1,1,228,196,2.534217,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^5,x)","a^2\,c^5\,x-\frac{-\frac{35\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{8}+\frac{209\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{8}-\frac{291\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{20}+\frac{61\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20}+\frac{19\,a^2\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{24}-\frac{3\,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)}^{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{19\,a^2\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}","Not used",1,"a^2*c^5*x - ((19*a^2*c^5*tan(e/2 + (f*x)/2)^3)/24 + (61*a^2*c^5*tan(e/2 + (f*x)/2)^5)/20 - (291*a^2*c^5*tan(e/2 + (f*x)/2)^7)/20 + (209*a^2*c^5*tan(e/2 + (f*x)/2)^9)/8 - (35*a^2*c^5*tan(e/2 + (f*x)/2)^11)/8 - (3*a^2*c^5*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)) - (19*a^2*c^5*atanh(tan(e/2 + (f*x)/2)))/(8*f)","B"
2,1,195,140,2.299821,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^4,x)","a^2\,c^4\,x+\frac{\frac{7\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{2}-\frac{53\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{3}+\frac{164\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{15}-\frac{11\,a^2\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+\frac{a^2\,c^4\,\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{3\,a^2\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{2\,f}","Not used",1,"a^2*c^4*x + ((164*a^2*c^4*tan(e/2 + (f*x)/2)^5)/15 - (11*a^2*c^4*tan(e/2 + (f*x)/2)^3)/3 - (53*a^2*c^4*tan(e/2 + (f*x)/2)^7)/3 + (7*a^2*c^4*tan(e/2 + (f*x)/2)^9)/2 + (a^2*c^4*tan(e/2 + (f*x)/2))/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)) - (3*a^2*c^4*atanh(tan(e/2 + (f*x)/2)))/(2*f)","B"
3,1,163,97,2.188631,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^3,x)","\frac{\frac{11\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}-\frac{137\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{12}+\frac{71\,a^2\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12}-\frac{5\,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)}^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)}+a^2\,c^3\,x-\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,"((71*a^2*c^3*tan(e/2 + (f*x)/2)^3)/12 - (137*a^2*c^3*tan(e/2 + (f*x)/2)^5)/12 + (11*a^2*c^3*tan(e/2 + (f*x)/2)^7)/4 - (5*a^2*c^3*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)) + a^2*c^3*x - (3*a^2*c^3*atanh(tan(e/2 + (f*x)/2)))/(4*f)","B"
4,1,84,47,3.709423,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^2,x)","a^2\,c^2\,x+\frac{2\,a^2\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5-\frac{20\,a^2\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+2\,a^2\,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)}^2-1\right)}^3}","Not used",1,"a^2*c^2*x + (2*a^2*c^2*tan(e/2 + (f*x)/2)^5 - (20*a^2*c^2*tan(e/2 + (f*x)/2)^3)/3 + 2*a^2*c^2*tan(e/2 + (f*x)/2))/(f*(tan(e/2 + (f*x)/2)^2 - 1)^3)","B"
5,1,91,55,1.512897,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x)),x)","a^2\,c\,x-\frac{3\,a^2\,c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-a^2\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{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^2\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}","Not used",1,"a^2*c*x - (3*a^2*c*tan(e/2 + (f*x)/2) - a^2*c*tan(e/2 + (f*x)/2)^3)/(f*(tan(e/2 + (f*x)/2)^4 - 2*tan(e/2 + (f*x)/2)^2 + 1)) + (a^2*c*atanh(tan(e/2 + (f*x)/2)))/f","B"
6,1,46,56,1.483947,"\text{Not used}","int((a + a/cos(e + f*x))^2/(c - c/cos(e + f*x)),x)","\frac{a^2\,x}{c}-\frac{a^2\,\left(2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-\frac{4}{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{c\,f}","Not used",1,"(a^2*x)/c - (a^2*(2*atanh(tan(e/2 + (f*x)/2)) - 4/tan(e/2 + (f*x)/2)))/(c*f)","B"
7,1,40,71,1.388604,"\text{Not used}","int((a + a/cos(e + f*x))^2/(c - c/cos(e + f*x))^2,x)","\frac{a^2\,\left(-2\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3+6\,\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)+3\,f\,x\right)}{3\,c^2\,f}","Not used",1,"(a^2*(6*cot(e/2 + (f*x)/2) - 2*cot(e/2 + (f*x)/2)^3 + 3*f*x))/(3*c^2*f)","B"
8,1,96,102,1.449706,"\text{Not used}","int((a + a/cos(e + f*x))^2/(c - c/cos(e + f*x))^3,x)","\frac{a^2\,x}{c^3}+\frac{\frac{a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5}-\frac{2\,a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{3}+2\,a^2\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{c^3\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(a^2*x)/c^3 + ((a^2*cos(e/2 + (f*x)/2)^5)/5 + 2*a^2*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^4 - (2*a^2*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^2)/3)/(c^3*f*sin(e/2 + (f*x)/2)^5)","B"
9,1,124,133,1.496352,"\text{Not used}","int((a + a/cos(e + f*x))^2/(c - c/cos(e + f*x))^4,x)","\frac{a^2\,x}{c^4}-\frac{\frac{a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{14}-\frac{3\,a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{10}+\frac{2\,a^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{3}-2\,a^2\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{c^4\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"(a^2*x)/c^4 - ((a^2*cos(e/2 + (f*x)/2)^7)/14 - 2*a^2*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^6 + (2*a^2*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^4)/3 - (3*a^2*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^2)/10)/(c^4*f*sin(e/2 + (f*x)/2)^7)","B"
10,1,146,164,1.535859,"\text{Not used}","int((a + a/cos(e + f*x))^2/(c - c/cos(e + f*x))^5,x)","\frac{a^2\,\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{36}-\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{7}+\frac{7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{20}-\frac{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{3}+2\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+\left(e+f\,x\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9\right)}{c^5\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(a^2*(cos(e/2 + (f*x)/2)^9/36 + 2*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^8 + sin(e/2 + (f*x)/2)^9*(e + f*x) - (2*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^6)/3 + (7*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^4)/20 - (cos(e/2 + (f*x)/2)^7*sin(e/2 + (f*x)/2)^2)/7))/(c^5*f*sin(e/2 + (f*x)/2)^9)","B"
11,1,259,188,2.619088,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^5,x)","\frac{\frac{13\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{13}}{4}-23\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}+\frac{1413\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{20}-\frac{1768\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{35}+\frac{1409\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{60}-\frac{19\,a^3\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+\frac{3\,a^3\,c^5\,\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)}^{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)}+a^3\,c^5\,x-\frac{5\,a^3\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}","Not used",1,"((1409*a^3*c^5*tan(e/2 + (f*x)/2)^5)/60 - (19*a^3*c^5*tan(e/2 + (f*x)/2)^3)/3 - (1768*a^3*c^5*tan(e/2 + (f*x)/2)^7)/35 + (1413*a^3*c^5*tan(e/2 + (f*x)/2)^9)/20 - 23*a^3*c^5*tan(e/2 + (f*x)/2)^11 + (13*a^3*c^5*tan(e/2 + (f*x)/2)^13)/4 + (3*a^3*c^5*tan(e/2 + (f*x)/2))/4)/(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)) + a^3*c^5*x - (5*a^3*c^5*atanh(tan(e/2 + (f*x)/2)))/(4*f)","B"
12,1,227,132,2.592801,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^4,x)","a^3\,c^4\,x+\frac{\frac{21\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}}{8}-\frac{389\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{24}+\frac{853\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{20}-\frac{523\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{20}+\frac{73\,a^3\,c^4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{8}-\frac{11\,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)}^{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{5\,a^3\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{8\,f}","Not used",1,"a^3*c^4*x + ((73*a^3*c^4*tan(e/2 + (f*x)/2)^3)/8 - (523*a^3*c^4*tan(e/2 + (f*x)/2)^5)/20 + (853*a^3*c^4*tan(e/2 + (f*x)/2)^7)/20 - (389*a^3*c^4*tan(e/2 + (f*x)/2)^9)/24 + (21*a^3*c^4*tan(e/2 + (f*x)/2)^11)/8 - (11*a^3*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)) - (5*a^3*c^4*atanh(tan(e/2 + (f*x)/2)))/(8*f)","B"
13,1,122,68,4.958810,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^3,x)","a^3\,c^3\,x+\frac{2\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9-\frac{32\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{3}+\frac{356\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{15}-\frac{32\,a^3\,c^3\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}+2\,a^3\,c^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{f\,{\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1\right)}^5}","Not used",1,"a^3*c^3*x + ((356*a^3*c^3*tan(e/2 + (f*x)/2)^5)/15 - (32*a^3*c^3*tan(e/2 + (f*x)/2)^3)/3 - (32*a^3*c^3*tan(e/2 + (f*x)/2)^7)/3 + 2*a^3*c^3*tan(e/2 + (f*x)/2)^9 + 2*a^3*c^3*tan(e/2 + (f*x)/2))/(f*(tan(e/2 + (f*x)/2)^2 - 1)^5)","B"
14,1,163,97,2.132729,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^2,x)","\frac{\frac{5\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{4}-\frac{71\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{12}+\frac{137\,a^3\,c^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{12}-\frac{11\,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)}^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)}+a^3\,c^2\,x+\frac{3\,a^3\,c^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{4\,f}","Not used",1,"((137*a^3*c^2*tan(e/2 + (f*x)/2)^3)/12 - (71*a^3*c^2*tan(e/2 + (f*x)/2)^5)/12 + (5*a^3*c^2*tan(e/2 + (f*x)/2)^7)/4 - (11*a^3*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)) + a^3*c^2*x + (3*a^3*c^2*atanh(tan(e/2 + (f*x)/2)))/(4*f)","B"
15,1,104,77,1.551517,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x)),x)","\frac{4\,a^3\,c\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-\frac{4\,a^3\,c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{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)}+a^3\,c\,x+\frac{2\,a^3\,c\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{f}","Not used",1,"(4*a^3*c*tan(e/2 + (f*x)/2) - (4*a^3*c*tan(e/2 + (f*x)/2)^3)/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)) + a^3*c*x + (2*a^3*c*atanh(tan(e/2 + (f*x)/2)))/f","B"
16,1,85,78,1.478543,"\text{Not used}","int((a + a/cos(e + f*x))^3/(c - c/cos(e + f*x)),x)","\frac{a^3\,x}{c}-\frac{10\,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)-c\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\right)}-\frac{8\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{c\,f}","Not used",1,"(a^3*x)/c - (10*a^3*tan(e/2 + (f*x)/2)^2 - 8*a^3)/(f*(c*tan(e/2 + (f*x)/2) - c*tan(e/2 + (f*x)/2)^3)) - (8*a^3*atanh(tan(e/2 + (f*x)/2)))/(c*f)","B"
17,1,45,88,1.437316,"\text{Not used}","int((a + a/cos(e + f*x))^3/(c - c/cos(e + f*x))^2,x)","\frac{a^3\,x}{c^2}+\frac{a^3\,\left(2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-\frac{4\,{\mathrm{cot}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}\right)}{c^2\,f}","Not used",1,"(a^3*x)/c^2 + (a^3*(2*atanh(tan(e/2 + (f*x)/2)) - (4*cot(e/2 + (f*x)/2)^3)/3))/(c^2*f)","B"
18,1,96,102,1.378438,"\text{Not used}","int((a + a/cos(e + f*x))^3/(c - c/cos(e + f*x))^3,x)","\frac{a^3\,x}{c^3}+\frac{\frac{2\,a^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5}-\frac{2\,a^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{3}+2\,a^3\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{c^3\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(a^3*x)/c^3 + ((2*a^3*cos(e/2 + (f*x)/2)^5)/5 + 2*a^3*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^4 - (2*a^3*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^2)/3)/(c^3*f*sin(e/2 + (f*x)/2)^5)","B"
19,1,122,133,1.438335,"\text{Not used}","int((a + a/cos(e + f*x))^3/(c - c/cos(e + f*x))^4,x)","\frac{a^3\,\left(-\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}{7}+\frac{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{5}-\frac{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{3}+2\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+\left(e+f\,x\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\right)}{c^4\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"(a^3*(2*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^6 - cos(e/2 + (f*x)/2)^7/7 + sin(e/2 + (f*x)/2)^7*(e + f*x) - (2*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^4)/3 + (2*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^2)/5))/(c^4*f*sin(e/2 + (f*x)/2)^7)","B"
20,1,146,164,1.461086,"\text{Not used}","int((a + a/cos(e + f*x))^3/(c - c/cos(e + f*x))^5,x)","\frac{a^3\,\left(\frac{{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}{18}-\frac{3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{14}+\frac{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{5}-\frac{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{3}+2\,\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+\left(e+f\,x\right)\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9\right)}{c^5\,f\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(a^3*(cos(e/2 + (f*x)/2)^9/18 + 2*cos(e/2 + (f*x)/2)*sin(e/2 + (f*x)/2)^8 + sin(e/2 + (f*x)/2)^9*(e + f*x) - (2*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^6)/3 + (2*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^4)/5 - (3*cos(e/2 + (f*x)/2)^7*sin(e/2 + (f*x)/2)^2)/14))/(c^5*f*sin(e/2 + (f*x)/2)^9)","B"
21,1,145,136,1.495105,"\text{Not used}","int((c - c/cos(e + f*x))^5/(a + a/cos(e + f*x))^2,x)","\frac{c^5\,x}{a^2}-\frac{15\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3-13\,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)}^4-2\,a^2\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+a^2\right)}+\frac{32\,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{47\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}","Not used",1,"(c^5*x)/a^2 - (15*c^5*tan(e/2 + (f*x)/2)^3 - 13*c^5*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)) + (32*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) - (47*c^5*atanh(tan(e/2 + (f*x)/2)))/(a^2*f)","B"
22,1,112,102,1.471079,"\text{Not used}","int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^2,x)","\frac{c^4\,x}{a^2}+\frac{8\,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{12\,c^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^2\,f}-\frac{2\,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)}^2-a^2\right)}","Not used",1,"(c^4*x)/a^2 + (8*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) - (12*c^4*atanh(tan(e/2 + (f*x)/2)))/(a^2*f) - (2*c^4*tan(e/2 + (f*x)/2))/(f*(a^2*tan(e/2 + (f*x)/2)^2 - a^2))","B"
23,1,46,85,1.410170,"\text{Not used}","int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^2,x)","\frac{c^3\,x}{a^2}-\frac{c^3\,\left(2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{3}\right)}{a^2\,f}","Not used",1,"(c^3*x)/a^2 - (c^3*(2*atanh(tan(e/2 + (f*x)/2)) - (4*tan(e/2 + (f*x)/2)^3)/3))/(a^2*f)","B"
24,1,38,67,1.375311,"\text{Not used}","int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^2,x)","\frac{2\,c^2\,\left({\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3-3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)+\frac{3\,f\,x}{2}\right)}{3\,a^2\,f}","Not used",1,"(2*c^2*(tan(e/2 + (f*x)/2)^3 - 3*tan(e/2 + (f*x)/2) + (3*f*x)/2))/(3*a^2*f)","B"
25,1,41,61,1.335675,"\text{Not used}","int((c - c/cos(e + f*x))/(a + a/cos(e + f*x))^2,x)","\frac{c\,x}{a^2}-\frac{c\,\left(6\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\right)}{3\,a^2\,f}","Not used",1,"(c*x)/a^2 - (c*(6*tan(e/2 + (f*x)/2) - tan(e/2 + (f*x)/2)^3))/(3*a^2*f)","B"
