1,1,70,83,0.095861,"\text{Not used}","int(sin(e + f*x)^7*(a + b/cos(e + f*x)^2),x)","\frac{\frac{a\,{\cos\left(e+f\,x\right)}^7}{7}-\cos\left(e+f\,x\right)\,\left(a-3\,b\right)-{\cos\left(e+f\,x\right)}^5\,\left(\frac{3\,a}{5}-\frac{b}{5}\right)+\frac{b}{\cos\left(e+f\,x\right)}+{\cos\left(e+f\,x\right)}^3\,\left(a-b\right)}{f}","Not used",1,"((a*cos(e + f*x)^7)/7 - cos(e + f*x)*(a - 3*b) - cos(e + f*x)^5*((3*a)/5 - b/5) + b/cos(e + f*x) + cos(e + f*x)^3*(a - b))/f","B"
2,1,55,66,4.211704,"\text{Not used}","int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2),x)","\frac{{\cos\left(e+f\,x\right)}^3\,\left(\frac{2\,a}{3}-\frac{b}{3}\right)-\cos\left(e+f\,x\right)\,\left(a-2\,b\right)-\frac{a\,{\cos\left(e+f\,x\right)}^5}{5}+\frac{b}{\cos\left(e+f\,x\right)}}{f}","Not used",1,"(cos(e + f*x)^3*((2*a)/3 - b/3) - cos(e + f*x)*(a - 2*b) - (a*cos(e + f*x)^5)/5 + b/cos(e + f*x))/f","B"
3,1,39,44,0.071310,"\text{Not used}","int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2),x)","\frac{\frac{a\,{\cos\left(e+f\,x\right)}^3}{3}-\cos\left(e+f\,x\right)\,\left(a-b\right)+\frac{b}{\cos\left(e+f\,x\right)}}{f}","Not used",1,"((a*cos(e + f*x)^3)/3 - cos(e + f*x)*(a - b) + b/cos(e + f*x))/f","B"
4,1,25,24,0.044496,"\text{Not used}","int(sin(e + f*x)*(a + b/cos(e + f*x)^2),x)","-\frac{a\,\cos\left(e+f\,x\right)-\frac{b}{\cos\left(e+f\,x\right)}}{f}","Not used",1,"-(a*cos(e + f*x) - b/cos(e + f*x))/f","B"
5,1,29,27,0.093799,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x),x)","\frac{b}{f\,\cos\left(e+f\,x\right)}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,\left(a+b\right)}{f}","Not used",1,"b/(f*cos(e + f*x)) - (atanh(cos(e + f*x))*(a + b))/f","B"
6,1,62,53,4.203002,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x)^3,x)","\frac{b-{\cos\left(e+f\,x\right)}^2\,\left(\frac{a}{2}+\frac{3\,b}{2}\right)}{f\,\left(\cos\left(e+f\,x\right)-{\cos\left(e+f\,x\right)}^3\right)}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,\left(\frac{a}{2}+\frac{3\,b}{2}\right)}{f}","Not used",1,"(b - cos(e + f*x)^2*(a/2 + (3*b)/2))/(f*(cos(e + f*x) - cos(e + f*x)^3)) - (atanh(cos(e + f*x))*(a/2 + (3*b)/2))/f","B"
7,1,86,81,4.287050,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x)^5,x)","\frac{\left(\frac{3\,a}{8}+\frac{15\,b}{8}\right)\,{\cos\left(e+f\,x\right)}^4+\left(-\frac{5\,a}{8}-\frac{25\,b}{8}\right)\,{\cos\left(e+f\,x\right)}^2+b}{f\,\left({\cos\left(e+f\,x\right)}^5-2\,{\cos\left(e+f\,x\right)}^3+\cos\left(e+f\,x\right)\right)}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,\left(\frac{3\,a}{8}+\frac{15\,b}{8}\right)}{f}","Not used",1,"(b + cos(e + f*x)^4*((3*a)/8 + (15*b)/8) - cos(e + f*x)^2*((5*a)/8 + (25*b)/8))/(f*(cos(e + f*x) - 2*cos(e + f*x)^3 + cos(e + f*x)^5)) - (atanh(cos(e + f*x))*((3*a)/8 + (15*b)/8))/f","B"
8,1,105,98,4.887070,"\text{Not used}","int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2),x)","x\,\left(\frac{5\,a}{16}-\frac{15\,b}{8}\right)-\frac{\left(\frac{11\,a}{16}-\frac{9\,b}{8}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(\frac{5\,a}{6}-2\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{5\,a}{16}-\frac{7\,b}{8}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}+\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"x*((5*a)/16 - (15*b)/8) - (tan(e + f*x)^3*((5*a)/6 - 2*b) + tan(e + f*x)^5*((11*a)/16 - (9*b)/8) + tan(e + f*x)*((5*a)/16 - (7*b)/8))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1)) + (b*tan(e + f*x))/f","B"
9,1,79,70,4.399907,"\text{Not used}","int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2),x)","x\,\left(\frac{3\,a}{8}-\frac{3\,b}{2}\right)-\frac{\left(\frac{5\,a}{8}-\frac{b}{2}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{3\,a}{8}-\frac{b}{2}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}+\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"x*((3*a)/8 - (3*b)/2) - (tan(e + f*x)^3*((5*a)/8 - b/2) + tan(e + f*x)*((3*a)/8 - b/2))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1)) + (b*tan(e + f*x))/f","B"
10,1,35,42,4.243872,"\text{Not used}","int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2),x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)-\frac{a\,\sin\left(2\,e+2\,f\,x\right)}{4}+f\,x\,\left(\frac{a}{2}-b\right)}{f}","Not used",1,"(b*tan(e + f*x) - (a*sin(2*e + 2*f*x))/4 + f*x*(a/2 - b))/f","B"
11,1,17,15,4.304722,"\text{Not used}","int(a + b/cos(e + f*x)^2,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)+a\,f\,x}{f}","Not used",1,"(b*tan(e + f*x) + a*f*x)/f","B"
12,1,28,26,4.207720,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x)^2,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{f}-\frac{a+b}{f\,\mathrm{tan}\left(e+f\,x\right)}","Not used",1,"(b*tan(e + f*x))/f - (a + b)/(f*tan(e + f*x))","B"
13,1,46,46,4.307384,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x)^4,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{f}-\frac{\left(a+2\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{a}{3}+\frac{b}{3}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}","Not used",1,"(b*tan(e + f*x))/f - (a/3 + b/3 + tan(e + f*x)^2*(a + 2*b))/(f*tan(e + f*x)^3)","B"
14,1,60,68,4.523091,"\text{Not used}","int((a + b/cos(e + f*x)^2)/sin(e + f*x)^6,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{f}-\frac{\left(a+3\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(\frac{2\,a}{3}+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{a}{5}+\frac{b}{5}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}","Not used",1,"(b*tan(e + f*x))/f - (a/5 + b/5 + tan(e + f*x)^2*((2*a)/3 + b) + tan(e + f*x)^4*(a + 3*b))/(f*tan(e + f*x)^5)","B"
15,1,87,97,4.301740,"\text{Not used}","int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{\frac{b^2}{3}+{\cos\left(e+f\,x\right)}^2\,\left(2\,a\,b-2\,b^2\right)}{{\cos\left(e+f\,x\right)}^3}-\cos\left(e+f\,x\right)\,\left(a^2-4\,a\,b+b^2\right)-\frac{a^2\,{\cos\left(e+f\,x\right)}^5}{5}+\frac{2\,a\,{\cos\left(e+f\,x\right)}^3\,\left(a-b\right)}{3}}{f}","Not used",1,"((b^2/3 + cos(e + f*x)^2*(2*a*b - 2*b^2))/cos(e + f*x)^3 - cos(e + f*x)*(a^2 - 4*a*b + b^2) - (a^2*cos(e + f*x)^5)/5 + (2*a*cos(e + f*x)^3*(a - b))/3)/f","B"
16,1,66,72,4.136770,"\text{Not used}","int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{\frac{b^2}{3}+{\cos\left(e+f\,x\right)}^2\,\left(2\,a\,b-b^2\right)}{{\cos\left(e+f\,x\right)}^3}+\frac{a^2\,{\cos\left(e+f\,x\right)}^3}{3}-a\,\cos\left(e+f\,x\right)\,\left(a-2\,b\right)}{f}","Not used",1,"((b^2/3 + cos(e + f*x)^2*(2*a*b - b^2))/cos(e + f*x)^3 + (a^2*cos(e + f*x)^3)/3 - a*cos(e + f*x)*(a - 2*b))/f","B"
17,1,45,46,0.062448,"\text{Not used}","int(sin(e + f*x)*(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{b^2}{3}+2\,a\,b\,{\cos\left(e+f\,x\right)}^2}{f\,{\cos\left(e+f\,x\right)}^3}-\frac{a^2\,\cos\left(e+f\,x\right)}{f}","Not used",1,"(b^2/3 + 2*a*b*cos(e + f*x)^2)/(f*cos(e + f*x)^3) - (a^2*cos(e + f*x))/f","B"
18,1,53,52,0.118009,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x),x)","\frac{{\cos\left(e+f\,x\right)}^2\,\left(b^2+2\,a\,b\right)+\frac{b^2}{3}}{f\,{\cos\left(e+f\,x\right)}^3}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,{\left(a+b\right)}^2}{f}","Not used",1,"(cos(e + f*x)^2*(2*a*b + b^2) + b^2/3)/(f*cos(e + f*x)^3) - (atanh(cos(e + f*x))*(a + b)^2)/f","B"
19,1,96,104,4.290924,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x)^3,x)","\frac{\frac{b^2}{3}+{\cos\left(e+f\,x\right)}^2\,\left(\frac{5\,b^2}{3}+2\,a\,b\right)-{\cos\left(e+f\,x\right)}^4\,\left(\frac{a^2}{2}+3\,a\,b+\frac{5\,b^2}{2}\right)}{f\,\left({\cos\left(e+f\,x\right)}^3-{\cos\left(e+f\,x\right)}^5\right)}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,\left(a+b\right)\,\left(a+5\,b\right)}{2\,f}","Not used",1,"(b^2/3 + cos(e + f*x)^2*(2*a*b + (5*b^2)/3) - cos(e + f*x)^4*(3*a*b + a^2/2 + (5*b^2)/2))/(f*(cos(e + f*x)^3 - cos(e + f*x)^5)) - (atanh(cos(e + f*x))*(a + b)*(a + 5*b))/(2*f)","B"
20,1,135,141,4.418826,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x)^5,x)","\frac{\frac{b^2}{3}+{\cos\left(e+f\,x\right)}^2\,\left(\frac{7\,b^2}{3}+2\,a\,b\right)+{\cos\left(e+f\,x\right)}^6\,\left(\frac{3\,a^2}{8}+\frac{15\,a\,b}{4}+\frac{35\,b^2}{8}\right)-{\cos\left(e+f\,x\right)}^4\,\left(\frac{5\,a^2}{8}+\frac{25\,a\,b}{4}+\frac{175\,b^2}{24}\right)}{f\,\left({\cos\left(e+f\,x\right)}^7-2\,{\cos\left(e+f\,x\right)}^5+{\cos\left(e+f\,x\right)}^3\right)}-\frac{\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)\,\left(\frac{3\,a^2}{8}+\frac{15\,a\,b}{4}+\frac{35\,b^2}{8}\right)}{f}","Not used",1,"(b^2/3 + cos(e + f*x)^2*(2*a*b + (7*b^2)/3) + cos(e + f*x)^6*((15*a*b)/4 + (3*a^2)/8 + (35*b^2)/8) - cos(e + f*x)^4*((25*a*b)/4 + (5*a^2)/8 + (175*b^2)/24))/(f*(cos(e + f*x)^3 - 2*cos(e + f*x)^5 + cos(e + f*x)^7)) - (atanh(cos(e + f*x))*((15*a*b)/4 + (3*a^2)/8 + (35*b^2)/8))/f","B"
21,1,163,148,4.790849,"\text{Not used}","int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^2,x)","x\,\left(\frac{5\,a^2}{16}-\frac{15\,a\,b}{4}+\frac{5\,b^2}{2}\right)-\frac{\left(\frac{11\,a^2}{16}-\frac{9\,a\,b}{4}+\frac{b^2}{2}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(\frac{5\,a^2}{6}-4\,a\,b+b^2\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{5\,a^2}{16}-\frac{7\,a\,b}{4}+\frac{b^2}{2}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,b^2-2\,b\,\left(a+b\right)\right)}{f}","Not used",1,"x*((5*a^2)/16 - (15*a*b)/4 + (5*b^2)/2) - (tan(e + f*x)*((5*a^2)/16 - (7*a*b)/4 + b^2/2) + tan(e + f*x)^3*((5*a^2)/6 - 4*a*b + b^2) + tan(e + f*x)^5*((11*a^2)/16 - (9*a*b)/4 + b^2/2))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1)) + (b^2*tan(e + f*x)^3)/(3*f) - (tan(e + f*x)*(4*b^2 - 2*b*(a + b)))/f","B"
22,1,116,114,4.325258,"\text{Not used}","int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^2,x)","x\,\left(\frac{3\,a^2}{8}-3\,a\,b+b^2\right)+\frac{\left(a\,b-\frac{5\,a^2}{8}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(a\,b-\frac{3\,a^2}{8}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,b^2-2\,b\,\left(a+b\right)\right)}{f}","Not used",1,"x*((3*a^2)/8 - 3*a*b + b^2) + (tan(e + f*x)*(a*b - (3*a^2)/8) + tan(e + f*x)^3*(a*b - (5*a^2)/8))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1)) + (b^2*tan(e + f*x)^3)/(3*f) - (tan(e + f*x)*(3*b^2 - 2*b*(a + b)))/f","B"
23,1,94,73,4.459681,"\text{Not used}","int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^2,x)","\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{a^2\,\sin\left(2\,e+2\,f\,x\right)}{4\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,b^2-2\,b\,\left(a+b\right)\right)}{f}-\frac{a\,\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(e+f\,x\right)\,\left(a-4\,b\right)}{2\,\left(2\,a\,b-\frac{a^2}{2}\right)}\right)\,\left(a-4\,b\right)}{2\,f}","Not used",1,"(b^2*tan(e + f*x)^3)/(3*f) - (a^2*sin(2*e + 2*f*x))/(4*f) - (tan(e + f*x)*(2*b^2 - 2*b*(a + b)))/f - (a*atan((a*tan(e + f*x)*(a - 4*b))/(2*(2*a*b - a^2/2)))*(a - 4*b))/(2*f)","B"
24,1,42,40,4.333346,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}-\mathrm{tan}\left(e+f\,x\right)\,\left(b^2-2\,b\,\left(a+b\right)\right)+a^2\,f\,x}{f}","Not used",1,"((b^2*tan(e + f*x)^3)/3 - tan(e + f*x)*(b^2 - 2*b*(a + b)) + a^2*f*x)/f","B"
25,1,56,50,4.402361,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x)^2,x)","\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{a^2+2\,a\,b+b^2}{f\,\mathrm{tan}\left(e+f\,x\right)}+\frac{2\,b\,\mathrm{tan}\left(e+f\,x\right)\,\left(a+b\right)}{f}","Not used",1,"(b^2*tan(e + f*x)^3)/(3*f) - (2*a*b + a^2 + b^2)/(f*tan(e + f*x)) + (2*b*tan(e + f*x)*(a + b))/f","B"
26,1,85,76,4.449257,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x)^4,x)","\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{\frac{2\,a\,b}{3}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2+4\,a\,b+3\,b^2\right)+\frac{a^2}{3}+\frac{b^2}{3}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}+\frac{b\,\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a+3\,b\right)}{f}","Not used",1,"(b^2*tan(e + f*x)^3)/(3*f) - ((2*a*b)/3 + tan(e + f*x)^2*(4*a*b + a^2 + 3*b^2) + a^2/3 + b^2/3)/(f*tan(e + f*x)^3) + (b*tan(e + f*x)*(2*a + 3*b))/f","B"
27,1,108,103,4.802937,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/sin(e + f*x)^6,x)","\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}-\frac{\frac{2\,a\,b}{5}+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2+6\,a\,b+6\,b^2\right)+\frac{a^2}{5}+\frac{b^2}{5}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{2\,a^2}{3}+2\,a\,b+\frac{4\,b^2}{3}\right)}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}+\frac{2\,b\,\mathrm{tan}\left(e+f\,x\right)\,\left(a+2\,b\right)}{f}","Not used",1,"(b^2*tan(e + f*x)^3)/(3*f) - ((2*a*b)/5 + tan(e + f*x)^4*(6*a*b + a^2 + 6*b^2) + a^2/5 + b^2/5 + tan(e + f*x)^2*(2*a*b + (2*a^2)/3 + (4*b^2)/3))/(f*tan(e + f*x)^5) + (2*b*tan(e + f*x)*(a + 2*b))/f","B"
28,1,123,98,4.307482,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2),x)","\frac{{\cos\left(e+f\,x\right)}^3\,\left(\frac{b}{3\,a^2}+\frac{2}{3\,a}\right)}{f}-\frac{{\cos\left(e+f\,x\right)}^5}{5\,a\,f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{1}{a}+\frac{b\,\left(\frac{b}{a^2}+\frac{2}{a}\right)}{a}\right)}{f}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,{\left(a+b\right)}^2}{a^2\,b+2\,a\,b^2+b^3}\right)\,{\left(a+b\right)}^2}{a^{7/2}\,f}","Not used",1,"(cos(e + f*x)^3*(b/(3*a^2) + 2/(3*a)))/f - cos(e + f*x)^5/(5*a*f) - (cos(e + f*x)*(1/a + (b*(b/a^2 + 2/a))/a))/f + (b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(a + b)^2)/(2*a*b^2 + a^2*b + b^3))*(a + b)^2)/(a^(7/2)*f)","B"
29,1,76,71,0.120996,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2),x)","\frac{{\cos\left(e+f\,x\right)}^3}{3\,a\,f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{b}{a^2}+\frac{1}{a}\right)}{f}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,\left(a+b\right)}{b^2+a\,b}\right)\,\left(a+b\right)}{a^{5/2}\,f}","Not used",1,"cos(e + f*x)^3/(3*a*f) - (cos(e + f*x)*(b/a^2 + 1/a))/f + (b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(a + b))/(a*b + b^2))*(a + b))/(a^(5/2)*f)","B"
30,1,39,47,0.067348,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2),x)","\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\cos\left(e+f\,x\right)}{\sqrt{b}}\right)}{a^{3/2}\,f}-\frac{\cos\left(e+f\,x\right)}{a\,f}","Not used",1,"(b^(1/2)*atan((a^(1/2)*cos(e + f*x))/b^(1/2)))/(a^(3/2)*f) - cos(e + f*x)/(a*f)","B"
31,1,123,55,0.206302,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)),x)","-\frac{\mathrm{atanh}\left(\frac{\cos\left(e+f\,x\right)\,\left(2\,a^3+2\,a\,b^2\right)-\frac{\cos\left(e+f\,x\right)\,\left(8\,a^5+8\,a^4\,b-8\,a^3\,b^2-8\,a^2\,b^3\right)}{4\,{\left(a+b\right)}^2}}{2\,a\,b\,\left(a+b\right)}\right)}{f\,\left(a+b\right)}-\frac{\mathrm{atanh}\left(\frac{\cos\left(e+f\,x\right)\,\sqrt{-a\,b}}{b}\right)\,\sqrt{-a\,b}}{f\,\left(a^2+b\,a\right)}","Not used",1,"- atanh((cos(e + f*x)*(2*a*b^2 + 2*a^3) - (cos(e + f*x)*(8*a^4*b + 8*a^5 - 8*a^2*b^3 - 8*a^3*b^2))/(4*(a + b)^2))/(2*a*b*(a + b)))/(f*(a + b)) - (atanh((cos(e + f*x)*(-a*b)^(1/2))/b)*(-a*b)^(1/2))/(f*(a*b + a^2))","B"
32,1,392,86,4.911897,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)),x)","-\frac{2\,a\,\cos\left(e+f\,x\right)+2\,b\,\cos\left(e+f\,x\right)-a\,\ln\left(\cos\left(e+f\,x\right)-1\right)+a\,\ln\left(\cos\left(e+f\,x\right)+1\right)+b\,\ln\left(\cos\left(e+f\,x\right)-1\right)-b\,\ln\left(\cos\left(e+f\,x\right)+1\right)+a\,\ln\left(\cos\left(e+f\,x\right)-1\right)\,{\cos\left(e+f\,x\right)}^2-a\,\ln\left(\cos\left(e+f\,x\right)+1\right)\,{\cos\left(e+f\,x\right)}^2-b\,\ln\left(\cos\left(e+f\,x\right)-1\right)\,{\cos\left(e+f\,x\right)}^2+b\,\ln\left(\cos\left(e+f\,x\right)+1\right)\,{\cos\left(e+f\,x\right)}^2-\mathrm{atan}\left(\frac{a^3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,1{}\mathrm{i}+a\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,1{}\mathrm{i}+a^2\,b\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,2{}\mathrm{i}}{a^3\,b+2\,a^2\,b^2+a\,b^3}\right)\,\sqrt{-a\,b}\,4{}\mathrm{i}+{\cos\left(e+f\,x\right)}^2\,\mathrm{atan}\left(\frac{a^3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,1{}\mathrm{i}+a\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,1{}\mathrm{i}+a^2\,b\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,2{}\mathrm{i}}{a^3\,b+2\,a^2\,b^2+a\,b^3}\right)\,\sqrt{-a\,b}\,4{}\mathrm{i}}{-4\,f\,a^2\,{\cos\left(e+f\,x\right)}^2+4\,f\,a^2-8\,f\,a\,b\,{\cos\left(e+f\,x\right)}^2+8\,f\,a\,b-4\,f\,b^2\,{\cos\left(e+f\,x\right)}^2+4\,f\,b^2}","Not used",1,"-(2*a*cos(e + f*x) + 2*b*cos(e + f*x) - atan((a^3*cos(e + f*x)*(-a*b)^(1/2)*1i + a*b^2*cos(e + f*x)*(-a*b)^(1/2)*1i + a^2*b*cos(e + f*x)*(-a*b)^(1/2)*2i)/(a*b^3 + a^3*b + 2*a^2*b^2))*(-a*b)^(1/2)*4i - a*log(cos(e + f*x) - 1) + a*log(cos(e + f*x) + 1) + b*log(cos(e + f*x) - 1) - b*log(cos(e + f*x) + 1) + cos(e + f*x)^2*atan((a^3*cos(e + f*x)*(-a*b)^(1/2)*1i + a*b^2*cos(e + f*x)*(-a*b)^(1/2)*1i + a^2*b*cos(e + f*x)*(-a*b)^(1/2)*2i)/(a*b^3 + a^3*b + 2*a^2*b^2))*(-a*b)^(1/2)*4i + a*log(cos(e + f*x) - 1)*cos(e + f*x)^2 - a*log(cos(e + f*x) + 1)*cos(e + f*x)^2 - b*log(cos(e + f*x) - 1)*cos(e + f*x)^2 + b*log(cos(e + f*x) + 1)*cos(e + f*x)^2)/(4*a^2*f + 4*b^2*f - 4*a^2*f*cos(e + f*x)^2 - 4*b^2*f*cos(e + f*x)^2 + 8*a*b*f - 8*a*b*f*cos(e + f*x)^2)","B"
33,1,870,129,7.895067,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)),x)","\frac{3\,a^2\,{\cos\left(e+f\,x\right)}^3-b^2\,\cos\left(e+f\,x\right)-5\,a^2\,\cos\left(e+f\,x\right)-b^2\,{\cos\left(e+f\,x\right)}^3-3\,a^2\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)+b^2\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)-6\,a\,b\,\cos\left(e+f\,x\right)+6\,a^2\,{\cos\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)-3\,a^2\,{\cos\left(e+f\,x\right)}^4\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)-2\,b^2\,{\cos\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)+b^2\,{\cos\left(e+f\,x\right)}^4\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)+2\,a\,b\,{\cos\left(e+f\,x\right)}^3+6\,a\,b\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)-12\,a\,b\,{\cos\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)+6\,a\,b\,{\cos\left(e+f\,x\right)}^4\,\mathrm{atanh}\left(\cos\left(e+f\,x\right)\right)+\mathrm{atan}\left(\frac{a^5\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,9{}\mathrm{i}+a^2\,b^3\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,12{}\mathrm{i}+a^3\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,30{}\mathrm{i}+a\,b^4\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,1{}\mathrm{i}+a^4\,b\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,28{}\mathrm{i}}{9\,a^6\,b+28\,a^5\,b^2+30\,a^4\,b^3+12\,a^3\,b^4+a^2\,b^5}\right)\,\sqrt{-a^3\,b}\,8{}\mathrm{i}-\mathrm{atan}\left(\frac{a^5\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,9{}\mathrm{i}+a^2\,b^3\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,12{}\mathrm{i}+a^3\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,30{}\mathrm{i}+a\,b^4\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,1{}\mathrm{i}+a^4\,b\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,28{}\mathrm{i}}{9\,a^6\,b+28\,a^5\,b^2+30\,a^4\,b^3+12\,a^3\,b^4+a^2\,b^5}\right)\,{\cos\left(e+f\,x\right)}^2\,\sqrt{-a^3\,b}\,16{}\mathrm{i}+\mathrm{atan}\left(\frac{a^5\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,9{}\mathrm{i}+a^2\,b^3\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,12{}\mathrm{i}+a^3\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,30{}\mathrm{i}+a\,b^4\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,1{}\mathrm{i}+a^4\,b\,\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,28{}\mathrm{i}}{9\,a^6\,b+28\,a^5\,b^2+30\,a^4\,b^3+12\,a^3\,b^4+a^2\,b^5}\right)\,{\cos\left(e+f\,x\right)}^4\,\sqrt{-a^3\,b}\,8{}\mathrm{i}}{8\,f\,a^3\,{\cos\left(e+f\,x\right)}^4-16\,f\,a^3\,{\cos\left(e+f\,x\right)}^2+8\,f\,a^3+24\,f\,a^2\,b\,{\cos\left(e+f\,x\right)}^4-48\,f\,a^2\,b\,{\cos\left(e+f\,x\right)}^2+24\,f\,a^2\,b+24\,f\,a\,b^2\,{\cos\left(e+f\,x\right)}^4-48\,f\,a\,b^2\,{\cos\left(e+f\,x\right)}^2+24\,f\,a\,b^2+8\,f\,b^3\,{\cos\left(e+f\,x\right)}^4-16\,f\,b^3\,{\cos\left(e+f\,x\right)}^2+8\,f\,b^3}","Not used",1,"(atan((a^5*cos(e + f*x)*(-a^3*b)^(1/2)*9i + a^2*b^3*cos(e + f*x)*(-a^3*b)^(1/2)*12i + a^3*b^2*cos(e + f*x)*(-a^3*b)^(1/2)*30i + a*b^4*cos(e + f*x)*(-a^3*b)^(1/2)*1i + a^4*b*cos(e + f*x)*(-a^3*b)^(1/2)*28i)/(9*a^6*b + a^2*b^5 + 12*a^3*b^4 + 30*a^4*b^3 + 28*a^5*b^2))*(-a^3*b)^(1/2)*8i - 5*a^2*cos(e + f*x) - b^2*cos(e + f*x) + 3*a^2*cos(e + f*x)^3 - b^2*cos(e + f*x)^3 - 3*a^2*atanh(cos(e + f*x)) + b^2*atanh(cos(e + f*x)) - atan((a^5*cos(e + f*x)*(-a^3*b)^(1/2)*9i + a^2*b^3*cos(e + f*x)*(-a^3*b)^(1/2)*12i + a^3*b^2*cos(e + f*x)*(-a^3*b)^(1/2)*30i + a*b^4*cos(e + f*x)*(-a^3*b)^(1/2)*1i + a^4*b*cos(e + f*x)*(-a^3*b)^(1/2)*28i)/(9*a^6*b + a^2*b^5 + 12*a^3*b^4 + 30*a^4*b^3 + 28*a^5*b^2))*cos(e + f*x)^2*(-a^3*b)^(1/2)*16i + atan((a^5*cos(e + f*x)*(-a^3*b)^(1/2)*9i + a^2*b^3*cos(e + f*x)*(-a^3*b)^(1/2)*12i + a^3*b^2*cos(e + f*x)*(-a^3*b)^(1/2)*30i + a*b^4*cos(e + f*x)*(-a^3*b)^(1/2)*1i + a^4*b*cos(e + f*x)*(-a^3*b)^(1/2)*28i)/(9*a^6*b + a^2*b^5 + 12*a^3*b^4 + 30*a^4*b^3 + 28*a^5*b^2))*cos(e + f*x)^4*(-a^3*b)^(1/2)*8i - 6*a*b*cos(e + f*x) + 6*a^2*cos(e + f*x)^2*atanh(cos(e + f*x)) - 3*a^2*cos(e + f*x)^4*atanh(cos(e + f*x)) - 2*b^2*cos(e + f*x)^2*atanh(cos(e + f*x)) + b^2*cos(e + f*x)^4*atanh(cos(e + f*x)) + 2*a*b*cos(e + f*x)^3 + 6*a*b*atanh(cos(e + f*x)) - 12*a*b*cos(e + f*x)^2*atanh(cos(e + f*x)) + 6*a*b*cos(e + f*x)^4*atanh(cos(e + f*x)))/(8*a^3*f + 8*b^3*f - 16*a^3*f*cos(e + f*x)^2 + 8*a^3*f*cos(e + f*x)^4 - 16*b^3*f*cos(e + f*x)^2 + 8*b^3*f*cos(e + f*x)^4 + 24*a*b^2*f + 24*a^2*b*f - 48*a*b^2*f*cos(e + f*x)^2 - 48*a^2*b*f*cos(e + f*x)^2 + 24*a*b^2*f*cos(e + f*x)^4 + 24*a^2*b*f*cos(e + f*x)^4)","B"
34,1,1448,166,5.706313,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atanh}\left(\frac{25\,b^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^5\,b-5\,a^4\,b^2-10\,a^3\,b^3-10\,a^2\,b^4-5\,a\,b^5-b^6}}{128\,\left(\frac{227\,a\,b^5}{128}+\frac{217\,b^6}{128}+\frac{119\,a^2\,b^4}{128}+\frac{25\,a^3\,b^3}{128}+\frac{13\,b^7}{16\,a}+\frac{5\,b^8}{32\,a^2}\right)}+\frac{11\,b^4\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^5\,b-5\,a^4\,b^2-10\,a^3\,b^3-10\,a^2\,b^4-5\,a\,b^5-b^6}}{32\,\left(\frac{217\,a\,b^6}{128}+\frac{13\,b^7}{16}+\frac{227\,a^2\,b^5}{128}+\frac{119\,a^3\,b^4}{128}+\frac{25\,a^4\,b^3}{128}+\frac{5\,b^8}{32\,a}\right)}+\frac{5\,b^5\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^5\,b-5\,a^4\,b^2-10\,a^3\,b^3-10\,a^2\,b^4-5\,a\,b^5-b^6}}{32\,\left(\frac{25\,a^5\,b^3}{128}+\frac{119\,a^4\,b^4}{128}+\frac{227\,a^3\,b^5}{128}+\frac{217\,a^2\,b^6}{128}+\frac{13\,a\,b^7}{16}+\frac{5\,b^8}{32}\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}}{a^4\,f}-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^2+14\,a\,b+8\,b^2\right)}{16\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^2+12\,a\,b+6\,b^2\right)}{6\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(11\,a^2+18\,a\,b+8\,b^2\right)}{16\,a^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{320\,a^{11}\,b^2+1216\,a^{10}\,b^3+1408\,a^9\,b^4+512\,a^8\,b^5}{256\,a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(281\,a^6\,b^3+1836\,a^5\,b^4+5140\,a^4\,b^5+7680\,a^3\,b^6+6400\,a^2\,b^7+2816\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4}-\frac{\left(\frac{\left(\frac{320\,a^{11}\,b^2+1216\,a^{10}\,b^3+1408\,a^9\,b^4+512\,a^8\,b^5}{256\,a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(281\,a^6\,b^3+1836\,a^5\,b^4+5140\,a^4\,b^5+7680\,a^3\,b^6+6400\,a^2\,b^7+2816\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4}}{\frac{55\,a^8\,b^3+585\,a^7\,b^4+2445\,a^6\,b^5+5511\,a^5\,b^6+7496\,a^4\,b^7+6380\,a^3\,b^8+3344\,a^2\,b^9+992\,a\,b^{10}+128\,b^{11}}{128\,a^9}+\frac{\left(\frac{\left(\frac{320\,a^{11}\,b^2+1216\,a^{10}\,b^3+1408\,a^9\,b^4+512\,a^8\,b^5}{256\,a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(281\,a^6\,b^3+1836\,a^5\,b^4+5140\,a^4\,b^5+7680\,a^3\,b^6+6400\,a^2\,b^7+2816\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\left(\frac{\left(\frac{320\,a^{11}\,b^2+1216\,a^{10}\,b^3+1408\,a^9\,b^4+512\,a^8\,b^5}{256\,a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(281\,a^6\,b^3+1836\,a^5\,b^4+5140\,a^4\,b^5+7680\,a^3\,b^6+6400\,a^2\,b^7+2816\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)}{32\,a^4}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,30{}\mathrm{i}+a\,b^2\,40{}\mathrm{i}+b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4\,f}","Not used",1,"(atanh((25*b^3*tan(e + f*x)*(- 5*a*b^5 - a^5*b - b^6 - 10*a^2*b^4 - 10*a^3*b^3 - 5*a^4*b^2)^(1/2))/(128*((227*a*b^5)/128 + (217*b^6)/128 + (119*a^2*b^4)/128 + (25*a^3*b^3)/128 + (13*b^7)/(16*a) + (5*b^8)/(32*a^2))) + (11*b^4*tan(e + f*x)*(- 5*a*b^5 - a^5*b - b^6 - 10*a^2*b^4 - 10*a^3*b^3 - 5*a^4*b^2)^(1/2))/(32*((217*a*b^6)/128 + (13*b^7)/16 + (227*a^2*b^5)/128 + (119*a^3*b^4)/128 + (25*a^4*b^3)/128 + (5*b^8)/(32*a))) + (5*b^5*tan(e + f*x)*(- 5*a*b^5 - a^5*b - b^6 - 10*a^2*b^4 - 10*a^3*b^3 - 5*a^4*b^2)^(1/2))/(32*((13*a*b^7)/16 + (5*b^8)/32 + (217*a^2*b^6)/128 + (227*a^3*b^5)/128 + (119*a^4*b^4)/128 + (25*a^5*b^3)/128)))*(-b*(a + b)^5)^(1/2))/(a^4*f) - (atan(((((((512*a^8*b^5 + 1408*a^9*b^4 + 1216*a^10*b^3 + 320*a^11*b^2)/(256*a^9) - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(4096*a^10))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4) - (tan(e + f*x)*(2816*a*b^8 + 512*b^9 + 6400*a^2*b^7 + 7680*a^3*b^6 + 5140*a^4*b^5 + 1836*a^5*b^4 + 281*a^6*b^3))/(128*a^6))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i)*1i)/(32*a^4) - (((((512*a^8*b^5 + 1408*a^9*b^4 + 1216*a^10*b^3 + 320*a^11*b^2)/(256*a^9) + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(4096*a^10))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4) + (tan(e + f*x)*(2816*a*b^8 + 512*b^9 + 6400*a^2*b^7 + 7680*a^3*b^6 + 5140*a^4*b^5 + 1836*a^5*b^4 + 281*a^6*b^3))/(128*a^6))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i)*1i)/(32*a^4))/((992*a*b^10 + 128*b^11 + 3344*a^2*b^9 + 6380*a^3*b^8 + 7496*a^4*b^7 + 5511*a^5*b^6 + 2445*a^6*b^5 + 585*a^7*b^4 + 55*a^8*b^3)/(128*a^9) + (((((512*a^8*b^5 + 1408*a^9*b^4 + 1216*a^10*b^3 + 320*a^11*b^2)/(256*a^9) - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(4096*a^10))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4) - (tan(e + f*x)*(2816*a*b^8 + 512*b^9 + 6400*a^2*b^7 + 7680*a^3*b^6 + 5140*a^4*b^5 + 1836*a^5*b^4 + 281*a^6*b^3))/(128*a^6))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4) + (((((512*a^8*b^5 + 1408*a^9*b^4 + 1216*a^10*b^3 + 320*a^11*b^2)/(256*a^9) + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(4096*a^10))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4) + (tan(e + f*x)*(2816*a*b^8 + 512*b^9 + 6400*a^2*b^7 + 7680*a^3*b^6 + 5140*a^4*b^5 + 1836*a^5*b^4 + 281*a^6*b^3))/(128*a^6))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i))/(32*a^4)))*(a*b^2*40i + a^2*b*30i + a^3*5i + b^3*16i)*1i)/(16*a^4*f) - ((tan(e + f*x)*(14*a*b + 5*a^2 + 8*b^2))/(16*a^3) + (tan(e + f*x)^3*(12*a*b + 5*a^2 + 6*b^2))/(6*a^3) + (tan(e + f*x)^5*(18*a*b + 11*a^2 + 8*b^2))/(16*a^3))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1))","B"
35,1,494,117,4.583108,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atanh}\left(\frac{9\,b^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b-3\,a^2\,b^2-3\,a\,b^3-b^4}}{32\,\left(\frac{13\,a\,b^4}{16}+\frac{25\,b^5}{32}+\frac{9\,a^2\,b^3}{32}+\frac{b^6}{4\,a}\right)}+\frac{b^4\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b-3\,a^2\,b^2-3\,a\,b^3-b^4}}{4\,\left(\frac{9\,a^3\,b^3}{32}+\frac{13\,a^2\,b^4}{16}+\frac{25\,a\,b^5}{32}+\frac{b^6}{4}\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}}{a^3\,f}-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,a+4\,b\right)}{8\,a^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a+4\,b\right)}{8\,a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}-\frac{\mathrm{atan}\left(\frac{159\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,a\,b^2}{256}+\frac{159\,b^3}{256}+\frac{75\,b^4}{64\,a}+\frac{29\,b^5}{32\,a^2}+\frac{b^6}{4\,a^3}\right)}+\frac{75\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{64\,\left(\frac{159\,a\,b^3}{256}+\frac{75\,b^4}{64}+\frac{27\,a^2\,b^2}{256}+\frac{29\,b^5}{32\,a}+\frac{b^6}{4\,a^2}\right)}+\frac{29\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{75\,a\,b^4}{64}+\frac{29\,b^5}{32}+\frac{159\,a^2\,b^3}{256}+\frac{27\,a^3\,b^2}{256}+\frac{b^6}{4\,a}\right)}+\frac{b^6\,\mathrm{tan}\left(e+f\,x\right)}{4\,\left(\frac{27\,a^4\,b^2}{256}+\frac{159\,a^3\,b^3}{256}+\frac{75\,a^2\,b^4}{64}+\frac{29\,a\,b^5}{32}+\frac{b^6}{4}\right)}+\frac{27\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,b^2}{256}+\frac{159\,b^3}{256\,a}+\frac{75\,b^4}{64\,a^2}+\frac{29\,b^5}{32\,a^3}+\frac{b^6}{4\,a^4}\right)}\right)\,\left(a^2\,3{}\mathrm{i}+a\,b\,12{}\mathrm{i}+b^2\,8{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3\,f}","Not used",1,"(atanh((9*b^3*tan(e + f*x)*(- 3*a*b^3 - a^3*b - b^4 - 3*a^2*b^2)^(1/2))/(32*((13*a*b^4)/16 + (25*b^5)/32 + (9*a^2*b^3)/32 + b^6/(4*a))) + (b^4*tan(e + f*x)*(- 3*a*b^3 - a^3*b - b^4 - 3*a^2*b^2)^(1/2))/(4*((25*a*b^5)/32 + b^6/4 + (13*a^2*b^4)/16 + (9*a^3*b^3)/32)))*(-b*(a + b)^3)^(1/2))/(a^3*f) - ((tan(e + f*x)*(3*a + 4*b))/(8*a^2) + (tan(e + f*x)^3*(5*a + 4*b))/(8*a^2))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1)) - (atan((159*b^3*tan(e + f*x))/(256*((27*a*b^2)/256 + (159*b^3)/256 + (75*b^4)/(64*a) + (29*b^5)/(32*a^2) + b^6/(4*a^3))) + (75*b^4*tan(e + f*x))/(64*((159*a*b^3)/256 + (75*b^4)/64 + (27*a^2*b^2)/256 + (29*b^5)/(32*a) + b^6/(4*a^2))) + (29*b^5*tan(e + f*x))/(32*((75*a*b^4)/64 + (29*b^5)/32 + (159*a^2*b^3)/256 + (27*a^3*b^2)/256 + b^6/(4*a))) + (b^6*tan(e + f*x))/(4*((29*a*b^5)/32 + b^6/4 + (75*a^2*b^4)/64 + (159*a^3*b^3)/256 + (27*a^4*b^2)/256)) + (27*b^2*tan(e + f*x))/(256*((27*b^2)/256 + (159*b^3)/(256*a) + (75*b^4)/(64*a^2) + (29*b^5)/(32*a^3) + b^6/(4*a^4))))*(a*b*12i + a^2*3i + b^2*8i)*1i)/(8*a^3*f)","B"
36,1,111,76,4.448323,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atanh}\left(\frac{\sin\left(e+f\,x\right)\,\sqrt{-b^2-a\,b}}{a\,\cos\left(e+f\,x\right)+b\,\cos\left(e+f\,x\right)}\right)\,\sqrt{-b^2-a\,b}-a\,\left(\frac{\sin\left(2\,e+2\,f\,x\right)}{4}-\frac{\mathrm{atan}\left(\frac{\sin\left(e+f\,x\right)}{\cos\left(e+f\,x\right)}\right)}{2}\right)+b\,\mathrm{atan}\left(\frac{\sin\left(e+f\,x\right)}{\cos\left(e+f\,x\right)}\right)}{a^2\,f}","Not used",1,"(atanh((sin(e + f*x)*(- a*b - b^2)^(1/2))/(a*cos(e + f*x) + b*cos(e + f*x)))*(- a*b - b^2)^(1/2) - a*(sin(2*e + 2*f*x)/4 - atan(sin(e + f*x)/cos(e + f*x))/2) + b*atan(sin(e + f*x)/cos(e + f*x)))/(a^2*f)","B"
37,1,460,45,4.562494,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2),x)","\frac{x}{a}-\frac{\mathrm{atan}\left(\frac{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}+\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}}{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}-\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(a^2+b\,a\right)}","Not used",1,"x/a - (atan((((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2) + ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2))/(((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2) - ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(f*(a*b + a^2))","B"
38,1,46,54,4.277000,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)),x)","-\frac{\mathrm{cot}\left(e+f\,x\right)}{f\,\left(a+b\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{f\,{\left(a+b\right)}^{3/2}}","Not used",1,"- cot(e + f*x)/(f*(a + b)) - (b^(1/2)*atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2)))/(f*(a + b)^(3/2))","B"
39,1,80,76,4.311090,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)),x)","-\frac{\frac{1}{3\,\left(a+b\right)}+\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(a+b\right)}^2}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}-\frac{a\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+b^2\right)}{{\left(a+b\right)}^{5/2}}\right)}{f\,{\left(a+b\right)}^{5/2}}","Not used",1,"- (1/(3*(a + b)) + (a*tan(e + f*x)^2)/(a + b)^2)/(f*tan(e + f*x)^3) - (a*b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(2*a*b + a^2 + b^2))/(a + b)^(5/2)))/(f*(a + b)^(5/2))","B"
40,1,112,105,5.050755,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)),x)","-\frac{\frac{1}{5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,a+b\right)}{3\,{\left(a+b\right)}^2}+\frac{a^2\,{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(a+b\right)}^3}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}-\frac{a^2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{{\left(a+b\right)}^{7/2}}\right)}{f\,{\left(a+b\right)}^{7/2}}","Not used",1,"- (1/(5*(a + b)) + (tan(e + f*x)^2*(2*a + b))/(3*(a + b)^2) + (a^2*tan(e + f*x)^4)/(a + b)^3)/(f*tan(e + f*x)^5) - (a^2*b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(a + b)^(7/2)))/(f*(a + b)^(7/2))","B"
41,1,195,161,0.161013,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^2,x)","\frac{{\cos\left(e+f\,x\right)}^3\,\left(\frac{2\,b}{3\,a^3}+\frac{2}{3\,a^2}\right)}{f}-\frac{{\cos\left(e+f\,x\right)}^5}{5\,a^2\,f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{1}{a^2}-\frac{b^2}{a^4}+\frac{2\,b\,\left(\frac{2\,b}{a^3}+\frac{2}{a^2}\right)}{a}\right)}{f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{a^2\,b}{2}+a\,b^2+\frac{b^3}{2}\right)}{f\,\left(a^5\,{\cos\left(e+f\,x\right)}^2+b\,a^4\right)}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,\left(a+b\right)\,\left(3\,a+7\,b\right)}{3\,a^2\,b+10\,a\,b^2+7\,b^3}\right)\,\left(a+b\right)\,\left(3\,a+7\,b\right)}{2\,a^{9/2}\,f}","Not used",1,"(cos(e + f*x)^3*((2*b)/(3*a^3) + 2/(3*a^2)))/f - cos(e + f*x)^5/(5*a^2*f) - (cos(e + f*x)*(1/a^2 - b^2/a^4 + (2*b*((2*b)/a^3 + 2/a^2))/a))/f - (cos(e + f*x)*(a*b^2 + (a^2*b)/2 + b^3/2))/(f*(a^4*b + a^5*cos(e + f*x)^2)) + (b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(a + b)*(3*a + 7*b))/(10*a*b^2 + 3*a^2*b + 7*b^3))*(a + b)*(3*a + 7*b))/(2*a^(9/2)*f)","B"
42,1,130,114,0.144665,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^2,x)","\frac{{\cos\left(e+f\,x\right)}^3}{3\,a^2\,f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{2\,b}{a^3}+\frac{1}{a^2}\right)}{f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{b^2}{2}+\frac{a\,b}{2}\right)}{f\,\left(a^4\,{\cos\left(e+f\,x\right)}^2+b\,a^3\right)}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,\left(3\,a+5\,b\right)}{5\,b^2+3\,a\,b}\right)\,\left(3\,a+5\,b\right)}{2\,a^{7/2}\,f}","Not used",1,"cos(e + f*x)^3/(3*a^2*f) - (cos(e + f*x)*((2*b)/a^3 + 1/a^2))/f - (cos(e + f*x)*((a*b)/2 + b^2/2))/(f*(a^3*b + a^4*cos(e + f*x)^2)) + (b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(3*a + 5*b))/(3*a*b + 5*b^2))*(3*a + 5*b))/(2*a^(7/2)*f)","B"
43,1,72,84,4.560513,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2)^2,x)","\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\cos\left(e+f\,x\right)}{\sqrt{b}}\right)}{2\,a^{5/2}\,f}-\frac{b\,\cos\left(e+f\,x\right)}{2\,f\,\left(a^3\,{\cos\left(e+f\,x\right)}^2+b\,a^2\right)}-\frac{\cos\left(e+f\,x\right)}{a^2\,f}","Not used",1,"(3*b^(1/2)*atan((a^(1/2)*cos(e + f*x))/b^(1/2)))/(2*a^(5/2)*f) - (b*cos(e + f*x))/(2*f*(a^2*b + a^3*cos(e + f*x)^2)) - cos(e + f*x)/(a^2*f)","B"
44,1,2188,99,5.945019,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^2),x)","-\frac{b\,\cos\left(e+f\,x\right)}{2\,a\,f\,\left(a+b\right)\,\left(a\,{\cos\left(e+f\,x\right)}^2+b\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\frac{\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{2\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}-\frac{\cos\left(e+f\,x\right)\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,{\left(a+b\right)}^2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a+b\right)}^2}+\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)\,1{}\mathrm{i}}{4\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{{\left(a+b\right)}^2}-\frac{\frac{\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{2\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}+\frac{\cos\left(e+f\,x\right)\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,{\left(a+b\right)}^2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a+b\right)}^2}-\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)\,1{}\mathrm{i}}{4\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{{\left(a+b\right)}^2}}{\frac{\frac{\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{2\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}-\frac{\cos\left(e+f\,x\right)\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,{\left(a+b\right)}^2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{2\,{\left(a+b\right)}^2}+\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{4\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{{\left(a+b\right)}^2}-\frac{3\,a^2\,b+\frac{5\,a\,b^2}{2}+\frac{b^3}{2}}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}+\frac{\frac{\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{2\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}+\frac{\cos\left(e+f\,x\right)\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,{\left(a+b\right)}^2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{2\,{\left(a+b\right)}^2}-\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{4\,\left(a^3+2\,a^2\,b+a\,b^2\right)}}{{\left(a+b\right)}^2}}\right)\,1{}\mathrm{i}}{f\,{\left(a+b\right)}^2}+\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}+\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}-\frac{\cos\left(e+f\,x\right)\,\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}+\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}-\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}+\frac{\cos\left(e+f\,x\right)\,\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{\frac{3\,a^2\,b+\frac{5\,a\,b^2}{2}+\frac{b^3}{2}}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}-\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}+\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}-\frac{\cos\left(e+f\,x\right)\,\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}+\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(4\,a^4+9\,a^2\,b^2+6\,a\,b^3+b^4\right)}{2\,\left(a^3+2\,a^2\,b+a\,b^2\right)}-\frac{\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(\frac{2\,a^6\,b+8\,a^5\,b^2+12\,a^4\,b^3+8\,a^3\,b^4+2\,a^2\,b^5}{a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3}+\frac{\cos\left(e+f\,x\right)\,\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,\left(16\,a^8+48\,a^7\,b+32\,a^6\,b^2-32\,a^5\,b^3-48\,a^4\,b^4-16\,a^3\,b^5\right)}{8\,\left(a^3+2\,a^2\,b+a\,b^2\right)\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)}{4\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}\right)\,\left(3\,a+b\right)\,\sqrt{-a^3\,b}\,1{}\mathrm{i}}{2\,f\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}","Not used",1,"(atan((((3*a + b)*(-a^3*b)^(1/2)*((cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(2*(a*b^2 + 2*a^2*b + a^3)) + ((3*a + b)*(-a^3*b)^(1/2)*((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) - (cos(e + f*x)*(3*a + b)*(-a^3*b)^(1/2)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a*b^2 + 2*a^2*b + a^3)*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2)))*1i)/(4*(2*a^4*b + a^5 + a^3*b^2)) + ((3*a + b)*(-a^3*b)^(1/2)*((cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(2*(a*b^2 + 2*a^2*b + a^3)) - ((3*a + b)*(-a^3*b)^(1/2)*((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) + (cos(e + f*x)*(3*a + b)*(-a^3*b)^(1/2)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a*b^2 + 2*a^2*b + a^3)*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2)))*1i)/(4*(2*a^4*b + a^5 + a^3*b^2)))/(((5*a*b^2)/2 + 3*a^2*b + b^3/2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) - ((3*a + b)*(-a^3*b)^(1/2)*((cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(2*(a*b^2 + 2*a^2*b + a^3)) + ((3*a + b)*(-a^3*b)^(1/2)*((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) - (cos(e + f*x)*(3*a + b)*(-a^3*b)^(1/2)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a*b^2 + 2*a^2*b + a^3)*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2)) + ((3*a + b)*(-a^3*b)^(1/2)*((cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(2*(a*b^2 + 2*a^2*b + a^3)) - ((3*a + b)*(-a^3*b)^(1/2)*((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) + (cos(e + f*x)*(3*a + b)*(-a^3*b)^(1/2)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a*b^2 + 2*a^2*b + a^3)*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2))))/(4*(2*a^4*b + a^5 + a^3*b^2))))*(3*a + b)*(-a^3*b)^(1/2)*1i)/(2*f*(2*a^4*b + a^5 + a^3*b^2)) - (atan((((((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(2*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) - (cos(e + f*x)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a + b)^2*(a*b^2 + 2*a^2*b + a^3)))*1i)/(2*(a + b)^2) + (cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2)*1i)/(4*(a*b^2 + 2*a^2*b + a^3)))/(a + b)^2 - ((((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(2*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) + (cos(e + f*x)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a + b)^2*(a*b^2 + 2*a^2*b + a^3)))*1i)/(2*(a + b)^2) - (cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2)*1i)/(4*(a*b^2 + 2*a^2*b + a^3)))/(a + b)^2)/((((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(2*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) - (cos(e + f*x)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a + b)^2*(a*b^2 + 2*a^2*b + a^3)))/(2*(a + b)^2) + (cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(4*(a*b^2 + 2*a^2*b + a^3)))/(a + b)^2 - ((5*a*b^2)/2 + 3*a^2*b + b^3/2)/(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2) + (((2*a^6*b + 2*a^2*b^5 + 8*a^3*b^4 + 12*a^4*b^3 + 8*a^5*b^2)/(2*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) + (cos(e + f*x)*(48*a^7*b + 16*a^8 - 16*a^3*b^5 - 48*a^4*b^4 - 32*a^5*b^3 + 32*a^6*b^2))/(8*(a + b)^2*(a*b^2 + 2*a^2*b + a^3)))/(2*(a + b)^2) - (cos(e + f*x)*(6*a*b^3 + 4*a^4 + b^4 + 9*a^2*b^2))/(4*(a*b^2 + 2*a^2*b + a^3)))/(a + b)^2))*1i)/(f*(a + b)^2) - (b*cos(e + f*x))/(2*a*f*(a + b)*(b + a*cos(e + f*x)^2))","B"
45,1,1845,147,5.646054,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^2),x)","-\frac{\frac{{\cos\left(e+f\,x\right)}^3\,\left(a-b\right)}{2\,\left(a^2+2\,a\,b+b^2\right)}+\frac{b\,\cos\left(e+f\,x\right)}{a^2+2\,a\,b+b^2}}{f\,\left(-a\,{\cos\left(e+f\,x\right)}^4+\left(a-b\right)\,{\cos\left(e+f\,x\right)}^2+b\right)}-\frac{\ln\left(\cos\left(e+f\,x\right)-1\right)\,\left(\frac{b}{{\left(a+b\right)}^3}-\frac{1}{4\,{\left(a+b\right)}^2}\right)}{f}-\frac{\ln\left(\cos\left(e+f\,x\right)+1\right)\,\left(a-3\,b\right)}{4\,f\,{\left(a+b\right)}^3}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(a^5-6\,a^4\,b+18\,a^3\,b^2-6\,a^2\,b^3+a\,b^4\right)}{2\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{4\,a^8\,b+24\,a^7\,b^2+60\,a^6\,b^3+80\,a^5\,b^4+60\,a^4\,b^5+24\,a^3\,b^6+4\,a^2\,b^7}{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(3\,a-b\right)\,\left(16\,a^9+80\,a^8\,b+144\,a^7\,b^2+80\,a^6\,b^3-80\,a^5\,b^4-144\,a^4\,b^5-80\,a^3\,b^6-16\,a^2\,b^7\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}\right)\,\left(3\,a-b\right)\,1{}\mathrm{i}}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(a^5-6\,a^4\,b+18\,a^3\,b^2-6\,a^2\,b^3+a\,b^4\right)}{2\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}-\frac{\sqrt{-a\,b}\,\left(\frac{4\,a^8\,b+24\,a^7\,b^2+60\,a^6\,b^3+80\,a^5\,b^4+60\,a^4\,b^5+24\,a^3\,b^6+4\,a^2\,b^7}{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(3\,a-b\right)\,\left(16\,a^9+80\,a^8\,b+144\,a^7\,b^2+80\,a^6\,b^3-80\,a^5\,b^4-144\,a^4\,b^5-80\,a^3\,b^6-16\,a^2\,b^7\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}\right)\,\left(3\,a-b\right)\,1{}\mathrm{i}}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}}{\frac{-\frac{3\,a^4\,b}{4}+\frac{13\,a^3\,b^2}{4}-\frac{13\,a^2\,b^3}{4}+\frac{3\,a\,b^4}{4}}{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}+\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(a^5-6\,a^4\,b+18\,a^3\,b^2-6\,a^2\,b^3+a\,b^4\right)}{2\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{4\,a^8\,b+24\,a^7\,b^2+60\,a^6\,b^3+80\,a^5\,b^4+60\,a^4\,b^5+24\,a^3\,b^6+4\,a^2\,b^7}{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(3\,a-b\right)\,\left(16\,a^9+80\,a^8\,b+144\,a^7\,b^2+80\,a^6\,b^3-80\,a^5\,b^4-144\,a^4\,b^5-80\,a^3\,b^6-16\,a^2\,b^7\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}-\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(a^5-6\,a^4\,b+18\,a^3\,b^2-6\,a^2\,b^3+a\,b^4\right)}{2\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}-\frac{\sqrt{-a\,b}\,\left(\frac{4\,a^8\,b+24\,a^7\,b^2+60\,a^6\,b^3+80\,a^5\,b^4+60\,a^4\,b^5+24\,a^3\,b^6+4\,a^2\,b^7}{a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(3\,a-b\right)\,\left(16\,a^9+80\,a^8\,b+144\,a^7\,b^2+80\,a^6\,b^3-80\,a^5\,b^4-144\,a^4\,b^5-80\,a^3\,b^6-16\,a^2\,b^7\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}\right)\,\left(3\,a-b\right)}{4\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}}\right)\,\sqrt{-a\,b}\,\left(3\,a-b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}","Not used",1,"- ((cos(e + f*x)^3*(a - b))/(2*(2*a*b + a^2 + b^2)) + (b*cos(e + f*x))/(2*a*b + a^2 + b^2))/(f*(b - a*cos(e + f*x)^4 + cos(e + f*x)^2*(a - b))) - (log(cos(e + f*x) - 1)*(b/(a + b)^3 - 1/(4*(a + b)^2)))/f - (log(cos(e + f*x) + 1)*(a - 3*b))/(4*f*(a + b)^3) - (atan((((-a*b)^(1/2)*((cos(e + f*x)*(a*b^4 - 6*a^4*b + a^5 - 6*a^2*b^3 + 18*a^3*b^2))/(2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + ((-a*b)^(1/2)*((4*a^8*b + 4*a^2*b^7 + 24*a^3*b^6 + 60*a^4*b^5 + 80*a^5*b^4 + 60*a^6*b^3 + 24*a^7*b^2)/(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2) - (cos(e + f*x)*(-a*b)^(1/2)*(3*a - b)*(80*a^8*b + 16*a^9 - 16*a^2*b^7 - 80*a^3*b^6 - 144*a^4*b^5 - 80*a^5*b^4 + 80*a^6*b^3 + 144*a^7*b^2))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))*(3*a - b)*1i)/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) + ((-a*b)^(1/2)*((cos(e + f*x)*(a*b^4 - 6*a^4*b + a^5 - 6*a^2*b^3 + 18*a^3*b^2))/(2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) - ((-a*b)^(1/2)*((4*a^8*b + 4*a^2*b^7 + 24*a^3*b^6 + 60*a^4*b^5 + 80*a^5*b^4 + 60*a^6*b^3 + 24*a^7*b^2)/(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2) + (cos(e + f*x)*(-a*b)^(1/2)*(3*a - b)*(80*a^8*b + 16*a^9 - 16*a^2*b^7 - 80*a^3*b^6 - 144*a^4*b^5 - 80*a^5*b^4 + 80*a^6*b^3 + 144*a^7*b^2))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))*(3*a - b)*1i)/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))/(((3*a*b^4)/4 - (3*a^4*b)/4 - (13*a^2*b^3)/4 + (13*a^3*b^2)/4)/(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2) + ((-a*b)^(1/2)*((cos(e + f*x)*(a*b^4 - 6*a^4*b + a^5 - 6*a^2*b^3 + 18*a^3*b^2))/(2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + ((-a*b)^(1/2)*((4*a^8*b + 4*a^2*b^7 + 24*a^3*b^6 + 60*a^4*b^5 + 80*a^5*b^4 + 60*a^6*b^3 + 24*a^7*b^2)/(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2) - (cos(e + f*x)*(-a*b)^(1/2)*(3*a - b)*(80*a^8*b + 16*a^9 - 16*a^2*b^7 - 80*a^3*b^6 - 144*a^4*b^5 - 80*a^5*b^4 + 80*a^6*b^3 + 144*a^7*b^2))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) - ((-a*b)^(1/2)*((cos(e + f*x)*(a*b^4 - 6*a^4*b + a^5 - 6*a^2*b^3 + 18*a^3*b^2))/(2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) - ((-a*b)^(1/2)*((4*a^8*b + 4*a^2*b^7 + 24*a^3*b^6 + 60*a^4*b^5 + 80*a^5*b^4 + 60*a^6*b^3 + 24*a^7*b^2)/(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2) + (cos(e + f*x)*(-a*b)^(1/2)*(3*a - b)*(80*a^8*b + 16*a^9 - 16*a^2*b^7 - 80*a^3*b^6 - 144*a^4*b^5 - 80*a^5*b^4 + 80*a^6*b^3 + 144*a^7*b^2))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))*(3*a - b))/(4*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2))))*(-a*b)^(1/2)*(3*a - b)*1i)/(2*f*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2))","B"
46,1,4338,197,9.326199,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^2),x)","-\frac{\mathrm{atan}\left(\frac{\left(\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)+\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,1{}\mathrm{i}-\left(\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}+\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)-\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,1{}\mathrm{i}}{\left(\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)+\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)-\frac{\frac{27\,a^7\,b}{64}-\frac{135\,a^6\,b^2}{32}+\frac{189\,a^5\,b^3}{16}-\frac{297\,a^4\,b^4}{32}+\frac{81\,a^3\,b^5}{64}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}+\left(\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}+\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)-\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^2}-\frac{3\,b}{2\,{\left(a+b\right)}^3}+\frac{3\,b^2}{2\,{\left(a+b\right)}^4}\right)}\right)\,\left(-\frac{b\,3{}\mathrm{i}}{{\left(a+b\right)}^3}+\frac{3{}\mathrm{i}}{8\,{\left(a+b\right)}^2}+\frac{b^2\,3{}\mathrm{i}}{{\left(a+b\right)}^4}\right)}{f}-\frac{\frac{3\,{\cos\left(e+f\,x\right)}^5\,\left(3\,a\,b-a^2\right)}{8\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{3\,b\,\cos\left(e+f\,x\right)\,\left(3\,a-b\right)}{8\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{{\cos\left(e+f\,x\right)}^3\,\left(5\,a^2-14\,a\,b+5\,b^2\right)}{8\,\left(a+b\right)\,\left(a^2+2\,a\,b+b^2\right)}}{f\,\left(a\,{\cos\left(e+f\,x\right)}^6+\left(b-2\,a\right)\,{\cos\left(e+f\,x\right)}^4+\left(a-2\,b\right)\,{\cos\left(e+f\,x\right)}^2+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}+\frac{3\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}-\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{128\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(a-b\right)\,3{}\mathrm{i}}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}-\frac{3\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}+\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{128\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(a-b\right)\,3{}\mathrm{i}}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}}{\frac{\frac{27\,a^7\,b}{64}-\frac{135\,a^6\,b^2}{32}+\frac{189\,a^5\,b^3}{16}-\frac{297\,a^4\,b^4}{32}+\frac{81\,a^3\,b^5}{64}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}-\frac{3\,\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}+\frac{3\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}-\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{128\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(a-b\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{3\,\sqrt{-a\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-108\,a^6\,b+486\,a^5\,b^2-396\,a^4\,b^3+153\,a^3\,b^4\right)}{32\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}-\frac{3\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(\frac{\frac{9\,a^{11}\,b}{2}+\frac{69\,a^{10}\,b^2}{2}+114\,a^9\,b^3+210\,a^8\,b^4+231\,a^7\,b^5+147\,a^6\,b^6+42\,a^5\,b^7-6\,a^4\,b^8-\frac{15\,a^3\,b^9}{2}-\frac{3\,a^2\,b^{10}}{2}}{a^9+9\,a^8\,b+36\,a^7\,b^2+84\,a^6\,b^3+126\,a^5\,b^4+126\,a^4\,b^5+84\,a^3\,b^6+36\,a^2\,b^7+9\,a\,b^8+b^9}+\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(a-b\right)\,\left(256\,a^{11}+1792\,a^{10}\,b+5120\,a^9\,b^2+7168\,a^8\,b^3+3584\,a^7\,b^4-3584\,a^6\,b^5-7168\,a^5\,b^6-5120\,a^4\,b^7-1792\,a^3\,b^8-256\,a^2\,b^9\right)}{128\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+b^6\right)}\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}\right)\,\left(a-b\right)}{4\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}}\right)\,\sqrt{-a\,b}\,\left(a-b\right)\,3{}\mathrm{i}}{2\,f\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}","Not used",1,"(atan((((-a*b)^(1/2)*((cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)) + (3*(-a*b)^(1/2)*(a - b)*(((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) - (3*cos(e + f*x)*(-a*b)^(1/2)*(a - b)*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(128*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(a - b)*3i)/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + ((-a*b)^(1/2)*((cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)) - (3*(-a*b)^(1/2)*(a - b)*(((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) + (3*cos(e + f*x)*(-a*b)^(1/2)*(a - b)*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(128*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(a - b)*3i)/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))/(((27*a^7*b)/64 + (81*a^3*b^5)/64 - (297*a^4*b^4)/32 + (189*a^5*b^3)/16 - (135*a^6*b^2)/32)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) - (3*(-a*b)^(1/2)*((cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)) + (3*(-a*b)^(1/2)*(a - b)*(((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) - (3*cos(e + f*x)*(-a*b)^(1/2)*(a - b)*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(128*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(a - b))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + (3*(-a*b)^(1/2)*((cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)) - (3*(-a*b)^(1/2)*(a - b)*(((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) + (3*cos(e + f*x)*(-a*b)^(1/2)*(a - b)*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(128*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))*(a - b))/(4*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2))))*(-a*b)^(1/2)*(a - b)*3i)/(2*f*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) - ((3*cos(e + f*x)^5*(3*a*b - a^2))/(8*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (3*b*cos(e + f*x)*(3*a - b))/(8*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (cos(e + f*x)^3*(5*a^2 - 14*a*b + 5*b^2))/(8*(a + b)*(2*a*b + a^2 + b^2)))/(f*(b - cos(e + f*x)^4*(2*a - b) + a*cos(e + f*x)^6 + cos(e + f*x)^2*(a - 2*b))) - (atan((((((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) - (cos(e + f*x)*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4)) + (cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*1i - ((((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) + (cos(e + f*x)*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4)) - (cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*1i)/(((((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) - (cos(e + f*x)*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4)) + (cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4)) - ((27*a^7*b)/64 + (81*a^3*b^5)/64 - (297*a^4*b^4)/32 + (189*a^5*b^3)/16 - (135*a^6*b^2)/32)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) + ((((9*a^11*b)/2 - (3*a^2*b^10)/2 - (15*a^3*b^9)/2 - 6*a^4*b^8 + 42*a^5*b^7 + 147*a^6*b^6 + 231*a^7*b^5 + 210*a^8*b^4 + 114*a^9*b^3 + (69*a^10*b^2)/2)/(9*a*b^8 + 9*a^8*b + a^9 + b^9 + 36*a^2*b^7 + 84*a^3*b^6 + 126*a^4*b^5 + 126*a^5*b^4 + 84*a^6*b^3 + 36*a^7*b^2) + (cos(e + f*x)*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))*(1792*a^10*b + 256*a^11 - 256*a^2*b^9 - 1792*a^3*b^8 - 5120*a^4*b^7 - 7168*a^5*b^6 - 3584*a^6*b^5 + 3584*a^7*b^4 + 7168*a^8*b^3 + 5120*a^9*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4)) - (cos(e + f*x)*(9*a^7 - 108*a^6*b + 153*a^3*b^4 - 396*a^4*b^3 + 486*a^5*b^2))/(32*(6*a*b^5 + 6*a^5*b + a^6 + b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2)))*(3/(16*(a + b)^2) - (3*b)/(2*(a + b)^3) + (3*b^2)/(2*(a + b)^4))))*(3i/(8*(a + b)^2) - (b*3i)/(a + b)^3 + (b^2*3i)/(a + b)^4))/f","B"
47,1,1461,267,6.657636,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atanh}\left(\frac{75\,b^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b-3\,a^2\,b^2-3\,a\,b^3-b^4}}{256\,\left(\frac{211\,a\,b^4}{128}+\frac{811\,b^5}{256}+\frac{75\,a^2\,b^3}{256}+\frac{41\,b^6}{16\,a}+\frac{3\,b^7}{4\,a^2}\right)}+\frac{17\,b^4\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b-3\,a^2\,b^2-3\,a\,b^3-b^4}}{16\,\left(\frac{811\,a\,b^5}{256}+\frac{41\,b^6}{16}+\frac{211\,a^2\,b^4}{128}+\frac{75\,a^3\,b^3}{256}+\frac{3\,b^7}{4\,a}\right)}+\frac{3\,b^5\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b-3\,a^2\,b^2-3\,a\,b^3-b^4}}{4\,\left(\frac{75\,a^4\,b^3}{256}+\frac{211\,a^3\,b^4}{128}+\frac{811\,a^2\,b^5}{256}+\frac{41\,a\,b^6}{16}+\frac{3\,b^7}{4}\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+8\,b\right)}{2\,a^5\,f}-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^3+41\,a^2\,b+68\,a\,b^2+32\,b^3\right)}{16\,a^4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(33\,a^3+253\,a^2\,b+516\,a\,b^2+288\,b^3\right)}{48\,a^4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(40\,a^3+319\,a^2\,b+564\,a\,b^2+288\,b^3\right)}{48\,a^4}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(19\,a^2+52\,a\,b+32\,b^2\right)}{16\,a^4}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^8+\left(a+4\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^6+\left(3\,a+6\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(3\,a+4\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{\frac{5\,a^{13}\,b^2}{4}+\frac{41\,a^{12}\,b^3}{4}+17\,a^{11}\,b^4+8\,a^{10}\,b^5}{a^{12}}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{11}\,b^2+2048\,a^{10}\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{4096\,a^{13}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(601\,a^6\,b^3+5976\,a^5\,b^4+24640\,a^4\,b^5+52160\,a^3\,b^6+59520\,a^2\,b^7+34816\,a\,b^8+8192\,b^9\right)}{128\,a^8}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^5}-\frac{\left(\frac{\left(\frac{\frac{5\,a^{13}\,b^2}{4}+\frac{41\,a^{12}\,b^3}{4}+17\,a^{11}\,b^4+8\,a^{10}\,b^5}{a^{12}}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{11}\,b^2+2048\,a^{10}\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{4096\,a^{13}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(601\,a^6\,b^3+5976\,a^5\,b^4+24640\,a^4\,b^5+52160\,a^3\,b^6+59520\,a^2\,b^7+34816\,a\,b^8+8192\,b^9\right)}{128\,a^8}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^5}}{\frac{\frac{285\,a^8\,b^3}{256}+\frac{2765\,a^7\,b^4}{128}+\frac{38085\,a^6\,b^5}{256}+\frac{8333\,a^5\,b^6}{16}+\frac{33701\,a^4\,b^7}{32}+\frac{10285\,a^3\,b^8}{8}+937\,a^2\,b^9+376\,a\,b^{10}+64\,b^{11}}{a^{12}}+\frac{\left(\frac{\left(\frac{\frac{5\,a^{13}\,b^2}{4}+\frac{41\,a^{12}\,b^3}{4}+17\,a^{11}\,b^4+8\,a^{10}\,b^5}{a^{12}}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{11}\,b^2+2048\,a^{10}\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{4096\,a^{13}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(601\,a^6\,b^3+5976\,a^5\,b^4+24640\,a^4\,b^5+52160\,a^3\,b^6+59520\,a^2\,b^7+34816\,a\,b^8+8192\,b^9\right)}{128\,a^8}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\left(\frac{\left(\frac{\frac{5\,a^{13}\,b^2}{4}+\frac{41\,a^{12}\,b^3}{4}+17\,a^{11}\,b^4+8\,a^{10}\,b^5}{a^{12}}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{11}\,b^2+2048\,a^{10}\,b^3\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{4096\,a^{13}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(601\,a^6\,b^3+5976\,a^5\,b^4+24640\,a^4\,b^5+52160\,a^3\,b^6+59520\,a^2\,b^7+34816\,a\,b^8+8192\,b^9\right)}{128\,a^8}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)}{32\,a^5}}\right)\,\left(a^3\,5{}\mathrm{i}+a^2\,b\,60{}\mathrm{i}+a\,b^2\,120{}\mathrm{i}+b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^5\,f}","Not used",1,"(atanh((75*b^3*tan(e + f*x)*(- 3*a*b^3 - a^3*b - b^4 - 3*a^2*b^2)^(1/2))/(256*((211*a*b^4)/128 + (811*b^5)/256 + (75*a^2*b^3)/256 + (41*b^6)/(16*a) + (3*b^7)/(4*a^2))) + (17*b^4*tan(e + f*x)*(- 3*a*b^3 - a^3*b - b^4 - 3*a^2*b^2)^(1/2))/(16*((811*a*b^5)/256 + (41*b^6)/16 + (211*a^2*b^4)/128 + (75*a^3*b^3)/256 + (3*b^7)/(4*a))) + (3*b^5*tan(e + f*x)*(- 3*a*b^3 - a^3*b - b^4 - 3*a^2*b^2)^(1/2))/(4*((41*a*b^6)/16 + (3*b^7)/4 + (811*a^2*b^5)/256 + (211*a^3*b^4)/128 + (75*a^4*b^3)/256)))*(-b*(a + b)^3)^(1/2)*(3*a + 8*b))/(2*a^5*f) - (atan(((((((8*a^10*b^5 + 17*a^11*b^4 + (41*a^12*b^3)/4 + (5*a^13*b^2)/4)/a^12 - (tan(e + f*x)*(2048*a^10*b^3 + 1024*a^11*b^2)*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(4096*a^13))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5) - (tan(e + f*x)*(34816*a*b^8 + 8192*b^9 + 59520*a^2*b^7 + 52160*a^3*b^6 + 24640*a^4*b^5 + 5976*a^5*b^4 + 601*a^6*b^3))/(128*a^8))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i)*1i)/(32*a^5) - (((((8*a^10*b^5 + 17*a^11*b^4 + (41*a^12*b^3)/4 + (5*a^13*b^2)/4)/a^12 + (tan(e + f*x)*(2048*a^10*b^3 + 1024*a^11*b^2)*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(4096*a^13))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5) + (tan(e + f*x)*(34816*a*b^8 + 8192*b^9 + 59520*a^2*b^7 + 52160*a^3*b^6 + 24640*a^4*b^5 + 5976*a^5*b^4 + 601*a^6*b^3))/(128*a^8))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i)*1i)/(32*a^5))/((376*a*b^10 + 64*b^11 + 937*a^2*b^9 + (10285*a^3*b^8)/8 + (33701*a^4*b^7)/32 + (8333*a^5*b^6)/16 + (38085*a^6*b^5)/256 + (2765*a^7*b^4)/128 + (285*a^8*b^3)/256)/a^12 + (((((8*a^10*b^5 + 17*a^11*b^4 + (41*a^12*b^3)/4 + (5*a^13*b^2)/4)/a^12 - (tan(e + f*x)*(2048*a^10*b^3 + 1024*a^11*b^2)*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(4096*a^13))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5) - (tan(e + f*x)*(34816*a*b^8 + 8192*b^9 + 59520*a^2*b^7 + 52160*a^3*b^6 + 24640*a^4*b^5 + 5976*a^5*b^4 + 601*a^6*b^3))/(128*a^8))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5) + (((((8*a^10*b^5 + 17*a^11*b^4 + (41*a^12*b^3)/4 + (5*a^13*b^2)/4)/a^12 + (tan(e + f*x)*(2048*a^10*b^3 + 1024*a^11*b^2)*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(4096*a^13))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5) + (tan(e + f*x)*(34816*a*b^8 + 8192*b^9 + 59520*a^2*b^7 + 52160*a^3*b^6 + 24640*a^4*b^5 + 5976*a^5*b^4 + 601*a^6*b^3))/(128*a^8))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i))/(32*a^5)))*(a*b^2*120i + a^2*b*60i + a^3*5i + b^3*64i)*1i)/(16*a^5*f) - ((tan(e + f*x)*(68*a*b^2 + 41*a^2*b + 5*a^3 + 32*b^3))/(16*a^4) + (tan(e + f*x)^5*(516*a*b^2 + 253*a^2*b + 33*a^3 + 288*b^3))/(48*a^4) + (tan(e + f*x)^3*(564*a*b^2 + 319*a^2*b + 40*a^3 + 288*b^3))/(48*a^4) + (b*tan(e + f*x)^7*(52*a*b + 19*a^2 + 32*b^2))/(16*a^4))/(f*(a + b + tan(e + f*x)^2*(3*a + 4*b) + tan(e + f*x)^4*(3*a + 6*b) + b*tan(e + f*x)^8 + tan(e + f*x)^6*(a + 4*b)))","B"
48,1,435,191,5.767341,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^2,x)","\frac{3\,\mathrm{atanh}\left(\frac{27\,b^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^2-a\,b}}{64\,\left(\frac{27\,a\,b^3}{64}+\frac{81\,b^4}{64}+\frac{27\,b^5}{32\,a}\right)}+\frac{27\,b^4\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^2-a\,b}}{32\,\left(\frac{27\,a^2\,b^3}{64}+\frac{81\,a\,b^4}{64}+\frac{27\,b^5}{32}\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,a^4\,f}-\frac{\frac{3\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(4\,b^2+3\,a\,b\right)}{8\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^2+24\,a\,b+24\,b^2\right)}{8\,a^3}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+5\,a\,b+4\,b^2\right)}{8\,a^3}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^6+\left(a+3\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(2\,a+3\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(\frac{27\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,b^2}{256}+\frac{243\,b^3}{256\,a}+\frac{27\,b^4}{16\,a^2}+\frac{27\,b^5}{32\,a^3}\right)}+\frac{243\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,a\,b^2}{256}+\frac{243\,b^3}{256}+\frac{27\,b^4}{16\,a}+\frac{27\,b^5}{32\,a^2}\right)}+\frac{27\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{16\,\left(\frac{243\,a\,b^3}{256}+\frac{27\,b^4}{16}+\frac{27\,a^2\,b^2}{256}+\frac{27\,b^5}{32\,a}\right)}+\frac{27\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{27\,a^3\,b^2}{256}+\frac{243\,a^2\,b^3}{256}+\frac{27\,a\,b^4}{16}+\frac{27\,b^5}{32}\right)}\right)\,\left(a^2\,1{}\mathrm{i}+a\,b\,8{}\mathrm{i}+b^2\,8{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a^4\,f}","Not used",1,"(3*atanh((27*b^3*tan(e + f*x)*(- a*b - b^2)^(1/2))/(64*((27*a*b^3)/64 + (81*b^4)/64 + (27*b^5)/(32*a))) + (27*b^4*tan(e + f*x)*(- a*b - b^2)^(1/2))/(32*((81*a*b^4)/64 + (27*b^5)/32 + (27*a^2*b^3)/64)))*(a + 2*b)*(-b*(a + b))^(1/2))/(2*a^4*f) - (atan((27*b^2*tan(e + f*x))/(256*((27*b^2)/256 + (243*b^3)/(256*a) + (27*b^4)/(16*a^2) + (27*b^5)/(32*a^3))) + (243*b^3*tan(e + f*x))/(256*((27*a*b^2)/256 + (243*b^3)/256 + (27*b^4)/(16*a) + (27*b^5)/(32*a^2))) + (27*b^4*tan(e + f*x))/(16*((243*a*b^3)/256 + (27*b^4)/16 + (27*a^2*b^2)/256 + (27*b^5)/(32*a))) + (27*b^5*tan(e + f*x))/(32*((27*a*b^4)/16 + (27*b^5)/32 + (243*a^2*b^3)/256 + (27*a^3*b^2)/256)))*(a*b*8i + a^2*1i + b^2*8i)*3i)/(8*a^4*f) - ((3*tan(e + f*x)^5*(3*a*b + 4*b^2))/(8*a^3) + (tan(e + f*x)^3*(24*a*b + 5*a^2 + 24*b^2))/(8*a^3) + (3*tan(e + f*x)*(5*a*b + a^2 + 4*b^2))/(8*a^3))/(f*(a + b + tan(e + f*x)^2*(2*a + 3*b) + b*tan(e + f*x)^6 + tan(e + f*x)^4*(a + 3*b)))","B"
49,1,816,130,5.209148,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^2,x)","-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+2\,b\right)}{2\,a^2}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3}{a^2}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(a+2\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(\frac{b^2\,\mathrm{tan}\left(e+f\,x\right)}{4\,\left(\frac{b^2}{4}+\frac{b^3}{a}\right)}+\frac{b^3\,\mathrm{tan}\left(e+f\,x\right)}{b^3+\frac{a\,b^2}{4}}\right)\,\left(a\,1{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^3\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^2\,b^3+16\,a\,b^4+16\,b^5\right)}{a^4}+\frac{\left(\frac{2\,a^7\,b^2+4\,a^6\,b^3}{a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^7\,b^2+16\,a^6\,b^3\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4\,\left(a^4+b\,a^3\right)}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^4+b\,a^3}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^2\,b^3+16\,a\,b^4+16\,b^5\right)}{a^4}-\frac{\left(\frac{2\,a^7\,b^2+4\,a^6\,b^3}{a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^7\,b^2+16\,a^6\,b^3\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4\,\left(a^4+b\,a^3\right)}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^4+b\,a^3}}{\frac{\frac{3\,a^2\,b^3}{2}+8\,a\,b^4+8\,b^5}{a^6}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^2\,b^3+16\,a\,b^4+16\,b^5\right)}{a^4}+\frac{\left(\frac{2\,a^7\,b^2+4\,a^6\,b^3}{a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^7\,b^2+16\,a^6\,b^3\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4\,\left(a^4+b\,a^3\right)}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a^2\,b^3+16\,a\,b^4+16\,b^5\right)}{a^4}-\frac{\left(\frac{2\,a^7\,b^2+4\,a^6\,b^3}{a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^7\,b^2+16\,a^6\,b^3\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4\,\left(a^4+b\,a^3\right)}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}}{a^4+b\,a^3}}\right)\,\left(\frac{3\,a}{4}+b\right)\,\sqrt{-b\,\left(a+b\right)}\,2{}\mathrm{i}}{f\,\left(a^4+b\,a^3\right)}","Not used",1,"(atan(((((tan(e + f*x)*(16*a*b^4 + 16*b^5 + 5*a^2*b^3))/a^4 + (((4*a^6*b^3 + 2*a^7*b^2)/a^6 + (tan(e + f*x)*(16*a^6*b^3 + 8*a^7*b^2)*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^4*(a^3*b + a^4)))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4))*((3*a)/4 + b)*(-b*(a + b))^(1/2)*1i)/(a^3*b + a^4) + (((tan(e + f*x)*(16*a*b^4 + 16*b^5 + 5*a^2*b^3))/a^4 - (((4*a^6*b^3 + 2*a^7*b^2)/a^6 - (tan(e + f*x)*(16*a^6*b^3 + 8*a^7*b^2)*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^4*(a^3*b + a^4)))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4))*((3*a)/4 + b)*(-b*(a + b))^(1/2)*1i)/(a^3*b + a^4))/((8*a*b^4 + 8*b^5 + (3*a^2*b^3)/2)/a^6 + (((tan(e + f*x)*(16*a*b^4 + 16*b^5 + 5*a^2*b^3))/a^4 + (((4*a^6*b^3 + 2*a^7*b^2)/a^6 + (tan(e + f*x)*(16*a^6*b^3 + 8*a^7*b^2)*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^4*(a^3*b + a^4)))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4) - (((tan(e + f*x)*(16*a*b^4 + 16*b^5 + 5*a^2*b^3))/a^4 - (((4*a^6*b^3 + 2*a^7*b^2)/a^6 - (tan(e + f*x)*(16*a^6*b^3 + 8*a^7*b^2)*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^4*(a^3*b + a^4)))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4))*((3*a)/4 + b)*(-b*(a + b))^(1/2))/(a^3*b + a^4)))*((3*a)/4 + b)*(-b*(a + b))^(1/2)*2i)/(f*(a^3*b + a^4)) - (atan((b^2*tan(e + f*x))/(4*(b^2/4 + b^3/a)) + (b^3*tan(e + f*x))/((a*b^2)/4 + b^3))*(a*1i + b*4i)*1i)/(2*a^3*f) - ((tan(e + f*x)*(a + 2*b))/(2*a^2) + (b*tan(e + f*x)^3)/a^2)/(f*(a + b + b*tan(e + f*x)^4 + tan(e + f*x)^2*(a + 2*b)))","B"
50,1,2056,92,6.350307,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}}{\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}}\right)}{a^2\,f}-\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{2\,a\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}{\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}","Not used",1,"atan((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 - ((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2)/((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + (((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + ((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2)))/(a^2*f) + (atan(((((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))/(((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2) - (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2))))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(2*f*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) - (b*tan(e + f*x))/(2*a*f*(a + b)*(a + b + b*tan(e + f*x)^2))","B"
51,1,91,91,4.402504,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^2),x)","-\frac{\frac{1}{a+b}+\frac{3\,b\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,{\left(a+b\right)}^2}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(a+b\right)\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+b^2\right)}{{\left(a+b\right)}^{5/2}}\right)}{2\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"- (1/(a + b) + (3*b*tan(e + f*x)^2)/(2*(a + b)^2))/(f*(b*tan(e + f*x)^3 + tan(e + f*x)*(a + b))) - (3*b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(2*a*b + a^2 + b^2))/(a + b)^(5/2)))/(2*f*(a + b)^(5/2))","B"
52,1,141,123,5.493565,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^2),x)","-\frac{\frac{1}{3\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a-2\,b\right)}{3\,{\left(a+b\right)}^2}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,a-2\,b\right)}{2\,{\left(a+b\right)}^3}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{{\left(a+b\right)}^{7/2}}\right)\,\left(3\,a-2\,b\right)}{2\,f\,{\left(a+b\right)}^{7/2}}","Not used",1,"- (1/(3*(a + b)) + (tan(e + f*x)^2*(3*a - 2*b))/(3*(a + b)^2) + (b*tan(e + f*x)^4*(3*a - 2*b))/(2*(a + b)^3))/(f*(tan(e + f*x)^3*(a + b) + b*tan(e + f*x)^5)) - (b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(a + b)^(7/2))*(3*a - 2*b))/(2*f*(a + b)^(7/2))","B"
53,1,198,188,6.305439,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^2),x)","\frac{a\,\sqrt{b}\,\mathrm{atan}\left(\frac{a\,\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(3\,a-4\,b\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}{{\left(a+b\right)}^{9/2}\,\left(4\,a\,b-3\,a^2\right)}\right)\,\left(3\,a-4\,b\right)}{2\,f\,{\left(a+b\right)}^{9/2}}-\frac{\frac{1}{5\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(4\,a\,b-3\,a^2\right)}{3\,{\left(a+b\right)}^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(10\,a+3\,b\right)}{15\,{\left(a+b\right)}^2}-\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(4\,a\,b-3\,a^2\right)}{2\,{\left(a+b\right)}^4}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^7+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5\right)}","Not used",1,"(a*b^(1/2)*atan((a*b^(1/2)*tan(e + f*x)*(3*a - 4*b)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2))/((a + b)^(9/2)*(4*a*b - 3*a^2)))*(3*a - 4*b))/(2*f*(a + b)^(9/2)) - (1/(5*(a + b)) - (tan(e + f*x)^4*(4*a*b - 3*a^2))/(3*(a + b)^3) + (tan(e + f*x)^2*(10*a + 3*b))/(15*(a + b)^2) - (b*tan(e + f*x)^6*(4*a*b - 3*a^2))/(2*(a + b)^4))/(f*(tan(e + f*x)^5*(a + b) + b*tan(e + f*x)^7))","B"
54,1,255,214,4.509355,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^3,x)","\frac{{\cos\left(e+f\,x\right)}^3\,\left(\frac{b}{a^4}+\frac{2}{3\,a^3}\right)}{f}-\frac{\left(\frac{9\,a^3\,b}{8}+\frac{13\,a^2\,b^2}{4}+\frac{17\,a\,b^3}{8}\right)\,{\cos\left(e+f\,x\right)}^3+\left(\frac{7\,a^2\,b^2}{8}+\frac{11\,a\,b^3}{4}+\frac{15\,b^4}{8}\right)\,\cos\left(e+f\,x\right)}{f\,\left(a^7\,{\cos\left(e+f\,x\right)}^4+2\,a^6\,b\,{\cos\left(e+f\,x\right)}^2+a^5\,b^2\right)}-\frac{{\cos\left(e+f\,x\right)}^5}{5\,a^3\,f}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{1}{a^3}-\frac{3\,b^2}{a^5}+\frac{3\,b\,\left(\frac{3\,b}{a^4}+\frac{2}{a^3}\right)}{a}\right)}{f}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,\left(15\,a^2+70\,a\,b+63\,b^2\right)}{15\,a^2\,b+70\,a\,b^2+63\,b^3}\right)\,\left(15\,a^2+70\,a\,b+63\,b^2\right)}{8\,a^{11/2}\,f}","Not used",1,"(cos(e + f*x)^3*(b/a^4 + 2/(3*a^3)))/f - (cos(e + f*x)^3*((17*a*b^3)/8 + (9*a^3*b)/8 + (13*a^2*b^2)/4) + cos(e + f*x)*((11*a*b^3)/4 + (15*b^4)/8 + (7*a^2*b^2)/8))/(f*(a^5*b^2 + a^7*cos(e + f*x)^4 + 2*a^6*b*cos(e + f*x)^2)) - cos(e + f*x)^5/(5*a^3*f) - (cos(e + f*x)*(1/a^3 - (3*b^2)/a^5 + (3*b*((3*b)/a^4 + 2/a^3))/a))/f + (b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(70*a*b + 15*a^2 + 63*b^2))/(70*a*b^2 + 15*a^2*b + 63*b^3))*(70*a*b + 15*a^2 + 63*b^2))/(8*a^(11/2)*f)","B"
55,1,172,154,0.168232,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^3,x)","\frac{{\cos\left(e+f\,x\right)}^3}{3\,a^3\,f}-\frac{\left(\frac{9\,a^2\,b}{8}+\frac{13\,a\,b^2}{8}\right)\,{\cos\left(e+f\,x\right)}^3+\left(\frac{11\,b^3}{8}+\frac{7\,a\,b^2}{8}\right)\,\cos\left(e+f\,x\right)}{f\,\left(a^6\,{\cos\left(e+f\,x\right)}^4+2\,a^5\,b\,{\cos\left(e+f\,x\right)}^2+a^4\,b^2\right)}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{3\,b}{a^4}+\frac{1}{a^3}\right)}{f}+\frac{5\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{b}\,\cos\left(e+f\,x\right)\,\left(3\,a+7\,b\right)}{7\,b^2+3\,a\,b}\right)\,\left(3\,a+7\,b\right)}{8\,a^{9/2}\,f}","Not used",1,"cos(e + f*x)^3/(3*a^3*f) - (cos(e + f*x)^3*((13*a*b^2)/8 + (9*a^2*b)/8) + cos(e + f*x)*((7*a*b^2)/8 + (11*b^3)/8))/(f*(a^4*b^2 + a^6*cos(e + f*x)^4 + 2*a^5*b*cos(e + f*x)^2)) - (cos(e + f*x)*((3*b)/a^4 + 1/a^3))/f + (5*b^(1/2)*atan((a^(1/2)*b^(1/2)*cos(e + f*x)*(3*a + 7*b))/(3*a*b + 7*b^2))*(3*a + 7*b))/(8*a^(9/2)*f)","B"
56,1,105,116,0.146774,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2)^3,x)","\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\cos\left(e+f\,x\right)}{\sqrt{b}}\right)}{8\,a^{7/2}\,f}-\frac{\frac{7\,b^2\,\cos\left(e+f\,x\right)}{8}+\frac{9\,a\,b\,{\cos\left(e+f\,x\right)}^3}{8}}{f\,\left(a^5\,{\cos\left(e+f\,x\right)}^4+2\,a^4\,b\,{\cos\left(e+f\,x\right)}^2+a^3\,b^2\right)}-\frac{\cos\left(e+f\,x\right)}{a^3\,f}","Not used",1,"(15*b^(1/2)*atan((a^(1/2)*cos(e + f*x))/b^(1/2)))/(8*a^(7/2)*f) - ((7*b^2*cos(e + f*x))/8 + (9*a*b*cos(e + f*x)^3)/8)/(f*(a^3*b^2 + a^5*cos(e + f*x)^4 + 2*a^4*b*cos(e + f*x)^2)) - cos(e + f*x)/(a^3*f)","B"
57,1,3557,154,8.600627,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}-\frac{\cos\left(e+f\,x\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{64\,{\left(a+b\right)}^3\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}+\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a+b\right)}^3}-\frac{\left(\frac{\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}+\frac{\cos\left(e+f\,x\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{64\,{\left(a+b\right)}^3\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}-\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,{\left(a+b\right)}^3}}{\frac{\frac{\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}-\frac{\cos\left(e+f\,x\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{64\,{\left(a+b\right)}^3\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}+\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}-\frac{120\,a^4\,b+185\,a^3\,b^2+139\,a^2\,b^3+51\,a\,b^4+9\,b^5}{32\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}+\frac{\frac{\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}+\frac{\cos\left(e+f\,x\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{64\,{\left(a+b\right)}^3\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}-\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{2\,{\left(a+b\right)}^3}}\right)\,1{}\mathrm{i}}{f\,{\left(a+b\right)}^3}-\frac{\frac{{\cos\left(e+f\,x\right)}^3\,\left(5\,b^2+9\,a\,b\right)}{8\,a\,\left(a^2+2\,a\,b+b^2\right)}+\frac{b\,\cos\left(e+f\,x\right)\,\left(3\,b^2+7\,a\,b\right)}{8\,a^2\,\left(a^2+2\,a\,b+b^2\right)}}{f\,\left(a^2\,{\cos\left(e+f\,x\right)}^4+2\,a\,b\,{\cos\left(e+f\,x\right)}^2+b^2\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-a^5\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}+\frac{\left(\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{512\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}+\frac{\sqrt{-a^5\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}-\frac{\left(\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{512\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}}{\frac{120\,a^4\,b+185\,a^3\,b^2+139\,a^2\,b^3+51\,a\,b^4+9\,b^5}{32\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}-\frac{\sqrt{-a^5\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}+\frac{\left(\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{512\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}+\frac{\sqrt{-a^5\,b}\,\left(\frac{\cos\left(e+f\,x\right)\,\left(64\,a^6+225\,a^4\,b^2+300\,a^3\,b^3+190\,a^2\,b^4+60\,a\,b^5+9\,b^6\right)}{32\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}-\frac{\left(\frac{224\,a^{10}\,b+1440\,a^9\,b^2+3936\,a^8\,b^3+5920\,a^7\,b^4+5280\,a^6\,b^5+2784\,a^5\,b^6+800\,a^4\,b^7+96\,a^3\,b^8}{64\,\left(a^9+6\,a^8\,b+15\,a^7\,b^2+20\,a^6\,b^3+15\,a^5\,b^4+6\,a^4\,b^5+a^3\,b^6\right)}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,\left(256\,a^{12}+1280\,a^{11}\,b+2304\,a^{10}\,b^2+1280\,a^9\,b^3-1280\,a^8\,b^4-2304\,a^7\,b^5-1280\,a^6\,b^6-256\,a^5\,b^7\right)}{512\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(15\,a^2+10\,a\,b+3\,b^2\right)}{16\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}}\right)\,\sqrt{-a^5\,b}\,\left(15\,a^2+10\,a\,b+3\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}","Not used",1,"(atan((((-a^5*b)^(1/2)*((cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) + (((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) - (cos(e + f*x)*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(512*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(10*a*b + 15*a^2 + 3*b^2)*1i)/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)) + ((-a^5*b)^(1/2)*((cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) - (((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) + (cos(e + f*x)*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(512*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(10*a*b + 15*a^2 + 3*b^2)*1i)/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))/((51*a*b^4 + 120*a^4*b + 9*b^5 + 139*a^2*b^3 + 185*a^3*b^2)/(32*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) - ((-a^5*b)^(1/2)*((cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) + (((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) - (cos(e + f*x)*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(512*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)) + ((-a^5*b)^(1/2)*((cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) - (((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) + (cos(e + f*x)*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(512*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(10*a*b + 15*a^2 + 3*b^2))/(16*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2))))*(-a^5*b)^(1/2)*(10*a*b + 15*a^2 + 3*b^2)*1i)/(8*f*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)) - ((cos(e + f*x)^3*(9*a*b + 5*b^2))/(8*a*(2*a*b + a^2 + b^2)) + (b*cos(e + f*x)*(7*a*b + 3*b^2))/(8*a^2*(2*a*b + a^2 + b^2)))/(f*(b^2 + a^2*cos(e + f*x)^4 + 2*a*b*cos(e + f*x)^2)) - (atan((((((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) - (cos(e + f*x)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(64*(a + b)^3*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3) + (cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*1i)/(2*(a + b)^3) - ((((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) + (cos(e + f*x)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(64*(a + b)^3*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3) - (cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*1i)/(2*(a + b)^3))/((((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) - (cos(e + f*x)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(64*(a + b)^3*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3) + (cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3) - (51*a*b^4 + 120*a^4*b + 9*b^5 + 139*a^2*b^3 + 185*a^3*b^2)/(32*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) + (((224*a^10*b + 96*a^3*b^8 + 800*a^4*b^7 + 2784*a^5*b^6 + 5280*a^6*b^5 + 5920*a^7*b^4 + 3936*a^8*b^3 + 1440*a^9*b^2)/(64*(6*a^8*b + a^9 + a^3*b^6 + 6*a^4*b^5 + 15*a^5*b^4 + 20*a^6*b^3 + 15*a^7*b^2)) + (cos(e + f*x)*(1280*a^11*b + 256*a^12 - 256*a^5*b^7 - 1280*a^6*b^6 - 2304*a^7*b^5 - 1280*a^8*b^4 + 1280*a^9*b^3 + 2304*a^10*b^2))/(64*(a + b)^3*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3) - (cos(e + f*x)*(60*a*b^5 + 64*a^6 + 9*b^6 + 190*a^2*b^4 + 300*a^3*b^3 + 225*a^4*b^2))/(32*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(2*(a + b)^3)))*1i)/(f*(a + b)^3)","B"
