1,1,176,105,6.643700,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{7\,a\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}-\frac{\frac{7\,a\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{4}+\frac{79\,a\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{6}-\frac{224\,a\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{15}+\frac{49\,a\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{6}-\frac{7\,a\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{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)}","Not used",1,"(7*a*c^4*atanh(tan(e/2 + (f*x)/2)))/(4*f) - ((49*a*c^4*tan(e/2 + (f*x)/2)^3)/6 - (7*a*c^4*tan(e/2 + (f*x)/2))/4 - (224*a*c^4*tan(e/2 + (f*x)/2)^5)/15 + (79*a*c^4*tan(e/2 + (f*x)/2)^7)/6 + (7*a*c^4*tan(e/2 + (f*x)/2)^9)/4)/(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))","B"
2,1,146,86,5.196601,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{5\,a\,c^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}-\frac{\frac{5\,a\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}+\frac{73\,a\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{12}-\frac{55\,a\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12}+\frac{5\,a\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(5*a*c^3*atanh(tan(e/2 + (f*x)/2)))/(4*f) - ((5*a*c^3*tan(e/2 + (f*x)/2))/4 - (55*a*c^3*tan(e/2 + (f*x)/2)^3)/12 + (73*a*c^3*tan(e/2 + (f*x)/2)^5)/12 + (5*a*c^3*tan(e/2 + (f*x)/2)^7)/4)/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1))","B"
3,1,114,61,3.809545,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{a\,c^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}-\frac{a\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\frac{8\,a\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}-a\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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,"(a*c^2*atanh(tan(e/2 + (f*x)/2)))/f - ((8*a*c^2*tan(e/2 + (f*x)/2)^3)/3 - a*c^2*tan(e/2 + (f*x)/2) + a*c^2*tan(e/2 + (f*x)/2)^5)/(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"
4,1,77,38,2.238352,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x)))/cos(e + f*x),x)","\frac{a\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}-\frac{a\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+a\,c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(a*c*atanh(tan(e/2 + (f*x)/2)))/f - (a*c*tan(e/2 + (f*x)/2)^3 + a*c*tan(e/2 + (f*x)/2))/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1))","B"
5,1,31,42,1.846234,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))),x)","-\frac{2\,a\,\left(\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c\,f}","Not used",1,"-(2*a*(atanh(tan(e/2 + (f*x)/2)) - cot(e/2 + (f*x)/2)))/(c*f)","B"
6,1,20,36,2.060106,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^2),x)","-\frac{a\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,c^2\,f}","Not used",1,"-(a*cot(e/2 + (f*x)/2)^3)/(3*c^2*f)","B"
7,1,35,76,1.710056,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^3),x)","\frac{a\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-5\right)}{30\,c^3\,f}","Not used",1,"(a*cot(e/2 + (f*x)/2)^3*(3*cot(e/2 + (f*x)/2)^2 - 5))/(30*c^3*f)","B"
8,1,61,116,1.745612,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^4),x)","\frac{a\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{10\,c^4\,f}-\frac{a\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12\,c^4\,f}-\frac{a\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{28\,c^4\,f}","Not used",1,"(a*cot(e/2 + (f*x)/2)^5)/(10*c^4*f) - (a*cot(e/2 + (f*x)/2)^3)/(12*c^4*f) - (a*cot(e/2 + (f*x)/2)^7)/(28*c^4*f)","B"
9,1,106,158,1.842541,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^5),x)","\frac{a\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(35\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-135\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+189\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-105\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\right)}{2520\,c^5\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(a*cos(e/2 + (f*x)/2)^3*(35*cos(e/2 + (f*x)/2)^6 - 105*sin(e/2 + (f*x)/2)^6 + 189*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^4 - 135*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^2))/(2520*c^5*f*sin(e/2 + (f*x)/2)^9)","B"
10,1,251,171,5.760345,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^5)/cos(e + f*x),x)","\frac{-\frac{9\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}{8}+\frac{15\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{2}+\frac{1199\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{40}-\frac{1152\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{35}+\frac{849\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{40}-\frac{15\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{2}+\frac{9\,a^2\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{8}}{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)}+\frac{9\,a^2\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}","Not used",1,"((849*a^2*c^5*tan(e/2 + (f*x)/2)^5)/40 - (15*a^2*c^5*tan(e/2 + (f*x)/2)^3)/2 - (1152*a^2*c^5*tan(e/2 + (f*x)/2)^7)/35 + (1199*a^2*c^5*tan(e/2 + (f*x)/2)^9)/40 + (15*a^2*c^5*tan(e/2 + (f*x)/2)^11)/2 - (9*a^2*c^5*tan(e/2 + (f*x)/2)^13)/8 + (9*a^2*c^5*tan(e/2 + (f*x)/2))/8)/(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)) + (9*a^2*c^5*atanh(tan(e/2 + (f*x)/2)))/(8*f)","B"
11,1,219,150,5.607797,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{-\frac{7\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{8}+\frac{119\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{24}+\frac{281\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{20}-\frac{231\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20}+\frac{119\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{24}-\frac{7\,a^2\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{8}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{7\,a^2\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}","Not used",1,"((119*a^2*c^4*tan(e/2 + (f*x)/2)^3)/24 - (231*a^2*c^4*tan(e/2 + (f*x)/2)^5)/20 + (281*a^2*c^4*tan(e/2 + (f*x)/2)^7)/20 + (119*a^2*c^4*tan(e/2 + (f*x)/2)^9)/24 - (7*a^2*c^4*tan(e/2 + (f*x)/2)^11)/8 - (7*a^2*c^4*tan(e/2 + (f*x)/2))/8)/(f*(15*tan(e/2 + (f*x)/2)^4 - 6*tan(e/2 + (f*x)/2)^2 - 20*tan(e/2 + (f*x)/2)^6 + 15*tan(e/2 + (f*x)/2)^8 - 6*tan(e/2 + (f*x)/2)^10 + tan(e/2 + (f*x)/2)^12 + 1)) + (7*a^2*c^4*atanh(tan(e/2 + (f*x)/2)))/(8*f)","B"
12,1,187,94,6.503272,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{-\frac{3\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{4}+\frac{7\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{2}+\frac{32\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5}-\frac{7\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{2}+\frac{3\,a^2\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{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{3\,a^2\,c^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}","Not used",1,"((32*a^2*c^3*tan(e/2 + (f*x)/2)^5)/5 - (7*a^2*c^3*tan(e/2 + (f*x)/2)^3)/2 + (7*a^2*c^3*tan(e/2 + (f*x)/2)^7)/2 - (3*a^2*c^3*tan(e/2 + (f*x)/2)^9)/4 + (3*a^2*c^3*tan(e/2 + (f*x)/2))/4)/(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)) + (3*a^2*c^3*atanh(tan(e/2 + (f*x)/2)))/(4*f)","B"
13,1,155,73,5.212613,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{-\frac{3\,a^2\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}+\frac{11\,a^2\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{4}+\frac{11\,a^2\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{4}-\frac{3\,a^2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{3\,a^2\,c^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}","Not used",1,"((11*a^2*c^2*tan(e/2 + (f*x)/2)^3)/4 + (11*a^2*c^2*tan(e/2 + (f*x)/2)^5)/4 - (3*a^2*c^2*tan(e/2 + (f*x)/2)^7)/4 - (3*a^2*c^2*tan(e/2 + (f*x)/2))/4)/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1)) + (3*a^2*c^2*atanh(tan(e/2 + (f*x)/2)))/(4*f)","B"
14,1,113,61,3.786443,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x)))/cos(e + f*x),x)","\frac{-c\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\frac{8\,c\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+c\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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)}+\frac{a^2\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}","Not used",1,"(a^2*c*tan(e/2 + (f*x)/2) + (8*a^2*c*tan(e/2 + (f*x)/2)^3)/3 - a^2*c*tan(e/2 + (f*x)/2)^5)/(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)) + (a^2*c*atanh(tan(e/2 + (f*x)/2)))/f","B"
15,1,77,74,1.907122,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))),x)","\frac{6\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-4\,a^2}{c\,f\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}-\frac{6\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c\,f}","Not used",1,"(6*a^2*tan(e/2 + (f*x)/2)^2 - 4*a^2)/(c*f*tan(e/2 + (f*x)/2)*(tan(e/2 + (f*x)/2)^2 - 1)) - (6*a^2*atanh(tan(e/2 + (f*x)/2)))/(c*f)","B"
16,1,63,89,1.779060,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^2),x)","\frac{2\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c^2\,f}-\frac{2\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+\frac{2\,a^2}{3}}{c^2\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}","Not used",1,"(2*a^2*atanh(tan(e/2 + (f*x)/2)))/(c^2*f) - (2*a^2*tan(e/2 + (f*x)/2)^2 + (2*a^2)/3)/(c^2*f*tan(e/2 + (f*x)/2)^3)","B"
17,1,22,38,1.643187,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^3),x)","\frac{a^2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5\,c^3\,f}","Not used",1,"(a^2*cot(e/2 + (f*x)/2)^5)/(5*c^3*f)","B"
18,1,37,80,1.621142,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^4),x)","-\frac{a^2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(5\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-7\right)}{70\,c^4\,f}","Not used",1,"-(a^2*cot(e/2 + (f*x)/2)^5*(5*cot(e/2 + (f*x)/2)^2 - 7))/(70*c^4*f)","B"
19,1,67,121,1.631158,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^5),x)","\frac{a^2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20\,c^5\,f}-\frac{a^2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{14\,c^5\,f}+\frac{a^2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{36\,c^5\,f}","Not used",1,"(a^2*cot(e/2 + (f*x)/2)^5)/(20*c^5*f) - (a^2*cot(e/2 + (f*x)/2)^7)/(14*c^5*f) + (a^2*cot(e/2 + (f*x)/2)^9)/(36*c^5*f)","B"
20,1,108,163,1.691283,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^6),x)","-\frac{a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(105\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-385\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+495\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-231\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\right)}{9240\,c^6\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}","Not used",1,"-(a^2*cos(e/2 + (f*x)/2)^5*(105*cos(e/2 + (f*x)/2)^6 - 231*sin(e/2 + (f*x)/2)^6 + 495*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^4 - 385*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^2))/(9240*c^6*f*sin(e/2 + (f*x)/2)^11)","B"
21,1,316,227,5.578681,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^6)/cos(e + f*x),x)","\frac{55\,a^3\,c^6\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{64\,f}-\frac{\frac{55\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{17}}{64}-\frac{715\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{15}}{96}+\frac{913\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}{32}+\frac{18589\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{224}-\frac{5632\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{63}+\frac{14179\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{224}-\frac{913\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{32}+\frac{715\,a^3\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{96}-\frac{55\,a^3\,c^6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{64}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{18}-9\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{16}+36\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}-84\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}+126\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}-126\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+84\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-36\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+9\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}","Not used",1,"(55*a^3*c^6*atanh(tan(e/2 + (f*x)/2)))/(64*f) - ((715*a^3*c^6*tan(e/2 + (f*x)/2)^3)/96 - (913*a^3*c^6*tan(e/2 + (f*x)/2)^5)/32 + (14179*a^3*c^6*tan(e/2 + (f*x)/2)^7)/224 - (5632*a^3*c^6*tan(e/2 + (f*x)/2)^9)/63 + (18589*a^3*c^6*tan(e/2 + (f*x)/2)^11)/224 + (913*a^3*c^6*tan(e/2 + (f*x)/2)^13)/32 - (715*a^3*c^6*tan(e/2 + (f*x)/2)^15)/96 + (55*a^3*c^6*tan(e/2 + (f*x)/2)^17)/64 - (55*a^3*c^6*tan(e/2 + (f*x)/2))/64)/(f*(9*tan(e/2 + (f*x)/2)^2 - 36*tan(e/2 + (f*x)/2)^4 + 84*tan(e/2 + (f*x)/2)^6 - 126*tan(e/2 + (f*x)/2)^8 + 126*tan(e/2 + (f*x)/2)^10 - 84*tan(e/2 + (f*x)/2)^12 + 36*tan(e/2 + (f*x)/2)^14 - 9*tan(e/2 + (f*x)/2)^16 + tan(e/2 + (f*x)/2)^18 - 1))","B"
22,1,284,206,5.518285,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^5)/cos(e + f*x),x)","\frac{45\,a^3\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{64\,f}-\frac{\frac{45\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{15}}{64}-\frac{345\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}{64}+\frac{1149\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{64}+\frac{17609\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{448}-\frac{15159\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{448}+\frac{1149\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{64}-\frac{345\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{64}+\frac{45\,a^3\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{64}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{16}-8\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}+28\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-56\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+70\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-56\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+28\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-8\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(45*a^3*c^5*atanh(tan(e/2 + (f*x)/2)))/(64*f) - ((1149*a^3*c^5*tan(e/2 + (f*x)/2)^5)/64 - (345*a^3*c^5*tan(e/2 + (f*x)/2)^3)/64 - (15159*a^3*c^5*tan(e/2 + (f*x)/2)^7)/448 + (17609*a^3*c^5*tan(e/2 + (f*x)/2)^9)/448 + (1149*a^3*c^5*tan(e/2 + (f*x)/2)^11)/64 - (345*a^3*c^5*tan(e/2 + (f*x)/2)^13)/64 + (45*a^3*c^5*tan(e/2 + (f*x)/2)^15)/64 + (45*a^3*c^5*tan(e/2 + (f*x)/2))/64)/(f*(28*tan(e/2 + (f*x)/2)^4 - 8*tan(e/2 + (f*x)/2)^2 - 56*tan(e/2 + (f*x)/2)^6 + 70*tan(e/2 + (f*x)/2)^8 - 56*tan(e/2 + (f*x)/2)^10 + 28*tan(e/2 + (f*x)/2)^12 - 8*tan(e/2 + (f*x)/2)^14 + tan(e/2 + (f*x)/2)^16 + 1))","B"
23,1,252,121,5.706509,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{5\,a^3\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}-\frac{\frac{5\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}{8}-\frac{25\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{6}+\frac{283\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{24}+\frac{128\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{7}-\frac{283\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{24}+\frac{25\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{6}-\frac{5\,a^3\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{8}}{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,"(5*a^3*c^4*atanh(tan(e/2 + (f*x)/2)))/(8*f) - ((25*a^3*c^4*tan(e/2 + (f*x)/2)^3)/6 - (283*a^3*c^4*tan(e/2 + (f*x)/2)^5)/24 + (128*a^3*c^4*tan(e/2 + (f*x)/2)^7)/7 + (283*a^3*c^4*tan(e/2 + (f*x)/2)^9)/24 - (25*a^3*c^4*tan(e/2 + (f*x)/2)^11)/6 + (5*a^3*c^4*tan(e/2 + (f*x)/2)^13)/8 - (5*a^3*c^4*tan(e/2 + (f*x)/2))/8)/(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"
24,1,220,100,5.559926,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{5\,a^3\,c^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}-\frac{\frac{5\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{8}-\frac{85\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{24}+\frac{33\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}+\frac{33\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{4}-\frac{85\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{24}+\frac{5\,a^3\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{8}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(5*a^3*c^3*atanh(tan(e/2 + (f*x)/2)))/(8*f) - ((33*a^3*c^3*tan(e/2 + (f*x)/2)^5)/4 - (85*a^3*c^3*tan(e/2 + (f*x)/2)^3)/24 + (33*a^3*c^3*tan(e/2 + (f*x)/2)^7)/4 - (85*a^3*c^3*tan(e/2 + (f*x)/2)^9)/24 + (5*a^3*c^3*tan(e/2 + (f*x)/2)^11)/8 + (5*a^3*c^3*tan(e/2 + (f*x)/2))/8)/(f*(15*tan(e/2 + (f*x)/2)^4 - 6*tan(e/2 + (f*x)/2)^2 - 20*tan(e/2 + (f*x)/2)^6 + 15*tan(e/2 + (f*x)/2)^8 - 6*tan(e/2 + (f*x)/2)^10 + tan(e/2 + (f*x)/2)^12 + 1))","B"
25,1,188,94,6.264970,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{3\,a^3\,c^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}-\frac{\frac{3\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{4}-\frac{7\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{2}+\frac{32\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5}+\frac{7\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{2}-\frac{3\,a^3\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{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)}","Not used",1,"(3*a^3*c^2*atanh(tan(e/2 + (f*x)/2)))/(4*f) - ((7*a^3*c^2*tan(e/2 + (f*x)/2)^3)/2 + (32*a^3*c^2*tan(e/2 + (f*x)/2)^5)/5 - (7*a^3*c^2*tan(e/2 + (f*x)/2)^7)/2 + (3*a^3*c^2*tan(e/2 + (f*x)/2)^9)/4 - (3*a^3*c^2*tan(e/2 + (f*x)/2))/4)/(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))","B"
26,1,146,86,4.791879,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x)))/cos(e + f*x),x)","\frac{5\,a^3\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}-\frac{\frac{5\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}-\frac{55\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{12}+\frac{73\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12}+\frac{5\,c\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(5*a^3*c*atanh(tan(e/2 + (f*x)/2)))/(4*f) - ((5*a^3*c*tan(e/2 + (f*x)/2))/4 + (73*a^3*c*tan(e/2 + (f*x)/2)^3)/12 - (55*a^3*c*tan(e/2 + (f*x)/2)^5)/12 + (5*a^3*c*tan(e/2 + (f*x)/2)^7)/4)/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1))","B"
27,1,105,100,3.171807,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))),x)","\frac{15\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-25\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+8\,a^3}{f\,\left(c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5-2\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}-\frac{15\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c\,f}","Not used",1,"(15*a^3*tan(e/2 + (f*x)/2)^4 - 25*a^3*tan(e/2 + (f*x)/2)^2 + 8*a^3)/(f*(c*tan(e/2 + (f*x)/2) - 2*c*tan(e/2 + (f*x)/2)^3 + c*tan(e/2 + (f*x)/2)^5)) - (15*a^3*atanh(tan(e/2 + (f*x)/2)))/(c*f)","B"
28,1,93,119,2.042720,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^2),x)","\frac{10\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c^2\,f}+\frac{-10\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\frac{20\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{3}+\frac{4\,a^3}{3}}{c^2\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}","Not used",1,"(10*a^3*atanh(tan(e/2 + (f*x)/2)))/(c^2*f) + ((20*a^3*tan(e/2 + (f*x)/2)^2)/3 - 10*a^3*tan(e/2 + (f*x)/2)^4 + (4*a^3)/3)/(c^2*f*tan(e/2 + (f*x)/2)^3*(tan(e/2 + (f*x)/2)^2 - 1))","B"
29,1,78,132,1.778148,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^3),x)","\frac{2\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\frac{2\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{3}+\frac{2\,a^3}{5}}{c^3\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}-\frac{2\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c^3\,f}","Not used",1,"((2*a^3*tan(e/2 + (f*x)/2)^2)/3 + 2*a^3*tan(e/2 + (f*x)/2)^4 + (2*a^3)/5)/(c^3*f*tan(e/2 + (f*x)/2)^5) - (2*a^3*atanh(tan(e/2 + (f*x)/2)))/(c^3*f)","B"
30,1,22,38,1.811465,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^4),x)","-\frac{a^3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{7\,c^4\,f}","Not used",1,"-(a^3*cot(e/2 + (f*x)/2)^7)/(7*c^4*f)","B"
31,1,37,80,1.621332,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^5),x)","\frac{a^3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(7\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-9\right)}{126\,c^5\,f}","Not used",1,"(a^3*cot(e/2 + (f*x)/2)^7*(7*cot(e/2 + (f*x)/2)^2 - 9))/(126*c^5*f)","B"
32,1,67,121,1.858601,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^6),x)","\frac{a^3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{18\,c^6\,f}-\frac{a^3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{28\,c^6\,f}-\frac{a^3\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{44\,c^6\,f}","Not used",1,"(a^3*cot(e/2 + (f*x)/2)^9)/(18*c^6*f) - (a^3*cot(e/2 + (f*x)/2)^7)/(28*c^6*f) - (a^3*cot(e/2 + (f*x)/2)^11)/(44*c^6*f)","B"
33,1,108,162,1.715781,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^7),x)","\frac{a^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(231\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-819\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1001\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-429\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\right)}{24024\,c^7\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}","Not used",1,"(a^3*cos(e/2 + (f*x)/2)^7*(231*cos(e/2 + (f*x)/2)^6 - 429*sin(e/2 + (f*x)/2)^6 + 1001*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^4 - 819*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^2))/(24024*c^7*f*sin(e/2 + (f*x)/2)^13)","B"
34,1,112,121,1.853659,"\text{Not used}","int((c - c/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{16\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f}-\frac{29\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5-\frac{136\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+19\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f\,{\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}^3}-\frac{35\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}","Not used",1,"(16*c^4*tan(e/2 + (f*x)/2))/(a*f) - (29*c^4*tan(e/2 + (f*x)/2)^5 - (136*c^4*tan(e/2 + (f*x)/2)^3)/3 + 19*c^4*tan(e/2 + (f*x)/2))/(a*f*(tan(e/2 + (f*x)/2)^2 - 1)^3) - (35*c^4*atanh(tan(e/2 + (f*x)/2)))/(a*f)","B"
35,1,96,100,1.660055,"\text{Not used}","int((c - c/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{8\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f}-\frac{9\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3-7\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f\,{\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}^2}-\frac{15\,c^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}","Not used",1,"(8*c^3*tan(e/2 + (f*x)/2))/(a*f) - (9*c^3*tan(e/2 + (f*x)/2)^3 - 7*c^3*tan(e/2 + (f*x)/2))/(a*f*(tan(e/2 + (f*x)/2)^2 - 1)^2) - (15*c^3*atanh(tan(e/2 + (f*x)/2)))/(a*f)","B"
36,1,77,74,1.635739,"\text{Not used}","int((c - c/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{4\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f}+\frac{2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a-a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}-\frac{6\,c^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}","Not used",1,"(4*c^2*tan(e/2 + (f*x)/2))/(a*f) + (2*c^2*tan(e/2 + (f*x)/2))/(f*(a - a*tan(e/2 + (f*x)/2)^2)) - (6*c^2*atanh(tan(e/2 + (f*x)/2)))/(a*f)","B"
37,1,31,41,1.577137,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","-\frac{2\,c\,\left(\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}","Not used",1,"-(2*c*(atanh(tan(e/2 + (f*x)/2)) - tan(e/2 + (f*x)/2)))/(a*f)","B"
38,1,18,16,1.556096,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))),x)","\frac{1}{a\,c\,f\,\sin\left(e+f\,x\right)}","Not used",1,"1/(a*c*f*sin(e + f*x))","B"
39,1,50,59,1.641741,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^2),x)","\frac{3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}{12\,a\,c^2\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}","Not used",1,"(6*tan(e/2 + (f*x)/2)^2 + 3*tan(e/2 + (f*x)/2)^4 - 1)/(12*a*c^2*f*tan(e/2 + (f*x)/2)^3)","B"
40,1,63,78,1.722094,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^3),x)","\frac{5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+15\,{\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}{40\,a\,c^3\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(15*tan(e/2 + (f*x)/2)^4 - 5*tan(e/2 + (f*x)/2)^2 + 5*tan(e/2 + (f*x)/2)^6 + 1)/(40*a*c^3*f*tan(e/2 + (f*x)/2)^5)","B"
41,1,83,120,2.131345,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^4),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{16\,a\,c^4\,f}+\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{4}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{8}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{20}-\frac{1}{112}}{a\,c^4\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"tan(e/2 + (f*x)/2)/(16*a*c^4*f) + (tan(e/2 + (f*x)/2)^2/20 - tan(e/2 + (f*x)/2)^4/8 + tan(e/2 + (f*x)/2)^6/4 - 1/112)/(a*c^4*f*tan(e/2 + (f*x)/2)^7)","B"
42,1,170,164,1.733806,"\text{Not used}","int((c - c/cos(e + f*x))^5/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{55\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5-\frac{280\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+41\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-3\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+3\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^2\right)}-\frac{64\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^2\,f}-\frac{16\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^2\,f}+\frac{105\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}","Not used",1,"(55*c^5*tan(e/2 + (f*x)/2)^5 - (280*c^5*tan(e/2 + (f*x)/2)^3)/3 + 41*c^5*tan(e/2 + (f*x)/2))/(f*(3*a^2*tan(e/2 + (f*x)/2)^2 - 3*a^2*tan(e/2 + (f*x)/2)^4 + a^2*tan(e/2 + (f*x)/2)^6 - a^2)) - (64*c^5*tan(e/2 + (f*x)/2))/(a^2*f) - (16*c^5*tan(e/2 + (f*x)/2)^3)/(3*a^2*f) + (105*c^5*atanh(tan(e/2 + (f*x)/2)))/(a^2*f)","B"
43,1,136,150,1.680657,"\text{Not used}","int((c - c/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{13\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3-11\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a^2\right)}-\frac{24\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^2\,f}-\frac{8\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^2\,f}+\frac{35\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}","Not used",1,"(13*c^4*tan(e/2 + (f*x)/2)^3 - 11*c^4*tan(e/2 + (f*x)/2))/(f*(a^2*tan(e/2 + (f*x)/2)^4 - 2*a^2*tan(e/2 + (f*x)/2)^2 + a^2)) - (24*c^4*tan(e/2 + (f*x)/2))/(a^2*f) - (8*c^4*tan(e/2 + (f*x)/2)^3)/(3*a^2*f) + (35*c^4*atanh(tan(e/2 + (f*x)/2)))/(a^2*f)","B"
44,1,104,119,1.649343,"\text{Not used}","int((c - c/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{10\,c^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}-\frac{4\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^2\,f}-\frac{8\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^2\,f}+\frac{2\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^2\right)}","Not used",1,"(10*c^3*atanh(tan(e/2 + (f*x)/2)))/(a^2*f) - (4*c^3*tan(e/2 + (f*x)/2)^3)/(3*a^2*f) - (8*c^3*tan(e/2 + (f*x)/2))/(a^2*f) + (2*c^3*tan(e/2 + (f*x)/2))/(f*(a^2*tan(e/2 + (f*x)/2)^2 - a^2))","B"
45,1,46,88,1.611504,"\text{Not used}","int((c - c/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","-\frac{2\,c^2\,\left(3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\right)}{3\,a^2\,f}","Not used",1,"-(2*c^2*(3*tan(e/2 + (f*x)/2) - 3*atanh(tan(e/2 + (f*x)/2)) + tan(e/2 + (f*x)/2)^3))/(3*a^2*f)","B"
46,1,20,36,1.567399,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","-\frac{c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^2\,f}","Not used",1,"-(c*tan(e/2 + (f*x)/2)^3)/(3*a^2*f)","B"
47,1,61,59,1.617837,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))),x)","-\frac{4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1}{12\,a^2\,c\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}","Not used",1,"-(4*cos(e/2 + (f*x)/2)^4 - 8*cos(e/2 + (f*x)/2)^2 + 1)/(12*a^2*c*f*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2))","B"
48,1,28,38,1.565010,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^2),x)","\frac{{\sin\left(e+f\,x\right)}^2-\frac{1}{3}}{a^2\,c^2\,f\,{\sin\left(e+f\,x\right)}^3}","Not used",1,"(sin(e + f*x)^2 - 1/3)/(a^2*c^2*f*sin(e + f*x)^3)","B"
49,1,76,80,2.008590,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^3),x)","\frac{-5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+60\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+90\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-20\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3}{240\,a^2\,c^3\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(90*tan(e/2 + (f*x)/2)^4 - 20*tan(e/2 + (f*x)/2)^2 + 60*tan(e/2 + (f*x)/2)^6 - 5*tan(e/2 + (f*x)/2)^8 + 3)/(240*a^2*c^3*f*tan(e/2 + (f*x)/2)^5)","B"
50,1,89,98,2.667544,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^4),x)","\frac{-7\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+105\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+210\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-70\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+21\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-3}{672\,a^2\,c^4\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"(21*tan(e/2 + (f*x)/2)^2 - 70*tan(e/2 + (f*x)/2)^4 + 210*tan(e/2 + (f*x)/2)^6 + 105*tan(e/2 + (f*x)/2)^8 - 7*tan(e/2 + (f*x)/2)^10 - 3)/(672*a^2*c^4*f*tan(e/2 + (f*x)/2)^7)","B"
51,1,102,141,4.236638,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^5),x)","\frac{-21\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}+378\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+945\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-420\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+189\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-54\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+7}{4032\,a^2\,c^5\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(189*tan(e/2 + (f*x)/2)^4 - 54*tan(e/2 + (f*x)/2)^2 - 420*tan(e/2 + (f*x)/2)^6 + 945*tan(e/2 + (f*x)/2)^8 + 378*tan(e/2 + (f*x)/2)^10 - 21*tan(e/2 + (f*x)/2)^12 + 7)/(4032*a^2*c^5*f*tan(e/2 + (f*x)/2)^9)","B"
52,1,193,215,1.652541,"\text{Not used}","int((c - c/cos(e + f*x))^6/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{160\,c^6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^3\,f}-\frac{89\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5-\frac{472\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+71\,c^6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-3\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+3\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^3\right)}+\frac{64\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^3\,f}+\frac{16\,c^6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5\,a^3\,f}-\frac{231\,c^6\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^3\,f}","Not used",1,"(160*c^6*tan(e/2 + (f*x)/2))/(a^3*f) - (89*c^6*tan(e/2 + (f*x)/2)^5 - (472*c^6*tan(e/2 + (f*x)/2)^3)/3 + 71*c^6*tan(e/2 + (f*x)/2))/(f*(3*a^3*tan(e/2 + (f*x)/2)^2 - 3*a^3*tan(e/2 + (f*x)/2)^4 + a^3*tan(e/2 + (f*x)/2)^6 - a^3)) + (64*c^6*tan(e/2 + (f*x)/2)^3)/(3*a^3*f) + (16*c^6*tan(e/2 + (f*x)/2)^5)/(5*a^3*f) - (231*c^6*atanh(tan(e/2 + (f*x)/2)))/(a^3*f)","B"
53,1,159,193,1.641564,"\text{Not used}","int((c - c/cos(e + f*x))^5/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{48\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^3\,f}-\frac{17\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3-15\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a^3\right)}+\frac{8\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{a^3\,f}+\frac{8\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5\,a^3\,f}-\frac{63\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^3\,f}","Not used",1,"(48*c^5*tan(e/2 + (f*x)/2))/(a^3*f) - (17*c^5*tan(e/2 + (f*x)/2)^3 - 15*c^5*tan(e/2 + (f*x)/2))/(f*(a^3*tan(e/2 + (f*x)/2)^4 - 2*a^3*tan(e/2 + (f*x)/2)^2 + a^3)) + (8*c^5*tan(e/2 + (f*x)/2)^3)/(a^3*f) + (8*c^5*tan(e/2 + (f*x)/2)^5)/(5*a^3*f) - (63*c^5*atanh(tan(e/2 + (f*x)/2)))/(a^3*f)","B"
54,1,126,164,1.628802,"\text{Not used}","int((c - c/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{12\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^3\,f}+\frac{8\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3\,a^3\,f}+\frac{4\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5\,a^3\,f}-\frac{14\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^3\,f}-\frac{2\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^3\right)}","Not used",1,"(12*c^4*tan(e/2 + (f*x)/2))/(a^3*f) + (8*c^4*tan(e/2 + (f*x)/2)^3)/(3*a^3*f) + (4*c^4*tan(e/2 + (f*x)/2)^5)/(5*a^3*f) - (14*c^4*atanh(tan(e/2 + (f*x)/2)))/(a^3*f) - (2*c^4*tan(e/2 + (f*x)/2))/(f*(a^3*tan(e/2 + (f*x)/2)^2 - a^3))","B"
55,1,61,131,1.646084,"\text{Not used}","int((c - c/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{2\,c^3\,\left(15\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-15\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)+5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\right)}{15\,a^3\,f}","Not used",1,"(2*c^3*(15*tan(e/2 + (f*x)/2) - 15*atanh(tan(e/2 + (f*x)/2)) + 5*tan(e/2 + (f*x)/2)^3 + 3*tan(e/2 + (f*x)/2)^5))/(15*a^3*f)","B"
56,1,22,38,1.592995,"\text{Not used}","int((c - c/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5\,a^3\,f}","Not used",1,"(c^2*tan(e/2 + (f*x)/2)^5)/(5*a^3*f)","B"
57,1,35,76,1.575752,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-5\right)}{30\,a^3\,f}","Not used",1,"(c*tan(e/2 + (f*x)/2)^3*(3*tan(e/2 + (f*x)/2)^2 - 5))/(30*a^3*f)","B"
58,1,74,78,1.623727,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))),x)","-\frac{16\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-28\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+8\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}{40\,a^3\,c\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}","Not used",1,"-(8*cos(e/2 + (f*x)/2)^2 - 28*cos(e/2 + (f*x)/2)^4 + 16*cos(e/2 + (f*x)/2)^6 - 1)/(40*a^3*c*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2))","B"
59,1,111,80,1.708477,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^2),x)","\frac{48\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-192\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+168\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-32\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3}{240\,a^3\,c^2\,f\,\left({\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}","Not used",1,"(168*cos(e/2 + (f*x)/2)^4 - 32*cos(e/2 + (f*x)/2)^2 - 192*cos(e/2 + (f*x)/2)^6 + 48*cos(e/2 + (f*x)/2)^8 + 3)/(240*a^3*c^2*f*(cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2) - cos(e/2 + (f*x)/2)^7*sin(e/2 + (f*x)/2)))","B"
60,1,38,59,1.627988,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^3),x)","\frac{{\sin\left(e+f\,x\right)}^4-\frac{2\,{\sin\left(e+f\,x\right)}^2}{3}+\frac{1}{5}}{a^3\,c^3\,f\,{\sin\left(e+f\,x\right)}^5}","Not used",1,"(sin(e + f*x)^4 - (2*sin(e + f*x)^2)/3 + 1/5)/(a^3*c^3*f*sin(e + f*x)^5)","B"
61,1,129,99,2.535852,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^4),x)","\frac{\left(2\,{\sin\left(\frac{e}{4}+\frac{f\,x}{4}\right)}^2-1\right)\,\left(\frac{235\,{\sin\left(e+f\,x\right)}^2}{16}-\frac{45\,{\sin\left(2\,e+2\,f\,x\right)}^2}{8}+\frac{19\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{2}+\frac{5\,{\sin\left(3\,e+3\,f\,x\right)}^2}{16}-\frac{5\,{\sin\left(\frac{3\,e}{2}+\frac{3\,f\,x}{2}\right)}^2}{4}+\frac{15\,{\sin\left(\frac{5\,e}{2}+\frac{5\,f\,x}{2}\right)}^2}{4}-5\right)}{2240\,a^3\,c^4\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,{\left({\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}^3}","Not used",1,"((2*sin(e/4 + (f*x)/4)^2 - 1)*((19*sin(e/2 + (f*x)/2)^2)/2 - (45*sin(2*e + 2*f*x)^2)/8 + (5*sin(3*e + 3*f*x)^2)/16 - (5*sin((3*e)/2 + (3*f*x)/2)^2)/4 + (15*sin((5*e)/2 + (5*f*x)/2)^2)/4 + (235*sin(e + f*x)^2)/16 - 5))/(2240*a^3*c^4*f*sin(e/2 + (f*x)/2)^7*(sin(e/2 + (f*x)/2)^2 - 1)^3)","B"
62,1,109,120,2.881764,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^5),x)","\frac{\frac{145\,\cos\left(3\,e+3\,f\,x\right)}{32}-\frac{169\,\cos\left(2\,e+2\,f\,x\right)}{32}-\frac{129\,\cos\left(e+f\,x\right)}{32}+\frac{55\,\cos\left(4\,e+4\,f\,x\right)}{16}-\frac{85\,\cos\left(5\,e+5\,f\,x\right)}{32}+\frac{25\,\cos\left(6\,e+6\,f\,x\right)}{32}+\frac{5\,\cos\left(7\,e+7\,f\,x\right)}{32}+\frac{129}{16}}{5760\,a^3\,c^5\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"((145*cos(3*e + 3*f*x))/32 - (169*cos(2*e + 2*f*x))/32 - (129*cos(e + f*x))/32 + (55*cos(4*e + 4*f*x))/16 - (85*cos(5*e + 5*f*x))/32 + (25*cos(6*e + 6*f*x))/32 + (5*cos(7*e + 7*f*x))/32 + 129/16)/(5760*a^3*c^5*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^9)","B"
63,1,120,162,3.107023,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^6),x)","-\frac{\frac{605\,\cos\left(e+f\,x\right)}{8}+\frac{1023\,\cos\left(2\,e+2\,f\,x\right)}{16}-\frac{349\,\cos\left(3\,e+3\,f\,x\right)}{8}-\frac{325\,\cos\left(4\,e+4\,f\,x\right)}{32}+\frac{305\,\cos\left(5\,e+5\,f\,x\right)}{8}-\frac{215\,\cos\left(6\,e+6\,f\,x\right)}{16}+\frac{15\,\cos\left(7\,e+7\,f\,x\right)}{8}+\frac{125\,\cos\left(8\,e+8\,f\,x\right)}{128}-\frac{8745}{128}}{126720\,a^3\,c^6\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}","Not used",1,"-((605*cos(e + f*x))/8 + (1023*cos(2*e + 2*f*x))/16 - (349*cos(3*e + 3*f*x))/8 - (325*cos(4*e + 4*f*x))/32 + (305*cos(5*e + 5*f*x))/8 - (215*cos(6*e + 6*f*x))/16 + (15*cos(7*e + 7*f*x))/8 + (125*cos(8*e + 8*f*x))/128 - 8745/128)/(126720*a^3*c^6*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^11)","B"
64,1,483,163,9.130636,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(7/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^3\,2{}\mathrm{i}}{f}+\frac{a\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,638{}\mathrm{i}}{315\,f}\right)}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^3\,32{}\mathrm{i}}{9\,f}+\frac{a\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,32{}\mathrm{i}}{9\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^3\,96{}\mathrm{i}}{7\,f}+\frac{a\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,32{}\mathrm{i}}{63\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^3\,64{}\mathrm{i}}{5\,f}-\frac{a\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,736{}\mathrm{i}}{105\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^3\,8{}\mathrm{i}}{3\,f}-\frac{a\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1256{}\mathrm{i}}{315\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^3*2i)/f + (a*c^3*exp(e*1i + f*x*1i)*638i)/(315*f)))/(exp(e*1i + f*x*1i) - 1) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^3*32i)/(9*f) + (a*c^3*exp(e*1i + f*x*1i)*32i)/(9*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^3*96i)/(7*f) + (a*c^3*exp(e*1i + f*x*1i)*32i)/(63*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^3*64i)/(5*f) - (a*c^3*exp(e*1i + f*x*1i)*736i)/(105*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^3*8i)/(3*f) - (a*c^3*exp(e*1i + f*x*1i)*1256i)/(315*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1))","B"
65,1,384,122,6.004170,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^2\,2{}\mathrm{i}}{f}+\frac{a\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,142{}\mathrm{i}}{105\,f}\right)}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^2\,16{}\mathrm{i}}{7\,f}-\frac{a\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,16{}\mathrm{i}}{7\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^2\,8{}\mathrm{i}}{5\,f}-\frac{a\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,184{}\mathrm{i}}{35\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a\,c^2\,4{}\mathrm{i}}{3\,f}+\frac{a\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,244{}\mathrm{i}}{105\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^2*2i)/f + (a*c^2*exp(e*1i + f*x*1i)*142i)/(105*f)))/(exp(e*1i + f*x*1i) - 1) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^2*16i)/(7*f) - (a*c^2*exp(e*1i + f*x*1i)*16i)/(7*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^2*8i)/(5*f) - (a*c^2*exp(e*1i + f*x*1i)*184i)/(35*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a*c^2*4i)/(3*f) + (a*c^2*exp(e*1i + f*x*1i)*244i)/(105*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1))","B"
66,1,120,81,5.364137,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","-\frac{2\,a\,c\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^3\,\sqrt{c-\frac{c}{\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}}}\,\left(7+7\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}-6\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\right)}{15\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"-(2*a*c*(exp(e*1i + f*x*1i)*1i + 1i)^3*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*(7*exp(e*2i + f*x*2i) - 6*exp(e*1i + f*x*1i) + 7))/(15*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2)","B"
