*(b^2 - 4*a*c)^(1/2))/2) + b^2*((A*e)/2 - (B*d)/2) - A*c*d*(b^2 - 4*a*c)^(1/2) - B*a*e*(b^2 - 4*a*c)^(1/2) - 2*A*a*c*e + 2*B*a*c*d))/(a*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e) - (log(B^2*c*e*x - ((B*a*c*e^2 - A*b*c*e^2 - A*c^2*d*e + c*e*x*(B*b*e - 3*A*c*e + B*c*d) + B*b*c*d*e + (c*e*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x)*((A*b^2*e)/2 - (B*b^2*d)/2 - (A*b*e*(b^2 - 4*a*c)^(1/2))/2 + A*c*d*(b^2 - 4*a*c)^(1/2) + B*a*e*(b^2 - 4*a*c)^(1/2) - (B*b*d*(b^2 - 4*a*c)^(1/2))/2 - 2*A*a*c*e + 2*B*a*c*d))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)))*((A*b^2*e)/2 - (B*b^2*d)/2 - (A*b*e*(b^2 - 4*a*c)^(1/2))/2 + A*c*d*(b^2 - 4*a*c)^(1/2) + B*a*e*(b^2 - 4*a*c)^(1/2) - (B*b*d*(b^2 - 4*a*c)^(1/2))/2 - 2*A*a*c*e + 2*B*a*c*d))/((4*a*c - b^2)*(a*e^2 + c*d^2 - b*d*e)) + A*B*c*e)*(b^2*((A*e)/2 - (B*d)/2) - b*((A*e*(b^2 - 4*a*c)^(1/2))/2 + (B*d*(b^2 - 4*a*c)^(1/2))/2) + A*c*d*(b^2 - 4*a*c)^(1/2) + B*a*e*(b^2 - 4*a*c)^(1/2) - 2*A*a*c*e + 2*B*a*c*d))/(a*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e)","B"
2369,1,2650,255,7.218320,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)),x)","\frac{\ln\left(2\,A\,a\,b^3\,e^4+A\,b\,c^3\,d^4+6\,B\,a\,c^3\,d^4+6\,B\,a^3\,c\,e^4+2\,A\,b^4\,e^4\,x+2\,A\,c^4\,d^4\,x-A\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}-2\,B\,a^2\,b^2\,e^4-2\,B\,b^2\,c^2\,d^4-2\,B\,a\,b^3\,e^4\,x-B\,b\,c^3\,d^4\,x+2\,A\,a\,b^2\,e^4\,\sqrt{b^2-4\,a\,c}-A\,a^2\,c\,e^4\,\sqrt{b^2-4\,a\,c}-2\,B\,a^2\,b\,e^4\,\sqrt{b^2-4\,a\,c}+2\,B\,b\,c^2\,d^4\,\sqrt{b^2-4\,a\,c}+2\,A\,b^3\,e^4\,x\,\sqrt{b^2-4\,a\,c}+3\,B\,c^3\,d^4\,x\,\sqrt{b^2-4\,a\,c}+16\,A\,a^2\,c^2\,d\,e^3+2\,A\,b^2\,c^2\,d^3\,e-A\,b^3\,c\,d^2\,e^2+2\,A\,a^2\,c^2\,e^4\,x-20\,B\,a^2\,c^2\,d^2\,e^2-7\,A\,a^2\,b\,c\,e^4-16\,A\,a\,c^3\,d^3\,e+10\,A\,b^2\,c^2\,d^2\,e^2\,x-6\,A\,a\,b^2\,c\,d\,e^3+4\,B\,a\,b\,c^2\,d^3\,e+4\,B\,a^2\,b\,c\,d\,e^3-8\,A\,a\,b^2\,c\,e^4\,x+7\,B\,a^2\,b\,c\,e^4\,x-4\,A\,b\,c^3\,d^3\,e\,x-8\,A\,b^3\,c\,d\,e^3\,x+16\,B\,a\,c^3\,d^3\,e\,x-2\,A\,b\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}-8\,B\,a\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+8\,B\,a^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-2\,B\,a\,b^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}+3\,B\,a^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}-8\,A\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}+10\,A\,a\,b\,c^2\,d^2\,e^2+2\,B\,a\,b^2\,c\,d^2\,e^2-28\,A\,a\,c^3\,d^2\,e^2\,x-16\,B\,a^2\,c^2\,d\,e^3\,x-2\,B\,b^2\,c^2\,d^3\,e\,x+B\,b^3\,c\,d^2\,e^2\,x+14\,A\,a\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+A\,b^2\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+8\,A\,a\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}-8\,A\,b^2\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c^2\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-10\,B\,a\,b\,c^2\,d^2\,e^2\,x+12\,A\,b\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,B\,a\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+B\,b^2\,c\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,A\,a\,b\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-4\,A\,a\,b\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}+28\,A\,a\,b\,c^2\,d\,e^3\,x+6\,B\,a\,b^2\,c\,d\,e^3\,x+6\,B\,a\,b\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(B\,a\,b^2\,e^2-A\,b^3\,e^2+4\,B\,a\,c^2\,d^2-4\,B\,a^2\,c\,e^2-B\,b^2\,c\,d^2-A\,b^2\,e^2\,\sqrt{b^2-4\,a\,c}-2\,A\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}+4\,A\,a\,b\,c\,e^2-8\,A\,a\,c^2\,d\,e+2\,A\,b^2\,c\,d\,e+2\,A\,a\,c\,e^2\,\sqrt{b^2-4\,a\,c}+B\,a\,b\,e^2\,\sqrt{b^2-4\,a\,c}+B\,b\,c\,d^2\,\sqrt{b^2-4\,a\,c}+2\,A\,b\,c\,d\,e\,\sqrt{b^2-4\,a\,c}-4\,B\,a\,c\,d\,e\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}-\frac{\ln\left(d+e\,x\right)\,\left(B\,c\,d^2-2\,A\,c\,d\,e+\left(A\,b-B\,a\right)\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}-\frac{\ln\left(2\,A\,a\,b^3\,e^4+A\,b\,c^3\,d^4+6\,B\,a\,c^3\,d^4+6\,B\,a^3\,c\,e^4+2\,A\,b^4\,e^4\,x+2\,A\,c^4\,d^4\,x+A\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}-2\,B\,a^2\,b^2\,e^4-2\,B\,b^2\,c^2\,d^4-2\,B\,a\,b^3\,e^4\,x-B\,b\,c^3\,d^4\,x-2\,A\,a\,b^2\,e^4\,\sqrt{b^2-4\,a\,c}+A\,a^2\,c\,e^4\,\sqrt{b^2-4\,a\,c}+2\,B\,a^2\,b\,e^4\,\sqrt{b^2-4\,a\,c}-2\,B\,b\,c^2\,d^4\,\sqrt{b^2-4\,a\,c}-2\,A\,b^3\,e^4\,x\,\sqrt{b^2-4\,a\,c}-3\,B\,c^3\,d^4\,x\,\sqrt{b^2-4\,a\,c}+16\,A\,a^2\,c^2\,d\,e^3+2\,A\,b^2\,c^2\,d^3\,e-A\,b^3\,c\,d^2\,e^2+2\,A\,a^2\,c^2\,e^4\,x-20\,B\,a^2\,c^2\,d^2\,e^2-7\,A\,a^2\,b\,c\,e^4-16\,A\,a\,c^3\,d^3\,e+10\,A\,b^2\,c^2\,d^2\,e^2\,x-6\,A\,a\,b^2\,c\,d\,e^3+4\,B\,a\,b\,c^2\,d^3\,e+4\,B\,a^2\,b\,c\,d\,e^3-8\,A\,a\,b^2\,c\,e^4\,x+7\,B\,a^2\,b\,c\,e^4\,x-4\,A\,b\,c^3\,d^3\,e\,x-8\,A\,b^3\,c\,d\,e^3\,x+16\,B\,a\,c^3\,d^3\,e\,x+2\,A\,b\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+8\,B\,a\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}-8\,B\,a^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}+2\,B\,a\,b^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}-3\,B\,a^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}+8\,A\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}+10\,A\,a\,b\,c^2\,d^2\,e^2+2\,B\,a\,b^2\,c\,d^2\,e^2-28\,A\,a\,c^3\,d^2\,e^2\,x-16\,B\,a^2\,c^2\,d\,e^3\,x-2\,B\,b^2\,c^2\,d^3\,e\,x+B\,b^3\,c\,d^2\,e^2\,x-14\,A\,a\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-A\,b^2\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-8\,A\,a\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}+8\,A\,b^2\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}+2\,B\,b\,c^2\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-10\,B\,a\,b\,c^2\,d^2\,e^2\,x-12\,A\,b\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+10\,B\,a\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-B\,b^2\,c\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+10\,A\,a\,b\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}+4\,A\,a\,b\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}+28\,A\,a\,b\,c^2\,d\,e^3\,x+6\,B\,a\,b^2\,c\,d\,e^3\,x-6\,B\,a\,b\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(A\,b^3\,e^2-B\,a\,b^2\,e^2-4\,B\,a\,c^2\,d^2+4\,B\,a^2\,c\,e^2+B\,b^2\,c\,d^2-A\,b^2\,e^2\,\sqrt{b^2-4\,a\,c}-2\,A\,c^2\,d^2\,\sqrt{b^2-4\,a\,c}-4\,A\,a\,b\,c\,e^2+8\,A\,a\,c^2\,d\,e-2\,A\,b^2\,c\,d\,e+2\,A\,a\,c\,e^2\,\sqrt{b^2-4\,a\,c}+B\,a\,b\,e^2\,\sqrt{b^2-4\,a\,c}+B\,b\,c\,d^2\,\sqrt{b^2-4\,a\,c}+2\,A\,b\,c\,d\,e\,\sqrt{b^2-4\,a\,c}-4\,B\,a\,c\,d\,e\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}-\frac{A\,e-B\,d}{\left(d+e\,x\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"(log(2*A*a*b^3*e^4 + A*b*c^3*d^4 + 6*B*a*c^3*d^4 + 6*B*a^3*c*e^4 + 2*A*b^4*e^4*x + 2*A*c^4*d^4*x - A*c^3*d^4*(b^2 - 4*a*c)^(1/2) - 2*B*a^2*b^2*e^4 - 2*B*b^2*c^2*d^4 - 2*B*a*b^3*e^4*x - B*b*c^3*d^4*x + 2*A*a*b^2*e^4*(b^2 - 4*a*c)^(1/2) - A*a^2*c*e^4*(b^2 - 4*a*c)^(1/2) - 2*B*a^2*b*e^4*(b^2 - 4*a*c)^(1/2) + 2*B*b*c^2*d^4*(b^2 - 4*a*c)^(1/2) + 2*A*b^3*e^4*x*(b^2 - 4*a*c)^(1/2) + 3*B*c^3*d^4*x*(b^2 - 4*a*c)^(1/2) + 16*A*a^2*c^2*d*e^3 + 2*A*b^2*c^2*d^3*e - A*b^3*c*d^2*e^2 + 2*A*a^2*c^2*e^4*x - 20*B*a^2*c^2*d^2*e^2 - 7*A*a^2*b*c*e^4 - 16*A*a*c^3*d^3*e + 10*A*b^2*c^2*d^2*e^2*x - 6*A*a*b^2*c*d*e^3 + 4*B*a*b*c^2*d^3*e + 4*B*a^2*b*c*d*e^3 - 8*A*a*b^2*c*e^4*x + 7*B*a^2*b*c*e^4*x - 4*A*b*c^3*d^3*e*x - 8*A*b^3*c*d*e^3*x + 16*B*a*c^3*d^3*e*x - 2*A*b*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) - 8*B*a*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + 8*B*a^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 2*B*a*b^2*e^4*x*(b^2 - 4*a*c)^(1/2) + 3*B*a^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) - 8*A*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) + 10*A*a*b*c^2*d^2*e^2 + 2*B*a*b^2*c*d^2*e^2 - 28*A*a*c^3*d^2*e^2*x - 16*B*a^2*c^2*d*e^3*x - 2*B*b^2*c^2*d^3*e*x + B*b^3*c*d^2*e^2*x + 14*A*a*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) + A*b^2*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 8*A*a*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2) - 8*A*b^2*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) - 2*B*b*c^2*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 10*B*a*b*c^2*d^2*e^2*x + 12*A*b*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*B*a*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + B*b^2*c*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*A*a*b*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 4*A*a*b*c*e^4*x*(b^2 - 4*a*c)^(1/2) + 28*A*a*b*c^2*d*e^3*x + 6*B*a*b^2*c*d*e^3*x + 6*B*a*b*c*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(B*a*b^2*e^2 - A*b^3*e^2 + 4*B*a*c^2*d^2 - 4*B*a^2*c*e^2 - B*b^2*c*d^2 - A*b^2*e^2*(b^2 - 4*a*c)^(1/2) - 2*A*c^2*d^2*(b^2 - 4*a*c)^(1/2) + 4*A*a*b*c*e^2 - 8*A*a*c^2*d*e + 2*A*b^2*c*d*e + 2*A*a*c*e^2*(b^2 - 4*a*c)^(1/2) + B*a*b*e^2*(b^2 - 4*a*c)^(1/2) + B*b*c*d^2*(b^2 - 4*a*c)^(1/2) + 2*A*b*c*d*e*(b^2 - 4*a*c)^(1/2) - 4*B*a*c*d*e*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) - (log(d + e*x)*(e^2*(A*b - B*a) + B*c*d^2 - 2*A*c*d*e))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) - (log(2*A*a*b^3*e^4 + A*b*c^3*d^4 + 6*B*a*c^3*d^4 + 6*B*a^3*c*e^4 + 2*A*b^4*e^4*x + 2*A*c^4*d^4*x + A*c^3*d^4*(b^2 - 4*a*c)^(1/2) - 2*B*a^2*b^2*e^4 - 2*B*b^2*c^2*d^4 - 2*B*a*b^3*e^4*x - B*b*c^3*d^4*x - 2*A*a*b^2*e^4*(b^2 - 4*a*c)^(1/2) + A*a^2*c*e^4*(b^2 - 4*a*c)^(1/2) + 2*B*a^2*b*e^4*(b^2 - 4*a*c)^(1/2) - 2*B*b*c^2*d^4*(b^2 - 4*a*c)^(1/2) - 2*A*b^3*e^4*x*(b^2 - 4*a*c)^(1/2) - 3*B*c^3*d^4*x*(b^2 - 4*a*c)^(1/2) + 16*A*a^2*c^2*d*e^3 + 2*A*b^2*c^2*d^3*e - A*b^3*c*d^2*e^2 + 2*A*a^2*c^2*e^4*x - 20*B*a^2*c^2*d^2*e^2 - 7*A*a^2*b*c*e^4 - 16*A*a*c^3*d^3*e + 10*A*b^2*c^2*d^2*e^2*x - 6*A*a*b^2*c*d*e^3 + 4*B*a*b*c^2*d^3*e + 4*B*a^2*b*c*d*e^3 - 8*A*a*b^2*c*e^4*x + 7*B*a^2*b*c*e^4*x - 4*A*b*c^3*d^3*e*x - 8*A*b^3*c*d*e^3*x + 16*B*a*c^3*d^3*e*x + 2*A*b*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + 8*B*a*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) - 8*B*a^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) + 2*B*a*b^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 3*B*a^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) + 8*A*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) + 10*A*a*b*c^2*d^2*e^2 + 2*B*a*b^2*c*d^2*e^2 - 28*A*a*c^3*d^2*e^2*x - 16*B*a^2*c^2*d*e^3*x - 2*B*b^2*c^2*d^3*e*x + B*b^3*c*d^2*e^2*x - 14*A*a*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - A*b^2*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 8*A*a*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2) + 8*A*b^2*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) + 2*B*b*c^2*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 10*B*a*b*c^2*d^2*e^2*x - 12*A*b*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 10*B*a*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - B*b^2*c*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 10*A*a*b*c*d*e^3*(b^2 - 4*a*c)^(1/2) + 4*A*a*b*c*e^4*x*(b^2 - 4*a*c)^(1/2) + 28*A*a*b*c^2*d*e^3*x + 6*B*a*b^2*c*d*e^3*x - 6*B*a*b*c*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(A*b^3*e^2 - B*a*b^2*e^2 - 4*B*a*c^2*d^2 + 4*B*a^2*c*e^2 + B*b^2*c*d^2 - A*b^2*e^2*(b^2 - 4*a*c)^(1/2) - 2*A*c^2*d^2*(b^2 - 4*a*c)^(1/2) - 4*A*a*b*c*e^2 + 8*A*a*c^2*d*e - 2*A*b^2*c*d*e + 2*A*a*c*e^2*(b^2 - 4*a*c)^(1/2) + B*a*b*e^2*(b^2 - 4*a*c)^(1/2) + B*b*c*d^2*(b^2 - 4*a*c)^(1/2) + 2*A*b*c*d*e*(b^2 - 4*a*c)^(1/2) - 4*B*a*c*d*e*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) - (A*e - B*d)/((d + e*x)*(a*e^2 + c*d^2 - b*d*e))","B"
2370,1,7042,414,26.751432,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a + b*x + c*x^2)),x)","\frac{\ln\left(\frac{\left(A\,b^4\,e^3-\frac{3\,A\,b\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}+\frac{B\,a\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-B\,a\,b^3\,e^3+4\,B\,a\,c^3\,d^3-\frac{A\,b^3\,e^3\,\sqrt{b^2-4\,a\,c}}{4}+2\,A\,c^3\,d^3\,\sqrt{b^2-4\,a\,c}+4\,A\,a^2\,c^2\,e^3-B\,b^2\,c^2\,d^3+\frac{B\,a\,b^2\,e^3\,\sqrt{b^2-4\,a\,c}}{2}-B\,b\,c^2\,d^3\,\sqrt{b^2-4\,a\,c}-\frac{3\,B\,b^3\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{4}+3\,A\,b^2\,c^2\,d^2\,e-12\,B\,a^2\,c^2\,d\,e^2+\frac{3\,A\,c\,d\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+\frac{3\,B\,b\,d\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}-\frac{3\,B\,c\,d^2\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-5\,A\,a\,b^2\,c\,e^3+4\,B\,a^2\,b\,c\,e^3-12\,A\,a\,c^3\,d^2\,e-3\,A\,b^3\,c\,d\,e^2+12\,A\,a\,b\,c^2\,d\,e^2+3\,B\,a\,b^2\,c\,d\,e^2-3\,A\,b\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+\frac{3\,A\,b^2\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2}+\frac{3\,B\,b^2\,c\,d^2\,e\,\sqrt{b^2-4\,a\,c}}{2}\right)\,\left(4\,B\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{7/2}+3\,B\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{7/2}-3\,A\,b^2\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}+2\,A\,b^4\,e^6\,{\left(b^2-4\,a\,c\right)}^{3/2}+A\,b^6\,e^6\,\sqrt{b^2-4\,a\,c}+128\,B\,a^4\,c^3\,e^6-32\,A\,b^6\,c\,e^6\,x-2\,B\,a\,b^5\,e^6\,\sqrt{b^2-4\,a\,c}+B\,b^2\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}-10\,B\,b^4\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}+5\,B\,b^6\,d\,e^5\,\sqrt{b^2-4\,a\,c}+B\,b^2\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-3\,B\,b^4\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-B\,b^6\,e^6\,x\,\sqrt{b^2-4\,a\,c}-320\,A\,a^3\,b\,c^3\,e^6+48\,B\,a^2\,b^4\,c\,e^6+640\,A\,a^3\,c^4\,d\,e^5-32\,A\,b^2\,c^5\,d^5\,e+48\,B\,b^3\,c^4\,d^5\,e-48\,A\,c^2\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-64\,A\,c^4\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+48\,B\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+272\,A\,a^2\,b^3\,c^2\,e^6-224\,B\,a^3\,b^2\,c^2\,e^6-1280\,A\,a^2\,c^5\,d^3\,e^3-48\,A\,b^3\,c^4\,d^4\,e^2+96\,A\,b^4\,c^3\,d^3\,e^3-64\,A\,b^5\,c^2\,d^2\,e^4+640\,B\,a^2\,c^5\,d^4\,e^2-1280\,B\,a^3\,c^4\,d^2\,e^4-16\,B\,b^4\,c^3\,d^4\,e^2+2\,B\,a\,b\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}-48\,A\,a\,b^5\,c\,e^6+128\,A\,a\,c^6\,d^5\,e+16\,A\,b^6\,c\,d\,e^5-96\,A\,c^4\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+40\,B\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+48\,B\,c^4\,d^4\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-64\,A\,a\,b^2\,c^4\,d^3\,e^3-96\,A\,a\,b^3\,c^3\,d^2\,e^4+1408\,A\,a^2\,b\,c^4\,d^2\,e^4-928\,A\,a^2\,b^2\,c^3\,d\,e^5-96\,B\,a\,b^2\,c^4\,d^4\,e^2-32\,B\,a\,b^3\,c^3\,d^3\,e^3+64\,B\,a\,b^4\,c^2\,d^2\,e^4+128\,B\,a^2\,b\,c^4\,d^3\,e^3-144\,B\,a^2\,b^3\,c^2\,d\,e^5-256\,A\,a^2\,b^2\,c^3\,e^6\,x-160\,B\,a^2\,b^3\,c^2\,e^6\,x-1024\,A\,a^2\,c^5\,d^2\,e^4\,x-256\,A\,b^2\,c^5\,d^4\,e^2\,x+512\,A\,b^3\,c^4\,d^3\,e^3\,x-448\,A\,b^4\,c^3\,d^2\,e^4\,x+1536\,B\,a^2\,c^5\,d^3\,e^3\,x-32\,B\,b^3\,c^4\,d^4\,e^2\,x+30\,A\,b\,c\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+18\,A\,b\,c\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-192\,B\,a\,b\,c^5\,d^5\,e-16\,B\,a\,b^5\,c\,d\,e^5-24\,A\,b^2\,c^2\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+80\,A\,b^2\,c^4\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}-80\,A\,b^3\,c^3\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}+40\,A\,b^4\,c^2\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}-88\,B\,b^2\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}-40\,B\,b^3\,c^3\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}+40\,B\,b^4\,c^2\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}+32\,B\,a\,b^5\,c\,e^6\,x-256\,B\,a\,c^6\,d^5\,e\,x+64\,B\,a^2\,b^2\,c^3\,d^2\,e^4-32\,A\,b\,c^5\,d^5\,e\,\sqrt{b^2-4\,a\,c}-4\,A\,b^3\,c\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-10\,A\,b^5\,c\,d\,e^5\,\sqrt{b^2-4\,a\,c}-28\,B\,b\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+12\,A\,b^3\,c\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b^5\,c\,e^6\,x\,\sqrt{b^2-4\,a\,c}-36\,A\,c^2\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-64\,A\,c^6\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}+192\,A\,a\,b\,c^5\,d^4\,e^2+128\,A\,a\,b^4\,c^2\,d\,e^5+832\,B\,a^3\,b\,c^3\,d\,e^5+192\,A\,a\,b^4\,c^2\,e^6\,x+128\,B\,a^3\,b\,c^3\,e^6\,x+1024\,A\,a\,c^6\,d^4\,e^2\,x+192\,A\,b^5\,c^2\,d\,e^5\,x-256\,B\,a^3\,c^4\,d\,e^5\,x+64\,B\,b^2\,c^5\,d^5\,e\,x+80\,A\,b\,c^3\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+56\,B\,b\,c^3\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+16\,B\,b^2\,c^4\,d^5\,e\,\sqrt{b^2-4\,a\,c}+48\,B\,b^3\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-20\,B\,b^5\,c\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}+32\,B\,b\,c^5\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}+12\,B\,b^3\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+10\,B\,b^5\,c\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}-2048\,A\,a\,b\,c^5\,d^3\,e^3\,x-1024\,A\,a\,b^3\,c^3\,d\,e^5\,x+1024\,A\,a^2\,b\,c^4\,d\,e^5\,x+128\,B\,a\,b\,c^5\,d^4\,e^2\,x-192\,B\,a\,b^4\,c^2\,d\,e^5\,x+144\,A\,b\,c^3\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+160\,A\,b\,c^5\,d^4\,e^2\,x\,\sqrt{b^2-4\,a\,c}-72\,A\,b^2\,c^2\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-20\,A\,b^4\,c^2\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}-48\,B\,b\,c^3\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+2048\,A\,a\,b^2\,c^4\,d^2\,e^4\,x-384\,B\,a\,b^2\,c^4\,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x\,\sqrt{b^2-4\,a\,c}+320\,A\,a^3\,b\,c^3\,e^6-48\,B\,a^2\,b^4\,c\,e^6-640\,A\,a^3\,c^4\,d\,e^5+32\,A\,b^2\,c^5\,d^5\,e-48\,B\,b^3\,c^4\,d^5\,e-48\,A\,c^2\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-64\,A\,c^4\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+48\,B\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}-272\,A\,a^2\,b^3\,c^2\,e^6+224\,B\,a^3\,b^2\,c^2\,e^6+1280\,A\,a^2\,c^5\,d^3\,e^3+48\,A\,b^3\,c^4\,d^4\,e^2-96\,A\,b^4\,c^3\,d^3\,e^3+64\,A\,b^5\,c^2\,d^2\,e^4-640\,B\,a^2\,c^5\,d^4\,e^2+1280\,B\,a^3\,c^4\,d^2\,e^4+16\,B\,b^4\,c^3\,d^4\,e^2+2\,B\,a\,b\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}+48\,A\,a\,b^5\,c\,e^6-128\,A\,a\,c^6\,d^5\,e-16\,A\,b^6\,c\,d\,e^5-96\,A\,c^4\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+40\,B\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+48\,B\,c^4\,d^4\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+64\,A\,a\,b^2\,c^4\,d^3\,e^3+96\,A\,a\,b^3\,c^3\,d^2\,e^4-1408\,A\,a^2\,b\,c^4\,d^2\,e^4+928\,A\,a^2\,b^2\,c^3\,d\,e^5+96\,B\,a\,b^2\,c^4\,d^4\,e^2+32\,B\,a\,b^3\,c^3\,d^3\,e^3-64\,B\,a\,b^4\,c^2\,d^2\,e^4-128\,B\,a^2\,b\,c^4\,d^3\,e^3+144\,B\,a^2\,b^3\,c^2\,d\,e^5+256\,A\,a^2\,b^2\,c^3\,e^6\,x+160\,B\,a^2\,b^3\,c^2\,e^6\,x+1024\,A\,a^2\,c^5\,d^2\,e^4\,x+256\,A\,b^2\,c^5\,d^4\,e^2\,x-512\,A\,b^3\,c^4\,d^3\,e^3\,x+448\,A\,b^4\,c^3\,d^2\,e^4\,x-1536\,B\,a^2\,c^5\,d^3\,e^3\,x+32\,B\,b^3\,c^4\,d^4\,e^2\,x+30\,A\,b\,c\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+18\,A\,b\,c\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+192\,B\,a\,b\,c^5\,d^5\,e+16\,B\,a\,b^5\,c\,d\,e^5-24\,A\,b^2\,c^2\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+80\,A\,b^2\,c^4\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}-80\,A\,b^3\,c^3\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}+40\,A\,b^4\,c^2\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}-88\,B\,b^2\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}-40\,B\,b^3\,c^3\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}+40\,B\,b^4\,c^2\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}-32\,B\,a\,b^5\,c\,e^6\,x+256\,B\,a\,c^6\,d^5\,e\,x-64\,B\,a^2\,b^2\,c^3\,d^2\,e^4-32\,A\,b\,c^5\,d^5\,e\,\sqrt{b^2-4\,a\,c}-4\,A\,b^3\,c\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-10\,A\,b^5\,c\,d\,e^5\,\sqrt{b^2-4\,a\,c}-28\,B\,b\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+12\,A\,b^3\,c\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+2\,A\,b^5\,c\,e^6\,x\,\sqrt{b^2-4\,a\,c}-36\,A\,c^2\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-64\,A\,c^6\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}-192\,A\,a\,b\,c^5\,d^4\,e^2-128\,A\,a\,b^4\,c^2\,d\,e^5-832\,B\,a^3\,b\,c^3\,d\,e^5-192\,A\,a\,b^4\,c^2\,e^6\,x-128\,B\,a^3\,b\,c^3\,e^6\,x-1024\,A\,a\,c^6\,d^4\,e^2\,x-192\,A\,b^5\,c^2\,d\,e^5\,x+256\,B\,a^3\,c^4\,d\,e^5\,x-64\,B\,b^2\,c^5\,d^5\,e\,x+80\,A\,b\,c^3\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+56\,B\,b\,c^3\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+16\,B\,b^2\,c^4\,d^5\,e\,\sqrt{b^2-4\,a\,c}+48\,B\,b^3\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-20\,B\,b^5\,c\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}+32\,B\,b\,c^5\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}+12\,B\,b^3\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+10\,B\,b^5\,c\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}+2048\,A\,a\,b\,c^5\,d^3\,e^3\,x+1024\,A\,a\,b^3\,c^3\,d\,e^5\,x-1024\,A\,a^2\,b\,c^4\,d\,e^5\,x-128\,B\,a\,b\,c^5\,d^4\,e^2\,x+192\,B\,a\,b^4\,c^2\,d\,e^5\,x+144\,A\,b\,c^3\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+160\,A\,b\,c^5\,d^4\,e^2\,x\,\sqrt{b^2-4\,a\,c}-72\,A\,b^2\,c^2\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-20\,A\,b^4\,c^2\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}-48\,B\,b\,c^3\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-2048\,A\,a\,b^2\,c^4\,d^2\,e^4\,x+384\,B\,a\,b^2\,c^4\,d^3\,e^3\,x-448\,B\,a\,b^3\,c^3\,d^2\,e^4\,x+1792\,B\,a^2\,b\,c^4\,d^2\,e^4\,x-832\,B\,a^2\,b^2\,c^3\,d\,e^5\,x-22\,B\,b\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-160\,A\,b^2\,c^4\,d^3\,e^3\,x\,\sqrt{b^2-4\,a\,c}+80\,A\,b^3\,c^3\,d^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}-80\,B\,b^2\,c^4\,d^4\,e^2\,x\,\sqrt{b^2-4\,a\,c}+80\,B\,b^3\,c^3\,d^3\,e^3\,x\,\sqrt{b^2-4\,a\,c}-40\,B\,b^4\,c^2\,d^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}\right)}{64\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^6}+\frac{c^3\,e\,x\,{\left(A\,b\,e^2-B\,a\,e^2+B\,c\,d^2-2\,A\,c\,d\,e\right)}^2}{{\left(c\,d^2-b\,d\,e+a\,e^2\right)}^4}\right)\,\left(\frac{B\,a\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-\frac{3\,A\,b\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}-\frac{A\,e^3\,{\left(4\,a\,c-b^2\right)}^2}{4}+\frac{3\,A\,b^2\,e^3\,\left(4\,a\,c-b^2\right)}{4}-\frac{A\,b^3\,e^3\,\sqrt{b^2-4\,a\,c}}{4}+2\,A\,c^3\,d^3\,\sqrt{b^2-4\,a\,c}-B\,c^2\,d^3\,\left(4\,a\,c-b^2\right)+\frac{3\,B\,d\,e^2\,{\left(4\,a\,c-b^2\right)}^2}{4}+\frac{B\,a\,b^2\,e^3\,\sqrt{b^2-4\,a\,c}}{2}-B\,b\,c^2\,d^3\,\sqrt{b^2-4\,a\,c}+3\,A\,c^2\,d^2\,e\,\left(4\,a\,c-b^2\right)+\frac{3\,B\,b^2\,d\,e^2\,\left(4\,a\,c-b^2\right)}{4}-\frac{3\,B\,b^3\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{4}-B\,a\,b\,e^3\,\left(4\,a\,c-b^2\right)+\frac{3\,A\,c\,d\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}+\frac{3\,B\,b\,d\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}}{4}-\frac{3\,B\,c\,d^2\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}}{2}-3\,A\,b\,c\,d\,e^2\,\left(4\,a\,c-b^2\right)-3\,A\,b\,c^2\,d^2\,e\,\sqrt{b^2-4\,a\,c}+\frac{3\,A\,b^2\,c\,d\,e^2\,\sqrt{b^2-4\,a\,c}}{2}+\frac{3\,B\,b^2\,c\,d^2\,e\,\sqrt{b^2-4\,a\,c}}{2}\right)}{\left(4\,a\,c-b^2\right)\,\left(\left(4\,a\,c-b^2\right)\,\left(\frac{3\,c\,d^4\,e^2}{2}-3\,b\,d^3\,e^3+\frac{3\,a\,d^2\,e^4}{2}\right)+2\,a^3\,e^6+2\,c^3\,d^6-5\,b^3\,d^3\,e^3+\frac{15\,a\,b^2\,d^2\,e^4}{2}+\frac{15\,b^2\,c\,d^4\,e^2}{2}-6\,a^2\,b\,d\,e^5-6\,b\,c^2\,d^5\,e\right)}","Not used",1,"(log(((A*b^4*e^3 - (3*A*b*e^3*(b^2 - 4*a*c)^(3/2))/4 + (B*a*e^3*(b^2 - 4*a*c)^(3/2))/2 - B*a*b^3*e^3 + 4*B*a*c^3*d^3 - (A*b^3*e^3*(b^2 - 4*a*c)^(1/2))/4 + 2*A*c^3*d^3*(b^2 - 4*a*c)^(1/2) + 4*A*a^2*c^2*e^3 - B*b^2*c^2*d^3 + (B*a*b^2*e^3*(b^2 - 4*a*c)^(1/2))/2 - B*b*c^2*d^3*(b^2 - 4*a*c)^(1/2) - (3*B*b^3*d*e^2*(b^2 - 4*a*c)^(1/2))/4 + 3*A*b^2*c^2*d^2*e - 12*B*a^2*c^2*d*e^2 + (3*A*c*d*e^2*(b^2 - 4*a*c)^(3/2))/2 + (3*B*b*d*e^2*(b^2 - 4*a*c)^(3/2))/4 - (3*B*c*d^2*e*(b^2 - 4*a*c)^(3/2))/2 - 5*A*a*b^2*c*e^3 + 4*B*a^2*b*c*e^3 - 12*A*a*c^3*d^2*e - 3*A*b^3*c*d*e^2 + 12*A*a*b*c^2*d*e^2 + 3*B*a*b^2*c*d*e^2 - 3*A*b*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + (3*A*b^2*c*d*e^2*(b^2 - 4*a*c)^(1/2))/2 + (3*B*b^2*c*d^2*e*(b^2 - 4*a*c)^(1/2))/2)*(4*B*d*e^5*(b^2 - 4*a*c)^(7/2) + 3*B*e^6*x*(b^2 - 4*a*c)^(7/2) - 3*A*b^2*e^6*(b^2 - 4*a*c)^(5/2) + 2*A*b^4*e^6*(b^2 - 4*a*c)^(3/2) + A*b^6*e^6*(b^2 - 4*a*c)^(1/2) + 128*B*a^4*c^3*e^6 - 32*A*b^6*c*e^6*x - 2*B*a*b^5*e^6*(b^2 - 4*a*c)^(1/2) + B*b^2*d*e^5*(b^2 - 4*a*c)^(5/2) - 10*B*b^4*d*e^5*(b^2 - 4*a*c)^(3/2) + 5*B*b^6*d*e^5*(b^2 - 4*a*c)^(1/2) + B*b^2*e^6*x*(b^2 - 4*a*c)^(5/2) - 3*B*b^4*e^6*x*(b^2 - 4*a*c)^(3/2) - B*b^6*e^6*x*(b^2 - 4*a*c)^(1/2) - 320*A*a^3*b*c^3*e^6 + 48*B*a^2*b^4*c*e^6 + 640*A*a^3*c^4*d*e^5 - 32*A*b^2*c^5*d^5*e + 48*B*b^3*c^4*d^5*e - 48*A*c^2*d^2*e^4*(b^2 - 4*a*c)^(5/2) - 64*A*c^4*d^4*e^2*(b^2 - 4*a*c)^(3/2) + 48*B*c^2*d^3*e^3*(b^2 - 4*a*c)^(5/2) + 272*A*a^2*b^3*c^2*e^6 - 224*B*a^3*b^2*c^2*e^6 - 1280*A*a^2*c^5*d^3*e^3 - 48*A*b^3*c^4*d^4*e^2 + 96*A*b^4*c^3*d^3*e^3 - 64*A*b^5*c^2*d^2*e^4 + 640*B*a^2*c^5*d^4*e^2 - 1280*B*a^3*c^4*d^2*e^4 - 16*B*b^4*c^3*d^4*e^2 + 2*B*a*b*e^6*(b^2 - 4*a*c)^(5/2) - 48*A*a*b^5*c*e^6 + 128*A*a*c^6*d^5*e + 16*A*b^6*c*d*e^5 - 96*A*c^4*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) + 40*B*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(5/2) + 48*B*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(3/2) - 64*A*a*b^2*c^4*d^3*e^3 - 96*A*a*b^3*c^3*d^2*e^4 + 1408*A*a^2*b*c^4*d^2*e^4 - 928*A*a^2*b^2*c^3*d*e^5 - 96*B*a*b^2*c^4*d^4*e^2 - 32*B*a*b^3*c^3*d^3*e^3 + 64*B*a*b^4*c^2*d^2*e^4 + 128*B*a^2*b*c^4*d^3*e^3 - 144*B*a^2*b^3*c^2*d*e^5 - 256*A*a^2*b^2*c^3*e^6*x - 160*B*a^2*b^3*c^2*e^6*x - 1024*A*a^2*c^5*d^2*e^4*x - 256*A*b^2*c^5*d^4*e^2*x + 512*A*b^3*c^4*d^3*e^3*x - 448*A*b^4*c^3*d^2*e^4*x + 1536*B*a^2*c^5*d^3*e^3*x - 32*B*b^3*c^4*d^4*e^2*x + 30*A*b*c*d*e^5*(b^2 - 4*a*c)^(5/2) + 18*A*b*c*e^6*x*(b^2 - 4*a*c)^(5/2) - 192*B*a*b*c^5*d^5*e - 16*B*a*b^5*c*d*e^5 - 24*A*b^2*c^2*d^2*e^4*(b^2 - 4*a*c)^(3/2) + 80*A*b^2*c^4*d^4*e^2*(b^2 - 4*a*c)^(1/2) - 80*A*b^3*c^3*d^3*e^3*(b^2 - 4*a*c)^(1/2) + 40*A*b^4*c^2*d^2*e^4*(b^2 - 4*a*c)^(1/2) - 88*B*b^2*c^2*d^3*e^3*(b^2 - 4*a*c)^(3/2) - 40*B*b^3*c^3*d^4*e^2*(b^2 - 4*a*c)^(1/2) + 40*B*b^4*c^2*d^3*e^3*(b^2 - 4*a*c)^(1/2) + 32*B*a*b^5*c*e^6*x - 256*B*a*c^6*d^5*e*x + 64*B*a^2*b^2*c^3*d^2*e^4 - 32*A*b*c^5*d^5*e*(b^2 - 4*a*c)^(1/2) - 4*A*b^3*c*d*e^5*(b^2 - 4*a*c)^(3/2) - 10*A*b^5*c*d*e^5*(b^2 - 4*a*c)^(1/2) - 28*B*b*c*d^2*e^4*(b^2 - 4*a*c)^(5/2) + 12*A*b^3*c*e^6*x*(b^2 - 4*a*c)^(3/2) + 2*A*b^5*c*e^6*x*(b^2 - 4*a*c)^(1/2) - 36*A*c^2*d*e^5*x*(b^2 - 4*a*c)^(5/2) - 64*A*c^6*d^5*e*x*(b^2 - 4*a*c)^(1/2) + 192*A*a*b*c^5*d^4*e^2 + 128*A*a*b^4*c^2*d*e^5 + 832*B*a^3*b*c^3*d*e^5 + 192*A*a*b^4*c^2*e^6*x + 128*B*a^3*b*c^3*e^6*x + 1024*A*a*c^6*d^4*e^2*x + 192*A*b^5*c^2*d*e^5*x - 256*B*a^3*c^4*d*e^5*x + 64*B*b^2*c^5*d^5*e*x + 80*A*b*c^3*d^3*e^3*(b^2 - 4*a*c)^(3/2) + 56*B*b*c^3*d^4*e^2*(b^2 - 4*a*c)^(3/2) + 16*B*b^2*c^4*d^5*e*(b^2 - 4*a*c)^(1/2) + 48*B*b^3*c*d^2*e^4*(b^2 - 4*a*c)^(3/2) - 20*B*b^5*c*d^2*e^4*(b^2 - 4*a*c)^(1/2) + 32*B*b*c^5*d^5*e*x*(b^2 - 4*a*c)^(1/2) + 12*B*b^3*c*d*e^5*x*(b^2 - 4*a*c)^(3/2) + 10*B*b^5*c*d*e^5*x*(b^2 - 4*a*c)^(1/2) - 2048*A*a*b*c^5*d^3*e^3*x - 1024*A*a*b^3*c^3*d*e^5*x + 1024*A*a^2*b*c^4*d*e^5*x + 128*B*a*b*c^5*d^4*e^2*x - 192*B*a*b^4*c^2*d*e^5*x + 144*A*b*c^3*d^2*e^4*x*(b^2 - 4*a*c)^(3/2) + 160*A*b*c^5*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) - 72*A*b^2*c^2*d*e^5*x*(b^2 - 4*a*c)^(3/2) - 20*A*b^4*c^2*d*e^5*x*(b^2 - 4*a*c)^(1/2) - 48*B*b*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) + 2048*A*a*b^2*c^4*d^2*e^4*x - 384*B*a*b^2*c^4*d^3*e^3*x + 448*B*a*b^3*c^3*d^2*e^4*x - 1792*B*a^2*b*c^4*d^2*e^4*x + 832*B*a^2*b^2*c^3*d*e^5*x - 22*B*b*c*d*e^5*x*(b^2 - 4*a*c)^(5/2) - 160*A*b^2*c^4*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) + 80*A*b^3*c^3*d^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 80*B*b^2*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) + 80*B*b^3*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) - 40*B*b^4*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(1/2)))/(64*(4*a*c - b^2)^2*(a*e^2 + c*d^2 - b*d*e)^6) + (c^2*e*(A^2*b^3*e^4 + A*B*c^3*d^4 + B^2*a^2*b*e^4 - 2*A^2*c^3*d^3*e + 2*A^2*a*c^2*d*e^3 - 4*A^2*b^2*c*d*e^3 + 2*B^2*a*c^2*d^3*e - 2*B^2*a^2*c*d*e^3 + 5*A^2*b*c^2*d^2*e^2 - 2*A*B*a*b^2*e^4 + A*B*a^2*c*e^4 - A^2*a*b*c*e^4 - 2*A*B*b*c^2*d^3*e - 6*A*B*a*c^2*d^2*e^2 + A*B*b^2*c*d^2*e^2 - B^2*a*b*c*d^2*e^2 + 6*A*B*a*b*c*d*e^3))/(a*e^2 + c*d^2 - b*d*e)^4 + (c^3*e*x*(A*b*e^2 - B*a*e^2 + B*c*d^2 - 2*A*c*d*e)^2)/(a*e^2 + c*d^2 - b*d*e)^4)*((A*e^3*(4*a*c - b^2)^2)/4 - (3*A*b*e^3*(b^2 - 4*a*c)^(3/2))/4 + (B*a*e^3*(b^2 - 4*a*c)^(3/2))/2 - (3*A*b^2*e^3*(4*a*c - b^2))/4 - (A*b^3*e^3*(b^2 - 4*a*c)^(1/2))/4 + 2*A*c^3*d^3*(b^2 - 4*a*c)^(1/2) + B*c^2*d^3*(4*a*c - b^2) - (3*B*d*e^2*(4*a*c - b^2)^2)/4 + (B*a*b^2*e^3*(b^2 - 4*a*c)^(1/2))/2 - B*b*c^2*d^3*(b^2 - 4*a*c)^(1/2) - 3*A*c^2*d^2*e*(4*a*c - b^2) - (3*B*b^2*d*e^2*(4*a*c - b^2))/4 - (3*B*b^3*d*e^2*(b^2 - 4*a*c)^(1/2))/4 + B*a*b*e^3*(4*a*c - b^2) + (3*A*c*d*e^2*(b^2 - 4*a*c)^(3/2))/2 + (3*B*b*d*e^2*(b^2 - 4*a*c)^(3/2))/4 - (3*B*c*d^2*e*(b^2 - 4*a*c)^(3/2))/2 + 3*A*b*c*d*e^2*(4*a*c - b^2) - 3*A*b*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + (3*A*b^2*c*d*e^2*(b^2 - 4*a*c)^(1/2))/2 + (3*B*b^2*c*d^2*e*(b^2 - 4*a*c)^(1/2))/2))/((4*a*c - b^2)*((4*a*c - b^2)*((3*a*d^2*e^4)/2 - 3*b*d^3*e^3 + (3*c*d^4*e^2)/2) + 2*a^3*e^6 + 2*c^3*d^6 - 5*b^3*d^3*e^3 + (15*a*b^2*d^2*e^4)/2 + (15*b^2*c*d^4*e^2)/2 - 6*a^2*b*d*e^5 - 6*b*c^2*d^5*e)) - (log(d + e*x)*(e^2*(3*A*b*c*d - 3*B*a*c*d) + e^3*(A*a*c - A*b^2 + B*a*b) + B*c^2*d^3 - 3*A*c^2*d^2*e))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3) - ((A*a*e^3 - 3*B*c*d^3 - 3*A*b*d*e^2 + B*a*d*e^2 + 5*A*c*d^2*e + B*b*d^2*e)/(2*(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)) - (x*(A*b*e^3 - B*a*e^3 - 2*A*c*d*e^2 + B*c*d^2*e))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))/(d^2 + e^2*x^2 + 2*d*e*x) - (log((c^2*e*(A^2*b^3*e^4 + A*B*c^3*d^4 + B^2*a^2*b*e^4 - 2*A^2*c^3*d^3*e + 2*A^2*a*c^2*d*e^3 - 4*A^2*b^2*c*d*e^3 + 2*B^2*a*c^2*d^3*e - 2*B^2*a^2*c*d*e^3 + 5*A^2*b*c^2*d^2*e^2 - 2*A*B*a*b^2*e^4 + A*B*a^2*c*e^4 - A^2*a*b*c*e^4 - 2*A*B*b*c^2*d^3*e - 6*A*B*a*c^2*d^2*e^2 + A*B*b^2*c*d^2*e^2 - B^2*a*b*c*d^2*e^2 + 6*A*B*a*b*c*d*e^3))/(a*e^2 + c*d^2 - b*d*e)^4 - ((A*b^4*e^3 + (3*A*b*e^3*(b^2 - 4*a*c)^(3/2))/4 - (B*a*e^3*(b^2 - 4*a*c)^(3/2))/2 - B*a*b^3*e^3 + 4*B*a*c^3*d^3 + (A*b^3*e^3*(b^2 - 4*a*c)^(1/2))/4 - 2*A*c^3*d^3*(b^2 - 4*a*c)^(1/2) + 4*A*a^2*c^2*e^3 - B*b^2*c^2*d^3 - (B*a*b^2*e^3*(b^2 - 4*a*c)^(1/2))/2 + B*b*c^2*d^3*(b^2 - 4*a*c)^(1/2) + (3*B*b^3*d*e^2*(b^2 - 4*a*c)^(1/2))/4 + 3*A*b^2*c^2*d^2*e - 12*B*a^2*c^2*d*e^2 - (3*A*c*d*e^2*(b^2 - 4*a*c)^(3/2))/2 - (3*B*b*d*e^2*(b^2 - 4*a*c)^(3/2))/4 + (3*B*c*d^2*e*(b^2 - 4*a*c)^(3/2))/2 - 5*A*a*b^2*c*e^3 + 4*B*a^2*b*c*e^3 - 12*A*a*c^3*d^2*e - 3*A*b^3*c*d*e^2 + 12*A*a*b*c^2*d*e^2 + 3*B*a*b^2*c*d*e^2 + 3*A*b*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) - (3*A*b^2*c*d*e^2*(b^2 - 4*a*c)^(1/2))/2 - (3*B*b^2*c*d^2*e*(b^2 - 4*a*c)^(1/2))/2)*(4*B*d*e^5*(b^2 - 4*a*c)^(7/2) + 3*B*e^6*x*(b^2 - 4*a*c)^(7/2) - 3*A*b^2*e^6*(b^2 - 4*a*c)^(5/2) + 2*A*b^4*e^6*(b^2 - 4*a*c)^(3/2) + A*b^6*e^6*(b^2 - 4*a*c)^(1/2) - 128*B*a^4*c^3*e^6 + 32*A*b^6*c*e^6*x - 2*B*a*b^5*e^6*(b^2 - 4*a*c)^(1/2) + B*b^2*d*e^5*(b^2 - 4*a*c)^(5/2) - 10*B*b^4*d*e^5*(b^2 - 4*a*c)^(3/2) + 5*B*b^6*d*e^5*(b^2 - 4*a*c)^(1/2) + B*b^2*e^6*x*(b^2 - 4*a*c)^(5/2) - 3*B*b^4*e^6*x*(b^2 - 4*a*c)^(3/2) - B*b^6*e^6*x*(b^2 - 4*a*c)^(1/2) + 320*A*a^3*b*c^3*e^6 - 48*B*a^2*b^4*c*e^6 - 640*A*a^3*c^4*d*e^5 + 32*A*b^2*c^5*d^5*e - 48*B*b^3*c^4*d^5*e - 48*A*c^2*d^2*e^4*(b^2 - 4*a*c)^(5/2) - 64*A*c^4*d^4*e^2*(b^2 - 4*a*c)^(3/2) + 48*B*c^2*d^3*e^3*(b^2 - 4*a*c)^(5/2) - 272*A*a^2*b^3*c^2*e^6 + 224*B*a^3*b^2*c^2*e^6 + 1280*A*a^2*c^5*d^3*e^3 + 48*A*b^3*c^4*d^4*e^2 - 96*A*b^4*c^3*d^3*e^3 + 64*A*b^5*c^2*d^2*e^4 - 640*B*a^2*c^5*d^4*e^2 + 1280*B*a^3*c^4*d^2*e^4 + 16*B*b^4*c^3*d^4*e^2 + 2*B*a*b*e^6*(b^2 - 4*a*c)^(5/2) + 48*A*a*b^5*c*e^6 - 128*A*a*c^6*d^5*e - 16*A*b^6*c*d*e^5 - 96*A*c^4*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) + 40*B*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(5/2) + 48*B*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(3/2) + 64*A*a*b^2*c^4*d^3*e^3 + 96*A*a*b^3*c^3*d^2*e^4 - 1408*A*a^2*b*c^4*d^2*e^4 + 928*A*a^2*b^2*c^3*d*e^5 + 96*B*a*b^2*c^4*d^4*e^2 + 32*B*a*b^3*c^3*d^3*e^3 - 64*B*a*b^4*c^2*d^2*e^4 - 128*B*a^2*b*c^4*d^3*e^3 + 144*B*a^2*b^3*c^2*d*e^5 + 256*A*a^2*b^2*c^3*e^6*x + 160*B*a^2*b^3*c^2*e^6*x + 1024*A*a^2*c^5*d^2*e^4*x + 256*A*b^2*c^5*d^4*e^2*x - 512*A*b^3*c^4*d^3*e^3*x + 448*A*b^4*c^3*d^2*e^4*x - 1536*B*a^2*c^5*d^3*e^3*x + 32*B*b^3*c^4*d^4*e^2*x + 30*A*b*c*d*e^5*(b^2 - 4*a*c)^(5/2) + 18*A*b*c*e^6*x*(b^2 - 4*a*c)^(5/2) + 192*B*a*b*c^5*d^5*e + 16*B*a*b^5*c*d*e^5 - 24*A*b^2*c^2*d^2*e^4*(b^2 - 4*a*c)^(3/2) + 80*A*b^2*c^4*d^4*e^2*(b^2 - 4*a*c)^(1/2) - 80*A*b^3*c^3*d^3*e^3*(b^2 - 4*a*c)^(1/2) + 40*A*b^4*c^2*d^2*e^4*(b^2 - 4*a*c)^(1/2) - 88*B*b^2*c^2*d^3*e^3*(b^2 - 4*a*c)^(3/2) - 40*B*b^3*c^3*d^4*e^2*(b^2 - 4*a*c)^(1/2) + 40*B*b^4*c^2*d^3*e^3*(b^2 - 4*a*c)^(1/2) - 32*B*a*b^5*c*e^6*x + 256*B*a*c^6*d^5*e*x - 64*B*a^2*b^2*c^3*d^2*e^4 - 32*A*b*c^5*d^5*e*(b^2 - 4*a*c)^(1/2) - 4*A*b^3*c*d*e^5*(b^2 - 4*a*c)^(3/2) - 10*A*b^5*c*d*e^5*(b^2 - 4*a*c)^(1/2) - 28*B*b*c*d^2*e^4*(b^2 - 4*a*c)^(5/2) + 12*A*b^3*c*e^6*x*(b^2 - 4*a*c)^(3/2) + 2*A*b^5*c*e^6*x*(b^2 - 4*a*c)^(1/2) - 36*A*c^2*d*e^5*x*(b^2 - 4*a*c)^(5/2) - 64*A*c^6*d^5*e*x*(b^2 - 4*a*c)^(1/2) - 192*A*a*b*c^5*d^4*e^2 - 128*A*a*b^4*c^2*d*e^5 - 832*B*a^3*b*c^3*d*e^5 - 192*A*a*b^4*c^2*e^6*x - 128*B*a^3*b*c^3*e^6*x - 1024*A*a*c^6*d^4*e^2*x - 192*A*b^5*c^2*d*e^5*x + 256*B*a^3*c^4*d*e^5*x - 64*B*b^2*c^5*d^5*e*x + 80*A*b*c^3*d^3*e^3*(b^2 - 4*a*c)^(3/2) + 56*B*b*c^3*d^4*e^2*(b^2 - 4*a*c)^(3/2) + 16*B*b^2*c^4*d^5*e*(b^2 - 4*a*c)^(1/2) + 48*B*b^3*c*d^2*e^4*(b^2 - 4*a*c)^(3/2) - 20*B*b^5*c*d^2*e^4*(b^2 - 4*a*c)^(1/2) + 32*B*b*c^5*d^5*e*x*(b^2 - 4*a*c)^(1/2) + 12*B*b^3*c*d*e^5*x*(b^2 - 4*a*c)^(3/2) + 10*B*b^5*c*d*e^5*x*(b^2 - 4*a*c)^(1/2) + 2048*A*a*b*c^5*d^3*e^3*x + 1024*A*a*b^3*c^3*d*e^5*x - 1024*A*a^2*b*c^4*d*e^5*x - 128*B*a*b*c^5*d^4*e^2*x + 192*B*a*b^4*c^2*d*e^5*x + 144*A*b*c^3*d^2*e^4*x*(b^2 - 4*a*c)^(3/2) + 160*A*b*c^5*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) - 72*A*b^2*c^2*d*e^5*x*(b^2 - 4*a*c)^(3/2) - 20*A*b^4*c^2*d*e^5*x*(b^2 - 4*a*c)^(1/2) - 48*B*b*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) - 2048*A*a*b^2*c^4*d^2*e^4*x + 384*B*a*b^2*c^4*d^3*e^3*x - 448*B*a*b^3*c^3*d^2*e^4*x + 1792*B*a^2*b*c^4*d^2*e^4*x - 832*B*a^2*b^2*c^3*d*e^5*x - 22*B*b*c*d*e^5*x*(b^2 - 4*a*c)^(5/2) - 160*A*b^2*c^4*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) + 80*A*b^3*c^3*d^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 80*B*b^2*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) + 80*B*b^3*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) - 40*B*b^4*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(1/2)))/(64*(4*a*c - b^2)^2*(a*e^2 + c*d^2 - b*d*e)^6) + (c^3*e*x*(A*b*e^2 - B*a*e^2 + B*c*d^2 - 2*A*c*d*e)^2)/(a*e^2 + c*d^2 - b*d*e)^4)*((B*a*e^3*(b^2 - 4*a*c)^(3/2))/2 - (3*A*b*e^3*(b^2 - 4*a*c)^(3/2))/4 - (A*e^3*(4*a*c - b^2)^2)/4 + (3*A*b^2*e^3*(4*a*c - b^2))/4 - (A*b^3*e^3*(b^2 - 4*a*c)^(1/2))/4 + 2*A*c^3*d^3*(b^2 - 4*a*c)^(1/2) - B*c^2*d^3*(4*a*c - b^2) + (3*B*d*e^2*(4*a*c - b^2)^2)/4 + (B*a*b^2*e^3*(b^2 - 4*a*c)^(1/2))/2 - B*b*c^2*d^3*(b^2 - 4*a*c)^(1/2) + 3*A*c^2*d^2*e*(4*a*c - b^2) + (3*B*b^2*d*e^2*(4*a*c - b^2))/4 - (3*B*b^3*d*e^2*(b^2 - 4*a*c)^(1/2))/4 - B*a*b*e^3*(4*a*c - b^2) + (3*A*c*d*e^2*(b^2 - 4*a*c)^(3/2))/2 + (3*B*b*d*e^2*(b^2 - 4*a*c)^(3/2))/4 - (3*B*c*d^2*e*(b^2 - 4*a*c)^(3/2))/2 - 3*A*b*c*d*e^2*(4*a*c - b^2) - 3*A*b*c^2*d^2*e*(b^2 - 4*a*c)^(1/2) + (3*A*b^2*c*d*e^2*(b^2 - 4*a*c)^(1/2))/2 + (3*B*b^2*c*d^2*e*(b^2 - 4*a*c)^(1/2))/2))/((4*a*c - b^2)*((4*a*c - b^2)*((3*a*d^2*e^4)/2 - 3*b*d^3*e^3 + (3*c*d^4*e^2)/2) + 2*a^3*e^6 + 2*c^3*d^6 - 5*b^3*d^3*e^3 + (15*a*b^2*d^2*e^4)/2 + (15*b^2*c*d^4*e^2)/2 - 6*a^2*b*d*e^5 - 6*b*c^2*d^5*e))","B"