58,1,2728,213,6.920851,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\frac{{\cos\left(e+f\,x\right)}^3\,\left(17\,a^2\,b-6\,a\,b^2+b^3\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}-\frac{{\cos\left(e+f\,x\right)}^5\,\left(-4\,a^2+9\,a\,b+b^2\right)}{8\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}+\frac{b^2\,\cos\left(e+f\,x\right)\,\left(11\,a-b\right)}{8\,\left(a^4+3\,a^3\,b+3\,a^2\,b^2+a\,b^3\right)}}{f\,\left(b^2-{\cos\left(e+f\,x\right)}^4\,\left(2\,a\,b-a^2\right)+{\cos\left(e+f\,x\right)}^2\,\left(2\,a\,b-b^2\right)-a^2\,{\cos\left(e+f\,x\right)}^6\right)}-\frac{\ln\left(\cos\left(e+f\,x\right)-1\right)\,\left(\frac{3\,b}{2\,{\left(a+b\right)}^4}-\frac{1}{4\,{\left(a+b\right)}^3}\right)}{f}-\frac{\ln\left(\cos\left(e+f\,x\right)+1\right)\,\left(a-5\,b\right)}{4\,f\,{\left(a+b\right)}^4}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(16\,a^6-160\,a^5\,b+625\,a^4\,b^2-300\,a^3\,b^3+70\,a^2\,b^4+20\,a\,b^5+b^6\right)}{32\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\frac{11\,a^{11}\,b}{2}+\frac{87\,a^{10}\,b^2}{2}+150\,a^9\,b^3+294\,a^8\,b^4+357\,a^7\,b^5+273\,a^6\,b^6+126\,a^5\,b^7+30\,a^4\,b^8+\frac{3\,a^3\,b^9}{2}-\frac{a^2\,b^{10}}{2}}{a^{10}+9\,a^9\,b+36\,a^8\,b^2+84\,a^7\,b^3+126\,a^6\,b^4+126\,a^5\,b^5+84\,a^4\,b^6+36\,a^3\,b^7+9\,a^2\,b^8+a\,b^9}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,\left(256\,a^{12}+1792\,a^{11}\,b+5120\,a^{10}\,b^2+7168\,a^9\,b^3+3584\,a^8\,b^4-3584\,a^7\,b^5-7168\,a^6\,b^6-5120\,a^5\,b^7-1792\,a^4\,b^8-256\,a^3\,b^9\right)}{512\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}\right)\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,1{}\mathrm{i}}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}+\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(16\,a^6-160\,a^5\,b+625\,a^4\,b^2-300\,a^3\,b^3+70\,a^2\,b^4+20\,a\,b^5+b^6\right)}{32\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}-\frac{\sqrt{-a^3\,b}\,\left(\frac{\frac{11\,a^{11}\,b}{2}+\frac{87\,a^{10}\,b^2}{2}+150\,a^9\,b^3+294\,a^8\,b^4+357\,a^7\,b^5+273\,a^6\,b^6+126\,a^5\,b^7+30\,a^4\,b^8+\frac{3\,a^3\,b^9}{2}-\frac{a^2\,b^{10}}{2}}{a^{10}+9\,a^9\,b+36\,a^8\,b^2+84\,a^7\,b^3+126\,a^6\,b^4+126\,a^5\,b^5+84\,a^4\,b^6+36\,a^3\,b^7+9\,a^2\,b^8+a\,b^9}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,\left(256\,a^{12}+1792\,a^{11}\,b+5120\,a^{10}\,b^2+7168\,a^9\,b^3+3584\,a^8\,b^4-3584\,a^7\,b^5-7168\,a^6\,b^6-5120\,a^5\,b^7-1792\,a^4\,b^8-256\,a^3\,b^9\right)}{512\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}\right)\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,1{}\mathrm{i}}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}{\frac{-\frac{15\,a^5\,b}{16}+\frac{475\,a^4\,b^2}{64}-\frac{473\,a^3\,b^3}{32}+\frac{21\,a^2\,b^4}{4}+\frac{47\,a\,b^5}{32}+\frac{5\,b^6}{64}}{a^{10}+9\,a^9\,b+36\,a^8\,b^2+84\,a^7\,b^3+126\,a^6\,b^4+126\,a^5\,b^5+84\,a^4\,b^6+36\,a^3\,b^7+9\,a^2\,b^8+a\,b^9}+\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(16\,a^6-160\,a^5\,b+625\,a^4\,b^2-300\,a^3\,b^3+70\,a^2\,b^4+20\,a\,b^5+b^6\right)}{32\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}+\frac{\sqrt{-a^3\,b}\,\left(\frac{\frac{11\,a^{11}\,b}{2}+\frac{87\,a^{10}\,b^2}{2}+150\,a^9\,b^3+294\,a^8\,b^4+357\,a^7\,b^5+273\,a^6\,b^6+126\,a^5\,b^7+30\,a^4\,b^8+\frac{3\,a^3\,b^9}{2}-\frac{a^2\,b^{10}}{2}}{a^{10}+9\,a^9\,b+36\,a^8\,b^2+84\,a^7\,b^3+126\,a^6\,b^4+126\,a^5\,b^5+84\,a^4\,b^6+36\,a^3\,b^7+9\,a^2\,b^8+a\,b^9}-\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,\left(256\,a^{12}+1792\,a^{11}\,b+5120\,a^{10}\,b^2+7168\,a^9\,b^3+3584\,a^8\,b^4-3584\,a^7\,b^5-7168\,a^6\,b^6-5120\,a^5\,b^7-1792\,a^4\,b^8-256\,a^3\,b^9\right)}{512\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}\right)\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}-\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(16\,a^6-160\,a^5\,b+625\,a^4\,b^2-300\,a^3\,b^3+70\,a^2\,b^4+20\,a\,b^5+b^6\right)}{32\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}-\frac{\sqrt{-a^3\,b}\,\left(\frac{\frac{11\,a^{11}\,b}{2}+\frac{87\,a^{10}\,b^2}{2}+150\,a^9\,b^3+294\,a^8\,b^4+357\,a^7\,b^5+273\,a^6\,b^6+126\,a^5\,b^7+30\,a^4\,b^8+\frac{3\,a^3\,b^9}{2}-\frac{a^2\,b^{10}}{2}}{a^{10}+9\,a^9\,b+36\,a^8\,b^2+84\,a^7\,b^3+126\,a^6\,b^4+126\,a^5\,b^5+84\,a^4\,b^6+36\,a^3\,b^7+9\,a^2\,b^8+a\,b^9}+\frac{\cos\left(e+f\,x\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,\left(256\,a^{12}+1792\,a^{11}\,b+5120\,a^{10}\,b^2+7168\,a^9\,b^3+3584\,a^8\,b^4-3584\,a^7\,b^5-7168\,a^6\,b^6-5120\,a^5\,b^7-1792\,a^4\,b^8-256\,a^3\,b^9\right)}{512\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)\,\left(a^7+6\,a^6\,b+15\,a^5\,b^2+20\,a^4\,b^3+15\,a^3\,b^4+6\,a^2\,b^5+a\,b^6\right)}\right)\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)}{16\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}}\right)\,\sqrt{-a^3\,b}\,\left(-15\,a^2+10\,a\,b+b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^7+4\,a^6\,b+6\,a^5\,b^2+4\,a^4\,b^3+a^3\,b^4\right)}","Not used",1,"- ((cos(e + f*x)^3*(17*a^2*b - 6*a*b^2 + b^3))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)) - (cos(e + f*x)^5*(9*a*b - 4*a^2 + b^2))/(8*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) + (b^2*cos(e + f*x)*(11*a - b))/(8*(a*b^3 + 3*a^3*b + a^4 + 3*a^2*b^2)))/(f*(b^2 - cos(e + f*x)^4*(2*a*b - a^2) + cos(e + f*x)^2*(2*a*b - b^2) - a^2*cos(e + f*x)^6)) - (log(cos(e + f*x) - 1)*((3*b)/(2*(a + b)^4) - 1/(4*(a + b)^3)))/f - (log(cos(e + f*x) + 1)*(a - 5*b))/(4*f*(a + b)^4) - (atan(((((cos(e + f*x)*(20*a*b^5 - 160*a^5*b + 16*a^6 + b^6 + 70*a^2*b^4 - 300*a^3*b^3 + 625*a^4*b^2))/(32*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)) + ((-a^3*b)^(1/2)*(((11*a^11*b)/2 - (a^2*b^10)/2 + (3*a^3*b^9)/2 + 30*a^4*b^8 + 126*a^5*b^7 + 273*a^6*b^6 + 357*a^7*b^5 + 294*a^8*b^4 + 150*a^9*b^3 + (87*a^10*b^2)/2)/(a*b^9 + 9*a^9*b + a^10 + 9*a^2*b^8 + 36*a^3*b^7 + 84*a^4*b^6 + 126*a^5*b^5 + 126*a^6*b^4 + 84*a^7*b^3 + 36*a^8*b^2) - (cos(e + f*x)*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*(1792*a^11*b + 256*a^12 - 256*a^3*b^9 - 1792*a^4*b^8 - 5120*a^5*b^7 - 7168*a^6*b^6 - 3584*a^7*b^5 + 3584*a^8*b^4 + 7168*a^9*b^3 + 5120*a^10*b^2))/(512*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)))*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*1i)/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) + (((cos(e + f*x)*(20*a*b^5 - 160*a^5*b + 16*a^6 + b^6 + 70*a^2*b^4 - 300*a^3*b^3 + 625*a^4*b^2))/(32*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)) - ((-a^3*b)^(1/2)*(((11*a^11*b)/2 - (a^2*b^10)/2 + (3*a^3*b^9)/2 + 30*a^4*b^8 + 126*a^5*b^7 + 273*a^6*b^6 + 357*a^7*b^5 + 294*a^8*b^4 + 150*a^9*b^3 + (87*a^10*b^2)/2)/(a*b^9 + 9*a^9*b + a^10 + 9*a^2*b^8 + 36*a^3*b^7 + 84*a^4*b^6 + 126*a^5*b^5 + 126*a^6*b^4 + 84*a^7*b^3 + 36*a^8*b^2) + (cos(e + f*x)*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*(1792*a^11*b + 256*a^12 - 256*a^3*b^9 - 1792*a^4*b^8 - 5120*a^5*b^7 - 7168*a^6*b^6 - 3584*a^7*b^5 + 3584*a^8*b^4 + 7168*a^9*b^3 + 5120*a^10*b^2))/(512*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)))*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*1i)/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))/(((47*a*b^5)/32 - (15*a^5*b)/16 + (5*b^6)/64 + (21*a^2*b^4)/4 - (473*a^3*b^3)/32 + (475*a^4*b^2)/64)/(a*b^9 + 9*a^9*b + a^10 + 9*a^2*b^8 + 36*a^3*b^7 + 84*a^4*b^6 + 126*a^5*b^5 + 126*a^6*b^4 + 84*a^7*b^3 + 36*a^8*b^2) + (((cos(e + f*x)*(20*a*b^5 - 160*a^5*b + 16*a^6 + b^6 + 70*a^2*b^4 - 300*a^3*b^3 + 625*a^4*b^2))/(32*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)) + ((-a^3*b)^(1/2)*(((11*a^11*b)/2 - (a^2*b^10)/2 + (3*a^3*b^9)/2 + 30*a^4*b^8 + 126*a^5*b^7 + 273*a^6*b^6 + 357*a^7*b^5 + 294*a^8*b^4 + 150*a^9*b^3 + (87*a^10*b^2)/2)/(a*b^9 + 9*a^9*b + a^10 + 9*a^2*b^8 + 36*a^3*b^7 + 84*a^4*b^6 + 126*a^5*b^5 + 126*a^6*b^4 + 84*a^7*b^3 + 36*a^8*b^2) - (cos(e + f*x)*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*(1792*a^11*b + 256*a^12 - 256*a^3*b^9 - 1792*a^4*b^8 - 5120*a^5*b^7 - 7168*a^6*b^6 - 3584*a^7*b^5 + 3584*a^8*b^4 + 7168*a^9*b^3 + 5120*a^10*b^2))/(512*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)))*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)) - (((cos(e + f*x)*(20*a*b^5 - 160*a^5*b + 16*a^6 + b^6 + 70*a^2*b^4 - 300*a^3*b^3 + 625*a^4*b^2))/(32*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)) - ((-a^3*b)^(1/2)*(((11*a^11*b)/2 - (a^2*b^10)/2 + (3*a^3*b^9)/2 + 30*a^4*b^8 + 126*a^5*b^7 + 273*a^6*b^6 + 357*a^7*b^5 + 294*a^8*b^4 + 150*a^9*b^3 + (87*a^10*b^2)/2)/(a*b^9 + 9*a^9*b + a^10 + 9*a^2*b^8 + 36*a^3*b^7 + 84*a^4*b^6 + 126*a^5*b^5 + 126*a^6*b^4 + 84*a^7*b^3 + 36*a^8*b^2) + (cos(e + f*x)*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*(1792*a^11*b + 256*a^12 - 256*a^3*b^9 - 1792*a^4*b^8 - 5120*a^5*b^7 - 7168*a^6*b^6 - 3584*a^7*b^5 + 3584*a^8*b^4 + 7168*a^9*b^3 + 5120*a^10*b^2))/(512*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)*(a*b^6 + 6*a^6*b + a^7 + 6*a^2*b^5 + 15*a^3*b^4 + 20*a^4*b^3 + 15*a^5*b^2)))*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2)))*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2))/(16*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2))))*(-a^3*b)^(1/2)*(10*a*b - 15*a^2 + b^2)*1i)/(8*f*(4*a^6*b + a^7 + a^3*b^4 + 4*a^4*b^3 + 6*a^5*b^2))","B"
59,1,5613,257,9.604162,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\frac{{\cos\left(e+f\,x\right)}^3\,\left(19\,a^2\,b-34\,a\,b^2+19\,b^3\right)}{8\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{{\cos\left(e+f\,x\right)}^5\,\left(5\,a^3-31\,a^2\,b+31\,a\,b^2-5\,b^3\right)}{8\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{3\,b^2\,\cos\left(e+f\,x\right)\,\left(a-b\right)}{2\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}-\frac{3\,a\,{\cos\left(e+f\,x\right)}^7\,\left(a^2-6\,a\,b+b^2\right)}{8\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}}{f\,\left({\cos\left(e+f\,x\right)}^4\,\left(a^2-4\,a\,b+b^2\right)+b^2+{\cos\left(e+f\,x\right)}^6\,\left(2\,a\,b-2\,a^2\right)+{\cos\left(e+f\,x\right)}^2\,\left(2\,a\,b-2\,b^2\right)+a^2\,{\cos\left(e+f\,x\right)}^8\right)}-\frac{\mathrm{atan}\left(\frac{\left(\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)+\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,1{}\mathrm{i}-\left(\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}+\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)-\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,1{}\mathrm{i}}{\left(\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}-\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)+\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)-\frac{\frac{135\,a^7\,b}{256}-\frac{1215\,a^6\,b^2}{128}+\frac{13257\,a^5\,b^3}{256}-\frac{5913\,a^4\,b^4}{64}+\frac{13257\,a^3\,b^5}{256}-\frac{1215\,a^2\,b^6}{128}+\frac{135\,a\,b^7}{256}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}+\left(\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}+\frac{\cos\left(e+f\,x\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)-\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(\frac{3}{16\,{\left(a+b\right)}^3}-\frac{9\,b}{4\,{\left(a+b\right)}^4}+\frac{3\,b^2}{{\left(a+b\right)}^5}\right)}\right)\,\left(-\frac{b\,9{}\mathrm{i}}{2\,{\left(a+b\right)}^4}+\frac{3{}\mathrm{i}}{8\,{\left(a+b\right)}^3}+\frac{b^2\,6{}\mathrm{i}}{{\left(a+b\right)}^5}\right)}{f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}+\frac{3\,\sqrt{-a\,b}\,\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}-\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{512\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,3{}\mathrm{i}}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}+\frac{\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}-\frac{3\,\sqrt{-a\,b}\,\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}+\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{512\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,3{}\mathrm{i}}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}}{\frac{\frac{135\,a^7\,b}{256}-\frac{1215\,a^6\,b^2}{128}+\frac{13257\,a^5\,b^3}{256}-\frac{5913\,a^4\,b^4}{64}+\frac{13257\,a^3\,b^5}{256}-\frac{1215\,a^2\,b^6}{128}+\frac{135\,a\,b^7}{256}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}-\frac{3\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}+\frac{3\,\sqrt{-a\,b}\,\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}-\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{512\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}+\frac{3\,\left(\frac{\cos\left(e+f\,x\right)\,\left(9\,a^7-180\,a^6\,b+1215\,a^5\,b^2-1800\,a^4\,b^3+1215\,a^3\,b^4-180\,a^2\,b^5+9\,a\,b^6\right)}{32\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}-\frac{3\,\sqrt{-a\,b}\,\left(\frac{6\,a^{13}\,b+54\,a^{12}\,b^2+210\,a^{11}\,b^3+450\,a^{10}\,b^4+540\,a^9\,b^5+252\,a^8\,b^6-252\,a^7\,b^7-540\,a^6\,b^8-450\,a^5\,b^9-210\,a^4\,b^{10}-54\,a^3\,b^{11}-6\,a^2\,b^{12}}{a^{12}+12\,a^{11}\,b+66\,a^{10}\,b^2+220\,a^9\,b^3+495\,a^8\,b^4+792\,a^7\,b^5+924\,a^6\,b^6+792\,a^5\,b^7+495\,a^4\,b^8+220\,a^3\,b^9+66\,a^2\,b^{10}+12\,a\,b^{11}+b^{12}}+\frac{3\,\cos\left(e+f\,x\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,\left(256\,a^{13}+2304\,a^{12}\,b+8960\,a^{11}\,b^2+19200\,a^{10}\,b^3+23040\,a^9\,b^4+10752\,a^8\,b^5-10752\,a^7\,b^6-23040\,a^6\,b^7-19200\,a^5\,b^8-8960\,a^4\,b^9-2304\,a^3\,b^{10}-256\,a^2\,b^{11}\right)}{512\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)\,\left(a^8+8\,a^7\,b+28\,a^6\,b^2+56\,a^5\,b^3+70\,a^4\,b^4+56\,a^3\,b^5+28\,a^2\,b^6+8\,a\,b^7+b^8\right)}\right)\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)}{16\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}}\right)\,\sqrt{-a\,b}\,\left(5\,a^2-10\,a\,b+b^2\right)\,3{}\mathrm{i}}{8\,f\,\left(a^6+5\,a^5\,b+10\,a^4\,b^2+10\,a^3\,b^3+5\,a^2\,b^4+a\,b^5\right)}","Not used",1,"(atan(((((cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)) + (3*(-a*b)^(1/2)*((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) - (3*cos(e + f*x)*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(512*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)))*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*3i)/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)) + (((cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)) - (3*(-a*b)^(1/2)*((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) + (3*cos(e + f*x)*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(512*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)))*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*3i)/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)))/(((135*a*b^7)/256 + (135*a^7*b)/256 - (1215*a^2*b^6)/128 + (13257*a^3*b^5)/256 - (5913*a^4*b^4)/64 + (13257*a^5*b^3)/256 - (1215*a^6*b^2)/128)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) - (3*((cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)) + (3*(-a*b)^(1/2)*((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) - (3*cos(e + f*x)*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(512*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)))*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)) + (3*((cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)) - (3*(-a*b)^(1/2)*((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) + (3*cos(e + f*x)*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(512*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)))*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2))/(16*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2))))*(-a*b)^(1/2)*(5*a^2 - 10*a*b + b^2)*3i)/(8*f*(a*b^5 + 5*a^5*b + a^6 + 5*a^2*b^4 + 10*a^3*b^3 + 10*a^4*b^2)) - (atan(((((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) - (cos(e + f*x)*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5) + (cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*1i - (((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) + (cos(e + f*x)*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5) - (cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*1i)/((((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) - (cos(e + f*x)*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5) + (cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5) - ((135*a*b^7)/256 + (135*a^7*b)/256 - (1215*a^2*b^6)/128 + (13257*a^3*b^5)/256 - (5913*a^4*b^4)/64 + (13257*a^5*b^3)/256 - (1215*a^6*b^2)/128)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) + (((6*a^13*b - 6*a^2*b^12 - 54*a^3*b^11 - 210*a^4*b^10 - 450*a^5*b^9 - 540*a^6*b^8 - 252*a^7*b^7 + 252*a^8*b^6 + 540*a^9*b^5 + 450*a^10*b^4 + 210*a^11*b^3 + 54*a^12*b^2)/(12*a*b^11 + 12*a^11*b + a^12 + b^12 + 66*a^2*b^10 + 220*a^3*b^9 + 495*a^4*b^8 + 792*a^5*b^7 + 924*a^6*b^6 + 792*a^7*b^5 + 495*a^8*b^4 + 220*a^9*b^3 + 66*a^10*b^2) + (cos(e + f*x)*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)*(2304*a^12*b + 256*a^13 - 256*a^2*b^11 - 2304*a^3*b^10 - 8960*a^4*b^9 - 19200*a^5*b^8 - 23040*a^6*b^7 - 10752*a^7*b^6 + 10752*a^8*b^5 + 23040*a^9*b^4 + 19200*a^10*b^3 + 8960*a^11*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5) - (cos(e + f*x)*(9*a*b^6 - 180*a^6*b + 9*a^7 - 180*a^2*b^5 + 1215*a^3*b^4 - 1800*a^4*b^3 + 1215*a^5*b^2))/(32*(8*a*b^7 + 8*a^7*b + a^8 + b^8 + 28*a^2*b^6 + 56*a^3*b^5 + 70*a^4*b^4 + 56*a^5*b^3 + 28*a^6*b^2)))*(3/(16*(a + b)^3) - (9*b)/(4*(a + b)^4) + (3*b^2)/(a + b)^5)))*(3i/(8*(a + b)^3) - (b*9i)/(2*(a + b)^4) + (b^2*6i)/(a + b)^5))/f - ((cos(e + f*x)^3*(19*a^2*b - 34*a*b^2 + 19*b^3))/(8*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + (cos(e + f*x)^5*(31*a*b^2 - 31*a^2*b + 5*a^3 - 5*b^3))/(8*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + (3*b^2*cos(e + f*x)*(a - b))/(2*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) - (3*a*cos(e + f*x)^7*(a^2 - 6*a*b + b^2))/(8*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)))/(f*(cos(e + f*x)^4*(a^2 - 4*a*b + b^2) + b^2 + cos(e + f*x)^6*(2*a*b - 2*a^2) + cos(e + f*x)^2*(2*a*b - 2*b^2) + a^2*cos(e + f*x)^8))","B"
60,1,2117,314,7.717036,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a^4+14\,a^3\,b+46\,a^2\,b^2+57\,a\,b^3+24\,b^4\right)}{6\,a^5}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(3\,a^3\,b+19\,a^2\,b^2+39\,a\,b^3+24\,b^4\right)}{6\,a^5}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(33\,a^4+470\,a^3\,b+1910\,a^2\,b^2+2880\,a\,b^3+1440\,b^4\right)}{48\,a^5}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^4+14\,a^3\,b+41\,a^2\,b^2+44\,a\,b^3+16\,b^4\right)}{16\,a^5}+\frac{5\,b\,{\mathrm{tan}\left(e+f\,x\right)}^9\,\left(5\,a^2\,b+20\,a\,b^2+16\,b^3\right)}{16\,a^5}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(a^2+8\,a\,b+10\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(5\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^{10}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a^2+8\,a\,b+5\,b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,a^2+12\,a\,b+10\,b^2\right)\right)}+\frac{5\,\mathrm{atan}\left(\frac{\frac{5\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}-\frac{\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{4096\,a^{16}}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)}{32\,a^6}+\frac{5\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}+\frac{\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{4096\,a^{16}}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)}{32\,a^6}}{\frac{\frac{1875\,a^8\,b^3}{1024}+\frac{53125\,a^7\,b^4}{1024}+\frac{256125\,a^6\,b^5}{512}+\frac{305125\,a^5\,b^6}{128}+\frac{204875\,a^4\,b^7}{32}+\frac{40625\,a^3\,b^8}{4}+\frac{18875\,a^2\,b^9}{2}+4750\,a\,b^{10}+1000\,b^{11}}{a^{15}}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}-\frac{\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{4096\,a^{16}}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}+\frac{\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{4096\,a^{16}}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,5{}\mathrm{i}}{32\,a^6}}\right)\,\left(a+2\,b\right)\,\left(a^2+16\,a\,b+16\,b^2\right)}{16\,a^6\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}-\frac{5\,\left(a+4\,b\right)\,\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}-\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{2048\,a^{16}}\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{16\,a^6}\right)\,5{}\mathrm{i}}{16\,a^6}+\frac{\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}+\frac{5\,\left(a+4\,b\right)\,\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{2048\,a^{16}}\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{16\,a^6}\right)\,5{}\mathrm{i}}{16\,a^6}}{\frac{\frac{1875\,a^8\,b^3}{1024}+\frac{53125\,a^7\,b^4}{1024}+\frac{256125\,a^6\,b^5}{512}+\frac{305125\,a^5\,b^6}{128}+\frac{204875\,a^4\,b^7}{32}+\frac{40625\,a^3\,b^8}{4}+\frac{18875\,a^2\,b^9}{2}+4750\,a\,b^{10}+1000\,b^{11}}{a^{15}}-\frac{5\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}-\frac{5\,\left(a+4\,b\right)\,\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}-\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{2048\,a^{16}}\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{16\,a^6}\right)}{16\,a^6}+\frac{5\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(925\,a^6\,b^3+12300\,a^5\,b^4+65800\,a^4\,b^5+176000\,a^3\,b^6+249600\,a^2\,b^7+179200\,a\,b^8+51200\,b^9\right)}{128\,a^{10}}+\frac{5\,\left(a+4\,b\right)\,\left(\frac{\frac{5\,a^{15}\,b^2}{4}+\frac{65\,a^{14}\,b^3}{4}+35\,a^{13}\,b^4+20\,a^{12}\,b^5}{a^{15}}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^{13}\,b^2+2048\,a^{12}\,b^3\right)\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{2048\,a^{16}}\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{16\,a^6}\right)}{16\,a^6}}\right)\,\left(a+4\,b\right)\,\left(3\,a+4\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,5{}\mathrm{i}}{8\,a^6\,f}","Not used",1,"(5*atan(((5*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) - (((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 - (tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(4096*a^16))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6))*(a + 2*b)*(16*a*b + a^2 + 16*b^2))/(32*a^6) + (5*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) + (((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 + (tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(4096*a^16))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6))*(a + 2*b)*(16*a*b + a^2 + 16*b^2))/(32*a^6))/((4750*a*b^10 + 1000*b^11 + (18875*a^2*b^9)/2 + (40625*a^3*b^8)/4 + (204875*a^4*b^7)/32 + (305125*a^5*b^6)/128 + (256125*a^6*b^5)/512 + (53125*a^7*b^4)/1024 + (1875*a^8*b^3)/1024)/a^15 - (((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) - (((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 - (tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(4096*a^16))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6) + (((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) + (((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 + (tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(4096*a^16))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6))*(a + 2*b)*(16*a*b + a^2 + 16*b^2)*5i)/(32*a^6)))*(a + 2*b)*(16*a*b + a^2 + 16*b^2))/(16*a^6*f) - ((5*tan(e + f*x)^3*(57*a*b^3 + 14*a^3*b + a^4 + 24*b^4 + 46*a^2*b^2))/(6*a^5) + (5*tan(e + f*x)^7*(39*a*b^3 + 3*a^3*b + 24*b^4 + 19*a^2*b^2))/(6*a^5) + (tan(e + f*x)^5*(2880*a*b^3 + 470*a^3*b + 33*a^4 + 1440*b^4 + 1910*a^2*b^2))/(48*a^5) + (5*tan(e + f*x)*(44*a*b^3 + 14*a^3*b + a^4 + 16*b^4 + 41*a^2*b^2))/(16*a^5) + (5*b*tan(e + f*x)^9*(20*a*b^2 + 5*a^2*b + 16*b^3))/(16*a^5))/(f*(2*a*b + tan(e + f*x)^6*(8*a*b + a^2 + 10*b^2) + a^2 + b^2 + tan(e + f*x)^8*(2*a*b + 5*b^2) + b^2*tan(e + f*x)^10 + tan(e + f*x)^2*(8*a*b + 3*a^2 + 5*b^2) + tan(e + f*x)^4*(12*a*b + 3*a^2 + 10*b^2))) + (atan((((a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2)*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) - (5*(a + 4*b)*((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 - (5*tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2))/(2048*a^16))*(3*a + 4*b)*(-b*(a + b))^(1/2))/(16*a^6))*5i)/(16*a^6) + ((a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2)*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) + (5*(a + 4*b)*((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 + (5*tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2))/(2048*a^16))*(3*a + 4*b)*(-b*(a + b))^(1/2))/(16*a^6))*5i)/(16*a^6))/((4750*a*b^10 + 1000*b^11 + (18875*a^2*b^9)/2 + (40625*a^3*b^8)/4 + (204875*a^4*b^7)/32 + (305125*a^5*b^6)/128 + (256125*a^6*b^5)/512 + (53125*a^7*b^4)/1024 + (1875*a^8*b^3)/1024)/a^15 - (5*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2)*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) - (5*(a + 4*b)*((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 - (5*tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2))/(2048*a^16))*(3*a + 4*b)*(-b*(a + b))^(1/2))/(16*a^6)))/(16*a^6) + (5*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2)*((tan(e + f*x)*(179200*a*b^8 + 51200*b^9 + 249600*a^2*b^7 + 176000*a^3*b^6 + 65800*a^4*b^5 + 12300*a^5*b^4 + 925*a^6*b^3))/(128*a^10) + (5*(a + 4*b)*((20*a^12*b^5 + 35*a^13*b^4 + (65*a^14*b^3)/4 + (5*a^15*b^2)/4)/a^15 + (5*tan(e + f*x)*(2048*a^12*b^3 + 1024*a^13*b^2)*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2))/(2048*a^16))*(3*a + 4*b)*(-b*(a + b))^(1/2))/(16*a^6)))/(16*a^6)))*(a + 4*b)*(3*a + 4*b)*(-b*(a + b))^(1/2)*5i)/(8*a^6*f)","B"
61,1,1317,238,7.192906,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(19\,a^2\,b+72\,a\,b^2+72\,b^3\right)}{8\,a^4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^3+46\,a^2\,b+108\,a\,b^2+72\,b^3\right)}{8\,a^4}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^3+9\,a^2\,b+16\,a\,b^2+8\,b^3\right)}{8\,a^4}+\frac{3\,b\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(2\,b^2+a\,b\right)}{2\,a^4}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2+6\,a\,b+6\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(4\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^8+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,a^2+6\,a\,b+4\,b^2\right)\right)}-\frac{\mathrm{atan}\left(\frac{27\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,b^2}{256}+\frac{81\,b^3}{64\,a}+\frac{27\,b^4}{16\,a^2}\right)}+\frac{81\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{64\,\left(\frac{27\,a\,b^2}{256}+\frac{81\,b^3}{64}+\frac{27\,b^4}{16\,a}\right)}+\frac{27\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{16\,\left(\frac{27\,a^2\,b^2}{256}+\frac{81\,a\,b^3}{64}+\frac{27\,b^4}{16}\right)}\right)\,\left(a^2\,1{}\mathrm{i}+a\,b\,12{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a^5\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(117\,a^4\,b^3+1008\,a^3\,b^4+3312\,a^2\,b^5+4608\,a\,b^6+2304\,b^7\right)}{16\,a^8}-\frac{3\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+12\,a^{11}\,b^3+12\,a^{10}\,b^4}{a^{12}}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(128\,a^{11}\,b^2+256\,a^{10}\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{256\,a^8\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{16\,\left(a^6+b\,a^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(117\,a^4\,b^3+1008\,a^3\,b^4+3312\,a^2\,b^5+4608\,a\,b^6+2304\,b^7\right)}{16\,a^8}+\frac{3\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+12\,a^{11}\,b^3+12\,a^{10}\,b^4}{a^{12}}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(128\,a^{11}\,b^2+256\,a^{10}\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{256\,a^8\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{16\,\left(a^6+b\,a^5\right)}}{\frac{\frac{135\,a^5\,b^3}{64}+\frac{1215\,a^4\,b^4}{32}+\frac{837\,a^3\,b^5}{4}+\frac{999\,a^2\,b^6}{2}+540\,a\,b^7+216\,b^8}{a^{12}}-\frac{3\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(117\,a^4\,b^3+1008\,a^3\,b^4+3312\,a^2\,b^5+4608\,a\,b^6+2304\,b^7\right)}{16\,a^8}-\frac{3\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+12\,a^{11}\,b^3+12\,a^{10}\,b^4}{a^{12}}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(128\,a^{11}\,b^2+256\,a^{10}\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{256\,a^8\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}+\frac{3\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(117\,a^4\,b^3+1008\,a^3\,b^4+3312\,a^2\,b^5+4608\,a\,b^6+2304\,b^7\right)}{16\,a^8}+\frac{3\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+12\,a^{11}\,b^3+12\,a^{10}\,b^4}{a^{12}}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(128\,a^{11}\,b^2+256\,a^{10}\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{256\,a^8\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)}{16\,\left(a^6+b\,a^5\right)}}\right)\,\sqrt{-b\,\left(a+b\right)}\,\left(5\,a^2+20\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{8\,f\,\left(a^6+b\,a^5\right)}","Not used",1,"(atan(((((tan(e + f*x)*(4608*a*b^6 + 2304*b^7 + 3312*a^2*b^5 + 1008*a^3*b^4 + 117*a^4*b^3))/(16*a^8) - (3*((12*a^10*b^4 + 12*a^11*b^3 + (3*a^12*b^2)/2)/a^12 - (3*tan(e + f*x)*(256*a^10*b^3 + 128*a^11*b^2)*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(256*a^8*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2)*3i)/(16*(a^5*b + a^6)) + (((tan(e + f*x)*(4608*a*b^6 + 2304*b^7 + 3312*a^2*b^5 + 1008*a^3*b^4 + 117*a^4*b^3))/(16*a^8) + (3*((12*a^10*b^4 + 12*a^11*b^3 + (3*a^12*b^2)/2)/a^12 + (3*tan(e + f*x)*(256*a^10*b^3 + 128*a^11*b^2)*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(256*a^8*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2)*3i)/(16*(a^5*b + a^6)))/((540*a*b^7 + 216*b^8 + (999*a^2*b^6)/2 + (837*a^3*b^5)/4 + (1215*a^4*b^4)/32 + (135*a^5*b^3)/64)/a^12 - (3*((tan(e + f*x)*(4608*a*b^6 + 2304*b^7 + 3312*a^2*b^5 + 1008*a^3*b^4 + 117*a^4*b^3))/(16*a^8) - (3*((12*a^10*b^4 + 12*a^11*b^3 + (3*a^12*b^2)/2)/a^12 - (3*tan(e + f*x)*(256*a^10*b^3 + 128*a^11*b^2)*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(256*a^8*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6)) + (3*((tan(e + f*x)*(4608*a*b^6 + 2304*b^7 + 3312*a^2*b^5 + 1008*a^3*b^4 + 117*a^4*b^3))/(16*a^8) + (3*((12*a^10*b^4 + 12*a^11*b^3 + (3*a^12*b^2)/2)/a^12 + (3*tan(e + f*x)*(256*a^10*b^3 + 128*a^11*b^2)*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(256*a^8*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6)))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2))/(16*(a^5*b + a^6))))*(-b*(a + b))^(1/2)*(20*a*b + 5*a^2 + 16*b^2)*3i)/(8*f*(a^5*b + a^6)) - (atan((27*b^2*tan(e + f*x))/(256*((27*b^2)/256 + (81*b^3)/(64*a) + (27*b^4)/(16*a^2))) + (81*b^3*tan(e + f*x))/(64*((27*a*b^2)/256 + (81*b^3)/64 + (27*b^4)/(16*a))) + (27*b^4*tan(e + f*x))/(16*((81*a*b^3)/64 + (27*b^4)/16 + (27*a^2*b^2)/256)))*(a*b*12i + a^2*1i + b^2*16i)*3i)/(8*a^5*f) - ((tan(e + f*x)^5*(72*a*b^2 + 19*a^2*b + 72*b^3))/(8*a^4) + (tan(e + f*x)^3*(108*a*b^2 + 46*a^2*b + 5*a^3 + 72*b^3))/(8*a^4) + (3*tan(e + f*x)*(16*a*b^2 + 9*a^2*b + a^3 + 8*b^3))/(8*a^4) + (3*b*tan(e + f*x)^7*(a*b + 2*b^2))/(2*a^4))/(f*(2*a*b + tan(e + f*x)^4*(6*a*b + a^2 + 6*b^2) + a^2 + b^2 + tan(e + f*x)^6*(2*a*b + 4*b^2) + b^2*tan(e + f*x)^8 + tan(e + f*x)^2*(6*a*b + 2*a^2 + 4*b^2)))","B"
62,1,2628,184,7.834405,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^2+17\,a\,b+12\,b^2\right)}{8\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(12\,b^3+11\,a\,b^2\right)}{8\,a^3\,\left(a+b\right)}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(17\,a^2+40\,a\,b+24\,b^2\right)}{8\,a^3\,\left(a+b\right)}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2+4\,a\,b+3\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^6\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^4}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^4}}{\frac{\frac{165\,a^4\,b^3}{64}+\frac{805\,a^3\,b^4}{32}+\frac{279\,a^2\,b^5}{4}+\frac{297\,a\,b^6}{4}+27\,b^7}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)}{4\,a^4}}\right)\,\left(a\,1{}\mathrm{i}+b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}}{\frac{\frac{165\,a^4\,b^3}{64}+\frac{805\,a^3\,b^4}{32}+\frac{279\,a^2\,b^5}{4}+\frac{297\,a\,b^6}{4}+27\,b^7}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(241\,a^4\,b^3+1424\,a^3\,b^4+3296\,a^2\,b^5+3264\,a\,b^6+1152\,b^7\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^{11}\,b^2+\frac{21\,a^{10}\,b^3}{2}+\frac{29\,a^9\,b^4}{2}+6\,a^8\,b^5}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(15\,a^2+40\,a\,b+24\,b^2\right)}{16\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(15\,a^2+40\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}","Not used",1,"(atan(((((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - (((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(a*1i + b*6i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a*1i + b*6i))/(4*a^4))*(a*1i + b*6i)*1i)/(4*a^4) + (((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + (((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(a*1i + b*6i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a*1i + b*6i))/(4*a^4))*(a*1i + b*6i)*1i)/(4*a^4))/(((297*a*b^6)/4 + 27*b^7 + (279*a^2*b^5)/4 + (805*a^3*b^4)/32 + (165*a^4*b^3)/64)/(2*a^10*b + a^11 + a^9*b^2) - (((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - (((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(a*1i + b*6i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a*1i + b*6i))/(4*a^4))*(a*1i + b*6i))/(4*a^4) + (((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + (((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(a*1i + b*6i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a*1i + b*6i))/(4*a^4))*(a*1i + b*6i))/(4*a^4)))*(a*1i + b*6i)*1i)/(2*a^4*f) - ((tan(e + f*x)*(17*a*b + 4*a^2 + 12*b^2))/(8*a^3) + (tan(e + f*x)^5*(11*a*b^2 + 12*b^3))/(8*a^3*(a + b)) + (b*tan(e + f*x)^3*(40*a*b + 17*a^2 + 24*b^2))/(8*a^3*(a + b)))/(f*(2*a*b + tan(e + f*x)^2*(4*a*b + a^2 + 3*b^2) + a^2 + b^2 + tan(e + f*x)^4*(2*a*b + 3*b^2) + b^2*tan(e + f*x)^6)) + (atan((((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - ((-b*(a + b)^3)^(1/2)*((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(40*a*b + 15*a^2 + 24*b^2)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2)*1i)/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)) + ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + ((-b*(a + b)^3)^(1/2)*((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(40*a*b + 15*a^2 + 24*b^2)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2)*1i)/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))/(((297*a*b^6)/4 + 27*b^7 + (279*a^2*b^5)/4 + (805*a^3*b^4)/32 + (165*a^4*b^3)/64)/(2*a^10*b + a^11 + a^9*b^2) - ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - ((-b*(a + b)^3)^(1/2)*((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(40*a*b + 15*a^2 + 24*b^2)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)) + ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(3264*a*b^6 + 1152*b^7 + 3296*a^2*b^5 + 1424*a^3*b^4 + 241*a^4*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + ((-b*(a + b)^3)^(1/2)*((6*a^8*b^5 + (29*a^9*b^4)/2 + (21*a^10*b^3)/2 + 2*a^11*b^2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(40*a*b + 15*a^2 + 24*b^2)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(40*a*b + 15*a^2 + 24*b^2))/(16*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2))))*(-b*(a + b)^3)^(1/2)*(40*a*b + 15*a^2 + 24*b^2)*1i)/(8*f*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2))","B"
63,1,3271,144,8.605943,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}\right)}{a^3\,f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(4\,b^3+7\,a\,b^2\right)}{8\,a^2\,{\left(a+b\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,b^2+9\,a\,b\right)}{8\,a^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}","Not used",1,"atan((((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 - ((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3)/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3))/(a^3*f) - ((tan(e + f*x)^3*(7*a*b^2 + 4*b^3))/(8*a^2*(a + b)^2) + (tan(e + f*x)*(9*a*b + 4*b^2))/(8*a^2*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + (atan(((((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(8*f*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))","B"
64,1,146,124,5.106604,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\frac{1}{a+b}+\frac{25\,b\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,{\left(a+b\right)}^2}+\frac{15\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4}{8\,{\left(a+b\right)}^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(2\,b^2+2\,a\,b\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+b^2\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^5\right)}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}{{\left(a+b\right)}^{7/2}}\right)}{8\,f\,{\left(a+b\right)}^{7/2}}","Not used",1,"- (1/(a + b) + (25*b*tan(e + f*x)^2)/(8*(a + b)^2) + (15*b^2*tan(e + f*x)^4)/(8*(a + b)^3))/(f*(tan(e + f*x)^3*(2*a*b + 2*b^2) + tan(e + f*x)*(2*a*b + a^2 + b^2) + b^2*tan(e + f*x)^5)) - (15*b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(3*a*b^2 + 3*a^2*b + a^3 + b^3))/(a + b)^(7/2)))/(8*f*(a + b)^(7/2))","B"
65,1,207,164,6.884856,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\frac{1}{3\,\left(a+b\right)}+\frac{25\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,a\,b-4\,b^2\right)}{24\,{\left(a+b\right)}^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a-4\,b\right)}{3\,{\left(a+b\right)}^2}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(3\,a\,b^2-4\,b^3\right)}{8\,{\left(a+b\right)}^4}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^7\right)}-\frac{5\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}{{\left(a+b\right)}^{9/2}}\right)\,\left(3\,a-4\,b\right)}{8\,f\,{\left(a+b\right)}^{9/2}}","Not used",1,"- (1/(3*(a + b)) + (25*tan(e + f*x)^4*(3*a*b - 4*b^2))/(24*(a + b)^3) + (tan(e + f*x)^2*(3*a - 4*b))/(3*(a + b)^2) + (5*tan(e + f*x)^6*(3*a*b^2 - 4*b^3))/(8*(a + b)^4))/(f*(tan(e + f*x)^3*(2*a*b + a^2 + b^2) + tan(e + f*x)^5*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^7)) - (5*b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2))/(a + b)^(9/2))*(3*a - 4*b))/(8*f*(a + b)^(9/2))","B"
66,1,267,242,7.489730,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^3),x)","-\frac{\frac{1}{5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(10\,a+b\right)}{15\,{\left(a+b\right)}^2}+\frac{5\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(15\,a^2\,b-40\,a\,b^2+8\,b^3\right)}{24\,{\left(a+b\right)}^4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(15\,a^2-40\,a\,b+8\,b^2\right)}{15\,{\left(a+b\right)}^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(15\,a^2\,b^2-40\,a\,b^3+8\,b^4\right)}{8\,{\left(a+b\right)}^5}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^9\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)}{{\left(a+b\right)}^{11/2}}\right)\,\left(15\,a^2-40\,a\,b+8\,b^2\right)}{8\,f\,{\left(a+b\right)}^{11/2}}","Not used",1,"- (1/(5*(a + b)) + (tan(e + f*x)^2*(10*a + b))/(15*(a + b)^2) + (5*tan(e + f*x)^6*(15*a^2*b - 40*a*b^2 + 8*b^3))/(24*(a + b)^4) + (tan(e + f*x)^4*(15*a^2 - 40*a*b + 8*b^2))/(15*(a + b)^3) + (tan(e + f*x)^8*(8*b^4 - 40*a*b^3 + 15*a^2*b^2))/(8*(a + b)^5))/(f*(tan(e + f*x)^5*(2*a*b + a^2 + b^2) + tan(e + f*x)^7*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^9)) - (b^(1/2)*atan((b^(1/2)*tan(e + f*x)*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2))/(a + b)^(11/2))*(15*a^2 - 40*a*b + 8*b^2))/(8*f*(a + b)^(11/2))","B"
67,0,-1,139,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\sin\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
68,0,-1,100,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\sin\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
69,1,87,66,6.767708,"\text{Not used}","int(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2),x)","-\frac{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{f}-\frac{\sqrt{b}\,\mathrm{asin}\left(\frac{\sqrt{b}\,1{}\mathrm{i}}{\sqrt{a}\,\cos\left(e+f\,x\right)}\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}\,1{}\mathrm{i}}{\sqrt{a}\,f\,\sqrt{\frac{b}{a\,{\cos\left(e+f\,x\right)}^2}+1}}","Not used",1,"- (cos(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2))/f - (b^(1/2)*asin((b^(1/2)*1i)/(a^(1/2)*cos(e + f*x)))*(a + b/cos(e + f*x)^2)^(1/2)*1i)/(a^(1/2)*f*(b/(a*cos(e + f*x)^2) + 1)^(1/2))","B"
70,0,-1,82,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x),x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x), x)","F"
71,0,-1,124,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^3,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^3, x)","F"
72,0,-1,183,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^5,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\sin\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^5, x)","F"
73,0,-1,240,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\sin\left(e+f\,x\right)}^6\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
74,0,-1,181,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\sin\left(e+f\,x\right)}^4\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
75,0,-1,123,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\sin\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
76,0,-1,79,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2),x)","\int \sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2), x)","F"
77,0,-1,68,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^2,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^2, x)","F"
78,0,-1,105,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^4,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^4, x)","F"
79,0,-1,149,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^6,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\sin\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/sin(e + f*x)^6, x)","F"
80,0,-1,196,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\sin\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
81,0,-1,162,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\sin\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
82,1,61,100,6.111457,"\text{Not used}","int(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2),x)","-\frac{\cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b}{a\,{\cos\left(e+f\,x\right)}^2}\right)}{f\,{\left(\frac{b}{a\,{\cos\left(e+f\,x\right)}^2}+1\right)}^{3/2}}","Not used",1,"-(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -b/(a*cos(e + f*x)^2)))/(f*(b/(a*cos(e + f*x)^2) + 1)^(3/2))","B"
83,0,-1,122,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x),x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x), x)","F"
84,0,-1,161,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^3,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^3, x)","F"
85,0,-1,218,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^5,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^5, x)","F"
86,0,-1,298,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\sin\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
87,0,-1,217,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
88,0,-1,161,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
89,0,-1,118,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2),x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2), x)","F"
90,0,-1,105,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^2,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^2, x)","F"
91,0,-1,172,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^4,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^4, x)","F"
92,0,-1,209,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^6,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/sin(e + f*x)^6, x)","F"
93,0,-1,123,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
94,0,-1,74,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
95,1,46,30,5.383936,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2),x)","-\frac{\cos\left(e+f\,x\right)\,\sqrt{\frac{a+2\,b+a\,\cos\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{a\,f}","Not used",1,"-(cos(e + f*x)*((a + 2*b + a*cos(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(a*f)","B"
96,0,-1,43,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
97,0,-1,87,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
98,0,-1,138,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
99,0,-1,193,0.000000,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^6}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
100,0,-1,135,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
101,0,-1,85,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
102,0,-1,39,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
103,1,74,33,4.646363,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2)),x)","-\frac{\left(2\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\right)\,\sqrt{\frac{a+2\,b+a\,\cos\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{2\,f\,{\sin\left(2\,e+2\,f\,x\right)}^2\,\left(a+b\right)}","Not used",1,"-((2*sin(2*e + 2*f*x) + sin(4*e + 4*f*x))*((a + 2*b + a*cos(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(2*f*sin(2*e + 2*f*x)^2*(a + b))","B"
104,1,123,78,9.921962,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2)),x)","-\frac{2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(a\,1{}\mathrm{i}-a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,4{}\mathrm{i}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}-b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}\right)}{3\,f\,{\left(a+b\right)}^2\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)}^3}","Not used",1,"-(2*(exp(e*2i + f*x*2i) + 1)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(a*1i - a*exp(e*2i + f*x*2i)*4i + a*exp(e*4i + f*x*4i)*1i - b*exp(e*2i + f*x*2i)*2i))/(3*f*(a + b)^2*(exp(e*2i + f*x*2i) - 1)^3)","B"
105,1,723,132,15.145497,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2)),x)","\frac{\left(\frac{32\,a+16\,b}{5\,f\,\left(6\,a+6\,b\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{32\,a+80\,b}{5\,f\,\left(6\,a+6\,b\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)}^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(\frac{a\,\left(2\,a+b\right)\,32{}\mathrm{i}}{15\,f\,{\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}^2\,\left(8\,a+8\,b\right)}+\frac{a\,\left(2\,a+3\,b\right)\,32{}\mathrm{i}}{15\,f\,{\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}^2\,\left(8\,a+8\,b\right)}\right)\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)}^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)\,\left(\frac{96\,a+32\,b}{5\,f\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(16\,a+16\,b\right)}+\frac{160\,a+160\,b}{5\,f\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(16\,a+16\,b\right)}+\frac{256\,a+320\,b}{5\,f\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(16\,a+16\,b\right)}\right)}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)}^4\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)\,32{}\mathrm{i}}{f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)}^5\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\left(10\,a+10\,b\right)}-\frac{8\,a^2\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{15\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,{\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}^3}","Not used",1,"(((32*a + 16*b)/(5*f*(6*a + 6*b)*(a*1i + b*1i)) + (32*a + 80*b)/(5*f*(6*a + 6*b)*(a*1i + b*1i)))*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/((exp(e*2i + f*x*2i) - 1)^3*(exp(e*2i + f*x*2i) + 1)) - ((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*((a*(2*a + b)*32i)/(15*f*(a*1i + b*1i)^2*(8*a + 8*b)) + (a*(2*a + 3*b)*32i)/(15*f*(a*1i + b*1i)^2*(8*a + 8*b)))*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/((exp(e*2i + f*x*2i) - 1)^2*(exp(e*2i + f*x*2i) + 1)) + ((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1)*((96*a + 32*b)/(5*f*(a*1i + b*1i)*(16*a + 16*b)) + (160*a + 160*b)/(5*f*(a*1i + b*1i)*(16*a + 16*b)) + (256*a + 320*b)/(5*f*(a*1i + b*1i)*(16*a + 16*b))))/((exp(e*2i + f*x*2i) - 1)^4*(exp(e*2i + f*x*2i) + 1)) - ((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1)*32i)/(f*(exp(e*2i + f*x*2i) - 1)^5*(exp(e*2i + f*x*2i) + 1)*(10*a + 10*b)) - (8*a^2*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/(15*f*(exp(e*2i + f*x*2i) - 1)*(exp(e*2i + f*x*2i) + 1)*(a*1i + b*1i)^3)","B"
106,0,-1,171,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
107,0,-1,114,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
108,1,155,62,10.868733,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2),x)","-\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(a+2\,a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+8\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}{2\,a^2\,f\,\left(a+2\,a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+4\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}","Not used",1,"-(exp(- e*1i - f*x*1i)*(exp(e*2i + f*x*2i) + 1)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(a + 2*a*exp(e*2i + f*x*2i) + a*exp(e*4i + f*x*4i) + 8*b*exp(e*2i + f*x*2i)))/(2*a^2*f*(a + 2*a*exp(e*2i + f*x*2i) + a*exp(e*4i + f*x*4i) + 4*b*exp(e*2i + f*x*2i)))","B"
109,0,-1,80,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
110,0,-1,126,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
111,0,-1,177,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
112,0,-1,242,0.000000,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
113,0,-1,175,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
114,0,-1,121,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
115,0,-1,77,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
116,1,2151,68,12.121618,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2)),x)","-\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(\frac{\left(a+4\,b\right)\,\left(\frac{\left(a+4\,b\right)\,\left(\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}-\frac{\left({\left(a+3\,b\right)}^3-\frac{\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}+\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}+\frac{\left(a+4\,b\right)\,\left(\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}+\frac{\left({\left(a+3\,b\right)}^3-\frac{\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}+\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,1{}\mathrm{i}}{4\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(-\frac{\left(a+4\,b\right)\,\left(\frac{\left(a+4\,b\right)\,\left(\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}-\frac{\left({\left(a+3\,b\right)}^3-\frac{\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}+\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}+\frac{\left({\left(a+3\,b\right)}^3-\frac{\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}+\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{4\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)-\frac{\left(a+4\,b\right)\,\left(\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{a}+\frac{\left({\left(a+3\,b\right)}^3-\frac{\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,1{}\mathrm{i}}{4\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}+\frac{\left(\frac{a^2\,\left(a+3\,b\right)\,\left(a\,\left(a-b\right)-{\left(a+3\,b\right)}^2\right)}{a^2+b\,a}+\frac{a\,{\left(a+3\,b\right)}^2\,\left(a\,\left(a+3\,b\right)-a\,\left(a+4\,b\right)\right)}{a^2+b\,a}\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2\,b+a\,b^2\right)\,\left(a+3\,b\right)}-\frac{a^3\,\left(a+3\,b\right)\,3{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{a^2\,\left(a+3\,b\right)\,\left(a+4\,b\right)\,1{}\mathrm{i}}{8\,f\,\left(a^2+b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)}{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\left(a-a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(a+4\,b\right)-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(a+4\,b\right)\right)}","Not used",1,"-((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1)*(exp(e*4i + f*x*4i)*(((a + 4*b)*(((a + 4*b)*((((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a - (((a + 3*b)^3 - ((a + 3*b)*(a*(a - b) - (a + 3*b)^2)*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) + (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a + ((a + 4*b)*((((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a + (((a + 3*b)^3 - ((a + 3*b)*(a*(a - b) - (a + 3*b)^2)*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) + (((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*1i)/(4*f*(a*b + a^2)*(a*b^2 + a^2*b))) + exp(e*2i + f*x*2i)*((((a + 3*b)^3 - ((a + 3*b)*(a*(a - b) - (a + 3*b)^2)*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - ((a + 4*b)*(((a + 4*b)*((((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a - (((a + 3*b)^3 - ((a + 3*b)*(a*(a - b) - (a + 3*b)^2)*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) + (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a + (((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(4*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))) - ((a + 4*b)*((((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) + (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/a + (((a + 3*b)^3 - ((a + 3*b)*(a*(a - b) - (a + 3*b)^2)*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*1i)/(4*f*(a*b^2 + a^2*b)*(a + 3*b)) + (((a^2*(a + 3*b)*(a*(a - b) - (a + 3*b)^2))/(a*b + a^2) + (a*(a + 3*b)^2*(a*(a + 3*b) - a*(a + 4*b)))/(a*b + a^2))*3i)/(8*f*(a*b^2 + a^2*b)*(a + 3*b)) - (a^3*(a + 3*b)*3i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b)) - (a^2*(a + 3*b)*(a + 4*b)*1i)/(8*f*(a*b + a^2)*(a*b^2 + a^2*b))))/((exp(e*2i + f*x*2i) + 1)*(a - a*exp(e*6i + f*x*6i) + exp(e*2i + f*x*2i)*(a + 4*b) - exp(e*4i + f*x*4i)*(a + 4*b)))","B"
117,1,124682,123,27.528313,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2)),x)","-\frac{\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,32{}\mathrm{i}}{24\,a^2\,f+24\,b^2\,f+48\,a\,b\,f-48\,a^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+48\,a^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-24\,a^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-48\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+48\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-24\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-96\,a\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+96\,a\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-48\,a\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{5\,a\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}}{3\,\left(a^3\,f\,1{}\mathrm{i}+b^3\,f\,1{}\mathrm{i}+a\,b^2\,f\,3{}\mathrm{i}+a^2\,b\,f\,3{}\mathrm{i}-a^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-a\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a^2\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}\right)}-\frac{5\,b\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}}{3\,\left(a^3\,f\,1{}\mathrm{i}+b^3\,f\,1{}\mathrm{i}+a\,b^2\,f\,3{}\mathrm{i}+a^2\,b\,f\,3{}\mathrm{i}-a^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-a\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a^2\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}\right)}-\frac{a^8\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1{}\mathrm{i}}{4\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^2\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,128{}\mathrm{i}}{3\,\left(32\,a^4\,f+32\,b^4\,f+192\,a^2\,b^2\,f+128\,a\,b^3\,f+128\,a^3\,b\,f-32\,a^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,a^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,a^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\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8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,64{}\mathrm{i}}{24\,a^2\,f+24\,b^2\,f+48\,a\,b\,f-48\,a^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+48\,a^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-24\,a^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-48\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i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6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^4\,b^5\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1357{}\mathrm{i}}{6\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^4\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1207{}\mathrm{i}}{6\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^6\,b^3\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1135{}\mathrm{i}}{12\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^7\,b^2\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,265{}\mathrm{i}}{12\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a\,b^6\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,45{}\mathrm{i}}{4\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e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t(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^2\,b^6\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,6{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^3\,b^5\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,20{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^4\,b^4\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,91{}\mathrm{i}}{4\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^3\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,25{}\mathrm{i}}{3\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^6\,b^2\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,11{}\mathrm{i}}{6\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x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f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^3\,b^4\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,231{}\mathrm{i}}{4\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^3\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,125{}\mathrm{i}}{3\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^2\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,193{}\mathrm{i}}{12\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,b\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,2{}\mathrm{i}}{3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6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rac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1{}\mathrm{i}}{3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^7\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,3{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\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x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{b^7\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,261{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{b^7\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,171{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{b^7\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,27{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{10\,a\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}}{3\,\left(a^3\,f\,1{}\mathrm{i}+b^3\,f\,1{}\mathrm{i}+a\,b^2\,f\,3{}\mathrm{i}+a^2\,b\,f\,3{}\mathrm{i}-a^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-a\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a^2\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}\right)}-\frac{5\,a\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}}{3\,\left(a^3\,f\,1{}\mathrm{i}+b^3\,f\,1{}\mathrm{i}+a\,b^2\,f\,3{}\mathrm{i}+a^2\,b\,f\,3{}\mathrm{i}-a^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-a\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a^2\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}\right)}-\frac{10\,b\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}}{3\,\left(a^3\,f\,1{}\mathrm{i}+b^3\,f\,1{}\mathrm{i}+a\,b^2\,f\,3{}\mathrm{i}+a^2\,b\,f\,3{}\mathrm{i}-a^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-a\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a^2\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}\right)}-\frac{5\,b\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\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ft(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^8\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1{}\mathrm{i}}{4\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a\,b\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,512{}\mathrm{i}}{3\,\left(32\,a^4\,f+32\,b^4\,f+192\,a^2\,b^2\,f+128\,a\,b^3\,f+128\,a^3\,b\,f-32\,a^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,a^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,a^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-128\,a\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-128\,a^3\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-128\,a\,b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)-128\,a^3\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+128\,a\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)+128\,a^3\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-192\,a^2\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-192\,a^2\,b^2\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+192\,a^2\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a\,b\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,256{}\mathrm{i}}{3\,\left(32\,a^4\,f+32\,b^4\,f+192\,a^2\,b^2\,f+128\,a\,b^3\,f+128\,a^3\,b\,f-32\,a^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,a^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,a^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-32\,b^4\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+32\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-128\,a\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-128\,a^3\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-128\,a\,b^3\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)-128\,a^3\,b\,f\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)+128\,a\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)+128\,a^3\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-192\,a^2\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-192\,a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right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^7\,b\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,27{}\mathrm{i}}{2\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a\,b^7\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,24{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^7\,b\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,55{}\mathrm{i}}{6\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left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ight)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^3\,b^6\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,13109{}\mathrm{i}}{6\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^4\,b^5\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,7504{}\mathrm{i}}{3\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left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a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^7\,b^2\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,273{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^2\,b^7\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,337{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^3\,b^6\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1724{}\mathrm{i}}{3\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\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t(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^4\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1535{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^6\,b^3\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,2131{}\mathrm{i}}{6\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^7\,b^2\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,253{}\mathrm{i}}{3\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\righ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ht)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^3\,b^6\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1209{}\mathrm{i}}{4\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^5\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,917{}\mathrm{i}}{6\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^4\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,68{}\mathrm{i}}{3\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\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in\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^7\,b^2\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,217{}\mathrm{i}}{12\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a\,b^6\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,261{}\mathrm{i}}{3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^6\,b\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,85{}\mathrm{i}}{6\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}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ight)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^6\,b\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,91{}\mathrm{i}}{6\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a\,b^6\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,261{}\mathrm{i}}{4\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^6\,b\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,11{}\mathrm{i}}{3\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^2\,b^6\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,98{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^3\,b^5\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,299{}\mathrm{i}}{2\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^4\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,286{}\mathrm{i}}{3\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^3\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,8{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^6\,b^2\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,19{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+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\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^3\,b^5\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,203{}\mathrm{i}}{2\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^4\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,121{}\mathrm{i}}{6\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^3\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)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)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^2\,b^6\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,98{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^3\,b^5\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,331{}\mathrm{i}}{2\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}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t)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^3\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,92{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^6\,b^2\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,37{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a^2\,b^6\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,92{}\mathrm{i}}{a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right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)\right)}-\frac{a^4\,b^4\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,409{}\mathrm{i}}{4\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^5\,b^3\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,125{}\mathrm{i}}{3\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^6\,b^2\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,65{}\mathrm{i}}{6\,\left(a^3\,b^7\,f+6\,a^4\,b^6\,f+15\,a^5\,b^5\,f+20\,a^6\,b^4\,f+15\,a^7\,b^3\,f+6\,a^8\,b^2\,f+a^9\,b\,f+2\,a^9\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^9\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^9\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+4\,a^2\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+26\,a^3\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+72\,a^4\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+110\,a^5\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+100\,a^6\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+54\,a^7\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+16\,a^8\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-4\,a^2\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-26\,a^3\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-72\,a^4\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-110\,a^5\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-100\,a^6\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-54\,a^7\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-16\,a^8\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^3\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^4\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^5\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-20\,a^6\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-15\,a^7\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-6\,a^8\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^2\,b^5\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,957{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\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athrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^3\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,519{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^2\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,83{}\mathrm{i}}{3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^2\,b^5\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1923{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^3\,b^4\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,5303{}\mathrm{i}}{6\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\lef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{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^2\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,839{}\mathrm{i}}{6\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^2\,b^5\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1299{}\mathrm{i}}{2\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^3\,b^4\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,1805{}\mathrm{i}}{3\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\r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\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^2\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,95{}\mathrm{i}}{3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a^2\,b^5\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,126{}\mathrm{i}}{3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\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ight)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^4\,b^3\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,421{}\mathrm{i}}{6\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-40\,a^5\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-25\,a^6\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-8\,a^7\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}+\frac{a^5\,b^2\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,265{}\mathrm{i}}{12\,\left(3\,a^2\,b^7\,f+16\,a^3\,b^6\,f+35\,a^4\,b^5\,f+40\,a^5\,b^4\,f+25\,a^6\,b^3\,f+8\,a^7\,b^2\,f+a^8\,b\,f+12\,a\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+2\,a^8\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-2\,a^8\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^8\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+70\,a^2\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+172\,a^3\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+230\,a^4\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+180\,a^5\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^6\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+20\,a^7\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-70\,a^2\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-172\,a^3\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-230\,a^4\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-180\,a^5\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^6\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-20\,a^7\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^2\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-16\,a^3\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-35\,a^4\,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n\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,b\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,8{}\mathrm{i}}{3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a\,b^8\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,405{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,b\,\left(\cos\left(4\,f\,x\right)+\sin\left(4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(4\,e\right)+\sin\left(4\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,12{}\mathrm{i}}{3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}-\frac{a\,b^8\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,27{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,b\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,8{}\mathrm{i}}{3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}+\frac{a\,b^8\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,117{}\mathrm{i}}{2\,\left(3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\right)}-\frac{a^8\,b\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)\,\sqrt{a+\frac{b}{\frac{\left(\cos\left(2\,f\,x\right)-\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)-\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)}{4}+\frac{1}{2}}}\,2{}\mathrm{i}}{3\,a^3\,b^8\,f+19\,a^4\,b^7\,f+51\,a^5\,b^6\,f+75\,a^6\,b^5\,f+65\,a^7\,b^4\,f+33\,a^8\,b^3\,f+9\,a^9\,b^2\,f+a^{10}\,b\,f+2\,a^{10}\,b\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-2\,a^{10}\,b\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-a^{10}\,b\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)+12\,a^2\,b^9\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+82\,a^3\,b^8\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+242\,a^4\,b^7\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+402\,a^5\,b^6\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+410\,a^6\,b^5\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+262\,a^7\,b^4\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+102\,a^8\,b^3\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)+22\,a^9\,b^2\,f\,\left(\cos\left(2\,f\,x\right)+\sin\left(2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e\right)+\sin\left(2\,e\right)\,1{}\mathrm{i}\right)-12\,a^2\,b^9\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-82\,a^3\,b^8\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-242\,a^4\,b^7\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-402\,a^5\,b^6\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-410\,a^6\,b^5\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-262\,a^7\,b^4\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-102\,a^8\,b^3\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-22\,a^9\,b^2\,f\,\left(\cos\left(6\,f\,x\right)+\sin\left(6\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(6\,e\right)+\sin\left(6\,e\right)\,1{}\mathrm{i}\right)-3\,a^3\,b^8\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-19\,a^4\,b^7\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-51\,a^5\,b^6\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-75\,a^6\,b^5\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-65\,a^7\,b^4\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-33\,a^8\,b^3\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)-9\,a^9\,b^2\,f\,\left(\cos\left(8\,f\,x\right)+\sin\left(8\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(8\,e\right)+\sin\left(8\,e\right)\,1{}\mathrm{i}\right)}","Not used",1,"(a^2*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*128i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) - (5*a*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (5*b*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (a^8*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(4*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - ((a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*32i)/(24*a^2*f + 24*b^2*f + 48*a*b*f - 48*a^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*a^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*a^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 48*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 96*a*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 96*a*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 48*a*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (b^2*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*128i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a^7*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*64i)/(24*a^2*f + 24*b^2*f + 48*a*b*f - 48*a^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*a^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*a^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 48*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 96*a*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 96*a*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 48*a*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - ((cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*32i)/(24*a^2*f + 24*b^2*f + 48*a*b*f - 48*a^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*a^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*a^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 48*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 48*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 24*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 96*a*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 96*a*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 48*a*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^7*b*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*5i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^2*b^7*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*117i)/(4*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^3*b^6*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*515i)/(4*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^5*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1357i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^4*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1207i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^3*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1135i)/(12*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^7*b^2*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*265i)/(12*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^6*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*45i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^6*b*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*19i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^6*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*6i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^3*b^5*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*20i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^4*b^4*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*91i)/(4*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^3*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*25i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^2*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*11i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^5*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*81i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^3*b^4*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*231i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^3*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*125i)/(3*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^2*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*193i)/(12*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*b*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a*b*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*256i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a^2*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*256i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a^2*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*128i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (b^2*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*256i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (b^2*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*128i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a^7*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^7*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*3i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^7*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^7*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (b^7*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*117i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (b^7*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*261i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (b^7*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*171i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (b^7*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*27i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (10*a*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (5*a*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (10*b*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (5*b*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2))/(3*(a^3*f*1i + b^3*f*1i + a*b^2*f*3i + a^2*b*f*3i - a^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*1i - a*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i - a^2*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*3i)) - (a^8*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^8*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*3i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^8*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1i)/(4*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*512i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a*b*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*256i)/(3*(32*a^4*f + 32*b^4*f + 192*a^2*b^2*f + 128*a*b^3*f + 128*a^3*b*f - 32*a^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*a^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*a^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 32*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 32*b^4*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 32*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 128*a*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a^3*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 128*a*b^3*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) - 128*a^3*b*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 128*a*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) + 128*a^3*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 192*a^2*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 192*a^2*b^2*f*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i) + 192*a^2*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i))) + (a*b^7*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*24i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^7*b*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*49i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^7*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*24i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^7*b*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*27i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a*b^7*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*24i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^7*b*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*55i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a*b^7*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*24i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^7*b*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*13i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^2*b^7*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1339i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^3*b^6*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*4310i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^5*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*4999i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^4*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2249i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^3*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2641i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^7*b^2*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*277i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^2*b^7*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1030i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^3*b^6*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*13109i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^5*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*7504i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^4*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*10009i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^3*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1946i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^7*b^2*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*273i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^2*b^7*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*337i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^3*b^6*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1724i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^5*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2725i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^4*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1535i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^3*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2131i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^7*b^2*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*253i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^7*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*885i)/(4*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^3*b^6*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1209i)/(4*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^5*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*917i)/(6*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^4*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*68i)/(3*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^3*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*625i)/(12*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^7*b^2*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*217i)/(12*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^6*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*261i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^6*b*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*85i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^6*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1107i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^6*b*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*45i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^6*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*369i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^6*b*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*91i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a*b^6*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*261i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^6*b*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*11i)/(3*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^6*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*98i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^3*b^5*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*299i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^4*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*286i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^3*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*8i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^6*b^2*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*19i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^2*b^6*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*86i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^3*b^5*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*203i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^4*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*121i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^3*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*152i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^2*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*130i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^2*b^6*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*98i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^3*b^5*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*331i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^4*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*464i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^3*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*92i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^6*b^2*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*37i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^2*b^6*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*92i)/(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a^3*b^5*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*275i)/(2*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^4*b^4*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*409i)/(4*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^5*b^3*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*125i)/(3*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^6*b^2*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*65i)/(6*(a^3*b^7*f + 6*a^4*b^6*f + 15*a^5*b^5*f + 20*a^6*b^4*f + 15*a^7*b^3*f + 6*a^8*b^2*f + a^9*b*f + 2*a^9*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^9*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^9*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 4*a^2*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 26*a^3*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 72*a^4*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 110*a^5*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 100*a^6*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 54*a^7*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 16*a^8*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 4*a^2*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 26*a^3*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 72*a^4*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 110*a^5*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 100*a^6*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 54*a^7*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 16*a^8*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^3*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^4*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^5*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 20*a^6*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 15*a^7*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 6*a^8*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^5*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*957i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^3*b^4*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1397i)/(3*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^3*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*519i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^2*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*83i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^2*b^5*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1923i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^3*b^4*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*5303i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^3*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2785i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^2*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*839i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^2*b^5*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1299i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^3*b^4*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*1805i)/(3*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^3*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*633i)/(2*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^2*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*95i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^2*b^5*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*126i)/(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a^3*b^4*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*503i)/(4*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^4*b^3*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*421i)/(6*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) + (a^5*b^2*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*265i)/(12*(3*a^2*b^7*f + 16*a^3*b^6*f + 35*a^4*b^5*f + 40*a^5*b^4*f + 25*a^6*b^3*f + 8*a^7*b^2*f + a^8*b*f + 12*a*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 2*a^8*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 2*a^8*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^8*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 70*a^2*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 172*a^3*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 230*a^4*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 180*a^5*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^6*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 20*a^7*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 70*a^2*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 172*a^3*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 230*a^4*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 180*a^5*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^6*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 20*a^7*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^2*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 16*a^3*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 35*a^4*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 40*a^5*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 25*a^6*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 8*a^7*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a*b^8*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*261i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*b*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*8i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a*b^8*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*405i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*b*(cos(4*f*x) + sin(4*f*x)*1i)*(cos(4*e) + sin(4*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*12i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) - (a*b^8*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*27i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*b*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*8i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)) + (a*b^8*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*117i)/(2*(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))) - (a^8*b*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i)*(a + b/(((cos(2*f*x) - sin(2*f*x)*1i)*(cos(2*e) - sin(2*e)*1i))/4 + ((cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i))/4 + 1/2))^(1/2)*2i)/(3*a^3*b^8*f + 19*a^4*b^7*f + 51*a^5*b^6*f + 75*a^6*b^5*f + 65*a^7*b^4*f + 33*a^8*b^3*f + 9*a^9*b^2*f + a^10*b*f + 2*a^10*b*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 2*a^10*b*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - a^10*b*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) + 12*a^2*b^9*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 82*a^3*b^8*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 242*a^4*b^7*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 402*a^5*b^6*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 410*a^6*b^5*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 262*a^7*b^4*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 102*a^8*b^3*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) + 22*a^9*b^2*f*(cos(2*f*x) + sin(2*f*x)*1i)*(cos(2*e) + sin(2*e)*1i) - 12*a^2*b^9*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 82*a^3*b^8*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 242*a^4*b^7*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 402*a^5*b^6*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 410*a^6*b^5*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 262*a^7*b^4*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 102*a^8*b^3*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 22*a^9*b^2*f*(cos(6*f*x) + sin(6*f*x)*1i)*(cos(6*e) + sin(6*e)*1i) - 3*a^3*b^8*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 19*a^4*b^7*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 51*a^5*b^6*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 75*a^6*b^5*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 65*a^7*b^4*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 33*a^8*b^3*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i) - 9*a^9*b^2*f*(cos(8*f*x) + sin(8*f*x)*1i)*(cos(8*e) + sin(8*e)*1i))","B"
118,-1,-1,183,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
119,0,-1,219,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
120,0,-1,146,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
121,1,26927,97,17.230080,"\text{Not used}","int(sin(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2),x)","-{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(\frac{1}{2\,a^3\,f}+\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}}{2\,a^3\,f}\right)-\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,2{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{3\,a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{16\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{6\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,3{}\mathrm{i}}{4\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{3\,a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{16\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{a\,\left(a+2\,b\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{12\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{12\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}+\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,1{}\mathrm{i}+\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{4\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{3\,f\,\left(a^2+2\,b\,a\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a+2\,b\right)\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{48\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)}\right)\,1{}\mathrm{i}}{a}\right)\right)\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,{\left(a\,1{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}\right)}^2}+\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left({\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\left(\frac{\left(2\,a+4\,b\right)\,\left(\frac{\left(2\,a+4\,b\right)\,\left(\frac{\left(\frac{3\,a^3+30\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{\left(2\,a+4\,b\right)\,\left(a^3+8\,a^2\,b+8\,a\,b^2\right)}{48\,a^4\,b\,f\,\left(a+b\right)}\right)\,\left(2\,a+4\,b\right)}{a}+\frac{a^3+8\,a^2\,b+8\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{a^2+16\,a\,b+20\,b^2}{24\,a^2\,b\,f\,\left(a+b\right)}\right)}{a}-\frac{a+6\,b}{24\,a\,b\,f\,\left(a+b\right)}-\frac{3\,a^3+30\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}+\frac{\left(2\,a+4\,b\right)\,\left(a^3+8\,a^2\,b+8\,a\,b^2\right)}{48\,a^4\,b\,f\,\left(a+b\right)}\right)}{a}-\frac{\left(\frac{3\,a^3+30\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{\left(2\,a+4\,b\right)\,\left(a^3+8\,a^2\,b+8\,a\,b^2\right)}{48\,a^4\,b\,f\,\left(a+b\right)}\right)\,\left(2\,a+4\,b\right)}{a}-\frac{a^3+8\,a^2\,b+8\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}+\frac{a^2+16\,a\,b+20\,b^2}{24\,a^2\,b\,f\,\left(a+b\right)}+\frac{3\,a^3+40\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}\right)+{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,\left(\frac{\left(2\,a+4\,b\right)\,\left(\frac{\left(\frac{3\,a^3+30\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{\left(2\,a+4\,b\right)\,\left(a^3+8\,a^2\,b+8\,a\,b^2\right)}{48\,a^4\,b\,f\,\left(a+b\right)}\right)\,\left(2\,a+4\,b\right)}{a}+\frac{a^3+8\,a^2\,b+8\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{a^2+16\,a\,b+20\,b^2}{24\,a^2\,b\,f\,\left(a+b\right)}\right)}{a}+\frac{a^3+18\,a^2\,b+48\,a\,b^2+32\,b^3}{48\,a^3\,b\,f\,\left(a+b\right)}-\frac{a+6\,b}{24\,a\,b\,f\,\left(a+b\right)}-\frac{3\,a^3+30\,a^2\,b+32\,a\,b^2}{48\,a^3\,b\,f\,\left(a+b\right)}+\frac{\left(2\,a+4\,b\right)\,\left(a^3+8\,a^2\,b+8\,a\,b^2\right)}{48\,a^4\,b\,f\,\left(a+b\right)}\right)\right)\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\left(a+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(2\,a+4\,b\right)+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\right)}-\frac{\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left({\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\left(-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^4\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+16\,a\,b+16\,b^2\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(-a^2+a\,b+2\,b^2\right)\,1{}\mathrm{i}}{8\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(-a^2+a\,b+2\,b^2\right)}{2\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{\left(a+b\right)\,{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^4\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)-{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)}{6\,a^2\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^4\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^2+16\,a\,b+16\,b^2\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,\left(\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)}{12\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2\,1{}\mathrm{i}}{192\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)\,1{}\mathrm{i}}{192\,a^2\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\,1{}\mathrm{i}}{a}+\frac{\left(a+b\right)\,\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)}{4\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^2+44\,a\,b+44\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+8\,a\,b+8\,b^2\right)}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(5\,a^4+68\,a^3\,b+132\,a^2\,b^2+64\,a\,b^3\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(\frac{{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{4\,\left(a^2\,b+a\,b^2\right)}+\frac{a\,\left(a+2\,b\right)\,1{}\mathrm{i}}{a\,1{}\mathrm{i}+b\,2{}\mathrm{i}}\right)\,\left(a^2+16\,a\,b+16\,b^2\right)}{48\,a^3\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(-a^2+a\,b+2\,b^2\right)\,1{}\mathrm{i}}{8\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(3\,a^2+13\,a\,b+10\,b^2\right)\,1{}\mathrm{i}}{24\,a\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)\,{\left(a^2+8\,a\,b+8\,b^2\right)}^2}{192\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}-\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+14\,a\,b^2+4\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}+\frac{{\left(a+2\,b\right)}^2\,\left(a^2+8\,a\,b+8\,b^2\right)\,\left(a^3+10\,a^2\,b+46\,a\,b^2+36\,b^3\right)\,1{}\mathrm{i}}{48\,a\,b\,f\,\left(a^2+2\,b\,a\right)\,\left(a^2\,b+a\,b^2\right)\,\left(a\,1{}\mathrm{i}+b\,1{}\mathrm{i}\right)\,\left(a\,1{}\mathrm{i}+b\,2{}\mathrm{i}\right)}\right)\right)\,\left(2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+1\right)}{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\left(a\,1{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(a\,2{}\mathrm{i}+b\,4{}\mathrm{i}\right)+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}\right)}","Not used",1,"((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(exp(e*3i + f*x*3i)*(((2*a + 4*b)*(((2*a + 4*b)*((((32*a*b^2 + 30*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b)) - ((2*a + 4*b)*(8*a*b^2 + 8*a^2*b + a^3))/(48*a^4*b*f*(a + b)))*(2*a + 4*b))/a + (8*a*b^2 + 8*a^2*b + a^3)/(48*a^3*b*f*(a + b)) - (16*a*b + a^2 + 20*b^2)/(24*a^2*b*f*(a + b))))/a - (a + 6*b)/(24*a*b*f*(a + b)) - (32*a*b^2 + 30*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b)) + ((2*a + 4*b)*(8*a*b^2 + 8*a^2*b + a^3))/(48*a^4*b*f*(a + b))))/a - (((32*a*b^2 + 30*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b)) - ((2*a + 4*b)*(8*a*b^2 + 8*a^2*b + a^3))/(48*a^4*b*f*(a + b)))*(2*a + 4*b))/a - (8*a*b^2 + 8*a^2*b + a^3)/(48*a^3*b*f*(a + b)) + (16*a*b + a^2 + 20*b^2)/(24*a^2*b*f*(a + b)) + (32*a*b^2 + 40*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b))) + exp(e*1i + f*x*1i)*(((2*a + 4*b)*((((32*a*b^2 + 30*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b)) - ((2*a + 4*b)*(8*a*b^2 + 8*a^2*b + a^3))/(48*a^4*b*f*(a + b)))*(2*a + 4*b))/a + (8*a*b^2 + 8*a^2*b + a^3)/(48*a^3*b*f*(a + b)) - (16*a*b + a^2 + 20*b^2)/(24*a^2*b*f*(a + b))))/a + (48*a*b^2 + 18*a^2*b + a^3 + 32*b^3)/(48*a^3*b*f*(a + b)) - (a + 6*b)/(24*a*b*f*(a + b)) - (32*a*b^2 + 30*a^2*b + 3*a^3)/(48*a^3*b*f*(a + b)) + ((2*a + 4*b)*(8*a*b^2 + 8*a^2*b + a^3))/(48*a^4*b*f*(a + b))))*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/((exp(e*2i + f*x*2i) + 1)*(a + exp(e*2i + f*x*2i)*(2*a + 4*b) + a*exp(e*4i + f*x*4i))) - ((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(exp(e*1i + f*x*1i)*(((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*2i)/(3*f*(2*a*b + a^2)) + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a*2i + b*4i)*(((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (3*a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(16*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b))) + exp(e*3i + f*x*3i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a*2i + b*4i)*(((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*3i)/(4*f*(2*a*b + a^2)) + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a*2i + b*4i)*(((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(12*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + ((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)) + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(12*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a*1i + ((8*a*b + a^2 + 8*b^2)^2*1i)/(4*(a*b^2 + a^2*b)))*1i)/(3*f*(2*a*b + a^2)) + (3*a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(16*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a - ((a + 2*b)*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)*1i)/(48*f*(2*a*b + a^2)*(a*b^2 + a^2*b)))*1i)/a + (a*(a + 2*b)*(8*a*b + a^2 + 8*b^2))/(6*f*(2*a*b + a^2)*(a*b^2 + a^2*b))))*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/((exp(e*2i + f*x*2i) + 1)*(a*1i + exp(e*2i + f*x*2i)*(a*2i + b*4i) + a*exp(e*4i + f*x*4i)*1i)^2) - exp(- e*1i - f*x*1i)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(1/(2*a^3*f) + exp(e*2i + f*x*2i)/(2*a^3*f)) - ((a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(exp(e*3i + f*x*3i)*(((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(44*a*b + 5*a^2 + 44*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(44*a*b + 5*a^2 + 44*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^4*(8*a*b + a^2 + 8*b^2)*(16*a*b + a^2 + 16*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(44*a*b + 5*a^2 + 44*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(16*a*b + a^2 + 16*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(a*b - a^2 + 2*b^2)*1i)/(8*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(a*b - a^2 + 2*b^2))/(2*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + b)*(a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*1i)/(16*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^4*(8*a*b + a^2 + 8*b^2)*(16*a*b + a^2 + 16*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i))) - exp(e*1i + f*x*1i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(44*a*b + 5*a^2 + 44*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - ((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(13*a*b + 3*a^2 + 10*b^2))/(6*a^2*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(44*a*b + 5*a^2 + 44*b^2)*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^4*(8*a*b + a^2 + 8*b^2)*(16*a*b + a^2 + 16*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a*2i + b*4i)*(((a*2i + b*4i)*((((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3))/(12*a^2*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)^2*1i)/(192*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2)*1i)/(192*a^2*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)))*1i)/a + ((a + b)*((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i)))/(4*a*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(44*a*b + 5*a^2 + 44*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(8*a*b + a^2 + 8*b^2))/(48*a*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + (((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(64*a*b^3 + 68*a^3*b + 5*a^4 + 132*a^2*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) - ((a + 2*b)^2*((8*a*b + a^2 + 8*b^2)^2/(4*(a*b^2 + a^2*b)) + (a*(a + 2*b)*1i)/(a*1i + b*2i))*(16*a*b + a^2 + 16*b^2))/(48*a^3*b*f*(2*a*b + a^2)*(a*1i + b*1i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(a*b - a^2 + 2*b^2)*1i)/(8*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(13*a*b + 3*a^2 + 10*b^2)*1i)/(24*a*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(a*2i + b*4i)*(8*a*b + a^2 + 8*b^2)^2)/(192*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) - ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(14*a*b^2 + 10*a^2*b + a^3 + 4*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i)) + ((a + 2*b)^2*(8*a*b + a^2 + 8*b^2)*(46*a*b^2 + 10*a^2*b + a^3 + 36*b^3)*1i)/(48*a*b*f*(2*a*b + a^2)*(a*b^2 + a^2*b)*(a*1i + b*1i)*(a*1i + b*2i))))*(2*exp(e*2i + f*x*2i) + exp(e*4i + f*x*4i) + 1))/((exp(e*2i + f*x*2i) + 1)*(a*1i + exp(e*2i + f*x*2i)*(a*2i + b*4i) + a*exp(e*4i + f*x*4i)*1i))","B"
122,0,-1,127,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
123,0,-1,171,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
124,-1,-1,234,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
125,0,-1,288,0.000000,"\text{Not used}","int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
126,0,-1,227,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
127,0,-1,167,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
128,0,-1,125,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
129,1,336,106,16.299748,"\text{Not used}","int(1/(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^(5/2)),x)","-\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(-a\,b\,6{}\mathrm{i}+a^2\,3{}\mathrm{i}-b^2\,1{}\mathrm{i}+a^2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,12{}\mathrm{i}+a^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,18{}\mathrm{i}+a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,12{}\mathrm{i}+a^2\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,3{}\mathrm{i}-b^2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,20{}\mathrm{i}+b^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,90{}\mathrm{i}-b^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,20{}\mathrm{i}-b^2\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,1{}\mathrm{i}+a\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,24{}\mathrm{i}+a\,b\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,60{}\mathrm{i}+a\,b\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,24{}\mathrm{i}-a\,b\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,6{}\mathrm{i}\right)}{3\,f\,{\left(a+b\right)}^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-1\right)\,{\left(a+2\,a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+4\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}^2}","Not used",1,"-((exp(e*2i + f*x*2i) + 1)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(a^2*3i - a*b*6i - b^2*1i + a^2*exp(e*2i + f*x*2i)*12i + a^2*exp(e*4i + f*x*4i)*18i + a^2*exp(e*6i + f*x*6i)*12i + a^2*exp(e*8i + f*x*8i)*3i - b^2*exp(e*2i + f*x*2i)*20i + b^2*exp(e*4i + f*x*4i)*90i - b^2*exp(e*6i + f*x*6i)*20i - b^2*exp(e*8i + f*x*8i)*1i + a*b*exp(e*2i + f*x*2i)*24i + a*b*exp(e*4i + f*x*4i)*60i + a*b*exp(e*6i + f*x*6i)*24i - a*b*exp(e*8i + f*x*8i)*6i))/(3*f*(a + b)^3*(exp(e*2i + f*x*2i) - 1)*(a + 2*a*exp(e*2i + f*x*2i) + a*exp(e*4i + f*x*4i) + 4*b*exp(e*2i + f*x*2i))^2)","B"
130,-1,-1,158,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
131,-1,-1,226,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^6*(a + b/cos(e + f*x)^2)^(5/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
132,0,-1,123,0.000000,"\text{Not used}","int((d*sin(e + f*x))^m*(a + b/cos(e + f*x)^2)^p,x)","\int {\left(d\,\sin\left(e+f\,x\right)\right)}^m\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int((d*sin(e + f*x))^m*(a + b/cos(e + f*x)^2)^p, x)","F"
133,0,-1,182,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^p,x)","\int {\sin\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(sin(e + f*x)^5*(a + b/cos(e + f*x)^2)^p, x)","F"
134,0,-1,117,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^p,x)","\int {\sin\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(sin(e + f*x)^3*(a + b/cos(e + f*x)^2)^p, x)","F"
135,1,79,68,4.918623,"\text{Not used}","int(sin(e + f*x)*(a + b/cos(e + f*x)^2)^p,x)","\frac{\cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2}-p,-p;\ \frac{3}{2}-p;\ -\frac{a\,{\cos\left(e+f\,x\right)}^2}{b}\right)}{f\,\left(2\,p-1\right)\,{\left(\frac{a\,{\cos\left(e+f\,x\right)}^2}{b}+1\right)}^p}","Not used",1,"(cos(e + f*x)*(a + b/cos(e + f*x)^2)^p*hypergeom([1/2 - p, -p], 3/2 - p, -(a*cos(e + f*x)^2)/b))/(f*(2*p - 1)*((a*cos(e + f*x)^2)/b + 1)^p)","B"
136,0,-1,77,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/sin(e + f*x),x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/sin(e + f*x), x)","F"
137,0,-1,81,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^3,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^3, x)","F"
138,0,-1,88,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^p,x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(sin(e + f*x)^4*(a + b/cos(e + f*x)^2)^p, x)","F"
139,0,-1,88,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^p,x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(sin(e + f*x)^2*(a + b/cos(e + f*x)^2)^p, x)","F"
140,0,-1,83,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p,x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p, x)","F"
141,0,-1,73,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^2,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^2, x)","F"
142,0,-1,128,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^4,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^4, x)","F"
143,0,-1,192,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^6,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\sin\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/sin(e + f*x)^6, x)","F"
144,1,61,74,4.618626,"\text{Not used}","int((a - a/cos(c + d*x)^2)^4,x)","\frac{\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^7}{7}-\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+\frac{a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}-a^4\,\mathrm{tan}\left(c+d\,x\right)+d\,x\,a^4}{d}","Not used",1,"((a^4*tan(c + d*x)^3)/3 - a^4*tan(c + d*x) - (a^4*tan(c + d*x)^5)/5 + (a^4*tan(c + d*x)^7)/7 + a^4*d*x)/d","B"
145,1,49,56,4.468157,"\text{Not used}","int((a - a/cos(c + d*x)^2)^3,x)","-\frac{\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}-\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+a^3\,\mathrm{tan}\left(c+d\,x\right)-d\,x\,a^3}{d}","Not used",1,"-(a^3*tan(c + d*x) - (a^3*tan(c + d*x)^3)/3 + (a^3*tan(c + d*x)^5)/5 - a^3*d*x)/d","B"
146,1,33,38,4.395743,"\text{Not used}","int((a - a/cos(c + d*x)^2)^2,x)","a^2\,x-\frac{a^2\,\left(3\,\mathrm{tan}\left(c+d\,x\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\right)}{3\,d}","Not used",1,"a^2*x - (a^2*(3*tan(c + d*x) - tan(c + d*x)^3))/(3*d)","B"
147,1,16,16,4.442408,"\text{Not used}","int(a - a/cos(c + d*x)^2,x)","a\,x-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"a*x - (a*tan(c + d*x))/d","B"
148,1,19,19,4.703989,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2),x)","\frac{x}{a}+\frac{\mathrm{cot}\left(c+d\,x\right)}{a\,d}","Not used",1,"x/a + cot(c + d*x)/(a*d)","B"
149,1,31,37,4.410115,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^2,x)","\frac{x}{a^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2-\frac{1}{3}}{a^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^3}","Not used",1,"x/a^2 + (tan(c + d*x)^2 - 1/3)/(a^2*d*tan(c + d*x)^3)","B"
150,1,41,55,4.538385,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^3,x)","\frac{x}{a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{3}+\frac{1}{5}}{a^3\,d\,{\mathrm{tan}\left(c+d\,x\right)}^5}","Not used",1,"x/a^3 + (tan(c + d*x)^4 - tan(c + d*x)^2/3 + 1/5)/(a^3*d*tan(c + d*x)^5)","B"
151,1,51,73,4.926109,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^4,x)","\frac{x}{a^4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^6-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{5}-\frac{1}{7}}{a^4\,d\,{\mathrm{tan}\left(c+d\,x\right)}^7}","Not used",1,"x/a^4 + (tan(c + d*x)^2/5 - tan(c + d*x)^4/3 + tan(c + d*x)^6 - 1/7)/(a^4*d*tan(c + d*x)^7)","B"
152,1,102,98,4.654856,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x)^5,x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(\frac{3\,a}{8}+\frac{5\,b}{16}\right)}{f}-\frac{\left(\frac{3\,a}{8}+\frac{5\,b}{16}\right)\,{\sin\left(e+f\,x\right)}^5+\left(-a-\frac{5\,b}{6}\right)\,{\sin\left(e+f\,x\right)}^3+\left(\frac{5\,a}{8}+\frac{11\,b}{16}\right)\,\sin\left(e+f\,x\right)}{f\,\left({\sin\left(e+f\,x\right)}^6-3\,{\sin\left(e+f\,x\right)}^4+3\,{\sin\left(e+f\,x\right)}^2-1\right)}","Not used",1,"(atanh(sin(e + f*x))*((3*a)/8 + (5*b)/16))/f - (sin(e + f*x)^5*((3*a)/8 + (5*b)/16) + sin(e + f*x)*((5*a)/8 + (11*b)/16) - sin(e + f*x)^3*(a + (5*b)/6))/(f*(3*sin(e + f*x)^2 - 3*sin(e + f*x)^4 + sin(e + f*x)^6 - 1))","B"
153,1,78,70,0.142895,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x)^3,x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(\frac{a}{2}+\frac{3\,b}{8}\right)}{f}-\frac{{\sin\left(e+f\,x\right)}^3\,\left(\frac{a}{2}+\frac{3\,b}{8}\right)-\sin\left(e+f\,x\right)\,\left(\frac{a}{2}+\frac{5\,b}{8}\right)}{f\,\left({\sin\left(e+f\,x\right)}^4-2\,{\sin\left(e+f\,x\right)}^2+1\right)}","Not used",1,"(atanh(sin(e + f*x))*(a/2 + (3*b)/8))/f - (sin(e + f*x)^3*(a/2 + (3*b)/8) - sin(e + f*x)*(a/2 + (5*b)/8))/(f*(sin(e + f*x)^4 - 2*sin(e + f*x)^2 + 1))","B"
154,1,41,40,4.409639,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(a+\frac{b}{2}\right)}{f}-\frac{b\,\sin\left(e+f\,x\right)}{2\,f\,\left({\sin\left(e+f\,x\right)}^2-1\right)}","Not used",1,"(atanh(sin(e + f*x))*(a + b/2))/f - (b*sin(e + f*x))/(2*f*(sin(e + f*x)^2 - 1))","B"
155,1,22,24,0.059627,"\text{Not used}","int(cos(e + f*x)*(a + b/cos(e + f*x)^2),x)","\frac{a\,\sin\left(e+f\,x\right)+b\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)}{f}","Not used",1,"(a*sin(e + f*x) + b*atanh(sin(e + f*x)))/f","B"
156,1,28,30,0.047105,"\text{Not used}","int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2),x)","-\frac{\frac{a\,{\sin\left(e+f\,x\right)}^3}{3}-\sin\left(e+f\,x\right)\,\left(a+b\right)}{f}","Not used",1,"-((a*sin(e + f*x)^3)/3 - sin(e + f*x)*(a + b))/f","B"
157,1,43,50,4.318219,"\text{Not used}","int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2),x)","\frac{\frac{a\,{\sin\left(e+f\,x\right)}^5}{5}+\left(-\frac{2\,a}{3}-\frac{b}{3}\right)\,{\sin\left(e+f\,x\right)}^3+\left(a+b\right)\,\sin\left(e+f\,x\right)}{f}","Not used",1,"((a*sin(e + f*x)^5)/5 - sin(e + f*x)^3*((2*a)/3 + b/3) + sin(e + f*x)*(a + b))/f","B"
158,1,56,87,4.308013,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x)^6,x)","\frac{\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^7}{7}+\left(\frac{a}{5}+\frac{3\,b}{5}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(\frac{2\,a}{3}+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(a+b\right)\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"(tan(e + f*x)^5*(a/5 + (3*b)/5) + (b*tan(e + f*x)^7)/7 + tan(e + f*x)^3*((2*a)/3 + b) + tan(e + f*x)*(a + b))/f","B"
159,1,42,65,4.503295,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x)^4,x)","\frac{\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}+\left(\frac{a}{3}+\frac{2\,b}{3}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(a+b\right)\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"(tan(e + f*x)^3*(a/3 + (2*b)/3) + (b*tan(e + f*x)^5)/5 + tan(e + f*x)*(a + b))/f","B"
160,1,28,43,4.459383,"\text{Not used}","int((a + b/cos(e + f*x)^2)/cos(e + f*x)^2,x)","\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+b\right)}{f}","Not used",1,"(b*tan(e + f*x)^3)/(3*f) + (tan(e + f*x)*(a + b))/f","B"
161,1,17,15,4.416336,"\text{Not used}","int(a + b/cos(e + f*x)^2,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)+a\,f\,x}{f}","Not used",1,"(b*tan(e + f*x) + a*f*x)/f","B"
162,1,25,31,4.313432,"\text{Not used}","int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2),x)","\frac{\frac{a\,\sin\left(2\,e+2\,f\,x\right)}{4}+f\,x\,\left(\frac{a}{2}+b\right)}{f}","Not used",1,"((a*sin(2*e + 2*f*x))/4 + f*x*(a/2 + b))/f","B"
163,1,67,61,4.477971,"\text{Not used}","int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2),x)","x\,\left(\frac{3\,a}{8}+\frac{b}{2}\right)+\frac{\left(\frac{3\,a}{8}+\frac{b}{2}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{5\,a}{8}+\frac{b}{2}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}","Not used",1,"x*((3*a)/8 + b/2) + (tan(e + f*x)^3*((3*a)/8 + b/2) + tan(e + f*x)*((5*a)/8 + b/2))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1))","B"
164,1,91,89,4.936917,"\text{Not used}","int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2),x)","x\,\left(\frac{5\,a}{16}+\frac{3\,b}{8}\right)+\frac{\left(\frac{5\,a}{16}+\frac{3\,b}{8}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(\frac{5\,a}{6}+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{11\,a}{16}+\frac{5\,b}{8}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}","Not used",1,"x*((5*a)/16 + (3*b)/8) + (tan(e + f*x)^5*((5*a)/16 + (3*b)/8) + tan(e + f*x)*((11*a)/16 + (5*b)/8) + tan(e + f*x)^3*((5*a)/6 + b))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1))","B"
165,1,170,165,4.683625,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x)^5,x)","\frac{\left(-\frac{3\,a^2}{8}-\frac{5\,a\,b}{8}-\frac{35\,b^2}{128}\right)\,{\sin\left(e+f\,x\right)}^7+\left(\frac{11\,a^2}{8}+\frac{55\,a\,b}{24}+\frac{385\,b^2}{384}\right)\,{\sin\left(e+f\,x\right)}^5+\left(-\frac{13\,a^2}{8}-\frac{73\,a\,b}{24}-\frac{511\,b^2}{384}\right)\,{\sin\left(e+f\,x\right)}^3+\left(\frac{5\,a^2}{8}+\frac{11\,a\,b}{8}+\frac{93\,b^2}{128}\right)\,\sin\left(e+f\,x\right)}{f\,\left({\sin\left(e+f\,x\right)}^8-4\,{\sin\left(e+f\,x\right)}^6+6\,{\sin\left(e+f\,x\right)}^4-4\,{\sin\left(e+f\,x\right)}^2+1\right)}+\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(\frac{3\,a^2}{8}+\frac{5\,a\,b}{8}+\frac{35\,b^2}{128}\right)}{f}","Not used",1,"(sin(e + f*x)*((11*a*b)/8 + (5*a^2)/8 + (93*b^2)/128) - sin(e + f*x)^7*((5*a*b)/8 + (3*a^2)/8 + (35*b^2)/128) + sin(e + f*x)^5*((55*a*b)/24 + (11*a^2)/8 + (385*b^2)/384) - sin(e + f*x)^3*((73*a*b)/24 + (13*a^2)/8 + (511*b^2)/384))/(f*(6*sin(e + f*x)^4 - 4*sin(e + f*x)^2 - 4*sin(e + f*x)^6 + sin(e + f*x)^8 + 1)) + (atanh(sin(e + f*x))*((5*a*b)/8 + (3*a^2)/8 + (35*b^2)/128))/f","B"
166,1,134,129,4.554945,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x)^3,x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(\frac{a^2}{2}+\frac{3\,a\,b}{4}+\frac{5\,b^2}{16}\right)}{f}-\frac{\left(\frac{a^2}{2}+\frac{3\,a\,b}{4}+\frac{5\,b^2}{16}\right)\,{\sin\left(e+f\,x\right)}^5+\left(-a^2-2\,a\,b-\frac{5\,b^2}{6}\right)\,{\sin\left(e+f\,x\right)}^3+\left(\frac{a^2}{2}+\frac{5\,a\,b}{4}+\frac{11\,b^2}{16}\right)\,\sin\left(e+f\,x\right)}{f\,\left({\sin\left(e+f\,x\right)}^6-3\,{\sin\left(e+f\,x\right)}^4+3\,{\sin\left(e+f\,x\right)}^2-1\right)}","Not used",1,"(atanh(sin(e + f*x))*((3*a*b)/4 + a^2/2 + (5*b^2)/16))/f - (sin(e + f*x)*((5*a*b)/4 + a^2/2 + (11*b^2)/16) - sin(e + f*x)^3*(2*a*b + a^2 + (5*b^2)/6) + sin(e + f*x)^5*((3*a*b)/4 + a^2/2 + (5*b^2)/16))/(f*(3*sin(e + f*x)^2 - 3*sin(e + f*x)^4 + sin(e + f*x)^6 - 1))","B"
167,1,86,91,4.464644,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(a^2+a\,b+\frac{3\,b^2}{8}\right)}{f}+\frac{\sin\left(e+f\,x\right)\,\left(\frac{5\,b^2}{8}+a\,b\right)-{\sin\left(e+f\,x\right)}^3\,\left(\frac{3\,b^2}{8}+a\,b\right)}{f\,\left({\sin\left(e+f\,x\right)}^4-2\,{\sin\left(e+f\,x\right)}^2+1\right)}","Not used",1,"(atanh(sin(e + f*x))*(a*b + a^2 + (3*b^2)/8))/f + (sin(e + f*x)*(a*b + (5*b^2)/8) - sin(e + f*x)^3*(a*b + (3*b^2)/8))/(f*(sin(e + f*x)^4 - 2*sin(e + f*x)^2 + 1))","B"
168,1,55,56,0.108555,"\text{Not used}","int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^2,x)","\frac{a^2\,\sin\left(e+f\,x\right)+\frac{b\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\,\left(4\,a+b\right)}{2}-\frac{b^2\,\sin\left(e+f\,x\right)}{2\,\left({\sin\left(e+f\,x\right)}^2-1\right)}}{f}","Not used",1,"(a^2*sin(e + f*x) + (b*atanh(sin(e + f*x))*(4*a + b))/2 - (b^2*sin(e + f*x))/(2*(sin(e + f*x)^2 - 1)))/f","B"
169,1,48,49,4.529390,"\text{Not used}","int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^2,x)","-\frac{\sin\left(e+f\,x\right)\,\left(a^2-2\,a\,\left(a+b\right)\right)+\frac{a^2\,{\sin\left(e+f\,x\right)}^3}{3}-b^2\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)}{f}","Not used",1,"-(sin(e + f*x)*(a^2 - 2*a*(a + b)) + (a^2*sin(e + f*x)^3)/3 - b^2*atanh(sin(e + f*x)))/f","B"
170,1,44,53,4.440080,"\text{Not used}","int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^2,x)","\frac{\sin\left(e+f\,x\right)\,{\left(a+b\right)}^2+\frac{a^2\,{\sin\left(e+f\,x\right)}^5}{5}-\frac{2\,a\,{\sin\left(e+f\,x\right)}^3\,\left(a+b\right)}{3}}{f}","Not used",1,"(sin(e + f*x)*(a + b)^2 + (a^2*sin(e + f*x)^5)/5 - (2*a*sin(e + f*x)^3*(a + b))/3)/f","B"
171,1,94,106,4.544268,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x)^6,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,{\left(a+b\right)}^2+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^9}{9}+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{2\,a^2}{3}+2\,a\,b+\frac{4\,b^2}{3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(\frac{a^2}{5}+\frac{6\,a\,b}{5}+\frac{6\,b^2}{5}\right)+\frac{2\,b\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(a+2\,b\right)}{7}}{f}","Not used",1,"(tan(e + f*x)*(a + b)^2 + (b^2*tan(e + f*x)^9)/9 + tan(e + f*x)^3*(2*a*b + (2*a^2)/3 + (4*b^2)/3) + tan(e + f*x)^5*((6*a*b)/5 + a^2/5 + (6*b^2)/5) + (2*b*tan(e + f*x)^7*(a + 2*b))/7)/f","B"
172,1,70,80,4.673342,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x)^4,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,{\left(a+b\right)}^2+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{a^2}{3}+\frac{4\,a\,b}{3}+b^2\right)+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^7}{7}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(2\,a+3\,b\right)}{5}}{f}","Not used",1,"(tan(e + f*x)*(a + b)^2 + tan(e + f*x)^3*((4*a*b)/3 + a^2/3 + b^2) + (b^2*tan(e + f*x)^7)/7 + (b*tan(e + f*x)^5*(2*a + 3*b))/5)/f","B"
173,1,44,53,4.542927,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2/cos(e + f*x)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,{\left(a+b\right)}^2+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}+\frac{2\,b\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a+b\right)}{3}}{f}","Not used",1,"(tan(e + f*x)*(a + b)^2 + (b^2*tan(e + f*x)^5)/5 + (2*b*tan(e + f*x)^3*(a + b))/3)/f","B"
174,1,42,40,4.550314,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}-\mathrm{tan}\left(e+f\,x\right)\,\left(b^2-2\,b\,\left(a+b\right)\right)+a^2\,f\,x}{f}","Not used",1,"((b^2*tan(e + f*x)^3)/3 - tan(e + f*x)*(b^2 - 2*b*(a + b)) + a^2*f*x)/f","B"
175,1,66,47,4.520761,"\text{Not used}","int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^2,x)","\frac{b^2\,\mathrm{tan}\left(e+f\,x\right)}{f}+\frac{a^2\,\sin\left(2\,e+2\,f\,x\right)}{4\,f}+\frac{a\,\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(e+f\,x\right)\,\left(a+4\,b\right)}{2\,\left(\frac{a^2}{2}+2\,b\,a\right)}\right)\,\left(a+4\,b\right)}{2\,f}","Not used",1,"(b^2*tan(e + f*x))/f + (a^2*sin(2*e + 2*f*x))/(4*f) + (a*atan((a*tan(e + f*x)*(a + 4*b))/(2*(2*a*b + a^2/2)))*(a + 4*b))/(2*f)","B"
176,1,76,81,4.565976,"\text{Not used}","int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^2,x)","x\,\left(\frac{3\,a^2}{8}+a\,b+b^2\right)+\frac{\left(\frac{3\,a^2}{8}+b\,a\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{5\,a^2}{8}+b\,a\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}","Not used",1,"x*(a*b + (3*a^2)/8 + b^2) + (tan(e + f*x)*(a*b + (5*a^2)/8) + tan(e + f*x)^3*(a*b + (3*a^2)/8))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1))","B"
177,1,123,119,5.322618,"\text{Not used}","int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^2,x)","x\,\left(\frac{5\,a^2}{16}+\frac{3\,a\,b}{4}+\frac{b^2}{2}\right)+\frac{\left(\frac{5\,a^2}{16}+\frac{3\,a\,b}{4}+\frac{b^2}{2}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(\frac{5\,a^2}{6}+2\,a\,b+b^2\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(\frac{11\,a^2}{16}+\frac{5\,a\,b}{4}+\frac{b^2}{2}\right)\,\mathrm{tan}\left(e+f\,x\right)}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}","Not used",1,"x*((3*a*b)/4 + (5*a^2)/16 + b^2/2) + (tan(e + f*x)*((5*a*b)/4 + (11*a^2)/16 + b^2/2) + tan(e + f*x)^3*(2*a*b + (5*a^2)/6 + b^2) + tan(e + f*x)^5*((3*a*b)/4 + (5*a^2)/16 + b^2/2))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1))","B"
178,1,73,73,4.507294,"\text{Not used}","int((a + b/cos(c + d*x)^2)^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,b\,{\left(a+b\right)}^2-3\,b^2\,\left(a+b\right)+b^3\right)+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(b^2\,\left(a+b\right)-\frac{b^3}{3}\right)+a^3\,d\,x}{d}","Not used",1,"(tan(c + d*x)*(3*b*(a + b)^2 - 3*b^2*(a + b) + b^3) + (b^3*tan(c + d*x)^5)/5 + tan(c + d*x)^3*(b^2*(a + b) - b^3/3) + a^3*d*x)/d","B"
179,1,119,111,4.578565,"\text{Not used}","int((a + b/cos(c + d*x)^2)^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(4\,b\,{\left(a+b\right)}^3+4\,b^3\,\left(a+b\right)-6\,b^2\,{\left(a+b\right)}^2-b^4\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(2\,b^2\,{\left(a+b\right)}^2-\frac{4\,b^3\,\left(a+b\right)}{3}+\frac{b^4}{3}\right)+\frac{b^4\,{\mathrm{tan}\left(c+d\,x\right)}^7}{7}+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{4\,b^3\,\left(a+b\right)}{5}-\frac{b^4}{5}\right)+a^4\,d\,x}{d}","Not used",1,"(tan(c + d*x)*(4*b*(a + b)^3 + 4*b^3*(a + b) - 6*b^2*(a + b)^2 - b^4) + tan(c + d*x)^3*(2*b^2*(a + b)^2 - (4*b^3*(a + b))/3 + b^4/3) + (b^4*tan(c + d*x)^7)/7 + tan(c + d*x)^5*((4*b^3*(a + b))/5 - b^4/5) + a^4*d*x)/d","B"
180,1,591,86,4.949373,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)),x)","\frac{b\,\left(a\,\sin\left(e+f\,x\right)-a\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)+a\,{\sin\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\right)+b^2\,\left(\sin\left(e+f\,x\right)+\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)-{\sin\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)\right)-2\,a^2\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)+2\,a^2\,{\sin\left(e+f\,x\right)}^2\,\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)+\mathrm{atan}\left(\frac{-a\,\sin\left(e+f\,x\right)\,{\left(a^4+b\,a^3\right)}^{3/2}\,8{}\mathrm{i}-b\,\sin\left(e+f\,x\right)\,{\left(a^4+b\,a^3\right)}^{3/2}\,4{}\mathrm{i}+a^5\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,8{}\mathrm{i}-a^2\,b^3\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,2{}\mathrm{i}+a^3\,b^2\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,1{}\mathrm{i}+a\,b^4\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,1{}\mathrm{i}+a^4\,b\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,12{}\mathrm{i}}{3\,a^5\,b^2+5\,a^4\,b^3+a^3\,b^4-a^2\,b^5}\right)\,\sqrt{a^4+b\,a^3}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{-a\,\sin\left(e+f\,x\right)\,{\left(a^4+b\,a^3\right)}^{3/2}\,8{}\mathrm{i}-b\,\sin\left(e+f\,x\right)\,{\left(a^4+b\,a^3\right)}^{3/2}\,4{}\mathrm{i}+a^5\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,8{}\mathrm{i}-a^2\,b^3\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,2{}\mathrm{i}+a^3\,b^2\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,1{}\mathrm{i}+a\,b^4\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,1{}\mathrm{i}+a^4\,b\,\sin\left(e+f\,x\right)\,\sqrt{a^4+b\,a^3}\,12{}\mathrm{i}}{3\,a^5\,b^2+5\,a^4\,b^3+a^3\,b^4-a^2\,b^5}\right)\,{\sin\left(e+f\,x\right)}^2\,\sqrt{a^4+b\,a^3}\,2{}\mathrm{i}}{f\,\left(-2\,b^3\,{\sin\left(e+f\,x\right)}^2+2\,b^3-2\,a\,b^2\,{\sin\left(e+f\,x\right)}^2+2\,a\,b^2\right)}","Not used",1,"(b*(a*sin(e + f*x) - a*atanh(sin(e + f*x)) + a*sin(e + f*x)^2*atanh(sin(e + f*x))) + atan((a^5*sin(e + f*x)*(a^3*b + a^4)^(1/2)*8i - b*sin(e + f*x)*(a^3*b + a^4)^(3/2)*4i - a*sin(e + f*x)*(a^3*b + a^4)^(3/2)*8i - a^2*b^3*sin(e + f*x)*(a^3*b + a^4)^(1/2)*2i + a^3*b^2*sin(e + f*x)*(a^3*b + a^4)^(1/2)*1i + a*b^4*sin(e + f*x)*(a^3*b + a^4)^(1/2)*1i + a^4*b*sin(e + f*x)*(a^3*b + a^4)^(1/2)*12i)/(a^3*b^4 - a^2*b^5 + 5*a^4*b^3 + 3*a^5*b^2))*(a^3*b + a^4)^(1/2)*2i + b^2*(sin(e + f*x) + atanh(sin(e + f*x)) - sin(e + f*x)^2*atanh(sin(e + f*x))) - 2*a^2*atanh(sin(e + f*x)) - atan((a^5*sin(e + f*x)*(a^3*b + a^4)^(1/2)*8i - b*sin(e + f*x)*(a^3*b + a^4)^(3/2)*4i - a*sin(e + f*x)*(a^3*b + a^4)^(3/2)*8i - a^2*b^3*sin(e + f*x)*(a^3*b + a^4)^(1/2)*2i + a^3*b^2*sin(e + f*x)*(a^3*b + a^4)^(1/2)*1i + a*b^4*sin(e + f*x)*(a^3*b + a^4)^(1/2)*1i + a^4*b*sin(e + f*x)*(a^3*b + a^4)^(1/2)*12i)/(a^3*b^4 - a^2*b^5 + 5*a^4*b^3 + 3*a^5*b^2))*sin(e + f*x)^2*(a^3*b + a^4)^(1/2)*2i + 2*a^2*sin(e + f*x)^2*atanh(sin(e + f*x)))/(f*(2*a*b^2 + 2*b^3 - 2*b^3*sin(e + f*x)^2 - 2*a*b^2*sin(e + f*x)^2))","B"
181,1,456,55,4.582802,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)),x)","\frac{\mathrm{atanh}\left(\sin\left(e+f\,x\right)\right)}{b\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(2\,a^3\,\sin\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2-\frac{\sin\left(e+f\,x\right)\,\left(16\,a^3\,b^2+8\,a^2\,b^3\right)\,\sqrt{a\,\left(a+b\right)}}{4\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{2\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}\,1{}\mathrm{i}}{b^2+a\,b}+\frac{\left(2\,a^3\,\sin\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2+\frac{\sin\left(e+f\,x\right)\,\left(16\,a^3\,b^2+8\,a^2\,b^3\right)\,\sqrt{a\,\left(a+b\right)}}{4\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{2\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}\,1{}\mathrm{i}}{b^2+a\,b}}{\frac{\left(2\,a^3\,\sin\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2-\frac{\sin\left(e+f\,x\right)\,\left(16\,a^3\,b^2+8\,a^2\,b^3\right)\,\sqrt{a\,\left(a+b\right)}}{4\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{2\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{b^2+a\,b}-\frac{\left(2\,a^3\,\sin\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2+\frac{\sin\left(e+f\,x\right)\,\left(16\,a^3\,b^2+8\,a^2\,b^3\right)\,\sqrt{a\,\left(a+b\right)}}{4\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{2\,\left(b^2+a\,b\right)}\right)\,\sqrt{a\,\left(a+b\right)}}{b^2+a\,b}}\right)\,\sqrt{a\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(b^2+a\,b\right)}","Not used",1,"atanh(sin(e + f*x))/(b*f) + (atan((((2*a^3*sin(e + f*x) + ((2*a^2*b^2 - (sin(e + f*x)*(8*a^2*b^3 + 16*a^3*b^2)*(a*(a + b))^(1/2))/(4*(a*b + b^2)))*(a*(a + b))^(1/2))/(2*(a*b + b^2)))*(a*(a + b))^(1/2)*1i)/(a*b + b^2) + ((2*a^3*sin(e + f*x) - ((2*a^2*b^2 + (sin(e + f*x)*(8*a^2*b^3 + 16*a^3*b^2)*(a*(a + b))^(1/2))/(4*(a*b + b^2)))*(a*(a + b))^(1/2))/(2*(a*b + b^2)))*(a*(a + b))^(1/2)*1i)/(a*b + b^2))/(((2*a^3*sin(e + f*x) + ((2*a^2*b^2 - (sin(e + f*x)*(8*a^2*b^3 + 16*a^3*b^2)*(a*(a + b))^(1/2))/(4*(a*b + b^2)))*(a*(a + b))^(1/2))/(2*(a*b + b^2)))*(a*(a + b))^(1/2))/(a*b + b^2) - ((2*a^3*sin(e + f*x) - ((2*a^2*b^2 + (sin(e + f*x)*(8*a^2*b^3 + 16*a^3*b^2)*(a*(a + b))^(1/2))/(4*(a*b + b^2)))*(a*(a + b))^(1/2))/(2*(a*b + b^2)))*(a*(a + b))^(1/2))/(a*b + b^2)))*(a*(a + b))^(1/2)*1i)/(f*(a*b + b^2))","B"
182,1,28,36,0.110754,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{\sqrt{a}\,f\,\sqrt{a+b}}","Not used",1,"atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))/(a^(1/2)*f*(a + b)^(1/2))","B"
183,1,44,52,4.403410,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2),x)","\frac{\sin\left(e+f\,x\right)}{a\,f}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{a^{3/2}\,f\,\sqrt{a+b}}","Not used",1,"sin(e + f*x)/(a*f) - (b*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2)))/(a^(3/2)*f*(a + b)^(1/2))","B"
184,1,72,76,4.451740,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2),x)","\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{a^{5/2}\,f\,\sqrt{a+b}}-\frac{{\sin\left(e+f\,x\right)}^3}{3\,a\,f}-\frac{\sin\left(e+f\,x\right)\,\left(\frac{a+b}{a^2}-\frac{2}{a}\right)}{f}","Not used",1,"(b^2*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2)))/(a^(5/2)*f*(a + b)^(1/2)) - sin(e + f*x)^3/(3*a*f) - (sin(e + f*x)*((a + b)/a^2 - 2/a))/f","B"
185,1,111,108,0.143867,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2),x)","\frac{\sin\left(e+f\,x\right)\,\left(\frac{3}{a}+\frac{\left(a+b\right)\,\left(\frac{a+b}{a^2}-\frac{3}{a}\right)}{a}\right)}{f}+\frac{{\sin\left(e+f\,x\right)}^5}{5\,a\,f}+\frac{{\sin\left(e+f\,x\right)}^3\,\left(\frac{a+b}{3\,a^2}-\frac{1}{a}\right)}{f}-\frac{b^3\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{a^{7/2}\,f\,\sqrt{a+b}}","Not used",1,"(sin(e + f*x)*(3/a + ((a + b)*((a + b)/a^2 - 3/a))/a))/f + sin(e + f*x)^5/(5*a*f) + (sin(e + f*x)^3*((a + b)/(3*a^2) - 1/a))/f - (b^3*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2)))/(a^(7/2)*f*(a + b)^(1/2))","B"
186,1,72,77,4.368299,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)),x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,b\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{a+b}{b^2}-\frac{2}{b}\right)}{f}+\frac{a^2\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{b^{5/2}\,f\,\sqrt{a+b}}","Not used",1,"tan(e + f*x)^3/(3*b*f) - (tan(e + f*x)*((a + b)/b^2 - 2/b))/f + (a^2*atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2)))/(b^(5/2)*f*(a + b)^(1/2))","B"
187,1,44,52,4.416390,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)}{b\,f}-\frac{a\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{b^{3/2}\,f\,\sqrt{a+b}}","Not used",1,"tan(e + f*x)/(b*f) - (a*atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2)))/(b^(3/2)*f*(a + b)^(1/2))","B"
188,1,31,36,4.507969,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)),x)","\frac{\mathrm{atan}\left(\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{b^2+a\,b}}\right)}{f\,\sqrt{b^2+a\,b}}","Not used",1,"atan((b*tan(e + f*x))/(a*b + b^2)^(1/2))/(f*(a*b + b^2)^(1/2))","B"
189,1,460,45,4.708467,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2),x)","\frac{x}{a}-\frac{\mathrm{atan}\left(\frac{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}+\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}}{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}-\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(a^2+b\,a\right)}","Not used",1,"x/a - (atan((((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2) + ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2))/(((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2) - ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(f*(a*b + a^2))","B"
190,1,373,75,5.238276,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2),x)","-\frac{2\,b^2\,\mathrm{atan}\left(\frac{\sin\left(e+f\,x\right)}{\cos\left(e+f\,x\right)}\right)-a\,\left(\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2}-b\,\mathrm{atan}\left(\frac{\sin\left(e+f\,x\right)}{\cos\left(e+f\,x\right)}\right)\right)-a^2\,\left(\frac{\sin\left(2\,e+2\,f\,x\right)}{2}+\mathrm{atan}\left(\frac{\sin\left(e+f\,x\right)}{\cos\left(e+f\,x\right)}\right)\right)+\mathrm{atan}\left(\frac{a\,\sin\left(e+f\,x\right)\,{\left(-b^4-a\,b^3\right)}^{3/2}\,4{}\mathrm{i}+b\,\sin\left(e+f\,x\right)\,{\left(-b^4-a\,b^3\right)}^{3/2}\,8{}\mathrm{i}+b^5\,\sin\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}\,8{}\mathrm{i}+a\,b^4\,\sin\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}\,12{}\mathrm{i}+a^4\,b\,\sin\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}\,1{}\mathrm{i}+a^2\,b^3\,\sin\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}\,1{}\mathrm{i}-a^3\,b^2\,\sin\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}\,2{}\mathrm{i}}{-\cos\left(e+f\,x\right)\,a^5\,b^2+\cos\left(e+f\,x\right)\,a^4\,b^3+5\,\cos\left(e+f\,x\right)\,a^3\,b^4+3\,\cos\left(e+f\,x\right)\,a^2\,b^5}\right)\,\sqrt{-b^4-a\,b^3}\,2{}\mathrm{i}}{f\,\left(2\,a^3+2\,b\,a^2\right)}","Not used",1,"-(atan((a*sin(e + f*x)*(- a*b^3 - b^4)^(3/2)*4i + b*sin(e + f*x)*(- a*b^3 - b^4)^(3/2)*8i + b^5*sin(e + f*x)*(- a*b^3 - b^4)^(1/2)*8i + a*b^4*sin(e + f*x)*(- a*b^3 - b^4)^(1/2)*12i + a^4*b*sin(e + f*x)*(- a*b^3 - b^4)^(1/2)*1i + a^2*b^3*sin(e + f*x)*(- a*b^3 - b^4)^(1/2)*1i - a^3*b^2*sin(e + f*x)*(- a*b^3 - b^4)^(1/2)*2i)/(3*a^2*b^5*cos(e + f*x) + 5*a^3*b^4*cos(e + f*x) + a^4*b^3*cos(e + f*x) - a^5*b^2*cos(e + f*x)))*(- a*b^3 - b^4)^(1/2)*2i + 2*b^2*atan(sin(e + f*x)/cos(e + f*x)) - a*((b*sin(2*e + 2*f*x))/2 - b*atan(sin(e + f*x)/cos(e + f*x))) - a^2*(sin(2*e + 2*f*x)/2 + atan(sin(e + f*x)/cos(e + f*x))))/(f*(2*a^2*b + 2*a^3))","B"
191,1,1114,117,5.259525,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2),x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a-4\,b\right)}{8\,a^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(3\,a-4\,b\right)}{8\,a^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b^3-24\,a^3\,b^4+64\,a^2\,b^5-64\,a\,b^6+128\,b^7\right)}{64\,a^4}-\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\frac{3\,a^8\,b^2}{2}-\frac{a^7\,b^3}{2}+2\,a^6\,b^4}{2\,a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^2+512\,a^6\,b^3\right)\,\sqrt{-b^5\,\left(a+b\right)}}{128\,a^4\,\left(a^4+b\,a^3\right)}\right)}{2\,\left(a^4+b\,a^3\right)}\right)\,1{}\mathrm{i}}{a^4+b\,a^3}+\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b^3-24\,a^3\,b^4+64\,a^2\,b^5-64\,a\,b^6+128\,b^7\right)}{64\,a^4}+\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\frac{3\,a^8\,b^2}{2}-\frac{a^7\,b^3}{2}+2\,a^6\,b^4}{2\,a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^2+512\,a^6\,b^3\right)\,\sqrt{-b^5\,\left(a+b\right)}}{128\,a^4\,\left(a^4+b\,a^3\right)}\right)}{2\,\left(a^4+b\,a^3\right)}\right)\,1{}\mathrm{i}}{a^4+b\,a^3}}{\frac{\frac{9\,a^3\,b^5}{32}-\frac{3\,a^2\,b^6}{4}+\frac{5\,a\,b^7}{4}-b^8}{a^6}+\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b^3-24\,a^3\,b^4+64\,a^2\,b^5-64\,a\,b^6+128\,b^7\right)}{64\,a^4}-\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\frac{3\,a^8\,b^2}{2}-\frac{a^7\,b^3}{2}+2\,a^6\,b^4}{2\,a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^2+512\,a^6\,b^3\right)\,\sqrt{-b^5\,\left(a+b\right)}}{128\,a^4\,\left(a^4+b\,a^3\right)}\right)}{2\,\left(a^4+b\,a^3\right)}\right)}{a^4+b\,a^3}-\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b^3-24\,a^3\,b^4+64\,a^2\,b^5-64\,a\,b^6+128\,b^7\right)}{64\,a^4}+\frac{\sqrt{-b^5\,\left(a+b\right)}\,\left(\frac{\frac{3\,a^8\,b^2}{2}-\frac{a^7\,b^3}{2}+2\,a^6\,b^4}{2\,a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^2+512\,a^6\,b^3\right)\,\sqrt{-b^5\,\left(a+b\right)}}{128\,a^4\,\left(a^4+b\,a^3\right)}\right)}{2\,\left(a^4+b\,a^3\right)}\right)}{a^4+b\,a^3}}\right)\,\sqrt{-b^5\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(a^4+b\,a^3\right)}-\frac{\mathrm{atan}\left(\frac{63\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{64\,\left(\frac{63\,b^4}{64}-\frac{81\,a\,b^3}{256}+\frac{27\,a^2\,b^2}{256}-\frac{35\,b^5}{32\,a}+\frac{5\,b^6}{4\,a^2}\right)}-\frac{81\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,a\,b^2}{256}-\frac{81\,b^3}{256}+\frac{63\,b^4}{64\,a}-\frac{35\,b^5}{32\,a^2}+\frac{5\,b^6}{4\,a^3}\right)}-\frac{35\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{63\,a\,b^4}{64}-\frac{35\,b^5}{32}-\frac{81\,a^2\,b^3}{256}+\frac{27\,a^3\,b^2}{256}+\frac{5\,b^6}{4\,a}\right)}+\frac{5\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{4\,\left(\frac{27\,a^4\,b^2}{256}-\frac{81\,a^3\,b^3}{256}+\frac{63\,a^2\,b^4}{64}-\frac{35\,a\,b^5}{32}+\frac{5\,b^6}{4}\right)}+\frac{27\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{256\,\left(\frac{27\,b^2}{256}-\frac{81\,b^3}{256\,a}+\frac{63\,b^4}{64\,a^2}-\frac{35\,b^5}{32\,a^3}+\frac{5\,b^6}{4\,a^4}\right)}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,8{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3\,f}","Not used",1,"((tan(e + f*x)*(5*a - 4*b))/(8*a^2) + (tan(e + f*x)^3*(3*a - 4*b))/(8*a^2))/(f*(2*tan(e + f*x)^2 + tan(e + f*x)^4 + 1)) - (atan((((-b^5*(a + b))^(1/2)*((tan(e + f*x)*(128*b^7 - 64*a*b^6 + 64*a^2*b^5 - 24*a^3*b^4 + 9*a^4*b^3))/(64*a^4) - ((-b^5*(a + b))^(1/2)*((2*a^6*b^4 - (a^7*b^3)/2 + (3*a^8*b^2)/2)/(2*a^6) - (tan(e + f*x)*(512*a^6*b^3 + 256*a^7*b^2)*(-b^5*(a + b))^(1/2))/(128*a^4*(a^3*b + a^4))))/(2*(a^3*b + a^4)))*1i)/(a^3*b + a^4) + ((-b^5*(a + b))^(1/2)*((tan(e + f*x)*(128*b^7 - 64*a*b^6 + 64*a^2*b^5 - 24*a^3*b^4 + 9*a^4*b^3))/(64*a^4) + ((-b^5*(a + b))^(1/2)*((2*a^6*b^4 - (a^7*b^3)/2 + (3*a^8*b^2)/2)/(2*a^6) + (tan(e + f*x)*(512*a^6*b^3 + 256*a^7*b^2)*(-b^5*(a + b))^(1/2))/(128*a^4*(a^3*b + a^4))))/(2*(a^3*b + a^4)))*1i)/(a^3*b + a^4))/(((5*a*b^7)/4 - b^8 - (3*a^2*b^6)/4 + (9*a^3*b^5)/32)/a^6 + ((-b^5*(a + b))^(1/2)*((tan(e + f*x)*(128*b^7 - 64*a*b^6 + 64*a^2*b^5 - 24*a^3*b^4 + 9*a^4*b^3))/(64*a^4) - ((-b^5*(a + b))^(1/2)*((2*a^6*b^4 - (a^7*b^3)/2 + (3*a^8*b^2)/2)/(2*a^6) - (tan(e + f*x)*(512*a^6*b^3 + 256*a^7*b^2)*(-b^5*(a + b))^(1/2))/(128*a^4*(a^3*b + a^4))))/(2*(a^3*b + a^4))))/(a^3*b + a^4) - ((-b^5*(a + b))^(1/2)*((tan(e + f*x)*(128*b^7 - 64*a*b^6 + 64*a^2*b^5 - 24*a^3*b^4 + 9*a^4*b^3))/(64*a^4) + ((-b^5*(a + b))^(1/2)*((2*a^6*b^4 - (a^7*b^3)/2 + (3*a^8*b^2)/2)/(2*a^6) + (tan(e + f*x)*(512*a^6*b^3 + 256*a^7*b^2)*(-b^5*(a + b))^(1/2))/(128*a^4*(a^3*b + a^4))))/(2*(a^3*b + a^4))))/(a^3*b + a^4)))*(-b^5*(a + b))^(1/2)*1i)/(f*(a^3*b + a^4)) - (atan((63*b^4*tan(e + f*x))/(64*((63*b^4)/64 - (81*a*b^3)/256 + (27*a^2*b^2)/256 - (35*b^5)/(32*a) + (5*b^6)/(4*a^2))) - (81*b^3*tan(e + f*x))/(256*((27*a*b^2)/256 - (81*b^3)/256 + (63*b^4)/(64*a) - (35*b^5)/(32*a^2) + (5*b^6)/(4*a^3))) - (35*b^5*tan(e + f*x))/(32*((63*a*b^4)/64 - (35*b^5)/32 - (81*a^2*b^3)/256 + (27*a^3*b^2)/256 + (5*b^6)/(4*a))) + (5*b^6*tan(e + f*x))/(4*((5*b^6)/4 - (35*a*b^5)/32 + (63*a^2*b^4)/64 - (81*a^3*b^3)/256 + (27*a^4*b^2)/256)) + (27*b^2*tan(e + f*x))/(256*((27*b^2)/256 - (81*b^3)/(256*a) + (63*b^4)/(64*a^2) - (35*b^5)/(32*a^3) + (5*b^6)/(4*a^4))))*(a^2*3i - a*b*4i + b^2*8i)*1i)/(8*a^3*f)","B"
192,1,1979,163,6.153425,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2),x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(11\,a^2-10\,a\,b+8\,b^2\right)}{16\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^2-6\,a\,b+6\,b^2\right)}{6\,a^3}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(5\,a^2-6\,a\,b+8\,b^2\right)}{16\,a^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+3\,{\mathrm{tan}\left(e+f\,x\right)}^4+3\,{\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4}-\frac{\left(\frac{\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4}}{-\frac{\frac{25\,a^5\,b^6}{128}-\frac{15\,a^4\,b^7}{32}+\frac{29\,a^3\,b^8}{32}-\frac{11\,a^2\,b^9}{8}+\frac{5\,a\,b^{10}}{4}-b^{11}}{a^9}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{4096\,a^{10}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{128\,a^6}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)}{32\,a^4}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,6{}\mathrm{i}+a\,b^2\,8{}\mathrm{i}-b^3\,16{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{-b^7\,\left(a+b\right)}\,\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{2\,a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\sqrt{-b^7\,\left(a+b\right)}}{512\,a^6\,\left(a^5+b\,a^4\right)}\right)}{2\,\left(a^5+b\,a^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{256\,a^6}\right)\,\sqrt{-b^7\,\left(a+b\right)}\,1{}\mathrm{i}}{a^5+b\,a^4}-\frac{\left(\frac{\sqrt{-b^7\,\left(a+b\right)}\,\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{2\,a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\sqrt{-b^7\,\left(a+b\right)}}{512\,a^6\,\left(a^5+b\,a^4\right)}\right)}{2\,\left(a^5+b\,a^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{256\,a^6}\right)\,\sqrt{-b^7\,\left(a+b\right)}\,1{}\mathrm{i}}{a^5+b\,a^4}}{\frac{\left(\frac{\sqrt{-b^7\,\left(a+b\right)}\,\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{2\,a^9}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\sqrt{-b^7\,\left(a+b\right)}}{512\,a^6\,\left(a^5+b\,a^4\right)}\right)}{2\,\left(a^5+b\,a^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{256\,a^6}\right)\,\sqrt{-b^7\,\left(a+b\right)}}{a^5+b\,a^4}-\frac{\frac{25\,a^5\,b^6}{128}-\frac{15\,a^4\,b^7}{32}+\frac{29\,a^3\,b^8}{32}-\frac{11\,a^2\,b^9}{8}+\frac{5\,a\,b^{10}}{4}-b^{11}}{a^9}+\frac{\left(\frac{\sqrt{-b^7\,\left(a+b\right)}\,\left(\frac{-\frac{5\,a^{11}\,b^2}{4}+\frac{a^{10}\,b^3}{4}-\frac{a^9\,b^4}{2}+2\,a^8\,b^5}{2\,a^9}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(1024\,a^9\,b^2+2048\,a^8\,b^3\right)\,\sqrt{-b^7\,\left(a+b\right)}}{512\,a^6\,\left(a^5+b\,a^4\right)}\right)}{2\,\left(a^5+b\,a^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^6\,b^3-60\,a^5\,b^4+116\,a^4\,b^5-256\,a^3\,b^6+256\,a^2\,b^7-256\,a\,b^8+512\,b^9\right)}{256\,a^6}\right)\,\sqrt{-b^7\,\left(a+b\right)}}{a^5+b\,a^4}}\right)\,\sqrt{-b^7\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(a^5+b\,a^4\right)}","Not used",1,"((tan(e + f*x)*(11*a^2 - 10*a*b + 8*b^2))/(16*a^3) + (tan(e + f*x)^3*(5*a^2 - 6*a*b + 6*b^2))/(6*a^3) + (tan(e + f*x)^5*(5*a^2 - 6*a*b + 8*b^2))/(16*a^3))/(f*(3*tan(e + f*x)^2 + 3*tan(e + f*x)^4 + tan(e + f*x)^6 + 1)) + (atan(((((((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/a^9 - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(4096*a^10))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4) - (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(128*a^6))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i)*1i)/(32*a^4) - (((((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/a^9 + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(4096*a^10))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4) + (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(128*a^6))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i)*1i)/(32*a^4))/((((((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/a^9 - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(4096*a^10))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4) - (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(128*a^6))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4) - ((5*a*b^10)/4 - b^11 - (11*a^2*b^9)/8 + (29*a^3*b^8)/32 - (15*a^4*b^7)/32 + (25*a^5*b^6)/128)/a^9 + (((((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/a^9 + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(4096*a^10))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4) + (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(128*a^6))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i))/(32*a^4)))*(a*b^2*8i - a^2*b*6i + a^3*5i - b^3*16i)*1i)/(16*a^4*f) + (atan((((((-b^7*(a + b))^(1/2)*((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/(2*a^9) - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(-b^7*(a + b))^(1/2))/(512*a^6*(a^4*b + a^5))))/(2*(a^4*b + a^5)) - (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(256*a^6))*(-b^7*(a + b))^(1/2)*1i)/(a^4*b + a^5) - ((((-b^7*(a + b))^(1/2)*((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/(2*a^9) + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(-b^7*(a + b))^(1/2))/(512*a^6*(a^4*b + a^5))))/(2*(a^4*b + a^5)) + (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(256*a^6))*(-b^7*(a + b))^(1/2)*1i)/(a^4*b + a^5))/(((((-b^7*(a + b))^(1/2)*((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/(2*a^9) - (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(-b^7*(a + b))^(1/2))/(512*a^6*(a^4*b + a^5))))/(2*(a^4*b + a^5)) - (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(256*a^6))*(-b^7*(a + b))^(1/2))/(a^4*b + a^5) - ((5*a*b^10)/4 - b^11 - (11*a^2*b^9)/8 + (29*a^3*b^8)/32 - (15*a^4*b^7)/32 + (25*a^5*b^6)/128)/a^9 + ((((-b^7*(a + b))^(1/2)*((2*a^8*b^5 - (a^9*b^4)/2 + (a^10*b^3)/4 - (5*a^11*b^2)/4)/(2*a^9) + (tan(e + f*x)*(2048*a^8*b^3 + 1024*a^9*b^2)*(-b^7*(a + b))^(1/2))/(512*a^6*(a^4*b + a^5))))/(2*(a^4*b + a^5)) + (tan(e + f*x)*(512*b^9 - 256*a*b^8 + 256*a^2*b^7 - 256*a^3*b^6 + 116*a^4*b^5 - 60*a^5*b^4 + 25*a^6*b^3))/(256*a^6))*(-b^7*(a + b))^(1/2))/(a^4*b + a^5)))*(-b^7*(a + b))^(1/2)*1i)/(f*(a^4*b + a^5))","B"