67,1,87,39,2.748958,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{2\,a\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(2\,\sin\left(2\,e+2\,f\,x\right)-\sin\left(4\,e+4\,f\,x\right)\right)}{3\,f\,\left(8\,\cos\left(2\,e+2\,f\,x\right)-12\,\cos\left(e+f\,x\right)-4\,\cos\left(3\,e+3\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+7\right)}","Not used",1,"(2*a*(c - c/cos(e + f*x))^(1/2)*(2*sin(2*e + 2*f*x) - sin(4*e + 4*f*x)))/(3*f*(8*cos(2*e + 2*f*x) - 12*cos(e + f*x) - 4*cos(3*e + 3*f*x) + cos(4*e + 4*f*x) + 7))","B"
68,0,-1,77,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{a+\frac{a}{\cos\left(e+f\,x\right)}}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
69,0,-1,76,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{a+\frac{a}{\cos\left(e+f\,x\right)}}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
70,0,-1,113,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{a+\frac{a}{\cos\left(e+f\,x\right)}}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)), x)","F"
71,1,606,171,14.397417,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(7/2))/cos(e + f*x),x)","\frac{\left(\frac{a^2\,c^3\,2{}\mathrm{i}}{f}+\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1066{}\mathrm{i}}{1155\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}+\frac{\left(\frac{a^2\,c^3\,64{}\mathrm{i}}{11\,f}-\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,64{}\mathrm{i}}{11\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{\left(\frac{a^2\,c^3\,32{}\mathrm{i}}{3\,f}-\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,608{}\mathrm{i}}{33\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\left(\frac{a^2\,c^3\,4{}\mathrm{i}}{f}+\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,2932{}\mathrm{i}}{1155\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\left(\frac{a^2\,c^3\,16{}\mathrm{i}}{5\,f}+\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,4272{}\mathrm{i}}{385\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\left(\frac{a^2\,c^3\,32{}\mathrm{i}}{7\,f}-\frac{a^2\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,4640{}\mathrm{i}}{231\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(((a^2*c^3*2i)/f + (a^2*c^3*exp(e*1i + f*x*1i)*1066i)/(1155*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/(exp(e*1i + f*x*1i) - 1) + (((a^2*c^3*64i)/(11*f) - (a^2*c^3*exp(e*1i + f*x*1i)*64i)/(11*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^5) - (((a^2*c^3*32i)/(3*f) - (a^2*c^3*exp(e*1i + f*x*1i)*608i)/(33*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) - (((a^2*c^3*4i)/f + (a^2*c^3*exp(e*1i + f*x*1i)*2932i)/(1155*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) + (((a^2*c^3*16i)/(5*f) + (a^2*c^3*exp(e*1i + f*x*1i)*4272i)/(385*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) + (((a^2*c^3*32i)/(7*f) - (a^2*c^3*exp(e*1i + f*x*1i)*4640i)/(231*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3)","B"
72,1,503,128,7.989674,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{\left(\frac{a^2\,c^2\,2{}\mathrm{i}}{f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,214{}\mathrm{i}}{315\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}+\frac{\left(\frac{a^2\,c^2\,32{}\mathrm{i}}{9\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,32{}\mathrm{i}}{9\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\left(\frac{a^2\,c^2\,64{}\mathrm{i}}{7\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,320{}\mathrm{i}}{63\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\left(\frac{a^2\,c^2\,48{}\mathrm{i}}{5\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,368{}\mathrm{i}}{105\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\left(\frac{a^2\,c^2\,16{}\mathrm{i}}{3\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,208{}\mathrm{i}}{315\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"(((a^2*c^2*2i)/f + (a^2*c^2*exp(e*1i + f*x*1i)*214i)/(315*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/(exp(e*1i + f*x*1i) - 1) + (((a^2*c^2*32i)/(9*f) + (a^2*c^2*exp(e*1i + f*x*1i)*32i)/(9*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) - (((a^2*c^2*64i)/(7*f) + (a^2*c^2*exp(e*1i + f*x*1i)*320i)/(63*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3) + (((a^2*c^2*48i)/(5*f) + (a^2*c^2*exp(e*1i + f*x*1i)*368i)/(105*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) - (((a^2*c^2*16i)/(3*f) + (a^2*c^2*exp(e*1i + f*x*1i)*208i)/(315*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1))","B"
73,1,384,85,6.139112,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^2\,c\,2{}\mathrm{i}}{f}+\frac{a^2\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,18{}\mathrm{i}}{35\,f}\right)}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^2\,c\,16{}\mathrm{i}}{7\,f}-\frac{a^2\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,16{}\mathrm{i}}{7\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^2\,c\,4{}\mathrm{i}}{f}-\frac{a^2\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,44{}\mathrm{i}}{35\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^2\,c\,24{}\mathrm{i}}{5\,f}-\frac{a^2\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,72{}\mathrm{i}}{35\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^2*c*2i)/f + (a^2*c*exp(e*1i + f*x*1i)*18i)/(35*f)))/(exp(e*1i + f*x*1i) - 1) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^2*c*16i)/(7*f) - (a^2*c*exp(e*1i + f*x*1i)*16i)/(7*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^2*c*4i)/f - (a^2*c*exp(e*1i + f*x*1i)*44i)/(35*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^2*c*24i)/(5*f) - (a^2*c*exp(e*1i + f*x*1i)*72i)/(35*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2)","B"
74,1,93,41,5.725026,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{2\,a^2\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^5\,\sqrt{c-\frac{c}{\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}}}}{5\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(2*a^2*(exp(e*1i + f*x*1i)*1i + 1i)^5*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/(5*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2)","B"
75,0,-1,117,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
76,0,-1,113,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
77,0,-1,117,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)), x)","F"
78,0,-1,164,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(7/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c - c/cos(e + f*x))^(7/2)), x)","F"
79,1,710,171,14.671320,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(7/2))/cos(e + f*x),x)","\frac{\left(\frac{a^3\,c^3\,2{}\mathrm{i}}{f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1670{}\mathrm{i}}{3003\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}+\frac{\left(\frac{a^3\,c^3\,128{}\mathrm{i}}{13\,f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,128{}\mathrm{i}}{13\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{\left(\frac{a^3\,c^3\,384{}\mathrm{i}}{11\,f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,3456{}\mathrm{i}}{143\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{\left(\frac{a^3\,c^3\,8{}\mathrm{i}}{f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,2168{}\mathrm{i}}{3003\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\left(\frac{a^3\,c^3\,24{}\mathrm{i}}{f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,5464{}\mathrm{i}}{1001\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\left(\frac{a^3\,c^3\,160{}\mathrm{i}}{3\,f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,11360{}\mathrm{i}}{429\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\left(\frac{a^3\,c^3\,320{}\mathrm{i}}{7\,f}+\frac{a^3\,c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,46400{}\mathrm{i}}{3003\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(((a^3*c^3*2i)/f + (a^3*c^3*exp(e*1i + f*x*1i)*1670i)/(3003*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/(exp(e*1i + f*x*1i) - 1) + (((a^3*c^3*128i)/(13*f) + (a^3*c^3*exp(e*1i + f*x*1i)*128i)/(13*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^6) - (((a^3*c^3*384i)/(11*f) + (a^3*c^3*exp(e*1i + f*x*1i)*3456i)/(143*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^5) - (((a^3*c^3*8i)/f + (a^3*c^3*exp(e*1i + f*x*1i)*2168i)/(3003*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) + (((a^3*c^3*24i)/f + (a^3*c^3*exp(e*1i + f*x*1i)*5464i)/(1001*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) + (((a^3*c^3*160i)/(3*f) + (a^3*c^3*exp(e*1i + f*x*1i)*11360i)/(429*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) - (((a^3*c^3*320i)/(7*f) + (a^3*c^3*exp(e*1i + f*x*1i)*46400i)/(3003*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3)","B"
80,1,607,128,13.711137,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{\left(\frac{a^3\,c^2\,2{}\mathrm{i}}{f}+\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,302{}\mathrm{i}}{693\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}-\frac{\left(\frac{a^3\,c^2\,64{}\mathrm{i}}{11\,f}-\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,64{}\mathrm{i}}{11\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{\left(\frac{a^3\,c^2\,16{}\mathrm{i}}{f}-\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,944{}\mathrm{i}}{231\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\left(\frac{a^3\,c^2\,160{}\mathrm{i}}{9\,f}-\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1120{}\mathrm{i}}{99\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\left(\frac{a^3\,c^2\,20{}\mathrm{i}}{3\,f}-\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,844{}\mathrm{i}}{693\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}-\frac{\left(\frac{a^3\,c^2\,160{}\mathrm{i}}{7\,f}-\frac{a^3\,c^2\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,6880{}\mathrm{i}}{693\,f}\right)\,\sqrt{c-\frac{c}{\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}}}}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(((a^3*c^2*2i)/f + (a^3*c^2*exp(e*1i + f*x*1i)*302i)/(693*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/(exp(e*1i + f*x*1i) - 1) - (((a^3*c^2*64i)/(11*f) - (a^3*c^2*exp(e*1i + f*x*1i)*64i)/(11*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^5) + (((a^3*c^2*16i)/f - (a^3*c^2*exp(e*1i + f*x*1i)*944i)/(231*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) + (((a^3*c^2*160i)/(9*f) - (a^3*c^2*exp(e*1i + f*x*1i)*1120i)/(99*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) - (((a^3*c^2*20i)/(3*f) - (a^3*c^2*exp(e*1i + f*x*1i)*844i)/(693*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) - (((a^3*c^2*160i)/(7*f) - (a^3*c^2*exp(e*1i + f*x*1i)*6880i)/(693*f))*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3)","B"
81,1,471,85,9.193769,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,c\,2{}\mathrm{i}}{f}+\frac{a^3\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,22{}\mathrm{i}}{63\,f}\right)}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,c\,32{}\mathrm{i}}{9\,f}+\frac{a^3\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,32{}\mathrm{i}}{9\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,c\,8{}\mathrm{i}}{3\,f}-\frac{a^3\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,200{}\mathrm{i}}{63\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,c\,32{}\mathrm{i}}{7\,f}+\frac{a^3\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,608{}\mathrm{i}}{63\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a^3\,c\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,\sqrt{c-\frac{c}{\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}}}\,160{}\mathrm{i}}{21\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*c*2i)/f + (a^3*c*exp(e*1i + f*x*1i)*22i)/(63*f)))/(exp(e*1i + f*x*1i) - 1) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*c*32i)/(9*f) + (a^3*c*exp(e*1i + f*x*1i)*32i)/(9*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^4) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*c*8i)/(3*f) - (a^3*c*exp(e*1i + f*x*1i)*200i)/(63*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*c*32i)/(7*f) + (a^3*c*exp(e*1i + f*x*1i)*608i)/(63*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3) - (a^3*c*exp(e*1i + f*x*1i)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*160i)/(21*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2)","B"
82,1,375,41,5.615906,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,2{}\mathrm{i}}{f}+\frac{a^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,2{}\mathrm{i}}{7\,f}\right)}{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1}-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,8{}\mathrm{i}}{f}+\frac{a^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,8{}\mathrm{i}}{7\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,4{}\mathrm{i}}{f}+\frac{a^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,36{}\mathrm{i}}{7\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{a^3\,16{}\mathrm{i}}{7\,f}-\frac{a^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,16{}\mathrm{i}}{7\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*2i)/f + (a^3*exp(e*1i + f*x*1i)*2i)/(7*f)))/(exp(e*1i + f*x*1i) - 1) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*8i)/f + (a^3*exp(e*1i + f*x*1i)*8i)/(7*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^2) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*4i)/f + (a^3*exp(e*1i + f*x*1i)*36i)/(7*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)) + ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((a^3*16i)/(7*f) - (a^3*exp(e*1i + f*x*1i)*16i)/(7*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*2i + f*x*2i) + 1)^3)","B"
83,0,-1,164,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
84,0,-1,168,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
85,0,-1,174,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)), x)","F"
86,1,164,142,6.330734,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","-\frac{2\,c^3\,\sqrt{c-\frac{c}{\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}}}\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,86{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,245{}\mathrm{i}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,180{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,245{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,86{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,91{}\mathrm{i}+91{}\mathrm{i}\right)}{5\,a\,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)}^2}","Not used",1,"-(2*c^3*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*(exp(e*1i + f*x*1i)*86i + exp(e*2i + f*x*2i)*245i + exp(e*3i + f*x*3i)*180i + exp(e*4i + f*x*4i)*245i + exp(e*5i + f*x*5i)*86i + exp(e*6i + f*x*6i)*91i + 91i))/(5*a*f*(exp(e*2i + f*x*2i) - 1)*(exp(e*2i + f*x*2i) + 1)^2)","B"
87,1,125,108,4.228862,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{2\,c^2\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(2\,\sin\left(e+f\,x\right)-44\,\sin\left(2\,e+2\,f\,x\right)+25\,\sin\left(3\,e+3\,f\,x\right)-26\,\sin\left(4\,e+4\,f\,x\right)+23\,\sin\left(5\,e+5\,f\,x\right)\right)}{3\,a\,f\,\left(\cos\left(3\,e+3\,f\,x\right)-2\,\cos\left(e+f\,x\right)-2\,\cos\left(4\,e+4\,f\,x\right)+\cos\left(5\,e+5\,f\,x\right)+2\right)}","Not used",1,"(2*c^2*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(2*sin(e + f*x) - 44*sin(2*e + 2*f*x) + 25*sin(3*e + 3*f*x) - 26*sin(4*e + 4*f*x) + 23*sin(5*e + 5*f*x)))/(3*a*f*(cos(3*e + 3*f*x) - 2*cos(e + f*x) - 2*cos(4*e + 4*f*x) + cos(5*e + 5*f*x) + 2))","B"
88,1,77,72,2.367431,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","-\frac{c\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(2\,\sin\left(e+f\,x\right)+6\,\sin\left(2\,e+2\,f\,x\right)+2\,\sin\left(3\,e+3\,f\,x\right)+3\,\sin\left(4\,e+4\,f\,x\right)\right)}{a\,f\,{\sin\left(2\,e+2\,f\,x\right)}^2}","Not used",1,"-(c*(c - c/cos(e + f*x))^(1/2)*(2*sin(e + f*x) + 6*sin(2*e + 2*f*x) + 2*sin(3*e + 3*f*x) + 3*sin(4*e + 4*f*x)))/(a*f*sin(2*e + 2*f*x)^2)","B"
89,1,40,39,1.769961,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","-\frac{\sin\left(2\,e+2\,f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}}{a\,f\,{\sin\left(e+f\,x\right)}^2}","Not used",1,"-(sin(2*e + 2*f*x)*(c - c/cos(e + f*x))^(1/2))/(a*f*sin(e + f*x)^2)","B"
90,0,-1,89,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(1/2)), x)","F"
91,0,-1,122,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(3/2)), x)","F"
92,0,-1,156,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c - c/cos(e + f*x))^(5/2)), x)","F"
93,1,188,155,6.017461,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{2\,c^3\,\sqrt{c-\frac{c}{\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}}}\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,138{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,195{}\mathrm{i}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,268{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,195{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,138{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,45{}\mathrm{i}+45{}\mathrm{i}\right)}{3\,a^2\,f\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}-1\right)}","Not used",1,"(2*c^3*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*(exp(e*1i + f*x*1i)*138i + exp(e*2i + f*x*2i)*195i + exp(e*3i + f*x*3i)*268i + exp(e*4i + f*x*4i)*195i + exp(e*5i + f*x*5i)*138i + exp(e*6i + f*x*6i)*45i + 45i))/(3*a^2*f*(exp(e*1i + f*x*1i) + 1)^3*(exp(e*1i + f*x*1i) - exp(e*2i + f*x*2i) + exp(e*3i + f*x*3i) - 1))","B"
94,1,136,123,5.542196,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{2\,c^2\,\sqrt{c-\frac{c}{\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}}}\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,36{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,34{}\mathrm{i}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,36{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,11{}\mathrm{i}+11{}\mathrm{i}\right)}{3\,a^2\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}","Not used",1,"(2*c^2*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*(exp(e*1i + f*x*1i)*36i + exp(e*2i + f*x*2i)*34i + exp(e*3i + f*x*3i)*36i + exp(e*4i + f*x*4i)*11i + 11i))/(3*a^2*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3)","B"
95,1,134,89,5.232860,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{2\,c\,\sqrt{c-\frac{c}{\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}}}\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,6{}\mathrm{i}+{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,6{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}{3\,a^2\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}","Not used",1,"(2*c*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*(exp(e*1i + f*x*1i)*6i + exp(e*2i + f*x*2i)*2i + exp(e*3i + f*x*3i)*6i + exp(e*4i + f*x*4i)*1i + 1i))/(3*a^2*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3)","B"
96,1,94,41,5.295204,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^2\,\sqrt{c-\frac{c}{\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}}}\,2{}\mathrm{i}}{3\,a^2\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}","Not used",1,"((exp(e*2i + f*x*2i)*1i + 1i)^2*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*2i)/(3*a^2*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3)","B"
97,0,-1,138,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(1/2)), x)","F"
98,0,-1,169,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(3/2)), x)","F"
99,0,-1,203,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^(5/2)), x)","F"
100,1,492,169,10.237930,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","-\frac{\sqrt{c-\frac{c}{\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}}}\,\left(\frac{c^3\,46{}\mathrm{i}}{5\,a^3\,f}+\frac{c^3\,{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a^3\,f}+\frac{c^3\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,46{}\mathrm{i}}{5\,a^3\,f}\right)}{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}-\frac{c^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,16{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^2}-\frac{c^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,48{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}+\frac{c^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,128{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^4}-\frac{c^3\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,64{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^5}","Not used",1,"(c^3*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*128i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^4) - (c^3*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*16i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^2) - (c^3*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*48i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3) - ((c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((c^3*46i)/(5*a^3*f) + (c^3*exp(e*1i + f*x*1i)*4i)/(a^3*f) + (c^3*exp(e*2i + f*x*2i)*46i)/(5*a^3*f)))/((exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)) - (c^3*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*64i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^5)","B"
101,1,456,135,7.312448,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","-\frac{c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,14{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}+\frac{c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,16{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^2}-\frac{c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,112{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}+\frac{c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,64{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^4}-\frac{c^2\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,32{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^5}","Not used",1,"(c^2*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*16i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^2) - (c^2*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*14i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)) - (c^2*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*112i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3) + (c^2*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*64i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^4) - (c^2*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*32i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^5)","B"
102,1,446,88,7.719061,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","-\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,2{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}+\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,28{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^2}-\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,76{}\mathrm{i}}{15\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}+\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,32{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^4}-\frac{c\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,16{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^5}","Not used",1,"(c*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*28i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^2) - (c*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*2i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)) - (c*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*76i)/(15*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3) + (c*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*32i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^4) - (c*(exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*16i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^5)","B"
103,1,441,41,7.590482,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","-\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,2{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}+\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,8{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^2}-\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,16{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^3}+\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,16{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^4}-\frac{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{c-\frac{c}{\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}}}\,8{}\mathrm{i}}{5\,a^3\,f\,\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}+1\right)}^5}","Not used",1,"((exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*8i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^2) - ((exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*2i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)) - ((exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*16i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^3) + ((exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*16i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^4) - ((exp(e*2i + f*x*2i) + 1)*(c - c/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*8i)/(5*a^3*f*(exp(e*1i + f*x*1i) - 1)*(exp(e*1i + f*x*1i) + 1)^5)","B"
104,0,-1,181,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(1/2)), x)","F"
105,0,-1,212,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(3/2)), x)","F"
106,0,-1,246,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^(5/2)), x)","F"
107,1,136,43,3.800072,"\text{Not used}","int(((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{2\,c^2\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(10\,\sin\left(e+f\,x\right)-12\,\sin\left(2\,e+2\,f\,x\right)+13\,\sin\left(3\,e+3\,f\,x\right)-6\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(5\,e+5\,f\,x\right)\right)}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-2\,\cos\left(4\,e+4\,f\,x\right)-\cos\left(6\,e+6\,f\,x\right)+2\right)}","Not used",1,"(2*c^2*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(10*sin(e + f*x) - 12*sin(2*e + 2*f*x) + 13*sin(3*e + 3*f*x) - 6*sin(4*e + 4*f*x) + 3*sin(5*e + 5*f*x)))/(3*f*(cos(2*e + 2*f*x) - 2*cos(4*e + 4*f*x) - cos(6*e + 6*f*x) + 2))","B"
108,1,78,43,2.636640,"\text{Not used}","int(((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","\frac{c\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\left(\sin\left(e+f\,x\right)-\sin\left(2\,e+2\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)}{f\,{\sin\left(2\,e+2\,f\,x\right)}^2}","Not used",1,"(c*(c - c/cos(e + f*x))^(1/2)*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*(sin(e + f*x) - sin(2*e + 2*f*x) + sin(3*e + 3*f*x)))/(f*sin(2*e + 2*f*x)^2)","B"
109,1,47,41,1.941971,"\text{Not used}","int(((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}}{f\,\sin\left(e+f\,x\right)}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2))/(f*sin(e + f*x))","B"
110,0,-1,51,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
111,1,118,42,2.996212,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","-\frac{2\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(\sin\left(e+f\,x\right)-2\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)}{c^2\,f\,\left(4\,\cos\left(e+f\,x\right)+4\,\cos\left(2\,e+2\,f\,x\right)-4\,\cos\left(3\,e+3\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)-5\right)}","Not used",1,"-(2*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(sin(e + f*x) - 2*sin(2*e + 2*f*x) + sin(3*e + 3*f*x)))/(c^2*f*(4*cos(e + f*x) + 4*cos(2*e + 2*f*x) - 4*cos(3*e + 3*f*x) + cos(4*e + 4*f*x) - 5))","B"
112,1,203,43,6.610219,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^3\,f}+\frac{{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^3\,f}-\frac{\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^3\,f}\right)}{{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,10{}\mathrm{i}-{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,8{}\mathrm{i}+{\mathrm{e}}^{e\,3{}\mathrm{i}+f\,x\,3{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((exp(e*3i + f*x*3i)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^3*f) + (exp(e*3i + f*x*3i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^3*f) - (cos(e + f*x)*exp(e*3i + f*x*3i)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^3*f)))/(exp(e*3i + f*x*3i)*sin(e + f*x)*10i - exp(e*3i + f*x*3i)*sin(2*e + 2*f*x)*8i + exp(e*3i + f*x*3i)*sin(3*e + 3*f*x)*2i)","B"
113,1,294,89,6.149206,"\text{Not used}","int(((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(7/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,c^3\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,28{}\mathrm{i}}{5\,f}-\frac{a\,c^3\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,8{}\mathrm{i}}{f}+\frac{a\,c^3\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,16{}\mathrm{i}}{f}-\frac{a\,c^3\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,8{}\mathrm{i}}{f}+\frac{a\,c^3\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}\right)}{{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,4{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,6{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*c^3*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*28i)/(5*f) - (a*c^3*cos(e + f*x)*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*8i)/f + (a*c^3*exp(e*5i + f*x*5i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*16i)/f - (a*c^3*exp(e*5i + f*x*5i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*8i)/f + (a*c^3*exp(e*5i + f*x*5i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f))/(exp(e*5i + f*x*5i)*sin(e + f*x)*4i + exp(e*5i + f*x*5i)*sin(3*e + 3*f*x)*6i + exp(e*5i + f*x*5i)*sin(5*e + 5*f*x)*2i)","B"
114,1,195,89,5.499430,"\text{Not used}","int(((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,c^2\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,20{}\mathrm{i}}{3\,f}-\frac{a\,c^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}+\frac{a\,c^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}\right)}{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*c^2*cos(e + f*x)*exp(e*4i + f*x*4i)*(a + a/cos(e + f*x))^(1/2)*20i)/(3*f) - (a*c^2*exp(e*4i + f*x*4i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f + (a*c^2*exp(e*4i + f*x*4i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f))/(exp(e*4i + f*x*4i)*sin(2*e + 2*f*x)*4i + exp(e*4i + f*x*4i)*sin(4*e + 4*f*x)*2i)","B"
115,1,108,89,3.144845,"\text{Not used}","int(((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","\frac{2\,a\,c\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\left(2\,\sin\left(e+f\,x\right)+5\,\sin\left(3\,e+3\,f\,x\right)+3\,\sin\left(5\,e+5\,f\,x\right)\right)}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-2\,\cos\left(4\,e+4\,f\,x\right)-\cos\left(6\,e+6\,f\,x\right)+2\right)}","Not used",1,"(2*a*c*(c - c/cos(e + f*x))^(1/2)*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*(2*sin(e + f*x) + 5*sin(3*e + 3*f*x) + 3*sin(5*e + 5*f*x)))/(3*f*(cos(2*e + 2*f*x) - 2*cos(4*e + 4*f*x) - cos(6*e + 6*f*x) + 2))","B"
116,1,76,43,2.586804,"\text{Not used}","int(((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{a\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\left(\sin\left(e+f\,x\right)+\sin\left(2\,e+2\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)}{f\,{\sin\left(2\,e+2\,f\,x\right)}^2}","Not used",1,"(a*(c - c/cos(e + f*x))^(1/2)*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*(sin(e + f*x) + sin(2*e + 2*f*x) + sin(3*e + 3*f*x)))/(f*sin(2*e + 2*f*x)^2)","B"
117,0,-1,95,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
118,0,-1,99,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
119,1,165,42,4.830014,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","-\frac{2\,a\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(6\,\sin\left(e+f\,x\right)-8\,\sin\left(2\,e+2\,f\,x\right)+7\,\sin\left(3\,e+3\,f\,x\right)-4\,\sin\left(4\,e+4\,f\,x\right)+\sin\left(5\,e+5\,f\,x\right)\right)}{c^3\,f\,\left(48\,\cos\left(e+f\,x\right)+15\,\cos\left(2\,e+2\,f\,x\right)-40\,\cos\left(3\,e+3\,f\,x\right)+26\,\cos\left(4\,e+4\,f\,x\right)-8\,\cos\left(5\,e+5\,f\,x\right)+\cos\left(6\,e+6\,f\,x\right)-42\right)}","Not used",1,"-(2*a*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(6*sin(e + f*x) - 8*sin(2*e + 2*f*x) + 7*sin(3*e + 3*f*x) - 4*sin(4*e + 4*f*x) + sin(5*e + 5*f*x)))/(c^3*f*(48*cos(e + f*x) + 15*cos(2*e + 2*f*x) - 40*cos(3*e + 3*f*x) + 26*cos(4*e + 4*f*x) - 8*cos(5*e + 5*f*x) + cos(6*e + 6*f*x) - 42))","B"
120,1,273,88,7.030779,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(7/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^4\,f}-\frac{a\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,44{}\mathrm{i}}{3\,c^4\,f}+\frac{a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^4\,f}-\frac{a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^4\,f}\right)}{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,28{}\mathrm{i}-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,28{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,12{}\mathrm{i}-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*exp(e*4i + f*x*4i)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^4*f) - (a*cos(e + f*x)*exp(e*4i + f*x*4i)*(a + a/cos(e + f*x))^(1/2)*44i)/(3*c^4*f) + (a*exp(e*4i + f*x*4i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^4*f) - (a*exp(e*4i + f*x*4i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^4*f)))/(exp(e*4i + f*x*4i)*sin(e + f*x)*28i - exp(e*4i + f*x*4i)*sin(2*e + 2*f*x)*28i + exp(e*4i + f*x*4i)*sin(3*e + 3*f*x)*12i - exp(e*4i + f*x*4i)*sin(4*e + 4*f*x)*2i)","B"
121,1,340,92,7.620396,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(9/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,68{}\mathrm{i}}{3\,c^5\,f}-\frac{a\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,88{}\mathrm{i}}{3\,c^5\,f}+\frac{a\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,80{}\mathrm{i}}{3\,c^5\,f}-\frac{a\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,8{}\mathrm{i}}{c^5\,f}+\frac{a\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^5\,f}\right)}{{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,84{}\mathrm{i}-{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,96{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,54{}\mathrm{i}-{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,16{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*68i)/(3*c^5*f) - (a*cos(e + f*x)*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*88i)/(3*c^5*f) + (a*exp(e*5i + f*x*5i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*80i)/(3*c^5*f) - (a*exp(e*5i + f*x*5i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*8i)/(c^5*f) + (a*exp(e*5i + f*x*5i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^5*f)))/(exp(e*5i + f*x*5i)*sin(e + f*x)*84i - exp(e*5i + f*x*5i)*sin(2*e + 2*f*x)*96i + exp(e*5i + f*x*5i)*sin(3*e + 3*f*x)*54i - exp(e*5i + f*x*5i)*sin(4*e + 4*f*x)*16i + exp(e*5i + f*x*5i)*sin(5*e + 5*f*x)*2i)","B"
122,1,407,92,7.679847,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(11/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,60{}\mathrm{i}}{c^6\,f}-\frac{a\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,608{}\mathrm{i}}{5\,c^6\,f}+\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,72{}\mathrm{i}}{c^6\,f}-\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,44{}\mathrm{i}}{c^6\,f}+\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,12{}\mathrm{i}}{c^6\,f}-\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(5\,e+5\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^6\,f}\right)}{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,264{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,330{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,220{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,88{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,20{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(6\,e+6\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*60i)/(c^6*f) - (a*cos(e + f*x)*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*608i)/(5*c^6*f) + (a*exp(e*6i + f*x*6i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*72i)/(c^6*f) - (a*exp(e*6i + f*x*6i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*44i)/(c^6*f) + (a*exp(e*6i + f*x*6i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*12i)/(c^6*f) - (a*exp(e*6i + f*x*6i)*cos(5*e + 5*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^6*f)))/(exp(e*6i + f*x*6i)*sin(e + f*x)*264i - exp(e*6i + f*x*6i)*sin(2*e + 2*f*x)*330i + exp(e*6i + f*x*6i)*sin(3*e + 3*f*x)*220i - exp(e*6i + f*x*6i)*sin(4*e + 4*f*x)*88i + exp(e*6i + f*x*6i)*sin(5*e + 5*f*x)*20i - exp(e*6i + f*x*6i)*sin(6*e + 6*f*x)*2i)","B"
123,1,307,134,6.234075,"\text{Not used}","int(((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(7/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(-\frac{a^2\,c^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,20{}\mathrm{i}}{3\,f}+\frac{a^2\,c^3\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,104{}\mathrm{i}}{5\,f}+\frac{a^2\,c^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,28{}\mathrm{i}}{3\,f}-\frac{a^2\,c^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}+\frac{a^2\,c^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(5\,e+5\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}\right)}{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,8{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(6\,e+6\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a^2*c^3*cos(e + f*x)*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*104i)/(5*f) - (a^2*c^3*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*20i)/(3*f) + (a^2*c^3*exp(e*6i + f*x*6i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*28i)/(3*f) - (a^2*c^3*exp(e*6i + f*x*6i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f + (a^2*c^3*exp(e*6i + f*x*6i)*cos(5*e + 5*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f))/(exp(e*6i + f*x*6i)*sin(2*e + 2*f*x)*10i + exp(e*6i + f*x*6i)*sin(4*e + 4*f*x)*8i + exp(e*6i + f*x*6i)*sin(6*e + 6*f*x)*2i)","B"
124,1,215,134,5.609044,"\text{Not used}","int(((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,c^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,116{}\mathrm{i}}{15\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,16{}\mathrm{i}}{3\,f}+\frac{a^2\,c^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}\right)}{{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,4{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,6{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a^2*c^2*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*116i)/(15*f) + (a^2*c^2*exp(e*5i + f*x*5i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*16i)/(3*f) + (a^2*c^2*exp(e*5i + f*x*5i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f))/(exp(e*5i + f*x*5i)*sin(e + f*x)*4i + exp(e*5i + f*x*5i)*sin(3*e + 3*f*x)*6i + exp(e*5i + f*x*5i)*sin(5*e + 5*f*x)*2i)","B"
125,1,195,89,5.442253,"\text{Not used}","int(((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,c\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,20{}\mathrm{i}}{3\,f}+\frac{a^2\,c\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}+\frac{a^2\,c\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{f}\right)}{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a^2*c*cos(e + f*x)*exp(e*4i + f*x*4i)*(a + a/cos(e + f*x))^(1/2)*20i)/(3*f) + (a^2*c*exp(e*4i + f*x*4i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f + (a^2*c*exp(e*4i + f*x*4i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/f))/(exp(e*4i + f*x*4i)*sin(2*e + 2*f*x)*4i + exp(e*4i + f*x*4i)*sin(4*e + 4*f*x)*2i)","B"
126,1,136,43,3.610181,"\text{Not used}","int(((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\frac{2\,a^2\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(10\,\sin\left(e+f\,x\right)+12\,\sin\left(2\,e+2\,f\,x\right)+13\,\sin\left(3\,e+3\,f\,x\right)+6\,\sin\left(4\,e+4\,f\,x\right)+3\,\sin\left(5\,e+5\,f\,x\right)\right)}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-2\,\cos\left(4\,e+4\,f\,x\right)-\cos\left(6\,e+6\,f\,x\right)+2\right)}","Not used",1,"(2*a^2*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(10*sin(e + f*x) + 12*sin(2*e + 2*f*x) + 13*sin(3*e + 3*f*x) + 6*sin(4*e + 4*f*x) + 3*sin(5*e + 5*f*x)))/(3*f*(cos(2*e + 2*f*x) - 2*cos(4*e + 4*f*x) - cos(6*e + 6*f*x) + 2))","B"
127,0,-1,141,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
128,0,-1,145,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
129,0,-1,145,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)), x)","F"
130,1,199,42,6.039922,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(7/2)),x)","-\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,52{}\mathrm{i}}{3\,c^4\,f}+\frac{a^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^4\,f}\right)}{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,28{}\mathrm{i}-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,28{}\mathrm{i}+{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,12{}\mathrm{i}-{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"-((c - c/cos(e + f*x))^(1/2)*((a^2*cos(e + f*x)*exp(e*4i + f*x*4i)*(a + a/cos(e + f*x))^(1/2)*52i)/(3*c^4*f) + (a^2*exp(e*4i + f*x*4i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^4*f)))/(exp(e*4i + f*x*4i)*sin(e + f*x)*28i - exp(e*4i + f*x*4i)*sin(2*e + 2*f*x)*28i + exp(e*4i + f*x*4i)*sin(3*e + 3*f*x)*12i - exp(e*4i + f*x*4i)*sin(4*e + 4*f*x)*2i)","B"