26,1,69,69,1.422098,"\text{Not used}","int(1/((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))),x)","\frac{x}{a^2\,c}+\frac{\frac{4\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{3}-\frac{7\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{6}+\frac{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,"x/(a^2*c) + ((4*cos(e/2 + (f*x)/2)^4)/3 - (7*cos(e/2 + (f*x)/2)^2)/6 + 1/12)/(a^2*c*f*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2))","B"
27,1,58,46,1.468214,"\text{Not used}","int(1/((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^2),x)","-\frac{\cos\left(3\,e+3\,f\,x\right)+\frac{3\,\sin\left(3\,e+3\,f\,x\right)\,\left(e+f\,x\right)}{4}-\frac{9\,\sin\left(e+f\,x\right)\,\left(e+f\,x\right)}{4}}{3\,a^2\,c^2\,f\,{\sin\left(e+f\,x\right)}^3}","Not used",1,"-(cos(3*e + 3*f*x) + (3*sin(3*e + 3*f*x)*(e + f*x))/4 - (9*sin(e + f*x)*(e + f*x))/4)/(3*a^2*c^2*f*sin(e + f*x)^3)","B"
28,1,161,98,1.543985,"\text{Not used}","int(1/((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^3),x)","\frac{3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-90\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+240\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-30\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+240\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(e+f\,x\right)}{240\,a^2\,c^3\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(3*cos(e/2 + (f*x)/2)^8 + 5*sin(e/2 + (f*x)/2)^8 - 90*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^6 + 240*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^4 - 30*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^2 + 240*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^5*(e + f*x))/(240*a^2*c^3*f*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^5)","B"
29,1,185,166,1.635270,"\text{Not used}","int(1/((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^4),x)","\frac{35\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}-15\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}-735\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+4410\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6-770\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4+147\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+3360\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(e+f\,x\right)}{3360\,a^2\,c^4\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"(35*sin(e/2 + (f*x)/2)^10 - 15*cos(e/2 + (f*x)/2)^10 - 735*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^8 + 4410*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^6 - 770*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^4 + 147*cos(e/2 + (f*x)/2)^8*sin(e/2 + (f*x)/2)^2 + 3360*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^7*(e + f*x))/(3360*a^2*c^4*f*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^7)","B"
30,1,209,210,1.778712,"\text{Not used}","int(1/((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^5),x)","\frac{35\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}+105\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-2520\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+31185\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-6720\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+1827\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-360\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+20160\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9\,\left(e+f\,x\right)}{20160\,a^2\,c^5\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9}","Not used",1,"(35*cos(e/2 + (f*x)/2)^12 + 105*sin(e/2 + (f*x)/2)^12 - 2520*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^10 + 31185*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^8 - 6720*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^6 + 1827*cos(e/2 + (f*x)/2)^8*sin(e/2 + (f*x)/2)^4 - 360*cos(e/2 + (f*x)/2)^10*sin(e/2 + (f*x)/2)^2 + 20160*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^9*(e + f*x))/(20160*a^2*c^5*f*cos(e/2 + (f*x)/2)^3*sin(e/2 + (f*x)/2)^9)","B"
31,1,134,162,1.490219,"\text{Not used}","int((c - c/cos(e + f*x))^5/(a + a/cos(e + f*x))^3,x)","\frac{c^5\,x}{a^3}-\frac{16\,c^5\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{a^3\,f}-\frac{8\,c^5\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}{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{16\,c^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)}{a^3\,f}+\frac{2\,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)}^2-a^3\right)}","Not used",1,"(c^5*x)/a^3 - (16*c^5*tan(e/2 + (f*x)/2))/(a^3*f) - (8*c^5*tan(e/2 + (f*x)/2)^3)/(3*a^3*f) - (8*c^5*tan(e/2 + (f*x)/2)^5)/(5*a^3*f) + (16*c^5*atanh(tan(e/2 + (f*x)/2)))/(a^3*f) + (2*c^5*tan(e/2 + (f*x)/2))/(f*(a^3*tan(e/2 + (f*x)/2)^2 - a^3))","B"
32,1,50,148,1.421040,"\text{Not used}","int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^3,x)","\frac{c^4\,\left(2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\right)-4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)-\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}{5}+f\,x\right)}{a^3\,f}","Not used",1,"(c^4*(2*atanh(tan(e/2 + (f*x)/2)) - 4*tan(e/2 + (f*x)/2) - (4*tan(e/2 + (f*x)/2)^5)/5 + f*x))/(a^3*f)","B"
33,1,93,96,1.404006,"\text{Not used}","int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^3,x)","\frac{c^3\,x}{a^3}-\frac{\frac{46\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{15}-\frac{22\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{15}+\frac{2\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^3}{5}}{a^3\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(c^3*x)/a^3 - ((2*c^3*sin(e/2 + (f*x)/2))/5 - (22*c^3*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2))/15 + (46*c^3*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2))/15)/(a^3*f*cos(e/2 + (f*x)/2)^5)","B"
34,1,93,96,1.395938,"\text{Not used}","int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^3,x)","\frac{c^2\,x}{a^3}-\frac{\frac{43\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{15}-\frac{16\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{15}+\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,c^2}{5}}{a^3\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(c^2*x)/a^3 - ((c^2*sin(e/2 + (f*x)/2))/5 - (16*c^2*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2))/15 + (43*c^2*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2))/15)/(a^3*f*cos(e/2 + (f*x)/2)^5)","B"
35,1,85,88,1.376707,"\text{Not used}","int((c - c/cos(e + f*x))/(a + a/cos(e + f*x))^3,x)","\frac{c\,x}{a^3}-\frac{\frac{13\,c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{5}-\frac{7\,c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{10}+\frac{c\,\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{10}}{a^3\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5}","Not used",1,"(c*x)/a^3 - ((c*sin(e/2 + (f*x)/2))/10 - (7*c*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2))/10 + (13*c*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2))/5)/(a^3*f*cos(e/2 + (f*x)/2)^5)","B"
36,1,82,126,1.425175,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))),x)","\frac{x}{a^3\,c}+\frac{\frac{26\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6}{15}-\frac{28\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4}{15}+\frac{17\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2}{60}-\frac{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,"x/(a^3*c) + ((17*cos(e/2 + (f*x)/2)^2)/60 - (28*cos(e/2 + (f*x)/2)^4)/15 + (26*cos(e/2 + (f*x)/2)^6)/15 - 1/40)/(a^3*c*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2))","B"
37,1,161,100,1.503894,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^2),x)","-\frac{5\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8+3\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-30\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+240\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-90\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-240\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(e+f\,x\right)}{240\,a^3\,c^2\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3}","Not used",1,"-(5*cos(e/2 + (f*x)/2)^8 + 3*sin(e/2 + (f*x)/2)^8 - 30*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^6 + 240*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^4 - 90*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^2 - 240*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^3*(e + f*x))/(240*a^3*c^2*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^3)","B"
38,1,94,67,1.568680,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^3),x)","\frac{\frac{5\,\cos\left(e+f\,x\right)}{24}-\frac{5\,\cos\left(3\,e+3\,f\,x\right)}{48}+\frac{23\,\cos\left(5\,e+5\,f\,x\right)}{240}-\frac{5\,\sin\left(3\,e+3\,f\,x\right)\,\left(e+f\,x\right)}{16}+\frac{\sin\left(5\,e+5\,f\,x\right)\,\left(e+f\,x\right)}{16}+\frac{5\,\sin\left(e+f\,x\right)\,\left(e+f\,x\right)}{8}}{a^3\,c^3\,f\,{\sin\left(e+f\,x\right)}^5}","Not used",1,"((5*cos(e + f*x))/24 - (5*cos(3*e + 3*f*x))/48 + (23*cos(5*e + 5*f*x))/240 - (5*sin(3*e + 3*f*x)*(e + f*x))/16 + (sin(5*e + 5*f*x)*(e + f*x))/16 + (5*sin(e + f*x)*(e + f*x))/8)/(a^3*c^3*f*sin(e + f*x)^5)","B"
39,1,209,129,1.852002,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^4),x)","-\frac{15\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}+21\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-280\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+3045\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-6720\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+1015\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-168\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-6720\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(e+f\,x\right)}{6720\,a^3\,c^4\,f\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7}","Not used",1,"-(15*cos(e/2 + (f*x)/2)^12 + 21*sin(e/2 + (f*x)/2)^12 - 280*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^10 + 3045*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^8 - 6720*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^6 + 1015*cos(e/2 + (f*x)/2)^8*sin(e/2 + (f*x)/2)^4 - 168*cos(e/2 + (f*x)/2)^10*sin(e/2 + (f*x)/2)^2 - 6720*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^7*(e + f*x))/(6720*a^3*c^4*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^7)","B"
40,1,233,210,2.040818,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^5),x)","\frac{35\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}-63\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}+945\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-11655\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+51345\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-9765\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+2331\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-405\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+40320\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^9\,\left(e+f\,x\right)}{40320\,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,"(35*cos(e/2 + (f*x)/2)^14 - 63*sin(e/2 + (f*x)/2)^14 + 945*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^12 - 11655*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^10 + 51345*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^8 - 9765*cos(e/2 + (f*x)/2)^8*sin(e/2 + (f*x)/2)^6 + 2331*cos(e/2 + (f*x)/2)^10*sin(e/2 + (f*x)/2)^4 - 405*cos(e/2 + (f*x)/2)^12*sin(e/2 + (f*x)/2)^2 + 40320*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^9*(e + f*x))/(40320*a^3*c^5*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^9)","B"
41,1,257,252,2.327649,"\text{Not used}","int(1/((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^6),x)","-\frac{315\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{16}+693\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{16}-11550\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}+159390\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}-1323630\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}+295680\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^8-90090\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{10}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^6+22770\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{12}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^4-3850\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{14}\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-887040\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^{11}\,\left(e+f\,x\right)}{887040\,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,"-(315*cos(e/2 + (f*x)/2)^16 + 693*sin(e/2 + (f*x)/2)^16 - 11550*cos(e/2 + (f*x)/2)^2*sin(e/2 + (f*x)/2)^14 + 159390*cos(e/2 + (f*x)/2)^4*sin(e/2 + (f*x)/2)^12 - 1323630*cos(e/2 + (f*x)/2)^6*sin(e/2 + (f*x)/2)^10 + 295680*cos(e/2 + (f*x)/2)^8*sin(e/2 + (f*x)/2)^8 - 90090*cos(e/2 + (f*x)/2)^10*sin(e/2 + (f*x)/2)^6 + 22770*cos(e/2 + (f*x)/2)^12*sin(e/2 + (f*x)/2)^4 - 3850*cos(e/2 + (f*x)/2)^14*sin(e/2 + (f*x)/2)^2 - 887040*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^11*(e + f*x))/(887040*a^3*c^6*f*cos(e/2 + (f*x)/2)^5*sin(e/2 + (f*x)/2)^11)","B"
42,0,-1,175,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^4,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^4, x)","F"
43,0,-1,140,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^3,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^3, x)","F"
44,0,-1,105,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^2,x)","\int \sqrt{a+\frac{a}{\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))^(1/2)*(c - c/cos(e + f*x))^2, x)","F"
45,0,-1,66,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x)),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x)), x)","F"
46,0,-1,69,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{c-\frac{c}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x)), x)","F"
47,0,-1,104,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^2,x)","\int \frac{\sqrt{a+\frac{a}{\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))^(1/2)/(c - c/cos(e + f*x))^2, x)","F"
48,0,-1,139,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^3,x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^3, x)","F"
49,0,-1,174,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^4,x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^4, x)","F"
50,0,-1,177,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^3,x)","\int {\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 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^3, x)","F"
51,0,-1,142,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^2,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^2, x)","F"
52,0,-1,101,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x)),x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x)), x)","F"
53,0,-1,70,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x)),x)","\int \frac{{\left(a+\frac{a}{\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))^(3/2)/(c - c/cos(e + f*x)), x)","F"
54,0,-1,102,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^2,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^2, x)","F"
55,0,-1,137,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^3,x)","\int \frac{{\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} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^3, x)","F"
56,0,-1,172,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^4,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^4, x)","F"
57,0,-1,212,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^3,x)","\int {\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 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^3, x)","F"
58,0,-1,177,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^2,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^2, x)","F"
59,0,-1,132,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x)),x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x)), x)","F"
60,0,-1,103,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{c-\frac{c}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x)), x)","F"
61,0,-1,74,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^2,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^2, x)","F"