193,1,2039,102,5.869236,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^2),x)","-\frac{a\,\sin\left(e+f\,x\right)}{2\,b\,f\,\left(a+b\right)\,\left(-a\,{\sin\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\frac{\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{2\,\left(a^2\,b^3+2\,a\,b^4+b^5\right)}-\frac{\sin\left(e+f\,x\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,b^2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}\right)\,1{}\mathrm{i}}{2\,b^2}+\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)\,1{}\mathrm{i}}{4\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{b^2}-\frac{\frac{\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{2\,\left(a^2\,b^3+2\,a\,b^4+b^5\right)}+\frac{\sin\left(e+f\,x\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,b^2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}\right)\,1{}\mathrm{i}}{2\,b^2}-\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)\,1{}\mathrm{i}}{4\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{b^2}}{\frac{\frac{\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{2\,\left(a^2\,b^3+2\,a\,b^4+b^5\right)}-\frac{\sin\left(e+f\,x\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,b^2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{2\,b^2}+\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{4\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{b^2}+\frac{\frac{\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{2\,\left(a^2\,b^3+2\,a\,b^4+b^5\right)}+\frac{\sin\left(e+f\,x\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,b^2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{2\,b^2}-\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{4\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}}{b^2}-\frac{a^4+\frac{3\,b\,a^3}{2}}{a^2\,b^3+2\,a\,b^4+b^5}}\right)\,1{}\mathrm{i}}{b^2\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}+\frac{\sqrt{a\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{a^2\,b^3+2\,a\,b^4+b^5}-\frac{\sin\left(e+f\,x\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,1{}\mathrm{i}}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}+\frac{\left(\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}-\frac{\sqrt{a\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{a^2\,b^3+2\,a\,b^4+b^5}+\frac{\sin\left(e+f\,x\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,1{}\mathrm{i}}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}}{\frac{a^4+\frac{3\,b\,a^3}{2}}{a^2\,b^3+2\,a\,b^4+b^5}-\frac{\left(\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}+\frac{\sqrt{a\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{a^2\,b^3+2\,a\,b^4+b^5}-\frac{\sin\left(e+f\,x\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}+\frac{\left(\frac{\sin\left(e+f\,x\right)\,\left(8\,a^5+20\,a^4\,b+13\,a^3\,b^2\right)}{2\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)}-\frac{\sqrt{a\,{\left(a+b\right)}^3}\,\left(\frac{2\,a^4\,b^4+6\,a^3\,b^5+4\,a^2\,b^6}{a^2\,b^3+2\,a\,b^4+b^5}+\frac{\sin\left(e+f\,x\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,\left(32\,a^5\,b^4+80\,a^4\,b^5+64\,a^3\,b^6+16\,a^2\,b^7\right)}{8\,\left(a^2\,b^2+2\,a\,b^3+b^4\right)\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)}{4\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}}\right)\,\sqrt{a\,{\left(a+b\right)}^3}\,\left(2\,a+3\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^3\,b^2+3\,a^2\,b^3+3\,a\,b^4+b^5\right)}","Not used",1,"(atan((((((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*(2*a*b^4 + b^5 + a^2*b^3)) - (sin(e + f*x)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*b^2*(2*a*b^3 + b^4 + a^2*b^2)))*1i)/(2*b^2) + (sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2)*1i)/(4*(2*a*b^3 + b^4 + a^2*b^2)))/b^2 - ((((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*(2*a*b^4 + b^5 + a^2*b^3)) + (sin(e + f*x)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*b^2*(2*a*b^3 + b^4 + a^2*b^2)))*1i)/(2*b^2) - (sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2)*1i)/(4*(2*a*b^3 + b^4 + a^2*b^2)))/b^2)/((((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*(2*a*b^4 + b^5 + a^2*b^3)) - (sin(e + f*x)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*b^2*(2*a*b^3 + b^4 + a^2*b^2)))/(2*b^2) + (sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(4*(2*a*b^3 + b^4 + a^2*b^2)))/b^2 + (((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*(2*a*b^4 + b^5 + a^2*b^3)) + (sin(e + f*x)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*b^2*(2*a*b^3 + b^4 + a^2*b^2)))/(2*b^2) - (sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(4*(2*a*b^3 + b^4 + a^2*b^2)))/b^2 - ((3*a^3*b)/2 + a^4)/(2*a*b^4 + b^5 + a^2*b^3)))*1i)/(b^2*f) - (atan(((((sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(2*(2*a*b^3 + b^4 + a^2*b^2)) + ((a*(a + b)^3)^(1/2)*((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*a*b^4 + b^5 + a^2*b^3) - (sin(e + f*x)*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*(2*a*b^3 + b^4 + a^2*b^2)*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*1i)/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)) + (((sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(2*(2*a*b^3 + b^4 + a^2*b^2)) - ((a*(a + b)^3)^(1/2)*((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*a*b^4 + b^5 + a^2*b^3) + (sin(e + f*x)*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*(2*a*b^3 + b^4 + a^2*b^2)*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*1i)/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))/(((3*a^3*b)/2 + a^4)/(2*a*b^4 + b^5 + a^2*b^3) - (((sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(2*(2*a*b^3 + b^4 + a^2*b^2)) + ((a*(a + b)^3)^(1/2)*((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*a*b^4 + b^5 + a^2*b^3) - (sin(e + f*x)*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*(2*a*b^3 + b^4 + a^2*b^2)*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(a*(a + b)^3)^(1/2)*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)) + (((sin(e + f*x)*(20*a^4*b + 8*a^5 + 13*a^3*b^2))/(2*(2*a*b^3 + b^4 + a^2*b^2)) - ((a*(a + b)^3)^(1/2)*((4*a^2*b^6 + 6*a^3*b^5 + 2*a^4*b^4)/(2*a*b^4 + b^5 + a^2*b^3) + (sin(e + f*x)*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*(16*a^2*b^7 + 64*a^3*b^6 + 80*a^4*b^5 + 32*a^5*b^4))/(8*(2*a*b^3 + b^4 + a^2*b^2)*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)))*(a*(a + b)^3)^(1/2)*(2*a + 3*b))/(4*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2))))*(a*(a + b)^3)^(1/2)*(2*a + 3*b)*1i)/(2*f*(3*a*b^4 + b^5 + 3*a^2*b^3 + a^3*b^2)) - (a*sin(e + f*x))/(2*b*f*(a + b)*(a + b - a*sin(e + f*x)^2))","B"
194,1,62,74,0.135412,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^2),x)","\frac{\sin\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(-a\,{\sin\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{2\,\sqrt{a}\,f\,{\left(a+b\right)}^{3/2}}","Not used",1,"sin(e + f*x)/(2*f*(a + b)*(a + b - a*sin(e + f*x)^2)) + atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))/(2*a^(1/2)*f*(a + b)^(3/2))","B"
195,1,71,83,4.433880,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(2\,a+b\right)}{2\,a^{3/2}\,f\,{\left(a+b\right)}^{3/2}}-\frac{b\,\sin\left(e+f\,x\right)}{2\,a\,f\,\left(a+b\right)\,\left(-a\,{\sin\left(e+f\,x\right)}^2+a+b\right)}","Not used",1,"(atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(2*a + b))/(2*a^(3/2)*f*(a + b)^(3/2)) - (b*sin(e + f*x))/(2*a*f*(a + b)*(a + b - a*sin(e + f*x)^2))","B"
196,1,94,101,0.182406,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^2,x)","\frac{\sin\left(e+f\,x\right)}{a^2\,f}+\frac{b^2\,\sin\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(-a^3\,{\sin\left(e+f\,x\right)}^2+a^3+b\,a^2\right)}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(4\,a+3\,b\right)}{2\,a^{5/2}\,f\,{\left(a+b\right)}^{3/2}}","Not used",1,"sin(e + f*x)/(a^2*f) + (b^2*sin(e + f*x))/(2*f*(a + b)*(a^2*b + a^3 - a^3*sin(e + f*x)^2)) - (b*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(4*a + 3*b))/(2*a^(5/2)*f*(a + b)^(3/2))","B"
197,1,124,126,4.623403,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^2,x)","\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(6\,a+5\,b\right)}{2\,a^{7/2}\,f\,{\left(a+b\right)}^{3/2}}-\frac{{\sin\left(e+f\,x\right)}^3}{3\,a^2\,f}-\frac{b^3\,\sin\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(-a^4\,{\sin\left(e+f\,x\right)}^2+a^4+b\,a^3\right)}-\frac{\sin\left(e+f\,x\right)\,\left(\frac{2\,\left(a+b\right)}{a^3}-\frac{3}{a^2}\right)}{f}","Not used",1,"(b^2*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(6*a + 5*b))/(2*a^(7/2)*f*(a + b)^(3/2)) - sin(e + f*x)^3/(3*a^2*f) - (b^3*sin(e + f*x))/(2*f*(a + b)*(a^3*b + a^4 - a^4*sin(e + f*x)^2)) - (sin(e + f*x)*((2*(a + b))/a^3 - 3/a^2))/f","B"
198,1,173,157,0.183311,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^2,x)","\frac{{\sin\left(e+f\,x\right)}^5}{5\,a^2\,f}+\frac{{\sin\left(e+f\,x\right)}^3\,\left(\frac{2\,\left(a+b\right)}{3\,a^3}-\frac{4}{3\,a^2}\right)}{f}+\frac{\sin\left(e+f\,x\right)\,\left(\frac{6}{a^2}-\frac{{\left(a+b\right)}^2}{a^4}+\frac{2\,\left(a+b\right)\,\left(\frac{2\,\left(a+b\right)}{a^3}-\frac{4}{a^2}\right)}{a}\right)}{f}+\frac{b^4\,\sin\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(-a^5\,{\sin\left(e+f\,x\right)}^2+a^5+b\,a^4\right)}-\frac{b^3\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(8\,a+7\,b\right)}{2\,a^{9/2}\,f\,{\left(a+b\right)}^{3/2}}","Not used",1,"sin(e + f*x)^5/(5*a^2*f) + (sin(e + f*x)^3*((2*(a + b))/(3*a^3) - 4/(3*a^2)))/f + (sin(e + f*x)*(6/a^2 - (a + b)^2/a^4 + (2*(a + b)*((2*(a + b))/a^3 - 4/a^2))/a))/f + (b^4*sin(e + f*x))/(2*f*(a + b)*(a^4*b + a^5 - a^5*sin(e + f*x)^2)) - (b^3*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(8*a + 7*b))/(2*a^(9/2)*f*(a + b)^(3/2))","B"
199,1,113,100,4.787558,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^2),x)","\frac{\mathrm{tan}\left(e+f\,x\right)}{b^2\,f}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+b^3+a\,b^2\right)}-\frac{a\,\mathrm{atan}\left(\frac{a\,\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(3\,a+4\,b\right)}{\sqrt{a+b}\,\left(3\,a^2+4\,b\,a\right)}\right)\,\left(3\,a+4\,b\right)}{2\,b^{5/2}\,f\,{\left(a+b\right)}^{3/2}}","Not used",1,"tan(e + f*x)/(b^2*f) + (a^2*tan(e + f*x))/(2*f*(a + b)*(a*b^2 + b^3 + b^3*tan(e + f*x)^2)) - (a*atan((a*b^(1/2)*tan(e + f*x)*(3*a + 4*b))/((a + b)^(1/2)*(4*a*b + 3*a^2)))*(3*a + 4*b))/(2*b^(5/2)*f*(a + b)^(3/2))","B"
200,1,70,82,4.408596,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(a+2\,b\right)}{2\,b^{3/2}\,f\,{\left(a+b\right)}^{3/2}}-\frac{a\,\mathrm{tan}\left(e+f\,x\right)}{2\,b\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}","Not used",1,"(atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2))*(a + 2*b))/(2*b^(3/2)*f*(a + b)^(3/2)) - (a*tan(e + f*x))/(2*b*f*(a + b)*(a + b + b*tan(e + f*x)^2))","B"
201,1,69,73,4.470852,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^2),x)","\frac{\mathrm{tan}\left(e+f\,x\right)}{2\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a+2\,b\right)}{2\,{\left(a+b\right)}^{3/2}}\right)}{2\,\sqrt{b}\,f\,{\left(a+b\right)}^{3/2}}","Not used",1,"tan(e + f*x)/(2*f*(a + b)*(a + b + b*tan(e + f*x)^2)) + atan((b^(1/2)*tan(e + f*x)*(2*a + 2*b))/(2*(a + b)^(3/2)))/(2*b^(1/2)*f*(a + b)^(3/2))","B"
202,1,2056,92,6.668188,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}}{\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}}\right)}{a^2\,f}-\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{2\,a\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}{\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}","Not used",1,"atan((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 - ((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2)/((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + (((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + ((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2)))/(a^2*f) + (atan(((((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))/(((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2) - (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2))))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(2*f*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) - (b*tan(e + f*x))/(2*a*f*(a + b)*(a + b + b*tan(e + f*x)^2))","B"
203,1,2401,142,7.691757,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+2\,b^2\right)}{2\,a^2\,\left(a+b\right)}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a+2\,b\right)}{2\,a^2\,\left(a+b\right)}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(a+2\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{8\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^3}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{8\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^3}}{\frac{-\frac{5\,a^3\,b^4}{4}+\frac{3\,a^2\,b^5}{2}+12\,a\,b^6+8\,b^7}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{8\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{8\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)}{4\,a^3}}\right)\,\left(a\,1{}\mathrm{i}-b\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^3\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3\right)}\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}\right)\,1{}\mathrm{i}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}+\frac{\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3\right)}\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}\right)\,1{}\mathrm{i}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}}{\frac{-\frac{5\,a^3\,b^4}{4}+\frac{3\,a^2\,b^5}{2}+12\,a\,b^6+8\,b^7}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3\right)}\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}\right)}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}-\frac{\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4\,b^3-6\,a^3\,b^4+26\,a^2\,b^5+64\,a\,b^6+32\,b^7\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\left(\frac{-2\,a^9\,b^2+2\,a^8\,b^3+8\,a^7\,b^4+4\,a^6\,b^5}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,\left(16\,a^9\,b^2+64\,a^8\,b^3+80\,a^7\,b^4+32\,a^6\,b^5\right)}{2\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3\right)}\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}\right)}{a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3}}\right)\,\left(\frac{5\,a}{4}+b\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}\,2{}\mathrm{i}}{f\,\left(a^6+3\,a^5\,b+3\,a^4\,b^2+a^3\,b^3\right)}","Not used",1,"((tan(e + f*x)*(2*a*b + a^2 + 2*b^2))/(2*a^2*(a + b)) + (b*tan(e + f*x)^3*(a + 2*b))/(2*a^2*(a + b)))/(f*(a + b + b*tan(e + f*x)^4 + tan(e + f*x)^2*(a + 2*b))) - (atan(((((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) - (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*(a*1i - b*4i)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(8*a^3*(2*a^5*b + a^6 + a^4*b^2)))*(a*1i - b*4i))/(4*a^3))*(a*1i - b*4i)*1i)/(4*a^3) + (((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) + (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*(a*1i - b*4i)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(8*a^3*(2*a^5*b + a^6 + a^4*b^2)))*(a*1i - b*4i))/(4*a^3))*(a*1i - b*4i)*1i)/(4*a^3))/((12*a*b^6 + 8*b^7 + (3*a^2*b^5)/2 - (5*a^3*b^4)/4)/(2*a^7*b + a^8 + a^6*b^2) - (((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) - (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*(a*1i - b*4i)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(8*a^3*(2*a^5*b + a^6 + a^4*b^2)))*(a*1i - b*4i))/(4*a^3))*(a*1i - b*4i))/(4*a^3) + (((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) + (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*(a*1i - b*4i)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(8*a^3*(2*a^5*b + a^6 + a^4*b^2)))*(a*1i - b*4i))/(4*a^3))*(a*1i - b*4i))/(4*a^3)))*(a*1i - b*4i)*1i)/(2*a^3*f) - (atan(((((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) + (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(2*(2*a^5*b + a^6 + a^4*b^2)*(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2))*1i)/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2) + (((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) - (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(2*(2*a^5*b + a^6 + a^4*b^2)*(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2))*1i)/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2))/((12*a*b^6 + 8*b^7 + (3*a^2*b^5)/2 - (5*a^3*b^4)/4)/(2*a^7*b + a^8 + a^6*b^2) + (((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) + (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(2*(2*a^5*b + a^6 + a^4*b^2)*(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2) - (((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*((tan(e + f*x)*(64*a*b^6 + 32*b^7 + 26*a^2*b^5 - 6*a^3*b^4 + a^4*b^3))/(2*(2*a^5*b + a^6 + a^4*b^2)) - (((4*a^6*b^5 + 8*a^7*b^4 + 2*a^8*b^3 - 2*a^9*b^2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*(32*a^6*b^5 + 80*a^7*b^4 + 64*a^8*b^3 + 16*a^9*b^2))/(2*(2*a^5*b + a^6 + a^4*b^2)*(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))/(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2)))*((5*a)/4 + b)*(-b^3*(a + b)^3)^(1/2)*2i)/(f*(3*a^5*b + a^6 + a^3*b^3 + 3*a^4*b^2))","B"
204,1,2880,203,11.906878,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^2,x)","-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-3\,a^3-3\,a^2\,b+16\,a\,b^2+24\,b^3\right)}{8\,a^3\,\left(a+b\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-5\,a^3-2\,a^2\,b+11\,a\,b^2+12\,b^3\right)}{8\,a^3\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-3\,a^2\,b+5\,a\,b^2+12\,b^3\right)}{8\,a^3\,\left(a+b\right)}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^6+\left(a+3\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(2\,a+3\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4}}{\frac{-\frac{63\,a^5\,b^5}{64}+\frac{219\,a^4\,b^6}{64}-\frac{149\,a^3\,b^7}{32}-\frac{9\,a^2\,b^8}{2}+\frac{135\,a\,b^9}{4}+27\,b^{10}}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{512\,a^4\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)}{16\,a^4}}\right)\,\left(a^2\,3{}\mathrm{i}-a\,b\,8{}\mathrm{i}+b^2\,24{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,1{}\mathrm{i}}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,1{}\mathrm{i}}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}}{\frac{-\frac{63\,a^5\,b^5}{64}+\frac{219\,a^4\,b^6}{64}-\frac{149\,a^3\,b^7}{32}-\frac{9\,a^2\,b^8}{2}+\frac{135\,a\,b^9}{4}+27\,b^{10}}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^6\,b^3-30\,a^5\,b^4+121\,a^4\,b^5-16\,a^3\,b^6+800\,a^2\,b^7+2112\,a\,b^8+1152\,b^9\right)}{32\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(\frac{\frac{3\,a^{12}\,b^2}{2}+\frac{a^{11}\,b^3}{2}+\frac{9\,a^{10}\,b^4}{2}+\frac{23\,a^9\,b^5}{2}+6\,a^8\,b^6}{a^{11}+2\,a^{10}\,b+a^9\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,\left(256\,a^{11}\,b^2+1024\,a^{10}\,b^3+1280\,a^9\,b^4+512\,a^8\,b^5\right)}{128\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)}{4\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(7\,a+6\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^7+3\,a^6\,b+3\,a^5\,b^2+a^4\,b^3\right)}","Not used",1,"(atan(((((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - (((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(a^2*3i - a*b*8i + b^2*24i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4))*(a^2*3i - a*b*8i + b^2*24i)*1i)/(16*a^4) + (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + (((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(a^2*3i - a*b*8i + b^2*24i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4))*(a^2*3i - a*b*8i + b^2*24i)*1i)/(16*a^4))/(((135*a*b^9)/4 + 27*b^10 - (9*a^2*b^8)/2 - (149*a^3*b^7)/32 + (219*a^4*b^6)/64 - (63*a^5*b^5)/64)/(2*a^10*b + a^11 + a^9*b^2) - (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - (((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(a^2*3i - a*b*8i + b^2*24i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4) + (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + (((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(a^2*3i - a*b*8i + b^2*24i)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(512*a^4*(2*a^7*b + a^8 + a^6*b^2)))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4))*(a^2*3i - a*b*8i + b^2*24i))/(16*a^4)))*(a^2*3i - a*b*8i + b^2*24i)*1i)/(8*a^4*f) - ((tan(e + f*x)^3*(16*a*b^2 - 3*a^2*b - 3*a^3 + 24*b^3))/(8*a^3*(a + b)) + (tan(e + f*x)*(11*a*b^2 - 2*a^2*b - 5*a^3 + 12*b^3))/(8*a^3*(a + b)) + (tan(e + f*x)^5*(5*a*b^2 - 3*a^2*b + 12*b^3))/(8*a^3*(a + b)))/(f*(a + b + tan(e + f*x)^2*(2*a + 3*b) + b*tan(e + f*x)^6 + tan(e + f*x)^4*(a + 3*b))) + (atan(((((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - ((-b^5*(a + b)^3)^(1/2)*((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*1i)/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)) + (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + ((-b^5*(a + b)^3)^(1/2)*((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*1i)/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))/(((135*a*b^9)/4 + 27*b^10 - (9*a^2*b^8)/2 - (149*a^3*b^7)/32 + (219*a^4*b^6)/64 - (63*a^5*b^5)/64)/(2*a^10*b + a^11 + a^9*b^2) - (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) - ((-b^5*(a + b)^3)^(1/2)*((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) - (tan(e + f*x)*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)) + (((tan(e + f*x)*(2112*a*b^8 + 1152*b^9 + 800*a^2*b^7 - 16*a^3*b^6 + 121*a^4*b^5 - 30*a^5*b^4 + 9*a^6*b^3))/(32*(2*a^7*b + a^8 + a^6*b^2)) + ((-b^5*(a + b)^3)^(1/2)*((6*a^8*b^6 + (23*a^9*b^5)/2 + (9*a^10*b^4)/2 + (a^11*b^3)/2 + (3*a^12*b^2)/2)/(2*a^10*b + a^11 + a^9*b^2) + (tan(e + f*x)*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*(512*a^8*b^5 + 1280*a^9*b^4 + 1024*a^10*b^3 + 256*a^11*b^2))/(128*(2*a^7*b + a^8 + a^6*b^2)*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2)))*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b))/(4*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2))))*(-b^5*(a + b)^3)^(1/2)*(7*a + 6*b)*1i)/(2*f*(3*a^6*b + a^7 + a^4*b^3 + 3*a^5*b^2))","B"
205,1,3310,278,8.557507,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(11\,a^4+2\,a^3\,b-5\,a^2\,b^2+28\,a\,b^3+32\,b^4\right)}{16\,a^4\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(15\,a^4+34\,a^3\,b-41\,a^2\,b^2+156\,a\,b^3+288\,b^4\right)}{48\,a^4\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(40\,a^4+17\,a^3\,b-35\,a^2\,b^2+204\,a\,b^3+288\,b^4\right)}{48\,a^4\,\left(a+b\right)}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(5\,a^3-7\,a^2\,b+12\,a\,b^2+32\,b^3\right)}{16\,a^4\,\left(a+b\right)}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^8+\left(a+4\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^6+\left(3\,a+6\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(3\,a+4\,b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{4096\,a^5\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^5}-\frac{\left(\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{4096\,a^5\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^5}}{\frac{-\frac{225\,a^7\,b^6}{256}+\frac{655\,a^6\,b^7}{256}-\frac{101\,a^5\,b^8}{16}+\frac{267\,a^4\,b^9}{32}+\frac{19\,a^3\,b^{10}}{8}-11\,a^2\,b^{11}+72\,a\,b^{12}+64\,b^{13}}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{4096\,a^5\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{4096\,a^5\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)}{32\,a^5}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,12{}\mathrm{i}+a\,b^2\,24{}\mathrm{i}-b^3\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^5\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}-\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{512\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(9\,a+8\,b\right)\,1{}\mathrm{i}}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}+\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{512\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(9\,a+8\,b\right)\,1{}\mathrm{i}}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}}{\frac{-\frac{225\,a^7\,b^6}{256}+\frac{655\,a^6\,b^7}{256}-\frac{101\,a^5\,b^8}{16}+\frac{267\,a^4\,b^9}{32}+\frac{19\,a^3\,b^{10}}{8}-11\,a^2\,b^{11}+72\,a\,b^{12}+64\,b^{13}}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}-\frac{\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}-\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{512\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^8\,b^3-70\,a^7\,b^4+169\,a^6\,b^5-568\,a^5\,b^6+64\,a^4\,b^7-64\,a^3\,b^8+5248\,a^2\,b^9+14336\,a\,b^{10}+8192\,b^{11}\right)}{128\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)}+\frac{\left(\frac{-\frac{5\,a^{15}\,b^2}{4}-\frac{3\,a^{14}\,b^3}{4}-\frac{3\,a^{13}\,b^4}{4}+\frac{23\,a^{12}\,b^5}{4}+15\,a^{11}\,b^6+8\,a^{10}\,b^7}{a^{14}+2\,a^{13}\,b+a^{12}\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)\,\left(1024\,a^{13}\,b^2+4096\,a^{12}\,b^3+5120\,a^{11}\,b^4+2048\,a^{10}\,b^5\right)}{512\,\left(a^{10}+2\,a^9\,b+a^8\,b^2\right)\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}\right)\,\left(9\,a+8\,b\right)}{4\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^3}\,\left(9\,a+8\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^8+3\,a^7\,b+3\,a^6\,b^2+a^5\,b^3\right)}","Not used",1,"((tan(e + f*x)*(28*a*b^3 + 2*a^3*b + 11*a^4 + 32*b^4 - 5*a^2*b^2))/(16*a^4*(a + b)) + (tan(e + f*x)^5*(156*a*b^3 + 34*a^3*b + 15*a^4 + 288*b^4 - 41*a^2*b^2))/(48*a^4*(a + b)) + (tan(e + f*x)^3*(204*a*b^3 + 17*a^3*b + 40*a^4 + 288*b^4 - 35*a^2*b^2))/(48*a^4*(a + b)) + (b*tan(e + f*x)^7*(12*a*b^2 - 7*a^2*b + 5*a^3 + 32*b^3))/(16*a^4*(a + b)))/(f*(a + b + tan(e + f*x)^2*(3*a + 4*b) + tan(e + f*x)^4*(3*a + 6*b) + b*tan(e + f*x)^8 + tan(e + f*x)^6*(a + 4*b))) - (atan(-((((((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) - (tan(e + f*x)*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(4096*a^5*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5) - (tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*1i)/(32*a^5) - (((((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) + (tan(e + f*x)*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(4096*a^5*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5) + (tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*1i)/(32*a^5))/((72*a*b^12 + 64*b^13 - 11*a^2*b^11 + (19*a^3*b^10)/8 + (267*a^4*b^9)/32 - (101*a^5*b^8)/16 + (655*a^6*b^7)/256 - (225*a^7*b^6)/256)/(2*a^13*b + a^14 + a^12*b^2) + (((((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) - (tan(e + f*x)*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(4096*a^5*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5) - (tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5) + (((((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) + (tan(e + f*x)*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(4096*a^5*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5) + (tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i))/(32*a^5)))*(a*b^2*24i - a^2*b*12i + a^3*5i - b^3*64i)*1i)/(16*a^5*f) - (atan((((-b^7*(a + b)^3)^(1/2)*((tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)) - (((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) - (tan(e + f*x)*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(512*(2*a^9*b + a^10 + a^8*b^2)*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(9*a + 8*b)*1i)/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)) + ((-b^7*(a + b)^3)^(1/2)*((tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)) + (((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) + (tan(e + f*x)*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(512*(2*a^9*b + a^10 + a^8*b^2)*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(9*a + 8*b)*1i)/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))/((72*a*b^12 + 64*b^13 - 11*a^2*b^11 + (19*a^3*b^10)/8 + (267*a^4*b^9)/32 - (101*a^5*b^8)/16 + (655*a^6*b^7)/256 - (225*a^7*b^6)/256)/(2*a^13*b + a^14 + a^12*b^2) - ((-b^7*(a + b)^3)^(1/2)*((tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)) - (((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) - (tan(e + f*x)*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(512*(2*a^9*b + a^10 + a^8*b^2)*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)) + ((-b^7*(a + b)^3)^(1/2)*((tan(e + f*x)*(14336*a*b^10 + 8192*b^11 + 5248*a^2*b^9 - 64*a^3*b^8 + 64*a^4*b^7 - 568*a^5*b^6 + 169*a^6*b^5 - 70*a^7*b^4 + 25*a^8*b^3))/(128*(2*a^9*b + a^10 + a^8*b^2)) + (((8*a^10*b^7 + 15*a^11*b^6 + (23*a^12*b^5)/4 - (3*a^13*b^4)/4 - (3*a^14*b^3)/4 - (5*a^15*b^2)/4)/(2*a^13*b + a^14 + a^12*b^2) + (tan(e + f*x)*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b)*(2048*a^10*b^5 + 5120*a^11*b^4 + 4096*a^12*b^3 + 1024*a^13*b^2))/(512*(2*a^9*b + a^10 + a^8*b^2)*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2)))*(9*a + 8*b))/(4*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2))))*(-b^7*(a + b)^3)^(1/2)*(9*a + 8*b)*1i)/(2*f*(3*a^7*b + a^8 + a^5*b^3 + 3*a^6*b^2))","B"
206,1,113,108,0.223222,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^3),x)","\frac{\frac{5\,\sin\left(e+f\,x\right)}{8\,\left(a+b\right)}-\frac{3\,a\,{\sin\left(e+f\,x\right)}^3}{8\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+a^2+b^2-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^2+2\,b\,a\right)+a^2\,{\sin\left(e+f\,x\right)}^4\right)}+\frac{3\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{8\,\sqrt{a}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"((5*sin(e + f*x))/(8*(a + b)) - (3*a*sin(e + f*x)^3)/(8*(a + b)^2))/(f*(2*a*b + a^2 + b^2 - sin(e + f*x)^2*(2*a*b + 2*a^2) + a^2*sin(e + f*x)^4)) + (3*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2)))/(8*a^(1/2)*f*(a + b)^(5/2))","B"
207,1,129,125,4.681210,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^3),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(4\,a+b\right)}{8\,a^{3/2}\,f\,{\left(a+b\right)}^{5/2}}-\frac{\frac{{\sin\left(e+f\,x\right)}^3\,\left(4\,a+b\right)}{8\,{\left(a+b\right)}^2}-\frac{\sin\left(e+f\,x\right)\,\left(4\,a-b\right)}{8\,a\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^2+2\,b\,a\right)+a^2\,{\sin\left(e+f\,x\right)}^4\right)}","Not used",1,"(atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(4*a + b))/(8*a^(3/2)*f*(a + b)^(5/2)) - ((sin(e + f*x)^3*(4*a + b))/(8*(a + b)^2) - (sin(e + f*x)*(4*a - b))/(8*a*(a + b)))/(f*(2*a*b + a^2 + b^2 - sin(e + f*x)^2*(2*a*b + 2*a^2) + a^2*sin(e + f*x)^4))","B"
208,1,149,144,0.254043,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^3),x)","\frac{\frac{{\sin\left(e+f\,x\right)}^3\,\left(5\,b^2+8\,a\,b\right)}{8\,a\,{\left(a+b\right)}^2}-\frac{\sin\left(e+f\,x\right)\,\left(3\,b^2+8\,a\,b\right)}{8\,a^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^2+2\,b\,a\right)+a^2\,{\sin\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(8\,a^2+8\,a\,b+3\,b^2\right)}{8\,a^{5/2}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"((sin(e + f*x)^3*(8*a*b + 5*b^2))/(8*a*(a + b)^2) - (sin(e + f*x)*(8*a*b + 3*b^2))/(8*a^2*(a + b)))/(f*(2*a*b + a^2 + b^2 - sin(e + f*x)^2*(2*a*b + 2*a^2) + a^2*sin(e + f*x)^4)) + (atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(8*a*b + 8*a^2 + 3*b^2))/(8*a^(5/2)*f*(a + b)^(5/2))","B"
209,1,175,156,4.741845,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^3,x)","\frac{\sin\left(e+f\,x\right)}{a^3\,f}+\frac{\frac{\sin\left(e+f\,x\right)\,\left(7\,b^3+12\,a\,b^2\right)}{8\,\left(a+b\right)}-\frac{3\,{\sin\left(e+f\,x\right)}^3\,\left(4\,a^2\,b^2+3\,a\,b^3\right)}{8\,{\left(a+b\right)}^2}}{f\,\left(2\,a^4\,b-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^5+2\,b\,a^4\right)+a^5+a^3\,b^2+a^5\,{\sin\left(e+f\,x\right)}^4\right)}-\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(8\,a^2+12\,a\,b+5\,b^2\right)}{8\,a^{7/2}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"sin(e + f*x)/(a^3*f) + ((sin(e + f*x)*(12*a*b^2 + 7*b^3))/(8*(a + b)) - (3*sin(e + f*x)^3*(3*a*b^3 + 4*a^2*b^2))/(8*(a + b)^2))/(f*(2*a^4*b - sin(e + f*x)^2*(2*a^4*b + 2*a^5) + a^5 + a^3*b^2 + a^5*sin(e + f*x)^4)) - (3*b*atanh((a^(1/2)*sin(e + f*x))/(a + b)^(1/2))*(12*a*b + 8*a^2 + 5*b^2))/(8*a^(7/2)*f*(a + b)^(5/2))","B"
210,1,256,181,0.390375,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^3,x)","\frac{b^2\,\ln\left(\sqrt{a+b}+\sqrt{a}\,\sin\left(e+f\,x\right)\right)\,\left(3\,a^2+5\,a\,b+\frac{35\,b^2}{16}\right)}{a^{9/2}\,f\,{\left(a+b\right)}^{5/2}}-\frac{\frac{\sin\left(e+f\,x\right)\,\left(11\,b^4+16\,a\,b^3\right)}{8\,\left(a+b\right)}-\frac{{\sin\left(e+f\,x\right)}^3\,\left(16\,a^2\,b^3+13\,a\,b^4\right)}{8\,{\left(a+b\right)}^2}}{f\,\left(2\,a^5\,b-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^6+2\,b\,a^5\right)+a^6+a^4\,b^2+a^6\,{\sin\left(e+f\,x\right)}^4\right)}-\frac{{\sin\left(e+f\,x\right)}^3}{3\,a^3\,f}-\frac{b^2\,\ln\left(\sqrt{a}\,\sin\left(e+f\,x\right)-\sqrt{a+b}\right)\,\left(48\,a^2+80\,a\,b+35\,b^2\right)}{16\,a^{9/2}\,f\,{\left(a+b\right)}^{5/2}}-\frac{\sin\left(e+f\,x\right)\,\left(\frac{3\,\left(a+b\right)}{a^4}-\frac{4}{a^3}\right)}{f}","Not used",1,"(b^2*log((a + b)^(1/2) + a^(1/2)*sin(e + f*x))*(5*a*b + 3*a^2 + (35*b^2)/16))/(a^(9/2)*f*(a + b)^(5/2)) - ((sin(e + f*x)*(16*a*b^3 + 11*b^4))/(8*(a + b)) - (sin(e + f*x)^3*(13*a*b^4 + 16*a^2*b^3))/(8*(a + b)^2))/(f*(2*a^5*b - sin(e + f*x)^2*(2*a^5*b + 2*a^6) + a^6 + a^4*b^2 + a^6*sin(e + f*x)^4)) - sin(e + f*x)^3/(3*a^3*f) - (b^2*log(a^(1/2)*sin(e + f*x) - (a + b)^(1/2))*(80*a*b + 48*a^2 + 35*b^2))/(16*a^(9/2)*f*(a + b)^(5/2)) - (sin(e + f*x)*((3*(a + b))/a^4 - 4/a^3))/f","B"
211,1,257,214,0.327456,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{5\,\sin\left(e+f\,x\right)\,\left(3\,b^5+4\,a\,b^4\right)}{8\,\left(a+b\right)}-\frac{{\sin\left(e+f\,x\right)}^3\,\left(20\,a^2\,b^4+17\,a\,b^5\right)}{8\,{\left(a+b\right)}^2}}{f\,\left(2\,a^6\,b-{\sin\left(e+f\,x\right)}^2\,\left(2\,a^7+2\,b\,a^6\right)+a^7+a^5\,b^2+a^7\,{\sin\left(e+f\,x\right)}^4\right)}+\frac{{\sin\left(e+f\,x\right)}^5}{5\,a^3\,f}+\frac{{\sin\left(e+f\,x\right)}^3\,\left(\frac{a+b}{a^4}-\frac{5}{3\,a^3}\right)}{f}+\frac{\sin\left(e+f\,x\right)\,\left(\frac{10}{a^3}-\frac{3\,{\left(a+b\right)}^2}{a^5}+\frac{3\,\left(a+b\right)\,\left(\frac{3\,\left(a+b\right)}{a^4}-\frac{5}{a^3}\right)}{a}\right)}{f}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\sqrt{a+b}}\right)\,\left(80\,a^2+140\,a\,b+63\,b^2\right)\,1{}\mathrm{i}}{8\,a^{11/2}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"((5*sin(e + f*x)*(4*a*b^4 + 3*b^5))/(8*(a + b)) - (sin(e + f*x)^3*(17*a*b^5 + 20*a^2*b^4))/(8*(a + b)^2))/(f*(2*a^6*b - sin(e + f*x)^2*(2*a^6*b + 2*a^7) + a^7 + a^5*b^2 + a^7*sin(e + f*x)^4)) + sin(e + f*x)^5/(5*a^3*f) + (sin(e + f*x)^3*((a + b)/a^4 - 5/(3*a^3)))/f + (sin(e + f*x)*(10/a^3 - (3*(a + b)^2)/a^5 + (3*(a + b)*((3*(a + b))/a^4 - 5/a^3))/a))/f + (b^3*atan((a^(1/2)*sin(e + f*x)*1i)/(a + b)^(1/2))*(140*a*b + 80*a^2 + 63*b^2)*1i)/(8*a^(11/2)*f*(a + b)^(5/2))","B"
212,1,149,142,5.210883,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^3),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(3\,a^2+8\,a\,b+8\,b^2\right)}{8\,b^{5/2}\,f\,{\left(a+b\right)}^{5/2}}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^2+8\,b\,a\right)}{8\,b\,{\left(a+b\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(3\,a^2+8\,b\,a\right)}{8\,b^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}","Not used",1,"(atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2))*(8*a*b + 3*a^2 + 8*b^2))/(8*b^(5/2)*f*(a + b)^(5/2)) - ((tan(e + f*x)^3*(8*a*b + 5*a^2))/(8*b*(a + b)^2) + (tan(e + f*x)*(8*a*b + 3*a^2))/(8*b^2*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4))","B"
213,1,125,123,5.101961,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^3),x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a+4\,b\right)}{8\,{\left(a+b\right)}^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a-4\,b\right)}{8\,b\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)\,\left(a+4\,b\right)}{8\,b^{3/2}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"((tan(e + f*x)^3*(a + 4*b))/(8*(a + b)^2) - (tan(e + f*x)*(a - 4*b))/(8*b*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + (atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2))*(a + 4*b))/(8*b^(3/2)*f*(a + b)^(5/2))","B"
214,1,112,106,5.001325,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^3),x)","\frac{\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{8\,\left(a+b\right)}+\frac{3\,b\,{\mathrm{tan}\left(e+f\,x\right)}^3}{8\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{b}\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{a+b}}\right)}{8\,\sqrt{b}\,f\,{\left(a+b\right)}^{5/2}}","Not used",1,"((5*tan(e + f*x))/(8*(a + b)) + (3*b*tan(e + f*x)^3)/(8*(a + b)^2))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + (3*atan((b^(1/2)*tan(e + f*x))/(a + b)^(1/2)))/(8*b^(1/2)*f*(a + b)^(5/2))","B"
215,1,3271,144,9.330605,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}\right)}{a^3\,f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(4\,b^3+7\,a\,b^2\right)}{8\,a^2\,{\left(a+b\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,b^2+9\,a\,b\right)}{8\,a^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}","Not used",1,"atan((((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 - ((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3)/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3))/(a^3*f) - ((tan(e + f*x)^3*(7*a*b^2 + 4*b^3))/(8*a^2*(a + b)^2) + (tan(e + f*x)*(9*a*b + 4*b^2))/(8*a^2*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + (atan(((((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(8*f*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))","B"
216,1,3708,201,9.973331,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(4\,a^2\,b^2+19\,a\,b^3+12\,b^4\right)}{8\,a^3\,{\left(a+b\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^3+12\,a^2\,b+25\,a\,b^2+12\,b^3\right)}{8\,a^3\,\left(a+b\right)}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(8\,a^3+37\,a^2\,b+56\,a\,b^2+24\,b^3\right)}{8\,a^3\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2+4\,a\,b+3\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^6\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{128\,a^4\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^4}-\frac{\left(\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{128\,a^4\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^4}}{\frac{-\frac{35\,a^5\,b^4}{16}-\frac{49\,a^4\,b^5}{64}+\frac{1877\,a^3\,b^6}{32}+\frac{261\,a^2\,b^7}{2}+\frac{405\,a\,b^8}{4}+27\,b^9}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}+\frac{\left(\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{128\,a^4\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}+\frac{\left(\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{128\,a^4\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)}{4\,a^4}}\right)\,\left(a\,1{}\mathrm{i}-b\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^4\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}-\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{512\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}+\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{512\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}}{\frac{-\frac{35\,a^5\,b^4}{16}-\frac{49\,a^4\,b^5}{64}+\frac{1877\,a^3\,b^6}{32}+\frac{261\,a^2\,b^7}{2}+\frac{405\,a\,b^8}{4}+27\,b^9}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}-\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{512\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^6\,b^3-128\,a^5\,b^4+1129\,a^4\,b^5+5136\,a^3\,b^6+7520\,a^2\,b^7+4800\,a\,b^8+1152\,b^9\right)}{32\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}+\frac{\left(\frac{-2\,a^{13}\,b^2+2\,a^{12}\,b^3+\frac{45\,a^{11}\,b^4}{2}+37\,a^{10}\,b^5+\frac{49\,a^9\,b^6}{2}+6\,a^8\,b^7}{a^{13}+4\,a^{12}\,b+6\,a^{11}\,b^2+4\,a^{10}\,b^3+a^9\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,\left(256\,a^{13}\,b^2+1536\,a^{12}\,b^3+3584\,a^{11}\,b^4+4096\,a^{10}\,b^5+2304\,a^9\,b^6+512\,a^8\,b^7\right)}{512\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)}{16\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(35\,a^2+56\,a\,b+24\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^9+5\,a^8\,b+10\,a^7\,b^2+10\,a^6\,b^3+5\,a^5\,b^4+a^4\,b^5\right)}","Not used",1,"((tan(e + f*x)^5*(19*a*b^3 + 12*b^4 + 4*a^2*b^2))/(8*a^3*(a + b)^2) + (tan(e + f*x)*(25*a*b^2 + 12*a^2*b + 4*a^3 + 12*b^3))/(8*a^3*(a + b)) + (b*tan(e + f*x)^3*(56*a*b^2 + 37*a^2*b + 8*a^3 + 24*b^3))/(8*a^3*(a + b)^2))/(f*(2*a*b + tan(e + f*x)^2*(4*a*b + a^2 + 3*b^2) + a^2 + b^2 + tan(e + f*x)^4*(2*a*b + 3*b^2) + b^2*tan(e + f*x)^6)) + (atan(((((((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) - (tan(e + f*x)*(a*1i - b*6i)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(128*a^4*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4) - (tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i)*1i)/(4*a^4) - (((((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) + (tan(e + f*x)*(a*1i - b*6i)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(128*a^4*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4) + (tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i)*1i)/(4*a^4))/(((405*a*b^8)/4 + 27*b^9 + (261*a^2*b^7)/2 + (1877*a^3*b^6)/32 - (49*a^4*b^5)/64 - (35*a^5*b^4)/16)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) + (((((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) - (tan(e + f*x)*(a*1i - b*6i)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(128*a^4*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4) - (tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4) + (((((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) + (tan(e + f*x)*(a*1i - b*6i)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(128*a^4*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4) + (tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)))*(a*1i - b*6i))/(4*a^4)))*(a*1i - b*6i)*1i)/(2*a^4*f) - (atan(((((tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) - (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(512*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*1i)/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)) + (((tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) + (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(512*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*1i)/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))/(((405*a*b^8)/4 + 27*b^9 + (261*a^2*b^7)/2 + (1877*a^3*b^6)/32 - (49*a^4*b^5)/64 - (35*a^5*b^4)/16)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) - (((tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) - (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(512*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)) + (((tan(e + f*x)*(4800*a*b^8 + 1152*b^9 + 7520*a^2*b^7 + 5136*a^3*b^6 + 1129*a^4*b^5 - 128*a^5*b^4 + 16*a^6*b^3))/(32*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (((6*a^8*b^7 + (49*a^9*b^6)/2 + 37*a^10*b^5 + (45*a^11*b^4)/2 + 2*a^12*b^3 - 2*a^13*b^2)/(4*a^12*b + a^13 + a^9*b^4 + 4*a^10*b^3 + 6*a^11*b^2) + (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*(512*a^8*b^7 + 2304*a^9*b^6 + 4096*a^10*b^5 + 3584*a^11*b^4 + 1536*a^12*b^3 + 256*a^13*b^2))/(512*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2)))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2))/(16*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2))))*(-b^3*(a + b)^5)^(1/2)*(56*a*b + 35*a^2 + 24*b^2)*1i)/(8*f*(5*a^8*b + a^9 + a^4*b^5 + 5*a^5*b^4 + 10*a^6*b^3 + 10*a^7*b^2))","B"
217,1,4158,269,9.586041,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-5\,a^4-3\,a^3\,b+21\,a^2\,b^2+48\,a\,b^3+24\,b^4\right)}{8\,a^4\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-6\,a^4\,b+a^3\,b^2+73\,a^2\,b^3+144\,a\,b^4+72\,b^5\right)}{8\,a^4\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-3\,a^5-10\,a^4\,b+24\,a^3\,b^2+136\,a^2\,b^3+180\,a\,b^4+72\,b^5\right)}{8\,a^4\,{\left(a+b\right)}^2}+\frac{3\,b\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(-a^3\,b+2\,a^2\,b^2+12\,a\,b^3+8\,b^4\right)}{8\,a^4\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2+6\,a\,b+6\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(4\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^8+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,a^2+6\,a\,b+4\,b^2\right)\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,a^5\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,3{}\mathrm{i}}{16\,a^5}-\frac{\left(\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,a^5\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,3{}\mathrm{i}}{16\,a^5}}{\frac{-\frac{567\,a^7\,b^5}{256}+\frac{1215\,a^6\,b^6}{128}-\frac{351\,a^5\,b^7}{64}-\frac{1701\,a^4\,b^8}{32}+\frac{1215\,a^3\,b^9}{4}+\frac{1755\,a^2\,b^{10}}{2}+756\,a\,b^{11}+216\,b^{12}}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}+\frac{3\,\left(\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,a^5\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}+\frac{3\,\left(\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,a^5\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)}{16\,a^5}}\right)\,\left(a^2\,1{}\mathrm{i}-a\,b\,4{}\mathrm{i}+b^2\,16{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a^5\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}-\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}+\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}}{\frac{-\frac{567\,a^7\,b^5}{256}+\frac{1215\,a^6\,b^6}{128}-\frac{351\,a^5\,b^7}{64}-\frac{1701\,a^4\,b^8}{32}+\frac{1215\,a^3\,b^9}{4}+\frac{1755\,a^2\,b^{10}}{2}+756\,a\,b^{11}+216\,b^{12}}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}-\frac{3\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}-\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}+\frac{3\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^8\,b^3-36\,a^7\,b^4+198\,a^6\,b^5+180\,a^5\,b^6+3978\,a^4\,b^7+17568\,a^3\,b^8+27360\,a^2\,b^9+18432\,a\,b^{10}+4608\,b^{11}\right)}{32\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)}+\frac{3\,\left(\frac{\frac{3\,a^{16}\,b^2}{2}+\frac{3\,a^{15}\,b^3}{2}+9\,a^{14}\,b^4+\frac{87\,a^{13}\,b^5}{2}+\frac{141\,a^{12}\,b^6}{2}+48\,a^{11}\,b^7+12\,a^{10}\,b^8}{a^{16}+4\,a^{15}\,b+6\,a^{14}\,b^2+4\,a^{13}\,b^3+a^{12}\,b^4}+\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,\left(256\,a^{15}\,b^2+1536\,a^{14}\,b^3+3584\,a^{13}\,b^4+4096\,a^{12}\,b^5+2304\,a^{11}\,b^6+512\,a^{10}\,b^7\right)}{512\,\left(a^{12}+4\,a^{11}\,b+6\,a^{10}\,b^2+4\,a^9\,b^3+a^8\,b^4\right)\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)}{16\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(21\,a^2+36\,a\,b+16\,b^2\right)\,3{}\mathrm{i}}{8\,f\,\left(a^{10}+5\,a^9\,b+10\,a^8\,b^2+10\,a^7\,b^3+5\,a^6\,b^4+a^5\,b^5\right)}","Not used",1,"(atan(((((tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)) - (3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) - (3*tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*3i)/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)) + (((tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)) + (3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) + (3*tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*3i)/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))/((756*a*b^11 + 216*b^12 + (1755*a^2*b^10)/2 + (1215*a^3*b^9)/4 - (1701*a^4*b^8)/32 - (351*a^5*b^7)/64 + (1215*a^6*b^6)/128 - (567*a^7*b^5)/256)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) - (3*((tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)) - (3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) - (3*tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)) + (3*((tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)) + (3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) + (3*tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2))/(16*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2))))*(-b^5*(a + b)^5)^(1/2)*(36*a*b + 21*a^2 + 16*b^2)*3i)/(8*f*(5*a^9*b + a^10 + a^5*b^5 + 5*a^6*b^4 + 10*a^7*b^3 + 10*a^8*b^2)) - (atan(((((3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) - (3*tan(e + f*x)*(a^2*1i - a*b*4i + b^2*16i)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*a^5*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5) - (tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i)*3i)/(16*a^5) - (((3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) + (3*tan(e + f*x)*(a^2*1i - a*b*4i + b^2*16i)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*a^5*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5) + (tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i)*3i)/(16*a^5))/((756*a*b^11 + 216*b^12 + (1755*a^2*b^10)/2 + (1215*a^3*b^9)/4 - (1701*a^4*b^8)/32 - (351*a^5*b^7)/64 + (1215*a^6*b^6)/128 - (567*a^7*b^5)/256)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) + (3*((3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) - (3*tan(e + f*x)*(a^2*1i - a*b*4i + b^2*16i)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*a^5*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5) - (tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5) + (3*((3*((12*a^10*b^8 + 48*a^11*b^7 + (141*a^12*b^6)/2 + (87*a^13*b^5)/2 + 9*a^14*b^4 + (3*a^15*b^3)/2 + (3*a^16*b^2)/2)/(4*a^15*b + a^16 + a^12*b^4 + 4*a^13*b^3 + 6*a^14*b^2) + (3*tan(e + f*x)*(a^2*1i - a*b*4i + b^2*16i)*(512*a^10*b^7 + 2304*a^11*b^6 + 4096*a^12*b^5 + 3584*a^13*b^4 + 1536*a^14*b^3 + 256*a^15*b^2))/(512*a^5*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5) + (tan(e + f*x)*(18432*a*b^10 + 4608*b^11 + 27360*a^2*b^9 + 17568*a^3*b^8 + 3978*a^4*b^7 + 180*a^5*b^6 + 198*a^6*b^5 - 36*a^7*b^4 + 9*a^8*b^3))/(32*(4*a^11*b + a^12 + a^8*b^4 + 4*a^9*b^3 + 6*a^10*b^2)))*(a^2*1i - a*b*4i + b^2*16i))/(16*a^5)))*(a^2*1i - a*b*4i + b^2*16i)*3i)/(8*a^5*f) - ((tan(e + f*x)*(48*a*b^3 - 3*a^3*b - 5*a^4 + 24*b^4 + 21*a^2*b^2))/(8*a^4*(a + b)) + (tan(e + f*x)^5*(144*a*b^4 - 6*a^4*b + 72*b^5 + 73*a^2*b^3 + a^3*b^2))/(8*a^4*(a + b)^2) + (tan(e + f*x)^3*(180*a*b^4 - 10*a^4*b - 3*a^5 + 72*b^5 + 136*a^2*b^3 + 24*a^3*b^2))/(8*a^4*(a + b)^2) + (3*b*tan(e + f*x)^7*(12*a*b^3 - a^3*b + 8*b^4 + 2*a^2*b^2))/(8*a^4*(a + b)^2))/(f*(2*a*b + tan(e + f*x)^4*(6*a*b + a^2 + 6*b^2) + a^2 + b^2 + tan(e + f*x)^6*(2*a*b + 4*b^2) + b^2*tan(e + f*x)^8 + tan(e + f*x)^2*(6*a*b + 2*a^2 + 4*b^2)))","B"
218,1,4594,352,10.107176,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(11\,a^5+3\,a^4\,b-9\,a^3\,b^2+65\,a^2\,b^3+156\,a\,b^4+80\,b^5\right)}{16\,a^5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(15\,a^5\,b+11\,a^4\,b^2-5\,a^3\,b^3+368\,a^2\,b^4+876\,a\,b^5+480\,b^6\right)}{24\,a^5\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(20\,a^6+41\,a^5\,b-15\,a^4\,b^2+197\,a^3\,b^3+980\,a^2\,b^4+1236\,a\,b^5+480\,b^6\right)}{24\,a^5\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(15\,a^6+86\,a^5\,b+3\,a^4\,b^2+240\,a^3\,b^3+1982\,a^2\,b^4+3168\,a\,b^5+1440\,b^6\right)}{48\,a^5\,{\left(a+b\right)}^2}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^9\,\left(5\,a^4\,b-8\,a^3\,b^2+17\,a^2\,b^3+116\,a\,b^4+80\,b^5\right)}{16\,a^5\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(a^2+8\,a\,b+10\,b^2\right)+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(5\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^{10}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a^2+8\,a\,b+5\,b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,a^2+12\,a\,b+10\,b^2\right)\right)}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{4096\,a^6\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^6}-\frac{\left(\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{4096\,a^6\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^6}}{\frac{-\frac{2475\,a^9\,b^6}{1024}+\frac{4235\,a^8\,b^7}{512}-\frac{25551\,a^7\,b^8}{1024}+\frac{8973\,a^6\,b^9}{512}+\frac{10281\,a^5\,b^{10}}{128}-\frac{4325\,a^4\,b^{11}}{32}+\frac{4597\,a^3\,b^{12}}{4}+\frac{7315\,a^2\,b^{13}}{2}+3350\,a\,b^{14}+1000\,b^{15}}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{4096\,a^6\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}+\frac{\left(\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{4096\,a^6\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)}{32\,a^6}}\right)\,\left(a^3\,5{}\mathrm{i}-a^2\,b\,18{}\mathrm{i}+a\,b^2\,48{}\mathrm{i}-b^3\,160{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^6\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}+\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)\,\left(a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}\right)\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,1{}\mathrm{i}}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}-\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)\,\left(a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}\right)\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,1{}\mathrm{i}}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}}{\frac{-\frac{2475\,a^9\,b^6}{1024}+\frac{4235\,a^8\,b^7}{512}-\frac{25551\,a^7\,b^8}{1024}+\frac{8973\,a^6\,b^9}{512}+\frac{10281\,a^5\,b^{10}}{128}-\frac{4325\,a^4\,b^{11}}{32}+\frac{4597\,a^3\,b^{12}}{4}+\frac{7315\,a^2\,b^{13}}{2}+3350\,a\,b^{14}+1000\,b^{15}}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}+\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)\,\left(a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}\right)\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}-\frac{\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(25\,a^{10}\,b^3-80\,a^9\,b^4+234\,a^8\,b^5-1092\,a^7\,b^6-1119\,a^6\,b^7-36\,a^5\,b^8+39240\,a^4\,b^9+178560\,a^3\,b^{10}+287488\,a^2\,b^{11}+199680\,a\,b^{12}+51200\,b^{13}\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)}-\frac{\left(\frac{-\frac{5\,a^{19}\,b^2}{4}-\frac{7\,a^{18}\,b^3}{4}-2\,a^{17}\,b^4+\frac{25\,a^{16}\,b^5}{2}+\frac{277\,a^{15}\,b^6}{4}+\frac{457\,a^{14}\,b^7}{4}+79\,a^{13}\,b^8+20\,a^{12}\,b^9}{a^{19}+4\,a^{18}\,b+6\,a^{17}\,b^2+4\,a^{16}\,b^3+a^{15}\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,\left(1024\,a^{17}\,b^2+6144\,a^{16}\,b^3+14336\,a^{15}\,b^4+16384\,a^{14}\,b^5+9216\,a^{13}\,b^6+2048\,a^{12}\,b^7\right)}{128\,\left(a^{14}+4\,a^{13}\,b+6\,a^{12}\,b^2+4\,a^{11}\,b^3+a^{10}\,b^4\right)\,\left(a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}\right)\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)}{a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5}}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^5}\,\left(\frac{99\,a^2}{16}+11\,a\,b+5\,b^2\right)\,2{}\mathrm{i}}{f\,\left(a^{11}+5\,a^{10}\,b+10\,a^9\,b^2+10\,a^8\,b^3+5\,a^7\,b^4+a^6\,b^5\right)}","Not used",1,"((tan(e + f*x)*(156*a*b^4 + 3*a^4*b + 11*a^5 + 80*b^5 + 65*a^2*b^3 - 9*a^3*b^2))/(16*a^5*(a + b)) + (tan(e + f*x)^7*(876*a*b^5 + 15*a^5*b + 480*b^6 + 368*a^2*b^4 - 5*a^3*b^3 + 11*a^4*b^2))/(24*a^5*(a + b)^2) + (tan(e + f*x)^3*(1236*a*b^5 + 41*a^5*b + 20*a^6 + 480*b^6 + 980*a^2*b^4 + 197*a^3*b^3 - 15*a^4*b^2))/(24*a^5*(a + b)^2) + (tan(e + f*x)^5*(3168*a*b^5 + 86*a^5*b + 15*a^6 + 1440*b^6 + 1982*a^2*b^4 + 240*a^3*b^3 + 3*a^4*b^2))/(48*a^5*(a + b)^2) + (b*tan(e + f*x)^9*(116*a*b^4 + 5*a^4*b + 80*b^5 + 17*a^2*b^3 - 8*a^3*b^2))/(16*a^5*(a + b)^2))/(f*(2*a*b + tan(e + f*x)^6*(8*a*b + a^2 + 10*b^2) + a^2 + b^2 + tan(e + f*x)^8*(2*a*b + 5*b^2) + b^2*tan(e + f*x)^10 + tan(e + f*x)^2*(8*a*b + 3*a^2 + 5*b^2) + tan(e + f*x)^4*(12*a*b + 3*a^2 + 10*b^2))) - (atan(-((((((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) - (tan(e + f*x)*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(4096*a^6*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6) - (tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*1i)/(32*a^6) - (((((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + (tan(e + f*x)*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(4096*a^6*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6) + (tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*1i)/(32*a^6))/((3350*a*b^14 + 1000*b^15 + (7315*a^2*b^13)/2 + (4597*a^3*b^12)/4 - (4325*a^4*b^11)/32 + (10281*a^5*b^10)/128 + (8973*a^6*b^9)/512 - (25551*a^7*b^8)/1024 + (4235*a^8*b^7)/512 - (2475*a^9*b^6)/1024)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + (((((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) - (tan(e + f*x)*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(4096*a^6*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6) - (tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6) + (((((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + (tan(e + f*x)*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(4096*a^6*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6) + (tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i))/(32*a^6)))*(a*b^2*48i - a^2*b*18i + a^3*5i - b^3*160i)*1i)/(16*a^6*f) - (atan((((-b^7*(a + b)^5)^(1/2)*((tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)) + (((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + (tan(e + f*x)*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)*(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2)))*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))*(11*a*b + (99*a^2)/16 + 5*b^2)*1i)/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2) + ((-b^7*(a + b)^5)^(1/2)*((tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)) - (((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) - (tan(e + f*x)*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)*(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2)))*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))*(11*a*b + (99*a^2)/16 + 5*b^2)*1i)/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))/((3350*a*b^14 + 1000*b^15 + (7315*a^2*b^13)/2 + (4597*a^3*b^12)/4 - (4325*a^4*b^11)/32 + (10281*a^5*b^10)/128 + (8973*a^6*b^9)/512 - (25551*a^7*b^8)/1024 + (4235*a^8*b^7)/512 - (2475*a^9*b^6)/1024)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + ((-b^7*(a + b)^5)^(1/2)*((tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)) + (((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) + (tan(e + f*x)*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)*(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2)))*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2) - ((-b^7*(a + b)^5)^(1/2)*((tan(e + f*x)*(199680*a*b^12 + 51200*b^13 + 287488*a^2*b^11 + 178560*a^3*b^10 + 39240*a^4*b^9 - 36*a^5*b^8 - 1119*a^6*b^7 - 1092*a^7*b^6 + 234*a^8*b^5 - 80*a^9*b^4 + 25*a^10*b^3))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)) - (((20*a^12*b^9 + 79*a^13*b^8 + (457*a^14*b^7)/4 + (277*a^15*b^6)/4 + (25*a^16*b^5)/2 - 2*a^17*b^4 - (7*a^18*b^3)/4 - (5*a^19*b^2)/4)/(4*a^18*b + a^19 + a^15*b^4 + 4*a^16*b^3 + 6*a^17*b^2) - (tan(e + f*x)*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2)*(2048*a^12*b^7 + 9216*a^13*b^6 + 16384*a^14*b^5 + 14336*a^15*b^4 + 6144*a^16*b^3 + 1024*a^17*b^2))/(128*(4*a^13*b + a^14 + a^10*b^4 + 4*a^11*b^3 + 6*a^12*b^2)*(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2)))*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))*(11*a*b + (99*a^2)/16 + 5*b^2))/(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2)))*(-b^7*(a + b)^5)^(1/2)*(11*a*b + (99*a^2)/16 + 5*b^2)*2i)/(f*(5*a^10*b + a^11 + a^6*b^5 + 5*a^7*b^4 + 10*a^8*b^3 + 10*a^9*b^2))","B"
219,1,4506,204,9.462281,"\text{Not used}","int(1/(a + b/cos(c + d*x)^2)^4,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{512\,a^4\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\left(4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8\right)\,1{}\mathrm{i}}{2\,\left(a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6\right)}}{2\,a^4}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{256\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}}{a^4}-\frac{\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{512\,a^4\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\left(4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8\right)\,1{}\mathrm{i}}{2\,\left(a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6\right)}}{2\,a^4}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{256\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}}{a^4}}{\frac{\frac{\left(-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{512\,a^4\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\left(4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8\right)\,1{}\mathrm{i}}{2\,\left(a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6\right)}\right)\,1{}\mathrm{i}}{2\,a^4}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)\,1{}\mathrm{i}}{256\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}}{a^4}+\frac{\frac{\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{512\,a^4\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\left(4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8\right)\,1{}\mathrm{i}}{2\,\left(a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6\right)}\right)\,1{}\mathrm{i}}{2\,a^4}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)\,1{}\mathrm{i}}{256\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}}{a^4}+\frac{\frac{665\,a^5\,b^3}{128}+\frac{525\,a^4\,b^4}{32}+\frac{721\,a^3\,b^5}{32}+\frac{131\,a^2\,b^6}{8}+\frac{25\,a\,b^7}{4}+b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}}\right)}{a^4\,d}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(17\,a^2\,b^2+18\,a\,b^3+6\,b^4\right)}{6\,a^3\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(19\,a^2\,b^3+22\,a\,b^4+8\,b^5\right)}{16\,a^3\,{\left(a+b\right)}^3}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(29\,a^2\,b+26\,a\,b^2+8\,b^3\right)}{16\,a^3\,\left(a+b\right)}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,\left(3\,b^3+3\,a\,b^2\right)+3\,a\,b^2+3\,a^2\,b+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(3\,a^2\,b+6\,a\,b^2+3\,b^3\right)+a^3+b^3+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^6\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{128\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^7}\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{4096\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,1{}\mathrm{i}}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{128\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^7}\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{4096\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,1{}\mathrm{i}}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}}{\frac{\frac{665\,a^5\,b^3}{128}+\frac{525\,a^4\,b^4}{32}+\frac{721\,a^3\,b^5}{32}+\frac{131\,a^2\,b^6}{8}+\frac{25\,a\,b^7}{4}+b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}-\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{128\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^7}\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{4096\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(1481\,a^6\,b^3+6436\,a^5\,b^4+12660\,a^4\,b^5+14080\,a^3\,b^6+9216\,a^2\,b^7+3328\,a\,b^8+512\,b^9\right)}{128\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^7}\,\left(\frac{4\,a^{14}\,b^2+\frac{77\,a^{13}\,b^3}{4}+\frac{161\,a^{12}\,b^4}{4}+\frac{189\,a^{11}\,b^5}{4}+\frac{131\,a^{10}\,b^6}{4}+\frac{25\,a^9\,b^7}{2}+2\,a^8\,b^8}{a^{15}+6\,a^{14}\,b+15\,a^{13}\,b^2+20\,a^{12}\,b^3+15\,a^{11}\,b^4+6\,a^{10}\,b^5+a^9\,b^6}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^7}\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,\left(1024\,a^{15}\,b^2+8192\,a^{14}\,b^3+27648\,a^{13}\,b^4+51200\,a^{12}\,b^5+56320\,a^{11}\,b^6+36864\,a^{10}\,b^7+13312\,a^9\,b^8+2048\,a^8\,b^9\right)}{4096\,\left(a^{12}+6\,a^{11}\,b+15\,a^{10}\,b^2+20\,a^9\,b^3+15\,a^8\,b^4+6\,a^7\,b^5+a^6\,b^6\right)\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}\right)\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)}{32\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^7}\,\left(35\,a^3+70\,a^2\,b+56\,a\,b^2+16\,b^3\right)\,1{}\mathrm{i}}{16\,d\,\left(a^{11}+7\,a^{10}\,b+21\,a^9\,b^2+35\,a^8\,b^3+35\,a^7\,b^4+21\,a^6\,b^5+7\,a^5\,b^6+a^4\,b^7\right)}","Not used",1,"atan((((((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)*1i)/(2*(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2)) - (tan(c + d*x)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(512*a^4*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/(2*a^4) + (tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(256*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/a^4 - ((((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)*1i)/(2*(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2)) + (tan(c + d*x)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(512*a^4*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/(2*a^4) - (tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(256*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/a^4)/((((((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)*1i)/(2*(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2)) - (tan(c + d*x)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(512*a^4*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))*1i)/(2*a^4) + (tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3)*1i)/(256*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/a^4 + (((((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)*1i)/(2*(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2)) + (tan(c + d*x)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(512*a^4*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))*1i)/(2*a^4) - (tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3)*1i)/(256*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)))/a^4 + ((25*a*b^7)/4 + b^8 + (131*a^2*b^6)/8 + (721*a^3*b^5)/32 + (525*a^4*b^4)/32 + (665*a^5*b^3)/128)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2)))/(a^4*d) - ((tan(c + d*x)^3*(18*a*b^3 + 6*b^4 + 17*a^2*b^2))/(6*a^3*(a + b)^2) + (tan(c + d*x)^5*(22*a*b^4 + 8*b^5 + 19*a^2*b^3))/(16*a^3*(a + b)^3) + (tan(c + d*x)*(26*a*b^2 + 29*a^2*b + 8*b^3))/(16*a^3*(a + b)))/(d*(tan(c + d*x)^4*(3*a*b^2 + 3*b^3) + 3*a*b^2 + 3*a^2*b + tan(c + d*x)^2*(6*a*b^2 + 3*a^2*b + 3*b^3) + a^3 + b^3 + b^3*tan(c + d*x)^6)) + (atan((((-b*(a + b)^7)^(1/2)*((tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(128*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)) - ((-b*(a + b)^7)^(1/2)*((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2) - (tan(c + d*x)*(-b*(a + b)^7)^(1/2)*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(4096*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*1i)/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)) + ((-b*(a + b)^7)^(1/2)*((tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(128*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)) + ((-b*(a + b)^7)^(1/2)*((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2) + (tan(c + d*x)*(-b*(a + b)^7)^(1/2)*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(4096*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*1i)/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))/(((25*a*b^7)/4 + b^8 + (131*a^2*b^6)/8 + (721*a^3*b^5)/32 + (525*a^4*b^4)/32 + (665*a^5*b^3)/128)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2) - ((-b*(a + b)^7)^(1/2)*((tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(128*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)) - ((-b*(a + b)^7)^(1/2)*((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2) - (tan(c + d*x)*(-b*(a + b)^7)^(1/2)*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(4096*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)) + ((-b*(a + b)^7)^(1/2)*((tan(c + d*x)*(3328*a*b^8 + 512*b^9 + 9216*a^2*b^7 + 14080*a^3*b^6 + 12660*a^4*b^5 + 6436*a^5*b^4 + 1481*a^6*b^3))/(128*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)) + ((-b*(a + b)^7)^(1/2)*((2*a^8*b^8 + (25*a^9*b^7)/2 + (131*a^10*b^6)/4 + (189*a^11*b^5)/4 + (161*a^12*b^4)/4 + (77*a^13*b^3)/4 + 4*a^14*b^2)/(6*a^14*b + a^15 + a^9*b^6 + 6*a^10*b^5 + 15*a^11*b^4 + 20*a^12*b^3 + 15*a^13*b^2) + (tan(c + d*x)*(-b*(a + b)^7)^(1/2)*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*(2048*a^8*b^9 + 13312*a^9*b^8 + 36864*a^10*b^7 + 56320*a^11*b^6 + 51200*a^12*b^5 + 27648*a^13*b^4 + 8192*a^14*b^3 + 1024*a^15*b^2))/(4096*(6*a^11*b + a^12 + a^6*b^6 + 6*a^7*b^5 + 15*a^8*b^4 + 20*a^9*b^3 + 15*a^10*b^2)*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2)))*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3))/(32*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2))))*(-b*(a + b)^7)^(1/2)*(56*a*b^2 + 70*a^2*b + 35*a^3 + 16*b^3)*1i)/(16*d*(7*a^10*b + a^11 + a^4*b^7 + 7*a^5*b^6 + 21*a^6*b^5 + 35*a^7*b^4 + 35*a^8*b^3 + 21*a^9*b^2))","B"
220,0,-1,134,0.000000,"\text{Not used}","int((a - a/cos(c + d*x)^2)^(7/2),x)","\int {\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{7/2} \,d x","Not used",1,"int((a - a/cos(c + d*x)^2)^(7/2), x)","F"
221,0,-1,101,0.000000,"\text{Not used}","int((a - a/cos(c + d*x)^2)^(5/2),x)","\int {\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{5/2} \,d x","Not used",1,"int((a - a/cos(c + d*x)^2)^(5/2), x)","F"
222,0,-1,64,0.000000,"\text{Not used}","int((a - a/cos(c + d*x)^2)^(3/2),x)","\int {\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a - a/cos(c + d*x)^2)^(3/2), x)","F"
223,0,-1,33,0.000000,"\text{Not used}","int((a - a/cos(c + d*x)^2)^(1/2),x)","\int \sqrt{a-\frac{a}{{\cos\left(c+d\,x\right)}^2}} \,d x","Not used",1,"int((a - a/cos(c + d*x)^2)^(1/2), x)","F"
224,0,-1,32,0.000000,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a-\frac{a}{{\cos\left(c+d\,x\right)}^2}}} \,d x","Not used",1,"int(1/(a - a/cos(c + d*x)^2)^(1/2), x)","F"
225,0,-1,67,0.000000,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^(3/2),x)","\int \frac{1}{{\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a - a/cos(c + d*x)^2)^(3/2), x)","F"
226,0,-1,100,0.000000,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^(5/2),x)","\int \frac{1}{{\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a - a/cos(c + d*x)^2)^(5/2), x)","F"
227,0,-1,133,0.000000,"\text{Not used}","int(1/(a - a/cos(c + d*x)^2)^(7/2),x)","\int \frac{1}{{\left(a-\frac{a}{{\cos\left(c+d\,x\right)}^2}\right)}^{7/2}} \,d x","Not used",1,"int(1/(a - a/cos(c + d*x)^2)^(7/2), x)","F"
228,0,-1,372,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^5,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\cos\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^5, x)","F"
229,0,-1,288,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^3,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\cos\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^3, x)","F"
230,0,-1,218,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x),x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x), x)","F"
231,0,-1,80,0.000000,"\text{Not used}","int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2),x)","\int \cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
232,0,-1,246,0.000000,"\text{Not used}","int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\cos\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
233,0,-1,338,0.000000,"\text{Not used}","int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\cos\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
234,0,-1,186,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^6,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\cos\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^6, x)","F"
235,0,-1,122,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^4,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\cos\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^4, x)","F"
236,0,-1,76,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^2,x)","\int \frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{{\cos\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2)/cos(e + f*x)^2, x)","F"
237,0,-1,79,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2),x)","\int \sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2), x)","F"
238,0,-1,82,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
239,0,-1,140,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\cos\left(e+f\,x\right)}^4\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
240,0,-1,196,0.000000,"\text{Not used}","int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\cos\left(e+f\,x\right)}^6\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
241,0,-1,450,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^5,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\cos\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^5, x)","F"
242,0,-1,371,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^3,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\cos\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^3, x)","F"
243,0,-1,290,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x),x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x), x)","F"
244,0,-1,224,0.000000,"\text{Not used}","int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2),x)","\int \cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
245,0,-1,241,0.000000,"\text{Not used}","int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\cos\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
246,0,-1,319,0.000000,"\text{Not used}","int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\cos\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
247,0,-1,243,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^6,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\cos\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^6, x)","F"
248,0,-1,165,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^4,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\cos\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^4, x)","F"
249,0,-1,111,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^2,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{{\cos\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2)/cos(e + f*x)^2, x)","F"
250,0,-1,118,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2),x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2), x)","F"
251,0,-1,124,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\cos\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
252,0,-1,125,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\cos\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
253,0,-1,193,0.000000,"\text{Not used}","int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\cos\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
254,0,-1,166,0.000000,"\text{Not used}","int((a + b/cos(c + d*x)^2)^(5/2),x)","\int {\left(a+\frac{b}{{\cos\left(c+d\,x\right)}^2}\right)}^{5/2} \,d x","Not used",1,"int((a + b/cos(c + d*x)^2)^(5/2), x)","F"
255,0,-1,42,0.000000,"\text{Not used}","int((1/cos(x)^2 + 1)^(3/2),x)","\int {\left(\frac{1}{{\cos\left(x\right)}^2}+1\right)}^{3/2} \,d x","Not used",1,"int((1/cos(x)^2 + 1)^(3/2), x)","F"
256,0,-1,24,0.000000,"\text{Not used}","int((1/cos(x)^2 + 1)^(1/2),x)","\int \sqrt{\frac{1}{{\cos\left(x\right)}^2}+1} \,d x","Not used",1,"int((1/cos(x)^2 + 1)^(1/2), x)","F"
257,0,-1,330,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
258,0,-1,170,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
259,0,-1,80,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
260,0,-1,105,0.000000,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{\cos\left(e+f\,x\right)}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
261,0,-1,255,0.000000,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^3}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
262,0,-1,345,0.000000,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^5}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
263,0,-1,137,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^6\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
264,0,-1,81,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^4\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
265,0,-1,39,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2)), x)","F"
266,0,-1,39,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
267,0,-1,87,0.000000,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^2}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
268,0,-1,143,0.000000,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^4}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
269,0,-1,204,0.000000,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^6}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
270,0,-1,289,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
271,0,-1,150,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
272,0,-1,229,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
273,0,-1,240,0.000000,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{\cos\left(e+f\,x\right)}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
274,0,-1,335,0.000000,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
275,0,-1,436,0.000000,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
276,0,-1,138,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
277,0,-1,77,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2)), x)","F"
278,1,199,32,6.290640,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2)),x)","\frac{\sqrt{\frac{a+2\,b+a\,\cos\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(5\,a\,\sin\left(2\,e+2\,f\,x\right)+4\,a\,\sin\left(4\,e+4\,f\,x\right)+a\,\sin\left(6\,e+6\,f\,x\right)+8\,b\,\sin\left(2\,e+2\,f\,x\right)+4\,b\,\sin\left(4\,e+4\,f\,x\right)\right)}{f\,\left(a+b\right)\,\left(24\,a\,b+10\,a^2+16\,b^2+15\,a^2\,\cos\left(2\,e+2\,f\,x\right)+6\,a^2\,\cos\left(4\,e+4\,f\,x\right)+a^2\,\cos\left(6\,e+6\,f\,x\right)+16\,b^2\,\cos\left(2\,e+2\,f\,x\right)+32\,a\,b\,\cos\left(2\,e+2\,f\,x\right)+8\,a\,b\,\cos\left(4\,e+4\,f\,x\right)\right)}","Not used",1,"(((a + 2*b + a*cos(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2)*(5*a*sin(2*e + 2*f*x) + 4*a*sin(4*e + 4*f*x) + a*sin(6*e + 6*f*x) + 8*b*sin(2*e + 2*f*x) + 4*b*sin(4*e + 4*f*x)))/(f*(a + b)*(24*a*b + 10*a^2 + 16*b^2 + 15*a^2*cos(2*e + 2*f*x) + 6*a^2*cos(4*e + 4*f*x) + a^2*cos(6*e + 6*f*x) + 16*b^2*cos(2*e + 2*f*x) + 32*a*b*cos(2*e + 2*f*x) + 8*a*b*cos(4*e + 4*f*x)))","B"
279,0,-1,77,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
280,0,-1,131,0.000000,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
281,0,-1,194,0.000000,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
282,0,-1,271,0.000000,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
283,0,-1,321,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
284,0,-1,319,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
285,0,-1,327,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
286,0,-1,349,0.000000,"\text{Not used}","int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{\cos\left(e+f\,x\right)}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
287,0,-1,441,0.000000,"\text{Not used}","int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
288,0,-1,559,0.000000,"\text{Not used}","int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
289,0,-1,133,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(5/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^(5/2)), x)","F"
290,1,153,79,12.666384,"\text{Not used}","int(1/(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^(5/2)),x)","-\frac{2\,\left({\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}-1\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(a\,1{}\mathrm{i}+a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,4{}\mathrm{i}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}+b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,6{}\mathrm{i}\right)}{3\,f\,{\left(a+b\right)}^2\,{\left(a+2\,a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+4\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}^2}","Not used",1,"-(2*(exp(e*4i + f*x*4i) - 1)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(a*1i + a*exp(e*2i + f*x*2i)*4i + a*exp(e*4i + f*x*4i)*1i + b*exp(e*2i + f*x*2i)*6i))/(3*f*(a + b)^2*(a + 2*a*exp(e*2i + f*x*2i) + a*exp(e*4i + f*x*4i) + 4*b*exp(e*2i + f*x*2i))^2)","B"
291,1,172,71,13.901992,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^(5/2)),x)","-\frac{\left({\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}-1\right)\,\sqrt{a+\frac{b}{{\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}\right)}^2}}\,\left(a\,3{}\mathrm{i}+b\,1{}\mathrm{i}+a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,6{}\mathrm{i}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,3{}\mathrm{i}+b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,10{}\mathrm{i}+b\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}\right)}{3\,f\,{\left(a+b\right)}^2\,{\left(a+2\,a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+4\,b\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}^2}","Not used",1,"-((exp(e*4i + f*x*4i) - 1)*(a + b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2)^2)^(1/2)*(a*3i + b*1i + a*exp(e*2i + f*x*2i)*6i + a*exp(e*4i + f*x*4i)*3i + b*exp(e*2i + f*x*2i)*10i + b*exp(e*4i + f*x*4i)*1i))/(3*f*(a + b)^2*(a + 2*a*exp(e*2i + f*x*2i) + a*exp(e*4i + f*x*4i) + 4*b*exp(e*2i + f*x*2i))^2)","B"
292,0,-1,125,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
293,0,-1,187,0.000000,"\text{Not used}","int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