131,1,350,88,6.785394,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(9/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,68{}\mathrm{i}}{3\,c^5\,f}-\frac{a^2\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,52{}\mathrm{i}}{3\,c^5\,f}+\frac{a^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,80{}\mathrm{i}}{3\,c^5\,f}-\frac{a^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^5\,f}+\frac{a^2\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^5\,f}\right)}{{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,84{}\mathrm{i}-{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,96{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,54{}\mathrm{i}-{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,16{}\mathrm{i}+{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a^2*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*68i)/(3*c^5*f) - (a^2*cos(e + f*x)*exp(e*5i + f*x*5i)*(a + a/cos(e + f*x))^(1/2)*52i)/(3*c^5*f) + (a^2*exp(e*5i + f*x*5i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*80i)/(3*c^5*f) - (a^2*exp(e*5i + f*x*5i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^5*f) + (a^2*exp(e*5i + f*x*5i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^5*f)))/(exp(e*5i + f*x*5i)*sin(e + f*x)*84i - exp(e*5i + f*x*5i)*sin(2*e + 2*f*x)*96i + exp(e*5i + f*x*5i)*sin(3*e + 3*f*x)*54i - exp(e*5i + f*x*5i)*sin(4*e + 4*f*x)*16i + exp(e*5i + f*x*5i)*sin(5*e + 5*f*x)*2i)","B"
132,1,419,133,7.168605,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(cos(e + f*x)*(c - c/cos(e + f*x))^(11/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,136{}\mathrm{i}}{3\,c^6\,f}-\frac{a^2\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,1688{}\mathrm{i}}{15\,c^6\,f}+\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,160{}\mathrm{i}}{3\,c^6\,f}-\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,124{}\mathrm{i}}{3\,c^6\,f}+\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,8{}\mathrm{i}}{c^6\,f}-\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(5\,e+5\,f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,4{}\mathrm{i}}{c^6\,f}\right)}{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(e+f\,x\right)\,264{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(2\,e+2\,f\,x\right)\,330{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(3\,e+3\,f\,x\right)\,220{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(4\,e+4\,f\,x\right)\,88{}\mathrm{i}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(5\,e+5\,f\,x\right)\,20{}\mathrm{i}-{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\sin\left(6\,e+6\,f\,x\right)\,2{}\mathrm{i}}","Not used",1,"((c - c/cos(e + f*x))^(1/2)*((a^2*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*136i)/(3*c^6*f) - (a^2*cos(e + f*x)*exp(e*6i + f*x*6i)*(a + a/cos(e + f*x))^(1/2)*1688i)/(15*c^6*f) + (a^2*exp(e*6i + f*x*6i)*cos(2*e + 2*f*x)*(a + a/cos(e + f*x))^(1/2)*160i)/(3*c^6*f) - (a^2*exp(e*6i + f*x*6i)*cos(3*e + 3*f*x)*(a + a/cos(e + f*x))^(1/2)*124i)/(3*c^6*f) + (a^2*exp(e*6i + f*x*6i)*cos(4*e + 4*f*x)*(a + a/cos(e + f*x))^(1/2)*8i)/(c^6*f) - (a^2*exp(e*6i + f*x*6i)*cos(5*e + 5*f*x)*(a + a/cos(e + f*x))^(1/2)*4i)/(c^6*f)))/(exp(e*6i + f*x*6i)*sin(e + f*x)*264i - exp(e*6i + f*x*6i)*sin(2*e + 2*f*x)*330i + exp(e*6i + f*x*6i)*sin(3*e + 3*f*x)*220i - exp(e*6i + f*x*6i)*sin(4*e + 4*f*x)*88i + exp(e*6i + f*x*6i)*sin(5*e + 5*f*x)*20i - exp(e*6i + f*x*6i)*sin(6*e + 6*f*x)*2i)","B"
133,0,-1,139,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)), x)","F"
134,0,-1,94,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)), x)","F"
135,0,-1,50,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)),x)","\int \frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)), x)","F"
136,0,-1,47,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
137,0,-1,95,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
138,0,-1,140,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
139,0,-1,142,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)), x)","F"
140,0,-1,95,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)), x)","F"
141,1,50,42,2.548405,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)),x)","\frac{\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}}{a\,f\,\sin\left(e+f\,x\right)\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}}","Not used",1,"(c - c/cos(e + f*x))^(1/2)/(a*f*sin(e + f*x)*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2))","B"
142,0,-1,95,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
143,0,-1,104,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
144,0,-1,146,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
145,0,-1,145,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(5/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)), x)","F"
146,1,119,42,3.511721,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)),x)","-\frac{2\,c\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(\sin\left(e+f\,x\right)+2\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)}{a^2\,f\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\left(4\,\cos\left(2\,e+2\,f\,x\right)-4\,\cos\left(e+f\,x\right)+4\,\cos\left(3\,e+3\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)-5\right)}","Not used",1,"-(2*c*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(sin(e + f*x) + 2*sin(2*e + 2*f*x) + sin(3*e + 3*f*x)))/(a^2*f*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*(4*cos(2*e + 2*f*x) - 4*cos(e + f*x) + 4*cos(3*e + 3*f*x) + cos(4*e + 4*f*x) - 5))","B"
147,1,120,43,3.247670,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)),x)","-\frac{2\,\left(3\,\sin\left(e+f\,x\right)+3\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}}{a^2\,f\,\sqrt{\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}}\,\left(4\,\cos\left(2\,e+2\,f\,x\right)-4\,\cos\left(e+f\,x\right)+4\,\cos\left(3\,e+3\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)-5\right)}","Not used",1,"-(2*(3*sin(e + f*x) + 3*sin(2*e + 2*f*x) + sin(3*e + 3*f*x))*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2))/(a^2*f*((a*(cos(e + f*x) + 1))/cos(e + f*x))^(1/2)*(4*cos(2*e + 2*f*x) - 4*cos(e + f*x) + 4*cos(3*e + 3*f*x) + cos(4*e + 4*f*x) - 5))","B"
148,0,-1,140,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
149,0,-1,146,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
150,0,-1,160,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
151,0,-1,101,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^n)/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^n)/cos(e + f*x), x)","F"
152,0,-1,92,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^2)/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^2)/cos(e + f*x), x)","F"
153,0,-1,90,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x)))/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x)))/cos(e + f*x), x)","F"
154,0,-1,90,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))),x)","-\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{c-c\,\cos\left(e+f\,x\right)} \,d x","Not used",1,"-int((a + a/cos(e + f*x))^m/(c - c*cos(e + f*x)), x)","F"
155,0,-1,92,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^2),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^2), x)","F"
156,0,-1,160,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(5/2))/cos(e + f*x), x)","F"
157,1,154,100,3.591937,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(3/2))/cos(e + f*x),x)","-\frac{2\,c\,{\left(\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}\right)}^m\,\sqrt{\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}}\,\left(5\,\sin\left(e+f\,x\right)-2\,\sin\left(2\,e+2\,f\,x\right)+5\,\sin\left(3\,e+3\,f\,x\right)+2\,m\,\sin\left(e+f\,x\right)-4\,m\,\sin\left(2\,e+2\,f\,x\right)+2\,m\,\sin\left(3\,e+3\,f\,x\right)\right)}{f\,\left(4\,m^2+8\,m+3\right)\,\left(3\,\cos\left(e+f\,x\right)-2\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(3\,e+3\,f\,x\right)-2\right)}","Not used",1,"-(2*c*((a*(cos(e + f*x) + 1))/cos(e + f*x))^m*((c*(cos(e + f*x) - 1))/cos(e + f*x))^(1/2)*(5*sin(e + f*x) - 2*sin(2*e + 2*f*x) + 5*sin(3*e + 3*f*x) + 2*m*sin(e + f*x) - 4*m*sin(2*e + 2*f*x) + 2*m*sin(3*e + 3*f*x)))/(f*(8*m + 4*m^2 + 3)*(3*cos(e + f*x) - 2*cos(2*e + 2*f*x) + cos(3*e + 3*f*x) - 2))","B"
158,0,-1,46,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(1/2))/cos(e + f*x), x)","F"
159,0,-1,69,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{\cos\left(e+f\,x\right)\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(1/2)), x)","F"
160,0,-1,74,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(3/2)), x)","F"
161,0,-1,74,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(5/2)), x)","F"
162,1,290,169,10.645996,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(m + 3)),x)","-\frac{\left(\cos\left(3\,e+3\,f\,x\right)-\sin\left(3\,e+3\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(\frac{\sin\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,\left(\cos\left(3\,e+3\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(4\,m^2+12\,m+15\right)\,2{}\mathrm{i}}{f\,\left(m^3\,8{}\mathrm{i}+m^2\,36{}\mathrm{i}+m\,46{}\mathrm{i}+15{}\mathrm{i}\right)}-\frac{\sin\left(2\,e+2\,f\,x\right)\,\left(8\,m+12\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,\left(\cos\left(3\,e+3\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{f\,\left(m^3\,8{}\mathrm{i}+m^2\,36{}\mathrm{i}+m\,46{}\mathrm{i}+15{}\mathrm{i}\right)}+\frac{\sin\left(3\,e+3\,f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,\left(\cos\left(3\,e+3\,f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(4\,m^2+12\,m+7\right)\,2{}\mathrm{i}}{f\,\left(m^3\,8{}\mathrm{i}+m^2\,36{}\mathrm{i}+m\,46{}\mathrm{i}+15{}\mathrm{i}\right)}\right)}{8\,{\cos\left(e+f\,x\right)}^3\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{m+3}}","Not used",1,"-((cos(3*e + 3*f*x) - sin(3*e + 3*f*x)*1i)*((sin(e + f*x)*(a + a/cos(e + f*x))^m*(cos(3*e + 3*f*x) + sin(3*e + 3*f*x)*1i)*(12*m + 4*m^2 + 15)*2i)/(f*(m*46i + m^2*36i + m^3*8i + 15i)) - (sin(2*e + 2*f*x)*(8*m + 12)*(a + a/cos(e + f*x))^m*(cos(3*e + 3*f*x) + sin(3*e + 3*f*x)*1i)*2i)/(f*(m*46i + m^2*36i + m^3*8i + 15i)) + (sin(3*e + 3*f*x)*(a + a/cos(e + f*x))^m*(cos(3*e + 3*f*x) + sin(3*e + 3*f*x)*1i)*(12*m + 4*m^2 + 7)*2i)/(f*(m*46i + m^2*36i + m^3*8i + 15i))))/(8*cos(e + f*x)^3*(c - c/cos(e + f*x))^(m + 3))","B"
163,1,145,104,8.001776,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(m + 2)),x)","\frac{\sin\left(e+f\,x\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,1{}\mathrm{i}}{f\,{\cos\left(e+f\,x\right)}^2\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{m+2}\,\left(m^2\,4{}\mathrm{i}+m\,8{}\mathrm{i}+3{}\mathrm{i}\right)}-\frac{\sin\left(2\,e+2\,f\,x\right)\,\left(2\,m+2\right)\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,1{}\mathrm{i}}{2\,f\,{\cos\left(e+f\,x\right)}^2\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{m+2}\,\left(m^2\,4{}\mathrm{i}+m\,8{}\mathrm{i}+3{}\mathrm{i}\right)}","Not used",1,"(sin(e + f*x)*(a + a/cos(e + f*x))^m*1i)/(f*cos(e + f*x)^2*(c - c/cos(e + f*x))^(m + 2)*(m*8i + m^2*4i + 3i)) - (sin(2*e + 2*f*x)*(2*m + 2)*(a + a/cos(e + f*x))^m*1i)/(2*f*cos(e + f*x)^2*(c - c/cos(e + f*x))^(m + 2)*(m*8i + m^2*4i + 3i))","B"
164,1,105,47,2.908885,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^(m + 1)),x)","-\frac{\left(\sin\left(e+f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)\,{\left(\frac{a\,\left(\cos\left(e+f\,x\right)+1\right)}{\cos\left(e+f\,x\right)}\right)}^m}{c\,f\,\left(2\,m+1\right)\,{\left(\frac{c\,\left(\cos\left(e+f\,x\right)-1\right)}{\cos\left(e+f\,x\right)}\right)}^m\,\left(3\,\cos\left(e+f\,x\right)-2\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(3\,e+3\,f\,x\right)-2\right)}","Not used",1,"-((sin(e + f*x) + sin(3*e + 3*f*x))*((a*(cos(e + f*x) + 1))/cos(e + f*x))^m)/(c*f*(2*m + 1)*((c*(cos(e + f*x) - 1))/cos(e + f*x))^m*(3*cos(e + f*x) - 2*cos(2*e + 2*f*x) + cos(3*e + 3*f*x) - 2))","B"
165,0,-1,101,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^m),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m}{\cos\left(e+f\,x\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^m} \,d x","Not used",1,"int((a + a/cos(e + f*x))^m/(cos(e + f*x)*(c - c/cos(e + f*x))^m), x)","F"
166,0,-1,99,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(1 - m))/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{1-m}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(1 - m))/cos(e + f*x), x)","F"
167,0,-1,101,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(2 - m))/cos(e + f*x),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{2-m}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^(2 - m))/cos(e + f*x), x)","F"
168,1,175,105,6.319960,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x)))/cos(e + f*x)^2,x)","\frac{-\frac{c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{2}+\frac{7\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{3}-\frac{64\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{15}+\frac{25\,c\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+\frac{c\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{2}}{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{a^3\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{2\,f}","Not used",1,"((a^3*c*tan(e/2 + (f*x)/2))/2 + (25*a^3*c*tan(e/2 + (f*x)/2)^3)/3 - (64*a^3*c*tan(e/2 + (f*x)/2)^5)/15 + (7*a^3*c*tan(e/2 + (f*x)/2)^7)/3 - (a^3*c*tan(e/2 + (f*x)/2)^9)/2)/(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)) + (a^3*c*atanh(tan(e/2 + (f*x)/2)))/(2*f)","B"
169,1,146,86,4.922574,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x)))/cos(e + f*x)^2,x)","\frac{a^2\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}-\frac{\frac{c\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}-\frac{11\,c\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{12}+\frac{53\,c\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12}+\frac{c\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{4}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(a^2*c*atanh(tan(e/2 + (f*x)/2)))/(4*f) - ((a^2*c*tan(e/2 + (f*x)/2))/4 + (53*a^2*c*tan(e/2 + (f*x)/2)^3)/12 - (11*a^2*c*tan(e/2 + (f*x)/2)^5)/12 + (a^2*c*tan(e/2 + (f*x)/2)^7)/4)/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1))","B"
170,1,15,17,1.703678,"\text{Not used}","int(((a + a/cos(e + f*x))*(c - c/cos(e + f*x)))/cos(e + f*x)^2,x)","-\frac{a\,c\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3\,f}","Not used",1,"-(a*c*tan(e + f*x)^3)/(3*f)","B"
171,1,71,56,1.744917,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)^2*(a + a/cos(e + f*x))),x)","\frac{4\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}-\frac{2\,c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a-a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}-\frac{2\,c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f}","Not used",1,"(4*c*atanh(tan(e/2 + (f*x)/2)))/(a*f) - (2*c*tan(e/2 + (f*x)/2))/(f*(a - a*tan(e/2 + (f*x)/2)^2)) - (2*c*tan(e/2 + (f*x)/2))/(a*f)","B"
172,1,44,70,1.685800,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)^2*(a + a/cos(e + f*x))^2),x)","\frac{c\,\left(6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-6\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\right)}{3\,a^2\,f}","Not used",1,"(c*(6*tan(e/2 + (f*x)/2) - 6*atanh(tan(e/2 + (f*x)/2)) + tan(e/2 + (f*x)/2)^3))/(3*a^2*f)","B"
173,1,35,86,1.699680,"\text{Not used}","int((c - c/cos(e + f*x))/(cos(e + f*x)^2*(a + a/cos(e + f*x))^3),x)","-\frac{c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+5\right)}{30\,a^3\,f}","Not used",1,"-(c*tan(e/2 + (f*x)/2)^3*(3*tan(e/2 + (f*x)/2)^2 + 5))/(30*a^3*f)","B"
174,0,-1,140,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))*(g/cos(e + f*x))^p,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^p \,d x","Not used",1,"int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))*(g/cos(e + f*x))^p, x)","F"
175,0,-1,65,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))*(c - c/cos(e + f*x))*(g/cos(e + f*x))^p,x)","\int \left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^p \,d x","Not used",1,"int((a + a/cos(e + f*x))*(c - c/cos(e + f*x))*(g/cos(e + f*x))^p, x)","F"
176,0,-1,180,0.000000,"\text{Not used}","int(((c - c/cos(e + f*x))*(g/cos(e + f*x))^p)/(a + a/cos(e + f*x)),x)","\int \frac{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^p}{a+\frac{a}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((c - c/cos(e + f*x))*(g/cos(e + f*x))^p)/(a + a/cos(e + f*x)), x)","F"
177,0,-1,226,0.000000,"\text{Not used}","int(((c - c/cos(e + f*x))*(g/cos(e + f*x))^p)/(a + a/cos(e + f*x))^2,x)","\int \frac{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^p}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(((c - c/cos(e + f*x))*(g/cos(e + f*x))^p)/(a + a/cos(e + f*x))^2, x)","F"
178,0,-1,104,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c - c/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{c-\frac{c}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c - c/cos(e + f*x)), x)","F"
179,0,-1,81,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))),x)","-\int \frac{1}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c\,\cos\left(e+f\,x\right)-c\,\left(\frac{\cos\left(2\,e+2\,f\,x\right)}{2}+\frac{1}{2}\right)\right)} \,d x","Not used",1,"-int(1/((a + a/cos(e + f*x))^(1/2)*(c*cos(e + f*x) - c*(cos(2*e + 2*f*x)/2 + 1/2))), x)","F"
180,0,-1,140,0.000000,"\text{Not used}","int((1/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))),x)","\int \frac{{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((1/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))), x)","F"
181,0,-1,116,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(3/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(3/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))), x)","F"
182,0,-1,179,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))), x)","F"
183,0,-1,46,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\sqrt{c-\frac{c}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
184,0,-1,65,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c - d/cos(e + f*x))),x)","-\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{d-c\,\cos\left(e+f\,x\right)} \,d x","Not used",1,"-int((a + a/cos(e + f*x))^(1/2)/(d - c*cos(e + f*x)), x)","F"
185,1,361,236,5.508288,"\text{Not used}","int(((a + a/cos(e + f*x))*(c + d/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{a\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^4+16\,c^3\,d+24\,c^2\,d^2+12\,c\,d^3+3\,d^4\right)}{2\,\left(4\,c^4+8\,c^3\,d+12\,c^2\,d^2+6\,c\,d^3+\frac{3\,d^4}{2}\right)}\right)\,\left(8\,c^4+16\,c^3\,d+24\,c^2\,d^2+12\,c\,d^3+3\,d^4\right)}{4\,f}-\frac{\left(2\,a\,c^4+4\,a\,c^3\,d+6\,a\,c^2\,d^2+3\,a\,c\,d^3+\frac{3\,a\,d^4}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(-8\,a\,c^4-24\,a\,c^3\,d-20\,a\,c^2\,d^2-\frac{58\,a\,c\,d^3}{3}-\frac{13\,a\,d^4}{6}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(12\,a\,c^4+48\,a\,c^3\,d+40\,a\,c^2\,d^2+\frac{80\,a\,c\,d^3}{3}+\frac{116\,a\,d^4}{15}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-8\,a\,c^4-40\,a\,c^3\,d-44\,a\,c^2\,d^2-\frac{70\,a\,c\,d^3}{3}-\frac{19\,a\,d^4}{6}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(2\,a\,c^4+12\,a\,c^3\,d+18\,a\,c^2\,d^2+13\,a\,c\,d^3+\frac{13\,a\,d^4}{4}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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)}","Not used",1,"(a*atanh((tan(e/2 + (f*x)/2)*(12*c*d^3 + 16*c^3*d + 8*c^4 + 3*d^4 + 24*c^2*d^2))/(2*(6*c*d^3 + 8*c^3*d + 4*c^4 + (3*d^4)/2 + 12*c^2*d^2)))*(12*c*d^3 + 16*c^3*d + 8*c^4 + 3*d^4 + 24*c^2*d^2))/(4*f) - (tan(e/2 + (f*x)/2)^9*(2*a*c^4 + (3*a*d^4)/4 + 6*a*c^2*d^2 + 3*a*c*d^3 + 4*a*c^3*d) - tan(e/2 + (f*x)/2)^7*(8*a*c^4 + (13*a*d^4)/6 + 20*a*c^2*d^2 + (58*a*c*d^3)/3 + 24*a*c^3*d) - tan(e/2 + (f*x)/2)^3*(8*a*c^4 + (19*a*d^4)/6 + 44*a*c^2*d^2 + (70*a*c*d^3)/3 + 40*a*c^3*d) + tan(e/2 + (f*x)/2)^5*(12*a*c^4 + (116*a*d^4)/15 + 40*a*c^2*d^2 + (80*a*c*d^3)/3 + 48*a*c^3*d) + tan(e/2 + (f*x)/2)*(2*a*c^4 + (13*a*d^4)/4 + 18*a*c^2*d^2 + 13*a*c*d^3 + 12*a*c^3*d))/(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))","B"
186,1,255,171,5.336533,"\text{Not used}","int(((a + a/cos(e + f*x))*(c + d/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{\left(-2\,a\,c^3-3\,a\,c^2\,d-3\,a\,c\,d^2-\frac{3\,a\,d^3}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(6\,a\,c^3+15\,a\,c^2\,d+7\,a\,c\,d^2+\frac{49\,a\,d^3}{12}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-6\,a\,c^3-21\,a\,c^2\,d-13\,a\,c\,d^2-\frac{31\,a\,d^3}{12}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(2\,a\,c^3+9\,a\,c^2\,d+9\,a\,c\,d^2+\frac{13\,a\,d^3}{4}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{a\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^3+12\,c^2\,d+12\,c\,d^2+3\,d^3\right)}{2\,\left(4\,c^3+6\,c^2\,d+6\,c\,d^2+\frac{3\,d^3}{2}\right)}\right)\,\left(8\,c^3+12\,c^2\,d+12\,c\,d^2+3\,d^3\right)}{4\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(2*a*c^3 + (13*a*d^3)/4 + 9*a*c*d^2 + 9*a*c^2*d) - tan(e/2 + (f*x)/2)^7*(2*a*c^3 + (3*a*d^3)/4 + 3*a*c*d^2 + 3*a*c^2*d) - tan(e/2 + (f*x)/2)^3*(6*a*c^3 + (31*a*d^3)/12 + 13*a*c*d^2 + 21*a*c^2*d) + tan(e/2 + (f*x)/2)^5*(6*a*c^3 + (49*a*d^3)/12 + 7*a*c*d^2 + 15*a*c^2*d))/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1)) + (a*atanh((tan(e/2 + (f*x)/2)*(12*c*d^2 + 12*c^2*d + 8*c^3 + 3*d^3))/(2*(6*c*d^2 + 6*c^2*d + 4*c^3 + (3*d^3)/2)))*(12*c*d^2 + 12*c^2*d + 8*c^3 + 3*d^3))/(4*f)","B"
187,1,196,108,4.760622,"\text{Not used}","int(((a + a/cos(e + f*x))*(c + d/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{a\,\mathrm{atanh}\left(\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^2+2\,c\,d+d^2\right)}{4\,c^2+4\,c\,d+2\,d^2}\right)\,\left(2\,c^2+2\,c\,d+d^2\right)}{f}-\frac{\left(2\,a\,c^2+2\,a\,c\,d+a\,d^2\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-4\,a\,c^2-8\,a\,c\,d-\frac{4\,a\,d^2}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(2\,a\,c^2+6\,a\,c\,d+3\,a\,d^2\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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,"(a*atanh((2*tan(e/2 + (f*x)/2)*(2*c*d + 2*c^2 + d^2))/(4*c*d + 4*c^2 + 2*d^2))*(2*c*d + 2*c^2 + d^2))/f - (tan(e/2 + (f*x)/2)*(2*a*c^2 + 3*a*d^2 + 6*a*c*d) + tan(e/2 + (f*x)/2)^5*(2*a*c^2 + a*d^2 + 2*a*c*d) - tan(e/2 + (f*x)/2)^3*(4*a*c^2 + (4*a*d^2)/3 + 8*a*c*d))/(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"
188,1,111,56,2.572104,"\text{Not used}","int(((a + a/cos(e + f*x))*(c + d/cos(e + f*x)))/cos(e + f*x),x)","\frac{a\,\mathrm{atanh}\left(\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c+d\right)}{4\,c+2\,d}\right)\,\left(2\,c+d\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,a\,c+a\,d\right)-\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,c+3\,a\,d\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(a*atanh((2*tan(e/2 + (f*x)/2)*(2*c + d))/(4*c + 2*d))*(2*c + d))/f - (tan(e/2 + (f*x)/2)^3*(2*a*c + a*d) - tan(e/2 + (f*x)/2)*(2*a*c + 3*a*d))/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1))","B"
189,1,195,69,2.158658,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\frac{2\,a\,\mathrm{atanh}\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(c+d\right)}+\frac{2\,a\,\left(\mathrm{atanh}\left(\frac{d^3\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-c^3\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+c\,d^2\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-c^2\,d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c^2-d^2\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,\left(d^2+c\,d\right)}\right)\,\sqrt{c^2-d^2}+c\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\right)}{d\,f\,\left(c+d\right)}","Not used",1,"(2*a*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(f*(c + d)) + (2*a*(atanh((d^3*sin(e/2 + (f*x)/2) - c^3*sin(e/2 + (f*x)/2) + c*d^2*sin(e/2 + (f*x)/2) - c^2*d*sin(e/2 + (f*x)/2) + c*sin(e/2 + (f*x)/2)*(c^2 - d^2))/(cos(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*(c*d + d^2)))*(c^2 - d^2)^(1/2) + c*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))))/(d*f*(c + d))","B"
190,1,85,79,1.914416,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^2),x)","\frac{2\,a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(c+d\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}+\frac{2\,a\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)}{f\,{\left(c+d\right)}^{3/2}\,\sqrt{c-d}}","Not used",1,"(2*a*tan(e/2 + (f*x)/2))/(f*(c + d)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d))) + (2*a*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2)))/(f*(c + d)^(3/2)*(c - d)^(1/2))","B"
191,1,171,131,3.775828,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^3),x)","\frac{a\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)\,\left(2\,c-d\right)}{f\,{\left(c+d\right)}^{5/2}\,{\left(c-d\right)}^{3/2}}-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,a\,c-a\,d\right)}{{\left(c+d\right)}^2}-\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-3\,d\right)}{\left(c+d\right)\,\left(c-d\right)}}{f\,\left(2\,c\,d-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,c^2-2\,d^2\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(c^2-2\,c\,d+d^2\right)+c^2+d^2\right)}","Not used",1,"(a*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2))*(2*c - d))/(f*(c + d)^(5/2)*(c - d)^(3/2)) - ((tan(e/2 + (f*x)/2)^3*(2*a*c - a*d))/(c + d)^2 - (a*tan(e/2 + (f*x)/2)*(2*c - 3*d))/((c + d)*(c - d)))/(f*(2*c*d - tan(e/2 + (f*x)/2)^2*(2*c^2 - 2*d^2) + tan(e/2 + (f*x)/2)^4*(c^2 - 2*c*d + d^2) + c^2 + d^2))","B"
192,1,321,189,5.283044,"\text{Not used}","int((a + a/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^4),x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(2\,a\,c^2-2\,a\,c\,d+a\,d^2\right)}{{\left(c+d\right)}^3}+\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^2-6\,c\,d+3\,d^2\right)}{\left(c+d\right)\,\left(c^2-2\,c\,d+d^2\right)}-\frac{4\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,c^2-6\,c\,d+d^2\right)}{3\,{\left(c+d\right)}^2\,\left(c-d\right)}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-3\,c^3-3\,c^2\,d+3\,c\,d^2+3\,d^3\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(-3\,c^3+3\,c^2\,d+3\,c\,d^2-3\,d^3\right)+3\,c\,d^2+3\,c^2\,d+c^3+d^3-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)\right)}+\frac{a\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(c^2-2\,c\,d+d^2\right)}{2\,\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}\right)\,\left(2\,c^2-2\,c\,d+d^2\right)}{f\,{\left(c+d\right)}^{7/2}\,{\left(c-d\right)}^{5/2}}","Not used",1,"((tan(e/2 + (f*x)/2)^5*(2*a*c^2 + a*d^2 - 2*a*c*d))/(c + d)^3 + (a*tan(e/2 + (f*x)/2)*(2*c^2 - 6*c*d + 3*d^2))/((c + d)*(c^2 - 2*c*d + d^2)) - (4*a*tan(e/2 + (f*x)/2)^3*(3*c^2 - 6*c*d + d^2))/(3*(c + d)^2*(c - d)))/(f*(tan(e/2 + (f*x)/2)^2*(3*c*d^2 - 3*c^2*d - 3*c^3 + 3*d^3) - tan(e/2 + (f*x)/2)^4*(3*c*d^2 + 3*c^2*d - 3*c^3 - 3*d^3) + 3*c*d^2 + 3*c^2*d + c^3 + d^3 - tan(e/2 + (f*x)/2)^6*(3*c*d^2 - 3*c^2*d + c^3 - d^3))) + (a*atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(c^2 - 2*c*d + d^2))/(2*(c + d)^(1/2)*(c - d)^(5/2)))*(2*c^2 - 2*c*d + d^2))/(f*(c + d)^(7/2)*(c - d)^(5/2))","B"
193,1,484,327,5.353729,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{\left(-3\,a^2\,c^4-8\,a^2\,c^3\,d-\frac{21\,a^2\,c^2\,d^2}{2}-6\,a^2\,c\,d^3-\frac{11\,a^2\,d^4}{8}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}+\left(17\,a^2\,c^4+\frac{136\,a^2\,c^3\,d}{3}+\frac{119\,a^2\,c^2\,d^2}{2}+34\,a^2\,c\,d^3+\frac{187\,a^2\,d^4}{24}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(-38\,a^2\,c^4-112\,a^2\,c^3\,d-129\,a^2\,c^2\,d^2-\frac{428\,a^2\,c\,d^3}{5}-\frac{331\,a^2\,d^4}{20}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(42\,a^2\,c^4+144\,a^2\,c^3\,d+159\,a^2\,c^2\,d^2+\frac{468\,a^2\,c\,d^3}{5}+\frac{501\,a^2\,d^4}{20}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-23\,a^2\,c^4-\frac{280\,a^2\,c^3\,d}{3}-\frac{233\,a^2\,c^2\,d^2}{2}-62\,a^2\,c\,d^3-\frac{87\,a^2\,d^4}{8}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(5\,a^2\,c^4+24\,a^2\,c^3\,d+\frac{75\,a^2\,c^2\,d^2}{2}+26\,a^2\,c\,d^3+\frac{53\,a^2\,d^4}{8}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{a^2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(24\,c^4+64\,c^3\,d+84\,c^2\,d^2+48\,c\,d^3+11\,d^4\right)}{4\,\left(6\,c^4+16\,c^3\,d+21\,c^2\,d^2+12\,c\,d^3+\frac{11\,d^4}{4}\right)}\right)\,\left(24\,c^4+64\,c^3\,d+84\,c^2\,d^2+48\,c\,d^3+11\,d^4\right)}{8\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(5*a^2*c^4 + (53*a^2*d^4)/8 + 26*a^2*c*d^3 + 24*a^2*c^3*d + (75*a^2*c^2*d^2)/2) - tan(e/2 + (f*x)/2)^11*(3*a^2*c^4 + (11*a^2*d^4)/8 + 6*a^2*c*d^3 + 8*a^2*c^3*d + (21*a^2*c^2*d^2)/2) + tan(e/2 + (f*x)/2)^9*(17*a^2*c^4 + (187*a^2*d^4)/24 + 34*a^2*c*d^3 + (136*a^2*c^3*d)/3 + (119*a^2*c^2*d^2)/2) - tan(e/2 + (f*x)/2)^3*(23*a^2*c^4 + (87*a^2*d^4)/8 + 62*a^2*c*d^3 + (280*a^2*c^3*d)/3 + (233*a^2*c^2*d^2)/2) - tan(e/2 + (f*x)/2)^7*(38*a^2*c^4 + (331*a^2*d^4)/20 + (428*a^2*c*d^3)/5 + 112*a^2*c^3*d + 129*a^2*c^2*d^2) + tan(e/2 + (f*x)/2)^5*(42*a^2*c^4 + (501*a^2*d^4)/20 + (468*a^2*c*d^3)/5 + 144*a^2*c^3*d + 159*a^2*c^2*d^2))/(f*(15*tan(e/2 + (f*x)/2)^4 - 6*tan(e/2 + (f*x)/2)^2 - 20*tan(e/2 + (f*x)/2)^6 + 15*tan(e/2 + (f*x)/2)^8 - 6*tan(e/2 + (f*x)/2)^10 + tan(e/2 + (f*x)/2)^12 + 1)) + (a^2*atanh((tan(e/2 + (f*x)/2)*(48*c*d^3 + 64*c^3*d + 24*c^4 + 11*d^4 + 84*c^2*d^2))/(4*(12*c*d^3 + 16*c^3*d + 6*c^4 + (11*d^4)/4 + 21*c^2*d^2)))*(48*c*d^3 + 64*c^3*d + 24*c^4 + 11*d^4 + 84*c^2*d^2))/(8*f)","B"
194,1,394,242,5.485229,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{3\,a^2\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c+d\right)\,\left(2\,c^2+3\,c\,d+2\,d^2\right)}{2\,\left(6\,c^3+12\,c^2\,d+\frac{21\,c\,d^2}{2}+3\,d^3\right)}\right)\,\left(2\,c+d\right)\,\left(2\,c^2+3\,c\,d+2\,d^2\right)}{4\,f}-\frac{\left(3\,a^2\,c^3+6\,a^2\,c^2\,d+\frac{21\,a^2\,c\,d^2}{4}+\frac{3\,a^2\,d^3}{2}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(-14\,a^2\,c^3-28\,a^2\,c^2\,d-\frac{49\,a^2\,c\,d^2}{2}-7\,a^2\,d^3\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(24\,a^2\,c^3+56\,a^2\,c^2\,d+40\,a^2\,c\,d^2+\frac{72\,a^2\,d^3}{5}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-18\,a^2\,c^3-52\,a^2\,c^2\,d-\frac{79\,a^2\,c\,d^2}{2}-9\,a^2\,d^3\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(5\,a^2\,c^3+18\,a^2\,c^2\,d+\frac{75\,a^2\,c\,d^2}{4}+\frac{13\,a^2\,d^3}{2}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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)}","Not used",1,"(3*a^2*atanh((3*tan(e/2 + (f*x)/2)*(2*c + d)*(3*c*d + 2*c^2 + 2*d^2))/(2*((21*c*d^2)/2 + 12*c^2*d + 6*c^3 + 3*d^3)))*(2*c + d)*(3*c*d + 2*c^2 + 2*d^2))/(4*f) - (tan(e/2 + (f*x)/2)^9*(3*a^2*c^3 + (3*a^2*d^3)/2 + (21*a^2*c*d^2)/4 + 6*a^2*c^2*d) - tan(e/2 + (f*x)/2)^7*(14*a^2*c^3 + 7*a^2*d^3 + (49*a^2*c*d^2)/2 + 28*a^2*c^2*d) - tan(e/2 + (f*x)/2)^3*(18*a^2*c^3 + 9*a^2*d^3 + (79*a^2*c*d^2)/2 + 52*a^2*c^2*d) + tan(e/2 + (f*x)/2)^5*(24*a^2*c^3 + (72*a^2*d^3)/5 + 40*a^2*c*d^2 + 56*a^2*c^2*d) + tan(e/2 + (f*x)/2)*(5*a^2*c^3 + (13*a^2*d^3)/2 + (75*a^2*c*d^2)/4 + 18*a^2*c^2*d))/(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))","B"
195,1,237,176,5.463510,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{\left(-3\,a^2\,c^2-4\,a^2\,c\,d-\frac{7\,a^2\,d^2}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(11\,a^2\,c^2+\frac{44\,a^2\,c\,d}{3}+\frac{77\,a^2\,d^2}{12}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-13\,a^2\,c^2-\frac{68\,a^2\,c\,d}{3}-\frac{83\,a^2\,d^2}{12}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(5\,a^2\,c^2+12\,a^2\,c\,d+\frac{25\,a^2\,d^2}{4}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{a^2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(12\,c^2+16\,c\,d+7\,d^2\right)}{2\,\left(6\,c^2+8\,c\,d+\frac{7\,d^2}{2}\right)}\right)\,\left(12\,c^2+16\,c\,d+7\,d^2\right)}{4\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(5*a^2*c^2 + (25*a^2*d^2)/4 + 12*a^2*c*d) - tan(e/2 + (f*x)/2)^7*(3*a^2*c^2 + (7*a^2*d^2)/4 + 4*a^2*c*d) + tan(e/2 + (f*x)/2)^5*(11*a^2*c^2 + (77*a^2*d^2)/12 + (44*a^2*c*d)/3) - tan(e/2 + (f*x)/2)^3*(13*a^2*c^2 + (83*a^2*d^2)/12 + (68*a^2*c*d)/3))/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1)) + (a^2*atanh((tan(e/2 + (f*x)/2)*(16*c*d + 12*c^2 + 7*d^2))/(2*(8*c*d + 6*c^2 + (7*d^2)/2)))*(16*c*d + 12*c^2 + 7*d^2))/(4*f)","B"
196,1,161,103,4.524640,"\text{Not used}","int(((a + a/cos(e + f*x))^2*(c + d/cos(e + f*x)))/cos(e + f*x),x)","\frac{2\,a^2\,\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3\,c}{2}+d\right)}{6\,c+4\,d}\right)\,\left(\frac{3\,c}{2}+d\right)}{f}-\frac{\left(3\,a^2\,c+2\,a^2\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-8\,a^2\,c-\frac{16\,a^2\,d}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(5\,a^2\,c+6\,a^2\,d\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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^2*atanh((4*tan(e/2 + (f*x)/2)*((3*c)/2 + d))/(6*c + 4*d))*((3*c)/2 + d))/f - (tan(e/2 + (f*x)/2)*(5*a^2*c + 6*a^2*d) + tan(e/2 + (f*x)/2)^5*(3*a^2*c + 2*a^2*d) - tan(e/2 + (f*x)/2)^3*(8*a^2*c + (16*a^2*d)/3))/(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"
197,1,529,95,2.586817,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\frac{2\,a^2\,\left(\frac{\sin\left(e+f\,x\right)}{2}+2\,\cos\left(e+f\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\right)}{f\,\cos\left(e+f\,x\right)\,\left(c+d\right)}+\frac{2\,a^2\,\left(\frac{c\,\sin\left(e+f\,x\right)}{2}+c\,\cos\left(e+f\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\right)}{d\,f\,\cos\left(e+f\,x\right)\,\left(c+d\right)}-\frac{2\,a^2\,\left(c^2\,\cos\left(e+f\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)+\cos\left(e+f\,x\right)\,\mathrm{atan}\left(\frac{\left(2\,c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^4-2\,c^3\,d+2\,c\,d^3-d^4\right)}^{3/2}-2\,c^5\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}+5\,d^5\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}-c\,d^4\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}+4\,c^4\,d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}-9\,c^2\,d^3\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}+3\,c^3\,d^2\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^4-2\,c^3\,d+2\,c\,d^3-d^4}\right)\,1{}\mathrm{i}}{d\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c+d\right)\,\left(3\,c^4\,d-8\,c^3\,d^2+2\,c^2\,d^3+8\,c\,d^4-5\,d^5\right)}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^3}\,1{}\mathrm{i}\right)}{d^2\,f\,\cos\left(e+f\,x\right)\,\left(c+d\right)}","Not used",1,"(2*a^2*(sin(e + f*x)/2 + 2*cos(e + f*x)*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))))/(f*cos(e + f*x)*(c + d)) + (2*a^2*((c*sin(e + f*x))/2 + c*cos(e + f*x)*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2))))/(d*f*cos(e + f*x)*(c + d)) - (2*a^2*(c^2*cos(e + f*x)*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)) + cos(e + f*x)*atan(((2*c*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(3/2) - 2*c^5*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2) + 5*d^5*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2) - c*d^4*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2) + 4*c^4*d*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2) - 9*c^2*d^3*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2) + 3*c^3*d^2*sin(e/2 + (f*x)/2)*(2*c*d^3 - 2*c^3*d + c^4 - d^4)^(1/2))*1i)/(d*cos(e/2 + (f*x)/2)*(c + d)*(8*c*d^4 + 3*c^4*d - 5*d^5 + 2*c^2*d^3 - 8*c^3*d^2)))*((c + d)*(c - d)^3)^(1/2)*1i))/(d^2*f*cos(e + f*x)*(c + d))","B"
198,1,2563,117,4.790010,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c + d/cos(e + f*x))^2),x)","-\frac{2\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c-d\right)}{d\,f\,\left(c+d\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}+\frac{a^2\,\mathrm{atan}\left(\frac{\frac{a^2\,\left(\frac{a^2\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}-\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{d^2\,\left(c^2\,d^2+2\,c\,d^3+d^4\right)}\right)}{d^2}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}\right)\,1{}\mathrm{i}}{d^2}-\frac{a^2\,\left(\frac{a^2\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{d^2\,\left(c^2\,d^2+2\,c\,d^3+d^4\right)}\right)}{d^2}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}\right)\,1{}\mathrm{i}}{d^2}}{\frac{64\,\left(-a^6\,c^4+a^6\,c^3\,d+3\,a^6\,c^2\,d^2-5\,a^6\,c\,d^3+2\,a^6\,d^4\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{a^2\,\left(\frac{a^2\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}-\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{d^2\,\left(c^2\,d^2+2\,c\,d^3+d^4\right)}\right)}{d^2}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}\right)}{d^2}+\frac{a^2\,\left(\frac{a^2\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{d^2\,\left(c^2\,d^2+2\,c\,d^3+d^4\right)}\right)}{d^2}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}\right)}{d^2}}\right)\,2{}\mathrm{i}}{d^2\,f}+\frac{a^2\,\mathrm{atan}\left(\frac{\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}+\frac{a^2\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}-\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{\left(c^2\,d^2+2\,c\,d^3+d^4\right)\,\left(c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5\right)}\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,1{}\mathrm{i}}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}+\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}-\frac{a^2\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{\left(c^2\,d^2+2\,c\,d^3+d^4\right)\,\left(c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5\right)}\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,1{}\mathrm{i}}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}}{\frac{64\,\left(-a^6\,c^4+a^6\,c^3\,d+3\,a^6\,c^2\,d^2-5\,a^6\,c\,d^3+2\,a^6\,d^4\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}+\frac{a^2\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}-\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{\left(c^2\,d^2+2\,c\,d^3+d^4\right)\,\left(c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5\right)}\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}-\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^4\,c^5-7\,a^4\,c^3\,d^2+a^4\,c^2\,d^3+9\,a^4\,c\,d^4-5\,a^4\,d^5\right)}{c^2\,d^2+2\,c\,d^3+d^4}-\frac{a^2\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(\frac{32\,\left(a^2\,c^4\,d^4+2\,a^2\,c^3\,d^5-4\,a^2\,c^2\,d^6-2\,a^2\,c\,d^7+3\,a^2\,d^8\right)}{c^2\,d^3+2\,c\,d^4+d^5}+\frac{32\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,\left(2\,c^5\,d^4-4\,c^3\,d^6+2\,c\,d^8\right)}{\left(c^2\,d^2+2\,c\,d^3+d^4\right)\,\left(c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5\right)}\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)}{c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5}}\right)\,\sqrt{{\left(c+d\right)}^3\,\left(c-d\right)}\,\left(c+2\,d\right)\,2{}\mathrm{i}}{f\,\left(c^3\,d^2+3\,c^2\,d^3+3\,c\,d^4+d^5\right)}","Not used",1,"(a^2*atan(((a^2*((a^2*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) - (32*a^2*tan(e/2 + (f*x)/2)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/(d^2*(2*c*d^3 + d^4 + c^2*d^2))))/d^2 + (32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2))*1i)/d^2 - (a^2*((a^2*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) + (32*a^2*tan(e/2 + (f*x)/2)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/(d^2*(2*c*d^3 + d^4 + c^2*d^2))))/d^2 - (32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2))*1i)/d^2)/((64*(2*a^6*d^4 - a^6*c^4 - 5*a^6*c*d^3 + a^6*c^3*d + 3*a^6*c^2*d^2))/(2*c*d^4 + d^5 + c^2*d^3) + (a^2*((a^2*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) - (32*a^2*tan(e/2 + (f*x)/2)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/(d^2*(2*c*d^3 + d^4 + c^2*d^2))))/d^2 + (32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2)))/d^2 + (a^2*((a^2*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) + (32*a^2*tan(e/2 + (f*x)/2)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/(d^2*(2*c*d^3 + d^4 + c^2*d^2))))/d^2 - (32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2)))/d^2))*2i)/(d^2*f) + (a^2*atan(((a^2*((32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2) + (a^2*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) - (32*a^2*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/((2*c*d^3 + d^4 + c^2*d^2)*(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*1i)/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2) + (a^2*((32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2) - (a^2*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) + (32*a^2*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/((2*c*d^3 + d^4 + c^2*d^2)*(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*1i)/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))/((64*(2*a^6*d^4 - a^6*c^4 - 5*a^6*c*d^3 + a^6*c^3*d + 3*a^6*c^2*d^2))/(2*c*d^4 + d^5 + c^2*d^3) + (a^2*((32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2) + (a^2*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) - (32*a^2*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/((2*c*d^3 + d^4 + c^2*d^2)*(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))*((c + d)^3*(c - d))^(1/2)*(c + 2*d))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2) - (a^2*((32*tan(e/2 + (f*x)/2)*(2*a^4*c^5 - 5*a^4*d^5 + 9*a^4*c*d^4 + a^4*c^2*d^3 - 7*a^4*c^3*d^2))/(2*c*d^3 + d^4 + c^2*d^2) - (a^2*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*((32*(3*a^2*d^8 - 2*a^2*c*d^7 - 4*a^2*c^2*d^6 + 2*a^2*c^3*d^5 + a^2*c^4*d^4))/(2*c*d^4 + d^5 + c^2*d^3) + (32*a^2*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*(2*c*d^8 - 4*c^3*d^6 + 2*c^5*d^4))/((2*c*d^3 + d^4 + c^2*d^2)*(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2))*((c + d)^3*(c - d))^(1/2)*(c + 2*d))/(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2)))*((c + d)^3*(c - d))^(1/2)*(c + 2*d)*2i)/(f*(3*c*d^4 + d^5 + 3*c^2*d^3 + c^3*d^2)) - (2*a^2*tan(e/2 + (f*x)/2)*(c - d))/(d*f*(c + d)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d)))","B"