2371,1,1763,543,5.592934,"\text{Not used}","int(((f + g*x)*(d + e*x)^4)/(a + b*x + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{x\,\left(32\,a^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^5}+\frac{\left(32\,a^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)\,\left(16\,a^2\,b\,c^4-8\,a\,b^3\,c^3+b^5\,c^2\right)}{2\,c^5\,{\left(4\,a\,c-b^2\right)}^5\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(-30\,g\,a^2\,b\,c^2\,e^4+48\,g\,a^2\,c^3\,d\,e^3+12\,f\,a^2\,c^3\,e^4+10\,g\,a\,b^3\,c\,e^4-36\,g\,a\,b\,c^3\,d^2\,e^2-24\,f\,a\,b\,c^3\,d\,e^3+16\,g\,a\,c^4\,d^3\,e+24\,f\,a\,c^4\,d^2\,e^2-g\,b^5\,e^4+8\,g\,b^2\,c^3\,d^3\,e+12\,f\,b^2\,c^3\,d^2\,e^2-6\,g\,b\,c^4\,d^4-24\,f\,b\,c^4\,d^3\,e+12\,f\,c^5\,d^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-1024\,g\,a^5\,c^5\,e^4+1280\,g\,a^4\,b^2\,c^4\,e^4-640\,g\,a^3\,b^4\,c^3\,e^4+160\,g\,a^2\,b^6\,c^2\,e^4-20\,g\,a\,b^8\,c\,e^4+g\,b^{10}\,e^4\right)}{2\,\left(1024\,a^5\,c^8-1280\,a^4\,b^2\,c^7+640\,a^3\,b^4\,c^6-160\,a^2\,b^6\,c^5+20\,a\,b^8\,c^4-b^{10}\,c^3\right)}-\frac{\frac{-24\,g\,a^4\,c^2\,e^4+21\,g\,a^3\,b^2\,c\,e^4-40\,g\,a^3\,b\,c^2\,d\,e^3-10\,f\,a^3\,b\,c^2\,e^4+48\,g\,a^3\,c^3\,d^2\,e^2+32\,f\,a^3\,c^3\,d\,e^3-3\,g\,a^2\,b^4\,e^4+4\,g\,a^2\,b^3\,c\,d\,e^3+f\,a^2\,b^3\,c\,e^4+6\,g\,a^2\,b^2\,c^2\,d^2\,e^2+4\,f\,a^2\,b^2\,c^2\,d\,e^3-24\,g\,a^2\,b\,c^3\,d^3\,e-36\,f\,a^2\,b\,c^3\,d^2\,e^2+8\,g\,a^2\,c^4\,d^4+32\,f\,a^2\,c^4\,d^3\,e+g\,a\,b^2\,c^3\,d^4+4\,f\,a\,b^2\,c^3\,d^3\,e-10\,f\,a\,b\,c^4\,d^4+f\,b^3\,c^3\,d^4}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^3\,\left(25\,g\,a^2\,b\,c^2\,e^4-40\,g\,a^2\,c^3\,d\,e^3-10\,f\,a^2\,c^3\,e^4-15\,g\,a\,b^3\,c\,e^4+32\,g\,a\,b^2\,c^2\,d\,e^3+8\,f\,a\,b^2\,c^2\,e^4-18\,g\,a\,b\,c^3\,d^2\,e^2-12\,f\,a\,b\,c^3\,d\,e^3+8\,g\,a\,c^4\,d^3\,e+12\,f\,a\,c^4\,d^2\,e^2+2\,g\,b^5\,e^4-4\,g\,b^4\,c\,d\,e^3-f\,b^4\,c\,e^4+4\,g\,b^2\,c^3\,d^3\,e+6\,f\,b^2\,c^3\,d^2\,e^2-3\,g\,b\,c^4\,d^4-12\,f\,b\,c^4\,d^3\,e+6\,f\,c^5\,d^4\right)}{c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^2\,\left(32\,g\,a^3\,c^3\,e^4+11\,g\,a^2\,b^2\,c^2\,e^4+8\,g\,a^2\,b\,c^3\,d\,e^3+2\,f\,a^2\,b\,c^3\,e^4-96\,g\,a^2\,c^4\,d^2\,e^2-64\,f\,a^2\,c^4\,d\,e^3-19\,g\,a\,b^4\,c\,e^4+32\,g\,a\,b^3\,c^2\,d\,e^3+8\,f\,a\,b^3\,c^2\,e^4-6\,g\,a\,b^2\,c^3\,d^2\,e^2-4\,f\,a\,b^2\,c^3\,d\,e^3+24\,g\,a\,b\,c^4\,d^3\,e+36\,f\,a\,b\,c^4\,d^2\,e^2+3\,g\,b^6\,e^4-4\,g\,b^5\,c\,d\,e^3-f\,b^5\,c\,e^4-6\,g\,b^4\,c^2\,d^2\,e^2-4\,f\,b^4\,c^2\,d\,e^3+12\,g\,b^3\,c^3\,d^3\,e+18\,f\,b^3\,c^3\,d^2\,e^2-9\,g\,b^2\,c^4\,d^4-36\,f\,b^2\,c^4\,d^3\,e+18\,f\,b\,c^5\,d^4\right)}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(-31\,g\,a^3\,b\,c^2\,e^4+24\,g\,a^3\,c^3\,d\,e^3+6\,f\,a^3\,c^3\,e^4+22\,g\,a^2\,b^3\,c\,e^4-40\,g\,a^2\,b^2\,c^2\,d\,e^3-10\,f\,a^2\,b^2\,c^2\,e^4+30\,g\,a^2\,b\,c^3\,d^2\,e^2+20\,f\,a^2\,b\,c^3\,d\,e^3+8\,g\,a^2\,c^4\,d^3\,e+12\,f\,a^2\,c^4\,d^2\,e^2-3\,g\,a\,b^5\,e^4+4\,g\,a\,b^4\,c\,d\,e^3+f\,a\,b^4\,c\,e^4+6\,g\,a\,b^3\,c^2\,d^2\,e^2+4\,f\,a\,b^3\,c^2\,d\,e^3-20\,g\,a\,b^2\,c^3\,d^3\,e-30\,f\,a\,b^2\,c^3\,d^2\,e^2+5\,g\,a\,b\,c^4\,d^4+20\,f\,a\,b\,c^4\,d^3\,e-10\,f\,a\,c^5\,d^4+g\,b^3\,c^3\,d^4+4\,f\,b^3\,c^3\,d^3\,e-2\,f\,b^2\,c^4\,d^4\right)}{c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(atan((x*(32*a^2*c^5*(4*a*c - b^2)^(5/2) + 2*b^4*c^3*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^4*(4*a*c - b^2)^(5/2)))/(c^2*(4*a*c - b^2)^5) + ((32*a^2*c^5*(4*a*c - b^2)^(5/2) + 2*b^4*c^3*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^4*(4*a*c - b^2)^(5/2))*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4))/(2*c^5*(4*a*c - b^2)^5*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(12*c^5*d^4*f - b^5*e^4*g + 12*a^2*c^3*e^4*f - 6*b*c^4*d^4*g + 10*a*b^3*c*e^4*g + 16*a*c^4*d^3*e*g - 24*b*c^4*d^3*e*f - 30*a^2*b*c^2*e^4*g + 24*a*c^4*d^2*e^2*f + 48*a^2*c^3*d*e^3*g + 8*b^2*c^3*d^3*e*g + 12*b^2*c^3*d^2*e^2*f - 24*a*b*c^3*d*e^3*f - 36*a*b*c^3*d^2*e^2*g))/(c^3*(4*a*c - b^2)^(5/2)) - (log(a + b*x + c*x^2)*(b^10*e^4*g - 1024*a^5*c^5*e^4*g - 20*a*b^8*c*e^4*g + 160*a^2*b^6*c^2*e^4*g - 640*a^3*b^4*c^3*e^4*g + 1280*a^4*b^2*c^4*e^4*g))/(2*(1024*a^5*c^8 - b^10*c^3 + 20*a*b^8*c^4 - 160*a^2*b^6*c^5 + 640*a^3*b^4*c^6 - 1280*a^4*b^2*c^7)) - ((8*a^2*c^4*d^4*g - 3*a^2*b^4*e^4*g + b^3*c^3*d^4*f - 24*a^4*c^2*e^4*g - 10*a*b*c^4*d^4*f + a*b^2*c^3*d^4*g + a^2*b^3*c*e^4*f - 10*a^3*b*c^2*e^4*f + 21*a^3*b^2*c*e^4*g + 32*a^2*c^4*d^3*e*f + 32*a^3*c^3*d*e^3*f + 48*a^3*c^3*d^2*e^2*g - 36*a^2*b*c^3*d^2*e^2*f + 4*a^2*b^2*c^2*d*e^3*f + 6*a^2*b^2*c^2*d^2*e^2*g + 4*a*b^2*c^3*d^3*e*f - 24*a^2*b*c^3*d^3*e*g + 4*a^2*b^3*c*d*e^3*g - 40*a^3*b*c^2*d*e^3*g)/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^3*(6*c^5*d^4*f + 2*b^5*e^4*g - 10*a^2*c^3*e^4*f - 3*b*c^4*d^4*g - b^4*c*e^4*f - 15*a*b^3*c*e^4*g + 8*a*c^4*d^3*e*g - 12*b*c^4*d^3*e*f - 4*b^4*c*d*e^3*g + 8*a*b^2*c^2*e^4*f + 25*a^2*b*c^2*e^4*g + 12*a*c^4*d^2*e^2*f - 40*a^2*c^3*d*e^3*g + 4*b^2*c^3*d^3*e*g + 6*b^2*c^3*d^2*e^2*f - 12*a*b*c^3*d*e^3*f - 18*a*b*c^3*d^2*e^2*g + 32*a*b^2*c^2*d*e^3*g))/(c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^2*(3*b^6*e^4*g + 32*a^3*c^3*e^4*g - 9*b^2*c^4*d^4*g + 18*b*c^5*d^4*f - b^5*c*e^4*f - 19*a*b^4*c*e^4*g - 4*b^5*c*d*e^3*g + 8*a*b^3*c^2*e^4*f + 2*a^2*b*c^3*e^4*f - 64*a^2*c^4*d*e^3*f - 36*b^2*c^4*d^3*e*f - 4*b^4*c^2*d*e^3*f + 12*b^3*c^3*d^3*e*g + 11*a^2*b^2*c^2*e^4*g - 96*a^2*c^4*d^2*e^2*g + 18*b^3*c^3*d^2*e^2*f - 6*b^4*c^2*d^2*e^2*g - 6*a*b^2*c^3*d^2*e^2*g + 24*a*b*c^4*d^3*e*g + 36*a*b*c^4*d^2*e^2*f - 4*a*b^2*c^3*d*e^3*f + 32*a*b^3*c^2*d*e^3*g + 8*a^2*b*c^3*d*e^3*g))/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(6*a^3*c^3*e^4*f - 2*b^2*c^4*d^4*f + b^3*c^3*d^4*g - 10*a*c^5*d^4*f - 3*a*b^5*e^4*g + 5*a*b*c^4*d^4*g + a*b^4*c*e^4*f + 22*a^2*b^3*c*e^4*g - 31*a^3*b*c^2*e^4*g + 8*a^2*c^4*d^3*e*g + 24*a^3*c^3*d*e^3*g + 4*b^3*c^3*d^3*e*f - 10*a^2*b^2*c^2*e^4*f + 12*a^2*c^4*d^2*e^2*f - 30*a*b^2*c^3*d^2*e^2*f + 6*a*b^3*c^2*d^2*e^2*g + 30*a^2*b*c^3*d^2*e^2*g - 40*a^2*b^2*c^2*d*e^3*g + 20*a*b*c^4*d^3*e*f + 4*a*b^4*c*d*e^3*g + 4*a*b^3*c^2*d*e^3*f + 20*a^2*b*c^3*d*e^3*f - 20*a*b^2*c^3*d^3*e*g))/(c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
2372,1,1167,195,3.355898,"\text{Not used}","int(((f + g*x)*(d + e*x)^3)/(a + b*x + c*x^2)^3,x)","\frac{6\,\mathrm{atan}\left(\frac{\left(\frac{3\,\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)\,\left(2\,a\,e\,g-b\,d\,g-b\,e\,f+2\,c\,d\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{6\,c\,x\,\left(c\,d^2-b\,d\,e+a\,e^2\right)\,\left(2\,a\,e\,g-b\,d\,g-b\,e\,f+2\,c\,d\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,g\,a^2\,e^3-9\,g\,a\,b\,d\,e^2-3\,f\,a\,b\,e^3+6\,g\,a\,c\,d^2\,e+6\,f\,a\,c\,d\,e^2+3\,g\,b^2\,d^2\,e+3\,f\,b^2\,d\,e^2-3\,g\,b\,c\,d^3-9\,f\,b\,c\,d^2\,e+6\,f\,c^2\,d^3}\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)\,\left(2\,a\,e\,g-b\,d\,g-b\,e\,f+2\,c\,d\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{-10\,g\,a^3\,b\,c\,e^3+24\,g\,a^3\,c^2\,d\,e^2+8\,f\,a^3\,c^2\,e^3+g\,a^2\,b^3\,e^3+3\,g\,a^2\,b^2\,c\,d\,e^2+f\,a^2\,b^2\,c\,e^3-18\,g\,a^2\,b\,c^2\,d^2\,e-18\,f\,a^2\,b\,c^2\,d\,e^2+8\,g\,a^2\,c^3\,d^3+24\,f\,a^2\,c^3\,d^2\,e+g\,a\,b^2\,c^2\,d^3+3\,f\,a\,b^2\,c^2\,d^2\,e-10\,f\,a\,b\,c^3\,d^3+f\,b^3\,c^2\,d^3}{2\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(6\,g\,a^3\,c^2\,e^3-10\,g\,a^2\,b^2\,c\,e^3+15\,g\,a^2\,b\,c^2\,d\,e^2+5\,f\,a^2\,b\,c^2\,e^3+6\,g\,a^2\,c^3\,d^2\,e+6\,f\,a^2\,c^3\,d\,e^2+g\,a\,b^4\,e^3+3\,g\,a\,b^3\,c\,d\,e^2+f\,a\,b^3\,c\,e^3-15\,g\,a\,b^2\,c^2\,d^2\,e-15\,f\,a\,b^2\,c^2\,d\,e^2+5\,g\,a\,b\,c^3\,d^3+15\,f\,a\,b\,c^3\,d^2\,e-10\,f\,a\,c^4\,d^3+g\,b^3\,c^2\,d^3+3\,f\,b^3\,c^2\,d^2\,e-2\,f\,b^2\,c^3\,d^3\right)}{c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^3\,\left(-10\,g\,a^2\,c^2\,e^3+8\,g\,a\,b^2\,c\,e^3-9\,g\,a\,b\,c^2\,d\,e^2-3\,f\,a\,b\,c^2\,e^3+6\,g\,a\,c^3\,d^2\,e+6\,f\,a\,c^3\,d\,e^2-g\,b^4\,e^3+3\,g\,b^2\,c^2\,d^2\,e+3\,f\,b^2\,c^2\,d\,e^2-3\,g\,b\,c^3\,d^3-9\,f\,b\,c^3\,d^2\,e+6\,f\,c^4\,d^3\right)}{c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(-2\,g\,a^2\,b\,c^2\,e^3+48\,g\,a^2\,c^3\,d\,e^2+16\,f\,a^2\,c^3\,e^3-8\,g\,a\,b^3\,c\,e^3+3\,g\,a\,b^2\,c^2\,d\,e^2+f\,a\,b^2\,c^2\,e^3-18\,g\,a\,b\,c^3\,d^2\,e-18\,f\,a\,b\,c^3\,d\,e^2+g\,b^5\,e^3+3\,g\,b^4\,c\,d\,e^2+f\,b^4\,c\,e^3-9\,g\,b^3\,c^2\,d^2\,e-9\,f\,b^3\,c^2\,d\,e^2+9\,g\,b^2\,c^3\,d^3+27\,f\,b^2\,c^3\,d^2\,e-18\,f\,b\,c^4\,d^3\right)}{2\,c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(6*atan((((3*(b^5 + 16*a^2*b*c^2 - 8*a*b^3*c)*(a*e^2 + c*d^2 - b*d*e)*(2*a*e*g - b*d*g - b*e*f + 2*c*d*f))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (6*c*x*(a*e^2 + c*d^2 - b*d*e)*(2*a*e*g - b*d*g - b*e*f + 2*c*d*f))/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*a^2*e^3*g + 6*c^2*d^3*f - 3*a*b*e^3*f - 3*b*c*d^3*g + 3*b^2*d*e^2*f + 3*b^2*d^2*e*g - 9*a*b*d*e^2*g + 6*a*c*d*e^2*f + 6*a*c*d^2*e*g - 9*b*c*d^2*e*f))*(a*e^2 + c*d^2 - b*d*e)*(2*a*e*g - b*d*g - b*e*f + 2*c*d*f))/(4*a*c - b^2)^(5/2) - ((a^2*b^3*e^3*g + 8*a^2*c^3*d^3*g + 8*a^3*c^2*e^3*f + b^3*c^2*d^3*f - 10*a*b*c^3*d^3*f - 10*a^3*b*c*e^3*g + a*b^2*c^2*d^3*g + a^2*b^2*c*e^3*f + 24*a^2*c^3*d^2*e*f + 24*a^3*c^2*d*e^2*g + 3*a*b^2*c^2*d^2*e*f - 18*a^2*b*c^2*d*e^2*f - 18*a^2*b*c^2*d^2*e*g + 3*a^2*b^2*c*d*e^2*g)/(2*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(6*a^3*c^2*e^3*g - 2*b^2*c^3*d^3*f + b^3*c^2*d^3*g - 10*a*c^4*d^3*f + a*b^4*e^3*g + 5*a*b*c^3*d^3*g + a*b^3*c*e^3*f + 5*a^2*b*c^2*e^3*f - 10*a^2*b^2*c*e^3*g + 6*a^2*c^3*d*e^2*f + 6*a^2*c^3*d^2*e*g + 3*b^3*c^2*d^2*e*f + 15*a*b*c^3*d^2*e*f + 3*a*b^3*c*d*e^2*g - 15*a*b^2*c^2*d*e^2*f - 15*a*b^2*c^2*d^2*e*g + 15*a^2*b*c^2*d*e^2*g))/(c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^3*(6*c^4*d^3*f - b^4*e^3*g - 10*a^2*c^2*e^3*g - 3*b*c^3*d^3*g - 3*a*b*c^2*e^3*f + 8*a*b^2*c*e^3*g + 6*a*c^3*d*e^2*f + 6*a*c^3*d^2*e*g - 9*b*c^3*d^2*e*f + 3*b^2*c^2*d*e^2*f + 3*b^2*c^2*d^2*e*g - 9*a*b*c^2*d*e^2*g))/(c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(b^5*e^3*g + 16*a^2*c^3*e^3*f + 9*b^2*c^3*d^3*g - 18*b*c^4*d^3*f + b^4*c*e^3*f - 8*a*b^3*c*e^3*g + 3*b^4*c*d*e^2*g + a*b^2*c^2*e^3*f - 2*a^2*b*c^2*e^3*g + 48*a^2*c^3*d*e^2*g + 27*b^2*c^3*d^2*e*f - 9*b^3*c^2*d*e^2*f - 9*b^3*c^2*d^2*e*g - 18*a*b*c^3*d*e^2*f - 18*a*b*c^3*d^2*e*g + 3*a*b^2*c^2*d*e^2*g))/(2*c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
2373,1,913,305,3.226231,"\text{Not used}","int(((f + g*x)*(d + e*x)^2)/(a + b*x + c*x^2)^3,x)","\frac{2\,\mathrm{atan}\left(\frac{\left(\frac{2\,c\,x\,\left(2\,g\,b^2\,d\,e+f\,b^2\,e^2-3\,g\,b\,c\,d^2-6\,f\,b\,c\,d\,e-3\,a\,g\,b\,e^2+6\,f\,c^2\,d^2+4\,a\,g\,c\,d\,e+2\,a\,f\,c\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)\,\left(2\,g\,b^2\,d\,e+f\,b^2\,e^2-3\,g\,b\,c\,d^2-6\,f\,b\,c\,d\,e-3\,a\,g\,b\,e^2+6\,f\,c^2\,d^2+4\,a\,g\,c\,d\,e+2\,a\,f\,c\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{2\,g\,b^2\,d\,e+f\,b^2\,e^2-3\,g\,b\,c\,d^2-6\,f\,b\,c\,d\,e-3\,a\,g\,b\,e^2+6\,f\,c^2\,d^2+4\,a\,g\,c\,d\,e+2\,a\,f\,c\,e^2}\right)\,\left(2\,g\,b^2\,d\,e+f\,b^2\,e^2-3\,g\,b\,c\,d^2-6\,f\,b\,c\,d\,e-3\,a\,g\,b\,e^2+6\,f\,c^2\,d^2+4\,a\,g\,c\,d\,e+2\,a\,f\,c\,e^2\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{8\,g\,a^3\,c\,e^2+g\,a^2\,b^2\,e^2-12\,g\,a^2\,b\,c\,d\,e-6\,f\,a^2\,b\,c\,e^2+8\,g\,a^2\,c^2\,d^2+16\,f\,a^2\,c^2\,d\,e+g\,a\,b^2\,c\,d^2+2\,f\,a\,b^2\,c\,d\,e-10\,f\,a\,b\,c^2\,d^2+f\,b^3\,c\,d^2}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x^2\,\left(16\,g\,a^2\,c^2\,e^2+g\,a\,b^2\,c\,e^2-12\,g\,a\,b\,c^2\,d\,e-6\,f\,a\,b\,c^2\,e^2+g\,b^4\,e^2-6\,g\,b^3\,c\,d\,e-3\,f\,b^3\,c\,e^2+9\,g\,b^2\,c^2\,d^2+18\,f\,b^2\,c^2\,d\,e-18\,f\,b\,c^3\,d^2\right)}{2\,c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(5\,g\,a^2\,b\,c\,e^2+4\,g\,a^2\,c^2\,d\,e+2\,f\,a^2\,c^2\,e^2+g\,a\,b^3\,e^2-10\,g\,a\,b^2\,c\,d\,e-5\,f\,a\,b^2\,c\,e^2+5\,g\,a\,b\,c^2\,d^2+10\,f\,a\,b\,c^2\,d\,e-10\,f\,a\,c^3\,d^2+g\,b^3\,c\,d^2+2\,f\,b^3\,c\,d\,e-2\,f\,b^2\,c^2\,d^2\right)}{c\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{c\,x^3\,\left(2\,g\,b^2\,d\,e+f\,b^2\,e^2-3\,g\,b\,c\,d^2-6\,f\,b\,c\,d\,e-3\,a\,g\,b\,e^2+6\,f\,c^2\,d^2+4\,a\,g\,c\,d\,e+2\,a\,f\,c\,e^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(2*atan((((2*c*x*(b^2*e^2*f + 6*c^2*d^2*f - 3*a*b*e^2*g + 2*a*c*e^2*f - 3*b*c*d^2*g + 2*b^2*d*e*g + 4*a*c*d*e*g - 6*b*c*d*e*f))/(4*a*c - b^2)^(5/2) + ((b^5 + 16*a^2*b*c^2 - 8*a*b^3*c)*(b^2*e^2*f + 6*c^2*d^2*f - 3*a*b*e^2*g + 2*a*c*e^2*f - 3*b*c*d^2*g + 2*b^2*d*e*g + 4*a*c*d*e*g - 6*b*c*d*e*f))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(b^2*e^2*f + 6*c^2*d^2*f - 3*a*b*e^2*g + 2*a*c*e^2*f - 3*b*c*d^2*g + 2*b^2*d*e*g + 4*a*c*d*e*g - 6*b*c*d*e*f))*(b^2*e^2*f + 6*c^2*d^2*f - 3*a*b*e^2*g + 2*a*c*e^2*f - 3*b*c*d^2*g + 2*b^2*d*e*g + 4*a*c*d*e*g - 6*b*c*d*e*f))/(4*a*c - b^2)^(5/2) - ((a^2*b^2*e^2*g + 8*a^2*c^2*d^2*g + b^3*c*d^2*f + 8*a^3*c*e^2*g - 10*a*b*c^2*d^2*f + a*b^2*c*d^2*g - 6*a^2*b*c*e^2*f + 16*a^2*c^2*d*e*f + 2*a*b^2*c*d*e*f - 12*a^2*b*c*d*e*g)/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x^2*(b^4*e^2*g + 16*a^2*c^2*e^2*g + 9*b^2*c^2*d^2*g - 18*b*c^3*d^2*f - 3*b^3*c*e^2*f - 6*a*b*c^2*e^2*f + a*b^2*c*e^2*g + 18*b^2*c^2*d*e*f - 6*b^3*c*d*e*g - 12*a*b*c^2*d*e*g))/(2*c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(2*a^2*c^2*e^2*f - 2*b^2*c^2*d^2*f - 10*a*c^3*d^2*f + a*b^3*e^2*g + b^3*c*d^2*g + 5*a*b*c^2*d^2*g - 5*a*b^2*c*e^2*f + 5*a^2*b*c*e^2*g + 4*a^2*c^2*d*e*g + 2*b^3*c*d*e*f + 10*a*b*c^2*d*e*f - 10*a*b^2*c*d*e*g))/(c*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (c*x^3*(b^2*e^2*f + 6*c^2*d^2*f - 3*a*b*e^2*g + 2*a*c*e^2*f - 3*b*c*d^2*g + 2*b^2*d*e*g + 4*a*c*d*e*g - 6*b*c*d*e*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
2374,1,555,221,0.593751,"\text{Not used}","int(((f + g*x)*(d + e*x))/(a + b*x + c*x^2)^3,x)","\frac{2\,\mathrm{atan}\left(\frac{\left(\frac{2\,c\,x\,\left(6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)\,\left(6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f}\right)\,\left(6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{b^3\,d\,f+a\,b^2\,d\,g+a\,b^2\,e\,f-6\,a^2\,b\,e\,g+8\,a^2\,c\,d\,g+8\,a^2\,c\,e\,f-10\,a\,b\,c\,d\,f}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(b^3\,d\,g+b^3\,e\,f-10\,a\,c^2\,d\,f-5\,a\,b^2\,e\,g-2\,b^2\,c\,d\,f+2\,a^2\,c\,e\,g+5\,a\,b\,c\,d\,g+5\,a\,b\,c\,e\,f\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}-\frac{3\,b\,x^2\,\left(6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{c\,x^3\,\left(6\,c^2\,d\,f+b^2\,e\,g+2\,a\,c\,e\,g-3\,b\,c\,d\,g-3\,b\,c\,e\,f\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(2*atan((((2*c*x*(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))/(4*a*c - b^2)^(5/2) + ((b^5 + 16*a^2*b*c^2 - 8*a*b^3*c)*(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))*(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))/(4*a*c - b^2)^(5/2) - ((b^3*d*f + a*b^2*d*g + a*b^2*e*f - 6*a^2*b*e*g + 8*a^2*c*d*g + 8*a^2*c*e*f - 10*a*b*c*d*f)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(b^3*d*g + b^3*e*f - 10*a*c^2*d*f - 5*a*b^2*e*g - 2*b^2*c*d*f + 2*a^2*c*e*g + 5*a*b*c*d*g + 5*a*b*c*e*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) - (3*b*x^2*(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (c*x^3*(6*c^2*d*f + b^2*e*g + 2*a*c*e*g - 3*b*c*d*g - 3*b*c*e*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
2375,1,353,131,2.570747,"\text{Not used}","int((f + g*x)/(a + b*x + c*x^2)^3,x)","\frac{6\,c\,\mathrm{atan}\left(\frac{\left(\frac{6\,c^2\,x\,\left(b\,g-2\,c\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}+\frac{3\,c\,\left(b\,g-2\,c\,f\right)\,\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{6\,c^2\,f-3\,b\,c\,g}\right)\,\left(b\,g-2\,c\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\frac{8\,c\,g\,a^2+g\,a\,b^2-10\,c\,f\,a\,b+f\,b^3}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(b^2+5\,a\,c\right)\,\left(b\,g-2\,c\,f\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,c^2\,x^3\,\left(b\,g-2\,c\,f\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{9\,b\,c\,x^2\,\left(b\,g-2\,c\,f\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(6*c*atan((((6*c^2*x*(b*g - 2*c*f))/(4*a*c - b^2)^(5/2) + (3*c*(b*g - 2*c*f)*(b^5 + 16*a^2*b*c^2 - 8*a*b^3*c))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*c^2*f - 3*b*c*g))*(b*g - 2*c*f))/(4*a*c - b^2)^(5/2) - ((b^3*f + a*b^2*g + 8*a^2*c*g - 10*a*b*c*f)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(5*a*c + b^2)*(b*g - 2*c*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*c^2*x^3*(b*g - 2*c*f))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (9*b*c*x^2*(b*g - 2*c*f))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
2376,1,25467,666,8.101785,"\text{Not used}","int((f + g*x)/((d + e*x)*(a + b*x + c*x^2)^3),x)","\frac{\frac{10\,g\,a^3\,b\,c\,e^3-24\,g\,a^3\,c^2\,d\,e^2+24\,f\,a^3\,c^2\,e^3-g\,a^2\,b^3\,e^3+g\,a^2\,b^2\,c\,d\,e^2-21\,f\,a^2\,b^2\,c\,e^3+10\,g\,a^2\,b\,c^2\,d^2\,e+10\,f\,a^2\,b\,c^2\,d\,e^2-8\,g\,a^2\,c^3\,d^3+8\,f\,a^2\,c^3\,d^2\,e-g\,a\,b^4\,d\,e^2+3\,f\,a\,b^4\,e^3+2\,g\,a\,b^3\,c\,d^2\,e+6\,f\,a\,b^3\,c\,d\,e^2-g\,a\,b^2\,c^2\,d^3-19\,f\,a\,b^2\,c^2\,d^2\,e+10\,f\,a\,b\,c^3\,d^3-f\,b^5\,d\,e^2+2\,f\,b^4\,c\,d^2\,e-f\,b^3\,c^2\,d^3}{2\,\left(16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}+\frac{x^2\,\left(18\,g\,a^2\,b\,c^2\,e^3-16\,g\,a^2\,c^3\,d\,e^2+16\,f\,a^2\,c^3\,e^3-7\,g\,a\,b^2\,c^2\,d\,e^2-29\,f\,a\,b^2\,c^2\,e^3-6\,g\,a\,b\,c^3\,d^2\,e+42\,f\,a\,b\,c^3\,d\,e^2-4\,g\,b^4\,c\,d\,e^2+4\,f\,b^4\,c\,e^3+15\,g\,b^3\,c^2\,d^2\,e+3\,f\,b^3\,c^2\,d\,e^2-9\,g\,b^2\,c^3\,d^3-27\,f\,b^2\,c^3\,d^2\,e+18\,f\,b\,c^4\,d^3\right)}{2\,\left(16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4\right)}+\frac{x^3\,\left(6\,g\,a^2\,c^3\,e^3-5\,g\,a\,b\,c^3\,d\,e^2-7\,f\,a\,b\,c^3\,e^3-2\,g\,a\,c^4\,d^2\,e+14\,f\,a\,c^4\,d\,e^2-g\,b^3\,c^2\,d\,e^2+f\,b^3\,c^2\,e^3+5\,g\,b^2\,c^3\,d^2\,e+f\,b^2\,c^3\,d\,e^2-3\,g\,b\,c^4\,d^3-9\,f\,b\,c^4\,d^2\,e+6\,f\,c^5\,d^3\right)}{16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}+\frac{x\,\left(10\,g\,a^3\,c^2\,e^3+2\,g\,a^2\,b^2\,c\,e^3-19\,g\,a^2\,b\,c^2\,d\,e^2-f\,a^2\,b\,c^2\,e^3+2\,g\,a^2\,c^3\,d^2\,e+18\,f\,a^2\,c^3\,d\,e^2+2\,g\,a\,b^3\,c\,d\,e^2-6\,f\,a\,b^3\,c\,e^3+5\,g\,a\,b^2\,c^2\,d^2\,e+9\,f\,a\,b^2\,c^2\,d\,e^2-5\,g\,a\,b\,c^3\,d^3-15\,f\,a\,b\,c^3\,d^2\,e+10\,f\,a\,c^4\,d^3-g\,b^5\,d\,e^2+f\,b^5\,e^3+2\,g\,b^4\,c\,d^2\,e-g\,b^3\,c^2\,d^3-3\,f\,b^3\,c^2\,d^2\,e+2\,f\,b^2\,c^3\,d^3\right)}{16\,a^4\,c^2\,e^4-8\,a^3\,b^2\,c\,e^4-32\,a^3\,b\,c^2\,d\,e^3+32\,a^3\,c^3\,d^2\,e^2+a^2\,b^4\,e^4+16\,a^2\,b^3\,c\,d\,e^3-32\,a^2\,b\,c^3\,d^3\,e+16\,a^2\,c^4\,d^4-2\,a\,b^5\,d\,e^3-6\,a\,b^4\,c\,d^2\,e^2+16\,a\,b^3\,c^2\,d^3\,e-8\,a\,b^2\,c^3\,d^4+b^6\,d^2\,e^2-2\,b^5\,c\,d^3\,e+b^4\,c^2\,d^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\left(\sum 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used",1,"((24*a^3*c^2*e^3*f - 8*a^2*c^3*d^3*g - a^2*b^3*e^3*g - b^3*c^2*d^3*f + 3*a*b^4*e^3*f - b^5*d*e^2*f + 10*a*b*c^3*d^3*f + 10*a^3*b*c*e^3*g - a*b^4*d*e^2*g + 2*b^4*c*d^2*e*f - a*b^2*c^2*d^3*g - 21*a^2*b^2*c*e^3*f + 8*a^2*c^3*d^2*e*f - 24*a^3*c^2*d*e^2*g + 6*a*b^3*c*d*e^2*f + 2*a*b^3*c*d^2*e*g - 19*a*b^2*c^2*d^2*e*f + 10*a^2*b*c^2*d*e^2*f + 10*a^2*b*c^2*d^2*e*g + a^2*b^2*c*d*e^2*g)/(2*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)) + (x^2*(16*a^2*c^3*e^3*f - 9*b^2*c^3*d^3*g + 18*b*c^4*d^3*f + 4*b^4*c*e^3*f - 4*b^4*c*d*e^2*g - 29*a*b^2*c^2*e^3*f + 18*a^2*b*c^2*e^3*g - 16*a^2*c^3*d*e^2*g - 27*b^2*c^3*d^2*e*f + 3*b^3*c^2*d*e^2*f + 15*b^3*c^2*d^2*e*g + 42*a*b*c^3*d*e^2*f - 6*a*b*c^3*d^2*e*g - 7*a*b^2*c^2*d*e^2*g))/(2*(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)) + (x^3*(6*c^5*d^3*f + 6*a^2*c^3*e^3*g + b^3*c^2*e^3*f - 3*b*c^4*d^3*g - 7*a*b*c^3*e^3*f + 14*a*c^4*d*e^2*f - 2*a*c^4*d^2*e*g - 9*b*c^4*d^2*e*f + b^2*c^3*d*e^2*f + 5*b^2*c^3*d^2*e*g - b^3*c^2*d*e^2*g - 5*a*b*c^3*d*e^2*g))/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3) + (x*(b^5*e^3*f + 2*b^2*c^3*d^3*f + 10*a^3*c^2*e^3*g - b^3*c^2*d^3*g + 10*a*c^4*d^3*f - b^5*d*e^2*g - 5*a*b*c^3*d^3*g - 6*a*b^3*c*e^3*f + 2*b^4*c*d^2*e*g - a^2*b*c^2*e^3*f + 2*a^2*b^2*c*e^3*g + 18*a^2*c^3*d*e^2*f + 2*a^2*c^3*d^2*e*g - 3*b^3*c^2*d^2*e*f - 15*a*b*c^3*d^2*e*f + 2*a*b^3*c*d*e^2*g + 9*a*b^2*c^2*d*e^2*f + 5*a*b^2*c^2*d^2*e*g - 19*a^2*b*c^2*d*e^2*g))/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + symsum(log(root(61440*a^8*b*c^7*d^5*e^7*z^3 + 61440*a^7*b*c^8*d^7*e^5*z^3 + 30720*a^9*b*c^6*d^3*e^9*z^3 + 30720*a^6*b*c^9*d^9*e^3*z^3 - 7680*a^9*b^3*c^4*d*e^11*z^3 - 7680*a^4*b^3*c^9*d^11*e*z^3 + 3840*a^8*b^5*c^3*d*e^11*z^3 + 3840*a^3*b^5*c^8*d^11*e*z^3 - 960*a^7*b^7*c^2*d*e^11*z^3 - 960*a^2*b^7*c^7*d^11*e*z^3 + 370*a^4*b^11*c*d^3*e^9*z^3 + 370*a*b^11*c^4*d^9*e^3*z^3 - 294*a^5*b^10*c*d^2*e^10*z^3 - 294*a*b^10*c^5*d^10*e^2*z^3 - 240*a^3*b^12*c*d^4*e^8*z^3 - 240*a*b^12*c^3*d^8*e^4*z^3 + 60*a^2*b^13*c*d^5*e^7*z^3 + 60*a*b^13*c^2*d^7*e^5*z^3 + 6144*a^10*b*c^5*d*e^11*z^3 + 6144*a^5*b*c^10*d^11*e*z^3 + 120*a^6*b^9*c*d*e^11*z^3 + 120*a*b^9*c^6*d^11*e*z^3 + 10*a*b^14*c*d^6*e^6*z^3 + 71680*a^6*b^4*c^6*d^6*e^6*z^3 - 66560*a^7*b^2*c^7*d^6*e^6*z^3 + 51840*a^7*b^4*c^5*d^4*e^8*z^3 + 51840*a^5*b^4*c^7*d^8*e^4*z^3 - 42240*a^8*b^2*c^6*d^4*e^8*z^3 - 42240*a^6*b^2*c^8*d^8*e^4*z^3 - 32256*a^6*b^5*c^5*d^5*e^7*z^3 - 32256*a^5*b^5*c^6*d^7*e^5*z^3 + 21120*a^5*b^7*c^4*d^5*e^7*z^3 + 21120*a^4*b^7*c^5*d^7*e^5*z^3 - 17920*a^8*b^3*c^5*d^3*e^9*z^3 - 17920*a^5*b^3*c^8*d^9*e^3*z^3 - 17024*a^5*b^6*c^5*d^6*e^6*z^3 - 16800*a^6*b^6*c^4*d^4*e^8*z^3 - 16800*a^4*b^6*c^6*d^8*e^4*z^3 + 15360*a^8*b^4*c^4*d^2*e^10*z^3 - 15360*a^7*b^3*c^6*d^5*e^7*z^3 - 15360*a^6*b^3*c^7*d^7*e^5*z^3 + 15360*a^4*b^4*c^8*d^10*e^2*z^3 - 8640*a^7*b^6*c^3*d^2*e^10*z^3 - 8640*a^3*b^6*c^7*d^10*e^2*z^3 + 8000*a^6*b^7*c^3*d^3*e^9*z^3 + 8000*a^3*b^7*c^6*d^9*e^3*z^3 - 7680*a^9*b^2*c^5*d^2*e^10*z^3 - 7680*a^5*b^2*c^9*d^10*e^2*z^3 - 6400*a^7*b^5*c^4*d^3*e^9*z^3 - 6400*a^4*b^5*c^7*d^9*e^3*z^3 - 4560*a^4*b^9*c^3*d^5*e^7*z^3 - 4560*a^3*b^9*c^4*d^7*e^5*z^3 - 3920*a^4*b^8*c^4*d^6*e^6*z^3 - 2600*a^5*b^9*c^2*d^3*e^9*z^3 - 2600*a^2*b^9*c^5*d^9*e^3*z^3 + 2380*a^3*b^10*c^3*d^6*e^6*z^3 + 2280*a^6*b^8*c^2*d^2*e^10*z^3 + 2280*a^2*b^8*c^6*d^10*e^2*z^3 + 1215*a^4*b^10*c^2*d^4*e^8*z^3 + 1215*a^2*b^10*c^4*d^8*e^4*z^3 - 350*a^2*b^12*c^2*d^6*e^6*z^3 - 300*a^5*b^8*c^3*d^4*e^8*z^3 - 300*a^3*b^8*c^5*d^8*e^4*z^3 + 180*a^3*b^11*c^2*d^5*e^7*z^3 + 180*a^2*b^11*c^3*d^7*e^5*z^3 - 6*b^15*c*d^7*e^5*z^3 - 6*b^11*c^5*d^11*e*z^3 - 6*a^5*b^11*d*e^11*z^3 - 6*a*b^15*d^5*e^7*z^3 - 20*a^7*b^8*c*e^12*z^3 - 20*a*b^8*c^7*d^12*z^3 - 20*b^13*c^3*d^9*e^3*z^3 + 15*b^14*c^2*d^8*e^4*z^3 + 15*b^12*c^4*d^10*e^2*z^3 - 20480*a^8*c^8*d^6*e^6*z^3 - 15360*a^9*c^7*d^4*e^8*z^3 - 15360*a^7*c^9*d^8*e^4*z^3 - 6144*a^10*c^6*d^2*e^10*z^3 - 6144*a^6*c^10*d^10*e^2*z^3 - 20*a^3*b^13*d^3*e^9*z^3 + 15*a^4*b^12*d^2*e^10*z^3 + 15*a^2*b^14*d^4*e^8*z^3 + 1280*a^10*b^2*c^4*e^12*z^3 - 640*a^9*b^4*c^3*e^12*z^3 + 160*a^8*b^6*c^2*e^12*z^3 + 1280*a^4*b^2*c^10*d^12*z^3 - 640*a^3*b^4*c^9*d^12*z^3 + 160*a^2*b^6*c^8*d^12*z^3 - 1024*a^11*c^5*e^12*z^3 - 1024*a^5*c^11*d^12*z^3 + b^16*d^6*e^6*z^3 + b^10*c^6*d^12*z^3 + a^6*b^10*e^12*z^3 + 132*a*b*c^8*d^8*e^2*f*g*z + 1960*a^2*b^3*c^5*d^4*e^6*f*g*z - 1560*a^3*b^2*c^5*d^3*e^7*f*g*z - 1500*a^2*b^2*c^6*d^5*e^5*f*g*z + 960*a^3*b^3*c^4*d^2*e^8*f*g*z - 420*a^2*b^4*c^4*d^3*e^7*f*g*z - 222*a^2*b^5*c^3*d^2*e^8*f*g*z - 40*a*b^8*c*d*e^9*f*g*z + 1830*a^4*b^2*c^4*d*e^9*f*g*z + 1440*a*b^3*c^6*d^6*e^4*f*g*z - 1080*a^3*b^4*c^3*d*e^9*f*g*z - 856*a*b^2*c^7*d^7*e^3*f*g*z - 840*a*b^4*c^5*d^5*e^5*f*g*z + 302*a^2*b^6*c^2*d*e^9*f*g*z + 180*a^4*b*c^5*d^2*e^8*f*g*z - 120*a^3*b*c^6*d^4*e^6*f*g*z + 84*a*b^6*c^3*d^3*e^7*f*g*z - 24*a^2*b*c^7*d^6*e^4*f*g*z + 18*a*b^7*c^2*d^2*e^8*f*g*z - 2*a*b^5*c^4*d^4*e^6*f*g*z + 24*a*c^9*d^9*e*f*g*z + 372*b^3*c^7*d^8*e^2*f*g*z - 340*b^4*c^6*d^7*e^3*f*g*z + 114*b^5*c^5*d^6*e^4*f*g*z + 12*b^6*c^4*d^5*e^5*f*g*z - 6*b^8*c^2*d^3*e^7*f*g*z - 2*b^7*c^3*d^4*e^6*f*g*z + 528*a^3*c^7*d^5*e^5*f*g*z + 480*a^4*c^6*d^3*e^7*f*g*z + 224*a^2*c^8*d^7*e^3*f*g*z - 60*a^4*b^3*c^3*e^10*f*g*z + 6*a^3*b^5*c^2*e^10*f*g*z + 36*a^5*b*c^4*d*e^9*g^2*z + 20*a*b^8*c*d^2*e^8*g^2*z + 960*a*b*c^8*d^7*e^3*f^2*z + 900*a^4*b*c^5*d*e^9*f^2*z - 1185*a^4*b^2*c^4*d^2*e^8*g^2*z + 450*a^3*b^4*c^3*d^2*e^8*g^2*z - 420*a^2*b^4*c^4*d^4*e^6*g^2*z + 300*a^3*b^2*c^5*d^4*e^6*g^2*z + 210*a^2*b^2*c^6*d^6*e^4*g^2*z + 192*a^2*b^5*c^3*d^3*e^7*g^2*z - 142*a^2*b^6*c^2*d^2*e^8*g^2*z + 100*a^2*b^3*c^5*d^5*e^5*g^2*z + 60*a^3*b^3*c^4*d^3*e^7*g^2*z - 1950*a^2*b^2*c^6*d^4*e^6*f^2*z - 900*a^3*b^2*c^5*d^2*e^8*f^2*z + 300*a^2*b^4*c^4*d^2*e^8*f^2*z + 100*a^2*b^3*c^5*d^3*e^7*f^2*z - 186*b^2*c^8*d^9*e*f*g*z - 1896*a^5*c^5*d*e^9*f*g*z + 180*a^5*b*c^4*e^10*f*g*z - 12*a*b*c^8*d^9*e*g^2*z - 390*a*b^4*c^5*d^6*e^4*g^2*z + 298*a*b^5*c^4*d^5*e^5*g^2*z + 180*a*b^3*c^6*d^7*e^3*g^2*z - 120*a^3*b*c^6*d^5*e^5*g^2*z - 96*a^2*b*c^7*d^7*e^3*g^2*z + 60*a^4*b^3*c^3*d*e^9*g^2*z - 54*a*b^6*c^3*d^4*e^6*g^2*z - 18*a*b^7*c^2*d^3*e^7*g^2*z - 6*a^3*b^5*c^2*d*e^9*g^2*z - 4*a*b^2*c^7*d^8*e^2*g^2*z + 2400*a^3*b*c^6*d^3*e^7*f^2*z + 2280*a^2*b*c^7*d^5*e^5*f^2*z - 1300*a*b^2*c^7*d^6*e^4*f^2*z + 540*a*b^3*c^6*d^5*e^5*f^2*z - 300*a^3*b^3*c^4*d*e^9*f^2*z + 150*a*b^4*c^5*d^4*e^6*f^2*z - 80*a*b^5*c^4*d^3*e^7*f^2*z + 30*a^2*b^5*c^3*d*e^9*f^2*z - 30*a*b^6*c^3*d^2*e^8*f^2*z + 180*b*c^9*d^9*e*f^2*z + 20*a*b^8*c*e^10*f^2*z - 100*b^4*c^6*d^8*e^2*g^2*z + 96*b^5*c^5*d^7*e^3*g^2*z - 33*b^6*c^4*d^6*e^4*g^2*z - 8*b^7*c^3*d^5*e^5*g^2*z + 6*b^8*c^2*d^4*e^6*g^2*z + 912*a^5*c^5*d^2*e^8*g^2*z - 345*b^2*c^8*d^8*e^2*f^2*z + 300*b^3*c^7*d^7*e^3*f^2*z - 120*a^4*c^6*d^4*e^6*g^2*z - 100*b^4*c^6*d^6*e^4*f^2*z - 48*a^3*c^7*d^6*e^4*g^2*z - 15*b^6*c^4*d^4*e^6*f^2*z + 10*b^7*c^3*d^3*e^7*f^2*z + 6*b^5*c^5*d^5*e^5*f^2*z - 4*a^2*c^8*d^8*e^2*g^2*z - 1200*a^3*c^7*d^4*e^6*f^2*z - 900*a^4*c^6*d^2*e^8*f^2*z - 760*a^2*c^8*d^6*e^4*f^2*z - 1185*a^4*b^2*c^4*e^10*f^2*z + 630*a^3*b^4*c^3*e^10*f^2*z - 160*a^2*b^6*c^2*e^10*f^2*z + 2*b^10*d*e^9*f*g*z + 36*b*c^9*d^10*f*g*z + 48*b^3*c^7*d^9*e*g^2*z - 240*a*c^9*d^8*e^2*f^2*z - b^10*d^2*e^8*g^2*z - 36*a^6*c^4*e^10*g^2*z - 9*b^2*c^8*d^10*g^2*z + 768*a^5*c^5*e^10*f^2*z - 36*c^10*d^10*f^2*z - b^10*e^10*f^2*z - 177*a*b^2*c^4*d^2*e^7*f*g^2 + 285*a*b^2*c^4*d*e^8*f^2*g + 252*a^2*b*c^4*d*e^8*f*g^2 - 120*a*b^3*c^3*d*e^8*f*g^2 + 108*a*b*c^5*d^3*e^6*f*g^2 + 36*a*b*c^5*d^2*e^7*f^2*g - 132*a*b*c^5*d*e^8*f^3 - 69*b^2*c^5*d^4*e^5*f*g^2 + 57*b^2*c^5*d^3*e^6*f^2*g - 45*b^3*c^4*d^2*e^7*f^2*g + 30*b^4*c^3*d^2*e^7*f*g^2 + 9*b^3*c^4*d^3*e^6*f*g^2 + 156*a^2*c^5*d^2*e^7*f*g^2 - 72*a^2*b*c^4*d^2*e^7*g^3 + 60*a*b^3*c^3*d^2*e^7*g^3 - 13*a*b^2*c^4*d^3*e^6*g^3 + 36*b*c^6*d^5*e^4*f*g^2 + 36*b*c^6*d^4*e^5*f^2*g - 30*b^4*c^3*d*e^8*f^2*g + 12*b^5*c^2*d*e^8*f*g^2 - 408*a^2*c^5*d*e^8*f^2*g - 156*a*c^6*d^3*e^6*f^2*g + 24*a*c^6*d^4*e^5*f*g^2 - 180*a^2*b*c^4*e^9*f^2*g + 60*a*b^3*c^3*e^9*f^2*g - 12*a*b*c^5*d^4*e^5*g^3 - 36*c^7*d^5*e^4*f^2*g - 6*b^5*c^2*e^9*f^2*g + 36*a^3*c^4*e^9*f*g^2 - 72*b*c^6*d^3*e^6*f^3 - 36*a^3*c^4*d*e^8*g^3 + 15*b^3*c^4*d*e^8*f^3 + 132*a*c^6*d^2*e^7*f^3 - 95*a*b^2*c^4*e^9*f^3 + 21*b^3*c^4*d^4*e^5*g^3 - 10*b^4*c^3*d^3*e^6*g^3 - 9*b^2*c^5*d^5*e^4*g^3 - 6*b^5*c^2*d^2*e^7*g^3 + 21*b^2*c^5*d^2*e^7*f^3 - 4*a^2*c^5*d^3*e^6*g^3 + 36*c^7*d^4*e^5*f^3 + 10*b^4*c^3*e^9*f^3 + 256*a^2*c^5*e^9*f^3, z, k)*((a^2*b^9*c*e^10*f - 96*a^7*c^5*e^10*g + 368*a^6*b*c^5*e^10*f + 96*a^2*c^10*d^9*e*f + 32*a^6*c^6*d*e^9*f + 6*b^4*c^8*d^9*e*f + b^11*c*d^2*e^8*f - 3*b^5*c^7*d^9*e*g - b^11*c*d^3*e^7*g - 17*a^3*b^7*c^2*e^10*f + 111*a^4*b^5*c^3*e^10*f - 328*a^5*b^3*c^4*e^10*f - 6*a^5*b^4*c^3*e^10*g + 48*a^6*b^2*c^4*e^10*g + 320*a^3*c^9*d^7*e^3*f + 384*a^4*c^8*d^5*e^5*f + 192*a^5*c^7*d^3*e^7*f - 32*a^3*c^9*d^8*e^2*g - 192*a^4*c^8*d^6*e^4*g - 384*a^5*c^7*d^4*e^6*g - 320*a^6*c^6*d^2*e^8*g - 21*b^5*c^7*d^8*e^2*f + 25*b^6*c^6*d^7*e^3*f - 10*b^7*c^5*d^6*e^4*f - b^10*c^2*d^3*e^7*f + 11*b^6*c^6*d^8*e^2*g - 14*b^7*c^5*d^7*e^3*g + 6*b^8*c^4*d^6*e^4*g + b^10*c^2*d^4*e^6*g + 168*a*b^3*c^8*d^8*e^2*f - 180*a*b^4*c^7*d^7*e^3*f + 36*a*b^5*c^6*d^6*e^4*f + 15*a*b^6*c^5*d^5*e^5*f + 11*a*b^7*c^4*d^4*e^6*f + 17*a*b^8*c^3*d^3*e^7*f - 17*a*b^9*c^2*d^2*e^8*f - 336*a^2*b*c^9*d^8*e^2*f + 35*a^2*b^8*c^2*d*e^9*f - 704*a^3*b*c^8*d^6*e^4*f - 239*a^3*b^6*c^3*d*e^9*f - 32*a^4*b*c^7*d^4*e^6*f + 746*a^4*b^4*c^4*d*e^9*f + 704*a^5*b*c^6*d^2*e^8*f - 896*a^5*b^2*c^5*d*e^9*f - 90*a*b^4*c^7*d^8*e^2*g + 108*a*b^5*c^6*d^7*e^3*g - 27*a*b^6*c^5*d^6*e^4*g - 11*a*b^7*c^4*d^5*e^5*g - 23*a*b^8*c^3*d^4*e^6*g + 17*a*b^9*c^2*d^3*e^7*g - 64*a^3*b*c^8*d^7*e^3*g + 17*a^3*b^7*c^2*d*e^9*g + 32*a^4*b*c^7*d^5*e^5*g - 87*a^4*b^5*c^3*d*e^9*g + 64*a^5*b*c^6*d^3*e^7*g + 136*a^5*b^3*c^4*d*e^9*g - 2*a*b^10*c*d*e^9*f + 240*a^2*b^2*c^8*d^7*e^3*f + 192*a^2*b^3*c^7*d^6*e^4*f - 96*a^2*b^4*c^6*d^5*e^5*f - 90*a^2*b^5*c^5*d^4*e^6*f - 153*a^2*b^6*c^4*d^3*e^7*f + 112*a^2*b^7*c^3*d^2*e^8*f + 48*a^3*b^2*c^7*d^5*e^5*f + 192*a^3*b^3*c^6*d^4*e^6*f + 676*a^3*b^4*c^5*d^3*e^7*f - 292*a^3*b^5*c^4*d^2*e^8*f - 1136*a^4*b^2*c^6*d^3*e^7*f + 32*a^4*b^3*c^5*d^2*e^8*f + 192*a^2*b^2*c^8*d^8*e^2*g - 192*a^2*b^3*c^7*d^7*e^3*g - 84*a^2*b^4*c^6*d^6*e^4*g + 90*a^2*b^5*c^5*d^5*e^5*g + 165*a^2*b^6*c^4*d^4*e^6*g - 88*a^2*b^7*c^3*d^3*e^7*g - 35*a^2*b^8*c^2*d^2*e^8*g + 432*a^3*b^2*c^7*d^6*e^4*g - 192*a^3*b^3*c^6*d^5*e^5*g - 496*a^3*b^4*c^5*d^4*e^6*g + 148*a^3*b^5*c^4*d^3*e^7*g + 203*a^3*b^6*c^3*d^2*e^8*g + 656*a^4*b^2*c^6*d^4*e^6*g - 32*a^4*b^3*c^5*d^3*e^7*g - 476*a^4*b^4*c^4*d^2*e^8*g + 464*a^5*b^2*c^5*d^2*e^8*g - 48*a*b^2*c^9*d^9*e*f + 24*a*b^3*c^8*d^9*e*g + 2*a*b^10*c*d^2*e^8*g - 48*a^2*b*c^9*d^9*e*g - a^2*b^9*c*d*e^9*g + 16*a^6*b*c^5*d*e^9*g)/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7) - root(61440*a^8*b*c^7*d^5*e^7*z^3 + 61440*a^7*b*c^8*d^7*e^5*z^3 + 30720*a^9*b*c^6*d^3*e^9*z^3 + 30720*a^6*b*c^9*d^9*e^3*z^3 - 7680*a^9*b^3*c^4*d*e^11*z^3 - 7680*a^4*b^3*c^9*d^11*e*z^3 + 3840*a^8*b^5*c^3*d*e^11*z^3 + 3840*a^3*b^5*c^8*d^11*e*z^3 - 960*a^7*b^7*c^2*d*e^11*z^3 - 960*a^2*b^7*c^7*d^11*e*z^3 + 370*a^4*b^11*c*d^3*e^9*z^3 + 370*a*b^11*c^4*d^9*e^3*z^3 - 294*a^5*b^10*c*d^2*e^10*z^3 - 294*a*b^10*c^5*d^10*e^2*z^3 - 240*a^3*b^12*c*d^4*e^8*z^3 - 240*a*b^12*c^3*d^8*e^4*z^3 + 60*a^2*b^13*c*d^5*e^7*z^3 + 60*a*b^13*c^2*d^7*e^5*z^3 + 6144*a^10*b*c^5*d*e^11*z^3 + 6144*a^5*b*c^10*d^11*e*z^3 + 120*a^6*b^9*c*d*e^11*z^3 + 120*a*b^9*c^6*d^11*e*z^3 + 10*a*b^14*c*d^6*e^6*z^3 + 71680*a^6*b^4*c^6*d^6*e^6*z^3 - 66560*a^7*b^2*c^7*d^6*e^6*z^3 + 51840*a^7*b^4*c^5*d^4*e^8*z^3 + 51840*a^5*b^4*c^7*d^8*e^4*z^3 - 42240*a^8*b^2*c^6*d^4*e^8*z^3 - 42240*a^6*b^2*c^8*d^8*e^4*z^3 - 32256*a^6*b^5*c^5*d^5*e^7*z^3 - 32256*a^5*b^5*c^6*d^7*e^5*z^3 + 21120*a^5*b^7*c^4*d^5*e^7*z^3 + 21120*a^4*b^7*c^5*d^7*e^5*z^3 - 17920*a^8*b^3*c^5*d^3*e^9*z^3 - 17920*a^5*b^3*c^8*d^9*e^3*z^3 - 17024*a^5*b^6*c^5*d^6*e^6*z^3 - 16800*a^6*b^6*c^4*d^4*e^8*z^3 - 16800*a^4*b^6*c^6*d^8*e^4*z^3 + 15360*a^8*b^4*c^4*d^2*e^10*z^3 - 15360*a^7*b^3*c^6*d^5*e^7*z^3 - 15360*a^6*b^3*c^7*d^7*e^5*z^3 + 15360*a^4*b^4*c^8*d^10*e^2*z^3 - 8640*a^7*b^6*c^3*d^2*e^10*z^3 - 8640*a^3*b^6*c^7*d^10*e^2*z^3 + 8000*a^6*b^7*c^3*d^3*e^9*z^3 + 8000*a^3*b^7*c^6*d^9*e^3*z^3 - 7680*a^9*b^2*c^5*d^2*e^10*z^3 - 7680*a^5*b^2*c^9*d^10*e^2*z^3 - 6400*a^7*b^5*c^4*d^3*e^9*z^3 - 6400*a^4*b^5*c^7*d^9*e^3*z^3 - 4560*a^4*b^9*c^3*d^5*e^7*z^3 - 4560*a^3*b^9*c^4*d^7*e^5*z^3 - 3920*a^4*b^8*c^4*d^6*e^6*z^3 - 2600*a^5*b^9*c^2*d^3*e^9*z^3 - 2600*a^2*b^9*c^5*d^9*e^3*z^3 + 2380*a^3*b^10*c^3*d^6*e^6*z^3 + 2280*a^6*b^8*c^2*d^2*e^10*z^3 + 2280*a^2*b^8*c^6*d^10*e^2*z^3 + 1215*a^4*b^10*c^2*d^4*e^8*z^3 + 1215*a^2*b^10*c^4*d^8*e^4*z^3 - 350*a^2*b^12*c^2*d^6*e^6*z^3 - 300*a^5*b^8*c^3*d^4*e^8*z^3 - 300*a^3*b^8*c^5*d^8*e^4*z^3 + 180*a^3*b^11*c^2*d^5*e^7*z^3 + 180*a^2*b^11*c^3*d^7*e^5*z^3 - 6*b^15*c*d^7*e^5*z^3 - 6*b^11*c^5*d^11*e*z^3 - 6*a^5*b^11*d*e^11*z^3 - 6*a*b^15*d^5*e^7*z^3 - 20*a^7*b^8*c*e^12*z^3 - 20*a*b^8*c^7*d^12*z^3 - 20*b^13*c^3*d^9*e^3*z^3 + 15*b^14*c^2*d^8*e^4*z^3 + 15*b^12*c^4*d^10*e^2*z^3 - 20480*a^8*c^8*d^6*e^6*z^3 - 15360*a^9*c^7*d^4*e^8*z^3 - 15360*a^7*c^9*d^8*e^4*z^3 - 6144*a^10*c^6*d^2*e^10*z^3 - 6144*a^6*c^10*d^10*e^2*z^3 - 20*a^3*b^13*d^3*e^9*z^3 + 15*a^4*b^12*d^2*e^10*z^3 + 15*a^2*b^14*d^4*e^8*z^3 + 1280*a^10*b^2*c^4*e^12*z^3 - 640*a^9*b^4*c^3*e^12*z^3 + 