294,0,-1,261,0.000000,"\text{Not used}","int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
295,0,-1,332,0.000000,"\text{Not used}","int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cos(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
296,0,-1,179,0.000000,"\text{Not used}","int(1/(a + b/cos(c + d*x)^2)^(7/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(c+d\,x\right)}^2}\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b/cos(c + d*x)^2)^(7/2), x)","F"
297,0,-1,14,0.000000,"\text{Not used}","int(1/(1/cos(x)^2 + 1)^(1/2),x)","\int \frac{1}{\sqrt{\frac{1}{{\cos\left(x\right)}^2}+1}} \,d x","Not used",1,"int(1/(1/cos(x)^2 + 1)^(1/2), x)","F"
298,0,-1,111,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p*(d/cos(e + f*x))^m,x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p*(d/cos(e + f*x))^m, x)","F"
299,0,-1,103,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^3,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\cos\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^3, x)","F"
300,0,-1,103,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/cos(e + f*x),x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/cos(e + f*x), x)","F"
301,0,-1,101,0.000000,"\text{Not used}","int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^p,x)","\int \cos\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)*(a + b/cos(e + f*x)^2)^p, x)","F"
302,0,-1,103,0.000000,"\text{Not used}","int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^p,x)","\int {\cos\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)^3*(a + b/cos(e + f*x)^2)^p, x)","F"
303,0,-1,103,0.000000,"\text{Not used}","int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^p,x)","\int {\cos\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)^5*(a + b/cos(e + f*x)^2)^p, x)","F"
304,0,-1,216,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^6,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\cos\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^6, x)","F"
305,0,-1,129,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^4,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\cos\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^4, x)","F"
306,0,-1,72,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^2,x)","\int \frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p}{{\cos\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p/cos(e + f*x)^2, x)","F"
307,0,-1,83,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p,x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p, x)","F"
308,0,-1,83,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^p,x)","\int {\cos\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)^2*(a + b/cos(e + f*x)^2)^p, x)","F"
309,0,-1,83,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^p,x)","\int {\cos\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)^4*(a + b/cos(e + f*x)^2)^p, x)","F"
310,0,-1,83,0.000000,"\text{Not used}","int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^p,x)","\int {\cos\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cos(e + f*x)^6*(a + b/cos(e + f*x)^2)^p, x)","F"
311,1,52,72,4.698606,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2),x)","\frac{\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2}-\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^6}{6}}{f}","Not used",1,"((a*log(tan(e + f*x)^2 + 1))/2 - (a*tan(e + f*x)^2)/2 + (a*tan(e + f*x)^4)/4 + (b*tan(e + f*x)^6)/6)/f","B"
312,1,46,49,4.784969,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2),x)","\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}-\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4\,f}","Not used",1,"(a*tan(e + f*x)^2)/(2*f) - (a*log(tan(e + f*x)^2 + 1))/(2*f) + (b*tan(e + f*x)^4)/(4*f)","B"
313,1,32,30,4.927193,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^2),x)","\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(a*log(tan(e + f*x)^2 + 1))/(2*f) + (b*tan(e + f*x)^2)/(2*f)","B"
314,1,32,28,4.868423,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^2),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a+b\right)}{f}-\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}","Not used",1,"(log(tan(e + f*x))*(a + b))/f - (a*log(tan(e + f*x)^2 + 1))/(2*f)","B"
315,1,51,32,6.142826,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2),x)","\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}-\frac{a\,\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f}-\frac{{\mathrm{cot}\left(e+f\,x\right)}^2\,\left(\frac{a}{2}+\frac{b}{2}\right)}{f}","Not used",1,"(a*log(tan(e + f*x)^2 + 1))/(2*f) - (a*log(tan(e + f*x)))/f - (cot(e + f*x)^2*(a/2 + b/2))/f","B"
316,1,61,51,6.098936,"\text{Not used}","int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2),x)","\frac{a\,\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f}-\frac{a\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}-\frac{-\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+\frac{a}{4}+\frac{b}{4}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^4}","Not used",1,"(a*log(tan(e + f*x)))/f - (a*log(tan(e + f*x)^2 + 1))/(2*f) - (a/4 + b/4 - (a*tan(e + f*x)^2)/2)/(f*tan(e + f*x)^4)","B"
317,1,51,64,4.985817,"\text{Not used}","int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2),x)","\frac{\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^7}{7}+\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}-\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}+a\,\mathrm{tan}\left(e+f\,x\right)-a\,f\,x}{f}","Not used",1,"(a*tan(e + f*x) - (a*tan(e + f*x)^3)/3 + (a*tan(e + f*x)^5)/5 + (b*tan(e + f*x)^7)/7 - a*f*x)/f","B"
318,1,40,48,4.681443,"\text{Not used}","int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2),x)","\frac{\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}+\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}-a\,\mathrm{tan}\left(e+f\,x\right)+a\,f\,x}{f}","Not used",1,"((a*tan(e + f*x)^3)/3 - a*tan(e + f*x) + (b*tan(e + f*x)^5)/5 + a*f*x)/f","B"
319,1,29,32,4.520028,"\text{Not used}","int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2),x)","\frac{\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}+a\,\mathrm{tan}\left(e+f\,x\right)-a\,f\,x}{f}","Not used",1,"(a*tan(e + f*x) + (b*tan(e + f*x)^3)/3 - a*f*x)/f","B"
320,1,17,15,4.514585,"\text{Not used}","int(a + b/cos(e + f*x)^2,x)","\frac{b\,\mathrm{tan}\left(e+f\,x\right)+a\,f\,x}{f}","Not used",1,"(b*tan(e + f*x) + a*f*x)/f","B"
321,1,19,19,4.498086,"\text{Not used}","int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2),x)","-a\,x-\frac{\mathrm{cot}\left(e+f\,x\right)\,\left(a+b\right)}{f}","Not used",1,"- a*x - (cot(e + f*x)*(a + b))/f","B"
322,1,35,33,4.671075,"\text{Not used}","int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2),x)","a\,x-\frac{-a\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{a}{3}+\frac{b}{3}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}","Not used",1,"a*x - (a/3 + b/3 - a*tan(e + f*x)^2)/(f*tan(e + f*x)^3)","B"
323,1,46,51,4.885773,"\text{Not used}","int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2),x)","-a\,x-\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^4-\frac{a\,{\mathrm{tan}\left(e+f\,x\right)}^2}{3}+\frac{a}{5}+\frac{b}{5}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}","Not used",1,"- a*x - (a/5 + b/5 - (a*tan(e + f*x)^2)/3 + a*tan(e + f*x)^4)/(f*tan(e + f*x)^5)","B"
324,1,124,100,4.509495,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^2,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{{\left(a+b\right)}^2}{4}+\frac{b^2}{4}-\frac{b\,\left(a+b\right)}{2}\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{{\left(a+b\right)}^2}{2}+\frac{b^2}{2}-b\,\left(a+b\right)\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(\frac{b^2}{6}-\frac{b\,\left(a+b\right)}{3}\right)}{f}+\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^8}{8\,f}","Not used",1,"(tan(e + f*x)^4*((a + b)^2/4 + b^2/4 - (b*(a + b))/2))/f - (tan(e + f*x)^2*((a + b)^2/2 + b^2/2 - b*(a + b)))/f - (tan(e + f*x)^6*(b^2/6 - (b*(a + b))/3))/f + (a^2*log(tan(e + f*x)^2 + 1))/(2*f) + (b^2*tan(e + f*x)^8)/(8*f)","B"
325,1,92,77,4.544490,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^2,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{{\left(a+b\right)}^2}{2}+\frac{b^2}{2}-b\,\left(a+b\right)\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{b^2}{4}-\frac{b\,\left(a+b\right)}{2}\right)}{f}-\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^6}{6\,f}","Not used",1,"(tan(e + f*x)^2*((a + b)^2/2 + b^2/2 - b*(a + b)))/f - (tan(e + f*x)^4*(b^2/4 - (b*(a + b))/2))/f - (a^2*log(tan(e + f*x)^2 + 1))/(2*f) + (b^2*tan(e + f*x)^6)/(6*f)","B"
326,1,61,48,4.500510,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^2)^2,x)","\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{b^2}{2}-b\,\left(a+b\right)\right)}{f}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4\,f}","Not used",1,"(a^2*log(tan(e + f*x)^2 + 1))/(2*f) - (tan(e + f*x)^2*(b^2/2 - b*(a + b)))/f + (b^2*tan(e + f*x)^4)/(4*f)","B"
327,1,58,53,4.483167,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^2,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^2+2\,a\,b+b^2\right)}{f}-\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(log(tan(e + f*x))*(2*a*b + a^2 + b^2))/f - (a^2*log(tan(e + f*x)^2 + 1))/(2*f) + (b^2*tan(e + f*x)^2)/(2*f)","B"
328,1,68,57,4.582404,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^2,x)","\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^2-b^2\right)}{f}-\frac{{\mathrm{cot}\left(e+f\,x\right)}^2\,\left(\frac{a^2}{2}+a\,b+\frac{b^2}{2}\right)}{f}","Not used",1,"(a^2*log(tan(e + f*x)^2 + 1))/(2*f) - (log(tan(e + f*x))*(a^2 - b^2))/f - (cot(e + f*x)^2*(a*b + a^2/2 + b^2/2))/f","B"
329,1,83,51,4.612862,"\text{Not used}","int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2)^2,x)","\frac{a^2\,\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f}-\frac{\frac{a\,b}{2}+\frac{a^2}{4}+\frac{b^2}{4}-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)}{f\,{\mathrm{tan}\left(e+f\,x\right)}^4}-\frac{a^2\,\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,f}","Not used",1,"(a^2*log(tan(e + f*x)))/f - ((a*b)/2 + a^2/4 + b^2/4 - tan(e + f*x)^2*(a^2/2 - b^2/2))/(f*tan(e + f*x)^4) - (a^2*log(tan(e + f*x)^2 + 1))/(2*f)","B"
330,1,126,95,4.541149,"\text{Not used}","int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left({\left(a+b\right)}^2+b^2-2\,b\,\left(a+b\right)\right)-{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{{\left(a+b\right)}^2}{3}+\frac{b^2}{3}-\frac{2\,b\,\left(a+b\right)}{3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(\frac{{\left(a+b\right)}^2}{5}+\frac{b^2}{5}-\frac{2\,b\,\left(a+b\right)}{5}\right)-{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(\frac{b^2}{7}-\frac{2\,b\,\left(a+b\right)}{7}\right)+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^9}{9}-a^2\,f\,x}{f}","Not used",1,"(tan(e + f*x)*((a + b)^2 + b^2 - 2*b*(a + b)) - tan(e + f*x)^3*((a + b)^2/3 + b^2/3 - (2*b*(a + b))/3) + tan(e + f*x)^5*((a + b)^2/5 + b^2/5 - (2*b*(a + b))/5) - tan(e + f*x)^7*(b^2/7 - (2*b*(a + b))/7) + (b^2*tan(e + f*x)^9)/9 - a^2*f*x)/f","B"
331,1,97,77,4.575337,"\text{Not used}","int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^2,x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{{\left(a+b\right)}^2}{3}+\frac{b^2}{3}-\frac{2\,b\,\left(a+b\right)}{3}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left({\left(a+b\right)}^2+b^2-2\,b\,\left(a+b\right)\right)-{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(\frac{b^2}{5}-\frac{2\,b\,\left(a+b\right)}{5}\right)+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^7}{7}+a^2\,f\,x}{f}","Not used",1,"(tan(e + f*x)^3*((a + b)^2/3 + b^2/3 - (2*b*(a + b))/3) - tan(e + f*x)*((a + b)^2 + b^2 - 2*b*(a + b)) - tan(e + f*x)^5*(b^2/5 - (2*b*(a + b))/5) + (b^2*tan(e + f*x)^7)/7 + a^2*f*x)/f","B"
332,1,69,59,4.658042,"\text{Not used}","int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left({\left(a+b\right)}^2+b^2-2\,b\,\left(a+b\right)\right)-{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{b^2}{3}-\frac{2\,b\,\left(a+b\right)}{3}\right)+\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}-a^2\,f\,x}{f}","Not used",1,"(tan(e + f*x)*((a + b)^2 + b^2 - 2*b*(a + b)) - tan(e + f*x)^3*(b^2/3 - (2*b*(a + b))/3) + (b^2*tan(e + f*x)^5)/5 - a^2*f*x)/f","B"
333,1,42,40,4.580893,"\text{Not used}","int((a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{b^2\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}-\mathrm{tan}\left(e+f\,x\right)\,\left(b^2-2\,b\,\left(a+b\right)\right)+a^2\,f\,x}{f}","Not used",1,"((b^2*tan(e + f*x)^3)/3 - tan(e + f*x)*(b^2 - 2*b*(a + b)) + a^2*f*x)/f","B"
334,1,44,36,4.641633,"\text{Not used}","int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^2,x)","\frac{b^2\,\mathrm{tan}\left(e+f\,x\right)}{f}-a^2\,x-\frac{a^2+2\,a\,b+b^2}{f\,\mathrm{tan}\left(e+f\,x\right)}","Not used",1,"(b^2*tan(e + f*x))/f - a^2*x - (2*a*b + a^2 + b^2)/(f*tan(e + f*x))","B"
335,1,53,45,4.607706,"\text{Not used}","int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^2,x)","a^2\,x-\frac{\frac{2\,a\,b}{3}-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2-b^2\right)+\frac{a^2}{3}+\frac{b^2}{3}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}","Not used",1,"a^2*x - ((2*a*b)/3 - tan(e + f*x)^2*(a^2 - b^2) + a^2/3 + b^2/3)/(f*tan(e + f*x)^3)","B"
336,1,68,65,4.836842,"\text{Not used}","int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2)^2,x)","-a^2\,x-\frac{\frac{2\,a\,b}{5}+\frac{a^2}{5}+\frac{b^2}{5}-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{a^2}{3}-\frac{b^2}{3}\right)+a^2\,{\mathrm{tan}\left(e+f\,x\right)}^4}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}","Not used",1,"- a^2*x - ((2*a*b)/5 + a^2/5 + b^2/5 - tan(e + f*x)^2*(a^2/3 - b^2/3) + a^2*tan(e + f*x)^4)/(f*tan(e + f*x)^5)","B"
337,1,103,69,4.612274,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2),x)","\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a\,f}-\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{b\,f}-\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,a\,f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,b\,f}-\frac{a\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,b^2\,f}","Not used",1,"log(tan(e + f*x)^2 + 1)/(2*a*f) - log(a + b + b*tan(e + f*x)^2)/(b*f) - log(a + b + b*tan(e + f*x)^2)/(2*a*f) + tan(e + f*x)^2/(2*b*f) - (a*log(a + b + b*tan(e + f*x)^2))/(2*b^2*f)","B"
338,1,64,45,4.485819,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2),x)","\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,a\,f}+\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,b\,f}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a\,f}","Not used",1,"log(a + b + b*tan(e + f*x)^2)/(2*a*f) + log(a + b + b*tan(e + f*x)^2)/(2*b*f) - log(tan(e + f*x)^2 + 1)/(2*a*f)","B"
339,1,63,23,4.558230,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atanh}\left(\frac{a}{2\,\left(\frac{3\,a}{2}+2\,b+\frac{a\,\cos\left(2\,e+2\,f\,x\right)}{2}\right)}-\frac{a\,\cos\left(2\,e+2\,f\,x\right)}{2\,\left(\frac{3\,a}{2}+2\,b+\frac{a\,\cos\left(2\,e+2\,f\,x\right)}{2}\right)}\right)}{a\,f}","Not used",1,"atanh(a/(2*((3*a)/2 + 2*b + (a*cos(2*e + 2*f*x))/2)) - (a*cos(2*e + 2*f*x))/(2*((3*a)/2 + 2*b + (a*cos(2*e + 2*f*x))/2)))/(a*f)","B"
340,1,65,46,4.695217,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f\,\left(a+b\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a\,f}+\frac{b\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,f\,\left(a^2+b\,a\right)}","Not used",1,"log(tan(e + f*x))/(f*(a + b)) - log(tan(e + f*x)^2 + 1)/(2*a*f) + (b*log(a + b + b*tan(e + f*x)^2))/(2*f*(a*b + a^2))","B"
341,1,98,74,4.935239,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2),x)","\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a\,f}-\frac{{\mathrm{cot}\left(e+f\,x\right)}^2}{2\,f\,\left(a+b\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a+2\,b\right)}{f\,\left(a^2+2\,a\,b+b^2\right)}-\frac{b^2\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,a\,f\,{\left(a+b\right)}^2}","Not used",1,"log(tan(e + f*x)^2 + 1)/(2*a*f) - cot(e + f*x)^2/(2*f*(a + b)) - (log(tan(e + f*x))*(a + 2*b))/(f*(2*a*b + a^2 + b^2)) - (b^2*log(a + b + b*tan(e + f*x)^2))/(2*a*f*(a + b)^2)","B"
342,1,160,108,4.905069,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^2+3\,a\,b+3\,b^2\right)}{f\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a\,f}-\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(\frac{b}{2\,{\left(a+b\right)}^2}+\frac{1}{2\,\left(a+b\right)}+\frac{b^2}{2\,{\left(a+b\right)}^3}-\frac{1}{2\,a}\right)}{f}-\frac{{\mathrm{cot}\left(e+f\,x\right)}^4\,\left(\frac{1}{4\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a+2\,b\right)}{2\,{\left(a+b\right)}^2}\right)}{f}","Not used",1,"(log(tan(e + f*x))*(3*a*b + a^2 + 3*b^2))/(f*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) - log(tan(e + f*x)^2 + 1)/(2*a*f) - (log(a + b + b*tan(e + f*x)^2)*(b/(2*(a + b)^2) + 1/(2*(a + b)) + b^2/(2*(a + b)^3) - 1/(2*a)))/f - (cot(e + f*x)^4*(1/(4*(a + b)) - (tan(e + f*x)^2*(a + 2*b))/(2*(a + b)^2)))/f","B"
343,1,1109,83,4.923076,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2),x)","\frac{{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,b\,f}-\frac{\mathrm{atan}\left(\frac{40\,a^2\,\mathrm{tan}\left(e+f\,x\right)}{30\,a\,b+40\,a^2+10\,b^2+\frac{30\,a^3}{b}+\frac{12\,a^4}{b^2}+\frac{2\,a^5}{b^3}}+\frac{30\,a^3\,\mathrm{tan}\left(e+f\,x\right)}{30\,a\,b^2+40\,a^2\,b+30\,a^3+10\,b^3+\frac{12\,a^4}{b}+\frac{2\,a^5}{b^2}}+\frac{12\,a^4\,\mathrm{tan}\left(e+f\,x\right)}{30\,a\,b^3+30\,a^3\,b+12\,a^4+10\,b^4+40\,a^2\,b^2+\frac{2\,a^5}{b}}+\frac{2\,a^5\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^5+12\,a^4\,b+30\,a^3\,b^2+40\,a^2\,b^3+30\,a\,b^4+10\,b^5}+\frac{10\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{30\,a\,b+40\,a^2+10\,b^2+\frac{30\,a^3}{b}+\frac{12\,a^4}{b^2}+\frac{2\,a^5}{b^3}}+\frac{30\,a\,b\,\mathrm{tan}\left(e+f\,x\right)}{30\,a\,b+40\,a^2+10\,b^2+\frac{30\,a^3}{b}+\frac{12\,a^4}{b^2}+\frac{2\,a^5}{b^3}}\right)}{a\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+2\,b\right)}{b^2\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+2\,b^6\right)}{b^3}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{4\,a^4\,b^3+12\,a^3\,b^4+8\,a^2\,b^5}{b^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^3\,b^5+8\,a^2\,b^6\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}}{a\,b^8}\right)}{2\,a\,b^5}\right)\,1{}\mathrm{i}}{2\,a\,b^5}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+2\,b^6\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{4\,a^4\,b^3+12\,a^3\,b^4+8\,a^2\,b^5}{b^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^3\,b^5+8\,a^2\,b^6\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}}{a\,b^8}\right)}{2\,a\,b^5}\right)\,1{}\mathrm{i}}{2\,a\,b^5}}{\frac{2\,\left(a^5+6\,a^4\,b+15\,a^3\,b^2+19\,a^2\,b^3+12\,a\,b^4+3\,b^5\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+2\,b^6\right)}{b^3}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{4\,a^4\,b^3+12\,a^3\,b^4+8\,a^2\,b^5}{b^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^3\,b^5+8\,a^2\,b^6\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}}{a\,b^8}\right)}{2\,a\,b^5}\right)}{2\,a\,b^5}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{2\,\mathrm{tan}\left(e+f\,x\right)\,\left(a^6+6\,a^5\,b+15\,a^4\,b^2+20\,a^3\,b^3+15\,a^2\,b^4+6\,a\,b^5+2\,b^6\right)}{b^3}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{4\,a^4\,b^3+12\,a^3\,b^4+8\,a^2\,b^5}{b^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,a^3\,b^5+8\,a^2\,b^6\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}}{a\,b^8}\right)}{2\,a\,b^5}\right)}{2\,a\,b^5}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,1{}\mathrm{i}}{a\,b^5\,f}","Not used",1,"tan(e + f*x)^3/(3*b*f) - atan((40*a^2*tan(e + f*x))/(30*a*b + 40*a^2 + 10*b^2 + (30*a^3)/b + (12*a^4)/b^2 + (2*a^5)/b^3) + (30*a^3*tan(e + f*x))/(30*a*b^2 + 40*a^2*b + 30*a^3 + 10*b^3 + (12*a^4)/b + (2*a^5)/b^2) + (12*a^4*tan(e + f*x))/(30*a*b^3 + 30*a^3*b + 12*a^4 + 10*b^4 + 40*a^2*b^2 + (2*a^5)/b) + (2*a^5*tan(e + f*x))/(30*a*b^4 + 12*a^4*b + 2*a^5 + 10*b^5 + 40*a^2*b^3 + 30*a^3*b^2) + (10*b^2*tan(e + f*x))/(30*a*b + 40*a^2 + 10*b^2 + (30*a^3)/b + (12*a^4)/b^2 + (2*a^5)/b^3) + (30*a*b*tan(e + f*x))/(30*a*b + 40*a^2 + 10*b^2 + (30*a^3)/b + (12*a^4)/b^2 + (2*a^5)/b^3))/(a*f) - (tan(e + f*x)*(a + 2*b))/(b^2*f) - (atan((((-b^5*(a + b)^5)^(1/2)*((2*tan(e + f*x)*(6*a*b^5 + 6*a^5*b + a^6 + 2*b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))/b^3 + ((-b^5*(a + b)^5)^(1/2)*((8*a^2*b^5 + 12*a^3*b^4 + 4*a^4*b^3)/b^3 + (tan(e + f*x)*(8*a^2*b^6 + 4*a^3*b^5)*(-b^5*(a + b)^5)^(1/2))/(a*b^8)))/(2*a*b^5))*1i)/(2*a*b^5) + ((-b^5*(a + b)^5)^(1/2)*((2*tan(e + f*x)*(6*a*b^5 + 6*a^5*b + a^6 + 2*b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))/b^3 - ((-b^5*(a + b)^5)^(1/2)*((8*a^2*b^5 + 12*a^3*b^4 + 4*a^4*b^3)/b^3 - (tan(e + f*x)*(8*a^2*b^6 + 4*a^3*b^5)*(-b^5*(a + b)^5)^(1/2))/(a*b^8)))/(2*a*b^5))*1i)/(2*a*b^5))/((2*(12*a*b^4 + 6*a^4*b + a^5 + 3*b^5 + 19*a^2*b^3 + 15*a^3*b^2))/b^3 - ((-b^5*(a + b)^5)^(1/2)*((2*tan(e + f*x)*(6*a*b^5 + 6*a^5*b + a^6 + 2*b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))/b^3 + ((-b^5*(a + b)^5)^(1/2)*((8*a^2*b^5 + 12*a^3*b^4 + 4*a^4*b^3)/b^3 + (tan(e + f*x)*(8*a^2*b^6 + 4*a^3*b^5)*(-b^5*(a + b)^5)^(1/2))/(a*b^8)))/(2*a*b^5)))/(2*a*b^5) + ((-b^5*(a + b)^5)^(1/2)*((2*tan(e + f*x)*(6*a*b^5 + 6*a^5*b + a^6 + 2*b^6 + 15*a^2*b^4 + 20*a^3*b^3 + 15*a^4*b^2))/b^3 - ((-b^5*(a + b)^5)^(1/2)*((8*a^2*b^5 + 12*a^3*b^4 + 4*a^4*b^3)/b^3 - (tan(e + f*x)*(8*a^2*b^6 + 4*a^3*b^5)*(-b^5*(a + b)^5)^(1/2))/(a*b^8)))/(2*a*b^5)))/(2*a*b^5)))*(-b^5*(a + b)^5)^(1/2)*1i)/(a*b^5*f)","B"
344,1,410,59,4.683939,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atan}\left(\frac{8\,a^2\,\mathrm{tan}\left(e+f\,x\right)}{12\,a\,b+8\,a^2+6\,b^2+\frac{2\,a^3}{b}}+\frac{2\,a^3\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^3+8\,a^2\,b+12\,a\,b^2+6\,b^3}+\frac{6\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{12\,a\,b+8\,a^2+6\,b^2+\frac{2\,a^3}{b}}+\frac{12\,a\,b\,\mathrm{tan}\left(e+f\,x\right)}{12\,a\,b+8\,a^2+6\,b^2+\frac{2\,a^3}{b}}\right)}{a\,f}+\frac{\mathrm{tan}\left(e+f\,x\right)}{b\,f}+\frac{\mathrm{atanh}\left(\frac{6\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}}{18\,a\,b^2+20\,a^2\,b+10\,a^3+6\,b^3+\frac{2\,a^4}{b}}+\frac{6\,a\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}}{2\,a^4+10\,a^3\,b+20\,a^2\,b^2+18\,a\,b^3+6\,b^4}+\frac{2\,a^2\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}}{2\,a^4\,b+10\,a^3\,b^2+20\,a^2\,b^3+18\,a\,b^4+6\,b^5}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^3}}{a\,b^3\,f}","Not used",1,"atan((8*a^2*tan(e + f*x))/(12*a*b + 8*a^2 + 6*b^2 + (2*a^3)/b) + (2*a^3*tan(e + f*x))/(12*a*b^2 + 8*a^2*b + 2*a^3 + 6*b^3) + (6*b^2*tan(e + f*x))/(12*a*b + 8*a^2 + 6*b^2 + (2*a^3)/b) + (12*a*b*tan(e + f*x))/(12*a*b + 8*a^2 + 6*b^2 + (2*a^3)/b))/(a*f) + tan(e + f*x)/(b*f) + (atanh((6*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2))/(18*a*b^2 + 20*a^2*b + 10*a^3 + 6*b^3 + (2*a^4)/b) + (6*a*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2))/(18*a*b^3 + 10*a^3*b + 2*a^4 + 6*b^4 + 20*a^2*b^2) + (2*a^2*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2))/(18*a*b^4 + 2*a^4*b + 6*b^5 + 20*a^2*b^3 + 10*a^3*b^2))*(-b^3*(a + b)^3)^(1/2))/(a*b^3*f)","B"
345,1,126,46,4.716534,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2),x)","-\frac{\mathrm{atan}\left(\frac{2\,a\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^2\,b+2\,a\,b^2}+\frac{2\,a^2\,b\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^2\,b+2\,a\,b^2}\right)}{a\,f}-\frac{\mathrm{atanh}\left(\frac{2\,a\,b^2\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^2-a\,b}}{2\,a^2\,b^2+2\,a\,b^3}\right)\,\sqrt{-b\,\left(a+b\right)}}{a\,b\,f}","Not used",1,"- atan((2*a*b^2*tan(e + f*x))/(2*a*b^2 + 2*a^2*b) + (2*a^2*b*tan(e + f*x))/(2*a*b^2 + 2*a^2*b))/(a*f) - (atanh((2*a*b^2*tan(e + f*x)*(- a*b - b^2)^(1/2))/(2*a*b^3 + 2*a^2*b^2))*(-b*(a + b))^(1/2))/(a*b*f)","B"
346,1,460,45,4.855868,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2),x)","\frac{x}{a}-\frac{\mathrm{atan}\left(\frac{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}+\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{a^2+b\,a}}{\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)-\frac{\left(2\,a^2\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}-\frac{\left(2\,b^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{\left(2\,a^2\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(8\,a^3\,b^2+16\,a^2\,b^3\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{2\,\left(a^2+b\,a\right)}\right)\,\sqrt{-b\,\left(a+b\right)}}{a^2+b\,a}}\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{f\,\left(a^2+b\,a\right)}","Not used",1,"x/a - (atan((((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2) + ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(a*b + a^2))/(((2*b^3*tan(e + f*x) - ((2*a^2*b^2 - (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2) - ((2*b^3*tan(e + f*x) + ((2*a^2*b^2 + (tan(e + f*x)*(16*a^2*b^3 + 8*a^3*b^2)*(-b*(a + b))^(1/2))/(4*(a*b + a^2)))*(-b*(a + b))^(1/2))/(2*(a*b + a^2)))*(-b*(a + b))^(1/2))/(a*b + a^2)))*(-b*(a + b))^(1/2)*1i)/(f*(a*b + a^2))","B"
347,1,637,62,6.252290,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2),x)","-\frac{a\,b^2+2\,a^2\,b+a^3+a^3\,\mathrm{tan}\left(e+f\,x\right)\,\mathrm{atan}\left(\mathrm{tan}\left(e+f\,x\right)\right)+b^3\,\mathrm{tan}\left(e+f\,x\right)\,\mathrm{atan}\left(\mathrm{tan}\left(e+f\,x\right)\right)+3\,a\,b^2\,\mathrm{tan}\left(e+f\,x\right)\,\mathrm{atan}\left(\mathrm{tan}\left(e+f\,x\right)\right)+3\,a^2\,b\,\mathrm{tan}\left(e+f\,x\right)\,\mathrm{atan}\left(\mathrm{tan}\left(e+f\,x\right)\right)-\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(e+f\,x\right)\,{\left(-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6\right)}^{3/2}\,1{}\mathrm{i}+b\,\mathrm{tan}\left(e+f\,x\right)\,{\left(-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6\right)}^{3/2}\,2{}\mathrm{i}+b^7\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,2{}\mathrm{i}+a\,b^6\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,10{}\mathrm{i}+a^6\,b\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,1{}\mathrm{i}+a^2\,b^5\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,21{}\mathrm{i}+a^3\,b^4\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,24{}\mathrm{i}+a^4\,b^3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,16{}\mathrm{i}+a^5\,b^2\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,6{}\mathrm{i}}{a^8\,b^2+8\,a^7\,b^3+28\,a^6\,b^4+55\,a^5\,b^5+65\,a^4\,b^6+46\,a^3\,b^7+18\,a^2\,b^8+3\,a\,b^9}\right)\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^3-3\,a^2\,b^4-3\,a\,b^5-b^6}\,1{}\mathrm{i}}{f\,\mathrm{tan}\left(e+f\,x\right)\,a^4+3\,f\,\mathrm{tan}\left(e+f\,x\right)\,a^3\,b+3\,f\,\mathrm{tan}\left(e+f\,x\right)\,a^2\,b^2+f\,\mathrm{tan}\left(e+f\,x\right)\,a\,b^3}","Not used",1,"-(a*b^2 + 2*a^2*b + a^3 - atan((a*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(3/2)*1i + b*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(3/2)*2i + b^7*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*2i + a*b^6*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*10i + a^6*b*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*1i + a^2*b^5*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*21i + a^3*b^4*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*24i + a^4*b^3*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*16i + a^5*b^2*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*6i)/(3*a*b^9 + 18*a^2*b^8 + 46*a^3*b^7 + 65*a^4*b^6 + 55*a^5*b^5 + 28*a^6*b^4 + 8*a^7*b^3 + a^8*b^2))*tan(e + f*x)*(- 3*a*b^5 - b^6 - 3*a^2*b^4 - a^3*b^3)^(1/2)*1i + a^3*tan(e + f*x)*atan(tan(e + f*x)) + b^3*tan(e + f*x)*atan(tan(e + f*x)) + 3*a*b^2*tan(e + f*x)*atan(tan(e + f*x)) + 3*a^2*b*tan(e + f*x)*atan(tan(e + f*x)))/(a^4*f*tan(e + f*x) + a*b^3*f*tan(e + f*x) + 3*a^3*b*f*tan(e + f*x) + 3*a^2*b^2*f*tan(e + f*x))","B"
348,1,2644,86,8.973289,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2),x)","\frac{\mathrm{atan}\left(\frac{10\,b^{12}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{80\,a\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{290\,a^2\,b^{10}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{630\,a^3\,b^9\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{912\,a^4\,b^8\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{922\,a^5\,b^7\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{660\,a^6\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{330\,a^7\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{110\,a^8\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{22\,a^9\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}+\frac{2\,a^{10}\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{10}\,b^2+22\,a^9\,b^3+110\,a^8\,b^4+330\,a^7\,b^5+660\,a^6\,b^6+922\,a^5\,b^7+912\,a^4\,b^8+630\,a^3\,b^9+290\,a^2\,b^{10}+80\,a\,b^{11}+10\,b^{12}}\right)}{a\,f}-\frac{\frac{1}{3\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a+2\,b\right)}{{\left(a+b\right)}^2}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^3}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{10}\,b^3+20\,a^9\,b^4+90\,a^8\,b^5+240\,a^7\,b^6+422\,a^6\,b^7+516\,a^5\,b^8+450\,a^4\,b^9+280\,a^3\,b^{10}+120\,a^2\,b^{11}+32\,a\,b^{12}+4\,b^{13}\right)}{2}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(6\,a^2\,b^{12}+54\,a^3\,b^{11}+218\,a^4\,b^{10}+520\,a^5\,b^9+812\,a^6\,b^8+868\,a^7\,b^7+644\,a^8\,b^6+328\,a^9\,b^5+110\,a^{10}\,b^4+22\,a^{11}\,b^3+2\,a^{12}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(8\,a^{13}\,b^2+96\,a^{12}\,b^3+520\,a^{11}\,b^4+1680\,a^{10}\,b^5+3600\,a^9\,b^6+5376\,a^8\,b^7+5712\,a^7\,b^8+4320\,a^6\,b^9+2280\,a^5\,b^{10}+800\,a^4\,b^{11}+168\,a^3\,b^{12}+16\,a^2\,b^{13}\right)}{4\,a\,{\left(a+b\right)}^5}\right)}{2\,a\,{\left(a+b\right)}^5}\right)\,1{}\mathrm{i}}{a\,{\left(a+b\right)}^5}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{10}\,b^3+20\,a^9\,b^4+90\,a^8\,b^5+240\,a^7\,b^6+422\,a^6\,b^7+516\,a^5\,b^8+450\,a^4\,b^9+280\,a^3\,b^{10}+120\,a^2\,b^{11}+32\,a\,b^{12}+4\,b^{13}\right)}{2}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(6\,a^2\,b^{12}+54\,a^3\,b^{11}+218\,a^4\,b^{10}+520\,a^5\,b^9+812\,a^6\,b^8+868\,a^7\,b^7+644\,a^8\,b^6+328\,a^9\,b^5+110\,a^{10}\,b^4+22\,a^{11}\,b^3+2\,a^{12}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(8\,a^{13}\,b^2+96\,a^{12}\,b^3+520\,a^{11}\,b^4+1680\,a^{10}\,b^5+3600\,a^9\,b^6+5376\,a^8\,b^7+5712\,a^7\,b^8+4320\,a^6\,b^9+2280\,a^5\,b^{10}+800\,a^4\,b^{11}+168\,a^3\,b^{12}+16\,a^2\,b^{13}\right)}{4\,a\,{\left(a+b\right)}^5}\right)}{2\,a\,{\left(a+b\right)}^5}\right)\,1{}\mathrm{i}}{a\,{\left(a+b\right)}^5}}{26\,a\,b^{11}+4\,b^{12}+72\,a^2\,b^{10}+110\,a^3\,b^9+100\,a^4\,b^8+54\,a^5\,b^7+16\,a^6\,b^6+2\,a^7\,b^5+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{10}\,b^3+20\,a^9\,b^4+90\,a^8\,b^5+240\,a^7\,b^6+422\,a^6\,b^7+516\,a^5\,b^8+450\,a^4\,b^9+280\,a^3\,b^{10}+120\,a^2\,b^{11}+32\,a\,b^{12}+4\,b^{13}\right)}{2}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(6\,a^2\,b^{12}+54\,a^3\,b^{11}+218\,a^4\,b^{10}+520\,a^5\,b^9+812\,a^6\,b^8+868\,a^7\,b^7+644\,a^8\,b^6+328\,a^9\,b^5+110\,a^{10}\,b^4+22\,a^{11}\,b^3+2\,a^{12}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(8\,a^{13}\,b^2+96\,a^{12}\,b^3+520\,a^{11}\,b^4+1680\,a^{10}\,b^5+3600\,a^9\,b^6+5376\,a^8\,b^7+5712\,a^7\,b^8+4320\,a^6\,b^9+2280\,a^5\,b^{10}+800\,a^4\,b^{11}+168\,a^3\,b^{12}+16\,a^2\,b^{13}\right)}{4\,a\,{\left(a+b\right)}^5}\right)}{2\,a\,{\left(a+b\right)}^5}\right)}{a\,{\left(a+b\right)}^5}-\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{10}\,b^3+20\,a^9\,b^4+90\,a^8\,b^5+240\,a^7\,b^6+422\,a^6\,b^7+516\,a^5\,b^8+450\,a^4\,b^9+280\,a^3\,b^{10}+120\,a^2\,b^{11}+32\,a\,b^{12}+4\,b^{13}\right)}{2}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(6\,a^2\,b^{12}+54\,a^3\,b^{11}+218\,a^4\,b^{10}+520\,a^5\,b^9+812\,a^6\,b^8+868\,a^7\,b^7+644\,a^8\,b^6+328\,a^9\,b^5+110\,a^{10}\,b^4+22\,a^{11}\,b^3+2\,a^{12}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,\left(8\,a^{13}\,b^2+96\,a^{12}\,b^3+520\,a^{11}\,b^4+1680\,a^{10}\,b^5+3600\,a^9\,b^6+5376\,a^8\,b^7+5712\,a^7\,b^8+4320\,a^6\,b^9+2280\,a^5\,b^{10}+800\,a^4\,b^{11}+168\,a^3\,b^{12}+16\,a^2\,b^{13}\right)}{4\,a\,{\left(a+b\right)}^5}\right)}{2\,a\,{\left(a+b\right)}^5}\right)}{a\,{\left(a+b\right)}^5}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^5}\,1{}\mathrm{i}}{a\,f\,{\left(a+b\right)}^5}","Not used",1,"atan((10*b^12*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (80*a*b^11*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (290*a^2*b^10*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (630*a^3*b^9*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (912*a^4*b^8*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (922*a^5*b^7*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (660*a^6*b^6*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (330*a^7*b^5*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (110*a^8*b^4*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (22*a^9*b^3*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2) + (2*a^10*b^2*tan(e + f*x))/(80*a*b^11 + 10*b^12 + 290*a^2*b^10 + 630*a^3*b^9 + 912*a^4*b^8 + 922*a^5*b^7 + 660*a^6*b^6 + 330*a^7*b^5 + 110*a^8*b^4 + 22*a^9*b^3 + 2*a^10*b^2))/(a*f) - (1/(3*(a + b)) - (tan(e + f*x)^2*(a + 2*b))/(a + b)^2)/(f*tan(e + f*x)^3) - (atan((((-b^5*(a + b)^5)^(1/2)*((tan(e + f*x)*(32*a*b^12 + 4*b^13 + 120*a^2*b^11 + 280*a^3*b^10 + 450*a^4*b^9 + 516*a^5*b^8 + 422*a^6*b^7 + 240*a^7*b^6 + 90*a^8*b^5 + 20*a^9*b^4 + 2*a^10*b^3))/2 - ((-b^5*(a + b)^5)^(1/2)*(6*a^2*b^12 + 54*a^3*b^11 + 218*a^4*b^10 + 520*a^5*b^9 + 812*a^6*b^8 + 868*a^7*b^7 + 644*a^8*b^6 + 328*a^9*b^5 + 110*a^10*b^4 + 22*a^11*b^3 + 2*a^12*b^2 - (tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(16*a^2*b^13 + 168*a^3*b^12 + 800*a^4*b^11 + 2280*a^5*b^10 + 4320*a^6*b^9 + 5712*a^7*b^8 + 5376*a^8*b^7 + 3600*a^9*b^6 + 1680*a^10*b^5 + 520*a^11*b^4 + 96*a^12*b^3 + 8*a^13*b^2))/(4*a*(a + b)^5)))/(2*a*(a + b)^5))*1i)/(a*(a + b)^5) + ((-b^5*(a + b)^5)^(1/2)*((tan(e + f*x)*(32*a*b^12 + 4*b^13 + 120*a^2*b^11 + 280*a^3*b^10 + 450*a^4*b^9 + 516*a^5*b^8 + 422*a^6*b^7 + 240*a^7*b^6 + 90*a^8*b^5 + 20*a^9*b^4 + 2*a^10*b^3))/2 + ((-b^5*(a + b)^5)^(1/2)*(6*a^2*b^12 + 54*a^3*b^11 + 218*a^4*b^10 + 520*a^5*b^9 + 812*a^6*b^8 + 868*a^7*b^7 + 644*a^8*b^6 + 328*a^9*b^5 + 110*a^10*b^4 + 22*a^11*b^3 + 2*a^12*b^2 + (tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(16*a^2*b^13 + 168*a^3*b^12 + 800*a^4*b^11 + 2280*a^5*b^10 + 4320*a^6*b^9 + 5712*a^7*b^8 + 5376*a^8*b^7 + 3600*a^9*b^6 + 1680*a^10*b^5 + 520*a^11*b^4 + 96*a^12*b^3 + 8*a^13*b^2))/(4*a*(a + b)^5)))/(2*a*(a + b)^5))*1i)/(a*(a + b)^5))/(26*a*b^11 + 4*b^12 + 72*a^2*b^10 + 110*a^3*b^9 + 100*a^4*b^8 + 54*a^5*b^7 + 16*a^6*b^6 + 2*a^7*b^5 + ((-b^5*(a + b)^5)^(1/2)*((tan(e + f*x)*(32*a*b^12 + 4*b^13 + 120*a^2*b^11 + 280*a^3*b^10 + 450*a^4*b^9 + 516*a^5*b^8 + 422*a^6*b^7 + 240*a^7*b^6 + 90*a^8*b^5 + 20*a^9*b^4 + 2*a^10*b^3))/2 - ((-b^5*(a + b)^5)^(1/2)*(6*a^2*b^12 + 54*a^3*b^11 + 218*a^4*b^10 + 520*a^5*b^9 + 812*a^6*b^8 + 868*a^7*b^7 + 644*a^8*b^6 + 328*a^9*b^5 + 110*a^10*b^4 + 22*a^11*b^3 + 2*a^12*b^2 - (tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(16*a^2*b^13 + 168*a^3*b^12 + 800*a^4*b^11 + 2280*a^5*b^10 + 4320*a^6*b^9 + 5712*a^7*b^8 + 5376*a^8*b^7 + 3600*a^9*b^6 + 1680*a^10*b^5 + 520*a^11*b^4 + 96*a^12*b^3 + 8*a^13*b^2))/(4*a*(a + b)^5)))/(2*a*(a + b)^5)))/(a*(a + b)^5) - ((-b^5*(a + b)^5)^(1/2)*((tan(e + f*x)*(32*a*b^12 + 4*b^13 + 120*a^2*b^11 + 280*a^3*b^10 + 450*a^4*b^9 + 516*a^5*b^8 + 422*a^6*b^7 + 240*a^7*b^6 + 90*a^8*b^5 + 20*a^9*b^4 + 2*a^10*b^3))/2 + ((-b^5*(a + b)^5)^(1/2)*(6*a^2*b^12 + 54*a^3*b^11 + 218*a^4*b^10 + 520*a^5*b^9 + 812*a^6*b^8 + 868*a^7*b^7 + 644*a^8*b^6 + 328*a^9*b^5 + 110*a^10*b^4 + 22*a^11*b^3 + 2*a^12*b^2 + (tan(e + f*x)*(-b^5*(a + b)^5)^(1/2)*(16*a^2*b^13 + 168*a^3*b^12 + 800*a^4*b^11 + 2280*a^5*b^10 + 4320*a^6*b^9 + 5712*a^7*b^8 + 5376*a^8*b^7 + 3600*a^9*b^6 + 1680*a^10*b^5 + 520*a^11*b^4 + 96*a^12*b^3 + 8*a^13*b^2))/(4*a*(a + b)^5)))/(2*a*(a + b)^5)))/(a*(a + b)^5)))*(-b^5*(a + b)^5)^(1/2)*1i)/(a*f*(a + b)^5)","B"
349,1,4324,120,10.169978,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2),x)","-\frac{\mathrm{atan}\left(\frac{14\,b^{17}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{952\,a^2\,b^{15}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{3388\,a^3\,b^{14}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{8484\,a^4\,b^{13}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{15848\,a^5\,b^{12}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{22808\,a^6\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{25722\,a^7\,b^{10}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{22878\,a^8\,b^9\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{16016\,a^9\,b^8\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{8736\,a^{10}\,b^7\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{3640\,a^{11}\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{1120\,a^{12}\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{240\,a^{13}\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{32\,a^{14}\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{2\,a^{15}\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}+\frac{168\,a\,b^{16}\,\mathrm{tan}\left(e+f\,x\right)}{2\,a^{15}\,b^2+32\,a^{14}\,b^3+240\,a^{13}\,b^4+1120\,a^{12}\,b^5+3640\,a^{11}\,b^6+8736\,a^{10}\,b^7+16016\,a^9\,b^8+22878\,a^8\,b^9+25722\,a^7\,b^{10}+22808\,a^6\,b^{11}+15848\,a^5\,b^{12}+8484\,a^4\,b^{13}+3388\,a^3\,b^{14}+952\,a^2\,b^{15}+168\,a\,b^{16}+14\,b^{17}}\right)}{a\,f}-\frac{\frac{1}{5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2+3\,a\,b+3\,b^2\right)}{{\left(a+b\right)}^3}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a+2\,b\right)}{3\,{\left(a+b\right)}^2}}{f\,{\mathrm{tan}\left(e+f\,x\right)}^5}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{15}\,b^3+30\,a^{14}\,b^4+210\,a^{13}\,b^5+910\,a^{12}\,b^6+2730\,a^{11}\,b^7+6006\,a^{10}\,b^8+10012\,a^9\,b^9+12888\,a^8\,b^{10}+12942\,a^7\,b^{11}+10178\,a^6\,b^{12}+6258\,a^5\,b^{13}+2982\,a^4\,b^{14}+1078\,a^3\,b^{15}+282\,a^2\,b^{16}+48\,a\,b^{17}+4\,b^{18}\right)}{2}-\frac{\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^2\,b^{17}+108\,a^3\,b^{16}+680\,a^4\,b^{15}+2650\,a^5\,b^{14}+7152\,a^6\,b^{13}+14168\,a^7\,b^{12}+21296\,a^8\,b^{11}+24750\,a^9\,b^{10}+22440\,a^{10}\,b^9+15884\,a^{11}\,b^8+8712\,a^{12}\,b^7+3638\,a^{13}\,b^6+1120\,a^{14}\,b^5+240\,a^{15}\,b^4+32\,a^{16}\,b^3+2\,a^{17}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^{18}\,b^2+136\,a^{17}\,b^3+1080\,a^{16}\,b^4+5320\,a^{15}\,b^5+18200\,a^{14}\,b^6+45864\,a^{13}\,b^7+88088\,a^{12}\,b^8+131560\,a^{11}\,b^9+154440\,a^{10}\,b^{10}+143000\,a^9\,b^{11}+104104\,a^8\,b^{12}+58968\,a^7\,b^{13}+25480\,a^6\,b^{14}+8120\,a^5\,b^{15}+1800\,a^4\,b^{16}+248\,a^3\,b^{17}+16\,a^2\,b^{18}\right)}{4\,a\,{\left(a+b\right)}^7}\right)}{2\,a\,{\left(a+b\right)}^7}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,1{}\mathrm{i}}{a\,{\left(a+b\right)}^7}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{15}\,b^3+30\,a^{14}\,b^4+210\,a^{13}\,b^5+910\,a^{12}\,b^6+2730\,a^{11}\,b^7+6006\,a^{10}\,b^8+10012\,a^9\,b^9+12888\,a^8\,b^{10}+12942\,a^7\,b^{11}+10178\,a^6\,b^{12}+6258\,a^5\,b^{13}+2982\,a^4\,b^{14}+1078\,a^3\,b^{15}+282\,a^2\,b^{16}+48\,a\,b^{17}+4\,b^{18}\right)}{2}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^2\,b^{17}+108\,a^3\,b^{16}+680\,a^4\,b^{15}+2650\,a^5\,b^{14}+7152\,a^6\,b^{13}+14168\,a^7\,b^{12}+21296\,a^8\,b^{11}+24750\,a^9\,b^{10}+22440\,a^{10}\,b^9+15884\,a^{11}\,b^8+8712\,a^{12}\,b^7+3638\,a^{13}\,b^6+1120\,a^{14}\,b^5+240\,a^{15}\,b^4+32\,a^{16}\,b^3+2\,a^{17}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^{18}\,b^2+136\,a^{17}\,b^3+1080\,a^{16}\,b^4+5320\,a^{15}\,b^5+18200\,a^{14}\,b^6+45864\,a^{13}\,b^7+88088\,a^{12}\,b^8+131560\,a^{11}\,b^9+154440\,a^{10}\,b^{10}+143000\,a^9\,b^{11}+104104\,a^8\,b^{12}+58968\,a^7\,b^{13}+25480\,a^6\,b^{14}+8120\,a^5\,b^{15}+1800\,a^4\,b^{16}+248\,a^3\,b^{17}+16\,a^2\,b^{18}\right)}{4\,a\,{\left(a+b\right)}^7}\right)}{2\,a\,{\left(a+b\right)}^7}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,1{}\mathrm{i}}{a\,{\left(a+b\right)}^7}}{60\,a\,b^{16}+6\,b^{17}+272\,a^2\,b^{15}+738\,a^3\,b^{14}+1332\,a^4\,b^{13}+1680\,a^5\,b^{12}+1512\,a^6\,b^{11}+972\,a^7\,b^{10}+438\,a^8\,b^9+132\,a^9\,b^8+24\,a^{10}\,b^7+2\,a^{11}\,b^6+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{15}\,b^3+30\,a^{14}\,b^4+210\,a^{13}\,b^5+910\,a^{12}\,b^6+2730\,a^{11}\,b^7+6006\,a^{10}\,b^8+10012\,a^9\,b^9+12888\,a^8\,b^{10}+12942\,a^7\,b^{11}+10178\,a^6\,b^{12}+6258\,a^5\,b^{13}+2982\,a^4\,b^{14}+1078\,a^3\,b^{15}+282\,a^2\,b^{16}+48\,a\,b^{17}+4\,b^{18}\right)}{2}-\frac{\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^2\,b^{17}+108\,a^3\,b^{16}+680\,a^4\,b^{15}+2650\,a^5\,b^{14}+7152\,a^6\,b^{13}+14168\,a^7\,b^{12}+21296\,a^8\,b^{11}+24750\,a^9\,b^{10}+22440\,a^{10}\,b^9+15884\,a^{11}\,b^8+8712\,a^{12}\,b^7+3638\,a^{13}\,b^6+1120\,a^{14}\,b^5+240\,a^{15}\,b^4+32\,a^{16}\,b^3+2\,a^{17}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^{18}\,b^2+136\,a^{17}\,b^3+1080\,a^{16}\,b^4+5320\,a^{15}\,b^5+18200\,a^{14}\,b^6+45864\,a^{13}\,b^7+88088\,a^{12}\,b^8+131560\,a^{11}\,b^9+154440\,a^{10}\,b^{10}+143000\,a^9\,b^{11}+104104\,a^8\,b^{12}+58968\,a^7\,b^{13}+25480\,a^6\,b^{14}+8120\,a^5\,b^{15}+1800\,a^4\,b^{16}+248\,a^3\,b^{17}+16\,a^2\,b^{18}\right)}{4\,a\,{\left(a+b\right)}^7}\right)}{2\,a\,{\left(a+b\right)}^7}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}}{a\,{\left(a+b\right)}^7}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(2\,a^{15}\,b^3+30\,a^{14}\,b^4+210\,a^{13}\,b^5+910\,a^{12}\,b^6+2730\,a^{11}\,b^7+6006\,a^{10}\,b^8+10012\,a^9\,b^9+12888\,a^8\,b^{10}+12942\,a^7\,b^{11}+10178\,a^6\,b^{12}+6258\,a^5\,b^{13}+2982\,a^4\,b^{14}+1078\,a^3\,b^{15}+282\,a^2\,b^{16}+48\,a\,b^{17}+4\,b^{18}\right)}{2}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^2\,b^{17}+108\,a^3\,b^{16}+680\,a^4\,b^{15}+2650\,a^5\,b^{14}+7152\,a^6\,b^{13}+14168\,a^7\,b^{12}+21296\,a^8\,b^{11}+24750\,a^9\,b^{10}+22440\,a^{10}\,b^9+15884\,a^{11}\,b^8+8712\,a^{12}\,b^7+3638\,a^{13}\,b^6+1120\,a^{14}\,b^5+240\,a^{15}\,b^4+32\,a^{16}\,b^3+2\,a^{17}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,\left(8\,a^{18}\,b^2+136\,a^{17}\,b^3+1080\,a^{16}\,b^4+5320\,a^{15}\,b^5+18200\,a^{14}\,b^6+45864\,a^{13}\,b^7+88088\,a^{12}\,b^8+131560\,a^{11}\,b^9+154440\,a^{10}\,b^{10}+143000\,a^9\,b^{11}+104104\,a^8\,b^{12}+58968\,a^7\,b^{13}+25480\,a^6\,b^{14}+8120\,a^5\,b^{15}+1800\,a^4\,b^{16}+248\,a^3\,b^{17}+16\,a^2\,b^{18}\right)}{4\,a\,{\left(a+b\right)}^7}\right)}{2\,a\,{\left(a+b\right)}^7}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}}{a\,{\left(a+b\right)}^7}}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^7}\,1{}\mathrm{i}}{a\,f\,{\left(a+b\right)}^7}","Not used",1,"(atan(((((tan(e + f*x)*(48*a*b^17 + 4*b^18 + 282*a^2*b^16 + 1078*a^3*b^15 + 2982*a^4*b^14 + 6258*a^5*b^13 + 10178*a^6*b^12 + 12942*a^7*b^11 + 12888*a^8*b^10 + 10012*a^9*b^9 + 6006*a^10*b^8 + 2730*a^11*b^7 + 910*a^12*b^6 + 210*a^13*b^5 + 30*a^14*b^4 + 2*a^15*b^3))/2 - ((-b^7*(a + b)^7)^(1/2)*(8*a^2*b^17 + 108*a^3*b^16 + 680*a^4*b^15 + 2650*a^5*b^14 + 7152*a^6*b^13 + 14168*a^7*b^12 + 21296*a^8*b^11 + 24750*a^9*b^10 + 22440*a^10*b^9 + 15884*a^11*b^8 + 8712*a^12*b^7 + 3638*a^13*b^6 + 1120*a^14*b^5 + 240*a^15*b^4 + 32*a^16*b^3 + 2*a^17*b^2 - (tan(e + f*x)*(-b^7*(a + b)^7)^(1/2)*(16*a^2*b^18 + 248*a^3*b^17 + 1800*a^4*b^16 + 8120*a^5*b^15 + 25480*a^6*b^14 + 58968*a^7*b^13 + 104104*a^8*b^12 + 143000*a^9*b^11 + 154440*a^10*b^10 + 131560*a^11*b^9 + 88088*a^12*b^8 + 45864*a^13*b^7 + 18200*a^14*b^6 + 5320*a^15*b^5 + 1080*a^16*b^4 + 136*a^17*b^3 + 8*a^18*b^2))/(4*a*(a + b)^7)))/(2*a*(a + b)^7))*(-b^7*(a + b)^7)^(1/2)*1i)/(a*(a + b)^7) + (((tan(e + f*x)*(48*a*b^17 + 4*b^18 + 282*a^2*b^16 + 1078*a^3*b^15 + 2982*a^4*b^14 + 6258*a^5*b^13 + 10178*a^6*b^12 + 12942*a^7*b^11 + 12888*a^8*b^10 + 10012*a^9*b^9 + 6006*a^10*b^8 + 2730*a^11*b^7 + 910*a^12*b^6 + 210*a^13*b^5 + 30*a^14*b^4 + 2*a^15*b^3))/2 + ((-b^7*(a + b)^7)^(1/2)*(8*a^2*b^17 + 108*a^3*b^16 + 680*a^4*b^15 + 2650*a^5*b^14 + 7152*a^6*b^13 + 14168*a^7*b^12 + 21296*a^8*b^11 + 24750*a^9*b^10 + 22440*a^10*b^9 + 15884*a^11*b^8 + 8712*a^12*b^7 + 3638*a^13*b^6 + 1120*a^14*b^5 + 240*a^15*b^4 + 32*a^16*b^3 + 2*a^17*b^2 + (tan(e + f*x)*(-b^7*(a + b)^7)^(1/2)*(16*a^2*b^18 + 248*a^3*b^17 + 1800*a^4*b^16 + 8120*a^5*b^15 + 25480*a^6*b^14 + 58968*a^7*b^13 + 104104*a^8*b^12 + 143000*a^9*b^11 + 154440*a^10*b^10 + 131560*a^11*b^9 + 88088*a^12*b^8 + 45864*a^13*b^7 + 18200*a^14*b^6 + 5320*a^15*b^5 + 1080*a^16*b^4 + 136*a^17*b^3 + 8*a^18*b^2))/(4*a*(a + b)^7)))/(2*a*(a + b)^7))*(-b^7*(a + b)^7)^(1/2)*1i)/(a*(a + b)^7))/(60*a*b^16 + 6*b^17 + 272*a^2*b^15 + 738*a^3*b^14 + 1332*a^4*b^13 + 1680*a^5*b^12 + 1512*a^6*b^11 + 972*a^7*b^10 + 438*a^8*b^9 + 132*a^9*b^8 + 24*a^10*b^7 + 2*a^11*b^6 + (((tan(e + f*x)*(48*a*b^17 + 4*b^18 + 282*a^2*b^16 + 1078*a^3*b^15 + 2982*a^4*b^14 + 6258*a^5*b^13 + 10178*a^6*b^12 + 12942*a^7*b^11 + 12888*a^8*b^10 + 10012*a^9*b^9 + 6006*a^10*b^8 + 2730*a^11*b^7 + 910*a^12*b^6 + 210*a^13*b^5 + 30*a^14*b^4 + 2*a^15*b^3))/2 - ((-b^7*(a + b)^7)^(1/2)*(8*a^2*b^17 + 108*a^3*b^16 + 680*a^4*b^15 + 2650*a^5*b^14 + 7152*a^6*b^13 + 14168*a^7*b^12 + 21296*a^8*b^11 + 24750*a^9*b^10 + 22440*a^10*b^9 + 15884*a^11*b^8 + 8712*a^12*b^7 + 3638*a^13*b^6 + 1120*a^14*b^5 + 240*a^15*b^4 + 32*a^16*b^3 + 2*a^17*b^2 - (tan(e + f*x)*(-b^7*(a + b)^7)^(1/2)*(16*a^2*b^18 + 248*a^3*b^17 + 1800*a^4*b^16 + 8120*a^5*b^15 + 25480*a^6*b^14 + 58968*a^7*b^13 + 104104*a^8*b^12 + 143000*a^9*b^11 + 154440*a^10*b^10 + 131560*a^11*b^9 + 88088*a^12*b^8 + 45864*a^13*b^7 + 18200*a^14*b^6 + 5320*a^15*b^5 + 1080*a^16*b^4 + 136*a^17*b^3 + 8*a^18*b^2))/(4*a*(a + b)^7)))/(2*a*(a + b)^7))*(-b^7*(a + b)^7)^(1/2))/(a*(a + b)^7) - (((tan(e + f*x)*(48*a*b^17 + 4*b^18 + 282*a^2*b^16 + 1078*a^3*b^15 + 2982*a^4*b^14 + 6258*a^5*b^13 + 10178*a^6*b^12 + 12942*a^7*b^11 + 12888*a^8*b^10 + 10012*a^9*b^9 + 6006*a^10*b^8 + 2730*a^11*b^7 + 910*a^12*b^6 + 210*a^13*b^5 + 30*a^14*b^4 + 2*a^15*b^3))/2 + ((-b^7*(a + b)^7)^(1/2)*(8*a^2*b^17 + 108*a^3*b^16 + 680*a^4*b^15 + 2650*a^5*b^14 + 7152*a^6*b^13 + 14168*a^7*b^12 + 21296*a^8*b^11 + 24750*a^9*b^10 + 22440*a^10*b^9 + 15884*a^11*b^8 + 8712*a^12*b^7 + 3638*a^13*b^6 + 1120*a^14*b^5 + 240*a^15*b^4 + 32*a^16*b^3 + 2*a^17*b^2 + (tan(e + f*x)*(-b^7*(a + b)^7)^(1/2)*(16*a^2*b^18 + 248*a^3*b^17 + 1800*a^4*b^16 + 8120*a^5*b^15 + 25480*a^6*b^14 + 58968*a^7*b^13 + 104104*a^8*b^12 + 143000*a^9*b^11 + 154440*a^10*b^10 + 131560*a^11*b^9 + 88088*a^12*b^8 + 45864*a^13*b^7 + 18200*a^14*b^6 + 5320*a^15*b^5 + 1080*a^16*b^4 + 136*a^17*b^3 + 8*a^18*b^2))/(4*a*(a + b)^7)))/(2*a*(a + b)^7))*(-b^7*(a + b)^7)^(1/2))/(a*(a + b)^7)))*(-b^7*(a + b)^7)^(1/2)*1i)/(a*f*(a + b)^7) - (1/(5*(a + b)) + (tan(e + f*x)^4*(3*a*b + a^2 + 3*b^2))/(a + b)^3 - (tan(e + f*x)^2*(a + 2*b))/(3*(a + b)^2))/(f*tan(e + f*x)^5) - atan((14*b^17*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (952*a^2*b^15*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (3388*a^3*b^14*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (8484*a^4*b^13*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (15848*a^5*b^12*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (22808*a^6*b^11*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (25722*a^7*b^10*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (22878*a^8*b^9*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (16016*a^9*b^8*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (8736*a^10*b^7*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (3640*a^11*b^6*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (1120*a^12*b^5*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (240*a^13*b^4*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (32*a^14*b^3*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (2*a^15*b^2*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2) + (168*a*b^16*tan(e + f*x))/(168*a*b^16 + 14*b^17 + 952*a^2*b^15 + 3388*a^3*b^14 + 8484*a^4*b^13 + 15848*a^5*b^12 + 22808*a^6*b^11 + 25722*a^7*b^10 + 22878*a^8*b^9 + 16016*a^9*b^8 + 8736*a^10*b^7 + 3640*a^11*b^6 + 1120*a^12*b^5 + 240*a^13*b^4 + 32*a^14*b^3 + 2*a^15*b^2))/(a*f)","B"
350,1,170,77,4.654906,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^2,x)","\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,b^2\,f}-\frac{\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}{2\,a^2\,f}+\frac{a^2}{2\,f\,\left(a^2\,b^2+a\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+a\,b^3\right)}+\frac{b^2}{2\,f\,\left(a^2\,b^2+a\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+a\,b^3\right)}+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^2\,f}+\frac{a\,b}{f\,\left(a^2\,b^2+a\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+a\,b^3\right)}","Not used",1,"log(a + b + b*tan(e + f*x)^2)/(2*b^2*f) - log(a + b + b*tan(e + f*x)^2)/(2*a^2*f) + a^2/(2*f*(a*b^3 + a^2*b^2 + a*b^3*tan(e + f*x)^2)) + b^2/(2*f*(a*b^3 + a^2*b^2 + a*b^3*tan(e + f*x)^2)) + log(tan(e + f*x)^2 + 1)/(2*a^2*f) + (a*b)/(f*(a*b^3 + a^2*b^2 + a*b^3*tan(e + f*x)^2))","B"
351,1,97,51,4.591110,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^2,x)","-\frac{\mathrm{atanh}\left(\frac{4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,b^2+\frac{8\,b^3}{a}+4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{a}}\right)}{a^2\,f}-\frac{a+b}{2\,a\,b\,f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}","Not used",1,"- atanh((4*b^2*tan(e + f*x)^2)/(8*b^2 + (8*b^3)/a + 4*b^2*tan(e + f*x)^2 + (8*b^3*tan(e + f*x)^2)/a))/(a^2*f) - (a + b)/(2*a*b*f*(a + b + b*tan(e + f*x)^2))","B"
352,1,90,49,4.481204,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atanh}\left(\frac{4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,b^2+\frac{8\,b^3}{a}+4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{a}}\right)}{a^2\,f}+\frac{1}{2\,a\,f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}","Not used",1,"atanh((4*b^2*tan(e + f*x)^2)/(8*b^2 + (8*b^3)/a + 4*b^2*tan(e + f*x)^2 + (8*b^3*tan(e + f*x)^2)/a))/(a^2*f) + 1/(2*a*f*(a + b + b*tan(e + f*x)^2))","B"
353,1,106,83,4.850558,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^2,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f\,\left(a^2+2\,a\,b+b^2\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^2\,f}-\frac{b}{2\,a\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{b\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(2\,a+b\right)}{2\,a^2\,f\,{\left(a+b\right)}^2}","Not used",1,"log(tan(e + f*x))/(f*(2*a*b + a^2 + b^2)) - log(tan(e + f*x)^2 + 1)/(2*a^2*f) - b/(2*a*f*(a + b)*(a + b + b*tan(e + f*x)^2)) + (b*log(a + b + b*tan(e + f*x)^2)*(2*a + b))/(2*a^2*f*(a + b)^2)","B"
354,1,160,111,5.051023,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^2,x)","\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^2\,f}-\frac{\frac{1}{2\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a\,b-b^2\right)}{2\,a\,{\left(a+b\right)}^2}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^4+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a+3\,b\right)}{f\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}-\frac{b^2\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(3\,a+b\right)}{2\,a^2\,f\,{\left(a+b\right)}^3}","Not used",1,"log(tan(e + f*x)^2 + 1)/(2*a^2*f) - (1/(2*(a + b)) + (tan(e + f*x)^2*(a*b - b^2))/(2*a*(a + b)^2))/(f*(tan(e + f*x)^2*(a + b) + b*tan(e + f*x)^4)) - (log(tan(e + f*x))*(a + 3*b))/(f*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) - (b^2*log(a + b + b*tan(e + f*x)^2)*(3*a + b))/(2*a^2*f*(a + b)^3)","B"
355,1,206,140,6.094415,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,a+5\,b\right)}{4\,{\left(a+b\right)}^2}-\frac{1}{4\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2\,b+3\,a\,b^2-b^3\right)}{2\,a\,{\left(a+b\right)}^3}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^6+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^2\,f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^2+4\,a\,b+6\,b^2\right)}{f\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}+\frac{b^3\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(4\,a+b\right)}{2\,a^2\,f\,{\left(a+b\right)}^4}","Not used",1,"((tan(e + f*x)^2*(2*a + 5*b))/(4*(a + b)^2) - 1/(4*(a + b)) + (tan(e + f*x)^4*(3*a*b^2 + a^2*b - b^3))/(2*a*(a + b)^3))/(f*(tan(e + f*x)^4*(a + b) + b*tan(e + f*x)^6)) - log(tan(e + f*x)^2 + 1)/(2*a^2*f) + (log(tan(e + f*x))*(4*a*b + a^2 + 6*b^2))/(f*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) + (b^3*log(a + b + b*tan(e + f*x)^2)*(4*a + b))/(2*a^2*f*(a + b)^4)","B"
356,1,765,119,4.988505,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)}{b^2\,f}-\frac{\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{\frac{12\,a}{b}-\frac{10\,b}{a}-\frac{15\,b^2}{2\,a^2}+\frac{9\,a^2}{2\,b^2}+5}-\frac{10\,\mathrm{tan}\left(e+f\,x\right)}{\frac{5\,a}{b}-\frac{15\,b}{2\,a}+\frac{12\,a^2}{b^2}+\frac{9\,a^3}{2\,b^3}-10}+\frac{12\,a\,\mathrm{tan}\left(e+f\,x\right)}{12\,a+5\,b-\frac{10\,b^2}{a}+\frac{9\,a^2}{2\,b}-\frac{15\,b^3}{2\,a^2}}-\frac{15\,b\,\mathrm{tan}\left(e+f\,x\right)}{2\,\left(\frac{5\,a^2}{b}-\frac{15\,b}{2}-10\,a+\frac{12\,a^3}{b^2}+\frac{9\,a^4}{2\,b^3}\right)}+\frac{9\,a^2\,\mathrm{tan}\left(e+f\,x\right)}{2\,\left(12\,a\,b+\frac{9\,a^2}{2}+5\,b^2-\frac{10\,b^3}{a}-\frac{15\,b^4}{2\,a^2}\right)}\right)}{a^2\,f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+b^2\right)}{2\,a\,f\,\left(b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2+b^3+a\,b^2\right)}-\frac{\mathrm{atan}\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^5-3\,a^2\,b^6-3\,a\,b^7-b^8}\,35{}\mathrm{i}}{4\,\left(9\,a^3\,b-\frac{85\,a\,b^3}{4}+\frac{81\,a^4}{4}+\frac{25\,b^4}{4}-\frac{49\,a^2\,b^2}{2}+\frac{15\,b^5}{2\,a}+\frac{27\,a^5}{4\,b}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^5-3\,a^2\,b^6-3\,a\,b^7-b^8}\,15{}\mathrm{i}}{2\,\left(\frac{25\,a\,b^3}{4}-\frac{49\,a^3\,b}{2}+9\,a^4+\frac{15\,b^4}{2}-\frac{85\,a^2\,b^2}{4}+\frac{81\,a^5}{4\,b}+\frac{27\,a^6}{4\,b^2}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^5-3\,a^2\,b^6-3\,a\,b^7-b^8}\,45{}\mathrm{i}}{4\,\left(\frac{81\,a^3\,b}{4}-\frac{49\,a\,b^3}{2}+\frac{27\,a^4}{4}-\frac{85\,b^4}{4}+9\,a^2\,b^2+\frac{25\,b^5}{4\,a}+\frac{15\,b^6}{2\,a^2}\right)}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^5-3\,a^2\,b^6-3\,a\,b^7-b^8}\,27{}\mathrm{i}}{4\,\left(9\,a^2\,b^4-\frac{85\,b^6}{4}-\frac{49\,a\,b^5}{2}+\frac{81\,a^3\,b^3}{4}+\frac{27\,a^4\,b^2}{4}+\frac{25\,b^7}{4\,a}+\frac{15\,b^8}{2\,a^2}\right)}+\frac{a\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-a^3\,b^5-3\,a^2\,b^6-3\,a\,b^7-b^8}\,27{}\mathrm{i}}{4\,\left(\frac{27\,a^4\,b}{4}-\frac{49\,a\,b^4}{2}-\frac{85\,b^5}{4}+9\,a^2\,b^3+\frac{81\,a^3\,b^2}{4}+\frac{25\,b^6}{4\,a}+\frac{15\,b^7}{2\,a^2}\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^3}\,\left(3\,a-2\,b\right)\,1{}\mathrm{i}}{2\,a^2\,b^5\,f}","Not used",1,"tan(e + f*x)/(b^2*f) - atan((5*tan(e + f*x))/((12*a)/b - (10*b)/a - (15*b^2)/(2*a^2) + (9*a^2)/(2*b^2) + 5) - (10*tan(e + f*x))/((5*a)/b - (15*b)/(2*a) + (12*a^2)/b^2 + (9*a^3)/(2*b^3) - 10) + (12*a*tan(e + f*x))/(12*a + 5*b - (10*b^2)/a + (9*a^2)/(2*b) - (15*b^3)/(2*a^2)) - (15*b*tan(e + f*x))/(2*((5*a^2)/b - (15*b)/2 - 10*a + (12*a^3)/b^2 + (9*a^4)/(2*b^3))) + (9*a^2*tan(e + f*x))/(2*(12*a*b + (9*a^2)/2 + 5*b^2 - (10*b^3)/a - (15*b^4)/(2*a^2))))/(a^2*f) + (tan(e + f*x)*(2*a*b + a^2 + b^2))/(2*a*f*(a*b^2 + b^3 + b^3*tan(e + f*x)^2)) - (atan((tan(e + f*x)*(- 3*a*b^7 - b^8 - 3*a^2*b^6 - a^3*b^5)^(1/2)*15i)/(2*((25*a*b^3)/4 - (49*a^3*b)/2 + 9*a^4 + (15*b^4)/2 - (85*a^2*b^2)/4 + (81*a^5)/(4*b) + (27*a^6)/(4*b^2))) - (tan(e + f*x)*(- 3*a*b^7 - b^8 - 3*a^2*b^6 - a^3*b^5)^(1/2)*35i)/(4*(9*a^3*b - (85*a*b^3)/4 + (81*a^4)/4 + (25*b^4)/4 - (49*a^2*b^2)/2 + (15*b^5)/(2*a) + (27*a^5)/(4*b))) - (tan(e + f*x)*(- 3*a*b^7 - b^8 - 3*a^2*b^6 - a^3*b^5)^(1/2)*45i)/(4*((81*a^3*b)/4 - (49*a*b^3)/2 + (27*a^4)/4 - (85*b^4)/4 + 9*a^2*b^2 + (25*b^5)/(4*a) + (15*b^6)/(2*a^2))) + (a^2*tan(e + f*x)*(- 3*a*b^7 - b^8 - 3*a^2*b^6 - a^3*b^5)^(1/2)*27i)/(4*(9*a^2*b^4 - (85*b^6)/4 - (49*a*b^5)/2 + (81*a^3*b^3)/4 + (27*a^4*b^2)/4 + (25*b^7)/(4*a) + (15*b^8)/(2*a^2))) + (a*tan(e + f*x)*(- 3*a*b^7 - b^8 - 3*a^2*b^6 - a^3*b^5)^(1/2)*27i)/(4*((27*a^4*b)/4 - (49*a*b^4)/2 - (85*b^5)/4 + 9*a^2*b^3 + (81*a^3*b^2)/4 + (25*b^6)/(4*a) + (15*b^7)/(2*a^2))))*(-b^5*(a + b)^3)^(1/2)*(3*a - 2*b)*1i)/(2*a^2*b^5*f)","B"
357,1,285,90,4.780297,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(e+f\,x\right)}{\frac{3\,b}{2\,a}-\frac{a}{2\,b}+1}-\frac{\mathrm{tan}\left(e+f\,x\right)}{2\,\left(\frac{b}{a}+\frac{3\,b^2}{2\,a^2}-\frac{1}{2}\right)}+\frac{3\,b\,\mathrm{tan}\left(e+f\,x\right)}{2\,\left(a+\frac{3\,b}{2}-\frac{a^2}{2\,b}\right)}\right)}{a^2\,f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+b\right)}{2\,a\,b\,f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}}{2\,\left(\frac{a\,b}{4}-a^2+\frac{3\,b^2}{2}+\frac{a^3}{4\,b}\right)}-\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}}{4\,\left(\frac{a^2}{4}-a\,b+\frac{b^2}{4}+\frac{3\,b^3}{2\,a}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^4-a\,b^3}}{4\,\left(\frac{a\,b}{4}-b^2+\frac{b^3}{4\,a}+\frac{3\,b^4}{2\,a^2}\right)}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(a-2\,b\right)}{2\,a^2\,b^3\,f}","Not used",1,"atan(tan(e + f*x)/((3*b)/(2*a) - a/(2*b) + 1) - tan(e + f*x)/(2*(b/a + (3*b^2)/(2*a^2) - 1/2)) + (3*b*tan(e + f*x))/(2*(a + (3*b)/2 - a^2/(2*b))))/(a^2*f) - (tan(e + f*x)*(a + b))/(2*a*b*f*(a + b + b*tan(e + f*x)^2)) - (atanh((3*tan(e + f*x)*(- a*b^3 - b^4)^(1/2))/(2*((a*b)/4 - a^2 + (3*b^2)/2 + a^3/(4*b))) - (5*tan(e + f*x)*(- a*b^3 - b^4)^(1/2))/(4*(a^2/4 - a*b + b^2/4 + (3*b^3)/(2*a))) + (tan(e + f*x)*(- a*b^3 - b^4)^(1/2))/(4*((a*b)/4 - b^2 + b^3/(4*a) + (3*b^4)/(2*a^2))))*(-b^3*(a + b))^(1/2)*(a - 2*b))/(2*a^2*b^3*f)","B"
358,1,711,85,4.999180,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{tan}\left(e+f\,x\right)}{2\,a\,f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}-\frac{x}{a^2}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,b+4\,a\,b^2+8\,b^3\right)}{2\,a^2}-\frac{\left(2\,a\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^5\,b^2+32\,a^4\,b^3\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{8\,a^2\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{4\,\left(a^3\,b+a^2\,b^2\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,b+4\,a\,b^2+8\,b^3\right)}{2\,a^2}+\frac{\left(2\,a\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^5\,b^2+32\,a^4\,b^3\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{8\,a^2\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{4\,\left(a^3\,b+a^2\,b^2\right)}}{\frac{b^2+\frac{a\,b}{2}}{a^3}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,b+4\,a\,b^2+8\,b^3\right)}{2\,a^2}-\frac{\left(2\,a\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^5\,b^2+32\,a^4\,b^3\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{8\,a^2\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,b+4\,a\,b^2+8\,b^3\right)}{2\,a^2}+\frac{\left(2\,a\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^5\,b^2+32\,a^4\,b^3\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{8\,a^2\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}}{4\,\left(a^3\,b+a^2\,b^2\right)}}\right)\,\left(a+2\,b\right)\,\sqrt{-b\,\left(a+b\right)}\,1{}\mathrm{i}}{2\,f\,\left(a^3\,b+a^2\,b^2\right)}","Not used",1,"tan(e + f*x)/(2*a*f*(a + b + b*tan(e + f*x)^2)) - x/a^2 - (atan(((((tan(e + f*x)*(4*a*b^2 + a^2*b + 8*b^3))/(2*a^2) - ((2*a*b^2 - (tan(e + f*x)*(32*a^4*b^3 + 16*a^5*b^2)*(a + 2*b)*(-b*(a + b))^(1/2))/(8*a^2*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2)*1i)/(4*(a^3*b + a^2*b^2)) + (((tan(e + f*x)*(4*a*b^2 + a^2*b + 8*b^3))/(2*a^2) + ((2*a*b^2 + (tan(e + f*x)*(32*a^4*b^3 + 16*a^5*b^2)*(a + 2*b)*(-b*(a + b))^(1/2))/(8*a^2*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2)*1i)/(4*(a^3*b + a^2*b^2)))/(((a*b)/2 + b^2)/a^3 - (((tan(e + f*x)*(4*a*b^2 + a^2*b + 8*b^3))/(2*a^2) - ((2*a*b^2 - (tan(e + f*x)*(32*a^4*b^3 + 16*a^5*b^2)*(a + 2*b)*(-b*(a + b))^(1/2))/(8*a^2*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2)) + (((tan(e + f*x)*(4*a*b^2 + a^2*b + 8*b^3))/(2*a^2) + ((2*a*b^2 + (tan(e + f*x)*(32*a^4*b^3 + 16*a^5*b^2)*(a + 2*b)*(-b*(a + b))^(1/2))/(8*a^2*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2)))*(a + 2*b)*(-b*(a + b))^(1/2))/(4*(a^3*b + a^2*b^2))))*(a + 2*b)*(-b*(a + b))^(1/2)*1i)/(2*f*(a^3*b + a^2*b^2))","B"
359,1,2056,92,6.393396,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}}{\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,a^2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\left(4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^5+2\,a^4\,b+a^3\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)\,1{}\mathrm{i}}{4\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}}{a^2}+\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}}\right)}{a^2\,f}-\frac{b\,\mathrm{tan}\left(e+f\,x\right)}{2\,a\,f\,\left(a+b\right)\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}{\frac{b^4+\frac{3\,a\,b^3}{2}}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(13\,a^2\,b^3+20\,a\,b^4+8\,b^5\right)}{2\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{4\,a^6\,b^2+6\,a^5\,b^3+2\,a^4\,b^4}{a^5+2\,a^4\,b+a^3\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,\left(16\,a^7\,b^2+64\,a^6\,b^3+80\,a^5\,b^4+32\,a^4\,b^5\right)}{8\,\left(a^4+2\,a^3\,b+a^2\,b^2\right)\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)}{4\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^5+3\,a^4\,b+3\,a^3\,b^2+a^2\,b^3\right)}","Not used",1,"atan((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 - ((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2)/((((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) - (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) + (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + (((((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)*1i)/(2*(2*a^4*b + a^5 + a^3*b^2)) + (tan(e + f*x)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*a^2*(2*a^3*b + a^4 + a^2*b^2)))*1i)/(2*a^2) - (tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3)*1i)/(4*(2*a^3*b + a^4 + a^2*b^2)))/a^2 + ((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2)))/(a^2*f) + (atan(((((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))/(((3*a*b^3)/2 + b^4)/(2*a^4*b + a^5 + a^3*b^2) - (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) + (((tan(e + f*x)*(20*a*b^4 + 8*b^5 + 13*a^2*b^3))/(2*(2*a^3*b + a^4 + a^2*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^4*b^4 + 6*a^5*b^3 + 4*a^6*b^2)/(2*a^4*b + a^5 + a^3*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*(32*a^4*b^5 + 80*a^5*b^4 + 64*a^6*b^3 + 16*a^7*b^2))/(8*(2*a^3*b + a^4 + a^2*b^2)*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b))/(4*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2))))*(-b*(a + b)^3)^(1/2)*(3*a + 2*b)*1i)/(2*f*(3*a^4*b + a^5 + a^2*b^3 + 3*a^3*b^2)) - (b*tan(e + f*x))/(2*a*f*(a + b)*(a + b + b*tan(e + f*x)^2))","B"
360,1,3146,121,9.295960,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^2,x)","-\frac{\frac{1}{a+b}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,a\,b-b^2\right)}{2\,a\,{\left(a+b\right)}^2}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(a+b\right)\,\mathrm{tan}\left(e+f\,x\right)\right)}-\frac{\mathrm{atan}\left(\frac{240\,a^3\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{2080\,a^4\,b^{10}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{7760\,a^5\,b^9\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{16384\,a^6\,b^8\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{21584\,a^7\,b^7\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{18400\,a^8\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{10160\,a^9\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{3520\,a^{10}\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{704\,a^{11}\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}+\frac{64\,a^{12}\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{12}\,b^2+704\,a^{11}\,b^3+3520\,a^{10}\,b^4+10160\,a^9\,b^5+18400\,a^8\,b^6+21584\,a^7\,b^7+16384\,a^6\,b^8+7760\,a^5\,b^9+2080\,a^4\,b^{10}+240\,a^3\,b^{11}}\right)}{a^2\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{13}\,b^3+640\,a^{12}\,b^4+3280\,a^{11}\,b^5+10400\,a^{10}\,b^6+21424\,a^9\,b^7+29312\,a^8\,b^8+26800\,a^7\,b^9+16160\,a^6\,b^{10}+6160\,a^5\,b^{11}+1344\,a^4\,b^{12}+128\,a^3\,b^{13}\right)-\frac{\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(64\,a^6\,b^{12}+896\,a^7\,b^{11}+4992\,a^8\,b^{10}+15360\,a^9\,b^9+29568\,a^{10}\,b^8+37632\,a^{11}\,b^7+32256\,a^{12}\,b^6+18432\,a^{13}\,b^5+6720\,a^{14}\,b^4+1408\,a^{15}\,b^3+128\,a^{16}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(256\,a^{18}\,b^2+3072\,a^{17}\,b^3+16640\,a^{16}\,b^4+53760\,a^{15}\,b^5+115200\,a^{14}\,b^6+172032\,a^{13}\,b^7+182784\,a^{12}\,b^8+138240\,a^{11}\,b^9+72960\,a^{10}\,b^{10}+25600\,a^9\,b^{11}+5376\,a^8\,b^{12}+512\,a^7\,b^{13}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}+\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{13}\,b^3+640\,a^{12}\,b^4+3280\,a^{11}\,b^5+10400\,a^{10}\,b^6+21424\,a^9\,b^7+29312\,a^8\,b^8+26800\,a^7\,b^9+16160\,a^6\,b^{10}+6160\,a^5\,b^{11}+1344\,a^4\,b^{12}+128\,a^3\,b^{13}\right)+\frac{\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(64\,a^6\,b^{12}+896\,a^7\,b^{11}+4992\,a^8\,b^{10}+15360\,a^9\,b^9+29568\,a^{10}\,b^8+37632\,a^{11}\,b^7+32256\,a^{12}\,b^6+18432\,a^{13}\,b^5+6720\,a^{14}\,b^4+1408\,a^{15}\,b^3+128\,a^{16}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(256\,a^{18}\,b^2+3072\,a^{17}\,b^3+16640\,a^{16}\,b^4+53760\,a^{15}\,b^5+115200\,a^{14}\,b^6+172032\,a^{13}\,b^7+182784\,a^{12}\,b^8+138240\,a^{11}\,b^9+72960\,a^{10}\,b^{10}+25600\,a^9\,b^{11}+5376\,a^8\,b^{12}+512\,a^7\,b^{13}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}}{80\,a^5\,b^9-208\,a^3\,b^{11}-416\,a^4\,b^{10}-32\,a^2\,b^{12}+1600\,a^6\,b^8+2768\,a^7\,b^7+2272\,a^8\,b^6+944\,a^9\,b^5+160\,a^{10}\,b^4+\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{13}\,b^3+640\,a^{12}\,b^4+3280\,a^{11}\,b^5+10400\,a^{10}\,b^6+21424\,a^9\,b^7+29312\,a^8\,b^8+26800\,a^7\,b^9+16160\,a^6\,b^{10}+6160\,a^5\,b^{11}+1344\,a^4\,b^{12}+128\,a^3\,b^{13}\right)-\frac{\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(64\,a^6\,b^{12}+896\,a^7\,b^{11}+4992\,a^8\,b^{10}+15360\,a^9\,b^9+29568\,a^{10}\,b^8+37632\,a^{11}\,b^7+32256\,a^{12}\,b^6+18432\,a^{13}\,b^5+6720\,a^{14}\,b^4+1408\,a^{15}\,b^3+128\,a^{16}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(256\,a^{18}\,b^2+3072\,a^{17}\,b^3+16640\,a^{16}\,b^4+53760\,a^{15}\,b^5+115200\,a^{14}\,b^6+172032\,a^{13}\,b^7+182784\,a^{12}\,b^8+138240\,a^{11}\,b^9+72960\,a^{10}\,b^{10}+25600\,a^9\,b^{11}+5376\,a^8\,b^{12}+512\,a^7\,b^{13}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}-\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{13}\,b^3+640\,a^{12}\,b^4+3280\,a^{11}\,b^5+10400\,a^{10}\,b^6+21424\,a^9\,b^7+29312\,a^8\,b^8+26800\,a^7\,b^9+16160\,a^6\,b^{10}+6160\,a^5\,b^{11}+1344\,a^4\,b^{12}+128\,a^3\,b^{13}\right)+\frac{\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(64\,a^6\,b^{12}+896\,a^7\,b^{11}+4992\,a^8\,b^{10}+15360\,a^9\,b^9+29568\,a^{10}\,b^8+37632\,a^{11}\,b^7+32256\,a^{12}\,b^6+18432\,a^{13}\,b^5+6720\,a^{14}\,b^4+1408\,a^{15}\,b^3+128\,a^{16}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,\left(256\,a^{18}\,b^2+3072\,a^{17}\,b^3+16640\,a^{16}\,b^4+53760\,a^{15}\,b^5+115200\,a^{14}\,b^6+172032\,a^{13}\,b^7+182784\,a^{12}\,b^8+138240\,a^{11}\,b^9+72960\,a^{10}\,b^{10}+25600\,a^9\,b^{11}+5376\,a^8\,b^{12}+512\,a^7\,b^{13}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)}{4\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^5}\,\left(5\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^7+5\,a^6\,b+10\,a^5\,b^2+10\,a^4\,b^3+5\,a^3\,b^4+a^2\,b^5\right)}","Not used",1,"(atan((((tan(e + f*x)*(128*a^3*b^13 + 1344*a^4*b^12 + 6160*a^5*b^11 + 16160*a^6*b^10 + 26800*a^7*b^9 + 29312*a^8*b^8 + 21424*a^9*b^7 + 10400*a^10*b^6 + 3280*a^11*b^5 + 640*a^12*b^4 + 64*a^13*b^3) - ((-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(64*a^6*b^12 + 896*a^7*b^11 + 4992*a^8*b^10 + 15360*a^9*b^9 + 29568*a^10*b^8 + 37632*a^11*b^7 + 32256*a^12*b^6 + 18432*a^13*b^5 + 6720*a^14*b^4 + 1408*a^15*b^3 + 128*a^16*b^2 - (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(512*a^7*b^13 + 5376*a^8*b^12 + 25600*a^9*b^11 + 72960*a^10*b^10 + 138240*a^11*b^9 + 182784*a^12*b^8 + 172032*a^13*b^7 + 115200*a^14*b^6 + 53760*a^15*b^5 + 16640*a^16*b^4 + 3072*a^17*b^3 + 256*a^18*b^2))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2))))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)))*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*1i)/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)) + ((tan(e + f*x)*(128*a^3*b^13 + 1344*a^4*b^12 + 6160*a^5*b^11 + 16160*a^6*b^10 + 26800*a^7*b^9 + 29312*a^8*b^8 + 21424*a^9*b^7 + 10400*a^10*b^6 + 3280*a^11*b^5 + 640*a^12*b^4 + 64*a^13*b^3) + ((-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(64*a^6*b^12 + 896*a^7*b^11 + 4992*a^8*b^10 + 15360*a^9*b^9 + 29568*a^10*b^8 + 37632*a^11*b^7 + 32256*a^12*b^6 + 18432*a^13*b^5 + 6720*a^14*b^4 + 1408*a^15*b^3 + 128*a^16*b^2 + (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(512*a^7*b^13 + 5376*a^8*b^12 + 25600*a^9*b^11 + 72960*a^10*b^10 + 138240*a^11*b^9 + 182784*a^12*b^8 + 172032*a^13*b^7 + 115200*a^14*b^6 + 53760*a^15*b^5 + 16640*a^16*b^4 + 3072*a^17*b^3 + 256*a^18*b^2))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2))))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)))*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*1i)/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)))/(80*a^5*b^9 - 208*a^3*b^11 - 416*a^4*b^10 - 32*a^2*b^12 + 1600*a^6*b^8 + 2768*a^7*b^7 + 2272*a^8*b^6 + 944*a^9*b^5 + 160*a^10*b^4 + ((tan(e + f*x)*(128*a^3*b^13 + 1344*a^4*b^12 + 6160*a^5*b^11 + 16160*a^6*b^10 + 26800*a^7*b^9 + 29312*a^8*b^8 + 21424*a^9*b^7 + 10400*a^10*b^6 + 3280*a^11*b^5 + 640*a^12*b^4 + 64*a^13*b^3) - ((-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(64*a^6*b^12 + 896*a^7*b^11 + 4992*a^8*b^10 + 15360*a^9*b^9 + 29568*a^10*b^8 + 37632*a^11*b^7 + 32256*a^12*b^6 + 18432*a^13*b^5 + 6720*a^14*b^4 + 1408*a^15*b^3 + 128*a^16*b^2 - (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(512*a^7*b^13 + 5376*a^8*b^12 + 25600*a^9*b^11 + 72960*a^10*b^10 + 138240*a^11*b^9 + 182784*a^12*b^8 + 172032*a^13*b^7 + 115200*a^14*b^6 + 53760*a^15*b^5 + 16640*a^16*b^4 + 3072*a^17*b^3 + 256*a^18*b^2))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2))))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)))*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)) - ((tan(e + f*x)*(128*a^3*b^13 + 1344*a^4*b^12 + 6160*a^5*b^11 + 16160*a^6*b^10 + 26800*a^7*b^9 + 29312*a^8*b^8 + 21424*a^9*b^7 + 10400*a^10*b^6 + 3280*a^11*b^5 + 640*a^12*b^4 + 64*a^13*b^3) + ((-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(64*a^6*b^12 + 896*a^7*b^11 + 4992*a^8*b^10 + 15360*a^9*b^9 + 29568*a^10*b^8 + 37632*a^11*b^7 + 32256*a^12*b^6 + 18432*a^13*b^5 + 6720*a^14*b^4 + 1408*a^15*b^3 + 128*a^16*b^2 + (tan(e + f*x)*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*(512*a^7*b^13 + 5376*a^8*b^12 + 25600*a^9*b^11 + 72960*a^10*b^10 + 138240*a^11*b^9 + 182784*a^12*b^8 + 172032*a^13*b^7 + 115200*a^14*b^6 + 53760*a^15*b^5 + 16640*a^16*b^4 + 3072*a^17*b^3 + 256*a^18*b^2))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2))))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)))*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b))/(4*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2))))*(-b^3*(a + b)^5)^(1/2)*(5*a + 2*b)*1i)/(2*f*(5*a^6*b + a^7 + a^2*b^5 + 5*a^3*b^4 + 10*a^4*b^3 + 10*a^5*b^2)) - atan((240*a^3*b^11*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (2080*a^4*b^10*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (7760*a^5*b^9*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (16384*a^6*b^8*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (21584*a^7*b^7*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (18400*a^8*b^6*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (10160*a^9*b^5*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (3520*a^10*b^4*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (704*a^11*b^3*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2) + (64*a^12*b^2*tan(e + f*x))/(240*a^3*b^11 + 2080*a^4*b^10 + 7760*a^5*b^9 + 16384*a^6*b^8 + 21584*a^7*b^7 + 18400*a^8*b^6 + 10160*a^9*b^5 + 3520*a^10*b^4 + 704*a^11*b^3 + 64*a^12*b^2))/(a^2*f) - (1/(a + b) + (tan(e + f*x)^2*(2*a*b - b^2))/(2*a*(a + b)^2))/(f*(b*tan(e + f*x)^3 + tan(e + f*x)*(a + b)))","B"