199,1,158,130,3.574244,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c + d/cos(e + f*x))^3),x)","\frac{\frac{5\,a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{c+d}-\frac{3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(a^2\,c-a^2\,d\right)}{{\left(c+d\right)}^2}}{f\,\left(2\,c\,d-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,c^2-2\,d^2\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(c^2-2\,c\,d+d^2\right)+c^2+d^2\right)}+\frac{3\,a^2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)}{f\,{\left(c+d\right)}^{5/2}\,\sqrt{c-d}}","Not used",1,"((5*a^2*tan(e/2 + (f*x)/2))/(c + d) - (3*tan(e/2 + (f*x)/2)^3*(a^2*c - a^2*d))/(c + d)^2)/(f*(2*c*d - tan(e/2 + (f*x)/2)^2*(2*c^2 - 2*d^2) + tan(e/2 + (f*x)/2)^4*(c^2 - 2*c*d + d^2) + c^2 + d^2)) + (3*a^2*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2)))/(f*(c + d)^(5/2)*(c - d)^(1/2))","B"
200,1,286,213,5.091551,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c + d/cos(e + f*x))^4),x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(3\,a^2\,c^2-5\,a^2\,c\,d+2\,a^2\,d^2\right)}{{\left(c+d\right)}^3}-\frac{8\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,a^2\,c-2\,a^2\,d\right)}{3\,{\left(c+d\right)}^2}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(5\,c-6\,d\right)}{\left(c+d\right)\,\left(c-d\right)}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-3\,c^3-3\,c^2\,d+3\,c\,d^2+3\,d^3\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(-3\,c^3+3\,c^2\,d+3\,c\,d^2-3\,d^3\right)+3\,c\,d^2+3\,c^2\,d+c^3+d^3-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)\right)}+\frac{2\,a^2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)\,\left(\frac{3\,c}{2}-d\right)}{f\,{\left(c+d\right)}^{7/2}\,{\left(c-d\right)}^{3/2}}","Not used",1,"((tan(e/2 + (f*x)/2)^5*(3*a^2*c^2 + 2*a^2*d^2 - 5*a^2*c*d))/(c + d)^3 - (8*tan(e/2 + (f*x)/2)^3*(3*a^2*c - 2*a^2*d))/(3*(c + d)^2) + (a^2*tan(e/2 + (f*x)/2)*(5*c - 6*d))/((c + d)*(c - d)))/(f*(tan(e/2 + (f*x)/2)^2*(3*c*d^2 - 3*c^2*d - 3*c^3 + 3*d^3) - tan(e/2 + (f*x)/2)^4*(3*c*d^2 + 3*c^2*d - 3*c^3 - 3*d^3) + 3*c*d^2 + 3*c^2*d + c^3 + d^3 - tan(e/2 + (f*x)/2)^6*(3*c*d^2 - 3*c^2*d + c^3 - d^3))) + (2*a^2*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2))*((3*c)/2 - d))/(f*(c + d)^(7/2)*(c - d)^(3/2))","B"
201,1,438,276,5.236674,"\text{Not used}","int((a + a/cos(e + f*x))^2/(cos(e + f*x)*(c + d/cos(e + f*x))^5),x)","\frac{\frac{11\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(12\,a^2\,c^2-16\,a^2\,c\,d+7\,a^2\,d^2\right)}{12\,{\left(c+d\right)}^3}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(12\,a^2\,c^3-28\,a^2\,c^2\,d+23\,a^2\,c\,d^2-7\,a^2\,d^3\right)}{4\,{\left(c+d\right)}^4}-\frac{a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(156\,c^2-272\,c\,d+83\,d^2\right)}{12\,{\left(c+d\right)}^2\,\left(c-d\right)}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(20\,c^2-48\,c\,d+25\,d^2\right)}{4\,\left(c+d\right)\,\left(c^2-2\,c\,d+d^2\right)}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(6\,c^4-12\,c^2\,d^2+6\,d^4\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-4\,c^4-8\,c^3\,d+8\,c\,d^3+4\,d^4\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(4\,c^4-8\,c^3\,d+8\,c\,d^3-4\,d^4\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,\left(c^4-4\,c^3\,d+6\,c^2\,d^2-4\,c\,d^3+d^4\right)+4\,c\,d^3+4\,c^3\,d+c^4+d^4+6\,c^2\,d^2\right)}+\frac{a^2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(c^2-2\,c\,d+d^2\right)}{2\,\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}\right)\,\left(12\,c^2-16\,c\,d+7\,d^2\right)}{4\,f\,{\left(c+d\right)}^{9/2}\,{\left(c-d\right)}^{5/2}}","Not used",1,"((11*tan(e/2 + (f*x)/2)^5*(12*a^2*c^2 + 7*a^2*d^2 - 16*a^2*c*d))/(12*(c + d)^3) - (tan(e/2 + (f*x)/2)^7*(12*a^2*c^3 - 7*a^2*d^3 + 23*a^2*c*d^2 - 28*a^2*c^2*d))/(4*(c + d)^4) - (a^2*tan(e/2 + (f*x)/2)^3*(156*c^2 - 272*c*d + 83*d^2))/(12*(c + d)^2*(c - d)) + (a^2*tan(e/2 + (f*x)/2)*(20*c^2 - 48*c*d + 25*d^2))/(4*(c + d)*(c^2 - 2*c*d + d^2)))/(f*(tan(e/2 + (f*x)/2)^4*(6*c^4 + 6*d^4 - 12*c^2*d^2) + tan(e/2 + (f*x)/2)^2*(8*c*d^3 - 8*c^3*d - 4*c^4 + 4*d^4) - tan(e/2 + (f*x)/2)^6*(8*c*d^3 - 8*c^3*d + 4*c^4 - 4*d^4) + tan(e/2 + (f*x)/2)^8*(c^4 - 4*c^3*d - 4*c*d^3 + d^4 + 6*c^2*d^2) + 4*c*d^3 + 4*c^3*d + c^4 + d^4 + 6*c^2*d^2)) + (a^2*atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(c^2 - 2*c*d + d^2))/(2*(c + d)^(1/2)*(c - d)^(5/2)))*(12*c^2 - 16*c*d + 7*d^2))/(4*f*(c + d)^(9/2)*(c - d)^(5/2))","B"
202,1,411,288,5.237666,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c + d/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{a^3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(40\,c^3+90\,c^2\,d+78\,c\,d^2+23\,d^3\right)}{4\,\left(10\,c^3+\frac{45\,c^2\,d}{2}+\frac{39\,c\,d^2}{2}+\frac{23\,d^3}{4}\right)}\right)\,\left(40\,c^3+90\,c^2\,d+78\,c\,d^2+23\,d^3\right)}{8\,f}-\frac{\left(5\,a^3\,c^3+\frac{45\,a^3\,c^2\,d}{4}+\frac{39\,a^3\,c\,d^2}{4}+\frac{23\,a^3\,d^3}{8}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}+\left(-\frac{85\,a^3\,c^3}{3}-\frac{255\,a^3\,c^2\,d}{4}-\frac{221\,a^3\,c\,d^2}{4}-\frac{391\,a^3\,d^3}{24}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(66\,a^3\,c^3+\frac{297\,a^3\,c^2\,d}{2}+\frac{1287\,a^3\,c\,d^2}{10}+\frac{759\,a^3\,d^3}{20}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(-78\,a^3\,c^3-\frac{375\,a^3\,c^2\,d}{2}-\frac{1497\,a^3\,c\,d^2}{10}-\frac{969\,a^3\,d^3}{20}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(\frac{139\,a^3\,c^3}{3}+\frac{513\,a^3\,c^2\,d}{4}+\frac{419\,a^3\,c\,d^2}{4}+\frac{211\,a^3\,d^3}{8}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(-11\,a^3\,c^3-\frac{147\,a^3\,c^2\,d}{4}-\frac{153\,a^3\,c\,d^2}{4}-\frac{105\,a^3\,d^3}{8}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(a^3*atanh((tan(e/2 + (f*x)/2)*(78*c*d^2 + 90*c^2*d + 40*c^3 + 23*d^3))/(4*((39*c*d^2)/2 + (45*c^2*d)/2 + 10*c^3 + (23*d^3)/4)))*(78*c*d^2 + 90*c^2*d + 40*c^3 + 23*d^3))/(8*f) - (tan(e/2 + (f*x)/2)^11*(5*a^3*c^3 + (23*a^3*d^3)/8 + (39*a^3*c*d^2)/4 + (45*a^3*c^2*d)/4) - tan(e/2 + (f*x)/2)^9*((85*a^3*c^3)/3 + (391*a^3*d^3)/24 + (221*a^3*c*d^2)/4 + (255*a^3*c^2*d)/4) + tan(e/2 + (f*x)/2)^3*((139*a^3*c^3)/3 + (211*a^3*d^3)/8 + (419*a^3*c*d^2)/4 + (513*a^3*c^2*d)/4) + tan(e/2 + (f*x)/2)^7*(66*a^3*c^3 + (759*a^3*d^3)/20 + (1287*a^3*c*d^2)/10 + (297*a^3*c^2*d)/2) - tan(e/2 + (f*x)/2)^5*(78*a^3*c^3 + (969*a^3*d^3)/20 + (1497*a^3*c*d^2)/10 + (375*a^3*c^2*d)/2) - tan(e/2 + (f*x)/2)*(11*a^3*c^3 + (105*a^3*d^3)/8 + (153*a^3*c*d^2)/4 + (147*a^3*c^2*d)/4))/(f*(15*tan(e/2 + (f*x)/2)^4 - 6*tan(e/2 + (f*x)/2)^2 - 20*tan(e/2 + (f*x)/2)^6 + 15*tan(e/2 + (f*x)/2)^8 - 6*tan(e/2 + (f*x)/2)^10 + tan(e/2 + (f*x)/2)^12 + 1))","B"
203,1,287,257,5.517713,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c + d/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{a^3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(20\,c^2+30\,c\,d+13\,d^2\right)}{2\,\left(10\,c^2+15\,c\,d+\frac{13\,d^2}{2}\right)}\right)\,\left(20\,c^2+30\,c\,d+13\,d^2\right)}{4\,f}-\frac{\left(5\,a^3\,c^2+\frac{15\,a^3\,c\,d}{2}+\frac{13\,a^3\,d^2}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(-\frac{70\,a^3\,c^2}{3}-35\,a^3\,c\,d-\frac{91\,a^3\,d^2}{6}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(\frac{128\,a^3\,c^2}{3}+64\,a^3\,c\,d+\frac{416\,a^3\,d^2}{15}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-\frac{106\,a^3\,c^2}{3}-61\,a^3\,c\,d-\frac{133\,a^3\,d^2}{6}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(11\,a^3\,c^2+\frac{49\,a^3\,c\,d}{2}+\frac{51\,a^3\,d^2}{4}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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)}","Not used",1,"(a^3*atanh((tan(e/2 + (f*x)/2)*(30*c*d + 20*c^2 + 13*d^2))/(2*(15*c*d + 10*c^2 + (13*d^2)/2)))*(30*c*d + 20*c^2 + 13*d^2))/(4*f) - (tan(e/2 + (f*x)/2)*(11*a^3*c^2 + (51*a^3*d^2)/4 + (49*a^3*c*d)/2) + tan(e/2 + (f*x)/2)^9*(5*a^3*c^2 + (13*a^3*d^2)/4 + (15*a^3*c*d)/2) - tan(e/2 + (f*x)/2)^7*((70*a^3*c^2)/3 + (91*a^3*d^2)/6 + 35*a^3*c*d) - tan(e/2 + (f*x)/2)^3*((106*a^3*c^2)/3 + (133*a^3*d^2)/6 + 61*a^3*c*d) + tan(e/2 + (f*x)/2)^5*((128*a^3*c^2)/3 + (416*a^3*d^2)/15 + 64*a^3*c*d))/(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))","B"
204,1,203,125,5.307273,"\text{Not used}","int(((a + a/cos(e + f*x))^3*(c + d/cos(e + f*x)))/cos(e + f*x),x)","\frac{\left(-5\,a^3\,c-\frac{15\,a^3\,d}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(\frac{55\,a^3\,c}{3}+\frac{55\,a^3\,d}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-\frac{73\,a^3\,c}{3}-\frac{73\,a^3\,d}{4}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(11\,a^3\,c+\frac{49\,a^3\,d}{4}\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}+\frac{5\,a^3\,\mathrm{atanh}\left(\frac{5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,c+3\,d\right)}{2\,\left(10\,c+\frac{15\,d}{2}\right)}\right)\,\left(4\,c+3\,d\right)}{4\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(11*a^3*c + (49*a^3*d)/4) - tan(e/2 + (f*x)/2)^7*(5*a^3*c + (15*a^3*d)/4) + tan(e/2 + (f*x)/2)^5*((55*a^3*c)/3 + (55*a^3*d)/4) - tan(e/2 + (f*x)/2)^3*((73*a^3*c)/3 + (73*a^3*d)/4))/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1)) + (5*a^3*atanh((5*tan(e/2 + (f*x)/2)*(4*c + 3*d))/(2*(10*c + (15*d)/2)))*(4*c + 3*d))/(4*f)","B"
205,1,1902,153,2.891775,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\frac{\mathrm{atanh}\left(\frac{18824\,a^9\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{18824\,a^9\,c^2+2968\,a^9\,d^2-\frac{16680\,a^9\,c^3}{d}+\frac{8608\,a^9\,c^4}{d^2}-\frac{2480\,a^9\,c^5}{d^3}+\frac{320\,a^9\,c^6}{d^4}-11560\,a^9\,c\,d}-\frac{16680\,a^9\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{2968\,a^9\,d^3-16680\,a^9\,c^3-11560\,a^9\,c\,d^2+18824\,a^9\,c^2\,d+\frac{8608\,a^9\,c^4}{d}-\frac{2480\,a^9\,c^5}{d^2}+\frac{320\,a^9\,c^6}{d^3}}+\frac{8608\,a^9\,c^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{8608\,a^9\,c^4+2968\,a^9\,d^4-11560\,a^9\,c\,d^3-16680\,a^9\,c^3\,d+18824\,a^9\,c^2\,d^2-\frac{2480\,a^9\,c^5}{d}+\frac{320\,a^9\,c^6}{d^2}}-\frac{2480\,a^9\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{2968\,a^9\,d^5-2480\,a^9\,c^5-11560\,a^9\,c\,d^4+8608\,a^9\,c^4\,d+18824\,a^9\,c^2\,d^3-16680\,a^9\,c^3\,d^2+\frac{320\,a^9\,c^6}{d}}+\frac{320\,a^9\,c^6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{320\,a^9\,c^6-2480\,a^9\,c^5\,d+8608\,a^9\,c^4\,d^2-16680\,a^9\,c^3\,d^3+18824\,a^9\,c^2\,d^4-11560\,a^9\,c\,d^5+2968\,a^9\,d^6}+\frac{2968\,a^9\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{18824\,a^9\,c^2+2968\,a^9\,d^2-\frac{16680\,a^9\,c^3}{d}+\frac{8608\,a^9\,c^4}{d^2}-\frac{2480\,a^9\,c^5}{d^3}+\frac{320\,a^9\,c^6}{d^4}-11560\,a^9\,c\,d}-\frac{11560\,a^9\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{18824\,a^9\,c^2+2968\,a^9\,d^2-\frac{16680\,a^9\,c^3}{d}+\frac{8608\,a^9\,c^4}{d^2}-\frac{2480\,a^9\,c^5}{d^3}+\frac{320\,a^9\,c^6}{d^4}-11560\,a^9\,c\,d}\right)\,\left(2\,a^3\,c^2-6\,a^3\,c\,d+7\,a^3\,d^2\right)}{d^3\,f}-\frac{\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^3\,c-7\,a^3\,d\right)}{d^2}-\frac{a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,c-5\,d\right)}{d^2}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}-\frac{a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7-64\,a^6\,c^6\,d+232\,a^6\,c^5\,d^2-492\,a^6\,c^4\,d^3+657\,a^6\,c^3\,d^4-547\,a^6\,c^2\,d^5+259\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{d^4}+\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^3\,c^4\,d^6-18\,a^3\,c^3\,d^7+42\,a^3\,c^2\,d^8-46\,a^3\,c\,d^9+18\,a^3\,d^{10}\right)}{d^6}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(8\,c^3\,d^6-16\,c^2\,d^7+8\,c\,d^8\right)}{d^7\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}\right)\,1{}\mathrm{i}}{d^3\,\left(c+d\right)}+\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7-64\,a^6\,c^6\,d+232\,a^6\,c^5\,d^2-492\,a^6\,c^4\,d^3+657\,a^6\,c^3\,d^4-547\,a^6\,c^2\,d^5+259\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{d^4}-\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^3\,c^4\,d^6-18\,a^3\,c^3\,d^7+42\,a^3\,c^2\,d^8-46\,a^3\,c\,d^9+18\,a^3\,d^{10}\right)}{d^6}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(8\,c^3\,d^6-16\,c^2\,d^7+8\,c\,d^8\right)}{d^7\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}\right)\,1{}\mathrm{i}}{d^3\,\left(c+d\right)}}{\frac{16\,\left(4\,a^9\,c^8-42\,a^9\,c^7\,d+194\,a^9\,c^6\,d^2-515\,a^9\,c^5\,d^3+855\,a^9\,c^4\,d^4-904\,a^9\,c^3\,d^5+592\,a^9\,c^2\,d^6-219\,a^9\,c\,d^7+35\,a^9\,d^8\right)}{d^6}-\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7-64\,a^6\,c^6\,d+232\,a^6\,c^5\,d^2-492\,a^6\,c^4\,d^3+657\,a^6\,c^3\,d^4-547\,a^6\,c^2\,d^5+259\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{d^4}+\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^3\,c^4\,d^6-18\,a^3\,c^3\,d^7+42\,a^3\,c^2\,d^8-46\,a^3\,c\,d^9+18\,a^3\,d^{10}\right)}{d^6}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(8\,c^3\,d^6-16\,c^2\,d^7+8\,c\,d^8\right)}{d^7\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}+\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7-64\,a^6\,c^6\,d+232\,a^6\,c^5\,d^2-492\,a^6\,c^4\,d^3+657\,a^6\,c^3\,d^4-547\,a^6\,c^2\,d^5+259\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{d^4}-\frac{a^3\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^3\,c^4\,d^6-18\,a^3\,c^3\,d^7+42\,a^3\,c^2\,d^8-46\,a^3\,c\,d^9+18\,a^3\,d^{10}\right)}{d^6}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,\left(8\,c^3\,d^6-16\,c^2\,d^7+8\,c\,d^8\right)}{d^7\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}\right)}{d^3\,\left(c+d\right)}}\right)\,\sqrt{\left(c+d\right)\,{\left(c-d\right)}^5}\,2{}\mathrm{i}}{d^3\,f\,\left(c+d\right)}","Not used",1,"(atanh((18824*a^9*c^2*tan(e/2 + (f*x)/2))/(18824*a^9*c^2 + 2968*a^9*d^2 - (16680*a^9*c^3)/d + (8608*a^9*c^4)/d^2 - (2480*a^9*c^5)/d^3 + (320*a^9*c^6)/d^4 - 11560*a^9*c*d) - (16680*a^9*c^3*tan(e/2 + (f*x)/2))/(2968*a^9*d^3 - 16680*a^9*c^3 - 11560*a^9*c*d^2 + 18824*a^9*c^2*d + (8608*a^9*c^4)/d - (2480*a^9*c^5)/d^2 + (320*a^9*c^6)/d^3) + (8608*a^9*c^4*tan(e/2 + (f*x)/2))/(8608*a^9*c^4 + 2968*a^9*d^4 - 11560*a^9*c*d^3 - 16680*a^9*c^3*d + 18824*a^9*c^2*d^2 - (2480*a^9*c^5)/d + (320*a^9*c^6)/d^2) - (2480*a^9*c^5*tan(e/2 + (f*x)/2))/(2968*a^9*d^5 - 2480*a^9*c^5 - 11560*a^9*c*d^4 + 8608*a^9*c^4*d + 18824*a^9*c^2*d^3 - 16680*a^9*c^3*d^2 + (320*a^9*c^6)/d) + (320*a^9*c^6*tan(e/2 + (f*x)/2))/(320*a^9*c^6 + 2968*a^9*d^6 - 11560*a^9*c*d^5 - 2480*a^9*c^5*d + 18824*a^9*c^2*d^4 - 16680*a^9*c^3*d^3 + 8608*a^9*c^4*d^2) + (2968*a^9*d^2*tan(e/2 + (f*x)/2))/(18824*a^9*c^2 + 2968*a^9*d^2 - (16680*a^9*c^3)/d + (8608*a^9*c^4)/d^2 - (2480*a^9*c^5)/d^3 + (320*a^9*c^6)/d^4 - 11560*a^9*c*d) - (11560*a^9*c*d*tan(e/2 + (f*x)/2))/(18824*a^9*c^2 + 2968*a^9*d^2 - (16680*a^9*c^3)/d + (8608*a^9*c^4)/d^2 - (2480*a^9*c^5)/d^3 + (320*a^9*c^6)/d^4 - 11560*a^9*c*d))*(2*a^3*c^2 + 7*a^3*d^2 - 6*a^3*c*d))/(d^3*f) - ((tan(e/2 + (f*x)/2)*(2*a^3*c - 7*a^3*d))/d^2 - (a^3*tan(e/2 + (f*x)/2)^3*(2*c - 5*d))/d^2)/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1)) - (a^3*atan(((a^3*((c + d)*(c - d)^5)^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 259*a^6*c*d^6 - 64*a^6*c^6*d - 547*a^6*c^2*d^5 + 657*a^6*c^3*d^4 - 492*a^6*c^4*d^3 + 232*a^6*c^5*d^2))/d^4 + (a^3*((c + d)*(c - d)^5)^(1/2)*((8*(18*a^3*d^10 - 46*a^3*c*d^9 + 42*a^3*c^2*d^8 - 18*a^3*c^3*d^7 + 4*a^3*c^4*d^6))/d^6 - (8*a^3*tan(e/2 + (f*x)/2)*((c + d)*(c - d)^5)^(1/2)*(8*c*d^8 - 16*c^2*d^7 + 8*c^3*d^6))/(d^7*(c + d))))/(d^3*(c + d)))*1i)/(d^3*(c + d)) + (a^3*((c + d)*(c - d)^5)^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 259*a^6*c*d^6 - 64*a^6*c^6*d - 547*a^6*c^2*d^5 + 657*a^6*c^3*d^4 - 492*a^6*c^4*d^3 + 232*a^6*c^5*d^2))/d^4 - (a^3*((c + d)*(c - d)^5)^(1/2)*((8*(18*a^3*d^10 - 46*a^3*c*d^9 + 42*a^3*c^2*d^8 - 18*a^3*c^3*d^7 + 4*a^3*c^4*d^6))/d^6 + (8*a^3*tan(e/2 + (f*x)/2)*((c + d)*(c - d)^5)^(1/2)*(8*c*d^8 - 16*c^2*d^7 + 8*c^3*d^6))/(d^7*(c + d))))/(d^3*(c + d)))*1i)/(d^3*(c + d)))/((16*(4*a^9*c^8 + 35*a^9*d^8 - 219*a^9*c*d^7 - 42*a^9*c^7*d + 592*a^9*c^2*d^6 - 904*a^9*c^3*d^5 + 855*a^9*c^4*d^4 - 515*a^9*c^5*d^3 + 194*a^9*c^6*d^2))/d^6 - (a^3*((c + d)*(c - d)^5)^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 259*a^6*c*d^6 - 64*a^6*c^6*d - 547*a^6*c^2*d^5 + 657*a^6*c^3*d^4 - 492*a^6*c^4*d^3 + 232*a^6*c^5*d^2))/d^4 + (a^3*((c + d)*(c - d)^5)^(1/2)*((8*(18*a^3*d^10 - 46*a^3*c*d^9 + 42*a^3*c^2*d^8 - 18*a^3*c^3*d^7 + 4*a^3*c^4*d^6))/d^6 - (8*a^3*tan(e/2 + (f*x)/2)*((c + d)*(c - d)^5)^(1/2)*(8*c*d^8 - 16*c^2*d^7 + 8*c^3*d^6))/(d^7*(c + d))))/(d^3*(c + d))))/(d^3*(c + d)) + (a^3*((c + d)*(c - d)^5)^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 259*a^6*c*d^6 - 64*a^6*c^6*d - 547*a^6*c^2*d^5 + 657*a^6*c^3*d^4 - 492*a^6*c^4*d^3 + 232*a^6*c^5*d^2))/d^4 - (a^3*((c + d)*(c - d)^5)^(1/2)*((8*(18*a^3*d^10 - 46*a^3*c*d^9 + 42*a^3*c^2*d^8 - 18*a^3*c^3*d^7 + 4*a^3*c^4*d^6))/d^6 + (8*a^3*tan(e/2 + (f*x)/2)*((c + d)*(c - d)^5)^(1/2)*(8*c*d^8 - 16*c^2*d^7 + 8*c^3*d^6))/(d^7*(c + d))))/(d^3*(c + d))))/(d^3*(c + d))))*((c + d)*(c - d)^5)^(1/2)*2i)/(d^3*f*(c + d))","B"
206,1,3135,161,5.273936,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c + d/cos(e + f*x))^2),x)","-\frac{\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(a^3\,c^2-a^3\,c\,d\right)}{d^2\,\left(c+d\right)}-\frac{4\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c^2+d^2\right)}{d^2\,\left(c+d\right)}}{f\,\left(\left(c-d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}+\frac{a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}+\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}-\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{d^3\,\left(c^2\,d^4+2\,c\,d^5+d^6\right)}\right)\,\left(2\,c-3\,d\right)}{d^3}\right)\,\left(2\,c-3\,d\right)\,1{}\mathrm{i}}{d^3}+\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}-\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{d^3\,\left(c^2\,d^4+2\,c\,d^5+d^6\right)}\right)\,\left(2\,c-3\,d\right)}{d^3}\right)\,\left(2\,c-3\,d\right)\,1{}\mathrm{i}}{d^3}}{\frac{128\,\left(4\,a^9\,c^7-16\,a^9\,c^6\,d+15\,a^9\,c^5\,d^2+20\,a^9\,c^4\,d^3-50\,a^9\,c^3\,d^4+36\,a^9\,c^2\,d^5-9\,a^9\,c\,d^6\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}+\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}-\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{d^3\,\left(c^2\,d^4+2\,c\,d^5+d^6\right)}\right)\,\left(2\,c-3\,d\right)}{d^3}\right)\,\left(2\,c-3\,d\right)}{d^3}-\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}-\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{d^3\,\left(c^2\,d^4+2\,c\,d^5+d^6\right)}\right)\,\left(2\,c-3\,d\right)}{d^3}\right)\,\left(2\,c-3\,d\right)}{d^3}}\right)\,\left(2\,c-3\,d\right)\,2{}\mathrm{i}}{d^3\,f}+\frac{a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}+\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}-\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{\left(c^2\,d^4+2\,c\,d^5+d^6\right)\,\left(c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,1{}\mathrm{i}}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}+\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}-\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{\left(c^2\,d^4+2\,c\,d^5+d^6\right)\,\left(c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,1{}\mathrm{i}}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}}{\frac{128\,\left(4\,a^9\,c^7-16\,a^9\,c^6\,d+15\,a^9\,c^5\,d^2+20\,a^9\,c^4\,d^3-50\,a^9\,c^3\,d^4+36\,a^9\,c^2\,d^5-9\,a^9\,c\,d^6\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}+\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}-\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{\left(c^2\,d^4+2\,c\,d^5+d^6\right)\,\left(c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}-\frac{a^3\,\left(\frac{64\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^7-12\,a^6\,c^6\,d+a^6\,c^5\,d^2+29\,a^6\,c^4\,d^3-24\,a^6\,c^3\,d^4-16\,a^6\,c^2\,d^5+27\,a^6\,c\,d^6-9\,a^6\,d^7\right)}{c^2\,d^4+2\,c\,d^5+d^6}-\frac{a^3\,\left(\frac{64\,\left(-a^3\,c^5\,d^6+a^3\,c^4\,d^7+4\,a^3\,c^3\,d^8-4\,a^3\,c^2\,d^9-3\,a^3\,c\,d^{10}+3\,a^3\,d^{11}\right)}{c^2\,d^6+2\,c\,d^7+d^8}+\frac{64\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,\left(c^5\,d^6-2\,c^3\,d^8+c\,d^{10}\right)}{\left(c^2\,d^4+2\,c\,d^5+d^6\right)\,\left(c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)}{c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6}}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(2\,c+3\,d\right)\,2{}\mathrm{i}}{f\,\left(c^3\,d^3+3\,c^2\,d^4+3\,c\,d^5+d^6\right)}","Not used",1,"(a^3*atan(((a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) + (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) - (64*a^3*tan(e/2 + (f*x)/2)*(2*c - 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/(d^3*(2*c*d^5 + d^6 + c^2*d^4)))*(2*c - 3*d))/d^3)*(2*c - 3*d)*1i)/d^3 + (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) - (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) + (64*a^3*tan(e/2 + (f*x)/2)*(2*c - 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/(d^3*(2*c*d^5 + d^6 + c^2*d^4)))*(2*c - 3*d))/d^3)*(2*c - 3*d)*1i)/d^3)/((128*(4*a^9*c^7 - 9*a^9*c*d^6 - 16*a^9*c^6*d + 36*a^9*c^2*d^5 - 50*a^9*c^3*d^4 + 20*a^9*c^4*d^3 + 15*a^9*c^5*d^2))/(2*c*d^7 + d^8 + c^2*d^6) + (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) + (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) - (64*a^3*tan(e/2 + (f*x)/2)*(2*c - 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/(d^3*(2*c*d^5 + d^6 + c^2*d^4)))*(2*c - 3*d))/d^3)*(2*c - 3*d))/d^3 - (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) - (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) + (64*a^3*tan(e/2 + (f*x)/2)*(2*c - 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/(d^3*(2*c*d^5 + d^6 + c^2*d^4)))*(2*c - 3*d))/d^3)*(2*c - 3*d))/d^3))*(2*c - 3*d)*2i)/(d^3*f) - ((4*tan(e/2 + (f*x)/2)^3*(a^3*c^2 - a^3*c*d))/(d^2*(c + d)) - (4*a^3*tan(e/2 + (f*x)/2)*(c^2 + d^2))/(d^2*(c + d)))/(f*(c + d + tan(e/2 + (f*x)/2)^4*(c - d) - 2*c*tan(e/2 + (f*x)/2)^2)) + (a^3*atan(((a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) + (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) - (64*a^3*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/((2*c*d^5 + d^6 + c^2*d^4)*(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*1i)/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3) + (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) - (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) + (64*a^3*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/((2*c*d^5 + d^6 + c^2*d^4)*(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*1i)/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))/((128*(4*a^9*c^7 - 9*a^9*c*d^6 - 16*a^9*c^6*d + 36*a^9*c^2*d^5 - 50*a^9*c^3*d^4 + 20*a^9*c^4*d^3 + 15*a^9*c^5*d^2))/(2*c*d^7 + d^8 + c^2*d^6) + (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) + (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) - (64*a^3*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/((2*c*d^5 + d^6 + c^2*d^4)*(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3) - (a^3*((64*tan(e/2 + (f*x)/2)*(4*a^6*c^7 - 9*a^6*d^7 + 27*a^6*c*d^6 - 12*a^6*c^6*d - 16*a^6*c^2*d^5 - 24*a^6*c^3*d^4 + 29*a^6*c^4*d^3 + a^6*c^5*d^2))/(2*c*d^5 + d^6 + c^2*d^4) - (a^3*((64*(3*a^3*d^11 - 3*a^3*c*d^10 - 4*a^3*c^2*d^9 + 4*a^3*c^3*d^8 + a^3*c^4*d^7 - a^3*c^5*d^6))/(2*c*d^7 + d^8 + c^2*d^6) + (64*a^3*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*(c*d^10 - 2*c^3*d^8 + c^5*d^6))/((2*c*d^5 + d^6 + c^2*d^4)*(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d))/(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(2*c + 3*d)*2i)/(f*(3*c*d^5 + d^6 + 3*c^2*d^4 + c^3*d^3))","B"
207,1,4131,188,8.500329,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c + d/cos(e + f*x))^3),x)","-\frac{\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^2+5\,c\,d-7\,d^2\right)}{d^2\,\left(c+d\right)}-\frac{a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,c^3+c^2\,d-8\,c\,d^2+5\,d^3\right)}{d^2\,{\left(c+d\right)}^2}}{f\,\left(2\,c\,d-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,c^2-2\,d^2\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(c^2-2\,c\,d+d^2\right)+c^2+d^2\right)}-\frac{a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{d^3\,\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)}\right)}{d^3}\right)\,1{}\mathrm{i}}{d^3}+\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}-\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{d^3\,\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)}\right)}{d^3}\right)\,1{}\mathrm{i}}{d^3}}{\frac{16\,\left(4\,a^9\,c^6+10\,a^9\,c^5\,d-10\,a^9\,c^4\,d^2-35\,a^9\,c^3\,d^3+5\,a^9\,c^2\,d^4+61\,a^9\,c\,d^5-35\,a^9\,d^6\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{d^3\,\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)}\right)}{d^3}\right)}{d^3}+\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}-\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{d^3\,\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)}\right)}{d^3}\right)}{d^3}}\right)\,2{}\mathrm{i}}{d^3\,f}-\frac{a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)\,\left(c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}\right)\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,1{}\mathrm{i}}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}+\frac{a^3\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}-\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)\,\left(c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}\right)\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,1{}\mathrm{i}}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}}{\frac{16\,\left(4\,a^9\,c^6+10\,a^9\,c^5\,d-10\,a^9\,c^4\,d^2-35\,a^9\,c^3\,d^3+5\,a^9\,c^2\,d^4+61\,a^9\,c\,d^5-35\,a^9\,d^6\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{a^3\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}-\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)\,\left(c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}\right)\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}+\frac{a^3\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^6\,c^7+16\,a^6\,c^6\,d-8\,a^6\,c^5\,d^2-52\,a^6\,c^4\,d^3-23\,a^6\,c^3\,d^4+53\,a^6\,c^2\,d^5+59\,a^6\,c\,d^6-53\,a^6\,d^7\right)}{c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8}-\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^6\,d^6+10\,a^3\,c^5\,d^7+10\,a^3\,c^4\,d^8-20\,a^3\,c^3\,d^9-32\,a^3\,c^2\,d^{10}+10\,a^3\,c\,d^{11}+18\,a^3\,d^{12}\right)}{c^4\,d^6+4\,c^3\,d^7+6\,c^2\,d^8+4\,c\,d^9+d^{10}}+\frac{8\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,\left(8\,c^7\,d^6+16\,c^6\,d^7-8\,c^5\,d^8-32\,c^4\,d^9-8\,c^3\,d^{10}+16\,c^2\,d^{11}+8\,c\,d^{12}\right)}{\left(c^4\,d^4+4\,c^3\,d^5+6\,c^2\,d^6+4\,c\,d^7+d^8\right)\,\left(c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}\right)\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)}{c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8}}\right)\,\sqrt{{\left(c+d\right)}^5\,\left(c-d\right)}\,\left(c^2+3\,c\,d+\frac{7\,d^2}{2}\right)\,2{}\mathrm{i}}{f\,\left(c^5\,d^3+5\,c^4\,d^4+10\,c^3\,d^5+10\,c^2\,d^6+5\,c\,d^7+d^8\right)}","Not used",1,"- ((a^3*tan(e/2 + (f*x)/2)*(5*c*d + 2*c^2 - 7*d^2))/(d^2*(c + d)) - (a^3*tan(e/2 + (f*x)/2)^3*(c^2*d - 8*c*d^2 + 2*c^3 + 5*d^3))/(d^2*(c + d)^2))/(f*(2*c*d - tan(e/2 + (f*x)/2)^2*(2*c^2 - 2*d^2) + tan(e/2 + (f*x)/2)^4*(c^2 - 2*c*d + d^2) + c^2 + d^2)) - (a^3*atan(((a^3*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) + (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (8*a^3*tan(e/2 + (f*x)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/(d^3*(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4))))/d^3)*1i)/d^3 + (a^3*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) - (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) + (8*a^3*tan(e/2 + (f*x)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/(d^3*(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4))))/d^3)*1i)/d^3)/((16*(4*a^9*c^6 - 35*a^9*d^6 + 61*a^9*c*d^5 + 10*a^9*c^5*d + 5*a^9*c^2*d^4 - 35*a^9*c^3*d^3 - 10*a^9*c^4*d^2))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (a^3*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) + (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (8*a^3*tan(e/2 + (f*x)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/(d^3*(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4))))/d^3))/d^3 + (a^3*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) - (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) + (8*a^3*tan(e/2 + (f*x)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/(d^3*(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4))))/d^3))/d^3))*2i)/(d^3*f) - (a^3*atan(((a^3*((c + d)^5*(c - d))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) + (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (8*a^3*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/((4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4)*(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3)))*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))*(3*c*d + c^2 + (7*d^2)/2)*1i)/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3) + (a^3*((c + d)^5*(c - d))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) - (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) + (8*a^3*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/((4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4)*(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3)))*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))*(3*c*d + c^2 + (7*d^2)/2)*1i)/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))/((16*(4*a^9*c^6 - 35*a^9*d^6 + 61*a^9*c*d^5 + 10*a^9*c^5*d + 5*a^9*c^2*d^4 - 35*a^9*c^3*d^3 - 10*a^9*c^4*d^2))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (a^3*((c + d)^5*(c - d))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) + (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) - (8*a^3*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/((4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4)*(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3)))*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3) + (a^3*((c + d)^5*(c - d))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^6*c^7 - 53*a^6*d^7 + 59*a^6*c*d^6 + 16*a^6*c^6*d + 53*a^6*c^2*d^5 - 23*a^6*c^3*d^4 - 52*a^6*c^4*d^3 - 8*a^6*c^5*d^2))/(4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4) - (a^3*((8*(18*a^3*d^12 + 10*a^3*c*d^11 - 32*a^3*c^2*d^10 - 20*a^3*c^3*d^9 + 10*a^3*c^4*d^8 + 10*a^3*c^5*d^7 + 4*a^3*c^6*d^6))/(4*c*d^9 + d^10 + 6*c^2*d^8 + 4*c^3*d^7 + c^4*d^6) + (8*a^3*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2)*(8*c*d^12 + 16*c^2*d^11 - 8*c^3*d^10 - 32*c^4*d^9 - 8*c^5*d^8 + 16*c^6*d^7 + 8*c^7*d^6))/((4*c*d^7 + d^8 + 6*c^2*d^6 + 4*c^3*d^5 + c^4*d^4)*(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3)))*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))*(3*c*d + c^2 + (7*d^2)/2))/(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3)))*((c + d)^5*(c - d))^(1/2)*(3*c*d + c^2 + (7*d^2)/2)*2i)/(f*(5*c*d^7 + d^8 + 10*c^2*d^6 + 10*c^3*d^5 + 5*c^4*d^4 + c^5*d^3))","B"
208,1,264,178,4.984911,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c + d/cos(e + f*x))^4),x)","\frac{\frac{5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(a^3\,c^2-2\,a^3\,c\,d+a^3\,d^2\right)}{{\left(c+d\right)}^3}+\frac{11\,a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{c+d}-\frac{40\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(a^3\,c-a^3\,d\right)}{3\,{\left(c+d\right)}^2}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-3\,c^3-3\,c^2\,d+3\,c\,d^2+3\,d^3\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(-3\,c^3+3\,c^2\,d+3\,c\,d^2-3\,d^3\right)+3\,c\,d^2+3\,c^2\,d+c^3+d^3-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)\right)}+\frac{5\,a^3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)}{f\,{\left(c+d\right)}^{7/2}\,\sqrt{c-d}}","Not used",1,"((5*tan(e/2 + (f*x)/2)^5*(a^3*c^2 + a^3*d^2 - 2*a^3*c*d))/(c + d)^3 + (11*a^3*tan(e/2 + (f*x)/2))/(c + d) - (40*tan(e/2 + (f*x)/2)^3*(a^3*c - a^3*d))/(3*(c + d)^2))/(f*(tan(e/2 + (f*x)/2)^2*(3*c*d^2 - 3*c^2*d - 3*c^3 + 3*d^3) - tan(e/2 + (f*x)/2)^4*(3*c*d^2 + 3*c^2*d - 3*c^3 - 3*d^3) + 3*c*d^2 + 3*c^2*d + c^3 + d^3 - tan(e/2 + (f*x)/2)^6*(3*c*d^2 - 3*c^2*d + c^3 - d^3))) + (5*a^3*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2)))/(f*(c + d)^(7/2)*(c - d)^(1/2))","B"
209,1,385,266,5.081281,"\text{Not used}","int((a + a/cos(e + f*x))^3/(cos(e + f*x)*(c + d/cos(e + f*x))^5),x)","\frac{\frac{55\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(4\,a^3\,c^2-7\,a^3\,c\,d+3\,a^3\,d^2\right)}{12\,{\left(c+d\right)}^3}-\frac{73\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(4\,a^3\,c-3\,a^3\,d\right)}{12\,{\left(c+d\right)}^2}-\frac{5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(4\,a^3\,c^3-11\,a^3\,c^2\,d+10\,a^3\,c\,d^2-3\,a^3\,d^3\right)}{4\,{\left(c+d\right)}^4}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(44\,c-49\,d\right)}{4\,\left(c+d\right)\,\left(c-d\right)}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(6\,c^4-12\,c^2\,d^2+6\,d^4\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-4\,c^4-8\,c^3\,d+8\,c\,d^3+4\,d^4\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(4\,c^4-8\,c^3\,d+8\,c\,d^3-4\,d^4\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,\left(c^4-4\,c^3\,d+6\,c^2\,d^2-4\,c\,d^3+d^4\right)+4\,c\,d^3+4\,c^3\,d+c^4+d^4+6\,c^2\,d^2\right)}+\frac{5\,a^3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)\,\left(4\,c-3\,d\right)}{4\,f\,{\left(c+d\right)}^{9/2}\,{\left(c-d\right)}^{3/2}}","Not used",1,"((55*tan(e/2 + (f*x)/2)^5*(4*a^3*c^2 + 3*a^3*d^2 - 7*a^3*c*d))/(12*(c + d)^3) - (73*tan(e/2 + (f*x)/2)^3*(4*a^3*c - 3*a^3*d))/(12*(c + d)^2) - (5*tan(e/2 + (f*x)/2)^7*(4*a^3*c^3 - 3*a^3*d^3 + 10*a^3*c*d^2 - 11*a^3*c^2*d))/(4*(c + d)^4) + (a^3*tan(e/2 + (f*x)/2)*(44*c - 49*d))/(4*(c + d)*(c - d)))/(f*(tan(e/2 + (f*x)/2)^4*(6*c^4 + 6*d^4 - 12*c^2*d^2) + tan(e/2 + (f*x)/2)^2*(8*c*d^3 - 8*c^3*d - 4*c^4 + 4*d^4) - tan(e/2 + (f*x)/2)^6*(8*c*d^3 - 8*c^3*d + 4*c^4 - 4*d^4) + tan(e/2 + (f*x)/2)^8*(c^4 - 4*c^3*d - 4*c*d^3 + d^4 + 6*c^2*d^2) + 4*c*d^3 + 4*c^3*d + c^4 + d^4 + 6*c^2*d^2)) + (5*a^3*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2))*(4*c - 3*d))/(4*f*(c + d)^(9/2)*(c - d)^(3/2))","B"
210,1,211,183,2.451264,"\text{Not used}","int((c + d/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{\left(12\,c^2\,d^2-12\,c\,d^3+5\,d^4\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-24\,c^2\,d^2+16\,c\,d^3-\frac{16\,d^4}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(12\,c^2\,d^2-4\,c\,d^3+3\,d^4\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(-a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+3\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-3\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c-d\right)}^4}{a\,f}+\frac{d\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(8\,c^3-12\,c^2\,d+12\,c\,d^2-3\,d^3\right)}{a\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(3*d^4 - 4*c*d^3 + 12*c^2*d^2) + tan(e/2 + (f*x)/2)^5*(5*d^4 - 12*c*d^3 + 12*c^2*d^2) - tan(e/2 + (f*x)/2)^3*((16*d^4)/3 - 16*c*d^3 + 24*c^2*d^2))/(f*(a - 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)) + (tan(e/2 + (f*x)/2)*(c - d)^4)/(a*f) + (d*atanh(tan(e/2 + (f*x)/2))*(12*c*d^2 - 12*c^2*d + 8*c^3 - 3*d^3))/(a*f)","B"
211,1,139,117,1.937773,"\text{Not used}","int((c + d/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(6\,c\,d^2-d^3\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(6\,c\,d^2-3\,d^3\right)}{f\,\left(a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c-d\right)}^3}{a\,f}+\frac{3\,d\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(2\,c^2-2\,c\,d+d^2\right)}{a\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(6*c*d^2 - d^3) - tan(e/2 + (f*x)/2)^3*(6*c*d^2 - 3*d^3))/(f*(a - 2*a*tan(e/2 + (f*x)/2)^2 + a*tan(e/2 + (f*x)/2)^4)) + (tan(e/2 + (f*x)/2)*(c - d)^3)/(a*f) + (3*d*atanh(tan(e/2 + (f*x)/2))*(2*c^2 - 2*c*d + d^2))/(a*f)","B"
212,1,85,68,1.823644,"\text{Not used}","int((c + d/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c-d\right)}^2}{a\,f}+\frac{2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a-a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\right)}+\frac{2\,d\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(2\,c-d\right)}{a\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(c - d)^2)/(a*f) + (2*d^2*tan(e/2 + (f*x)/2))/(f*(a - a*tan(e/2 + (f*x)/2)^2)) + (2*d*atanh(tan(e/2 + (f*x)/2))*(2*c - d))/(a*f)","B"
213,1,41,43,1.727005,"\text{Not used}","int((c + d/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c-d\right)}{a\,f}+\frac{2\,d\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(c - d))/(a*f) + (2*d*atanh(tan(e/2 + (f*x)/2)))/(a*f)","B"
214,1,110,83,1.947391,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c + d/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f\,\left(c-d\right)}-\frac{2\,d\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2-2\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d+\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^2}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c+d}\,{\left(c-d\right)}^{3/2}}\right)}{a\,f\,\sqrt{c+d}\,{\left(c-d\right)}^{3/2}}","Not used",1,"tan(e/2 + (f*x)/2)/(a*f*(c - d)) - (2*d*atanh((c^2*sin(e/2 + (f*x)/2) + d^2*sin(e/2 + (f*x)/2) - 2*c*d*sin(e/2 + (f*x)/2))/(cos(e/2 + (f*x)/2)*(c + d)^(1/2)*(c - d)^(3/2))))/(a*f*(c + d)^(1/2)*(c - d)^(3/2))","B"
215,1,187,145,2.035618,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c + d/cos(e + f*x))^2),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f\,{\left(c-d\right)}^2}-\frac{2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(c+d\right)\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(a\,c^3-3\,a\,c^2\,d+3\,a\,c\,d^2-a\,d^3\right)-a\,d^3-a\,c^3+a\,c\,d^2+a\,c^2\,d\right)}-\frac{2\,d\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(a\,c^2-2\,a\,c\,d+a\,d^2\right)}{2\,a\,\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}\right)\,\left(2\,c+d\right)}{a\,f\,{\left(c+d\right)}^{3/2}\,{\left(c-d\right)}^{5/2}}","Not used",1,"tan(e/2 + (f*x)/2)/(a*f*(c - d)^2) - (2*d^2*tan(e/2 + (f*x)/2))/(f*(c + d)*(tan(e/2 + (f*x)/2)^2*(a*c^3 - a*d^3 + 3*a*c*d^2 - 3*a*c^2*d) - a*d^3 - a*c^3 + a*c*d^2 + a*c^2*d)) - (2*d*atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(a*c^2 + a*d^2 - 2*a*c*d))/(2*a*(c + d)^(1/2)*(c - d)^(5/2)))*(2*c + d))/(a*f*(c + d)^(3/2)*(c - d)^(5/2))","B"
216,1,379,207,2.974672,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))*(c + d/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a\,f\,{\left(c-d\right)}^3}-\frac{\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(d^3+6\,c\,d^2\right)}{c+d}+\frac{3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-2\,c^2\,d^2+c\,d^3+d^4\right)}{{\left(c+d\right)}^2}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,a\,c^5-6\,a\,c^4\,d+4\,a\,c^3\,d^2+4\,a\,c^2\,d^3-6\,a\,c\,d^4+2\,a\,d^5\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(a\,c^5-5\,a\,c^4\,d+10\,a\,c^3\,d^2-10\,a\,c^2\,d^3+5\,a\,c\,d^4-a\,d^5\right)-a\,c^5+a\,d^5-2\,a\,c^2\,d^3+2\,a\,c^3\,d^2-a\,c\,d^4+a\,c^4\,d\right)}+\frac{d\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^4-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,d+6{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d^2-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^3+1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^4}{\sqrt{c+d}\,{\left(c-d\right)}^{7/2}}\right)\,\left(2\,c^2+2\,c\,d+d^2\right)\,3{}\mathrm{i}}{a\,f\,{\left(c+d\right)}^{5/2}\,{\left(c-d\right)}^{7/2}}","Not used",1,"tan(e/2 + (f*x)/2)/(a*f*(c - d)^3) - ((tan(e/2 + (f*x)/2)*(6*c*d^2 + d^3))/(c + d) + (3*tan(e/2 + (f*x)/2)^3*(c*d^3 + d^4 - 2*c^2*d^2))/(c + d)^2)/(f*(tan(e/2 + (f*x)/2)^2*(2*a*c^5 + 2*a*d^5 + 4*a*c^2*d^3 + 4*a*c^3*d^2 - 6*a*c*d^4 - 6*a*c^4*d) - tan(e/2 + (f*x)/2)^4*(a*c^5 - a*d^5 - 10*a*c^2*d^3 + 10*a*c^3*d^2 + 5*a*c*d^4 - 5*a*c^4*d) - a*c^5 + a*d^5 - 2*a*c^2*d^3 + 2*a*c^3*d^2 - a*c*d^4 + a*c^4*d)) + (d*atan((c^4*tan(e/2 + (f*x)/2)*1i + d^4*tan(e/2 + (f*x)/2)*1i - c*d^3*tan(e/2 + (f*x)/2)*4i - c^3*d*tan(e/2 + (f*x)/2)*4i + c^2*d^2*tan(e/2 + (f*x)/2)*6i)/((c + d)^(1/2)*(c - d)^(7/2)))*(2*c*d + 2*c^2 + d^2)*3i)/(a*f*(c + d)^(5/2)*(c - d)^(7/2))","B"
217,1,268,258,1.972662,"\text{Not used}","int((c + d/cos(e + f*x))^5/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{5\,d^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(2\,c-d\right)\,\left(2\,c^2-3\,c\,d+2\,d^2\right)}{a^2\,f}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{2\,{\left(c-d\right)}^5}{a^2}-\frac{5\,\left(c+d\right)\,{\left(c-d\right)}^4}{2\,a^2}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\left(c-d\right)}^5}{6\,a^2\,f}-\frac{\left(20\,c^2\,d^3-25\,c\,d^4+10\,d^5\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-40\,c^2\,d^3+40\,c\,d^4-\frac{40\,d^5}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(20\,c^2\,d^3-15\,c\,d^4+6\,d^5\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-3\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+3\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^2\right)}","Not used",1,"(5*d^2*atanh(tan(e/2 + (f*x)/2))*(2*c - d)*(2*c^2 - 3*c*d + 2*d^2))/(a^2*f) - (tan(e/2 + (f*x)/2)*((2*(c - d)^5)/a^2 - (5*(c + d)*(c - d)^4)/(2*a^2)))/f - (tan(e/2 + (f*x)/2)^3*(c - d)^5)/(6*a^2*f) - (tan(e/2 + (f*x)/2)*(6*d^5 - 15*c*d^4 + 20*c^2*d^3) + tan(e/2 + (f*x)/2)^5*(10*d^5 - 25*c*d^4 + 20*c^2*d^3) - tan(e/2 + (f*x)/2)^3*((40*d^5)/3 - 40*c*d^4 + 40*c^2*d^3))/(f*(3*a^2*tan(e/2 + (f*x)/2)^2 - 3*a^2*tan(e/2 + (f*x)/2)^4 + a^2*tan(e/2 + (f*x)/2)^6 - a^2))","B"