62,0,-1,104,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^3,x)","\int \frac{{\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} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^3, x)","F"
63,0,-1,140,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^4,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^4, x)","F"
64,0,-1,172,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^5,x)","\int \frac{{\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} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^5, x)","F"
65,0,-1,185,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^(1/2), x)","F"
66,0,-1,152,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^(1/2), x)","F"
67,0,-1,119,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^(1/2), x)","F"
68,0,-1,87,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{c-\frac{c}{\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))/(a + a/cos(e + f*x))^(1/2), x)","F"
69,0,-1,121,0.000000,"\text{Not used}","int(1/((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-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))), x)","F"
70,0,-1,161,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^2),x)","\int \frac{1}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^2), x)","F"
71,0,-1,196,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^3),x)","\int \frac{1}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^3), x)","F"
72,0,-1,203,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4}{{\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))^4/(a + a/cos(e + f*x))^(3/2), x)","F"
73,0,-1,169,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3}{{\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/(a + a/cos(e + f*x))^(3/2), x)","F"
74,0,-1,119,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2}{{\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))^2/(a + a/cos(e + f*x))^(3/2), x)","F"
75,0,-1,113,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{c-\frac{c}{\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))/(a + a/cos(e + f*x))^(3/2), x)","F"
76,0,-1,177,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))), x)","F"
77,0,-1,214,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^2),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^2), x)","F"
78,0,-1,249,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^3),x)","\int \frac{1}{{\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} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^3), x)","F"
79,0,-1,260,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^5/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^5}{{\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/(a + a/cos(e + f*x))^(5/2), x)","F"
80,0,-1,229,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^4/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^4}{{\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))^4/(a + a/cos(e + f*x))^(5/2), x)","F"
81,0,-1,191,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^3/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^3}{{\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))^3/(a + a/cos(e + f*x))^(5/2), x)","F"
82,0,-1,189,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^2/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2}{{\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))^2/(a + a/cos(e + f*x))^(5/2), x)","F"
83,0,-1,148,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{c-\frac{c}{\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))/(a + a/cos(e + f*x))^(5/2), x)","F"
84,0,-1,230,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))), x)","F"
85,0,-1,269,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^2),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^2), x)","F"
86,0,-1,185,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(7/2),x)","\int \sqrt{a+\frac{a}{\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))^(1/2)*(c - c/cos(e + f*x))^(7/2), x)","F"
87,0,-1,139,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2), x)","F"
88,0,-1,93,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2), x)","F"
89,0,-1,48,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2), x)","F"
90,0,-1,51,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(1/2),x)","\int \frac{\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((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(1/2), x)","F"
91,0,-1,96,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(3/2),x)","\int \frac{\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((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(3/2), x)","F"
92,0,-1,142,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(5/2),x)","\int \frac{\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((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(5/2), x)","F"
93,0,-1,188,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c - c/cos(e + f*x))^(7/2),x)","\int \frac{\sqrt{a+\frac{a}{\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))^(1/2)/(c - c/cos(e + f*x))^(7/2), x)","F"
94,0,-1,190,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2),x)","\int {\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((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2), x)","F"
95,0,-1,103,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2),x)","\int {\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((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2), x)","F"
96,0,-1,93,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2),x)","\int {\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((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2), x)","F"
97,0,-1,104,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(1/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(1/2), x)","F"
98,0,-1,100,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(3/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(3/2), x)","F"
99,0,-1,146,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(5/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(5/2), x)","F"
100,0,-1,196,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c - c/cos(e + f*x))^(7/2),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\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))^(3/2)/(c - c/cos(e + f*x))^(7/2), x)","F"
101,0,-1,153,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2),x)","\int {\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((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2), x)","F"
102,0,-1,190,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2),x)","\int {\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((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2), x)","F"
103,0,-1,139,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2),x)","\int {\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((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2), x)","F"
104,0,-1,152,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(1/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(1/2), x)","F"
105,0,-1,96,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(3/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(3/2), x)","F"
106,0,-1,100,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(5/2),x)","\int \frac{{\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((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(5/2), x)","F"
107,0,-1,148,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(7/2),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\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))^(5/2)/(c - c/cos(e + f*x))^(7/2), x)","F"
108,0,-1,194,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(9/2),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(9/2), x)","F"
109,0,-1,244,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(11/2),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{11/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c - c/cos(e + f*x))^(11/2), x)","F"
110,0,-1,204,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(7/2)/(a + a/cos(e + f*x))^(1/2), x)","F"
111,0,-1,151,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(5/2)/(a + a/cos(e + f*x))^(1/2), x)","F"
112,0,-1,102,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x))^(1/2), x)","F"
113,0,-1,49,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{\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)/(a + a/cos(e + f*x))^(1/2), x)","F"
114,0,-1,46,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\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/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
115,0,-1,168,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\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/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
116,0,-1,274,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\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/((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
117,0,-1,215,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{{\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))^(7/2)/(a + a/cos(e + f*x))^(3/2), x)","F"
118,0,-1,96,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\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)/(a + a/cos(e + f*x))^(3/2), x)","F"
119,0,-1,98,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\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)/(a + a/cos(e + f*x))^(3/2), x)","F"
120,0,-1,94,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{\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))^(1/2)/(a + a/cos(e + f*x))^(3/2), x)","F"
121,0,-1,215,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
122,0,-1,101,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
123,0,-1,347,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
124,0,-1,220,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(7/2)/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{{\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))^(7/2)/(a + a/cos(e + f*x))^(5/2), x)","F"
125,0,-1,98,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(5/2)/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\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)/(a + a/cos(e + f*x))^(5/2), x)","F"
126,0,-1,144,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\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))^(3/2)/(a + a/cos(e + f*x))^(5/2), x)","F"
127,0,-1,140,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{\sqrt{c-\frac{c}{\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))^(1/2)/(a + a/cos(e + f*x))^(5/2), x)","F"
128,0,-1,270,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(1/2)), x)","F"
129,0,-1,345,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(3/2)), x)","F"
130,0,-1,151,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\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/((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^(5/2)), x)","F"
131,0,-1,92,0.000000,"\text{Not used}","int((1/cos(e + f*x) + 1)^m*(c - c/cos(e + f*x))^n,x)","\int {\left(\frac{1}{\cos\left(e+f\,x\right)}+1\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((1/cos(e + f*x) + 1)^m*(c - c/cos(e + f*x))^n, x)","F"
132,0,-1,109,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^n,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^m*(c - c/cos(e + f*x))^n, x)","F"
133,0,-1,101,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^n,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^3*(c - c/cos(e + f*x))^n, x)","F"
134,0,-1,101,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^n,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)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^2*(c - c/cos(e + f*x))^n, x)","F"
135,0,-1,99,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^n,x)","\int \left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))*(c - c/cos(e + f*x))^n, x)","F"
136,0,-1,99,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x)),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n}{a+\frac{a}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x)), x)","F"
137,0,-1,101,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x))^2,x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x))^2, x)","F"
138,0,-1,172,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^n,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c - c/cos(e + f*x))^n, x)","F"
139,0,-1,119,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^n,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c - c/cos(e + f*x))^n, x)","F"
140,0,-1,68,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^n,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c - c/cos(e + f*x))^n, x)","F"
141,0,-1,139,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x))^(1/2), x)","F"
142,0,-1,205,0.000000,"\text{Not used}","int((c - c/cos(e + f*x))^n/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c-\frac{c}{\cos\left(e+f\,x\right)}\right)}^n}{{\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))^n/(a + a/cos(e + f*x))^(3/2), x)","F"
143,0,-1,91,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + c/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{c+\frac{c}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c + c/cos(e + f*x)), x)","F"
144,0,-1,231,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x)),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{a+\frac{a}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^(3/2)/(a + a/cos(e + f*x)), x)","F"
145,0,-1,225,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x)),x)","\int \frac{\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}}{a+\frac{a}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x)), x)","F"
146,0,-1,319,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)\,\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))*(c + d/cos(e + f*x))^(1/2)), x)","F"
147,0,-1,271,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^4,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^4 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^4, x)","F"
148,0,-1,205,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^3,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^3, x)","F"
149,0,-1,144,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^2,x)","\int \sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^2, x)","F"
150,0,-1,66,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x)),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x)), x)","F"
151,0,-1,105,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{c+\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x)), x)","F"
152,0,-1,219,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^2,x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^2, x)","F"
153,0,-1,287,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^3,x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^3, x)","F"
154,0,-1,241,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^3,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^3, x)","F"
155,0,-1,176,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^2,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^2, x)","F"
156,0,-1,105,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x)),x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x)), x)","F"
157,0,-1,110,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x)),x)","\int \frac{{\left(a+\frac{a}{\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))^(3/2)/(c + d/cos(e + f*x)), x)","F"
158,0,-1,229,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^2,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^2, x)","F"
159,0,-1,310,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^3,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^3, x)","F"
160,0,-1,336,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^3,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^3, x)","F"
161,0,-1,258,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^2,x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^2, x)","F"