361,1,4987,160,10.462484,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^2,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a+8\,b\right)}{3\,{\left(a+b\right)}^2}-\frac{1}{3\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(2\,a^2\,b+6\,a\,b^2-b^3\right)}{2\,a\,{\left(a+b\right)}^3}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^5+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3\right)}+\frac{\mathrm{atan}\left(\frac{560\,a^3\,b^{16}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{7280\,a^4\,b^{15}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{42560\,a^5\,b^{14}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{149184\,a^6\,b^{13}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{351904\,a^7\,b^{12}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{593440\,a^8\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{741120\,a^9\,b^{10}\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{699840\,a^{10}\,b^9\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{505008\,a^{11}\,b^8\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{278768\,a^{12}\,b^7\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{116480\,a^{13}\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{35840\,a^{14}\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{7680\,a^{15}\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{1024\,a^{16}\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}+\frac{64\,a^{17}\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{64\,a^{17}\,b^2+1024\,a^{16}\,b^3+7680\,a^{15}\,b^4+35840\,a^{14}\,b^5+116480\,a^{13}\,b^6+278768\,a^{12}\,b^7+505008\,a^{11}\,b^8+699840\,a^{10}\,b^9+741120\,a^9\,b^{10}+593440\,a^8\,b^{11}+351904\,a^7\,b^{12}+149184\,a^6\,b^{13}+42560\,a^5\,b^{14}+7280\,a^4\,b^{15}+560\,a^3\,b^{16}}\right)}{a^2\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{18}\,b^3+960\,a^{17}\,b^4+6720\,a^{16}\,b^5+29120\,a^{15}\,b^6+88144\,a^{14}\,b^7+199696\,a^{13}\,b^8+352640\,a^{12}\,b^9+494400\,a^{11}\,b^{10}+550560\,a^{10}\,b^{11}+480928\,a^9\,b^{12}+322560\,a^8\,b^{13}+161280\,a^7\,b^{14}+57680\,a^6\,b^{15}+13840\,a^5\,b^{16}+1984\,a^4\,b^{17}+128\,a^3\,b^{18}\right)-\frac{\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(64\,a^6\,b^{17}+1536\,a^7\,b^{16}+13952\,a^8\,b^{15}+71040\,a^9\,b^{14}+235968\,a^{10}\,b^{13}+551936\,a^{11}\,b^{12}+948992\,a^{12}\,b^{11}+1229184\,a^{13}\,b^{10}+1214400\,a^{14}\,b^9+918016\,a^{15}\,b^8+528000\,a^{16}\,b^7+227456\,a^{17}\,b^6+71232\,a^{18}\,b^5+15360\,a^{19}\,b^4+2048\,a^{20}\,b^3+128\,a^{21}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(256\,a^{23}\,b^2+4352\,a^{22}\,b^3+34560\,a^{21}\,b^4+170240\,a^{20}\,b^5+582400\,a^{19}\,b^6+1467648\,a^{18}\,b^7+2818816\,a^{17}\,b^8+4209920\,a^{16}\,b^9+4942080\,a^{15}\,b^{10}+4576000\,a^{14}\,b^{11}+3331328\,a^{13}\,b^{12}+1886976\,a^{12}\,b^{13}+815360\,a^{11}\,b^{14}+259840\,a^{10}\,b^{15}+57600\,a^9\,b^{16}+7936\,a^8\,b^{17}+512\,a^7\,b^{18}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}+\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{18}\,b^3+960\,a^{17}\,b^4+6720\,a^{16}\,b^5+29120\,a^{15}\,b^6+88144\,a^{14}\,b^7+199696\,a^{13}\,b^8+352640\,a^{12}\,b^9+494400\,a^{11}\,b^{10}+550560\,a^{10}\,b^{11}+480928\,a^9\,b^{12}+322560\,a^8\,b^{13}+161280\,a^7\,b^{14}+57680\,a^6\,b^{15}+13840\,a^5\,b^{16}+1984\,a^4\,b^{17}+128\,a^3\,b^{18}\right)+\frac{\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(64\,a^6\,b^{17}+1536\,a^7\,b^{16}+13952\,a^8\,b^{15}+71040\,a^9\,b^{14}+235968\,a^{10}\,b^{13}+551936\,a^{11}\,b^{12}+948992\,a^{12}\,b^{11}+1229184\,a^{13}\,b^{10}+1214400\,a^{14}\,b^9+918016\,a^{15}\,b^8+528000\,a^{16}\,b^7+227456\,a^{17}\,b^6+71232\,a^{18}\,b^5+15360\,a^{19}\,b^4+2048\,a^{20}\,b^3+128\,a^{21}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(256\,a^{23}\,b^2+4352\,a^{22}\,b^3+34560\,a^{21}\,b^4+170240\,a^{20}\,b^5+582400\,a^{19}\,b^6+1467648\,a^{18}\,b^7+2818816\,a^{17}\,b^8+4209920\,a^{16}\,b^9+4942080\,a^{15}\,b^{10}+4576000\,a^{14}\,b^{11}+3331328\,a^{13}\,b^{12}+1886976\,a^{12}\,b^{13}+815360\,a^{11}\,b^{14}+259840\,a^{10}\,b^{15}+57600\,a^9\,b^{16}+7936\,a^8\,b^{17}+512\,a^7\,b^{18}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,1{}\mathrm{i}}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}}{304\,a^4\,b^{15}-208\,a^3\,b^{16}-32\,a^2\,b^{17}+7040\,a^5\,b^{14}+31200\,a^6\,b^{13}+75936\,a^7\,b^{12}+118944\,a^8\,b^{11}+126528\,a^9\,b^{10}+92640\,a^{10}\,b^9+46000\,a^{11}\,b^8+14768\,a^{12}\,b^7+2752\,a^{13}\,b^6+224\,a^{14}\,b^5+\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{18}\,b^3+960\,a^{17}\,b^4+6720\,a^{16}\,b^5+29120\,a^{15}\,b^6+88144\,a^{14}\,b^7+199696\,a^{13}\,b^8+352640\,a^{12}\,b^9+494400\,a^{11}\,b^{10}+550560\,a^{10}\,b^{11}+480928\,a^9\,b^{12}+322560\,a^8\,b^{13}+161280\,a^7\,b^{14}+57680\,a^6\,b^{15}+13840\,a^5\,b^{16}+1984\,a^4\,b^{17}+128\,a^3\,b^{18}\right)-\frac{\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(64\,a^6\,b^{17}+1536\,a^7\,b^{16}+13952\,a^8\,b^{15}+71040\,a^9\,b^{14}+235968\,a^{10}\,b^{13}+551936\,a^{11}\,b^{12}+948992\,a^{12}\,b^{11}+1229184\,a^{13}\,b^{10}+1214400\,a^{14}\,b^9+918016\,a^{15}\,b^8+528000\,a^{16}\,b^7+227456\,a^{17}\,b^6+71232\,a^{18}\,b^5+15360\,a^{19}\,b^4+2048\,a^{20}\,b^3+128\,a^{21}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(256\,a^{23}\,b^2+4352\,a^{22}\,b^3+34560\,a^{21}\,b^4+170240\,a^{20}\,b^5+582400\,a^{19}\,b^6+1467648\,a^{18}\,b^7+2818816\,a^{17}\,b^8+4209920\,a^{16}\,b^9+4942080\,a^{15}\,b^{10}+4576000\,a^{14}\,b^{11}+3331328\,a^{13}\,b^{12}+1886976\,a^{12}\,b^{13}+815360\,a^{11}\,b^{14}+259840\,a^{10}\,b^{15}+57600\,a^9\,b^{16}+7936\,a^8\,b^{17}+512\,a^7\,b^{18}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}-\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{18}\,b^3+960\,a^{17}\,b^4+6720\,a^{16}\,b^5+29120\,a^{15}\,b^6+88144\,a^{14}\,b^7+199696\,a^{13}\,b^8+352640\,a^{12}\,b^9+494400\,a^{11}\,b^{10}+550560\,a^{10}\,b^{11}+480928\,a^9\,b^{12}+322560\,a^8\,b^{13}+161280\,a^7\,b^{14}+57680\,a^6\,b^{15}+13840\,a^5\,b^{16}+1984\,a^4\,b^{17}+128\,a^3\,b^{18}\right)+\frac{\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(64\,a^6\,b^{17}+1536\,a^7\,b^{16}+13952\,a^8\,b^{15}+71040\,a^9\,b^{14}+235968\,a^{10}\,b^{13}+551936\,a^{11}\,b^{12}+948992\,a^{12}\,b^{11}+1229184\,a^{13}\,b^{10}+1214400\,a^{14}\,b^9+918016\,a^{15}\,b^8+528000\,a^{16}\,b^7+227456\,a^{17}\,b^6+71232\,a^{18}\,b^5+15360\,a^{19}\,b^4+2048\,a^{20}\,b^3+128\,a^{21}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,\left(256\,a^{23}\,b^2+4352\,a^{22}\,b^3+34560\,a^{21}\,b^4+170240\,a^{20}\,b^5+582400\,a^{19}\,b^6+1467648\,a^{18}\,b^7+2818816\,a^{17}\,b^8+4209920\,a^{16}\,b^9+4942080\,a^{15}\,b^{10}+4576000\,a^{14}\,b^{11}+3331328\,a^{13}\,b^{12}+1886976\,a^{12}\,b^{13}+815360\,a^{11}\,b^{14}+259840\,a^{10}\,b^{15}+57600\,a^9\,b^{16}+7936\,a^8\,b^{17}+512\,a^7\,b^{18}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)}{4\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^7}\,\left(7\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^9+7\,a^8\,b+21\,a^7\,b^2+35\,a^6\,b^3+35\,a^5\,b^4+21\,a^4\,b^5+7\,a^3\,b^6+a^2\,b^7\right)}","Not used",1,"((tan(e + f*x)^2*(3*a + 8*b))/(3*(a + b)^2) - 1/(3*(a + b)) + (tan(e + f*x)^4*(6*a*b^2 + 2*a^2*b - b^3))/(2*a*(a + b)^3))/(f*(tan(e + f*x)^3*(a + b) + b*tan(e + f*x)^5)) + atan((560*a^3*b^16*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (7280*a^4*b^15*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (42560*a^5*b^14*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (149184*a^6*b^13*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (351904*a^7*b^12*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (593440*a^8*b^11*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (741120*a^9*b^10*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (699840*a^10*b^9*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (505008*a^11*b^8*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (278768*a^12*b^7*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (116480*a^13*b^6*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (35840*a^14*b^5*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (7680*a^15*b^4*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (1024*a^16*b^3*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2) + (64*a^17*b^2*tan(e + f*x))/(560*a^3*b^16 + 7280*a^4*b^15 + 42560*a^5*b^14 + 149184*a^6*b^13 + 351904*a^7*b^12 + 593440*a^8*b^11 + 741120*a^9*b^10 + 699840*a^10*b^9 + 505008*a^11*b^8 + 278768*a^12*b^7 + 116480*a^13*b^6 + 35840*a^14*b^5 + 7680*a^15*b^4 + 1024*a^16*b^3 + 64*a^17*b^2))/(a^2*f) - (atan((((tan(e + f*x)*(128*a^3*b^18 + 1984*a^4*b^17 + 13840*a^5*b^16 + 57680*a^6*b^15 + 161280*a^7*b^14 + 322560*a^8*b^13 + 480928*a^9*b^12 + 550560*a^10*b^11 + 494400*a^11*b^10 + 352640*a^12*b^9 + 199696*a^13*b^8 + 88144*a^14*b^7 + 29120*a^15*b^6 + 6720*a^16*b^5 + 960*a^17*b^4 + 64*a^18*b^3) - ((-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(64*a^6*b^17 + 1536*a^7*b^16 + 13952*a^8*b^15 + 71040*a^9*b^14 + 235968*a^10*b^13 + 551936*a^11*b^12 + 948992*a^12*b^11 + 1229184*a^13*b^10 + 1214400*a^14*b^9 + 918016*a^15*b^8 + 528000*a^16*b^7 + 227456*a^17*b^6 + 71232*a^18*b^5 + 15360*a^19*b^4 + 2048*a^20*b^3 + 128*a^21*b^2 - (tan(e + f*x)*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(512*a^7*b^18 + 7936*a^8*b^17 + 57600*a^9*b^16 + 259840*a^10*b^15 + 815360*a^11*b^14 + 1886976*a^12*b^13 + 3331328*a^13*b^12 + 4576000*a^14*b^11 + 4942080*a^15*b^10 + 4209920*a^16*b^9 + 2818816*a^17*b^8 + 1467648*a^18*b^7 + 582400*a^19*b^6 + 170240*a^20*b^5 + 34560*a^21*b^4 + 4352*a^22*b^3 + 256*a^23*b^2))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)))*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*1i)/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)) + ((tan(e + f*x)*(128*a^3*b^18 + 1984*a^4*b^17 + 13840*a^5*b^16 + 57680*a^6*b^15 + 161280*a^7*b^14 + 322560*a^8*b^13 + 480928*a^9*b^12 + 550560*a^10*b^11 + 494400*a^11*b^10 + 352640*a^12*b^9 + 199696*a^13*b^8 + 88144*a^14*b^7 + 29120*a^15*b^6 + 6720*a^16*b^5 + 960*a^17*b^4 + 64*a^18*b^3) + ((-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(64*a^6*b^17 + 1536*a^7*b^16 + 13952*a^8*b^15 + 71040*a^9*b^14 + 235968*a^10*b^13 + 551936*a^11*b^12 + 948992*a^12*b^11 + 1229184*a^13*b^10 + 1214400*a^14*b^9 + 918016*a^15*b^8 + 528000*a^16*b^7 + 227456*a^17*b^6 + 71232*a^18*b^5 + 15360*a^19*b^4 + 2048*a^20*b^3 + 128*a^21*b^2 + (tan(e + f*x)*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(512*a^7*b^18 + 7936*a^8*b^17 + 57600*a^9*b^16 + 259840*a^10*b^15 + 815360*a^11*b^14 + 1886976*a^12*b^13 + 3331328*a^13*b^12 + 4576000*a^14*b^11 + 4942080*a^15*b^10 + 4209920*a^16*b^9 + 2818816*a^17*b^8 + 1467648*a^18*b^7 + 582400*a^19*b^6 + 170240*a^20*b^5 + 34560*a^21*b^4 + 4352*a^22*b^3 + 256*a^23*b^2))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)))*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*1i)/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)))/(304*a^4*b^15 - 208*a^3*b^16 - 32*a^2*b^17 + 7040*a^5*b^14 + 31200*a^6*b^13 + 75936*a^7*b^12 + 118944*a^8*b^11 + 126528*a^9*b^10 + 92640*a^10*b^9 + 46000*a^11*b^8 + 14768*a^12*b^7 + 2752*a^13*b^6 + 224*a^14*b^5 + ((tan(e + f*x)*(128*a^3*b^18 + 1984*a^4*b^17 + 13840*a^5*b^16 + 57680*a^6*b^15 + 161280*a^7*b^14 + 322560*a^8*b^13 + 480928*a^9*b^12 + 550560*a^10*b^11 + 494400*a^11*b^10 + 352640*a^12*b^9 + 199696*a^13*b^8 + 88144*a^14*b^7 + 29120*a^15*b^6 + 6720*a^16*b^5 + 960*a^17*b^4 + 64*a^18*b^3) - ((-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(64*a^6*b^17 + 1536*a^7*b^16 + 13952*a^8*b^15 + 71040*a^9*b^14 + 235968*a^10*b^13 + 551936*a^11*b^12 + 948992*a^12*b^11 + 1229184*a^13*b^10 + 1214400*a^14*b^9 + 918016*a^15*b^8 + 528000*a^16*b^7 + 227456*a^17*b^6 + 71232*a^18*b^5 + 15360*a^19*b^4 + 2048*a^20*b^3 + 128*a^21*b^2 - (tan(e + f*x)*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(512*a^7*b^18 + 7936*a^8*b^17 + 57600*a^9*b^16 + 259840*a^10*b^15 + 815360*a^11*b^14 + 1886976*a^12*b^13 + 3331328*a^13*b^12 + 4576000*a^14*b^11 + 4942080*a^15*b^10 + 4209920*a^16*b^9 + 2818816*a^17*b^8 + 1467648*a^18*b^7 + 582400*a^19*b^6 + 170240*a^20*b^5 + 34560*a^21*b^4 + 4352*a^22*b^3 + 256*a^23*b^2))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)))*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)) - ((tan(e + f*x)*(128*a^3*b^18 + 1984*a^4*b^17 + 13840*a^5*b^16 + 57680*a^6*b^15 + 161280*a^7*b^14 + 322560*a^8*b^13 + 480928*a^9*b^12 + 550560*a^10*b^11 + 494400*a^11*b^10 + 352640*a^12*b^9 + 199696*a^13*b^8 + 88144*a^14*b^7 + 29120*a^15*b^6 + 6720*a^16*b^5 + 960*a^17*b^4 + 64*a^18*b^3) + ((-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(64*a^6*b^17 + 1536*a^7*b^16 + 13952*a^8*b^15 + 71040*a^9*b^14 + 235968*a^10*b^13 + 551936*a^11*b^12 + 948992*a^12*b^11 + 1229184*a^13*b^10 + 1214400*a^14*b^9 + 918016*a^15*b^8 + 528000*a^16*b^7 + 227456*a^17*b^6 + 71232*a^18*b^5 + 15360*a^19*b^4 + 2048*a^20*b^3 + 128*a^21*b^2 + (tan(e + f*x)*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*(512*a^7*b^18 + 7936*a^8*b^17 + 57600*a^9*b^16 + 259840*a^10*b^15 + 815360*a^11*b^14 + 1886976*a^12*b^13 + 3331328*a^13*b^12 + 4576000*a^14*b^11 + 4942080*a^15*b^10 + 4209920*a^16*b^9 + 2818816*a^17*b^8 + 1467648*a^18*b^7 + 582400*a^19*b^6 + 170240*a^20*b^5 + 34560*a^21*b^4 + 4352*a^22*b^3 + 256*a^23*b^2))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2)))*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b))/(4*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))))*(-b^5*(a + b)^7)^(1/2)*(7*a + 2*b)*1i)/(2*f*(7*a^8*b + a^9 + a^2*b^7 + 7*a^3*b^6 + 21*a^4*b^5 + 35*a^5*b^4 + 35*a^6*b^3 + 21*a^7*b^2))","B"
362,1,6017,207,10.864995,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^2,x)","-\frac{\frac{1}{5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(3\,a^2+11\,a\,b+15\,b^2\right)}{3\,{\left(a+b\right)}^3}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(5\,a+12\,b\right)}{15\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(2\,a^3\,b+8\,a^2\,b^2+12\,a\,b^3-b^4\right)}{2\,a\,{\left(a+b\right)}^4}}{f\,\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^7+\left(a+b\right)\,{\mathrm{tan}\left(e+f\,x\right)}^5\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}}{2\,a^2}-\frac{-\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}}{2\,a^2}}{2752\,a^4\,b^{20}-144\,a^3\,b^{21}-32\,a^2\,b^{22}+33824\,a^5\,b^{19}+182784\,a^6\,b^{18}+613648\,a^7\,b^{17}+1429120\,a^8\,b^{16}+2433024\,a^9\,b^{15}+3113088\,a^{10}\,b^{14}+3034768\,a^{11}\,b^{13}+2261952\,a^{12}\,b^{12}+1281952\,a^{13}\,b^{11}+543872\,a^{14}\,b^{10}+167664\,a^{15}\,b^9+35584\,a^{16}\,b^8+4672\,a^{17}\,b^7+288\,a^{18}\,b^6-\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}-\frac{\left(-\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}\right)\,1{}\mathrm{i}}{2\,a^2}}\right)}{a^2\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)-\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)\,1{}\mathrm{i}}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}+\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)\,1{}\mathrm{i}}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}}{2752\,a^4\,b^{20}-144\,a^3\,b^{21}-32\,a^2\,b^{22}+33824\,a^5\,b^{19}+182784\,a^6\,b^{18}+613648\,a^7\,b^{17}+1429120\,a^8\,b^{16}+2433024\,a^9\,b^{15}+3113088\,a^{10}\,b^{14}+3034768\,a^{11}\,b^{13}+2261952\,a^{12}\,b^{12}+1281952\,a^{13}\,b^{11}+543872\,a^{14}\,b^{10}+167664\,a^{15}\,b^9+35584\,a^{16}\,b^8+4672\,a^{17}\,b^7+288\,a^{18}\,b^6+\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)-\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}-\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(64\,a^{23}\,b^3+1280\,a^{22}\,b^4+12160\,a^{21}\,b^5+72960\,a^{20}\,b^6+310080\,a^{19}\,b^7+992256\,a^{18}\,b^8+2481936\,a^{17}\,b^9+4977408\,a^{16}\,b^{10}+8154592\,a^{15}\,b^{11}+11073344\,a^{14}\,b^{12}+12596848\,a^{13}\,b^{13}+12075072\,a^{12}\,b^{14}+9747456\,a^{11}\,b^{15}+6570624\,a^{10}\,b^{16}+3637488\,a^9\,b^{17}+1613184\,a^8\,b^{18}+554016\,a^7\,b^{19}+140608\,a^6\,b^{20}+24592\,a^5\,b^{21}+2624\,a^4\,b^{22}+128\,a^3\,b^{23}\right)+\frac{\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(64\,a^6\,b^{22}+2304\,a^7\,b^{21}+29440\,a^8\,b^{20}+210560\,a^9\,b^{19}+997248\,a^{10}\,b^{18}+3404800\,a^{11}\,b^{17}+8806912\,a^{12}\,b^{16}+17809920\,a^{13}\,b^{15}+28745600\,a^{14}\,b^{14}+37533184\,a^{15}\,b^{13}+39975936\,a^{16}\,b^{12}+34874112\,a^{17}\,b^{11}+24926720\,a^{18}\,b^{10}+14545920\,a^{19}\,b^9+6874624\,a^{20}\,b^8+2595328\,a^{21}\,b^7+765504\,a^{22}\,b^6+170240\,a^{23}\,b^5+26880\,a^{24}\,b^4+2688\,a^{25}\,b^3+128\,a^{26}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,\left(256\,a^{28}\,b^2+5632\,a^{27}\,b^3+58880\,a^{26}\,b^4+389120\,a^{25}\,b^5+1824000\,a^{24}\,b^6+6449664\,a^{23}\,b^7+17860608\,a^{22}\,b^8+39690240\,a^{21}\,b^9+71938560\,a^{20}\,b^{10}+107494400\,a^{19}\,b^{11}+133293056\,a^{18}\,b^{12}+137592832\,a^{17}\,b^{13}+118243840\,a^{16}\,b^{14}+84341760\,a^{15}\,b^{15}+49612800\,a^{14}\,b^{16}+23814144\,a^{13}\,b^{17}+9178368\,a^{12}\,b^{18}+2772480\,a^{11}\,b^{19}+632320\,a^{10}\,b^{20}+102400\,a^9\,b^{21}+10496\,a^8\,b^{22}+512\,a^7\,b^{23}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}\right)}{4\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^9}\,\left(9\,a+2\,b\right)\,1{}\mathrm{i}}{2\,f\,\left(a^{11}+9\,a^{10}\,b+36\,a^9\,b^2+84\,a^8\,b^3+126\,a^7\,b^4+126\,a^6\,b^5+84\,a^5\,b^6+36\,a^4\,b^7+9\,a^3\,b^8+a^2\,b^9\right)}","Not used",1,"atan(((((64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 + (tan(e + f*x)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2)*1i)/(2*a^2))*1i)/(2*a^2) + tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3))/(2*a^2) - (((64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 - (tan(e + f*x)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2)*1i)/(2*a^2))*1i)/(2*a^2) - tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3))/(2*a^2))/(2752*a^4*b^20 - ((((64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 - (tan(e + f*x)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2)*1i)/(2*a^2))*1i)/(2*a^2) - tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3))*1i)/(2*a^2) - 32*a^2*b^22 - 144*a^3*b^21 - ((((64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 + (tan(e + f*x)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2)*1i)/(2*a^2))*1i)/(2*a^2) + tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3))*1i)/(2*a^2) + 33824*a^5*b^19 + 182784*a^6*b^18 + 613648*a^7*b^17 + 1429120*a^8*b^16 + 2433024*a^9*b^15 + 3113088*a^10*b^14 + 3034768*a^11*b^13 + 2261952*a^12*b^12 + 1281952*a^13*b^11 + 543872*a^14*b^10 + 167664*a^15*b^9 + 35584*a^16*b^8 + 4672*a^17*b^7 + 288*a^18*b^6))/(a^2*f) - (1/(5*(a + b)) + (tan(e + f*x)^4*(11*a*b + 3*a^2 + 15*b^2))/(3*(a + b)^3) - (tan(e + f*x)^2*(5*a + 12*b))/(15*(a + b)^2) + (tan(e + f*x)^6*(12*a*b^3 + 2*a^3*b - b^4 + 8*a^2*b^2))/(2*a*(a + b)^4))/(f*(tan(e + f*x)^5*(a + b) + b*tan(e + f*x)^7)) + (atan((((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3) - ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 - (tan(e + f*x)*(-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2)))*1i)/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2)) + ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3) + ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 + (tan(e + f*x)*(-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2)))*1i)/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2)))/(2752*a^4*b^20 - 144*a^3*b^21 - 32*a^2*b^22 + 33824*a^5*b^19 + 182784*a^6*b^18 + 613648*a^7*b^17 + 1429120*a^8*b^16 + 2433024*a^9*b^15 + 3113088*a^10*b^14 + 3034768*a^11*b^13 + 2261952*a^12*b^12 + 1281952*a^13*b^11 + 543872*a^14*b^10 + 167664*a^15*b^9 + 35584*a^16*b^8 + 4672*a^17*b^7 + 288*a^18*b^6 + ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3) - ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 - (tan(e + f*x)*(-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2)) - ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(tan(e + f*x)*(128*a^3*b^23 + 2624*a^4*b^22 + 24592*a^5*b^21 + 140608*a^6*b^20 + 554016*a^7*b^19 + 1613184*a^8*b^18 + 3637488*a^9*b^17 + 6570624*a^10*b^16 + 9747456*a^11*b^15 + 12075072*a^12*b^14 + 12596848*a^13*b^13 + 11073344*a^14*b^12 + 8154592*a^15*b^11 + 4977408*a^16*b^10 + 2481936*a^17*b^9 + 992256*a^18*b^8 + 310080*a^19*b^7 + 72960*a^20*b^6 + 12160*a^21*b^5 + 1280*a^22*b^4 + 64*a^23*b^3) + ((-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(64*a^6*b^22 + 2304*a^7*b^21 + 29440*a^8*b^20 + 210560*a^9*b^19 + 997248*a^10*b^18 + 3404800*a^11*b^17 + 8806912*a^12*b^16 + 17809920*a^13*b^15 + 28745600*a^14*b^14 + 37533184*a^15*b^13 + 39975936*a^16*b^12 + 34874112*a^17*b^11 + 24926720*a^18*b^10 + 14545920*a^19*b^9 + 6874624*a^20*b^8 + 2595328*a^21*b^7 + 765504*a^22*b^6 + 170240*a^23*b^5 + 26880*a^24*b^4 + 2688*a^25*b^3 + 128*a^26*b^2 + (tan(e + f*x)*(-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*(512*a^7*b^23 + 10496*a^8*b^22 + 102400*a^9*b^21 + 632320*a^10*b^20 + 2772480*a^11*b^19 + 9178368*a^12*b^18 + 23814144*a^13*b^17 + 49612800*a^14*b^16 + 84341760*a^15*b^15 + 118243840*a^16*b^14 + 137592832*a^17*b^13 + 133293056*a^18*b^12 + 107494400*a^19*b^11 + 71938560*a^20*b^10 + 39690240*a^21*b^9 + 17860608*a^22*b^8 + 6449664*a^23*b^7 + 1824000*a^24*b^6 + 389120*a^25*b^5 + 58880*a^26*b^4 + 5632*a^27*b^3 + 256*a^28*b^2))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))/(4*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))))*(-b^7*(a + b)^9)^(1/2)*(9*a + 2*b)*1i)/(2*f*(9*a^10*b + a^11 + a^2*b^9 + 9*a^3*b^8 + 36*a^4*b^7 + 84*a^5*b^6 + 126*a^6*b^5 + 126*a^7*b^4 + 84*a^8*b^3 + 36*a^9*b^2))","B"
363,1,166,78,4.601591,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^3,x)","\frac{\mathrm{atanh}\left(\frac{4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,b^2+\frac{8\,b^3}{a}+4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{a}}\right)}{a^3\,f}+\frac{\frac{-a^3+3\,a\,b^2+2\,b^3}{4\,a^2\,b^2}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2-b^2\right)}{2\,a^2\,b}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}","Not used",1,"atanh((4*b^2*tan(e + f*x)^2)/(8*b^2 + (8*b^3)/a + 4*b^2*tan(e + f*x)^2 + (8*b^3*tan(e + f*x)^2)/a))/(a^3*f) + ((3*a*b^2 - a^3 + 2*b^3)/(4*a^2*b^2) - (tan(e + f*x)^2*(a^2 - b^2))/(2*a^2*b))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4))","B"
364,1,153,81,4.448785,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{a^2+3\,a\,b+2\,b^2}{4\,a^2\,b}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,a^2}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\mathrm{atanh}\left(\frac{4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,b^2+\frac{8\,b^3}{a}+4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{a}}\right)}{a^3\,f}","Not used",1,"- ((3*a*b + a^2 + 2*b^2)/(4*a^2*b) + (b*tan(e + f*x)^2)/(2*a^2))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) - atanh((4*b^2*tan(e + f*x)^2)/(8*b^2 + (8*b^3)/a + 4*b^2*tan(e + f*x)^2 + (8*b^3*tan(e + f*x)^2)/a))/(a^3*f)","B"
365,1,142,74,4.404497,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{3\,a+2\,b}{4\,a^2}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,a^2}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atanh}\left(\frac{4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{8\,b^2+\frac{8\,b^3}{a}+4\,b^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\frac{8\,b^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{a}}\right)}{a^3\,f}","Not used",1,"((3*a + 2*b)/(4*a^2) + (b*tan(e + f*x)^2)/(2*a^2))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + atanh((4*b^2*tan(e + f*x)^2)/(8*b^2 + (8*b^3)/a + 4*b^2*tan(e + f*x)^2 + (8*b^3*tan(e + f*x)^2)/a))/(a^3*f)","B"
366,1,190,130,4.863425,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^3,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)}{f\,\left(a^3+3\,a^2\,b+3\,a\,b^2+b^3\right)}-\frac{\frac{2\,b^2+5\,a\,b}{4\,a^2\,\left(a+b\right)}+\frac{b\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(b^2+2\,a\,b\right)}{2\,a^2\,{\left(a+b\right)}^2}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^3\,f}+\frac{b\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(3\,a^2+3\,a\,b+b^2\right)}{2\,a^3\,f\,{\left(a+b\right)}^3}","Not used",1,"log(tan(e + f*x))/(f*(3*a*b^2 + 3*a^2*b + a^3 + b^3)) - ((5*a*b + 2*b^2)/(4*a^2*(a + b)) + (b*tan(e + f*x)^2*(2*a*b + b^2))/(2*a^2*(a + b)^2))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) - log(tan(e + f*x)^2 + 1)/(2*a^3*f) + (b*log(a + b + b*tan(e + f*x)^2)*(3*a*b + 3*a^2 + b^2))/(2*a^3*f*(a + b)^3)","B"
367,1,272,154,6.033001,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-4\,a^2\,b+7\,a\,b^2+2\,b^3\right)}{4\,a^2\,\left(a^2+2\,a\,b+b^2\right)}-\frac{1}{2\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-a^2\,b^2+3\,a\,b^3+b^4\right)}{2\,a^2\,\left(a+b\right)\,\left(a^2+2\,a\,b+b^2\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^6\right)}+\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^3\,f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a+4\,b\right)}{f\,\left(a^4+4\,a^3\,b+6\,a^2\,b^2+4\,a\,b^3+b^4\right)}-\frac{b^2\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(6\,a^2+4\,a\,b+b^2\right)}{2\,a^3\,f\,{\left(a+b\right)}^4}","Not used",1,"((tan(e + f*x)^2*(7*a*b^2 - 4*a^2*b + 2*b^3))/(4*a^2*(2*a*b + a^2 + b^2)) - 1/(2*(a + b)) + (tan(e + f*x)^4*(3*a*b^3 + b^4 - a^2*b^2))/(2*a^2*(a + b)*(2*a*b + a^2 + b^2)))/(f*(tan(e + f*x)^2*(2*a*b + a^2 + b^2) + tan(e + f*x)^4*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^6)) + log(tan(e + f*x)^2 + 1)/(2*a^3*f) - (log(tan(e + f*x))*(a + 4*b))/(f*(4*a*b^3 + 4*a^3*b + a^4 + b^4 + 6*a^2*b^2)) - (b^2*log(a + b + b*tan(e + f*x)^2)*(4*a*b + 6*a^2 + b^2))/(2*a^3*f*(a + b)^4)","B"
368,1,327,192,6.420201,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^3,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)\right)\,\left(a^2+5\,a\,b+10\,b^2\right)}{f\,\left(a^5+5\,a^4\,b+10\,a^3\,b^2+10\,a^2\,b^3+5\,a\,b^4+b^5\right)}-\frac{\frac{1}{4\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(a+3\,b\right)}{2\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-4\,a^3\,b-15\,a^2\,b^2+9\,a\,b^3+2\,b^4\right)}{4\,a^2\,\left(a+b\right)\,\left(a^2+2\,a\,b+b^2\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(-a^3\,b^2-4\,a^2\,b^3+4\,a\,b^4+b^5\right)}{2\,a^2\,{\left(a+b\right)}^2\,\left(a^2+2\,a\,b+b^2\right)}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^8\right)}-\frac{\ln\left({\mathrm{tan}\left(e+f\,x\right)}^2+1\right)}{2\,a^3\,f}+\frac{b^3\,\ln\left(b\,{\mathrm{tan}\left(e+f\,x\right)}^2+a+b\right)\,\left(10\,a^2+5\,a\,b+b^2\right)}{2\,a^3\,f\,{\left(a+b\right)}^5}","Not used",1,"(log(tan(e + f*x))*(5*a*b + a^2 + 10*b^2))/(f*(5*a*b^4 + 5*a^4*b + a^5 + b^5 + 10*a^2*b^3 + 10*a^3*b^2)) - (1/(4*(a + b)) - (tan(e + f*x)^2*(a + 3*b))/(2*(a + b)^2) + (tan(e + f*x)^4*(9*a*b^3 - 4*a^3*b + 2*b^4 - 15*a^2*b^2))/(4*a^2*(a + b)*(2*a*b + a^2 + b^2)) + (tan(e + f*x)^6*(4*a*b^4 + b^5 - 4*a^2*b^3 - a^3*b^2))/(2*a^2*(a + b)^2*(2*a*b + a^2 + b^2)))/(f*(tan(e + f*x)^4*(2*a*b + a^2 + b^2) + tan(e + f*x)^6*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^8)) - log(tan(e + f*x)^2 + 1)/(2*a^3*f) + (b^3*log(a + b + b*tan(e + f*x)^2)*(5*a*b + 10*a^2 + b^2))/(2*a^3*f*(a + b)^5)","B"
369,1,615,147,4.899476,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\mathrm{atan}\left(\frac{25\,\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{5\,b}{4\,a}-\frac{3\,a}{16\,b}+\frac{9\,a^2}{32\,b^2}+\frac{25}{32}\right)}-\frac{3\,\mathrm{tan}\left(e+f\,x\right)}{16\,\left(\frac{9\,a}{32\,b}+\frac{25\,b}{32\,a}+\frac{5\,b^2}{4\,a^2}-\frac{3}{16}\right)}+\frac{9\,\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{25\,b^2}{32\,a^2}-\frac{3\,b}{16\,a}+\frac{5\,b^3}{4\,a^3}+\frac{9}{32}\right)}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)}{4\,\left(\frac{25\,a}{32\,b}-\frac{3\,a^2}{16\,b^2}+\frac{9\,a^3}{32\,b^3}+\frac{5}{4}\right)}\right)}{a^3\,f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(5\,a^2+a\,b-4\,b^2\right)}{8\,a^2\,b}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+b\right)\,\left(-3\,a^2+a\,b+4\,b^2\right)}{8\,a^2\,b^2}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\mathrm{atanh}\left(\frac{27\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^6-a\,b^5}}{256\,\left(\frac{27\,a\,b^2}{256}-\frac{27\,b^3}{128}+\frac{171\,b^4}{256\,a}-\frac{7\,b^5}{64\,a^2}+\frac{5\,b^6}{32\,a^3}+\frac{5\,b^7}{4\,a^4}\right)}-\frac{81\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^6-a\,b^5}}{256\,\left(\frac{27\,a^2\,b}{256}-\frac{27\,a\,b^2}{128}+\frac{171\,b^3}{256}-\frac{7\,b^4}{64\,a}+\frac{5\,b^5}{32\,a^2}+\frac{5\,b^6}{4\,a^3}\right)}-\frac{35\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^6-a\,b^5}}{32\,\left(\frac{171\,a^2\,b}{256}-\frac{7\,a\,b^2}{64}-\frac{27\,a^3}{128}+\frac{5\,b^3}{32}+\frac{5\,b^4}{4\,a}+\frac{27\,a^4}{256\,b}\right)}+\frac{5\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^6-a\,b^5}}{4\,\left(\frac{5\,a\,b^2}{32}-\frac{7\,a^2\,b}{64}+\frac{171\,a^3}{256}+\frac{5\,b^3}{4}-\frac{27\,a^4}{128\,b}+\frac{27\,a^5}{256\,b^2}\right)}+\frac{63\,\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^6-a\,b^5}}{64\,\left(\frac{171\,a\,b^2}{256}-\frac{27\,a^2\,b}{128}+\frac{27\,a^3}{256}-\frac{7\,b^3}{64}+\frac{5\,b^4}{32\,a}+\frac{5\,b^5}{4\,a^2}\right)}\right)\,\sqrt{-b^5\,\left(a+b\right)}\,\left(3\,a^2-4\,a\,b+8\,b^2\right)}{8\,a^3\,b^5\,f}","Not used",1,"- atan((25*tan(e + f*x))/(32*((5*b)/(4*a) - (3*a)/(16*b) + (9*a^2)/(32*b^2) + 25/32)) - (3*tan(e + f*x))/(16*((9*a)/(32*b) + (25*b)/(32*a) + (5*b^2)/(4*a^2) - 3/16)) + (9*tan(e + f*x))/(32*((25*b^2)/(32*a^2) - (3*b)/(16*a) + (5*b^3)/(4*a^3) + 9/32)) + (5*tan(e + f*x))/(4*((25*a)/(32*b) - (3*a^2)/(16*b^2) + (9*a^3)/(32*b^3) + 5/4)))/(a^3*f) - ((tan(e + f*x)^3*(a*b + 5*a^2 - 4*b^2))/(8*a^2*b) - (tan(e + f*x)*(a + b)*(a*b - 3*a^2 + 4*b^2))/(8*a^2*b^2))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) - (atanh((27*tan(e + f*x)*(- a*b^5 - b^6)^(1/2))/(256*((27*a*b^2)/256 - (27*b^3)/128 + (171*b^4)/(256*a) - (7*b^5)/(64*a^2) + (5*b^6)/(32*a^3) + (5*b^7)/(4*a^4))) - (81*tan(e + f*x)*(- a*b^5 - b^6)^(1/2))/(256*((27*a^2*b)/256 - (27*a*b^2)/128 + (171*b^3)/256 - (7*b^4)/(64*a) + (5*b^5)/(32*a^2) + (5*b^6)/(4*a^3))) - (35*tan(e + f*x)*(- a*b^5 - b^6)^(1/2))/(32*((171*a^2*b)/256 - (7*a*b^2)/64 - (27*a^3)/128 + (5*b^3)/32 + (5*b^4)/(4*a) + (27*a^4)/(256*b))) + (5*tan(e + f*x)*(- a*b^5 - b^6)^(1/2))/(4*((5*a*b^2)/32 - (7*a^2*b)/64 + (171*a^3)/256 + (5*b^3)/4 - (27*a^4)/(128*b) + (27*a^5)/(256*b^2))) + (63*tan(e + f*x)*(- a*b^5 - b^6)^(1/2))/(64*((171*a*b^2)/256 - (27*a^2*b)/128 + (27*a^3)/256 - (7*b^3)/64 + (5*b^4)/(32*a) + (5*b^5)/(4*a^2))))*(-b^5*(a + b))^(1/2)*(3*a^2 - 4*a*b + 8*b^2))/(8*a^3*b^5*f)","B"
370,1,1117,137,5.402673,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a-4\,b\right)}{8\,a^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a+b\right)\,\left(a+4\,b\right)}{8\,a^2\,b}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(e+f\,x\right)}{32\,\left(\frac{b}{4\,a}-\frac{1}{32}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)}{4\,\left(\frac{a}{32\,b}-\frac{1}{4}\right)}\right)}{a^3\,f}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\sqrt{-b^3\,\left(a+b\right)}\,\left(\frac{\frac{a^7\,b^2}{2}+2\,a^6\,b^3}{a^6\,b}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^3+512\,a^6\,b^4\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{512\,a^4\,b\,\left(a^4\,b^3+a^3\,b^4\right)}\right)\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4-8\,a^3\,b+64\,a\,b^3+128\,b^4\right)}{32\,a^4\,b}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^4\,b^3+a^3\,b^4\right)}-\frac{\left(\frac{\sqrt{-b^3\,\left(a+b\right)}\,\left(\frac{\frac{a^7\,b^2}{2}+2\,a^6\,b^3}{a^6\,b}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^3+512\,a^6\,b^4\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{512\,a^4\,b\,\left(a^4\,b^3+a^3\,b^4\right)}\right)\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4-8\,a^3\,b+64\,a\,b^3+128\,b^4\right)}{32\,a^4\,b}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^4\,b^3+a^3\,b^4\right)}}{\frac{\frac{a^3}{32}-\frac{a^2\,b}{4}+\frac{a\,b^2}{4}+b^3}{a^6\,b}+\frac{\left(\frac{\sqrt{-b^3\,\left(a+b\right)}\,\left(\frac{\frac{a^7\,b^2}{2}+2\,a^6\,b^3}{a^6\,b}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^3+512\,a^6\,b^4\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{512\,a^4\,b\,\left(a^4\,b^3+a^3\,b^4\right)}\right)\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4-8\,a^3\,b+64\,a\,b^3+128\,b^4\right)}{32\,a^4\,b}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}+\frac{\left(\frac{\sqrt{-b^3\,\left(a+b\right)}\,\left(\frac{\frac{a^7\,b^2}{2}+2\,a^6\,b^3}{a^6\,b}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^7\,b^3+512\,a^6\,b^4\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{512\,a^4\,b\,\left(a^4\,b^3+a^3\,b^4\right)}\right)\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^4-8\,a^3\,b+64\,a\,b^3+128\,b^4\right)}{32\,a^4\,b}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)}{16\,\left(a^4\,b^3+a^3\,b^4\right)}}\right)\,\sqrt{-b^3\,\left(a+b\right)}\,\left(-a^2+4\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^4\,b^3+a^3\,b^4\right)}","Not used",1,"((tan(e + f*x)^3*(a - 4*b))/(8*a^2) - (tan(e + f*x)*(a + b)*(a + 4*b))/(8*a^2*b))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) - atan(tan(e + f*x)/(32*(b/(4*a) - 1/32)) + tan(e + f*x)/(4*(a/(32*b) - 1/4)))/(a^3*f) + (atan(-(((((-b^3*(a + b))^(1/2)*((2*a^6*b^3 + (a^7*b^2)/2)/(a^6*b) - (tan(e + f*x)*(512*a^6*b^4 + 256*a^7*b^3)*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(512*a^4*b*(a^3*b^4 + a^4*b^3)))*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3)) - (tan(e + f*x)*(64*a*b^3 - 8*a^3*b + a^4 + 128*b^4))/(32*a^4*b))*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2)*1i)/(16*(a^3*b^4 + a^4*b^3)) - ((((-b^3*(a + b))^(1/2)*((2*a^6*b^3 + (a^7*b^2)/2)/(a^6*b) + (tan(e + f*x)*(512*a^6*b^4 + 256*a^7*b^3)*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(512*a^4*b*(a^3*b^4 + a^4*b^3)))*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3)) + (tan(e + f*x)*(64*a*b^3 - 8*a^3*b + a^4 + 128*b^4))/(32*a^4*b))*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2)*1i)/(16*(a^3*b^4 + a^4*b^3)))/(((a*b^2)/4 - (a^2*b)/4 + a^3/32 + b^3)/(a^6*b) + ((((-b^3*(a + b))^(1/2)*((2*a^6*b^3 + (a^7*b^2)/2)/(a^6*b) - (tan(e + f*x)*(512*a^6*b^4 + 256*a^7*b^3)*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(512*a^4*b*(a^3*b^4 + a^4*b^3)))*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3)) - (tan(e + f*x)*(64*a*b^3 - 8*a^3*b + a^4 + 128*b^4))/(32*a^4*b))*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3)) + ((((-b^3*(a + b))^(1/2)*((2*a^6*b^3 + (a^7*b^2)/2)/(a^6*b) + (tan(e + f*x)*(512*a^6*b^4 + 256*a^7*b^3)*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(512*a^4*b*(a^3*b^4 + a^4*b^3)))*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3)) + (tan(e + f*x)*(64*a*b^3 - 8*a^3*b + a^4 + 128*b^4))/(32*a^4*b))*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2))/(16*(a^3*b^4 + a^4*b^3))))*(-b^3*(a + b))^(1/2)*(4*a*b - a^2 + 8*b^2)*1i)/(8*f*(a^3*b^4 + a^4*b^3))","B"
371,1,2405,138,7.442392,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(5\,a+4\,b\right)}{8\,a^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(4\,b^2+3\,a\,b\right)}{8\,a^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{128\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{64\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}}{a^3}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{128\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{64\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}}{a^3}}{\frac{\frac{9\,a^3\,b}{32}+\frac{3\,a^2\,b^2}{2}+\frac{9\,a\,b^3}{4}+b^4}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{128\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)\,1{}\mathrm{i}}{64\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}}{a^3}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{128\,a^3\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\left(\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4\right)\,1{}\mathrm{i}}{2\,\left(a^8+2\,a^7\,b+a^6\,b^2\right)}\right)\,1{}\mathrm{i}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)\,1{}\mathrm{i}}{64\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}}{a^3}}\right)}{a^3\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{32\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{512\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{32\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{512\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}}{\frac{\frac{9\,a^3\,b}{32}+\frac{3\,a^2\,b^2}{2}+\frac{9\,a\,b^3}{4}+b^4}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{32\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}-\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4}{a^8+2\,a^7\,b+a^6\,b^2}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{512\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(9\,a^4\,b+72\,a^3\,b^2+256\,a^2\,b^3+320\,a\,b^4+128\,b^5\right)}{32\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)}+\frac{\sqrt{-b\,{\left(a+b\right)}^3}\,\left(\frac{\frac{5\,a^8\,b^2}{2}+\frac{9\,a^7\,b^3}{2}+2\,a^6\,b^4}{a^8+2\,a^7\,b+a^6\,b^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,\left(256\,a^9\,b^2+1024\,a^8\,b^3+1280\,a^7\,b^4+512\,a^6\,b^5\right)}{512\,\left(a^6+2\,a^5\,b+a^4\,b^2\right)\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}\right)\,\left(3\,a^2+12\,a\,b+8\,b^2\right)}{16\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^3}\,\left(3\,a^2+12\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^6\,b+3\,a^5\,b^2+3\,a^4\,b^3+a^3\,b^4\right)}","Not used",1,"((tan(e + f*x)*(5*a + 4*b))/(8*a^2) + (tan(e + f*x)^3*(3*a*b + 4*b^2))/(8*a^2*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) - atan((((((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)*1i)/(2*(2*a^7*b + a^8 + a^6*b^2)) - (tan(e + f*x)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(128*a^3*(2*a^5*b + a^6 + a^4*b^2)))/(2*a^3) + (tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(64*(2*a^5*b + a^6 + a^4*b^2)))/a^3 - ((((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)*1i)/(2*(2*a^7*b + a^8 + a^6*b^2)) + (tan(e + f*x)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(128*a^3*(2*a^5*b + a^6 + a^4*b^2)))/(2*a^3) - (tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(64*(2*a^5*b + a^6 + a^4*b^2)))/a^3)/(((9*a*b^3)/4 + (9*a^3*b)/32 + b^4 + (3*a^2*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) + (((((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)*1i)/(2*(2*a^7*b + a^8 + a^6*b^2)) - (tan(e + f*x)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(128*a^3*(2*a^5*b + a^6 + a^4*b^2)))*1i)/(2*a^3) + (tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2)*1i)/(64*(2*a^5*b + a^6 + a^4*b^2)))/a^3 + (((((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)*1i)/(2*(2*a^7*b + a^8 + a^6*b^2)) + (tan(e + f*x)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(128*a^3*(2*a^5*b + a^6 + a^4*b^2)))*1i)/(2*a^3) - (tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2)*1i)/(64*(2*a^5*b + a^6 + a^4*b^2)))/a^3))/(a^3*f) - (atan((((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(32*(2*a^5*b + a^6 + a^4*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(12*a*b + 3*a^2 + 8*b^2)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(512*(2*a^5*b + a^6 + a^4*b^2)*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2)*1i)/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)) + ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(32*(2*a^5*b + a^6 + a^4*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(12*a*b + 3*a^2 + 8*b^2)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(512*(2*a^5*b + a^6 + a^4*b^2)*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2)*1i)/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))/(((9*a*b^3)/4 + (9*a^3*b)/32 + b^4 + (3*a^2*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) - ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(32*(2*a^5*b + a^6 + a^4*b^2)) - ((-b*(a + b)^3)^(1/2)*((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) - (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(12*a*b + 3*a^2 + 8*b^2)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(512*(2*a^5*b + a^6 + a^4*b^2)*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)) + ((-b*(a + b)^3)^(1/2)*((tan(e + f*x)*(320*a*b^4 + 9*a^4*b + 128*b^5 + 256*a^2*b^3 + 72*a^3*b^2))/(32*(2*a^5*b + a^6 + a^4*b^2)) + ((-b*(a + b)^3)^(1/2)*((2*a^6*b^4 + (9*a^7*b^3)/2 + (5*a^8*b^2)/2)/(2*a^7*b + a^8 + a^6*b^2) + (tan(e + f*x)*(-b*(a + b)^3)^(1/2)*(12*a*b + 3*a^2 + 8*b^2)*(512*a^6*b^5 + 1280*a^7*b^4 + 1024*a^8*b^3 + 256*a^9*b^2))/(512*(2*a^5*b + a^6 + a^4*b^2)*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2)))*(12*a*b + 3*a^2 + 8*b^2))/(16*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2))))*(-b*(a + b)^3)^(1/2)*(12*a*b + 3*a^2 + 8*b^2)*1i)/(8*f*(a^6*b + a^3*b^4 + 3*a^4*b^3 + 3*a^5*b^2))","B"
372,1,3271,144,8.427021,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\frac{\frac{-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}-\frac{\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\frac{\left(-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}+\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{128\,a^3\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6\right)\,1{}\mathrm{i}}{2\,\left(a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4\right)}\right)\,1{}\mathrm{i}}{2\,a^3}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)\,1{}\mathrm{i}}{64\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}}{a^3}}\right)}{a^3\,f}-\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(4\,b^3+7\,a\,b^2\right)}{8\,a^2\,{\left(a+b\right)}^2}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(4\,b^2+9\,a\,b\right)}{8\,a^2\,\left(a+b\right)}}{f\,\left(2\,a\,b+a^2+b^2+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}{\frac{\frac{105\,a^3\,b^3}{32}+\frac{25\,a^2\,b^4}{4}+\frac{17\,a\,b^5}{4}+b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}-\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}+\frac{\left(\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(289\,a^4\,b^3+856\,a^3\,b^4+1024\,a^2\,b^5+576\,a\,b^6+128\,b^7\right)}{32\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)}+\frac{\left(\frac{4\,a^{10}\,b^2+\frac{25\,a^9\,b^3}{2}+15\,a^8\,b^4+\frac{17\,a^7\,b^5}{2}+2\,a^6\,b^6}{a^{10}+4\,a^9\,b+6\,a^8\,b^2+4\,a^7\,b^3+a^6\,b^4}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,\left(256\,a^{11}\,b^2+1536\,a^{10}\,b^3+3584\,a^9\,b^4+4096\,a^8\,b^5+2304\,a^7\,b^6+512\,a^6\,b^7\right)}{512\,\left(a^8+4\,a^7\,b+6\,a^6\,b^2+4\,a^5\,b^3+a^4\,b^4\right)\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)}{16\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}}\right)\,\sqrt{-b\,{\left(a+b\right)}^5}\,\left(15\,a^2+20\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^8+5\,a^7\,b+10\,a^6\,b^2+10\,a^5\,b^3+5\,a^4\,b^4+a^3\,b^5\right)}","Not used",1,"atan((((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 - ((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3)/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) - (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) + (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3 + (((((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)*1i)/(2*(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2)) + (tan(e + f*x)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(128*a^3*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))*1i)/(2*a^3) - (tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3)*1i)/(64*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)))/a^3))/(a^3*f) - ((tan(e + f*x)^3*(7*a*b^2 + 4*b^3))/(8*a^2*(a + b)^2) + (tan(e + f*x)*(9*a*b + 4*b^2))/(8*a^2*(a + b)))/(f*(2*a*b + a^2 + b^2 + tan(e + f*x)^2*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^4)) + (atan(((((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))/(((17*a*b^5)/4 + b^6 + (25*a^2*b^4)/4 + (105*a^3*b^3)/32)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) - (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) - (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)) + (((tan(e + f*x)*(576*a*b^6 + 128*b^7 + 1024*a^2*b^5 + 856*a^3*b^4 + 289*a^4*b^3))/(32*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)) + (((2*a^6*b^6 + (17*a^7*b^5)/2 + 15*a^8*b^4 + (25*a^9*b^3)/2 + 4*a^10*b^2)/(4*a^9*b + a^10 + a^6*b^4 + 4*a^7*b^3 + 6*a^8*b^2) + (tan(e + f*x)*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*(512*a^6*b^7 + 2304*a^7*b^6 + 4096*a^8*b^5 + 3584*a^9*b^4 + 1536*a^10*b^3 + 256*a^11*b^2))/(512*(4*a^7*b + a^8 + a^4*b^4 + 4*a^5*b^3 + 6*a^6*b^2)*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2)))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2))/(16*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))))*(-b*(a + b)^5)^(1/2)*(20*a*b + 15*a^2 + 8*b^2)*1i)/(8*f*(5*a^7*b + a^8 + a^3*b^5 + 5*a^4*b^4 + 10*a^5*b^3 + 10*a^6*b^2))","B"
373,1,4890,181,10.706284,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^3,x)","\frac{\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-8\,a^2\,b^2+11\,a\,b^3+4\,b^4\right)}{8\,a^2\,{\left(a+b\right)}^3}-\frac{1}{a+b}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-16\,a^2\,b+13\,a\,b^2+4\,b^3\right)}{8\,a^2\,{\left(a+b\right)}^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(2\,b^2+2\,a\,b\right)+\mathrm{tan}\left(e+f\,x\right)\,\left(a^2+2\,a\,b+b^2\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^5\right)}-\frac{\mathrm{atan}\left(\frac{286720\,a^6\,b^{15}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{3619840\,a^7\,b^{14}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{21052416\,a^8\,b^{13}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{74346496\,a^9\,b^{12}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{177172480\,a^{10}\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{299796480\,a^{11}\,b^{10}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{369346560\,a^{12}\,b^9\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{334344192\,a^{13}\,b^8\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{221663232\,a^{14}\,b^7\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{105978880\,a^{15}\,b^6\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{35445760\,a^{16}\,b^5\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{7864320\,a^{17}\,b^4\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{1048576\,a^{18}\,b^3\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}+\frac{65536\,a^{19}\,b^2\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{19}\,b^2+1048576\,a^{18}\,b^3+7864320\,a^{17}\,b^4+35445760\,a^{16}\,b^5+105978880\,a^{15}\,b^6+221663232\,a^{14}\,b^7+334344192\,a^{13}\,b^8+369346560\,a^{12}\,b^9+299796480\,a^{11}\,b^{10}+177172480\,a^{10}\,b^{11}+74346496\,a^9\,b^{12}+21052416\,a^8\,b^{13}+3619840\,a^7\,b^{14}+286720\,a^6\,b^{15}}\right)}{a^3\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{21}\,b^3+983040\,a^{20}\,b^4+8135680\,a^{19}\,b^5+43115520\,a^{18}\,b^6+154054656\,a^{17}\,b^7+387272704\,a^{16}\,b^8+708392960\,a^{15}\,b^9+965376000\,a^{14}\,b^{10}+994283520\,a^{13}\,b^{11}+778473472\,a^{12}\,b^{12}+462013440\,a^{11}\,b^{13}+205112320\,a^{10}\,b^{14}+66232320\,a^9\,b^{15}+14745600\,a^8\,b^{16}+2031616\,a^7\,b^{17}+131072\,a^6\,b^{18}\right)-\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{17}+999424\,a^{11}\,b^{16}+7405568\,a^{12}\,b^{15}+34897920\,a^{13}\,b^{14}+115474432\,a^{14}\,b^{13}+281329664\,a^{15}\,b^{12}+517603328\,a^{16}\,b^{11}+728825856\,a^{17}\,b^{10}+789381120\,a^{18}\,b^9+656195584\,a^{19}\,b^8+414515200\,a^{20}\,b^7+195067904\,a^{21}\,b^6+66060288\,a^{22}\,b^5+15155200\,a^{23}\,b^4+2097152\,a^{24}\,b^3+131072\,a^{25}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(262144\,a^{28}\,b^2+4456448\,a^{27}\,b^3+35389440\,a^{26}\,b^4+174325760\,a^{25}\,b^5+596377600\,a^{24}\,b^6+1502871552\,a^{23}\,b^7+2886467584\,a^{22}\,b^8+4310958080\,a^{21}\,b^9+5060689920\,a^{20}\,b^{10}+4685824000\,a^{19}\,b^{11}+3411279872\,a^{18}\,b^{12}+1932263424\,a^{17}\,b^{13}+834928640\,a^{16}\,b^{14}+266076160\,a^{15}\,b^{15}+58982400\,a^{14}\,b^{16}+8126464\,a^{13}\,b^{17}+524288\,a^{12}\,b^{18}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}+\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{21}\,b^3+983040\,a^{20}\,b^4+8135680\,a^{19}\,b^5+43115520\,a^{18}\,b^6+154054656\,a^{17}\,b^7+387272704\,a^{16}\,b^8+708392960\,a^{15}\,b^9+965376000\,a^{14}\,b^{10}+994283520\,a^{13}\,b^{11}+778473472\,a^{12}\,b^{12}+462013440\,a^{11}\,b^{13}+205112320\,a^{10}\,b^{14}+66232320\,a^9\,b^{15}+14745600\,a^8\,b^{16}+2031616\,a^7\,b^{17}+131072\,a^6\,b^{18}\right)+\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{17}+999424\,a^{11}\,b^{16}+7405568\,a^{12}\,b^{15}+34897920\,a^{13}\,b^{14}+115474432\,a^{14}\,b^{13}+281329664\,a^{15}\,b^{12}+517603328\,a^{16}\,b^{11}+728825856\,a^{17}\,b^{10}+789381120\,a^{18}\,b^9+656195584\,a^{19}\,b^8+414515200\,a^{20}\,b^7+195067904\,a^{21}\,b^6+66060288\,a^{22}\,b^5+15155200\,a^{23}\,b^4+2097152\,a^{24}\,b^3+131072\,a^{25}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(262144\,a^{28}\,b^2+4456448\,a^{27}\,b^3+35389440\,a^{26}\,b^4+174325760\,a^{25}\,b^5+596377600\,a^{24}\,b^6+1502871552\,a^{23}\,b^7+2886467584\,a^{22}\,b^8+4310958080\,a^{21}\,b^9+5060689920\,a^{20}\,b^{10}+4685824000\,a^{19}\,b^{11}+3411279872\,a^{18}\,b^{12}+1932263424\,a^{17}\,b^{13}+834928640\,a^{16}\,b^{14}+266076160\,a^{15}\,b^{15}+58982400\,a^{14}\,b^{16}+8126464\,a^{13}\,b^{17}+524288\,a^{12}\,b^{18}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}}{32768\,a^4\,b^{17}+499712\,a^5\,b^{16}+3416064\,a^6\,b^{15}+13829120\,a^7\,b^{14}+36684800\,a^8\,b^{13}+66318336\,a^9\,b^{12}+81629184\,a^{10}\,b^{11}+64616448\,a^{11}\,b^{10}+25344000\,a^{12}\,b^9-6246400\,a^{13}\,b^8-14405632\,a^{14}\,b^7-8444928\,a^{15}\,b^6-2415616\,a^{16}\,b^5-286720\,a^{17}\,b^4-\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{21}\,b^3+983040\,a^{20}\,b^4+8135680\,a^{19}\,b^5+43115520\,a^{18}\,b^6+154054656\,a^{17}\,b^7+387272704\,a^{16}\,b^8+708392960\,a^{15}\,b^9+965376000\,a^{14}\,b^{10}+994283520\,a^{13}\,b^{11}+778473472\,a^{12}\,b^{12}+462013440\,a^{11}\,b^{13}+205112320\,a^{10}\,b^{14}+66232320\,a^9\,b^{15}+14745600\,a^8\,b^{16}+2031616\,a^7\,b^{17}+131072\,a^6\,b^{18}\right)-\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{17}+999424\,a^{11}\,b^{16}+7405568\,a^{12}\,b^{15}+34897920\,a^{13}\,b^{14}+115474432\,a^{14}\,b^{13}+281329664\,a^{15}\,b^{12}+517603328\,a^{16}\,b^{11}+728825856\,a^{17}\,b^{10}+789381120\,a^{18}\,b^9+656195584\,a^{19}\,b^8+414515200\,a^{20}\,b^7+195067904\,a^{21}\,b^6+66060288\,a^{22}\,b^5+15155200\,a^{23}\,b^4+2097152\,a^{24}\,b^3+131072\,a^{25}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(262144\,a^{28}\,b^2+4456448\,a^{27}\,b^3+35389440\,a^{26}\,b^4+174325760\,a^{25}\,b^5+596377600\,a^{24}\,b^6+1502871552\,a^{23}\,b^7+2886467584\,a^{22}\,b^8+4310958080\,a^{21}\,b^9+5060689920\,a^{20}\,b^{10}+4685824000\,a^{19}\,b^{11}+3411279872\,a^{18}\,b^{12}+1932263424\,a^{17}\,b^{13}+834928640\,a^{16}\,b^{14}+266076160\,a^{15}\,b^{15}+58982400\,a^{14}\,b^{16}+8126464\,a^{13}\,b^{17}+524288\,a^{12}\,b^{18}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)\,\left(35\,a^2+28\,a\,b+8\,b^2\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}+\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{21}\,b^3+983040\,a^{20}\,b^4+8135680\,a^{19}\,b^5+43115520\,a^{18}\,b^6+154054656\,a^{17}\,b^7+387272704\,a^{16}\,b^8+708392960\,a^{15}\,b^9+965376000\,a^{14}\,b^{10}+994283520\,a^{13}\,b^{11}+778473472\,a^{12}\,b^{12}+462013440\,a^{11}\,b^{13}+205112320\,a^{10}\,b^{14}+66232320\,a^9\,b^{15}+14745600\,a^8\,b^{16}+2031616\,a^7\,b^{17}+131072\,a^6\,b^{18}\right)+\frac{\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{17}+999424\,a^{11}\,b^{16}+7405568\,a^{12}\,b^{15}+34897920\,a^{13}\,b^{14}+115474432\,a^{14}\,b^{13}+281329664\,a^{15}\,b^{12}+517603328\,a^{16}\,b^{11}+728825856\,a^{17}\,b^{10}+789381120\,a^{18}\,b^9+656195584\,a^{19}\,b^8+414515200\,a^{20}\,b^7+195067904\,a^{21}\,b^6+66060288\,a^{22}\,b^5+15155200\,a^{23}\,b^4+2097152\,a^{24}\,b^3+131072\,a^{25}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,\left(262144\,a^{28}\,b^2+4456448\,a^{27}\,b^3+35389440\,a^{26}\,b^4+174325760\,a^{25}\,b^5+596377600\,a^{24}\,b^6+1502871552\,a^{23}\,b^7+2886467584\,a^{22}\,b^8+4310958080\,a^{21}\,b^9+5060689920\,a^{20}\,b^{10}+4685824000\,a^{19}\,b^{11}+3411279872\,a^{18}\,b^{12}+1932263424\,a^{17}\,b^{13}+834928640\,a^{16}\,b^{14}+266076160\,a^{15}\,b^{15}+58982400\,a^{14}\,b^{16}+8126464\,a^{13}\,b^{17}+524288\,a^{12}\,b^{18}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}\right)\,\left(35\,a^2+28\,a\,b+8\,b^2\right)}{16\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}}\right)\,\sqrt{-b^3\,{\left(a+b\right)}^7}\,\left(35\,a^2+28\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^{10}+7\,a^9\,b+21\,a^8\,b^2+35\,a^7\,b^3+35\,a^6\,b^4+21\,a^5\,b^5+7\,a^4\,b^6+a^3\,b^7\right)}","Not used",1,"((tan(e + f*x)^4*(11*a*b^3 + 4*b^4 - 8*a^2*b^2))/(8*a^2*(a + b)^3) - 1/(a + b) + (tan(e + f*x)^2*(13*a*b^2 - 16*a^2*b + 4*b^3))/(8*a^2*(a + b)^2))/(f*(tan(e + f*x)^3*(2*a*b + 2*b^2) + tan(e + f*x)*(2*a*b + a^2 + b^2) + b^2*tan(e + f*x)^5)) - atan((286720*a^6*b^15*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (3619840*a^7*b^14*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (21052416*a^8*b^13*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (74346496*a^9*b^12*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (177172480*a^10*b^11*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (299796480*a^11*b^10*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (369346560*a^12*b^9*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (334344192*a^13*b^8*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (221663232*a^14*b^7*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (105978880*a^15*b^6*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (35445760*a^16*b^5*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (7864320*a^17*b^4*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (1048576*a^18*b^3*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2) + (65536*a^19*b^2*tan(e + f*x))/(286720*a^6*b^15 + 3619840*a^7*b^14 + 21052416*a^8*b^13 + 74346496*a^9*b^12 + 177172480*a^10*b^11 + 299796480*a^11*b^10 + 369346560*a^12*b^9 + 334344192*a^13*b^8 + 221663232*a^14*b^7 + 105978880*a^15*b^6 + 35445760*a^16*b^5 + 7864320*a^17*b^4 + 1048576*a^18*b^3 + 65536*a^19*b^2))/(a^3*f) - (atan((((-b^3*(a + b)^7)^(1/2)*(tan(e + f*x)*(131072*a^6*b^18 + 2031616*a^7*b^17 + 14745600*a^8*b^16 + 66232320*a^9*b^15 + 205112320*a^10*b^14 + 462013440*a^11*b^13 + 778473472*a^12*b^12 + 994283520*a^13*b^11 + 965376000*a^14*b^10 + 708392960*a^15*b^9 + 387272704*a^16*b^8 + 154054656*a^17*b^7 + 43115520*a^18*b^6 + 8135680*a^19*b^5 + 983040*a^20*b^4 + 65536*a^21*b^3) - ((-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(65536*a^10*b^17 + 999424*a^11*b^16 + 7405568*a^12*b^15 + 34897920*a^13*b^14 + 115474432*a^14*b^13 + 281329664*a^15*b^12 + 517603328*a^16*b^11 + 728825856*a^17*b^10 + 789381120*a^18*b^9 + 656195584*a^19*b^8 + 414515200*a^20*b^7 + 195067904*a^21*b^6 + 66060288*a^22*b^5 + 15155200*a^23*b^4 + 2097152*a^24*b^3 + 131072*a^25*b^2 - (tan(e + f*x)*(-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(524288*a^12*b^18 + 8126464*a^13*b^17 + 58982400*a^14*b^16 + 266076160*a^15*b^15 + 834928640*a^16*b^14 + 1932263424*a^17*b^13 + 3411279872*a^18*b^12 + 4685824000*a^19*b^11 + 5060689920*a^20*b^10 + 4310958080*a^21*b^9 + 2886467584*a^22*b^8 + 1502871552*a^23*b^7 + 596377600*a^24*b^6 + 174325760*a^25*b^5 + 35389440*a^26*b^4 + 4456448*a^27*b^3 + 262144*a^28*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)))*(28*a*b + 35*a^2 + 8*b^2)*1i)/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)) + ((-b^3*(a + b)^7)^(1/2)*(tan(e + f*x)*(131072*a^6*b^18 + 2031616*a^7*b^17 + 14745600*a^8*b^16 + 66232320*a^9*b^15 + 205112320*a^10*b^14 + 462013440*a^11*b^13 + 778473472*a^12*b^12 + 994283520*a^13*b^11 + 965376000*a^14*b^10 + 708392960*a^15*b^9 + 387272704*a^16*b^8 + 154054656*a^17*b^7 + 43115520*a^18*b^6 + 8135680*a^19*b^5 + 983040*a^20*b^4 + 65536*a^21*b^3) + ((-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(65536*a^10*b^17 + 999424*a^11*b^16 + 7405568*a^12*b^15 + 34897920*a^13*b^14 + 115474432*a^14*b^13 + 281329664*a^15*b^12 + 517603328*a^16*b^11 + 728825856*a^17*b^10 + 789381120*a^18*b^9 + 656195584*a^19*b^8 + 414515200*a^20*b^7 + 195067904*a^21*b^6 + 66060288*a^22*b^5 + 15155200*a^23*b^4 + 2097152*a^24*b^3 + 131072*a^25*b^2 + (tan(e + f*x)*(-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(524288*a^12*b^18 + 8126464*a^13*b^17 + 58982400*a^14*b^16 + 266076160*a^15*b^15 + 834928640*a^16*b^14 + 1932263424*a^17*b^13 + 3411279872*a^18*b^12 + 4685824000*a^19*b^11 + 5060689920*a^20*b^10 + 4310958080*a^21*b^9 + 2886467584*a^22*b^8 + 1502871552*a^23*b^7 + 596377600*a^24*b^6 + 174325760*a^25*b^5 + 35389440*a^26*b^4 + 4456448*a^27*b^3 + 262144*a^28*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)))*(28*a*b + 35*a^2 + 8*b^2)*1i)/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)))/(32768*a^4*b^17 + 499712*a^5*b^16 + 3416064*a^6*b^15 + 13829120*a^7*b^14 + 36684800*a^8*b^13 + 66318336*a^9*b^12 + 81629184*a^10*b^11 + 64616448*a^11*b^10 + 25344000*a^12*b^9 - 6246400*a^13*b^8 - 14405632*a^14*b^7 - 8444928*a^15*b^6 - 2415616*a^16*b^5 - 286720*a^17*b^4 - ((-b^3*(a + b)^7)^(1/2)*(tan(e + f*x)*(131072*a^6*b^18 + 2031616*a^7*b^17 + 14745600*a^8*b^16 + 66232320*a^9*b^15 + 205112320*a^10*b^14 + 462013440*a^11*b^13 + 778473472*a^12*b^12 + 994283520*a^13*b^11 + 965376000*a^14*b^10 + 708392960*a^15*b^9 + 387272704*a^16*b^8 + 154054656*a^17*b^7 + 43115520*a^18*b^6 + 8135680*a^19*b^5 + 983040*a^20*b^4 + 65536*a^21*b^3) - ((-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(65536*a^10*b^17 + 999424*a^11*b^16 + 7405568*a^12*b^15 + 34897920*a^13*b^14 + 115474432*a^14*b^13 + 281329664*a^15*b^12 + 517603328*a^16*b^11 + 728825856*a^17*b^10 + 789381120*a^18*b^9 + 656195584*a^19*b^8 + 414515200*a^20*b^7 + 195067904*a^21*b^6 + 66060288*a^22*b^5 + 15155200*a^23*b^4 + 2097152*a^24*b^3 + 131072*a^25*b^2 - (tan(e + f*x)*(-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(524288*a^12*b^18 + 8126464*a^13*b^17 + 58982400*a^14*b^16 + 266076160*a^15*b^15 + 834928640*a^16*b^14 + 1932263424*a^17*b^13 + 3411279872*a^18*b^12 + 4685824000*a^19*b^11 + 5060689920*a^20*b^10 + 4310958080*a^21*b^9 + 2886467584*a^22*b^8 + 1502871552*a^23*b^7 + 596377600*a^24*b^6 + 174325760*a^25*b^5 + 35389440*a^26*b^4 + 4456448*a^27*b^3 + 262144*a^28*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)))*(28*a*b + 35*a^2 + 8*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)) + ((-b^3*(a + b)^7)^(1/2)*(tan(e + f*x)*(131072*a^6*b^18 + 2031616*a^7*b^17 + 14745600*a^8*b^16 + 66232320*a^9*b^15 + 205112320*a^10*b^14 + 462013440*a^11*b^13 + 778473472*a^12*b^12 + 994283520*a^13*b^11 + 965376000*a^14*b^10 + 708392960*a^15*b^9 + 387272704*a^16*b^8 + 154054656*a^17*b^7 + 43115520*a^18*b^6 + 8135680*a^19*b^5 + 983040*a^20*b^4 + 65536*a^21*b^3) + ((-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(65536*a^10*b^17 + 999424*a^11*b^16 + 7405568*a^12*b^15 + 34897920*a^13*b^14 + 115474432*a^14*b^13 + 281329664*a^15*b^12 + 517603328*a^16*b^11 + 728825856*a^17*b^10 + 789381120*a^18*b^9 + 656195584*a^19*b^8 + 414515200*a^20*b^7 + 195067904*a^21*b^6 + 66060288*a^22*b^5 + 15155200*a^23*b^4 + 2097152*a^24*b^3 + 131072*a^25*b^2 + (tan(e + f*x)*(-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*(524288*a^12*b^18 + 8126464*a^13*b^17 + 58982400*a^14*b^16 + 266076160*a^15*b^15 + 834928640*a^16*b^14 + 1932263424*a^17*b^13 + 3411279872*a^18*b^12 + 4685824000*a^19*b^11 + 5060689920*a^20*b^10 + 4310958080*a^21*b^9 + 2886467584*a^22*b^8 + 1502871552*a^23*b^7 + 596377600*a^24*b^6 + 174325760*a^25*b^5 + 35389440*a^26*b^4 + 4456448*a^27*b^3 + 262144*a^28*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2)))*(28*a*b + 35*a^2 + 8*b^2))/(16*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))))*(-b^3*(a + b)^7)^(1/2)*(28*a*b + 35*a^2 + 8*b^2)*1i)/(8*f*(7*a^9*b + a^10 + a^3*b^7 + 7*a^4*b^6 + 21*a^5*b^5 + 35*a^6*b^4 + 35*a^7*b^3 + 21*a^8*b^2))","B"
374,1,7057,230,11.983061,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^3,x)","\frac{\mathrm{atan}\left(\frac{860160\,a^6\,b^{20}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{14515200\,a^7\,b^{19}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{115347456\,a^8\,b^{18}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{570587136\,a^9\,b^{17}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{1961717760\,a^{10}\,b^{16}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{4965811200\,a^{11}\,b^{15}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{9577308160\,a^{12}\,b^{14}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{14379552768\,a^{13}\,b^{13}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{17038737408\,a^{14}\,b^{12}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+7294187520\,a^{17}\,b^9+12106321920\,a^{16}\,b^{10}+16066462720\,a^{15}\,b^{11}+17038737408\,a^{14}\,b^{12}+14379552768\,a^{13}\,b^{13}+9577308160\,a^{12}\,b^{14}+4965811200\,a^{11}\,b^{15}+1961717760\,a^{10}\,b^{16}+570587136\,a^9\,b^{17}+115347456\,a^8\,b^{18}+14515200\,a^7\,b^{19}+860160\,a^6\,b^{20}}+\frac{16066462720\,a^{15}\,b^{11}\,\mathrm{tan}\left(e+f\,x\right)}{65536\,a^{24}\,b^2+1376256\,a^{23}\,b^3+13762560\,a^{22}\,b^4+87162880\,a^{21}\,b^5+392232960\,a^{20}\,b^6+1329527808\,a^{19}\,b^7+3502829568\,a^{18}\,b^8+729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0160\,a^6\,b^{20}}\right)}{a^3\,f}-\frac{\frac{1}{3\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,a+10\,b\right)}{3\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(-8\,a^3\,b^2-32\,a^2\,b^3+15\,a\,b^4+4\,b^5\right)}{8\,a^2\,{\left(a+b\right)}^4}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-48\,a^3\,b-184\,a^2\,b^2+51\,a\,b^3+12\,b^4\right)}{24\,a^2\,{\left(a+b\right)}^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^7\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{26}\,b^3+1310720\,a^{25}\,b^4+12451840\,a^{24}\,b^5+74711040\,a^{23}\,b^6+321586176\,a^{22}\,b^7+1069486080\,a^{21}\,b^8+2866513920\,a^{20}\,b^9+6309949440\,a^{19}\,b^{10}+11452103680\,a^{18}\,b^{11}+17084284928\,a^{17}\,b^{12}+20844212224\,a^{16}\,b^{13}+20693114880\,a^{15}\,b^{14}+16625679360\,a^{14}\,b^{15}+10739159040\,a^{13}\,b^{16}+5525833728\,a^{12}\,b^{17}+2234314752\,a^{11}\,b^{18}+695239680\,a^{10}\,b^{19}+161013760\,a^9\,b^{20}+26214400\,a^8\,b^{21}+2686976\,a^7\,b^{22}+131072\,a^6\,b^{23}\right)-\frac{\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{22}+1327104\,a^{11}\,b^{21}+13631488\,a^{12}\,b^{20}+91750400\,a^{13}\,b^{19}+443154432\,a^{14}\,b^{18}+1607925760\,a^{15}\,b^{17}+4509663232\,a^{16}\,b^{16}+9971564544\,a^{17}\,b^{15}+17627217920\,a^{18}\,b^{14}+25149669376\,a^{19}\,b^{13}+29127081984\,a^{20}\,b^{12}+27445297152\,a^{21}\,b^{11}+21016346624\,a^{22}\,b^{10}+13016432640\,a^{23}\,b^9+6461587456\,a^{24}\,b^8+2533752832\,a^{25}\,b^7+767361024\,a^{26}\,b^6+173293568\,a^{27}\,b^5+27525120\,a^{28}\,b^4+2752512\,a^{29}\,b^3+131072\,a^{30}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,\left(262144\,a^{33}\,b^2+5767168\,a^{32}\,b^3+60293120\,a^{31}\,b^4+398458880\,a^{30}\,b^5+1867776000\,a^{29}\,b^6+6604455936\,a^{28}\,b^7+18289262592\,a^{27}\,b^8+40642805760\,a^{26}\,b^9+73665085440\,a^{25}\,b^{10}+110074265600\,a^{24}\,b^{11}+136492089344\,a^{23}\,b^{12}+140895059968\,a^{22}\,b^{13}+121081692160\,a^{21}\,b^{14}+86365962240\,a^{20}\,b^{15}+50803507200\,a^{19}\,b^{16}+24385683456\,a^{18}\,b^{17}+9398648832\,a^{17}\,b^{18}+2839019520\,a^{16}\,b^{19}+647495680\,a^{15}\,b^{20}+104857600\,a^{14}\,b^{21}+10747904\,a^{13}\,b^{22}+524288\,a^{12}\,b^{23}\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}\right)\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}+\frac{\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{26}\,b^3+1310720\,a^{25}\,b^4+12451840\,a^{24}\,b^5+74711040\,a^{23}\,b^6+321586176\,a^{22}\,b^7+1069486080\,a^{21}\,b^8+2866513920\,a^{20}\,b^9+6309949440\,a^{19}\,b^{10}+11452103680\,a^{18}\,b^{11}+17084284928\,a^{17}\,b^{12}+20844212224\,a^{16}\,b^{13}+20693114880\,a^{15}\,b^{14}+16625679360\,a^{14}\,b^{15}+10739159040\,a^{13}\,b^{16}+5525833728\,a^{12}\,b^{17}+2234314752\,a^{11}\,b^{18}+695239680\,a^{10}\,b^{19}+161013760\,a^9\,b^{20}+26214400\,a^8\,b^{21}+2686976\,a^7\,b^{22}+131072\,a^6\,b^{23}\right)+\frac{\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{22}+1327104\,a^{11}\,b^{21}+13631488\,a^{12}\,b^{20}+91750400\,a^{13}\,b^{19}+443154432\,a^{14}\,b^{18}+1607925760\,a^{15}\,b^{17}+4509663232\,a^{16}\,b^{16}+9971564544\,a^{17}\,b^{15}+17627217920\,a^{18}\,b^{14}+25149669376\,a^{19}\,b^{13}+29127081984\,a^{20}\,b^{12}+27445297152\,a^{21}\,b^{11}+21016346624\,a^{22}\,b^{10}+13016432640\,a^{23}\,b^9+6461587456\,a^{24}\,b^8+2533752832\,a^{25}\,b^7+767361024\,a^{26}\,b^6+173293568\,a^{27}\,b^5+27525120\,a^{28}\,b^4+2752512\,a^{29}\,b^3+131072\,a^{30}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,\left(262144\,a^{33}\,b^2+5767168\,a^{32}\,b^3+60293120\,a^{31}\,b^4+398458880\,a^{30}\,b^5+1867776000\,a^{29}\,b^6+6604455936\,a^{28}\,b^7+18289262592\,a^{27}\,b^8+40642805760\,a^{26}\,b^9+73665085440\,a^{25}\,b^{10}+110074265600\,a^{24}\,b^{11}+136492089344\,a^{23}\,b^{12}+140895059968\,a^{22}\,b^{13}+121081692160\,a^{21}\,b^{14}+86365962240\,a^{20}\,b^{15}+50803507200\,a^{19}\,b^{16}+24385683456\,a^{18}\,b^{17}+9398648832\,a^{17}\,b^{18}+2839019520\,a^{16}\,b^{19}+647495680\,a^{15}\,b^{20}+104857600\,a^{14}\,b^{21}+10747904\,a^{13}\,b^{22}+524288\,a^{12}\,b^{23}\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,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5683456\,a^{18}\,b^{17}+9398648832\,a^{17}\,b^{18}+2839019520\,a^{16}\,b^{19}+647495680\,a^{15}\,b^{20}+104857600\,a^{14}\,b^{21}+10747904\,a^{13}\,b^{22}+524288\,a^{12}\,b^{23}\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}\right)\,\left(63\,a^2+36\,a\,b+8\,b^2\right)}{16\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}}\right)\,\sqrt{-b^5\,{\left(a+b\right)}^9}\,\left(63\,a^2+36\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^{12}+9\,a^{11}\,b+36\,a^{10}\,b^2+84\,a^9\,b^3+126\,a^8\,b^4+126\,a^7\,b^5+84\,a^6\,b^6+36\,a^5\,b^7+9\,a^4\,b^8+a^3\,b^9\right)}","Not used",1,"atan((860160*a^6*b^20*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (14515200*a^7*b^19*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (115347456*a^8*b^18*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (570587136*a^9*b^17*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (1961717760*a^10*b^16*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (4965811200*a^11*b^15*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (9577308160*a^12*b^14*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (14379552768*a^13*b^13*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (17038737408*a^14*b^12*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (16066462720*a^15*b^11*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (12106321920*a^16*b^10*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (7294187520*a^17*b^9*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (3502829568*a^18*b^8*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (1329527808*a^19*b^7*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (392232960*a^20*b^6*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (87162880*a^21*b^5*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (13762560*a^22*b^4*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (1376256*a^23*b^3*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2) + (65536*a^24*b^2*tan(e + f*x))/(860160*a^6*b^20 + 14515200*a^7*b^19 + 115347456*a^8*b^18 + 570587136*a^9*b^17 + 1961717760*a^10*b^16 + 4965811200*a^11*b^15 + 9577308160*a^12*b^14 + 14379552768*a^13*b^13 + 17038737408*a^14*b^12 + 16066462720*a^15*b^11 + 12106321920*a^16*b^10 + 7294187520*a^17*b^9 + 3502829568*a^18*b^8 + 1329527808*a^19*b^7 + 392232960*a^20*b^6 + 87162880*a^21*b^5 + 13762560*a^22*b^4 + 1376256*a^23*b^3 + 65536*a^24*b^2))/(a^3*f) - (1/(3*(a + b)) - (tan(e + f*x)^2*(3*a + 10*b))/(3*(a + b)^2) + (tan(e + f*x)^6*(15*a*b^4 + 4*b^5 - 32*a^2*b^3 - 8*a^3*b^2))/(8*a^2*(a + b)^4) + (tan(e + f*x)^4*(51*a*b^3 - 48*a^3*b + 12*b^4 - 184*a^2*b^2))/(24*a^2*(a + b)^3))/(f*(tan(e + f*x)^3*(2*a*b + a^2 + b^2) + tan(e + f*x)^5*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^7)) - (atan((((-b^5*(a + b)^9)^(1/2)*(tan(e + f*x)*(131072*a^6*b^23 + 2686976*a^7*b^22 + 26214400*a^8*b^21 + 161013760*a^9*b^20 + 695239680*a^10*b^19 + 2234314752*a^11*b^18 + 5525833728*a^12*b^17 + 10739159040*a^13*b^16 + 16625679360*a^14*b^15 + 20693114880*a^15*b^14 + 20844212224*a^16*b^13 + 17084284928*a^17*b^12 + 11452103680*a^18*b^11 + 6309949440*a^19*b^10 + 2866513920*a^20*b^9 + 1069486080*a^21*b^8 + 321586176*a^22*b^7 + 74711040*a^23*b^6 + 12451840*a^24*b^5 + 1310720*a^25*b^4 + 65536*a^26*b^3) - ((-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(65536*a^10*b^22 + 1327104*a^11*b^21 + 13631488*a^12*b^20 + 91750400*a^13*b^19 + 443154432*a^14*b^18 + 1607925760*a^15*b^17 + 4509663232*a^16*b^16 + 9971564544*a^17*b^15 + 17627217920*a^18*b^14 + 25149669376*a^19*b^13 + 29127081984*a^20*b^12 + 27445297152*a^21*b^11 + 21016346624*a^22*b^10 + 13016432640*a^23*b^9 + 6461587456*a^24*b^8 + 2533752832*a^25*b^7 + 767361024*a^26*b^6 + 173293568*a^27*b^5 + 27525120*a^28*b^4 + 2752512*a^29*b^3 + 131072*a^30*b^2 - (tan(e + f*x)*(-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(524288*a^12*b^23 + 10747904*a^13*b^22 + 104857600*a^14*b^21 + 647495680*a^15*b^20 + 2839019520*a^16*b^19 + 9398648832*a^17*b^18 + 24385683456*a^18*b^17 + 50803507200*a^19*b^16 + 86365962240*a^20*b^15 + 121081692160*a^21*b^14 + 140895059968*a^22*b^13 + 136492089344*a^23*b^12 + 110074265600*a^24*b^11 + 73665085440*a^25*b^10 + 40642805760*a^26*b^9 + 18289262592*a^27*b^8 + 6604455936*a^28*b^7 + 1867776000*a^29*b^6 + 398458880*a^30*b^5 + 60293120*a^31*b^4 + 5767168*a^32*b^3 + 262144*a^33*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)))*(36*a*b + 63*a^2 + 8*b^2)*1i)/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)) + ((-b^5*(a + b)^9)^(1/2)*(tan(e + f*x)*(131072*a^6*b^23 + 2686976*a^7*b^22 + 26214400*a^8*b^21 + 161013760*a^9*b^20 + 695239680*a^10*b^19 + 2234314752*a^11*b^18 + 5525833728*a^12*b^17 + 10739159040*a^13*b^16 + 16625679360*a^14*b^15 + 20693114880*a^15*b^14 + 20844212224*a^16*b^13 + 17084284928*a^17*b^12 + 11452103680*a^18*b^11 + 6309949440*a^19*b^10 + 2866513920*a^20*b^9 + 1069486080*a^21*b^8 + 321586176*a^22*b^7 + 74711040*a^23*b^6 + 12451840*a^24*b^5 + 1310720*a^25*b^4 + 65536*a^26*b^3) + ((-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(65536*a^10*b^22 + 1327104*a^11*b^21 + 13631488*a^12*b^20 + 91750400*a^13*b^19 + 443154432*a^14*b^18 + 1607925760*a^15*b^17 + 4509663232*a^16*b^16 + 9971564544*a^17*b^15 + 17627217920*a^18*b^14 + 25149669376*a^19*b^13 + 29127081984*a^20*b^12 + 27445297152*a^21*b^11 + 21016346624*a^22*b^10 + 13016432640*a^23*b^9 + 6461587456*a^24*b^8 + 2533752832*a^25*b^7 + 767361024*a^26*b^6 + 173293568*a^27*b^5 + 27525120*a^28*b^4 + 2752512*a^29*b^3 + 131072*a^30*b^2 + (tan(e + f*x)*(-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(524288*a^12*b^23 + 10747904*a^13*b^22 + 104857600*a^14*b^21 + 647495680*a^15*b^20 + 2839019520*a^16*b^19 + 9398648832*a^17*b^18 + 24385683456*a^18*b^17 + 50803507200*a^19*b^16 + 86365962240*a^20*b^15 + 121081692160*a^21*b^14 + 140895059968*a^22*b^13 + 136492089344*a^23*b^12 + 110074265600*a^24*b^11 + 73665085440*a^25*b^10 + 40642805760*a^26*b^9 + 18289262592*a^27*b^8 + 6604455936*a^28*b^7 + 1867776000*a^29*b^6 + 398458880*a^30*b^5 + 60293120*a^31*b^4 + 5767168*a^32*b^3 + 262144*a^33*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)))*(36*a*b + 63*a^2 + 8*b^2)*1i)/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)))/(763699200*a^12*b^14 - 663552*a^5*b^21 - 5955584*a^6*b^20 - 31360000*a^7*b^19 - 106229760*a^8*b^18 - 233375744*a^9*b^17 - 293113856*a^10*b^16 - 19971072*a^11*b^15 - 32768*a^4*b^22 + 1804718080*a^13*b^13 + 2475196416*a^14*b^12 + 2343814144*a^15*b^11 + 1598148608*a^16*b^10 + 785971200*a^17*b^9 + 272035840*a^18*b^8 + 62651392*a^19*b^7 + 8552448*a^20*b^6 + 516096*a^21*b^5 + ((-b^5*(a + b)^9)^(1/2)*(tan(e + f*x)*(131072*a^6*b^23 + 2686976*a^7*b^22 + 26214400*a^8*b^21 + 161013760*a^9*b^20 + 695239680*a^10*b^19 + 2234314752*a^11*b^18 + 5525833728*a^12*b^17 + 10739159040*a^13*b^16 + 16625679360*a^14*b^15 + 20693114880*a^15*b^14 + 20844212224*a^16*b^13 + 17084284928*a^17*b^12 + 11452103680*a^18*b^11 + 6309949440*a^19*b^10 + 2866513920*a^20*b^9 + 1069486080*a^21*b^8 + 321586176*a^22*b^7 + 74711040*a^23*b^6 + 12451840*a^24*b^5 + 1310720*a^25*b^4 + 65536*a^26*b^3) - ((-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(65536*a^10*b^22 + 1327104*a^11*b^21 + 13631488*a^12*b^20 + 91750400*a^13*b^19 + 443154432*a^14*b^18 + 1607925760*a^15*b^17 + 4509663232*a^16*b^16 + 9971564544*a^17*b^15 + 17627217920*a^18*b^14 + 25149669376*a^19*b^13 + 29127081984*a^20*b^12 + 27445297152*a^21*b^11 + 21016346624*a^22*b^10 + 13016432640*a^23*b^9 + 6461587456*a^24*b^8 + 2533752832*a^25*b^7 + 767361024*a^26*b^6 + 173293568*a^27*b^5 + 27525120*a^28*b^4 + 2752512*a^29*b^3 + 131072*a^30*b^2 - (tan(e + f*x)*(-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(524288*a^12*b^23 + 10747904*a^13*b^22 + 104857600*a^14*b^21 + 647495680*a^15*b^20 + 2839019520*a^16*b^19 + 9398648832*a^17*b^18 + 24385683456*a^18*b^17 + 50803507200*a^19*b^16 + 86365962240*a^20*b^15 + 121081692160*a^21*b^14 + 140895059968*a^22*b^13 + 136492089344*a^23*b^12 + 110074265600*a^24*b^11 + 73665085440*a^25*b^10 + 40642805760*a^26*b^9 + 18289262592*a^27*b^8 + 6604455936*a^28*b^7 + 1867776000*a^29*b^6 + 398458880*a^30*b^5 + 60293120*a^31*b^4 + 5767168*a^32*b^3 + 262144*a^33*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)))*(36*a*b + 63*a^2 + 8*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)) - ((-b^5*(a + b)^9)^(1/2)*(tan(e + f*x)*(131072*a^6*b^23 + 2686976*a^7*b^22 + 26214400*a^8*b^21 + 161013760*a^9*b^20 + 695239680*a^10*b^19 + 2234314752*a^11*b^18 + 5525833728*a^12*b^17 + 10739159040*a^13*b^16 + 16625679360*a^14*b^15 + 20693114880*a^15*b^14 + 20844212224*a^16*b^13 + 17084284928*a^17*b^12 + 11452103680*a^18*b^11 + 6309949440*a^19*b^10 + 2866513920*a^20*b^9 + 1069486080*a^21*b^8 + 321586176*a^22*b^7 + 74711040*a^23*b^6 + 12451840*a^24*b^5 + 1310720*a^25*b^4 + 65536*a^26*b^3) + ((-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(65536*a^10*b^22 + 1327104*a^11*b^21 + 13631488*a^12*b^20 + 91750400*a^13*b^19 + 443154432*a^14*b^18 + 1607925760*a^15*b^17 + 4509663232*a^16*b^16 + 9971564544*a^17*b^15 + 17627217920*a^18*b^14 + 25149669376*a^19*b^13 + 29127081984*a^20*b^12 + 27445297152*a^21*b^11 + 21016346624*a^22*b^10 + 13016432640*a^23*b^9 + 6461587456*a^24*b^8 + 2533752832*a^25*b^7 + 767361024*a^26*b^6 + 173293568*a^27*b^5 + 27525120*a^28*b^4 + 2752512*a^29*b^3 + 131072*a^30*b^2 + (tan(e + f*x)*(-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*(524288*a^12*b^23 + 10747904*a^13*b^22 + 104857600*a^14*b^21 + 647495680*a^15*b^20 + 2839019520*a^16*b^19 + 9398648832*a^17*b^18 + 24385683456*a^18*b^17 + 50803507200*a^19*b^16 + 86365962240*a^20*b^15 + 121081692160*a^21*b^14 + 140895059968*a^22*b^13 + 136492089344*a^23*b^12 + 110074265600*a^24*b^11 + 73665085440*a^25*b^10 + 40642805760*a^26*b^9 + 18289262592*a^27*b^8 + 6604455936*a^28*b^7 + 1867776000*a^29*b^6 + 398458880*a^30*b^5 + 60293120*a^31*b^4 + 5767168*a^32*b^3 + 262144*a^33*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2)))*(36*a*b + 63*a^2 + 8*b^2))/(16*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))))*(-b^5*(a + b)^9)^(1/2)*(36*a*b + 63*a^2 + 8*b^2)*1i)/(8*f*(9*a^11*b + a^12 + a^3*b^9 + 9*a^4*b^8 + 36*a^5*b^7 + 84*a^6*b^6 + 126*a^7*b^5 + 126*a^8*b^4 + 84*a^9*b^3 + 36*a^10*b^2))","B"
375,1,7460,285,15.210063,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^3,x)","-\frac{\frac{1}{5\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(15\,a^2+65\,a\,b+113\,b^2\right)}{15\,{\left(a+b\right)}^3}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(5\,a+14\,b\right)}{15\,{\left(a+b\right)}^2}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(8\,a^4\,b^2+40\,a^3\,b^3+80\,a^2\,b^4-19\,a\,b^5-4\,b^6\right)}{8\,a^2\,{\left(a+b\right)}^5}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(48\,a^4\,b+232\,a^3\,b^2+448\,a^2\,b^3-63\,a\,b^4-12\,b^5\right)}{24\,a^2\,{\left(a+b\right)}^4}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5\,\left(a^2+2\,a\,b+b^2\right)+{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(2\,b^2+2\,a\,b\right)+b^2\,{\mathrm{tan}\left(e+f\,x\right)}^9\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{31}\,b^3+1638400\,a^{30}\,b^4+19660800\,a^{29}\,b^5+150732800\,a^{28}\,b^6+829030400\,a^{27}\,b^7+3481927680\,a^{26}\,b^8+11616461824\,a^{25}\,b^9+31662619648\,a^{24}\,b^{10}+72073323520\,a^{23}\,b^{11}+139446393856\,a^{22}\,b^{12}+232369345536\,a^{21}\,b^{13}+336152947712\,a^{20}\,b^{14}+423083193344\,a^{19}\,b^{15}+461878103040\,a^{18}\,b^{16}+434405198848\,a^{17}\,b^{17}+348859675648\,a^{16}\,b^{18}+236839037952\,a^{15}\,b^{19}+134472684544\,a^{14}\,b^{20}+63100984320\,a^{13}\,b^{21}+24132297728\,a^{12}\,b^{22}+7390051328\,a^{11}\,b^{23}+1768817664\,a^{10}\,b^{24}+319234048\,a^9\,b^{25}+40960000\,a^8\,b^{26}+3342336\,a^7\,b^{27}+131072\,a^6\,b^{28}\right)+\frac{\left(65536\,a^{10}\,b^{27}+1654784\,a^{11}\,b^{26}+21954560\,a^{12}\,b^{25}+194478080\,a^{13}\,b^{24}+1247936512\,a^{14}\,b^{23}+6060916736\,a^{15}\,b^{22}+22968795136\,a^{16}\,b^{21}+69506170880\,a^{17}\,b^{20}+170976215040\,a^{18}\,b^{19}+346596343808\,a^{19}\,b^{18}+585044721664\,a^{20}\,b^{17}+828584034304\,a^{21}\,b^{16}+989821665280\,a^{22}\,b^{15}+1000564490240\,a^{23}\,b^{14}+856970493952\,a^{24}\,b^{13}+621538574336\,a^{25}\,b^{12}+380751118336\,a^{26}\,b^{11}+196065116160\,a^{27}\,b^{10}+84230471680\,a^{28}\,b^9+29853974528\,a^{29}\,b^8+8588754944\,a^{30}\,b^7+1957904384\,a^{31}\,b^6+340787200\,a^{32}\,b^5+42598400\,a^{33}\,b^4+3407872\,a^{34}\,b^3+131072\,a^{35}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(262144\,a^{38}\,b^2+7077888\,a^{37}\,b^3+91750400\,a^{36}\,b^4+760217600\,a^{35}\,b^5+4521984000\,a^{34}\,b^6+20559953920\,a^{33}\,b^7+74281123840\,a^{32}\,b^8+218864025600\,a^{31}\,b^9+535553638400\,a^{30}\,b^{10}+1102610432000\,a^{29}\,b^{11}+1927993098240\,a^{28}\,b^{12}+2882252308480\,a^{27}\,b^{13}+3700188774400\,a^{26}\,b^{14}+4089682329600\,a^{25}\,b^{15}+3894935552000\,a^{24}\,b^{16}+3193847152640\,a^{23}\,b^{17}+2249325281280\,a^{22}\,b^{18}+1354635673600\,a^{21}\,b^{19}+693069414400\,a^{20}\,b^{20}+298450944000\,a^{19}\,b^{21}+106779115520\,a^{18}\,b^{22}+31171543040\,a^{17}\,b^{23}+7235174400\,a^{16}\,b^{24}+1284505600\,a^{15}\,b^{25}+163840000\,a^{14}\,b^{26}+13369344\,a^{13}\,b^{27}+524288\,a^{12}\,b^{28}\right)\,1{}\mathrm{i}}{2\,a^3}\right)\,1{}\mathrm{i}}{2\,a^3}}{2\,a^3}-\frac{-\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{31}\,b^3+1638400\,a^{30}\,b^4+19660800\,a^{29}\,b^5+150732800\,a^{28}\,b^6+829030400\,a^{27}\,b^7+3481927680\,a^{26}\,b^8+11616461824\,a^{25}\,b^9+31662619648\,a^{24}\,b^{10}+72073323520\,a^{23}\,b^{11}+139446393856\,a^{22}\,b^{12}+232369345536\,a^{21}\,b^{13}+336152947712\,a^{20}\,b^{14}+423083193344\,a^{19}\,b^{15}+461878103040\,a^{18}\,b^{16}+434405198848\,a^{17}\,b^{17}+348859675648\,a^{16}\,b^{18}+236839037952\,a^{15}\,b^{19}+134472684544\,a^{14}\,b^{20}+63100984320\,a^{13}\,b^{21}+24132297728\,a^{12}\,b^{22}+7390051328\,a^{11}\,b^{23}+1768817664\,a^{10}\,b^{24}+319234048\,a^9\,b^{25}+40960000\,a^8\,b^{26}+3342336\,a^7\,b^{27}+131072\,a^6\,b^{28}\right)+\frac{\left(65536\,a^{10}\,b^{27}+1654784\,a^{11}\,b^{26}+21954560\,a^{12}\,b^{25}+194478080\,a^{13}\,b^{24}+1247936512\,a^{14}\,b^{23}+6060916736\,a^{15}\,b^{22}+22968795136\,a^{16}\,b^{21}+69506170880\,a^{17}\,b^{20}+170976215040\,a^{18}\,b^{19}+346596343808\,a^{19}\,b^{18}+585044721664\,a^{20}\,b^{17}+828584034304\,a^{21}\,b^{16}+989821665280\,a^{22}\,b^{15}+1000564490240\,a^{23}\,b^{14}+856970493952\,a^{24}\,b^{13}+621538574336\,a^{25}\,b^{12}+380751118336\,a^{26}\,b^{11}+196065116160\,a^{27}\,b^{10}+84230471680\,a^{28}\,b^9+29853974528\,a^{29}\,b^8+8588754944\,a^{30}\,b^7+1957904384\,a^{31}\,b^6+340787200\,a^{32}\,b^5+42598400\,a^{33}\,b^4+3407872\,a^{34}\,b^3+131072\,a^{35}\,b^2-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(262144\,a^{38}\,b^2+7077888\,a^{37}\,b^3+91750400\,a^{36}\,b^4+760217600\,a^{35}\,b^5+4521984000\,a^{34}\,b^6+20559953920\,a^{33}\,b^7+74281123840\,a^{32}\,b^8+218864025600\,a^{31}\,b^9+535553638400\,a^{30}\,b^{10}+1102610432000\,a^{29}\,b^{11}+1927993098240\,a^{28}\,b^{12}+2882252308480\,a^{27}\,b^{13}+3700188774400\,a^{26}\,b^{14}+4089682329600\,a^{25}\,b^{15}+3894935552000\,a^{24}\,b^{16}+3193847152640\,a^{23}\,b^{17}+2249325281280\,a^{22}\,b^{18}+1354635673600\,a^{21}\,b^{19}+693069414400\,a^{20}\,b^{20}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,b^8+55\,a^5\,b^9+11\,a^4\,b^{10}+a^3\,b^{11}\right)}-\frac{\left(\mathrm{tan}\left(e+f\,x\right)\,\left(65536\,a^{31}\,b^3+1638400\,a^{30}\,b^4+19660800\,a^{29}\,b^5+150732800\,a^{28}\,b^6+829030400\,a^{27}\,b^7+3481927680\,a^{26}\,b^8+11616461824\,a^{25}\,b^9+31662619648\,a^{24}\,b^{10}+72073323520\,a^{23}\,b^{11}+139446393856\,a^{22}\,b^{12}+232369345536\,a^{21}\,b^{13}+336152947712\,a^{20}\,b^{14}+423083193344\,a^{19}\,b^{15}+461878103040\,a^{18}\,b^{16}+434405198848\,a^{17}\,b^{17}+348859675648\,a^{16}\,b^{18}+236839037952\,a^{15}\,b^{19}+134472684544\,a^{14}\,b^{20}+63100984320\,a^{13}\,b^{21}+24132297728\,a^{12}\,b^{22}+7390051328\,a^{11}\,b^{23}+1768817664\,a^{10}\,b^{24}+319234048\,a^9\,b^{25}+40960000\,a^8\,b^{26}+3342336\,a^7\,b^{27}+131072\,a^6\,b^{28}\right)+\frac{\sqrt{-b^7\,{\left(a+b\right)}^{11}}\,\left(99\,a^2+44\,a\,b+8\,b^2\right)\,\left(65536\,a^{10}\,b^{27}+1654784\,a^{11}\,b^{26}+21954560\,a^{12}\,b^{25}+194478080\,a^{13}\,b^{24}+1247936512\,a^{14}\,b^{23}+6060916736\,a^{15}\,b^{22}+22968795136\,a^{16}\,b^{21}+69506170880\,a^{17}\,b^{20}+170976215040\,a^{18}\,b^{19}+346596343808\,a^{19}\,b^{18}+585044721664\,a^{20}\,b^{17}+828584034304\,a^{21}\,b^{16}+989821665280\,a^{22}\,b^{15}+1000564490240\,a^{23}\,b^{14}+856970493952\,a^{24}\,b^{13}+621538574336\,a^{25}\,b^{12}+380751118336\,a^{26}\,b^{11}+196065116160\,a^{27}\,b^{10}+84230471680\,a^{28}\,b^9+29853974528\,a^{29}\,b^8+8588754944\,a^{30}\,b^7+1957904384\,a^{31}\,b^6+340787200\,a^{32}\,b^5+42598400\,a^{33}\,b^4+3407872\,a^{34}\,b^3+131072\,a^{35}\,b^2+\frac{\mathrm{tan}\left(e+f\,x\right)\,\sqrt{-b^7\,{\left(a+b\right)}^{11}}\,\left(99\,a^2+44\,a\,b+8\,b^2\right)\,\left(262144\,a^{38}\,b^2+7077888\,a^{37}\,b^3+91750400\,a^{36}\,b^4+760217600\,a^{35}\,b^5+4521984000\,a^{34}\,b^6+20559953920\,a^{33}\,b^7+74281123840\,a^{32}\,b^8+218864025600\,a^{31}\,b^9+535553638400\,a^{30}\,b^{10}+1102610432000\,a^{29}\,b^{11}+1927993098240\,a^{28}\,b^{12}+2882252308480\,a^{27}\,b^{13}+3700188774400\,a^{26}\,b^{14}+4089682329600\,a^{25}\,b^{15}+3894935552000\,a^{24}\,b^{16}+3193847152640\,a^{23}\,b^{17}+2249325281280\,a^{22}\,b^{18}+1354635673600\,a^{21}\,b^{19}+693069414400\,a^{20}\,b^{20}+298450944000\,a^{19}\,b^{21}+106779115520\,a^{18}\,b^{22}+31171543040\,a^{17}\,b^{23}+7235174400\,a^{16}\,b^{24}+1284505600\,a^{15}\,b^{25}+163840000\,a^{14}\,b^{26}+13369344\,a^{13}\,b^{27}+524288\,a^{12}\,b^{28}\right)}{16\,\left(a^{14}+11\,a^{13}\,b+55\,a^{12}\,b^2+165\,a^{11}\,b^3+330\,a^{10}\,b^4+462\,a^9\,b^5+462\,a^8\,b^6+330\,a^7\,b^7+165\,a^6\,b^8+55\,a^5\,b^9+11\,a^4\,b^{10}+a^3\,b^{11}\right)}\right)}{16\,\left(a^{14}+11\,a^{13}\,b+55\,a^{12}\,b^2+165\,a^{11}\,b^3+330\,a^{10}\,b^4+462\,a^9\,b^5+462\,a^8\,b^6+330\,a^7\,b^7+165\,a^6\,b^8+55\,a^5\,b^9+11\,a^4\,b^{10}+a^3\,b^{11}\right)}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^{11}}\,\left(99\,a^2+44\,a\,b+8\,b^2\right)}{16\,\left(a^{14}+11\,a^{13}\,b+55\,a^{12}\,b^2+165\,a^{11}\,b^3+330\,a^{10}\,b^4+462\,a^9\,b^5+462\,a^8\,b^6+330\,a^7\,b^7+165\,a^6\,b^8+55\,a^5\,b^9+11\,a^4\,b^{10}+a^3\,b^{11}\right)}}\right)\,\sqrt{-b^7\,{\left(a+b\right)}^{11}}\,\left(99\,a^2+44\,a\,b+8\,b^2\right)\,1{}\mathrm{i}}{8\,f\,\left(a^{14}+11\,a^{13}\,b+55\,a^{12}\,b^2+165\,a^{11}\,b^3+330\,a^{10}\,b^4+462\,a^9\,b^5+462\,a^8\,b^6+330\,a^7\,b^7+165\,a^6\,b^8+55\,a^5\,b^9+11\,a^4\,b^{10}+a^3\,b^{11}\right)}","Not used",1,"atan(((((65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 + (tan(e + f*x)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2)*1i)/(2*a^3))*1i)/(2*a^3) + tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3))/(2*a^3) - (((65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 - (tan(e + f*x)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2)*1i)/(2*a^3))*1i)/(2*a^3) - tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3))/(2*a^3))/(27354112*a^10*b^21 - ((((65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 - (tan(e + f*x)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2)*1i)/(2*a^3))*1i)/(2*a^3) - tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3))*1i)/(2*a^3) - 32768*a^4*b^27 - 827392*a^5*b^26 - 9084928*a^6*b^25 - 57263104*a^7*b^24 - 221133824*a^8*b^23 - 467977216*a^9*b^22 - ((((65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 + (tan(e + f*x)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2)*1i)/(2*a^3))*1i)/(2*a^3) + tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3))*1i)/(2*a^3) + 4041583616*a^11*b^20 + 16331772928*a^12*b^19 + 40173472768*a^13*b^18 + 71534228480*a^14*b^17 + 97563767808*a^15*b^16 + 104426556416*a^16*b^15 + 88612000768*a^17*b^14 + 59708484608*a^18*b^13 + 31782593536*a^19*b^12 + 13203725312*a^20*b^11 + 4193231872*a^21*b^10 + 984308736*a^22*b^9 + 161366016*a^23*b^8 + 16580608*a^24*b^7 + 811008*a^25*b^6))/(a^3*f) - (1/(5*(a + b)) + (tan(e + f*x)^4*(65*a*b + 15*a^2 + 113*b^2))/(15*(a + b)^3) - (tan(e + f*x)^2*(5*a + 14*b))/(15*(a + b)^2) + (tan(e + f*x)^8*(80*a^2*b^4 - 4*b^6 - 19*a*b^5 + 40*a^3*b^3 + 8*a^4*b^2))/(8*a^2*(a + b)^5) + (tan(e + f*x)^6*(48*a^4*b - 63*a*b^4 - 12*b^5 + 448*a^2*b^3 + 232*a^3*b^2))/(24*a^2*(a + b)^4))/(f*(tan(e + f*x)^5*(2*a*b + a^2 + b^2) + tan(e + f*x)^7*(2*a*b + 2*b^2) + b^2*tan(e + f*x)^9)) + (atan((((tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3) - ((-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 - (tan(e + f*x)*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)))*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*1i)/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)) + ((tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3) + ((-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 + (tan(e + f*x)*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)))*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*1i)/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)))/(27354112*a^10*b^21 - 827392*a^5*b^26 - 9084928*a^6*b^25 - 57263104*a^7*b^24 - 221133824*a^8*b^23 - 467977216*a^9*b^22 - 32768*a^4*b^27 + 4041583616*a^11*b^20 + 16331772928*a^12*b^19 + 40173472768*a^13*b^18 + 71534228480*a^14*b^17 + 97563767808*a^15*b^16 + 104426556416*a^16*b^15 + 88612000768*a^17*b^14 + 59708484608*a^18*b^13 + 31782593536*a^19*b^12 + 13203725312*a^20*b^11 + 4193231872*a^21*b^10 + 984308736*a^22*b^9 + 161366016*a^23*b^8 + 16580608*a^24*b^7 + 811008*a^25*b^6 + ((tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3) - ((-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 - (tan(e + f*x)*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)))*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)) - ((tan(e + f*x)*(131072*a^6*b^28 + 3342336*a^7*b^27 + 40960000*a^8*b^26 + 319234048*a^9*b^25 + 1768817664*a^10*b^24 + 7390051328*a^11*b^23 + 24132297728*a^12*b^22 + 63100984320*a^13*b^21 + 134472684544*a^14*b^20 + 236839037952*a^15*b^19 + 348859675648*a^16*b^18 + 434405198848*a^17*b^17 + 461878103040*a^18*b^16 + 423083193344*a^19*b^15 + 336152947712*a^20*b^14 + 232369345536*a^21*b^13 + 139446393856*a^22*b^12 + 72073323520*a^23*b^11 + 31662619648*a^24*b^10 + 11616461824*a^25*b^9 + 3481927680*a^26*b^8 + 829030400*a^27*b^7 + 150732800*a^28*b^6 + 19660800*a^29*b^5 + 1638400*a^30*b^4 + 65536*a^31*b^3) + ((-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(65536*a^10*b^27 + 1654784*a^11*b^26 + 21954560*a^12*b^25 + 194478080*a^13*b^24 + 1247936512*a^14*b^23 + 6060916736*a^15*b^22 + 22968795136*a^16*b^21 + 69506170880*a^17*b^20 + 170976215040*a^18*b^19 + 346596343808*a^19*b^18 + 585044721664*a^20*b^17 + 828584034304*a^21*b^16 + 989821665280*a^22*b^15 + 1000564490240*a^23*b^14 + 856970493952*a^24*b^13 + 621538574336*a^25*b^12 + 380751118336*a^26*b^11 + 196065116160*a^27*b^10 + 84230471680*a^28*b^9 + 29853974528*a^29*b^8 + 8588754944*a^30*b^7 + 1957904384*a^31*b^6 + 340787200*a^32*b^5 + 42598400*a^33*b^4 + 3407872*a^34*b^3 + 131072*a^35*b^2 + (tan(e + f*x)*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*(524288*a^12*b^28 + 13369344*a^13*b^27 + 163840000*a^14*b^26 + 1284505600*a^15*b^25 + 7235174400*a^16*b^24 + 31171543040*a^17*b^23 + 106779115520*a^18*b^22 + 298450944000*a^19*b^21 + 693069414400*a^20*b^20 + 1354635673600*a^21*b^19 + 2249325281280*a^22*b^18 + 3193847152640*a^23*b^17 + 3894935552000*a^24*b^16 + 4089682329600*a^25*b^15 + 3700188774400*a^26*b^14 + 2882252308480*a^27*b^13 + 1927993098240*a^28*b^12 + 1102610432000*a^29*b^11 + 535553638400*a^30*b^10 + 218864025600*a^31*b^9 + 74281123840*a^32*b^8 + 20559953920*a^33*b^7 + 4521984000*a^34*b^6 + 760217600*a^35*b^5 + 91750400*a^36*b^4 + 7077888*a^37*b^3 + 262144*a^38*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2)))*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2))/(16*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))))*(-b^7*(a + b)^11)^(1/2)*(44*a*b + 99*a^2 + 8*b^2)*1i)/(8*f*(11*a^13*b + a^14 + a^3*b^11 + 11*a^4*b^10 + 55*a^5*b^9 + 165*a^6*b^8 + 330*a^7*b^7 + 462*a^8*b^6 + 462*a^9*b^5 + 330*a^10*b^4 + 165*a^11*b^3 + 55*a^12*b^2))","B"