218,1,193,193,1.911813,"\text{Not used}","int((c + d/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c\,d^3-3\,d^4\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(8\,c\,d^3-5\,d^4\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a^2\right)}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3\,{\left(c-d\right)}^4}{2\,a^2}-\frac{2\,\left(c+d\right)\,{\left(c-d\right)}^3}{a^2}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\left(c-d\right)}^4}{6\,a^2\,f}+\frac{d^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(12\,c^2-16\,c\,d+7\,d^2\right)}{a^2\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(8*c*d^3 - 3*d^4) - tan(e/2 + (f*x)/2)^3*(8*c*d^3 - 5*d^4))/(f*(a^2*tan(e/2 + (f*x)/2)^4 - 2*a^2*tan(e/2 + (f*x)/2)^2 + a^2)) - (tan(e/2 + (f*x)/2)*((3*(c - d)^4)/(2*a^2) - (2*(c + d)*(c - d)^3)/a^2))/f - (tan(e/2 + (f*x)/2)^3*(c - d)^4)/(6*a^2*f) + (d^2*atanh(tan(e/2 + (f*x)/2))*(12*c^2 - 16*c*d + 7*d^2))/(a^2*f)","B"
219,1,136,133,1.879959,"\text{Not used}","int((c + d/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{2\,d^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(3\,c-2\,d\right)}{a^2\,f}-\frac{2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^2\right)}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\left(c-d\right)}^3}{6\,a^2\,f}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{{\left(c-d\right)}^3}{a^2}-\frac{3\,\left(c+d\right)\,{\left(c-d\right)}^2}{2\,a^2}\right)}{f}","Not used",1,"(2*d^2*atanh(tan(e/2 + (f*x)/2))*(3*c - 2*d))/(a^2*f) - (2*d^3*tan(e/2 + (f*x)/2))/(f*(a^2*tan(e/2 + (f*x)/2)^2 - a^2)) - (tan(e/2 + (f*x)/2)^3*(c - d)^3)/(6*a^2*f) - (tan(e/2 + (f*x)/2)*((c - d)^3/a^2 - (3*(c + d)*(c - d)^2)/(2*a^2)))/f","B"
220,1,89,89,1.770617,"\text{Not used}","int((c + d/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{2\,d^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{{\left(c-d\right)}^2}{2\,a^2}-\frac{c^2-d^2}{a^2}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\left(c-d\right)}^2}{6\,a^2\,f}","Not used",1,"(2*d^2*atanh(tan(e/2 + (f*x)/2)))/(a^2*f) - (tan(e/2 + (f*x)/2)*((c - d)^2/(2*a^2) - (c^2 - d^2)/a^2))/f - (tan(e/2 + (f*x)/2)^3*(c - d)^2)/(6*a^2*f)","B"
221,1,45,65,1.713618,"\text{Not used}","int((c + d/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))^2),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(c+d\right)}{2\,a^2\,f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(c-d\right)}{6\,a^2\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(c + d))/(2*a^2*f) - (tan(e/2 + (f*x)/2)^3*(c - d))/(6*a^2*f)","B"
222,1,168,129,1.915326,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{1}{a^2\,\left(c-d\right)}-\frac{c+d}{2\,a^2\,{\left(c-d\right)}^2}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{6\,a^2\,f\,\left(c-d\right)}-\frac{d^2\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3-3{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d+3{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^2-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^3}{\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}\right)\,2{}\mathrm{i}}{a^2\,f\,\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}","Not used",1,"(tan(e/2 + (f*x)/2)*(1/(a^2*(c - d)) - (c + d)/(2*a^2*(c - d)^2)))/f - tan(e/2 + (f*x)/2)^3/(6*a^2*f*(c - d)) - (d^2*atan((c^3*tan(e/2 + (f*x)/2)*1i - d^3*tan(e/2 + (f*x)/2)*1i + c*d^2*tan(e/2 + (f*x)/2)*3i - c^2*d*tan(e/2 + (f*x)/2)*3i)/((c + d)^(1/2)*(c - d)^(5/2)))*2i)/(a^2*f*(c + d)^(1/2)*(c - d)^(5/2))","B"
223,1,314,211,2.180597,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))^2),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3}{2\,a^2\,{\left(c-d\right)}^2}-\frac{c^2-d^2}{a^2\,{\left(c-d\right)}^4}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{6\,a^2\,f\,{\left(c-d\right)}^2}+\frac{2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(c+d\right)\,\left(a^2\,d^4-a^2\,c^4+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(a^2\,c^4-4\,a^2\,c^3\,d+6\,a^2\,c^2\,d^2-4\,a^2\,c\,d^3+a^2\,d^4\right)-2\,a^2\,c\,d^3+2\,a^2\,c^3\,d\right)}-\frac{d^2\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^4-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,d+6{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d^2-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^3+1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^4}{\sqrt{c+d}\,{\left(c-d\right)}^{7/2}}\right)\,\left(3\,c+2\,d\right)\,2{}\mathrm{i}}{a^2\,f\,{\left(c+d\right)}^{3/2}\,{\left(c-d\right)}^{7/2}}","Not used",1,"(tan(e/2 + (f*x)/2)*(3/(2*a^2*(c - d)^2) - (c^2 - d^2)/(a^2*(c - d)^4)))/f - tan(e/2 + (f*x)/2)^3/(6*a^2*f*(c - d)^2) + (2*d^3*tan(e/2 + (f*x)/2))/(f*(c + d)*(a^2*d^4 - a^2*c^4 + tan(e/2 + (f*x)/2)^2*(a^2*c^4 + a^2*d^4 - 4*a^2*c*d^3 - 4*a^2*c^3*d + 6*a^2*c^2*d^2) - 2*a^2*c*d^3 + 2*a^2*c^3*d)) - (d^2*atan((c^4*tan(e/2 + (f*x)/2)*1i + d^4*tan(e/2 + (f*x)/2)*1i - c*d^3*tan(e/2 + (f*x)/2)*4i - c^3*d*tan(e/2 + (f*x)/2)*4i + c^2*d^2*tan(e/2 + (f*x)/2)*6i)/((c + d)^(1/2)*(c - d)^(7/2)))*(3*c + 2*d)*2i)/(a^2*f*(c + d)^(3/2)*(c - d)^(7/2))","B"
224,1,505,284,2.282489,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^2*(c + d/cos(e + f*x))^3),x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-8\,c^2\,d^3+3\,c\,d^4+5\,d^5\right)}{{\left(c+d\right)}^2}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(3\,d^4+8\,c\,d^3\right)}{c+d}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,a^2\,c^6-8\,a^2\,c^5\,d+10\,a^2\,c^4\,d^2-10\,a^2\,c^2\,d^4+8\,a^2\,c\,d^5-2\,a^2\,d^6\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(a^2\,c^6-6\,a^2\,c^5\,d+15\,a^2\,c^4\,d^2-20\,a^2\,c^3\,d^3+15\,a^2\,c^2\,d^4-6\,a^2\,c\,d^5+a^2\,d^6\right)-a^2\,c^6-a^2\,d^6+2\,a^2\,c\,d^5+2\,a^2\,c^5\,d+a^2\,c^2\,d^4-4\,a^2\,c^3\,d^3+a^2\,c^4\,d^2\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{2}{a^2\,{\left(c-d\right)}^3}-\frac{3\,\left(c+d\right)}{2\,a^2\,{\left(c-d\right)}^4}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{6\,a^2\,f\,{\left(c-d\right)}^3}-\frac{d^2\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^5-5{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^4\,d+10{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,d^2-10{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d^3+5{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^4-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^5}{\sqrt{c+d}\,{\left(c-d\right)}^{9/2}}\right)\,\left(12\,c^2+16\,c\,d+7\,d^2\right)\,1{}\mathrm{i}}{a^2\,f\,{\left(c+d\right)}^{5/2}\,{\left(c-d\right)}^{9/2}}","Not used",1,"((tan(e/2 + (f*x)/2)^3*(3*c*d^4 + 5*d^5 - 8*c^2*d^3))/(c + d)^2 + (tan(e/2 + (f*x)/2)*(8*c*d^3 + 3*d^4))/(c + d))/(f*(tan(e/2 + (f*x)/2)^2*(2*a^2*c^6 - 2*a^2*d^6 + 8*a^2*c*d^5 - 8*a^2*c^5*d - 10*a^2*c^2*d^4 + 10*a^2*c^4*d^2) - tan(e/2 + (f*x)/2)^4*(a^2*c^6 + a^2*d^6 - 6*a^2*c*d^5 - 6*a^2*c^5*d + 15*a^2*c^2*d^4 - 20*a^2*c^3*d^3 + 15*a^2*c^4*d^2) - a^2*c^6 - a^2*d^6 + 2*a^2*c*d^5 + 2*a^2*c^5*d + a^2*c^2*d^4 - 4*a^2*c^3*d^3 + a^2*c^4*d^2)) + (tan(e/2 + (f*x)/2)*(2/(a^2*(c - d)^3) - (3*(c + d))/(2*a^2*(c - d)^4)))/f - tan(e/2 + (f*x)/2)^3/(6*a^2*f*(c - d)^3) - (d^2*atan((c^5*tan(e/2 + (f*x)/2)*1i - d^5*tan(e/2 + (f*x)/2)*1i + c*d^4*tan(e/2 + (f*x)/2)*5i - c^4*d*tan(e/2 + (f*x)/2)*5i - c^2*d^3*tan(e/2 + (f*x)/2)*10i + c^3*d^2*tan(e/2 + (f*x)/2)*10i)/((c + d)^(1/2)*(c - d)^(9/2)))*(16*c*d + 12*c^2 + 7*d^2)*1i)/(a^2*f*(c + d)^(5/2)*(c - d)^(9/2))","B"
225,1,327,363,1.908317,"\text{Not used}","int((c + d/cos(e + f*x))^6/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{5\,{\left(c-d\right)}^6}{2\,a^3}-\frac{6\,\left(c+d\right)\,{\left(c-d\right)}^5}{a^3}+\frac{15\,{\left(c+d\right)}^2\,{\left(c-d\right)}^4}{4\,a^3}\right)}{f}-\frac{\left(30\,c^2\,d^4-42\,c\,d^5+17\,d^6\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-60\,c^2\,d^4+72\,c\,d^5-\frac{76\,d^6}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(30\,c^2\,d^4-30\,c\,d^5+11\,d^6\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-3\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+3\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^3\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{{\left(c-d\right)}^6}{3\,a^3}-\frac{\left(c+d\right)\,{\left(c-d\right)}^5}{2\,a^3}\right)}{f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\left(c-d\right)}^6}{20\,a^3\,f}+\frac{d^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(40\,c^3-90\,c^2\,d+78\,c\,d^2-23\,d^3\right)}{a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*((5*(c - d)^6)/(2*a^3) - (6*(c + d)*(c - d)^5)/a^3 + (15*(c + d)^2*(c - d)^4)/(4*a^3)))/f - (tan(e/2 + (f*x)/2)*(11*d^6 - 30*c*d^5 + 30*c^2*d^4) + tan(e/2 + (f*x)/2)^5*(17*d^6 - 42*c*d^5 + 30*c^2*d^4) - tan(e/2 + (f*x)/2)^3*((76*d^6)/3 - 72*c*d^5 + 60*c^2*d^4))/(f*(3*a^3*tan(e/2 + (f*x)/2)^2 - 3*a^3*tan(e/2 + (f*x)/2)^4 + a^3*tan(e/2 + (f*x)/2)^6 - a^3)) + (tan(e/2 + (f*x)/2)^3*((c - d)^6/(3*a^3) - ((c + d)*(c - d)^5)/(2*a^3)))/f + (tan(e/2 + (f*x)/2)^5*(c - d)^6)/(20*a^3*f) + (d^3*atanh(tan(e/2 + (f*x)/2))*(78*c*d^2 - 90*c^2*d + 40*c^3 - 23*d^3))/(a^3*f)","B"
226,1,252,287,1.865372,"\text{Not used}","int((c + d/cos(e + f*x))^5/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3\,{\left(c-d\right)}^5}{2\,a^3}-\frac{15\,\left(c+d\right)\,{\left(c-d\right)}^4}{4\,a^3}+\frac{5\,{\left(c+d\right)}^2\,{\left(c-d\right)}^3}{2\,a^3}\right)}{f}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(10\,c\,d^4-5\,d^5\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(10\,c\,d^4-7\,d^5\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a^3\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{{\left(c-d\right)}^5}{4\,a^3}-\frac{5\,\left(c+d\right)\,{\left(c-d\right)}^4}{12\,a^3}\right)}{f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\left(c-d\right)}^5}{20\,a^3\,f}+\frac{d^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(20\,c^2-30\,c\,d+13\,d^2\right)}{a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*((3*(c - d)^5)/(2*a^3) - (15*(c + d)*(c - d)^4)/(4*a^3) + (5*(c + d)^2*(c - d)^3)/(2*a^3)))/f + (tan(e/2 + (f*x)/2)*(10*c*d^4 - 5*d^5) - tan(e/2 + (f*x)/2)^3*(10*c*d^4 - 7*d^5))/(f*(a^3*tan(e/2 + (f*x)/2)^4 - 2*a^3*tan(e/2 + (f*x)/2)^2 + a^3)) + (tan(e/2 + (f*x)/2)^3*((c - d)^5/(4*a^3) - (5*(c + d)*(c - d)^4)/(12*a^3)))/f + (tan(e/2 + (f*x)/2)^5*(c - d)^5)/(20*a^3*f) + (d^3*atanh(tan(e/2 + (f*x)/2))*(20*c^2 - 30*c*d + 13*d^2))/(a^3*f)","B"
227,1,195,205,1.816181,"\text{Not used}","int((c + d/cos(e + f*x))^4/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3\,{\left(c-d\right)}^4}{4\,a^3}+\frac{3\,{\left(c^2-d^2\right)}^2}{2\,a^3}-\frac{2\,\left(c+d\right)\,{\left(c-d\right)}^3}{a^3}\right)}{f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{{\left(c-d\right)}^4}{6\,a^3}-\frac{\left(c+d\right)\,{\left(c-d\right)}^3}{3\,a^3}\right)}{f}-\frac{2\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-a^3\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\left(c-d\right)}^4}{20\,a^3\,f}+\frac{2\,d^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(4\,c-3\,d\right)}{a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*((3*(c - d)^4)/(4*a^3) + (3*(c^2 - d^2)^2)/(2*a^3) - (2*(c + d)*(c - d)^3)/a^3))/f + (tan(e/2 + (f*x)/2)^3*((c - d)^4/(6*a^3) - ((c + d)*(c - d)^3)/(3*a^3)))/f - (2*d^4*tan(e/2 + (f*x)/2))/(f*(a^3*tan(e/2 + (f*x)/2)^2 - a^3)) + (tan(e/2 + (f*x)/2)^5*(c - d)^4)/(20*a^3*f) + (2*d^3*atanh(tan(e/2 + (f*x)/2))*(4*c - 3*d))/(a^3*f)","B"
228,1,147,133,1.799327,"\text{Not used}","int((c + d/cos(e + f*x))^3/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{{\left(c-d\right)}^3}{4\,a^3}-\frac{3\,\left(c+d\right)\,{\left(c-d\right)}^2}{4\,a^3}+\frac{3\,{\left(c+d\right)}^2\,\left(c-d\right)}{4\,a^3}\right)}{f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{{\left(c-d\right)}^3}{12\,a^3}-\frac{\left(c+d\right)\,{\left(c-d\right)}^2}{4\,a^3}\right)}{f}+\frac{2\,d^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^3\,f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\left(c-d\right)}^3}{20\,a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*((c - d)^3/(4*a^3) - (3*(c + d)*(c - d)^2)/(4*a^3) + (3*(c + d)^2*(c - d))/(4*a^3)))/f + (tan(e/2 + (f*x)/2)^3*((c - d)^3/(12*a^3) - ((c + d)*(c - d)^2)/(4*a^3)))/f + (2*d^3*atanh(tan(e/2 + (f*x)/2)))/(a^3*f) + (tan(e/2 + (f*x)/2)^5*(c - d)^3)/(20*a^3*f)","B"
229,1,79,115,1.833459,"\text{Not used}","int((c + d/cos(e + f*x))^2/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c+d\right)}^2}{4\,a^3\,f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,c^2-2\,d^2\right)}{12\,a^3\,f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\left(c-d\right)}^2}{20\,a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(c + d)^2)/(4*a^3*f) - (tan(e/2 + (f*x)/2)^3*(2*c^2 - 2*d^2))/(12*a^3*f) + (tan(e/2 + (f*x)/2)^5*(c - d)^2)/(20*a^3*f)","B"
230,1,66,102,1.738017,"\text{Not used}","int((c + d/cos(e + f*x))/(cos(e + f*x)*(a + a/cos(e + f*x))^3),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(15\,c+15\,d-10\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-3\,d\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\right)}{60\,a^3\,f}","Not used",1,"(tan(e/2 + (f*x)/2)*(15*c + 15*d - 10*c*tan(e/2 + (f*x)/2)^2 + 3*c*tan(e/2 + (f*x)/2)^4 - 3*d*tan(e/2 + (f*x)/2)^4))/(60*a^3*f)","B"
231,1,228,181,1.949964,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c + d/cos(e + f*x))),x)","\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3}{4\,a^3\,\left(c-d\right)}-\frac{\left(c+d\right)\,\left(\frac{3}{4\,a^3\,\left(c-d\right)}-\frac{c+d}{4\,a^3\,{\left(c-d\right)}^2}\right)}{c-d}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{1}{4\,a^3\,\left(c-d\right)}-\frac{c+d}{12\,a^3\,{\left(c-d\right)}^2}\right)}{f}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20\,a^3\,f\,\left(c-d\right)}-\frac{2\,d^3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(a^3\,c^3-3\,a^3\,c^2\,d+3\,a^3\,c\,d^2-a^3\,d^3\right)}{2\,a^3\,\sqrt{c+d}\,{\left(c-d\right)}^{7/2}}\right)}{a^3\,f\,\sqrt{c+d}\,{\left(c-d\right)}^{7/2}}","Not used",1,"(tan(e/2 + (f*x)/2)*(3/(4*a^3*(c - d)) - ((c + d)*(3/(4*a^3*(c - d)) - (c + d)/(4*a^3*(c - d)^2)))/(c - d)))/f - (tan(e/2 + (f*x)/2)^3*(1/(4*a^3*(c - d)) - (c + d)/(12*a^3*(c - d)^2)))/f + tan(e/2 + (f*x)/2)^5/(20*a^3*f*(c - d)) - (2*d^3*atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(a^3*c^3 - a^3*d^3 + 3*a^3*c*d^2 - 3*a^3*c^2*d))/(2*a^3*(c + d)^(1/2)*(c - d)^(7/2))))/(a^3*f*(c + d)^(1/2)*(c - d)^(7/2))","B"
232,1,464,288,2.120111,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c + d/cos(e + f*x))^2),x)","\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20\,a^3\,f\,{\left(c-d\right)}^2}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{2\,\left(c^2-d^2\right)\,\left(\frac{1}{a^3\,{\left(c-d\right)}^2}-\frac{c^2-d^2}{2\,a^3\,{\left(c-d\right)}^4}\right)}{{\left(c-d\right)}^2}-\frac{3}{2\,a^3\,{\left(c-d\right)}^2}+\frac{{\left(c+d\right)}^2}{4\,a^3\,{\left(c-d\right)}^4}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{1}{3\,a^3\,{\left(c-d\right)}^2}-\frac{c^2-d^2}{6\,a^3\,{\left(c-d\right)}^4}\right)}{f}+\frac{2\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(c+d\right)\,\left(a^3\,c^5-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(a^3\,c^5-5\,a^3\,c^4\,d+10\,a^3\,c^3\,d^2-10\,a^3\,c^2\,d^3+5\,a^3\,c\,d^4-a^3\,d^5\right)+a^3\,d^5-3\,a^3\,c\,d^4-3\,a^3\,c^4\,d+2\,a^3\,c^2\,d^3+2\,a^3\,c^3\,d^2\right)}+\frac{d^3\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^5-5{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^4\,d+10{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,d^2-10{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d^3+5{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^4-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^5}{\sqrt{c+d}\,{\left(c-d\right)}^{9/2}}\right)\,\left(4\,c+3\,d\right)\,2{}\mathrm{i}}{a^3\,f\,{\left(c+d\right)}^{3/2}\,{\left(c-d\right)}^{9/2}}","Not used",1,"tan(e/2 + (f*x)/2)^5/(20*a^3*f*(c - d)^2) - (tan(e/2 + (f*x)/2)*((2*(c^2 - d^2)*(1/(a^3*(c - d)^2) - (c^2 - d^2)/(2*a^3*(c - d)^4)))/(c - d)^2 - 3/(2*a^3*(c - d)^2) + (c + d)^2/(4*a^3*(c - d)^4)))/f - (tan(e/2 + (f*x)/2)^3*(1/(3*a^3*(c - d)^2) - (c^2 - d^2)/(6*a^3*(c - d)^4)))/f + (2*d^4*tan(e/2 + (f*x)/2))/(f*(c + d)*(a^3*c^5 - tan(e/2 + (f*x)/2)^2*(a^3*c^5 - a^3*d^5 + 5*a^3*c*d^4 - 5*a^3*c^4*d - 10*a^3*c^2*d^3 + 10*a^3*c^3*d^2) + a^3*d^5 - 3*a^3*c*d^4 - 3*a^3*c^4*d + 2*a^3*c^2*d^3 + 2*a^3*c^3*d^2)) + (d^3*atan((c^5*tan(e/2 + (f*x)/2)*1i - d^5*tan(e/2 + (f*x)/2)*1i + c*d^4*tan(e/2 + (f*x)/2)*5i - c^4*d*tan(e/2 + (f*x)/2)*5i - c^2*d^3*tan(e/2 + (f*x)/2)*10i + c^3*d^2*tan(e/2 + (f*x)/2)*10i)/((c + d)^(1/2)*(c - d)^(9/2)))*(4*c + 3*d)*2i)/(a^3*f*(c + d)^(3/2)*(c - d)^(9/2))","B"
233,1,655,368,2.358970,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^3*(c + d/cos(e + f*x))^3),x)","\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20\,a^3\,f\,{\left(c-d\right)}^3}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(\frac{3\,{\left(c+d\right)}^2}{4\,a^3\,{\left(c-d\right)}^5}-\frac{5}{2\,a^3\,{\left(c-d\right)}^3}+\frac{3\,\left(c+d\right)\,\left(\frac{5}{4\,a^3\,{\left(c-d\right)}^3}-\frac{3\,\left(c+d\right)}{4\,a^3\,{\left(c-d\right)}^4}\right)}{c-d}\right)}{f}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(\frac{5}{12\,a^3\,{\left(c-d\right)}^3}-\frac{c+d}{4\,a^3\,{\left(c-d\right)}^4}\right)}{f}-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-10\,c^2\,d^4+3\,c\,d^5+7\,d^6\right)}{{\left(c+d\right)}^2}+\frac{5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(d^5+2\,c\,d^4\right)}{c+d}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,a^3\,c^7-10\,a^3\,c^6\,d+18\,a^3\,c^5\,d^2-10\,a^3\,c^4\,d^3-10\,a^3\,c^3\,d^4+18\,a^3\,c^2\,d^5-10\,a^3\,c\,d^6+2\,a^3\,d^7\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(a^3\,c^7-7\,a^3\,c^6\,d+21\,a^3\,c^5\,d^2-35\,a^3\,c^4\,d^3+35\,a^3\,c^3\,d^4-21\,a^3\,c^2\,d^5+7\,a^3\,c\,d^6-a^3\,d^7\right)-a^3\,c^7+a^3\,d^7-3\,a^3\,c\,d^6+3\,a^3\,c^6\,d+a^3\,c^2\,d^5+5\,a^3\,c^3\,d^4-5\,a^3\,c^4\,d^3-a^3\,c^5\,d^2\right)}+\frac{d^3\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^6-6{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^5\,d+15{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^4\,d^2-20{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,d^3+15{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,d^4-6{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c\,d^5+1{}\mathrm{i}\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,d^6}{\sqrt{c+d}\,{\left(c-d\right)}^{11/2}}\right)\,\left(20\,c^2+30\,c\,d+13\,d^2\right)\,1{}\mathrm{i}}{a^3\,f\,{\left(c+d\right)}^{5/2}\,{\left(c-d\right)}^{11/2}}","Not used",1,"tan(e/2 + (f*x)/2)^5/(20*a^3*f*(c - d)^3) - (tan(e/2 + (f*x)/2)*((3*(c + d)^2)/(4*a^3*(c - d)^5) - 5/(2*a^3*(c - d)^3) + (3*(c + d)*(5/(4*a^3*(c - d)^3) - (3*(c + d))/(4*a^3*(c - d)^4)))/(c - d)))/f - (tan(e/2 + (f*x)/2)^3*(5/(12*a^3*(c - d)^3) - (c + d)/(4*a^3*(c - d)^4)))/f - ((tan(e/2 + (f*x)/2)^3*(3*c*d^5 + 7*d^6 - 10*c^2*d^4))/(c + d)^2 + (5*tan(e/2 + (f*x)/2)*(2*c*d^4 + d^5))/(c + d))/(f*(tan(e/2 + (f*x)/2)^2*(2*a^3*c^7 + 2*a^3*d^7 - 10*a^3*c*d^6 - 10*a^3*c^6*d + 18*a^3*c^2*d^5 - 10*a^3*c^3*d^4 - 10*a^3*c^4*d^3 + 18*a^3*c^5*d^2) - tan(e/2 + (f*x)/2)^4*(a^3*c^7 - a^3*d^7 + 7*a^3*c*d^6 - 7*a^3*c^6*d - 21*a^3*c^2*d^5 + 35*a^3*c^3*d^4 - 35*a^3*c^4*d^3 + 21*a^3*c^5*d^2) - a^3*c^7 + a^3*d^7 - 3*a^3*c*d^6 + 3*a^3*c^6*d + a^3*c^2*d^5 + 5*a^3*c^3*d^4 - 5*a^3*c^4*d^3 - a^3*c^5*d^2)) + (d^3*atan((c^6*tan(e/2 + (f*x)/2)*1i + d^6*tan(e/2 + (f*x)/2)*1i - c*d^5*tan(e/2 + (f*x)/2)*6i - c^5*d*tan(e/2 + (f*x)/2)*6i + c^2*d^4*tan(e/2 + (f*x)/2)*15i - c^3*d^3*tan(e/2 + (f*x)/2)*20i + c^4*d^2*tan(e/2 + (f*x)/2)*15i)/((c + d)^(1/2)*(c - d)^(11/2)))*(30*c*d + 20*c^2 + 13*d^2)*1i)/(a^3*f*(c + d)^(5/2)*(c - d)^(11/2))","B"
234,0,-1,61,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))^(1/2)), x)","F"
235,0,-1,140,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)),x)","\int \frac{\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^(1/2)/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)), x)","F"
236,0,-1,78,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
237,0,-1,141,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
238,0,-1,61,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))), x)","F"
239,0,-1,149,0.000000,"\text{Not used}","int(((a + a/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + d/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{c+\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((a + a/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + d/cos(e + f*x)), x)","F"
240,0,-1,122,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
241,0,-1,124,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
242,0,-1,167,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(3/2)/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(3/2)/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
243,0,-1,231,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(5/2)/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
244,1,555,250,5.553372,"\text{Not used}","int(((a + b/cos(e + f*x))*(c + d/cos(e + f*x))^4)/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,c^4+2\,b\,c^3\,d+3\,a\,c^2\,d^2+\frac{3\,b\,c\,d^3}{2}+\frac{3\,a\,d^4}{8}\right)}{4\,a\,c^4+8\,b\,c^3\,d+12\,a\,c^2\,d^2+6\,b\,c\,d^3+\frac{3\,a\,d^4}{2}}\right)\,\left(2\,a\,c^4+4\,b\,c^3\,d+6\,a\,c^2\,d^2+3\,b\,c\,d^3+\frac{3\,a\,d^4}{4}\right)}{f}-\frac{\left(2\,b\,c^4-\frac{5\,a\,d^4}{4}+2\,b\,d^4-6\,a\,c^2\,d^2+12\,b\,c^2\,d^2+8\,a\,c\,d^3+8\,a\,c^3\,d-5\,b\,c\,d^3-4\,b\,c^3\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9+\left(\frac{a\,d^4}{2}-8\,b\,c^4-\frac{8\,b\,d^4}{3}+12\,a\,c^2\,d^2-32\,b\,c^2\,d^2-\frac{64\,a\,c\,d^3}{3}-32\,a\,c^3\,d+2\,b\,c\,d^3+8\,b\,c^3\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(12\,b\,c^4+48\,a\,c^3\,d+40\,b\,c^2\,d^2+\frac{80\,a\,c\,d^3}{3}+\frac{116\,b\,d^4}{15}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-\frac{a\,d^4}{2}-8\,b\,c^4-\frac{8\,b\,d^4}{3}-12\,a\,c^2\,d^2-32\,b\,c^2\,d^2-\frac{64\,a\,c\,d^3}{3}-32\,a\,c^3\,d-2\,b\,c\,d^3-8\,b\,c^3\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(\frac{5\,a\,d^4}{4}+2\,b\,c^4+2\,b\,d^4+6\,a\,c^2\,d^2+12\,b\,c^2\,d^2+8\,a\,c\,d^3+8\,a\,c^3\,d+5\,b\,c\,d^3+4\,b\,c^3\,d\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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)}","Not used",1,"(atanh((4*tan(e/2 + (f*x)/2)*(a*c^4 + (3*a*d^4)/8 + 3*a*c^2*d^2 + (3*b*c*d^3)/2 + 2*b*c^3*d))/(4*a*c^4 + (3*a*d^4)/2 + 12*a*c^2*d^2 + 6*b*c*d^3 + 8*b*c^3*d))*(2*a*c^4 + (3*a*d^4)/4 + 6*a*c^2*d^2 + 3*b*c*d^3 + 4*b*c^3*d))/f - (tan(e/2 + (f*x)/2)^5*(12*b*c^4 + (116*b*d^4)/15 + 40*b*c^2*d^2 + (80*a*c*d^3)/3 + 48*a*c^3*d) + tan(e/2 + (f*x)/2)*((5*a*d^4)/4 + 2*b*c^4 + 2*b*d^4 + 6*a*c^2*d^2 + 12*b*c^2*d^2 + 8*a*c*d^3 + 8*a*c^3*d + 5*b*c*d^3 + 4*b*c^3*d) + tan(e/2 + (f*x)/2)^9*(2*b*c^4 - (5*a*d^4)/4 + 2*b*d^4 - 6*a*c^2*d^2 + 12*b*c^2*d^2 + 8*a*c*d^3 + 8*a*c^3*d - 5*b*c*d^3 - 4*b*c^3*d) - tan(e/2 + (f*x)/2)^3*((a*d^4)/2 + 8*b*c^4 + (8*b*d^4)/3 + 12*a*c^2*d^2 + 32*b*c^2*d^2 + (64*a*c*d^3)/3 + 32*a*c^3*d + 2*b*c*d^3 + 8*b*c^3*d) - tan(e/2 + (f*x)/2)^7*(8*b*c^4 - (a*d^4)/2 + (8*b*d^4)/3 - 12*a*c^2*d^2 + 32*b*c^2*d^2 + (64*a*c*d^3)/3 + 32*a*c^3*d - 2*b*c*d^3 - 8*b*c^3*d))/(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))","B"
245,1,395,180,5.493889,"\text{Not used}","int(((a + b/cos(e + f*x))*(c + d/cos(e + f*x))^3)/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,c^3+\frac{3\,b\,c^2\,d}{2}+\frac{3\,a\,c\,d^2}{2}+\frac{3\,b\,d^3}{8}\right)}{4\,a\,c^3+6\,b\,c^2\,d+6\,a\,c\,d^2+\frac{3\,b\,d^3}{2}}\right)\,\left(2\,a\,c^3+3\,b\,c^2\,d+3\,a\,c\,d^2+\frac{3\,b\,d^3}{4}\right)}{f}-\frac{\left(2\,a\,d^3+2\,b\,c^3-\frac{5\,b\,d^3}{4}-3\,a\,c\,d^2+6\,a\,c^2\,d+6\,b\,c\,d^2-3\,b\,c^2\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7+\left(3\,a\,c\,d^2-6\,b\,c^3-\frac{3\,b\,d^3}{4}-\frac{10\,a\,d^3}{3}-18\,a\,c^2\,d-10\,b\,c\,d^2+3\,b\,c^2\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(\frac{10\,a\,d^3}{3}+6\,b\,c^3-\frac{3\,b\,d^3}{4}+3\,a\,c\,d^2+18\,a\,c^2\,d+10\,b\,c\,d^2+3\,b\,c^2\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(-2\,a\,d^3-2\,b\,c^3-\frac{5\,b\,d^3}{4}-3\,a\,c\,d^2-6\,a\,c^2\,d-6\,b\,c\,d^2-3\,b\,c^2\,d\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(atanh((4*tan(e/2 + (f*x)/2)*(a*c^3 + (3*b*d^3)/8 + (3*a*c*d^2)/2 + (3*b*c^2*d)/2))/(4*a*c^3 + (3*b*d^3)/2 + 6*a*c*d^2 + 6*b*c^2*d))*(2*a*c^3 + (3*b*d^3)/4 + 3*a*c*d^2 + 3*b*c^2*d))/f - (tan(e/2 + (f*x)/2)^7*(2*a*d^3 + 2*b*c^3 - (5*b*d^3)/4 - 3*a*c*d^2 + 6*a*c^2*d + 6*b*c*d^2 - 3*b*c^2*d) + tan(e/2 + (f*x)/2)^3*((10*a*d^3)/3 + 6*b*c^3 - (3*b*d^3)/4 + 3*a*c*d^2 + 18*a*c^2*d + 10*b*c*d^2 + 3*b*c^2*d) - tan(e/2 + (f*x)/2)^5*((10*a*d^3)/3 + 6*b*c^3 + (3*b*d^3)/4 - 3*a*c*d^2 + 18*a*c^2*d + 10*b*c*d^2 - 3*b*c^2*d) - tan(e/2 + (f*x)/2)*(2*a*d^3 + 2*b*c^3 + (5*b*d^3)/4 + 3*a*c*d^2 + 6*a*c^2*d + 6*b*c*d^2 + 3*b*c^2*d))/(f*(6*tan(e/2 + (f*x)/2)^4 - 4*tan(e/2 + (f*x)/2)^2 - 4*tan(e/2 + (f*x)/2)^6 + tan(e/2 + (f*x)/2)^8 + 1))","B"
246,1,227,115,5.208446,"\text{Not used}","int(((a + b/cos(e + f*x))*(c + d/cos(e + f*x))^2)/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,c^2+b\,c\,d+\frac{a\,d^2}{2}\right)}{4\,a\,c^2+4\,b\,c\,d+2\,a\,d^2}\right)\,\left(2\,a\,c^2+2\,b\,c\,d+a\,d^2\right)}{f}-\frac{\left(2\,b\,c^2-a\,d^2+2\,b\,d^2+4\,a\,c\,d-2\,b\,c\,d\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5+\left(-4\,b\,c^2-8\,a\,c\,d-\frac{4\,b\,d^2}{3}\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+\left(a\,d^2+2\,b\,c^2+2\,b\,d^2+4\,a\,c\,d+2\,b\,c\,d\right)\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{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,"(atanh((4*tan(e/2 + (f*x)/2)*(a*c^2 + (a*d^2)/2 + b*c*d))/(4*a*c^2 + 2*a*d^2 + 4*b*c*d))*(2*a*c^2 + a*d^2 + 2*b*c*d))/f - (tan(e/2 + (f*x)/2)*(a*d^2 + 2*b*c^2 + 2*b*d^2 + 4*a*c*d + 2*b*c*d) - tan(e/2 + (f*x)/2)^3*(4*b*c^2 + (4*b*d^2)/3 + 8*a*c*d) + tan(e/2 + (f*x)/2)^5*(2*b*c^2 - a*d^2 + 2*b*d^2 + 4*a*c*d - 2*b*c*d))/(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"
247,1,104,61,2.789113,"\text{Not used}","int(((a + b/cos(e + f*x))*(c + d/cos(e + f*x)))/cos(e + f*x),x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)\,\left(2\,a\,c+b\,d\right)}{f}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d+2\,b\,c+b\,d\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,a\,d+2\,b\,c-b\,d\right)}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}","Not used",1,"(atanh(tan(e/2 + (f*x)/2))*(2*a*c + b*d))/f + (tan(e/2 + (f*x)/2)*(2*a*d + 2*b*c + b*d) - tan(e/2 + (f*x)/2)^3*(2*a*d + 2*b*c - b*d))/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1))","B"
248,1,573,76,2.729715,"\text{Not used}","int((a + b/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\frac{a\,c^2\,\ln\left(\frac{c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(c^2-d^2\right)}^{3/2}}-\frac{a\,d^2\,\ln\left(\frac{c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(c^2-d^2\right)}^{3/2}}-\frac{2\,b\,d\,\mathrm{atanh}\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(c^2-d^2\right)}-\frac{a\,\ln\left(\frac{c\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+d\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)-\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,\sqrt{\left(c+d\right)\,\left(c-d\right)}}{f\,\left(c^2-d^2\right)}+\frac{b\,c\,d\,\ln\left(\frac{c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(c^2-d^2\right)}^{3/2}}+\frac{2\,b\,c^2\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{d\,f\,\left(c^2-d^2\right)}-\frac{b\,c^3\,\ln\left(\frac{c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-d\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{d\,f\,{\left(c^2-d^2\right)}^{3/2}}+\frac{b\,c\,\ln\left(\frac{c\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+d\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)-\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,\sqrt{\left(c+d\right)\,\left(c-d\right)}}{d\,f\,\left(c^2-d^2\right)}","Not used",1,"(a*c^2*log((c*sin(e/2 + (f*x)/2) - d*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(c^2 - d^2)^(3/2)) - (a*d^2*log((c*sin(e/2 + (f*x)/2) - d*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(c^2 - d^2)^(3/2)) - (2*b*d*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(f*(c^2 - d^2)) - (a*log((c*cos(e/2 + (f*x)/2) + d*cos(e/2 + (f*x)/2) - sin(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2))*((c + d)*(c - d))^(1/2))/(f*(c^2 - d^2)) + (b*c*d*log((c*sin(e/2 + (f*x)/2) - d*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(c^2 - d^2)^(3/2)) + (2*b*c^2*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(d*f*(c^2 - d^2)) - (b*c^3*log((c*sin(e/2 + (f*x)/2) - d*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2)))/(d*f*(c^2 - d^2)^(3/2)) + (b*c*log((c*cos(e/2 + (f*x)/2) + d*cos(e/2 + (f*x)/2) - sin(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2))/cos(e/2 + (f*x)/2))*((c + d)*(c - d))^(1/2))/(d*f*(c^2 - d^2))","B"
249,1,106,99,2.122194,"\text{Not used}","int((a + b/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c-d}}{\sqrt{c+d}}\right)\,\left(a\,c-b\,d\right)}{f\,{\left(c+d\right)}^{3/2}\,{\left(c-d\right)}^{3/2}}-\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)}{f\,\left(c+d\right)\,\left(c-d\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}","Not used",1,"(2*atanh((tan(e/2 + (f*x)/2)*(c - d)^(1/2))/(c + d)^(1/2))*(a*c - b*d))/(f*(c + d)^(3/2)*(c - d)^(3/2)) - (2*tan(e/2 + (f*x)/2)*(a*d - b*c))/(f*(c + d)*(c - d)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d)))","B"
250,1,250,166,4.987422,"\text{Not used}","int((a + b/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^3),x)","\frac{\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d^2+2\,b\,c^2+2\,b\,d^2-4\,a\,c\,d-b\,c\,d\right)}{\left(c+d\right)\,\left(c^2-2\,c\,d+d^2\right)}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,b\,c^2-a\,d^2+2\,b\,d^2-4\,a\,c\,d+b\,c\,d\right)}{{\left(c+d\right)}^2\,\left(c-d\right)}}{f\,\left(2\,c\,d-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(2\,c^2-2\,d^2\right)+{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(c^2-2\,c\,d+d^2\right)+c^2+d^2\right)}+\frac{\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(c^2-2\,c\,d+d^2\right)}{2\,\sqrt{c+d}\,{\left(c-d\right)}^{5/2}}\right)\,\left(2\,a\,c^2-3\,b\,c\,d+a\,d^2\right)}{f\,{\left(c+d\right)}^{5/2}\,{\left(c-d\right)}^{5/2}}","Not used",1,"((tan(e/2 + (f*x)/2)*(a*d^2 + 2*b*c^2 + 2*b*d^2 - 4*a*c*d - b*c*d))/((c + d)*(c^2 - 2*c*d + d^2)) - (tan(e/2 + (f*x)/2)^3*(2*b*c^2 - a*d^2 + 2*b*d^2 - 4*a*c*d + b*c*d))/((c + d)^2*(c - d)))/(f*(2*c*d - tan(e/2 + (f*x)/2)^2*(2*c^2 - 2*d^2) + tan(e/2 + (f*x)/2)^4*(c^2 - 2*c*d + d^2) + c^2 + d^2)) + (atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(c^2 - 2*c*d + d^2))/(2*(c + d)^(1/2)*(c - d)^(5/2)))*(2*a*c^2 + a*d^2 - 3*b*c*d))/(f*(c + d)^(5/2)*(c - d)^(5/2))","B"
251,1,439,237,6.394676,"\text{Not used}","int((a + b/cos(e + f*x))/(cos(e + f*x)*(c + d/cos(e + f*x))^4),x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(2\,b\,c^3-2\,a\,d^3+b\,d^3-3\,a\,c\,d^2-6\,a\,c^2\,d+6\,b\,c\,d^2+2\,b\,c^2\,d\right)}{{\left(c+d\right)}^3\,\left(c-d\right)}+\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-3\,b\,c^3+9\,a\,c^2\,d-7\,b\,c\,d^2+a\,d^3\right)}{3\,{\left(c+d\right)}^2\,\left(c^2-2\,c\,d+d^2\right)}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d^3-2\,b\,c^3+b\,d^3-3\,a\,c\,d^2+6\,a\,c^2\,d-6\,b\,c\,d^2+2\,b\,c^2\,d\right)}{\left(c+d\right)\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,\left(-3\,c^3-3\,c^2\,d+3\,c\,d^2+3\,d^3\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,\left(-3\,c^3+3\,c^2\,d+3\,c\,d^2-3\,d^3\right)+3\,c\,d^2+3\,c^2\,d+c^3+d^3-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)\right)}+\frac{\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c-2\,d\right)\,\left(c^3-3\,c^2\,d+3\,c\,d^2-d^3\right)}{2\,\sqrt{c+d}\,{\left(c-d\right)}^{7/2}}\right)\,\left(2\,a\,c^3-4\,b\,c^2\,d+3\,a\,c\,d^2-b\,d^3\right)}{f\,{\left(c+d\right)}^{7/2}\,{\left(c-d\right)}^{7/2}}","Not used",1,"((tan(e/2 + (f*x)/2)^5*(2*b*c^3 - 2*a*d^3 + b*d^3 - 3*a*c*d^2 - 6*a*c^2*d + 6*b*c*d^2 + 2*b*c^2*d))/((c + d)^3*(c - d)) + (4*tan(e/2 + (f*x)/2)^3*(a*d^3 - 3*b*c^3 + 9*a*c^2*d - 7*b*c*d^2))/(3*(c + d)^2*(c^2 - 2*c*d + d^2)) - (tan(e/2 + (f*x)/2)*(2*a*d^3 - 2*b*c^3 + b*d^3 - 3*a*c*d^2 + 6*a*c^2*d - 6*b*c*d^2 + 2*b*c^2*d))/((c + d)*(3*c*d^2 - 3*c^2*d + c^3 - d^3)))/(f*(tan(e/2 + (f*x)/2)^2*(3*c*d^2 - 3*c^2*d - 3*c^3 + 3*d^3) - tan(e/2 + (f*x)/2)^4*(3*c*d^2 + 3*c^2*d - 3*c^3 - 3*d^3) + 3*c*d^2 + 3*c^2*d + c^3 + d^3 - tan(e/2 + (f*x)/2)^6*(3*c*d^2 - 3*c^2*d + c^3 - d^3))) + (atanh((tan(e/2 + (f*x)/2)*(2*c - 2*d)*(3*c*d^2 - 3*c^2*d + c^3 - d^3))/(2*(c + d)^(1/2)*(c - d)^(7/2)))*(2*a*c^3 - b*d^3 + 3*a*c*d^2 - 4*b*c^2*d))/(f*(c + d)^(7/2)*(c - d)^(7/2))","B"
252,1,9987,247,11.315193,"\text{Not used}","int((c + d/cos(e + f*x))^4/(cos(e + f*x)*(a + b/cos(e + f*x))),x)","-\frac{\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^2\,d^4-8\,a\,b\,c\,d^3-a\,b\,d^4+12\,b^2\,c^2\,d^2+4\,b^2\,c\,d^3+2\,b^2\,d^4\right)}{b^3}-\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(3\,a^2\,d^4-12\,a\,b\,c\,d^3+18\,b^2\,c^2\,d^2+b^2\,d^4\right)}{3\,b^3}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(2\,a^2\,d^4-8\,a\,b\,c\,d^3+a\,b\,d^4+12\,b^2\,c^2\,d^2-4\,b^2\,c\,d^3+2\,b^2\,d^4\right)}{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)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^{10}}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)\,1{}\mathrm{i}}{b^4}-\frac{\left(\frac{\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^{10}}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)\,1{}\mathrm{i}}{b^4}}{\frac{16\,\left(4\,a^{11}\,d^{12}-48\,a^{10}\,b\,c\,d^{11}-6\,a^{10}\,b\,d^{12}+264\,a^9\,b^2\,c^2\,d^{10}+72\,a^9\,b^2\,c\,d^{11}+6\,a^9\,b^2\,d^{12}+4\,a^8\,b^3\,c^4\,d^8-880\,a^8\,b^3\,c^3\,d^9-384\,a^8\,b^3\,c^2\,d^{10}-72\,a^8\,b^3\,c\,d^{11}-5\,a^8\,b^3\,d^{12}-32\,a^7\,b^4\,c^5\,d^7+1968\,a^7\,b^4\,c^4\,d^8+1216\,a^7\,b^4\,c^3\,d^9+360\,a^7\,b^4\,c^2\,d^{10}+60\,a^7\,b^4\,c\,d^{11}+2\,a^7\,b^4\,d^{12}+112\,a^6\,b^5\,c^6\,d^6-3072\,a^6\,b^5\,c^5\,d^7-2556\,a^6\,b^5\,c^4\,d^8-1008\,a^6\,b^5\,c^3\,d^9-294\,a^6\,b^5\,c^2\,d^{10}-24\,a^6\,b^5\,c\,d^{11}-a^6\,b^5\,d^{12}-224\,a^5\,b^6\,c^7\,d^5+3360\,a^5\,b^6\,c^6\,d^6+3744\,a^5\,b^6\,c^5\,d^7+1756\,a^5\,b^6\,c^4\,d^8+788\,a^5\,b^6\,c^3\,d^9+108\,a^5\,b^6\,c^2\,d^{10}+12\,a^5\,b^6\,c\,d^{11}+276\,a^4\,b^7\,c^8\,d^4-2496\,a^4\,b^7\,c^7\,d^5-3888\,a^4\,b^7\,c^6\,d^6-1952\,a^4\,b^7\,c^5\,d^7-1301\,a^4\,b^7\,c^4\,d^8-232\,a^4\,b^7\,c^3\,d^9-54\,a^4\,b^7\,c^2\,d^{10}-208\,a^3\,b^8\,c^9\,d^3+1148\,a^3\,b^8\,c^8\,d^4+2848\,a^3\,b^8\,c^7\,d^5+1336\,a^3\,b^8\,c^6\,d^6+1384\,a^3\,b^8\,c^5\,d^7+258\,a^3\,b^8\,c^4\,d^8+116\,a^3\,b^8\,c^3\,d^9+88\,a^2\,b^9\,c^{10}\,d^2-240\,a^2\,b^9\,c^9\,d^3-1422\,a^2\,b^9\,c^8\,d^4-496\,a^2\,b^9\,c^7\,d^5-936\,a^2\,b^9\,c^6\,d^6-144\,a^2\,b^9\,c^5\,d^7-129\,a^2\,b^9\,c^4\,d^8-16\,a\,b^{10}\,c^{11}\,d-24\,a\,b^{10}\,c^{10}\,d^2+440\,a\,b^{10}\,c^9\,d^3+62\,a\,b^{10}\,c^8\,d^4+368\,a\,b^{10}\,c^7\,d^5+32\,a\,b^{10}\,c^6\,d^6+72\,a\,b^{10}\,c^5\,d^7+16\,b^{11}\,c^{11}\,d-64\,b^{11}\,c^{10}\,d^2+8\,b^{11}\,c^9\,d^3-64\,b^{11}\,c^8\,d^4-16\,b^{11}\,c^6\,d^6\right)}{b^9}+\frac{\left(\frac{\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^{10}}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}+\frac{\left(\frac{\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^{10}}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)}{b^4}}\right)\,\left(b^2\,\left(6\,a\,c^2\,d^2+\frac{a\,d^4}{2}\right)-b^3\,\left(4\,c^3\,d+2\,c\,d^3\right)+a^3\,d^4-4\,a^2\,b\,c\,d^3\right)\,2{}\mathrm{i}}{b^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)}{b^6\,\left(b^6-a^2\,b^4\right)}\right)}{b^6-a^2\,b^4}\right)\,{\left(a\,d-b\,c\right)}^4\,1{}\mathrm{i}}{b^6-a^2\,b^4}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)}{b^6\,\left(b^6-a^2\,b^4\right)}\right)}{b^6-a^2\,b^4}\right)\,{\left(a\,d-b\,c\right)}^4\,1{}\mathrm{i}}{b^6-a^2\,b^4}}{\frac{16\,\left(4\,a^{11}\,d^{12}-48\,a^{10}\,b\,c\,d^{11}-6\,a^{10}\,b\,d^{12}+264\,a^9\,b^2\,c^2\,d^{10}+72\,a^9\,b^2\,c\,d^{11}+6\,a^9\,b^2\,d^{12}+4\,a^8\,b^3\,c^4\,d^8-880\,a^8\,b^3\,c^3\,d^9-384\,a^8\,b^3\,c^2\,d^{10}-72\,a^8\,b^3\,c\,d^{11}-5\,a^8\,b^3\,d^{12}-32\,a^7\,b^4\,c^5\,d^7+1968\,a^7\,b^4\,c^4\,d^8+1216\,a^7\,b^4\,c^3\,d^9+360\,a^7\,b^4\,c^2\,d^{10}+60\,a^7\,b^4\,c\,d^{11}+2\,a^7\,b^4\,d^{12}+112\,a^6\,b^5\,c^6\,d^6-3072\,a^6\,b^5\,c^5\,d^7-2556\,a^6\,b^5\,c^4\,d^8-1008\,a^6\,b^5\,c^3\,d^9-294\,a^6\,b^5\,c^2\,d^{10}-24\,a^6\,b^5\,c\,d^{11}-a^6\,b^5\,d^{12}-224\,a^5\,b^6\,c^7\,d^5+3360\,a^5\,b^6\,c^6\,d^6+3744\,a^5\,b^6\,c^5\,d^7+1756\,a^5\,b^6\,c^4\,d^8+788\,a^5\,b^6\,c^3\,d^9+108\,a^5\,b^6\,c^2\,d^{10}+12\,a^5\,b^6\,c\,d^{11}+276\,a^4\,b^7\,c^8\,d^4-2496\,a^4\,b^7\,c^7\,d^5-3888\,a^4\,b^7\,c^6\,d^6-1952\,a^4\,b^7\,c^5\,d^7-1301\,a^4\,b^7\,c^4\,d^8-232\,a^4\,b^7\,c^3\,d^9-54\,a^4\,b^7\,c^2\,d^{10}-208\,a^3\,b^8\,c^9\,d^3+1148\,a^3\,b^8\,c^8\,d^4+2848\,a^3\,b^8\,c^7\,d^5+1336\,a^3\,b^8\,c^6\,d^6+1384\,a^3\,b^8\,c^5\,d^7+258\,a^3\,b^8\,c^4\,d^8+116\,a^3\,b^8\,c^3\,d^9+88\,a^2\,b^9\,c^{10}\,d^2-240\,a^2\,b^9\,c^9\,d^3-1422\,a^2\,b^9\,c^8\,d^4-496\,a^2\,b^9\,c^7\,d^5-936\,a^2\,b^9\,c^6\,d^6-144\,a^2\,b^9\,c^5\,d^7-129\,a^2\,b^9\,c^4\,d^8-16\,a\,b^{10}\,c^{11}\,d-24\,a\,b^{10}\,c^{10}\,d^2+440\,a\,b^{10}\,c^9\,d^3+62\,a\,b^{10}\,c^8\,d^4+368\,a\,b^{10}\,c^7\,d^5+32\,a\,b^{10}\,c^6\,d^6+72\,a\,b^{10}\,c^5\,d^7+16\,b^{11}\,c^{11}\,d-64\,b^{11}\,c^{10}\,d^2+8\,b^{11}\,c^9\,d^3-64\,b^{11}\,c^8\,d^4-16\,b^{11}\,c^6\,d^6\right)}{b^9}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)}{b^6\,\left(b^6-a^2\,b^4\right)}\right)}{b^6-a^2\,b^4}\right)\,{\left(a\,d-b\,c\right)}^4}{b^6-a^2\,b^4}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^9\,d^8-64\,a^8\,b\,c\,d^7-16\,a^8\,b\,d^8+224\,a^7\,b^2\,c^2\,d^6+128\,a^7\,b^2\,c\,d^7+16\,a^7\,b^2\,d^8-448\,a^6\,b^3\,c^3\,d^5-448\,a^6\,b^3\,c^2\,d^6-128\,a^6\,b^3\,c\,d^7-16\,a^6\,b^3\,d^8+552\,a^5\,b^4\,c^4\,d^4+896\,a^5\,b^4\,c^3\,d^5+424\,a^5\,b^4\,c^2\,d^6+128\,a^5\,b^4\,c\,d^7+13\,a^5\,b^4\,d^8-416\,a^4\,b^5\,c^5\,d^3-1096\,a^4\,b^5\,c^4\,d^4-784\,a^4\,b^5\,c^3\,d^5-376\,a^4\,b^5\,c^2\,d^6-104\,a^4\,b^5\,c\,d^7-7\,a^4\,b^5\,d^8+176\,a^3\,b^6\,c^6\,d^2+800\,a^3\,b^6\,c^5\,d^3+880\,a^3\,b^6\,c^4\,d^4+560\,a^3\,b^6\,c^3\,d^5+280\,a^3\,b^6\,c^2\,d^6+56\,a^3\,b^6\,c\,d^7+3\,a^3\,b^6\,d^8-32\,a^2\,b^7\,c^7\,d-304\,a^2\,b^7\,c^6\,d^2-576\,a^2\,b^7\,c^5\,d^3-464\,a^2\,b^7\,c^4\,d^4-336\,a^2\,b^7\,c^3\,d^5-136\,a^2\,b^7\,c^2\,d^6-24\,a^2\,b^7\,c\,d^7-a^2\,b^7\,d^8+4\,a\,b^8\,c^8+32\,a\,b^8\,c^7\,d+192\,a\,b^8\,c^6\,d^2+192\,a\,b^8\,c^5\,d^3+192\,a\,b^8\,c^4\,d^4+112\,a\,b^8\,c^3\,d^5+48\,a\,b^8\,c^2\,d^6+8\,a\,b^8\,c\,d^7-4\,b^9\,c^8-64\,b^9\,c^6\,d^2-64\,b^9\,c^4\,d^4-16\,b^9\,c^2\,d^6\right)}{b^6}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\left(-4\,a^5\,b^8\,d^4+16\,a^4\,b^9\,c\,d^3+6\,a^4\,b^9\,d^4-24\,a^3\,b^{10}\,c^2\,d^2-24\,a^3\,b^{10}\,c\,d^3-2\,a^3\,b^{10}\,d^4+4\,a^2\,b^{11}\,c^4+16\,a^2\,b^{11}\,c^3\,d+48\,a^2\,b^{11}\,c^2\,d^2+8\,a^2\,b^{11}\,c\,d^3+2\,a^2\,b^{11}\,d^4-8\,a\,b^{12}\,c^4-32\,a\,b^{12}\,c^3\,d-24\,a\,b^{12}\,c^2\,d^2-8\,a\,b^{12}\,c\,d^3-2\,a\,b^{12}\,d^4+4\,b^{13}\,c^4+16\,b^{13}\,c^3\,d+8\,b^{13}\,c\,d^3\right)}{b^9}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,\left(8\,a^3\,b^8-16\,a^2\,b^9+8\,a\,b^{10}\right)}{b^6\,\left(b^6-a^2\,b^4\right)}\right)}{b^6-a^2\,b^4}\right)\,{\left(a\,d-b\,c\right)}^4}{b^6-a^2\,b^4}}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^4\,2{}\mathrm{i}}{f\,\left(b^6-a^2\,b^4\right)}","Not used",1,"(atan(((((((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 - (8*tan(e/2 + (f*x)/2)*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^10)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4 + (8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3)*1i)/b^4 - (((((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 + (8*tan(e/2 + (f*x)/2)*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^10)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4 - (8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3)*1i)/b^4)/((16*(4*a^11*d^12 - 6*a^10*b*d^12 + 16*b^11*c^11*d - a^6*b^5*d^12 + 2*a^7*b^4*d^12 - 5*a^8*b^3*d^12 + 6*a^9*b^2*d^12 - 16*b^11*c^6*d^6 - 64*b^11*c^8*d^4 + 8*b^11*c^9*d^3 - 64*b^11*c^10*d^2 + 72*a*b^10*c^5*d^7 + 32*a*b^10*c^6*d^6 + 368*a*b^10*c^7*d^5 + 62*a*b^10*c^8*d^4 + 440*a*b^10*c^9*d^3 - 24*a*b^10*c^10*d^2 + 12*a^5*b^6*c*d^11 - 24*a^6*b^5*c*d^11 + 60*a^7*b^4*c*d^11 - 72*a^8*b^3*c*d^11 + 72*a^9*b^2*c*d^11 - 129*a^2*b^9*c^4*d^8 - 144*a^2*b^9*c^5*d^7 - 936*a^2*b^9*c^6*d^6 - 496*a^2*b^9*c^7*d^5 - 1422*a^2*b^9*c^8*d^4 - 240*a^2*b^9*c^9*d^3 + 88*a^2*b^9*c^10*d^2 + 116*a^3*b^8*c^3*d^9 + 258*a^3*b^8*c^4*d^8 + 1384*a^3*b^8*c^5*d^7 + 1336*a^3*b^8*c^6*d^6 + 2848*a^3*b^8*c^7*d^5 + 1148*a^3*b^8*c^8*d^4 - 208*a^3*b^8*c^9*d^3 - 54*a^4*b^7*c^2*d^10 - 232*a^4*b^7*c^3*d^9 - 1301*a^4*b^7*c^4*d^8 - 1952*a^4*b^7*c^5*d^7 - 3888*a^4*b^7*c^6*d^6 - 2496*a^4*b^7*c^7*d^5 + 276*a^4*b^7*c^8*d^4 + 108*a^5*b^6*c^2*d^10 + 788*a^5*b^6*c^3*d^9 + 1756*a^5*b^6*c^4*d^8 + 3744*a^5*b^6*c^5*d^7 + 3360*a^5*b^6*c^6*d^6 - 224*a^5*b^6*c^7*d^5 - 294*a^6*b^5*c^2*d^10 - 1008*a^6*b^5*c^3*d^9 - 2556*a^6*b^5*c^4*d^8 - 3072*a^6*b^5*c^5*d^7 + 112*a^6*b^5*c^6*d^6 + 360*a^7*b^4*c^2*d^10 + 1216*a^7*b^4*c^3*d^9 + 1968*a^7*b^4*c^4*d^8 - 32*a^7*b^4*c^5*d^7 - 384*a^8*b^3*c^2*d^10 - 880*a^8*b^3*c^3*d^9 + 4*a^8*b^3*c^4*d^8 + 264*a^9*b^2*c^2*d^10 - 16*a*b^10*c^11*d - 48*a^10*b*c*d^11))/b^9 + (((((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 - (8*tan(e/2 + (f*x)/2)*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^10)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4 + (8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4 + (((((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 + (8*tan(e/2 + (f*x)/2)*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^10)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4 - (8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6)*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3))/b^4))*(b^2*((a*d^4)/2 + 6*a*c^2*d^2) - b^3*(2*c*d^3 + 4*c^3*d) + a^3*d^4 - 4*a^2*b*c*d^3)*2i)/(b^4*f) - ((tan(e/2 + (f*x)/2)*(2*a^2*d^4 + 2*b^2*d^4 + 4*b^2*c*d^3 + 12*b^2*c^2*d^2 - a*b*d^4 - 8*a*b*c*d^3))/b^3 - (4*tan(e/2 + (f*x)/2)^3*(3*a^2*d^4 + b^2*d^4 + 18*b^2*c^2*d^2 - 12*a*b*c*d^3))/(3*b^3) + (tan(e/2 + (f*x)/2)^5*(2*a^2*d^4 + 2*b^2*d^4 - 4*b^2*c*d^3 + 12*b^2*c^2*d^2 + a*b*d^4 - 8*a*b*c*d^3))/b^3)/(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)) + (atan(((((a + b)*(a - b))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6 + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 - (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8))/(b^6*(b^6 - a^2*b^4))))/(b^6 - a^2*b^4))*(a*d - b*c)^4*1i)/(b^6 - a^2*b^4) + (((a + b)*(a - b))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6 - (((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 + (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8))/(b^6*(b^6 - a^2*b^4))))/(b^6 - a^2*b^4))*(a*d - b*c)^4*1i)/(b^6 - a^2*b^4))/((16*(4*a^11*d^12 - 6*a^10*b*d^12 + 16*b^11*c^11*d - a^6*b^5*d^12 + 2*a^7*b^4*d^12 - 5*a^8*b^3*d^12 + 6*a^9*b^2*d^12 - 16*b^11*c^6*d^6 - 64*b^11*c^8*d^4 + 8*b^11*c^9*d^3 - 64*b^11*c^10*d^2 + 72*a*b^10*c^5*d^7 + 32*a*b^10*c^6*d^6 + 368*a*b^10*c^7*d^5 + 62*a*b^10*c^8*d^4 + 440*a*b^10*c^9*d^3 - 24*a*b^10*c^10*d^2 + 12*a^5*b^6*c*d^11 - 24*a^6*b^5*c*d^11 + 60*a^7*b^4*c*d^11 - 72*a^8*b^3*c*d^11 + 72*a^9*b^2*c*d^11 - 129*a^2*b^9*c^4*d^8 - 144*a^2*b^9*c^5*d^7 - 936*a^2*b^9*c^6*d^6 - 496*a^2*b^9*c^7*d^5 - 1422*a^2*b^9*c^8*d^4 - 240*a^2*b^9*c^9*d^3 + 88*a^2*b^9*c^10*d^2 + 116*a^3*b^8*c^3*d^9 + 258*a^3*b^8*c^4*d^8 + 1384*a^3*b^8*c^5*d^7 + 1336*a^3*b^8*c^6*d^6 + 2848*a^3*b^8*c^7*d^5 + 1148*a^3*b^8*c^8*d^4 - 208*a^3*b^8*c^9*d^3 - 54*a^4*b^7*c^2*d^10 - 232*a^4*b^7*c^3*d^9 - 1301*a^4*b^7*c^4*d^8 - 1952*a^4*b^7*c^5*d^7 - 3888*a^4*b^7*c^6*d^6 - 2496*a^4*b^7*c^7*d^5 + 276*a^4*b^7*c^8*d^4 + 108*a^5*b^6*c^2*d^10 + 788*a^5*b^6*c^3*d^9 + 1756*a^5*b^6*c^4*d^8 + 3744*a^5*b^6*c^5*d^7 + 3360*a^5*b^6*c^6*d^6 - 224*a^5*b^6*c^7*d^5 - 294*a^6*b^5*c^2*d^10 - 1008*a^6*b^5*c^3*d^9 - 2556*a^6*b^5*c^4*d^8 - 3072*a^6*b^5*c^5*d^7 + 112*a^6*b^5*c^6*d^6 + 360*a^7*b^4*c^2*d^10 + 1216*a^7*b^4*c^3*d^9 + 1968*a^7*b^4*c^4*d^8 - 32*a^7*b^4*c^5*d^7 - 384*a^8*b^3*c^2*d^10 - 880*a^8*b^3*c^3*d^9 + 4*a^8*b^3*c^4*d^8 + 264*a^9*b^2*c^2*d^10 - 16*a*b^10*c^11*d - 48*a^10*b*c*d^11))/b^9 + (((a + b)*(a - b))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6 + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 - (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8))/(b^6*(b^6 - a^2*b^4))))/(b^6 - a^2*b^4))*(a*d - b*c)^4)/(b^6 - a^2*b^4) - (((a + b)*(a - b))^(1/2)*((8*tan(e/2 + (f*x)/2)*(8*a^9*d^8 - 4*b^9*c^8 + 4*a*b^8*c^8 - 16*a^8*b*d^8 - a^2*b^7*d^8 + 3*a^3*b^6*d^8 - 7*a^4*b^5*d^8 + 13*a^5*b^4*d^8 - 16*a^6*b^3*d^8 + 16*a^7*b^2*d^8 - 16*b^9*c^2*d^6 - 64*b^9*c^4*d^4 - 64*b^9*c^6*d^2 + 48*a*b^8*c^2*d^6 + 112*a*b^8*c^3*d^5 + 192*a*b^8*c^4*d^4 + 192*a*b^8*c^5*d^3 + 192*a*b^8*c^6*d^2 - 24*a^2*b^7*c*d^7 - 32*a^2*b^7*c^7*d + 56*a^3*b^6*c*d^7 - 104*a^4*b^5*c*d^7 + 128*a^5*b^4*c*d^7 - 128*a^6*b^3*c*d^7 + 128*a^7*b^2*c*d^7 - 136*a^2*b^7*c^2*d^6 - 336*a^2*b^7*c^3*d^5 - 464*a^2*b^7*c^4*d^4 - 576*a^2*b^7*c^5*d^3 - 304*a^2*b^7*c^6*d^2 + 280*a^3*b^6*c^2*d^6 + 560*a^3*b^6*c^3*d^5 + 880*a^3*b^6*c^4*d^4 + 800*a^3*b^6*c^5*d^3 + 176*a^3*b^6*c^6*d^2 - 376*a^4*b^5*c^2*d^6 - 784*a^4*b^5*c^3*d^5 - 1096*a^4*b^5*c^4*d^4 - 416*a^4*b^5*c^5*d^3 + 424*a^5*b^4*c^2*d^6 + 896*a^5*b^4*c^3*d^5 + 552*a^5*b^4*c^4*d^4 - 448*a^6*b^3*c^2*d^6 - 448*a^6*b^3*c^3*d^5 + 224*a^7*b^2*c^2*d^6 + 8*a*b^8*c*d^7 + 32*a*b^8*c^7*d - 64*a^8*b*c*d^7))/b^6 - (((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*((8*(4*b^13*c^4 - 8*a*b^12*c^4 - 2*a*b^12*d^4 + 8*b^13*c*d^3 + 16*b^13*c^3*d + 4*a^2*b^11*c^4 + 2*a^2*b^11*d^4 - 2*a^3*b^10*d^4 + 6*a^4*b^9*d^4 - 4*a^5*b^8*d^4 - 24*a*b^12*c^2*d^2 + 8*a^2*b^11*c*d^3 + 16*a^2*b^11*c^3*d - 24*a^3*b^10*c*d^3 + 16*a^4*b^9*c*d^3 + 48*a^2*b^11*c^2*d^2 - 24*a^3*b^10*c^2*d^2 - 8*a*b^12*c*d^3 - 32*a*b^12*c^3*d))/b^9 + (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*(8*a*b^10 - 16*a^2*b^9 + 8*a^3*b^8))/(b^6*(b^6 - a^2*b^4))))/(b^6 - a^2*b^4))*(a*d - b*c)^4)/(b^6 - a^2*b^4)))*((a + b)*(a - b))^(1/2)*(a*d - b*c)^4*2i)/(f*(b^6 - a^2*b^4))","B"