162,0,-1,142,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x)),x)","\int {\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x)), x)","F"
163,0,-1,203,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x)),x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{c+\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x)), x)","F"
164,0,-1,329,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^2,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^2, x)","F"
165,0,-1,536,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^3,x)","\int \frac{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^3, x)","F"
166,0,-1,258,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(1/2), x)","F"
167,0,-1,183,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(1/2), x)","F"
168,0,-1,91,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{c+\frac{d}{\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))/(a + a/cos(e + f*x))^(1/2), x)","F"
169,0,-1,166,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{\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/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
170,0,-1,416,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^2),x)","\int \frac{1}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^2), x)","F"
171,0,-1,653,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^3),x)","\int \frac{1}{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^3), x)","F"
172,0,-1,324,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(3/2), x)","F"
173,0,-1,290,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(3/2), x)","F"
174,0,-1,127,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + a/cos(e + f*x))^(3/2),x)","\int \frac{c+\frac{d}{\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 + d/cos(e + f*x))/(a + a/cos(e + f*x))^(3/2), x)","F"
175,0,-1,394,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))), x)","F"
176,0,-1,560,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^2),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^2), x)","F"
177,-1,-1,802,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x))^3),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
178,0,-1,480,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^3}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^3/(a + a/cos(e + f*x))^(5/2), x)","F"
179,0,-1,468,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^2}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^2/(a + a/cos(e + f*x))^(5/2), x)","F"
180,0,-1,164,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + a/cos(e + f*x))^(5/2),x)","\int \frac{c+\frac{d}{\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 + d/cos(e + f*x))/(a + a/cos(e + f*x))^(5/2), x)","F"
181,0,-1,592,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)} \,d x","Not used",1,"int(1/((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))), x)","F"
182,-1,-1,756,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
183,-1,-1,999,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x))^3),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
184,0,-1,123,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2),x)","\int \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((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2), x)","F"
185,0,-1,61,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(1/2),x)","\int \frac{\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((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(1/2), x)","F"
186,0,-1,111,0.000000,"\text{Not used}","int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(3/2),x)","\int \frac{\sqrt{a+\frac{a}{\cos\left(e+f\,x\right)}}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(3/2), x)","F"
187,0,-1,141,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(1/2)/(a + a/cos(e + f*x))^(1/2),x)","\int \frac{\sqrt{c+\frac{d}{\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)/(a + a/cos(e + f*x))^(1/2), x)","F"
188,0,-1,141,0.000000,"\text{Not used}","int(1/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\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/((a + a/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
189,1,573,67,2.675975,"\text{Not used}","int((a + b/cos(e + f*x))/(c + d/cos(e + f*x)),x)","\frac{b\,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{b\,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\,a\,c\,\mathrm{atan}\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{b\,\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{a\,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\,a\,d^2\,\mathrm{atan}\left(\frac{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}\right)}{c\,f\,\left(c^2-d^2\right)}+\frac{a\,d^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)}{c\,f\,{\left(c^2-d^2\right)}^{3/2}}+\frac{a\,d\,\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)}}{c\,f\,\left(c^2-d^2\right)}","Not used",1,"(b*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)) - (b*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*a*c*atan(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(f*(c^2 - d^2)) - (b*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)) - (a*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*a*d^2*atan(sin(e/2 + (f*x)/2)/cos(e/2 + (f*x)/2)))/(c*f*(c^2 - d^2)) + (a*d^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)))/(c*f*(c^2 - d^2)^(3/2)) + (a*d*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))/(c*f*(c^2 - d^2))","B"
190,1,3763,123,9.326953,"\text{Not used}","int((a + b/cos(e + f*x))/(c + d/cos(e + f*x))^2,x)","\frac{2\,a\,\mathrm{atan}\left(\frac{\frac{a\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a\,\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)}{c^2}-\frac{a\,\left(-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a\,\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)}{c^2}}{\frac{64\,\left(2\,a^3\,c^4\,d+2\,a^3\,c^3\,d^2-3\,a^3\,c^2\,d^3-a^3\,c\,d^4+a^3\,d^5-a^2\,b\,c^5-3\,a^2\,b\,c^4\,d+a^2\,b\,c^3\,d^2+a^2\,b\,c^2\,d^3+a\,b^2\,c^5\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a\,\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)\,1{}\mathrm{i}}{c^2}+\frac{a\,\left(-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a\,\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)\,1{}\mathrm{i}}{c^2}}\right)}{c^2\,f}-\frac{2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d^2-b\,c\,d\right)}{f\,\left(c+d\right)\,\left(c\,d-c^2\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,1{}\mathrm{i}}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,1{}\mathrm{i}}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}}{\frac{64\,\left(2\,a^3\,c^4\,d+2\,a^3\,c^3\,d^2-3\,a^3\,c^2\,d^3-a^3\,c\,d^4+a^3\,d^5-a^2\,b\,c^5-3\,a^2\,b\,c^4\,d+a^2\,b\,c^3\,d^2+a^2\,b\,c^2\,d^3+a\,b^2\,c^5\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}-\frac{\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^2\,c^6-2\,a^2\,c^5\,d+3\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-5\,a^2\,c^2\,d^4-2\,a^2\,c\,d^5+2\,a^2\,d^6-4\,a\,b\,c^5\,d+2\,a\,b\,c^3\,d^3+b^2\,c^6\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{\left(\frac{32\,\left(a\,c^4\,d^5-b\,c^9-a\,c^9-3\,a\,c^6\,d^3+a\,c^7\,d^2-b\,c^6\,d^3+b\,c^7\,d^2+2\,a\,c^8\,d+b\,c^8\,d\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}}\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(b\,c^3-2\,a\,c^2\,d+a\,d^3\right)\,2{}\mathrm{i}}{f\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}","Not used",1,"(2*a*atan(((a*((a*((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (a*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2 + (32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))/c^2 - (a*((a*((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2 - (32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))/c^2)/((64*(a^3*d^5 + a*b^2*c^5 - a^2*b*c^5 - a^3*c*d^4 + 2*a^3*c^4*d - 3*a^3*c^2*d^3 + 2*a^3*c^3*d^2 + a^2*b*c^2*d^3 + a^2*b*c^3*d^2 - 3*a^2*b*c^4*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a*((a*((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (a*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2 + (32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2))*1i)/c^2 + (a*((a*((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2 - (32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2))*1i)/c^2)))/(c^2*f) + (atan(((((32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (32*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*1i)/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2) + (((32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (32*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*1i)/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))/((64*(a^3*d^5 + a*b^2*c^5 - a^2*b*c^5 - a^3*c*d^4 + 2*a^3*c^4*d - 3*a^3*c^2*d^3 + 2*a^3*c^3*d^2 + a^2*b*c^2*d^3 + a^2*b*c^3*d^2 - 3*a^2*b*c^4*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (((32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (32*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2) - (((32*tan(e/2 + (f*x)/2)*(a^2*c^6 + 2*a^2*d^6 + b^2*c^6 - 2*a^2*c*d^5 - 2*a^2*c^5*d - 5*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 3*a^2*c^4*d^2 - 4*a*b*c^5*d + 2*a*b*c^3*d^3))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (((32*(a*c^4*d^5 - b*c^9 - a*c^9 - 3*a*c^6*d^3 + a*c^7*d^2 - b*c^6*d^3 + b*c^7*d^2 + 2*a*c^8*d + b*c^8*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (32*tan(e/2 + (f*x)/2)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*((c + d)^3*(c - d)^3)^(1/2)*(a*d^3 + b*c^3 - 2*a*c^2*d)*2i)/(f*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)) - (2*tan(e/2 + (f*x)/2)*(a*d^2 - b*c*d))/(f*(c + d)*(c*d - c^2)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d)))","B"
191,1,6909,204,11.352833,"\text{Not used}","int((a + b/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)}^3\,\left(2\,a\,d^4-6\,a\,c^2\,d^2+b\,c^2\,d^2-a\,c\,d^3+4\,b\,c^3\,d\right)}{\left(c^2\,d-c^3\right)\,{\left(c+d\right)}^2}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,a\,d^4-6\,a\,c^2\,d^2-b\,c^2\,d^2+a\,c\,d^3+4\,b\,c^3\,d\right)}{\left(c+d\right)\,\left(c^4-2\,c^3\,d+c^2\,d^2\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{2\,a\,\mathrm{atan}\left(\frac{\frac{a\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a\,\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}+\frac{a\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{a\,\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}}{\frac{16\,\left(12\,a^3\,c^8\,d+24\,a^3\,c^7\,d^2-34\,a^3\,c^6\,d^3-26\,a^3\,c^5\,d^4+36\,a^3\,c^4\,d^5+13\,a^3\,c^3\,d^6-18\,a^3\,c^2\,d^7-2\,a^3\,c\,d^8+4\,a^3\,d^9-4\,a^2\,b\,c^9-20\,a^2\,b\,c^8\,d+6\,a^2\,b\,c^7\,d^2+2\,a^2\,b\,c^6\,d^3+2\,a^2\,b\,c^4\,d^5-2\,a^2\,b\,c^3\,d^6-2\,a^2\,b\,c^2\,d^7+4\,a\,b^2\,c^9+4\,a\,b^2\,c^7\,d^2+a\,b^2\,c^5\,d^4\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a\,\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}+\frac{a\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{a\,\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}}\right)}{c^3\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}{\frac{16\,\left(12\,a^3\,c^8\,d+24\,a^3\,c^7\,d^2-34\,a^3\,c^6\,d^3-26\,a^3\,c^5\,d^4+36\,a^3\,c^4\,d^5+13\,a^3\,c^3\,d^6-18\,a^3\,c^2\,d^7-2\,a^3\,c\,d^8+4\,a^3\,d^9-4\,a^2\,b\,c^9-20\,a^2\,b\,c^8\,d+6\,a^2\,b\,c^7\,d^2+2\,a^2\,b\,c^6\,d^3+2\,a^2\,b\,c^4\,d^5-2\,a^2\,b\,c^3\,d^6-2\,a^2\,b\,c^2\,d^7+4\,a\,b^2\,c^9+4\,a\,b^2\,c^7\,d^2+a\,b^2\,c^5\,d^4\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^2\,c^{10}-8\,a^2\,c^9\,d+24\,a^2\,c^8\,d^2+32\,a^2\,c^7\,d^3-52\,a^2\,c^6\,d^4-48\,a^2\,c^5\,d^5+57\,a^2\,c^4\,d^6+32\,a^2\,c^3\,d^7-32\,a^2\,c^2\,d^8-8\,a^2\,c\,d^9+8\,a^2\,d^{10}-24\,a\,b\,c^9\,d+8\,a\,b\,c^7\,d^3+2\,a\,b\,c^5\,d^5-4\,a\,b\,c^3\,d^7+4\,b^2\,c^{10}+4\,b^2\,c^8\,d^2+b^2\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\left(\frac{8\,\left(4\,a\,c^{15}+4\,b\,c^{15}-4\,a\,c^6\,d^9+2\,a\,c^7\,d^8+18\,a\,c^8\,d^7-4\,a\,c^9\,d^6-36\,a\,c^{10}\,d^5+6\,a\,c^{11}\,d^4+34\,a\,c^{12}\,d^3-8\,a\,c^{13}\,d^2-2\,b\,c^8\,d^7+2\,b\,c^9\,d^6+6\,b\,c^{12}\,d^3-6\,b\,c^{13}\,d^2-12\,a\,c^{14}\,d-4\,b\,c^{14}\,d\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(2\,b\,c^5-6\,a\,c^4\,d+b\,c^3\,d^2+5\,a\,c^2\,d^3-2\,a\,d^5\right)\,1{}\mathrm{i}}{f\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}","Not used",1,"(2*a*atan(((a*((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (a*((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3))/c^3 + (a*((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (a*((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3))/c^3)/((16*(4*a^3*d^9 + 4*a*b^2*c^9 - 4*a^2*b*c^9 - 2*a^3*c*d^8 + 12*a^3*c^8*d - 18*a^3*c^2*d^7 + 13*a^3*c^3*d^6 + 36*a^3*c^4*d^5 - 26*a^3*c^5*d^4 - 34*a^3*c^6*d^3 + 24*a^3*c^7*d^2 + a*b^2*c^5*d^4 + 4*a*b^2*c^7*d^2 - 2*a^2*b*c^2*d^7 - 2*a^2*b*c^3*d^6 + 2*a^2*b*c^4*d^5 + 2*a^2*b*c^6*d^3 + 6*a^2*b*c^7*d^2 - 20*a^2*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a*((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (a*((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3)*1i)/c^3 + (a*((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (a*((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3)*1i)/c^3)))/(c^3*f) - ((tan(e/2 + (f*x)/2)^3*(2*a*d^4 - 6*a*c^2*d^2 + b*c^2*d^2 - a*c*d^3 + 4*b*c^3*d))/((c^2*d - c^3)*(c + d)^2) + (tan(e/2 + (f*x)/2)*(2*a*d^4 - 6*a*c^2*d^2 - b*c^2*d^2 + a*c*d^3 + 4*b*c^3*d))/((c + d)*(c^4 - 2*c^3*d + c^2*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)) + (atan(((((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))/((16*(4*a^3*d^9 + 4*a*b^2*c^9 - 4*a^2*b*c^9 - 2*a^3*c*d^8 + 12*a^3*c^8*d - 18*a^3*c^2*d^7 + 13*a^3*c^3*d^6 + 36*a^3*c^4*d^5 - 26*a^3*c^5*d^4 - 34*a^3*c^6*d^3 + 24*a^3*c^7*d^2 + a*b^2*c^5*d^4 + 4*a*b^2*c^7*d^2 - 2*a^2*b*c^2*d^7 - 2*a^2*b*c^3*d^6 + 2*a^2*b*c^4*d^5 + 2*a^2*b*c^6*d^3 + 6*a^2*b*c^7*d^2 - 20*a^2*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^2*c^10 + 8*a^2*d^10 + 4*b^2*c^10 - 8*a^2*c*d^9 - 8*a^2*c^9*d - 32*a^2*c^2*d^8 + 32*a^2*c^3*d^7 + 57*a^2*c^4*d^6 - 48*a^2*c^5*d^5 - 52*a^2*c^6*d^4 + 32*a^2*c^7*d^3 + 24*a^2*c^8*d^2 + b^2*c^6*d^4 + 4*b^2*c^8*d^2 - 24*a*b*c^9*d - 4*a*b*c^3*d^7 + 2*a*b*c^5*d^5 + 8*a*b*c^7*d^3))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (((8*(4*a*c^15 + 4*b*c^15 - 4*a*c^6*d^9 + 2*a*c^7*d^8 + 18*a*c^8*d^7 - 4*a*c^9*d^6 - 36*a*c^10*d^5 + 6*a*c^11*d^4 + 34*a*c^12*d^3 - 8*a*c^13*d^2 - 2*b*c^8*d^7 + 2*b*c^9*d^6 + 6*b*c^12*d^3 - 6*b*c^13*d^2 - 12*a*c^14*d - 4*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2))))*((c + d)^5*(c - d)^5)^(1/2)*(2*b*c^5 - 2*a*d^5 + 5*a*c^2*d^3 + b*c^3*d^2 - 6*a*c^4*d)*1i)/(f*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2))","B"