376,0,-1,111,0.000000,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
377,0,-1,80,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
378,1,46,54,5.486854,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2),x)","\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{f}-\frac{\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sqrt{a}}\right)}{f}","Not used",1,"(a + b/cos(e + f*x)^2)^(1/2)/f - (a^(1/2)*atanh((a + b/cos(e + f*x)^2)^(1/2)/a^(1/2)))/f","B"
379,0,-1,70,0.000000,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2),x)","\int \mathrm{cot}\left(e+f\,x\right)\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
380,0,-1,109,0.000000,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^3\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
381,0,-1,161,0.000000,"\text{Not used}","int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^5\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
382,0,-1,219,0.000000,"\text{Not used}","int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^6\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
383,0,-1,165,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
384,0,-1,118,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
385,0,-1,79,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(1/2),x)","\int \sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(1/2), x)","F"
386,0,-1,69,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
387,0,-1,114,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
388,0,-1,167,0.000000,"\text{Not used}","int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^6\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}} \,d x","Not used",1,"int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2)^(1/2), x)","F"
389,0,-1,135,0.000000,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
390,0,-1,104,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
391,1,66,78,7.157584,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2),x)","\frac{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}{3\,f}-\frac{a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sqrt{a}}\right)}{f}+\frac{a\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{f}","Not used",1,"(a + b/cos(e + f*x)^2)^(3/2)/(3*f) - (a^(3/2)*atanh((a + b/cos(e + f*x)^2)^(1/2)/a^(1/2)))/f + (a*(a + b/cos(e + f*x)^2)^(1/2))/f","B"
392,0,-1,91,0.000000,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2),x)","\int \mathrm{cot}\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
393,0,-1,114,0.000000,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
394,0,-1,159,0.000000,"\text{Not used}","int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)^5*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
395,0,-1,290,0.000000,"\text{Not used}","int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tan(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
396,0,-1,214,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
397,0,-1,166,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
398,0,-1,118,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^(3/2),x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^(3/2), x)","F"
399,0,-1,111,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
400,0,-1,112,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
401,0,-1,165,0.000000,"\text{Not used}","int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2),x)","\int {\mathrm{cot}\left(e+f\,x\right)}^6\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int(cot(e + f*x)^6*(a + b/cos(e + f*x)^2)^(3/2), x)","F"
402,0,-1,89,0.000000,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^5}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
403,0,-1,56,0.000000,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^3}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
404,1,27,33,5.090268,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sqrt{a}}\right)}{\sqrt{a}\,f}","Not used",1,"-atanh((a + b/cos(e + f*x)^2)^(1/2)/a^(1/2))/(a^(1/2)*f)","B"
405,0,-1,70,0.000000,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{\mathrm{cot}\left(e+f\,x\right)}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
406,0,-1,116,0.000000,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^3}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
407,0,-1,166,0.000000,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^5}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
408,0,-1,173,0.000000,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^6}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
409,0,-1,120,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
410,0,-1,80,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
411,0,-1,39,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{1}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
412,0,-1,74,0.000000,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^2}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
413,0,-1,119,0.000000,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^4}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
414,0,-1,172,0.000000,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^6}{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}} \,d x","Not used",1,"int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^(1/2), x)","F"
415,0,-1,88,0.000000,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
416,0,-1,63,0.000000,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
417,1,49,57,5.557558,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2),x)","\frac{1}{a\,f\,\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sqrt{a}}\right)}{a^{3/2}\,f}","Not used",1,"1/(a*f*(a + b/cos(e + f*x)^2)^(1/2)) - atanh((a + b/cos(e + f*x)^2)^(1/2)/a^(1/2))/(a^(3/2)*f)","B"
418,0,-1,100,0.000000,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{\mathrm{cot}\left(e+f\,x\right)}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
419,0,-1,153,0.000000,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
420,-1,-1,213,0.000000,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^(3/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
421,0,-1,172,0.000000,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
422,0,-1,116,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
423,0,-1,71,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
424,0,-1,77,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
425,0,-1,119,0.000000,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
426,0,-1,174,0.000000,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^(3/2), x)","F"
427,-1,-1,241,0.000000,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^(3/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
428,0,-1,97,0.000000,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^5}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tan(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
429,0,-1,89,0.000000,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tan(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
430,1,68,83,8.168221,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2),x)","\frac{\frac{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}{a^2}+\frac{1}{3\,a}}{f\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{3/2}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{{\cos\left(e+f\,x\right)}^2}}}{\sqrt{a}}\right)}{a^{5/2}\,f}","Not used",1,"((a + b/cos(e + f*x)^2)/a^2 + 1/(3*a))/(f*(a + b/cos(e + f*x)^2)^(3/2)) - atanh((a + b/cos(e + f*x)^2)^(1/2)/a^(1/2))/(a^(5/2)*f)","B"
431,0,-1,137,0.000000,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{\mathrm{cot}\left(e+f\,x\right)}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cot(e + f*x)/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
432,0,-1,200,0.000000,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^3}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cot(e + f*x)^3/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
433,-1,-1,268,0.000000,"\text{Not used}","int(cot(e + f*x)^5/(a + b/cos(e + f*x)^2)^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
434,0,-1,157,0.000000,"\text{Not used}","int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^6}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tan(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
435,0,-1,120,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tan(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
436,0,-1,119,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(tan(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
437,0,-1,125,0.000000,"\text{Not used}","int(1/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{1}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
438,0,-1,174,0.000000,"\text{Not used}","int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2),x)","\int \frac{{\mathrm{cot}\left(e+f\,x\right)}^2}{{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(cot(e + f*x)^2/(a + b/cos(e + f*x)^2)^(5/2), x)","F"
439,-1,-1,236,0.000000,"\text{Not used}","int(cot(e + f*x)^4/(a + b/cos(e + f*x)^2)^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
440,-1,-1,315,0.000000,"\text{Not used}","int(cot(e + f*x)^6/(a + b/cos(e + f*x)^2)^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
441,0,-1,105,0.000000,"\text{Not used}","int((d*tan(e + f*x))^m*(a + b/cos(e + f*x)^2)^p,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int((d*tan(e + f*x))^m*(a + b/cos(e + f*x)^2)^p, x)","F"
442,0,-1,122,0.000000,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^5\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^5*(a + b/cos(e + f*x)^2)^p, x)","F"
443,0,-1,86,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^3*(a + b/cos(e + f*x)^2)^p, x)","F"
444,0,-1,54,0.000000,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^2)^p,x)","\int \mathrm{tan}\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(tan(e + f*x)*(a + b/cos(e + f*x)^2)^p, x)","F"
445,0,-1,114,0.000000,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^p,x)","\int \mathrm{cot}\left(e+f\,x\right)\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cot(e + f*x)*(a + b/cos(e + f*x)^2)^p, x)","F"
446,0,-1,157,0.000000,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^3\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cot(e + f*x)^3*(a + b/cos(e + f*x)^2)^p, x)","F"
447,0,-1,88,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^4*(a + b/cos(e + f*x)^2)^p, x)","F"
448,0,-1,88,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^2*(a + b/cos(e + f*x)^2)^p, x)","F"
449,0,-1,83,0.000000,"\text{Not used}","int((a + b/cos(e + f*x)^2)^p,x)","\int {\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int((a + b/cos(e + f*x)^2)^p, x)","F"
450,0,-1,84,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cot(e + f*x)^2*(a + b/cos(e + f*x)^2)^p, x)","F"
451,0,-1,88,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^p,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,{\left(a+\frac{b}{{\cos\left(e+f\,x\right)}^2}\right)}^p \,d x","Not used",1,"int(cot(e + f*x)^4*(a + b/cos(e + f*x)^2)^p, x)","F"
452,1,227,92,8.788322,"\text{Not used}","int(tan(e + f*x)^5*(a + b/cos(e + f*x)^3),x)","\frac{2\,a\,\mathrm{atanh}\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}{f}-\frac{2\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-14\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+\left(32\,a+\frac{32\,b}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+\left(\frac{16\,b}{3}-32\,a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+\left(14\,a+\frac{16\,b}{5}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\left(-2\,a-\frac{16\,b}{15}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\frac{16\,b}{105}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}-7\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}+21\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}-35\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+35\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-21\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+7\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*a*atanh(tan(e/2 + (f*x)/2)^2))/f - ((16*b)/105 - tan(e/2 + (f*x)/2)^2*(2*a + (16*b)/15) + tan(e/2 + (f*x)/2)^4*(14*a + (16*b)/5) - tan(e/2 + (f*x)/2)^6*(32*a - (16*b)/3) + tan(e/2 + (f*x)/2)^8*(32*a + (32*b)/3) - 14*a*tan(e/2 + (f*x)/2)^10 + 2*a*tan(e/2 + (f*x)/2)^12)/(f*(7*tan(e/2 + (f*x)/2)^2 - 21*tan(e/2 + (f*x)/2)^4 + 35*tan(e/2 + (f*x)/2)^6 - 35*tan(e/2 + (f*x)/2)^8 + 21*tan(e/2 + (f*x)/2)^10 - 7*tan(e/2 + (f*x)/2)^12 + tan(e/2 + (f*x)/2)^14 - 1))","B"
453,1,167,61,8.392339,"\text{Not used}","int(tan(e + f*x)^3*(a + b/cos(e + f*x)^3),x)","\frac{2\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+\left(-6\,a-4\,b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+\left(6\,a-\frac{4\,b}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\left(-2\,a-\frac{4\,b}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\frac{4\,b}{15}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}-\frac{2\,a\,\mathrm{atanh}\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}{f}","Not used",1,"((4*b)/15 - tan(e/2 + (f*x)/2)^2*(2*a + (4*b)/3) - tan(e/2 + (f*x)/2)^6*(6*a + 4*b) + tan(e/2 + (f*x)/2)^4*(6*a - (4*b)/3) + 2*a*tan(e/2 + (f*x)/2)^8)/(f*(5*tan(e/2 + (f*x)/2)^2 - 10*tan(e/2 + (f*x)/2)^4 + 10*tan(e/2 + (f*x)/2)^6 - 5*tan(e/2 + (f*x)/2)^8 + tan(e/2 + (f*x)/2)^10 - 1)) - (2*a*atanh(tan(e/2 + (f*x)/2)^2))/f","B"
454,1,83,30,5.257017,"\text{Not used}","int(tan(e + f*x)*(a + b/cos(e + f*x)^3),x)","\frac{2\,a\,\mathrm{atanh}\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}{f}-\frac{2\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\frac{2\,b}{3}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*a*atanh(tan(e/2 + (f*x)/2)^2))/f - ((2*b)/3 + 2*b*tan(e/2 + (f*x)/2)^4)/(f*(3*tan(e/2 + (f*x)/2)^2 - 3*tan(e/2 + (f*x)/2)^4 + tan(e/2 + (f*x)/2)^6 - 1))","B"
455,1,72,54,4.637547,"\text{Not used}","int(cot(e + f*x)*(a + b/cos(e + f*x)^3),x)","\frac{a\,\ln\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}-\frac{a\,\ln\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}{f}-\frac{2\,b}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}+\frac{b\,\ln\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}","Not used",1,"(a*log(tan(e/2 + (f*x)/2)))/f - (a*log(tan(e/2 + (f*x)/2)^2 + 1))/f - (2*b)/(f*(tan(e/2 + (f*x)/2)^2 - 1)) + (b*log(tan(e/2 + (f*x)/2)))/f","B"
456,1,86,72,4.652523,"\text{Not used}","int(cot(e + f*x)^3*(a + b/cos(e + f*x)^3),x)","\frac{a\,\ln\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\frac{a}{8}-\frac{b}{8}\right)}{f}-\frac{{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\frac{a}{8}+\frac{b}{8}\right)}{f}-\frac{\ln\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(a-\frac{b}{2}\right)}{f}","Not used",1,"(a*log(tan(e/2 + (f*x)/2)^2 + 1))/f - (tan(e/2 + (f*x)/2)^2*(a/8 - b/8))/f - (cot(e/2 + (f*x)/2)^2*(a/8 + b/8))/f - (log(tan(e/2 + (f*x)/2))*(a - b/2))/f","B"
457,1,7402,219,7.257660,"\text{Not used}","int(tan(e + f*x)^5/(a + b/cos(e + f*x)^3),x)","\frac{\sum _{k=1}^3\ln\left(-\frac{\left(\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,b^{17}\,148-1920\,a\,b^{15}-156\,b^{16}\,\cos\left(e+f\,x\right)+300\,b^{16}+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,b^{18}\,16+5232\,a^2\,b^{14}-7872\,a^3\,b^{13}+7080\,a^4\,b^{12}-3840\,a^5\,b^{11}+1200\,a^6\,b^{10}-192\,a^7\,b^9+12\,a^8\,b^8-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^2\,b^{15}\,5916+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^3\,b^{14}\,4820+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^4\,b^{13}\,5933-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^5\,b^{12}\,12882+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^6\,b^{11}\,8891-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^7\,b^{10}\,2872+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^8\,b^9\,447-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^9\,b^8\,26+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^{10}\,b^7+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a\,b^{17}\,1396+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a\,b^{18}\,192-3936\,a^2\,b^{14}\,\cos\left(e+f\,x\right)+7152\,a^3\,b^{13}\,\cos\left(e+f\,x\right)-7800\,a^4\,b^{12}\,\cos\left(e+f\,x\right)+5136\,a^5\,b^{11}\,\cos\left(e+f\,x\right)-1920\,a^6\,b^{10}\,\cos\left(e+f\,x\right)+336\,a^7\,b^9\,\cos\left(e+f\,x\right)-12\,a^8\,b^8\,\cos\left(e+f\,x\right)-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^2\,b^{16}\,768+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^3\,b^{15}\,4772-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^4\,b^{14}\,13924+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^5\,b^{13}\,6927+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^6\,b^{12}\,5747-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^7\,b^{11}\,5944+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^8\,b^{10}\,2004-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^9\,b^9\,239+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^{10}\,b^8\,13+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^2\,b^{17}\,4296-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^3\,b^{16}\,11856+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^4\,b^{15}\,16956-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^5\,b^{14}\,17916+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^6\,b^{13}\,11175-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^7\,b^{12}\,4608+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^8\,b^{11}\,2118-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^9\,b^{10}\,372+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^{10}\,b^9\,15+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^2\,b^{18}\,864+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^3\,b^{17}\,3240-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^4\,b^{16}\,12996+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^5\,b^{15}\,4140+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^6\,b^{14}\,16668-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^7\,b^{13}\,16011+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^8\,b^{12}\,4959-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^9\,b^{11}\,873+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^{10}\,b^{10}\,9+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^3\,b^{18}\,1728-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^4\,b^{17}\,5724+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^5\,b^{16}\,6912-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^6\,b^{15}\,3024-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^7\,b^{14}\,1080+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^8\,b^{13}\,1836-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^9\,b^{12}\,648+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^4\,b^{18}\,1296-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^5\,b^{17}\,7452+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^6\,b^{16}\,14904-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^7\,b^{15}\,12960+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^8\,b^{14}\,4536-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^9\,b^{13}\,324+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a\,b^{16}\,1456-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,b^{17}\,\cos\left(e+f\,x\right)\,52+1200\,a\,b^{15}\,\cos\left(e+f\,x\right)-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a\,b^{16}\,\cos\left(e+f\,x\right)\,880+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^2\,b^{15}\,\cos\left(e+f\,x\right)\,4764-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^3\,b^{14}\,\cos\left(e+f\,x\right)\,6932-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^4\,b^{13}\,\cos\left(e+f\,x\right)\,1109+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^5\,b^{12}\,\cos\left(e+f\,x\right)\,12234-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^6\,b^{11}\,\cos\left(e+f\,x\right)\,12299+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^7\,b^{10}\,\cos\left(e+f\,x\right)\,5032-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^8\,b^9\,\cos\left(e+f\,x\right)\,807+\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^9\,b^8\,\cos\left(e+f\,x\right)\,50-\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)\,a^{10}\,b^7\,\cos\left(e+f\,x\right)-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a\,b^{17}\,\cos\left(e+f\,x\right)\,548+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^2\,b^{16}\,\cos\left(e+f\,x\right)\,160-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^3\,b^{15}\,\cos\left(e+f\,x\right)\,1380+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^4\,b^{14}\,\cos\left(e+f\,x\right)\,12140-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^5\,b^{13}\,\cos\left(e+f\,x\right)\,14767-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^6\,b^{12}\,\cos\left(e+f\,x\right)\,1659+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^7\,b^{11}\,\cos\left(e+f\,x\right)\,9272-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^8\,b^{10}\,\cos\left(e+f\,x\right)\,3691+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^9\,b^9\,\cos\left(e+f\,x\right)\,510-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^{10}\,b^8\,\cos\left(e+f\,x\right)\,38+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^2\,a^{11}\,b^7\,\cos\left(e+f\,x\right)-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^2\,b^{17}\,\cos\left(e+f\,x\right)\,1992+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^3\,b^{16}\,\cos\left(e+f\,x\right)\,8112-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^4\,b^{15}\,\cos\left(e+f\,x\right)\,18300+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^5\,b^{14}\,\cos\left(e+f\,x\right)\,19788-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^6\,b^{13}\,\cos\left(e+f\,x\right)\,10095+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^7\,b^{12}\,\cos\left(e+f\,x\right)\,6000-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^8\,b^{11}\,\cos\left(e+f\,x\right)\,4134+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^9\,b^{10}\,\cos\left(e+f\,x\right)\,660-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^3\,a^{10}\,b^9\,\cos\left(e+f\,x\right)\,39-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^3\,b^{17}\,\cos\left(e+f\,x\right)\,2376+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^4\,b^{16}\,\cos\left(e+f\,x\right)\,11124-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^5\,b^{15}\,\cos\left(e+f\,x\right)\,10044-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^6\,b^{14}\,\cos\left(e+f\,x\right)\,10260+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^7\,b^{13}\,\cos\left(e+f\,x\right)\,19899-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^8\,b^{12}\,\cos\left(e+f\,x\right)\,10287+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^9\,b^{11}\,\cos\left(e+f\,x\right)\,2025-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^4\,a^{10}\,b^{10}\,\cos\left(e+f\,x\right)\,81+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^4\,b^{17}\,\cos\left(e+f\,x\right)\,1404-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^5\,b^{16}\,\cos\left(e+f\,x\right)\,6048+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^6\,b^{15}\,\cos\left(e+f\,x\right)\,8208-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^7\,b^{14}\,\cos\left(e+f\,x\right)\,2376-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^8\,b^{13}\,\cos\left(e+f\,x\right)\,2700+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^5\,a^9\,b^{12}\,\cos\left(e+f\,x\right)\,1512+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^5\,b^{17}\,\cos\left(e+f\,x\right)\,3564-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^6\,b^{16}\,\cos\left(e+f\,x\right)\,12312+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^7\,b^{15}\,\cos\left(e+f\,x\right)\,15552-{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^8\,b^{14}\,\cos\left(e+f\,x\right)\,8424+{\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}^6\,a^9\,b^{13}\,\cos\left(e+f\,x\right)\,1620\right)\,262144}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,\mathrm{root}\left(27\,a^3\,b^4\,z^3+27\,a^2\,b^4\,z^2+9\,a\,b^4\,z+18\,a^3\,b^2\,z-2\,a^2\,b^2+b^4+a^4,z,k\right)}{f}+\frac{\ln\left(\frac{1}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)}{a\,f}+\frac{1}{b\,f\,\cos\left(e+f\,x\right)}","Not used",1,"symsum(log(-(262144*(148*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*b^17 - 1920*a*b^15 - 156*b^16*cos(e + f*x) + 300*b^16 + 16*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*b^18 + 5232*a^2*b^14 - 7872*a^3*b^13 + 7080*a^4*b^12 - 3840*a^5*b^11 + 1200*a^6*b^10 - 192*a^7*b^9 + 12*a^8*b^8 - 5916*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^2*b^15 + 4820*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^3*b^14 + 5933*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^4*b^13 - 12882*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^5*b^12 + 8891*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^6*b^11 - 2872*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^7*b^10 + 447*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^8*b^9 - 26*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^9*b^8 + root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^10*b^7 + 1396*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a*b^17 + 192*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a*b^18 - 3936*a^2*b^14*cos(e + f*x) + 7152*a^3*b^13*cos(e + f*x) - 7800*a^4*b^12*cos(e + f*x) + 5136*a^5*b^11*cos(e + f*x) - 1920*a^6*b^10*cos(e + f*x) + 336*a^7*b^9*cos(e + f*x) - 12*a^8*b^8*cos(e + f*x) - 768*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^2*b^16 + 4772*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^3*b^15 - 13924*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^4*b^14 + 6927*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^5*b^13 + 5747*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^6*b^12 - 5944*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^7*b^11 + 2004*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^8*b^10 - 239*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^9*b^9 + 13*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^10*b^8 + 4296*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^2*b^17 - 11856*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^3*b^16 + 16956*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^4*b^15 - 17916*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^5*b^14 + 11175*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^6*b^13 - 4608*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^7*b^12 + 2118*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^8*b^11 - 372*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^9*b^10 + 15*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^10*b^9 + 864*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^2*b^18 + 3240*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^3*b^17 - 12996*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^4*b^16 + 4140*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^5*b^15 + 16668*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^6*b^14 - 16011*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^7*b^13 + 4959*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^8*b^12 - 873*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^9*b^11 + 9*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^10*b^10 + 1728*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^3*b^18 - 5724*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^4*b^17 + 6912*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^5*b^16 - 3024*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^6*b^15 - 1080*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^7*b^14 + 1836*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^8*b^13 - 648*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^9*b^12 + 1296*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^4*b^18 - 7452*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^5*b^17 + 14904*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^6*b^16 - 12960*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^7*b^15 + 4536*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^8*b^14 - 324*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^9*b^13 + 1456*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a*b^16 - 52*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*b^17*cos(e + f*x) + 1200*a*b^15*cos(e + f*x) - 880*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a*b^16*cos(e + f*x) + 4764*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^2*b^15*cos(e + f*x) - 6932*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^3*b^14*cos(e + f*x) - 1109*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^4*b^13*cos(e + f*x) + 12234*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^5*b^12*cos(e + f*x) - 12299*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^6*b^11*cos(e + f*x) + 5032*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^7*b^10*cos(e + f*x) - 807*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^8*b^9*cos(e + f*x) + 50*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^9*b^8*cos(e + f*x) - root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)*a^10*b^7*cos(e + f*x) - 548*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a*b^17*cos(e + f*x) + 160*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^2*b^16*cos(e + f*x) - 1380*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^3*b^15*cos(e + f*x) + 12140*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^4*b^14*cos(e + f*x) - 14767*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^5*b^13*cos(e + f*x) - 1659*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^6*b^12*cos(e + f*x) + 9272*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^7*b^11*cos(e + f*x) - 3691*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^8*b^10*cos(e + f*x) + 510*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^9*b^9*cos(e + f*x) - 38*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^10*b^8*cos(e + f*x) + root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^2*a^11*b^7*cos(e + f*x) - 1992*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^2*b^17*cos(e + f*x) + 8112*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^3*b^16*cos(e + f*x) - 18300*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^4*b^15*cos(e + f*x) + 19788*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^5*b^14*cos(e + f*x) - 10095*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^6*b^13*cos(e + f*x) + 6000*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^7*b^12*cos(e + f*x) - 4134*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^8*b^11*cos(e + f*x) + 660*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^9*b^10*cos(e + f*x) - 39*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^3*a^10*b^9*cos(e + f*x) - 2376*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^3*b^17*cos(e + f*x) + 11124*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^4*b^16*cos(e + f*x) - 10044*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^5*b^15*cos(e + f*x) - 10260*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^6*b^14*cos(e + f*x) + 19899*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^7*b^13*cos(e + f*x) - 10287*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^8*b^12*cos(e + f*x) + 2025*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^9*b^11*cos(e + f*x) - 81*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^4*a^10*b^10*cos(e + f*x) + 1404*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^4*b^17*cos(e + f*x) - 6048*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^5*b^16*cos(e + f*x) + 8208*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^6*b^15*cos(e + f*x) - 2376*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^7*b^14*cos(e + f*x) - 2700*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^8*b^13*cos(e + f*x) + 1512*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^5*a^9*b^12*cos(e + f*x) + 3564*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^5*b^17*cos(e + f*x) - 12312*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^6*b^16*cos(e + f*x) + 15552*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^7*b^15*cos(e + f*x) - 8424*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^8*b^14*cos(e + f*x) + 1620*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k)^6*a^9*b^13*cos(e + f*x)))/cos(e/2 + (f*x)/2)^2)*root(27*a^3*b^4*z^3 + 27*a^2*b^4*z^2 + 9*a*b^4*z + 18*a^3*b^2*z - 2*a^2*b^2 + b^4 + a^4, z, k), k, 1, 3)/f + log(1/cos(e/2 + (f*x)/2)^2)/(a*f) + 1/(b*f*cos(e + f*x))","B"
458,1,1620,166,8.540427,"\text{Not used}","int(tan(e + f*x)^3/(a + b/cos(e + f*x)^3),x)","\frac{\sum _{k=1}^3\ln\left({\left(a-b\right)}^2\,\left(8\,a-8\,b+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a^2\,4+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,b^2\,4-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^3\,3-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a\,b^2\,24-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^3\,b\,36+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a\,b\,28+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^2\,b^2\,36\right)\,\left(16\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+32\,b^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a^3\,4-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,b^3\,4-8\,a^2+8\,b^2+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^4\,3-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a\,b^3\,24+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^3\,b\,3+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^4\,b\,36-48\,a\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^2\,b^2\,24-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^2\,b^3\,36+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,b^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a\,b^2\,32-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a^2\,b\,32-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a\,b^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,146+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)\,a^2\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,64+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a\,b^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^3\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,57-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^4\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,54+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^2\,a^2\,b^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,84-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^2\,b^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,36+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}^3\,a^3\,b^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,198\right)\,262144\right)\,\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z+a^2-b^2,z,k\right)}{f}-\frac{\ln\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}{a\,f}","Not used",1,"symsum(log(262144*(a - b)^2*(8*a - 8*b + 4*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a^2 + 4*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*b^2 - 3*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^3 - 24*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a*b^2 - 36*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^3*b + 28*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a*b + 36*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^2*b^2)*(16*a^2*tan(e/2 + (f*x)/2)^2 + 32*b^2*tan(e/2 + (f*x)/2)^2 - 4*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a^3 - 4*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*b^3 - 8*a^2 + 8*b^2 + 3*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^4 - 3*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^4*tan(e/2 + (f*x)/2)^2 + 24*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a*b^3 + 3*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^3*b + 36*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^4*b - 48*a*b*tan(e/2 + (f*x)/2)^2 + 24*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^2*b^2 - 36*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^2*b^3 + 14*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a^3*tan(e/2 + (f*x)/2)^2 - 4*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*b^3*tan(e/2 + (f*x)/2)^2 - 32*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a*b^2 - 32*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a^2*b - 146*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a*b^2*tan(e/2 + (f*x)/2)^2 + 64*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)*a^2*b*tan(e/2 + (f*x)/2)^2 + 24*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a*b^3*tan(e/2 + (f*x)/2)^2 + 57*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^3*b*tan(e/2 + (f*x)/2)^2 - 54*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^4*b*tan(e/2 + (f*x)/2)^2 + 84*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^2*a^2*b^2*tan(e/2 + (f*x)/2)^2 - 36*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^2*b^3*tan(e/2 + (f*x)/2)^2 + 198*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k)^3*a^3*b^2*tan(e/2 + (f*x)/2)^2))*root(27*a^3*b^2*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z + a^2 - b^2, z, k), k, 1, 3)/f - log(tan(e/2 + (f*x)/2)^2 + 1)/(a*f)","B"
459,1,114,23,5.189366,"\text{Not used}","int(tan(e + f*x)/(a + b/cos(e + f*x)^3),x)","\frac{3\,\ln\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)-\ln\left(a+b-3\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+3\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3\,b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+b\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\right)}{3\,a\,f}","Not used",1,"(3*log(tan(e/2 + (f*x)/2)^2 + 1) - log(a + b - 3*a*tan(e/2 + (f*x)/2)^2 + 3*a*tan(e/2 + (f*x)/2)^4 - a*tan(e/2 + (f*x)/2)^6 + 3*b*tan(e/2 + (f*x)/2)^2 + 3*b*tan(e/2 + (f*x)/2)^4 + b*tan(e/2 + (f*x)/2)^6))/(3*a*f)","B"
460,1,11182,295,7.897729,"\text{Not used}","int(cot(e + f*x)/(a + b/cos(e + f*x)^3),x)","-\frac{\ln\left(\frac{1}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)}{f\,\left(a+b\right)}+\frac{\ln\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,\left(a+b\right)}+\frac{a\,\left(\sum _{k=1}^3\ln\left(\frac{\left(\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,b^7\,832-22\,a\,b^5-840\,b^6\,\cos\left(e+f\,x\right)+440\,b^6-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,b^8\,264+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,b^9\,16+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^2\,b^5\,1823-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^3\,b^4\,21-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a\,b^7\,8864+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a\,b^8\,3092-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a\,b^9\,192+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,b^8\,\cos\left(e+f\,x\right)\,88-a^2\,b^4\,\cos\left(e+f\,x\right)+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^2\,b^6\,65221-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^3\,b^5\,32708+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^4\,b^4\,2859-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^5\,b^3\,9+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^2\,b^7\,26274-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^3\,b^6\,212230+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^4\,b^5\,216667-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^5\,b^4\,44745+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^6\,b^3\,1584-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^2\,b^8\,12720+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^3\,b^7\,14028+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^4\,b^6\,156387-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^5\,b^5\,457125+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^6\,b^4\,228117-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^7\,b^3\,24723+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^8\,b^2\,486+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^2\,b^9\,864+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^3\,b^8\,18792-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^4\,b^7\,151488+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^5\,b^6\,577008-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^6\,b^5\,414504-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^7\,b^4\,144432+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^8\,b^3\,63702+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^9\,b^2\,486-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^3\,b^9\,1728+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^4\,b^8\,3672+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^5\,b^7\,69444-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^6\,b^6\,637794+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^7\,b^5\,1468908-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^8\,b^4\,1112400+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^9\,b^3\,210384-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^{10}\,b^2\,486+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^4\,b^9\,1296-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^5\,b^8\,23004+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^6\,b^7\,195534-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^7\,b^6\,778734+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^8\,b^5\,1175796-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^9\,b^4\,690768+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{10}\,b^3\,120366-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{11}\,b^2\,486-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a\,b^6\,8702-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,b^7\,\cos\left(e+f\,x\right)\,272+62\,a\,b^5\,\cos\left(e+f\,x\right)+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a\,b^6\,\cos\left(e+f\,x\right)\,13774-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^2\,b^5\,\cos\left(e+f\,x\right)\,4098+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^3\,b^4\,\cos\left(e+f\,x\right)\,122+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a\,b^7\,\cos\left(e+f\,x\right)\,2088-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a\,b^8\,\cos\left(e+f\,x\right)\,980-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^2\,b^6\,\cos\left(e+f\,x\right)\,85013+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^3\,b^5\,\cos\left(e+f\,x\right)\,55956-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^4\,b^4\,\cos\left(e+f\,x\right)\,8075+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^5\,b^3\,\cos\left(e+f\,x\right)\,117+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^2\,b^7\,\cos\left(e+f\,x\right)\,818+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^3\,b^6\,\cos\left(e+f\,x\right)\,217434-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^4\,b^5\,\cos\left(e+f\,x\right)\,285091+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^5\,b^4\,\cos\left(e+f\,x\right)\,82633-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^6\,b^3\,\cos\left(e+f\,x\right)\,6984+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^2\,b^8\,\cos\left(e+f\,x\right)\,3792-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^3\,b^7\,\cos\left(e+f\,x\right)\,42132-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^4\,b^6\,\cos\left(e+f\,x\right)\,54423+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^5\,b^5\,\cos\left(e+f\,x\right)\,435417-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^6\,b^4\,\cos\left(e+f\,x\right)\,280113+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^7\,b^3\,\cos\left(e+f\,x\right)\,49239-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^8\,b^2\,\cos\left(e+f\,x\right)\,3402-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^3\,b^8\,\cos\left(e+f\,x\right)\,4968+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^4\,b^7\,\cos\left(e+f\,x\right)\,99864-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^5\,b^6\,\cos\left(e+f\,x\right)\,643536+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^6\,b^5\,\cos\left(e+f\,x\right)\,636552-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^7\,b^4\,\cos\left(e+f\,x\right)\,936-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^8\,b^3\,\cos\left(e+f\,x\right)\,28170-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^9\,b^2\,\cos\left(e+f\,x\right)\,3402-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^4\,b^8\,\cos\left(e+f\,x\right)\,2376+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^5\,b^7\,\cos\left(e+f\,x\right)\,972+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^6\,b^6\,\cos\left(e+f\,x\right)\,457758-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^7\,b^5\,\cos\left(e+f\,x\right)\,1352916+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^8\,b^4\,\cos\left(e+f\,x\right)\,1122336-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^9\,b^3\,\cos\left(e+f\,x\right)\,229176+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^{10}\,b^2\,\cos\left(e+f\,x\right)\,3402+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^5\,b^8\,\cos\left(e+f\,x\right)\,7452-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^6\,b^7\,\cos\left(e+f\,x\right)\,139482+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^7\,b^6\,\cos\left(e+f\,x\right)\,729810-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^8\,b^5\,\cos\left(e+f\,x\right)\,1208844+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^9\,b^4\,\cos\left(e+f\,x\right)\,752328-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{10}\,b^3\,\cos\left(e+f\,x\right)\,144666+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{11}\,b^2\,\cos\left(e+f\,x\right)\,3402\right)\,262144}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\right)}{f\,\left(a+b\right)}+\frac{b\,\left(\sum _{k=1}^3\ln\left(\frac{\left(\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,b^7\,832-22\,a\,b^5-840\,b^6\,\cos\left(e+f\,x\right)+440\,b^6-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,b^8\,264+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,b^9\,16+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^2\,b^5\,1823-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^3\,b^4\,21-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a\,b^7\,8864+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a\,b^8\,3092-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a\,b^9\,192+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,b^8\,\cos\left(e+f\,x\right)\,88-a^2\,b^4\,\cos\left(e+f\,x\right)+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^2\,b^6\,65221-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^3\,b^5\,32708+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^4\,b^4\,2859-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^5\,b^3\,9+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^2\,b^7\,26274-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^3\,b^6\,212230+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^4\,b^5\,216667-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^5\,b^4\,44745+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^6\,b^3\,1584-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^2\,b^8\,12720+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^3\,b^7\,14028+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^4\,b^6\,156387-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^5\,b^5\,457125+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^6\,b^4\,228117-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^7\,b^3\,24723+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^8\,b^2\,486+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^2\,b^9\,864+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^3\,b^8\,18792-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^4\,b^7\,151488+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^5\,b^6\,577008-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^6\,b^5\,414504-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^7\,b^4\,144432+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^8\,b^3\,63702+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^9\,b^2\,486-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^3\,b^9\,1728+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^4\,b^8\,3672+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^5\,b^7\,69444-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^6\,b^6\,637794+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^7\,b^5\,1468908-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^8\,b^4\,1112400+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^9\,b^3\,210384-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^{10}\,b^2\,486+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^4\,b^9\,1296-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^5\,b^8\,23004+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^6\,b^7\,195534-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^7\,b^6\,778734+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^8\,b^5\,1175796-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^9\,b^4\,690768+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{10}\,b^3\,120366-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{11}\,b^2\,486-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a\,b^6\,8702-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,b^7\,\cos\left(e+f\,x\right)\,272+62\,a\,b^5\,\cos\left(e+f\,x\right)+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a\,b^6\,\cos\left(e+f\,x\right)\,13774-\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^2\,b^5\,\cos\left(e+f\,x\right)\,4098+\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\,a^3\,b^4\,\cos\left(e+f\,x\right)\,122+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a\,b^7\,\cos\left(e+f\,x\right)\,2088-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a\,b^8\,\cos\left(e+f\,x\right)\,980-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^2\,b^6\,\cos\left(e+f\,x\right)\,85013+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^3\,b^5\,\cos\left(e+f\,x\right)\,55956-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^4\,b^4\,\cos\left(e+f\,x\right)\,8075+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^2\,a^5\,b^3\,\cos\left(e+f\,x\right)\,117+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^2\,b^7\,\cos\left(e+f\,x\right)\,818+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^3\,b^6\,\cos\left(e+f\,x\right)\,217434-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^4\,b^5\,\cos\left(e+f\,x\right)\,285091+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^5\,b^4\,\cos\left(e+f\,x\right)\,82633-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^3\,a^6\,b^3\,\cos\left(e+f\,x\right)\,6984+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^2\,b^8\,\cos\left(e+f\,x\right)\,3792-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^3\,b^7\,\cos\left(e+f\,x\right)\,42132-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^4\,b^6\,\cos\left(e+f\,x\right)\,54423+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^5\,b^5\,\cos\left(e+f\,x\right)\,435417-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^6\,b^4\,\cos\left(e+f\,x\right)\,280113+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^7\,b^3\,\cos\left(e+f\,x\right)\,49239-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^4\,a^8\,b^2\,\cos\left(e+f\,x\right)\,3402-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^3\,b^8\,\cos\left(e+f\,x\right)\,4968+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^4\,b^7\,\cos\left(e+f\,x\right)\,99864-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^5\,b^6\,\cos\left(e+f\,x\right)\,643536+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^6\,b^5\,\cos\left(e+f\,x\right)\,636552-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^7\,b^4\,\cos\left(e+f\,x\right)\,936-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^8\,b^3\,\cos\left(e+f\,x\right)\,28170-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^5\,a^9\,b^2\,\cos\left(e+f\,x\right)\,3402-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^4\,b^8\,\cos\left(e+f\,x\right)\,2376+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^5\,b^7\,\cos\left(e+f\,x\right)\,972+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^6\,b^6\,\cos\left(e+f\,x\right)\,457758-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^7\,b^5\,\cos\left(e+f\,x\right)\,1352916+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^8\,b^4\,\cos\left(e+f\,x\right)\,1122336-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^9\,b^3\,\cos\left(e+f\,x\right)\,229176+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^6\,a^{10}\,b^2\,\cos\left(e+f\,x\right)\,3402+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^5\,b^8\,\cos\left(e+f\,x\right)\,7452-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^6\,b^7\,\cos\left(e+f\,x\right)\,139482+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^7\,b^6\,\cos\left(e+f\,x\right)\,729810-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^8\,b^5\,\cos\left(e+f\,x\right)\,1208844+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^9\,b^4\,\cos\left(e+f\,x\right)\,752328-{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{10}\,b^3\,\cos\left(e+f\,x\right)\,144666+{\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)}^7\,a^{11}\,b^2\,\cos\left(e+f\,x\right)\,3402\right)\,262144}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,\mathrm{root}\left(27\,a^3\,b^2\,z^3-27\,a^5\,z^3-27\,a^2\,b^2\,z^2+9\,a\,b^2\,z-b^2,z,k\right)\right)}{f\,\left(a+b\right)}-\frac{b\,\ln\left(\frac{1}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)}{a\,f\,\left(a+b\right)}","Not used",1,"log(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))/(f*(a + b)) - log(1/cos(e/2 + (f*x)/2)^2)/(f*(a + b)) + (a*symsum(log((262144*(832*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*b^7 - 22*a*b^5 - 840*b^6*cos(e + f*x) + 440*b^6 - 264*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*b^8 + 16*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*b^9 + 1823*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^2*b^5 - 21*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^3*b^4 - 8864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a*b^7 + 3092*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a*b^8 - 192*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a*b^9 + 88*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*b^8*cos(e + f*x) - a^2*b^4*cos(e + f*x) + 65221*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^2*b^6 - 32708*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^3*b^5 + 2859*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^4*b^4 - 9*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^5*b^3 + 26274*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^2*b^7 - 212230*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^3*b^6 + 216667*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^4*b^5 - 44745*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^5*b^4 + 1584*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^6*b^3 - 12720*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^2*b^8 + 14028*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^3*b^7 + 156387*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^4*b^6 - 457125*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^5*b^5 + 228117*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^6*b^4 - 24723*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^7*b^3 + 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^8*b^2 + 864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^2*b^9 + 18792*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^3*b^8 - 151488*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^4*b^7 + 577008*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^5*b^6 - 414504*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^6*b^5 - 144432*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^7*b^4 + 63702*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^8*b^3 + 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^9*b^2 - 1728*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^3*b^9 + 3672*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^4*b^8 + 69444*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^5*b^7 - 637794*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^6*b^6 + 1468908*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^7*b^5 - 1112400*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^8*b^4 + 210384*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^9*b^3 - 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^10*b^2 + 1296*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^4*b^9 - 23004*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^5*b^8 + 195534*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^6*b^7 - 778734*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^7*b^6 + 1175796*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^8*b^5 - 690768*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^9*b^4 + 120366*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^10*b^3 - 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^11*b^2 - 8702*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a*b^6 - 272*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*b^7*cos(e + f*x) + 62*a*b^5*cos(e + f*x) + 13774*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a*b^6*cos(e + f*x) - 4098*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^2*b^5*cos(e + f*x) + 122*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^3*b^4*cos(e + f*x) + 2088*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a*b^7*cos(e + f*x) - 980*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a*b^8*cos(e + f*x) - 85013*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^2*b^6*cos(e + f*x) + 55956*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^3*b^5*cos(e + f*x) - 8075*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^4*b^4*cos(e + f*x) + 117*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^5*b^3*cos(e + f*x) + 818*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^2*b^7*cos(e + f*x) + 217434*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^3*b^6*cos(e + f*x) - 285091*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^4*b^5*cos(e + f*x) + 82633*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^5*b^4*cos(e + f*x) - 6984*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^6*b^3*cos(e + f*x) + 3792*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^2*b^8*cos(e + f*x) - 42132*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^3*b^7*cos(e + f*x) - 54423*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^4*b^6*cos(e + f*x) + 435417*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^5*b^5*cos(e + f*x) - 280113*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^6*b^4*cos(e + f*x) + 49239*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^7*b^3*cos(e + f*x) - 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^8*b^2*cos(e + f*x) - 4968*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^3*b^8*cos(e + f*x) + 99864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^4*b^7*cos(e + f*x) - 643536*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^5*b^6*cos(e + f*x) + 636552*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^6*b^5*cos(e + f*x) - 936*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^7*b^4*cos(e + f*x) - 28170*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^8*b^3*cos(e + f*x) - 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^9*b^2*cos(e + f*x) - 2376*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^4*b^8*cos(e + f*x) + 972*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^5*b^7*cos(e + f*x) + 457758*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^6*b^6*cos(e + f*x) - 1352916*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^7*b^5*cos(e + f*x) + 1122336*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^8*b^4*cos(e + f*x) - 229176*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^9*b^3*cos(e + f*x) + 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^10*b^2*cos(e + f*x) + 7452*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^5*b^8*cos(e + f*x) - 139482*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^6*b^7*cos(e + f*x) + 729810*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^7*b^6*cos(e + f*x) - 1208844*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^8*b^5*cos(e + f*x) + 752328*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^9*b^4*cos(e + f*x) - 144666*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^10*b^3*cos(e + f*x) + 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^11*b^2*cos(e + f*x)))/cos(e/2 + (f*x)/2)^2)*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k), k, 1, 3))/(f*(a + b)) + (b*symsum(log((262144*(832*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*b^7 - 22*a*b^5 - 840*b^6*cos(e + f*x) + 440*b^6 - 264*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*b^8 + 16*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*b^9 + 1823*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^2*b^5 - 21*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^3*b^4 - 8864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a*b^7 + 3092*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a*b^8 - 192*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a*b^9 + 88*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*b^8*cos(e + f*x) - a^2*b^4*cos(e + f*x) + 65221*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^2*b^6 - 32708*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^3*b^5 + 2859*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^4*b^4 - 9*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^5*b^3 + 26274*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^2*b^7 - 212230*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^3*b^6 + 216667*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^4*b^5 - 44745*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^5*b^4 + 1584*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^6*b^3 - 12720*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^2*b^8 + 14028*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^3*b^7 + 156387*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^4*b^6 - 457125*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^5*b^5 + 228117*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^6*b^4 - 24723*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^7*b^3 + 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^8*b^2 + 864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^2*b^9 + 18792*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^3*b^8 - 151488*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^4*b^7 + 577008*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^5*b^6 - 414504*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^6*b^5 - 144432*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^7*b^4 + 63702*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^8*b^3 + 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^9*b^2 - 1728*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^3*b^9 + 3672*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^4*b^8 + 69444*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^5*b^7 - 637794*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^6*b^6 + 1468908*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^7*b^5 - 1112400*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^8*b^4 + 210384*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^9*b^3 - 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^10*b^2 + 1296*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^4*b^9 - 23004*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^5*b^8 + 195534*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^6*b^7 - 778734*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^7*b^6 + 1175796*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^8*b^5 - 690768*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^9*b^4 + 120366*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^10*b^3 - 486*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^11*b^2 - 8702*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a*b^6 - 272*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*b^7*cos(e + f*x) + 62*a*b^5*cos(e + f*x) + 13774*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a*b^6*cos(e + f*x) - 4098*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^2*b^5*cos(e + f*x) + 122*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)*a^3*b^4*cos(e + f*x) + 2088*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a*b^7*cos(e + f*x) - 980*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a*b^8*cos(e + f*x) - 85013*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^2*b^6*cos(e + f*x) + 55956*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^3*b^5*cos(e + f*x) - 8075*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^4*b^4*cos(e + f*x) + 117*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^2*a^5*b^3*cos(e + f*x) + 818*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^2*b^7*cos(e + f*x) + 217434*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^3*b^6*cos(e + f*x) - 285091*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^4*b^5*cos(e + f*x) + 82633*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^5*b^4*cos(e + f*x) - 6984*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^3*a^6*b^3*cos(e + f*x) + 3792*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^2*b^8*cos(e + f*x) - 42132*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^3*b^7*cos(e + f*x) - 54423*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^4*b^6*cos(e + f*x) + 435417*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^5*b^5*cos(e + f*x) - 280113*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^6*b^4*cos(e + f*x) + 49239*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^7*b^3*cos(e + f*x) - 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^4*a^8*b^2*cos(e + f*x) - 4968*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^3*b^8*cos(e + f*x) + 99864*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^4*b^7*cos(e + f*x) - 643536*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^5*b^6*cos(e + f*x) + 636552*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^6*b^5*cos(e + f*x) - 936*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^7*b^4*cos(e + f*x) - 28170*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^8*b^3*cos(e + f*x) - 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^5*a^9*b^2*cos(e + f*x) - 2376*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^4*b^8*cos(e + f*x) + 972*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^5*b^7*cos(e + f*x) + 457758*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^6*b^6*cos(e + f*x) - 1352916*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^7*b^5*cos(e + f*x) + 1122336*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^8*b^4*cos(e + f*x) - 229176*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^9*b^3*cos(e + f*x) + 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^6*a^10*b^2*cos(e + f*x) + 7452*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^5*b^8*cos(e + f*x) - 139482*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^6*b^7*cos(e + f*x) + 729810*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^7*b^6*cos(e + f*x) - 1208844*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^8*b^5*cos(e + f*x) + 752328*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^9*b^4*cos(e + f*x) - 144666*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^10*b^3*cos(e + f*x) + 3402*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k)^7*a^11*b^2*cos(e + f*x)))/cos(e/2 + (f*x)/2)^2)*root(27*a^3*b^2*z^3 - 27*a^5*z^3 - 27*a^2*b^2*z^2 + 9*a*b^2*z - b^2, z, k), k, 1, 3))/(f*(a + b)) - (b*log(1/cos(e/2 + (f*x)/2)^2))/(a*f*(a + b))","B"