160*a^8*b^6*c^2*e^12*z^3 + 1280*a^4*b^2*c^10*d^12*z^3 - 640*a^3*b^4*c^9*d^12*z^3 + 160*a^2*b^6*c^8*d^12*z^3 - 1024*a^11*c^5*e^12*z^3 - 1024*a^5*c^11*d^12*z^3 + b^16*d^6*e^6*z^3 + b^10*c^6*d^12*z^3 + a^6*b^10*e^12*z^3 + 132*a*b*c^8*d^8*e^2*f*g*z + 1960*a^2*b^3*c^5*d^4*e^6*f*g*z - 1560*a^3*b^2*c^5*d^3*e^7*f*g*z - 1500*a^2*b^2*c^6*d^5*e^5*f*g*z + 960*a^3*b^3*c^4*d^2*e^8*f*g*z - 420*a^2*b^4*c^4*d^3*e^7*f*g*z - 222*a^2*b^5*c^3*d^2*e^8*f*g*z - 40*a*b^8*c*d*e^9*f*g*z + 1830*a^4*b^2*c^4*d*e^9*f*g*z + 1440*a*b^3*c^6*d^6*e^4*f*g*z - 1080*a^3*b^4*c^3*d*e^9*f*g*z - 856*a*b^2*c^7*d^7*e^3*f*g*z - 840*a*b^4*c^5*d^5*e^5*f*g*z + 302*a^2*b^6*c^2*d*e^9*f*g*z + 180*a^4*b*c^5*d^2*e^8*f*g*z - 120*a^3*b*c^6*d^4*e^6*f*g*z + 84*a*b^6*c^3*d^3*e^7*f*g*z - 24*a^2*b*c^7*d^6*e^4*f*g*z + 18*a*b^7*c^2*d^2*e^8*f*g*z - 2*a*b^5*c^4*d^4*e^6*f*g*z + 24*a*c^9*d^9*e*f*g*z + 372*b^3*c^7*d^8*e^2*f*g*z - 340*b^4*c^6*d^7*e^3*f*g*z + 114*b^5*c^5*d^6*e^4*f*g*z + 12*b^6*c^4*d^5*e^5*f*g*z - 6*b^8*c^2*d^3*e^7*f*g*z - 2*b^7*c^3*d^4*e^6*f*g*z + 528*a^3*c^7*d^5*e^5*f*g*z + 480*a^4*c^6*d^3*e^7*f*g*z + 224*a^2*c^8*d^7*e^3*f*g*z - 60*a^4*b^3*c^3*e^10*f*g*z + 6*a^3*b^5*c^2*e^10*f*g*z + 36*a^5*b*c^4*d*e^9*g^2*z + 20*a*b^8*c*d^2*e^8*g^2*z + 960*a*b*c^8*d^7*e^3*f^2*z + 900*a^4*b*c^5*d*e^9*f^2*z - 1185*a^4*b^2*c^4*d^2*e^8*g^2*z + 450*a^3*b^4*c^3*d^2*e^8*g^2*z - 420*a^2*b^4*c^4*d^4*e^6*g^2*z + 300*a^3*b^2*c^5*d^4*e^6*g^2*z + 210*a^2*b^2*c^6*d^6*e^4*g^2*z + 192*a^2*b^5*c^3*d^3*e^7*g^2*z - 142*a^2*b^6*c^2*d^2*e^8*g^2*z + 100*a^2*b^3*c^5*d^5*e^5*g^2*z + 60*a^3*b^3*c^4*d^3*e^7*g^2*z - 1950*a^2*b^2*c^6*d^4*e^6*f^2*z - 900*a^3*b^2*c^5*d^2*e^8*f^2*z + 300*a^2*b^4*c^4*d^2*e^8*f^2*z + 100*a^2*b^3*c^5*d^3*e^7*f^2*z - 186*b^2*c^8*d^9*e*f*g*z - 1896*a^5*c^5*d*e^9*f*g*z + 180*a^5*b*c^4*e^10*f*g*z - 12*a*b*c^8*d^9*e*g^2*z - 390*a*b^4*c^5*d^6*e^4*g^2*z + 298*a*b^5*c^4*d^5*e^5*g^2*z + 180*a*b^3*c^6*d^7*e^3*g^2*z - 120*a^3*b*c^6*d^5*e^5*g^2*z - 96*a^2*b*c^7*d^7*e^3*g^2*z + 60*a^4*b^3*c^3*d*e^9*g^2*z - 54*a*b^6*c^3*d^4*e^6*g^2*z - 18*a*b^7*c^2*d^3*e^7*g^2*z - 6*a^3*b^5*c^2*d*e^9*g^2*z - 4*a*b^2*c^7*d^8*e^2*g^2*z + 2400*a^3*b*c^6*d^3*e^7*f^2*z + 2280*a^2*b*c^7*d^5*e^5*f^2*z - 1300*a*b^2*c^7*d^6*e^4*f^2*z + 540*a*b^3*c^6*d^5*e^5*f^2*z - 300*a^3*b^3*c^4*d*e^9*f^2*z + 150*a*b^4*c^5*d^4*e^6*f^2*z - 80*a*b^5*c^4*d^3*e^7*f^2*z + 30*a^2*b^5*c^3*d*e^9*f^2*z - 30*a*b^6*c^3*d^2*e^8*f^2*z + 180*b*c^9*d^9*e*f^2*z + 20*a*b^8*c*e^10*f^2*z - 100*b^4*c^6*d^8*e^2*g^2*z + 96*b^5*c^5*d^7*e^3*g^2*z - 33*b^6*c^4*d^6*e^4*g^2*z - 8*b^7*c^3*d^5*e^5*g^2*z + 6*b^8*c^2*d^4*e^6*g^2*z + 912*a^5*c^5*d^2*e^8*g^2*z - 345*b^2*c^8*d^8*e^2*f^2*z + 300*b^3*c^7*d^7*e^3*f^2*z - 120*a^4*c^6*d^4*e^6*g^2*z - 100*b^4*c^6*d^6*e^4*f^2*z - 48*a^3*c^7*d^6*e^4*g^2*z - 15*b^6*c^4*d^4*e^6*f^2*z + 10*b^7*c^3*d^3*e^7*f^2*z + 6*b^5*c^5*d^5*e^5*f^2*z - 4*a^2*c^8*d^8*e^2*g^2*z - 1200*a^3*c^7*d^4*e^6*f^2*z - 900*a^4*c^6*d^2*e^8*f^2*z - 760*a^2*c^8*d^6*e^4*f^2*z - 1185*a^4*b^2*c^4*e^10*f^2*z + 630*a^3*b^4*c^3*e^10*f^2*z - 160*a^2*b^6*c^2*e^10*f^2*z + 2*b^10*d*e^9*f*g*z + 36*b*c^9*d^10*f*g*z + 48*b^3*c^7*d^9*e*g^2*z - 240*a*c^9*d^8*e^2*f^2*z - b^10*d^2*e^8*g^2*z - 36*a^6*c^4*e^10*g^2*z - 9*b^2*c^8*d^10*g^2*z + 768*a^5*c^5*e^10*f^2*z - 36*c^10*d^10*f^2*z - b^10*e^10*f^2*z - 177*a*b^2*c^4*d^2*e^7*f*g^2 + 285*a*b^2*c^4*d*e^8*f^2*g + 252*a^2*b*c^4*d*e^8*f*g^2 - 120*a*b^3*c^3*d*e^8*f*g^2 + 108*a*b*c^5*d^3*e^6*f*g^2 + 36*a*b*c^5*d^2*e^7*f^2*g - 132*a*b*c^5*d*e^8*f^3 - 69*b^2*c^5*d^4*e^5*f*g^2 + 57*b^2*c^5*d^3*e^6*f^2*g - 45*b^3*c^4*d^2*e^7*f^2*g + 30*b^4*c^3*d^2*e^7*f*g^2 + 9*b^3*c^4*d^3*e^6*f*g^2 + 156*a^2*c^5*d^2*e^7*f*g^2 - 72*a^2*b*c^4*d^2*e^7*g^3 + 60*a*b^3*c^3*d^2*e^7*g^3 - 13*a*b^2*c^4*d^3*e^6*g^3 + 36*b*c^6*d^5*e^4*f*g^2 + 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400*a^2*b^7*c^6*d^8*e^3 + 1120*a^2*b^8*c^5*d^7*e^4 - 790*a^2*b^9*c^4*d^6*e^5 + 46*a^2*b^10*c^3*d^5*e^6 + 86*a^2*b^11*c^2*d^4*e^7 + 3040*a^3*b^5*c^7*d^8*e^3 - 5760*a^3*b^6*c^6*d^7*e^4 + 2720*a^3*b^7*c^5*d^6*e^5 + 1136*a^3*b^8*c^4*d^5*e^6 - 790*a^3*b^9*c^3*d^4*e^7 - 92*a^3*b^10*c^2*d^3*e^8 + 1280*a^4*b^2*c^9*d^9*e^2 - 8960*a^4*b^3*c^8*d^8*e^3 + 12800*a^4*b^4*c^7*d^7*e^4 - 320*a^4*b^5*c^6*d^6*e^5 - 8896*a^4*b^6*c^5*d^5*e^6 + 2720*a^4*b^7*c^4*d^4*e^7 + 1120*a^4*b^8*c^3*d^3*e^8 + 5*a^4*b^9*c^2*d^2*e^9 - 7168*a^5*b^2*c^8*d^7*e^4 - 17408*a^5*b^3*c^7*d^6*e^5 + 23552*a^5*b^4*c^6*d^5*e^6 - 320*a^5*b^5*c^5*d^4*e^7 - 5760*a^5*b^6*c^4*d^3*e^8 - 400*a^5*b^7*c^3*d^2*e^9 - 16896*a^6*b^2*c^7*d^5*e^6 - 17408*a^6*b^3*c^6*d^4*e^7 + 12800*a^6*b^4*c^5*d^3*e^8 + 3040*a^6*b^5*c^4*d^2*e^9 - 7168*a^7*b^2*c^6*d^3*e^8 - 8960*a^7*b^3*c^5*d^2*e^9 - 16*a*b^7*c^7*d^10*e - 3*a*b^13*c*d^4*e^7 + 256*a^4*b*c^10*d^10*e - 3*a^4*b^10*c*d*e^10 + 40*a*b^8*c^6*d^9*e^2 + 5*a*b^9*c^5*d^8*e^3 - 92*a*b^10*c^4*d^7*e^4 + 86*a*b^11*c^3*d^6*e^5 - 20*a*b^12*c^2*d^5*e^6 + 96*a^2*b^5*c^8*d^10*e + 2*a^2*b^12*c*d^3*e^8 - 256*a^3*b^3*c^9*d^10*e + 2*a^3*b^11*c*d^2*e^9 + 9472*a^5*b*c^9*d^8*e^3 + 40*a^5*b^8*c^2*d*e^10 + 27136*a^6*b*c^8*d^6*e^5 - 160*a^6*b^6*c^3*d*e^10 + 27136*a^7*b*c^7*d^4*e^7 + 9472*a^8*b*c^6*d^2*e^9 + 1280*a^8*b^2*c^5*d*e^10)/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7) - (x*(1536*a^9*c^6*e^11 - 2*a^4*b^10*c*e^11 - 512*a^4*c^11*d^10*e - 2*b^8*c^7*d^10*e - 2*b^14*c*d^4*e^7 + 38*a^5*b^8*c^2*e^11 - 288*a^6*b^6*c^3*e^11 + 1088*a^7*b^4*c^4*e^11 - 2048*a^8*b^2*c^5*e^11 - 512*a^5*c^10*d^8*e^3 + 3072*a^6*c^9*d^6*e^5 + 7168*a^7*c^8*d^4*e^7 + 5632*a^8*c^7*d^2*e^9 + 10*b^9*c^6*d^9*e^2 - 22*b^10*c^5*d^8*e^3 + 28*b^11*c^4*d^7*e^4 - 22*b^12*c^3*d^6*e^5 + 10*b^13*c^2*d^5*e^6 + 960*a^2*b^5*c^8*d^9*e^2 - 2080*a^2*b^6*c^7*d^8*e^3 + 2560*a^2*b^7*c^6*d^7*e^4 - 1780*a^2*b^8*c^5*d^6*e^5 + 412*a^2*b^9*c^4*d^5*e^6 + 248*a^2*b^10*c^3*d^4*e^7 - 116*a^2*b^11*c^2*d^3*e^8 - 2560*a^3*b^3*c^9*d^9*e^2 + 5440*a^3*b^4*c^8*d^8*e^3 - 6400*a^3*b^5*c^7*d^7*e^4 + 3520*a^3*b^6*c^6*d^6*e^5 + 1088*a^3*b^7*c^5*d^5*e^6 - 2340*a^3*b^8*c^4*d^4*e^7 + 520*a^3*b^9*c^3*d^3*e^8 + 212*a^3*b^10*c^2*d^2*e^9 - 5120*a^4*b^2*c^9*d^8*e^3 + 5120*a^4*b^3*c^8*d^7*e^4 + 640*a^4*b^4*c^7*d^6*e^5 - 9088*a^4*b^5*c^6*d^5*e^6 + 8000*a^4*b^6*c^5*d^4*e^7 - 1450*a^4*b^8*c^3*d^2*e^9 - 8192*a^5*b^2*c^8*d^6*e^5 + 17408*a^5*b^3*c^7*d^5*e^6 - 10112*a^5*b^4*c^6*d^4*e^7 - 6400*a^5*b^5*c^5*d^3*e^8 + 4640*a^5*b^6*c^4*d^2*e^9 - 1024*a^6*b^2*c^7*d^4*e^7 + 17408*a^6*b^3*c^6*d^3*e^8 - 6080*a^6*b^4*c^5*d^2*e^9 - 512*a^7*b^2*c^6*d^2*e^9 + 32*a*b^6*c^8*d^10*e + 8*a*b^13*c*d^3*e^8 + 8*a^3*b^11*c*d*e^10 - 5632*a^8*b*c^6*d*e^10 - 160*a*b^7*c^7*d^9*e^2 + 350*a*b^8*c^6*d^8*e^3 - 440*a*b^9*c^5*d^7*e^4 + 332*a*b^10*c^4*d^6*e^5 - 128*a*b^11*c^3*d^5*e^6 + 6*a*b^12*c^2*d^4*e^7 - 192*a^2*b^4*c^9*d^10*e - 12*a^2*b^12*c*d^2*e^9 + 512*a^3*b^2*c^10*d^10*e + 2560*a^4*b*c^10*d^9*e^2 - 150*a^4*b^9*c^2*d*e^10 + 2048*a^5*b*c^9*d^7*e^4 + 1120*a^5*b^7*c^3*d*e^10 - 9216*a^6*b*c^8*d^5*e^6 - 4160*a^6*b^5*c^4*d*e^10 - 14336*a^7*b*c^7*d^3*e^8 + 7680*a^7*b^3*c^5*d*e^10))/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)) + (x*(768*a^6*c^6*e^10*f - 96*a^6*b*c^5*e^10*g - 576*a^6*c^6*d*e^9*g + 2*a^2*b^8*c^2*e^10*f - 33*a^3*b^6*c^3*e^10*f + 216*a^4*b^4*c^4*e^10*f - 656*a^5*b^2*c^5*e^10*f - 6*a^4*b^5*c^3*e^10*g + 48*a^5*b^3*c^4*e^10*g + 192*a^2*c^10*d^8*e^2*f + 832*a^3*c^9*d^6*e^4*f + 1856*a^4*c^8*d^4*e^6*f + 1984*a^5*c^7*d^2*e^8*f - 64*a^3*c^9*d^7*e^3*g - 704*a^4*c^8*d^5*e^5*g - 1216*a^5*c^7*d^3*e^7*g + 12*b^4*c^8*d^8*e^2*f - 48*b^5*c^7*d^7*e^3*f + 71*b^6*c^6*d^6*e^4*f - 45*b^7*c^5*d^5*e^5*f + 11*b^8*c^4*d^4*e^6*f - 3*b^9*c^3*d^3*e^7*f + 2*b^10*c^2*d^2*e^8*f - 6*b^5*c^7*d^8*e^2*g + 25*b^6*c^6*d^7*e^3*g - 39*b^7*c^5*d^6*e^4*g + 25*b^8*c^4*d^5*e^5*g - 3*b^9*c^3*d^4*e^6*g - 2*b^10*c^2*d^3*e^7*g - 96*a*b^2*c^9*d^8*e^2*f + 384*a*b^3*c^8*d^7*e^3*f - 516*a*b^4*c^7*d^6*e^4*f + 204*a*b^5*c^6*d^5*e^5*f + 49*a*b^6*c^5*d^4*e^6*f + 10*a*b^7*c^4*d^3*e^7*f - 31*a*b^8*c^3*d^2*e^8*f - 768*a^2*b*c^9*d^7*e^3*f + 67*a^2*b^7*c^3*d*e^9*f - 2496*a^3*b*c^8*d^5*e^5*f - 468*a^3*b^5*c^4*d*e^9*f - 3712*a^4*b*c^7*d^3*e^7*f + 1552*a^4*b^3*c^5*d*e^9*f + 48*a*b^3*c^8*d^8*e^2*g - 204*a*b^4*c^7*d^7*e^3*g + 300*a*b^5*c^6*d^6*e^4*g - 121*a*b^6*c^5*d^5*e^5*g - 82*a*b^7*c^4*d^4*e^6*g + 55*a*b^8*c^3*d^3*e^7*g + 4*a*b^9*c^2*d^2*e^8*g - 96*a^2*b*c^9*d^8*e^2*g - 2*a^2*b^8*c^2*d*e^9*g - 192*a^3*b*c^8*d^6*e^4*g + 57*a^3*b^6*c^3*d*e^9*g + 832*a^4*b*c^7*d^4*e^6*g - 396*a^4*b^4*c^4*d*e^9*g + 832*a^5*b*c^6*d^2*e^8*g + 944*a^5*b^2*c^5*d*e^9*g + 720*a^2*b^2*c^8*d^6*e^4*f + 528*a^2*b^3*c^7*d^5*e^5*f - 804*a^2*b^4*c^6*d^4*e^6*f - 168*a^2*b^5*c^5*d^3*e^7*f + 233*a^2*b^6*c^4*d^2*e^8*f + 1264*a^3*b^2*c^7*d^4*e^6*f + 1632*a^3*b^3*c^6*d^3*e^7*f - 764*a^3*b^4*c^5*d^2*e^8*f + 304*a^4*b^2*c^6*d^2*e^8*f + 432*a^2*b^2*c^8*d^7*e^3*g - 528*a^2*b^3*c^7*d^6*e^4*g - 276*a^2*b^4*c^6*d^5*e^5*g + 852*a^2*b^5*c^5*d^4*e^6*g - 281*a^2*b^6*c^4*d^3*e^7*g - 103*a^2*b^7*c^3*d^2*e^8*g + 1616*a^3*b^2*c^7*d^5*e^5*g - 2112*a^3*b^3*c^6*d^4*e^6*g + 44*a^3*b^4*c^5*d^3*e^7*g + 684*a^3*b^5*c^4*d^2*e^8*g + 1616*a^4*b^2*c^6*d^3*e^7*g - 1552*a^4*b^3*c^5*d^2*e^8*g - 4*a*b^9*c^2*d*e^9*f - 1984*a^5*b*c^6*d*e^9*f))/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7)) - (6*b^3*c^6*d^4*e^5*f^2 - 36*c^9*d^7*e^2*f^2 - 72*a^2*b^3*c^4*e^9*f^2 - 292*a^2*c^7*d^3*e^6*f^2 - 4*a^2*c^7*d^5*e^4*g^2 - 8*a^3*c^6*d^3*e^6*g^2 - 93*b^2*c^7*d^5*e^4*f^2 - b^7*c^2*e^9*f^2 + 11*b^4*c^5*d^3*e^6*f^2 + 7*b^5*c^4*d^2*e^7*f^2 - 9*b^2*c^7*d^7*e^2*g^2 + 30*b^3*c^6*d^6*e^3*g^2 - 31*b^4*c^5*d^5*e^4*g^2 + 7*b^5*c^4*d^4*e^5*g^2 + 4*b^6*c^3*d^3*e^6*g^2 - b^7*c^2*d^2*e^7*g^2 - 96*a^4*c^5*e^9*f*g + 15*a*b^5*c^3*e^9*f^2 + 112*a^3*b*c^5*e^9*f^2 - 168*a*c^8*d^5*e^4*f^2 - 224*a^3*c^6*d*e^8*f^2 + 108*b*c^8*d^6*e^3*f^2 + 60*a^4*c^5*d*e^8*g^2 - 2*b^6*c^3*d*e^8*f^2 + 336*a*b*c^7*d^4*e^5*f^2 + 8*a*b^4*c^4*d*e^8*f^2 - 12*a*b*c^7*d^6*e^3*g^2 - 6*a^2*b^4*c^3*e^9*f*g + 48*a^3*b^2*c^4*e^9*f*g + 80*a^2*c^7*d^4*e^5*f*g + 88*a^3*c^6*d^2*e^7*f*g - 114*b^2*c^7*d^6*e^3*f*g + 108*b^3*c^6*d^5*e^4*f*g - 16*b^4*c^5*d^4*e^5*f*g - 14*b^5*c^4*d^3*e^6*f*g - 2*b^6*c^3*d^2*e^7*f*g - 106*a*b^2*c^6*d^3*e^6*f^2 - 86*a*b^3*c^5*d^2*e^7*f^2 + 340*a^2*b*c^6*d^2*e^7*f^2 + 47*a^2*b^2*c^5*d*e^8*f^2 - 10*a*b^2*c^6*d^5*e^4*g^2 + 70*a*b^3*c^5*d^4*e^5*g^2 - 52*a*b^4*c^4*d^3*e^6*g^2 + 3*a*b^5*c^3*d^2*e^7*g^2 - 32*a^2*b*c^6*d^4*e^5*g^2 + 6*a^2*b^4*c^3*d*e^8*g^2 - 20*a^3*b*c^5*d^2*e^7*g^2 - 48*a^3*b^2*c^4*d*e^8*g^2 + 24*a*c^8*d^6*e^3*f*g + 36*b*c^8*d^7*e^2*f*g + 2*b^7*c^2*d*e^8*f*g + 11*a^2*b^2*c^5*d^3*e^6*g^2 + 36*a^2*b^3*c^4*d^2*e^7*g^2 + 108*a*b*c^7*d^5*e^4*f*g - 18*a*b^5*c^3*d*e^8*f*g + 52*a^3*b*c^5*d*e^8*f*g - 316*a*b^2*c^6*d^4*e^5*f*g + 160*a*b^3*c^5*d^3*e^6*f*g + 44*a*b^4*c^4*d^2*e^7*f*g + 124*a^2*b*c^6*d^3*e^6*f*g + 36*a^2*b^3*c^4*d*e^8*f*g - 274*a^2*b^2*c^5*d^2*e^7*f*g)/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7) + (x*(36*a^4*c^5*e^9*g^2 + b^6*c^3*e^9*f^2 + 36*c^9*d^6*e^3*f^2 + 49*a^2*b^2*c^5*e^9*f^2 + 196*a^2*c^7*d^2*e^7*f^2 + 4*a^2*c^7*d^4*e^5*g^2 - 24*a^3*c^6*d^2*e^7*g^2 + 93*b^2*c^7*d^4*e^5*f^2 - 6*b^3*c^6*d^3*e^6*f^2 - 17*b^4*c^5*d^2*e^7*f^2 + 9*b^2*c^7*d^6*e^3*g^2 - 30*b^3*c^6*d^5*e^4*g^2 + 31*b^4*c^5*d^4*e^5*g^2 - 10*b^5*c^4*d^3*e^6*g^2 + b^6*c^3*d^2*e^7*g^2 - 14*a*b^4*c^4*e^9*f^2 + 168*a*c^8*d^4*e^5*f^2 - 108*b*c^8*d^5*e^4*f^2 + 2*b^5*c^4*d*e^8*f^2 - 336*a*b*c^7*d^3*e^6*f^2 + 14*a*b^3*c^5*d*e^8*f^2 - 196*a^2*b*c^6*d*e^8*f^2 + 12*a*b*c^7*d^5*e^4*g^2 - 60*a^3*b*c^5*d*e^8*g^2 + 12*a^2*b^3*c^4*e^9*f*g + 16*a^2*c^7*d^3*e^6*f*g + 114*b^2*c^7*d^5*e^4*f*g - 108*b^3*c^6*d^4*e^5*f*g + 22*b^4*c^5*d^3*e^6*f*g + 8*b^5*c^4*d^2*e^7*f*g + 154*a*b^2*c^6*d^2*e^7*f^2 + 10*a*b^2*c^6*d^4*e^5*g^2 - 46*a*b^3*c^5*d^3*e^6*g^2 + 10*a*b^4*c^4*d^2*e^7*g^2 - 16*a^2*b*c^6*d^3*e^6*g^2 - 12*a^2*b^3*c^4*d*e^8*g^2 - 84*a^3*b*c^5*e^9*f*g - 24*a*c^8*d^5*e^4*f*g + 168*a^3*c^6*d*e^8*f*g - 36*b*c^8*d^6*e^3*f*g - 2*b^6*c^3*d*e^8*f*g + 85*a^2*b^2*c^5*d^2*e^7*g^2 - 108*a*b*c^7*d^4*e^5*f*g + 4*a*b^4*c^4*d*e^8*f*g + 268*a*b^2*c^6*d^3*e^6*f*g - 112*a*b^3*c^5*d^2*e^7*f*g - 220*a^2*b*c^6*d^2*e^7*f*g + 82*a^2*b^2*c^5*d*e^8*f*g))/(a^4*b^8*e^8 + 256*a^4*c^8*d^8 + 256*a^8*c^4*e^8 + b^8*c^4*d^8 + b^12*d^4*e^4 - 16*a*b^6*c^5*d^8 - 16*a^5*b^6*c*e^8 - 4*a*b^11*d^3*e^5 - 4*a^3*b^9*d*e^7 - 4*b^9*c^3*d^7*e - 4*b^11*c*d^5*e^3 + 96*a^2*b^4*c^6*d^8 - 256*a^3*b^2*c^7*d^8 + 96*a^6*b^4*c^2*e^8 - 256*a^7*b^2*c^3*e^8 + 6*a^2*b^10*d^2*e^6 + 1024*a^5*c^7*d^6*e^2 + 1536*a^6*c^6*d^4*e^4 + 1024*a^7*c^5*d^2*e^6 + 6*b^10*c^2*d^6*e^2 + 512*a^2*b^6*c^4*d^6*e^2 - 192*a^2*b^7*c^3*d^5*e^3 - 90*a^2*b^8*c^2*d^4*e^4 - 1152*a^3*b^4*c^5*d^6*e^2 - 128*a^3*b^5*c^4*d^5*e^3 + 800*a^3*b^6*c^3*d^4*e^4 - 192*a^3*b^7*c^2*d^3*e^5 + 512*a^4*b^2*c^6*d^6*e^2 + 2048*a^4*b^3*c^5*d^5*e^3 - 2240*a^4*b^4*c^4*d^4*e^4 - 128*a^4*b^5*c^3*d^3*e^5 + 512*a^4*b^6*c^2*d^2*e^6 + 1536*a^5*b^2*c^5*d^4*e^4 + 2048*a^5*b^3*c^4*d^3*e^5 - 1152*a^5*b^4*c^3*d^2*e^6 + 512*a^6*b^2*c^4*d^2*e^6 + 64*a*b^7*c^4*d^7*e - 4*a*b^10*c*d^4*e^4 - 1024*a^4*b*c^7*d^7*e + 64*a^4*b^7*c*d*e^7 - 1024*a^7*b*c^4*d*e^7 - 92*a*b^8*c^3*d^6*e^2 + 52*a*b^9*c^2*d^5*e^3 - 384*a^2*b^5*c^5*d^7*e + 52*a^2*b^9*c*d^3*e^5 + 1024*a^3*b^3*c^6*d^7*e - 92*a^3*b^8*c*d^2*e^6 - 3072*a^5*b*c^6*d^5*e^3 - 384*a^5*b^5*c^2*d*e^7 - 3072*a^6*b*c^5*d^3*e^5 + 1024*a^6*b^3*c^3*d*e^7))*root(61440*a^8*b*c^7*d^5*e^7*z^3 + 61440*a^7*b*c^8*d^7*e^5*z^3 + 30720*a^9*b*c^6*d^3*e^9*z^3 + 30720*a^6*b*c^9*d^9*e^3*z^3 - 7680*a^9*b^3*c^4*d*e^11*z^3 - 7680*a^4*b^3*c^9*d^11*e*z^3 + 3840*a^8*b^5*c^3*d*e^11*z^3 + 3840*a^3*b^5*c^8*d^11*e*z^3 - 960*a^7*b^7*c^2*d*e^11*z^3 - 960*a^2*b^7*c^7*d^11*e*z^3 + 370*a^4*b^11*c*d^3*e^9*z^3 + 370*a*b^11*c^4*d^9*e^3*z^3 - 294*a^5*b^10*c*d^2*e^10*z^3 - 294*a*b^10*c^5*d^10*e^2*z^3 - 240*a^3*b^12*c*d^4*e^8*z^3 - 240*a*b^12*c^3*d^8*e^4*z^3 + 60*a^2*b^13*c*d^5*e^7*z^3 + 60*a*b^13*c^2*d^7*e^5*z^3 + 6144*a^10*b*c^5*d*e^11*z^3 + 6144*a^5*b*c^10*d^11*e*z^3 + 120*a^6*b^9*c*d*e^11*z^3 + 120*a*b^9*c^6*d^11*e*z^3 + 10*a*b^14*c*d^6*e^6*z^3 + 71680*a^6*b^4*c^6*d^6*e^6*z^3 - 66560*a^7*b^2*c^7*d^6*e^6*z^3 + 51840*a^7*b^4*c^5*d^4*e^8*z^3 + 51840*a^5*b^4*c^7*d^8*e^4*z^3 - 42240*a^8*b^2*c^6*d^4*e^8*z^3 - 42240*a^6*b^2*c^8*d^8*e^4*z^3 - 32256*a^6*b^5*c^5*d^5*e^7*z^3 - 32256*a^5*b^5*c^6*d^7*e^5*z^3 + 21120*a^5*b^7*c^4*d^5*e^7*z^3 + 21120*a^4*b^7*c^5*d^7*e^5*z^3 - 17920*a^8*b^3*c^5*d^3*e^9*z^3 - 17920*a^5*b^3*c^8*d^9*e^3*z^3 - 17024*a^5*b^6*c^5*d^6*e^6*z^3 - 16800*a^6*b^6*c^4*d^4*e^8*z^3 - 16800*a^4*b^6*c^6*d^8*e^4*z^3 + 15360*a^8*b^4*c^4*d^2*e^10*z^3 - 15360*a^7*b^3*c^6*d^5*e^7*z^3 - 15360*a^6*b^3*c^7*d^7*e^5*z^3 + 15360*a^4*b^4*c^8*d^10*e^2*z^3 - 8640*a^7*b^6*c^3*d^2*e^10*z^3 - 8640*a^3*b^6*c^7*d^10*e^2*z^3 + 8000*a^6*b^7*c^3*d^3*e^9*z^3 + 8000*a^3*b^7*c^6*d^9*e^3*z^3 - 7680*a^9*b^2*c^5*d^2*e^10*z^3 - 7680*a^5*b^2*c^9*d^10*e^2*z^3 - 6400*a^7*b^5*c^4*d^3*e^9*z^3 - 6400*a^4*b^5*c^7*d^9*e^3*z^3 - 4560*a^4*b^9*c^3*d^5*e^7*z^3 - 4560*a^3*b^9*c^4*d^7*e^5*z^3 - 3920*a^4*b^8*c^4*d^6*e^6*z^3 - 2600*a^5*b^9*c^2*d^3*e^9*z^3 - 2600*a^2*b^9*c^5*d^9*e^3*z^3 + 2380*a^3*b^10*c^3*d^6*e^6*z^3 + 2280*a^6*b^8*c^2*d^2*e^10*z^3 + 2280*a^2*b^8*c^6*d^10*e^2*z^3 + 1215*a^4*b^10*c^2*d^4*e^8*z^3 + 1215*a^2*b^10*c^4*d^8*e^4*z^3 - 350*a^2*b^12*c^2*d^6*e^6*z^3 - 300*a^5*b^8*c^3*d^4*e^8*z^3 - 300*a^3*b^8*c^5*d^8*e^4*z^3 + 180*a^3*b^11*c^2*d^5*e^7*z^3 + 180*a^2*b^11*c^3*d^7*e^5*z^3 - 6*b^15*c*d^7*e^5*z^3 - 6*b^11*c^5*d^11*e*z^3 - 6*a^5*b^11*d*e^11*z^3 - 6*a*b^15*d^5*e^7*z^3 - 20*a^7*b^8*c*e^12*z^3 - 20*a*b^8*c^7*d^12*z^3 - 20*b^13*c^3*d^9*e^3*z^3 + 15*b^14*c^2*d^8*e^4*z^3 + 15*b^12*c^4*d^10*e^2*z^3 - 20480*a^8*c^8*d^6*e^6*z^3 - 15360*a^9*c^7*d^4*e^8*z^3 - 15360*a^7*c^9*d^8*e^4*z^3 - 6144*a^10*c^6*d^2*e^10*z^3 - 6144*a^6*c^10*d^10*e^2*z^3 - 20*a^3*b^13*d^3*e^9*z^3 + 15*a^4*b^12*d^2*e^10*z^3 + 15*a^2*b^14*d^4*e^8*z^3 + 1280*a^10*b^2*c^4*e^12*z^3 - 640*a^9*b^4*c^3*e^12*z^3 + 160*a^8*b^6*c^2*e^12*z^3 + 1280*a^4*b^2*c^10*d^12*z^3 - 640*a^3*b^4*c^9*d^12*z^3 + 160*a^2*b^6*c^8*d^12*z^3 - 1024*a^11*c^5*e^12*z^3 - 1024*a^5*c^11*d^12*z^3 + b^16*d^6*e^6*z^3 + b^10*c^6*d^12*z^3 + a^6*b^10*e^12*z^3 + 132*a*b*c^8*d^8*e^2*f*g*z + 1960*a^2*b^3*c^5*d^4*e^6*f*g*z - 1560*a^3*b^2*c^5*d^3*e^7*f*g*z - 1500*a^2*b^2*c^6*d^5*e^5*f*g*z + 960*a^3*b^3*c^4*d^2*e^8*f*g*z - 420*a^2*b^4*c^4*d^3*e^7*f*g*z - 222*a^2*b^5*c^3*d^2*e^8*f*g*z - 40*a*b^8*c*d*e^9*f*g*z + 1830*a^4*b^2*c^4*d*e^9*f*g*z + 1440*a*b^3*c^6*d^6*e^4*f*g*z - 1080*a^3*b^4*c^3*d*e^9*f*g*z - 856*a*b^2*c^7*d^7*e^3*f*g*z - 840*a*b^4*c^5*d^5*e^5*f*g*z + 302*a^2*b^6*c^2*d*e^9*f*g*z + 180*a^4*b*c^5*d^2*e^8*f*g*z - 120*a^3*b*c^6*d^4*e^6*f*g*z + 84*a*b^6*c^3*d^3*e^7*f*g*z - 24*a^2*b*c^7*d^6*e^4*f*g*z + 18*a*b^7*c^2*d^2*e^8*f*g*z - 2*a*b^5*c^4*d^4*e^6*f*g*z + 24*a*c^9*d^9*e*f*g*z + 372*b^3*c^7*d^8*e^2*f*g*z - 340*b^4*c^6*d^7*e^3*f*g*z + 114*b^5*c^5*d^6*e^4*f*g*z + 12*b^6*c^4*d^5*e^5*f*g*z - 6*b^8*c^2*d^3*e^7*f*g*z - 2*b^7*c^3*d^4*e^6*f*g*z + 528*a^3*c^7*d^5*e^5*f*g*z + 480*a^4*c^6*d^3*e^7*f*g*z + 224*a^2*c^8*d^7*e^3*f*g*z - 60*a^4*b^3*c^3*e^10*f*g*z + 6*a^3*b^5*c^2*e^10*f*g*z + 36*a^5*b*c^4*d*e^9*g^2*z + 20*a*b^8*c*d^2*e^8*g^2*z + 960*a*b*c^8*d^7*e^3*f^2*z + 900*a^4*b*c^5*d*e^9*f^2*z - 1185*a^4*b^2*c^4*d^2*e^8*g^2*z + 450*a^3*b^4*c^3*d^2*e^8*g^2*z - 420*a^2*b^4*c^4*d^4*e^6*g^2*z + 300*a^3*b^2*c^5*d^4*e^6*g^2*z + 210*a^2*b^2*c^6*d^6*e^4*g^2*z + 192*a^2*b^5*c^3*d^3*e^7*g^2*z - 142*a^2*b^6*c^2*d^2*e^8*g^2*z + 100*a^2*b^3*c^5*d^5*e^5*g^2*z + 60*a^3*b^3*c^4*d^3*e^7*g^2*z - 1950*a^2*b^2*c^6*d^4*e^6*f^2*z - 900*a^3*b^2*c^5*d^2*e^8*f^2*z + 300*a^2*b^4*c^4*d^2*e^8*f^2*z + 100*a^2*b^3*c^5*d^3*e^7*f^2*z - 186*b^2*c^8*d^9*e*f*g*z - 1896*a^5*c^5*d*e^9*f*g*z + 180*a^5*b*c^4*e^10*f*g*z - 12*a*b*c^8*d^9*e*g^2*z - 390*a*b^4*c^5*d^6*e^4*g^2*z + 298*a*b^5*c^4*d^5*e^5*g^2*z + 180*a*b^3*c^6*d^7*e^3*g^2*z - 120*a^3*b*c^6*d^5*e^5*g^2*z - 96*a^2*b*c^7*d^7*e^3*g^2*z + 60*a^4*b^3*c^3*d*e^9*g^2*z - 54*a*b^6*c^3*d^4*e^6*g^2*z - 18*a*b^7*c^2*d^3*e^7*g^2*z - 6*a^3*b^5*c^2*d*e^9*g^2*z - 4*a*b^2*c^7*d^8*e^2*g^2*z + 2400*a^3*b*c^6*d^3*e^7*f^2*z + 2280*a^2*b*c^7*d^5*e^5*f^2*z - 1300*a*b^2*c^7*d^6*e^4*f^2*z + 540*a*b^3*c^6*d^5*e^5*f^2*z - 300*a^3*b^3*c^4*d*e^9*f^2*z + 150*a*b^4*c^5*d^4*e^6*f^2*z - 80*a*b^5*c^4*d^3*e^7*f^2*z + 30*a^2*b^5*c^3*d*e^9*f^2*z - 30*a*b^6*c^3*d^2*e^8*f^2*z + 180*b*c^9*d^9*e*f^2*z + 20*a*b^8*c*e^10*f^2*z - 100*b^4*c^6*d^8*e^2*g^2*z + 96*b^5*c^5*d^7*e^3*g^2*z - 33*b^6*c^4*d^6*e^4*g^2*z - 8*b^7*c^3*d^5*e^5*g^2*z + 6*b^8*c^2*d^4*e^6*g^2*z + 912*a^5*c^5*d^2*e^8*g^2*z - 345*b^2*c^8*d^8*e^2*f^2*z + 300*b^3*c^7*d^7*e^3*f^2*z - 120*a^4*c^6*d^4*e^6*g^2*z - 100*b^4*c^6*d^6*e^4*f^2*z - 48*a^3*c^7*d^6*e^4*g^2*z - 15*b^6*c^4*d^4*e^6*f^2*z + 10*b^7*c^3*d^3*e^7*f^2*z + 6*b^5*c^5*d^5*e^5*f^2*z - 4*a^2*c^8*d^8*e^2*g^2*z - 1200*a^3*c^7*d^4*e^6*f^2*z - 900*a^4*c^6*d^2*e^8*f^2*z - 760*a^2*c^8*d^6*e^4*f^2*z - 1185*a^4*b^2*c^4*e^10*f^2*z + 630*a^3*b^4*c^3*e^10*f^2*z - 160*a^2*b^6*c^2*e^10*f^2*z + 2*b^10*d*e^9*f*g*z + 36*b*c^9*d^10*f*g*z + 48*b^3*c^7*d^9*e*g^2*z - 240*a*c^9*d^8*e^2*f^2*z - b^10*d^2*e^8*g^2*z - 36*a^6*c^4*e^10*g^2*z - 9*b^2*c^8*d^10*g^2*z + 768*a^5*c^5*e^10*f^2*z - 36*c^10*d^10*f^2*z - b^10*e^10*f^2*z - 177*a*b^2*c^4*d^2*e^7*f*g^2 + 285*a*b^2*c^4*d*e^8*f^2*g + 252*a^2*b*c^4*d*e^8*f*g^2 - 120*a*b^3*c^3*d*e^8*f*g^2 + 108*a*b*c^5*d^3*e^6*f*g^2 + 36*a*b*c^5*d^2*e^7*f^2*g - 132*a*b*c^5*d*e^8*f^3 - 69*b^2*c^5*d^4*e^5*f*g^2 + 57*b^2*c^5*d^3*e^6*f^2*g - 45*b^3*c^4*d^2*e^7*f^2*g + 30*b^4*c^3*d^2*e^7*f*g^2 + 9*b^3*c^4*d^3*e^6*f*g^2 + 156*a^2*c^5*d^2*e^7*f*g^2 - 72*a^2*b*c^4*d^2*e^7*g^3 + 60*a*b^3*c^3*d^2*e^7*g^3 - 13*a*b^2*c^4*d^3*e^6*g^3 + 36*b*c^6*d^5*e^4*f*g^2 + 36*b*c^6*d^4*e^5*f^2*g - 30*b^4*c^3*d*e^8*f^2*g + 12*b^5*c^2*d*e^8*f*g^2 - 408*a^2*c^5*d*e^8*f^2*g - 156*a*c^6*d^3*e^6*f^2*g + 24*a*c^6*d^4*e^5*f*g^2 - 180*a^2*b*c^4*e^9*f^2*g + 60*a*b^3*c^3*e^9*f^2*g - 12*a*b*c^5*d^4*e^5*g^3 - 36*c^7*d^5*e^4*f^2*g - 6*b^5*c^2*e^9*f^2*g + 36*a^3*c^4*e^9*f*g^2 - 72*b*c^6*d^3*e^6*f^3 - 36*a^3*c^4*d*e^8*g^3 + 15*b^3*c^4*d*e^8*f^3 + 132*a*c^6*d^2*e^7*f^3 - 95*a*b^2*c^4*e^9*f^3 + 21*b^3*c^4*d^4*e^5*g^3 - 10*b^4*c^3*d^3*e^6*g^3 - 9*b^2*c^5*d^5*e^4*g^3 - 6*b^5*c^2*d^2*e^7*g^3 + 21*b^2*c^5*d^2*e^7*f^3 - 4*a^2*c^5*d^3*e^6*g^3 + 36*c^7*d^4*e^5*f^3 + 10*b^4*c^3*e^9*f^3 + 256*a^2*c^5*e^9*f^3, z, k), k, 1, 3)","B"
2377,1,40079,1043,12.999383,"\text{Not used}","int((f + g*x)/((d + e*x)^2*(a + b*x + c*x^2)^3),x)","\left(\sum 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,d^2\,e^3+36\,f\,a^2\,c^4\,d\,e^4+4\,g\,a\,b^4\,c\,e^5-53\,g\,a\,b^3\,c^2\,d\,e^4+87\,f\,a\,b^3\,c^2\,e^5-4\,g\,a\,b^2\,c^3\,d^2\,e^3-78\,f\,a\,b^2\,c^3\,d\,e^4-24\,g\,a\,b\,c^4\,d^3\,e^2+24\,f\,a\,b\,c^4\,d^2\,e^3-8\,g\,a\,c^5\,d^4\,e+48\,f\,a\,c^5\,d^3\,e^2+8\,g\,b^5\,c\,d\,e^4-12\,f\,b^5\,c\,e^5-10\,g\,b^4\,c^2\,d^2\,e^3+9\,f\,b^4\,c^2\,d\,e^4+15\,g\,b^3\,c^3\,d^3\,e^2+15\,f\,b^3\,c^3\,d^2\,e^3+5\,g\,b^2\,c^4\,d^4\,e-30\,f\,b^2\,c^4\,d^3\,e^2-6\,g\,b\,c^5\,d^5-6\,f\,b\,c^5\,d^4\,e+12\,f\,c^6\,d^5\right)}{2\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}+\frac{x\,\left(24\,g\,a^4\,c^2\,e^5-21\,g\,a^3\,b^2\,c\,e^5+106\,g\,a^3\,b\,c^2\,d\,e^4-122\,f\,a^3\,b\,c^2\,e^5+24\,g\,a^3\,c^3\,d^2\,e^3+44\,f\,a^3\,c^3\,d\,e^4+3\,g\,a^2\,b^4\,e^5-53\,g\,a^2\,b^3\,c\,d\,e^4+68\,f\,a^2\,b^3\,c\,e^5+40\,g\,a^2\,b^2\,c^2\,d^2\,e^3-70\,f\,a^2\,b^2\,c^2\,d\,e^4-72\,g\,a^2\,b\,c^3\,d^3\,e^2+16\,f\,a^2\,b\,c^3\,d^2\,e^3+64\,f\,a^2\,c^4\,d^3\,e^2+7\,g\,a\,b^5\,d\,e^4-9\,f\,a\,b^5\,e^5-15\,g\,a\,b^4\,c\,d^2\,e^3+26\,f\,a\,b^4\,c\,d\,e^4+21\,g\,a\,b^3\,c^2\,d^3\,e^2-33\,f\,a\,b^3\,c^2\,d^2\,e^3+9\,g\,a\,b^2\,c^3\,d^4\,e+14\,f\,a\,b^2\,c^3\,d^3\,e^2-10\,g\,a\,b\,c^4\,d^5-30\,f\,a\,b\,c^4\,d^4\,e+20\,f\,a\,c^5\,d^5+2\,g\,b^6\,d^2\,e^3-3\,f\,b^6\,d\,e^4-6\,g\,b^5\,c\,d^3\,e^2+5\,f\,b^5\,c\,d^2\,e^3+6\,g\,b^4\,c^2\,d^4\,e+3\,f\,b^4\,c^2\,d^3\,e^2-2\,g\,b^3\,c^3\,d^5-9\,f\,b^3\,c^3\,d^4\,e+4\,f\,b^2\,c^4\,d^5\right)}{2\,\left(16\,a^5\,c^2\,e^6-8\,a^4\,b^2\,c\,e^6-48\,a^4\,b\,c^2\,d\,e^5+48\,a^4\,c^3\,d^2\,e^4+a^3\,b^4\,e^6+24\,a^3\,b^3\,c\,d\,e^5+24\,a^3\,b^2\,c^2\,d^2\,e^4-96\,a^3\,b\,c^3\,d^3\,e^3+48\,a^3\,c^4\,d^4\,e^2-3\,a^2\,b^5\,d\,e^5-21\,a^2\,b^4\,c\,d^2\,e^4+32\,a^2\,b^3\,c^2\,d^3\,e^3+24\,a^2\,b^2\,c^3\,d^4\,e^2-48\,a^2\,b\,c^4\,d^5\,e+16\,a^2\,c^5\,d^6+3\,a\,b^6\,d^2\,e^4+2\,a\,b^5\,c\,d^3\,e^3-21\,a\,b^4\,c^2\,d^4\,e^2+24\,a\,b^3\,c^3\,d^5\,e-8\,a\,b^2\,c^4\,d^6-b^7\,d^3\,e^3+3\,b^6\,c\,d^4\,e^2-3\,b^5\,c^2\,d^5\,e+b^4\,c^3\,d^6\right)}}{x^2\,\left(d\,b^2+2\,a\,e\,b+2\,a\,c\,d\right)+x^3\,\left(e\,b^2+2\,c\,d\,b+2\,a\,c\,e\right)+x\,\left(e\,a^2+2\,b\,d\,a\right)+a^2\,d+x^4\,\left(d\,c^2+2\,b\,e\,c\right)+c^2\,e\,x^5}","Not used",1,"symsum(log(root(286720*a^9*b*c^8*d^7*e^9*z^3 + 286720*a^8*b*c^9*d^9*e^7*z^3 + 172032*a^10*b*c^7*d^5*e^11*z^3 + 172032*a^7*b*c^10*d^11*e^5*z^3 + 57344*a^11*b*c^6*d^3*e^13*z^3 + 57344*a^6*b*c^11*d^13*e^3*z^3 - 10240*a^11*b^3*c^4*d*e^15*z^3 - 10240*a^4*b^3*c^11*d^15*e*z^3 + 5120*a^10*b^5*c^3*d*e^15*z^3 + 5120*a^3*b^5*c^10*d^15*e*z^3 - 1280*a^9*b^7*c^2*d*e^15*z^3 - 1280*a^2*b^7*c^9*d^15*e*z^3 - 1232*a^5*b^12*c*d^4*e^12*z^3 - 1232*a*b^12*c^5*d^12*e^4*z^3 + 1064*a^6*b^11*c*d^3*e^13*z^3 + 1064*a*b^11*c^6*d^13*e^3*z^3 + 840*a^4*b^13*c*d^5*e^11*z^3 + 840*a*b^13*c^4*d^11*e^5*z^3 - 552*a^7*b^10*c*d^2*e^14*z^3 - 552*a*b^10*c^7*d^14*e^2*z^3 - 280*a^3*b^14*c*d^6*e^10*z^3 - 280*a*b^14*c^3*d^10*e^6*z^3 - 8*a^2*b^15*c*d^7*e^9*z^3 - 8*a*b^15*c^2*d^9*e^7*z^3 + 8192*a^12*b*c^5*d*e^15*z^3 + 8192*a^5*b*c^12*d^15*e*z^3 + 160*a^8*b^9*c*d*e^15*z^3 + 160*a*b^9*c^8*d^15*e*z^3 + 36*a*b^16*c*d^8*e^8*z^3 - 483840*a^8*b^2*c^8*d^8*e^8*z^3 - 365568*a^7*b^5*c^6*d^7*e^9*z^3 - 365568*a^6*b^5*c^7*d^9*e^7*z^3 - 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2048*a^10*b^2*c^5*e^15 + 1536*a^5*c^12*d^12*e^3 - 1536*a^6*c^11*d^10*e^5 - 12800*a^7*c^10*d^8*e^7 - 23040*a^8*c^9*d^6*e^9 - 19968*a^9*c^8*d^4*e^11 - 8704*a^10*c^7*d^2*e^13 - 14*b^9*c^8*d^13*e^2 + 44*b^10*c^7*d^12*e^3 - 82*b^11*c^6*d^11*e^4 + 100*b^12*c^5*d^10*e^5 - 82*b^13*c^4*d^9*e^6 + 44*b^14*c^3*d^8*e^7 - 14*b^15*c^2*d^7*e^8 - 1344*a^2*b^5*c^10*d^13*e^2 + 4128*a^2*b^6*c^9*d^12*e^3 - 7296*a^2*b^7*c^8*d^11*e^4 + 7962*a^2*b^8*c^7*d^10*e^5 - 4962*a^2*b^9*c^6*d^9*e^6 + 834*a^2*b^10*c^5*d^8*e^7 + 1092*a^2*b^11*c^4*d^7*e^8 - 714*a^2*b^12*c^3*d^6*e^9 + 78*a^2*b^13*c^2*d^5*e^10 + 3584*a^3*b^3*c^11*d^13*e^2 - 10688*a^3*b^4*c^10*d^12*e^3 + 17536*a^3*b^5*c^9*d^11*e^4 - 15712*a^3*b^6*c^8*d^10*e^5 + 3232*a^3*b^7*c^7*d^9*e^6 + 9326*a^3*b^8*c^6*d^8*e^7 - 10232*a^3*b^9*c^5*d^7*e^8 + 3164*a^3*b^10*c^4*d^6*e^9 + 752*a^3*b^11*c^3*d^5*e^10 - 410*a^3*b^12*c^2*d^4*e^11 + 9728*a^4*b^2*c^11*d^12*e^3 - 11776*a^4*b^3*c^10*d^11*e^4 - 1088*a^4*b^4*c^9*d^10*e^5 + 27968*a^4*b^5*c^8*d^9*e^6 - 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698*a*b^8*c^8*d^12*e^3 + 1276*a*b^9*c^7*d^11*e^4 - 1498*a*b^10*c^6*d^10*e^5 + 1132*a*b^11*c^5*d^9*e^6 - 494*a*b^12*c^4*d^8*e^7 + 68*a*b^13*c^3*d^7*e^8 + 34*a*b^14*c^2*d^6*e^9 + 192*a^2*b^4*c^11*d^14*e + 30*a^2*b^14*c*d^4*e^11 - 512*a^3*b^2*c^12*d^14*e - 40*a^3*b^13*c*d^3*e^12 - 3584*a^4*b*c^12*d^13*e^2 + 30*a^4*b^12*c*d^2*e^13 - 9216*a^5*b*c^11*d^11*e^4 + 7680*a^6*b*c^10*d^9*e^6 + 226*a^6*b^9*c^2*d*e^14 + 51200*a^7*b*c^9*d^7*e^8 - 1696*a^7*b^7*c^3*d*e^14 + 69120*a^8*b*c^8*d^5*e^10 + 6336*a^8*b^5*c^4*d*e^14 + 39936*a^9*b*c^7*d^3*e^12 - 11776*a^9*b^3*c^5*d*e^14))/(256*a^4*c^10*d^12 + a^6*b^8*e^12 + 256*a^10*c^4*e^12 + b^8*c^6*d^12 + b^14*d^6*e^6 - 16*a*b^6*c^7*d^12 - 16*a^7*b^6*c*e^12 - 6*a*b^13*d^5*e^7 - 6*a^5*b^9*d*e^11 - 6*b^9*c^5*d^11*e - 6*b^13*c*d^7*e^5 + 96*a^2*b^4*c^8*d^12 - 256*a^3*b^2*c^9*d^12 + 96*a^8*b^4*c^2*e^12 - 256*a^9*b^2*c^3*e^12 + 15*a^2*b^12*d^4*e^8 - 20*a^3*b^11*d^3*e^9 + 15*a^4*b^10*d^2*e^10 + 1536*a^5*c^9*d^10*e^2 + 3840*a^6*c^8*d^8*e^4 + 5120*a^7*c^7*d^6*e^6 + 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64*a^3*c^11*d^11*e^2*g - 704*a^4*c^10*d^9*e^4*g - 2176*a^5*c^9*d^7*e^6*g - 2944*a^6*c^8*d^5*e^8*g - 1856*a^7*c^7*d^3*e^10*g - 30*b^5*c^9*d^11*e^2*f + 57*b^6*c^8*d^10*e^3*f - 48*b^7*c^7*d^9*e^4*f + 15*b^8*c^6*d^8*e^5*f - 6*b^10*c^4*d^6*e^7*f + 15*b^11*c^3*d^5*e^8*f - 12*b^12*c^2*d^4*e^9*f + 16*b^6*c^8*d^11*e^2*g - 33*b^7*c^7*d^10*e^3*g + 30*b^8*c^6*d^9*e^4*g - 10*b^9*c^5*d^8*e^5*g + 5*b^10*c^4*d^7*e^6*g - 12*b^11*c^3*d^6*e^7*g + 9*b^12*c^2*d^5*e^8*g + 240*a*b^3*c^10*d^11*e^2*f - 420*a*b^4*c^9*d^10*e^3*f + 246*a*b^5*c^8*d^9*e^4*f + 39*a*b^6*c^7*d^8*e^5*f - 36*a*b^7*c^6*d^7*e^6*f + 78*a*b^8*c^5*d^6*e^7*f - 252*a*b^9*c^4*d^5*e^8*f + 186*a*b^10*c^3*d^4*e^9*f - 24*a*b^11*c^2*d^3*e^10*f - 480*a^2*b*c^11*d^11*e^2*f - 2208*a^3*b*c^10*d^9*e^4*f - 150*a^3*b^9*c^2*d*e^12*f - 4032*a^4*b*c^9*d^7*e^6*f + 948*a^4*b^7*c^3*d*e^12*f - 3648*a^5*b*c^8*d^5*e^8*f - 2706*a^5*b^5*c^4*d*e^12*f - 1632*a^6*b*c^7*d^3*e^10*f + 3024*a^6*b^3*c^5*d*e^12*f - 132*a*b^4*c^9*d^11*e^2*g + 264*a*b^5*c^8*d^10*e^3*g - 184*a*b^6*c^7*d^9*e^4*g - 17*a*b^7*c^6*d^8*e^5*g - 48*a*b^8*c^5*d^7*e^6*g + 212*a*b^9*c^4*d^6*e^7*g - 139*a*b^10*c^3*d^5*e^8*g + 15*a*b^11*c^2*d^4*e^9*g - 3*a^2*b^11*c*d^2*e^11*g + 848*a^4*b*c^9*d^8*e^5*g + 18*a^4*b^8*c^2*d*e^12*g + 2432*a^5*b*c^8*d^6*e^7*g - 128*a^5*b^6*c^3*d*e^12*g + 2928*a^6*b*c^7*d^4*e^9*g + 388*a^6*b^4*c^4*d*e^12*g + 1664*a^7*b*c^6*d^2*e^11*g - 288*a^7*b^2*c^5*d*e^12*g + 624*a^2*b^2*c^10*d^10*e^3*f + 336*a^2*b^3*c^9*d^9*e^4*f - 918*a^2*b^4*c^8*d^8*e^5*f + 36*a^2*b^5*c^7*d^7*e^6*f - 414*a^2*b^6*c^6*d^6*e^7*f + 1740*a^2*b^7*c^5*d^5*e^8*f - 1038*a^2*b^8*c^4*d^4*e^9*f - 126*a^2*b^9*c^3*d^3*e^10*f + 135*a^2*b^10*c^2*d^2*e^11*f + 1632*a^3*b^2*c^9*d^8*e^5*f + 1440*a^3*b^3*c^8*d^7*e^6*f + 1320*a^3*b^4*c^7*d^6*e^7*f - 5892*a^3*b^5*c^6*d^5*e^8*f + 1974*a^3*b^6*c^5*d^4*e^9*f + 2004*a^3*b^7*c^4*d^3*e^10*f - 690*a^3*b^8*c^3*d^2*e^11*f - 2976*a^4*b^2*c^8*d^6*e^7*f + 8928*a^4*b^3*c^7*d^5*e^8*f + 2010*a^4*b^4*c^6*d^4*e^9*f - 7782*a^4*b^5*c^5*d^3*e^10*f + 981*a^4*b^6*c^4*d^2*e^11*f - 9456*a^5*b^2*c^7*d^4*e^9*f + 10608*a^5*b^3*c^6*d^3*e^10*f + 2364*a^5*b^4*c^5*d^2*e^11*f - 6864*a^6*b^2*c^6*d^2*e^11*f + 288*a^2*b^2*c^10*d^11*e^2*g - 528*a^2*b^3*c^9*d^10*e^3*g - 12*a^2*b^4*c^8*d^9*e^4*g + 669*a^2*b^5*c^7*d^8*e^5*g + 328*a^2*b^6*c^6*d^7*e^6*g - 1430*a^2*b^7*c^5*d^6*e^7*g + 708*a^2*b^8*c^4*d^5*e^8*g + 101*a^2*b^9*c^3*d^4*e^9*g - 73*a^2*b^10*c^2*d^3*e^10*g + 1248*a^3*b^2*c^9*d^9*e^4*g - 1976*a^3*b^3*c^8*d^8*e^5*g - 1736*a^3*b^4*c^7*d^7*e^6*g + 4488*a^3*b^5*c^6*d^6*e^7*g - 1064*a^3*b^6*c^5*d^5*e^8*g - 1294*a^3*b^7*c^4*d^4*e^9*g + 348*a^3*b^8*c^3*d^3*e^10*g + 48*a^3*b^9*c^2*d^2*e^11*g + 4032*a^4*b^2*c^8*d^7*e^6*g - 6176*a^4*b^3*c^7*d^6*e^7*g - 1592*a^4*b^4*c^6*d^5*e^8*g + 4407*a^4*b^5*c^5*d^4*e^9*g - 504*a^4*b^6*c^4*d^3*e^10*g - 281*a^4*b^7*c^3*d^2*e^11*g + 5184*a^5*b^2*c^7*d^5*e^8*g - 5912*a^5*b^3*c^6*d^4*e^9*g - 500*a^5*b^4*c^5*d^3*e^10*g + 816*a^5*b^5*c^4*d^2*e^11*g + 1824*a^6*b^2*c^6*d^3*e^10*g - 1488*a^6*b^3*c^5*d^2*e^11*g - 48*a*b^2*c^11*d^12*e*f - 9*a*b^12*c*d^2*e^11*f + 9*a^2*b^11*c*d*e^12*f - 288*a^7*b*c^6*d*e^12*f + 24*a*b^3*c^10*d^12*e*g + 5*a*b^12*c*d^3*e^10*g - 48*a^2*b*c^11*d^12*e*g - a^3*b^10*c*d*e^12*g)/(256*a^4*c^10*d^12 + a^6*b^8*e^12 + 256*a^10*c^4*e^12 + b^8*c^6*d^12 + b^14*d^6*e^6 - 16*a*b^6*c^7*d^12 - 16*a^7*b^6*c*e^12 - 6*a*b^13*d^5*e^7 - 6*a^5*b^9*d*e^11 - 6*b^9*c^5*d^11*e - 6*b^13*c*d^7*e^5 + 96*a^2*b^4*c^8*d^12 - 256*a^3*b^2*c^9*d^12 + 96*a^8*b^4*c^2*e^12 - 256*a^9*b^2*c^3*e^12 + 15*a^2*b^12*d^4*e^8 - 20*a^3*b^11*d^3*e^9 + 15*a^4*b^10*d^2*e^10 + 1536*a^5*c^9*d^10*e^2 + 3840*a^6*c^8*d^8*e^4 + 5120*a^7*c^7*d^6*e^6 + 3840*a^8*c^6*d^4*e^8 + 1536*a^9*c^5*d^2*e^10 + 15*b^10*c^4*d^10*e^2 - 20*b^11*c^3*d^9*e^3 + 15*b^12*c^2*d^8*e^4 + 1344*a^2*b^6*c^6*d^10*e^2 - 1440*a^2*b^7*c^5*d^9*e^3 + 495*a^2*b^8*c^4*d^8*e^4 + 324*a^2*b^9*c^3*d^7*e^5 - 294*a^2*b^10*c^2*d^6*e^6 - 3264*a^3*b^4*c^7*d^10*e^2 + 2240*a^3*b^5*c^6*d^9*e^3 + 1680*a^3*b^6*c^5*d^8*e^4 - 3264*a^3*b^7*c^4*d^7*e^5 + 1204*a^3*b^8*c^3*d^6*e^6 + 324*a^3*b^9*c^2*d^5*e^7 + 2304*a^4*b^2*c^8*d^10*e^2 + 2560*a^4*b^3*c^7*d^9*e^3 - 10080*a^4*b^4*c^6*d^8*e^4 + 8064*a^4*b^5*c^5*d^7*e^5 + 896*a^4*b^6*c^4*d^6*e^6 - 3264*a^4*b^7*c^3*d^5*e^7 + 495*a^4*b^8*c^2*d^4*e^8 + 11520*a^5*b^2*c^7*d^8*e^4 - 13440*a^5*b^4*c^5*d^6*e^6 + 8064*a^5*b^5*c^4*d^5*e^7 + 1680*a^5*b^6*c^3*d^4*e^8 - 1440*a^5*b^7*c^2*d^3*e^9 + 17920*a^6*b^2*c^6*d^6*e^6 - 10080*a^6*b^4*c^4*d^4*e^8 + 2240*a^6*b^5*c^3*d^3*e^9 + 1344*a^6*b^6*c^2*d^2*e^10 + 11520*a^7*b^2*c^5*d^4*e^8 + 2560*a^7*b^3*c^4*d^3*e^9 - 3264*a^7*b^4*c^3*d^2*e^10 + 2304*a^8*b^2*c^4*d^2*e^10 + 96*a*b^7*c^6*d^11*e + 14*a*b^12*c*d^6*e^6 - 1536*a^4*b*c^9*d^11*e + 96*a^6*b^7*c*d*e^11 - 1536*a^9*b*c^4*d*e^11 - 234*a*b^8*c^5*d^10*e^2 + 290*a*b^9*c^4*d^9*e^3 - 180*a*b^10*c^3*d^8*e^4 + 36*a*b^11*c^2*d^7*e^5 - 576*a^2*b^5*c^7*d^11*e + 36*a^2*b^11*c*d^5*e^7 + 1536*a^3*b^3*c^8*d^11*e - 180*a^3*b^10*c*d^4*e^8 + 290*a^4*b^9*c*d^3*e^9 - 7680*a^5*b*c^8*d^9*e^3 - 234*a^5*b^8*c*d^2*e^10 - 15360*a^6*b*c^7*d^7*e^5 - 15360*a^7*b*c^6*d^5*e^7 - 576*a^7*b^5*c^2*d*e^11 - 7680*a^8*b*c^5*d^3*e^9 + 1536*a^8*b^3*c^3*d*e^11) + (x*(768*a^8*c^6*e^13*g - 1824*a^7*b*c^6*e^13*f + 3648*a^7*c^7*d*e^12*f - 6*a^3*b^9*c^2*e^13*f + 99*a^4*b^7*c^3*e^13*f - 618*a^5*b^5*c^4*e^13*f + 1728*a^6*b^3*c^5*e^13*f + 2*a^4*b^8*c^2*e^13*g - 33*a^5*b^6*c^3*e^13*g + 216*a^6*b^4*c^4*e^13*g - 656*a^7*b^2*c^5*e^13*g + 192*a^2*c^12*d^11*e^2*f + 1344*a^3*c^11*d^9*e^4*f + 6528*a^4*c^10*d^7*e^6*f + 13440*a^5*c^9*d^5*e^8*f + 11712*a^6*c^8*d^3*e^10*f - 128*a^3*c^11*d^10*e^3*g - 2816*a^4*c^10*d^8*e^5*g - 6912*a^5*c^9*d^6*e^7*g - 5120*a^6*c^8*d^4*e^9*g - 128*a^7*c^7*d^2*e^11*g + 12*b^4*c^10*d^11*e^2*f - 66*b^5*c^9*d^10*e^3*f + 144*b^6*c^8*d^9*e^4*f - 153*b^7*c^7*d^8*e^5*f + 84*b^8*c^6*d^7*e^6*f - 42*b^9*c^5*d^6*e^7*f + 42*b^10*c^4*d^5*e^8*f - 27*b^11*c^3*d^4*e^9*f + 6*b^12*c^2*d^3*e^10*f - 6*b^5*c^9*d^11*e^2*g + 35*b^6*c^8*d^10*e^3*g - 82*b^7*c^7*d^9*e^4*g + 88*b^8*c^6*d^8*e^5*g - 28*b^9*c^5*d^7*e^6*g - 23*b^10*c^4*d^6*e^7*g + 20*b^11*c^3*d^5*e^8*g - 4*b^12*c^2*d^4*e^9*g - 96*a*b^2*c^11*d^11*e^2*f + 528*a*b^3*c^10*d^10*e^3*f - 1068*a*b^4*c^9*d^9*e^4*f + 846*a*b^5*c^8*d^8*e^5*f - 120*a*b^6*c^7*d^7*e^6*f + 168*a*b^7*c^6*d^6*e^7*f - 588*a*b^8*c^5*d^5*e^8*f + 384*a*b^9*c^4*d^4*e^9*f - 36*a*b^10*c^3*d^3*e^10*f - 18*a*b^11*c^2*d^2*e^11*f - 1056*a^2*b*c^11*d^10*e^3*f + 18*a^2*b^10*c^2*d*e^12*f - 6048*a^3*b*c^10*d^8*e^5*f - 288*a^3*b^8*c^3*d*e^12*f - 22848*a^4*b*c^9*d^6*e^7*f + 1704*a^4*b^6*c^4*d*e^12*f - 33600*a^5*b*c^8*d^4*e^9*f - 4188*a^5*b^4*c^5*d*e^12*f - 17568*a^6*b*c^7*d^2*e^11*f + 2400*a^6*b^2*c^6*d*e^12*f + 48*a*b^3*c^10*d^11*e^2*g - 288*a*b^4*c^9*d^10*e^3*g + 654*a*b^5*c^8*d^9*e^4*g - 517*a*b^6*c^7*d^8*e^5*g - 284*a*b^7*c^6*d^7*e^6*g + 698*a*b^8*c^5*d^6*e^7*g - 344*a*b^9*c^4*d^5*e^8*g + 23*a*b^10*c^3*d^4*e^9*g + 10*a*b^11*c^2*d^3*e^10*g - 96*a^2*b*c^11*d^11*e^2*g - 32*a^3*b*c^10*d^9*e^4*g - 2*a^3*b^9*c^2*d*e^12*g + 8000*a^4*b*c^9*d^7*e^6*g + 34*a^4*b^7*c^3*d*e^12*g + 14016*a^5*b*c^8*d^5*e^8*g - 282*a^5*b^5*c^4*d*e^12*g + 4384*a^6*b*c^7*d^3*e^10*g + 1136*a^6*b^3*c^5*d*e^12*g + 1632*a^2*b^2*c^10*d^9*e^4*f + 576*a^2*b^3*c^9*d^8*e^5*f - 2664*a^2*b^4*c^8*d^7*e^6*f - 756*a^2*b^5*c^7*d^6*e^7*f + 4200*a^2*b^6*c^6*d^5*e^8*f - 1986*a^2*b^7*c^5*d^4*e^9*f - 408*a^2*b^8*c^4*d^3*e^10*f + 252*a^2*b^9*c^3*d^2*e^11*f + 5568*a^3*b^2*c^9*d^7*e^6*f + 8736*a^3*b^3*c^8*d^6*e^7*f - 15288*a^3*b^4*c^7*d^5*e^8*f + 2268*a^3*b^5*c^6*d^4*e^9*f + 4824*a^3*b^6*c^5*d^3*e^10*f - 1104*a^3*b^7*c^4*d^2*e^11*f + 17472*a^4*b^2*c^8*d^5*e^8*f + 13440*a^4*b^3*c^7*d^4*e^9*f - 16740*a^4*b^4*c^6*d^3*e^10*f + 246*a^4*b^5*c^5*d^2*e^11*f + 16032*a^5*b^2*c^7*d^3*e^10*f + 9552*a^5*b^3*c^6*d^2*e^11*f + 624*a^2*b^2*c^10*d^10*e^3*g - 1296*a^2*b^3*c^9*d^9*e^4*g - 264*a^2*b^4*c^8*d^8*e^5*g + 4116*a^2*b^5*c^7*d^7*e^6*g - 4674*a^2*b^6*c^6*d^6*e^7*g + 1296*a^2*b^7*c^5*d^5*e^8*g + 438*a^2*b^8*c^4*d^4*e^9*g - 138*a^2*b^9*c^3*d^3*e^10*g - 6*a^2*b^10*c^2*d^2*e^11*g + 4400*a^3*b^2*c^9*d^8*e^5*g - 12128*a^3*b^3*c^8*d^7*e^6*g + 9344*a^3*b^4*c^7*d^6*e^7*g + 1900*a^3*b^5*c^6*d^5*e^8*g - 3834*a^3*b^6*c^5*d^4*e^9*g + 380*a^3*b^7*c^4*d^3*e^10*g + 94*a^3*b^8*c^3*d^2*e^11*g + 352*a^4*b^2*c^8*d^6*e^7*g - 14944*a^4*b^3*c^7*d^5*e^8*g + 8560*a^4*b^4*c^6*d^4*e^9*g + 1298*a^4*b^5*c^5*d^3*e^10*g - 385*a^4*b^6*c^4*d^2*e^11*g - 1440*a^5*b^2*c^7*d^4*e^9*g - 6096*a^5*b^3*c^6*d^3*e^10*g + 96*a^5*b^4*c^5*d^2*e^11*g + 1328*a^6*b^2*c^6*d^2*e^11*g - 1696*a^7*b*c^6*d*e^12*g))/(256*a^4*c^10*d^12 + a^6*b^8*e^12 + 256*a^10*c^4*e^12 + b^8*c^6*d^12 + b^14*d^6*e^6 - 16*a*b^6*c^7*d^12 - 16*a^7*b^6*c*e^12 - 6*a*b^13*d^5*e^7 - 6*a^5*b^9*d*e^11 - 6*b^9*c^5*d^11*e - 6*b^13*c*d^7*e^5 + 96*a^2*b^4*c^8*d^12 - 256*a^3*b^2*c^9*d^12 + 96*a^8*b^4*c^2*e^12 - 256*a^9*b^2*c^3*e^12 + 15*a^2*b^12*d^4*e^8 - 20*a^3*b^11*d^3*e^9 + 15*a^4*b^10*d^2*e^10 + 1536*a^5*c^9*d^10*e^2 + 3840*a^6*c^8*d^8*e^4 + 5120*a^7*c^7*d^6*e^6 + 3840*a^8*c^6*d^4*e^8 + 1536*a^9*c^5*d^2*e^10 + 15*b^10*c^4*d^10*e^2 - 20*b^11*c^3*d^9*e^3 + 15*b^12*c^2*d^8*e^4 + 1344*a^2*b^6*c^6*d^10*e^2 - 1440*a^2*b^7*c^5*d^9*e^3 + 495*a^2*b^8*c^4*d^8*e^4 + 324*a^2*b^9*c^3*d^7*e^5 - 294*a^2*b^10*c^2*d^6*e^6 - 3264*a^3*b^4*c^7*d^10*e^2 + 2240*a^3*b^5*c^6*d^9*e^3 + 1680*a^3*b^6*c^5*d^8*e^4 - 3264*a^3*b^7*c^4*d^7*e^5 + 1204*a^3*b^8*c^3*d^6*e^6 + 324*a^3*b^9*c^2*d^5*e^7 + 2304*a^4*b^2*c^8*d^10*e^2 + 2560*a^4*b^3*c^7*d^9*e^3 - 10080*a^4*b^4*c^6*d^8*e^4 + 8064*a^4*b^5*c^5*d^7*e^5 + 896*a^4*b^6*c^4*d^6*e^6 - 3264*a^4*b^7*c^3*d^5*e^7 + 495*a^4*b^8*c^2*d^4*e^8 + 11520*a^5*b^2*c^7*d^8*e^4 - 13440*a^5*b^4*c^5*d^6*e^6 + 8064*a^5*b^5*c^4*d^5*e^7 + 1680*a^5*b^6*c^3*d^4*e^8 - 1440*a^5*b^7*c^2*d^3*e^9 + 17920*a^6*b^2*c^6*d^6*e^6 - 10080*a^6*b^4*c^4*d^4*e^8 + 2240*a^6*b^5*c^3*d^3*e^9 + 1344*a^6*b^6*c^2*d^2*e^10 + 11520*a^7*b^2*c^5*d^4*e^8 + 2560*a^7*b^3*c^4*d^3*e^9 - 3264*a^7*b^4*c^3*d^2*e^10 + 2304*a^8*b^2*c^4*d^2*e^10 + 96*a*b^7*c^6*d^11*e + 14*a*b^12*c*d^6*e^6 - 1536*a^4*b*c^9*d^11*e + 96*a^6*b^7*c*d*e^11 - 1536*a^9*b*c^4*d*e^11 - 234*a*b^8*c^5*d^10*e^2 + 290*a*b^9*c^4*d^9*e^3 - 180*a*b^10*c^3*d^8*e^4 + 36*a*b^11*c^2*d^7*e^5 - 576*a^2*b^5*c^7*d^11*e + 36*a^2*b^11*c*d^5*e^7 + 1536*a^3*b^3*c^8*d^11*e - 180*a^3*b^10*c*d^4*e^8 + 290*a^4*b^9*c*d^3*e^9 - 7680*a^5*b*c^8*d^9*e^3 - 234*a^5*b^8*c*d^2*e^10 - 15360*a^6*b*c^7*d^7*e^5 - 15360*a^7*b*c^6*d^5*e^7 - 576*a^7*b^5*c^2*d*e^11 - 7680*a^8*b*c^5*d^3*e^9 + 1536*a^8*b^3*c^3*d*e^11)) - (1728*a^3*b^3*c^5*e^11*f^2 - 36*c^11*d^9*e^2*f^2 - 738*a^2*b^5*c^4*e^11*f^2 - 9*b^9*c^2*e^11*f^2 - a^2*b^7*c^2*e^11*g^2 + 15*a^3*b^5*c^3*e^11*g^2 - 72*a^4*b^3*c^4*e^11*g^2 - 792*a^2*c^9*d^5*e^6*f^2 - 864*a^3*c^8*d^3*e^8*f^2 - 16*a^2*c^9*d^7*e^4*g^2 + 32*a^3*c^8*d^5*e^6*g^2 + 1648*a^4*c^7*d^3*e^8*g^2 - 180*b^2*c^9*d^7*e^4*f^2 + 36*b^3*c^8*d^6*e^5*f^2 + 63*b^4*c^7*d^5*e^6*f^2 - 45*b^6*c^5*d^3*e^8*f^2 + 9*b^7*c^4*d^2*e^9*f^2 - 9*b^2*c^9*d^9*e^2*g^2 + 42*b^3*c^8*d^8*e^3*g^2 - 67*b^4*c^7*d^7*e^4*g^2 + 39*b^5*c^6*d^6*e^5*g^2 + 4*b^6*c^5*d^5*e^6*g^2 - 17*b^7*c^4*d^4*e^7*g^2 + 12*b^8*c^3*d^3*e^8*g^2 - 4*b^9*c^2*d^2*e^9*g^2 + 480*a^5*c^6*e^11*f*g + 135*a*b^7*c^3*e^11*f^2 - 1440*a^4*b*c^6*e^11*f^2 + 112*a^5*b*c^5*e^11*g^2 - 288*a*c^10*d^7*e^4*f^2 + 1980*a^4*c^7*d*e^10*f^2 + 144*b*c^10*d^8*e^3*f^2 - 704*a^5*c^6*d*e^10*g^2 + 18*b^8*c^3*d*e^10*f^2 + 864*a*b*c^9*d^6*e^5*f^2 - 288*a*b^6*c^4*d*e^10*f^2 - 24*a*b*c^9*d^8*e^3*g^2 - 4*a*b^8*c^2*d*e^10*g^2 - 90*a^2*b^6*c^3*e^11*f*g + 462*a^3*b^4*c^4*e^11*f*g - 912*a^4*b^2*c^5*e^11*f*g + 144*a^2*c^9*d^6*e^5*f*g - 144*a^3*c^8*d^4*e^7*f*g - 4368*a^4*c^7*d^2*e^9*f*g - 156*b^2*c^9*d^8*e^3*f*g + 222*b^3*c^8*d^7*e^4*f*g - 90*b^4*c^7*d^6*e^5*f*g - 48*b^5*c^6*d^5*e^6*f*g + 36*b^6*c^5*d^4*e^7*f*g + 18*b^7*c^4*d^3*e^8*f*g - 30*b^8*c^3*d^2*e^9*f*g - 684*a*b^2*c^8*d^5*e^6*f^2 - 216*a*b^3*c^7*d^4*e^7*f^2 + 450*a*b^4*c^6*d^3*e^8*f^2 + 18*a*b^5*c^5*d^2*e^9*f^2 + 1872*a^2*b*c^8*d^4*e^7*f^2 + 1575*a^2*b^4*c^5*d*e^10*f^2 + 2016*a^3*b*c^7*d^2*e^9*f^2 - 3348*a^3*b^2*c^6*d*e^10*f^2 + 20*a*b^2*c^8*d^7*e^4*g^2 + 102*a*b^3*c^7*d^6*e^5*g^2 - 180*a*b^4*c^6*d^5*e^6*g^2 + 145*a*b^5*c^5*d^4*e^7*g^2 - 130*a*b^6*c^4*d^3*e^8*g^2 + 62*a*b^7*c^3*d^2*e^9*g^2 - 24*a^2*b*c^8*d^6*e^5*g^2 + 58*a^2*b^6*c^3*d*e^10*g^2 + 168*a^3*b*c^7*d^4*e^7*g^2 - 310*a^3*b^4*c^4*d*e^10*g^2 - 1256*a^4*b*c^6*d^2*e^9*g^2 + 735*a^4*b^2*c^5*d*e^10*g^2 + 6*a*b^8*c^2*e^11*f*g + 48*a*c^10*d^8*e^3*f*g + 36*b*c^10*d^9*e^2*f*g + 12*b^9*c^2*d*e^10*f*g - 1116*a^2*b^2*c^7*d^3*e^8*f^2 - 684*a^2*b^3*c^6*d^2*e^9*f^2 + 18*a^2*b^2*c^7*d^5*e^6*g^2 - 98*a^2*b^3*c^6*d^4*e^7*g^2 + 585*a^2*b^4*c^5*d^3*e^8*g^2 - 399*a^2*b^5*c^4*d^2*e^9*g^2 - 1692*a^3*b^2*c^6*d^3*e^8*g^2 + 1210*a^3*b^3*c^5*d^2*e^9*g^2 + 120*a*b*c^9*d^7*e^4*f*g - 180*a*b^7*c^3*d*e^10*f*g + 3708*a^4*b*c^6*d*e^10*f*g - 684*a*b^2*c^8*d^6*e^5*f*g + 774*a*b^3*c^7*d^5*e^6*f*g - 186*a*b^4*c^6*d^4*e^7*f*g - 258*a*b^5*c^5*d^3*e^8*f*g + 378*a*b^6*c^4*d^2*e^9*f*g + 192*a^2*b*c^8*d^5*e^6*f*g + 1086*a^2*b^5*c^4*d*e^10*f*g - 24*a^3*b*c^7*d^3*e^8*f*g - 3150*a^3*b^3*c^5*d*e^10*f*g - 804*a^2*b^2*c^7*d^4*e^7*f*g + 1002*a^2*b^3*c^6*d^3*e^8*f*g - 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2436*a*b^2*c^6*d^3*e^7*f*g^2 - 2142*a^2*b^2*c^5*d*e^9*f*g^2 - 1470*a*b^3*c^5*d^2*e^8*f*g^2 + 1020*a*b^4*c^4*d*e^9*f*g^2 + 732*a*b*c^7*d^4*e^6*f*g^2 + 720*a*b*c^7*d^3*e^7*f^2*g - 648*a^2*b*c^6*d*e^9*f^2*g - 468*a*b^3*c^5*d*e^9*f^2*g + 981*a^2*b^2*c^5*d^2*e^8*g^3 - 540*b^3*c^6*d^3*e^7*f^2*g + 468*b^2*c^7*d^4*e^6*f^2*g - 459*b^4*c^5*d^2*e^8*f^2*g - 438*b^2*c^7*d^5*e^5*f*g^2 + 396*b^4*c^5*d^3*e^7*f*g^2 + 120*b^5*c^4*d^2*e^8*f*g^2 + 87*b^3*c^6*d^4*e^6*f*g^2 - 7452*a^2*c^7*d^2*e^8*f^2*g + 2688*a^2*c^7*d^3*e^7*f*g^2 + 1512*a^2*b^2*c^5*e^10*f^2*g + 555*a^2*b^3*c^4*e^10*f*g^2 - 1184*a^2*b*c^6*d^3*e^7*g^3 + 796*a*b^3*c^5*d^3*e^7*g^3 - 360*a*b^4*c^4*d^2*e^8*g^3 - 350*a^2*b^3*c^4*d*e^9*g^3 + 7*a*b^2*c^6*d^4*e^6*g^3 + 216*b*c^8*d^5*e^5*f^2*g + 180*b*c^8*d^6*e^4*f*g^2 - 120*b^6*c^3*d*e^9*f*g^2 + 90*b^5*c^4*d*e^9*f^2*g - 1332*a*c^8*d^4*e^6*f^2*g + 1008*a^3*c^6*d*e^9*f*g^2 + 240*a*c^8*d^5*e^5*f*g^2 - 1404*a^3*b*c^5*e^10*f*g^2 - 765*a*b^4*c^4*e^10*f^2*g - 60*a*b^5*c^3*e^10*f*g^2 + 760*a^3*b*c^5*d*e^9*g^3 - 120*a*b*c^7*d^5*e^5*g^3 + 40*a*b^5*c^3*d*e^9*g^3 - 1944*a*b*c^7*d^2*e^8*f^3 - 1728*a*b^2*c^6*d*e^9*f^3 - 180*c^9*d^6*e^4*f^2*g + 90*b^6*c^3*e^10*f^2*g + 900*a^3*c^6*e^10*f^2*g - 540*b*c^8*d^4*e^6*f^3 + 162*b^4*c^5*d*e^9*f^3 + 5400*a^2*c^7*d*e^9*f^3 + 1296*a*c^8*d^3*e^7*f^3 - 2700*a^2*b*c^6*e^10*f^3 + 1188*a*b^3*c^5*e^10*f^3 + 138*b^3*c^6*d^5*e^5*g^3 - 98*b^4*c^5*d^4*e^6*g^3 - 80*b^5*c^4*d^3*e^7*g^3 - 45*b^2*c^7*d^6*e^4*g^3 + 40*b^6*c^3*d^2*e^8*g^3 - 1264*a^3*c^6*d^2*e^8*g^3 + 216*b^3*c^6*d^2*e^8*f^3 + 216*b^2*c^7*d^3*e^7*f^3 - 80*a^2*c^7*d^4*e^6*g^3 - 95*a^3*b^2*c^4*e^10*g^3 + 10*a^2*b^4*c^3*e^10*g^3 + 216*c^9*d^5*e^5*f^3 + 256*a^4*c^5*e^10*g^3 - 135*b^5*c^4*e^10*f^3, z, k), k, 1, 3) + ((b^6*d^2*e^3*f - 8*a^2*c^4*d^5*g - 32*a^4*c^2*e^5*f - b^3*c^3*d^5*f - 2*a^2*b^4*e^5*f + 10*a*b*c^4*d^5*f - 5*a*b^5*d*e^4*f - a*b^2*c^3*d^5*g + 16*a^3*b^2*c*e^5*f + a*b^5*d^2*e^3*g + 5*a^2*b^4*d*e^4*g + 16*a^2*c^4*d^4*e*f + 56*a^4*c^2*d*e^4*g + 3*b^4*c^2*d^4*e*f - 3*b^5*c*d^3*e^2*f + 80*a^3*c^3*d^2*e^3*f - 48*a^3*c^3*d^3*e^2*g + 21*a*b^3*c^2*d^3*e^2*f - 9*a^2*b^3*c*d^2*e^3*g + 44*a^3*b*c^2*d^2*e^3*g - 56*a^2*b^2*c^2*d^2*e^3*f + 6*a^2*b^2*c^2*d^3*e^2*g - 28*a*b^2*c^3*d^4*e*f + 2*a*b^4*c*d^2*e^3*f + 36*a^2*b^3*c*d*e^4*f - 58*a^3*b*c^2*d*e^4*f + 3*a*b^3*c^2*d^4*e*g - 3*a*b^4*c*d^3*e^2*g + 12*a^2*b*c^3*d^4*e*g - 37*a^3*b^2*c*d*e^4*g)/(2*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)) - (x^4*(30*a^2*c^4*e^5*f + 3*b^4*c^2*e^5*f - 6*c^6*d^4*e*f + 3*b*c^5*d^4*e*g - 21*a*b^2*c^3*e^5*f - a*b^3*c^2*e^5*g + 7*a^2*b*c^3*e^5*g - 24*a*c^5*d^2*e^3*f + 4*a*c^5*d^3*e^2*g + 12*b*c^5*d^3*e^2*f - 44*a^2*c^4*d*e^4*g - 3*b^3*c^3*d*e^4*f - 2*b^4*c^2*d*e^4*g - 3*b^2*c^4*d^2*e^3*f - 7*b^2*c^4*d^3*e^2*g + 3*b^3*c^3*d^2*e^3*g + 24*a*b*c^4*d*e^4*f + 6*a*b*c^4*d^2*e^3*g + 13*a*b^2*c^3*d*e^4*g))/(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3) - (x^2*(6*b^6*e^5*f + 100*a^3*c^3*e^5*f + 9*b^2*c^4*d^5*g - 2*a*b^5*e^5*g - 18*b*c^5*d^5*f - 4*b^6*d*e^4*g - 36*a*b^4*c*e^5*f - 20*a*c^5*d^4*e*f + 12*a^2*b^3*c*e^5*g + 2*a^3*b*c^2*e^5*g - 152*a^3*c^3*d*e^4*g + 32*b^2*c^4*d^4*e*f - 19*b^3*c^3*d^4*e*g + 2*b^5*c*d^2*e^3*g + 14*a^2*b^2*c^2*e^5*f - 112*a^2*c^4*d^2*e^3*f + 40*a^2*c^4*d^3*e^2*g - b^3*c^3*d^3*e^2*f - 13*b^4*c^2*d^2*e^3*f + 6*b^4*c^2*d^3*e^2*g + 62*a*b^2*c^3*d^2*e^3*f - 16*a*b^2*c^3*d^3*e^2*g + 5*a*b^3*c^2*d^2*e^3*g - 16*a^2*b*c^3*d^2*e^3*g - 5*a^2*b^2*c^2*d*e^4*g + 22*a*b*c^4*d^4*e*g + 20*a*b^4*c*d*e^4*g - 32*a*b*c^4*d^3*e^2*f - a*b^3*c^2*d*e^4*f + 58*a^2*b*c^3*d*e^4*f))/(2*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)) + (x^3*(12*c^6*d^5*f + 16*a^3*c^3*e^5*g - 6*b*c^5*d^5*g - 12*b^5*c*e^5*f + 4*a*b^4*c*e^5*g - 8*a*c^5*d^4*e*g - 6*b*c^5*d^4*e*f + 8*b^5*c*d*e^4*g + 87*a*b^3*c^2*e^5*f - 138*a^2*b*c^3*e^5*f + 48*a*c^5*d^3*e^2*f + 36*a^2*c^4*d*e^4*f + 9*b^4*c^2*d*e^4*f + 5*b^2*c^4*d^4*e*g - 29*a^2*b^2*c^2*e^5*g + 8*a^2*c^4*d^2*e^3*g - 30*b^2*c^4*d^3*e^2*f + 15*b^3*c^3*d^2*e^3*f + 15*b^3*c^3*d^3*e^2*g - 10*b^4*c^2*d^2*e^3*g - 4*a*b^2*c^3*d^2*e^3*g + 24*a*b*c^4*d^2*e^3*f - 78*a*b^2*c^3*d*e^4*f - 24*a*b*c^4*d^3*e^2*g - 53*a*b^3*c^2*d*e^4*g + 150*a^2*b*c^3*d*e^4*g))/(2*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)) + (x*(3*a^2*b^4*e^5*g + 4*b^2*c^4*d^5*f + 24*a^4*c^2*e^5*g - 2*b^3*c^3*d^5*g + 2*b^6*d^2*e^3*g - 9*a*b^5*e^5*f + 20*a*c^5*d^5*f - 3*b^6*d*e^4*f - 10*a*b*c^4*d^5*g + 7*a*b^5*d*e^4*g + 68*a^2*b^3*c*e^5*f - 122*a^3*b*c^2*e^5*f - 21*a^3*b^2*c*e^5*g + 44*a^3*c^3*d*e^4*f - 9*b^3*c^3*d^4*e*f + 5*b^5*c*d^2*e^3*f + 6*b^4*c^2*d^4*e*g - 6*b^5*c*d^3*e^2*g + 64*a^2*c^4*d^3*e^2*f + 24*a^3*c^3*d^2*e^3*g + 3*b^4*c^2*d^3*e^2*f + 14*a*b^2*c^3*d^3*e^2*f - 33*a*b^3*c^2*d^2*e^3*f + 16*a^2*b*c^3*d^2*e^3*f - 70*a^2*b^2*c^2*d*e^4*f + 21*a*b^3*c^2*d^3*e^2*g - 72*a^2*b*c^3*d^3*e^2*g - 30*a*b*c^4*d^4*e*f + 26*a*b^4*c*d*e^4*f + 40*a^2*b^2*c^2*d^2*e^3*g + 9*a*b^2*c^3*d^4*e*g - 15*a*b^4*c*d^2*e^3*g - 53*a^2*b^3*c*d*e^4*g + 106*a^3*b*c^2*d*e^4*g))/(2*(16*a^2*c^5*d^6 + a^3*b^4*e^6 + 16*a^5*c^2*e^6 + b^4*c^3*d^6 - b^7*d^3*e^3 - 8*a*b^2*c^4*d^6 - 8*a^4*b^2*c*e^6 + 3*a*b^6*d^2*e^4 - 3*a^2*b^5*d*e^5 - 3*b^5*c^2*d^5*e + 3*b^6*c*d^4*e^2 + 48*a^3*c^4*d^4*e^2 + 48*a^4*c^3*d^2*e^4 + 24*a^2*b^2*c^3*d^4*e^2 + 32*a^2*b^3*c^2*d^3*e^3 + 24*a^3*b^2*c^2*d^2*e^4 + 24*a*b^3*c^3*d^5*e + 2*a*b^5*c*d^3*e^3 - 48*a^2*b*c^4*d^5*e + 24*a^3*b^3*c*d*e^5 - 48*a^4*b*c^2*d*e^5 - 21*a*b^4*c^2*d^4*e^2 - 21*a^2*b^4*c*d^2*e^4 - 96*a^3*b*c^3*d^3*e^3)))/(x^2*(b^2*d + 2*a*b*e + 2*a*c*d) + x^3*(b^2*e + 2*a*c*e + 2*b*c*d) + x*(a^2*e + 2*a*b*d) + a^2*d + x^4*(c^2*d + 2*b*c*e) + c^2*e*x^5)","B"
2378,1,31,43,0.053600,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{11576\,x}{81}-6\,\ln\left(x+1\right)+\frac{10625\,\ln\left(x+\frac{2}{3}\right)}{243}+\frac{1156\,x^2}{27}+\frac{32\,x^3}{27}-\frac{4\,x^4}{3}","Not used",1,"(11576*x)/81 - 6*log(x + 1) + (10625*log(x + 2/3))/243 + (1156*x^2)/27 + (32*x^3)/27 - (4*x^4)/3","B"
2379,1,26,36,2.305028,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{922\,x}{27}-6\,\ln\left(x+1\right)+\frac{2125\,\ln\left(x+\frac{2}{3}\right)}{81}+\frac{26\,x^2}{9}-\frac{8\,x^3}{9}","Not used",1,"(922*x)/27 - 6*log(x + 1) + (2125*log(x + 2/3))/81 + (26*x^2)/9 - (8*x^3)/9","B"
2380,1,21,29,0.033662,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{44\,x}{9}-6\,\ln\left(x+1\right)+\frac{425\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{2\,x^2}{3}","Not used",1,"(44*x)/9 - 6*log(x + 1) + (425*log(x + 2/3))/27 - (2*x^2)/3","B"
2381,1,16,22,0.037965,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{85\,\ln\left(x+\frac{2}{3}\right)}{9}-6\,\ln\left(x+1\right)-\frac{2\,x}{3}","Not used",1,"(85*log(x + 2/3))/9 - 6*log(x + 1) - (2*x)/3","B"
2382,1,13,17,2.322653,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2),x)","\frac{17\,\ln\left(x+\frac{2}{3}\right)}{3}-6\,\ln\left(x+1\right)","Not used",1,"(17*log(x + 2/3))/3 - 6*log(x + 1)","B"
2383,1,19,27,0.052801,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)),x)","\frac{17\,\ln\left(x+\frac{2}{3}\right)}{5}-6\,\ln\left(x+1\right)+\frac{13\,\ln\left(x+\frac{3}{2}\right)}{5}","Not used",1,"(17*log(x + 2/3))/5 - 6*log(x + 1) + (13*log(x + 3/2))/5","B"
2384,1,28,38,2.288790,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)),x)","\frac{51\,\ln\left(x+\frac{2}{3}\right)}{25}-6\,\ln\left(x+1\right)+\frac{99\,\ln\left(x+\frac{3}{2}\right)}{25}-\frac{13}{10\,\left(x+\frac{3}{2}\right)}","Not used",1,"(51*log(x + 2/3))/25 - 6*log(x + 1) + (99*log(x + 3/2))/25 - 13/(10*(x + 3/2))","B"
2385,1,36,49,0.041539,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)),x)","\frac{153\,\ln\left(x+\frac{2}{3}\right)}{125}-6\,\ln\left(x+1\right)+\frac{597\,\ln\left(x+\frac{3}{2}\right)}{125}-\frac{\frac{99\,x}{50}+\frac{659}{200}}{x^2+3\,x+\frac{9}{4}}","Not used",1,"(153*log(x + 2/3))/125 - 6*log(x + 1) + (597*log(x + 3/2))/125 - ((99*x)/50 + 659/200)/(3*x + x^2 + 9/4)","B"
2386,1,46,60,0.041042,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)),x)","\frac{459\,\ln\left(x+\frac{2}{3}\right)}{625}-6\,\ln\left(x+1\right)+\frac{3291\,\ln\left(x+\frac{3}{2}\right)}{625}-\frac{\frac{597\,x^2}{250}+\frac{7659\,x}{1000}+\frac{37343}{6000}}{x^3+\frac{9\,x^2}{2}+\frac{27\,x}{4}+\frac{27}{8}}","Not used",1,"(459*log(x + 2/3))/625 - 6*log(x + 1) + (3291*log(x + 3/2))/625 - ((7659*x)/1000 + (597*x^2)/250 + 37343/6000)/((27*x)/4 + (9*x^2)/2 + x^3 + 27/8)","B"
2387,1,38,50,0.039022,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","\frac{112\,x}{27}+83\,\ln\left(x+1\right)-\frac{1625\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{\frac{12083\,x}{243}+\frac{11597}{243}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}-\frac{8\,x^2}{9}","Not used",1,"(112*x)/27 + 83*log(x + 1) - (1625*log(x + 2/3))/27 - ((12083*x)/243 + 11597/243)/((5*x)/3 + x^2 + 2/3) - (8*x^2)/9","B"
2388,1,33,43,2.258384,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","71\,\ln\left(x+1\right)-\frac{8\,x}{9}-\frac{1825\,\ln\left(x+\frac{2}{3}\right)}{27}-\frac{\frac{2611\,x}{81}+\frac{2449}{81}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}","Not used",1,"71*log(x + 1) - (8*x)/9 - (1825*log(x + 2/3))/27 - ((2611*x)/81 + 2449/81)/((5*x)/3 + x^2 + 2/3)","B"
2389,1,30,38,0.049658,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","59\,\ln\left(x+1\right)-\frac{535\,\ln\left(x+\frac{2}{3}\right)}{9}-\frac{\frac{587\,x}{27}+\frac{533}{27}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}","Not used",1,"59*log(x + 1) - (535*log(x + 2/3))/9 - ((587*x)/27 + 533/27)/((5*x)/3 + x^2 + 2/3)","B"
2390,1,26,36,2.269636,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","94\,\mathrm{atanh}\left(6\,x+5\right)-\frac{\frac{139\,x}{9}+\frac{121}{9}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}","Not used",1,"94*atanh(6*x + 5) - ((139*x)/9 + 121/9)/((5*x)/3 + x^2 + 2/3)","B"
2391,1,26,34,2.260530,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2)^2,x)","70\,\mathrm{atanh}\left(6\,x+5\right)-\frac{\frac{35\,x}{3}+\frac{29}{3}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}","Not used",1,"70*atanh(6*x + 5) - ((35*x)/3 + 29/3)/((5*x)/3 + x^2 + 2/3)","B"
2392,1,36,48,0.039904,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^2),x)","23\,\ln\left(x+1\right)-\frac{627\,\ln\left(x+\frac{2}{3}\right)}{25}+\frac{52\,\ln\left(x+\frac{3}{2}\right)}{25}-\frac{\frac{47\,x}{5}+\frac{37}{5}}{x^2+\frac{5\,x}{3}+\frac{2}{3}}","Not used",1,"23*log(x + 1) - (627*log(x + 2/3))/25 + (52*log(x + 3/2))/25 - ((47*x)/5 + 37/5)/((5*x)/3 + x^2 + 2/3)","B"
2393,1,46,66,2.322101,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^2),x)","11\,\ln\left(x+1\right)-\frac{2187\,\ln\left(x+\frac{2}{3}\right)}{125}+\frac{812\,\ln\left(x+\frac{3}{2}\right)}{125}-\frac{\frac{227\,x^2}{25}+\frac{119\,x}{6}+\frac{1463}{150}}{x^3+\frac{19\,x^2}{6}+\frac{19\,x}{6}+1}","Not used",1,"11*log(x + 1) - (2187*log(x + 2/3))/125 + (812*log(x + 3/2))/125 - ((119*x)/6 + (227*x^2)/25 + 1463/150)/((19*x)/6 + (19*x^2)/6 + x^3 + 1)","B"
2394,1,56,77,2.314948,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^2),x)","\frac{8104\,\ln\left(x+\frac{3}{2}\right)}{625}-\frac{7479\,\ln\left(x+\frac{2}{3}\right)}{625}-\ln\left(x+1\right)-\frac{\frac{1309\,x^3}{125}+\frac{28081\,x^2}{750}+\frac{63967\,x}{1500}+\frac{22763}{1500}}{x^4+\frac{14\,x^3}{3}+\frac{95\,x^2}{12}+\frac{23\,x}{4}+\frac{3}{2}}","Not used",1,"(8104*log(x + 3/2))/625 - (7479*log(x + 2/3))/625 - log(x + 1) - ((63967*x)/1500 + (28081*x^2)/750 + (1309*x^3)/125 + 22763/1500)/((23*x)/4 + (95*x^2)/12 + (14*x^3)/3 + x^4 + 3/2)","B"
2395,1,66,88,2.365567,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^2),x)","\frac{65816\,\ln\left(x+\frac{3}{2}\right)}{3125}-\frac{25191\,\ln\left(x+\frac{2}{3}\right)}{3125}-13\,\ln\left(x+1\right)-\frac{\frac{8261\,x^4}{625}+\frac{123949\,x^3}{1875}+\frac{90559\,x^2}{750}+\frac{4260599\,x}{45000}+\frac{1195793}{45000}}{x^5+\frac{37\,x^4}{6}+\frac{179\,x^3}{12}+\frac{141\,x^2}{8}+\frac{81\,x}{8}+\frac{9}{4}}","Not used",1,"(65816*log(x + 3/2))/3125 - (25191*log(x + 2/3))/3125 - 13*log(x + 1) - ((4260599*x)/45000 + (90559*x^2)/750 + (123949*x^3)/1875 + (8261*x^4)/625 + 1195793/45000)/((81*x)/8 + (141*x^2)/8 + (179*x^3)/12 + (37*x^4)/6 + x^5 + 9/4)","B"
2396,1,52,64,2.439280,"\text{Not used}","int(-((2*x + 3)^5*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{29375\,\ln\left(x+\frac{2}{3}\right)}{27}-1085\,\ln\left(x+1\right)-\frac{32\,x}{27}+\frac{\frac{9301\,x^3}{27}+\frac{1235675\,x^2}{1458}+\frac{489989\,x}{729}+\frac{247043}{1458}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}","Not used",1,"(29375*log(x + 2/3))/27 - 1085*log(x + 1) - (32*x)/27 + ((489989*x)/729 + (1235675*x^2)/1458 + (9301*x^3)/27 + 247043/1458)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9)","B"
2397,1,49,59,2.447195,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{23825\,\ln\left(x+\frac{2}{3}\right)}{27}-883\,\ln\left(x+1\right)+\frac{\frac{23681\,x^3}{81}+\frac{39263\,x^2}{54}+\frac{1759\,x}{3}+\frac{24613}{162}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}","Not used",1,"(23825*log(x + 2/3))/27 - 883*log(x + 1) + ((1759*x)/3 + (39263*x^2)/54 + (23681*x^3)/81 + 24613/162)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9)","B"
2398,1,45,69,0.047782,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{\frac{6353\,x^3}{27}+\frac{95203\,x^2}{162}+\frac{38665\,x}{81}+\frac{20299}{162}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}-1410\,\mathrm{atanh}\left(6\,x+5\right)","Not used",1,"((38665*x)/81 + (95203*x^2)/162 + (6353*x^3)/27 + 20299/162)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9) - 1410*atanh(6*x + 5)","B"
2399,1,45,57,2.837139,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{\frac{551\,x^3}{3}+\frac{24799\,x^2}{54}+\frac{10099\,x}{27}+\frac{5335}{54}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}-1102\,\mathrm{atanh}\left(6\,x+5\right)","Not used",1,"((10099*x)/27 + (24799*x^2)/54 + (551*x^3)/3 + 5335/54)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9) - 1102*atanh(6*x + 5)","B"
2400,1,45,57,2.301924,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{\frac{421\,x^3}{3}+\frac{2105\,x^2}{6}+\frac{2573\,x}{9}+\frac{1363}{18}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}-842\,\mathrm{atanh}\left(6\,x+5\right)","Not used",1,"((2573*x)/9 + (2105*x^2)/6 + (421*x^3)/3 + 1363/18)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9) - 842*atanh(6*x + 5)","B"
2401,1,45,57,0.045227,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2)^3,x)","\frac{105\,x^3+\frac{525\,x^2}{2}+\frac{1925\,x}{9}+\frac{1021}{18}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}-630\,\mathrm{atanh}\left(6\,x+5\right)","Not used",1,"((1925*x)/9 + (525*x^2)/2 + 105*x^3 + 1021/18)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9) - 630*atanh(6*x + 5)","B"
2402,1,55,69,2.320596,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^3),x)","\frac{28917\,\ln\left(x+\frac{2}{3}\right)}{125}-233\,\ln\left(x+1\right)+\frac{208\,\ln\left(x+\frac{3}{2}\right)}{125}+\frac{\frac{1907\,x^3}{25}+\frac{28657\,x^2}{150}+\frac{35057\,x}{225}+\frac{18619}{450}}{x^4+\frac{10\,x^3}{3}+\frac{37\,x^2}{9}+\frac{20\,x}{9}+\frac{4}{9}}","Not used",1,"(28917*log(x + 2/3))/125 - 233*log(x + 1) + (208*log(x + 3/2))/125 + ((35057*x)/225 + (28657*x^2)/150 + (1907*x^3)/25 + 18619/450)/((20*x)/9 + (37*x^2)/9 + (10*x^3)/3 + x^4 + 4/9)","B"
2403,1,65,94,0.044633,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^3),x)","\frac{104463\,\ln\left(x+\frac{2}{3}\right)}{625}-175\,\ln\left(x+1\right)+\frac{4912\,\ln\left(x+\frac{3}{2}\right)}{625}+\frac{\frac{6473\,x^4}{125}+\frac{15658\,x^3}{75}+\frac{1368599\,x^2}{4500}+\frac{14252\,x}{75}+\frac{193723}{4500}}{x^5+\frac{29\,x^4}{6}+\frac{82\,x^3}{9}+\frac{151\,x^2}{18}+\frac{34\,x}{9}+\frac{2}{3}}","Not used",1,"(104463*log(x + 2/3))/625 - 175*log(x + 1) + (4912*log(x + 3/2))/625 + ((14252*x)/75 + (1368599*x^2)/4500 + (15658*x^3)/75 + (6473*x^4)/125 + 193723/4500)/((34*x)/9 + (151*x^2)/18 + (82*x^3)/9 + (29*x^4)/6 + x^5 + 2/3)","B"
2404,1,75,105,2.293678,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^3),x)","\frac{372033\,\ln\left(x+\frac{2}{3}\right)}{3125}-141\,\ln\left(x+1\right)+\frac{68592\,\ln\left(x+\frac{3}{2}\right)}{3125}+\frac{\frac{17943\,x^5}{625}+\frac{203089\,x^4}{1250}+\frac{2682743\,x^3}{7500}+\frac{5726989\,x^2}{15000}+\frac{4435823\,x}{22500}+\frac{1771579}{45000}}{x^6+\frac{19\,x^5}{3}+\frac{589\,x^4}{36}+\frac{397\,x^3}{18}+\frac{589\,x^2}{36}+\frac{19\,x}{3}+1}","Not used",1,"(372033*log(x + 2/3))/3125 - 141*log(x + 1) + (68592*log(x + 3/2))/3125 + ((4435823*x)/22500 + (5726989*x^2)/15000 + (2682743*x^3)/7500 + (203089*x^4)/1250 + (17943*x^5)/625 + 1771579/45000)/((19*x)/3 + (589*x^2)/36 + (397*x^3)/18 + (589*x^4)/36 + (19*x^5)/3 + x^6 + 1)","B"
2405,1,20,33,0.038325,"\text{Not used}","int((x*(x + 1)^2)/(x + x^2 + 1)^3,x)","-\frac{3\,x^2+4\,x+2}{6\,{\left(x^2+x+1\right)}^2}","Not used",1,"-(4*x + 3*x^2 + 2)/(6*(x + x^2 + 1)^2)","B"
2406,1,170,160,3.647847,"\text{Not used}","int(-(2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","\frac{5542\,x^2\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{315}+\frac{52\,x^3\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{189}-\frac{16\,x^4\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{21}-\frac{118159\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{27216}+\frac{118159\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}}{378}+\frac{2654033\,\sqrt{3\,x^2+5\,x+2}\,\left(72\,x^2+30\,x-27\right)}{1632960}+\frac{34931\,x\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{756}+\frac{2654033\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(6\,x+5\right)}{3}\right)}{653184}","Not used",1,"(5542*x^2*(5*x + 3*x^2 + 2)^(3/2))/315 + (52*x^3*(5*x + 3*x^2 + 2)^(3/2))/189 - (16*x^4*(5*x + 3*x^2 + 2)^(3/2))/21 - (118159*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/27216 + (118159*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2))/378 + (2654033*(5*x + 3*x^2 + 2)^(1/2)*(30*x + 72*x^2 - 27))/1632960 + (34931*x*(5*x + 3*x^2 + 2)^(3/2))/756 + (2654033*3^(1/2)*log(2*(5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(6*x + 5))/3))/653184","B"
2407,1,153,135,3.469658,"\text{Not used}","int(-(2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","\frac{14\,x^2\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{15}-\frac{4\,x^3\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{9}-\frac{2093\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{1296}+\frac{2093\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}}{18}+\frac{44011\,\sqrt{3\,x^2+5\,x+2}\,\left(72\,x^2+30\,x-27\right)}{77760}+\frac{337\,x\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{36}+\frac{44011\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(6\,x+5\right)}{3}\right)}{31104}","Not used",1,"(14*x^2*(5*x + 3*x^2 + 2)^(3/2))/15 - (4*x^3*(5*x + 3*x^2 + 2)^(3/2))/9 - (2093*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/1296 + (2093*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2))/18 + (44011*(5*x + 3*x^2 + 2)^(1/2)*(30*x + 72*x^2 - 27))/77760 + (337*x*(5*x + 3*x^2 + 2)^(3/2))/36 + (44011*3^(1/2)*log(2*(5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(6*x + 5))/3))/31104","B"
2408,1,136,110,3.508345,"\text{Not used}","int(-(2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","\frac{386\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}}{9}-\frac{193\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{324}-\frac{4\,x^2\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{15}+\frac{6997\,\sqrt{3\,x^2+5\,x+2}\,\left(72\,x^2+30\,x-27\right)}{38880}+\frac{19\,x\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{18}+\frac{6997\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(6\,x+5\right)}{3}\right)}{15552}","Not used",1,"(386*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2))/9 - (193*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/324 - (4*x^2*(5*x + 3*x^2 + 2)^(3/2))/15 + (6997*(5*x + 3*x^2 + 2)^(1/2)*(30*x + 72*x^2 - 27))/38880 + (19*x*(5*x + 3*x^2 + 2)^(3/2))/18 + (6997*3^(1/2)*log(2*(5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(6*x + 5))/3))/15552","B"
2409,1,119,85,0.698148,"\text{Not used}","int(-(2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","\frac{46\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}}{3}-\frac{23\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{108}+\frac{109\,\sqrt{3\,x^2+5\,x+2}\,\left(72\,x^2+30\,x-27\right)}{2592}-\frac{x\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{6}+\frac{545\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(6\,x+5\right)}{3}\right)}{5184}","Not used",1,"(46*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2))/3 - (23*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/108 + (109*(5*x + 3*x^2 + 2)^(1/2)*(30*x + 72*x^2 - 27))/2592 - (x*(5*x + 3*x^2 + 2)^(3/2))/6 + (545*3^(1/2)*log(2*(5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(6*x + 5))/3))/5184","B"
2410,1,104,80,2.663746,"\text{Not used}","int(-(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","5\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}-\frac{5\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{72}-\frac{\sqrt{3\,x^2+5\,x+2}\,\left(72\,x^2+30\,x-27\right)}{216}-\frac{5\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(6\,x+5\right)}{3}\right)}{432}","Not used",1,"5*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2) - (5*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/72 - ((5*x + 3*x^2 + 2)^(1/2)*(30*x + 72*x^2 - 27))/216 - (5*3^(1/2)*log(2*(5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(6*x + 5))/3))/432","B"
2411,0,-1,100,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{2\,x+3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3), x)","F"
2412,0,-1,105,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^2,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^2} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^2, x)","F"
2413,0,-1,107,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^3,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^3, x)","F"
2414,0,-1,94,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^4,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^4} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^4, x)","F"
2415,0,-1,119,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^5,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^5} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^5, x)","F"
2416,0,-1,144,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^6,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^6} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^6, x)","F"
2417,0,-1,169,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^7,x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^7} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^7, x)","F"
2418,0,-1,183,0.000000,"\text{Not used}","int(-(2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int {\left(2\,x+3\right)}^4\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2419,0,-1,158,0.000000,"\text{Not used}","int(-(2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int {\left(2\,x+3\right)}^3\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2420,0,-1,133,0.000000,"\text{Not used}","int(-(2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int {\left(2\,x+3\right)}^2\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2421,0,-1,108,0.000000,"\text{Not used}","int(-(2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int \left(2\,x+3\right)\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2422,1,130,103,2.870310,"\text{Not used}","int(-(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","\frac{35\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{6912}-\frac{5\,\left(6\,x+5\right)\,\sqrt{3\,x^2+5\,x+2}}{1152}+\frac{5\,\left(3\,x+\frac{5}{2}\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{12}-\frac{5\,\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}}{16}+\frac{5\,x\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{24}+\frac{25\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{144}-\frac{{\left(3\,x^2+5\,x+2\right)}^{5/2}}{15}","Not used",1,"(35*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/6912 - (5*(6*x + 5)*(5*x + 3*x^2 + 2)^(1/2))/1152 + (5*(3*x + 5/2)*(5*x + 3*x^2 + 2)^(3/2))/12 - (5*(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2))/16 + (5*x*(5*x + 3*x^2 + 2)^(3/2))/24 + (25*(5*x + 3*x^2 + 2)^(3/2))/144 - (5*x + 3*x^2 + 2)^(5/2)/15","B"
2423,0,-1,123,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{2\,x+3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3), x)","F"
2424,0,-1,128,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^2,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^2} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^2, x)","F"
2425,0,-1,135,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^3,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^3, x)","F"
2426,0,-1,137,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^4,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^4} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^4, x)","F"
2427,0,-1,137,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^5,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^5} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^5, x)","F"
2428,0,-1,124,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^6,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^6} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^6, x)","F"
2429,0,-1,149,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^7,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^7} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^7, x)","F"
2430,0,-1,174,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^8,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^8} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^8, x)","F"
2431,0,-1,199,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^9,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^9} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^9, x)","F"
2432,0,-1,206,0.000000,"\text{Not used}","int(-(2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int {\left(2\,x+3\right)}^4\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2433,0,-1,181,0.000000,"\text{Not used}","int(-(2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int {\left(2\,x+3\right)}^3\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2434,0,-1,156,0.000000,"\text{Not used}","int(-(2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int {\left(2\,x+3\right)}^2\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2435,0,-1,131,0.000000,"\text{Not used}","int(-(2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int \left(2\,x+3\right)\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2436,0,-1,126,0.000000,"\text{Not used}","int(-(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","\int -\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"int(-(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2437,0,-1,146,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{2\,x+3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3), x)","F"
2438,0,-1,151,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^2,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^2} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^2, x)","F"
2439,0,-1,160,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^3,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^3, x)","F"
2440,0,-1,165,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^4,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^4} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^4, x)","F"
2441,0,-1,167,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^5,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^5} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^5, x)","F"
2442,0,-1,167,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^6,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^6} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^6, x)","F"
2443,0,-1,167,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^7,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^7} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^7, x)","F"
2444,0,-1,154,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^8,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^8} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^8, x)","F"
2445,0,-1,179,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^9,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^9} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^9, x)","F"
2446,0,-1,204,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^10,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{10}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^10, x)","F"
2447,0,-1,229,0.000000,"\text{Not used}","int(-(2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(7/2),x)","-\int {\left(2\,x+3\right)}^4\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2} \,d x","Not used",1,"-int((2*x + 3)^4*(x - 5)*(5*x + 3*x^2 + 2)^(7/2), x)","F"
2448,0,-1,204,0.000000,"\text{Not used}","int(-(2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(7/2),x)","-\int {\left(2\,x+3\right)}^3\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2} \,d x","Not used",1,"-int((2*x + 3)^3*(x - 5)*(5*x + 3*x^2 + 2)^(7/2), x)","F"
2449,0,-1,179,0.000000,"\text{Not used}","int(-(2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(7/2),x)","-\int {\left(2\,x+3\right)}^2\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2} \,d x","Not used",1,"-int((2*x + 3)^2*(x - 5)*(5*x + 3*x^2 + 2)^(7/2), x)","F"