192,1,4934,133,10.204700,"\text{Not used}","int((a + b/cos(e + f*x))^2/(c + d/cos(e + f*x))^2,x)","\frac{2\,a^2\,\mathrm{atan}\left(\frac{\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a^2\,\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)}{c^2}+\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{a^2\,\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)}{c^2}}{\frac{64\,\left(2\,a^6\,c^4\,d+2\,a^6\,c^3\,d^2-3\,a^6\,c^2\,d^3-a^6\,c\,d^4+a^6\,d^5-2\,a^5\,b\,c^5-6\,a^5\,b\,c^4\,d+2\,a^5\,b\,c^3\,d^2+2\,a^5\,b\,c^2\,d^3+4\,a^4\,b^2\,c^5+a^4\,b^2\,c^4\,d+3\,a^4\,b^2\,c^3\,d^2-a^4\,b^2\,c^2\,d^3-a^4\,b^2\,c\,d^4-4\,a^3\,b^3\,c^4\,d+a^2\,b^4\,c^3\,d^2\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{a^2\,\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)\,1{}\mathrm{i}}{c^2}-\frac{a^2\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{a^2\,\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)\,32{}\mathrm{i}}{c^2\,\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)}\right)\,1{}\mathrm{i}}{c^2}\right)\,1{}\mathrm{i}}{c^2}}\right)}{c^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(c+d\right)\,\left(c\,d-c^2\right)\,\left(\left(d-c\right)\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2+c+d\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,1{}\mathrm{i}}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}+\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,1{}\mathrm{i}}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}}{\frac{64\,\left(2\,a^6\,c^4\,d+2\,a^6\,c^3\,d^2-3\,a^6\,c^2\,d^3-a^6\,c\,d^4+a^6\,d^5-2\,a^5\,b\,c^5-6\,a^5\,b\,c^4\,d+2\,a^5\,b\,c^3\,d^2+2\,a^5\,b\,c^2\,d^3+4\,a^4\,b^2\,c^5+a^4\,b^2\,c^4\,d+3\,a^4\,b^2\,c^3\,d^2-a^4\,b^2\,c^2\,d^3-a^4\,b^2\,c\,d^4-4\,a^3\,b^3\,c^4\,d+a^2\,b^4\,c^3\,d^2\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}+\frac{\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}-\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}-\frac{\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a^4\,c^6-2\,a^4\,c^5\,d+3\,a^4\,c^4\,d^2+4\,a^4\,c^3\,d^3-5\,a^4\,c^2\,d^4-2\,a^4\,c\,d^5+2\,a^4\,d^6-8\,a^3\,b\,c^5\,d+4\,a^3\,b\,c^3\,d^3+4\,a^2\,b^2\,c^6+4\,a^2\,b^2\,c^4\,d^2-2\,a^2\,b^2\,c^2\,d^4-4\,a\,b^3\,c^5\,d+b^4\,c^4\,d^2\right)}{c^5+c^4\,d-c^3\,d^2-c^2\,d^3}-\frac{\left(\frac{32\,\left(-a^2\,c^9+2\,a^2\,c^8\,d+a^2\,c^7\,d^2-3\,a^2\,c^6\,d^3+a^2\,c^4\,d^5-2\,a\,b\,c^9+2\,a\,b\,c^8\,d+2\,a\,b\,c^7\,d^2-2\,a\,b\,c^6\,d^3+b^2\,c^8\,d-b^2\,c^7\,d^2-b^2\,c^6\,d^3+b^2\,c^5\,d^4\right)}{c^6+c^5\,d-c^4\,d^2-c^3\,d^3}+\frac{32\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,\left(2\,c^9\,d-2\,c^8\,d^2-4\,c^7\,d^3+4\,c^6\,d^4+2\,c^5\,d^5-2\,c^4\,d^6\right)}{\left(c^5+c^4\,d-c^3\,d^2-c^2\,d^3\right)\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}\right)\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)}{c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6}}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^3\,{\left(c-d\right)}^3}\,\left(-2\,a\,c^2+b\,c\,d+a\,d^2\right)\,2{}\mathrm{i}}{f\,\left(c^8-3\,c^6\,d^2+3\,c^4\,d^4-c^2\,d^6\right)}","Not used",1,"(2*a^2*atan(((a^2*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (a^2*((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (a^2*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2))/c^2 + (a^2*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (a^2*((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a^2*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2))/c^2)/((64*(a^6*d^5 - 2*a^5*b*c^5 - a^6*c*d^4 + 2*a^6*c^4*d + 4*a^4*b^2*c^5 - 3*a^6*c^2*d^3 + 2*a^6*c^3*d^2 - 4*a^3*b^3*c^4*d - a^4*b^2*c*d^4 + a^4*b^2*c^4*d + 2*a^5*b*c^2*d^3 + 2*a^5*b*c^3*d^2 + a^2*b^4*c^3*d^2 - a^4*b^2*c^2*d^3 + 3*a^4*b^2*c^3*d^2 - 6*a^5*b*c^4*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a^2*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (a^2*((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (a^2*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2)*1i)/c^2 - (a^2*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (a^2*((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (a^2*tan(e/2 + (f*x)/2)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2)*32i)/(c^2*(c^4*d + c^5 - c^2*d^3 - c^3*d^2)))*1i)/c^2)*1i)/c^2)))/(c^2*f) + (atan((((a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*(a*d^2 - 2*a*c^2 + b*c*d)*1i)/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2) + ((a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*(a*d^2 - 2*a*c^2 + b*c*d)*1i)/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))/((64*(a^6*d^5 - 2*a^5*b*c^5 - a^6*c*d^4 + 2*a^6*c^4*d + 4*a^4*b^2*c^5 - 3*a^6*c^2*d^3 + 2*a^6*c^3*d^2 - 4*a^3*b^3*c^4*d - a^4*b^2*c*d^4 + a^4*b^2*c^4*d + 2*a^5*b*c^2*d^3 + 2*a^5*b*c^3*d^2 + a^2*b^4*c^3*d^2 - a^4*b^2*c^2*d^3 + 3*a^4*b^2*c^3*d^2 - 6*a^5*b*c^4*d))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + ((a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) + (((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) - (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2) - ((a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*((32*tan(e/2 + (f*x)/2)*(a^4*c^6 + 2*a^4*d^6 - 2*a^4*c*d^5 - 2*a^4*c^5*d + 4*a^2*b^2*c^6 - 5*a^4*c^2*d^4 + 4*a^4*c^3*d^3 + 3*a^4*c^4*d^2 + b^4*c^4*d^2 + 4*a^3*b*c^3*d^3 - 2*a^2*b^2*c^2*d^4 + 4*a^2*b^2*c^4*d^2 - 4*a*b^3*c^5*d - 8*a^3*b*c^5*d))/(c^4*d + c^5 - c^2*d^3 - c^3*d^2) - (((32*(2*a^2*c^8*d - a^2*c^9 + b^2*c^8*d + a^2*c^4*d^5 - 3*a^2*c^6*d^3 + a^2*c^7*d^2 + b^2*c^5*d^4 - b^2*c^6*d^3 - b^2*c^7*d^2 - 2*a*b*c^9 + 2*a*b*c^8*d - 2*a*b*c^6*d^3 + 2*a*b*c^7*d^2))/(c^5*d + c^6 - c^3*d^3 - c^4*d^2) + (32*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d)*(2*c^9*d - 2*c^4*d^6 + 2*c^5*d^5 + 4*c^6*d^4 - 4*c^7*d^3 - 2*c^8*d^2))/((c^4*d + c^5 - c^2*d^3 - c^3*d^2)*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2))*(a*d^2 - 2*a*c^2 + b*c*d))/(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)))*(a*d - b*c)*((c + d)^3*(c - d)^3)^(1/2)*(a*d^2 - 2*a*c^2 + b*c*d)*2i)/(f*(c^8 - c^2*d^6 + 3*c^4*d^4 - 3*c^6*d^2)) - (2*tan(e/2 + (f*x)/2)*(a^2*d^2 + b^2*c^2 - 2*a*b*c*d))/(f*(c + d)*(c*d - c^2)*(c + d - tan(e/2 + (f*x)/2)^2*(c - d)))","B"
193,1,8682,237,12.136224,"\text{Not used}","int((a + b/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(6\,a^2\,c^2\,d^2+a^2\,c\,d^3-2\,a^2\,d^4-8\,a\,b\,c^3\,d-2\,a\,b\,c^2\,d^2+2\,b^2\,c^4+b^2\,c^3\,d+2\,b^2\,c^2\,d^2\right)}{\left(c^2\,d-c^3\right)\,{\left(c+d\right)}^2}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-6\,a^2\,c^2\,d^2+a^2\,c\,d^3+2\,a^2\,d^4+8\,a\,b\,c^3\,d-2\,a\,b\,c^2\,d^2-2\,b^2\,c^4+b^2\,c^3\,d-2\,b^2\,c^2\,d^2\right)}{\left(c+d\right)\,\left(c^4-2\,c^3\,d+c^2\,d^2\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{2\,a^2\,\mathrm{atan}\left(\frac{\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}-\frac{a^2\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}}{-\frac{16\,\left(12\,a^6\,c^8\,d+24\,a^6\,c^7\,d^2-34\,a^6\,c^6\,d^3-26\,a^6\,c^5\,d^4+36\,a^6\,c^4\,d^5+13\,a^6\,c^3\,d^6-18\,a^6\,c^2\,d^7-2\,a^6\,c\,d^8+4\,a^6\,d^9-8\,a^5\,b\,c^9-40\,a^5\,b\,c^8\,d+12\,a^5\,b\,c^7\,d^2+4\,a^5\,b\,c^6\,d^3+4\,a^5\,b\,c^4\,d^5-4\,a^5\,b\,c^3\,d^6-4\,a^5\,b\,c^2\,d^7+16\,a^4\,b^2\,c^9+6\,a^4\,b^2\,c^8\,d+46\,a^4\,b^2\,c^7\,d^2-12\,a^4\,b^2\,c^6\,d^3-14\,a^4\,b^2\,c^5\,d^4+6\,a^4\,b^2\,c^4\,d^5+6\,a^4\,b^2\,c^3\,d^6-24\,a^3\,b^3\,c^8\,d-12\,a^3\,b^3\,c^6\,d^3+9\,a^2\,b^4\,c^7\,d^2\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}+\frac{a^2\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}}\right)}{c^3\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}{\frac{16\,\left(12\,a^6\,c^8\,d+24\,a^6\,c^7\,d^2-34\,a^6\,c^6\,d^3-26\,a^6\,c^5\,d^4+36\,a^6\,c^4\,d^5+13\,a^6\,c^3\,d^6-18\,a^6\,c^2\,d^7-2\,a^6\,c\,d^8+4\,a^6\,d^9-8\,a^5\,b\,c^9-40\,a^5\,b\,c^8\,d+12\,a^5\,b\,c^7\,d^2+4\,a^5\,b\,c^6\,d^3+4\,a^5\,b\,c^4\,d^5-4\,a^5\,b\,c^3\,d^6-4\,a^5\,b\,c^2\,d^7+16\,a^4\,b^2\,c^9+6\,a^4\,b^2\,c^8\,d+46\,a^4\,b^2\,c^7\,d^2-12\,a^4\,b^2\,c^6\,d^3-14\,a^4\,b^2\,c^5\,d^4+6\,a^4\,b^2\,c^4\,d^5+6\,a^4\,b^2\,c^3\,d^6-24\,a^3\,b^3\,c^8\,d-12\,a^3\,b^3\,c^6\,d^3+9\,a^2\,b^4\,c^7\,d^2\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{10}-8\,a^4\,c^9\,d+24\,a^4\,c^8\,d^2+32\,a^4\,c^7\,d^3-52\,a^4\,c^6\,d^4-48\,a^4\,c^5\,d^5+57\,a^4\,c^4\,d^6+32\,a^4\,c^3\,d^7-32\,a^4\,c^2\,d^8-8\,a^4\,c\,d^9+8\,a^4\,d^{10}-48\,a^3\,b\,c^9\,d+16\,a^3\,b\,c^7\,d^3+4\,a^3\,b\,c^5\,d^5-8\,a^3\,b\,c^3\,d^7+16\,a^2\,b^2\,c^{10}+52\,a^2\,b^2\,c^8\,d^2-26\,a^2\,b^2\,c^6\,d^4+12\,a^2\,b^2\,c^4\,d^6-24\,a\,b^3\,c^9\,d-12\,a\,b^3\,c^7\,d^3+9\,b^4\,c^8\,d^2\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(\frac{8\,\left(4\,a^2\,c^{15}-12\,a^2\,c^{14}\,d-8\,a^2\,c^{13}\,d^2+34\,a^2\,c^{12}\,d^3+6\,a^2\,c^{11}\,d^4-36\,a^2\,c^{10}\,d^5-4\,a^2\,c^9\,d^6+18\,a^2\,c^8\,d^7+2\,a^2\,c^7\,d^8-4\,a^2\,c^6\,d^9+8\,a\,b\,c^{15}-8\,a\,b\,c^{14}\,d-12\,a\,b\,c^{13}\,d^2+12\,a\,b\,c^{12}\,d^3+4\,a\,b\,c^9\,d^6-4\,a\,b\,c^8\,d^7-6\,b^2\,c^{14}\,d+6\,b^2\,c^{13}\,d^2+12\,b^2\,c^{12}\,d^3-12\,b^2\,c^{11}\,d^4-6\,b^2\,c^{10}\,d^5+6\,b^2\,c^9\,d^6\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4\,d-5\,a^2\,c^2\,d^3+2\,a^2\,d^5-4\,a\,b\,c^5-2\,a\,b\,c^3\,d^2+3\,b^2\,c^4\,d\right)\,1{}\mathrm{i}}{f\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}","Not used",1,"((tan(e/2 + (f*x)/2)^3*(2*b^2*c^4 - 2*a^2*d^4 + a^2*c*d^3 + b^2*c^3*d + 6*a^2*c^2*d^2 + 2*b^2*c^2*d^2 - 8*a*b*c^3*d - 2*a*b*c^2*d^2))/((c^2*d - c^3)*(c + d)^2) - (tan(e/2 + (f*x)/2)*(2*a^2*d^4 - 2*b^2*c^4 + a^2*c*d^3 + b^2*c^3*d - 6*a^2*c^2*d^2 - 2*b^2*c^2*d^2 + 8*a*b*c^3*d - 2*a*b*c^2*d^2))/((c + d)*(c^4 - 2*c^3*d + c^2*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)) - (2*a^2*atan(((a^2*((a^2*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a^2*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 + (8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))/c^3 - (a^2*((a^2*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^2*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 - (8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))/c^3)/((a^2*((a^2*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a^2*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 + (8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2))*1i)/c^3 - (16*(4*a^6*d^9 - 8*a^5*b*c^9 - 2*a^6*c*d^8 + 12*a^6*c^8*d + 16*a^4*b^2*c^9 - 18*a^6*c^2*d^7 + 13*a^6*c^3*d^6 + 36*a^6*c^4*d^5 - 26*a^6*c^5*d^4 - 34*a^6*c^6*d^3 + 24*a^6*c^7*d^2 - 24*a^3*b^3*c^8*d + 6*a^4*b^2*c^8*d - 4*a^5*b*c^2*d^7 - 4*a^5*b*c^3*d^6 + 4*a^5*b*c^4*d^5 + 4*a^5*b*c^6*d^3 + 12*a^5*b*c^7*d^2 + 9*a^2*b^4*c^7*d^2 - 12*a^3*b^3*c^6*d^3 + 6*a^4*b^2*c^3*d^6 + 6*a^4*b^2*c^4*d^5 - 14*a^4*b^2*c^5*d^4 - 12*a^4*b^2*c^6*d^3 + 46*a^4*b^2*c^7*d^2 - 40*a^5*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^2*((a^2*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^2*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 - (8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2))*1i)/c^3)))/(c^3*f) + (atan(((((8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (((c + d)^5*(c - d)^5)^(1/2)*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (((c + d)^5*(c - d)^5)^(1/2)*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))/((16*(4*a^6*d^9 - 8*a^5*b*c^9 - 2*a^6*c*d^8 + 12*a^6*c^8*d + 16*a^4*b^2*c^9 - 18*a^6*c^2*d^7 + 13*a^6*c^3*d^6 + 36*a^6*c^4*d^5 - 26*a^6*c^5*d^4 - 34*a^6*c^6*d^3 + 24*a^6*c^7*d^2 - 24*a^3*b^3*c^8*d + 6*a^4*b^2*c^8*d - 4*a^5*b*c^2*d^7 - 4*a^5*b*c^3*d^6 + 4*a^5*b*c^4*d^5 + 4*a^5*b*c^6*d^3 + 12*a^5*b*c^7*d^2 + 9*a^2*b^4*c^7*d^2 - 12*a^3*b^3*c^6*d^3 + 6*a^4*b^2*c^3*d^6 + 6*a^4*b^2*c^4*d^5 - 14*a^4*b^2*c^5*d^4 - 12*a^4*b^2*c^6*d^3 + 46*a^4*b^2*c^7*d^2 - 40*a^5*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + (((c + d)^5*(c - d)^5)^(1/2)*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^10 + 8*a^4*d^10 - 8*a^4*c*d^9 - 8*a^4*c^9*d + 16*a^2*b^2*c^10 - 32*a^4*c^2*d^8 + 32*a^4*c^3*d^7 + 57*a^4*c^4*d^6 - 48*a^4*c^5*d^5 - 52*a^4*c^6*d^4 + 32*a^4*c^7*d^3 + 24*a^4*c^8*d^2 + 9*b^4*c^8*d^2 - 12*a*b^3*c^7*d^3 - 8*a^3*b*c^3*d^7 + 4*a^3*b*c^5*d^5 + 16*a^3*b*c^7*d^3 + 12*a^2*b^2*c^4*d^6 - 26*a^2*b^2*c^6*d^4 + 52*a^2*b^2*c^8*d^2 - 24*a*b^3*c^9*d - 48*a^3*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - (((c + d)^5*(c - d)^5)^(1/2)*((8*(4*a^2*c^15 - 12*a^2*c^14*d - 6*b^2*c^14*d - 4*a^2*c^6*d^9 + 2*a^2*c^7*d^8 + 18*a^2*c^8*d^7 - 4*a^2*c^9*d^6 - 36*a^2*c^10*d^5 + 6*a^2*c^11*d^4 + 34*a^2*c^12*d^3 - 8*a^2*c^13*d^2 + 6*b^2*c^9*d^6 - 6*b^2*c^10*d^5 - 12*b^2*c^11*d^4 + 12*b^2*c^12*d^3 + 6*b^2*c^13*d^2 + 8*a*b*c^15 - 8*a*b*c^14*d - 4*a*b*c^8*d^7 + 4*a*b*c^9*d^6 + 12*a*b*c^12*d^3 - 12*a*b*c^13*d^2))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2))))*((c + d)^5*(c - d)^5)^(1/2)*(2*a^2*d^5 + 6*a^2*c^4*d + 3*b^2*c^4*d - 5*a^2*c^2*d^3 - 4*a*b*c^5 - 2*a*b*c^3*d^2)*1i)/(f*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2))","B"
194,1,12818,377,15.074295,"\text{Not used}","int((a + b/cos(e + f*x))^2/(c + d/cos(e + f*x))^4,x)","-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(12\,a^2\,c^4\,d^2+4\,a^2\,c^3\,d^3-6\,a^2\,c^2\,d^4-a^2\,c\,d^5+2\,a^2\,d^6-12\,a\,b\,c^5\,d-6\,a\,b\,c^4\,d^2-4\,a\,b\,c^3\,d^3+2\,b^2\,c^6+2\,b^2\,c^5\,d+6\,b^2\,c^4\,d^2+b^2\,c^3\,d^3\right)}{\left(c^3\,d-c^4\right)\,{\left(c+d\right)}^3}+\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(18\,a^2\,c^4\,d^2-11\,a^2\,c^2\,d^4+3\,a^2\,d^6-18\,a\,b\,c^5\,d-2\,a\,b\,c^3\,d^3+3\,b^2\,c^6+7\,b^2\,c^4\,d^2\right)}{3\,{\left(c+d\right)}^2\,\left(c^5-2\,c^4\,d+c^3\,d^2\right)}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(12\,a^2\,c^4\,d^2-4\,a^2\,c^3\,d^3-6\,a^2\,c^2\,d^4+a^2\,c\,d^5+2\,a^2\,d^6-12\,a\,b\,c^5\,d+6\,a\,b\,c^4\,d^2-4\,a\,b\,c^3\,d^3+2\,b^2\,c^6-2\,b^2\,c^5\,d+6\,b^2\,c^4\,d^2-b^2\,c^3\,d^3\right)}{\left(c+d\right)\,\left(-c^6+3\,c^5\,d-3\,c^4\,d^2+c^3\,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{2\,a^2\,\mathrm{atan}\left(\frac{\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)}{c^4}+\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)}{c^4}}{\frac{16\,\left(16\,a^6\,c^{12}\,d+48\,a^6\,c^{11}\,d^2-64\,a^6\,c^{10}\,d^3-64\,a^6\,c^9\,d^4+110\,a^6\,c^8\,d^5+66\,a^6\,c^7\,d^6-110\,a^6\,c^6\,d^7-34\,a^6\,c^5\,d^8+70\,a^6\,c^4\,d^9+11\,a^6\,c^3\,d^{10}-26\,a^6\,c^2\,d^{11}-2\,a^6\,c\,d^{12}+4\,a^6\,d^{13}-8\,a^5\,b\,c^{13}-56\,a^5\,b\,c^{12}\,d+12\,a^5\,b\,c^{11}\,d^2-44\,a^5\,b\,c^{10}\,d^3+12\,a^5\,b\,c^9\,d^4+28\,a^5\,b\,c^8\,d^5-28\,a^5\,b\,c^7\,d^6-40\,a^5\,b\,c^6\,d^7+12\,a^5\,b\,c^5\,d^8+12\,a^5\,b\,c^4\,d^9+16\,a^4\,b^2\,c^{13}+8\,a^4\,b^2\,c^{12}\,d+104\,a^4\,b^2\,c^{11}\,d^2-22\,a^4\,b^2\,c^{10}\,d^3+10\,a^4\,b^2\,c^9\,d^4+18\,a^4\,b^2\,c^8\,d^5+22\,a^4\,b^2\,c^7\,d^6-2\,a^4\,b^2\,c^6\,d^7-2\,a^4\,b^2\,c^4\,d^9-2\,a^4\,b^2\,c^3\,d^{10}-32\,a^3\,b^3\,c^{12}\,d-56\,a^3\,b^3\,c^{10}\,d^3-12\,a^3\,b^3\,c^8\,d^5+16\,a^2\,b^4\,c^{11}\,d^2+8\,a^2\,b^4\,c^9\,d^4+a^2\,b^4\,c^7\,d^6\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)\,1{}\mathrm{i}}{c^4}+\frac{a^2\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{a^2\,\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{a^2\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)\,1{}\mathrm{i}}{c^4}}\right)}{c^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,1{}\mathrm{i}}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,1{}\mathrm{i}}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}}{\frac{16\,\left(16\,a^6\,c^{12}\,d+48\,a^6\,c^{11}\,d^2-64\,a^6\,c^{10}\,d^3-64\,a^6\,c^9\,d^4+110\,a^6\,c^8\,d^5+66\,a^6\,c^7\,d^6-110\,a^6\,c^6\,d^7-34\,a^6\,c^5\,d^8+70\,a^6\,c^4\,d^9+11\,a^6\,c^3\,d^{10}-26\,a^6\,c^2\,d^{11}-2\,a^6\,c\,d^{12}+4\,a^6\,d^{13}-8\,a^5\,b\,c^{13}-56\,a^5\,b\,c^{12}\,d+12\,a^5\,b\,c^{11}\,d^2-44\,a^5\,b\,c^{10}\,d^3+12\,a^5\,b\,c^9\,d^4+28\,a^5\,b\,c^8\,d^5-28\,a^5\,b\,c^7\,d^6-40\,a^5\,b\,c^6\,d^7+12\,a^5\,b\,c^5\,d^8+12\,a^5\,b\,c^4\,d^9+16\,a^4\,b^2\,c^{13}+8\,a^4\,b^2\,c^{12}\,d+104\,a^4\,b^2\,c^{11}\,d^2-22\,a^4\,b^2\,c^{10}\,d^3+10\,a^4\,b^2\,c^9\,d^4+18\,a^4\,b^2\,c^8\,d^5+22\,a^4\,b^2\,c^7\,d^6-2\,a^4\,b^2\,c^6\,d^7-2\,a^4\,b^2\,c^4\,d^9-2\,a^4\,b^2\,c^3\,d^{10}-32\,a^3\,b^3\,c^{12}\,d-56\,a^3\,b^3\,c^{10}\,d^3-12\,a^3\,b^3\,c^8\,d^5+16\,a^2\,b^4\,c^{11}\,d^2+8\,a^2\,b^4\,c^9\,d^4+a^2\,b^4\,c^7\,d^6\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^4\,c^{14}-8\,a^4\,c^{13}\,d+44\,a^4\,c^{12}\,d^2+48\,a^4\,c^{11}\,d^3-92\,a^4\,c^{10}\,d^4-120\,a^4\,c^9\,d^5+156\,a^4\,c^8\,d^6+160\,a^4\,c^7\,d^7-164\,a^4\,c^6\,d^8-120\,a^4\,c^5\,d^9+117\,a^4\,c^4\,d^{10}+48\,a^4\,c^3\,d^{11}-48\,a^4\,c^2\,d^{12}-8\,a^4\,c\,d^{13}+8\,a^4\,d^{14}-64\,a^3\,b\,c^{13}\,d-32\,a^3\,b\,c^{11}\,d^3+40\,a^3\,b\,c^9\,d^5-68\,a^3\,b\,c^7\,d^7+24\,a^3\,b\,c^5\,d^9+16\,a^2\,b^2\,c^{14}+112\,a^2\,b^2\,c^{12}\,d^2-12\,a^2\,b^2\,c^{10}\,d^4+40\,a^2\,b^2\,c^8\,d^6-2\,a^2\,b^2\,c^6\,d^8-4\,a^2\,b^2\,c^4\,d^{10}-32\,a\,b^3\,c^{13}\,d-56\,a\,b^3\,c^{11}\,d^3-12\,a\,b^3\,c^9\,d^5+16\,b^4\,c^{12}\,d^2+8\,b^4\,c^{10}\,d^4+b^4\,c^8\,d^6\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{\left(\frac{8\,\left(4\,a^2\,c^{21}-16\,a^2\,c^{20}\,d-12\,a^2\,c^{19}\,d^2+64\,a^2\,c^{18}\,d^3+20\,a^2\,c^{17}\,d^4-110\,a^2\,c^{16}\,d^5-30\,a^2\,c^{15}\,d^6+110\,a^2\,c^{14}\,d^7+30\,a^2\,c^{13}\,d^8-70\,a^2\,c^{12}\,d^9-14\,a^2\,c^{11}\,d^{10}+26\,a^2\,c^{10}\,d^{11}+2\,a^2\,c^9\,d^{12}-4\,a^2\,c^8\,d^{13}+8\,a\,b\,c^{21}-8\,a\,b\,c^{20}\,d-12\,a\,b\,c^{19}\,d^2+12\,a\,b\,c^{18}\,d^3-12\,a\,b\,c^{17}\,d^4+12\,a\,b\,c^{16}\,d^5+28\,a\,b\,c^{15}\,d^6-28\,a\,b\,c^{14}\,d^7-12\,a\,b\,c^{13}\,d^8+12\,a\,b\,c^{12}\,d^9-8\,b^2\,c^{20}\,d+8\,b^2\,c^{19}\,d^2+22\,b^2\,c^{18}\,d^3-22\,b^2\,c^{17}\,d^4-18\,b^2\,c^{16}\,d^5+18\,b^2\,c^{15}\,d^6+2\,b^2\,c^{14}\,d^7-2\,b^2\,c^{13}\,d^8+2\,b^2\,c^{12}\,d^9-2\,b^2\,c^{11}\,d^{10}\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^2\,c^6\,d+8\,a^2\,c^4\,d^3-7\,a^2\,c^2\,d^5+2\,a^2\,d^7+4\,a\,b\,c^7+6\,a\,b\,c^5\,d^2-4\,b^2\,c^6\,d-b^2\,c^4\,d^3\right)\,1{}\mathrm{i}}{f\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}","Not