461,1,58699,393,19.524136,"\text{Not used}","int(cot(e + f*x)^3/(a + b/cos(e + f*x)^3),x)","-\frac{a^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+a^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-a\,b^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+a\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+2\,a^2\,b\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-8\,a^3\,\ln\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+8\,b^3\,\ln\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+8\,a^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\ln\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-8\,a^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\sum _{k=1}^3\ln\left(\frac{\left(980\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+336\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1764\,a^2\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+392\,a^3\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,640+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32-1176\,a^2\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-784\,a^3\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,952+2352\,a\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1944-56\,a\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,304+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,39032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,30296+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7420-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,168+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14240+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4064+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,27888-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55576-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32174-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3318+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24840+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^2\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,107772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^3\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,156216+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^4\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55448+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^5\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,21772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^6\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,35364+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^7\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3588-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^8\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3051+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^9\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,18+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^2\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,73528+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^3\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,222176-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^4\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,101192-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^5\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,567064-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^6\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,125428+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^7\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,278436+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^8\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,66894-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^9\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,26928-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{10}\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3042+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{11}\,b^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,648+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,19104+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^3\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,128832-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^4\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,191988-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^5\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,899856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^6\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,183204+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^7\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1173036-{\mathrm{root}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{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4449384-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{14}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,901152+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{15}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^4\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2592-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^5\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,58320+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^6\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,603936-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^7\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2230416+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^8\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,536544+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^9\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6518880-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{10}\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5251392-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{11}\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5590944+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{12}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6456672+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{13}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,838512-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{14}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2340576+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{15}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,522288-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{16}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,17192\right)\,131072}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\left(a+b\right)}^3\,\left(a^2-2\,a\,b+b^2\right)}\right)\,\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\right)+8\,a^2\,b^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\sum _{k=1}^3\ln\left(\frac{\left(980\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+336\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1764\,a^2\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+392\,a^3\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,640+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32-1176\,a^2\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-784\,a^3\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,952+2352\,a\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1944-56\,a\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,304+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,39032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,30296+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7420-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,168+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14240+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4064+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,27888-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55576-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32174-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3318+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24840+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^2\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,107772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^3\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,156216+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^4\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55448+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^5\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,21772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^6\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,35364+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^7\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3588-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^8\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3051+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^9\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,18+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^2\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,73528+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^3\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,222176-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^4\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,101192-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^5\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,567064-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^6\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,125428+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^7\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,278436+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^8\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,66894-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^9\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,26928-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{10}\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3042+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{11}\,b^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,648+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,19104+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^3\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,128832-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^4\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,191988-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^5\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,899856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^6\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,183204+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^7\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1173036-{\mathrm{root}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{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4449384-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{14}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,901152+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{15}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^4\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2592-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^5\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,58320+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^6\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,603936-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^7\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2230416+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^8\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,536544+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^9\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6518880-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{10}\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5251392-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{11}\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5590944+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{12}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6456672+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{13}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,838512-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{14}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2340576+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{15}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,522288-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{16}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,17192\right)\,131072}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\left(a+b\right)}^3\,\left(a^2-2\,a\,b+b^2\right)}\right)\,\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\right)+8\,a\,b^2\,\ln\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-8\,a^2\,b\,\ln\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-20\,a\,b^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\ln\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+12\,a^2\,b\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\ln\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+8\,a\,b^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\sum _{k=1}^3\ln\left(\frac{\left(980\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+336\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1764\,a^2\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+392\,a^3\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,640+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32-1176\,a^2\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-784\,a^3\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,952+2352\,a\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1944-56\,a\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,304+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,39032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,30296+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7420-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,168+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14240+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4064+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,27888-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55576-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32174-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3318+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24840+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^2\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,107772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^3\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,156216+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^4\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55448+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^5\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,21772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^6\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,35364+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^7\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3588-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^8\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3051+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^9\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,18+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^2\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,73528+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^3\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,222176-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^4\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,101192-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^5\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,567064-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^6\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,125428+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^7\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,278436+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^8\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,66894-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^9\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,26928-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{10}\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3042+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{11}\,b^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,648+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,19104+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^3\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,128832-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^4\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,191988-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^5\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,899856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^6\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,183204+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^7\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1173036-{\mathrm{root}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{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4449384-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{14}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,901152+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{15}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^4\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2592-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^5\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,58320+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^6\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,603936-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^7\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2230416+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^8\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,536544+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^9\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6518880-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{10}\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5251392-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{11}\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5590944+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{12}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6456672+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{13}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,838512-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{14}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2340576+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{15}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,522288-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{16}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,17192\right)\,131072}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\left(a+b\right)}^3\,\left(a^2-2\,a\,b+b^2\right)}\right)\,\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\right)-8\,a^3\,b\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(\sum _{k=1}^3\ln\left(\frac{\left(980\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+336\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1764\,a^2\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+392\,a^3\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,640+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32-1176\,a^2\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-784\,a^3\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,952+2352\,a\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1944-56\,a\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,304+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,39032+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,30296+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7420-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,168+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14240+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4064+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^2\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,27888-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^3\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55576-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^4\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,32174-\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^5\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3318+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a^6\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,252+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24840+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,384+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^2\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,107772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^3\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,156216+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^4\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,55448+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^5\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,21772+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^6\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,35364+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^7\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3588-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^8\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3051+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^2\,a^9\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,18+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^2\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,73528+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^3\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,222176-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^4\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,101192-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^5\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,567064-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^6\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,125428+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^7\,b^7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,278436+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^8\,b^6\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,66894-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^9\,b^5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,26928-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{10}\,b^4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3042+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^3\,a^{11}\,b^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,648+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^2\,b^{13}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,19104+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^3\,b^{12}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,128832-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^4\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,191988-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^5\,b^{10}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,899856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^6\,b^9\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,183204+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^7\,b^8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1173036-{\mathrm{root}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,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^4\,a^{13}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^2\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1728+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^3\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,54432-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^4\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,422856+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^5\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,625176+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^6\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6126696-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^7\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2480004-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^8\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,15505344-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^9\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,346572+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^{10}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,9474120+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^{11}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,24660-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^{12}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1571688+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^{13}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,232740+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^5\,a^{14}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^3\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3456-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^4\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1728-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^5\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,319896+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^6\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,3246912-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^7\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5322240-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^8\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,9560160+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^9\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,16055280+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{10}\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,8485344-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{11}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,14873760-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{12}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,1269216+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{13}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,4449384-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{14}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,901152+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^6\,a^{15}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^4\,b^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2592-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^5\,b^{13}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,58320+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^6\,b^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,603936-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^7\,b^{11}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2230416+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^8\,b^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,536544+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^9\,b^9\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6518880-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{10}\,b^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5251392-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{11}\,b^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,5590944+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{12}\,b^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,6456672+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{13}\,b^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,838512-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{14}\,b^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,2340576+{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{15}\,b^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,522288-{\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)}^7\,a^{16}\,b^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,7776+\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\,a\,b^{11}\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,17192\right)\,131072}{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\left(a+b\right)}^3\,\left(a^2-2\,a\,b+b^2\right)}\right)\,\mathrm{root}\left(54\,a^5\,b^2\,z^3-27\,a^3\,b^4\,z^3-27\,a^7\,z^3-54\,a^4\,b^2\,z^2-27\,a^2\,b^4\,z^2-9\,a\,b^4\,z-b^4,z,k\right)\right)}{8\,a\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\left(a+b\right)}^2\,\left(a-b\right)}","Not used",1,"-(a^3*cos(e/2 + (f*x)/2)^4 + a^3*sin(e/2 + (f*x)/2)^4 - a*b^2*cos(e/2 + (f*x)/2)^4 + a*b^2*sin(e/2 + (f*x)/2)^4 + 2*a^2*b*sin(e/2 + (f*x)/2)^4 - 8*a^3*log((cos(e/2 + (f*x)/2)^2 + sin(e/2 + (f*x)/2)^2)/cos(e/2 + (f*x)/2)^2)*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2 + 8*b^3*log((cos(e/2 + (f*x)/2)^2 + sin(e/2 + (f*x)/2)^2)/cos(e/2 + (f*x)/2)^2)*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2 + 8*a^3*cos(e/2 + (f*x)/2)^2*log(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))*sin(e/2 + (f*x)/2)^2 - 8*a^4*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2*symsum(log((131072*(980*b^11*cos(e/2 + (f*x)/2)^2 + 336*b^11*sin(e/2 + (f*x)/2)^2 + 1764*a^2*b^9*cos(e/2 + (f*x)/2)^2 + 392*a^3*b^8*cos(e/2 + (f*x)/2)^2 + 640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*sin(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*sin(e/2 + (f*x)/2)^2 - 1176*a^2*b^9*sin(e/2 + (f*x)/2)^2 - 784*a^3*b^8*sin(e/2 + (f*x)/2)^2 + 952*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*cos(e/2 + (f*x)/2)^2 + 2352*a*b^10*cos(e/2 + (f*x)/2)^2 + 1944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*sin(e/2 + (f*x)/2)^2 - 56*a*b^10*sin(e/2 + (f*x)/2)^2 + 304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*cos(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*cos(e/2 + (f*x)/2)^2 + 1032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*sin(e/2 + (f*x)/2)^2 + 39032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*cos(e/2 + (f*x)/2)^2 + 30296*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*cos(e/2 + (f*x)/2)^2 + 7420*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*cos(e/2 + (f*x)/2)^2 - 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*cos(e/2 + (f*x)/2)^2 - 168*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*cos(e/2 + (f*x)/2)^2 + 14240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*cos(e/2 + (f*x)/2)^2 + 4064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*cos(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*cos(e/2 + (f*x)/2)^2 - 27888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*sin(e/2 + (f*x)/2)^2 - 55576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*sin(e/2 + (f*x)/2)^2 - 32174*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*sin(e/2 + (f*x)/2)^2 - 3318*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*sin(e/2 + (f*x)/2)^2 + 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*sin(e/2 + (f*x)/2)^2 + 24840*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*sin(e/2 + (f*x)/2)^2 + 7856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*sin(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*sin(e/2 + (f*x)/2)^2 + 107772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*cos(e/2 + (f*x)/2)^2 + 156216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*cos(e/2 + (f*x)/2)^2 + 55448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*cos(e/2 + (f*x)/2)^2 + 21772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*cos(e/2 + (f*x)/2)^2 + 35364*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*cos(e/2 + (f*x)/2)^2 + 3588*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*cos(e/2 + (f*x)/2)^2 - 3051*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*cos(e/2 + (f*x)/2)^2 + 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*cos(e/2 + (f*x)/2)^2 + 73528*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*cos(e/2 + (f*x)/2)^2 + 222176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*cos(e/2 + (f*x)/2)^2 - 101192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*cos(e/2 + (f*x)/2)^2 - 567064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*cos(e/2 + (f*x)/2)^2 - 125428*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*cos(e/2 + (f*x)/2)^2 + 278436*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*cos(e/2 + (f*x)/2)^2 + 66894*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*cos(e/2 + (f*x)/2)^2 - 26928*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*cos(e/2 + (f*x)/2)^2 - 3042*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*cos(e/2 + (f*x)/2)^2 + 648*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*cos(e/2 + (f*x)/2)^2 + 19104*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*cos(e/2 + (f*x)/2)^2 + 128832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*cos(e/2 + (f*x)/2)^2 - 191988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*cos(e/2 + (f*x)/2)^2 - 899856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*cos(e/2 + (f*x)/2)^2 + 183204*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*cos(e/2 + (f*x)/2)^2 + 1173036*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*cos(e/2 + (f*x)/2)^2 - 519612*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*cos(e/2 + (f*x)/2)^2 - 666384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*cos(e/2 + (f*x)/2)^2 + 368028*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*cos(e/2 + (f*x)/2)^2 + 46260*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*cos(e/2 + (f*x)/2)^2 - 46332*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*cos(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*cos(e/2 + (f*x)/2)^2 + 34560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*cos(e/2 + (f*x)/2)^2 - 51480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*cos(e/2 + (f*x)/2)^2 - 677880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*cos(e/2 + (f*x)/2)^2 + 773640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*cos(e/2 + (f*x)/2)^2 + 1207440*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*cos(e/2 + (f*x)/2)^2 - 1363176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*cos(e/2 + (f*x)/2)^2 - 82728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*cos(e/2 + (f*x)/2)^2 + 738792*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*cos(e/2 + (f*x)/2)^2 - 412704*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*cos(e/2 + (f*x)/2)^2 + 11304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*cos(e/2 + (f*x)/2)^2 + 36288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*cos(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*cos(e/2 + (f*x)/2)^2 + 7344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*cos(e/2 + (f*x)/2)^2 - 225504*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*cos(e/2 + (f*x)/2)^2 + 450468*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*cos(e/2 + (f*x)/2)^2 + 360072*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*cos(e/2 + (f*x)/2)^2 - 879984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*cos(e/2 + (f*x)/2)^2 - 183600*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*cos(e/2 + (f*x)/2)^2 + 431352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*cos(e/2 + (f*x)/2)^2 + 165888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*cos(e/2 + (f*x)/2)^2 - 61344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*cos(e/2 + (f*x)/2)^2 - 114480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*cos(e/2 + (f*x)/2)^2 + 52164*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*cos(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*cos(e/2 + (f*x)/2)^2 - 28512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*cos(e/2 + (f*x)/2)^2 + 75816*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*cos(e/2 + (f*x)/2)^2 + 71280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*cos(e/2 + (f*x)/2)^2 - 323352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*cos(e/2 + (f*x)/2)^2 + 483408*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*cos(e/2 + (f*x)/2)^2 - 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*cos(e/2 + (f*x)/2)^2 - 307152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*cos(e/2 + (f*x)/2)^2 + 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*cos(e/2 + (f*x)/2)^2 + 62856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*cos(e/2 + (f*x)/2)^2 - 42768*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*cos(e/2 + (f*x)/2)^2 - 43760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*sin(e/2 + (f*x)/2)^2 - 401720*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*sin(e/2 + (f*x)/2)^2 - 563860*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*sin(e/2 + (f*x)/2)^2 - 249110*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*sin(e/2 + (f*x)/2)^2 - 59988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*sin(e/2 + (f*x)/2)^2 - 35586*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*sin(e/2 + (f*x)/2)^2 + 5751*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*sin(e/2 + (f*x)/2)^2 - 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*sin(e/2 + (f*x)/2)^2 + 95632*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*sin(e/2 + (f*x)/2)^2 - 439696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*sin(e/2 + (f*x)/2)^2 - 1471448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*sin(e/2 + (f*x)/2)^2 - 606964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*sin(e/2 + (f*x)/2)^2 + 521558*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*sin(e/2 + (f*x)/2)^2 - 415182*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*sin(e/2 + (f*x)/2)^2 - 598284*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*sin(e/2 + (f*x)/2)^2 + 24606*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*sin(e/2 + (f*x)/2)^2 + 20592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*sin(e/2 + (f*x)/2)^2 - 756*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*sin(e/2 + (f*x)/2)^2 + 33984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*sin(e/2 + (f*x)/2)^2 + 32784*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*sin(e/2 + (f*x)/2)^2 - 1159584*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*sin(e/2 + (f*x)/2)^2 + 567024*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*sin(e/2 + (f*x)/2)^2 + 6779964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*sin(e/2 + (f*x)/2)^2 + 4475790*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*sin(e/2 + (f*x)/2)^2 - 2069340*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*sin(e/2 + (f*x)/2)^2 - 421956*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*sin(e/2 + (f*x)/2)^2 + 382248*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*sin(e/2 + (f*x)/2)^2 - 554778*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*sin(e/2 + (f*x)/2)^2 + 146880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*sin(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*sin(e/2 + (f*x)/2)^2 + 54432*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*sin(e/2 + (f*x)/2)^2 - 422856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*sin(e/2 + (f*x)/2)^2 + 625176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*sin(e/2 + (f*x)/2)^2 + 6126696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*sin(e/2 + (f*x)/2)^2 - 2480004*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*sin(e/2 + (f*x)/2)^2 - 15505344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*sin(e/2 + (f*x)/2)^2 - 346572*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*sin(e/2 + (f*x)/2)^2 + 9474120*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*sin(e/2 + (f*x)/2)^2 + 24660*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*sin(e/2 + (f*x)/2)^2 - 1571688*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*sin(e/2 + (f*x)/2)^2 + 232740*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*sin(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*sin(e/2 + (f*x)/2)^2 - 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*sin(e/2 + (f*x)/2)^2 - 319896*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*sin(e/2 + (f*x)/2)^2 + 3246912*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*sin(e/2 + (f*x)/2)^2 - 5322240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*sin(e/2 + (f*x)/2)^2 - 9560160*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*sin(e/2 + (f*x)/2)^2 + 16055280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*sin(e/2 + (f*x)/2)^2 + 8485344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*sin(e/2 + (f*x)/2)^2 - 14873760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*sin(e/2 + (f*x)/2)^2 - 1269216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*sin(e/2 + (f*x)/2)^2 + 4449384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*sin(e/2 + (f*x)/2)^2 - 901152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*sin(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*sin(e/2 + (f*x)/2)^2 - 58320*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*sin(e/2 + (f*x)/2)^2 + 603936*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*sin(e/2 + (f*x)/2)^2 - 2230416*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*sin(e/2 + (f*x)/2)^2 + 536544*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*sin(e/2 + (f*x)/2)^2 + 6518880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^9*b^9*sin(e/2 + (f*x)/2)^2 - 5251392*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*sin(e/2 + (f*x)/2)^2 - 5590944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*sin(e/2 + (f*x)/2)^2 + 6456672*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*sin(e/2 + (f*x)/2)^2 + 838512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*sin(e/2 + (f*x)/2)^2 - 2340576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*sin(e/2 + (f*x)/2)^2 + 522288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*sin(e/2 + (f*x)/2)^2 + 17192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*cos(e/2 + (f*x)/2)^2))/(cos(e/2 + (f*x)/2)^2*(a + b)^3*(a^2 - 2*a*b + b^2)))*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k), k, 1, 3) + 8*a^2*b^2*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2*symsum(log((131072*(980*b^11*cos(e/2 + (f*x)/2)^2 + 336*b^11*sin(e/2 + (f*x)/2)^2 + 1764*a^2*b^9*cos(e/2 + (f*x)/2)^2 + 392*a^3*b^8*cos(e/2 + (f*x)/2)^2 + 640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*sin(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*sin(e/2 + (f*x)/2)^2 - 1176*a^2*b^9*sin(e/2 + (f*x)/2)^2 - 784*a^3*b^8*sin(e/2 + (f*x)/2)^2 + 952*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*cos(e/2 + (f*x)/2)^2 + 2352*a*b^10*cos(e/2 + (f*x)/2)^2 + 1944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*sin(e/2 + (f*x)/2)^2 - 56*a*b^10*sin(e/2 + (f*x)/2)^2 + 304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*cos(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*cos(e/2 + (f*x)/2)^2 + 1032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*sin(e/2 + (f*x)/2)^2 + 39032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*cos(e/2 + (f*x)/2)^2 + 30296*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*cos(e/2 + (f*x)/2)^2 + 7420*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*cos(e/2 + (f*x)/2)^2 - 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*cos(e/2 + (f*x)/2)^2 - 168*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*cos(e/2 + (f*x)/2)^2 + 14240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*cos(e/2 + (f*x)/2)^2 + 4064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*cos(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*cos(e/2 + (f*x)/2)^2 - 27888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*sin(e/2 + (f*x)/2)^2 - 55576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*sin(e/2 + (f*x)/2)^2 - 32174*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*sin(e/2 + (f*x)/2)^2 - 3318*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*sin(e/2 + (f*x)/2)^2 + 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*sin(e/2 + (f*x)/2)^2 + 24840*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*sin(e/2 + (f*x)/2)^2 + 7856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*sin(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*sin(e/2 + (f*x)/2)^2 + 107772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*cos(e/2 + (f*x)/2)^2 + 156216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*cos(e/2 + (f*x)/2)^2 + 55448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*cos(e/2 + (f*x)/2)^2 + 21772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*cos(e/2 + (f*x)/2)^2 + 35364*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*cos(e/2 + (f*x)/2)^2 + 3588*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*cos(e/2 + (f*x)/2)^2 - 3051*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*cos(e/2 + (f*x)/2)^2 + 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*cos(e/2 + (f*x)/2)^2 + 73528*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*cos(e/2 + (f*x)/2)^2 + 222176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*cos(e/2 + (f*x)/2)^2 - 101192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*cos(e/2 + (f*x)/2)^2 - 567064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*cos(e/2 + (f*x)/2)^2 - 125428*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*cos(e/2 + (f*x)/2)^2 + 278436*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*cos(e/2 + (f*x)/2)^2 + 66894*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*cos(e/2 + (f*x)/2)^2 - 26928*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*cos(e/2 + (f*x)/2)^2 - 3042*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*cos(e/2 + (f*x)/2)^2 + 648*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*cos(e/2 + (f*x)/2)^2 + 19104*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*cos(e/2 + (f*x)/2)^2 + 128832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*cos(e/2 + (f*x)/2)^2 - 191988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*cos(e/2 + (f*x)/2)^2 - 899856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*cos(e/2 + (f*x)/2)^2 + 183204*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*cos(e/2 + (f*x)/2)^2 + 1173036*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*cos(e/2 + (f*x)/2)^2 - 519612*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*cos(e/2 + (f*x)/2)^2 - 666384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*cos(e/2 + (f*x)/2)^2 + 368028*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*cos(e/2 + (f*x)/2)^2 + 46260*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*cos(e/2 + (f*x)/2)^2 - 46332*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*cos(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*cos(e/2 + (f*x)/2)^2 + 34560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*cos(e/2 + (f*x)/2)^2 - 51480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*cos(e/2 + (f*x)/2)^2 - 677880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*cos(e/2 + (f*x)/2)^2 + 773640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*cos(e/2 + (f*x)/2)^2 + 1207440*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*cos(e/2 + (f*x)/2)^2 - 1363176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*cos(e/2 + (f*x)/2)^2 - 82728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*cos(e/2 + (f*x)/2)^2 + 738792*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*cos(e/2 + (f*x)/2)^2 - 412704*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*cos(e/2 + (f*x)/2)^2 + 11304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*cos(e/2 + (f*x)/2)^2 + 36288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*cos(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*cos(e/2 + (f*x)/2)^2 + 7344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*cos(e/2 + (f*x)/2)^2 - 225504*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*cos(e/2 + (f*x)/2)^2 + 450468*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*cos(e/2 + (f*x)/2)^2 + 360072*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*cos(e/2 + (f*x)/2)^2 - 879984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*cos(e/2 + (f*x)/2)^2 - 183600*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*cos(e/2 + (f*x)/2)^2 + 431352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*cos(e/2 + (f*x)/2)^2 + 165888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*cos(e/2 + (f*x)/2)^2 - 61344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*cos(e/2 + (f*x)/2)^2 - 114480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*cos(e/2 + (f*x)/2)^2 + 52164*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*cos(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*cos(e/2 + (f*x)/2)^2 - 28512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*cos(e/2 + (f*x)/2)^2 + 75816*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*cos(e/2 + (f*x)/2)^2 + 71280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*cos(e/2 + (f*x)/2)^2 - 323352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*cos(e/2 + (f*x)/2)^2 + 483408*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*cos(e/2 + (f*x)/2)^2 - 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*cos(e/2 + (f*x)/2)^2 - 307152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*cos(e/2 + (f*x)/2)^2 + 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*cos(e/2 + (f*x)/2)^2 + 62856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*cos(e/2 + (f*x)/2)^2 - 42768*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*cos(e/2 + (f*x)/2)^2 - 43760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*sin(e/2 + (f*x)/2)^2 - 401720*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*sin(e/2 + (f*x)/2)^2 - 563860*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*sin(e/2 + (f*x)/2)^2 - 249110*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*sin(e/2 + (f*x)/2)^2 - 59988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*sin(e/2 + (f*x)/2)^2 - 35586*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*sin(e/2 + (f*x)/2)^2 + 5751*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*sin(e/2 + (f*x)/2)^2 - 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*sin(e/2 + (f*x)/2)^2 + 95632*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*sin(e/2 + (f*x)/2)^2 - 439696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*sin(e/2 + (f*x)/2)^2 - 1471448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*sin(e/2 + (f*x)/2)^2 - 606964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*sin(e/2 + (f*x)/2)^2 + 521558*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*sin(e/2 + (f*x)/2)^2 - 415182*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*sin(e/2 + (f*x)/2)^2 - 598284*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*sin(e/2 + (f*x)/2)^2 + 24606*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*sin(e/2 + (f*x)/2)^2 + 20592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*sin(e/2 + (f*x)/2)^2 - 756*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*sin(e/2 + (f*x)/2)^2 + 33984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*sin(e/2 + (f*x)/2)^2 + 32784*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*sin(e/2 + (f*x)/2)^2 - 1159584*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*sin(e/2 + (f*x)/2)^2 + 567024*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*sin(e/2 + (f*x)/2)^2 + 6779964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*sin(e/2 + (f*x)/2)^2 + 4475790*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*sin(e/2 + (f*x)/2)^2 - 2069340*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*sin(e/2 + (f*x)/2)^2 - 421956*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*sin(e/2 + (f*x)/2)^2 + 382248*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*sin(e/2 + (f*x)/2)^2 - 554778*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*sin(e/2 + (f*x)/2)^2 + 146880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*sin(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*sin(e/2 + (f*x)/2)^2 + 54432*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*sin(e/2 + (f*x)/2)^2 - 422856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*sin(e/2 + (f*x)/2)^2 + 625176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*sin(e/2 + (f*x)/2)^2 + 6126696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*sin(e/2 + (f*x)/2)^2 - 2480004*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*sin(e/2 + (f*x)/2)^2 - 15505344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*sin(e/2 + (f*x)/2)^2 - 346572*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*sin(e/2 + (f*x)/2)^2 + 9474120*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*sin(e/2 + (f*x)/2)^2 + 24660*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*sin(e/2 + (f*x)/2)^2 - 1571688*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*sin(e/2 + (f*x)/2)^2 + 232740*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*sin(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*sin(e/2 + (f*x)/2)^2 - 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*sin(e/2 + (f*x)/2)^2 - 319896*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*sin(e/2 + (f*x)/2)^2 + 3246912*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*sin(e/2 + (f*x)/2)^2 - 5322240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*sin(e/2 + (f*x)/2)^2 - 9560160*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*sin(e/2 + (f*x)/2)^2 + 16055280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*sin(e/2 + (f*x)/2)^2 + 8485344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*sin(e/2 + (f*x)/2)^2 - 14873760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*sin(e/2 + (f*x)/2)^2 - 1269216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*sin(e/2 + (f*x)/2)^2 + 4449384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*sin(e/2 + (f*x)/2)^2 - 901152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*sin(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*sin(e/2 + (f*x)/2)^2 - 58320*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*sin(e/2 + (f*x)/2)^2 + 603936*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*sin(e/2 + (f*x)/2)^2 - 2230416*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*sin(e/2 + (f*x)/2)^2 + 536544*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*sin(e/2 + (f*x)/2)^2 + 6518880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^9*b^9*sin(e/2 + (f*x)/2)^2 - 5251392*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*sin(e/2 + (f*x)/2)^2 - 5590944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*sin(e/2 + (f*x)/2)^2 + 6456672*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*sin(e/2 + (f*x)/2)^2 + 838512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*sin(e/2 + (f*x)/2)^2 - 2340576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*sin(e/2 + (f*x)/2)^2 + 522288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*sin(e/2 + (f*x)/2)^2 + 17192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*cos(e/2 + (f*x)/2)^2))/(cos(e/2 + (f*x)/2)^2*(a + b)^3*(a^2 - 2*a*b + b^2)))*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k), k, 1, 3) + 8*a*b^2*log((cos(e/2 + (f*x)/2)^2 + sin(e/2 + (f*x)/2)^2)/cos(e/2 + (f*x)/2)^2)*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2 - 8*a^2*b*log((cos(e/2 + (f*x)/2)^2 + sin(e/2 + (f*x)/2)^2)/cos(e/2 + (f*x)/2)^2)*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2 - 20*a*b^2*cos(e/2 + (f*x)/2)^2*log(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))*sin(e/2 + (f*x)/2)^2 + 12*a^2*b*cos(e/2 + (f*x)/2)^2*log(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))*sin(e/2 + (f*x)/2)^2 + 8*a*b^3*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2*symsum(log((131072*(980*b^11*cos(e/2 + (f*x)/2)^2 + 336*b^11*sin(e/2 + (f*x)/2)^2 + 1764*a^2*b^9*cos(e/2 + (f*x)/2)^2 + 392*a^3*b^8*cos(e/2 + (f*x)/2)^2 + 640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*sin(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*sin(e/2 + (f*x)/2)^2 - 1176*a^2*b^9*sin(e/2 + (f*x)/2)^2 - 784*a^3*b^8*sin(e/2 + (f*x)/2)^2 + 952*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*cos(e/2 + (f*x)/2)^2 + 2352*a*b^10*cos(e/2 + (f*x)/2)^2 + 1944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*sin(e/2 + (f*x)/2)^2 - 56*a*b^10*sin(e/2 + (f*x)/2)^2 + 304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*cos(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*cos(e/2 + (f*x)/2)^2 + 1032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*sin(e/2 + (f*x)/2)^2 + 39032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*cos(e/2 + (f*x)/2)^2 + 30296*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*cos(e/2 + (f*x)/2)^2 + 7420*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*cos(e/2 + (f*x)/2)^2 - 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*cos(e/2 + (f*x)/2)^2 - 168*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*cos(e/2 + (f*x)/2)^2 + 14240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*cos(e/2 + (f*x)/2)^2 + 4064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*cos(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*cos(e/2 + (f*x)/2)^2 - 27888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*sin(e/2 + (f*x)/2)^2 - 55576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*sin(e/2 + (f*x)/2)^2 - 32174*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*sin(e/2 + (f*x)/2)^2 - 3318*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*sin(e/2 + (f*x)/2)^2 + 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*sin(e/2 + (f*x)/2)^2 + 24840*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*sin(e/2 + (f*x)/2)^2 + 7856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*sin(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*sin(e/2 + (f*x)/2)^2 + 107772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*cos(e/2 + (f*x)/2)^2 + 156216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*cos(e/2 + (f*x)/2)^2 + 55448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*cos(e/2 + (f*x)/2)^2 + 21772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*cos(e/2 + (f*x)/2)^2 + 35364*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*cos(e/2 + (f*x)/2)^2 + 3588*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*cos(e/2 + (f*x)/2)^2 - 3051*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*cos(e/2 + (f*x)/2)^2 + 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*cos(e/2 + (f*x)/2)^2 + 73528*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*cos(e/2 + (f*x)/2)^2 + 222176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*cos(e/2 + (f*x)/2)^2 - 101192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*cos(e/2 + (f*x)/2)^2 - 567064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*cos(e/2 + (f*x)/2)^2 - 125428*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*cos(e/2 + (f*x)/2)^2 + 278436*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*cos(e/2 + (f*x)/2)^2 + 66894*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*cos(e/2 + (f*x)/2)^2 - 26928*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*cos(e/2 + (f*x)/2)^2 - 3042*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*cos(e/2 + (f*x)/2)^2 + 648*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*cos(e/2 + (f*x)/2)^2 + 19104*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*cos(e/2 + (f*x)/2)^2 + 128832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*cos(e/2 + (f*x)/2)^2 - 191988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*cos(e/2 + (f*x)/2)^2 - 899856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*cos(e/2 + (f*x)/2)^2 + 183204*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*cos(e/2 + (f*x)/2)^2 + 1173036*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*cos(e/2 + (f*x)/2)^2 - 519612*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*cos(e/2 + (f*x)/2)^2 - 666384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*cos(e/2 + (f*x)/2)^2 + 368028*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*cos(e/2 + (f*x)/2)^2 + 46260*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*cos(e/2 + (f*x)/2)^2 - 46332*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*cos(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*cos(e/2 + (f*x)/2)^2 + 34560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*cos(e/2 + (f*x)/2)^2 - 51480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*cos(e/2 + (f*x)/2)^2 - 677880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*cos(e/2 + (f*x)/2)^2 + 773640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*cos(e/2 + (f*x)/2)^2 + 1207440*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*cos(e/2 + (f*x)/2)^2 - 1363176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*cos(e/2 + (f*x)/2)^2 - 82728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*cos(e/2 + (f*x)/2)^2 + 738792*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*cos(e/2 + (f*x)/2)^2 - 412704*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*cos(e/2 + (f*x)/2)^2 + 11304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*cos(e/2 + (f*x)/2)^2 + 36288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*cos(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*cos(e/2 + (f*x)/2)^2 + 7344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*cos(e/2 + (f*x)/2)^2 - 225504*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*cos(e/2 + (f*x)/2)^2 + 450468*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*cos(e/2 + (f*x)/2)^2 + 360072*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*cos(e/2 + (f*x)/2)^2 - 879984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*cos(e/2 + (f*x)/2)^2 - 183600*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*cos(e/2 + (f*x)/2)^2 + 431352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*cos(e/2 + (f*x)/2)^2 + 165888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*cos(e/2 + (f*x)/2)^2 - 61344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*cos(e/2 + (f*x)/2)^2 - 114480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*cos(e/2 + (f*x)/2)^2 + 52164*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*cos(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*cos(e/2 + (f*x)/2)^2 - 28512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*cos(e/2 + (f*x)/2)^2 + 75816*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*cos(e/2 + (f*x)/2)^2 + 71280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*cos(e/2 + (f*x)/2)^2 - 323352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*cos(e/2 + (f*x)/2)^2 + 483408*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*cos(e/2 + (f*x)/2)^2 - 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*cos(e/2 + (f*x)/2)^2 - 307152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*cos(e/2 + (f*x)/2)^2 + 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*cos(e/2 + (f*x)/2)^2 + 62856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*cos(e/2 + (f*x)/2)^2 - 42768*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*cos(e/2 + (f*x)/2)^2 - 43760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*sin(e/2 + (f*x)/2)^2 - 401720*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*sin(e/2 + (f*x)/2)^2 - 563860*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*sin(e/2 + (f*x)/2)^2 - 249110*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*sin(e/2 + (f*x)/2)^2 - 59988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*sin(e/2 + (f*x)/2)^2 - 35586*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*sin(e/2 + (f*x)/2)^2 + 5751*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*sin(e/2 + (f*x)/2)^2 - 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*sin(e/2 + (f*x)/2)^2 + 95632*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*sin(e/2 + (f*x)/2)^2 - 439696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*sin(e/2 + (f*x)/2)^2 - 1471448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*sin(e/2 + (f*x)/2)^2 - 606964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*sin(e/2 + (f*x)/2)^2 + 521558*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*sin(e/2 + (f*x)/2)^2 - 415182*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*sin(e/2 + (f*x)/2)^2 - 598284*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*sin(e/2 + (f*x)/2)^2 + 24606*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*sin(e/2 + (f*x)/2)^2 + 20592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*sin(e/2 + (f*x)/2)^2 - 756*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*sin(e/2 + (f*x)/2)^2 + 33984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*sin(e/2 + (f*x)/2)^2 + 32784*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*sin(e/2 + (f*x)/2)^2 - 1159584*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*sin(e/2 + (f*x)/2)^2 + 567024*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*sin(e/2 + (f*x)/2)^2 + 6779964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*sin(e/2 + (f*x)/2)^2 + 4475790*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*sin(e/2 + (f*x)/2)^2 - 2069340*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*sin(e/2 + (f*x)/2)^2 - 421956*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*sin(e/2 + (f*x)/2)^2 + 382248*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*sin(e/2 + (f*x)/2)^2 - 554778*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*sin(e/2 + (f*x)/2)^2 + 146880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*sin(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*sin(e/2 + (f*x)/2)^2 + 54432*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*sin(e/2 + (f*x)/2)^2 - 422856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*sin(e/2 + (f*x)/2)^2 + 625176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*sin(e/2 + (f*x)/2)^2 + 6126696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*sin(e/2 + (f*x)/2)^2 - 2480004*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*sin(e/2 + (f*x)/2)^2 - 15505344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*sin(e/2 + (f*x)/2)^2 - 346572*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*sin(e/2 + (f*x)/2)^2 + 9474120*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*sin(e/2 + (f*x)/2)^2 + 24660*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*sin(e/2 + (f*x)/2)^2 - 1571688*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*sin(e/2 + (f*x)/2)^2 + 232740*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*sin(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*sin(e/2 + (f*x)/2)^2 - 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*sin(e/2 + (f*x)/2)^2 - 319896*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*sin(e/2 + (f*x)/2)^2 + 3246912*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*sin(e/2 + (f*x)/2)^2 - 5322240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*sin(e/2 + (f*x)/2)^2 - 9560160*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*sin(e/2 + (f*x)/2)^2 + 16055280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*sin(e/2 + (f*x)/2)^2 + 8485344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*sin(e/2 + (f*x)/2)^2 - 14873760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*sin(e/2 + (f*x)/2)^2 - 1269216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*sin(e/2 + (f*x)/2)^2 + 4449384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*sin(e/2 + (f*x)/2)^2 - 901152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*sin(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*sin(e/2 + (f*x)/2)^2 - 58320*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*sin(e/2 + (f*x)/2)^2 + 603936*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*sin(e/2 + (f*x)/2)^2 - 2230416*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*sin(e/2 + (f*x)/2)^2 + 536544*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*sin(e/2 + (f*x)/2)^2 + 6518880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^9*b^9*sin(e/2 + (f*x)/2)^2 - 5251392*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*sin(e/2 + (f*x)/2)^2 - 5590944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*sin(e/2 + (f*x)/2)^2 + 6456672*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*sin(e/2 + (f*x)/2)^2 + 838512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*sin(e/2 + (f*x)/2)^2 - 2340576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*sin(e/2 + (f*x)/2)^2 + 522288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*sin(e/2 + (f*x)/2)^2 + 17192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*cos(e/2 + (f*x)/2)^2))/(cos(e/2 + (f*x)/2)^2*(a + b)^3*(a^2 - 2*a*b + b^2)))*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k), k, 1, 3) - 8*a^3*b*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2*symsum(log((131072*(980*b^11*cos(e/2 + (f*x)/2)^2 + 336*b^11*sin(e/2 + (f*x)/2)^2 + 1764*a^2*b^9*cos(e/2 + (f*x)/2)^2 + 392*a^3*b^8*cos(e/2 + (f*x)/2)^2 + 640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*sin(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*sin(e/2 + (f*x)/2)^2 - 1176*a^2*b^9*sin(e/2 + (f*x)/2)^2 - 784*a^3*b^8*sin(e/2 + (f*x)/2)^2 + 952*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*cos(e/2 + (f*x)/2)^2 + 2352*a*b^10*cos(e/2 + (f*x)/2)^2 + 1944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*b^12*sin(e/2 + (f*x)/2)^2 - 56*a*b^10*sin(e/2 + (f*x)/2)^2 + 304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*b^13*cos(e/2 + (f*x)/2)^2 + 32*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*b^14*cos(e/2 + (f*x)/2)^2 + 1032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*sin(e/2 + (f*x)/2)^2 + 39032*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*cos(e/2 + (f*x)/2)^2 + 30296*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*cos(e/2 + (f*x)/2)^2 + 7420*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*cos(e/2 + (f*x)/2)^2 - 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*cos(e/2 + (f*x)/2)^2 - 168*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*cos(e/2 + (f*x)/2)^2 + 14240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*cos(e/2 + (f*x)/2)^2 + 4064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*cos(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*cos(e/2 + (f*x)/2)^2 - 27888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^2*b^10*sin(e/2 + (f*x)/2)^2 - 55576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^3*b^9*sin(e/2 + (f*x)/2)^2 - 32174*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^4*b^8*sin(e/2 + (f*x)/2)^2 - 3318*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^5*b^7*sin(e/2 + (f*x)/2)^2 + 252*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a^6*b^6*sin(e/2 + (f*x)/2)^2 + 24840*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a*b^12*sin(e/2 + (f*x)/2)^2 + 7856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a*b^13*sin(e/2 + (f*x)/2)^2 + 384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a*b^14*sin(e/2 + (f*x)/2)^2 + 107772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*cos(e/2 + (f*x)/2)^2 + 156216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*cos(e/2 + (f*x)/2)^2 + 55448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*cos(e/2 + (f*x)/2)^2 + 21772*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*cos(e/2 + (f*x)/2)^2 + 35364*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*cos(e/2 + (f*x)/2)^2 + 3588*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*cos(e/2 + (f*x)/2)^2 - 3051*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*cos(e/2 + (f*x)/2)^2 + 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*cos(e/2 + (f*x)/2)^2 + 73528*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*cos(e/2 + (f*x)/2)^2 + 222176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*cos(e/2 + (f*x)/2)^2 - 101192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*cos(e/2 + (f*x)/2)^2 - 567064*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*cos(e/2 + (f*x)/2)^2 - 125428*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*cos(e/2 + (f*x)/2)^2 + 278436*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*cos(e/2 + (f*x)/2)^2 + 66894*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*cos(e/2 + (f*x)/2)^2 - 26928*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*cos(e/2 + (f*x)/2)^2 - 3042*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*cos(e/2 + (f*x)/2)^2 + 648*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*cos(e/2 + (f*x)/2)^2 + 19104*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*cos(e/2 + (f*x)/2)^2 + 128832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*cos(e/2 + (f*x)/2)^2 - 191988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*cos(e/2 + (f*x)/2)^2 - 899856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*cos(e/2 + (f*x)/2)^2 + 183204*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*cos(e/2 + (f*x)/2)^2 + 1173036*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*cos(e/2 + (f*x)/2)^2 - 519612*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*cos(e/2 + (f*x)/2)^2 - 666384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*cos(e/2 + (f*x)/2)^2 + 368028*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*cos(e/2 + (f*x)/2)^2 + 46260*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*cos(e/2 + (f*x)/2)^2 - 46332*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*cos(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*cos(e/2 + (f*x)/2)^2 + 34560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*cos(e/2 + (f*x)/2)^2 - 51480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*cos(e/2 + (f*x)/2)^2 - 677880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*cos(e/2 + (f*x)/2)^2 + 773640*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*cos(e/2 + (f*x)/2)^2 + 1207440*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*cos(e/2 + (f*x)/2)^2 - 1363176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*cos(e/2 + (f*x)/2)^2 - 82728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*cos(e/2 + (f*x)/2)^2 + 738792*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*cos(e/2 + (f*x)/2)^2 - 412704*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*cos(e/2 + (f*x)/2)^2 + 11304*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*cos(e/2 + (f*x)/2)^2 + 36288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*cos(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*cos(e/2 + (f*x)/2)^2 + 7344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*cos(e/2 + (f*x)/2)^2 - 225504*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*cos(e/2 + (f*x)/2)^2 + 450468*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*cos(e/2 + (f*x)/2)^2 + 360072*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*cos(e/2 + (f*x)/2)^2 - 879984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*cos(e/2 + (f*x)/2)^2 - 183600*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*cos(e/2 + (f*x)/2)^2 + 431352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*cos(e/2 + (f*x)/2)^2 + 165888*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*cos(e/2 + (f*x)/2)^2 - 61344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*cos(e/2 + (f*x)/2)^2 - 114480*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*cos(e/2 + (f*x)/2)^2 + 52164*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*cos(e/2 + (f*x)/2)^2 - 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*cos(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*cos(e/2 + (f*x)/2)^2 - 28512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*cos(e/2 + (f*x)/2)^2 + 75816*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*cos(e/2 + (f*x)/2)^2 + 71280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*cos(e/2 + (f*x)/2)^2 - 323352*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*cos(e/2 + (f*x)/2)^2 + 483408*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*cos(e/2 + (f*x)/2)^2 - 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*cos(e/2 + (f*x)/2)^2 - 307152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*cos(e/2 + (f*x)/2)^2 + 142560*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*cos(e/2 + (f*x)/2)^2 + 62856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*cos(e/2 + (f*x)/2)^2 - 42768*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*cos(e/2 + (f*x)/2)^2 + 5832*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*cos(e/2 + (f*x)/2)^2 - 43760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^2*b^11*sin(e/2 + (f*x)/2)^2 - 401720*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^3*b^10*sin(e/2 + (f*x)/2)^2 - 563860*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^4*b^9*sin(e/2 + (f*x)/2)^2 - 249110*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^5*b^8*sin(e/2 + (f*x)/2)^2 - 59988*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^6*b^7*sin(e/2 + (f*x)/2)^2 - 35586*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^7*b^6*sin(e/2 + (f*x)/2)^2 + 5751*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^8*b^5*sin(e/2 + (f*x)/2)^2 - 18*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^2*a^9*b^4*sin(e/2 + (f*x)/2)^2 + 95632*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^2*b^12*sin(e/2 + (f*x)/2)^2 - 439696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^3*b^11*sin(e/2 + (f*x)/2)^2 - 1471448*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^4*b^10*sin(e/2 + (f*x)/2)^2 - 606964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^5*b^9*sin(e/2 + (f*x)/2)^2 + 521558*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^6*b^8*sin(e/2 + (f*x)/2)^2 - 415182*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^7*b^7*sin(e/2 + (f*x)/2)^2 - 598284*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^8*b^6*sin(e/2 + (f*x)/2)^2 + 24606*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^9*b^5*sin(e/2 + (f*x)/2)^2 + 20592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^10*b^4*sin(e/2 + (f*x)/2)^2 - 756*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^3*a^11*b^3*sin(e/2 + (f*x)/2)^2 + 33984*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^2*b^13*sin(e/2 + (f*x)/2)^2 + 32784*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^3*b^12*sin(e/2 + (f*x)/2)^2 - 1159584*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^4*b^11*sin(e/2 + (f*x)/2)^2 + 567024*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^5*b^10*sin(e/2 + (f*x)/2)^2 + 6779964*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^6*b^9*sin(e/2 + (f*x)/2)^2 + 4475790*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^7*b^8*sin(e/2 + (f*x)/2)^2 - 2069340*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^8*b^7*sin(e/2 + (f*x)/2)^2 - 421956*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^9*b^6*sin(e/2 + (f*x)/2)^2 + 382248*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^10*b^5*sin(e/2 + (f*x)/2)^2 - 554778*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^11*b^4*sin(e/2 + (f*x)/2)^2 + 146880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^12*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^4*a^13*b^2*sin(e/2 + (f*x)/2)^2 + 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^2*b^14*sin(e/2 + (f*x)/2)^2 + 54432*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^3*b^13*sin(e/2 + (f*x)/2)^2 - 422856*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^4*b^12*sin(e/2 + (f*x)/2)^2 + 625176*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^5*b^11*sin(e/2 + (f*x)/2)^2 + 6126696*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^6*b^10*sin(e/2 + (f*x)/2)^2 - 2480004*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^7*b^9*sin(e/2 + (f*x)/2)^2 - 15505344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^8*b^8*sin(e/2 + (f*x)/2)^2 - 346572*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^9*b^7*sin(e/2 + (f*x)/2)^2 + 9474120*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^10*b^6*sin(e/2 + (f*x)/2)^2 + 24660*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^11*b^5*sin(e/2 + (f*x)/2)^2 - 1571688*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^12*b^4*sin(e/2 + (f*x)/2)^2 + 232740*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^13*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^5*a^14*b^2*sin(e/2 + (f*x)/2)^2 + 3456*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^3*b^14*sin(e/2 + (f*x)/2)^2 - 1728*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^4*b^13*sin(e/2 + (f*x)/2)^2 - 319896*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^5*b^12*sin(e/2 + (f*x)/2)^2 + 3246912*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^6*b^11*sin(e/2 + (f*x)/2)^2 - 5322240*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^7*b^10*sin(e/2 + (f*x)/2)^2 - 9560160*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^8*b^9*sin(e/2 + (f*x)/2)^2 + 16055280*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^9*b^8*sin(e/2 + (f*x)/2)^2 + 8485344*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^10*b^7*sin(e/2 + (f*x)/2)^2 - 14873760*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^11*b^6*sin(e/2 + (f*x)/2)^2 - 1269216*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^12*b^5*sin(e/2 + (f*x)/2)^2 + 4449384*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^13*b^4*sin(e/2 + (f*x)/2)^2 - 901152*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^14*b^3*sin(e/2 + (f*x)/2)^2 + 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^6*a^15*b^2*sin(e/2 + (f*x)/2)^2 + 2592*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^4*b^14*sin(e/2 + (f*x)/2)^2 - 58320*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^5*b^13*sin(e/2 + (f*x)/2)^2 + 603936*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^6*b^12*sin(e/2 + (f*x)/2)^2 - 2230416*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^7*b^11*sin(e/2 + (f*x)/2)^2 + 536544*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^8*b^10*sin(e/2 + (f*x)/2)^2 + 6518880*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^9*b^9*sin(e/2 + (f*x)/2)^2 - 5251392*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^10*b^8*sin(e/2 + (f*x)/2)^2 - 5590944*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^11*b^7*sin(e/2 + (f*x)/2)^2 + 6456672*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^12*b^6*sin(e/2 + (f*x)/2)^2 + 838512*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^13*b^5*sin(e/2 + (f*x)/2)^2 - 2340576*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^14*b^4*sin(e/2 + (f*x)/2)^2 + 522288*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^15*b^3*sin(e/2 + (f*x)/2)^2 - 7776*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)^7*a^16*b^2*sin(e/2 + (f*x)/2)^2 + 17192*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k)*a*b^11*cos(e/2 + (f*x)/2)^2))/(cos(e/2 + (f*x)/2)^2*(a + b)^3*(a^2 - 2*a*b + b^2)))*root(54*a^5*b^2*z^3 - 27*a^3*b^4*z^3 - 27*a^7*z^3 - 54*a^4*b^2*z^2 - 27*a^2*b^4*z^2 - 9*a*b^4*z - b^4, z, k), k, 1, 3))/(8*a*f*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^2*(a + b)^2*(a - b))","B"
462,0,-1,30,0.000000,"\text{Not used}","int((d*tan(e + f*x))^m*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int((d*tan(e + f*x))^m*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
463,0,-1,226,0.000000,"\text{Not used}","int(tan(e + f*x)^5*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^5\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^5*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
464,0,-1,143,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",1,"int(tan(e + f*x)^3*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
465,0,-1,59,0.000000,"\text{Not used}","int(tan(e + f*x)*(a + b*(c/cos(e + f*x))^n)^p,x)","\int \mathrm{tan}\left(e+f\,x\right)\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",1,"int(tan(e + f*x)*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
466,0,-1,26,0.000000,"\text{Not used}","int(cot(e + f*x)*(a + b*(c/cos(e + f*x))^n)^p,x)","\int \mathrm{cot}\left(e+f\,x\right)\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int(cot(e + f*x)*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
467,0,-1,28,0.000000,"\text{Not used}","int(cot(e + f*x)^3*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^3\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int(cot(e + f*x)^3*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
468,0,-1,28,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int(tan(e + f*x)^2*(a + b*(c/cos(e + f*x))^n)^p, x)","F"
469,0,-1,19,0.000000,"\text{Not used}","int((a + b*(c/cos(e + f*x))^n)^p,x)","\int {\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int((a + b*(c/cos(e + f*x))^n)^p, x)","F"
470,0,-1,28,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(a + b*(c/cos(e + f*x))^n)^p,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(a+b\,{\left(\frac{c}{\cos\left(e+f\,x\right)}\right)}^n\right)}^p \,d x","Not used",0,"int(cot(e + f*x)^2*(a + b*(c/cos(e + f*x))^n)^p, x)","F"