2450,0,-1,154,0.000000,"\text{Not used}","int(-(2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(7/2),x)","-\int \left(2\,x+3\right)\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2} \,d x","Not used",1,"-int((2*x + 3)*(x - 5)*(5*x + 3*x^2 + 2)^(7/2), x)","F"
2451,0,-1,149,0.000000,"\text{Not used}","int(-(x - 5)*(5*x + 3*x^2 + 2)^(7/2),x)","\int -\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2} \,d x","Not used",1,"int(-(x - 5)*(5*x + 3*x^2 + 2)^(7/2), x)","F"
2452,0,-1,169,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{2\,x+3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3), x)","F"
2453,0,-1,174,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^2,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^2} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^2, x)","F"
2454,0,-1,181,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^3,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^3} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^3, x)","F"
2455,0,-1,190,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^4,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^4} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^4, x)","F"
2456,0,-1,195,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^5,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^5} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^5, x)","F"
2457,0,-1,197,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^6,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^6} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^6, x)","F"
2458,0,-1,197,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^7,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^7} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^7, x)","F"
2459,0,-1,197,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^8,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^8} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^8, x)","F"
2460,0,-1,197,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^9,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^9} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^9, x)","F"
2461,0,-1,184,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^10,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^{10}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^10, x)","F"
2462,0,-1,209,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^11,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^{11}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^11, x)","F"
2463,0,-1,234,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^12,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^{12}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^12, x)","F"
2464,0,-1,259,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^13,x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{7/2}}{{\left(2\,x+3\right)}^{13}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(7/2))/(2*x + 3)^13, x)","F"
2465,0,-1,407,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(1/2), x)","F"
2466,0,-1,234,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(1/2), x)","F"
2467,0,-1,116,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\left(d+e\,x\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2)^(1/2), x)","F"
2468,1,80,67,2.656511,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(1/2),x)","\frac{B\,\sqrt{c\,x^2+b\,x+a}}{c}+\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{\sqrt{c}}-\frac{B\,b\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{2\,c^{3/2}}","Not used",1,"(B*(a + b*x + c*x^2)^(1/2))/c + (A*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(1/2) - (B*b*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/(2*c^(3/2))","B"
2469,0,-1,132,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(1/2)), x)","F"
2470,0,-1,150,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^2\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(1/2)), x)","F"
2471,0,-1,271,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^3\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^3*(a + b*x + c*x^2)^(1/2)), x)","F"
2472,0,-1,444,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^4*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^4\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^4*(a + b*x + c*x^2)^(1/2)), x)","F"
2473,0,-1,325,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(3/2), x)","F"
2474,0,-1,210,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^2}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(3/2), x)","F"
2475,1,163,126,3.281103,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2)^(3/2),x)","\frac{B\,e\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{c^{3/2}}-\frac{4\,A\,a\,e-2\,A\,b\,d+2\,A\,b\,e\,x-4\,A\,c\,d\,x}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}-\frac{B\,d\,\left(4\,a+2\,b\,x\right)}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{B\,e\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(B*e*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(3/2) - (4*A*a*e - 2*A*b*d + 2*A*b*e*x - 4*A*c*d*x)/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) - (B*d*(4*a + 2*b*x))/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) + (B*e*((a*b)/2 - x*(a*c - b^2/2)))/(c*(a*c - b^2/4)*(a + b*x + c*x^2)^(1/2))","B"
2476,1,44,45,2.509801,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(3/2),x)","\frac{2\,A\,b-4\,B\,a+4\,A\,c\,x-2\,B\,b\,x}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(2*A*b - 4*B*a + 4*A*c*x - 2*B*b*x)/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2))","B"
2477,0,-1,188,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(3/2)), x)","F"
2478,0,-1,334,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(3/2)), x)","F"
2479,0,-1,545,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^3*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^3*(a + b*x + c*x^2)^(3/2)), x)","F"
2480,0,-1,608,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^4}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(5/2), x)","F"
2481,0,-1,397,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(5/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^3}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(5/2), x)","F"
2482,1,423,121,3.093678,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(16\,B\,a^3\,e^2-16\,B\,a^2\,b\,d\,e+24\,B\,a^2\,b\,e^2\,x-8\,A\,a^2\,b\,e^2+8\,B\,a^2\,c\,d^2+16\,A\,a^2\,c\,d\,e+24\,B\,a^2\,c\,e^2\,x^2+2\,B\,a\,b^2\,d^2-24\,B\,a\,b^2\,d\,e\,x+4\,A\,a\,b^2\,d\,e+6\,B\,a\,b^2\,e^2\,x^2-12\,A\,a\,b^2\,e^2\,x+12\,B\,a\,b\,c\,d^2\,x-12\,A\,a\,b\,c\,d^2-24\,B\,a\,b\,c\,d\,e\,x^2+24\,A\,a\,b\,c\,d\,e\,x+12\,B\,a\,b\,c\,e^2\,x^3-12\,A\,a\,b\,c\,e^2\,x^2-24\,A\,a\,c^2\,d^2\,x-16\,B\,a\,c^2\,d\,e\,x^3-8\,A\,a\,c^2\,e^2\,x^3+3\,B\,b^3\,d^2\,x+A\,b^3\,d^2-6\,B\,b^3\,d\,e\,x^2+6\,A\,b^3\,d\,e\,x-B\,b^3\,e^2\,x^3-3\,A\,b^3\,e^2\,x^2+12\,B\,b^2\,c\,d^2\,x^2-6\,A\,b^2\,c\,d^2\,x-4\,B\,b^2\,c\,d\,e\,x^3+24\,A\,b^2\,c\,d\,e\,x^2-2\,A\,b^2\,c\,e^2\,x^3+8\,B\,b\,c^2\,d^2\,x^3-24\,A\,b\,c^2\,d^2\,x^2+16\,A\,b\,c^2\,d\,e\,x^3-16\,A\,c^3\,d^2\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(2*(A*b^3*d^2 + 16*B*a^3*e^2 - 8*A*a^2*b*e^2 + 2*B*a*b^2*d^2 + 8*B*a^2*c*d^2 + 3*B*b^3*d^2*x - 3*A*b^3*e^2*x^2 - 16*A*c^3*d^2*x^3 - B*b^3*e^2*x^3 - 6*A*b^2*c*d^2*x + 24*B*a^2*b*e^2*x - 6*B*b^3*d*e*x^2 - 24*A*b*c^2*d^2*x^2 + 6*B*a*b^2*e^2*x^2 - 8*A*a*c^2*e^2*x^3 + 24*B*a^2*c*e^2*x^2 + 12*B*b^2*c*d^2*x^2 - 2*A*b^2*c*e^2*x^3 + 8*B*b*c^2*d^2*x^3 - 12*A*a*b*c*d^2 + 4*A*a*b^2*d*e + 16*A*a^2*c*d*e - 16*B*a^2*b*d*e + 6*A*b^3*d*e*x - 12*A*a*b^2*e^2*x - 24*A*a*c^2*d^2*x + 12*B*a*b*c*d^2*x - 24*B*a*b^2*d*e*x - 12*A*a*b*c*e^2*x^2 + 12*B*a*b*c*e^2*x^3 + 24*A*b^2*c*d*e*x^2 + 16*A*b*c^2*d*e*x^3 - 16*B*a*c^2*d*e*x^3 - 4*B*b^2*c*d*e*x^3 + 24*A*a*b*c*d*e*x - 24*B*a*b*c*d*e*x^2))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
2483,1,246,158,2.820321,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(A\,b^3\,d+2\,A\,a\,b^2\,e+2\,B\,a\,b^2\,d+8\,A\,a^2\,c\,e-8\,B\,a^2\,b\,e+8\,B\,a^2\,c\,d+3\,A\,b^3\,e\,x+3\,B\,b^3\,d\,x-16\,A\,c^3\,d\,x^3-3\,B\,b^3\,e\,x^2-24\,A\,b\,c^2\,d\,x^2+12\,A\,b^2\,c\,e\,x^2+12\,B\,b^2\,c\,d\,x^2+8\,A\,b\,c^2\,e\,x^3-8\,B\,a\,c^2\,e\,x^3+8\,B\,b\,c^2\,d\,x^3-2\,B\,b^2\,c\,e\,x^3-12\,A\,a\,b\,c\,d-24\,A\,a\,c^2\,d\,x-6\,A\,b^2\,c\,d\,x-12\,B\,a\,b^2\,e\,x-12\,B\,a\,b\,c\,e\,x^2+12\,A\,a\,b\,c\,e\,x+12\,B\,a\,b\,c\,d\,x\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(2*(A*b^3*d + 2*A*a*b^2*e + 2*B*a*b^2*d + 8*A*a^2*c*e - 8*B*a^2*b*e + 8*B*a^2*c*d + 3*A*b^3*e*x + 3*B*b^3*d*x - 16*A*c^3*d*x^3 - 3*B*b^3*e*x^2 - 24*A*b*c^2*d*x^2 + 12*A*b^2*c*e*x^2 + 12*B*b^2*c*d*x^2 + 8*A*b*c^2*e*x^3 - 8*B*a*c^2*e*x^3 + 8*B*b*c^2*d*x^3 - 2*B*b^2*c*e*x^3 - 12*A*a*b*c*d - 24*A*a*c^2*d*x - 6*A*b^2*c*d*x - 12*B*a*b^2*e*x - 12*B*a*b*c*e*x^2 + 12*A*a*b*c*e*x + 12*B*a*b*c*d*x))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
2484,1,121,90,2.660384,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(5/2),x)","-\frac{2\,\left(8\,B\,a^2\,c+2\,B\,a\,b^2+12\,B\,a\,b\,c\,x-12\,A\,a\,b\,c-24\,A\,a\,c^2\,x+3\,B\,b^3\,x+A\,b^3+12\,B\,b^2\,c\,x^2-6\,A\,b^2\,c\,x+8\,B\,b\,c^2\,x^3-24\,A\,b\,c^2\,x^2-16\,A\,c^3\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(2*(A*b^3 - 16*A*c^3*x^3 + 2*B*a*b^2 + 8*B*a^2*c + 3*B*b^3*x - 24*A*a*c^2*x - 6*A*b^2*c*x - 24*A*b*c^2*x^2 + 12*B*b^2*c*x^2 + 8*B*b*c^2*x^3 - 12*A*a*b*c + 12*B*a*b*c*x))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
2485,0,-1,436,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(5/2)), x)","F"
2486,0,-1,746,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(5/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^2*(a + b*x + c*x^2)^(5/2)), x)","F"
2487,0,-1,1401,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^6)/(a + b*x + c*x^2)^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^6}{{\left(c\,x^2+b\,x+a\right)}^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^6)/(a + b*x + c*x^2)^(7/2), x)","F"
2488,0,-1,942,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^5)/(a + b*x + c*x^2)^(7/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^5}{{\left(c\,x^2+b\,x+a\right)}^{7/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^5)/(a + b*x + c*x^2)^(7/2), x)","F"
2489,1,7972,210,5.477824,"\text{Not used}","int(((A + B*x)*(d + e*x)^4)/(a + b*x + c*x^2)^(7/2),x)","\frac{\frac{a\,\left(\frac{b\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-30\,B\,b^2\,c\,e^4+96\,B\,b\,c^2\,d\,e^3+24\,A\,b\,c^2\,e^4-144\,B\,c^3\,d^2\,e^2-96\,A\,c^3\,d\,e^3+48\,B\,a\,c^2\,e^4\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-x\,\left(\frac{a\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-30\,B\,b^2\,c\,e^4+96\,B\,b\,c^2\,d\,e^3+24\,A\,b\,c^2\,e^4-144\,B\,c^3\,d^2\,e^2-96\,A\,c^3\,d\,e^3+48\,B\,a\,c^2\,e^4\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(4\,B\,b^3\,e^4-8\,B\,b^2\,c\,d\,e^3-2\,A\,b^2\,c\,e^4+16\,B\,a\,b\,c\,e^4+32\,B\,c^3\,d^3\,e+48\,A\,c^3\,d^2\,e^2-64\,B\,a\,c^2\,d\,e^3-16\,A\,a\,c^2\,e^4\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(-30\,B\,b^2\,c\,e^4+96\,B\,b\,c^2\,d\,e^3+24\,A\,b\,c^2\,e^4-144\,B\,c^3\,d^2\,e^2-96\,A\,c^3\,d\,e^3+48\,B\,a\,c^2\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,\left(4\,B\,b^3\,e^4-8\,B\,b^2\,c\,d\,e^3-2\,A\,b^2\,c\,e^4+16\,B\,a\,b\,c\,e^4+32\,B\,c^3\,d^3\,e+48\,A\,c^3\,d^2\,e^2-64\,B\,a\,c^2\,d\,e^3-16\,A\,a\,c^2\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}-\frac{\frac{a\,\left(\frac{-2\,B\,b^2\,c^2\,e^4+8\,B\,b\,c^3\,d\,e^3+2\,A\,b\,c^3\,e^4-24\,B\,c^4\,d^2\,e^2-16\,A\,c^4\,d\,e^3+4\,B\,a\,c^3\,e^4}{15\,c^4\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(\frac{2\,e^3\,\left(2\,A\,c\,e-B\,b\,e+8\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^4}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{4\,B\,a\,e^4}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}-x\,\left(\frac{2\,B\,b^3\,c\,e^4-8\,B\,b^2\,c^2\,d\,e^3-2\,A\,b^2\,c^2\,e^4+12\,B\,b\,c^3\,d^2\,e^2+8\,A\,b\,c^3\,d\,e^3-6\,B\,a\,b\,c^2\,e^4-16\,B\,c^4\,d^3\,e-24\,A\,c^4\,d^2\,e^2+16\,B\,a\,c^3\,d\,e^3+4\,A\,a\,c^3\,e^4}{15\,c^4\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(\frac{-2\,B\,b^2\,c^2\,e^4+8\,B\,b\,c^3\,d\,e^3+2\,A\,b\,c^3\,e^4-24\,B\,c^4\,d^2\,e^2-16\,A\,c^4\,d\,e^3+4\,B\,a\,c^3\,e^4}{15\,c^4\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(\frac{2\,e^3\,\left(2\,A\,c\,e-B\,b\,e+8\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^4}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{4\,B\,a\,e^4}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{a\,\left(\frac{2\,e^3\,\left(2\,A\,c\,e-B\,b\,e+8\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^4}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}\right)+\frac{4\,B\,a^2\,c^2\,e^4-8\,B\,a\,b^2\,c\,e^4+24\,B\,a\,b\,c^2\,d\,e^3+6\,A\,a\,b\,c^2\,e^4-24\,B\,a\,c^3\,d^2\,e^2-16\,A\,a\,c^3\,d\,e^3+2\,B\,b^4\,e^4-8\,B\,b^3\,c\,d\,e^3-2\,A\,b^3\,c\,e^4+12\,B\,b^2\,c^2\,d^2\,e^2+8\,A\,b^2\,c^2\,d\,e^3-8\,B\,b\,c^3\,d^3\,e-12\,A\,b\,c^3\,d^2\,e^2+4\,B\,c^4\,d^4+16\,A\,c^4\,d^3\,e}{15\,c^4\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{a\,\left(\frac{b\,\left(\frac{b\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-12\,B\,b^3\,c^2\,e^4+48\,B\,b^2\,c^3\,d\,e^3+12\,A\,b^2\,c^3\,e^4+48\,B\,a\,b\,c^3\,e^4+32\,B\,c^5\,d^3\,e+48\,A\,c^5\,d^2\,e^2-192\,B\,a\,c^4\,d\,e^3-48\,A\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(\frac{a\,\left(\frac{b\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-12\,B\,b^3\,c^2\,e^4+48\,B\,b^2\,c^3\,d\,e^3+12\,A\,b^2\,c^3\,e^4+48\,B\,a\,b\,c^3\,e^4+32\,B\,c^5\,d^3\,e+48\,A\,c^5\,d^2\,e^2-192\,B\,a\,c^4\,d\,e^3-48\,A\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(48\,B\,a^2\,c^3\,e^4-60\,B\,a\,b^2\,c^2\,e^4+192\,B\,a\,b\,c^3\,d\,e^3+48\,A\,a\,b\,c^3\,e^4-288\,B\,a\,c^4\,d^2\,e^2-192\,A\,a\,c^4\,d\,e^3+12\,B\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d\,e^3-12\,A\,b^3\,c^2\,e^4+72\,B\,b^2\,c^3\,d^2\,e^2+48\,A\,b^2\,c^3\,d\,e^3+8\,B\,c^5\,d^4+32\,A\,c^5\,d^3\,e\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(-12\,B\,b^3\,c^2\,e^4+48\,B\,b^2\,c^3\,d\,e^3+12\,A\,b^2\,c^3\,e^4+48\,B\,a\,b\,c^3\,e^4+32\,B\,c^5\,d^3\,e+48\,A\,c^5\,d^2\,e^2-192\,B\,a\,c^4\,d\,e^3-48\,A\,a\,c^4\,e^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-4\,B\,a^2\,b\,c^2\,e^4-32\,B\,a^2\,c^3\,d\,e^3-8\,A\,a^2\,c^3\,e^4+28\,B\,a\,b^3\,c\,e^4-80\,B\,a\,b^2\,c^2\,d\,e^3-20\,A\,a\,b^2\,c^2\,e^4+72\,B\,a\,b\,c^3\,d^2\,e^2+48\,A\,a\,b\,c^3\,d\,e^3+32\,B\,a\,c^4\,d^3\,e+48\,A\,a\,c^4\,d^2\,e^2-8\,B\,b^5\,e^4+32\,B\,b^4\,c\,d\,e^3+8\,A\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d^2\,e^2-32\,A\,b^3\,c^2\,d\,e^3+32\,B\,b^2\,c^3\,d^3\,e+48\,A\,b^2\,c^3\,d^2\,e^2-20\,B\,b\,c^4\,d^4-80\,A\,b\,c^4\,d^3\,e+32\,A\,c^5\,d^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(48\,B\,a^2\,c^3\,e^4-60\,B\,a\,b^2\,c^2\,e^4+192\,B\,a\,b\,c^3\,d\,e^3+48\,A\,a\,b\,c^3\,e^4-288\,B\,a\,c^4\,d^2\,e^2-192\,A\,a\,c^4\,d\,e^3+12\,B\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d\,e^3-12\,A\,b^3\,c^2\,e^4+72\,B\,b^2\,c^3\,d^2\,e^2+48\,A\,b^2\,c^3\,d\,e^3+8\,B\,c^5\,d^4+32\,A\,c^5\,d^3\,e\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{a\,\left(\frac{b\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{16\,c^3\,e^3\,\left(A\,e+4\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^4}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-12\,B\,b^3\,c^2\,e^4+48\,B\,b^2\,c^3\,d\,e^3+12\,A\,b^2\,c^3\,e^4+48\,B\,a\,b\,c^3\,e^4+32\,B\,c^5\,d^3\,e+48\,A\,c^5\,d^2\,e^2-192\,B\,a\,c^4\,d\,e^3-48\,A\,a\,c^4\,e^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(12\,B\,b^2\,c^3\,e^4+48\,B\,c^5\,d^2\,e^2+32\,A\,c^5\,d\,e^3-48\,B\,a\,c^4\,e^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(48\,B\,a^2\,c^3\,e^4-60\,B\,a\,b^2\,c^2\,e^4+192\,B\,a\,b\,c^3\,d\,e^3+48\,A\,a\,b\,c^3\,e^4-288\,B\,a\,c^4\,d^2\,e^2-192\,A\,a\,c^4\,d\,e^3+12\,B\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d\,e^3-12\,A\,b^3\,c^2\,e^4+72\,B\,b^2\,c^3\,d^2\,e^2+48\,A\,b^2\,c^3\,d\,e^3+8\,B\,c^5\,d^4+32\,A\,c^5\,d^3\,e\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(-12\,B\,b^3\,c^2\,e^4+48\,B\,b^2\,c^3\,d\,e^3+12\,A\,b^2\,c^3\,e^4+48\,B\,a\,b\,c^3\,e^4+32\,B\,c^5\,d^3\,e+48\,A\,c^5\,d^2\,e^2-192\,B\,a\,c^4\,d\,e^3-48\,A\,a\,c^4\,e^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(-4\,B\,a^2\,b\,c^2\,e^4-32\,B\,a^2\,c^3\,d\,e^3-8\,A\,a^2\,c^3\,e^4+28\,B\,a\,b^3\,c\,e^4-80\,B\,a\,b^2\,c^2\,d\,e^3-20\,A\,a\,b^2\,c^2\,e^4+72\,B\,a\,b\,c^3\,d^2\,e^2+48\,A\,a\,b\,c^3\,d\,e^3+32\,B\,a\,c^4\,d^3\,e+48\,A\,a\,c^4\,d^2\,e^2-8\,B\,b^5\,e^4+32\,B\,b^4\,c\,d\,e^3+8\,A\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d^2\,e^2-32\,A\,b^3\,c^2\,d\,e^3+32\,B\,b^2\,c^3\,d^3\,e+48\,A\,b^2\,c^3\,d^2\,e^2-20\,B\,b\,c^4\,d^4-80\,A\,b\,c^4\,d^3\,e+32\,A\,c^5\,d^4\right)}{15\,c^3\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{a\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{8\,e^2\,\left(5\,B\,b^2\,e^2-8\,B\,b\,c\,d\,e-2\,A\,b\,c\,e^2+12\,B\,c^2\,d^2+8\,A\,c^2\,d\,e-14\,B\,a\,c\,e^2\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-64\,B\,a^2\,b\,c^2\,e^4+640\,B\,a^2\,c^3\,d\,e^3+160\,A\,a^2\,c^3\,e^4-80\,B\,a\,b^3\,c\,e^4+160\,B\,a\,b^2\,c^2\,d\,e^3+40\,A\,a\,b^2\,c^2\,e^4-576\,B\,a\,b\,c^3\,d^2\,e^2-384\,A\,a\,b\,c^3\,d\,e^3+128\,B\,a\,c^4\,d^3\,e+192\,A\,a\,c^4\,d^2\,e^2+16\,B\,b^5\,e^4-16\,B\,b^4\,c\,d\,e^3-4\,A\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d^2\,e^2-32\,A\,b^3\,c^2\,d\,e^3+224\,B\,b^2\,c^3\,d^3\,e+336\,A\,b^2\,c^3\,d^2\,e^2-128\,B\,b\,c^4\,d^4-512\,A\,b\,c^4\,d^3\,e+256\,A\,c^5\,d^4\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}-\frac{4\,b\,e^2\,\left(5\,B\,b^2\,e^2-8\,B\,b\,c\,d\,e-2\,A\,b\,c\,e^2+12\,B\,c^2\,d^2+8\,A\,c^2\,d\,e-14\,B\,a\,c\,e^2\right)}{5\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)-\frac{a\,\left(\frac{b\,\left(\frac{16\,c\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{8\,e^2\,\left(5\,B\,b^2\,e^2-8\,B\,b\,c\,d\,e-2\,A\,b\,c\,e^2+12\,B\,c^2\,d^2+8\,A\,c^2\,d\,e-14\,B\,a\,c\,e^2\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,e^3\,\left(A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(-64\,B\,a^2\,b\,c^2\,e^4+640\,B\,a^2\,c^3\,d\,e^3+160\,A\,a^2\,c^3\,e^4-80\,B\,a\,b^3\,c\,e^4+160\,B\,a\,b^2\,c^2\,d\,e^3+40\,A\,a\,b^2\,c^2\,e^4-576\,B\,a\,b\,c^3\,d^2\,e^2-384\,A\,a\,b\,c^3\,d\,e^3+128\,B\,a\,c^4\,d^3\,e+192\,A\,a\,c^4\,d^2\,e^2+16\,B\,b^5\,e^4-16\,B\,b^4\,c\,d\,e^3-4\,A\,b^4\,c\,e^4-48\,B\,b^3\,c^2\,d^2\,e^2-32\,A\,b^3\,c^2\,d\,e^3+224\,B\,b^2\,c^3\,d^3\,e+336\,A\,b^2\,c^3\,d^2\,e^2-128\,B\,b\,c^4\,d^4-512\,A\,b\,c^4\,d^3\,e+256\,A\,c^5\,d^4\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}-\frac{x\,\left(\frac{b\,\left(\frac{a\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{8\,c^2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{8\,c^2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{8\,c^2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,b\,c\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{2\,c^2\,\left(\frac{2\,B\,d^4}{5}+\frac{8\,A\,e\,d^3}{5}\right)}{4\,a\,c^2-b^2\,c}+\frac{4\,b\,c\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{a\,\left(\frac{b\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{8\,c^2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{8\,c^2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,b\,c\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,B\,d^4}{5}+\frac{8\,A\,e\,d^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{4\,A\,c^2\,d^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{a\,\left(\frac{a\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{8\,c^2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{8\,c^2\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^4}{5}+\frac{8\,B\,d\,e^3}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{8\,c^2\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,b\,c\,d\,e^2\,\left(2\,A\,e+3\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{2\,c^2\,\left(\frac{2\,B\,d^4}{5}+\frac{8\,A\,e\,d^3}{5}\right)}{4\,a\,c^2-b^2\,c}+\frac{4\,b\,c\,d^2\,e\,\left(3\,A\,e+2\,B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{2\,A\,b\,c\,d^4}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}","Not used",1,"((a*((b*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(24*A*b*c^2*e^4 + 48*B*a*c^2*e^4 - 30*B*b^2*c*e^4 - 96*A*c^3*d*e^3 - 144*B*c^3*d^2*e^2 + 96*B*b*c^2*d*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - x*((a*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (b*((b*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(24*A*b*c^2*e^4 + 48*B*a*c^2*e^4 - 30*B*b^2*c*e^4 - 96*A*c^3*d*e^3 - 144*B*c^3*d^2*e^2 + 96*B*b*c^2*d*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(4*B*b^3*e^4 - 16*A*a*c^2*e^4 - 2*A*b^2*c*e^4 + 32*B*c^3*d^3*e + 48*A*c^3*d^2*e^2 + 16*B*a*b*c*e^4 - 64*B*a*c^2*d*e^3 - 8*B*b^2*c*d*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(24*A*b*c^2*e^4 + 48*B*a*c^2*e^4 - 30*B*b^2*c*e^4 - 96*A*c^3*d*e^3 - 144*B*c^3*d^2*e^2 + 96*B*b*c^2*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*(4*B*b^3*e^4 - 16*A*a*c^2*e^4 - 2*A*b^2*c*e^4 + 32*B*c^3*d^3*e + 48*A*c^3*d^2*e^2 + 16*B*a*b*c*e^4 - 64*B*a*c^2*d*e^3 - 8*B*b^2*c*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2) - ((a*((2*A*b*c^3*e^4 + 4*B*a*c^3*e^4 - 16*A*c^4*d*e^3 - 2*B*b^2*c^2*e^4 - 24*B*c^4*d^2*e^2 + 8*B*b*c^3*d*e^3)/(15*c^4*(4*a*c - b^2)) + (b*((2*e^3*(2*A*c*e - B*b*e + 8*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^4)/(15*c*(4*a*c - b^2))))/c + (4*B*a*e^4)/(15*c*(4*a*c - b^2))))/c - x*((4*A*a*c^3*e^4 + 2*B*b^3*c*e^4 - 16*B*c^4*d^3*e - 2*A*b^2*c^2*e^4 - 24*A*c^4*d^2*e^2 + 12*B*b*c^3*d^2*e^2 - 8*B*b^2*c^2*d*e^3 - 6*B*a*b*c^2*e^4 + 8*A*b*c^3*d*e^3 + 16*B*a*c^3*d*e^3)/(15*c^4*(4*a*c - b^2)) - (b*((2*A*b*c^3*e^4 + 4*B*a*c^3*e^4 - 16*A*c^4*d*e^3 - 2*B*b^2*c^2*e^4 - 24*B*c^4*d^2*e^2 + 8*B*b*c^3*d*e^3)/(15*c^4*(4*a*c - b^2)) + (b*((2*e^3*(2*A*c*e - B*b*e + 8*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^4)/(15*c*(4*a*c - b^2))))/c + (4*B*a*e^4)/(15*c*(4*a*c - b^2))))/c + (a*((2*e^3*(2*A*c*e - B*b*e + 8*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^4)/(15*c*(4*a*c - b^2))))/c) + (2*B*b^4*e^4 + 4*B*c^4*d^4 - 2*A*b^3*c*e^4 + 16*A*c^4*d^3*e + 4*B*a^2*c^2*e^4 - 12*A*b*c^3*d^2*e^2 + 8*A*b^2*c^2*d*e^3 - 24*B*a*c^3*d^2*e^2 + 12*B*b^2*c^2*d^2*e^2 + 6*A*a*b*c^2*e^4 - 8*B*a*b^2*c*e^4 - 16*A*a*c^3*d*e^3 - 8*B*b*c^3*d^3*e - 8*B*b^3*c*d*e^3 + 24*B*a*b*c^2*d*e^3)/(15*c^4*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((a*((b*((b*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*B*c^5*d^3*e - 48*A*a*c^4*e^4 + 12*A*b^2*c^3*e^4 - 12*B*b^3*c^2*e^4 + 48*A*c^5*d^2*e^2 + 48*B*b^2*c^3*d*e^3 + 48*B*a*b*c^3*e^4 - 192*B*a*c^4*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*((a*((b*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (b*((b*((b*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*B*c^5*d^3*e - 48*A*a*c^4*e^4 + 12*A*b^2*c^3*e^4 - 12*B*b^3*c^2*e^4 + 48*A*c^5*d^2*e^2 + 48*B*b^2*c^3*d*e^3 + 48*B*a*b*c^3*e^4 - 192*B*a*c^4*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(8*B*c^5*d^4 + 12*B*b^4*c*e^4 + 32*A*c^5*d^3*e - 12*A*b^3*c^2*e^4 + 48*B*a^2*c^3*e^4 - 60*B*a*b^2*c^2*e^4 + 48*A*b^2*c^3*d*e^3 - 288*B*a*c^4*d^2*e^2 - 48*B*b^3*c^2*d*e^3 + 72*B*b^2*c^3*d^2*e^2 + 48*A*a*b*c^3*e^4 - 192*A*a*c^4*d*e^3 + 192*B*a*b*c^3*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(32*B*c^5*d^3*e - 48*A*a*c^4*e^4 + 12*A*b^2*c^3*e^4 - 12*B*b^3*c^2*e^4 + 48*A*c^5*d^2*e^2 + 48*B*b^2*c^3*d*e^3 + 48*B*a*b*c^3*e^4 - 192*B*a*c^4*d*e^3))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*A*c^5*d^4 - 8*B*b^5*e^4 + 8*A*b^4*c*e^4 - 20*B*b*c^4*d^4 - 8*A*a^2*c^3*e^4 - 20*A*a*b^2*c^2*e^4 - 4*B*a^2*b*c^2*e^4 + 48*A*a*c^4*d^2*e^2 - 32*A*b^3*c^2*d*e^3 - 32*B*a^2*c^3*d*e^3 + 32*B*b^2*c^3*d^3*e + 48*A*b^2*c^3*d^2*e^2 - 48*B*b^3*c^2*d^2*e^2 + 28*B*a*b^3*c*e^4 - 80*A*b*c^4*d^3*e + 32*B*a*c^4*d^3*e + 32*B*b^4*c*d*e^3 + 48*A*a*b*c^3*d*e^3 + 72*B*a*b*c^3*d^2*e^2 - 80*B*a*b^2*c^2*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (b*(8*B*c^5*d^4 + 12*B*b^4*c*e^4 + 32*A*c^5*d^3*e - 12*A*b^3*c^2*e^4 + 48*B*a^2*c^3*e^4 - 60*B*a*b^2*c^2*e^4 + 48*A*b^2*c^3*d*e^3 - 288*B*a*c^4*d^2*e^2 - 48*B*b^3*c^2*d*e^3 + 72*B*b^2*c^3*d^2*e^2 + 48*A*a*b*c^3*e^4 - 192*A*a*c^4*d*e^3 + 192*B*a*b*c^3*d*e^3))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((a*((b*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (b*((b*((b*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((16*c^3*e^3*(A*e + 4*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^4)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*B*c^5*d^3*e - 48*A*a*c^4*e^4 + 12*A*b^2*c^3*e^4 - 12*B*b^3*c^2*e^4 + 48*A*c^5*d^2*e^2 + 48*B*b^2*c^3*d*e^3 + 48*B*a*b*c^3*e^4 - 192*B*a*c^4*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(32*A*c^5*d*e^3 - 48*B*a*c^4*e^4 + 12*B*b^2*c^3*e^4 + 48*B*c^5*d^2*e^2))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(8*B*c^5*d^4 + 12*B*b^4*c*e^4 + 32*A*c^5*d^3*e - 12*A*b^3*c^2*e^4 + 48*B*a^2*c^3*e^4 - 60*B*a*b^2*c^2*e^4 + 48*A*b^2*c^3*d*e^3 - 288*B*a*c^4*d^2*e^2 - 48*B*b^3*c^2*d*e^3 + 72*B*b^2*c^3*d^2*e^2 + 48*A*a*b*c^3*e^4 - 192*A*a*c^4*d*e^3 + 192*B*a*b*c^3*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(32*B*c^5*d^3*e - 48*A*a*c^4*e^4 + 12*A*b^2*c^3*e^4 - 12*B*b^3*c^2*e^4 + 48*A*c^5*d^2*e^2 + 48*B*b^2*c^3*d*e^3 + 48*B*a*b*c^3*e^4 - 192*B*a*c^4*d*e^3))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(32*A*c^5*d^4 - 8*B*b^5*e^4 + 8*A*b^4*c*e^4 - 20*B*b*c^4*d^4 - 8*A*a^2*c^3*e^4 - 20*A*a*b^2*c^2*e^4 - 4*B*a^2*b*c^2*e^4 + 48*A*a*c^4*d^2*e^2 - 32*A*b^3*c^2*d*e^3 - 32*B*a^2*c^3*d*e^3 + 32*B*b^2*c^3*d^3*e + 48*A*b^2*c^3*d^2*e^2 - 48*B*b^3*c^2*d^2*e^2 + 28*B*a*b^3*c*e^4 - 80*A*b*c^4*d^3*e + 32*B*a*c^4*d^3*e + 32*B*b^4*c*d*e^3 + 48*A*a*b*c^3*d*e^3 + 72*B*a*b*c^3*d^2*e^2 - 80*B*a*b^2*c^2*d*e^3))/(15*c^3*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((a*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (b*((b*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (8*e^2*(5*B*b^2*e^2 + 12*B*c^2*d^2 - 2*A*b*c*e^2 - 14*B*a*c*e^2 + 8*A*c^2*d*e - 8*B*b*c*d*e))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(256*A*c^5*d^4 + 16*B*b^5*e^4 - 4*A*b^4*c*e^4 - 128*B*b*c^4*d^4 + 160*A*a^2*c^3*e^4 + 40*A*a*b^2*c^2*e^4 - 64*B*a^2*b*c^2*e^4 + 192*A*a*c^4*d^2*e^2 - 32*A*b^3*c^2*d*e^3 + 640*B*a^2*c^3*d*e^3 + 224*B*b^2*c^3*d^3*e + 336*A*b^2*c^3*d^2*e^2 - 48*B*b^3*c^2*d^2*e^2 - 80*B*a*b^3*c*e^4 - 512*A*b*c^4*d^3*e + 128*B*a*c^4*d^3*e - 16*B*b^4*c*d*e^3 - 384*A*a*b*c^3*d*e^3 - 576*B*a*b*c^3*d^2*e^2 + 160*B*a*b^2*c^2*d*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) - (4*b*e^2*(5*B*b^2*e^2 + 12*B*c^2*d^2 - 2*A*b*c*e^2 - 14*B*a*c*e^2 + 8*A*c^2*d*e - 8*B*b*c*d*e))/(5*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) - (a*((b*((16*c*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (8*e^2*(5*B*b^2*e^2 + 12*B*c^2*d^2 - 2*A*b*c*e^2 - 14*B*a*c*e^2 + 8*A*c^2*d*e - 8*B*b*c*d*e))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*e^3*(A*c*e - B*b*e + 4*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(256*A*c^5*d^4 + 16*B*b^5*e^4 - 4*A*b^4*c*e^4 - 128*B*b*c^4*d^4 + 160*A*a^2*c^3*e^4 + 40*A*a*b^2*c^2*e^4 - 64*B*a^2*b*c^2*e^4 + 192*A*a*c^4*d^2*e^2 - 32*A*b^3*c^2*d*e^3 + 640*B*a^2*c^3*d*e^3 + 224*B*b^2*c^3*d^3*e + 336*A*b^2*c^3*d^2*e^2 - 48*B*b^3*c^2*d^2*e^2 - 80*B*a*b^3*c*e^4 - 512*A*b*c^4*d^3*e + 128*B*a*c^4*d^3*e - 16*B*b^4*c*d*e^3 - 384*A*a*b*c^3*d*e^3 - 576*B*a*b*c^3*d^2*e^2 + 160*B*a*b^2*c^2*d*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) - (x*((b*((a*((b*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (8*c^2*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*((b*((b*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (8*c^2*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (a*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c + (8*c^2*d^2*e*(3*A*e + 2*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*b*c*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c))))/c + (2*c^2*((2*B*d^4)/5 + (8*A*d^3*e)/5))/(4*a*c^2 - b^2*c) + (4*b*c*d^2*e*(3*A*e + 2*B*d))/(5*(4*a*c^2 - b^2*c))))/c + (a*((b*((b*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (8*c^2*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (a*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c + (8*c^2*d^2*e*(3*A*e + 2*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*b*c*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*B*d^4)/5 + (8*A*d^3*e)/5))/(4*a*c^2 - b^2*c) - (4*A*c^2*d^4)/(5*(4*a*c^2 - b^2*c))) + (a*((a*((b*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (8*c^2*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*((b*((b*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (8*c^2*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c - (a*((2*c^2*((2*A*e^4)/5 + (8*B*d*e^3)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^4)/(5*(4*a*c^2 - b^2*c))))/c + (8*c^2*d^2*e*(3*A*e + 2*B*d))/(5*(4*a*c^2 - b^2*c)) + (4*b*c*d*e^2*(2*A*e + 3*B*d))/(5*(4*a*c^2 - b^2*c))))/c + (2*c^2*((2*B*d^4)/5 + (8*A*d^3*e)/5))/(4*a*c^2 - b^2*c) + (4*b*c*d^2*e*(3*A*e + 2*B*d))/(5*(4*a*c^2 - b^2*c))))/c - (2*A*b*c*d^4)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2)","B"