used",1,"(2*a^2*atan(((a^2*((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (a^2*((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (a^2*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4))/c^4 + (a^2*((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (a^2*((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (a^2*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4))/c^4)/((16*(4*a^6*d^13 - 8*a^5*b*c^13 - 2*a^6*c*d^12 + 16*a^6*c^12*d + 16*a^4*b^2*c^13 - 26*a^6*c^2*d^11 + 11*a^6*c^3*d^10 + 70*a^6*c^4*d^9 - 34*a^6*c^5*d^8 - 110*a^6*c^6*d^7 + 66*a^6*c^7*d^6 + 110*a^6*c^8*d^5 - 64*a^6*c^9*d^4 - 64*a^6*c^10*d^3 + 48*a^6*c^11*d^2 - 32*a^3*b^3*c^12*d + 8*a^4*b^2*c^12*d + 12*a^5*b*c^4*d^9 + 12*a^5*b*c^5*d^8 - 40*a^5*b*c^6*d^7 - 28*a^5*b*c^7*d^6 + 28*a^5*b*c^8*d^5 + 12*a^5*b*c^9*d^4 - 44*a^5*b*c^10*d^3 + 12*a^5*b*c^11*d^2 + a^2*b^4*c^7*d^6 + 8*a^2*b^4*c^9*d^4 + 16*a^2*b^4*c^11*d^2 - 12*a^3*b^3*c^8*d^5 - 56*a^3*b^3*c^10*d^3 - 2*a^4*b^2*c^3*d^10 - 2*a^4*b^2*c^4*d^9 - 2*a^4*b^2*c^6*d^7 + 22*a^4*b^2*c^7*d^6 + 18*a^4*b^2*c^8*d^5 + 10*a^4*b^2*c^9*d^4 - 22*a^4*b^2*c^10*d^3 + 104*a^4*b^2*c^11*d^2 - 56*a^5*b*c^12*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (a^2*((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (a^2*((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (a^2*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4)*1i)/c^4 + (a^2*((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (a^2*((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (a^2*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4)*1i)/c^4)))/(c^4*f) - ((tan(e/2 + (f*x)/2)^5*(2*a^2*d^6 + 2*b^2*c^6 - a^2*c*d^5 + 2*b^2*c^5*d - 6*a^2*c^2*d^4 + 4*a^2*c^3*d^3 + 12*a^2*c^4*d^2 + b^2*c^3*d^3 + 6*b^2*c^4*d^2 - 12*a*b*c^5*d - 4*a*b*c^3*d^3 - 6*a*b*c^4*d^2))/((c^3*d - c^4)*(c + d)^3) + (4*tan(e/2 + (f*x)/2)^3*(3*a^2*d^6 + 3*b^2*c^6 - 11*a^2*c^2*d^4 + 18*a^2*c^4*d^2 + 7*b^2*c^4*d^2 - 18*a*b*c^5*d - 2*a*b*c^3*d^3))/(3*(c + d)^2*(c^5 - 2*c^4*d + c^3*d^2)) + (tan(e/2 + (f*x)/2)*(2*a^2*d^6 + 2*b^2*c^6 + a^2*c*d^5 - 2*b^2*c^5*d - 6*a^2*c^2*d^4 - 4*a^2*c^3*d^3 + 12*a^2*c^4*d^2 - b^2*c^3*d^3 + 6*b^2*c^4*d^2 - 12*a*b*c^5*d - 4*a*b*c^3*d^3 + 6*a*b*c^4*d^2))/((c + d)*(3*c^5*d - c^6 + c^3*d^3 - 3*c^4*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))) + (atan(((((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*1i)/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*1i)/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))/((16*(4*a^6*d^13 - 8*a^5*b*c^13 - 2*a^6*c*d^12 + 16*a^6*c^12*d + 16*a^4*b^2*c^13 - 26*a^6*c^2*d^11 + 11*a^6*c^3*d^10 + 70*a^6*c^4*d^9 - 34*a^6*c^5*d^8 - 110*a^6*c^6*d^7 + 66*a^6*c^7*d^6 + 110*a^6*c^8*d^5 - 64*a^6*c^9*d^4 - 64*a^6*c^10*d^3 + 48*a^6*c^11*d^2 - 32*a^3*b^3*c^12*d + 8*a^4*b^2*c^12*d + 12*a^5*b*c^4*d^9 + 12*a^5*b*c^5*d^8 - 40*a^5*b*c^6*d^7 - 28*a^5*b*c^7*d^6 + 28*a^5*b*c^8*d^5 + 12*a^5*b*c^9*d^4 - 44*a^5*b*c^10*d^3 + 12*a^5*b*c^11*d^2 + a^2*b^4*c^7*d^6 + 8*a^2*b^4*c^9*d^4 + 16*a^2*b^4*c^11*d^2 - 12*a^3*b^3*c^8*d^5 - 56*a^3*b^3*c^10*d^3 - 2*a^4*b^2*c^3*d^10 - 2*a^4*b^2*c^4*d^9 - 2*a^4*b^2*c^6*d^7 + 22*a^4*b^2*c^7*d^6 + 18*a^4*b^2*c^8*d^5 + 10*a^4*b^2*c^9*d^4 - 22*a^4*b^2*c^10*d^3 + 104*a^4*b^2*c^11*d^2 - 56*a^5*b*c^12*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^4*c^14 + 8*a^4*d^14 - 8*a^4*c*d^13 - 8*a^4*c^13*d + 16*a^2*b^2*c^14 - 48*a^4*c^2*d^12 + 48*a^4*c^3*d^11 + 117*a^4*c^4*d^10 - 120*a^4*c^5*d^9 - 164*a^4*c^6*d^8 + 160*a^4*c^7*d^7 + 156*a^4*c^8*d^6 - 120*a^4*c^9*d^5 - 92*a^4*c^10*d^4 + 48*a^4*c^11*d^3 + 44*a^4*c^12*d^2 + b^4*c^8*d^6 + 8*b^4*c^10*d^4 + 16*b^4*c^12*d^2 - 12*a*b^3*c^9*d^5 - 56*a*b^3*c^11*d^3 + 24*a^3*b*c^5*d^9 - 68*a^3*b*c^7*d^7 + 40*a^3*b*c^9*d^5 - 32*a^3*b*c^11*d^3 - 4*a^2*b^2*c^4*d^10 - 2*a^2*b^2*c^6*d^8 + 40*a^2*b^2*c^8*d^6 - 12*a^2*b^2*c^10*d^4 + 112*a^2*b^2*c^12*d^2 - 32*a*b^3*c^13*d - 64*a^3*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (((8*(4*a^2*c^21 - 16*a^2*c^20*d - 8*b^2*c^20*d - 4*a^2*c^8*d^13 + 2*a^2*c^9*d^12 + 26*a^2*c^10*d^11 - 14*a^2*c^11*d^10 - 70*a^2*c^12*d^9 + 30*a^2*c^13*d^8 + 110*a^2*c^14*d^7 - 30*a^2*c^15*d^6 - 110*a^2*c^16*d^5 + 20*a^2*c^17*d^4 + 64*a^2*c^18*d^3 - 12*a^2*c^19*d^2 - 2*b^2*c^11*d^10 + 2*b^2*c^12*d^9 - 2*b^2*c^13*d^8 + 2*b^2*c^14*d^7 + 18*b^2*c^15*d^6 - 18*b^2*c^16*d^5 - 22*b^2*c^17*d^4 + 22*b^2*c^18*d^3 + 8*b^2*c^19*d^2 + 8*a*b*c^21 - 8*a*b*c^20*d + 12*a*b*c^12*d^9 - 12*a*b*c^13*d^8 - 28*a*b*c^14*d^7 + 28*a*b*c^15*d^6 + 12*a*b*c^16*d^5 - 12*a*b*c^17*d^4 + 12*a*b*c^18*d^3 - 12*a*b*c^19*d^2))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2))))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^2*d^7 - 8*a^2*c^6*d - 4*b^2*c^6*d - 7*a^2*c^2*d^5 + 8*a^2*c^4*d^3 - b^2*c^4*d^3 + 4*a*b*c^7 + 6*a*b*c^5*d^2)*1i)/(f*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2))","B"
195,1,10759,254,14.496446,"\text{Not used}","int((a + b/cos(e + f*x))^3/(c + d/cos(e + f*x))^3,x)","-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-6\,a^3\,c^2\,d^2-a^3\,c\,d^3+2\,a^3\,d^4+12\,a^2\,b\,c^3\,d+3\,a^2\,b\,c^2\,d^2-6\,a\,b^2\,c^4-3\,a\,b^2\,c^3\,d-6\,a\,b^2\,c^2\,d^2+b^3\,c^4+4\,b^3\,c^3\,d\right)}{\left(c^2\,d-c^3\right)\,{\left(c+d\right)}^2}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(-6\,a^3\,c^2\,d^2+a^3\,c\,d^3+2\,a^3\,d^4+12\,a^2\,b\,c^3\,d-3\,a^2\,b\,c^2\,d^2-6\,a\,b^2\,c^4+3\,a\,b^2\,c^3\,d-6\,a\,b^2\,c^2\,d^2-b^3\,c^4+4\,b^3\,c^3\,d\right)}{\left(c+d\right)\,\left(c^4-2\,c^3\,d+c^2\,d^2\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{2\,a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}-\frac{a^3\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)}{c^3}}{-\frac{16\,\left(12\,a^9\,c^8\,d+24\,a^9\,c^7\,d^2-34\,a^9\,c^6\,d^3-26\,a^9\,c^5\,d^4+36\,a^9\,c^4\,d^5+13\,a^9\,c^3\,d^6-18\,a^9\,c^2\,d^7-2\,a^9\,c\,d^8+4\,a^9\,d^9-12\,a^8\,b\,c^9-60\,a^8\,b\,c^8\,d+18\,a^8\,b\,c^7\,d^2+6\,a^8\,b\,c^6\,d^3+6\,a^8\,b\,c^4\,d^5-6\,a^8\,b\,c^3\,d^6-6\,a^8\,b\,c^2\,d^7+36\,a^7\,b^2\,c^9+18\,a^7\,b^2\,c^8\,d+126\,a^7\,b^2\,c^7\,d^2-36\,a^7\,b^2\,c^6\,d^3-45\,a^7\,b^2\,c^5\,d^4+18\,a^7\,b^2\,c^4\,d^5+18\,a^7\,b^2\,c^3\,d^6-2\,a^6\,b^3\,c^9-118\,a^6\,b^3\,c^8\,d-68\,a^6\,b^3\,c^6\,d^3+6\,a^6\,b^3\,c^5\,d^4+10\,a^6\,b^3\,c^4\,d^5-4\,a^6\,b^3\,c^3\,d^6-4\,a^6\,b^3\,c^2\,d^7+12\,a^5\,b^4\,c^9+111\,a^5\,b^4\,c^7\,d^2+12\,a^5\,b^4\,c^5\,d^4-18\,a^4\,b^5\,c^8\,d-36\,a^4\,b^5\,c^6\,d^3+a^3\,b^6\,c^9+4\,a^3\,b^6\,c^7\,d^2+4\,a^3\,b^6\,c^5\,d^4\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}+\frac{a^3\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)\,8{}\mathrm{i}}{c^3\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,1{}\mathrm{i}}{c^3}\right)\,1{}\mathrm{i}}{c^3}}\right)}{c^3\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\left(a\,d-b\,c\right)\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\left(a\,d-b\,c\right)\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,1{}\mathrm{i}}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}{\frac{16\,\left(12\,a^9\,c^8\,d+24\,a^9\,c^7\,d^2-34\,a^9\,c^6\,d^3-26\,a^9\,c^5\,d^4+36\,a^9\,c^4\,d^5+13\,a^9\,c^3\,d^6-18\,a^9\,c^2\,d^7-2\,a^9\,c\,d^8+4\,a^9\,d^9-12\,a^8\,b\,c^9-60\,a^8\,b\,c^8\,d+18\,a^8\,b\,c^7\,d^2+6\,a^8\,b\,c^6\,d^3+6\,a^8\,b\,c^4\,d^5-6\,a^8\,b\,c^3\,d^6-6\,a^8\,b\,c^2\,d^7+36\,a^7\,b^2\,c^9+18\,a^7\,b^2\,c^8\,d+126\,a^7\,b^2\,c^7\,d^2-36\,a^7\,b^2\,c^6\,d^3-45\,a^7\,b^2\,c^5\,d^4+18\,a^7\,b^2\,c^4\,d^5+18\,a^7\,b^2\,c^3\,d^6-2\,a^6\,b^3\,c^9-118\,a^6\,b^3\,c^8\,d-68\,a^6\,b^3\,c^6\,d^3+6\,a^6\,b^3\,c^5\,d^4+10\,a^6\,b^3\,c^4\,d^5-4\,a^6\,b^3\,c^3\,d^6-4\,a^6\,b^3\,c^2\,d^7+12\,a^5\,b^4\,c^9+111\,a^5\,b^4\,c^7\,d^2+12\,a^5\,b^4\,c^5\,d^4-18\,a^4\,b^5\,c^8\,d-36\,a^4\,b^5\,c^6\,d^3+a^3\,b^6\,c^9+4\,a^3\,b^6\,c^7\,d^2+4\,a^3\,b^6\,c^5\,d^4\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}+\frac{\left(a\,d-b\,c\right)\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{10}-8\,a^6\,c^9\,d+24\,a^6\,c^8\,d^2+32\,a^6\,c^7\,d^3-52\,a^6\,c^6\,d^4-48\,a^6\,c^5\,d^5+57\,a^6\,c^4\,d^6+32\,a^6\,c^3\,d^7-32\,a^6\,c^2\,d^8-8\,a^6\,c\,d^9+8\,a^6\,d^{10}-72\,a^5\,b\,c^9\,d+24\,a^5\,b\,c^7\,d^3+6\,a^5\,b\,c^5\,d^5-12\,a^5\,b\,c^3\,d^7+36\,a^4\,b^2\,c^{10}+144\,a^4\,b^2\,c^8\,d^2-81\,a^4\,b^2\,c^6\,d^4+36\,a^4\,b^2\,c^4\,d^6-120\,a^3\,b^3\,c^9\,d-68\,a^3\,b^3\,c^7\,d^3+16\,a^3\,b^3\,c^5\,d^5-8\,a^3\,b^3\,c^3\,d^7+12\,a^2\,b^4\,c^{10}+111\,a^2\,b^4\,c^8\,d^2+12\,a^2\,b^4\,c^6\,d^4-18\,a\,b^5\,c^9\,d-36\,a\,b^5\,c^7\,d^3+b^6\,c^{10}+4\,b^6\,c^8\,d^2+4\,b^6\,c^6\,d^4\right)}{c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7}-\frac{\left(a\,d-b\,c\right)\,\left(\frac{8\,\left(4\,a^3\,c^{15}-12\,a^3\,c^{14}\,d-8\,a^3\,c^{13}\,d^2+34\,a^3\,c^{12}\,d^3+6\,a^3\,c^{11}\,d^4-36\,a^3\,c^{10}\,d^5-4\,a^3\,c^9\,d^6+18\,a^3\,c^8\,d^7+2\,a^3\,c^7\,d^8-4\,a^3\,c^6\,d^9+12\,a^2\,b\,c^{15}-12\,a^2\,b\,c^{14}\,d-18\,a^2\,b\,c^{13}\,d^2+18\,a^2\,b\,c^{12}\,d^3+6\,a^2\,b\,c^9\,d^6-6\,a^2\,b\,c^8\,d^7-18\,a\,b^2\,c^{14}\,d+18\,a\,b^2\,c^{13}\,d^2+36\,a\,b^2\,c^{12}\,d^3-36\,a\,b^2\,c^{11}\,d^4-18\,a\,b^2\,c^{10}\,d^5+18\,a\,b^2\,c^9\,d^6+2\,b^3\,c^{15}-2\,b^3\,c^{14}\,d-6\,b^3\,c^{11}\,d^4+6\,b^3\,c^{10}\,d^5+4\,b^3\,c^9\,d^6-4\,b^3\,c^8\,d^7\right)}{c^{13}+c^{12}\,d-3\,c^{11}\,d^2-3\,c^{10}\,d^3+3\,c^9\,d^4+3\,c^8\,d^5-c^7\,d^6-c^6\,d^7}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,\left(8\,c^{15}\,d-8\,c^{14}\,d^2-32\,c^{13}\,d^3+32\,c^{12}\,d^4+48\,c^{11}\,d^5-48\,c^{10}\,d^6-32\,c^9\,d^7+32\,c^8\,d^8+8\,c^7\,d^9-8\,c^6\,d^{10}\right)}{\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)\,\left(c^{11}+c^{10}\,d-3\,c^9\,d^2-3\,c^8\,d^3+3\,c^7\,d^4+3\,c^6\,d^5-c^5\,d^6-c^4\,d^7\right)}\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)}{2\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}}\right)\,\left(a\,d-b\,c\right)\,\sqrt{{\left(c+d\right)}^5\,{\left(c-d\right)}^5}\,\left(6\,a^2\,c^4-5\,a^2\,c^2\,d^2+2\,a^2\,d^4-8\,a\,b\,c^3\,d+2\,a\,b\,c\,d^3+b^2\,c^4+2\,b^2\,c^2\,d^2\right)\,1{}\mathrm{i}}{f\,\left(c^{13}-5\,c^{11}\,d^2+10\,c^9\,d^4-10\,c^7\,d^6+5\,c^5\,d^8-c^3\,d^{10}\right)}","Not used",1,"(atan(((((8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + ((a*d - b*c)*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - ((a*d - b*c)*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*1i)/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))/((16*(4*a^9*d^9 - 12*a^8*b*c^9 - 2*a^9*c*d^8 + 12*a^9*c^8*d + a^3*b^6*c^9 + 12*a^5*b^4*c^9 - 2*a^6*b^3*c^9 + 36*a^7*b^2*c^9 - 18*a^9*c^2*d^7 + 13*a^9*c^3*d^6 + 36*a^9*c^4*d^5 - 26*a^9*c^5*d^4 - 34*a^9*c^6*d^3 + 24*a^9*c^7*d^2 - 18*a^4*b^5*c^8*d - 118*a^6*b^3*c^8*d + 18*a^7*b^2*c^8*d - 6*a^8*b*c^2*d^7 - 6*a^8*b*c^3*d^6 + 6*a^8*b*c^4*d^5 + 6*a^8*b*c^6*d^3 + 18*a^8*b*c^7*d^2 + 4*a^3*b^6*c^5*d^4 + 4*a^3*b^6*c^7*d^2 - 36*a^4*b^5*c^6*d^3 + 12*a^5*b^4*c^5*d^4 + 111*a^5*b^4*c^7*d^2 - 4*a^6*b^3*c^2*d^7 - 4*a^6*b^3*c^3*d^6 + 10*a^6*b^3*c^4*d^5 + 6*a^6*b^3*c^5*d^4 - 68*a^6*b^3*c^6*d^3 + 18*a^7*b^2*c^3*d^6 + 18*a^7*b^2*c^4*d^5 - 45*a^7*b^2*c^5*d^4 - 36*a^7*b^2*c^6*d^3 + 126*a^7*b^2*c^7*d^2 - 60*a^8*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) + ((a*d - b*c)*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (4*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2) - ((a*d - b*c)*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (4*tan(e/2 + (f*x)/2)*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2))/((c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)))*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d))/(2*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2))))*(a*d - b*c)*((c + d)^5*(c - d)^5)^(1/2)*(6*a^2*c^4 + 2*a^2*d^4 + b^2*c^4 - 5*a^2*c^2*d^2 + 2*b^2*c^2*d^2 + 2*a*b*c*d^3 - 8*a*b*c^3*d)*1i)/(f*(c^13 - c^3*d^10 + 5*c^5*d^8 - 10*c^7*d^6 + 10*c^9*d^4 - 5*c^11*d^2)) - (2*a^3*atan(((a^3*((a^3*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a^3*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 + (8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))/c^3 - (a^3*((a^3*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^3*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 - (8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))/c^3)/((a^3*((a^3*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) - (a^3*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 + (8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2))*1i)/c^3 - (16*(4*a^9*d^9 - 12*a^8*b*c^9 - 2*a^9*c*d^8 + 12*a^9*c^8*d + a^3*b^6*c^9 + 12*a^5*b^4*c^9 - 2*a^6*b^3*c^9 + 36*a^7*b^2*c^9 - 18*a^9*c^2*d^7 + 13*a^9*c^3*d^6 + 36*a^9*c^4*d^5 - 26*a^9*c^5*d^4 - 34*a^9*c^6*d^3 + 24*a^9*c^7*d^2 - 18*a^4*b^5*c^8*d - 118*a^6*b^3*c^8*d + 18*a^7*b^2*c^8*d - 6*a^8*b*c^2*d^7 - 6*a^8*b*c^3*d^6 + 6*a^8*b*c^4*d^5 + 6*a^8*b*c^6*d^3 + 18*a^8*b*c^7*d^2 + 4*a^3*b^6*c^5*d^4 + 4*a^3*b^6*c^7*d^2 - 36*a^4*b^5*c^6*d^3 + 12*a^5*b^4*c^5*d^4 + 111*a^5*b^4*c^7*d^2 - 4*a^6*b^3*c^2*d^7 - 4*a^6*b^3*c^3*d^6 + 10*a^6*b^3*c^4*d^5 + 6*a^6*b^3*c^5*d^4 - 68*a^6*b^3*c^6*d^3 + 18*a^7*b^2*c^3*d^6 + 18*a^7*b^2*c^4*d^5 - 45*a^7*b^2*c^5*d^4 - 36*a^7*b^2*c^6*d^3 + 126*a^7*b^2*c^7*d^2 - 60*a^8*b*c^8*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^3*((a^3*((8*(4*a^3*c^15 + 2*b^3*c^15 + 12*a^2*b*c^15 - 12*a^3*c^14*d - 2*b^3*c^14*d - 4*a^3*c^6*d^9 + 2*a^3*c^7*d^8 + 18*a^3*c^8*d^7 - 4*a^3*c^9*d^6 - 36*a^3*c^10*d^5 + 6*a^3*c^11*d^4 + 34*a^3*c^12*d^3 - 8*a^3*c^13*d^2 - 4*b^3*c^8*d^7 + 4*b^3*c^9*d^6 + 6*b^3*c^10*d^5 - 6*b^3*c^11*d^4 + 18*a*b^2*c^9*d^6 - 18*a*b^2*c^10*d^5 - 36*a*b^2*c^11*d^4 + 36*a*b^2*c^12*d^3 + 18*a*b^2*c^13*d^2 - 6*a^2*b*c^8*d^7 + 6*a^2*b*c^9*d^6 + 18*a^2*b*c^12*d^3 - 18*a^2*b*c^13*d^2 - 18*a*b^2*c^14*d - 12*a^2*b*c^14*d))/(c^12*d + c^13 - c^6*d^7 - c^7*d^6 + 3*c^8*d^5 + 3*c^9*d^4 - 3*c^10*d^3 - 3*c^11*d^2) + (a^3*tan(e/2 + (f*x)/2)*(8*c^15*d - 8*c^6*d^10 + 8*c^7*d^9 + 32*c^8*d^8 - 32*c^9*d^7 - 48*c^10*d^6 + 48*c^11*d^5 + 32*c^12*d^4 - 32*c^13*d^3 - 8*c^14*d^2)*8i)/(c^3*(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2)))*1i)/c^3 - (8*tan(e/2 + (f*x)/2)*(4*a^6*c^10 + 8*a^6*d^10 + b^6*c^10 - 8*a^6*c*d^9 - 8*a^6*c^9*d + 12*a^2*b^4*c^10 + 36*a^4*b^2*c^10 - 32*a^6*c^2*d^8 + 32*a^6*c^3*d^7 + 57*a^6*c^4*d^6 - 48*a^6*c^5*d^5 - 52*a^6*c^6*d^4 + 32*a^6*c^7*d^3 + 24*a^6*c^8*d^2 + 4*b^6*c^6*d^4 + 4*b^6*c^8*d^2 - 36*a*b^5*c^7*d^3 - 120*a^3*b^3*c^9*d - 12*a^5*b*c^3*d^7 + 6*a^5*b*c^5*d^5 + 24*a^5*b*c^7*d^3 + 12*a^2*b^4*c^6*d^4 + 111*a^2*b^4*c^8*d^2 - 8*a^3*b^3*c^3*d^7 + 16*a^3*b^3*c^5*d^5 - 68*a^3*b^3*c^7*d^3 + 36*a^4*b^2*c^4*d^6 - 81*a^4*b^2*c^6*d^4 + 144*a^4*b^2*c^8*d^2 - 18*a*b^5*c^9*d - 72*a^5*b*c^9*d))/(c^10*d + c^11 - c^4*d^7 - c^5*d^6 + 3*c^6*d^5 + 3*c^7*d^4 - 3*c^8*d^3 - 3*c^9*d^2))*1i)/c^3)))/(c^3*f) - ((tan(e/2 + (f*x)/2)^3*(2*a^3*d^4 + b^3*c^4 - 6*a*b^2*c^4 - a^3*c*d^3 + 4*b^3*c^3*d - 6*a^3*c^2*d^2 - 6*a*b^2*c^2*d^2 + 3*a^2*b*c^2*d^2 - 3*a*b^2*c^3*d + 12*a^2*b*c^3*d))/((c^2*d - c^3)*(c + d)^2) + (tan(e/2 + (f*x)/2)*(2*a^3*d^4 - b^3*c^4 - 6*a*b^2*c^4 + a^3*c*d^3 + 4*b^3*c^3*d - 6*a^3*c^2*d^2 - 6*a*b^2*c^2*d^2 - 3*a^2*b*c^2*d^2 + 3*a*b^2*c^3*d + 12*a^2*b*c^3*d))/((c + d)*(c^4 - 2*c^3*d + c^2*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))","B"