253,1,6730,170,9.660527,"\text{Not used}","int((c + d/cos(e + f*x))^3/(cos(e + f*x)*(a + b/cos(e + f*x))),x)","\frac{\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b\,d^3-2\,a\,d^3+6\,b\,c\,d^2\right)}{b^2}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(2\,a\,d^3+b\,d^3-6\,b\,c\,d^2\right)}{b^2}}{f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+1\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}+\frac{\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^7}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)\,1{}\mathrm{i}}{b^3}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}-\frac{\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^7}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)\,1{}\mathrm{i}}{b^3}}{\frac{16\,\left(4\,a^8\,d^9-36\,a^7\,b\,c\,d^8-6\,a^7\,b\,d^9-4\,a^6\,b^2\,c^3\,d^6+144\,a^6\,b^2\,c^2\,d^7+48\,a^6\,b^2\,c\,d^8+6\,a^6\,b^2\,d^9+24\,a^5\,b^3\,c^4\,d^5-324\,a^5\,b^3\,c^3\,d^6-174\,a^5\,b^3\,c^2\,d^7-36\,a^5\,b^3\,c\,d^8-5\,a^5\,b^3\,d^9-60\,a^4\,b^4\,c^5\,d^4+432\,a^4\,b^4\,c^4\,d^5+364\,a^4\,b^4\,c^3\,d^6+90\,a^4\,b^4\,c^2\,d^7+27\,a^4\,b^4\,c\,d^8+2\,a^4\,b^4\,d^9+76\,a^3\,b^5\,c^6\,d^3-324\,a^3\,b^5\,c^5\,d^4-474\,a^3\,b^5\,c^4\,d^5-112\,a^3\,b^5\,c^3\,d^6-63\,a^3\,b^5\,c^2\,d^7-6\,a^3\,b^5\,c\,d^8-a^3\,b^5\,d^9-48\,a^2\,b^6\,c^7\,d^2+104\,a^2\,b^6\,c^6\,d^3+384\,a^2\,b^6\,c^5\,d^4+66\,a^2\,b^6\,c^4\,d^5+77\,a^2\,b^6\,c^3\,d^6+6\,a^2\,b^6\,c^2\,d^7+3\,a^2\,b^6\,c\,d^8+12\,a\,b^7\,c^8\,d+12\,a\,b^7\,c^7\,d^2-178\,a\,b^7\,c^6\,d^3-12\,a\,b^7\,c^5\,d^4-48\,a\,b^7\,c^4\,d^5-2\,a\,b^7\,c^3\,d^6-3\,a\,b^7\,c^2\,d^7-12\,b^8\,c^8\,d+36\,b^8\,c^7\,d^2-2\,b^8\,c^6\,d^3+12\,b^8\,c^5\,d^4+b^8\,c^3\,d^6\right)}{b^6}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}+\frac{\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^7}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}-\frac{\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^7}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)}{b^3}}\right)\,\left(b^2\,\left(3\,c^2\,d+\frac{d^3}{2}\right)+a^2\,d^3-3\,a\,b\,c\,d^2\right)\,2{}\mathrm{i}}{b^3\,f}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)}{b^4\,\left(b^5-a^2\,b^3\right)}\right)}{b^5-a^2\,b^3}\right)\,1{}\mathrm{i}}{b^5-a^2\,b^3}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)}{b^4\,\left(b^5-a^2\,b^3\right)}\right)}{b^5-a^2\,b^3}\right)\,1{}\mathrm{i}}{b^5-a^2\,b^3}}{\frac{16\,\left(4\,a^8\,d^9-36\,a^7\,b\,c\,d^8-6\,a^7\,b\,d^9-4\,a^6\,b^2\,c^3\,d^6+144\,a^6\,b^2\,c^2\,d^7+48\,a^6\,b^2\,c\,d^8+6\,a^6\,b^2\,d^9+24\,a^5\,b^3\,c^4\,d^5-324\,a^5\,b^3\,c^3\,d^6-174\,a^5\,b^3\,c^2\,d^7-36\,a^5\,b^3\,c\,d^8-5\,a^5\,b^3\,d^9-60\,a^4\,b^4\,c^5\,d^4+432\,a^4\,b^4\,c^4\,d^5+364\,a^4\,b^4\,c^3\,d^6+90\,a^4\,b^4\,c^2\,d^7+27\,a^4\,b^4\,c\,d^8+2\,a^4\,b^4\,d^9+76\,a^3\,b^5\,c^6\,d^3-324\,a^3\,b^5\,c^5\,d^4-474\,a^3\,b^5\,c^4\,d^5-112\,a^3\,b^5\,c^3\,d^6-63\,a^3\,b^5\,c^2\,d^7-6\,a^3\,b^5\,c\,d^8-a^3\,b^5\,d^9-48\,a^2\,b^6\,c^7\,d^2+104\,a^2\,b^6\,c^6\,d^3+384\,a^2\,b^6\,c^5\,d^4+66\,a^2\,b^6\,c^4\,d^5+77\,a^2\,b^6\,c^3\,d^6+6\,a^2\,b^6\,c^2\,d^7+3\,a^2\,b^6\,c\,d^8+12\,a\,b^7\,c^8\,d+12\,a\,b^7\,c^7\,d^2-178\,a\,b^7\,c^6\,d^3-12\,a\,b^7\,c^5\,d^4-48\,a\,b^7\,c^4\,d^5-2\,a\,b^7\,c^3\,d^6-3\,a\,b^7\,c^2\,d^7-12\,b^8\,c^8\,d+36\,b^8\,c^7\,d^2-2\,b^8\,c^6\,d^3+12\,b^8\,c^5\,d^4+b^8\,c^3\,d^6\right)}{b^6}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)}{b^4\,\left(b^5-a^2\,b^3\right)}\right)}{b^5-a^2\,b^3}\right)}{b^5-a^2\,b^3}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^7\,d^6-48\,a^6\,b\,c\,d^5-16\,a^6\,b\,d^6+120\,a^5\,b^2\,c^2\,d^4+96\,a^5\,b^2\,c\,d^5+16\,a^5\,b^2\,d^6-152\,a^4\,b^3\,c^3\,d^3-240\,a^4\,b^3\,c^2\,d^4-84\,a^4\,b^3\,c\,d^5-16\,a^4\,b^3\,d^6+96\,a^3\,b^4\,c^4\,d^2+296\,a^3\,b^4\,c^3\,d^3+192\,a^3\,b^4\,c^2\,d^4+60\,a^3\,b^4\,c\,d^5+13\,a^3\,b^4\,d^6-24\,a^2\,b^5\,c^5\,d-168\,a^2\,b^5\,c^4\,d^2-216\,a^2\,b^5\,c^3\,d^3-96\,a^2\,b^5\,c^2\,d^4-36\,a^2\,b^5\,c\,d^5-7\,a^2\,b^5\,d^6+4\,a\,b^6\,c^6+24\,a\,b^6\,c^5\,d+108\,a\,b^6\,c^4\,d^2+72\,a\,b^6\,c^3\,d^3+36\,a\,b^6\,c^2\,d^4+12\,a\,b^6\,c\,d^5+3\,a\,b^6\,d^6-4\,b^7\,c^6-36\,b^7\,c^4\,d^2-12\,b^7\,c^2\,d^4-b^7\,d^6\right)}{b^4}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(\frac{8\,\left(4\,a^4\,b^6\,d^3-12\,a^3\,b^7\,c\,d^2-6\,a^3\,b^7\,d^3+4\,a^2\,b^8\,c^3+12\,a^2\,b^8\,c^2\,d+24\,a^2\,b^8\,c\,d^2+2\,a^2\,b^8\,d^3-8\,a\,b^9\,c^3-24\,a\,b^9\,c^2\,d-12\,a\,b^9\,c\,d^2-2\,a\,b^9\,d^3+4\,b^{10}\,c^3+12\,b^{10}\,c^2\,d+2\,b^{10}\,d^3\right)}{b^6}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,\left(8\,a^3\,b^6-16\,a^2\,b^7+8\,a\,b^8\right)}{b^4\,\left(b^5-a^2\,b^3\right)}\right)}{b^5-a^2\,b^3}\right)}{b^5-a^2\,b^3}}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^3\,2{}\mathrm{i}}{f\,\left(b^5-a^2\,b^3\right)}","Not used",1,"((tan(e/2 + (f*x)/2)*(b*d^3 - 2*a*d^3 + 6*b*c*d^2))/b^2 + (tan(e/2 + (f*x)/2)^3*(2*a*d^3 + b*d^3 - 6*b*c*d^2))/b^2)/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1)) - (atan(((((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 + (((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 - (8*tan(e/2 + (f*x)/2)*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^7)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2)*1i)/b^3 + (((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 - (((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 + (8*tan(e/2 + (f*x)/2)*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^7)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2)*1i)/b^3)/((16*(4*a^8*d^9 - 6*a^7*b*d^9 - 12*b^8*c^8*d - a^3*b^5*d^9 + 2*a^4*b^4*d^9 - 5*a^5*b^3*d^9 + 6*a^6*b^2*d^9 + b^8*c^3*d^6 + 12*b^8*c^5*d^4 - 2*b^8*c^6*d^3 + 36*b^8*c^7*d^2 - 3*a*b^7*c^2*d^7 - 2*a*b^7*c^3*d^6 - 48*a*b^7*c^4*d^5 - 12*a*b^7*c^5*d^4 - 178*a*b^7*c^6*d^3 + 12*a*b^7*c^7*d^2 + 3*a^2*b^6*c*d^8 - 6*a^3*b^5*c*d^8 + 27*a^4*b^4*c*d^8 - 36*a^5*b^3*c*d^8 + 48*a^6*b^2*c*d^8 + 6*a^2*b^6*c^2*d^7 + 77*a^2*b^6*c^3*d^6 + 66*a^2*b^6*c^4*d^5 + 384*a^2*b^6*c^5*d^4 + 104*a^2*b^6*c^6*d^3 - 48*a^2*b^6*c^7*d^2 - 63*a^3*b^5*c^2*d^7 - 112*a^3*b^5*c^3*d^6 - 474*a^3*b^5*c^4*d^5 - 324*a^3*b^5*c^5*d^4 + 76*a^3*b^5*c^6*d^3 + 90*a^4*b^4*c^2*d^7 + 364*a^4*b^4*c^3*d^6 + 432*a^4*b^4*c^4*d^5 - 60*a^4*b^4*c^5*d^4 - 174*a^5*b^3*c^2*d^7 - 324*a^5*b^3*c^3*d^6 + 24*a^5*b^3*c^4*d^5 + 144*a^6*b^2*c^2*d^7 - 4*a^6*b^2*c^3*d^6 + 12*a*b^7*c^8*d - 36*a^7*b*c*d^8))/b^6 - (((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 + (((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 - (8*tan(e/2 + (f*x)/2)*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^7)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3 + (((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 - (((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 + (8*tan(e/2 + (f*x)/2)*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^7)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3)*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2))/b^3))*(b^2*(3*c^2*d + d^3/2) + a^2*d^3 - 3*a*b*c*d^2)*2i)/(b^3*f) - (atan(((((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 - (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6))/(b^4*(b^5 - a^2*b^3))))/(b^5 - a^2*b^3))*1i)/(b^5 - a^2*b^3) + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 - (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 + (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6))/(b^4*(b^5 - a^2*b^3))))/(b^5 - a^2*b^3))*1i)/(b^5 - a^2*b^3))/((16*(4*a^8*d^9 - 6*a^7*b*d^9 - 12*b^8*c^8*d - a^3*b^5*d^9 + 2*a^4*b^4*d^9 - 5*a^5*b^3*d^9 + 6*a^6*b^2*d^9 + b^8*c^3*d^6 + 12*b^8*c^5*d^4 - 2*b^8*c^6*d^3 + 36*b^8*c^7*d^2 - 3*a*b^7*c^2*d^7 - 2*a*b^7*c^3*d^6 - 48*a*b^7*c^4*d^5 - 12*a*b^7*c^5*d^4 - 178*a*b^7*c^6*d^3 + 12*a*b^7*c^7*d^2 + 3*a^2*b^6*c*d^8 - 6*a^3*b^5*c*d^8 + 27*a^4*b^4*c*d^8 - 36*a^5*b^3*c*d^8 + 48*a^6*b^2*c*d^8 + 6*a^2*b^6*c^2*d^7 + 77*a^2*b^6*c^3*d^6 + 66*a^2*b^6*c^4*d^5 + 384*a^2*b^6*c^5*d^4 + 104*a^2*b^6*c^6*d^3 - 48*a^2*b^6*c^7*d^2 - 63*a^3*b^5*c^2*d^7 - 112*a^3*b^5*c^3*d^6 - 474*a^3*b^5*c^4*d^5 - 324*a^3*b^5*c^5*d^4 + 76*a^3*b^5*c^6*d^3 + 90*a^4*b^4*c^2*d^7 + 364*a^4*b^4*c^3*d^6 + 432*a^4*b^4*c^4*d^5 - 60*a^4*b^4*c^5*d^4 - 174*a^5*b^3*c^2*d^7 - 324*a^5*b^3*c^3*d^6 + 24*a^5*b^3*c^4*d^5 + 144*a^6*b^2*c^2*d^7 - 4*a^6*b^2*c^3*d^6 + 12*a*b^7*c^8*d - 36*a^7*b*c*d^8))/b^6 - (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 - (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6))/(b^4*(b^5 - a^2*b^3))))/(b^5 - a^2*b^3)))/(b^5 - a^2*b^3) + (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*tan(e/2 + (f*x)/2)*(8*a^7*d^6 - 4*b^7*c^6 - b^7*d^6 + 4*a*b^6*c^6 + 3*a*b^6*d^6 - 16*a^6*b*d^6 - 7*a^2*b^5*d^6 + 13*a^3*b^4*d^6 - 16*a^4*b^3*d^6 + 16*a^5*b^2*d^6 - 12*b^7*c^2*d^4 - 36*b^7*c^4*d^2 + 36*a*b^6*c^2*d^4 + 72*a*b^6*c^3*d^3 + 108*a*b^6*c^4*d^2 - 36*a^2*b^5*c*d^5 - 24*a^2*b^5*c^5*d + 60*a^3*b^4*c*d^5 - 84*a^4*b^3*c*d^5 + 96*a^5*b^2*c*d^5 - 96*a^2*b^5*c^2*d^4 - 216*a^2*b^5*c^3*d^3 - 168*a^2*b^5*c^4*d^2 + 192*a^3*b^4*c^2*d^4 + 296*a^3*b^4*c^3*d^3 + 96*a^3*b^4*c^4*d^2 - 240*a^4*b^3*c^2*d^4 - 152*a^4*b^3*c^3*d^3 + 120*a^5*b^2*c^2*d^4 + 12*a*b^6*c*d^5 + 24*a*b^6*c^5*d - 48*a^6*b*c*d^5))/b^4 - (((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*((8*(4*b^10*c^3 + 2*b^10*d^3 - 8*a*b^9*c^3 - 2*a*b^9*d^3 + 12*b^10*c^2*d + 4*a^2*b^8*c^3 + 2*a^2*b^8*d^3 - 6*a^3*b^7*d^3 + 4*a^4*b^6*d^3 + 24*a^2*b^8*c*d^2 + 12*a^2*b^8*c^2*d - 12*a^3*b^7*c*d^2 - 12*a*b^9*c*d^2 - 24*a*b^9*c^2*d))/b^6 + (8*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*(8*a*b^8 - 16*a^2*b^7 + 8*a^3*b^6))/(b^4*(b^5 - a^2*b^3))))/(b^5 - a^2*b^3)))/(b^5 - a^2*b^3)))*((a + b)*(a - b))^(1/2)*(a*d - b*c)^3*2i)/(f*(b^5 - a^2*b^3))","B"
254,1,3559,103,7.316167,"\text{Not used}","int((c + d/cos(e + f*x))^2/(cos(e + f*x)*(a + b/cos(e + f*x))),x)","-\frac{2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{b\,f\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^2\,\left(b^4-a^2\,b^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}\right)\,{\left(a\,d-b\,c\right)}^2\,1{}\mathrm{i}}{b^4-a^2\,b^2}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^2\,\left(b^4-a^2\,b^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}\right)\,{\left(a\,d-b\,c\right)}^2\,1{}\mathrm{i}}{b^4-a^2\,b^2}}{\frac{64\,\left(-a^5\,d^6-a^4\,b\,c^2\,d^4+6\,a^4\,b\,c\,d^5+a^4\,b\,d^6+4\,a^3\,b^2\,c^3\,d^3-12\,a^3\,b^2\,c^2\,d^4-6\,a^3\,b^2\,c\,d^5-5\,a^2\,b^3\,c^4\,d^2+8\,a^2\,b^3\,c^3\,d^3+13\,a^2\,b^3\,c^2\,d^4+2\,a\,b^4\,c^5\,d+a\,b^4\,c^4\,d^2-12\,a\,b^4\,c^3\,d^3-2\,b^5\,c^5\,d+4\,b^5\,c^4\,d^2\right)}{b^3}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^2\,\left(b^4-a^2\,b^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}+\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}-\frac{\sqrt{\left(a+b\right)\,\left(a-b\right)}\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^2\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^2\,\left(b^4-a^2\,b^2\right)}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}\right)\,{\left(a\,d-b\,c\right)}^2}{b^4-a^2\,b^2}}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}\,{\left(a\,d-b\,c\right)}^2\,2{}\mathrm{i}}{f\,\left(b^4-a^2\,b^2\right)}-\frac{d\,\mathrm{atan}\left(\frac{\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}-\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-2\,b\,c\right)\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^4}\right)}{b^2}\right)\,1{}\mathrm{i}}{b^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}-\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}+\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-2\,b\,c\right)\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^4}\right)}{b^2}\right)\,1{}\mathrm{i}}{b^2}}{\frac{64\,\left(-a^5\,d^6-a^4\,b\,c^2\,d^4+6\,a^4\,b\,c\,d^5+a^4\,b\,d^6+4\,a^3\,b^2\,c^3\,d^3-12\,a^3\,b^2\,c^2\,d^4-6\,a^3\,b^2\,c\,d^5-5\,a^2\,b^3\,c^4\,d^2+8\,a^2\,b^3\,c^3\,d^3+13\,a^2\,b^3\,c^2\,d^4+2\,a\,b^4\,c^5\,d+a\,b^4\,c^4\,d^2-12\,a\,b^4\,c^3\,d^3-2\,b^5\,c^5\,d+4\,b^5\,c^4\,d^2\right)}{b^3}-\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}-\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-2\,b\,c\right)\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^4}\right)}{b^2}\right)}{b^2}+\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^5\,d^4-8\,a^4\,b\,c\,d^3-4\,a^4\,b\,d^4+10\,a^3\,b^2\,c^2\,d^2+16\,a^3\,b^2\,c\,d^3+3\,a^3\,b^2\,d^4-4\,a^2\,b^3\,c^3\,d-18\,a^2\,b^3\,c^2\,d^2-12\,a^2\,b^3\,c\,d^3-a^2\,b^3\,d^4+a\,b^4\,c^4+4\,a\,b^4\,c^3\,d+12\,a\,b^4\,c^2\,d^2+4\,a\,b^4\,c\,d^3-b^5\,c^4-4\,b^5\,c^2\,d^2\right)}{b^2}-\frac{d\,\left(a\,d-2\,b\,c\right)\,\left(\frac{32\,\left(-a^3\,b^4\,d^2+a^2\,b^5\,c^2+2\,a^2\,b^5\,c\,d+2\,a^2\,b^5\,d^2-2\,a\,b^6\,c^2-4\,a\,b^6\,c\,d-a\,b^6\,d^2+b^7\,c^2+2\,b^7\,c\,d\right)}{b^3}+\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-2\,b\,c\right)\,\left(2\,a^3\,b^4-4\,a^2\,b^5+2\,a\,b^6\right)}{b^4}\right)}{b^2}\right)}{b^2}}\right)\,\left(a\,d-2\,b\,c\right)\,2{}\mathrm{i}}{b^2\,f}","Not used",1,"- (2*d^2*tan(e/2 + (f*x)/2))/(b*f*(tan(e/2 + (f*x)/2)^2 - 1)) - (atan(((((a + b)*(a - b))^(1/2)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 + (((a + b)*(a - b))^(1/2)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 - (32*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^2*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/(b^2*(b^4 - a^2*b^2)))*(a*d - b*c)^2)/(b^4 - a^2*b^2))*(a*d - b*c)^2*1i)/(b^4 - a^2*b^2) + (((a + b)*(a - b))^(1/2)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 - (((a + b)*(a - b))^(1/2)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 + (32*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^2*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/(b^2*(b^4 - a^2*b^2)))*(a*d - b*c)^2)/(b^4 - a^2*b^2))*(a*d - b*c)^2*1i)/(b^4 - a^2*b^2))/((64*(a^4*b*d^6 - a^5*d^6 - 2*b^5*c^5*d + 4*b^5*c^4*d^2 - 12*a*b^4*c^3*d^3 + a*b^4*c^4*d^2 - 6*a^3*b^2*c*d^5 - a^4*b*c^2*d^4 + 13*a^2*b^3*c^2*d^4 + 8*a^2*b^3*c^3*d^3 - 5*a^2*b^3*c^4*d^2 - 12*a^3*b^2*c^2*d^4 + 4*a^3*b^2*c^3*d^3 + 2*a*b^4*c^5*d + 6*a^4*b*c*d^5))/b^3 - (((a + b)*(a - b))^(1/2)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 + (((a + b)*(a - b))^(1/2)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 - (32*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^2*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/(b^2*(b^4 - a^2*b^2)))*(a*d - b*c)^2)/(b^4 - a^2*b^2))*(a*d - b*c)^2)/(b^4 - a^2*b^2) + (((a + b)*(a - b))^(1/2)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 - (((a + b)*(a - b))^(1/2)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 + (32*tan(e/2 + (f*x)/2)*((a + b)*(a - b))^(1/2)*(a*d - b*c)^2*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/(b^2*(b^4 - a^2*b^2)))*(a*d - b*c)^2)/(b^4 - a^2*b^2))*(a*d - b*c)^2)/(b^4 - a^2*b^2)))*((a + b)*(a - b))^(1/2)*(a*d - b*c)^2*2i)/(f*(b^4 - a^2*b^2)) - (d*atan(((d*(a*d - 2*b*c)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 + (d*(a*d - 2*b*c)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 - (32*d*tan(e/2 + (f*x)/2)*(a*d - 2*b*c)*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/b^4))/b^2)*1i)/b^2 + (d*(a*d - 2*b*c)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 - (d*(a*d - 2*b*c)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 + (32*d*tan(e/2 + (f*x)/2)*(a*d - 2*b*c)*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/b^4))/b^2)*1i)/b^2)/((64*(a^4*b*d^6 - a^5*d^6 - 2*b^5*c^5*d + 4*b^5*c^4*d^2 - 12*a*b^4*c^3*d^3 + a*b^4*c^4*d^2 - 6*a^3*b^2*c*d^5 - a^4*b*c^2*d^4 + 13*a^2*b^3*c^2*d^4 + 8*a^2*b^3*c^3*d^3 - 5*a^2*b^3*c^4*d^2 - 12*a^3*b^2*c^2*d^4 + 4*a^3*b^2*c^3*d^3 + 2*a*b^4*c^5*d + 6*a^4*b*c*d^5))/b^3 - (d*(a*d - 2*b*c)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 + (d*(a*d - 2*b*c)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 - (32*d*tan(e/2 + (f*x)/2)*(a*d - 2*b*c)*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/b^4))/b^2))/b^2 + (d*(a*d - 2*b*c)*((32*tan(e/2 + (f*x)/2)*(2*a^5*d^4 - b^5*c^4 + a*b^4*c^4 - 4*a^4*b*d^4 - a^2*b^3*d^4 + 3*a^3*b^2*d^4 - 4*b^5*c^2*d^2 + 12*a*b^4*c^2*d^2 - 12*a^2*b^3*c*d^3 - 4*a^2*b^3*c^3*d + 16*a^3*b^2*c*d^3 - 18*a^2*b^3*c^2*d^2 + 10*a^3*b^2*c^2*d^2 + 4*a*b^4*c*d^3 + 4*a*b^4*c^3*d - 8*a^4*b*c*d^3))/b^2 - (d*(a*d - 2*b*c)*((32*(b^7*c^2 - 2*a*b^6*c^2 - a*b^6*d^2 + a^2*b^5*c^2 + 2*a^2*b^5*d^2 - a^3*b^4*d^2 + 2*b^7*c*d - 4*a*b^6*c*d + 2*a^2*b^5*c*d))/b^3 + (32*d*tan(e/2 + (f*x)/2)*(a*d - 2*b*c)*(2*a*b^6 - 4*a^2*b^5 + 2*a^3*b^4))/b^4))/b^2))/b^2))*(a*d - 2*b*c)*2i)/(b^2*f)","B"
255,1,571,76,2.809783,"\text{Not used}","int((c + d/cos(e + f*x))/(cos(e + f*x)*(a + b/cos(e + f*x))),x)","\frac{b^2\,c\,\ln\left(\frac{b\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-a\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(a^2-b^2\right)}^{3/2}}-\frac{a^2\,c\,\ln\left(\frac{b\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-a\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(a^2-b^2\right)}^{3/2}}-\frac{2\,b\,d\,\mathrm{atanh}\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^2-b^2\right)}+\frac{c\,\ln\left(\frac{a\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+b\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}}{f\,\left(a^2-b^2\right)}-\frac{a\,b\,d\,\ln\left(\frac{b\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-a\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{f\,{\left(a^2-b^2\right)}^{3/2}}+\frac{2\,a^2\,d\,\mathrm{atanh}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{b\,f\,\left(a^2-b^2\right)}+\frac{a^3\,d\,\ln\left(\frac{b\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)-a\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{b\,f\,{\left(a^2-b^2\right)}^{3/2}}-\frac{a\,d\,\ln\left(\frac{a\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+b\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}}{b\,f\,\left(a^2-b^2\right)}","Not used",1,"(b^2*c*log((b*sin(e/2 + (f*x)/2) - a*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(a^2 - b^2)^(3/2)) - (a^2*c*log((b*sin(e/2 + (f*x)/2) - a*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(a^2 - b^2)^(3/2)) - (2*b*d*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(f*(a^2 - b^2)) + (c*log((a*cos(e/2 + (f*x)/2) + b*cos(e/2 + (f*x)/2) + sin(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2))*((a + b)*(a - b))^(1/2))/(f*(a^2 - b^2)) - (a*b*d*log((b*sin(e/2 + (f*x)/2) - a*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2)))/(f*(a^2 - b^2)^(3/2)) + (2*a^2*d*atanh(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(b*f*(a^2 - b^2)) + (a^3*d*log((b*sin(e/2 + (f*x)/2) - a*sin(e/2 + (f*x)/2) + cos(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2)))/(b*f*(a^2 - b^2)^(3/2)) - (a*d*log((a*cos(e/2 + (f*x)/2) + b*cos(e/2 + (f*x)/2) + sin(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2))/cos(e/2 + (f*x)/2))*((a + b)*(a - b))^(1/2))/(b*f*(a^2 - b^2))","B"
256,1,2665,121,4.358265,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))*(c + d/cos(e + f*x))),x)","\frac{b\,c^2\,\mathrm{atan}\left(\frac{-a^5\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+b^5\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+b^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}+b^5\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}-a^2\,b^3\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-a^3\,b^2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-a^2\,b^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,3{}\mathrm{i}+a^3\,b^2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-b^3\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}-b^5\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}+a\,b^2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}+a\,b^4\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+a^4\,b\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+a^2\,b^3\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}+a^3\,b^2\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}-a\,b^2\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b^4\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}}{a^6\,d^2-a^4\,b^2\,c^2-2\,a^4\,b^2\,d^2+2\,a^2\,b^4\,c^2+a^2\,b^4\,d^2-b^6\,c^2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}}{f\,\left(-a^3\,c^2\,d+a^3\,d^3+a^2\,b\,c^3-a^2\,b\,c\,d^2+a\,b^2\,c^2\,d-a\,b^2\,d^3-b^3\,c^3+b^3\,c\,d^2\right)}-\frac{b\,d^2\,\mathrm{atan}\left(\frac{-a^5\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+b^5\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+b^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}+b^5\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}-a^2\,b^3\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-a^3\,b^2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-a^2\,b^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,3{}\mathrm{i}+a^3\,b^2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}-b^3\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}-b^5\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}+a\,b^2\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}+a\,b^4\,c^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+a^4\,b\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,1{}\mathrm{i}+a^2\,b^3\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}+a^3\,b^2\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}-a\,b^2\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a^2-b^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b^4\,c\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}}{a^6\,d^2-a^4\,b^2\,c^2-2\,a^4\,b^2\,d^2+2\,a^2\,b^4\,c^2+a^2\,b^4\,d^2-b^6\,c^2}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}}{f\,\left(-a^3\,c^2\,d+a^3\,d^3+a^2\,b\,c^3-a^2\,b\,c\,d^2+a\,b^2\,c^2\,d-a\,b^2\,d^3-b^3\,c^3+b^3\,c\,d^2\right)}+\frac{a^2\,d\,\mathrm{atan}\left(\frac{a^2\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-b^2\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+b^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}+b^2\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}-a^2\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-a^2\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-b^2\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,3{}\mathrm{i}+b^2\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-a\,b\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}+a^2\,c\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}+a^2\,c\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+b^2\,c^4\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+a\,b\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}+a\,b\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}-a\,b\,c\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b\,c\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}}{a^2\,c^4\,d^2-2\,a^2\,c^2\,d^4+a^2\,d^6-b^2\,c^6+2\,b^2\,c^4\,d^2-b^2\,c^2\,d^4}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}}{f\,\left(-a^3\,c^2\,d+a^3\,d^3+a^2\,b\,c^3-a^2\,b\,c\,d^2+a\,b^2\,c^2\,d-a\,b^2\,d^3-b^3\,c^3+b^3\,c\,d^2\right)}-\frac{b^2\,d\,\mathrm{atan}\left(\frac{a^2\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-b^2\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+b^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}+b^2\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}-a^2\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-a^2\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-b^2\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,3{}\mathrm{i}+b^2\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}-a\,b\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b\,d^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}+a^2\,c\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}+a^2\,c\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+b^2\,c^4\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,1{}\mathrm{i}+a\,b\,c^2\,d^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}+a\,b\,c^3\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}-a\,b\,c\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(c^2-d^2\right)}^{3/2}\,2{}\mathrm{i}-a\,b\,c\,d^4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}}{a^2\,c^4\,d^2-2\,a^2\,c^2\,d^4+a^2\,d^6-b^2\,c^6+2\,b^2\,c^4\,d^2-b^2\,c^2\,d^4}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}}{f\,\left(-a^3\,c^2\,d+a^3\,d^3+a^2\,b\,c^3-a^2\,b\,c\,d^2+a\,b^2\,c^2\,d-a\,b^2\,d^3-b^3\,c^3+b^3\,c\,d^2\right)}","Not used",1,"(b*c^2*atan((b^5*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^5*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + b^3*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i + b^5*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i - a^2*b^3*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^3*b^2*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^2*b^3*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*3i + a^3*b^2*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - b^3*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i - b^5*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i + a*b^2*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i + a*b^4*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + a^4*b*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + a^2*b^3*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i + a^3*b^2*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i - a*b^2*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i - a*b^4*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i)/(a^6*d^2 - b^6*c^2 + 2*a^2*b^4*c^2 - a^4*b^2*c^2 + a^2*b^4*d^2 - 2*a^4*b^2*d^2))*(a^2 - b^2)^(1/2)*2i)/(f*(a^3*d^3 - b^3*c^3 + a^2*b*c^3 - a*b^2*d^3 - a^3*c^2*d + b^3*c*d^2 + a*b^2*c^2*d - a^2*b*c*d^2)) - (b*d^2*atan((b^5*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^5*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + b^3*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i + b^5*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i - a^2*b^3*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^3*b^2*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - a^2*b^3*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*3i + a^3*b^2*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i - b^3*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i - b^5*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i + a*b^2*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i + a*b^4*c^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + a^4*b*d^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*1i + a^2*b^3*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i + a^3*b^2*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i - a*b^2*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(3/2)*2i - a*b^4*c*d*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*2i)/(a^6*d^2 - b^6*c^2 + 2*a^2*b^4*c^2 - a^4*b^2*c^2 + a^2*b^4*d^2 - 2*a^4*b^2*d^2))*(a^2 - b^2)^(1/2)*2i)/(f*(a^3*d^3 - b^3*c^3 + a^2*b*c^3 - a*b^2*d^3 - a^3*c^2*d + b^3*c*d^2 + a*b^2*c^2*d - a^2*b*c*d^2)) + (a^2*d*atan((a^2*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - b^2*c^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + b^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i + b^2*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i - a^2*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - a^2*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - b^2*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*3i + b^2*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - a*b*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i - a*b*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i + a^2*c*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i + a^2*c*d^4*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + b^2*c^4*d*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + a*b*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i + a*b*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i - a*b*c*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i - a*b*c*d^4*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i)/(a^2*d^6 - b^2*c^6 - 2*a^2*c^2*d^4 + a^2*c^4*d^2 - b^2*c^2*d^4 + 2*b^2*c^4*d^2))*(c^2 - d^2)^(1/2)*2i)/(f*(a^3*d^3 - b^3*c^3 + a^2*b*c^3 - a*b^2*d^3 - a^3*c^2*d + b^3*c*d^2 + a*b^2*c^2*d - a^2*b*c*d^2)) - (b^2*d*atan((a^2*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - b^2*c^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + b^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i + b^2*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i - a^2*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - a^2*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - b^2*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*3i + b^2*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i - a*b*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i - a*b*d^5*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i + a^2*c*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i + a^2*c*d^4*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + b^2*c^4*d*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*1i + a*b*c^2*d^3*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i + a*b*c^3*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i - a*b*c*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(3/2)*2i - a*b*c*d^4*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*2i)/(a^2*d^6 - b^2*c^6 - 2*a^2*c^2*d^4 + a^2*c^4*d^2 - b^2*c^2*d^4 + 2*b^2*c^4*d^2))*(c^2 - d^2)^(1/2)*2i)/(f*(a^3*d^3 - b^3*c^3 + a^2*b*c^3 - a*b^2*d^3 - a^3*c^2*d + b^3*c*d^2 + a*b^2*c^2*d - a^2*b*c*d^2))","B"
257,1,20827,187,15.423078,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))*(c + d/cos(e + f*x))^2),x)","\frac{2\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(c+d\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)\,\left(a\,d^2+b\,c^2-a\,c\,d-b\,c\,d\right)}-\frac{b^2\,\mathrm{atan}\left(\frac{\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}+\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{32\,b^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2\right)\,\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}\right)\,1{}\mathrm{i}}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}+\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}-\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}-\frac{32\,b^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2\right)\,\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}\right)\,1{}\mathrm{i}}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}}{\frac{64\,\left(-a^3\,b^2\,c^2\,d^3+3\,a^2\,b^3\,c^3\,d^2+2\,a^2\,b^3\,c^2\,d^3-2\,a^2\,b^3\,c\,d^4-2\,a\,b^4\,c^4\,d-5\,a\,b^4\,c^3\,d^2+2\,a\,b^4\,c^2\,d^3+3\,a\,b^4\,c\,d^4-a\,b^4\,d^5+2\,b^5\,c^4\,d+2\,b^5\,c^3\,d^2-3\,b^5\,c^2\,d^3-b^5\,c\,d^4+b^5\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}+\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{32\,b^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2\right)\,\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}-\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}-\frac{b^2\,\sqrt{a^2-b^2}\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}-\frac{32\,b^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a^2-b^2}\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2\right)\,\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}\right)}{a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2}}\right)\,\sqrt{a^2-b^2}\,2{}\mathrm{i}}{f\,\left(a^4\,d^2-2\,a^3\,b\,c\,d+a^2\,b^2\,c^2-a^2\,b^2\,d^2+2\,a\,b^3\,c\,d-b^4\,c^2\right)}-\frac{d\,\mathrm{atan}\left(\frac{\frac{d\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}+\frac{d\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)\,\left(-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,1{}\mathrm{i}}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}+\frac{d\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}-\frac{d\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}-\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)\,\left(-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,1{}\mathrm{i}}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}}{\frac{64\,\left(-a^3\,b^2\,c^2\,d^3+3\,a^2\,b^3\,c^3\,d^2+2\,a^2\,b^3\,c^2\,d^3-2\,a^2\,b^3\,c\,d^4-2\,a\,b^4\,c^4\,d-5\,a\,b^4\,c^3\,d^2+2\,a\,b^4\,c^2\,d^3+3\,a\,b^4\,c\,d^4-a\,b^4\,d^5+2\,b^5\,c^4\,d+2\,b^5\,c^3\,d^2-3\,b^5\,c^2\,d^3-b^5\,c\,d^4+b^5\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{d\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}+\frac{d\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}+\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)\,\left(-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}-\frac{d\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^5\,c^2\,d^4+4\,a^4\,b\,c^3\,d^3+3\,a^4\,b\,c^2\,d^4-2\,a^4\,b\,c\,d^5-4\,a^3\,b^2\,c^4\,d^2-12\,a^3\,b^2\,c^3\,d^3+a^3\,b^2\,c^2\,d^4+6\,a^3\,b^2\,c\,d^5-a^3\,b^2\,d^6+12\,a^2\,b^3\,c^4\,d^2+12\,a^2\,b^3\,c^3\,d^3-11\,a^2\,b^3\,c^2\,d^4-6\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6-a\,b^4\,c^6+2\,a\,b^4\,c^5\,d-11\,a\,b^4\,c^4\,d^2-8\,a\,b^4\,c^3\,d^3+13\,a\,b^4\,c^2\,d^4+4\,a\,b^4\,c\,d^5-4\,a\,b^4\,d^6+b^5\,c^6-2\,b^5\,c^5\,d+3\,b^5\,c^4\,d^2+4\,b^5\,c^3\,d^3-5\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5+2\,b^5\,d^6\right)}{-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3}-\frac{d\,\left(\frac{32\,\left(a^7\,c^4\,d^5-a^7\,c^3\,d^6-a^7\,c^2\,d^7+a^7\,c\,d^8-5\,a^6\,b\,c^5\,d^4+4\,a^6\,b\,c^4\,d^5+7\,a^6\,b\,c^3\,d^6-5\,a^6\,b\,c^2\,d^7-2\,a^6\,b\,c\,d^8+a^6\,b\,d^9+10\,a^5\,b^2\,c^6\,d^3-4\,a^5\,b^2\,c^5\,d^4-21\,a^5\,b^2\,c^4\,d^5+7\,a^5\,b^2\,c^3\,d^6+13\,a^5\,b^2\,c^2\,d^7-3\,a^5\,b^2\,c\,d^8-2\,a^5\,b^2\,d^9-10\,a^4\,b^3\,c^7\,d^2-4\,a^4\,b^3\,c^6\,d^3+33\,a^4\,b^3\,c^5\,d^4+4\,a^4\,b^3\,c^4\,d^5-31\,a^4\,b^3\,c^3\,d^6-a^4\,b^3\,c^2\,d^7+8\,a^4\,b^3\,c\,d^8+a^4\,b^3\,d^9+5\,a^3\,b^4\,c^8\,d+11\,a^3\,b^4\,c^7\,d^2-27\,a^3\,b^4\,c^6\,d^3-21\,a^3\,b^4\,c^5\,d^4+34\,a^3\,b^4\,c^4\,d^5+14\,a^3\,b^4\,c^3\,d^6-12\,a^3\,b^4\,c^2\,d^7-4\,a^3\,b^4\,c\,d^8-a^2\,b^5\,c^9-8\,a^2\,b^5\,c^8\,d+9\,a^2\,b^5\,c^7\,d^2+23\,a^2\,b^5\,c^6\,d^3-16\,a^2\,b^5\,c^5\,d^4-21\,a^2\,b^5\,c^4\,d^5+8\,a^2\,b^5\,c^3\,d^6+6\,a^2\,b^5\,c^2\,d^7+2\,a\,b^6\,c^9+a\,b^6\,c^8\,d-11\,a\,b^6\,c^7\,d^2+a\,b^6\,c^6\,d^3+13\,a\,b^6\,c^5\,d^4-2\,a\,b^6\,c^4\,d^5-4\,a\,b^6\,c^3\,d^6-b^7\,c^9+2\,b^7\,c^8\,d+b^7\,c^7\,d^2-3\,b^7\,c^6\,d^3+b^7\,c^4\,d^5\right)}{-a^3\,c^3\,d^3-a^3\,c^2\,d^4+a^3\,c\,d^5+a^3\,d^6+3\,a^2\,b\,c^4\,d^2+3\,a^2\,b\,c^3\,d^3-3\,a^2\,b\,c^2\,d^4-3\,a^2\,b\,c\,d^5-3\,a\,b^2\,c^5\,d-3\,a\,b^2\,c^4\,d^2+3\,a\,b^2\,c^3\,d^3+3\,a\,b^2\,c^2\,d^4+b^3\,c^6+b^3\,c^5\,d-b^3\,c^4\,d^2-b^3\,c^3\,d^3}-\frac{32\,d\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,\left(2\,a^7\,c^6\,d^4-2\,a^7\,c^5\,d^5-4\,a^7\,c^4\,d^6+4\,a^7\,c^3\,d^7+2\,a^7\,c^2\,d^8-2\,a^7\,c\,d^9-8\,a^6\,b\,c^7\,d^3+4\,a^6\,b\,c^6\,d^4+18\,a^6\,b\,c^5\,d^5-6\,a^6\,b\,c^4\,d^6-12\,a^6\,b\,c^3\,d^7+2\,a^6\,b\,c\,d^9+2\,a^6\,b\,d^{10}+12\,a^5\,b^2\,c^8\,d^2+4\,a^5\,b^2\,c^7\,d^3-30\,a^5\,b^2\,c^6\,d^4-14\,a^5\,b^2\,c^5\,d^5+20\,a^5\,b^2\,c^4\,d^6+16\,a^5\,b^2\,c^3\,d^7+2\,a^5\,b^2\,c^2\,d^8-6\,a^5\,b^2\,c\,d^9-4\,a^5\,b^2\,d^{10}-8\,a^4\,b^3\,c^9\,d-16\,a^4\,b^3\,c^8\,d^2+20\,a^4\,b^3\,c^7\,d^3+36\,a^4\,b^3\,c^6\,d^4-2\,a^4\,b^3\,c^5\,d^5-22\,a^4\,b^3\,c^4\,d^6-24\,a^4\,b^3\,c^3\,d^7+14\,a^4\,b^3\,c\,d^9+2\,a^4\,b^3\,d^{10}+2\,a^3\,b^4\,c^{10}+14\,a^3\,b^4\,c^9\,d-24\,a^3\,b^4\,c^7\,d^3-22\,a^3\,b^4\,c^6\,d^4-2\,a^3\,b^4\,c^5\,d^5+36\,a^3\,b^4\,c^4\,d^6+20\,a^3\,b^4\,c^3\,d^7-16\,a^3\,b^4\,c^2\,d^8-8\,a^3\,b^4\,c\,d^9-4\,a^2\,b^5\,c^{10}-6\,a^2\,b^5\,c^9\,d+2\,a^2\,b^5\,c^8\,d^2+16\,a^2\,b^5\,c^7\,d^3+20\,a^2\,b^5\,c^6\,d^4-14\,a^2\,b^5\,c^5\,d^5-30\,a^2\,b^5\,c^4\,d^6+4\,a^2\,b^5\,c^3\,d^7+12\,a^2\,b^5\,c^2\,d^8+2\,a\,b^6\,c^{10}+2\,a\,b^6\,c^9\,d-12\,a\,b^6\,c^7\,d^3-6\,a\,b^6\,c^6\,d^4+18\,a\,b^6\,c^5\,d^5+4\,a\,b^6\,c^4\,d^6-8\,a\,b^6\,c^3\,d^7-2\,b^7\,c^9\,d+2\,b^7\,c^8\,d^2+4\,b^7\,c^7\,d^3-4\,b^7\,c^6\,d^4-2\,b^7\,c^5\,d^5+2\,b^7\,c^4\,d^6\right)}{\left(-a^2\,c^3\,d^2-a^2\,c^2\,d^3+a^2\,c\,d^4+a^2\,d^5+2\,a\,b\,c^4\,d+2\,a\,b\,c^3\,d^2-2\,a\,b\,c^2\,d^3-2\,a\,b\,c\,d^4-b^2\,c^5-b^2\,c^4\,d+b^2\,c^3\,d^2+b^2\,c^2\,d^3\right)\,\left(-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)}{-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6}}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,b\,c^2+a\,c\,d+b\,d^2\right)\,2{}\mathrm{i}}{f\,\left(-a^2\,c^6\,d^2+3\,a^2\,c^4\,d^4-3\,a^2\,c^2\,d^6+a^2\,d^8+2\,a\,b\,c^7\,d-6\,a\,b\,c^5\,d^3+6\,a\,b\,c^3\,d^5-2\,a\,b\,c\,d^7-b^2\,c^8+3\,b^2\,c^6\,d^2-3\,b^2\,c^4\,d^4+b^2\,c^2\,d^6\right)}","Not used",1,"(2*d^2*tan(e/2 + (f*x)/2))/(f*(c + d)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d))*(a*d^2 + b*c^2 - a*c*d - b*c*d)) - (d*atan(((d*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) + (d*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (32*d*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2)*(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*1i)/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3) + (d*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) - (d*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) - (32*d*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2)*(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*1i)/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3))/((64*(b^5*d^5 - a*b^4*d^5 - b^5*c*d^4 + 2*b^5*c^4*d - 3*b^5*c^2*d^3 + 2*b^5*c^3*d^2 + 2*a*b^4*c^2*d^3 - 5*a*b^4*c^3*d^2 - 2*a^2*b^3*c*d^4 + 2*a^2*b^3*c^2*d^3 + 3*a^2*b^3*c^3*d^2 - a^3*b^2*c^2*d^3 + 3*a*b^4*c*d^4 - 2*a*b^4*c^4*d))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (d*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) + (d*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (32*d*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2)*(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3) - (d*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) - (d*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) - (32*d*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2)*(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d))/(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)))*((c + d)^3*(c - d)^3)^(1/2)*(b*d^2 - 2*b*c^2 + a*c*d)*2i)/(f*(a^2*d^8 - b^2*c^8 - 3*a^2*c^2*d^6 + 3*a^2*c^4*d^4 - a^2*c^6*d^2 + b^2*c^2*d^6 - 3*b^2*c^4*d^4 + 3*b^2*c^6*d^2 - 2*a*b*c*d^7 + 2*a*b*c^7*d + 6*a*b*c^3*d^5 - 6*a*b*c^5*d^3)) - (b^2*atan(((b^2*(a^2 - b^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) + (b^2*(a^2 - b^2)^(1/2)*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (32*b^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)*(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2))))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d))*1i)/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d) + (b^2*(a^2 - b^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) - (b^2*(a^2 - b^2)^(1/2)*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) - (32*b^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)*(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2))))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d))*1i)/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d))/((64*(b^5*d^5 - a*b^4*d^5 - b^5*c*d^4 + 2*b^5*c^4*d - 3*b^5*c^2*d^3 + 2*b^5*c^3*d^2 + 2*a*b^4*c^2*d^3 - 5*a*b^4*c^3*d^2 - 2*a^2*b^3*c*d^4 + 2*a^2*b^3*c^2*d^3 + 3*a^2*b^3*c^3*d^2 - a^3*b^2*c^2*d^3 + 3*a*b^4*c*d^4 - 2*a*b^4*c^4*d))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (b^2*(a^2 - b^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) + (b^2*(a^2 - b^2)^(1/2)*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) + (32*b^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)*(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2))))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d) - (b^2*(a^2 - b^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(b^5*c^6 + 2*b^5*d^6 - a*b^4*c^6 - 4*a*b^4*d^6 - 2*b^5*c*d^5 - 2*b^5*c^5*d + 3*a^2*b^3*d^6 - a^3*b^2*d^6 - a^5*c^2*d^4 - 5*b^5*c^2*d^4 + 4*b^5*c^3*d^3 + 3*b^5*c^4*d^2 + 13*a*b^4*c^2*d^4 - 8*a*b^4*c^3*d^3 - 11*a*b^4*c^4*d^2 - 6*a^2*b^3*c*d^5 + 6*a^3*b^2*c*d^5 + 3*a^4*b*c^2*d^4 + 4*a^4*b*c^3*d^3 - 11*a^2*b^3*c^2*d^4 + 12*a^2*b^3*c^3*d^3 + 12*a^2*b^3*c^4*d^2 + a^3*b^2*c^2*d^4 - 12*a^3*b^2*c^3*d^3 - 4*a^3*b^2*c^4*d^2 + 4*a*b^4*c*d^5 + 2*a*b^4*c^5*d - 2*a^4*b*c*d^5))/(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2) - (b^2*(a^2 - b^2)^(1/2)*((32*(2*a*b^6*c^9 - b^7*c^9 + a^6*b*d^9 + a^7*c*d^8 + 2*b^7*c^8*d - a^2*b^5*c^9 + a^4*b^3*d^9 - 2*a^5*b^2*d^9 - a^7*c^2*d^7 - a^7*c^3*d^6 + a^7*c^4*d^5 + b^7*c^4*d^5 - 3*b^7*c^6*d^3 + b^7*c^7*d^2 - 4*a*b^6*c^3*d^6 - 2*a*b^6*c^4*d^5 + 13*a*b^6*c^5*d^4 + a*b^6*c^6*d^3 - 11*a*b^6*c^7*d^2 - 8*a^2*b^5*c^8*d - 4*a^3*b^4*c*d^8 + 5*a^3*b^4*c^8*d + 8*a^4*b^3*c*d^8 - 3*a^5*b^2*c*d^8 - 5*a^6*b*c^2*d^7 + 7*a^6*b*c^3*d^6 + 4*a^6*b*c^4*d^5 - 5*a^6*b*c^5*d^4 + 6*a^2*b^5*c^2*d^7 + 8*a^2*b^5*c^3*d^6 - 21*a^2*b^5*c^4*d^5 - 16*a^2*b^5*c^5*d^4 + 23*a^2*b^5*c^6*d^3 + 9*a^2*b^5*c^7*d^2 - 12*a^3*b^4*c^2*d^7 + 14*a^3*b^4*c^3*d^6 + 34*a^3*b^4*c^4*d^5 - 21*a^3*b^4*c^5*d^4 - 27*a^3*b^4*c^6*d^3 + 11*a^3*b^4*c^7*d^2 - a^4*b^3*c^2*d^7 - 31*a^4*b^3*c^3*d^6 + 4*a^4*b^3*c^4*d^5 + 33*a^4*b^3*c^5*d^4 - 4*a^4*b^3*c^6*d^3 - 10*a^4*b^3*c^7*d^2 + 13*a^5*b^2*c^2*d^7 + 7*a^5*b^2*c^3*d^6 - 21*a^5*b^2*c^4*d^5 - 4*a^5*b^2*c^5*d^4 + 10*a^5*b^2*c^6*d^3 + a*b^6*c^8*d - 2*a^6*b*c*d^8))/(a^3*d^6 + b^3*c^6 + a^3*c*d^5 + b^3*c^5*d - a^3*c^2*d^4 - a^3*c^3*d^3 - b^3*c^3*d^3 - b^3*c^4*d^2 + 3*a*b^2*c^2*d^4 + 3*a*b^2*c^3*d^3 - 3*a*b^2*c^4*d^2 - 3*a^2*b*c^2*d^4 + 3*a^2*b*c^3*d^3 + 3*a^2*b*c^4*d^2 - 3*a*b^2*c^5*d - 3*a^2*b*c*d^5) - (32*b^2*tan(e/2 + (f*x)/2)*(a^2 - b^2)^(1/2)*(2*a*b^6*c^10 + 2*a^6*b*d^10 - 2*a^7*c*d^9 - 2*b^7*c^9*d - 4*a^2*b^5*c^10 + 2*a^3*b^4*c^10 + 2*a^4*b^3*d^10 - 4*a^5*b^2*d^10 + 2*a^7*c^2*d^8 + 4*a^7*c^3*d^7 - 4*a^7*c^4*d^6 - 2*a^7*c^5*d^5 + 2*a^7*c^6*d^4 + 2*b^7*c^4*d^6 - 2*b^7*c^5*d^5 - 4*b^7*c^6*d^4 + 4*b^7*c^7*d^3 + 2*b^7*c^8*d^2 - 8*a*b^6*c^3*d^7 + 4*a*b^6*c^4*d^6 + 18*a*b^6*c^5*d^5 - 6*a*b^6*c^6*d^4 - 12*a*b^6*c^7*d^3 - 6*a^2*b^5*c^9*d - 8*a^3*b^4*c*d^9 + 14*a^3*b^4*c^9*d + 14*a^4*b^3*c*d^9 - 8*a^4*b^3*c^9*d - 6*a^5*b^2*c*d^9 - 12*a^6*b*c^3*d^7 - 6*a^6*b*c^4*d^6 + 18*a^6*b*c^5*d^5 + 4*a^6*b*c^6*d^4 - 8*a^6*b*c^7*d^3 + 12*a^2*b^5*c^2*d^8 + 4*a^2*b^5*c^3*d^7 - 30*a^2*b^5*c^4*d^6 - 14*a^2*b^5*c^5*d^5 + 20*a^2*b^5*c^6*d^4 + 16*a^2*b^5*c^7*d^3 + 2*a^2*b^5*c^8*d^2 - 16*a^3*b^4*c^2*d^8 + 20*a^3*b^4*c^3*d^7 + 36*a^3*b^4*c^4*d^6 - 2*a^3*b^4*c^5*d^5 - 22*a^3*b^4*c^6*d^4 - 24*a^3*b^4*c^7*d^3 - 24*a^4*b^3*c^3*d^7 - 22*a^4*b^3*c^4*d^6 - 2*a^4*b^3*c^5*d^5 + 36*a^4*b^3*c^6*d^4 + 20*a^4*b^3*c^7*d^3 - 16*a^4*b^3*c^8*d^2 + 2*a^5*b^2*c^2*d^8 + 16*a^5*b^2*c^3*d^7 + 20*a^5*b^2*c^4*d^6 - 14*a^5*b^2*c^5*d^5 - 30*a^5*b^2*c^6*d^4 + 4*a^5*b^2*c^7*d^3 + 12*a^5*b^2*c^8*d^2 + 2*a*b^6*c^9*d + 2*a^6*b*c*d^9))/((a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)*(a^2*d^5 - b^2*c^5 + a^2*c*d^4 - b^2*c^4*d - a^2*c^2*d^3 - a^2*c^3*d^2 + b^2*c^2*d^3 + b^2*c^3*d^2 - 2*a*b*c*d^4 + 2*a*b*c^4*d - 2*a*b*c^2*d^3 + 2*a*b*c^3*d^2))))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)))/(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d)))*(a^2 - b^2)^(1/2)*2i)/(f*(a^4*d^2 - b^4*c^2 + a^2*b^2*c^2 - a^2*b^2*d^2 + 2*a*b^3*c*d - 2*a^3*b*c*d))","B"