2490,1,4090,264,4.431656,"\text{Not used}","int(((A + B*x)*(d + e*x)^3)/(a + b*x + c*x^2)^(7/2),x)","\frac{x\,\left(\frac{-2\,B\,b^2\,c\,e^3+6\,B\,b\,c^2\,d\,e^2+2\,A\,b\,c^2\,e^3-12\,B\,c^3\,d^2\,e-12\,A\,c^3\,d\,e^2+4\,B\,a\,c^2\,e^3}{15\,c^3\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(\frac{2\,e^2\,\left(2\,A\,c\,e-B\,b\,e+6\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^3}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{4\,B\,a\,e^3}{15\,c\,\left(4\,a\,c-b^2\right)}\right)+\frac{2\,B\,b^3\,e^3-6\,B\,b^2\,c\,d\,e^2-2\,A\,b^2\,c\,e^3+6\,B\,b\,c^2\,d^2\,e+6\,A\,b\,c^2\,d\,e^2-6\,B\,a\,b\,c\,e^3-4\,B\,c^3\,d^3-12\,A\,c^3\,d^2\,e+12\,B\,a\,c^2\,d\,e^2+4\,A\,a\,c^2\,e^3}{15\,c^3\,\left(4\,a\,c-b^2\right)}+\frac{a\,\left(\frac{2\,e^2\,\left(2\,A\,c\,e-B\,b\,e+6\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^3}{15\,c\,\left(4\,a\,c-b^2\right)}\right)}{c}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}-\frac{x\,\left(\frac{b\,\left(\frac{16\,c\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(2\,B\,b^2\,e^3-24\,B\,c^2\,d^2\,e-24\,A\,c^2\,d\,e^2+16\,B\,a\,c\,e^3\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{16\,c\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(2\,B\,b^2\,e^3-24\,B\,c^2\,d^2\,e-24\,A\,c^2\,d\,e^2+16\,B\,a\,c\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}+\frac{x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{16\,c^3\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^2\,e^3+24\,B\,c^4\,d^2\,e+24\,A\,c^4\,d\,e^2-48\,B\,a\,c^3\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{16\,c^3\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-12\,B\,b^3\,c\,e^3+36\,B\,b^2\,c^2\,d\,e^2+12\,A\,b^2\,c^2\,e^3+48\,B\,a\,b\,c^2\,e^3+8\,B\,c^4\,d^3+24\,A\,c^4\,d^2\,e-144\,B\,a\,c^3\,d\,e^2-48\,A\,a\,c^3\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(12\,B\,b^2\,c^2\,e^3+24\,B\,c^4\,d^2\,e+24\,A\,c^4\,d\,e^2-48\,B\,a\,c^3\,e^3\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{b\,\left(\frac{16\,c^3\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^2\,e^3+24\,B\,c^4\,d^2\,e+24\,A\,c^4\,d\,e^2-48\,B\,a\,c^3\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-8\,B\,a^2\,c^2\,e^3-20\,B\,a\,b^2\,c\,e^3+36\,B\,a\,b\,c^2\,d\,e^2+12\,A\,a\,b\,c^2\,e^3+24\,B\,a\,c^3\,d^2\,e+24\,A\,a\,c^3\,d\,e^2+8\,B\,b^4\,e^3-24\,B\,b^3\,c\,d\,e^2-8\,A\,b^3\,c\,e^3+24\,B\,b^2\,c^2\,d^2\,e+24\,A\,b^2\,c^2\,d\,e^2-20\,B\,b\,c^3\,d^3-60\,A\,b\,c^3\,d^2\,e+32\,A\,c^4\,d^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(-12\,B\,b^3\,c\,e^3+36\,B\,b^2\,c^2\,d\,e^2+12\,A\,b^2\,c^2\,e^3+48\,B\,a\,b\,c^2\,e^3+8\,B\,c^4\,d^3+24\,A\,c^4\,d^2\,e-144\,B\,a\,c^3\,d\,e^2-48\,A\,a\,c^3\,e^3\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{b\,\left(\frac{b\,\left(\frac{16\,c^3\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{2\,\left(12\,B\,b^2\,c^2\,e^3+24\,B\,c^4\,d^2\,e+24\,A\,c^4\,d\,e^2-48\,B\,a\,c^3\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{a\,\left(\frac{16\,c^3\,e^2\,\left(A\,e+3\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^3}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-12\,B\,b^3\,c\,e^3+36\,B\,b^2\,c^2\,d\,e^2+12\,A\,b^2\,c^2\,e^3+48\,B\,a\,b\,c^2\,e^3+8\,B\,c^4\,d^3+24\,A\,c^4\,d^2\,e-144\,B\,a\,c^3\,d\,e^2-48\,A\,a\,c^3\,e^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(12\,B\,b^2\,c^2\,e^3+24\,B\,c^4\,d^2\,e+24\,A\,c^4\,d\,e^2-48\,B\,a\,c^3\,e^3\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(-8\,B\,a^2\,c^2\,e^3-20\,B\,a\,b^2\,c\,e^3+36\,B\,a\,b\,c^2\,d\,e^2+12\,A\,a\,b\,c^2\,e^3+24\,B\,a\,c^3\,d^2\,e+24\,A\,a\,c^3\,d\,e^2+8\,B\,b^4\,e^3-24\,B\,b^3\,c\,d\,e^2-8\,A\,b^3\,c\,e^3+24\,B\,b^2\,c^2\,d^2\,e+24\,A\,b^2\,c^2\,d\,e^2-20\,B\,b\,c^3\,d^3-60\,A\,b\,c^3\,d^2\,e+32\,A\,c^4\,d^3\right)}{15\,c^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{a\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{12\,c^2\,d\,e\,\left(A\,e+B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,B\,d^3}{5}+\frac{6\,A\,e\,d^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{12\,c^2\,d\,e\,\left(A\,e+B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{6\,b\,c\,d\,e\,\left(A\,e+B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,c\,\left(\frac{2\,B\,d^3}{5}+\frac{6\,A\,e\,d^2}{5}\right)}{4\,a\,c^2-b^2\,c}+\frac{4\,A\,c^2\,d^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,B\,d^3}{5}+\frac{6\,A\,e\,d^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e^3}{5}+\frac{6\,B\,d\,e^2}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{12\,c^2\,d\,e\,\left(A\,e+B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{6\,b\,c\,d\,e\,\left(A\,e+B\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{2\,A\,b\,c\,d^3}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{x\,\left(\frac{2\,\left(160\,B\,a^2\,c^2\,e^3+40\,B\,a\,b^2\,c\,e^3-288\,B\,a\,b\,c^2\,d\,e^2-96\,A\,a\,b\,c^2\,e^3+96\,B\,a\,c^3\,d^2\,e+96\,A\,a\,c^3\,d\,e^2-4\,B\,b^4\,e^3-24\,B\,b^3\,c\,d\,e^2-8\,A\,b^3\,c\,e^3+168\,B\,b^2\,c^2\,d^2\,e+168\,A\,b^2\,c^2\,d\,e^2-128\,B\,b\,c^3\,d^3-384\,A\,b\,c^3\,d^2\,e+256\,A\,c^4\,d^3\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{b\,\left(\frac{16\,c\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{8\,b\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{16\,c\,e^2\,\left(A\,c\,e-B\,b\,e+3\,B\,c\,d\right)}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^3}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(160\,B\,a^2\,c^2\,e^3+40\,B\,a\,b^2\,c\,e^3-288\,B\,a\,b\,c^2\,d\,e^2-96\,A\,a\,b\,c^2\,e^3+96\,B\,a\,c^3\,d^2\,e+96\,A\,a\,c^3\,d\,e^2-4\,B\,b^4\,e^3-24\,B\,b^3\,c\,d\,e^2-8\,A\,b^3\,c\,e^3+168\,B\,b^2\,c^2\,d^2\,e+168\,A\,b^2\,c^2\,d\,e^2-128\,B\,b\,c^3\,d^3-384\,A\,b\,c^3\,d^2\,e+256\,A\,c^4\,d^3\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(x*((2*A*b*c^2*e^3 + 4*B*a*c^2*e^3 - 2*B*b^2*c*e^3 - 12*A*c^3*d*e^2 - 12*B*c^3*d^2*e + 6*B*b*c^2*d*e^2)/(15*c^3*(4*a*c - b^2)) + (b*((2*e^2*(2*A*c*e - B*b*e + 6*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^3)/(15*c*(4*a*c - b^2))))/c + (4*B*a*e^3)/(15*c*(4*a*c - b^2))) + (2*B*b^3*e^3 - 4*B*c^3*d^3 + 4*A*a*c^2*e^3 - 2*A*b^2*c*e^3 - 12*A*c^3*d^2*e - 6*B*a*b*c*e^3 + 6*A*b*c^2*d*e^2 + 12*B*a*c^2*d*e^2 + 6*B*b*c^2*d^2*e - 6*B*b^2*c*d*e^2)/(15*c^3*(4*a*c - b^2)) + (a*((2*e^2*(2*A*c*e - B*b*e + 6*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^3)/(15*c*(4*a*c - b^2))))/c)/(a + b*x + c*x^2)^(3/2) - (x*((b*((16*c*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(2*B*b^2*e^3 + 16*B*a*c*e^3 - 24*A*c^2*d*e^2 - 24*B*c^2*d^2*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((16*c*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(2*B*b^2*e^3 + 16*B*a*c*e^3 - 24*A*c^2*d*e^2 - 24*B*c^2*d^2*e))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2) + (x*((b*((b*((b*((16*c^3*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(24*A*c^4*d*e^2 - 48*B*a*c^3*e^3 + 24*B*c^4*d^2*e + 12*B*b^2*c^2*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((16*c^3*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(8*B*c^4*d^3 - 48*A*a*c^3*e^3 - 12*B*b^3*c*e^3 + 24*A*c^4*d^2*e + 12*A*b^2*c^2*e^3 + 36*B*b^2*c^2*d*e^2 + 48*B*a*b*c^2*e^3 - 144*B*a*c^3*d*e^2))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(24*A*c^4*d*e^2 - 48*B*a*c^3*e^3 + 24*B*c^4*d^2*e + 12*B*b^2*c^2*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((b*((16*c^3*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(24*A*c^4*d*e^2 - 48*B*a*c^3*e^3 + 24*B*c^4*d^2*e + 12*B*b^2*c^2*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*A*c^4*d^3 + 8*B*b^4*e^3 - 8*A*b^3*c*e^3 - 20*B*b*c^3*d^3 - 8*B*a^2*c^2*e^3 + 24*A*b^2*c^2*d*e^2 + 24*B*b^2*c^2*d^2*e + 12*A*a*b*c^2*e^3 - 20*B*a*b^2*c*e^3 + 24*A*a*c^3*d*e^2 - 60*A*b*c^3*d^2*e + 24*B*a*c^3*d^2*e - 24*B*b^3*c*d*e^2 + 36*B*a*b*c^2*d*e^2))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (b*(8*B*c^4*d^3 - 48*A*a*c^3*e^3 - 12*B*b^3*c*e^3 + 24*A*c^4*d^2*e + 12*A*b^2*c^2*e^3 + 36*B*b^2*c^2*d*e^2 + 48*B*a*b*c^2*e^3 - 144*B*a*c^3*d*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((b*((b*((16*c^3*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (2*(24*A*c^4*d*e^2 - 48*B*a*c^3*e^3 + 24*B*c^4*d^2*e + 12*B*b^2*c^2*e^3))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (a*((16*c^3*e^2*(A*e + 3*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^3)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(8*B*c^4*d^3 - 48*A*a*c^3*e^3 - 12*B*b^3*c*e^3 + 24*A*c^4*d^2*e + 12*A*b^2*c^2*e^3 + 36*B*b^2*c^2*d*e^2 + 48*B*a*b*c^2*e^3 - 144*B*a*c^3*d*e^2))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (b*(24*A*c^4*d*e^2 - 48*B*a*c^3*e^3 + 24*B*c^4*d^2*e + 12*B*b^2*c^2*e^3))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(32*A*c^4*d^3 + 8*B*b^4*e^3 - 8*A*b^3*c*e^3 - 20*B*b*c^3*d^3 - 8*B*a^2*c^2*e^3 + 24*A*b^2*c^2*d*e^2 + 24*B*b^2*c^2*d^2*e + 12*A*a*b*c^2*e^3 - 20*B*a*b^2*c*e^3 + 24*A*a*c^3*d*e^2 - 60*A*b*c^3*d^2*e + 24*B*a*c^3*d^2*e - 24*B*b^3*c*d*e^2 + 36*B*a*b*c^2*d*e^2))/(15*c^2*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((a*((b*((2*c^2*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (12*c^2*d*e*(A*e + B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c - (b*((2*c^2*((2*B*d^3)/5 + (6*A*d^2*e)/5))/(4*a*c^2 - b^2*c) - (a*((2*c^2*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c + (b*((b*((2*c^2*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (12*c^2*d*e*(A*e + B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c + (6*b*c*d*e*(A*e + B*d))/(5*(4*a*c^2 - b^2*c))))/c + (b*c*((2*B*d^3)/5 + (6*A*d^2*e)/5))/(4*a*c^2 - b^2*c) + (4*A*c^2*d^3)/(5*(4*a*c^2 - b^2*c))) - (a*((2*c^2*((2*B*d^3)/5 + (6*A*d^2*e)/5))/(4*a*c^2 - b^2*c) - (a*((2*c^2*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c + (b*((b*((2*c^2*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e^3)/5 + (6*B*d*e^2)/5))/(4*a*c^2 - b^2*c) - (12*c^2*d*e*(A*e + B*d))/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e^3)/(5*(4*a*c^2 - b^2*c))))/c + (6*b*c*d*e*(A*e + B*d))/(5*(4*a*c^2 - b^2*c))))/c + (2*A*b*c*d^3)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) + (x*((2*(256*A*c^4*d^3 - 4*B*b^4*e^3 - 8*A*b^3*c*e^3 - 128*B*b*c^3*d^3 + 160*B*a^2*c^2*e^3 + 168*A*b^2*c^2*d*e^2 + 168*B*b^2*c^2*d^2*e - 96*A*a*b*c^2*e^3 + 40*B*a*b^2*c*e^3 + 96*A*a*c^3*d*e^2 - 384*A*b*c^3*d^2*e + 96*B*a*c^3*d^2*e - 24*B*b^3*c*d*e^2 - 288*B*a*b*c^2*d*e^2))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (b*((16*c*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (8*b*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((16*c*e^2*(A*c*e - B*b*e + 3*B*c*d))/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^3)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(256*A*c^4*d^3 - 4*B*b^4*e^3 - 8*A*b^3*c*e^3 - 128*B*b*c^3*d^3 + 160*B*a^2*c^2*e^3 + 168*A*b^2*c^2*d*e^2 + 168*B*b^2*c^2*d^2*e - 96*A*a*b*c^2*e^3 + 40*B*a*b^2*c*e^3 + 96*A*a*c^3*d*e^2 - 384*A*b*c^3*d^2*e + 96*B*a*c^3*d^2*e - 24*B*b^3*c*d*e^2 - 288*B*a*b*c^2*d*e^2))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2)","B"
2491,1,1996,324,3.769454,"\text{Not used}","int(((A + B*x)*(d + e*x)^2)/(a + b*x + c*x^2)^(7/2),x)","\frac{x\,\left(\frac{2\,c^2\,\left(8\,A\,e^2+16\,B\,d\,e\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,c\,\left(8\,A\,e^2+16\,B\,d\,e\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{16\,B\,a\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}-\frac{x\,\left(\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^2}{5}+\frac{4\,B\,d\,e}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,B\,d^2}{5}+\frac{4\,A\,e\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^2}{5}+\frac{4\,B\,d\,e}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,c\,\left(\frac{2\,A\,e^2}{5}+\frac{4\,B\,d\,e}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{4\,B\,a\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,B\,d^2}{5}+\frac{4\,A\,e\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{4\,A\,c^2\,d^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,B\,d^2}{5}+\frac{4\,A\,e\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e^2}{5}+\frac{4\,B\,d\,e}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}+\frac{b\,c\,\left(\frac{2\,A\,e^2}{5}+\frac{4\,B\,d\,e}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{4\,B\,a\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{2\,A\,b\,c\,d^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}-\frac{x\,\left(\frac{2\,e\,\left(2\,A\,c\,e-B\,b\,e+4\,B\,c\,d\right)}{15\,c\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,b\,e^2}{15\,c\,\left(4\,a\,c-b^2\right)}\right)+\frac{2\,B\,b^2\,e^2-4\,B\,b\,c\,d\,e-2\,A\,b\,c\,e^2+4\,B\,c^2\,d^2+8\,A\,c^2\,d\,e-4\,B\,a\,c\,e^2}{15\,c^2\,\left(4\,a\,c-b^2\right)}-\frac{4\,B\,a\,e^2}{15\,c\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{b\,\left(\frac{2\,\left(12\,B\,b^2\,c\,e^2+8\,B\,c^3\,d^2+16\,A\,c^3\,d\,e-48\,B\,a\,c^2\,e^2\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(\frac{16\,c^3\,e\,\left(A\,e+2\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{8\,b\,c^2\,e\,\left(A\,e+2\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{16\,B\,a\,c^2\,e^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,\left(-8\,B\,b^3\,e^2+16\,B\,b^2\,c\,d\,e+8\,A\,b^2\,c\,e^2-20\,B\,b\,c^2\,d^2-40\,A\,b\,c^2\,d\,e+12\,B\,a\,b\,c\,e^2+32\,A\,c^3\,d^2+16\,B\,a\,c^2\,d\,e+8\,A\,a\,c^2\,e^2\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{a\,\left(\frac{16\,c^3\,e\,\left(A\,e+2\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}-\frac{b\,\left(12\,B\,b^2\,c\,e^2+8\,B\,c^3\,d^2+16\,A\,c^3\,d\,e-48\,B\,a\,c^2\,e^2\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{2\,\left(12\,B\,b^2\,c\,e^2+8\,B\,c^3\,d^2+16\,A\,c^3\,d\,e-48\,B\,a\,c^2\,e^2\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(\frac{16\,c^3\,e\,\left(A\,e+2\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{8\,b\,c^2\,e\,\left(A\,e+2\,B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{16\,B\,a\,c^2\,e^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(-8\,B\,b^3\,e^2+16\,B\,b^2\,c\,d\,e+8\,A\,b^2\,c\,e^2-20\,B\,b\,c^2\,d^2-40\,A\,b\,c^2\,d\,e+12\,B\,a\,b\,c\,e^2+32\,A\,c^3\,d^2+16\,B\,a\,c^2\,d\,e+8\,A\,a\,c^2\,e^2\right)}{15\,c\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{2\,c\,\left(-8\,B\,b^3\,e^2+112\,B\,b^2\,c\,d\,e+56\,A\,b^2\,c\,e^2-128\,B\,b\,c^2\,d^2-256\,A\,b\,c^2\,d\,e-96\,B\,a\,b\,c\,e^2+256\,A\,c^3\,d^2+64\,B\,a\,c^2\,d\,e+32\,A\,a\,c^2\,e^2\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{8\,B\,b\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,\left(-8\,B\,b^3\,e^2+112\,B\,b^2\,c\,d\,e+56\,A\,b^2\,c\,e^2-128\,B\,b\,c^2\,d^2-256\,A\,b\,c^2\,d\,e-96\,B\,a\,b\,c\,e^2+256\,A\,c^3\,d^2+64\,B\,a\,c^2\,d\,e+32\,A\,a\,c^2\,e^2\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{16\,B\,a\,c\,e^2}{5\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(x*((2*c^2*(8*A*e^2 + 16*B*d*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c*e^2)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*c*(8*A*e^2 + 16*B*d*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (16*B*a*c*e^2)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2) - (x*((a*((2*c^2*((2*A*e^2)/5 + (4*B*d*e)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^2)/(5*(4*a*c^2 - b^2*c))))/c + (b*((2*c^2*((2*B*d^2)/5 + (4*A*d*e)/5))/(4*a*c^2 - b^2*c) - (b*((2*c^2*((2*A*e^2)/5 + (4*B*d*e)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^2)/(5*(4*a*c^2 - b^2*c))))/c + (b*c*((2*A*e^2)/5 + (4*B*d*e)/5))/(4*a*c^2 - b^2*c) - (4*B*a*c*e^2)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*B*d^2)/5 + (4*A*d*e)/5))/(4*a*c^2 - b^2*c) - (4*A*c^2*d^2)/(5*(4*a*c^2 - b^2*c))) + (a*((2*c^2*((2*B*d^2)/5 + (4*A*d*e)/5))/(4*a*c^2 - b^2*c) - (b*((2*c^2*((2*A*e^2)/5 + (4*B*d*e)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e^2)/(5*(4*a*c^2 - b^2*c))))/c + (b*c*((2*A*e^2)/5 + (4*B*d*e)/5))/(4*a*c^2 - b^2*c) - (4*B*a*c*e^2)/(5*(4*a*c^2 - b^2*c))))/c - (2*A*b*c*d^2)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) - (x*((2*e*(2*A*c*e - B*b*e + 4*B*c*d))/(15*c*(4*a*c - b^2)) - (4*B*b*e^2)/(15*c*(4*a*c - b^2))) + (2*B*b^2*e^2 + 4*B*c^2*d^2 - 2*A*b*c*e^2 - 4*B*a*c*e^2 + 8*A*c^2*d*e - 4*B*b*c*d*e)/(15*c^2*(4*a*c - b^2)) - (4*B*a*e^2)/(15*c*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((b*((2*(8*B*c^3*d^2 + 16*A*c^3*d*e - 48*B*a*c^2*e^2 + 12*B*b^2*c*e^2))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (b*((16*c^3*e*(A*e + 2*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (8*b*c^2*e*(A*e + 2*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (16*B*a*c^2*e^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*(32*A*c^3*d^2 - 8*B*b^3*e^2 + 8*A*a*c^2*e^2 + 8*A*b^2*c*e^2 - 20*B*b*c^2*d^2 + 12*B*a*b*c*e^2 - 40*A*b*c^2*d*e + 16*B*a*c^2*d*e + 16*B*b^2*c*d*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (a*((16*c^3*e*(A*e + 2*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c - (b*(8*B*c^3*d^2 + 16*A*c^3*d*e - 48*B*a*c^2*e^2 + 12*B*b^2*c*e^2))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((2*(8*B*c^3*d^2 + 16*A*c^3*d*e - 48*B*a*c^2*e^2 + 12*B*b^2*c*e^2))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (b*((16*c^3*e*(A*e + 2*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (8*b*c^2*e*(A*e + 2*B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (16*B*a*c^2*e^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(32*A*c^3*d^2 - 8*B*b^3*e^2 + 8*A*a*c^2*e^2 + 8*A*b^2*c*e^2 - 20*B*b*c^2*d^2 + 12*B*a*b*c*e^2 - 40*A*b*c^2*d*e + 16*B*a*c^2*d*e + 16*B*b^2*c*d*e))/(15*c*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((2*c*(256*A*c^3*d^2 - 8*B*b^3*e^2 + 32*A*a*c^2*e^2 + 56*A*b^2*c*e^2 - 128*B*b*c^2*d^2 - 96*B*a*b*c*e^2 - 256*A*b*c^2*d*e + 64*B*a*c^2*d*e + 112*B*b^2*c*d*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (8*B*b*c*e^2)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*(256*A*c^3*d^2 - 8*B*b^3*e^2 + 32*A*a*c^2*e^2 + 56*A*b^2*c*e^2 - 128*B*b*c^2*d^2 - 96*B*a*b*c*e^2 - 256*A*b*c^2*d*e + 64*B*a*c^2*d*e + 112*B*b^2*c*d*e))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (16*B*a*c*e^2)/(5*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2)","B"
2492,1,892,225,3.262760,"\text{Not used}","int(((A + B*x)*(d + e*x))/(a + b*x + c*x^2)^(7/2),x)","\frac{\frac{16\,B\,c^2\,e\,x}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{8\,B\,b\,c\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}-\frac{x\,\left(\frac{b\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e}{5}+\frac{2\,B\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{b\,c\,\left(\frac{2\,A\,e}{5}+\frac{2\,B\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{4\,A\,c^2\,d}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{4\,B\,a\,c\,e}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{a\,\left(\frac{2\,c^2\,\left(\frac{2\,A\,e}{5}+\frac{2\,B\,d}{5}\right)}{4\,a\,c^2-b^2\,c}-\frac{2\,B\,b\,c\,e}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)}{c}-\frac{2\,A\,b\,c\,d}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{x\,\left(\frac{b\,\left(\frac{16\,c^3\,\left(A\,e+B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{2\,c\,\left(32\,A\,c^2\,d+8\,B\,b^2\,e-20\,A\,b\,c\,e+8\,B\,a\,c\,e-20\,B\,b\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,b\,c^2\,\left(A\,e+B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{a\,\left(\frac{16\,c^3\,\left(A\,e+B\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,B\,b\,c^2\,e}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{c}+\frac{b\,\left(32\,A\,c^2\,d+8\,B\,b^2\,e-20\,A\,b\,c\,e+8\,B\,a\,c\,e-20\,B\,b\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{\frac{b\,c\,\left(256\,A\,c^2\,d+56\,B\,b^2\,e-128\,A\,b\,c\,e+32\,B\,a\,c\,e-128\,B\,b\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,c^2\,x\,\left(256\,A\,c^2\,d+56\,B\,b^2\,e-128\,A\,b\,c\,e+32\,B\,a\,c\,e-128\,B\,b\,c\,d\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}-\frac{\frac{4\,A\,c\,e-2\,B\,b\,e+4\,B\,c\,d}{15\,c\,\left(4\,a\,c-b^2\right)}+\frac{4\,B\,e\,x}{15\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"((16*B*c^2*e*x)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (8*B*b*c*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2) - (x*((b*((2*c^2*((2*A*e)/5 + (2*B*d)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e)/(5*(4*a*c^2 - b^2*c))))/c - (b*c*((2*A*e)/5 + (2*B*d)/5))/(4*a*c^2 - b^2*c) - (4*A*c^2*d)/(5*(4*a*c^2 - b^2*c)) + (4*B*a*c*e)/(5*(4*a*c^2 - b^2*c))) + (a*((2*c^2*((2*A*e)/5 + (2*B*d)/5))/(4*a*c^2 - b^2*c) - (2*B*b*c*e)/(5*(4*a*c^2 - b^2*c))))/c - (2*A*b*c*d)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) + (x*((b*((16*c^3*(A*e + B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (2*c*(32*A*c^2*d + 8*B*b^2*e - 20*A*b*c*e + 8*B*a*c*e - 20*B*b*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*b*c^2*(A*e + B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (a*((16*c^3*(A*e + B*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*B*b*c^2*e)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))))/c + (b*(32*A*c^2*d + 8*B*b^2*e - 20*A*b*c*e + 8*B*a*c*e - 20*B*b*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + ((b*c*(256*A*c^2*d + 56*B*b^2*e - 128*A*b*c*e + 32*B*a*c*e - 128*B*b*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (2*c^2*x*(256*A*c^2*d + 56*B*b^2*e - 128*A*b*c*e + 32*B*a*c*e - 128*B*b*c*d))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) - ((4*A*c*e - 2*B*b*e + 4*B*c*d)/(15*c*(4*a*c - b^2)) + (4*B*e*x)/(15*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2)","B"
2493,1,394,133,3.118183,"\text{Not used}","int((A + B*x)/(a + b*x + c*x^2)^(7/2),x)","\frac{\frac{b\,c\,\left(256\,A\,c^2-128\,B\,b\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,c^2\,x\,\left(256\,A\,c^2-128\,B\,b\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}+\frac{x\,\left(\frac{4\,A\,c^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{2\,B\,b\,c}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{2\,A\,b\,c}{5\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{4\,B\,a\,c}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{x\,\left(\frac{2\,c^2\,\left(32\,A\,c-20\,B\,b\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{8\,B\,b\,c^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,c\,\left(32\,A\,c-20\,B\,b\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,B\,a\,c^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}-\frac{4\,B}{\left(60\,a\,c-15\,b^2\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"((b*c*(256*A*c^2 - 128*B*b*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (2*c^2*x*(256*A*c^2 - 128*B*b*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) + (x*((4*A*c^2)/(5*(4*a*c^2 - b^2*c)) - (2*B*b*c)/(5*(4*a*c^2 - b^2*c))) + (2*A*b*c)/(5*(4*a*c^2 - b^2*c)) - (4*B*a*c)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) + (x*((2*c^2*(32*A*c - 20*B*b))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (8*B*b*c^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*c*(32*A*c - 20*B*b))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*B*a*c^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) - (4*B)/((60*a*c - 15*b^2)*(a + b*x + c*x^2)^(3/2))","B"
2494,0,-1,974,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(7/2)),x)","\int \frac{A+B\,x}{\left(d+e\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{7/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)*(a + b*x + c*x^2)^(7/2)), x)","F"
2495,0,-1,137,0.000000,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{{\left(2\,x+3\right)}^4\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2496,0,-1,112,0.000000,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{{\left(2\,x+3\right)}^3\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2497,0,-1,87,0.000000,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{{\left(2\,x+3\right)}^2\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2498,0,-1,62,0.000000,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{\left(2\,x+3\right)\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2499,1,44,57,2.681764,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2)^(1/2),x)","\frac{35\,\sqrt{3}\,\ln\left(\sqrt{3}\,x+\frac{5\,\sqrt{3}}{6}+\sqrt{3\,x^2+5\,x+2}\right)}{18}-\frac{\sqrt{3\,x^2+5\,x+2}}{3}","Not used",1,"(35*3^(1/2)*log(3^(1/2)*x + (5*3^(1/2))/6 + (5*x + 3*x^2 + 2)^(1/2)))/18 - (5*x + 3*x^2 + 2)^(1/2)/3","B"
2500,0,-1,77,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{\left(2\,x+3\right)\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2501,0,-1,64,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^2\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2502,0,-1,89,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^3\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2503,0,-1,114,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^4\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2504,0,-1,139,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^5*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^5\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^5*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2505,0,-1,164,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^6*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^6\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^6*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2506,0,-1,117,0.000000,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^4\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2507,0,-1,92,0.000000,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^3\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2508,0,-1,83,0.000000,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^2\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2509,1,78,62,0.379211,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","\frac{352\,x}{3\,\sqrt{3\,x^2+5\,x+2}}-\frac{6\,\left(35\,x+29\right)}{\sqrt{3\,x^2+5\,x+2}}-\frac{2\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{9}+\frac{280}{3\,\sqrt{3\,x^2+5\,x+2}}","Not used",1,"(352*x)/(3*(5*x + 3*x^2 + 2)^(1/2)) - (6*(35*x + 29))/(5*x + 3*x^2 + 2)^(1/2) - (2*3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/9 + 280/(3*(5*x + 3*x^2 + 2)^(1/2))","B"
2510,1,19,21,0.070972,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2)^(3/2),x)","-\frac{2\,\left(35\,x+29\right)}{\sqrt{3\,x^2+5\,x+2}}","Not used",1,"-(2*(35*x + 29))/(5*x + 3*x^2 + 2)^(1/2)","B"
2511,0,-1,62,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{\left(2\,x+3\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2512,0,-1,94,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^2\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2513,0,-1,119,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^3\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2514,0,-1,144,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^4\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2515,0,-1,169,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^5*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^5\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^5*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2516,0,-1,115,0.000000,"\text{Not used}","int(-((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^4\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^4*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2517,0,-1,92,0.000000,"\text{Not used}","int(-((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^3\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^3*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2518,1,48,54,0.115734,"\text{Not used}","int(-((2*x + 3)^2*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","\frac{36062\,x+8744\,x\,\left(3\,x^2+5\,x+2\right)+21872\,x^2+14226}{\sqrt{3\,x^2+5\,x+2}\,\left(27\,x^2+45\,x+18\right)}","Not used",1,"(36062*x + 8744*x*(5*x + 3*x^2 + 2) + 21872*x^2 + 14226)/((5*x + 3*x^2 + 2)^(1/2)*(45*x + 27*x^2 + 18))","B"
2519,1,48,47,2.437209,"\text{Not used}","int(-((2*x + 3)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","\frac{9274\,x+2248\,x\,\left(3\,x^2+5\,x+2\right)+5620\,x^2+3666}{\sqrt{3\,x^2+5\,x+2}\,\left(9\,x^2+15\,x+6\right)}","Not used",1,"(9274*x + 2248*x*(5*x + 3*x^2 + 2) + 5620*x^2 + 3666)/((5*x + 3*x^2 + 2)^(1/2)*(15*x + 9*x^2 + 6))","B"
2520,1,36,47,2.424127,"\text{Not used}","int(-(x - 5)/(5*x + 3*x^2 + 2)^(5/2),x)","\frac{2310\,x+560\,x\,\left(3\,x^2+5\,x+2\right)+1400\,x^2+914}{{\left(3\,x^2+5\,x+2\right)}^{3/2}}","Not used",1,"(2310*x + 560*x*(5*x + 3*x^2 + 2) + 1400*x^2 + 914)/(5*x + 3*x^2 + 2)^(3/2)","B"
2521,0,-1,85,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{\left(2\,x+3\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2522,0,-1,124,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^2\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^2*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2523,0,-1,147,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^3\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^3*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2524,0,-1,174,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^4\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^4*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2525,0,-1,35,0.000000,"\text{Not used}","int((x - 1)/((x + 1)*(x + x^2 + 1)^(1/2)),x)","\int \frac{x-1}{\left(x+1\right)\,\sqrt{x^2+x+1}} \,d x","Not used",1,"int((x - 1)/((x + 1)*(x + x^2 + 1)^(1/2)), x)","F"
2526,1,37,53,3.027789,"\text{Not used}","int(-(2*x + 3)^(7/2)*(x - 5)*(5*x + 3*x^2 + 2),x)","\frac{65\,{\left(2\,x+3\right)}^{9/2}}{72}-\frac{109\,{\left(2\,x+3\right)}^{11/2}}{88}+\frac{47\,{\left(2\,x+3\right)}^{13/2}}{104}-\frac{{\left(2\,x+3\right)}^{15/2}}{40}","Not used",1,"(65*(2*x + 3)^(9/2))/72 - (109*(2*x + 3)^(11/2))/88 + (47*(2*x + 3)^(13/2))/104 - (2*x + 3)^(15/2)/40","B"
2527,1,37,53,0.037949,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2),x)","\frac{65\,{\left(2\,x+3\right)}^{7/2}}{56}-\frac{109\,{\left(2\,x+3\right)}^{9/2}}{72}+\frac{47\,{\left(2\,x+3\right)}^{11/2}}{88}-\frac{3\,{\left(2\,x+3\right)}^{13/2}}{104}","Not used",1,"(65*(2*x + 3)^(7/2))/56 - (109*(2*x + 3)^(9/2))/72 + (47*(2*x + 3)^(11/2))/88 - (3*(2*x + 3)^(13/2))/104","B"
2528,1,37,53,0.036676,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2),x)","\frac{13\,{\left(2\,x+3\right)}^{5/2}}{8}-\frac{109\,{\left(2\,x+3\right)}^{7/2}}{56}+\frac{47\,{\left(2\,x+3\right)}^{9/2}}{72}-\frac{3\,{\left(2\,x+3\right)}^{11/2}}{88}","Not used",1,"(13*(2*x + 3)^(5/2))/8 - (109*(2*x + 3)^(7/2))/56 + (47*(2*x + 3)^(9/2))/72 - (3*(2*x + 3)^(11/2))/88","B"
2529,1,37,53,0.037707,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2),x)","\frac{65\,{\left(2\,x+3\right)}^{3/2}}{24}-\frac{109\,{\left(2\,x+3\right)}^{5/2}}{40}+\frac{47\,{\left(2\,x+3\right)}^{7/2}}{56}-\frac{{\left(2\,x+3\right)}^{9/2}}{24}","Not used",1,"(65*(2*x + 3)^(3/2))/24 - (109*(2*x + 3)^(5/2))/40 + (47*(2*x + 3)^(7/2))/56 - (2*x + 3)^(9/2)/24","B"
2530,1,37,53,0.034901,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2))/(2*x + 3)^(1/2),x)","\frac{65\,\sqrt{2\,x+3}}{8}-\frac{109\,{\left(2\,x+3\right)}^{3/2}}{24}+\frac{47\,{\left(2\,x+3\right)}^{5/2}}{40}-\frac{3\,{\left(2\,x+3\right)}^{7/2}}{56}","Not used",1,"(65*(2*x + 3)^(1/2))/8 - (109*(2*x + 3)^(3/2))/24 + (47*(2*x + 3)^(5/2))/40 - (3*(2*x + 3)^(7/2))/56","B"
2531,1,37,53,0.038961,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2))/(2*x + 3)^(3/2),x)","\frac{47\,{\left(2\,x+3\right)}^{3/2}}{24}-\frac{109\,\sqrt{2\,x+3}}{8}-\frac{65}{8\,\sqrt{2\,x+3}}-\frac{3\,{\left(2\,x+3\right)}^{5/2}}{40}","Not used",1,"(47*(2*x + 3)^(3/2))/24 - (109*(2*x + 3)^(1/2))/8 - 65/(8*(2*x + 3)^(1/2)) - (3*(2*x + 3)^(5/2))/40","B"
2532,1,38,53,0.047410,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2))/(2*x + 3)^(5/2),x)","\frac{654\,x+141\,{\left(2\,x+3\right)}^2-3\,{\left(2\,x+3\right)}^3+916}{\sqrt{2\,x+3}\,\left(48\,x+72\right)}","Not used",1,"(654*x + 141*(2*x + 3)^2 - 3*(2*x + 3)^3 + 916)/((2*x + 3)^(1/2)*(48*x + 72))","B"
2533,1,24,53,2.370786,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2))/(2*x + 3)^(7/2),x)","-\frac{9\,x^3+111\,x^2+245\,x+153}{3\,{\left(2\,x+3\right)}^{5/2}}","Not used",1,"-(245*x + 111*x^2 + 9*x^3 + 153)/(3*(2*x + 3)^(5/2))","B"
2534,1,55,79,2.389631,"\text{Not used}","int(-(2*x + 3)^(7/2)*(x - 5)*(5*x + 3*x^2 + 2)^2,x)","\frac{325\,{\left(2\,x+3\right)}^{9/2}}{288}-\frac{1065\,{\left(2\,x+3\right)}^{11/2}}{352}+\frac{651\,{\left(2\,x+3\right)}^{13/2}}{208}-\frac{359\,{\left(2\,x+3\right)}^{15/2}}{240}+\frac{165\,{\left(2\,x+3\right)}^{17/2}}{544}-\frac{9\,{\left(2\,x+3\right)}^{19/2}}{608}","Not used",1,"(325*(2*x + 3)^(9/2))/288 - (1065*(2*x + 3)^(11/2))/352 + (651*(2*x + 3)^(13/2))/208 - (359*(2*x + 3)^(15/2))/240 + (165*(2*x + 3)^(17/2))/544 - (9*(2*x + 3)^(19/2))/608","B"
2535,1,55,79,0.028943,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^2,x)","\frac{325\,{\left(2\,x+3\right)}^{7/2}}{224}-\frac{355\,{\left(2\,x+3\right)}^{9/2}}{96}+\frac{651\,{\left(2\,x+3\right)}^{11/2}}{176}-\frac{359\,{\left(2\,x+3\right)}^{13/2}}{208}+\frac{11\,{\left(2\,x+3\right)}^{15/2}}{32}-\frac{9\,{\left(2\,x+3\right)}^{17/2}}{544}","Not used",1,"(325*(2*x + 3)^(7/2))/224 - (355*(2*x + 3)^(9/2))/96 + (651*(2*x + 3)^(11/2))/176 - (359*(2*x + 3)^(13/2))/208 + (11*(2*x + 3)^(15/2))/32 - (9*(2*x + 3)^(17/2))/544","B"
2536,1,55,79,0.027265,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^2,x)","\frac{65\,{\left(2\,x+3\right)}^{5/2}}{32}-\frac{1065\,{\left(2\,x+3\right)}^{7/2}}{224}+\frac{217\,{\left(2\,x+3\right)}^{9/2}}{48}-\frac{359\,{\left(2\,x+3\right)}^{11/2}}{176}+\frac{165\,{\left(2\,x+3\right)}^{13/2}}{416}-\frac{3\,{\left(2\,x+3\right)}^{15/2}}{160}","Not used",1,"(65*(2*x + 3)^(5/2))/32 - (1065*(2*x + 3)^(7/2))/224 + (217*(2*x + 3)^(9/2))/48 - (359*(2*x + 3)^(11/2))/176 + (165*(2*x + 3)^(13/2))/416 - (3*(2*x + 3)^(15/2))/160","B"
2537,1,55,79,0.031224,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^2,x)","\frac{325\,{\left(2\,x+3\right)}^{3/2}}{96}-\frac{213\,{\left(2\,x+3\right)}^{5/2}}{32}+\frac{93\,{\left(2\,x+3\right)}^{7/2}}{16}-\frac{359\,{\left(2\,x+3\right)}^{9/2}}{144}+\frac{15\,{\left(2\,x+3\right)}^{11/2}}{32}-\frac{9\,{\left(2\,x+3\right)}^{13/2}}{416}","Not used",1,"(325*(2*x + 3)^(3/2))/96 - (213*(2*x + 3)^(5/2))/32 + (93*(2*x + 3)^(7/2))/16 - (359*(2*x + 3)^(9/2))/144 + (15*(2*x + 3)^(11/2))/32 - (9*(2*x + 3)^(13/2))/416","B"
2538,1,55,79,0.026980,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^2)/(2*x + 3)^(1/2),x)","\frac{325\,\sqrt{2\,x+3}}{32}-\frac{355\,{\left(2\,x+3\right)}^{3/2}}{32}+\frac{651\,{\left(2\,x+3\right)}^{5/2}}{80}-\frac{359\,{\left(2\,x+3\right)}^{7/2}}{112}+\frac{55\,{\left(2\,x+3\right)}^{9/2}}{96}-\frac{9\,{\left(2\,x+3\right)}^{11/2}}{352}","Not used",1,"(325*(2*x + 3)^(1/2))/32 - (355*(2*x + 3)^(3/2))/32 + (651*(2*x + 3)^(5/2))/80 - (359*(2*x + 3)^(7/2))/112 + (55*(2*x + 3)^(9/2))/96 - (9*(2*x + 3)^(11/2))/352","B"
2539,1,55,79,0.029134,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^2)/(2*x + 3)^(3/2),x)","\frac{217\,{\left(2\,x+3\right)}^{3/2}}{16}-\frac{1065\,\sqrt{2\,x+3}}{32}-\frac{325}{32\,\sqrt{2\,x+3}}-\frac{359\,{\left(2\,x+3\right)}^{5/2}}{80}+\frac{165\,{\left(2\,x+3\right)}^{7/2}}{224}-\frac{{\left(2\,x+3\right)}^{9/2}}{32}","Not used",1,"(217*(2*x + 3)^(3/2))/16 - (1065*(2*x + 3)^(1/2))/32 - 325/(32*(2*x + 3)^(1/2)) - (359*(2*x + 3)^(5/2))/80 + (165*(2*x + 3)^(7/2))/224 - (2*x + 3)^(9/2)/32","B"
2540,1,50,79,0.028012,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^2)/(2*x + 3)^(5/2),x)","\frac{\frac{1065\,x}{16}+\frac{2315}{24}}{{\left(2\,x+3\right)}^{3/2}}+\frac{651\,\sqrt{2\,x+3}}{16}-\frac{359\,{\left(2\,x+3\right)}^{3/2}}{48}+\frac{33\,{\left(2\,x+3\right)}^{5/2}}{32}-\frac{9\,{\left(2\,x+3\right)}^{7/2}}{224}","Not used",1,"((1065*x)/16 + 2315/24)/(2*x + 3)^(3/2) + (651*(2*x + 3)^(1/2))/16 - (359*(2*x + 3)^(3/2))/48 + (33*(2*x + 3)^(5/2))/32 - (9*(2*x + 3)^(7/2))/224","B"
2541,1,50,79,0.041332,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^2)/(2*x + 3)^(7/2),x)","\frac{\frac{355\,x}{16}-\frac{651\,{\left(2\,x+3\right)}^2}{16}+\frac{125}{4}}{{\left(2\,x+3\right)}^{5/2}}-\frac{359\,\sqrt{2\,x+3}}{16}+\frac{55\,{\left(2\,x+3\right)}^{3/2}}{32}-\frac{9\,{\left(2\,x+3\right)}^{5/2}}{160}","Not used",1,"((355*x)/16 - (651*(2*x + 3)^2)/16 + 125/4)/(2*x + 3)^(5/2) - (359*(2*x + 3)^(1/2))/16 + (55*(2*x + 3)^(3/2))/32 - (9*(2*x + 3)^(5/2))/160","B"
2542,1,73,105,0.034547,"\text{Not used}","int(-(2*x + 3)^(7/2)*(x - 5)*(5*x + 3*x^2 + 2)^3,x)","\frac{1625\,{\left(2\,x+3\right)}^{9/2}}{1152}-\frac{7925\,{\left(2\,x+3\right)}^{11/2}}{1408}+\frac{16005\,{\left(2\,x+3\right)}^{13/2}}{1664}-\frac{17201\,{\left(2\,x+3\right)}^{15/2}}{1920}+\frac{10475\,{\left(2\,x+3\right)}^{17/2}}{2176}-\frac{3519\,{\left(2\,x+3\right)}^{19/2}}{2432}+\frac{27\,{\left(2\,x+3\right)}^{21/2}}{128}-\frac{27\,{\left(2\,x+3\right)}^{23/2}}{2944}","Not used",1,"(1625*(2*x + 3)^(9/2))/1152 - (7925*(2*x + 3)^(11/2))/1408 + (16005*(2*x + 3)^(13/2))/1664 - (17201*(2*x + 3)^(15/2))/1920 + (10475*(2*x + 3)^(17/2))/2176 - (3519*(2*x + 3)^(19/2))/2432 + (27*(2*x + 3)^(21/2))/128 - (27*(2*x + 3)^(23/2))/2944","B"
2543,1,73,105,0.034217,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^3,x)","\frac{1625\,{\left(2\,x+3\right)}^{7/2}}{896}-\frac{7925\,{\left(2\,x+3\right)}^{9/2}}{1152}+\frac{1455\,{\left(2\,x+3\right)}^{11/2}}{128}-\frac{17201\,{\left(2\,x+3\right)}^{13/2}}{1664}+\frac{2095\,{\left(2\,x+3\right)}^{15/2}}{384}-\frac{207\,{\left(2\,x+3\right)}^{17/2}}{128}+\frac{567\,{\left(2\,x+3\right)}^{19/2}}{2432}-\frac{9\,{\left(2\,x+3\right)}^{21/2}}{896}","Not used",1,"(1625*(2*x + 3)^(7/2))/896 - (7925*(2*x + 3)^(9/2))/1152 + (1455*(2*x + 3)^(11/2))/128 - (17201*(2*x + 3)^(13/2))/1664 + (2095*(2*x + 3)^(15/2))/384 - (207*(2*x + 3)^(17/2))/128 + (567*(2*x + 3)^(19/2))/2432 - (9*(2*x + 3)^(21/2))/896","B"
2544,1,73,105,0.034574,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^3,x)","\frac{325\,{\left(2\,x+3\right)}^{5/2}}{128}-\frac{7925\,{\left(2\,x+3\right)}^{7/2}}{896}+\frac{5335\,{\left(2\,x+3\right)}^{9/2}}{384}-\frac{17201\,{\left(2\,x+3\right)}^{11/2}}{1408}+\frac{10475\,{\left(2\,x+3\right)}^{13/2}}{1664}-\frac{1173\,{\left(2\,x+3\right)}^{15/2}}{640}+\frac{567\,{\left(2\,x+3\right)}^{17/2}}{2176}-\frac{27\,{\left(2\,x+3\right)}^{19/2}}{2432}","Not used",1,"(325*(2*x + 3)^(5/2))/128 - (7925*(2*x + 3)^(7/2))/896 + (5335*(2*x + 3)^(9/2))/384 - (17201*(2*x + 3)^(11/2))/1408 + (10475*(2*x + 3)^(13/2))/1664 - (1173*(2*x + 3)^(15/2))/640 + (567*(2*x + 3)^(17/2))/2176 - (27*(2*x + 3)^(19/2))/2432","B"