196,1,15647,412,16.090946,"\text{Not used}","int((a + b/cos(e + f*x))^3/(c + d/cos(e + f*x))^4,x)","\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(-12\,a^3\,c^4\,d^2-4\,a^3\,c^3\,d^3+6\,a^3\,c^2\,d^4+a^3\,c\,d^5-2\,a^3\,d^6+18\,a^2\,b\,c^5\,d+9\,a^2\,b\,c^4\,d^2+6\,a^2\,b\,c^3\,d^3-6\,a\,b^2\,c^6-6\,a\,b^2\,c^5\,d-18\,a\,b^2\,c^4\,d^2-3\,a\,b^2\,c^3\,d^3+b^3\,c^6+6\,b^3\,c^5\,d+2\,b^3\,c^4\,d^2+2\,b^3\,c^3\,d^3\right)}{\left(c^3\,d-c^4\right)\,{\left(c+d\right)}^3}+\frac{4\,{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-18\,a^3\,c^4\,d^2+11\,a^3\,c^2\,d^4-3\,a^3\,d^6+27\,a^2\,b\,c^5\,d+3\,a^2\,b\,c^3\,d^3-9\,a\,b^2\,c^6-21\,a\,b^2\,c^4\,d^2+7\,b^3\,c^5\,d+3\,b^3\,c^3\,d^3\right)}{3\,{\left(c+d\right)}^2\,\left(c^5-2\,c^4\,d+c^3\,d^2\right)}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(12\,a^3\,c^4\,d^2-4\,a^3\,c^3\,d^3-6\,a^3\,c^2\,d^4+a^3\,c\,d^5+2\,a^3\,d^6-18\,a^2\,b\,c^5\,d+9\,a^2\,b\,c^4\,d^2-6\,a^2\,b\,c^3\,d^3+6\,a\,b^2\,c^6-6\,a\,b^2\,c^5\,d+18\,a\,b^2\,c^4\,d^2-3\,a\,b^2\,c^3\,d^3+b^3\,c^6-6\,b^3\,c^5\,d+2\,b^3\,c^4\,d^2-2\,b^3\,c^3\,d^3\right)}{\left(c+d\right)\,\left(-c^6+3\,c^5\,d-3\,c^4\,d^2+c^3\,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{2\,a^3\,\mathrm{atan}\left(\frac{\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)}{c^4}-\frac{a^3\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)}{c^4}}{-\frac{16\,\left(16\,a^9\,c^{12}\,d+48\,a^9\,c^{11}\,d^2-64\,a^9\,c^{10}\,d^3-64\,a^9\,c^9\,d^4+110\,a^9\,c^8\,d^5+66\,a^9\,c^7\,d^6-110\,a^9\,c^6\,d^7-34\,a^9\,c^5\,d^8+70\,a^9\,c^4\,d^9+11\,a^9\,c^3\,d^{10}-26\,a^9\,c^2\,d^{11}-2\,a^9\,c\,d^{12}+4\,a^9\,d^{13}-12\,a^8\,b\,c^{13}-84\,a^8\,b\,c^{12}\,d+18\,a^8\,b\,c^{11}\,d^2-66\,a^8\,b\,c^{10}\,d^3+18\,a^8\,b\,c^9\,d^4+42\,a^8\,b\,c^8\,d^5-42\,a^8\,b\,c^7\,d^6-60\,a^8\,b\,c^6\,d^7+18\,a^8\,b\,c^5\,d^8+18\,a^8\,b\,c^4\,d^9+36\,a^7\,b^2\,c^{13}+24\,a^7\,b^2\,c^{12}\,d+276\,a^7\,b^2\,c^{11}\,d^2-66\,a^7\,b^2\,c^{10}\,d^3+3\,a^7\,b^2\,c^9\,d^4+54\,a^7\,b^2\,c^8\,d^5+66\,a^7\,b^2\,c^7\,d^6-6\,a^7\,b^2\,c^6\,d^7-6\,a^7\,b^2\,c^4\,d^9-6\,a^7\,b^2\,c^3\,d^{10}-2\,a^6\,b^3\,c^{13}-158\,a^6\,b^3\,c^{12}\,d-2\,a^6\,b^3\,c^{11}\,d^2-298\,a^6\,b^3\,c^{10}\,d^3+18\,a^6\,b^3\,c^9\,d^4-22\,a^6\,b^3\,c^8\,d^5-22\,a^6\,b^3\,c^7\,d^6-30\,a^6\,b^3\,c^6\,d^7+8\,a^6\,b^3\,c^5\,d^8+8\,a^6\,b^3\,c^4\,d^9+12\,a^5\,b^4\,c^{13}+210\,a^5\,b^4\,c^{11}\,d^2+144\,a^5\,b^4\,c^9\,d^4+9\,a^5\,b^4\,c^7\,d^6-24\,a^4\,b^5\,c^{12}\,d-102\,a^4\,b^5\,c^{10}\,d^3-24\,a^4\,b^5\,c^8\,d^5+a^3\,b^6\,c^{13}+8\,a^3\,b^6\,c^{11}\,d^2+16\,a^3\,b^6\,c^9\,d^4\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{a^3\,\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)\,1{}\mathrm{i}}{c^4}+\frac{a^3\,\left(-\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{a^3\,\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)\,8{}\mathrm{i}}{c^4\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,1{}\mathrm{i}}{c^4}\right)\,1{}\mathrm{i}}{c^4}}\right)}{c^4\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,1{}\mathrm{i}}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,1{}\mathrm{i}}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}}{\frac{16\,\left(16\,a^9\,c^{12}\,d+48\,a^9\,c^{11}\,d^2-64\,a^9\,c^{10}\,d^3-64\,a^9\,c^9\,d^4+110\,a^9\,c^8\,d^5+66\,a^9\,c^7\,d^6-110\,a^9\,c^6\,d^7-34\,a^9\,c^5\,d^8+70\,a^9\,c^4\,d^9+11\,a^9\,c^3\,d^{10}-26\,a^9\,c^2\,d^{11}-2\,a^9\,c\,d^{12}+4\,a^9\,d^{13}-12\,a^8\,b\,c^{13}-84\,a^8\,b\,c^{12}\,d+18\,a^8\,b\,c^{11}\,d^2-66\,a^8\,b\,c^{10}\,d^3+18\,a^8\,b\,c^9\,d^4+42\,a^8\,b\,c^8\,d^5-42\,a^8\,b\,c^7\,d^6-60\,a^8\,b\,c^6\,d^7+18\,a^8\,b\,c^5\,d^8+18\,a^8\,b\,c^4\,d^9+36\,a^7\,b^2\,c^{13}+24\,a^7\,b^2\,c^{12}\,d+276\,a^7\,b^2\,c^{11}\,d^2-66\,a^7\,b^2\,c^{10}\,d^3+3\,a^7\,b^2\,c^9\,d^4+54\,a^7\,b^2\,c^8\,d^5+66\,a^7\,b^2\,c^7\,d^6-6\,a^7\,b^2\,c^6\,d^7-6\,a^7\,b^2\,c^4\,d^9-6\,a^7\,b^2\,c^3\,d^{10}-2\,a^6\,b^3\,c^{13}-158\,a^6\,b^3\,c^{12}\,d-2\,a^6\,b^3\,c^{11}\,d^2-298\,a^6\,b^3\,c^{10}\,d^3+18\,a^6\,b^3\,c^9\,d^4-22\,a^6\,b^3\,c^8\,d^5-22\,a^6\,b^3\,c^7\,d^6-30\,a^6\,b^3\,c^6\,d^7+8\,a^6\,b^3\,c^5\,d^8+8\,a^6\,b^3\,c^4\,d^9+12\,a^5\,b^4\,c^{13}+210\,a^5\,b^4\,c^{11}\,d^2+144\,a^5\,b^4\,c^9\,d^4+9\,a^5\,b^4\,c^7\,d^6-24\,a^4\,b^5\,c^{12}\,d-102\,a^4\,b^5\,c^{10}\,d^3-24\,a^4\,b^5\,c^8\,d^5+a^3\,b^6\,c^{13}+8\,a^3\,b^6\,c^{11}\,d^2+16\,a^3\,b^6\,c^9\,d^4\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}+\frac{\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}-\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}+\frac{\left(\frac{8\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(4\,a^6\,c^{14}-8\,a^6\,c^{13}\,d+44\,a^6\,c^{12}\,d^2+48\,a^6\,c^{11}\,d^3-92\,a^6\,c^{10}\,d^4-120\,a^6\,c^9\,d^5+156\,a^6\,c^8\,d^6+160\,a^6\,c^7\,d^7-164\,a^6\,c^6\,d^8-120\,a^6\,c^5\,d^9+117\,a^6\,c^4\,d^{10}+48\,a^6\,c^3\,d^{11}-48\,a^6\,c^2\,d^{12}-8\,a^6\,c\,d^{13}+8\,a^6\,d^{14}-96\,a^5\,b\,c^{13}\,d-48\,a^5\,b\,c^{11}\,d^3+60\,a^5\,b\,c^9\,d^5-102\,a^5\,b\,c^7\,d^7+36\,a^5\,b\,c^5\,d^9+36\,a^4\,b^2\,c^{14}+300\,a^4\,b^2\,c^{12}\,d^2-63\,a^4\,b^2\,c^{10}\,d^4+120\,a^4\,b^2\,c^8\,d^6-6\,a^4\,b^2\,c^6\,d^8-12\,a^4\,b^2\,c^4\,d^{10}-160\,a^3\,b^3\,c^{13}\,d-300\,a^3\,b^3\,c^{11}\,d^3-4\,a^3\,b^3\,c^9\,d^5-52\,a^3\,b^3\,c^7\,d^7+16\,a^3\,b^3\,c^5\,d^9+12\,a^2\,b^4\,c^{14}+210\,a^2\,b^4\,c^{12}\,d^2+144\,a^2\,b^4\,c^{10}\,d^4+9\,a^2\,b^4\,c^8\,d^6-24\,a\,b^5\,c^{13}\,d-102\,a\,b^5\,c^{11}\,d^3-24\,a\,b^5\,c^9\,d^5+b^6\,c^{14}+8\,b^6\,c^{12}\,d^2+16\,b^6\,c^{10}\,d^4\right)}{c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}}-\frac{\left(\frac{8\,\left(4\,a^3\,c^{21}-16\,a^3\,c^{20}\,d-12\,a^3\,c^{19}\,d^2+64\,a^3\,c^{18}\,d^3+20\,a^3\,c^{17}\,d^4-110\,a^3\,c^{16}\,d^5-30\,a^3\,c^{15}\,d^6+110\,a^3\,c^{14}\,d^7+30\,a^3\,c^{13}\,d^8-70\,a^3\,c^{12}\,d^9-14\,a^3\,c^{11}\,d^{10}+26\,a^3\,c^{10}\,d^{11}+2\,a^3\,c^9\,d^{12}-4\,a^3\,c^8\,d^{13}+12\,a^2\,b\,c^{21}-12\,a^2\,b\,c^{20}\,d-18\,a^2\,b\,c^{19}\,d^2+18\,a^2\,b\,c^{18}\,d^3-18\,a^2\,b\,c^{17}\,d^4+18\,a^2\,b\,c^{16}\,d^5+42\,a^2\,b\,c^{15}\,d^6-42\,a^2\,b\,c^{14}\,d^7-18\,a^2\,b\,c^{13}\,d^8+18\,a^2\,b\,c^{12}\,d^9-24\,a\,b^2\,c^{20}\,d+24\,a\,b^2\,c^{19}\,d^2+66\,a\,b^2\,c^{18}\,d^3-66\,a\,b^2\,c^{17}\,d^4-54\,a\,b^2\,c^{16}\,d^5+54\,a\,b^2\,c^{15}\,d^6+6\,a\,b^2\,c^{14}\,d^7-6\,a\,b^2\,c^{13}\,d^8+6\,a\,b^2\,c^{12}\,d^9-6\,a\,b^2\,c^{11}\,d^{10}+2\,b^3\,c^{21}-2\,b^3\,c^{20}\,d+2\,b^3\,c^{19}\,d^2-2\,b^3\,c^{18}\,d^3-18\,b^3\,c^{17}\,d^4+18\,b^3\,c^{16}\,d^5+22\,b^3\,c^{15}\,d^6-22\,b^3\,c^{14}\,d^7-8\,b^3\,c^{13}\,d^8+8\,b^3\,c^{12}\,d^9\right)}{c^{20}+c^{19}\,d-5\,c^{18}\,d^2-5\,c^{17}\,d^3+10\,c^{16}\,d^4+10\,c^{15}\,d^5-10\,c^{14}\,d^6-10\,c^{13}\,d^7+5\,c^{12}\,d^8+5\,c^{11}\,d^9-c^{10}\,d^{10}-c^9\,d^{11}}+\frac{4\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,\left(8\,c^{21}\,d-8\,c^{20}\,d^2-48\,c^{19}\,d^3+48\,c^{18}\,d^4+120\,c^{17}\,d^5-120\,c^{16}\,d^6-160\,c^{15}\,d^7+160\,c^{14}\,d^8+120\,c^{13}\,d^9-120\,c^{12}\,d^{10}-48\,c^{11}\,d^{11}+48\,c^{10}\,d^{12}+8\,c^9\,d^{13}-8\,c^8\,d^{14}\right)}{\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)\,\left(c^{17}+c^{16}\,d-5\,c^{15}\,d^2-5\,c^{14}\,d^3+10\,c^{13}\,d^4+10\,c^{12}\,d^5-10\,c^{11}\,d^6-10\,c^{10}\,d^7+5\,c^9\,d^8+5\,c^8\,d^9-c^7\,d^{10}-c^6\,d^{11}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)}{2\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}}\right)\,\sqrt{{\left(c+d\right)}^7\,{\left(c-d\right)}^7}\,\left(-8\,a^3\,c^6\,d+8\,a^3\,c^4\,d^3-7\,a^3\,c^2\,d^5+2\,a^3\,d^7+6\,a^2\,b\,c^7+9\,a^2\,b\,c^5\,d^2-12\,a\,b^2\,c^6\,d-3\,a\,b^2\,c^4\,d^3+b^3\,c^7+4\,b^3\,c^5\,d^2\right)\,1{}\mathrm{i}}{f\,\left(c^{18}-7\,c^{16}\,d^2+21\,c^{14}\,d^4-35\,c^{12}\,d^6+35\,c^{10}\,d^8-21\,c^8\,d^{10}+7\,c^6\,d^{12}-c^4\,d^{14}\right)}","Not used",1,"((tan(e/2 + (f*x)/2)^5*(b^3*c^6 - 2*a^3*d^6 - 6*a*b^2*c^6 + a^3*c*d^5 + 6*b^3*c^5*d + 6*a^3*c^2*d^4 - 4*a^3*c^3*d^3 - 12*a^3*c^4*d^2 + 2*b^3*c^3*d^3 + 2*b^3*c^4*d^2 - 3*a*b^2*c^3*d^3 - 18*a*b^2*c^4*d^2 + 6*a^2*b*c^3*d^3 + 9*a^2*b*c^4*d^2 - 6*a*b^2*c^5*d + 18*a^2*b*c^5*d))/((c^3*d - c^4)*(c + d)^3) + (4*tan(e/2 + (f*x)/2)^3*(7*b^3*c^5*d - 9*a*b^2*c^6 - 3*a^3*d^6 + 11*a^3*c^2*d^4 - 18*a^3*c^4*d^2 + 3*b^3*c^3*d^3 - 21*a*b^2*c^4*d^2 + 3*a^2*b*c^3*d^3 + 27*a^2*b*c^5*d))/(3*(c + d)^2*(c^5 - 2*c^4*d + c^3*d^2)) - (tan(e/2 + (f*x)/2)*(2*a^3*d^6 + b^3*c^6 + 6*a*b^2*c^6 + a^3*c*d^5 - 6*b^3*c^5*d - 6*a^3*c^2*d^4 - 4*a^3*c^3*d^3 + 12*a^3*c^4*d^2 - 2*b^3*c^3*d^3 + 2*b^3*c^4*d^2 - 3*a*b^2*c^3*d^3 + 18*a*b^2*c^4*d^2 - 6*a^2*b*c^3*d^3 + 9*a^2*b*c^4*d^2 - 6*a*b^2*c^5*d - 18*a^2*b*c^5*d))/((c + d)*(3*c^5*d - c^6 + c^3*d^3 - 3*c^4*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))) - (2*a^3*atan(((a^3*((a^3*((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (a^3*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4 + (8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))/c^4 - (a^3*((a^3*((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (a^3*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4 - (8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))/c^4)/((a^3*((a^3*((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (a^3*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4 + (8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2))*1i)/c^4 - (16*(4*a^9*d^13 - 12*a^8*b*c^13 - 2*a^9*c*d^12 + 16*a^9*c^12*d + a^3*b^6*c^13 + 12*a^5*b^4*c^13 - 2*a^6*b^3*c^13 + 36*a^7*b^2*c^13 - 26*a^9*c^2*d^11 + 11*a^9*c^3*d^10 + 70*a^9*c^4*d^9 - 34*a^9*c^5*d^8 - 110*a^9*c^6*d^7 + 66*a^9*c^7*d^6 + 110*a^9*c^8*d^5 - 64*a^9*c^9*d^4 - 64*a^9*c^10*d^3 + 48*a^9*c^11*d^2 - 24*a^4*b^5*c^12*d - 158*a^6*b^3*c^12*d + 24*a^7*b^2*c^12*d + 18*a^8*b*c^4*d^9 + 18*a^8*b*c^5*d^8 - 60*a^8*b*c^6*d^7 - 42*a^8*b*c^7*d^6 + 42*a^8*b*c^8*d^5 + 18*a^8*b*c^9*d^4 - 66*a^8*b*c^10*d^3 + 18*a^8*b*c^11*d^2 + 16*a^3*b^6*c^9*d^4 + 8*a^3*b^6*c^11*d^2 - 24*a^4*b^5*c^8*d^5 - 102*a^4*b^5*c^10*d^3 + 9*a^5*b^4*c^7*d^6 + 144*a^5*b^4*c^9*d^4 + 210*a^5*b^4*c^11*d^2 + 8*a^6*b^3*c^4*d^9 + 8*a^6*b^3*c^5*d^8 - 30*a^6*b^3*c^6*d^7 - 22*a^6*b^3*c^7*d^6 - 22*a^6*b^3*c^8*d^5 + 18*a^6*b^3*c^9*d^4 - 298*a^6*b^3*c^10*d^3 - 2*a^6*b^3*c^11*d^2 - 6*a^7*b^2*c^3*d^10 - 6*a^7*b^2*c^4*d^9 - 6*a^7*b^2*c^6*d^7 + 66*a^7*b^2*c^7*d^6 + 54*a^7*b^2*c^8*d^5 + 3*a^7*b^2*c^9*d^4 - 66*a^7*b^2*c^10*d^3 + 276*a^7*b^2*c^11*d^2 - 84*a^8*b*c^12*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (a^3*((a^3*((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (a^3*tan(e/2 + (f*x)/2)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2)*8i)/(c^4*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*1i)/c^4 - (8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2))*1i)/c^4)))/(c^4*f) + (atan(((((8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*1i)/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*1i)/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))/((16*(4*a^9*d^13 - 12*a^8*b*c^13 - 2*a^9*c*d^12 + 16*a^9*c^12*d + a^3*b^6*c^13 + 12*a^5*b^4*c^13 - 2*a^6*b^3*c^13 + 36*a^7*b^2*c^13 - 26*a^9*c^2*d^11 + 11*a^9*c^3*d^10 + 70*a^9*c^4*d^9 - 34*a^9*c^5*d^8 - 110*a^9*c^6*d^7 + 66*a^9*c^7*d^6 + 110*a^9*c^8*d^5 - 64*a^9*c^9*d^4 - 64*a^9*c^10*d^3 + 48*a^9*c^11*d^2 - 24*a^4*b^5*c^12*d - 158*a^6*b^3*c^12*d + 24*a^7*b^2*c^12*d + 18*a^8*b*c^4*d^9 + 18*a^8*b*c^5*d^8 - 60*a^8*b*c^6*d^7 - 42*a^8*b*c^7*d^6 + 42*a^8*b*c^8*d^5 + 18*a^8*b*c^9*d^4 - 66*a^8*b*c^10*d^3 + 18*a^8*b*c^11*d^2 + 16*a^3*b^6*c^9*d^4 + 8*a^3*b^6*c^11*d^2 - 24*a^4*b^5*c^8*d^5 - 102*a^4*b^5*c^10*d^3 + 9*a^5*b^4*c^7*d^6 + 144*a^5*b^4*c^9*d^4 + 210*a^5*b^4*c^11*d^2 + 8*a^6*b^3*c^4*d^9 + 8*a^6*b^3*c^5*d^8 - 30*a^6*b^3*c^6*d^7 - 22*a^6*b^3*c^7*d^6 - 22*a^6*b^3*c^8*d^5 + 18*a^6*b^3*c^9*d^4 - 298*a^6*b^3*c^10*d^3 - 2*a^6*b^3*c^11*d^2 - 6*a^7*b^2*c^3*d^10 - 6*a^7*b^2*c^4*d^9 - 6*a^7*b^2*c^6*d^7 + 66*a^7*b^2*c^7*d^6 + 54*a^7*b^2*c^8*d^5 + 3*a^7*b^2*c^9*d^4 - 66*a^7*b^2*c^10*d^3 + 276*a^7*b^2*c^11*d^2 - 84*a^8*b*c^12*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) + (((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) - (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)) + (((8*tan(e/2 + (f*x)/2)*(4*a^6*c^14 + 8*a^6*d^14 + b^6*c^14 - 8*a^6*c*d^13 - 8*a^6*c^13*d + 12*a^2*b^4*c^14 + 36*a^4*b^2*c^14 - 48*a^6*c^2*d^12 + 48*a^6*c^3*d^11 + 117*a^6*c^4*d^10 - 120*a^6*c^5*d^9 - 164*a^6*c^6*d^8 + 160*a^6*c^7*d^7 + 156*a^6*c^8*d^6 - 120*a^6*c^9*d^5 - 92*a^6*c^10*d^4 + 48*a^6*c^11*d^3 + 44*a^6*c^12*d^2 + 16*b^6*c^10*d^4 + 8*b^6*c^12*d^2 - 24*a*b^5*c^9*d^5 - 102*a*b^5*c^11*d^3 - 160*a^3*b^3*c^13*d + 36*a^5*b*c^5*d^9 - 102*a^5*b*c^7*d^7 + 60*a^5*b*c^9*d^5 - 48*a^5*b*c^11*d^3 + 9*a^2*b^4*c^8*d^6 + 144*a^2*b^4*c^10*d^4 + 210*a^2*b^4*c^12*d^2 + 16*a^3*b^3*c^5*d^9 - 52*a^3*b^3*c^7*d^7 - 4*a^3*b^3*c^9*d^5 - 300*a^3*b^3*c^11*d^3 - 12*a^4*b^2*c^4*d^10 - 6*a^4*b^2*c^6*d^8 + 120*a^4*b^2*c^8*d^6 - 63*a^4*b^2*c^10*d^4 + 300*a^4*b^2*c^12*d^2 - 24*a*b^5*c^13*d - 96*a^5*b*c^13*d))/(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2) - (((8*(4*a^3*c^21 + 2*b^3*c^21 + 12*a^2*b*c^21 - 16*a^3*c^20*d - 2*b^3*c^20*d - 4*a^3*c^8*d^13 + 2*a^3*c^9*d^12 + 26*a^3*c^10*d^11 - 14*a^3*c^11*d^10 - 70*a^3*c^12*d^9 + 30*a^3*c^13*d^8 + 110*a^3*c^14*d^7 - 30*a^3*c^15*d^6 - 110*a^3*c^16*d^5 + 20*a^3*c^17*d^4 + 64*a^3*c^18*d^3 - 12*a^3*c^19*d^2 + 8*b^3*c^12*d^9 - 8*b^3*c^13*d^8 - 22*b^3*c^14*d^7 + 22*b^3*c^15*d^6 + 18*b^3*c^16*d^5 - 18*b^3*c^17*d^4 - 2*b^3*c^18*d^3 + 2*b^3*c^19*d^2 - 6*a*b^2*c^11*d^10 + 6*a*b^2*c^12*d^9 - 6*a*b^2*c^13*d^8 + 6*a*b^2*c^14*d^7 + 54*a*b^2*c^15*d^6 - 54*a*b^2*c^16*d^5 - 66*a*b^2*c^17*d^4 + 66*a*b^2*c^18*d^3 + 24*a*b^2*c^19*d^2 + 18*a^2*b*c^12*d^9 - 18*a^2*b*c^13*d^8 - 42*a^2*b*c^14*d^7 + 42*a^2*b*c^15*d^6 + 18*a^2*b*c^16*d^5 - 18*a^2*b*c^17*d^4 + 18*a^2*b*c^18*d^3 - 18*a^2*b*c^19*d^2 - 24*a*b^2*c^20*d - 12*a^2*b*c^20*d))/(c^19*d + c^20 - c^9*d^11 - c^10*d^10 + 5*c^11*d^9 + 5*c^12*d^8 - 10*c^13*d^7 - 10*c^14*d^6 + 10*c^15*d^5 + 10*c^16*d^4 - 5*c^17*d^3 - 5*c^18*d^2) + (4*tan(e/2 + (f*x)/2)*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*(8*c^21*d - 8*c^8*d^14 + 8*c^9*d^13 + 48*c^10*d^12 - 48*c^11*d^11 - 120*c^12*d^10 + 120*c^13*d^9 + 160*c^14*d^8 - 160*c^15*d^7 - 120*c^16*d^6 + 120*c^17*d^5 + 48*c^18*d^4 - 48*c^19*d^3 - 8*c^20*d^2))/((c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)*(c^16*d + c^17 - c^6*d^11 - c^7*d^10 + 5*c^8*d^9 + 5*c^9*d^8 - 10*c^10*d^7 - 10*c^11*d^6 + 10*c^12*d^5 + 10*c^13*d^4 - 5*c^14*d^3 - 5*c^15*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2)))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d))/(2*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2))))*((c + d)^7*(c - d)^7)^(1/2)*(2*a^3*d^7 + b^3*c^7 + 6*a^2*b*c^7 - 8*a^3*c^6*d - 7*a^3*c^2*d^5 + 8*a^3*c^4*d^3 + 4*b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 9*a^2*b*c^5*d^2 - 12*a*b^2*c^6*d)*1i)/(f*(c^18 - c^4*d^14 + 7*c^6*d^12 - 21*c^8*d^10 + 35*c^10*d^8 - 35*c^12*d^6 + 21*c^14*d^4 - 7*c^16*d^2))","B"