258,1,17256,379,16.948864,"\text{Not used}","int((c + d/cos(e + f*x))^5/(cos(e + f*x)*(a + b/cos(e + f*x))^2),x)","-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(-72\,a^5\,d^5+270\,a^4\,b\,c\,d^4+12\,a^4\,b\,d^5-360\,a^3\,b^2\,c^2\,d^3-45\,a^3\,b^2\,c\,d^4+38\,a^3\,b^2\,d^5+180\,a^2\,b^3\,c^3\,d^2+60\,a^2\,b^3\,c^2\,d^3-165\,a^2\,b^3\,c\,d^4-14\,a^2\,b^3\,d^5-90\,a\,b^4\,c^4\,d+180\,a\,b^4\,c^2\,d^3+45\,a\,b^4\,c\,d^4+16\,a\,b^4\,d^5+18\,b^5\,c^5-60\,b^5\,c^2\,d^3-15\,b^5\,c\,d^4+2\,b^5\,d^5\right)}{3\,\left(a\,b^4-b^5\right)\,\left(a+b\right)}-\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(-8\,a^5\,d^5+30\,a^4\,b\,c\,d^4+4\,a^4\,b\,d^5-40\,a^3\,b^2\,c^2\,d^3-15\,a^3\,b^2\,c\,d^4+6\,a^3\,b^2\,d^5+20\,a^2\,b^3\,c^3\,d^2+20\,a^2\,b^3\,c^2\,d^3-25\,a^2\,b^3\,c\,d^4-2\,a^2\,b^3\,d^5-10\,a\,b^4\,c^4\,d+20\,a\,b^4\,c^2\,d^3+15\,a\,b^4\,c\,d^4+2\,b^5\,c^5-20\,b^5\,c^2\,d^3+5\,b^5\,c\,d^4-2\,b^5\,d^5\right)}{\left(a\,b^4-b^5\right)\,\left(a+b\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-8\,a^5\,d^5+30\,a^4\,b\,c\,d^4-4\,a^4\,b\,d^5-40\,a^3\,b^2\,c^2\,d^3+15\,a^3\,b^2\,c\,d^4+6\,a^3\,b^2\,d^5+20\,a^2\,b^3\,c^3\,d^2-20\,a^2\,b^3\,c^2\,d^3-25\,a^2\,b^3\,c\,d^4+2\,a^2\,b^3\,d^5-10\,a\,b^4\,c^4\,d+20\,a\,b^4\,c^2\,d^3-15\,a\,b^4\,c\,d^4+2\,b^5\,c^5+20\,b^5\,c^2\,d^3+5\,b^5\,c\,d^4+2\,b^5\,d^5\right)}{\left(a\,b^4-b^5\right)\,\left(a+b\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(72\,a^5\,d^5-270\,a^4\,b\,c\,d^4+12\,a^4\,b\,d^5+360\,a^3\,b^2\,c^2\,d^3-45\,a^3\,b^2\,c\,d^4-38\,a^3\,b^2\,d^5-180\,a^2\,b^3\,c^3\,d^2+60\,a^2\,b^3\,c^2\,d^3+165\,a^2\,b^3\,c\,d^4-14\,a^2\,b^3\,d^5+90\,a\,b^4\,c^4\,d-180\,a\,b^4\,c^2\,d^3+45\,a\,b^4\,c\,d^4-16\,a\,b^4\,d^5-18\,b^5\,c^5-60\,b^5\,c^2\,d^3+15\,b^5\,c\,d^4+2\,b^5\,d^5\right)}{3\,b^4\,\left(a+b\right)\,\left(a-b\right)}}{f\,\left(\left(a-b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+\left(2\,b-4\,a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+6\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\left(-4\,a-2\,b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}+\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{b^5\,\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)}{b^5}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,1{}\mathrm{i}}{b^5}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}-\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{b^5\,\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)}{b^5}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,1{}\mathrm{i}}{b^5}}{\frac{16\,\left(256\,a^{14}\,d^{15}-2880\,a^{13}\,b\,c\,d^{14}-128\,a^{13}\,b\,d^{15}+14640\,a^{12}\,b^2\,c^2\,d^{13}+1440\,a^{12}\,b^2\,c\,d^{14}-448\,a^{12}\,b^2\,d^{15}-44220\,a^{11}\,b^3\,c^3\,d^{12}-7320\,a^{11}\,b^3\,c^2\,d^{13}+5280\,a^{11}\,b^3\,c\,d^{14}+192\,a^{11}\,b^3\,d^{15}+64\,a^{10}\,b^4\,c^5\,d^{10}+87600\,a^{10}\,b^4\,c^4\,d^{11}+22430\,a^{10}\,b^4\,c^3\,d^{12}-28380\,a^{10}\,b^4\,c^2\,d^{13}-2160\,a^{10}\,b^4\,c\,d^{14}+48\,a^{10}\,b^4\,d^{15}-480\,a^9\,b^5\,c^6\,d^9-118136\,a^9\,b^5\,c^5\,d^{10}-46520\,a^9\,b^5\,c^4\,d^{11}+91160\,a^9\,b^5\,c^3\,d^{12}+10980\,a^9\,b^5\,c^2\,d^{13}-900\,a^9\,b^5\,c\,d^{14}-24\,a^9\,b^5\,d^{15}+1540\,a^8\,b^6\,c^7\,d^8+108320\,a^8\,b^6\,c^6\,d^9+69104\,a^8\,b^6\,c^5\,d^{10}-192920\,a^8\,b^6\,c^4\,d^{11}-33645\,a^8\,b^6\,c^3\,d^{12}+6960\,a^8\,b^6\,c^2\,d^{13}+270\,a^8\,b^6\,c\,d^{14}+124\,a^8\,b^6\,d^{15}-2720\,a^7\,b^7\,c^8\,d^7-64460\,a^7\,b^7\,c^7\,d^8-74940\,a^7\,b^7\,c^6\,d^9+279768\,a^7\,b^7\,c^5\,d^{10}+69980\,a^7\,b^7\,c^4\,d^{11}-29515\,a^7\,b^7\,c^3\,d^{12}-1335\,a^7\,b^7\,c^2\,d^{13}-1320\,a^7\,b^7\,c\,d^{14}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ht)-15\,a^2\,b\,c\,d^4\right)}{b^5}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)}{b^5}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}-\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{b^5\,\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)}{b^5}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)}{b^5}}\right)\,\left(b^2\,\left(20\,a\,c^2\,d^3+a\,d^5\right)+4\,a^3\,d^5-b^3\,\left(10\,c^3\,d^2+\frac{5\,c\,d^4}{2}\right)-15\,a^2\,b\,c\,d^4\right)\,2{}\mathrm{i}}{b^5\,f}+\frac{\mathrm{atan}\left(\frac{\frac{{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}+\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)\,\left(-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}\right)}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}+\frac{{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}-\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)\,\left(-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}\right)}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}}{\frac{16\,\left(256\,a^{14}\,d^{15}-2880\,a^{13}\,b\,c\,d^{14}-128\,a^{13}\,b\,d^{15}+14640\,a^{12}\,b^2\,c^2\,d^{13}+1440\,a^{12}\,b^2\,c\,d^{14}-448\,a^{12}\,b^2\,d^{15}-44220\,a^{11}\,b^3\,c^3\,d^{12}-7320\,a^{11}\,b^3\,c^2\,d^{13}+5280\,a^{11}\,b^3\,c\,d^{14}+192\,a^{11}\,b^3\,d^{15}+64\,a^{10}\,b^4\,c^5\,d^{10}+87600\,a^{10}\,b^4\,c^4\,d^{11}+22430\,a^{10}\,b^4\,c^3\,d^{12}-28380\,a^{10}\,b^4\,c^2\,d^{13}-2160\,a^{10}\,b^4\,c\,d^{14}+48\,a^{10}\,b^4\,d^{15}-480\,a^9\,b^5\,c^6\,d^9-118136\,a^9\,b^5\,c^5\,d^{10}-46520\,a^9\,b^5\,c^4\,d^{11}+91160\,a^9\,b^5\,c^3\,d^{12}+10980\,a^9\,b^5\,c^2\,d^{13}-900\,a^9\,b^5\,c\,d^{14}-24\,a^9\,b^5\,d^{15}+1540\,a^8\,b^6\,c^7\,d^8+108320\,a^8\,b^6\,c^6\,d^9+69104\,a^8\,b^6\,c^5\,d^{10}-192920\,a^8\,b^6\,c^4\,d^{11}-33645\,a^8\,b^6\,c^3\,d^{12}+6960\,a^8\,b^6\,c^2\,d^{13}+270\,a^8\,b^6\,c\,d^{14}+124\,a^8\,b^6\,d^{15}-2720\,a^7\,b^7\,c^8\,d^7-64460\,a^7\,b^7\,c^7\,d^8-74940\,a^7\,b^7\,c^6\,d^9+279768\,a^7\,b^7\,c^5\,d^{10}+69980\,a^7\,b^7\,c^4\,d^{11}-29515\,a^7\,b^7\,c^3\,d^{12}-1335\,a^7\,b^7\,c^2\,d^{13}-1320\,a^7\,b^7\,c\,d^{14}-20\,a^7\,b^7\,d^{15}+2800\,a^6\,b^8\,c^9\,d^6+21280\,a^6\,b^8\,c^8\,d^7+57980\,a^6\,b^8\,c^7\,d^8-279820\,a^6\,b^8\,c^6\,d^9-105562\,a^6\,b^8\,c^5\,d^{10}+77460\,a^6\,b^8\,c^4\,d^{11}+3645\,a^6\,b^8\,c^3\,d^{12}+6135\,a^6\,b^8\,c^2\,d^{13}+180\,a^6\,b^8\,c\,d^{14}+20\,a^6\,b^8\,d^{15}-1584\,a^5\,b^9\,c^{10}\,d^5-1200\,a^5\,b^9\,c^9\,d^6-28880\,a^5\,b^9\,c^8\,d^7+188520\,a^5\,b^9\,c^7\,d^8+119980\,a^5\,b^9\,c^6\,d^9-133278\,a^5\,b^9\,c^5\,d^{10}-5690\,a^5\,b^9\,c^4\,d^{11}-16245\,a^5\,b^9\,c^3\,d^{12}-645\,a^5\,b^9\,c^2\,d^{13}-180\,a^5\,b^9\,c\,d^{14}+340\,a^4\,b^{10}\,c^{11}\,d^4-1600\,a^4\,b^{10}\,c^{10}\,d^5+5840\,a^4\,b^{10}\,c^9\,d^6-79760\,a^4\,b^{10}\,c^8\,d^7-103805\,a^4\,b^{10}\,c^7\,d^8+153580\,a^4\,b^{10}\,c^6\,d^9+4654\,a^4\,b^{10}\,c^5\,d^{10}+26690\,a^4\,b^{10}\,c^4\,d^{11}+1180\,a^4\,b^{10}\,c^3\,d^{12}+645\,a^4\,b^{10}\,c^2\,d^{13}+80\,a^3\,b^{11}\,c^{12}\,d^3+400\,a^3\,b^{11}\,c^{11}\,d^4+2604\,a^3\,b^{11}\,c^{10}\,d^5+17400\,a^3\,b^{11}\,c^9\,d^6+66680\,a^3\,b^{11}\,c^8\,d^7-117635\,a^3\,b^{11}\,c^7\,d^8-995\,a^3\,b^{11}\,c^6\,d^9-27754\,a^3\,b^{11}\,c^5\,d^{10}-1170\,a^3\,b^{11}\,c^4\,d^{11}-1180\,a^3\,b^{11}\,c^3\,d^{12}-40\,a^2\,b^{12}\,c^{13}\,d^2-2010\,a^2\,b^{12}\,c^{11}\,d^4-400\,a^2\,b^{12}\,c^{10}\,d^5-29740\,a^2\,b^{12}\,c^9\,d^6+57480\,a^2\,b^{12}\,c^8\,d^7-1375\,a^2\,b^{12}\,c^7\,d^8+17795\,a^2\,b^{12}\,c^6\,d^9+600\,a^2\,b^{12}\,c^5\,d^{10}+1170\,a^2\,b^{12}\,c^4\,d^{11}+400\,a\,b^{13}\,c^{12}\,d^3-400\,a\,b^{13}\,c^{11}\,d^4+8100\,a\,b^{13}\,c^{10}\,d^5-16200\,a\,b^{13}\,c^9\,d^6+1100\,a\,b^{13}\,c^8\,d^7-6425\,a\,b^{13}\,c^7\,d^8-125\,a\,b^{13}\,c^6\,d^9-600\,a\,b^{13}\,c^5\,d^{10}-1000\,b^{14}\,c^{11}\,d^4+2000\,b^{14}\,c^{10}\,d^5-250\,b^{14}\,c^9\,d^6+1000\,b^{14}\,c^8\,d^7+125\,b^{14}\,c^6\,d^9\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}+\frac{{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}+\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)\,\left(-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}\right)}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}-\frac{{\left(a\,d-b\,c\right)}^4\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,a^{12}\,d^{10}-960\,a^{11}\,b\,c\,d^9-128\,a^{11}\,b\,d^{10}+3080\,a^{10}\,b^2\,c^2\,d^8+960\,a^{10}\,b^2\,c\,d^9-192\,a^{10}\,b^2\,d^{10}-5440\,a^9\,b^3\,c^3\,d^7-3080\,a^9\,b^3\,c^2\,d^8+1520\,a^9\,b^3\,c\,d^9+192\,a^9\,b^3\,d^{10}+5600\,a^8\,b^4\,c^4\,d^6+5440\,a^8\,b^4\,c^3\,d^7-5240\,a^8\,b^4\,c^2\,d^8-1520\,a^8\,b^4\,c\,d^9+8\,a^8\,b^4\,d^{10}-3168\,a^7\,b^5\,c^5\,d^5-5600\,a^7\,b^5\,c^4\,d^6+10080\,a^7\,b^5\,c^3\,d^7+5240\,a^7\,b^5\,c^2\,d^8-140\,a^7\,b^5\,c\,d^9-8\,a^7\,b^5\,d^{10}+680\,a^6\,b^6\,c^6\,d^4+3200\,a^6\,b^6\,c^5\,d^5-11560\,a^6\,b^6\,c^4\,d^6-9920\,a^6\,b^6\,c^3\,d^7+825\,a^6\,b^6\,c^2\,d^8+200\,a^6\,b^6\,c\,d^9+28\,a^6\,b^6\,d^{10}+160\,a^5\,b^7\,c^7\,d^3-800\,a^5\,b^7\,c^6\,d^4+7760\,a^5\,b^7\,c^5\,d^5+10800\,a^5\,b^7\,c^4\,d^6-2400\,a^5\,b^7\,c^3\,d^7-1290\,a^5\,b^7\,c^2\,d^8-260\,a^5\,b^7\,c\,d^9-48\,a^5\,b^7\,d^{10}-80\,a^4\,b^8\,c^8\,d^2-2640\,a^4\,b^8\,c^6\,d^4-6400\,a^4\,b^8\,c^5\,d^5+4000\,a^4\,b^8\,c^4\,d^6+3520\,a^4\,b^8\,c^3\,d^7+1055\,a^4\,b^8\,c^2\,d^8+320\,a^4\,b^8\,c\,d^9+28\,a^4\,b^8\,d^{10}+160\,a^3\,b^9\,c^7\,d^3+1600\,a^3\,b^9\,c^6\,d^4-4000\,a^3\,b^9\,c^5\,d^5-4800\,a^3\,b^9\,c^4\,d^6-2240\,a^3\,b^9\,c^3\,d^7-820\,a^3\,b^9\,c^2\,d^8-180\,a^3\,b^9\,c\,d^9-8\,a^3\,b^9\,d^{10}+4\,a^2\,b^{10}\,c^{10}+160\,a^2\,b^{10}\,c^8\,d^2+2400\,a^2\,b^{10}\,c^6\,d^4+3200\,a^2\,b^{10}\,c^5\,d^5+2600\,a^2\,b^{10}\,c^4\,d^6+960\,a^2\,b^{10}\,c^3\,d^7+435\,a^2\,b^{10}\,c^2\,d^8+40\,a^2\,b^{10}\,c\,d^9+4\,a^2\,b^{10}\,d^{10}-40\,a\,b^{11}\,c^9\,d-800\,a\,b^{11}\,c^7\,d^3-800\,a\,b^{11}\,c^6\,d^4-1600\,a\,b^{11}\,c^5\,d^5-400\,a\,b^{11}\,c^4\,d^6-480\,a\,b^{11}\,c^3\,d^7-50\,a\,b^{11}\,c^2\,d^8-20\,a\,b^{11}\,c\,d^9+100\,b^{12}\,c^8\,d^2+400\,b^{12}\,c^6\,d^4+200\,b^{12}\,c^4\,d^6+25\,b^{12}\,c^2\,d^8\right)}{-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}}-\frac{\left(\frac{8\,\left(-16\,a^8\,b^{10}\,d^5+60\,a^7\,b^{11}\,c\,d^4+8\,a^7\,b^{11}\,d^5-80\,a^6\,b^{12}\,c^2\,d^3-30\,a^6\,b^{12}\,c\,d^4+36\,a^6\,b^{12}\,d^5+40\,a^5\,b^{13}\,c^3\,d^2+40\,a^5\,b^{13}\,c^2\,d^3-140\,a^5\,b^{13}\,c\,d^4-16\,a^5\,b^{13}\,d^5+4\,a^4\,b^{14}\,c^5+200\,a^4\,b^{14}\,c^2\,d^3+70\,a^4\,b^{14}\,c\,d^4-20\,a^4\,b^{14}\,d^5-4\,a^3\,b^{15}\,c^5-20\,a^3\,b^{15}\,c^4\,d-120\,a^3\,b^{15}\,c^3\,d^2-120\,a^3\,b^{15}\,c^2\,d^3+80\,a^3\,b^{15}\,c\,d^4+4\,a^3\,b^{15}\,d^5-4\,a^2\,b^{16}\,c^5+20\,a^2\,b^{16}\,c^4\,d+40\,a^2\,b^{16}\,c^3\,d^2-120\,a^2\,b^{16}\,c^2\,d^3-30\,a^2\,b^{16}\,c\,d^4+4\,a\,b^{17}\,c^5+20\,a\,b^{17}\,c^4\,d+80\,a\,b^{17}\,c^3\,d^2+80\,a\,b^{17}\,c^2\,d^3+4\,a\,b^{17}\,d^5-20\,b^{18}\,c^4\,d-40\,b^{18}\,c^3\,d^2-10\,b^{18}\,c\,d^4\right)}{-a^3\,b^{12}-a^2\,b^{13}+a\,b^{14}+b^{15}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,\left(-8\,a^6\,b^{10}+8\,a^5\,b^{11}+16\,a^4\,b^{12}-16\,a^3\,b^{13}-8\,a^2\,b^{14}+8\,a\,b^{15}\right)}{\left(-a^3\,b^8-a^2\,b^9+a\,b^{10}+b^{11}\right)\,\left(-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}\right)}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)}{-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}}}\right)\,{\left(a\,d-b\,c\right)}^4\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(4\,d\,a^2+c\,a\,b-5\,d\,b^2\right)\,2{}\mathrm{i}}{f\,\left(-a^6\,b^5+3\,a^4\,b^7-3\,a^2\,b^9+b^{11}\right)}","Not used",1,"(atan(((((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) + (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + (8*tan(e/2 + (f*x)/2)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/(b^5*(a*b^10 + b^11 - a^2*b^9 - a^3*b^8)))*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*1i)/b^5 + (((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) - (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) - (8*tan(e/2 + (f*x)/2)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/(b^5*(a*b^10 + b^11 - a^2*b^9 - a^3*b^8)))*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*1i)/b^5)/((16*(256*a^14*d^15 - 128*a^13*b*d^15 + 20*a^6*b^8*d^15 - 20*a^7*b^7*d^15 + 124*a^8*b^6*d^15 - 24*a^9*b^5*d^15 + 48*a^10*b^4*d^15 + 192*a^11*b^3*d^15 - 448*a^12*b^2*d^15 + 125*b^14*c^6*d^9 + 1000*b^14*c^8*d^7 - 250*b^14*c^9*d^6 + 2000*b^14*c^10*d^5 - 1000*b^14*c^11*d^4 - 600*a*b^13*c^5*d^10 - 125*a*b^13*c^6*d^9 - 6425*a*b^13*c^7*d^8 + 1100*a*b^13*c^8*d^7 - 16200*a*b^13*c^9*d^6 + 8100*a*b^13*c^10*d^5 - 400*a*b^13*c^11*d^4 + 400*a*b^13*c^12*d^3 - 180*a^5*b^9*c*d^14 + 180*a^6*b^8*c*d^14 - 1320*a^7*b^7*c*d^14 + 270*a^8*b^6*c*d^14 - 900*a^9*b^5*c*d^14 - 2160*a^10*b^4*c*d^14 + 5280*a^11*b^3*c*d^14 + 1440*a^12*b^2*c*d^14 + 1170*a^2*b^12*c^4*d^11 + 600*a^2*b^12*c^5*d^10 + 17795*a^2*b^12*c^6*d^9 - 1375*a^2*b^12*c^7*d^8 + 57480*a^2*b^12*c^8*d^7 - 29740*a^2*b^12*c^9*d^6 - 400*a^2*b^12*c^10*d^5 - 2010*a^2*b^12*c^11*d^4 - 40*a^2*b^12*c^13*d^2 - 1180*a^3*b^11*c^3*d^12 - 1170*a^3*b^11*c^4*d^11 - 27754*a^3*b^11*c^5*d^10 - 995*a^3*b^11*c^6*d^9 - 117635*a^3*b^11*c^7*d^8 + 66680*a^3*b^11*c^8*d^7 + 17400*a^3*b^11*c^9*d^6 + 2604*a^3*b^11*c^10*d^5 + 400*a^3*b^11*c^11*d^4 + 80*a^3*b^11*c^12*d^3 + 645*a^4*b^10*c^2*d^13 + 1180*a^4*b^10*c^3*d^12 + 26690*a^4*b^10*c^4*d^11 + 4654*a^4*b^10*c^5*d^10 + 153580*a^4*b^10*c^6*d^9 - 103805*a^4*b^10*c^7*d^8 - 79760*a^4*b^10*c^8*d^7 + 5840*a^4*b^10*c^9*d^6 - 1600*a^4*b^10*c^10*d^5 + 340*a^4*b^10*c^11*d^4 - 645*a^5*b^9*c^2*d^13 - 16245*a^5*b^9*c^3*d^12 - 5690*a^5*b^9*c^4*d^11 - 133278*a^5*b^9*c^5*d^10 + 119980*a^5*b^9*c^6*d^9 + 188520*a^5*b^9*c^7*d^8 - 28880*a^5*b^9*c^8*d^7 - 1200*a^5*b^9*c^9*d^6 - 1584*a^5*b^9*c^10*d^5 + 6135*a^6*b^8*c^2*d^13 + 3645*a^6*b^8*c^3*d^12 + 77460*a^6*b^8*c^4*d^11 - 105562*a^6*b^8*c^5*d^10 - 279820*a^6*b^8*c^6*d^9 + 57980*a^6*b^8*c^7*d^8 + 21280*a^6*b^8*c^8*d^7 + 2800*a^6*b^8*c^9*d^6 - 1335*a^7*b^7*c^2*d^13 - 29515*a^7*b^7*c^3*d^12 + 69980*a^7*b^7*c^4*d^11 + 279768*a^7*b^7*c^5*d^10 - 74940*a^7*b^7*c^6*d^9 - 64460*a^7*b^7*c^7*d^8 - 2720*a^7*b^7*c^8*d^7 + 6960*a^8*b^6*c^2*d^13 - 33645*a^8*b^6*c^3*d^12 - 192920*a^8*b^6*c^4*d^11 + 69104*a^8*b^6*c^5*d^10 + 108320*a^8*b^6*c^6*d^9 + 1540*a^8*b^6*c^7*d^8 + 10980*a^9*b^5*c^2*d^13 + 91160*a^9*b^5*c^3*d^12 - 46520*a^9*b^5*c^4*d^11 - 118136*a^9*b^5*c^5*d^10 - 480*a^9*b^5*c^6*d^9 - 28380*a^10*b^4*c^2*d^13 + 22430*a^10*b^4*c^3*d^12 + 87600*a^10*b^4*c^4*d^11 + 64*a^10*b^4*c^5*d^10 - 7320*a^11*b^3*c^2*d^13 - 44220*a^11*b^3*c^3*d^12 + 14640*a^12*b^2*c^2*d^13 - 2880*a^13*b*c*d^14))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + (((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) + (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + (8*tan(e/2 + (f*x)/2)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/(b^5*(a*b^10 + b^11 - a^2*b^9 - a^3*b^8)))*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5 - (((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) - (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) - (8*tan(e/2 + (f*x)/2)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/(b^5*(a*b^10 + b^11 - a^2*b^9 - a^3*b^8)))*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5)*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4))/b^5))*(b^2*(a*d^5 + 20*a*c^2*d^3) + 4*a^3*d^5 - b^3*((5*c*d^4)/2 + 10*c^3*d^2) - 15*a^2*b*c*d^4)*2i)/(b^5*f) - ((tan(e/2 + (f*x)/2)^5*(18*b^5*c^5 - 72*a^5*d^5 + 2*b^5*d^5 + 16*a*b^4*d^5 + 12*a^4*b*d^5 - 15*b^5*c*d^4 - 14*a^2*b^3*d^5 + 38*a^3*b^2*d^5 - 60*b^5*c^2*d^3 + 180*a*b^4*c^2*d^3 - 165*a^2*b^3*c*d^4 - 45*a^3*b^2*c*d^4 + 60*a^2*b^3*c^2*d^3 + 180*a^2*b^3*c^3*d^2 - 360*a^3*b^2*c^2*d^3 + 45*a*b^4*c*d^4 - 90*a*b^4*c^4*d + 270*a^4*b*c*d^4))/(3*(a*b^4 - b^5)*(a + b)) - (tan(e/2 + (f*x)/2)^7*(2*b^5*c^5 - 8*a^5*d^5 - 2*b^5*d^5 + 4*a^4*b*d^5 + 5*b^5*c*d^4 - 2*a^2*b^3*d^5 + 6*a^3*b^2*d^5 - 20*b^5*c^2*d^3 + 20*a*b^4*c^2*d^3 - 25*a^2*b^3*c*d^4 - 15*a^3*b^2*c*d^4 + 20*a^2*b^3*c^2*d^3 + 20*a^2*b^3*c^3*d^2 - 40*a^3*b^2*c^2*d^3 + 15*a*b^4*c*d^4 - 10*a*b^4*c^4*d + 30*a^4*b*c*d^4))/((a*b^4 - b^5)*(a + b)) + (tan(e/2 + (f*x)/2)*(2*b^5*c^5 - 8*a^5*d^5 + 2*b^5*d^5 - 4*a^4*b*d^5 + 5*b^5*c*d^4 + 2*a^2*b^3*d^5 + 6*a^3*b^2*d^5 + 20*b^5*c^2*d^3 + 20*a*b^4*c^2*d^3 - 25*a^2*b^3*c*d^4 + 15*a^3*b^2*c*d^4 - 20*a^2*b^3*c^2*d^3 + 20*a^2*b^3*c^3*d^2 - 40*a^3*b^2*c^2*d^3 - 15*a*b^4*c*d^4 - 10*a*b^4*c^4*d + 30*a^4*b*c*d^4))/((a*b^4 - b^5)*(a + b)) + (tan(e/2 + (f*x)/2)^3*(72*a^5*d^5 - 18*b^5*c^5 + 2*b^5*d^5 - 16*a*b^4*d^5 + 12*a^4*b*d^5 + 15*b^5*c*d^4 - 14*a^2*b^3*d^5 - 38*a^3*b^2*d^5 - 60*b^5*c^2*d^3 - 180*a*b^4*c^2*d^3 + 165*a^2*b^3*c*d^4 - 45*a^3*b^2*c*d^4 + 60*a^2*b^3*c^2*d^3 - 180*a^2*b^3*c^3*d^2 + 360*a^3*b^2*c^2*d^3 + 45*a*b^4*c*d^4 + 90*a*b^4*c^4*d - 270*a^4*b*c*d^4))/(3*b^4*(a + b)*(a - b)))/(f*(a + b + tan(e/2 + (f*x)/2)^8*(a - b) - tan(e/2 + (f*x)/2)^2*(4*a + 2*b) - tan(e/2 + (f*x)/2)^6*(4*a - 2*b) + 6*a*tan(e/2 + (f*x)/2)^4)) + (atan((((a*d - b*c)^4*((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) + (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/((a*b^10 + b^11 - a^2*b^9 - a^3*b^8)*(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5)))*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*1i)/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5) + ((a*d - b*c)^4*((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) - (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) - (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/((a*b^10 + b^11 - a^2*b^9 - a^3*b^8)*(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5)))*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*1i)/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))/((16*(256*a^14*d^15 - 128*a^13*b*d^15 + 20*a^6*b^8*d^15 - 20*a^7*b^7*d^15 + 124*a^8*b^6*d^15 - 24*a^9*b^5*d^15 + 48*a^10*b^4*d^15 + 192*a^11*b^3*d^15 - 448*a^12*b^2*d^15 + 125*b^14*c^6*d^9 + 1000*b^14*c^8*d^7 - 250*b^14*c^9*d^6 + 2000*b^14*c^10*d^5 - 1000*b^14*c^11*d^4 - 600*a*b^13*c^5*d^10 - 125*a*b^13*c^6*d^9 - 6425*a*b^13*c^7*d^8 + 1100*a*b^13*c^8*d^7 - 16200*a*b^13*c^9*d^6 + 8100*a*b^13*c^10*d^5 - 400*a*b^13*c^11*d^4 + 400*a*b^13*c^12*d^3 - 180*a^5*b^9*c*d^14 + 180*a^6*b^8*c*d^14 - 1320*a^7*b^7*c*d^14 + 270*a^8*b^6*c*d^14 - 900*a^9*b^5*c*d^14 - 2160*a^10*b^4*c*d^14 + 5280*a^11*b^3*c*d^14 + 1440*a^12*b^2*c*d^14 + 1170*a^2*b^12*c^4*d^11 + 600*a^2*b^12*c^5*d^10 + 17795*a^2*b^12*c^6*d^9 - 1375*a^2*b^12*c^7*d^8 + 57480*a^2*b^12*c^8*d^7 - 29740*a^2*b^12*c^9*d^6 - 400*a^2*b^12*c^10*d^5 - 2010*a^2*b^12*c^11*d^4 - 40*a^2*b^12*c^13*d^2 - 1180*a^3*b^11*c^3*d^12 - 1170*a^3*b^11*c^4*d^11 - 27754*a^3*b^11*c^5*d^10 - 995*a^3*b^11*c^6*d^9 - 117635*a^3*b^11*c^7*d^8 + 66680*a^3*b^11*c^8*d^7 + 17400*a^3*b^11*c^9*d^6 + 2604*a^3*b^11*c^10*d^5 + 400*a^3*b^11*c^11*d^4 + 80*a^3*b^11*c^12*d^3 + 645*a^4*b^10*c^2*d^13 + 1180*a^4*b^10*c^3*d^12 + 26690*a^4*b^10*c^4*d^11 + 4654*a^4*b^10*c^5*d^10 + 153580*a^4*b^10*c^6*d^9 - 103805*a^4*b^10*c^7*d^8 - 79760*a^4*b^10*c^8*d^7 + 5840*a^4*b^10*c^9*d^6 - 1600*a^4*b^10*c^10*d^5 + 340*a^4*b^10*c^11*d^4 - 645*a^5*b^9*c^2*d^13 - 16245*a^5*b^9*c^3*d^12 - 5690*a^5*b^9*c^4*d^11 - 133278*a^5*b^9*c^5*d^10 + 119980*a^5*b^9*c^6*d^9 + 188520*a^5*b^9*c^7*d^8 - 28880*a^5*b^9*c^8*d^7 - 1200*a^5*b^9*c^9*d^6 - 1584*a^5*b^9*c^10*d^5 + 6135*a^6*b^8*c^2*d^13 + 3645*a^6*b^8*c^3*d^12 + 77460*a^6*b^8*c^4*d^11 - 105562*a^6*b^8*c^5*d^10 - 279820*a^6*b^8*c^6*d^9 + 57980*a^6*b^8*c^7*d^8 + 21280*a^6*b^8*c^8*d^7 + 2800*a^6*b^8*c^9*d^6 - 1335*a^7*b^7*c^2*d^13 - 29515*a^7*b^7*c^3*d^12 + 69980*a^7*b^7*c^4*d^11 + 279768*a^7*b^7*c^5*d^10 - 74940*a^7*b^7*c^6*d^9 - 64460*a^7*b^7*c^7*d^8 - 2720*a^7*b^7*c^8*d^7 + 6960*a^8*b^6*c^2*d^13 - 33645*a^8*b^6*c^3*d^12 - 192920*a^8*b^6*c^4*d^11 + 69104*a^8*b^6*c^5*d^10 + 108320*a^8*b^6*c^6*d^9 + 1540*a^8*b^6*c^7*d^8 + 10980*a^9*b^5*c^2*d^13 + 91160*a^9*b^5*c^3*d^12 - 46520*a^9*b^5*c^4*d^11 - 118136*a^9*b^5*c^5*d^10 - 480*a^9*b^5*c^6*d^9 - 28380*a^10*b^4*c^2*d^13 + 22430*a^10*b^4*c^3*d^12 + 87600*a^10*b^4*c^4*d^11 + 64*a^10*b^4*c^5*d^10 - 7320*a^11*b^3*c^2*d^13 - 44220*a^11*b^3*c^3*d^12 + 14640*a^12*b^2*c^2*d^13 - 2880*a^13*b*c*d^14))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + ((a*d - b*c)^4*((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) + (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) + (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/((a*b^10 + b^11 - a^2*b^9 - a^3*b^8)*(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5)))*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5) - ((a*d - b*c)^4*((8*tan(e/2 + (f*x)/2)*(128*a^12*d^10 - 128*a^11*b*d^10 + 4*a^2*b^10*c^10 + 4*a^2*b^10*d^10 - 8*a^3*b^9*d^10 + 28*a^4*b^8*d^10 - 48*a^5*b^7*d^10 + 28*a^6*b^6*d^10 - 8*a^7*b^5*d^10 + 8*a^8*b^4*d^10 + 192*a^9*b^3*d^10 - 192*a^10*b^2*d^10 + 25*b^12*c^2*d^8 + 200*b^12*c^4*d^6 + 400*b^12*c^6*d^4 + 100*b^12*c^8*d^2 - 50*a*b^11*c^2*d^8 - 480*a*b^11*c^3*d^7 - 400*a*b^11*c^4*d^6 - 1600*a*b^11*c^5*d^5 - 800*a*b^11*c^6*d^4 - 800*a*b^11*c^7*d^3 + 40*a^2*b^10*c*d^9 - 180*a^3*b^9*c*d^9 + 320*a^4*b^8*c*d^9 - 260*a^5*b^7*c*d^9 + 200*a^6*b^6*c*d^9 - 140*a^7*b^5*c*d^9 - 1520*a^8*b^4*c*d^9 + 1520*a^9*b^3*c*d^9 + 960*a^10*b^2*c*d^9 + 435*a^2*b^10*c^2*d^8 + 960*a^2*b^10*c^3*d^7 + 2600*a^2*b^10*c^4*d^6 + 3200*a^2*b^10*c^5*d^5 + 2400*a^2*b^10*c^6*d^4 + 160*a^2*b^10*c^8*d^2 - 820*a^3*b^9*c^2*d^8 - 2240*a^3*b^9*c^3*d^7 - 4800*a^3*b^9*c^4*d^6 - 4000*a^3*b^9*c^5*d^5 + 1600*a^3*b^9*c^6*d^4 + 160*a^3*b^9*c^7*d^3 + 1055*a^4*b^8*c^2*d^8 + 3520*a^4*b^8*c^3*d^7 + 4000*a^4*b^8*c^4*d^6 - 6400*a^4*b^8*c^5*d^5 - 2640*a^4*b^8*c^6*d^4 - 80*a^4*b^8*c^8*d^2 - 1290*a^5*b^7*c^2*d^8 - 2400*a^5*b^7*c^3*d^7 + 10800*a^5*b^7*c^4*d^6 + 7760*a^5*b^7*c^5*d^5 - 800*a^5*b^7*c^6*d^4 + 160*a^5*b^7*c^7*d^3 + 825*a^6*b^6*c^2*d^8 - 9920*a^6*b^6*c^3*d^7 - 11560*a^6*b^6*c^4*d^6 + 3200*a^6*b^6*c^5*d^5 + 680*a^6*b^6*c^6*d^4 + 5240*a^7*b^5*c^2*d^8 + 10080*a^7*b^5*c^3*d^7 - 5600*a^7*b^5*c^4*d^6 - 3168*a^7*b^5*c^5*d^5 - 5240*a^8*b^4*c^2*d^8 + 5440*a^8*b^4*c^3*d^7 + 5600*a^8*b^4*c^4*d^6 - 3080*a^9*b^3*c^2*d^8 - 5440*a^9*b^3*c^3*d^7 + 3080*a^10*b^2*c^2*d^8 - 20*a*b^11*c*d^9 - 40*a*b^11*c^9*d - 960*a^11*b*c*d^9))/(a*b^10 + b^11 - a^2*b^9 - a^3*b^8) - (((8*(4*a*b^17*c^5 + 4*a*b^17*d^5 - 10*b^18*c*d^4 - 20*b^18*c^4*d - 4*a^2*b^16*c^5 - 4*a^3*b^15*c^5 + 4*a^4*b^14*c^5 + 4*a^3*b^15*d^5 - 20*a^4*b^14*d^5 - 16*a^5*b^13*d^5 + 36*a^6*b^12*d^5 + 8*a^7*b^11*d^5 - 16*a^8*b^10*d^5 - 40*b^18*c^3*d^2 + 80*a*b^17*c^2*d^3 + 80*a*b^17*c^3*d^2 - 30*a^2*b^16*c*d^4 + 20*a^2*b^16*c^4*d + 80*a^3*b^15*c*d^4 - 20*a^3*b^15*c^4*d + 70*a^4*b^14*c*d^4 - 140*a^5*b^13*c*d^4 - 30*a^6*b^12*c*d^4 + 60*a^7*b^11*c*d^4 - 120*a^2*b^16*c^2*d^3 + 40*a^2*b^16*c^3*d^2 - 120*a^3*b^15*c^2*d^3 - 120*a^3*b^15*c^3*d^2 + 200*a^4*b^14*c^2*d^3 + 40*a^5*b^13*c^2*d^3 + 40*a^5*b^13*c^3*d^2 - 80*a^6*b^12*c^2*d^3 + 20*a*b^17*c^4*d))/(a*b^14 + b^15 - a^2*b^13 - a^3*b^12) - (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*(8*a*b^15 - 8*a^2*b^14 - 16*a^3*b^13 + 16*a^4*b^12 + 8*a^5*b^11 - 8*a^6*b^10))/((a*b^10 + b^11 - a^2*b^9 - a^3*b^8)*(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5)))*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c))/(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5)))*(a*d - b*c)^4*((a + b)^3*(a - b)^3)^(1/2)*(4*a^2*d - 5*b^2*d + a*b*c)*2i)/(f*(b^11 - 3*a^2*b^9 + 3*a^4*b^7 - a^6*b^5))","B"
259,1,12483,297,14.374358,"\text{Not used}","int((c + d/cos(e + f*x))^4/(cos(e + f*x)*(a + b/cos(e + f*x))^2),x)","-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(6\,a^4\,d^4-16\,a^3\,b\,c\,d^3-3\,a^3\,b\,d^4+12\,a^2\,b^2\,c^2\,d^2+8\,a^2\,b^2\,c\,d^3-5\,a^2\,b^2\,d^4-8\,a\,b^3\,c^3\,d+8\,a\,b^3\,c\,d^3+3\,a\,b^3\,d^4+2\,b^4\,c^4-8\,b^4\,c\,d^3+b^4\,d^4\right)}{\left(a\,b^3-b^4\right)\,\left(a+b\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(6\,a^4\,d^4-16\,a^3\,b\,c\,d^3+3\,a^3\,b\,d^4+12\,a^2\,b^2\,c^2\,d^2-8\,a^2\,b^2\,c\,d^3-5\,a^2\,b^2\,d^4-8\,a\,b^3\,c^3\,d+8\,a\,b^3\,c\,d^3-3\,a\,b^3\,d^4+2\,b^4\,c^4+8\,b^4\,c\,d^3+b^4\,d^4\right)}{b^3\,\left(a+b\right)\,\left(a-b\right)}-\frac{2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(6\,a^4\,d^4-16\,a^3\,b\,c\,d^3+12\,a^2\,b^2\,c^2\,d^2-3\,a^2\,b^2\,d^4-8\,a\,b^3\,c^3\,d+8\,a\,b^3\,c\,d^3+2\,b^4\,c^4-b^4\,d^4\right)}{b\,\left(a\,b^2-b^3\right)\,\left(a+b\right)}}{f\,\left(\left(b-a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+\left(3\,a-b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+\left(-3\,a-b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{b^4\,\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,1{}\mathrm{i}}{b^4}-\frac{\left(\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{b^4\,\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,1{}\mathrm{i}}{b^4}}{\frac{16\,\left(108\,a^{11}\,d^{12}-864\,a^{10}\,b\,c\,d^{11}-54\,a^{10}\,b\,d^{12}+2952\,a^9\,b^2\,c^2\,d^{10}+432\,a^9\,b^2\,c\,d^{11}-216\,a^9\,b^2\,d^{12}-36\,a^8\,b^3\,c^4\,d^8-5504\,a^8\,b^3\,c^3\,d^9-1584\,a^8\,b^3\,c^2\,d^{10}+1872\,a^8\,b^3\,c\,d^{11}+81\,a^8\,b^3\,d^{12}+192\,a^7\,b^4\,c^5\,d^7+5868\,a^7\,b^4\,c^4\,d^8+3472\,a^7\,b^4\,c^3\,d^9-6888\,a^7\,b^4\,c^2\,d^{10}-648\,a^7\,b^4\,c\,d^{11}+63\,a^7\,b^4\,d^{12}-400\,a^6\,b^5\,c^6\,d^6-3264\,a^6\,b^5\,c^5\,d^7-4860\,a^6\,b^5\,c^4\,d^8+13904\,a^6\,b^5\,c^3\,d^9+2394\,a^6\,b^5\,c^2\,d^{10}-744\,a^6\,b^5\,c\,d^{11}-9\,a^6\,b^5\,d^{12}+384\,a^5\,b^6\,c^7\,d^5+464\,a^5\,b^6\,c^6\,d^6+4128\,a^5\,b^6\,c^5\,d^7-16488\,a^5\,b^6\,c^4\,d^8-5424\,a^5\,b^6\,c^3\,d^9+3318\,a^5\,b^6\,c^2\,d^{10}+60\,a^5\,b^6\,c\,d^{11}+41\,a^5\,b^6\,d^{12}-132\,a^4\,b^7\,c^8\,d^4+384\,a^4\,b^7\,c^7\,d^5-1552\,a^4\,b^7\,c^6\,d^6+11232\,a^4\,b^7\,c^5\,d^7+8277\,a^4\,b^7\,c^4\,d^8-7680\,a^4\,b^7\,c^3\,d^9-126\,a^4\,b^7\,c^2\,d^{10}-252\,a^4\,b^7\,c\,d^{11}-4\,a^4\,b^7\,d^{12}-32\,a^3\,b^8\,c^9\,d^3-144\,a^3\,b^8\,c^8\,d^4-480\,a^3\,b^8\,c^7\,d^5-3752\,a^3\,b^8\,c^6\,d^6-8592\,a^3\,b^8\,c^5\,d^7+10203\,a^3\,b^8\,c^4\,d^8+76\,a^3\,b^8\,c^3\,d^9+606\,a^3\,b^8\,c^2\,d^{10}+12\,a^3\,b^8\,c\,d^{11}+4\,a^3\,b^8\,d^{12}+24\,a^2\,b^9\,c^{10}\,d^2+690\,a^2\,b^9\,c^8\,d^4+192\,a^2\,b^9\,c^7\,d^5+5784\,a^2\,b^9\,c^6\,d^6-7872\,a^2\,b^9\,c^5\,d^7+63\,a^2\,b^9\,c^4\,d^8-716\,a^2\,b^9\,c^3\,d^9-12\,a^2\,b^9\,c^2\,d^{10}-12\,a^2\,b^9\,c\,d^{11}-192\,a\,b^{10}\,c^9\,d^3+144\,a\,b^{10}\,c^8\,d^4-2256\,a\,b^{10}\,c^7\,d^5+3288\,a\,b^{10}\,c^6\,d^6-96\,a\,b^{10}\,c^5\,d^7+417\,a\,b^{10}\,c^4\,d^8+4\,a\,b^{10}\,c^3\,d^9+12\,a\,b^{10}\,c^2\,d^{10}+384\,b^{11}\,c^8\,d^4-576\,b^{11}\,c^7\,d^5+32\,b^{11}\,c^6\,d^6-96\,b^{11}\,c^5\,d^7-4\,b^{11}\,c^3\,d^9\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{\left(\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{b^4\,\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}+\frac{\left(\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{b^4\,\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)}{b^4}}\right)\,\left(b^2\,\left(6\,c^2\,d^2+\frac{d^4}{2}\right)+3\,a^2\,d^4-8\,a\,b\,c\,d^3\right)\,2{}\mathrm{i}}{b^4\,f}-\frac{\mathrm{atan}\left(\frac{\frac{{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)\,\left(-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}\right)}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}\right)\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}+\frac{{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)\,\left(-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}\right)}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}\right)\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}}{\frac{16\,\left(108\,a^{11}\,d^{12}-864\,a^{10}\,b\,c\,d^{11}-54\,a^{10}\,b\,d^{12}+2952\,a^9\,b^2\,c^2\,d^{10}+432\,a^9\,b^2\,c\,d^{11}-216\,a^9\,b^2\,d^{12}-36\,a^8\,b^3\,c^4\,d^8-5504\,a^8\,b^3\,c^3\,d^9-1584\,a^8\,b^3\,c^2\,d^{10}+1872\,a^8\,b^3\,c\,d^{11}+81\,a^8\,b^3\,d^{12}+192\,a^7\,b^4\,c^5\,d^7+5868\,a^7\,b^4\,c^4\,d^8+3472\,a^7\,b^4\,c^3\,d^9-6888\,a^7\,b^4\,c^2\,d^{10}-648\,a^7\,b^4\,c\,d^{11}+63\,a^7\,b^4\,d^{12}-400\,a^6\,b^5\,c^6\,d^6-3264\,a^6\,b^5\,c^5\,d^7-4860\,a^6\,b^5\,c^4\,d^8+13904\,a^6\,b^5\,c^3\,d^9+2394\,a^6\,b^5\,c^2\,d^{10}-744\,a^6\,b^5\,c\,d^{11}-9\,a^6\,b^5\,d^{12}+384\,a^5\,b^6\,c^7\,d^5+464\,a^5\,b^6\,c^6\,d^6+4128\,a^5\,b^6\,c^5\,d^7-16488\,a^5\,b^6\,c^4\,d^8-5424\,a^5\,b^6\,c^3\,d^9+3318\,a^5\,b^6\,c^2\,d^{10}+60\,a^5\,b^6\,c\,d^{11}+41\,a^5\,b^6\,d^{12}-132\,a^4\,b^7\,c^8\,d^4+384\,a^4\,b^7\,c^7\,d^5-1552\,a^4\,b^7\,c^6\,d^6+11232\,a^4\,b^7\,c^5\,d^7+8277\,a^4\,b^7\,c^4\,d^8-7680\,a^4\,b^7\,c^3\,d^9-126\,a^4\,b^7\,c^2\,d^{10}-252\,a^4\,b^7\,c\,d^{11}-4\,a^4\,b^7\,d^{12}-32\,a^3\,b^8\,c^9\,d^3-144\,a^3\,b^8\,c^8\,d^4-480\,a^3\,b^8\,c^7\,d^5-3752\,a^3\,b^8\,c^6\,d^6-8592\,a^3\,b^8\,c^5\,d^7+10203\,a^3\,b^8\,c^4\,d^8+76\,a^3\,b^8\,c^3\,d^9+606\,a^3\,b^8\,c^2\,d^{10}+12\,a^3\,b^8\,c\,d^{11}+4\,a^3\,b^8\,d^{12}+24\,a^2\,b^9\,c^{10}\,d^2+690\,a^2\,b^9\,c^8\,d^4+192\,a^2\,b^9\,c^7\,d^5+5784\,a^2\,b^9\,c^6\,d^6-7872\,a^2\,b^9\,c^5\,d^7+63\,a^2\,b^9\,c^4\,d^8-716\,a^2\,b^9\,c^3\,d^9-12\,a^2\,b^9\,c^2\,d^{10}-12\,a^2\,b^9\,c\,d^{11}-192\,a\,b^{10}\,c^9\,d^3+144\,a\,b^{10}\,c^8\,d^4-2256\,a\,b^{10}\,c^7\,d^5+3288\,a\,b^{10}\,c^6\,d^6-96\,a\,b^{10}\,c^5\,d^7+417\,a\,b^{10}\,c^4\,d^8+4\,a\,b^{10}\,c^3\,d^9+12\,a\,b^{10}\,c^2\,d^{10}+384\,b^{11}\,c^8\,d^4-576\,b^{11}\,c^7\,d^5+32\,b^{11}\,c^6\,d^6-96\,b^{11}\,c^5\,d^7-4\,b^{11}\,c^3\,d^9\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}+\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)\,\left(-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}\right)}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}\right)\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}-\frac{{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(72\,a^{10}\,d^8-384\,a^9\,b\,c\,d^7-72\,a^9\,b\,d^8+800\,a^8\,b^2\,c^2\,d^6+384\,a^8\,b^2\,c\,d^7-120\,a^8\,b^2\,d^8-768\,a^7\,b^3\,c^3\,d^5-800\,a^7\,b^3\,c^2\,d^6+704\,a^7\,b^3\,c\,d^7+120\,a^7\,b^3\,d^8+264\,a^6\,b^4\,c^4\,d^4+768\,a^6\,b^4\,c^3\,d^5-1624\,a^6\,b^4\,c^2\,d^6-704\,a^6\,b^4\,c\,d^7+17\,a^6\,b^4\,d^8+64\,a^5\,b^5\,c^5\,d^3-288\,a^5\,b^5\,c^4\,d^4+1824\,a^5\,b^5\,c^3\,d^5+1552\,a^5\,b^5\,c^2\,d^6-160\,a^5\,b^5\,c\,d^7-26\,a^5\,b^5\,d^8-48\,a^4\,b^6\,c^6\,d^2-944\,a^4\,b^6\,c^4\,d^4-1536\,a^4\,b^6\,c^3\,d^5+536\,a^4\,b^6\,c^2\,d^6+256\,a^4\,b^6\,c\,d^7+23\,a^4\,b^6\,d^8+96\,a^3\,b^7\,c^5\,d^3+576\,a^3\,b^7\,c^4\,d^4-896\,a^3\,b^7\,c^3\,d^5-704\,a^3\,b^7\,c^2\,d^6-160\,a^3\,b^7\,c\,d^7-20\,a^3\,b^7\,d^8+4\,a^2\,b^8\,c^8+96\,a^2\,b^8\,c^6\,d^2+816\,a^2\,b^8\,c^4\,d^4+768\,a^2\,b^8\,c^3\,d^5+376\,a^2\,b^8\,c^2\,d^6+64\,a^2\,b^8\,c\,d^7+11\,a^2\,b^8\,d^8-32\,a\,b^9\,c^7\,d-384\,a\,b^9\,c^5\,d^3-288\,a\,b^9\,c^4\,d^4-384\,a\,b^9\,c^3\,d^5-48\,a\,b^9\,c^2\,d^6-32\,a\,b^9\,c\,d^7-2\,a\,b^9\,d^8+64\,b^{10}\,c^6\,d^2+144\,b^{10}\,c^4\,d^4+24\,b^{10}\,c^2\,d^6+b^{10}\,d^8\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{\left(\frac{8\,\left(-12\,a^7\,b^8\,d^4+32\,a^6\,b^9\,c\,d^3+6\,a^6\,b^9\,d^4-24\,a^5\,b^{10}\,c^2\,d^2-16\,a^5\,b^{10}\,c\,d^3+28\,a^5\,b^{10}\,d^4-4\,a^4\,b^{11}\,c^4-80\,a^4\,b^{11}\,c\,d^3-14\,a^4\,b^{11}\,d^4+4\,a^3\,b^{12}\,c^4+16\,a^3\,b^{12}\,c^3\,d+72\,a^3\,b^{12}\,c^2\,d^2+48\,a^3\,b^{12}\,c\,d^3-16\,a^3\,b^{12}\,d^4+4\,a^2\,b^{13}\,c^4-16\,a^2\,b^{13}\,c^3\,d-24\,a^2\,b^{13}\,c^2\,d^2+48\,a^2\,b^{13}\,c\,d^3+6\,a^2\,b^{13}\,d^4-4\,a\,b^{14}\,c^4-16\,a\,b^{14}\,c^3\,d-48\,a\,b^{14}\,c^2\,d^2-32\,a\,b^{14}\,c\,d^3+16\,b^{15}\,c^3\,d+24\,b^{15}\,c^2\,d^2+2\,b^{15}\,d^4\right)}{-a^3\,b^9-a^2\,b^{10}+a\,b^{11}+b^{12}}-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,\left(-8\,a^6\,b^8+8\,a^5\,b^9+16\,a^4\,b^{10}-16\,a^3\,b^{11}-8\,a^2\,b^{12}+8\,a\,b^{13}\right)}{\left(-a^3\,b^6-a^2\,b^7+a\,b^8+b^9\right)\,\left(-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}\right)}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}\right)\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)}{-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}}}\right)\,{\left(a\,d-b\,c\right)}^3\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(3\,d\,a^2+c\,a\,b-4\,d\,b^2\right)\,2{}\mathrm{i}}{f\,\left(-a^6\,b^4+3\,a^4\,b^6-3\,a^2\,b^8+b^{10}\right)}","Not used",1,"(atan(((((((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) - (8*tan(e/2 + (f*x)/2)*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/(b^4*(a*b^8 + b^9 - a^2*b^7 - a^3*b^6)))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4 - (8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*1i)/b^4 - (((((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + (8*tan(e/2 + (f*x)/2)*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/(b^4*(a*b^8 + b^9 - a^2*b^7 - a^3*b^6)))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4 + (8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*1i)/b^4)/((16*(108*a^11*d^12 - 54*a^10*b*d^12 + 4*a^3*b^8*d^12 - 4*a^4*b^7*d^12 + 41*a^5*b^6*d^12 - 9*a^6*b^5*d^12 + 63*a^7*b^4*d^12 + 81*a^8*b^3*d^12 - 216*a^9*b^2*d^12 - 4*b^11*c^3*d^9 - 96*b^11*c^5*d^7 + 32*b^11*c^6*d^6 - 576*b^11*c^7*d^5 + 384*b^11*c^8*d^4 + 12*a*b^10*c^2*d^10 + 4*a*b^10*c^3*d^9 + 417*a*b^10*c^4*d^8 - 96*a*b^10*c^5*d^7 + 3288*a*b^10*c^6*d^6 - 2256*a*b^10*c^7*d^5 + 144*a*b^10*c^8*d^4 - 192*a*b^10*c^9*d^3 - 12*a^2*b^9*c*d^11 + 12*a^3*b^8*c*d^11 - 252*a^4*b^7*c*d^11 + 60*a^5*b^6*c*d^11 - 744*a^6*b^5*c*d^11 - 648*a^7*b^4*c*d^11 + 1872*a^8*b^3*c*d^11 + 432*a^9*b^2*c*d^11 - 12*a^2*b^9*c^2*d^10 - 716*a^2*b^9*c^3*d^9 + 63*a^2*b^9*c^4*d^8 - 7872*a^2*b^9*c^5*d^7 + 5784*a^2*b^9*c^6*d^6 + 192*a^2*b^9*c^7*d^5 + 690*a^2*b^9*c^8*d^4 + 24*a^2*b^9*c^10*d^2 + 606*a^3*b^8*c^2*d^10 + 76*a^3*b^8*c^3*d^9 + 10203*a^3*b^8*c^4*d^8 - 8592*a^3*b^8*c^5*d^7 - 3752*a^3*b^8*c^6*d^6 - 480*a^3*b^8*c^7*d^5 - 144*a^3*b^8*c^8*d^4 - 32*a^3*b^8*c^9*d^3 - 126*a^4*b^7*c^2*d^10 - 7680*a^4*b^7*c^3*d^9 + 8277*a^4*b^7*c^4*d^8 + 11232*a^4*b^7*c^5*d^7 - 1552*a^4*b^7*c^6*d^6 + 384*a^4*b^7*c^7*d^5 - 132*a^4*b^7*c^8*d^4 + 3318*a^5*b^6*c^2*d^10 - 5424*a^5*b^6*c^3*d^9 - 16488*a^5*b^6*c^4*d^8 + 4128*a^5*b^6*c^5*d^7 + 464*a^5*b^6*c^6*d^6 + 384*a^5*b^6*c^7*d^5 + 2394*a^6*b^5*c^2*d^10 + 13904*a^6*b^5*c^3*d^9 - 4860*a^6*b^5*c^4*d^8 - 3264*a^6*b^5*c^5*d^7 - 400*a^6*b^5*c^6*d^6 - 6888*a^7*b^4*c^2*d^10 + 3472*a^7*b^4*c^3*d^9 + 5868*a^7*b^4*c^4*d^8 + 192*a^7*b^4*c^5*d^7 - 1584*a^8*b^3*c^2*d^10 - 5504*a^8*b^3*c^3*d^9 - 36*a^8*b^3*c^4*d^8 + 2952*a^9*b^2*c^2*d^10 - 864*a^10*b*c*d^11))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + (((((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) - (8*tan(e/2 + (f*x)/2)*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/(b^4*(a*b^8 + b^9 - a^2*b^7 - a^3*b^6)))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4 - (8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4 + (((((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + (8*tan(e/2 + (f*x)/2)*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/(b^4*(a*b^8 + b^9 - a^2*b^7 - a^3*b^6)))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4 + (8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3))/b^4))*(b^2*(d^4/2 + 6*c^2*d^2) + 3*a^2*d^4 - 8*a*b*c*d^3)*2i)/(b^4*f) - ((tan(e/2 + (f*x)/2)^5*(6*a^4*d^4 + 2*b^4*c^4 + b^4*d^4 + 3*a*b^3*d^4 - 3*a^3*b*d^4 - 8*b^4*c*d^3 - 5*a^2*b^2*d^4 + 8*a^2*b^2*c*d^3 + 12*a^2*b^2*c^2*d^2 + 8*a*b^3*c*d^3 - 8*a*b^3*c^3*d - 16*a^3*b*c*d^3))/((a*b^3 - b^4)*(a + b)) + (tan(e/2 + (f*x)/2)*(6*a^4*d^4 + 2*b^4*c^4 + b^4*d^4 - 3*a*b^3*d^4 + 3*a^3*b*d^4 + 8*b^4*c*d^3 - 5*a^2*b^2*d^4 - 8*a^2*b^2*c*d^3 + 12*a^2*b^2*c^2*d^2 + 8*a*b^3*c*d^3 - 8*a*b^3*c^3*d - 16*a^3*b*c*d^3))/(b^3*(a + b)*(a - b)) - (2*tan(e/2 + (f*x)/2)^3*(6*a^4*d^4 + 2*b^4*c^4 - b^4*d^4 - 3*a^2*b^2*d^4 + 12*a^2*b^2*c^2*d^2 + 8*a*b^3*c*d^3 - 8*a*b^3*c^3*d - 16*a^3*b*c*d^3))/(b*(a*b^2 - b^3)*(a + b)))/(f*(a + b - tan(e/2 + (f*x)/2)^2*(3*a + b) - tan(e/2 + (f*x)/2)^6*(a - b) + tan(e/2 + (f*x)/2)^4*(3*a - b))) - (atan((((a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/((a*b^8 + b^9 - a^2*b^7 - a^3*b^6)*(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4)))*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))*(3*a^2*d - 4*b^2*d + a*b*c)*1i)/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4) + ((a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) - (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/((a*b^8 + b^9 - a^2*b^7 - a^3*b^6)*(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4)))*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))*(3*a^2*d - 4*b^2*d + a*b*c)*1i)/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))/((16*(108*a^11*d^12 - 54*a^10*b*d^12 + 4*a^3*b^8*d^12 - 4*a^4*b^7*d^12 + 41*a^5*b^6*d^12 - 9*a^6*b^5*d^12 + 63*a^7*b^4*d^12 + 81*a^8*b^3*d^12 - 216*a^9*b^2*d^12 - 4*b^11*c^3*d^9 - 96*b^11*c^5*d^7 + 32*b^11*c^6*d^6 - 576*b^11*c^7*d^5 + 384*b^11*c^8*d^4 + 12*a*b^10*c^2*d^10 + 4*a*b^10*c^3*d^9 + 417*a*b^10*c^4*d^8 - 96*a*b^10*c^5*d^7 + 3288*a*b^10*c^6*d^6 - 2256*a*b^10*c^7*d^5 + 144*a*b^10*c^8*d^4 - 192*a*b^10*c^9*d^3 - 12*a^2*b^9*c*d^11 + 12*a^3*b^8*c*d^11 - 252*a^4*b^7*c*d^11 + 60*a^5*b^6*c*d^11 - 744*a^6*b^5*c*d^11 - 648*a^7*b^4*c*d^11 + 1872*a^8*b^3*c*d^11 + 432*a^9*b^2*c*d^11 - 12*a^2*b^9*c^2*d^10 - 716*a^2*b^9*c^3*d^9 + 63*a^2*b^9*c^4*d^8 - 7872*a^2*b^9*c^5*d^7 + 5784*a^2*b^9*c^6*d^6 + 192*a^2*b^9*c^7*d^5 + 690*a^2*b^9*c^8*d^4 + 24*a^2*b^9*c^10*d^2 + 606*a^3*b^8*c^2*d^10 + 76*a^3*b^8*c^3*d^9 + 10203*a^3*b^8*c^4*d^8 - 8592*a^3*b^8*c^5*d^7 - 3752*a^3*b^8*c^6*d^6 - 480*a^3*b^8*c^7*d^5 - 144*a^3*b^8*c^8*d^4 - 32*a^3*b^8*c^9*d^3 - 126*a^4*b^7*c^2*d^10 - 7680*a^4*b^7*c^3*d^9 + 8277*a^4*b^7*c^4*d^8 + 11232*a^4*b^7*c^5*d^7 - 1552*a^4*b^7*c^6*d^6 + 384*a^4*b^7*c^7*d^5 - 132*a^4*b^7*c^8*d^4 + 3318*a^5*b^6*c^2*d^10 - 5424*a^5*b^6*c^3*d^9 - 16488*a^5*b^6*c^4*d^8 + 4128*a^5*b^6*c^5*d^7 + 464*a^5*b^6*c^6*d^6 + 384*a^5*b^6*c^7*d^5 + 2394*a^6*b^5*c^2*d^10 + 13904*a^6*b^5*c^3*d^9 - 4860*a^6*b^5*c^4*d^8 - 3264*a^6*b^5*c^5*d^7 - 400*a^6*b^5*c^6*d^6 - 6888*a^7*b^4*c^2*d^10 + 3472*a^7*b^4*c^3*d^9 + 5868*a^7*b^4*c^4*d^8 + 192*a^7*b^4*c^5*d^7 - 1584*a^8*b^3*c^2*d^10 - 5504*a^8*b^3*c^3*d^9 - 36*a^8*b^3*c^4*d^8 + 2952*a^9*b^2*c^2*d^10 - 864*a^10*b*c*d^11))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + ((a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) + (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/((a*b^8 + b^9 - a^2*b^7 - a^3*b^6)*(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4)))*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4) - ((a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(e/2 + (f*x)/2)*(72*a^10*d^8 + b^10*d^8 - 2*a*b^9*d^8 - 72*a^9*b*d^8 + 4*a^2*b^8*c^8 + 11*a^2*b^8*d^8 - 20*a^3*b^7*d^8 + 23*a^4*b^6*d^8 - 26*a^5*b^5*d^8 + 17*a^6*b^4*d^8 + 120*a^7*b^3*d^8 - 120*a^8*b^2*d^8 + 24*b^10*c^2*d^6 + 144*b^10*c^4*d^4 + 64*b^10*c^6*d^2 - 48*a*b^9*c^2*d^6 - 384*a*b^9*c^3*d^5 - 288*a*b^9*c^4*d^4 - 384*a*b^9*c^5*d^3 + 64*a^2*b^8*c*d^7 - 160*a^3*b^7*c*d^7 + 256*a^4*b^6*c*d^7 - 160*a^5*b^5*c*d^7 - 704*a^6*b^4*c*d^7 + 704*a^7*b^3*c*d^7 + 384*a^8*b^2*c*d^7 + 376*a^2*b^8*c^2*d^6 + 768*a^2*b^8*c^3*d^5 + 816*a^2*b^8*c^4*d^4 + 96*a^2*b^8*c^6*d^2 - 704*a^3*b^7*c^2*d^6 - 896*a^3*b^7*c^3*d^5 + 576*a^3*b^7*c^4*d^4 + 96*a^3*b^7*c^5*d^3 + 536*a^4*b^6*c^2*d^6 - 1536*a^4*b^6*c^3*d^5 - 944*a^4*b^6*c^4*d^4 - 48*a^4*b^6*c^6*d^2 + 1552*a^5*b^5*c^2*d^6 + 1824*a^5*b^5*c^3*d^5 - 288*a^5*b^5*c^4*d^4 + 64*a^5*b^5*c^5*d^3 - 1624*a^6*b^4*c^2*d^6 + 768*a^6*b^4*c^3*d^5 + 264*a^6*b^4*c^4*d^4 - 800*a^7*b^3*c^2*d^6 - 768*a^7*b^3*c^3*d^5 + 800*a^8*b^2*c^2*d^6 - 32*a*b^9*c*d^7 - 32*a*b^9*c^7*d - 384*a^9*b*c*d^7))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (((8*(2*b^15*d^4 - 4*a*b^14*c^4 + 16*b^15*c^3*d + 4*a^2*b^13*c^4 + 4*a^3*b^12*c^4 - 4*a^4*b^11*c^4 + 6*a^2*b^13*d^4 - 16*a^3*b^12*d^4 - 14*a^4*b^11*d^4 + 28*a^5*b^10*d^4 + 6*a^6*b^9*d^4 - 12*a^7*b^8*d^4 + 24*b^15*c^2*d^2 - 48*a*b^14*c^2*d^2 + 48*a^2*b^13*c*d^3 - 16*a^2*b^13*c^3*d + 48*a^3*b^12*c*d^3 + 16*a^3*b^12*c^3*d - 80*a^4*b^11*c*d^3 - 16*a^5*b^10*c*d^3 + 32*a^6*b^9*c*d^3 - 24*a^2*b^13*c^2*d^2 + 72*a^3*b^12*c^2*d^2 - 24*a^5*b^10*c^2*d^2 - 32*a*b^14*c*d^3 - 16*a*b^14*c^3*d))/(a*b^11 + b^12 - a^2*b^10 - a^3*b^9) - (8*tan(e/2 + (f*x)/2)*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c)*(8*a*b^13 - 8*a^2*b^12 - 16*a^3*b^11 + 16*a^4*b^10 + 8*a^5*b^9 - 8*a^6*b^8))/((a*b^8 + b^9 - a^2*b^7 - a^3*b^6)*(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4)))*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))*(3*a^2*d - 4*b^2*d + a*b*c))/(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4)))*(a*d - b*c)^3*((a + b)^3*(a - b)^3)^(1/2)*(3*a^2*d - 4*b^2*d + a*b*c)*2i)/(f*(b^10 - 3*a^2*b^8 + 3*a^4*b^6 - a^6*b^4))","B"