2545,1,73,105,0.034872,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^3,x)","\frac{1625\,{\left(2\,x+3\right)}^{3/2}}{384}-\frac{1585\,{\left(2\,x+3\right)}^{5/2}}{128}+\frac{16005\,{\left(2\,x+3\right)}^{7/2}}{896}-\frac{17201\,{\left(2\,x+3\right)}^{9/2}}{1152}+\frac{10475\,{\left(2\,x+3\right)}^{11/2}}{1408}-\frac{3519\,{\left(2\,x+3\right)}^{13/2}}{1664}+\frac{189\,{\left(2\,x+3\right)}^{15/2}}{640}-\frac{27\,{\left(2\,x+3\right)}^{17/2}}{2176}","Not used",1,"(1625*(2*x + 3)^(3/2))/384 - (1585*(2*x + 3)^(5/2))/128 + (16005*(2*x + 3)^(7/2))/896 - (17201*(2*x + 3)^(9/2))/1152 + (10475*(2*x + 3)^(11/2))/1408 - (3519*(2*x + 3)^(13/2))/1664 + (189*(2*x + 3)^(15/2))/640 - (27*(2*x + 3)^(17/2))/2176","B"
2546,1,73,105,0.034754,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^3)/(2*x + 3)^(1/2),x)","\frac{1625\,\sqrt{2\,x+3}}{128}-\frac{7925\,{\left(2\,x+3\right)}^{3/2}}{384}+\frac{3201\,{\left(2\,x+3\right)}^{5/2}}{128}-\frac{17201\,{\left(2\,x+3\right)}^{7/2}}{896}+\frac{10475\,{\left(2\,x+3\right)}^{9/2}}{1152}-\frac{3519\,{\left(2\,x+3\right)}^{11/2}}{1408}+\frac{567\,{\left(2\,x+3\right)}^{13/2}}{1664}-\frac{9\,{\left(2\,x+3\right)}^{15/2}}{640}","Not used",1,"(1625*(2*x + 3)^(1/2))/128 - (7925*(2*x + 3)^(3/2))/384 + (3201*(2*x + 3)^(5/2))/128 - (17201*(2*x + 3)^(7/2))/896 + (10475*(2*x + 3)^(9/2))/1152 - (3519*(2*x + 3)^(11/2))/1408 + (567*(2*x + 3)^(13/2))/1664 - (9*(2*x + 3)^(15/2))/640","B"
2547,1,73,105,0.036042,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^3)/(2*x + 3)^(3/2),x)","\frac{5335\,{\left(2\,x+3\right)}^{3/2}}{128}-\frac{7925\,\sqrt{2\,x+3}}{128}-\frac{1625}{128\,\sqrt{2\,x+3}}-\frac{17201\,{\left(2\,x+3\right)}^{5/2}}{640}+\frac{10475\,{\left(2\,x+3\right)}^{7/2}}{896}-\frac{391\,{\left(2\,x+3\right)}^{9/2}}{128}+\frac{567\,{\left(2\,x+3\right)}^{11/2}}{1408}-\frac{27\,{\left(2\,x+3\right)}^{13/2}}{1664}","Not used",1,"(5335*(2*x + 3)^(3/2))/128 - (7925*(2*x + 3)^(1/2))/128 - 1625/(128*(2*x + 3)^(1/2)) - (17201*(2*x + 3)^(5/2))/640 + (10475*(2*x + 3)^(7/2))/896 - (391*(2*x + 3)^(9/2))/128 + (567*(2*x + 3)^(11/2))/1408 - (27*(2*x + 3)^(13/2))/1664","B"
2548,1,68,105,0.032430,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^3)/(2*x + 3)^(5/2),x)","\frac{\frac{7925\,x}{64}+\frac{17425}{96}}{{\left(2\,x+3\right)}^{3/2}}+\frac{16005\,\sqrt{2\,x+3}}{128}-\frac{17201\,{\left(2\,x+3\right)}^{3/2}}{384}+\frac{2095\,{\left(2\,x+3\right)}^{5/2}}{128}-\frac{3519\,{\left(2\,x+3\right)}^{7/2}}{896}+\frac{63\,{\left(2\,x+3\right)}^{9/2}}{128}-\frac{27\,{\left(2\,x+3\right)}^{11/2}}{1408}","Not used",1,"((7925*x)/64 + 17425/96)/(2*x + 3)^(3/2) + (16005*(2*x + 3)^(1/2))/128 - (17201*(2*x + 3)^(3/2))/384 + (2095*(2*x + 3)^(5/2))/128 - (3519*(2*x + 3)^(7/2))/896 + (63*(2*x + 3)^(9/2))/128 - (27*(2*x + 3)^(11/2))/1408","B"
2549,1,68,105,0.029768,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^3)/(2*x + 3)^(7/2),x)","\frac{\frac{7925\,x}{192}-\frac{16005\,{\left(2\,x+3\right)}^2}{128}+\frac{475}{8}}{{\left(2\,x+3\right)}^{5/2}}-\frac{17201\,\sqrt{2\,x+3}}{128}+\frac{10475\,{\left(2\,x+3\right)}^{3/2}}{384}-\frac{3519\,{\left(2\,x+3\right)}^{5/2}}{640}+\frac{81\,{\left(2\,x+3\right)}^{7/2}}{128}-\frac{3\,{\left(2\,x+3\right)}^{9/2}}{128}","Not used",1,"((7925*x)/192 - (16005*(2*x + 3)^2)/128 + 475/8)/(2*x + 3)^(5/2) - (17201*(2*x + 3)^(1/2))/128 + (10475*(2*x + 3)^(3/2))/384 - (3519*(2*x + 3)^(5/2))/640 + (81*(2*x + 3)^(7/2))/128 - (3*(2*x + 3)^(9/2))/128","B"
2550,1,71,94,2.383156,"\text{Not used}","int(-((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{3278\,\sqrt{2\,x+3}}{81}+\frac{526\,{\left(2\,x+3\right)}^{3/2}}{81}+\frac{62\,{\left(2\,x+3\right)}^{5/2}}{45}-\frac{2\,{\left(2\,x+3\right)}^{7/2}}{21}-\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,12{}\mathrm{i}+\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,4250{}\mathrm{i}}{243}","Not used",1,"(15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*4250i)/243 - atan((2*x + 3)^(1/2)*1i)*12i + (3278*(2*x + 3)^(1/2))/81 + (526*(2*x + 3)^(3/2))/81 + (62*(2*x + 3)^(5/2))/45 - (2*(2*x + 3)^(7/2))/21","B"
2551,1,62,81,0.057821,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{526\,\sqrt{2\,x+3}}{27}+\frac{62\,{\left(2\,x+3\right)}^{3/2}}{27}-\frac{2\,{\left(2\,x+3\right)}^{5/2}}{15}-\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,12{}\mathrm{i}+\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,850{}\mathrm{i}}{81}","Not used",1,"(15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*850i)/81 - atan((2*x + 3)^(1/2)*1i)*12i + (526*(2*x + 3)^(1/2))/27 + (62*(2*x + 3)^(3/2))/27 - (2*(2*x + 3)^(5/2))/15","B"
2552,1,53,68,0.072191,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2),x)","\frac{62\,\sqrt{2\,x+3}}{9}-\frac{2\,{\left(2\,x+3\right)}^{3/2}}{9}-\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,12{}\mathrm{i}+\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,170{}\mathrm{i}}{27}","Not used",1,"(15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*170i)/27 - atan((2*x + 3)^(1/2)*1i)*12i + (62*(2*x + 3)^(1/2))/9 - (2*(2*x + 3)^(3/2))/9","B"
2553,1,38,55,0.065416,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2),x)","12\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{34\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{9}-\frac{2\,\sqrt{2\,x+3}}{3}","Not used",1,"12*atanh((2*x + 3)^(1/2)) - (34*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/9 - (2*(2*x + 3)^(1/2))/3","B"
2554,1,29,38,0.058570,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)),x)","12\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{34\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{15}","Not used",1,"12*atanh((2*x + 3)^(1/2)) - (34*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/15","B"
2555,1,38,55,2.371230,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)),x)","12\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{34\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{25}-\frac{26}{5\,\sqrt{2\,x+3}}","Not used",1,"12*atanh((2*x + 3)^(1/2)) - (34*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/25 - 26/(5*(2*x + 3)^(1/2))","B"
2556,1,43,68,0.071910,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)),x)","12\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{\frac{396\,x}{25}+\frac{1912}{75}}{{\left(2\,x+3\right)}^{3/2}}-\frac{102\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{125}","Not used",1,"12*atanh((2*x + 3)^(1/2)) - ((396*x)/25 + 1912/75)/(2*x + 3)^(3/2) - (102*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/125","B"
2557,1,52,81,0.072323,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)),x)","12\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{\frac{132\,x}{25}+\frac{1194\,{\left(2\,x+3\right)}^2}{125}+\frac{224}{25}}{{\left(2\,x+3\right)}^{5/2}}-\frac{306\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{625}","Not used",1,"12*atanh((2*x + 3)^(1/2)) - ((132*x)/25 + (1194*(2*x + 3)^2)/125 + 224/25)/(2*x + 3)^(5/2) - (306*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/625","B"
2558,1,90,98,0.064997,"\text{Not used}","int(-((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","\frac{184\,\sqrt{2\,x+3}}{27}-\frac{\frac{5870\,\sqrt{2\,x+3}}{81}-\frac{5222\,{\left(2\,x+3\right)}^{3/2}}{81}}{\frac{16\,x}{3}-{\left(2\,x+3\right)}^2+\frac{19}{3}}-\frac{8\,{\left(2\,x+3\right)}^{3/2}}{27}+\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,154{}\mathrm{i}-\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,2800{}\mathrm{i}}{81}","Not used",1,"atan((2*x + 3)^(1/2)*1i)*154i - ((5870*(2*x + 3)^(1/2))/81 - (5222*(2*x + 3)^(3/2))/81)/((16*x)/3 - (2*x + 3)^2 + 19/3) - (15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*2800i)/81 + (184*(2*x + 3)^(1/2))/27 - (8*(2*x + 3)^(3/2))/27","B"
2559,1,81,81,0.078215,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","-\frac{\frac{1390\,\sqrt{2\,x+3}}{27}-\frac{1174\,{\left(2\,x+3\right)}^{3/2}}{27}}{\frac{16\,x}{3}-{\left(2\,x+3\right)}^2+\frac{19}{3}}-\frac{8\,\sqrt{2\,x+3}}{9}+\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,130{}\mathrm{i}-\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,100{}\mathrm{i}}{3}","Not used",1,"atan((2*x + 3)^(1/2)*1i)*130i - ((1390*(2*x + 3)^(1/2))/27 - (1174*(2*x + 3)^(3/2))/27)/((16*x)/3 - (2*x + 3)^2 + 19/3) - (15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*100i)/3 - (8*(2*x + 3)^(1/2))/9","B"
2560,1,66,72,2.409432,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","\frac{248\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{9}-\frac{\frac{350\,\sqrt{2\,x+3}}{9}-\frac{278\,{\left(2\,x+3\right)}^{3/2}}{9}}{\frac{16\,x}{3}-{\left(2\,x+3\right)}^2+\frac{19}{3}}-106\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)","Not used",1,"(248*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/9 - ((350*(2*x + 3)^(1/2))/9 - (278*(2*x + 3)^(3/2))/9)/((16*x)/3 - (2*x + 3)^2 + 19/3) - 106*atanh((2*x + 3)^(1/2))","B"
2561,1,66,66,2.400859,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^2,x)","\frac{316\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{15}-\frac{\frac{94\,\sqrt{2\,x+3}}{3}-\frac{70\,{\left(2\,x+3\right)}^{3/2}}{3}}{\frac{16\,x}{3}-{\left(2\,x+3\right)}^2+\frac{19}{3}}-82\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)","Not used",1,"(316*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/15 - ((94*(2*x + 3)^(1/2))/3 - (70*(2*x + 3)^(3/2))/3)/((16*x)/3 - (2*x + 3)^2 + 19/3) - 82*atanh((2*x + 3)^(1/2))","B"
2562,1,66,72,0.066877,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^2),x)","\frac{384\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{25}-\frac{\frac{134\,\sqrt{2\,x+3}}{5}-\frac{94\,{\left(2\,x+3\right)}^{3/2}}{5}}{\frac{16\,x}{3}-{\left(2\,x+3\right)}^2+\frac{19}{3}}-58\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)","Not used",1,"(384*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/25 - ((134*(2*x + 3)^(1/2))/5 - (94*(2*x + 3)^(3/2))/5)/((16*x)/3 - (2*x + 3)^2 + 19/3) - 58*atanh((2*x + 3)^(1/2))","B"
2563,1,72,85,0.072038,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^2),x)","\frac{1356\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{125}-34\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{\frac{5276\,x}{75}-\frac{506\,{\left(2\,x+3\right)}^2}{25}+\frac{7394}{75}}{\frac{5\,\sqrt{2\,x+3}}{3}-\frac{8\,{\left(2\,x+3\right)}^{3/2}}{3}+{\left(2\,x+3\right)}^{5/2}}","Not used",1,"(1356*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/125 - 34*atanh((2*x + 3)^(1/2)) + ((5276*x)/75 - (506*(2*x + 3)^2)/25 + 7394/75)/((5*(2*x + 3)^(1/2))/3 - (8*(2*x + 3)^(3/2))/3 + (2*x + 3)^(5/2))","B"
2564,1,82,98,0.071303,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^2),x)","\frac{936\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{125}-10\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{\frac{1616\,x}{45}-\frac{4178\,{\left(2\,x+3\right)}^2}{75}+\frac{686\,{\left(2\,x+3\right)}^3}{25}+\frac{2528}{45}}{\frac{5\,{\left(2\,x+3\right)}^{3/2}}{3}-\frac{8\,{\left(2\,x+3\right)}^{5/2}}{3}+{\left(2\,x+3\right)}^{7/2}}","Not used",1,"(936*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/125 - 10*atanh((2*x + 3)^(1/2)) - ((1616*x)/45 - (4178*(2*x + 3)^2)/75 + (686*(2*x + 3)^3)/25 + 2528/45)/((5*(2*x + 3)^(3/2))/3 - (8*(2*x + 3)^(5/2))/3 + (2*x + 3)^(7/2))","B"
2565,1,91,111,0.074902,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^2),x)","14\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{15876\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{3125}-\frac{\frac{11248\,x}{1125}+\frac{36568\,{\left(2\,x+3\right)}^2}{1125}-\frac{161798\,{\left(2\,x+3\right)}^3}{1875}+\frac{24626\,{\left(2\,x+3\right)}^4}{625}+\frac{2048}{125}}{\frac{5\,{\left(2\,x+3\right)}^{5/2}}{3}-\frac{8\,{\left(2\,x+3\right)}^{7/2}}{3}+{\left(2\,x+3\right)}^{9/2}}","Not used",1,"14*atanh((2*x + 3)^(1/2)) + (15876*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/3125 - ((11248*x)/1125 + (36568*(2*x + 3)^2)/1125 - (161798*(2*x + 3)^3)/1875 + (24626*(2*x + 3)^4)/625 + 2048/125)/((5*(2*x + 3)^(5/2))/3 - (8*(2*x + 3)^(7/2))/3 + (2*x + 3)^(9/2))","B"
2566,1,116,115,2.413345,"\text{Not used}","int(-((2*x + 3)^(9/2)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","\frac{\frac{297925\,\sqrt{2\,x+3}}{243}-\frac{717035\,{\left(2\,x+3\right)}^{3/2}}{243}+\frac{554983\,{\left(2\,x+3\right)}^{5/2}}{243}-\frac{15241\,{\left(2\,x+3\right)}^{7/2}}{27}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{32\,\sqrt{2\,x+3}}{27}-\mathrm{atan}\left(\sqrt{2\,x+3}\,1{}\mathrm{i}\right)\,1962{}\mathrm{i}+\frac{\sqrt{15}\,\mathrm{atan}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}\,1{}\mathrm{i}}{5}\right)\,13675{}\mathrm{i}}{27}","Not used",1,"((297925*(2*x + 3)^(1/2))/243 - (717035*(2*x + 3)^(3/2))/243 + (554983*(2*x + 3)^(5/2))/243 - (15241*(2*x + 3)^(7/2))/27)/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - atan((2*x + 3)^(1/2)*1i)*1962i + (15^(1/2)*atan((15^(1/2)*(2*x + 3)^(1/2)*1i)/5)*13675i)/27 - (32*(2*x + 3)^(1/2))/27","B"
2567,1,101,100,2.423539,"\text{Not used}","int(-((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","1582\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{\frac{2975\,\sqrt{2\,x+3}}{3}-\frac{64505\,{\left(2\,x+3\right)}^{3/2}}{27}+\frac{50029\,{\left(2\,x+3\right)}^{5/2}}{27}-\frac{12443\,{\left(2\,x+3\right)}^{7/2}}{27}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{1225\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{3}","Not used",1,"1582*atanh((2*x + 3)^(1/2)) + ((2975*(2*x + 3)^(1/2))/3 - (64505*(2*x + 3)^(3/2))/27 + (50029*(2*x + 3)^(5/2))/27 - (12443*(2*x + 3)^(7/2))/27)/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - (1225*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/3","B"
2568,1,101,102,0.069393,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","1250\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{\frac{21125\,\sqrt{2\,x+3}}{27}-\frac{50875\,{\left(2\,x+3\right)}^{3/2}}{27}+\frac{39431\,{\left(2\,x+3\right)}^{5/2}}{27}-\frac{3275\,{\left(2\,x+3\right)}^{7/2}}{9}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{2905\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{9}","Not used",1,"1250*atanh((2*x + 3)^(1/2)) + ((21125*(2*x + 3)^(1/2))/27 - (50875*(2*x + 3)^(3/2))/27 + (39431*(2*x + 3)^(5/2))/27 - (3275*(2*x + 3)^(7/2))/9)/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - (2905*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/9","B"
2569,1,101,100,0.071067,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","966\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{605\,\sqrt{2\,x+3}-\frac{13115\,{\left(2\,x+3\right)}^{3/2}}{9}+\frac{10151\,{\left(2\,x+3\right)}^{5/2}}{9}-281\,{\left(2\,x+3\right)}^{7/2}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{1247\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{5}","Not used",1,"966*atanh((2*x + 3)^(1/2)) + (605*(2*x + 3)^(1/2) - (13115*(2*x + 3)^(3/2))/9 + (10151*(2*x + 3)^(5/2))/9 - 281*(2*x + 3)^(7/2))/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - (1247*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/5","B"
2570,1,101,102,2.392153,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^3,x)","730\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{\frac{4111\,\sqrt{2\,x+3}}{9}-\frac{49637\,{\left(2\,x+3\right)}^{3/2}}{45}+\frac{12803\,{\left(2\,x+3\right)}^{5/2}}{15}-\frac{1063\,{\left(2\,x+3\right)}^{7/2}}{5}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{4713\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{25}","Not used",1,"730*atanh((2*x + 3)^(1/2)) + ((4111*(2*x + 3)^(1/2))/9 - (49637*(2*x + 3)^(3/2))/45 + (12803*(2*x + 3)^(5/2))/15 - (1063*(2*x + 3)^(7/2))/5)/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - (4713*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/25","B"
2571,1,101,102,2.401038,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^3),x)","542\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)+\frac{\frac{2989\,\sqrt{2\,x+3}}{9}-\frac{181867\,{\left(2\,x+3\right)}^{3/2}}{225}+\frac{47053\,{\left(2\,x+3\right)}^{5/2}}{75}-\frac{3913\,{\left(2\,x+3\right)}^{7/2}}{25}}{\frac{160\,x}{9}-\frac{94\,{\left(2\,x+3\right)}^2}{9}+\frac{16\,{\left(2\,x+3\right)}^3}{3}-{\left(2\,x+3\right)}^4+\frac{215}{9}}-\frac{17463\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{125}","Not used",1,"542*atanh((2*x + 3)^(1/2)) + ((2989*(2*x + 3)^(1/2))/9 - (181867*(2*x + 3)^(3/2))/225 + (47053*(2*x + 3)^(5/2))/75 - (3913*(2*x + 3)^(7/2))/25)/((160*x)/9 - (94*(2*x + 3)^2)/9 + (16*(2*x + 3)^3)/3 - (2*x + 3)^4 + 215/9) - (17463*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/125","B"
2572,1,109,115,2.402298,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^3),x)","402\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{12717\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{125}-\frac{\frac{17606\,x}{45}-\frac{13097\,{\left(2\,x+3\right)}^2}{25}+\frac{10509\,{\left(2\,x+3\right)}^3}{25}-\frac{2667\,{\left(2\,x+3\right)}^4}{25}+\frac{5365}{9}}{\frac{25\,\sqrt{2\,x+3}}{9}-\frac{80\,{\left(2\,x+3\right)}^{3/2}}{9}+\frac{94\,{\left(2\,x+3\right)}^{5/2}}{9}-\frac{16\,{\left(2\,x+3\right)}^{7/2}}{3}+{\left(2\,x+3\right)}^{9/2}}","Not used",1,"402*atanh((2*x + 3)^(1/2)) - (12717*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/125 - ((17606*x)/45 - (13097*(2*x + 3)^2)/25 + (10509*(2*x + 3)^3)/25 - (2667*(2*x + 3)^4)/25 + 5365/9)/((25*(2*x + 3)^(1/2))/9 - (80*(2*x + 3)^(3/2))/9 + (94*(2*x + 3)^(5/2))/9 - (16*(2*x + 3)^(7/2))/3 + (2*x + 3)^(9/2))","B"
2573,1,118,128,0.080279,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^3),x)","310\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{45603\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{625}-\frac{\frac{45632\,x}{675}+\frac{2023\,{\left(2\,x+3\right)}^2}{675}-\frac{68789\,{\left(2\,x+3\right)}^3}{375}+\frac{24131\,{\left(2\,x+3\right)}^4}{125}-\frac{6853\,{\left(2\,x+3\right)}^5}{125}+\frac{70528}{675}}{\frac{25\,{\left(2\,x+3\right)}^{3/2}}{9}-\frac{80\,{\left(2\,x+3\right)}^{5/2}}{9}+\frac{94\,{\left(2\,x+3\right)}^{7/2}}{9}-\frac{16\,{\left(2\,x+3\right)}^{9/2}}{3}+{\left(2\,x+3\right)}^{11/2}}","Not used",1,"310*atanh((2*x + 3)^(1/2)) - (45603*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/625 - ((45632*x)/675 + (2023*(2*x + 3)^2)/675 - (68789*(2*x + 3)^3)/375 + (24131*(2*x + 3)^4)/125 - (6853*(2*x + 3)^5)/125 + 70528/675)/((25*(2*x + 3)^(3/2))/9 - (80*(2*x + 3)^(5/2))/9 + (94*(2*x + 3)^(7/2))/9 - (16*(2*x + 3)^(9/2))/3 + (2*x + 3)^(11/2))","B"
2574,1,127,141,0.079254,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^3),x)","266\,\mathrm{atanh}\left(\sqrt{2\,x+3}\right)-\frac{806841\,\sqrt{15}\,\mathrm{atanh}\left(\frac{\sqrt{15}\,\sqrt{2\,x+3}}{5}\right)}{15625}-\frac{\frac{58304\,x}{3375}+\frac{1389152\,{\left(2\,x+3\right)}^2}{16875}-\frac{4944019\,{\left(2\,x+3\right)}^3}{16875}+\frac{2657417\,{\left(2\,x+3\right)}^4}{9375}-\frac{301343\,{\left(2\,x+3\right)}^5}{3125}+\frac{24409\,{\left(2\,x+3\right)}^6}{3125}+\frac{31232}{1125}}{\frac{25\,{\left(2\,x+3\right)}^{5/2}}{9}-\frac{80\,{\left(2\,x+3\right)}^{7/2}}{9}+\frac{94\,{\left(2\,x+3\right)}^{9/2}}{9}-\frac{16\,{\left(2\,x+3\right)}^{11/2}}{3}+{\left(2\,x+3\right)}^{13/2}}","Not used",1,"266*atanh((2*x + 3)^(1/2)) - (806841*15^(1/2)*atanh((15^(1/2)*(2*x + 3)^(1/2))/5))/15625 - ((58304*x)/3375 + (1389152*(2*x + 3)^2)/16875 - (4944019*(2*x + 3)^3)/16875 + (2657417*(2*x + 3)^4)/9375 - (301343*(2*x + 3)^5)/3125 + (24409*(2*x + 3)^6)/3125 + 31232/1125)/((25*(2*x + 3)^(5/2))/9 - (80*(2*x + 3)^(7/2))/9 + (94*(2*x + 3)^(9/2))/9 - (16*(2*x + 3)^(11/2))/3 + (2*x + 3)^(13/2))","B"
2575,1,143,105,3.273553,"\text{Not used}","int((10*x + 35^(1/2) + 5)/((2*x + 1)^(1/2)*(3*x + 5*x^2 + 2)),x)","2\,\sqrt{\frac{10\,\sqrt{35}}{31}+\frac{20}{31}}\,\left(\mathrm{atan}\left(\frac{\sqrt{434}\,\left(39\,\sqrt{35}+140\right)\,\sqrt{2\,x+1}\,{\left(\sqrt{35}-2\right)}^2\,\sqrt{\sqrt{35}+2}}{417074}\right)+\mathrm{atan}\left(\frac{31\,\sqrt{2\,x+1}\,\left(\frac{\sqrt{\frac{10\,\sqrt{35}}{31}+\frac{20}{31}}\,\left(10000\,\sqrt{35}+20000\right)}{39\,\sqrt{35}+140}-\frac{\sqrt{434}\,\left(\frac{390000\,\sqrt{35}}{31}+\frac{1400000}{31}\right)\,{\left(\sqrt{35}-2\right)}^2\,\sqrt{\sqrt{35}+2}}{417074}\right)}{10000}+\frac{\sqrt{434}\,\left(\frac{200000\,\sqrt{35}}{31}+\frac{1950000}{31}\right)\,{\left(2\,x+1\right)}^{3/2}\,{\left(\sqrt{35}-2\right)}^2\,\sqrt{\sqrt{35}+2}}{134540000}\right)\right)","Not used",1,"2*((10*35^(1/2))/31 + 20/31)^(1/2)*(atan((434^(1/2)*(39*35^(1/2) + 140)*(2*x + 1)^(1/2)*(35^(1/2) - 2)^2*(35^(1/2) + 2)^(1/2))/417074) + atan((31*(2*x + 1)^(1/2)*((((10*35^(1/2))/31 + 20/31)^(1/2)*(10000*35^(1/2) + 20000))/(39*35^(1/2) + 140) - (434^(1/2)*((390000*35^(1/2))/31 + 1400000/31)*(35^(1/2) - 2)^2*(35^(1/2) + 2)^(1/2))/417074))/10000 + (434^(1/2)*((200000*35^(1/2))/31 + 1950000/31)*(2*x + 1)^(3/2)*(35^(1/2) - 2)^2*(35^(1/2) + 2)^(1/2))/134540000))","B"
2576,0,-1,224,0.000000,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int {\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int((2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
2577,0,-1,197,0.000000,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int {\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int((2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
2578,0,-1,170,0.000000,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2),x)","-\int \sqrt{2\,x+3}\,\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2} \,d x","Not used",1,"-int((2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(1/2), x)","F"
2579,0,-1,143,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(1/2),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{\sqrt{2\,x+3}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(1/2), x)","F"
2580,0,-1,141,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(3/2),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^{3/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(3/2), x)","F"
2581,0,-1,143,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(5/2),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^{5/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(5/2), x)","F"
2582,0,-1,170,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(7/2),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^{7/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(7/2), x)","F"
2583,0,-1,197,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(9/2),x)","-\int \frac{\left(x-5\right)\,\sqrt{3\,x^2+5\,x+2}}{{\left(2\,x+3\right)}^{9/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(1/2))/(2*x + 3)^(9/2), x)","F"
2584,0,-1,256,0.000000,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int {\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2585,0,-1,229,0.000000,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int {\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2586,0,-1,202,0.000000,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2),x)","-\int \sqrt{2\,x+3}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2} \,d x","Not used",1,"-int((2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(3/2), x)","F"
2587,0,-1,175,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(1/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{\sqrt{2\,x+3}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(1/2), x)","F"
2588,0,-1,173,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(3/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{3/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(3/2), x)","F"
2589,0,-1,175,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(5/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{5/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(5/2), x)","F"
2590,0,-1,175,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(7/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{7/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(7/2), x)","F"
2591,0,-1,175,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(9/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{9/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(9/2), x)","F"
2592,0,-1,202,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(11/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{11/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(11/2), x)","F"
2593,0,-1,229,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(13/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{3/2}}{{\left(2\,x+3\right)}^{13/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(3/2))/(2*x + 3)^(13/2), x)","F"
2594,0,-1,288,0.000000,"\text{Not used}","int(-(2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int {\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^(5/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2595,0,-1,261,0.000000,"\text{Not used}","int(-(2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int {\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^(3/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2596,0,-1,234,0.000000,"\text{Not used}","int(-(2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2),x)","-\int \sqrt{2\,x+3}\,\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2} \,d x","Not used",1,"-int((2*x + 3)^(1/2)*(x - 5)*(5*x + 3*x^2 + 2)^(5/2), x)","F"
2597,0,-1,207,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(1/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{\sqrt{2\,x+3}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(1/2), x)","F"
2598,0,-1,205,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(3/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{3/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(3/2), x)","F"
2599,0,-1,205,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(5/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{5/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(5/2), x)","F"
2600,0,-1,207,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(7/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{7/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(7/2), x)","F"
2601,0,-1,207,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(9/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{9/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(9/2), x)","F"
2602,0,-1,207,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(11/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{11/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(11/2), x)","F"
2603,0,-1,207,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(13/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{13/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(13/2), x)","F"
2604,0,-1,234,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(15/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{15/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(15/2), x)","F"
2605,0,-1,261,0.000000,"\text{Not used}","int(-((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(17/2),x)","-\int \frac{\left(x-5\right)\,{\left(3\,x^2+5\,x+2\right)}^{5/2}}{{\left(2\,x+3\right)}^{17/2}} \,d x","Not used",1,"-int(((x - 5)*(5*x + 3*x^2 + 2)^(5/2))/(2*x + 3)^(17/2), x)","F"
2606,0,-1,192,0.000000,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{{\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2607,0,-1,165,0.000000,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{{\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2608,0,-1,138,0.000000,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2),x)","-\int \frac{\sqrt{2\,x+3}\,\left(x-5\right)}{\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int(((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(1/2), x)","F"
2609,0,-1,107,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{\sqrt{2\,x+3}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2610,0,-1,136,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{3/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2611,0,-1,165,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{5/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2612,0,-1,192,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(1/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{7/2}\,\sqrt{3\,x^2+5\,x+2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(1/2)), x)","F"
2613,0,-1,197,0.000000,"\text{Not used}","int(-((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^{7/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2614,0,-1,170,0.000000,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2615,0,-1,143,0.000000,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{{\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2616,0,-1,137,0.000000,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2),x)","-\int \frac{\sqrt{2\,x+3}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int(((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(3/2), x)","F"
2617,0,-1,141,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{\sqrt{2\,x+3}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2618,0,-1,170,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{3/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2619,0,-1,197,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{5/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2620,0,-1,224,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(3/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{7/2}\,{\left(3\,x^2+5\,x+2\right)}^{3/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(3/2)), x)","F"
2621,0,-1,202,0.000000,"\text{Not used}","int(-((2*x + 3)^(9/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^{9/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^(9/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2622,0,-1,175,0.000000,"\text{Not used}","int(-((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^{7/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^(7/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2623,0,-1,175,0.000000,"\text{Not used}","int(-((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^{5/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^(5/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2624,0,-1,175,0.000000,"\text{Not used}","int(-((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{{\left(2\,x+3\right)}^{3/2}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^(3/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2625,0,-1,173,0.000000,"\text{Not used}","int(-((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2),x)","-\int \frac{\sqrt{2\,x+3}\,\left(x-5\right)}{{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int(((2*x + 3)^(1/2)*(x - 5))/(5*x + 3*x^2 + 2)^(5/2), x)","F"
2626,0,-1,175,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{\sqrt{2\,x+3}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(1/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2627,0,-1,202,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{3/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(3/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2628,0,-1,229,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{5/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(5/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2629,0,-1,256,0.000000,"\text{Not used}","int(-(x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(5/2)),x)","-\int \frac{x-5}{{\left(2\,x+3\right)}^{7/2}\,{\left(3\,x^2+5\,x+2\right)}^{5/2}} \,d x","Not used",1,"-int((x - 5)/((2*x + 3)^(7/2)*(5*x + 3*x^2 + 2)^(5/2)), x)","F"
2630,0,-1,545,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(1/2), x)","F"
2631,0,-1,452,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(1/2), x)","F"
2632,0,-1,393,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{\sqrt{d+e\,x}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
2633,0,-1,460,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{3/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
2634,0,-1,591,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{5/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
2635,0,-1,678,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{5/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(5/2))/(a + b*x + c*x^2)^(3/2), x)","F"
2636,0,-1,530,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{3/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(3/2))/(a + b*x + c*x^2)^(3/2), x)","F"
2637,0,-1,460,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(A+B\,x\right)\,\sqrt{d+e\,x}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(1/2))/(a + b*x + c*x^2)^(3/2), x)","F"
2638,0,-1,528,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{\sqrt{d+e\,x}\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(3/2)), x)","F"
2639,0,-1,705,0.000000,"\text{Not used}","int((A + B*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{A+B\,x}{{\left(d+e\,x\right)}^{3/2}\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(3/2)), x)","F"
2640,1,6425,594,5.848454,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a + b*x + c*x^2)^3,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^3\,d^2\,e^6\,m^6-33\,B\,a^3\,d^2\,e^6\,m^5-445\,B\,a^3\,d^2\,e^6\,m^4-3135\,B\,a^3\,d^2\,e^6\,m^3-12154\,B\,a^3\,d^2\,e^6\,m^2-24552\,B\,a^3\,d^2\,e^6\,m-20160\,B\,a^3\,d^2\,e^6+A\,a^3\,d\,e^7\,m^7+35\,A\,a^3\,d\,e^7\,m^6+511\,A\,a^3\,d\,e^7\,m^5+4025\,A\,a^3\,d\,e^7\,m^4+18424\,A\,a^3\,d\,e^7\,m^3+48860\,A\,a^3\,d\,e^7\,m^2+69264\,A\,a^3\,d\,e^7\,m+40320\,A\,a^3\,d\,e^7+6\,B\,a^2\,b\,d^3\,e^5\,m^5+180\,B\,a^2\,b\,d^3\,e^5\,m^4+2130\,B\,a^2\,b\,d^3\,e^5\,m^3+12420\,B\,a^2\,b\,d^3\,e^5\,m^2+35664\,B\,a^2\,b\,d^3\,e^5\,m+40320\,B\,a^2\,b\,d^3\,e^5-3\,A\,a^2\,b\,d^2\,e^6\,m^6-99\,A\,a^2\,b\,d^2\,e^6\,m^5-1335\,A\,a^2\,b\,d^2\,e^6\,m^4-9405\,A\,a^2\,b\,d^2\,e^6\,m^3-36462\,A\,a^2\,b\,d^2\,e^6\,m^2-73656\,A\,a^2\,b\,d^2\,e^6\,m-60480\,A\,a^2\,b\,d^2\,e^6-18\,B\,a^2\,c\,d^4\,e^4\,m^4-468\,B\,a^2\,c\,d^4\,e^4\,m^3-4518\,B\,a^2\,c\,d^4\,e^4\,m^2-19188\,B\,a^2\,c\,d^4\,e^4\,m-30240\,B\,a^2\,c\,d^4\,e^4+6\,A\,a^2\,c\,d^3\,e^5\,m^5+180\,A\,a^2\,c\,d^3\,e^5\,m^4+2130\,A\,a^2\,c\,d^3\,e^5\,m^3+12420\,A\,a^2\,c\,d^3\,e^5\,m^2+35664\,A\,a^2\,c\,d^3\,e^5\,m+40320\,A\,a^2\,c\,d^3\,e^5-18\,B\,a\,b^2\,d^4\,e^4\,m^4-468\,B\,a\,b^2\,d^4\,e^4\,m^3-4518\,B\,a\,b^2\,d^4\,e^4\,m^2-19188\,B\,a\,b^2\,d^4\,e^4\,m-30240\,B\,a\,b^2\,d^4\,e^4+6\,A\,a\,b^2\,d^3\,e^5\,m^5+180\,A\,a\,b^2\,d^3\,e^5\,m^4+2130\,A\,a\,b^2\,d^3\,e^5\,m^3+12420\,A\,a\,b^2\,d^3\,e^5\,m^2+35664\,A\,a\,b^2\,d^3\,e^5\,m+40320\,A\,a\,b^2\,d^3\,e^5+144\,B\,a\,b\,c\,d^5\,e^3\,m^3+3024\,B\,a\,b\,c\,d^5\,e^3\,m^2+21024\,B\,a\,b\,c\,d^5\,e^3\,m+48384\,B\,a\,b\,c\,d^5\,e^3-36\,A\,a\,b\,c\,d^4\,e^4\,m^4-936\,A\,a\,b\,c\,d^4\,e^4\,m^3-9036\,A\,a\,b\,c\,d^4\,e^4\,m^2-38376\,A\,a\,b\,c\,d^4\,e^4\,m-60480\,A\,a\,b\,c\,d^4\,e^4-360\,B\,a\,c^2\,d^6\,e^2\,m^2-5400\,B\,a\,c^2\,d^6\,e^2\,m-20160\,B\,a\,c^2\,d^6\,e^2+72\,A\,a\,c^2\,d^5\,e^3\,m^3+1512\,A\,a\,c^2\,d^5\,e^3\,m^2+10512\,A\,a\,c^2\,d^5\,e^3\,m+24192\,A\,a\,c^2\,d^5\,e^3+24\,B\,b^3\,d^5\,e^3\,m^3+504\,B\,b^3\,d^5\,e^3\,m^2+3504\,B\,b^3\,d^5\,e^3\,m+8064\,B\,b^3\,d^5\,e^3-6\,A\,b^3\,d^4\,e^4\,m^4-156\,A\,b^3\,d^4\,e^4\,m^3-1506\,A\,b^3\,d^4\,e^4\,m^2-6396\,A\,b^3\,d^4\,e^4\,m-10080\,A\,b^3\,d^4\,e^4-360\,B\,b^2\,c\,d^6\,e^2\,m^2-5400\,B\,b^2\,c\,d^6\,e^2\,m-20160\,B\,b^2\,c\,d^6\,e^2+72\,A\,b^2\,c\,d^5\,e^3\,m^3+1512\,A\,b^2\,c\,d^5\,e^3\,m^2+10512\,A\,b^2\,c\,d^5\,e^3\,m+24192\,A\,b^2\,c\,d^5\,e^3+2160\,B\,b\,c^2\,d^7\,e\,m+17280\,B\,b\,c^2\,d^7\,e-360\,A\,b\,c^2\,d^6\,e^2\,m^2-5400\,A\,b\,c^2\,d^6\,e^2\,m-20160\,A\,b\,c^2\,d^6\,e^2-5040\,B\,c^3\,d^8+720\,A\,c^3\,d^7\,e\,m+5760\,A\,c^3\,d^7\,e\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,d\,e^7\,m^7+33\,B\,a^3\,d\,e^7\,m^6+445\,B\,a^3\,d\,e^7\,m^5+3135\,B\,a^3\,d\,e^7\,m^4+12154\,B\,a^3\,d\,e^7\,m^3+24552\,B\,a^3\,d\,e^7\,m^2+20160\,B\,a^3\,d\,e^7\,m+A\,a^3\,e^8\,m^7+35\,A\,a^3\,e^8\,m^6+511\,A\,a^3\,e^8\,m^5+4025\,A\,a^3\,e^8\,m^4+18424\,A\,a^3\,e^8\,m^3+48860\,A\,a^3\,e^8\,m^2+69264\,A\,a^3\,e^8\,m+40320\,A\,a^3\,e^8-6\,B\,a^2\,b\,d^2\,e^6\,m^6-180\,B\,a^2\,b\,d^2\,e^6\,m^5-2130\,B\,a^2\,b\,d^2\,e^6\,m^4-12420\,B\,a^2\,b\,d^2\,e^6\,m^3-35664\,B\,a^2\,b\,d^2\,e^6\,m^2-40320\,B\,a^2\,b\,d^2\,e^6\,m+3\,A\,a^2\,b\,d\,e^7\,m^7+99\,A\,a^2\,b\,d\,e^7\,m^6+1335\,A\,a^2\,b\,d\,e^7\,m^5+9405\,A\,a^2\,b\,d\,e^7\,m^4+36462\,A\,a^2\,b\,d\,e^7\,m^3+73656\,A\,a^2\,b\,d\,e^7\,m^2+60480\,A\,a^2\,b\,d\,e^7\,m+18\,B\,a^2\,c\,d^3\,e^5\,m^5+468\,B\,a^2\,c\,d^3\,e^5\,m^4+4518\,B\,a^2\,c\,d^3\,e^5\,m^3+19188\,B\,a^2\,c\,d^3\,e^5\,m^2+30240\,B\,a^2\,c\,d^3\,e^5\,m-6\,A\,a^2\,c\,d^2\,e^6\,m^6-180\,A\,a^2\,c\,d^2\,e^6\,m^5-2130\,A\,a^2\,c\,d^2\,e^6\,m^4-12420\,A\,a^2\,c\,d^2\,e^6\,m^3-35664\,A\,a^2\,c\,d^2\,e^6\,m^2-40320\,A\,a^2\,c\,d^2\,e^6\,m+18\,B\,a\,b^2\,d^3\,e^5\,m^5+468\,B\,a\,b^2\,d^3\,e^5\,m^4+4518\,B\,a\,b^2\,d^3\,e^5\,m^3+19188\,B\,a\,b^2\,d^3\,e^5\,m^2+30240\,B\,a\,b^2\,d^3\,e^5\,m-6\,A\,a\,b^2\,d^2\,e^6\,m^6-180\,A\,a\,b^2\,d^2\,e^6\,m^5-2130\,A\,a\,b^2\,d^2\,e^6\,m^4-12420\,A\,a\,b^2\,d^2\,e^6\,m^3-35664\,A\,a\,b^2\,d^2\,e^6\,m^2-40320\,A\,a\,b^2\,d^2\,e^6\,m-144\,B\,a\,b\,c\,d^4\,e^4\,m^4-3024\,B\,a\,b\,c\,d^4\,e^4\,m^3-21024\,B\,a\,b\,c\,d^4\,e^4\,m^2-48384\,B\,a\,b\,c\,d^4\,e^4\,m+36\,A\,a\,b\,c\,d^3\,e^5\,m^5+936\,A\,a\,b\,c\,d^3\,e^5\,m^4+9036\,A\,a\,b\,c\,d^3\,e^5\,m^3+38376\,A\,a\,b\,c\,d^3\,e^5\,m^2+60480\,A\,a\,b\,c\,d^3\,e^5\,m+360\,B\,a\,c^2\,d^5\,e^3\,m^3+5400\,B\,a\,c^2\,d^5\,e^3\,m^2+20160\,B\,a\,c^2\,d^5\,e^3\,m-72\,A\,a\,c^2\,d^4\,e^4\,m^4-1512\,A\,a\,c^2\,d^4\,e^4\,m^3-10512\,A\,a\,c^2\,d^4\,e^4\,m^2-24192\,A\,a\,c^2\,d^4\,e^4\,m-24\,B\,b^3\,d^4\,e^4\,m^4-504\,B\,b^3\,d^4\,e^4\,m^3-3504\,B\,b^3\,d^4\,e^4\,m^2-8064\,B\,b^3\,d^4\,e^4\,m+6\,A\,b^3\,d^3\,e^5\,m^5+156\,A\,b^3\,d^3\,e^5\,m^4+1506\,A\,b^3\,d^3\,e^5\,m^3+6396\,A\,b^3\,d^3\,e^5\,m^2+10080\,A\,b^3\,d^3\,e^5\,m+360\,B\,b^2\,c\,d^5\,e^3\,m^3+5400\,B\,b^2\,c\,d^5\,e^3\,m^2+20160\,B\,b^2\,c\,d^5\,e^3\,m-72\,A\,b^2\,c\,d^4\,e^4\,m^4-1512\,A\,b^2\,c\,d^4\,e^4\,m^3-10512\,A\,b^2\,c\,d^4\,e^4\,m^2-24192\,A\,b^2\,c\,d^4\,e^4\,m-2160\,B\,b\,c^2\,d^6\,e^2\,m^2-17280\,B\,b\,c^2\,d^6\,e^2\,m+360\,A\,b\,c^2\,d^5\,e^3\,m^3+5400\,A\,b\,c^2\,d^5\,e^3\,m^2+20160\,A\,b\,c^2\,d^5\,e^3\,m+5040\,B\,c^3\,d^7\,e\,m-720\,A\,c^3\,d^6\,e^2\,m^2-5760\,A\,c^3\,d^6\,e^2\,m\right)}{e^8\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(3\,B\,a^2\,c\,e^4\,m^4+78\,B\,a^2\,c\,e^4\,m^3+753\,B\,a^2\,c\,e^4\,m^2+3198\,B\,a^2\,c\,e^4\,m+5040\,B\,a^2\,c\,e^4+3\,B\,a\,b^2\,e^4\,m^4+78\,B\,a\,b^2\,e^4\,m^3+753\,B\,a\,b^2\,e^4\,m^2+3198\,B\,a\,b^2\,e^4\,m+5040\,B\,a\,b^2\,e^4+6\,B\,a\,b\,c\,d\,e^3\,m^4+126\,B\,a\,b\,c\,d\,e^3\,m^3+876\,B\,a\,b\,c\,d\,e^3\,m^2+2016\,B\,a\,b\,c\,d\,e^3\,m+6\,A\,a\,b\,c\,e^4\,m^4+156\,A\,a\,b\,c\,e^4\,m^3+1506\,A\,a\,b\,c\,e^4\,m^2+6396\,A\,a\,b\,c\,e^4\,m+10080\,A\,a\,b\,c\,e^4-15\,B\,a\,c^2\,d^2\,e^2\,m^3-225\,B\,a\,c^2\,d^2\,e^2\,m^2-840\,B\,a\,c^2\,d^2\,e^2\,m+3\,A\,a\,c^2\,d\,e^3\,m^4+63\,A\,a\,c^2\,d\,e^3\,m^3+438\,A\,a\,c^2\,d\,e^3\,m^2+1008\,A\,a\,c^2\,d\,e^3\,m+B\,b^3\,d\,e^3\,m^4+21\,B\,b^3\,d\,e^3\,m^3+146\,B\,b^3\,d\,e^3\,m^2+336\,B\,b^3\,d\,e^3\,m+A\,b^3\,e^4\,m^4+26\,A\,b^3\,e^4\,m^3+251\,A\,b^3\,e^4\,m^2+1066\,A\,b^3\,e^4\,m+1680\,A\,b^3\,e^4-15\,B\,b^2\,c\,d^2\,e^2\,m^3-225\,B\,b^2\,c\,d^2\,e^2\,m^2-840\,B\,b^2\,c\,d^2\,e^2\,m+3\,A\,b^2\,c\,d\,e^3\,m^4+63\,A\,b^2\,c\,d\,e^3\,m^3+438\,A\,b^2\,c\,d\,e^3\,m^2+1008\,A\,b^2\,c\,d\,e^3\,m+90\,B\,b\,c^2\,d^3\,e\,m^2+720\,B\,b\,c^2\,d^3\,e\,m-15\,A\,b\,c^2\,d^2\,e^2\,m^3-225\,A\,b\,c^2\,d^2\,e^2\,m^2-840\,A\,b\,c^2\,d^2\,e^2\,m-210\,B\,c^3\,d^4\,m+30\,A\,c^3\,d^3\,e\,m^2+240\,A\,c^3\,d^3\,e\,m\right)}{e^4\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{B\,c^3\,x^8\,{\left(d+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{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(3\,B\,a^2\,b\,e^5\,m^5+90\,B\,a^2\,b\,e^5\,m^4+1065\,B\,a^2\,b\,e^5\,m^3+6210\,B\,a^2\,b\,e^5\,m^2+17832\,B\,a^2\,b\,e^5\,m+20160\,B\,a^2\,b\,e^5+3\,B\,a^2\,c\,d\,e^4\,m^5+78\,B\,a^2\,c\,d\,e^4\,m^4+753\,B\,a^2\,c\,d\,e^4\,m^3+3198\,B\,a^2\,c\,d\,e^4\,m^2+5040\,B\,a^2\,c\,d\,e^4\,m+3\,A\,a^2\,c\,e^5\,m^5+90\,A\,a^2\,c\,e^5\,m^4+1065\,A\,a^2\,c\,e^5\,m^3+6210\,A\,a^2\,c\,e^5\,m^2+17832\,A\,a^2\,c\,e^5\,m+20160\,A\,a^2\,c\,e^5+3\,B\,a\,b^2\,d\,e^4\,m^5+78\,B\,a\,b^2\,d\,e^4\,m^4+753\,B\,a\,b^2\,d\,e^4\,m^3+3198\,B\,a\,b^2\,d\,e^4\,m^2+5040\,B\,a\,b^2\,d\,e^4\,m+3\,A\,a\,b^2\,e^5\,m^5+90\,A\,a\,b^2\,e^5\,m^4+1065\,A\,a\,b^2\,e^5\,m^3+6210\,A\,a\,b^2\,e^5\,m^2+17832\,A\,a\,b^2\,e^5\,m+20160\,A\,a\,b^2\,e^5-24\,B\,a\,b\,c\,d^2\,e^3\,m^4-504\,B\,a\,b\,c\,d^2\,e^3\,m^3-3504\,B\,a\,b\,c\,d^2\,e^3\,m^2-8064\,B\,a\,b\,c\,d^2\,e^3\,m+6\,A\,a\,b\,c\,d\,e^4\,m^5+156\,A\,a\,b\,c\,d\,e^4\,m^4+1506\,A\,a\,b\,c\,d\,e^4\,m^3+6396\,A\,a\,b\,c\,d\,e^4\,m^2+10080\,A\,a\,b\,c\,d\,e^4\,m+60\,B\,a\,c^2\,d^3\,e^2\,m^3+900\,B\,a\,c^2\,d^3\,e^2\,m^2+3360\,B\,a\,c^2\,d^3\,e^2\,m-12\,A\,a\,c^2\,d^2\,e^3\,m^4-252\,A\,a\,c^2\,d^2\,e^3\,m^3-1752\,A\,a\,c^2\,d^2\,e^3\,m^2-4032\,A\,a\,c^2\,d^2\,e^3\,m-4\,B\,b^3\,d^2\,e^3\,m^4-84\,B\,b^3\,d^2\,e^3\,m^3-584\,B\,b^3\,d^2\,e^3\,m^2-1344\,B\,b^3\,d^2\,e^3\,m+A\,b^3\,d\,e^4\,m^5+26\,A\,b^3\,d\,e^4\,m^4+251\,A\,b^3\,d\,e^4\,m^3+1066\,A\,b^3\,d\,e^4\,m^2+1680\,A\,b^3\,d\,e^4\,m+60\,B\,b^2\,c\,d^3\,e^2\,m^3+900\,B\,b^2\,c\,d^3\,e^2\,m^2+3360\,B\,b^2\,c\,d^3\,e^2\,m-12\,A\,b^2\,c\,d^2\,e^3\,m^4-252\,A\,b^2\,c\,d^2\,e^3\,m^3-1752\,A\,b^2\,c\,d^2\,e^3\,m^2-4032\,A\,b^2\,c\,d^2\,e^3\,m-360\,B\,b\,c^2\,d^4\,e\,m^2-2880\,B\,b\,c^2\,d^4\,e\,m+60\,A\,b\,c^2\,d^3\,e^2\,m^3+900\,A\,b\,c^2\,d^3\,e^2\,m^2+3360\,A\,b\,c^2\,d^3\,e^2\,m+840\,B\,c^3\,d^5\,m-120\,A\,c^3\,d^4\,e\,m^2-960\,A\,c^3\,d^4\,e\,m\right)}{e^5\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(B\,b^3\,e^3\,m^3+21\,B\,b^3\,e^3\,m^2+146\,B\,b^3\,e^3\,m+336\,B\,b^3\,e^3+3\,B\,b^2\,c\,d\,e^2\,m^3+45\,B\,b^2\,c\,d\,e^2\,m^2+168\,B\,b^2\,c\,d\,e^2\,m+3\,A\,b^2\,c\,e^3\,m^3+63\,A\,b^2\,c\,e^3\,m^2+438\,A\,b^2\,c\,e^3\,m+1008\,A\,b^2\,c\,e^3-18\,B\,b\,c^2\,d^2\,e\,m^2-144\,B\,b\,c^2\,d^2\,e\,m+3\,A\,b\,c^2\,d\,e^2\,m^3+45\,A\,b\,c^2\,d\,e^2\,m^2+168\,A\,b\,c^2\,d\,e^2\,m+6\,B\,a\,b\,c\,e^3\,m^3+126\,B\,a\,b\,c\,e^3\,m^2+876\,B\,a\,b\,c\,e^3\,m+2016\,B\,a\,b\,c\,e^3+42\,B\,c^3\,d^3\,m-6\,A\,c^3\,d^2\,e\,m^2-48\,A\,c^3\,d^2\,e\,m+3\,B\,a\,c^2\,d\,e^2\,m^3+45\,B\,a\,c^2\,d\,e^2\,m^2+168\,B\,a\,c^2\,d\,e^2\,m+3\,A\,a\,c^2\,e^3\,m^3+63\,A\,a\,c^2\,e^3\,m^2+438\,A\,a\,c^2\,e^3\,m+1008\,A\,a\,c^2\,e^3\right)}{e^3\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^3\,e^6\,m^6+33\,B\,a^3\,e^6\,m^5+445\,B\,a^3\,e^6\,m^4+3135\,B\,a^3\,e^6\,m^3+12154\,B\,a^3\,e^6\,m^2+24552\,B\,a^3\,e^6\,m+20160\,B\,a^3\,e^6+3\,B\,a^2\,b\,d\,e^5\,m^6+90\,B\,a^2\,b\,d\,e^5\,m^5+1065\,B\,a^2\,b\,d\,e^5\,m^4+6210\,B\,a^2\,b\,d\,e^5\,m^3+17832\,B\,a^2\,b\,d\,e^5\,m^2+20160\,B\,a^2\,b\,d\,e^5\,m+3\,A\,a^2\,b\,e^6\,m^6+99\,A\,a^2\,b\,e^6\,m^5+1335\,A\,a^2\,b\,e^6\,m^4+9405\,A\,a^2\,b\,e^6\,m^3+36462\,A\,a^2\,b\,e^6\,m^2+73656\,A\,a^2\,b\,e^6\,m+60480\,A\,a^2\,b\,e^6-9\,B\,a^2\,c\,d^2\,e^4\,m^5-234\,B\,a^2\,c\,d^2\,e^4\,m^4-2259\,B\,a^2\,c\,d^2\,e^4\,m^3-9594\,B\,a^2\,c\,d^2\,e^4\,m^2-15120\,B\,a^2\,c\,d^2\,e^4\,m+3\,A\,a^2\,c\,d\,e^5\,m^6+90\,A\,a^2\,c\,d\,e^5\,m^5+1065\,A\,a^2\,c\,d\,e^5\,m^4+6210\,A\,a^2\,c\,d\,e^5\,m^3+17832\,A\,a^2\,c\,d\,e^5\,m^2+20160\,A\,a^2\,c\,d\,e^5\,m-9\,B\,a\,b^2\,d^2\,e^4\,m^5-234\,B\,a\,b^2\,d^2\,e^4\,m^4-2259\,B\,a\,b^2\,d^2\,e^4\,m^3-9594\,B\,a\,b^2\,d^2\,e^4\,m^2-15120\,B\,a\,b^2\,d^2\,e^4\,m+3\,A\,a\,b^2\,d\,e^5\,m^6+90\,A\,a\,b^2\,d\,e^5\,m^5+1065\,A\,a\,b^2\,d\,e^5\,m^4+6210\,A\,a\,b^2\,d\,e^5\,m^3+17832\,A\,a\,b^2\,d\,e^5\,m^2+20160\,A\,a\,b^2\,d\,e^5\,m+72\,B\,a\,b\,c\,d^3\,e^3\,m^4+1512\,B\,a\,b\,c\,d^3\,e^3\,m^3+10512\,B\,a\,b\,c\,d^3\,e^3\,m^2+24192\,B\,a\,b\,c\,d^3\,e^3\,m-18\,A\,a\,b\,c\,d^2\,e^4\,m^5-468\,A\,a\,b\,c\,d^2\,e^4\,m^4-4518\,A\,a\,b\,c\,d^2\,e^4\,m^3-19188\,A\,a\,b\,c\,d^2\,e^4\,m^2-30240\,A\,a\,b\,c\,d^2\,e^4\,m-180\,B\,a\,c^2\,d^4\,e^2\,m^3-2700\,B\,a\,c^2\,d^4\,e^2\,m^2-10080\,B\,a\,c^2\,d^4\,e^2\,m+36\,A\,a\,c^2\,d^3\,e^3\,m^4+756\,A\,a\,c^2\,d^3\,e^3\,m^3+5256\,A\,a\,c^2\,d^3\,e^3\,m^2+12096\,A\,a\,c^2\,d^3\,e^3\,m+12\,B\,b^3\,d^3\,e^3\,m^4+252\,B\,b^3\,d^3\,e^3\,m^3+1752\,B\,b^3\,d^3\,e^3\,m^2+4032\,B\,b^3\,d^3\,e^3\,m-3\,A\,b^3\,d^2\,e^4\,m^5-78\,A\,b^3\,d^2\,e^4\,m^4-753\,A\,b^3\,d^2\,e^4\,m^3-3198\,A\,b^3\,d^2\,e^4\,m^2-5040\,A\,b^3\,d^2\,e^4\,m-180\,B\,b^2\,c\,d^4\,e^2\,m^3-2700\,B\,b^2\,c\,d^4\,e^2\,m^2-10080\,B\,b^2\,c\,d^4\,e^2\,m+36\,A\,b^2\,c\,d^3\,e^3\,m^4+756\,A\,b^2\,c\,d^3\,e^3\,m^3+5256\,A\,b^2\,c\,d^3\,e^3\,m^2+12096\,A\,b^2\,c\,d^3\,e^3\,m+1080\,B\,b\,c^2\,d^5\,e\,m^2+8640\,B\,b\,c^2\,d^5\,e\,m-180\,A\,b\,c^2\,d^4\,e^2\,m^3-2700\,A\,b\,c^2\,d^4\,e^2\,m^2-10080\,A\,b\,c^2\,d^4\,e^2\,m-2520\,B\,c^3\,d^6\,m+360\,A\,c^3\,d^5\,e\,m^2+2880\,A\,c^3\,d^5\,e\,m\right)}{e^6\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c\,x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(3\,B\,b^2\,e^2\,m^2+45\,B\,b^2\,e^2\,m+168\,B\,b^2\,e^2+3\,B\,b\,c\,d\,e\,m^2+24\,B\,b\,c\,d\,e\,m+3\,A\,b\,c\,e^2\,m^2+45\,A\,b\,c\,e^2\,m+168\,A\,b\,c\,e^2-7\,B\,c^2\,d^2\,m+A\,c^2\,d\,e\,m^2+8\,A\,c^2\,d\,e\,m+3\,B\,a\,c\,e^2\,m^2+45\,B\,a\,c\,e^2\,m+168\,B\,a\,c\,e^2\right)}{e^2\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}+\frac{c^2\,x^7\,{\left(d+e\,x\right)}^m\,\left(8\,A\,c\,e+24\,B\,b\,e+A\,c\,e\,m+3\,B\,b\,e\,m+B\,c\,d\,m\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}","Not used",1,"((d + e*x)^m*(40320*A*a^3*d*e^7 - 5040*B*c^3*d^8 + 5760*A*c^3*d^7*e - 10080*A*b^3*d^4*e^4 - 20160*B*a^3*d^2*e^6 + 8064*B*b^3*d^5*e^3 + 40320*A*a*b^2*d^3*e^5 - 60480*A*a^2*b*d^2*e^6 + 24192*A*a*c^2*d^5*e^3 + 40320*A*a^2*c*d^3*e^5 - 30240*B*a*b^2*d^4*e^4 + 40320*B*a^2*b*d^3*e^5 - 20160*A*b*c^2*d^6*e^2 + 24192*A*b^2*c*d^5*e^3 - 20160*B*a*c^2*d^6*e^2 - 30240*B*a^2*c*d^4*e^4 - 20160*B*b^2*c*d^6*e^2 + 48860*A*a^3*d*e^7*m^2 + 18424*A*a^3*d*e^7*m^3 + 4025*A*a^3*d*e^7*m^4 + 511*A*a^3*d*e^7*m^5 + 35*A*a^3*d*e^7*m^6 + A*a^3*d*e^7*m^7 - 6396*A*b^3*d^4*e^4*m - 24552*B*a^3*d^2*e^6*m + 3504*B*b^3*d^5*e^3*m - 1506*A*b^3*d^4*e^4*m^2 - 12154*B*a^3*d^2*e^6*m^2 - 156*A*b^3*d^4*e^4*m^3 - 3135*B*a^3*d^2*e^6*m^3 - 6*A*b^3*d^4*e^4*m^4 - 445*B*a^3*d^2*e^6*m^4 - 33*B*a^3*d^2*e^6*m^5 - B*a^3*d^2*e^6*m^6 + 504*B*b^3*d^5*e^3*m^2 + 24*B*b^3*d^5*e^3*m^3 + 17280*B*b*c^2*d^7*e + 69264*A*a^3*d*e^7*m + 720*A*c^3*d^7*e*m + 12420*A*a*b^2*d^3*e^5*m^2 - 36462*A*a^2*b*d^2*e^6*m^2 + 2130*A*a*b^2*d^3*e^5*m^3 - 9405*A*a^2*b*d^2*e^6*m^3 + 180*A*a*b^2*d^3*e^5*m^4 - 1335*A*a^2*b*d^2*e^6*m^4 + 6*A*a*b^2*d^3*e^5*m^5 - 99*A*a^2*b*d^2*e^6*m^5 - 3*A*a^2*b*d^2*e^6*m^6 + 1512*A*a*c^2*d^5*e^3*m^2 + 12420*A*a^2*c*d^3*e^5*m^2 - 4518*B*a*b^2*d^4*e^4*m^2 + 12420*B*a^2*b*d^3*e^5*m^2 + 72*A*a*c^2*d^5*e^3*m^3 + 2130*A*a^2*c*d^3*e^5*m^3 - 468*B*a*b^2*d^4*e^4*m^3 + 2130*B*a^2*b*d^3*e^5*m^3 + 180*A*a^2*c*d^3*e^5*m^4 - 18*B*a*b^2*d^4*e^4*m^4 + 180*B*a^2*b*d^3*e^5*m^4 + 6*A*a^2*c*d^3*e^5*m^5 + 6*B*a^2*b*d^3*e^5*m^5 - 360*A*b*c^2*d^6*e^2*m^2 + 1512*A*b^2*c*d^5*e^3*m^2 - 360*B*a*c^2*d^6*e^2*m^2 - 4518*B*a^2*c*d^4*e^4*m^2 + 72*A*b^2*c*d^5*e^3*m^3 - 468*B*a^2*c*d^4*e^4*m^3 - 18*B*a^2*c*d^4*e^4*m^4 - 360*B*b^2*c*d^6*e^2*m^2 - 60480*A*a*b*c*d^4*e^4 + 48384*B*a*b*c*d^5*e^3 + 2160*B*b*c^2*d^7*e*m + 35664*A*a*b^2*d^3*e^5*m - 73656*A*a^2*b*d^2*e^6*m + 10512*A*a*c^2*d^5*e^3*m + 35664*A*a^2*c*d^3*e^5*m - 19188*B*a*b^2*d^4*e^4*m + 35664*B*a^2*b*d^3*e^5*m - 5400*A*b*c^2*d^6*e^2*m + 10512*A*b^2*c*d^5*e^3*m - 5400*B*a*c^2*d^6*e^2*m - 19188*B*a^2*c*d^4*e^4*m - 5400*B*b^2*c*d^6*e^2*m - 9036*A*a*b*c*d^4*e^4*m^2 - 936*A*a*b*c*d^4*e^4*m^3 - 36*A*a*b*c*d^4*e^4*m^4 + 3024*B*a*b*c*d^5*e^3*m^2 + 144*B*a*b*c*d^5*e^3*m^3 - 38376*A*a*b*c*d^4*e^4*m + 21024*B*a*b*c*d^5*e^3*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x*(d + e*x)^m*(40320*A*a^3*e^8 + 69264*A*a^3*e^8*m + 48860*A*a^3*e^8*m^2 + 18424*A*a^3*e^8*m^3 + 4025*A*a^3*e^8*m^4 + 511*A*a^3*e^8*m^5 + 35*A*a^3*e^8*m^6 + A*a^3*e^8*m^7 + 10080*A*b^3*d^3*e^5*m + 24552*B*a^3*d*e^7*m^2 + 12154*B*a^3*d*e^7*m^3 + 3135*B*a^3*d*e^7*m^4 + 445*B*a^3*d*e^7*m^5 + 33*B*a^3*d*e^7*m^6 + B*a^3*d*e^7*m^7 - 5760*A*c^3*d^6*e^2*m - 8064*B*b^3*d^4*e^4*m + 6396*A*b^3*d^3*e^5*m^2 + 1506*A*b^3*d^3*e^5*m^3 + 156*A*b^3*d^3*e^5*m^4 + 6*A*b^3*d^3*e^5*m^5 - 720*A*c^3*d^6*e^2*m^2 - 3504*B*b^3*d^4*e^4*m^2 - 504*B*b^3*d^4*e^4*m^3 - 24*B*b^3*d^4*e^4*m^4 + 20160*B*a^3*d*e^7*m + 5040*B*c^3*d^7*e*m - 35664*A*a*b^2*d^2*e^6*m^2 - 12420*A*a*b^2*d^2*e^6*m^3 - 2130*A*a*b^2*d^2*e^6*m^4 - 180*A*a*b^2*d^2*e^6*m^5 - 6*A*a*b^2*d^2*e^6*m^6 - 10512*A*a*c^2*d^4*e^4*m^2 - 35664*A*a^2*c*d^2*e^6*m^2 + 19188*B*a*b^2*d^3*e^5*m^2 - 35664*B*a^2*b*d^2*e^6*m^2 - 1512*A*a*c^2*d^4*e^4*m^3 - 12420*A*a^2*c*d^2*e^6*m^3 + 4518*B*a*b^2*d^3*e^5*m^3 - 12420*B*a^2*b*d^2*e^6*m^3 - 72*A*a*c^2*d^4*e^4*m^4 - 2130*A*a^2*c*d^2*e^6*m^4 + 468*B*a*b^2*d^3*e^5*m^4 - 2130*B*a^2*b*d^2*e^6*m^4 - 180*A*a^2*c*d^2*e^6*m^5 + 18*B*a*b^2*d^3*e^5*m^5 - 180*B*a^2*b*d^2*e^6*m^5 - 6*A*a^2*c*d^2*e^6*m^6 - 6*B*a^2*b*d^2*e^6*m^6 + 5400*A*b*c^2*d^5*e^3*m^2 - 10512*A*b^2*c*d^4*e^4*m^2 + 5400*B*a*c^2*d^5*e^3*m^2 + 19188*B*a^2*c*d^3*e^5*m^2 + 360*A*b*c^2*d^5*e^3*m^3 - 1512*A*b^2*c*d^4*e^4*m^3 + 360*B*a*c^2*d^5*e^3*m^3 + 4518*B*a^2*c*d^3*e^5*m^3 - 72*A*b^2*c*d^4*e^4*m^4 + 468*B*a^2*c*d^3*e^5*m^4 + 18*B*a^2*c*d^3*e^5*m^5 - 2160*B*b*c^2*d^6*e^2*m^2 + 5400*B*b^2*c*d^5*e^3*m^2 + 360*B*b^2*c*d^5*e^3*m^3 + 60480*A*a^2*b*d*e^7*m - 40320*A*a*b^2*d^2*e^6*m + 73656*A*a^2*b*d*e^7*m^2 + 36462*A*a^2*b*d*e^7*m^3 + 9405*A*a^2*b*d*e^7*m^4 + 1335*A*a^2*b*d*e^7*m^5 + 99*A*a^2*b*d*e^7*m^6 + 3*A*a^2*b*d*e^7*m^7 - 24192*A*a*c^2*d^4*e^4*m - 40320*A*a^2*c*d^2*e^6*m + 30240*B*a*b^2*d^3*e^5*m - 40320*B*a^2*b*d^2*e^6*m + 20160*A*b*c^2*d^5*e^3*m - 24192*A*b^2*c*d^4*e^4*m + 20160*B*a*c^2*d^5*e^3*m + 30240*B*a^2*c*d^3*e^5*m - 17280*B*b*c^2*d^6*e^2*m + 20160*B*b^2*c*d^5*e^3*m + 38376*A*a*b*c*d^3*e^5*m^2 + 9036*A*a*b*c*d^3*e^5*m^3 + 936*A*a*b*c*d^3*e^5*m^4 + 36*A*a*b*c*d^3*e^5*m^5 - 21024*B*a*b*c*d^4*e^4*m^2 - 3024*B*a*b*c*d^4*e^4*m^3 - 144*B*a*b*c*d^4*e^4*m^4 + 60480*A*a*b*c*d^3*e^5*m - 48384*B*a*b*c*d^4*e^4*m))/(e^8*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(1680*A*b^3*e^4 + 5040*B*a*b^2*e^4 + 5040*B*a^2*c*e^4 + 1066*A*b^3*e^4*m - 210*B*c^3*d^4*m + 251*A*b^3*e^4*m^2 + 26*A*b^3*e^4*m^3 + A*b^3*e^4*m^4 + 753*B*a*b^2*e^4*m^2 + 78*B*a*b^2*e^4*m^3 + 3*B*a*b^2*e^4*m^4 + 753*B*a^2*c*e^4*m^2 + 78*B*a^2*c*e^4*m^3 + 3*B*a^2*c*e^4*m^4 + 30*A*c^3*d^3*e*m^2 + 146*B*b^3*d*e^3*m^2 + 21*B*b^3*d*e^3*m^3 + B*b^3*d*e^3*m^4 + 10080*A*a*b*c*e^4 + 3198*B*a*b^2*e^4*m + 3198*B*a^2*c*e^4*m + 240*A*c^3*d^3*e*m + 336*B*b^3*d*e^3*m - 225*A*b*c^2*d^2*e^2*m^2 - 225*B*a*c^2*d^2*e^2*m^2 - 15*A*b*c^2*d^2*e^2*m^3 - 15*B*a*c^2*d^2*e^2*m^3 - 225*B*b^2*c*d^2*e^2*m^2 - 15*B*b^2*c*d^2*e^2*m^3 + 1506*A*a*b*c*e^4*m^2 + 156*A*a*b*c*e^4*m^3 + 6*A*a*b*c*e^4*m^4 + 1008*A*a*c^2*d*e^3*m + 1008*A*b^2*c*d*e^3*m + 720*B*b*c^2*d^3*e*m + 438*A*a*c^2*d*e^3*m^2 + 63*A*a*c^2*d*e^3*m^3 + 3*A*a*c^2*d*e^3*m^4 - 840*A*b*c^2*d^2*e^2*m - 840*B*a*c^2*d^2*e^2*m + 438*A*b^2*c*d*e^3*m^2 + 63*A*b^2*c*d*e^3*m^3 + 3*A*b^2*c*d*e^3*m^4 - 840*B*b^2*c*d^2*e^2*m + 90*B*b*c^2*d^3*e*m^2 + 6396*A*a*b*c*e^4*m + 2016*B*a*b*c*d*e^3*m + 876*B*a*b*c*d*e^3*m^2 + 126*B*a*b*c*d*e^3*m^3 + 6*B*a*b*c*d*e^3*m^4))/(e^4*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (B*c^3*x^8*(d + 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) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(20160*A*a*b^2*e^5 + 20160*A*a^2*c*e^5 + 20160*B*a^2*b*e^5 + 840*B*c^3*d^5*m + 6210*A*a*b^2*e^5*m^2 + 1065*A*a*b^2*e^5*m^3 + 90*A*a*b^2*e^5*m^4 + 3*A*a*b^2*e^5*m^5 + 6210*A*a^2*c*e^5*m^2 + 6210*B*a^2*b*e^5*m^2 + 1065*A*a^2*c*e^5*m^3 + 1065*B*a^2*b*e^5*m^3 + 90*A*a^2*c*e^5*m^4 + 90*B*a^2*b*e^5*m^4 + 3*A*a^2*c*e^5*m^5 + 3*B*a^2*b*e^5*m^5 + 1066*A*b^3*d*e^4*m^2 + 251*A*b^3*d*e^4*m^3 + 26*A*b^3*d*e^4*m^4 + A*b^3*d*e^4*m^5 - 1344*B*b^3*d^2*e^3*m - 120*A*c^3*d^4*e*m^2 - 584*B*b^3*d^2*e^3*m^2 - 84*B*b^3*d^2*e^3*m^3 - 4*B*b^3*d^2*e^3*m^4 + 17832*A*a*b^2*e^5*m + 17832*A*a^2*c*e^5*m + 17832*B*a^2*b*e^5*m + 1680*A*b^3*d*e^4*m - 960*A*c^3*d^4*e*m - 1752*A*a*c^2*d^2*e^3*m^2 - 252*A*a*c^2*d^2*e^3*m^3 - 12*A*a*c^2*d^2*e^3*m^4 + 900*A*b*c^2*d^3*e^2*m^2 - 1752*A*b^2*c*d^2*e^3*m^2 + 900*B*a*c^2*d^3*e^2*m^2 + 60*A*b*c^2*d^3*e^2*m^3 - 252*A*b^2*c*d^2*e^3*m^3 + 60*B*a*c^2*d^3*e^2*m^3 - 12*A*b^2*c*d^2*e^3*m^4 + 900*B*b^2*c*d^3*e^2*m^2 + 60*B*b^2*c*d^3*e^2*m^3 + 5040*B*a*b^2*d*e^4*m + 5040*B*a^2*c*d*e^4*m - 2880*B*b*c^2*d^4*e*m - 4032*A*a*c^2*d^2*e^3*m + 3198*B*a*b^2*d*e^4*m^2 + 753*B*a*b^2*d*e^4*m^3 + 78*B*a*b^2*d*e^4*m^4 + 3*B*a*b^2*d*e^4*m^5 + 3360*A*b*c^2*d^3*e^2*m - 4032*A*b^2*c*d^2*e^3*m + 3360*B*a*c^2*d^3*e^2*m + 3198*B*a^2*c*d*e^4*m^2 + 753*B*a^2*c*d*e^4*m^3 + 78*B*a^2*c*d*e^4*m^4 + 3*B*a^2*c*d*e^4*m^5 + 3360*B*b^2*c*d^3*e^2*m - 360*B*b*c^2*d^4*e*m^2 - 3504*B*a*b*c*d^2*e^3*m^2 - 504*B*a*b*c*d^2*e^3*m^3 - 24*B*a*b*c*d^2*e^3*m^4 + 10080*A*a*b*c*d*e^4*m + 6396*A*a*b*c*d*e^4*m^2 + 1506*A*a*b*c*d*e^4*m^3 + 156*A*a*b*c*d*e^4*m^4 + 6*A*a*b*c*d*e^4*m^5 - 8064*B*a*b*c*d^2*e^3*m))/(e^5*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(336*B*b^3*e^3 + 1008*A*a*c^2*e^3 + 1008*A*b^2*c*e^3 + 146*B*b^3*e^3*m + 42*B*c^3*d^3*m + 21*B*b^3*e^3*m^2 + B*b^3*e^3*m^3 + 63*A*a*c^2*e^3*m^2 + 3*A*a*c^2*e^3*m^3 + 63*A*b^2*c*e^3*m^2 + 3*A*b^2*c*e^3*m^3 - 6*A*c^3*d^2*e*m^2 + 2016*B*a*b*c*e^3 + 438*A*a*c^2*e^3*m + 438*A*b^2*c*e^3*m - 48*A*c^3*d^2*e*m + 126*B*a*b*c*e^3*m^2 + 6*B*a*b*c*e^3*m^3 + 168*A*b*c^2*d*e^2*m + 168*B*a*c^2*d*e^2*m - 144*B*b*c^2*d^2*e*m + 168*B*b^2*c*d*e^2*m + 45*A*b*c^2*d*e^2*m^2 + 45*B*a*c^2*d*e^2*m^2 + 3*A*b*c^2*d*e^2*m^3 + 3*B*a*c^2*d*e^2*m^3 - 18*B*b*c^2*d^2*e*m^2 + 45*B*b^2*c*d*e^2*m^2 + 3*B*b^2*c*d*e^2*m^3 + 876*B*a*b*c*e^3*m))/(e^3*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (x^2*(m + 1)*(d + e*x)^m*(20160*B*a^3*e^6 + 60480*A*a^2*b*e^6 + 24552*B*a^3*e^6*m - 2520*B*c^3*d^6*m + 12154*B*a^3*e^6*m^2 + 3135*B*a^3*e^6*m^3 + 445*B*a^3*e^6*m^4 + 33*B*a^3*e^6*m^5 + B*a^3*e^6*m^6 + 36462*A*a^2*b*e^6*m^2 + 9405*A*a^2*b*e^6*m^3 + 1335*A*a^2*b*e^6*m^4 + 99*A*a^2*b*e^6*m^5 + 3*A*a^2*b*e^6*m^6 - 5040*A*b^3*d^2*e^4*m + 4032*B*b^3*d^3*e^3*m + 360*A*c^3*d^5*e*m^2 - 3198*A*b^3*d^2*e^4*m^2 - 753*A*b^3*d^2*e^4*m^3 - 78*A*b^3*d^2*e^4*m^4 - 3*A*b^3*d^2*e^4*m^5 + 1752*B*b^3*d^3*e^3*m^2 + 252*B*b^3*d^3*e^3*m^3 + 12*B*b^3*d^3*e^3*m^4 + 73656*A*a^2*b*e^6*m + 2880*A*c^3*d^5*e*m + 5256*A*a*c^2*d^3*e^3*m^2 - 9594*B*a*b^2*d^2*e^4*m^2 + 756*A*a*c^2*d^3*e^3*m^3 - 2259*B*a*b^2*d^2*e^4*m^3 + 36*A*a*c^2*d^3*e^3*m^4 - 234*B*a*b^2*d^2*e^4*m^4 - 9*B*a*b^2*d^2*e^4*m^5 - 2700*A*b*c^2*d^4*e^2*m^2 + 5256*A*b^2*c*d^3*e^3*m^2 - 2700*B*a*c^2*d^4*e^2*m^2 - 9594*B*a^2*c*d^2*e^4*m^2 - 180*A*b*c^2*d^4*e^2*m^3 + 756*A*b^2*c*d^3*e^3*m^3 - 180*B*a*c^2*d^4*e^2*m^3 - 2259*B*a^2*c*d^2*e^4*m^3 + 36*A*b^2*c*d^3*e^3*m^4 - 234*B*a^2*c*d^2*e^4*m^4 - 9*B*a^2*c*d^2*e^4*m^5 - 2700*B*b^2*c*d^4*e^2*m^2 - 180*B*b^2*c*d^4*e^2*m^3 + 20160*A*a*b^2*d*e^5*m + 20160*A*a^2*c*d*e^5*m + 20160*B*a^2*b*d*e^5*m + 8640*B*b*c^2*d^5*e*m + 17832*A*a*b^2*d*e^5*m^2 + 6210*A*a*b^2*d*e^5*m^3 + 1065*A*a*b^2*d*e^5*m^4 + 90*A*a*b^2*d*e^5*m^5 + 3*A*a*b^2*d*e^5*m^6 + 12096*A*a*c^2*d^3*e^3*m - 15120*B*a*b^2*d^2*e^4*m + 17832*A*a^2*c*d*e^5*m^2 + 17832*B*a^2*b*d*e^5*m^2 + 6210*A*a^2*c*d*e^5*m^3 + 6210*B*a^2*b*d*e^5*m^3 + 1065*A*a^2*c*d*e^5*m^4 + 1065*B*a^2*b*d*e^5*m^4 + 90*A*a^2*c*d*e^5*m^5 + 90*B*a^2*b*d*e^5*m^5 + 3*A*a^2*c*d*e^5*m^6 + 3*B*a^2*b*d*e^5*m^6 - 10080*A*b*c^2*d^4*e^2*m + 12096*A*b^2*c*d^3*e^3*m - 10080*B*a*c^2*d^4*e^2*m - 15120*B*a^2*c*d^2*e^4*m - 10080*B*b^2*c*d^4*e^2*m + 1080*B*b*c^2*d^5*e*m^2 - 19188*A*a*b*c*d^2*e^4*m^2 - 4518*A*a*b*c*d^2*e^4*m^3 - 468*A*a*b*c*d^2*e^4*m^4 - 18*A*a*b*c*d^2*e^4*m^5 + 10512*B*a*b*c*d^3*e^3*m^2 + 1512*B*a*b*c*d^3*e^3*m^3 + 72*B*a*b*c*d^3*e^3*m^4 - 30240*A*a*b*c*d^2*e^4*m + 24192*B*a*b*c*d^3*e^3*m))/(e^6*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c*x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(168*B*b^2*e^2 + 168*A*b*c*e^2 + 168*B*a*c*e^2 + 45*B*b^2*e^2*m - 7*B*c^2*d^2*m + 3*B*b^2*e^2*m^2 + 45*A*b*c*e^2*m + 45*B*a*c*e^2*m + 8*A*c^2*d*e*m + 3*A*b*c*e^2*m^2 + 3*B*a*c*e^2*m^2 + A*c^2*d*e*m^2 + 24*B*b*c*d*e*m + 3*B*b*c*d*e*m^2))/(e^2*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320)) + (c^2*x^7*(d + e*x)^m*(8*A*c*e + 24*B*b*e + A*c*e*m + 3*B*b*e*m + B*c*d*m)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))","B"
2641,1,2307,333,3.801847,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a + b*x + c*x^2)^2,x)","\frac{{\left(d+e\,x\right)}^m\,\left(-B\,a^2\,d^2\,e^4\,m^4-18\,B\,a^2\,d^2\,e^4\,m^3-119\,B\,a^2\,d^2\,e^4\,m^2-342\,B\,a^2\,d^2\,e^4\,m-360\,B\,a^2\,d^2\,e^4+A\,a^2\,d\,e^5\,m^5+20\,A\,a^2\,d\,e^5\,m^4+155\,A\,a^2\,d\,e^5\,m^3+580\,A\,a^2\,d\,e^5\,m^2+1044\,A\,a^2\,d\,e^5\,m+720\,A\,a^2\,d\,e^5+4\,B\,a\,b\,d^3\,e^3\,m^3+60\,B\,a\,b\,d^3\,e^3\,m^2+296\,B\,a\,b\,d^3\,e^3\,m+480\,B\,a\,b\,d^3\,e^3-2\,A\,a\,b\,d^2\,e^4\,m^4-36\,A\,a\,b\,d^2\,e^4\,m^3-238\,A\,a\,b\,d^2\,e^4\,m^2-684\,A\,a\,b\,d^2\,e^4\,m-720\,A\,a\,b\,d^2\,e^4-12\,B\,a\,c\,d^4\,e^2\,m^2-132\,B\,a\,c\,d^4\,e^2\,m-360\,B\,a\,c\,d^4\,e^2+4\,A\,a\,c\,d^3\,e^3\,m^3+60\,A\,a\,c\,d^3\,e^3\,m^2+296\,A\,a\,c\,d^3\,e^3\,m+480\,A\,a\,c\,d^3\,e^3-6\,B\,b^2\,d^4\,e^2\,m^2-66\,B\,b^2\,d^4\,e^2\,m-180\,B\,b^2\,d^4\,e^2+2\,A\,b^2\,d^3\,e^3\,m^3+30\,A\,b^2\,d^3\,e^3\,m^2+148\,A\,b^2\,d^3\,e^3\,m+240\,A\,b^2\,d^3\,e^3+48\,B\,b\,c\,d^5\,e\,m+288\,B\,b\,c\,d^5\,e-12\,A\,b\,c\,d^4\,e^2\,m^2-132\,A\,b\,c\,d^4\,e^2\,m-360\,A\,b\,c\,d^4\,e^2-120\,B\,c^2\,d^6+24\,A\,c^2\,d^5\,e\,m+144\,A\,c^2\,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^2\,d\,e^5\,m^5+18\,B\,a^2\,d\,e^5\,m^4+119\,B\,a^2\,d\,e^5\,m^3+342\,B\,a^2\,d\,e^5\,m^2+360\,B\,a^2\,d\,e^5\,m+A\,a^2\,e^6\,m^5+20\,A\,a^2\,e^6\,m^4+155\,A\,a^2\,e^6\,m^3+580\,A\,a^2\,e^6\,m^2+1044\,A\,a^2\,e^6\,m+720\,A\,a^2\,e^6-4\,B\,a\,b\,d^2\,e^4\,m^4-60\,B\,a\,b\,d^2\,e^4\,m^3-296\,B\,a\,b\,d^2\,e^4\,m^2-480\,B\,a\,b\,d^2\,e^4\,m+2\,A\,a\,b\,d\,e^5\,m^5+36\,A\,a\,b\,d\,e^5\,m^4+238\,A\,a\,b\,d\,e^5\,m^3+684\,A\,a\,b\,d\,e^5\,m^2+720\,A\,a\,b\,d\,e^5\,m+12\,B\,a\,c\,d^3\,e^3\,m^3+132\,B\,a\,c\,d^3\,e^3\,m^2+360\,B\,a\,c\,d^3\,e^3\,m-4\,A\,a\,c\,d^2\,e^4\,m^4-60\,A\,a\,c\,d^2\,e^4\,m^3-296\,A\,a\,c\,d^2\,e^4\,m^2-480\,A\,a\,c\,d^2\,e^4\,m+6\,B\,b^2\,d^3\,e^3\,m^3+66\,B\,b^2\,d^3\,e^3\,m^2+180\,B\,b^2\,d^3\,e^3\,m-2\,A\,b^2\,d^2\,e^4\,m^4-30\,A\,b^2\,d^2\,e^4\,m^3-148\,A\,b^2\,d^2\,e^4\,m^2-240\,A\,b^2\,d^2\,e^4\,m-48\,B\,b\,c\,d^4\,e^2\,m^2-288\,B\,b\,c\,d^4\,e^2\,m+12\,A\,b\,c\,d^3\,e^3\,m^3+132\,A\,b\,c\,d^3\,e^3\,m^2+360\,A\,b\,c\,d^3\,e^3\,m+120\,B\,c^2\,d^5\,e\,m-24\,A\,c^2\,d^4\,e^2\,m^2-144\,A\,c^2\,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^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(B\,b^2\,e^2\,m^2+11\,B\,b^2\,e^2\,m+30\,B\,b^2\,e^2+2\,B\,b\,c\,d\,e\,m^2+12\,B\,b\,c\,d\,e\,m+2\,A\,b\,c\,e^2\,m^2+22\,A\,b\,c\,e^2\,m+60\,A\,b\,c\,e^2-5\,B\,c^2\,d^2\,m+A\,c^2\,d\,e\,m^2+6\,A\,c^2\,d\,e\,m+2\,B\,a\,c\,e^2\,m^2+22\,B\,a\,c\,e^2\,m+60\,B\,a\,c\,e^2\right)}{e^2\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(B\,b^2\,d\,e^2\,m^3+11\,B\,b^2\,d\,e^2\,m^2+30\,B\,b^2\,d\,e^2\,m+A\,b^2\,e^3\,m^3+15\,A\,b^2\,e^3\,m^2+74\,A\,b^2\,e^3\,m+120\,A\,b^2\,e^3-8\,B\,b\,c\,d^2\,e\,m^2-48\,B\,b\,c\,d^2\,e\,m+2\,A\,b\,c\,d\,e^2\,m^3+22\,A\,b\,c\,d\,e^2\,m^2+60\,A\,b\,c\,d\,e^2\,m+2\,B\,a\,b\,e^3\,m^3+30\,B\,a\,b\,e^3\,m^2+148\,B\,a\,b\,e^3\,m+240\,B\,a\,b\,e^3+20\,B\,c^2\,d^3\,m-4\,A\,c^2\,d^2\,e\,m^2-24\,A\,c^2\,d^2\,e\,m+2\,B\,a\,c\,d\,e^2\,m^3+22\,B\,a\,c\,d\,e^2\,m^2+60\,B\,a\,c\,d\,e^2\,m+2\,A\,a\,c\,e^3\,m^3+30\,A\,a\,c\,e^3\,m^2+148\,A\,a\,c\,e^3\,m+240\,A\,a\,c\,e^3\right)}{e^3\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}+\frac{B\,c^2\,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{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(B\,a^2\,e^4\,m^4+18\,B\,a^2\,e^4\,m^3+119\,B\,a^2\,e^4\,m^2+342\,B\,a^2\,e^4\,m+360\,B\,a^2\,e^4+2\,B\,a\,b\,d\,e^3\,m^4+30\,B\,a\,b\,d\,e^3\,m^3+148\,B\,a\,b\,d\,e^3\,m^2+240\,B\,a\,b\,d\,e^3\,m+2\,A\,a\,b\,e^4\,m^4+36\,A\,a\,b\,e^4\,m^3+238\,A\,a\,b\,e^4\,m^2+684\,A\,a\,b\,e^4\,m+720\,A\,a\,b\,e^4-6\,B\,a\,c\,d^2\,e^2\,m^3-66\,B\,a\,c\,d^2\,e^2\,m^2-180\,B\,a\,c\,d^2\,e^2\,m+2\,A\,a\,c\,d\,e^3\,m^4+30\,A\,a\,c\,d\,e^3\,m^3+148\,A\,a\,c\,d\,e^3\,m^2+240\,A\,a\,c\,d\,e^3\,m-3\,B\,b^2\,d^2\,e^2\,m^3-33\,B\,b^2\,d^2\,e^2\,m^2-90\,B\,b^2\,d^2\,e^2\,m+A\,b^2\,d\,e^3\,m^4+15\,A\,b^2\,d\,e^3\,m^3+74\,A\,b^2\,d\,e^3\,m^2+120\,A\,b^2\,d\,e^3\,m+24\,B\,b\,c\,d^3\,e\,m^2+144\,B\,b\,c\,d^3\,e\,m-6\,A\,b\,c\,d^2\,e^2\,m^3-66\,A\,b\,c\,d^2\,e^2\,m^2-180\,A\,b\,c\,d^2\,e^2\,m-60\,B\,c^2\,d^4\,m+12\,A\,c^2\,d^3\,e\,m^2+72\,A\,c^2\,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{c\,x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(6\,A\,c\,e+12\,B\,b\,e+A\,c\,e\,m+2\,B\,b\,e\,m+B\,c\,d\,m\right)}{e\,\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^2*d*e^5 - 120*B*c^2*d^6 + 144*A*c^2*d^5*e + 240*A*b^2*d^3*e^3 - 360*B*a^2*d^2*e^4 - 180*B*b^2*d^4*e^2 + 580*A*a^2*d*e^5*m^2 + 155*A*a^2*d*e^5*m^3 + 20*A*a^2*d*e^5*m^4 + A*a^2*d*e^5*m^5 + 148*A*b^2*d^3*e^3*m - 342*B*a^2*d^2*e^4*m - 66*B*b^2*d^4*e^2*m + 288*B*b*c*d^5*e + 30*A*b^2*d^3*e^3*m^2 - 119*B*a^2*d^2*e^4*m^2 + 2*A*b^2*d^3*e^3*m^3 - 18*B*a^2*d^2*e^4*m^3 - B*a^2*d^2*e^4*m^4 - 6*B*b^2*d^4*e^2*m^2 - 720*A*a*b*d^2*e^4 + 480*A*a*c*d^3*e^3 + 480*B*a*b*d^3*e^3 - 360*A*b*c*d^4*e^2 - 360*B*a*c*d^4*e^2 + 1044*A*a^2*d*e^5*m + 24*A*c^2*d^5*e*m - 684*A*a*b*d^2*e^4*m + 296*A*a*c*d^3*e^3*m + 296*B*a*b*d^3*e^3*m - 132*A*b*c*d^4*e^2*m - 132*B*a*c*d^4*e^2*m - 238*A*a*b*d^2*e^4*m^2 - 36*A*a*b*d^2*e^4*m^3 - 2*A*a*b*d^2*e^4*m^4 + 60*A*a*c*d^3*e^3*m^2 + 60*B*a*b*d^3*e^3*m^2 + 4*A*a*c*d^3*e^3*m^3 + 4*B*a*b*d^3*e^3*m^3 - 12*A*b*c*d^4*e^2*m^2 - 12*B*a*c*d^4*e^2*m^2 + 48*B*b*c*d^5*e*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^2*e^6 + 1044*A*a^2*e^6*m + 580*A*a^2*e^6*m^2 + 155*A*a^2*e^6*m^3 + 20*A*a^2*e^6*m^4 + A*a^2*e^6*m^5 - 240*A*b^2*d^2*e^4*m + 342*B*a^2*d*e^5*m^2 + 119*B*a^2*d*e^5*m^3 + 18*B*a^2*d*e^5*m^4 + B*a^2*d*e^5*m^5 - 144*A*c^2*d^4*e^2*m + 180*B*b^2*d^3*e^3*m - 148*A*b^2*d^2*e^4*m^2 - 30*A*b^2*d^2*e^4*m^3 - 2*A*b^2*d^2*e^4*m^4 - 24*A*c^2*d^4*e^2*m^2 + 66*B*b^2*d^3*e^3*m^2 + 6*B*b^2*d^3*e^3*m^3 + 360*B*a^2*d*e^5*m + 120*B*c^2*d^5*e*m + 684*A*a*b*d*e^5*m^2 + 238*A*a*b*d*e^5*m^3 + 36*A*a*b*d*e^5*m^4 + 2*A*a*b*d*e^5*m^5 - 480*A*a*c*d^2*e^4*m - 480*B*a*b*d^2*e^4*m + 360*A*b*c*d^3*e^3*m + 360*B*a*c*d^3*e^3*m - 288*B*b*c*d^4*e^2*m - 296*A*a*c*d^2*e^4*m^2 - 296*B*a*b*d^2*e^4*m^2 - 60*A*a*c*d^2*e^4*m^3 - 60*B*a*b*d^2*e^4*m^3 - 4*A*a*c*d^2*e^4*m^4 - 4*B*a*b*d^2*e^4*m^4 + 132*A*b*c*d^3*e^3*m^2 + 132*B*a*c*d^3*e^3*m^2 + 12*A*b*c*d^3*e^3*m^3 + 12*B*a*c*d^3*e^3*m^3 - 48*B*b*c*d^4*e^2*m^2 + 720*A*a*b*d*e^5*m))/(e^6*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(30*B*b^2*e^2 + 60*A*b*c*e^2 + 60*B*a*c*e^2 + 11*B*b^2*e^2*m - 5*B*c^2*d^2*m + B*b^2*e^2*m^2 + 22*A*b*c*e^2*m + 22*B*a*c*e^2*m + 6*A*c^2*d*e*m + 2*A*b*c*e^2*m^2 + 2*B*a*c*e^2*m^2 + A*c^2*d*e*m^2 + 12*B*b*c*d*e*m + 2*B*b*c*d*e*m^2))/(e^2*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(120*A*b^2*e^3 + 240*A*a*c*e^3 + 240*B*a*b*e^3 + 74*A*b^2*e^3*m + 20*B*c^2*d^3*m + 15*A*b^2*e^3*m^2 + A*b^2*e^3*m^3 - 4*A*c^2*d^2*e*m^2 + 11*B*b^2*d*e^2*m^2 + B*b^2*d*e^2*m^3 + 148*A*a*c*e^3*m + 148*B*a*b*e^3*m + 30*A*a*c*e^3*m^2 + 30*B*a*b*e^3*m^2 + 2*A*a*c*e^3*m^3 + 2*B*a*b*e^3*m^3 - 24*A*c^2*d^2*e*m + 30*B*b^2*d*e^2*m + 22*A*b*c*d*e^2*m^2 + 22*B*a*c*d*e^2*m^2 + 2*A*b*c*d*e^2*m^3 + 2*B*a*c*d*e^2*m^3 - 8*B*b*c*d^2*e*m^2 + 60*A*b*c*d*e^2*m + 60*B*a*c*d*e^2*m - 48*B*b*c*d^2*e*m))/(e^3*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (B*c^2*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) + (x^2*(m + 1)*(d + e*x)^m*(360*B*a^2*e^4 + 720*A*a*b*e^4 + 342*B*a^2*e^4*m - 60*B*c^2*d^4*m + 119*B*a^2*e^4*m^2 + 18*B*a^2*e^4*m^3 + B*a^2*e^4*m^4 + 74*A*b^2*d*e^3*m^2 + 15*A*b^2*d*e^3*m^3 + A*b^2*d*e^3*m^4 - 90*B*b^2*d^2*e^2*m + 12*A*c^2*d^3*e*m^2 + 684*A*a*b*e^4*m - 33*B*b^2*d^2*e^2*m^2 - 3*B*b^2*d^2*e^2*m^3 + 238*A*a*b*e^4*m^2 + 36*A*a*b*e^4*m^3 + 2*A*a*b*e^4*m^4 + 120*A*b^2*d*e^3*m + 72*A*c^2*d^3*e*m + 148*A*a*c*d*e^3*m^2 + 148*B*a*b*d*e^3*m^2 + 30*A*a*c*d*e^3*m^3 + 30*B*a*b*d*e^3*m^3 + 2*A*a*c*d*e^3*m^4 + 2*B*a*b*d*e^3*m^4 - 180*A*b*c*d^2*e^2*m - 180*B*a*c*d^2*e^2*m + 24*B*b*c*d^3*e*m^2 - 66*A*b*c*d^2*e^2*m^2 - 66*B*a*c*d^2*e^2*m^2 - 6*A*b*c*d^2*e^2*m^3 - 6*B*a*c*d^2*e^2*m^3 + 240*A*a*c*d*e^3*m + 240*B*a*b*d*e^3*m + 144*B*b*c*d^3*e*m))/(e^4*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)) + (c*x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(6*A*c*e + 12*B*b*e + A*c*e*m + 2*B*b*e*m + B*c*d*m))/(e*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))","B"
2642,1,602,153,2.970796,"\text{Not used}","int((A + B*x)*(d + e*x)^m*(a + b*x + c*x^2),x)","\frac{{\left(d+e\,x\right)}^m\,\left(24\,A\,a\,d\,e^3-6\,B\,c\,d^4+8\,A\,c\,d^3\,e+8\,B\,b\,d^3\,e-12\,A\,b\,d^2\,e^2-12\,B\,a\,d^2\,e^2-A\,b\,d^2\,e^2\,m^2-B\,a\,d^2\,e^2\,m^2+26\,A\,a\,d\,e^3\,m+2\,A\,c\,d^3\,e\,m+2\,B\,b\,d^3\,e\,m+9\,A\,a\,d\,e^3\,m^2+A\,a\,d\,e^3\,m^3-7\,A\,b\,d^2\,e^2\,m-7\,B\,a\,d^2\,e^2\,m\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(24\,A\,a\,e^4+26\,A\,a\,e^4\,m+9\,A\,a\,e^4\,m^2+A\,a\,e^4\,m^3-2\,A\,c\,d^2\,e^2\,m^2-2\,B\,b\,d^2\,e^2\,m^2+12\,A\,b\,d\,e^3\,m+12\,B\,a\,d\,e^3\,m+6\,B\,c\,d^3\,e\,m+7\,A\,b\,d\,e^3\,m^2+7\,B\,a\,d\,e^3\,m^2+A\,b\,d\,e^3\,m^3+B\,a\,d\,e^3\,m^3-8\,A\,c\,d^2\,e^2\,m-8\,B\,b\,d^2\,e^2\,m\right)}{e^4\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(4\,A\,c\,e+4\,B\,b\,e+A\,c\,e\,m+B\,b\,e\,m+B\,c\,d\,m\right)}{e\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}+\frac{B\,c\,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{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(12\,A\,b\,e^2+12\,B\,a\,e^2+7\,A\,b\,e^2\,m+7\,B\,a\,e^2\,m-3\,B\,c\,d^2\,m+A\,b\,e^2\,m^2+B\,a\,e^2\,m^2+4\,A\,c\,d\,e\,m+4\,B\,b\,d\,e\,m+A\,c\,d\,e\,m^2+B\,b\,d\,e\,m^2\right)}{e^2\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)}","Not used",1,"((d + e*x)^m*(24*A*a*d*e^3 - 6*B*c*d^4 + 8*A*c*d^3*e + 8*B*b*d^3*e - 12*A*b*d^2*e^2 - 12*B*a*d^2*e^2 - A*b*d^2*e^2*m^2 - B*a*d^2*e^2*m^2 + 26*A*a*d*e^3*m + 2*A*c*d^3*e*m + 2*B*b*d^3*e*m + 9*A*a*d*e^3*m^2 + A*a*d*e^3*m^3 - 7*A*b*d^2*e^2*m - 7*B*a*d^2*e^2*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x*(d + e*x)^m*(24*A*a*e^4 + 26*A*a*e^4*m + 9*A*a*e^4*m^2 + A*a*e^4*m^3 - 2*A*c*d^2*e^2*m^2 - 2*B*b*d^2*e^2*m^2 + 12*A*b*d*e^3*m + 12*B*a*d*e^3*m + 6*B*c*d^3*e*m + 7*A*b*d*e^3*m^2 + 7*B*a*d*e^3*m^2 + A*b*d*e^3*m^3 + B*a*d*e^3*m^3 - 8*A*c*d^2*e^2*m - 8*B*b*d^2*e^2*m))/(e^4*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(4*A*c*e + 4*B*b*e + A*c*e*m + B*b*e*m + B*c*d*m))/(e*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)) + (B*c*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) + (x^2*(m + 1)*(d + e*x)^m*(12*A*b*e^2 + 12*B*a*e^2 + 7*A*b*e^2*m + 7*B*a*e^2*m - 3*B*c*d^2*m + A*b*e^2*m^2 + B*a*e^2*m^2 + 4*A*c*d*e*m + 4*B*b*d*e*m + A*c*d*e*m^2 + B*b*d*e*m^2))/(e^2*(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
2643,0,-1,212,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + b*x + c*x^2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + b*x + c*x^2), x)","F"
2644,0,-1,538,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^m)/(a + b*x + c*x^2)^2,x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^m}{{\left(c\,x^2+b\,x+a\right)}^2} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^m)/(a + b*x + c*x^2)^2, x)","F"
2645,0,-1,212,0.000000,"\text{Not used}","int(((A + B*x)*(d + e*x)^(m + 1))/(a + b*x + c*x^2),x)","\int \frac{\left(A+B\,x\right)\,{\left(d+e\,x\right)}^{m+1}}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(((A + B*x)*(d + e*x)^(m + 1))/(a + b*x + c*x^2), x)","F"
2646,0,-1,349,0.000000,"\text{Not used}","int(((A + B*x)*(a + b*x + c*x^2)^p)/(d + e*x)^(2*p + 3),x)","\int \frac{\left(A+B\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^p}{{\left(d+e\,x\right)}^{2\,p+3}} \,d x","Not used",1,"int(((A + B*x)*(a + b*x + c*x^2)^p)/(d + e*x)^(2*p + 3), x)","F"