260,1,7958,228,11.296938,"\text{Not used}","int((c + d/cos(e + f*x))^3/(cos(e + f*x)*(a + b/cos(e + f*x))^2),x)","-\frac{\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-2\,a^3\,d^3+3\,a^2\,b\,c\,d^2-a^2\,b\,d^3-3\,a\,b^2\,c^2\,d+a\,b^2\,d^3+b^3\,c^3+b^3\,d^3\right)}{b^2\,\left(a+b\right)\,\left(a-b\right)}-\frac{2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-2\,a^3\,d^3+3\,a^2\,b\,c\,d^2+a^2\,b\,d^3-3\,a\,b^2\,c^2\,d+a\,b^2\,d^3+b^3\,c^3-b^3\,d^3\right)}{b^2\,\left(a+b\right)\,\left(a-b\right)}}{f\,\left(\left(a-b\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-2\,a\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)}+\frac{d^2\,\mathrm{atan}\left(\frac{\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}+\frac{d^2\,\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d-3\,b\,c\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{b^3\,\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}\right)\,\left(2\,a\,d-3\,b\,c\right)\,1{}\mathrm{i}}{b^3}+\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}-\frac{d^2\,\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d-3\,b\,c\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{b^3\,\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}\right)\,\left(2\,a\,d-3\,b\,c\right)\,1{}\mathrm{i}}{b^3}}{\frac{64\,\left(8\,a^8\,d^9-36\,a^7\,b\,c\,d^8-4\,a^7\,b\,d^9+4\,a^6\,b^2\,c^3\,d^6+54\,a^6\,b^2\,c^2\,d^7+24\,a^6\,b^2\,c\,d^8-20\,a^6\,b^2\,d^9-12\,a^5\,b^3\,c^4\,d^5-23\,a^5\,b^3\,c^3\,d^6-57\,a^5\,b^3\,c^2\,d^7+96\,a^5\,b^3\,c\,d^8+6\,a^5\,b^3\,d^9+9\,a^4\,b^4\,c^5\,d^4-12\,a^4\,b^4\,c^4\,d^5+55\,a^4\,b^4\,c^3\,d^6-165\,a^4\,b^4\,c^2\,d^7-39\,a^4\,b^4\,c\,d^8+12\,a^4\,b^4\,d^9+2\,a^3\,b^5\,c^6\,d^3+9\,a^3\,b^5\,c^5\,d^4+3\,a^3\,b^5\,c^4\,d^5+113\,a^3\,b^5\,c^3\,d^6+105\,a^3\,b^5\,c^2\,d^7-60\,a^3\,b^5\,c\,d^8-3\,a^2\,b^6\,c^7\,d^2-39\,a^2\,b^6\,c^5\,d^4-15\,a^2\,b^6\,c^4\,d^5-144\,a^2\,b^6\,c^3\,d^6+111\,a^2\,b^6\,c^2\,d^7+18\,a\,b^7\,c^6\,d^3-9\,a\,b^7\,c^5\,d^4+99\,a\,b^7\,c^4\,d^5-90\,a\,b^7\,c^3\,d^6-27\,b^8\,c^5\,d^4+27\,b^8\,c^4\,d^5\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}+\frac{d^2\,\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d-3\,b\,c\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{b^3\,\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}-\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}-\frac{d^2\,\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d-3\,b\,c\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{b^3\,\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}\right)\,\left(2\,a\,d-3\,b\,c\right)}{b^3}}\right)\,\left(2\,a\,d-3\,b\,c\right)\,2{}\mathrm{i}}{b^3\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}+\frac{\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)\,\left(-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}-\frac{\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)\,\left(-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}}{\frac{64\,\left(8\,a^8\,d^9-36\,a^7\,b\,c\,d^8-4\,a^7\,b\,d^9+4\,a^6\,b^2\,c^3\,d^6+54\,a^6\,b^2\,c^2\,d^7+24\,a^6\,b^2\,c\,d^8-20\,a^6\,b^2\,d^9-12\,a^5\,b^3\,c^4\,d^5-23\,a^5\,b^3\,c^3\,d^6-57\,a^5\,b^3\,c^2\,d^7+96\,a^5\,b^3\,c\,d^8+6\,a^5\,b^3\,d^9+9\,a^4\,b^4\,c^5\,d^4-12\,a^4\,b^4\,c^4\,d^5+55\,a^4\,b^4\,c^3\,d^6-165\,a^4\,b^4\,c^2\,d^7-39\,a^4\,b^4\,c\,d^8+12\,a^4\,b^4\,d^9+2\,a^3\,b^5\,c^6\,d^3+9\,a^3\,b^5\,c^5\,d^4+3\,a^3\,b^5\,c^4\,d^5+113\,a^3\,b^5\,c^3\,d^6+105\,a^3\,b^5\,c^2\,d^7-60\,a^3\,b^5\,c\,d^8-3\,a^2\,b^6\,c^7\,d^2-39\,a^2\,b^6\,c^5\,d^4-15\,a^2\,b^6\,c^4\,d^5-144\,a^2\,b^6\,c^3\,d^6+111\,a^2\,b^6\,c^2\,d^7+18\,a\,b^7\,c^6\,d^3-9\,a\,b^7\,c^5\,d^4+99\,a\,b^7\,c^4\,d^5-90\,a\,b^7\,c^3\,d^6-27\,b^8\,c^5\,d^4+27\,b^8\,c^4\,d^5\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}+\frac{\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)\,\left(-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}-\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,a^8\,d^6-24\,a^7\,b\,c\,d^5-8\,a^7\,b\,d^6+18\,a^6\,b^2\,c^2\,d^4+24\,a^6\,b^2\,c\,d^5-16\,a^6\,b^2\,d^6+4\,a^5\,b^3\,c^3\,d^3-18\,a^5\,b^3\,c^2\,d^4+54\,a^5\,b^3\,c\,d^5+16\,a^5\,b^3\,d^6-6\,a^4\,b^4\,c^4\,d^2-57\,a^4\,b^4\,c^2\,d^4-48\,a^4\,b^4\,c\,d^5+5\,a^4\,b^4\,d^6+12\,a^3\,b^5\,c^3\,d^3+36\,a^3\,b^5\,c^2\,d^4-24\,a^3\,b^5\,c\,d^5-8\,a^3\,b^5\,d^6+a^2\,b^6\,c^6+12\,a^2\,b^6\,c^4\,d^2+45\,a^2\,b^6\,c^2\,d^4+24\,a^2\,b^6\,c\,d^5+4\,a^2\,b^6\,d^6-6\,a\,b^7\,c^5\,d-36\,a\,b^7\,c^3\,d^3-18\,a\,b^7\,c^2\,d^4-12\,a\,b^7\,c\,d^5+9\,b^8\,c^4\,d^2+9\,b^8\,c^2\,d^4\right)}{-a^3\,b^4-a^2\,b^5+a\,b^6+b^7}-\frac{\left(\frac{32\,\left(-2\,a^6\,b^6\,d^3+3\,a^5\,b^7\,c\,d^2+a^5\,b^7\,d^3+a^4\,b^8\,c^3+5\,a^4\,b^8\,d^3-a^3\,b^9\,c^3-3\,a^3\,b^9\,c^2\,d-9\,a^3\,b^9\,c\,d^2-3\,a^3\,b^9\,d^3-a^2\,b^{10}\,c^3+3\,a^2\,b^{10}\,c^2\,d+3\,a^2\,b^{10}\,c\,d^2-3\,a^2\,b^{10}\,d^3+a\,b^{11}\,c^3+3\,a\,b^{11}\,c^2\,d+6\,a\,b^{11}\,c\,d^2+2\,a\,b^{11}\,d^3-3\,b^{12}\,c^2\,d-3\,b^{12}\,c\,d^2\right)}{-a^3\,b^6-a^2\,b^7+a\,b^8+b^9}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,\left(-2\,a^6\,b^6+2\,a^5\,b^7+4\,a^4\,b^8-4\,a^3\,b^9-2\,a^2\,b^{10}+2\,a\,b^{11}\right)}{\left(-a^3\,b^4-a^2\,b^5+a\,b^6+b^7\right)\,\left(-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9\right)}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)}{-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9}}\right)\,{\left(a\,d-b\,c\right)}^2\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(2\,d\,a^2+c\,a\,b-3\,d\,b^2\right)\,2{}\mathrm{i}}{f\,\left(-a^6\,b^3+3\,a^4\,b^5-3\,a^2\,b^7+b^9\right)}","Not used",1,"(d^2*atan(((d^2*((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) + (d^2*((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (32*d^2*tan(e/2 + (f*x)/2)*(2*a*d - 3*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/(b^3*(a*b^6 + b^7 - a^2*b^5 - a^3*b^4)))*(2*a*d - 3*b*c))/b^3)*(2*a*d - 3*b*c)*1i)/b^3 + (d^2*((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) - (d^2*((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (32*d^2*tan(e/2 + (f*x)/2)*(2*a*d - 3*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/(b^3*(a*b^6 + b^7 - a^2*b^5 - a^3*b^4)))*(2*a*d - 3*b*c))/b^3)*(2*a*d - 3*b*c)*1i)/b^3)/((64*(8*a^8*d^9 - 4*a^7*b*d^9 + 12*a^4*b^4*d^9 + 6*a^5*b^3*d^9 - 20*a^6*b^2*d^9 + 27*b^8*c^4*d^5 - 27*b^8*c^5*d^4 - 90*a*b^7*c^3*d^6 + 99*a*b^7*c^4*d^5 - 9*a*b^7*c^5*d^4 + 18*a*b^7*c^6*d^3 - 60*a^3*b^5*c*d^8 - 39*a^4*b^4*c*d^8 + 96*a^5*b^3*c*d^8 + 24*a^6*b^2*c*d^8 + 111*a^2*b^6*c^2*d^7 - 144*a^2*b^6*c^3*d^6 - 15*a^2*b^6*c^4*d^5 - 39*a^2*b^6*c^5*d^4 - 3*a^2*b^6*c^7*d^2 + 105*a^3*b^5*c^2*d^7 + 113*a^3*b^5*c^3*d^6 + 3*a^3*b^5*c^4*d^5 + 9*a^3*b^5*c^5*d^4 + 2*a^3*b^5*c^6*d^3 - 165*a^4*b^4*c^2*d^7 + 55*a^4*b^4*c^3*d^6 - 12*a^4*b^4*c^4*d^5 + 9*a^4*b^4*c^5*d^4 - 57*a^5*b^3*c^2*d^7 - 23*a^5*b^3*c^3*d^6 - 12*a^5*b^3*c^4*d^5 + 54*a^6*b^2*c^2*d^7 + 4*a^6*b^2*c^3*d^6 - 36*a^7*b*c*d^8))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (d^2*((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) + (d^2*((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (32*d^2*tan(e/2 + (f*x)/2)*(2*a*d - 3*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/(b^3*(a*b^6 + b^7 - a^2*b^5 - a^3*b^4)))*(2*a*d - 3*b*c))/b^3)*(2*a*d - 3*b*c))/b^3 - (d^2*((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) - (d^2*((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (32*d^2*tan(e/2 + (f*x)/2)*(2*a*d - 3*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/(b^3*(a*b^6 + b^7 - a^2*b^5 - a^3*b^4)))*(2*a*d - 3*b*c))/b^3)*(2*a*d - 3*b*c))/b^3))*(2*a*d - 3*b*c)*2i)/(b^3*f) - ((2*tan(e/2 + (f*x)/2)*(b^3*c^3 - 2*a^3*d^3 + b^3*d^3 + a*b^2*d^3 - a^2*b*d^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2))/(b^2*(a + b)*(a - b)) - (2*tan(e/2 + (f*x)/2)^3*(b^3*c^3 - 2*a^3*d^3 - b^3*d^3 + a*b^2*d^3 + a^2*b*d^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2))/(b^2*(a + b)*(a - b)))/(f*(a + b + tan(e/2 + (f*x)/2)^4*(a - b) - 2*a*tan(e/2 + (f*x)/2)^2)) + (atan(((((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) + (((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/((a*b^6 + b^7 - a^2*b^5 - a^3*b^4)*(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3)))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*1i)/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3) + (((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) - (((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/((a*b^6 + b^7 - a^2*b^5 - a^3*b^4)*(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3)))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*1i)/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))/((64*(8*a^8*d^9 - 4*a^7*b*d^9 + 12*a^4*b^4*d^9 + 6*a^5*b^3*d^9 - 20*a^6*b^2*d^9 + 27*b^8*c^4*d^5 - 27*b^8*c^5*d^4 - 90*a*b^7*c^3*d^6 + 99*a*b^7*c^4*d^5 - 9*a*b^7*c^5*d^4 + 18*a*b^7*c^6*d^3 - 60*a^3*b^5*c*d^8 - 39*a^4*b^4*c*d^8 + 96*a^5*b^3*c*d^8 + 24*a^6*b^2*c*d^8 + 111*a^2*b^6*c^2*d^7 - 144*a^2*b^6*c^3*d^6 - 15*a^2*b^6*c^4*d^5 - 39*a^2*b^6*c^5*d^4 - 3*a^2*b^6*c^7*d^2 + 105*a^3*b^5*c^2*d^7 + 113*a^3*b^5*c^3*d^6 + 3*a^3*b^5*c^4*d^5 + 9*a^3*b^5*c^5*d^4 + 2*a^3*b^5*c^6*d^3 - 165*a^4*b^4*c^2*d^7 + 55*a^4*b^4*c^3*d^6 - 12*a^4*b^4*c^4*d^5 + 9*a^4*b^4*c^5*d^4 - 57*a^5*b^3*c^2*d^7 - 23*a^5*b^3*c^3*d^6 - 12*a^5*b^3*c^4*d^5 + 54*a^6*b^2*c^2*d^7 + 4*a^6*b^2*c^3*d^6 - 36*a^7*b*c*d^8))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) + (((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/((a*b^6 + b^7 - a^2*b^5 - a^3*b^4)*(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3)))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3) - (((32*tan(e/2 + (f*x)/2)*(8*a^8*d^6 - 8*a^7*b*d^6 + a^2*b^6*c^6 + 4*a^2*b^6*d^6 - 8*a^3*b^5*d^6 + 5*a^4*b^4*d^6 + 16*a^5*b^3*d^6 - 16*a^6*b^2*d^6 + 9*b^8*c^2*d^4 + 9*b^8*c^4*d^2 - 18*a*b^7*c^2*d^4 - 36*a*b^7*c^3*d^3 + 24*a^2*b^6*c*d^5 - 24*a^3*b^5*c*d^5 - 48*a^4*b^4*c*d^5 + 54*a^5*b^3*c*d^5 + 24*a^6*b^2*c*d^5 + 45*a^2*b^6*c^2*d^4 + 12*a^2*b^6*c^4*d^2 + 36*a^3*b^5*c^2*d^4 + 12*a^3*b^5*c^3*d^3 - 57*a^4*b^4*c^2*d^4 - 6*a^4*b^4*c^4*d^2 - 18*a^5*b^3*c^2*d^4 + 4*a^5*b^3*c^3*d^3 + 18*a^6*b^2*c^2*d^4 - 12*a*b^7*c*d^5 - 6*a*b^7*c^5*d - 24*a^7*b*c*d^5))/(a*b^6 + b^7 - a^2*b^5 - a^3*b^4) - (((32*(a*b^11*c^3 + 2*a*b^11*d^3 - 3*b^12*c*d^2 - 3*b^12*c^2*d - a^2*b^10*c^3 - a^3*b^9*c^3 + a^4*b^8*c^3 - 3*a^2*b^10*d^3 - 3*a^3*b^9*d^3 + 5*a^4*b^8*d^3 + a^5*b^7*d^3 - 2*a^6*b^6*d^3 + 3*a^2*b^10*c*d^2 + 3*a^2*b^10*c^2*d - 9*a^3*b^9*c*d^2 - 3*a^3*b^9*c^2*d + 3*a^5*b^7*c*d^2 + 6*a*b^11*c*d^2 + 3*a*b^11*c^2*d))/(a*b^8 + b^9 - a^2*b^7 - a^3*b^6) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*(2*a*b^11 - 2*a^2*b^10 - 4*a^3*b^9 + 4*a^4*b^8 + 2*a^5*b^7 - 2*a^6*b^6))/((a*b^6 + b^7 - a^2*b^5 - a^3*b^4)*(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3)))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c))/(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3)))*(a*d - b*c)^2*((a + b)^3*(a - b)^3)^(1/2)*(2*a^2*d - 3*b^2*d + a*b*c)*2i)/(f*(b^9 - 3*a^2*b^7 + 3*a^4*b^5 - a^6*b^3))","B"
261,1,4926,198,9.748626,"\text{Not used}","int((c + d/cos(e + f*x))^2/(cos(e + f*x)*(a + b/cos(e + f*x))^2),x)","-\frac{d^2\,\mathrm{atan}\left(\frac{\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}+\frac{d^2\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{b^2\,\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)}\right)}{b^2}\right)\,1{}\mathrm{i}}{b^2}+\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}-\frac{d^2\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{b^2\,\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)}\right)}{b^2}\right)\,1{}\mathrm{i}}{b^2}}{\frac{64\,\left(a^5\,d^6-a^4\,b\,c^2\,d^4-a^4\,b\,d^6-a^3\,b^2\,c^2\,d^4+2\,a^3\,b^2\,c\,d^5-3\,a^3\,b^2\,d^6+a^2\,b^3\,c^4\,d^2+3\,a^2\,b^3\,c^2\,d^4+2\,a^2\,b^3\,c\,d^5+2\,a^2\,b^3\,d^6-4\,a\,b^4\,c^3\,d^3+a\,b^4\,c^2\,d^4-6\,a\,b^4\,c\,d^5+2\,a\,b^4\,d^6+4\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}+\frac{d^2\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{b^2\,\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)}\right)}{b^2}\right)}{b^2}+\frac{d^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}-\frac{d^2\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{b^2\,\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)}\right)}{b^2}\right)}{b^2}}\right)\,2{}\mathrm{i}}{b^2\,f}-\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,d^2-2\,a\,b\,c\,d+b^2\,c^2\right)}{f\,\left(a+b\right)\,\left(a\,b-b^2\right)\,\left(\left(b-a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}+\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)\,\left(-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8\right)}\right)\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}-\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)\,\left(-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8\right)}\right)\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,1{}\mathrm{i}}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}}{\frac{64\,\left(a^5\,d^6-a^4\,b\,c^2\,d^4-a^4\,b\,d^6-a^3\,b^2\,c^2\,d^4+2\,a^3\,b^2\,c\,d^5-3\,a^3\,b^2\,d^6+a^2\,b^3\,c^4\,d^2+3\,a^2\,b^3\,c^2\,d^4+2\,a^2\,b^3\,c\,d^5+2\,a^2\,b^3\,d^6-4\,a\,b^4\,c^3\,d^3+a\,b^4\,c^2\,d^4-6\,a\,b^4\,c\,d^5+2\,a\,b^4\,d^6+4\,b^5\,c^2\,d^4-2\,b^5\,c\,d^5\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}+\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)\,\left(-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8\right)}\right)\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a^6\,d^4-2\,a^5\,b\,d^4-2\,a^4\,b^2\,c^2\,d^2-5\,a^4\,b^2\,d^4+4\,a^3\,b^3\,c\,d^3+4\,a^3\,b^3\,d^4+a^2\,b^4\,c^4+4\,a^2\,b^4\,c^2\,d^2+3\,a^2\,b^4\,d^4-4\,a\,b^5\,c^3\,d-8\,a\,b^5\,c\,d^3-2\,a\,b^5\,d^4+4\,b^6\,c^2\,d^2+b^6\,d^4\right)}{-a^3\,b^2-a^2\,b^3+a\,b^4+b^5}-\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(a^5\,b^4\,d^2+a^4\,b^5\,c^2-a^3\,b^6\,c^2-2\,a^3\,b^6\,c\,d-3\,a^3\,b^6\,d^2-a^2\,b^7\,c^2+2\,a^2\,b^7\,c\,d+a^2\,b^7\,d^2+a\,b^8\,c^2+2\,a\,b^8\,c\,d+2\,a\,b^8\,d^2-2\,b^9\,c\,d-b^9\,d^2\right)}{-a^3\,b^3-a^2\,b^4+a\,b^5+b^6}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,\left(-2\,a^6\,b^4+2\,a^5\,b^5+4\,a^4\,b^6-4\,a^3\,b^7-2\,a^2\,b^8+2\,a\,b^9\right)}{\left(-a^3\,b^2-a^2\,b^3+a\,b^4+b^5\right)\,\left(-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8\right)}\right)\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)}{-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8}}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(d\,a^2+c\,a\,b-2\,d\,b^2\right)\,2{}\mathrm{i}}{f\,\left(-a^6\,b^2+3\,a^4\,b^4-3\,a^2\,b^6+b^8\right)}","Not used",1,"- (d^2*atan(((d^2*((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) + (d^2*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) + (32*d^2*tan(e/2 + (f*x)/2)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/(b^2*(a*b^4 + b^5 - a^2*b^3 - a^3*b^2))))/b^2)*1i)/b^2 + (d^2*((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) - (d^2*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (32*d^2*tan(e/2 + (f*x)/2)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/(b^2*(a*b^4 + b^5 - a^2*b^3 - a^3*b^2))))/b^2)*1i)/b^2)/((64*(a^5*d^6 + 2*a*b^4*d^6 - a^4*b*d^6 - 2*b^5*c*d^5 + 2*a^2*b^3*d^6 - 3*a^3*b^2*d^6 + 4*b^5*c^2*d^4 + a*b^4*c^2*d^4 - 4*a*b^4*c^3*d^3 + 2*a^2*b^3*c*d^5 + 2*a^3*b^2*c*d^5 - a^4*b*c^2*d^4 + 3*a^2*b^3*c^2*d^4 + a^2*b^3*c^4*d^2 - a^3*b^2*c^2*d^4 - 6*a*b^4*c*d^5))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (d^2*((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) + (d^2*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) + (32*d^2*tan(e/2 + (f*x)/2)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/(b^2*(a*b^4 + b^5 - a^2*b^3 - a^3*b^2))))/b^2))/b^2 + (d^2*((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) - (d^2*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (32*d^2*tan(e/2 + (f*x)/2)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/(b^2*(a*b^4 + b^5 - a^2*b^3 - a^3*b^2))))/b^2))/b^2))*2i)/(b^2*f) - (2*tan(e/2 + (f*x)/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(f*(a + b)*(a*b - b^2)*(a + b - tan(e/2 + (f*x)/2)^2*(a - b))) - (atan(((((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) + ((a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/((a*b^4 + b^5 - a^2*b^3 - a^3*b^2)*(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2)))*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*1i)/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2) + (((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) - ((a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/((a*b^4 + b^5 - a^2*b^3 - a^3*b^2)*(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2)))*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*1i)/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))/((64*(a^5*d^6 + 2*a*b^4*d^6 - a^4*b*d^6 - 2*b^5*c*d^5 + 2*a^2*b^3*d^6 - 3*a^3*b^2*d^6 + 4*b^5*c^2*d^4 + a*b^4*c^2*d^4 - 4*a*b^4*c^3*d^3 + 2*a^2*b^3*c*d^5 + 2*a^3*b^2*c*d^5 - a^4*b*c^2*d^4 + 3*a^2*b^3*c^2*d^4 + a^2*b^3*c^4*d^2 - a^3*b^2*c^2*d^4 - 6*a*b^4*c*d^5))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) + ((a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/((a*b^4 + b^5 - a^2*b^3 - a^3*b^2)*(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2)))*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2) + (((32*tan(e/2 + (f*x)/2)*(2*a^6*d^4 + b^6*d^4 - 2*a*b^5*d^4 - 2*a^5*b*d^4 + a^2*b^4*c^4 + 3*a^2*b^4*d^4 + 4*a^3*b^3*d^4 - 5*a^4*b^2*d^4 + 4*b^6*c^2*d^2 + 4*a^3*b^3*c*d^3 + 4*a^2*b^4*c^2*d^2 - 2*a^4*b^2*c^2*d^2 - 8*a*b^5*c*d^3 - 4*a*b^5*c^3*d))/(a*b^4 + b^5 - a^2*b^3 - a^3*b^2) - ((a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*((32*(a*b^8*c^2 - b^9*d^2 + 2*a*b^8*d^2 - a^2*b^7*c^2 - a^3*b^6*c^2 + a^4*b^5*c^2 + a^2*b^7*d^2 - 3*a^3*b^6*d^2 + a^5*b^4*d^2 - 2*b^9*c*d + 2*a*b^8*c*d + 2*a^2*b^7*c*d - 2*a^3*b^6*c*d))/(a*b^5 + b^6 - a^2*b^4 - a^3*b^3) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*(2*a*b^9 - 2*a^2*b^8 - 4*a^3*b^7 + 4*a^4*b^6 + 2*a^5*b^5 - 2*a^6*b^4))/((a*b^4 + b^5 - a^2*b^3 - a^3*b^2)*(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2)))*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c))/(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2)))*(a*d - b*c)*((a + b)^3*(a - b)^3)^(1/2)*(a^2*d - 2*b^2*d + a*b*c)*2i)/(f*(b^8 - 3*a^2*b^6 + 3*a^4*b^4 - a^6*b^2))","B"
262,1,106,100,2.199148,"\text{Not used}","int((c + d/cos(e + f*x))/(cos(e + f*x)*(a + b/cos(e + f*x))^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{a-b}}{\sqrt{a+b}}\right)\,\left(a\,c-b\,d\right)}{f\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}+\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)}{f\,\left(a+b\right)\,\left(a-b\right)\,\left(\left(b-a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)}","Not used",1,"(2*atanh((tan(e/2 + (f*x)/2)*(a - b)^(1/2))/(a + b)^(1/2))*(a*c - b*d))/(f*(a + b)^(3/2)*(a - b)^(3/2)) + (2*tan(e/2 + (f*x)/2)*(a*d - b*c))/(f*(a + b)*(a - b)*(a + b - tan(e/2 + (f*x)/2)^2*(a - b)))","B"
263,1,20827,186,15.562536,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^2*(c + d/cos(e + f*x))),x)","\frac{d^2\,\mathrm{atan}\left(\frac{\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}+\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2\right)\,\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}\right)\,1{}\mathrm{i}}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}+\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}-\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2\right)\,\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}\right)\,1{}\mathrm{i}}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}}{\frac{64\,\left(-2\,a^4\,b\,c\,d^4+2\,a^4\,b\,d^5+3\,a^3\,b^2\,c^2\,d^3-5\,a^3\,b^2\,c\,d^4+2\,a^3\,b^2\,d^5-a^2\,b^3\,c^3\,d^2+2\,a^2\,b^3\,c^2\,d^3+2\,a^2\,b^3\,c\,d^4-3\,a^2\,b^3\,d^5-2\,a\,b^4\,c^2\,d^3+3\,a\,b^4\,c\,d^4-a\,b^4\,d^5-b^5\,c\,d^4+b^5\,d^5\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}+\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2\right)\,\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}-\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}-\frac{d^2\,\sqrt{c^2-d^2}\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}-\frac{32\,d^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{c^2-d^2}\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2\right)\,\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}\right)}{-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2}}\right)\,\sqrt{c^2-d^2}\,2{}\mathrm{i}}{f\,\left(-a^2\,c^2\,d^2+a^2\,d^4+2\,a\,b\,c^3\,d-2\,a\,b\,c\,d^3-b^2\,c^4+b^2\,c^2\,d^2\right)}+\frac{2\,b^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,\left(a+b\right)\,\left(\left(b-a\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a+b\right)\,\left(a^2\,d+b^2\,c-a\,b\,c-a\,b\,d\right)}+\frac{b\,\mathrm{atan}\left(\frac{\frac{b\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}+\frac{b\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{32\,b\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)\,\left(a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2\right)}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,1{}\mathrm{i}}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}+\frac{b\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}-\frac{b\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}-\frac{32\,b\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)\,\left(a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2\right)}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,1{}\mathrm{i}}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}}{\frac{64\,\left(-2\,a^4\,b\,c\,d^4+2\,a^4\,b\,d^5+3\,a^3\,b^2\,c^2\,d^3-5\,a^3\,b^2\,c\,d^4+2\,a^3\,b^2\,d^5-a^2\,b^3\,c^3\,d^2+2\,a^2\,b^3\,c^2\,d^3+2\,a^2\,b^3\,c\,d^4-3\,a^2\,b^3\,d^5-2\,a\,b^4\,c^2\,d^3+3\,a\,b^4\,c\,d^4-a\,b^4\,d^5-b^5\,c\,d^4+b^5\,d^5\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{b\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}+\frac{b\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}+\frac{32\,b\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)\,\left(a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2\right)}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}-\frac{b\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-a^6\,c\,d^4+a^6\,d^5+2\,a^5\,b\,c\,d^4-2\,a^5\,b\,d^5-4\,a^4\,b^2\,c^3\,d^2+12\,a^4\,b^2\,c^2\,d^3-11\,a^4\,b^2\,c\,d^4+3\,a^4\,b^2\,d^5+4\,a^3\,b^3\,c^4\,d-12\,a^3\,b^3\,c^3\,d^2+12\,a^3\,b^3\,c^2\,d^3-8\,a^3\,b^3\,c\,d^4+4\,a^3\,b^3\,d^5-a^2\,b^4\,c^5+3\,a^2\,b^4\,c^4\,d+a^2\,b^4\,c^3\,d^2-11\,a^2\,b^4\,c^2\,d^3+13\,a^2\,b^4\,c\,d^4-5\,a^2\,b^4\,d^5-2\,a\,b^5\,c^4\,d+6\,a\,b^5\,c^3\,d^2-6\,a\,b^5\,c^2\,d^3+4\,a\,b^5\,c\,d^4-2\,a\,b^5\,d^5-b^6\,c^3\,d^2+3\,b^6\,c^2\,d^3-4\,b^6\,c\,d^4+2\,b^6\,d^5\right)}{a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2}-\frac{b\,\left(\frac{32\,\left(-a^9\,c^2\,d^5+2\,a^9\,c\,d^6-a^9\,d^7+5\,a^8\,b\,c^3\,d^4-8\,a^8\,b\,c^2\,d^5+a^8\,b\,c\,d^6+2\,a^8\,b\,d^7-10\,a^7\,b^2\,c^4\,d^3+11\,a^7\,b^2\,c^3\,d^4+9\,a^7\,b^2\,c^2\,d^5-11\,a^7\,b^2\,c\,d^6+a^7\,b^2\,d^7+10\,a^6\,b^3\,c^5\,d^2-4\,a^6\,b^3\,c^4\,d^3-27\,a^6\,b^3\,c^3\,d^4+23\,a^6\,b^3\,c^2\,d^5+a^6\,b^3\,c\,d^6-3\,a^6\,b^3\,d^7-5\,a^5\,b^4\,c^6\,d-4\,a^5\,b^4\,c^5\,d^2+33\,a^5\,b^4\,c^4\,d^3-21\,a^5\,b^4\,c^3\,d^4-16\,a^5\,b^4\,c^2\,d^5+13\,a^5\,b^4\,c\,d^6+a^4\,b^5\,c^7+4\,a^4\,b^5\,c^6\,d-21\,a^4\,b^5\,c^5\,d^2+4\,a^4\,b^5\,c^4\,d^3+34\,a^4\,b^5\,c^3\,d^4-21\,a^4\,b^5\,c^2\,d^5-2\,a^4\,b^5\,c\,d^6+a^4\,b^5\,d^7-a^3\,b^6\,c^7+7\,a^3\,b^6\,c^6\,d+7\,a^3\,b^6\,c^5\,d^2-31\,a^3\,b^6\,c^4\,d^3+14\,a^3\,b^6\,c^3\,d^4+8\,a^3\,b^6\,c^2\,d^5-4\,a^3\,b^6\,c\,d^6-a^2\,b^7\,c^7-5\,a^2\,b^7\,c^6\,d+13\,a^2\,b^7\,c^5\,d^2-a^2\,b^7\,c^4\,d^3-12\,a^2\,b^7\,c^3\,d^4+6\,a^2\,b^7\,c^2\,d^5+a\,b^8\,c^7-2\,a\,b^8\,c^6\,d-3\,a\,b^8\,c^5\,d^2+8\,a\,b^8\,c^4\,d^3-4\,a\,b^8\,c^3\,d^4+b^9\,c^6\,d-2\,b^9\,c^5\,d^2+b^9\,c^4\,d^3\right)}{a^6\,d^3-3\,a^5\,b\,c\,d^2+a^5\,b\,d^3+3\,a^4\,b^2\,c^2\,d-3\,a^4\,b^2\,c\,d^2-a^4\,b^2\,d^3-a^3\,b^3\,c^3+3\,a^3\,b^3\,c^2\,d+3\,a^3\,b^3\,c\,d^2-a^3\,b^3\,d^3-a^2\,b^4\,c^3-3\,a^2\,b^4\,c^2\,d+3\,a^2\,b^4\,c\,d^2+a\,b^5\,c^3-3\,a\,b^5\,c^2\,d+b^6\,c^3}-\frac{32\,b\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,\left(2\,a^{10}\,c^3\,d^4-4\,a^{10}\,c^2\,d^5+2\,a^{10}\,c\,d^6-8\,a^9\,b\,c^4\,d^3+14\,a^9\,b\,c^3\,d^4-6\,a^9\,b\,c^2\,d^5+2\,a^9\,b\,c\,d^6-2\,a^9\,b\,d^7+12\,a^8\,b^2\,c^5\,d^2-16\,a^8\,b^2\,c^4\,d^3+2\,a^8\,b^2\,c^2\,d^5+2\,a^8\,b^2\,d^7-8\,a^7\,b^3\,c^6\,d+4\,a^7\,b^3\,c^5\,d^2+20\,a^7\,b^3\,c^4\,d^3-24\,a^7\,b^3\,c^3\,d^4+16\,a^7\,b^3\,c^2\,d^5-12\,a^7\,b^3\,c\,d^6+4\,a^7\,b^3\,d^7+2\,a^6\,b^4\,c^7+4\,a^6\,b^4\,c^6\,d-30\,a^6\,b^4\,c^5\,d^2+36\,a^6\,b^4\,c^4\,d^3-22\,a^6\,b^4\,c^3\,d^4+20\,a^6\,b^4\,c^2\,d^5-6\,a^6\,b^4\,c\,d^6-4\,a^6\,b^4\,d^7-2\,a^5\,b^5\,c^7+18\,a^5\,b^5\,c^6\,d-14\,a^5\,b^5\,c^5\,d^2-2\,a^5\,b^5\,c^4\,d^3-2\,a^5\,b^5\,c^3\,d^4-14\,a^5\,b^5\,c^2\,d^5+18\,a^5\,b^5\,c\,d^6-2\,a^5\,b^5\,d^7-4\,a^4\,b^6\,c^7-6\,a^4\,b^6\,c^6\,d+20\,a^4\,b^6\,c^5\,d^2-22\,a^4\,b^6\,c^4\,d^3+36\,a^4\,b^6\,c^3\,d^4-30\,a^4\,b^6\,c^2\,d^5+4\,a^4\,b^6\,c\,d^6+2\,a^4\,b^6\,d^7+4\,a^3\,b^7\,c^7-12\,a^3\,b^7\,c^6\,d+16\,a^3\,b^7\,c^5\,d^2-24\,a^3\,b^7\,c^4\,d^3+20\,a^3\,b^7\,c^3\,d^4+4\,a^3\,b^7\,c^2\,d^5-8\,a^3\,b^7\,c\,d^6+2\,a^2\,b^8\,c^7+2\,a^2\,b^8\,c^5\,d^2-16\,a^2\,b^8\,c^3\,d^4+12\,a^2\,b^8\,c^2\,d^5-2\,a\,b^9\,c^7+2\,a\,b^9\,c^6\,d-6\,a\,b^9\,c^5\,d^2+14\,a\,b^9\,c^4\,d^3-8\,a\,b^9\,c^3\,d^4+2\,b^{10}\,c^6\,d-4\,b^{10}\,c^5\,d^2+2\,b^{10}\,c^4\,d^3\right)}{\left(a^5\,d^2-2\,a^4\,b\,c\,d+a^4\,b\,d^2+a^3\,b^2\,c^2-2\,a^3\,b^2\,c\,d-a^3\,b^2\,d^2+a^2\,b^3\,c^2+2\,a^2\,b^3\,c\,d-a^2\,b^3\,d^2-a\,b^4\,c^2+2\,a\,b^4\,c\,d-b^5\,c^2\right)\,\left(a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2\right)}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)}{a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2}}\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(-2\,d\,a^2+c\,a\,b+d\,b^2\right)\,2{}\mathrm{i}}{f\,\left(a^8\,d^2-2\,a^7\,b\,c\,d+a^6\,b^2\,c^2-3\,a^6\,b^2\,d^2+6\,a^5\,b^3\,c\,d-3\,a^4\,b^4\,c^2+3\,a^4\,b^4\,d^2-6\,a^3\,b^5\,c\,d+3\,a^2\,b^6\,c^2-a^2\,b^6\,d^2+2\,a\,b^7\,c\,d-b^8\,c^2\right)}","Not used",1,"(d^2*atan(((d^2*(c^2 - d^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) + (d^2*(c^2 - d^2)^(1/2)*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (32*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)*(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d))))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d))*1i)/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d) + (d^2*(c^2 - d^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) - (d^2*(c^2 - d^2)^(1/2)*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) - (32*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)*(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d))))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d))*1i)/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d))/((64*(b^5*d^5 - a*b^4*d^5 + 2*a^4*b*d^5 - b^5*c*d^4 - 3*a^2*b^3*d^5 + 2*a^3*b^2*d^5 - 2*a*b^4*c^2*d^3 + 2*a^2*b^3*c*d^4 - 5*a^3*b^2*c*d^4 + 2*a^2*b^3*c^2*d^3 - a^2*b^3*c^3*d^2 + 3*a^3*b^2*c^2*d^3 + 3*a*b^4*c*d^4 - 2*a^4*b*c*d^4))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (d^2*(c^2 - d^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) + (d^2*(c^2 - d^2)^(1/2)*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (32*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)*(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d))))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d) - (d^2*(c^2 - d^2)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) - (d^2*(c^2 - d^2)^(1/2)*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) - (32*d^2*tan(e/2 + (f*x)/2)*(c^2 - d^2)^(1/2)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)*(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d))))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)))/(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)))*(c^2 - d^2)^(1/2)*2i)/(f*(a^2*d^4 - b^2*c^4 - a^2*c^2*d^2 + b^2*c^2*d^2 - 2*a*b*c*d^3 + 2*a*b*c^3*d)) + (2*b^2*tan(e/2 + (f*x)/2))/(f*(a + b)*(a + b - tan(e/2 + (f*x)/2)^2*(a - b))*(a^2*d + b^2*c - a*b*c - a*b*d)) + (b*atan(((b*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) + (b*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (32*b*tan(e/2 + (f*x)/2)*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d)*(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d)))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*1i)/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d) + (b*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) - (b*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) - (32*b*tan(e/2 + (f*x)/2)*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d)*(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d)))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*1i)/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))/((64*(b^5*d^5 - a*b^4*d^5 + 2*a^4*b*d^5 - b^5*c*d^4 - 3*a^2*b^3*d^5 + 2*a^3*b^2*d^5 - 2*a*b^4*c^2*d^3 + 2*a^2*b^3*c*d^4 - 5*a^3*b^2*c*d^4 + 2*a^2*b^3*c^2*d^3 - a^2*b^3*c^3*d^2 + 3*a^3*b^2*c^2*d^3 + 3*a*b^4*c*d^4 - 2*a^4*b*c*d^4))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (b*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) + (b*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) + (32*b*tan(e/2 + (f*x)/2)*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d)*(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d)))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d) - (b*((32*tan(e/2 + (f*x)/2)*(a^6*d^5 + 2*b^6*d^5 - 2*a*b^5*d^5 - 2*a^5*b*d^5 - a^6*c*d^4 - 4*b^6*c*d^4 - a^2*b^4*c^5 - 5*a^2*b^4*d^5 + 4*a^3*b^3*d^5 + 3*a^4*b^2*d^5 + 3*b^6*c^2*d^3 - b^6*c^3*d^2 - 6*a*b^5*c^2*d^3 + 6*a*b^5*c^3*d^2 + 13*a^2*b^4*c*d^4 + 3*a^2*b^4*c^4*d - 8*a^3*b^3*c*d^4 + 4*a^3*b^3*c^4*d - 11*a^4*b^2*c*d^4 - 11*a^2*b^4*c^2*d^3 + a^2*b^4*c^3*d^2 + 12*a^3*b^3*c^2*d^3 - 12*a^3*b^3*c^3*d^2 + 12*a^4*b^2*c^2*d^3 - 4*a^4*b^2*c^3*d^2 + 4*a*b^5*c*d^4 - 2*a*b^5*c^4*d + 2*a^5*b*c*d^4))/(a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d) - (b*((32*(a*b^8*c^7 - a^9*d^7 + 2*a^8*b*d^7 + 2*a^9*c*d^6 + b^9*c^6*d - a^2*b^7*c^7 - a^3*b^6*c^7 + a^4*b^5*c^7 + a^4*b^5*d^7 - 3*a^6*b^3*d^7 + a^7*b^2*d^7 - a^9*c^2*d^5 + b^9*c^4*d^3 - 2*b^9*c^5*d^2 - 4*a*b^8*c^3*d^4 + 8*a*b^8*c^4*d^3 - 3*a*b^8*c^5*d^2 - 5*a^2*b^7*c^6*d - 4*a^3*b^6*c*d^6 + 7*a^3*b^6*c^6*d - 2*a^4*b^5*c*d^6 + 4*a^4*b^5*c^6*d + 13*a^5*b^4*c*d^6 - 5*a^5*b^4*c^6*d + a^6*b^3*c*d^6 - 11*a^7*b^2*c*d^6 - 8*a^8*b*c^2*d^5 + 5*a^8*b*c^3*d^4 + 6*a^2*b^7*c^2*d^5 - 12*a^2*b^7*c^3*d^4 - a^2*b^7*c^4*d^3 + 13*a^2*b^7*c^5*d^2 + 8*a^3*b^6*c^2*d^5 + 14*a^3*b^6*c^3*d^4 - 31*a^3*b^6*c^4*d^3 + 7*a^3*b^6*c^5*d^2 - 21*a^4*b^5*c^2*d^5 + 34*a^4*b^5*c^3*d^4 + 4*a^4*b^5*c^4*d^3 - 21*a^4*b^5*c^5*d^2 - 16*a^5*b^4*c^2*d^5 - 21*a^5*b^4*c^3*d^4 + 33*a^5*b^4*c^4*d^3 - 4*a^5*b^4*c^5*d^2 + 23*a^6*b^3*c^2*d^5 - 27*a^6*b^3*c^3*d^4 - 4*a^6*b^3*c^4*d^3 + 10*a^6*b^3*c^5*d^2 + 9*a^7*b^2*c^2*d^5 + 11*a^7*b^2*c^3*d^4 - 10*a^7*b^2*c^4*d^3 - 2*a*b^8*c^6*d + a^8*b*c*d^6))/(a^6*d^3 + b^6*c^3 + a*b^5*c^3 + a^5*b*d^3 - a^2*b^4*c^3 - a^3*b^3*c^3 - a^3*b^3*d^3 - a^4*b^2*d^3 + 3*a^2*b^4*c*d^2 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 + 3*a^3*b^3*c^2*d - 3*a^4*b^2*c*d^2 + 3*a^4*b^2*c^2*d - 3*a*b^5*c^2*d - 3*a^5*b*c*d^2) - (32*b*tan(e/2 + (f*x)/2)*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*(2*a^10*c*d^6 - 2*a^9*b*d^7 - 2*a*b^9*c^7 + 2*b^10*c^6*d + 2*a^2*b^8*c^7 + 4*a^3*b^7*c^7 - 4*a^4*b^6*c^7 - 2*a^5*b^5*c^7 + 2*a^6*b^4*c^7 + 2*a^4*b^6*d^7 - 2*a^5*b^5*d^7 - 4*a^6*b^4*d^7 + 4*a^7*b^3*d^7 + 2*a^8*b^2*d^7 - 4*a^10*c^2*d^5 + 2*a^10*c^3*d^4 + 2*b^10*c^4*d^3 - 4*b^10*c^5*d^2 - 8*a*b^9*c^3*d^4 + 14*a*b^9*c^4*d^3 - 6*a*b^9*c^5*d^2 - 8*a^3*b^7*c*d^6 - 12*a^3*b^7*c^6*d + 4*a^4*b^6*c*d^6 - 6*a^4*b^6*c^6*d + 18*a^5*b^5*c*d^6 + 18*a^5*b^5*c^6*d - 6*a^6*b^4*c*d^6 + 4*a^6*b^4*c^6*d - 12*a^7*b^3*c*d^6 - 8*a^7*b^3*c^6*d - 6*a^9*b*c^2*d^5 + 14*a^9*b*c^3*d^4 - 8*a^9*b*c^4*d^3 + 12*a^2*b^8*c^2*d^5 - 16*a^2*b^8*c^3*d^4 + 2*a^2*b^8*c^5*d^2 + 4*a^3*b^7*c^2*d^5 + 20*a^3*b^7*c^3*d^4 - 24*a^3*b^7*c^4*d^3 + 16*a^3*b^7*c^5*d^2 - 30*a^4*b^6*c^2*d^5 + 36*a^4*b^6*c^3*d^4 - 22*a^4*b^6*c^4*d^3 + 20*a^4*b^6*c^5*d^2 - 14*a^5*b^5*c^2*d^5 - 2*a^5*b^5*c^3*d^4 - 2*a^5*b^5*c^4*d^3 - 14*a^5*b^5*c^5*d^2 + 20*a^6*b^4*c^2*d^5 - 22*a^6*b^4*c^3*d^4 + 36*a^6*b^4*c^4*d^3 - 30*a^6*b^4*c^5*d^2 + 16*a^7*b^3*c^2*d^5 - 24*a^7*b^3*c^3*d^4 + 20*a^7*b^3*c^4*d^3 + 4*a^7*b^3*c^5*d^2 + 2*a^8*b^2*c^2*d^5 - 16*a^8*b^2*c^4*d^3 + 12*a^8*b^2*c^5*d^2 + 2*a*b^9*c^6*d + 2*a^9*b*c*d^6))/((a^5*d^2 - b^5*c^2 - a*b^4*c^2 + a^4*b*d^2 + a^2*b^3*c^2 + a^3*b^2*c^2 - a^2*b^3*d^2 - a^3*b^2*d^2 + 2*a*b^4*c*d - 2*a^4*b*c*d + 2*a^2*b^3*c*d - 2*a^3*b^2*c*d)*(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d)))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c))/(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d)))*((a + b)^3*(a - b)^3)^(1/2)*(b^2*d - 2*a^2*d + a*b*c)*2i)/(f*(a^8*d^2 - b^8*c^2 + 3*a^2*b^6*c^2 - 3*a^4*b^4*c^2 + a^6*b^2*c^2 - a^2*b^6*d^2 + 3*a^4*b^4*d^2 - 3*a^6*b^2*d^2 + 2*a*b^7*c*d - 2*a^7*b*c*d - 6*a^3*b^5*c*d + 6*a^5*b^3*c*d))","B"
264,0,-1,213,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))), x)","F"
265,0,-1,196,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))^(1/2)), x)","F"
266,0,-1,192,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
267,0,-1,110,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(3/cos(e + f*x) + 2)^(1/2)*(5/cos(e + f*x) - 4)^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{\frac{3}{\cos\left(e+f\,x\right)}+2}\,\sqrt{\frac{5}{\cos\left(e+f\,x\right)}-4}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(3/cos(e + f*x) + 2)^(1/2)*(5/cos(e + f*x) - 4)^(1/2)), x)","F"
268,0,-1,125,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(3/cos(e + f*x) + 2)^(1/2)*(4 - 5/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{\frac{3}{\cos\left(e+f\,x\right)}+2}\,\sqrt{4-\frac{5}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(3/cos(e + f*x) + 2)^(1/2)*(4 - 5/cos(e + f*x))^(1/2)), x)","F"
269,0,-1,396,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
270,0,-1,170,0.000000,"\text{Not used}","int(((c + d/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(a + b/cos(e + f*x)),x)","\int \frac{\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{a+\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((c + d/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(a + b/cos(e + f*x)), x)","F"
271,0,-1,83,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))*(c + d/cos(e + f*x))^(1/2)), x)","F"
272,0,-1,168,0.000000,"\text{Not used}","int(((c + d/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(1/2))/(a + b*cos(e + f*x)),x)","\int \frac{\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{g}{\cos\left(e+f\,x\right)}}}{a+b\,\cos\left(e+f\,x\right)} \,d x","Not used",1,"int(((c + d/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(1/2))/(a + b*cos(e + f*x)), x)","F"
273,0,-1,95,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + c/cos(e + f*x))),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\left(c+\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + c/cos(e + f*x))), x)","F"
274,0,-1,295,0.000000,"\text{Not used}","int(((a + b/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + c/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{c+\frac{c}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((a + b/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + c/cos(e + f*x)), x)","F"
275,0,-1,209,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))), x)","F"
276,0,-1,214,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))), x)","F"
277,0,-1,229,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))), x)","F"
278,0,-1,312,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(5/2)/((a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(5/2)/((a + b/cos(e + f*x))^(1/2)*(c + c/cos(e + f*x))), x)","F"
279,0,-1,213,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{\cos\left(e+f\,x\right)\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(cos(e + f*x)*(c + d/cos(e + f*x))), x)","F"
280,0,-1,170,0.000000,"\text{Not used}","int(((a + b/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + d/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{c+\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(((a + b/cos(e + f*x))^(1/2)*(g/cos(e + f*x))^(3/2))/(c + d/cos(e + f*x)), x)","F"
281,0,-1,102,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
282,0,-1,209,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
283,0,-1,83,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(3/2)/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
284,0,-1,166,0.000000,"\text{Not used}","int((g/cos(e + f*x))^(5/2)/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{{\left(\frac{g}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int((g/cos(e + f*x))^(5/2)/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
285,1,47,67,1.934044,"\text{Not used}","int(tan(e + f*x)^4/(cos(e + f*x)*(c - c/cos(e + f*x))^7),x)","\frac{63\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-90\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+35}{1260\,c^7\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(63*tan(e/2 + (f*x)/2)^4 - 90*tan(e/2 + (f*x)/2)^2 + 35)/(1260*c^7*f*tan(e/2 + (f*x)/2)^9)","B"
286,1,60,89,2.429341,"\text{Not used}","int(tan(e + f*x)^4/(cos(e + f*x)*(c - c/cos(e + f*x))^8),x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{5}-\frac{3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{7}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{3}-\frac{1}{11}}{8\,c^8\,f\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}","Not used",1,"(tan(e/2 + (f*x)/2)^2/3 - (3*tan(e/2 + (f*x)/2)^4)/7 + tan(e/2 + (f*x)/2)^6/5 - 1/11)/(8*c^8*f*tan(e/2 + (f*x)/2)^11)","B"