197,1,21021,622,16.348490,"\text{Not used}","int((a + b/cos(e + f*x))^3/(c + d/cos(e + f*x))^5,x)","-\frac{\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^7\,\left(-80\,a^3\,c^6\,d^2-40\,a^3\,c^5\,d^3+40\,a^3\,c^4\,d^4+15\,a^3\,c^3\,d^5-32\,a^3\,c^2\,d^6-4\,a^3\,c\,d^7+8\,a^3\,d^8+96\,a^2\,b\,c^7\,d+72\,a^2\,b\,c^6\,d^2+96\,a^2\,b\,c^5\,d^3+15\,a^2\,b\,c^4\,d^4-24\,a\,b^2\,c^8-36\,a\,b^2\,c^7\,d-144\,a\,b^2\,c^6\,d^2-51\,a\,b^2\,c^5\,d^3-24\,a\,b^2\,c^4\,d^4+4\,b^3\,c^8+32\,b^3\,c^7\,d+21\,b^3\,c^6\,d^2+32\,b^3\,c^5\,d^3+4\,b^3\,c^4\,d^4\right)}{4\,\left(c^4\,d-c^5\right)\,{\left(c+d\right)}^4}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(80\,a^3\,c^6\,d^2-40\,a^3\,c^5\,d^3-40\,a^3\,c^4\,d^4+15\,a^3\,c^3\,d^5+32\,a^3\,c^2\,d^6-4\,a^3\,c\,d^7-8\,a^3\,d^8-96\,a^2\,b\,c^7\,d+72\,a^2\,b\,c^6\,d^2-96\,a^2\,b\,c^5\,d^3+15\,a^2\,b\,c^4\,d^4+24\,a\,b^2\,c^8-36\,a\,b^2\,c^7\,d+144\,a\,b^2\,c^6\,d^2-51\,a\,b^2\,c^5\,d^3+24\,a\,b^2\,c^4\,d^4+4\,b^3\,c^8-32\,b^3\,c^7\,d+21\,b^3\,c^6\,d^2-32\,b^3\,c^5\,d^3+4\,b^3\,c^4\,d^4\right)}{4\,\left(c+d\right)\,\left(c^8-4\,c^7\,d+6\,c^6\,d^2-4\,c^5\,d^3+c^4\,d^4\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^5\,\left(-720\,a^3\,c^6\,d^2-120\,a^3\,c^5\,d^3+520\,a^3\,c^4\,d^4+69\,a^3\,c^3\,d^5-320\,a^3\,c^2\,d^6-12\,a^3\,c\,d^7+72\,a^3\,d^8+864\,a^2\,b\,c^7\,d+216\,a^2\,b\,c^6\,d^2+480\,a^2\,b\,c^5\,d^3-27\,a^2\,b\,c^4\,d^4-216\,a\,b^2\,c^8-108\,a\,b^2\,c^7\,d-1008\,a\,b^2\,c^6\,d^2-81\,a\,b^2\,c^5\,d^3-120\,a\,b^2\,c^4\,d^4+12\,b^3\,c^8+224\,b^3\,c^7\,d+39\,b^3\,c^6\,d^2+224\,b^3\,c^5\,d^3+12\,b^3\,c^4\,d^4\right)}{12\,{\left(c+d\right)}^3\,\left(c^6-2\,c^5\,d+c^4\,d^2\right)}+\frac{{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^3\,\left(-720\,a^3\,c^6\,d^2+120\,a^3\,c^5\,d^3+520\,a^3\,c^4\,d^4-69\,a^3\,c^3\,d^5-320\,a^3\,c^2\,d^6+12\,a^3\,c\,d^7+72\,a^3\,d^8+864\,a^2\,b\,c^7\,d-216\,a^2\,b\,c^6\,d^2+480\,a^2\,b\,c^5\,d^3+27\,a^2\,b\,c^4\,d^4-216\,a\,b^2\,c^8+108\,a\,b^2\,c^7\,d-1008\,a\,b^2\,c^6\,d^2+81\,a\,b^2\,c^5\,d^3-120\,a\,b^2\,c^4\,d^4-12\,b^3\,c^8+224\,b^3\,c^7\,d-39\,b^3\,c^6\,d^2+224\,b^3\,c^5\,d^3-12\,b^3\,c^4\,d^4\right)}{12\,{\left(c+d\right)}^2\,\left(-c^7+3\,c^6\,d-3\,c^5\,d^2+c^4\,d^3\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{2\,a^3\,\mathrm{atan}\left(-\frac{\frac{a^3\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}+\frac{a^3\,\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)\,1{}\mathrm{i}}{2\,c^5\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,1{}\mathrm{i}}{c^5}\right)}{c^5}+\frac{a^3\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}-\frac{a^3\,\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)\,1{}\mathrm{i}}{2\,c^5\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,1{}\mathrm{i}}{c^5}\right)}{c^5}}{\frac{320\,a^9\,c^{16}\,d+1280\,a^9\,c^{15}\,d^2-1600\,a^9\,c^{14}\,d^3-1600\,a^9\,c^{13}\,d^4+3704\,a^9\,c^{12}\,d^5+2936\,a^9\,c^{11}\,d^6-5504\,a^9\,c^{10}\,d^7-2416\,a^9\,c^9\,d^8+5840\,a^9\,c^8\,d^9+1649\,a^9\,c^7\,d^{10}-4320\,a^9\,c^6\,d^{11}-856\,a^9\,c^5\,d^{12}+2040\,a^9\,c^4\,d^{13}+264\,a^9\,c^3\,d^{14}-544\,a^9\,c^2\,d^{15}-32\,a^9\,c\,d^{16}+64\,a^9\,d^{17}-192\,a^8\,b\,c^{17}-1728\,a^8\,b\,c^{16}\,d+192\,a^8\,b\,c^{15}\,d^2-4032\,a^8\,b\,c^{14}\,d^3+1080\,a^8\,b\,c^{13}\,d^4+936\,a^8\,b\,c^{12}\,d^5-2400\,a^8\,b\,c^{11}\,d^6-4224\,a^8\,b\,c^{10}\,d^7+1680\,a^8\,b\,c^9\,d^8+1986\,a^8\,b\,c^8\,d^9-288\,a^8\,b\,c^7\,d^{10}-216\,a^8\,b\,c^6\,d^{11}-72\,a^8\,b\,c^5\,d^{12}-72\,a^8\,b\,c^4\,d^{13}+576\,a^7\,b^2\,c^{17}+480\,a^7\,b^2\,c^{16}\,d+7776\,a^7\,b^2\,c^{15}\,d^2-1560\,a^7\,b^2\,c^{14}\,d^3+5976\,a^7\,b^2\,c^{13}\,d^4+1440\,a^7\,b^2\,c^{12}\,d^5+3816\,a^7\,b^2\,c^{11}\,d^6+240\,a^7\,b^2\,c^{10}\,d^7+1191\,a^7\,b^2\,c^9\,d^8-960\,a^7\,b^2\,c^8\,d^9-1320\,a^7\,b^2\,c^7\,d^{10}+360\,a^7\,b^2\,c^6\,d^{11}+360\,a^7\,b^2\,c^5\,d^{12}-32\,a^6\,b^3\,c^{17}-3168\,a^6\,b^3\,c^{16}\,d-88\,a^6\,b^3\,c^{15}\,d^2-12552\,a^6\,b^3\,c^{14}\,d^3+640\,a^6\,b^3\,c^{13}\,d^4-6864\,a^6\,b^3\,c^{12}\,d^5-1040\,a^6\,b^3\,c^{11}\,d^6-2564\,a^6\,b^3\,c^{10}\,d^7+640\,a^6\,b^3\,c^9\,d^8+736\,a^6\,b^3\,c^8\,d^9-88\,a^6\,b^3\,c^7\,d^{10}-56\,a^6\,b^3\,c^6\,d^{11}-32\,a^6\,b^3\,c^5\,d^{12}-32\,a^6\,b^3\,c^4\,d^{13}+192\,a^5\,b^4\,c^{17}+5472\,a^5\,b^4\,c^{15}\,d^2+9552\,a^5\,b^4\,c^{13}\,d^4+3087\,a^5\,b^4\,c^{11}\,d^6+72\,a^5\,b^4\,c^9\,d^8-480\,a^4\,b^5\,c^{16}\,d-3600\,a^4\,b^5\,c^{14}\,d^3-2910\,a^4\,b^5\,c^{12}\,d^5-360\,a^4\,b^5\,c^{10}\,d^7+16\,a^3\,b^6\,c^{17}+216\,a^3\,b^6\,c^{15}\,d^2+761\,a^3\,b^6\,c^{13}\,d^4+216\,a^3\,b^6\,c^{11}\,d^6+16\,a^3\,b^6\,c^9\,d^8}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{a^3\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}+\frac{a^3\,\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)\,1{}\mathrm{i}}{2\,c^5\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,1{}\mathrm{i}}{c^5}\right)\,1{}\mathrm{i}}{c^5}+\frac{a^3\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}-\frac{a^3\,\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}+\frac{a^3\,\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)\,1{}\mathrm{i}}{2\,c^5\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,1{}\mathrm{i}}{c^5}\right)\,1{}\mathrm{i}}{c^5}}\right)}{c^5\,f}+\frac{\mathrm{atan}\left(\frac{\frac{\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}+\frac{\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)}{16\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}\right)\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,1{}\mathrm{i}}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}+\frac{\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}-\frac{\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)}{16\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}\right)\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,1{}\mathrm{i}}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}}{\frac{320\,a^9\,c^{16}\,d+1280\,a^9\,c^{15}\,d^2-1600\,a^9\,c^{14}\,d^3-1600\,a^9\,c^{13}\,d^4+3704\,a^9\,c^{12}\,d^5+2936\,a^9\,c^{11}\,d^6-5504\,a^9\,c^{10}\,d^7-2416\,a^9\,c^9\,d^8+5840\,a^9\,c^8\,d^9+1649\,a^9\,c^7\,d^{10}-4320\,a^9\,c^6\,d^{11}-856\,a^9\,c^5\,d^{12}+2040\,a^9\,c^4\,d^{13}+264\,a^9\,c^3\,d^{14}-544\,a^9\,c^2\,d^{15}-32\,a^9\,c\,d^{16}+64\,a^9\,d^{17}-192\,a^8\,b\,c^{17}-1728\,a^8\,b\,c^{16}\,d+192\,a^8\,b\,c^{15}\,d^2-4032\,a^8\,b\,c^{14}\,d^3+1080\,a^8\,b\,c^{13}\,d^4+936\,a^8\,b\,c^{12}\,d^5-2400\,a^8\,b\,c^{11}\,d^6-4224\,a^8\,b\,c^{10}\,d^7+1680\,a^8\,b\,c^9\,d^8+1986\,a^8\,b\,c^8\,d^9-288\,a^8\,b\,c^7\,d^{10}-216\,a^8\,b\,c^6\,d^{11}-72\,a^8\,b\,c^5\,d^{12}-72\,a^8\,b\,c^4\,d^{13}+576\,a^7\,b^2\,c^{17}+480\,a^7\,b^2\,c^{16}\,d+7776\,a^7\,b^2\,c^{15}\,d^2-1560\,a^7\,b^2\,c^{14}\,d^3+5976\,a^7\,b^2\,c^{13}\,d^4+1440\,a^7\,b^2\,c^{12}\,d^5+3816\,a^7\,b^2\,c^{11}\,d^6+240\,a^7\,b^2\,c^{10}\,d^7+1191\,a^7\,b^2\,c^9\,d^8-960\,a^7\,b^2\,c^8\,d^9-1320\,a^7\,b^2\,c^7\,d^{10}+360\,a^7\,b^2\,c^6\,d^{11}+360\,a^7\,b^2\,c^5\,d^{12}-32\,a^6\,b^3\,c^{17}-3168\,a^6\,b^3\,c^{16}\,d-88\,a^6\,b^3\,c^{15}\,d^2-12552\,a^6\,b^3\,c^{14}\,d^3+640\,a^6\,b^3\,c^{13}\,d^4-6864\,a^6\,b^3\,c^{12}\,d^5-1040\,a^6\,b^3\,c^{11}\,d^6-2564\,a^6\,b^3\,c^{10}\,d^7+640\,a^6\,b^3\,c^9\,d^8+736\,a^6\,b^3\,c^8\,d^9-88\,a^6\,b^3\,c^7\,d^{10}-56\,a^6\,b^3\,c^6\,d^{11}-32\,a^6\,b^3\,c^5\,d^{12}-32\,a^6\,b^3\,c^4\,d^{13}+192\,a^5\,b^4\,c^{17}+5472\,a^5\,b^4\,c^{15}\,d^2+9552\,a^5\,b^4\,c^{13}\,d^4+3087\,a^5\,b^4\,c^{11}\,d^6+72\,a^5\,b^4\,c^9\,d^8-480\,a^4\,b^5\,c^{16}\,d-3600\,a^4\,b^5\,c^{14}\,d^3-2910\,a^4\,b^5\,c^{12}\,d^5-360\,a^4\,b^5\,c^{10}\,d^7+16\,a^3\,b^6\,c^{17}+216\,a^3\,b^6\,c^{15}\,d^2+761\,a^3\,b^6\,c^{13}\,d^4+216\,a^3\,b^6\,c^{11}\,d^6+16\,a^3\,b^6\,c^9\,d^8}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}+\frac{\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}-\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)}{16\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}\right)\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}+\frac{\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\left(64\,a^6\,c^{18}-128\,a^6\,c^{17}\,d+1152\,a^6\,c^{16}\,d^2+1024\,a^6\,c^{15}\,d^3-1920\,a^6\,c^{14}\,d^4-3584\,a^6\,c^{13}\,d^5+4848\,a^6\,c^{12}\,d^6+7168\,a^6\,c^{11}\,d^7-7024\,a^6\,c^{10}\,d^8-8960\,a^6\,c^9\,d^9+8385\,a^6\,c^8\,d^{10}+7168\,a^6\,c^7\,d^{11}-6968\,a^6\,c^6\,d^{12}-3584\,a^6\,c^5\,d^{13}+3584\,a^6\,c^4\,d^{14}+1024\,a^6\,c^3\,d^{15}-1024\,a^6\,c^2\,d^{16}-128\,a^6\,c\,d^{17}+128\,a^6\,d^{18}-1920\,a^5\,b\,c^{17}\,d-3840\,a^5\,b\,c^{15}\,d^3+2016\,a^5\,b\,c^{13}\,d^5-6624\,a^5\,b\,c^{11}\,d^7+3666\,a^5\,b\,c^9\,d^9-504\,a^5\,b\,c^7\,d^{11}-144\,a^5\,b\,c^5\,d^{13}+576\,a^4\,b^2\,c^{18}+8256\,a^4\,b^2\,c^{16}\,d^2+4416\,a^4\,b^2\,c^{14}\,d^4+5256\,a^4\,b^2\,c^{12}\,d^6+1431\,a^4\,b^2\,c^{10}\,d^8-2280\,a^4\,b^2\,c^8\,d^{10}+720\,a^4\,b^2\,c^6\,d^{12}-3200\,a^3\,b^3\,c^{17}\,d-12640\,a^3\,b^3\,c^{15}\,d^3-6224\,a^3\,b^3\,c^{13}\,d^5-3604\,a^3\,b^3\,c^{11}\,d^7+1376\,a^3\,b^3\,c^9\,d^9-144\,a^3\,b^3\,c^7\,d^{11}-64\,a^3\,b^3\,c^5\,d^{13}+192\,a^2\,b^4\,c^{18}+5472\,a^2\,b^4\,c^{16}\,d^2+9552\,a^2\,b^4\,c^{14}\,d^4+3087\,a^2\,b^4\,c^{12}\,d^6+72\,a^2\,b^4\,c^{10}\,d^8-480\,a\,b^5\,c^{17}\,d-3600\,a\,b^5\,c^{15}\,d^3-2910\,a\,b^5\,c^{13}\,d^5-360\,a\,b^5\,c^{11}\,d^7+16\,b^6\,c^{18}+216\,b^6\,c^{16}\,d^2+761\,b^6\,c^{14}\,d^4+216\,b^6\,c^{12}\,d^6+16\,b^6\,c^{10}\,d^8\right)}{2\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}-\frac{\left(\frac{32\,a^3\,c^{27}-160\,a^3\,c^{26}\,d-128\,a^3\,c^{25}\,d^2+800\,a^3\,c^{24}\,d^3+352\,a^3\,c^{23}\,d^4-1852\,a^3\,c^{22}\,d^5-836\,a^3\,c^{21}\,d^6+2752\,a^3\,c^{20}\,d^7+1280\,a^3\,c^{19}\,d^8-2920\,a^3\,c^{18}\,d^9-1112\,a^3\,c^{17}\,d^{10}+2160\,a^3\,c^{16}\,d^{11}+528\,a^3\,c^{15}\,d^{12}-1020\,a^3\,c^{14}\,d^{13}-132\,a^3\,c^{13}\,d^{14}+272\,a^3\,c^{12}\,d^{15}+16\,a^3\,c^{11}\,d^{16}-32\,a^3\,c^{10}\,d^{17}+96\,a^2\,b\,c^{27}-96\,a^2\,b\,c^{26}\,d-96\,a^2\,b\,c^{25}\,d^2+96\,a^2\,b\,c^{24}\,d^3-540\,a^2\,b\,c^{23}\,d^4+540\,a^2\,b\,c^{22}\,d^5+1200\,a^2\,b\,c^{21}\,d^6-1200\,a^2\,b\,c^{20}\,d^7-840\,a^2\,b\,c^{19}\,d^8+840\,a^2\,b\,c^{18}\,d^9+144\,a^2\,b\,c^{17}\,d^{10}-144\,a^2\,b\,c^{16}\,d^{11}+36\,a^2\,b\,c^{15}\,d^{12}-36\,a^2\,b\,c^{14}\,d^{13}-240\,a\,b^2\,c^{26}\,d+240\,a\,b^2\,c^{25}\,d^2+780\,a\,b^2\,c^{24}\,d^3-780\,a\,b^2\,c^{23}\,d^4-720\,a\,b^2\,c^{22}\,d^5+720\,a\,b^2\,c^{21}\,d^6-120\,a\,b^2\,c^{20}\,d^7+120\,a\,b^2\,c^{19}\,d^8+480\,a\,b^2\,c^{18}\,d^9-480\,a\,b^2\,c^{17}\,d^{10}-180\,a\,b^2\,c^{16}\,d^{11}+180\,a\,b^2\,c^{15}\,d^{12}+16\,b^3\,c^{27}-16\,b^3\,c^{26}\,d+44\,b^3\,c^{25}\,d^2-44\,b^3\,c^{24}\,d^3-320\,b^3\,c^{23}\,d^4+320\,b^3\,c^{22}\,d^5+520\,b^3\,c^{21}\,d^6-520\,b^3\,c^{20}\,d^7-320\,b^3\,c^{19}\,d^8+320\,b^3\,c^{18}\,d^9+44\,b^3\,c^{17}\,d^{10}-44\,b^3\,c^{16}\,d^{11}+16\,b^3\,c^{15}\,d^{12}-16\,b^3\,c^{14}\,d^{13}}{c^{27}+c^{26}\,d-7\,c^{25}\,d^2-7\,c^{24}\,d^3+21\,c^{23}\,d^4+21\,c^{22}\,d^5-35\,c^{21}\,d^6-35\,c^{20}\,d^7+35\,c^{19}\,d^8+35\,c^{18}\,d^9-21\,c^{17}\,d^{10}-21\,c^{16}\,d^{11}+7\,c^{15}\,d^{12}+7\,c^{14}\,d^{13}-c^{13}\,d^{14}-c^{12}\,d^{15}}+\frac{\mathrm{tan}\left(\frac{e}{2}+\frac{f\,x}{2}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,\left(128\,c^{27}\,d-128\,c^{26}\,d^2-1024\,c^{25}\,d^3+1024\,c^{24}\,d^4+3584\,c^{23}\,d^5-3584\,c^{22}\,d^6-7168\,c^{21}\,d^7+7168\,c^{20}\,d^8+8960\,c^{19}\,d^9-8960\,c^{18}\,d^{10}-7168\,c^{17}\,d^{11}+7168\,c^{16}\,d^{12}+3584\,c^{15}\,d^{13}-3584\,c^{14}\,d^{14}-1024\,c^{13}\,d^{15}+1024\,c^{12}\,d^{16}+128\,c^{11}\,d^{17}-128\,c^{10}\,d^{18}\right)}{16\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)\,\left(c^{23}+c^{22}\,d-7\,c^{21}\,d^2-7\,c^{20}\,d^3+21\,c^{19}\,d^4+21\,c^{18}\,d^5-35\,c^{17}\,d^6-35\,c^{16}\,d^7+35\,c^{15}\,d^8+35\,c^{14}\,d^9-21\,c^{13}\,d^{10}-21\,c^{12}\,d^{11}+7\,c^{11}\,d^{12}+7\,c^{10}\,d^{13}-c^9\,d^{14}-c^8\,d^{15}\right)}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}\right)\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)}{8\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}}\right)\,\sqrt{{\left(c+d\right)}^9\,{\left(c-d\right)}^9}\,\left(-40\,a^3\,c^8\,d+40\,a^3\,c^6\,d^3-63\,a^3\,c^4\,d^5+36\,a^3\,c^2\,d^7-8\,a^3\,d^9+24\,a^2\,b\,c^9+72\,a^2\,b\,c^7\,d^2+9\,a^2\,b\,c^5\,d^4-60\,a\,b^2\,c^8\,d-45\,a\,b^2\,c^6\,d^3+4\,b^3\,c^9+27\,b^3\,c^7\,d^2+4\,b^3\,c^5\,d^4\right)\,1{}\mathrm{i}}{4\,f\,\left(c^{23}-9\,c^{21}\,d^2+36\,c^{19}\,d^4-84\,c^{17}\,d^6+126\,c^{15}\,d^8-126\,c^{13}\,d^{10}+84\,c^{11}\,d^{12}-36\,c^9\,d^{14}+9\,c^7\,d^{16}-c^5\,d^{18}\right)}","Not used",1,"(atan(((((c + d)^9*(c - d)^9)^(1/2)*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) + (((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (tan(e/2 + (f*x)/2)*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2))/(16*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)))*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*1i)/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)) + (((c + d)^9*(c - d)^9)^(1/2)*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) - (((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) + (tan(e/2 + (f*x)/2)*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2))/(16*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)))*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*1i)/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)))/((64*a^9*d^17 - 192*a^8*b*c^17 - 32*a^9*c*d^16 + 320*a^9*c^16*d + 16*a^3*b^6*c^17 + 192*a^5*b^4*c^17 - 32*a^6*b^3*c^17 + 576*a^7*b^2*c^17 - 544*a^9*c^2*d^15 + 264*a^9*c^3*d^14 + 2040*a^9*c^4*d^13 - 856*a^9*c^5*d^12 - 4320*a^9*c^6*d^11 + 1649*a^9*c^7*d^10 + 5840*a^9*c^8*d^9 - 2416*a^9*c^9*d^8 - 5504*a^9*c^10*d^7 + 2936*a^9*c^11*d^6 + 3704*a^9*c^12*d^5 - 1600*a^9*c^13*d^4 - 1600*a^9*c^14*d^3 + 1280*a^9*c^15*d^2 - 480*a^4*b^5*c^16*d - 3168*a^6*b^3*c^16*d + 480*a^7*b^2*c^16*d - 72*a^8*b*c^4*d^13 - 72*a^8*b*c^5*d^12 - 216*a^8*b*c^6*d^11 - 288*a^8*b*c^7*d^10 + 1986*a^8*b*c^8*d^9 + 1680*a^8*b*c^9*d^8 - 4224*a^8*b*c^10*d^7 - 2400*a^8*b*c^11*d^6 + 936*a^8*b*c^12*d^5 + 1080*a^8*b*c^13*d^4 - 4032*a^8*b*c^14*d^3 + 192*a^8*b*c^15*d^2 + 16*a^3*b^6*c^9*d^8 + 216*a^3*b^6*c^11*d^6 + 761*a^3*b^6*c^13*d^4 + 216*a^3*b^6*c^15*d^2 - 360*a^4*b^5*c^10*d^7 - 2910*a^4*b^5*c^12*d^5 - 3600*a^4*b^5*c^14*d^3 + 72*a^5*b^4*c^9*d^8 + 3087*a^5*b^4*c^11*d^6 + 9552*a^5*b^4*c^13*d^4 + 5472*a^5*b^4*c^15*d^2 - 32*a^6*b^3*c^4*d^13 - 32*a^6*b^3*c^5*d^12 - 56*a^6*b^3*c^6*d^11 - 88*a^6*b^3*c^7*d^10 + 736*a^6*b^3*c^8*d^9 + 640*a^6*b^3*c^9*d^8 - 2564*a^6*b^3*c^10*d^7 - 1040*a^6*b^3*c^11*d^6 - 6864*a^6*b^3*c^12*d^5 + 640*a^6*b^3*c^13*d^4 - 12552*a^6*b^3*c^14*d^3 - 88*a^6*b^3*c^15*d^2 + 360*a^7*b^2*c^5*d^12 + 360*a^7*b^2*c^6*d^11 - 1320*a^7*b^2*c^7*d^10 - 960*a^7*b^2*c^8*d^9 + 1191*a^7*b^2*c^9*d^8 + 240*a^7*b^2*c^10*d^7 + 3816*a^7*b^2*c^11*d^6 + 1440*a^7*b^2*c^12*d^5 + 5976*a^7*b^2*c^13*d^4 - 1560*a^7*b^2*c^14*d^3 + 7776*a^7*b^2*c^15*d^2 - 1728*a^8*b*c^16*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (((c + d)^9*(c - d)^9)^(1/2)*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) + (((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (tan(e/2 + (f*x)/2)*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2))/(16*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)))*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)) + (((c + d)^9*(c - d)^9)^(1/2)*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) - (((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) + (tan(e/2 + (f*x)/2)*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2))/(16*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)))*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d))/(8*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2))))*((c + d)^9*(c - d)^9)^(1/2)*(4*b^3*c^9 - 8*a^3*d^9 + 24*a^2*b*c^9 - 40*a^3*c^8*d + 36*a^3*c^2*d^7 - 63*a^3*c^4*d^5 + 40*a^3*c^6*d^3 + 4*b^3*c^5*d^4 + 27*b^3*c^7*d^2 - 45*a*b^2*c^6*d^3 + 9*a^2*b*c^5*d^4 + 72*a^2*b*c^7*d^2 - 60*a*b^2*c^8*d)*1i)/(4*f*(c^23 - c^5*d^18 + 9*c^7*d^16 - 36*c^9*d^14 + 84*c^11*d^12 - 126*c^13*d^10 + 126*c^15*d^8 - 84*c^17*d^6 + 36*c^19*d^4 - 9*c^21*d^2)) - (2*a^3*atan(-((a^3*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) + (a^3*((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (a^3*tan(e/2 + (f*x)/2)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2)*1i)/(2*c^5*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*1i)/c^5))/c^5 + (a^3*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) - (a^3*((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) + (a^3*tan(e/2 + (f*x)/2)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2)*1i)/(2*c^5*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*1i)/c^5))/c^5)/((64*a^9*d^17 - 192*a^8*b*c^17 - 32*a^9*c*d^16 + 320*a^9*c^16*d + 16*a^3*b^6*c^17 + 192*a^5*b^4*c^17 - 32*a^6*b^3*c^17 + 576*a^7*b^2*c^17 - 544*a^9*c^2*d^15 + 264*a^9*c^3*d^14 + 2040*a^9*c^4*d^13 - 856*a^9*c^5*d^12 - 4320*a^9*c^6*d^11 + 1649*a^9*c^7*d^10 + 5840*a^9*c^8*d^9 - 2416*a^9*c^9*d^8 - 5504*a^9*c^10*d^7 + 2936*a^9*c^11*d^6 + 3704*a^9*c^12*d^5 - 1600*a^9*c^13*d^4 - 1600*a^9*c^14*d^3 + 1280*a^9*c^15*d^2 - 480*a^4*b^5*c^16*d - 3168*a^6*b^3*c^16*d + 480*a^7*b^2*c^16*d - 72*a^8*b*c^4*d^13 - 72*a^8*b*c^5*d^12 - 216*a^8*b*c^6*d^11 - 288*a^8*b*c^7*d^10 + 1986*a^8*b*c^8*d^9 + 1680*a^8*b*c^9*d^8 - 4224*a^8*b*c^10*d^7 - 2400*a^8*b*c^11*d^6 + 936*a^8*b*c^12*d^5 + 1080*a^8*b*c^13*d^4 - 4032*a^8*b*c^14*d^3 + 192*a^8*b*c^15*d^2 + 16*a^3*b^6*c^9*d^8 + 216*a^3*b^6*c^11*d^6 + 761*a^3*b^6*c^13*d^4 + 216*a^3*b^6*c^15*d^2 - 360*a^4*b^5*c^10*d^7 - 2910*a^4*b^5*c^12*d^5 - 3600*a^4*b^5*c^14*d^3 + 72*a^5*b^4*c^9*d^8 + 3087*a^5*b^4*c^11*d^6 + 9552*a^5*b^4*c^13*d^4 + 5472*a^5*b^4*c^15*d^2 - 32*a^6*b^3*c^4*d^13 - 32*a^6*b^3*c^5*d^12 - 56*a^6*b^3*c^6*d^11 - 88*a^6*b^3*c^7*d^10 + 736*a^6*b^3*c^8*d^9 + 640*a^6*b^3*c^9*d^8 - 2564*a^6*b^3*c^10*d^7 - 1040*a^6*b^3*c^11*d^6 - 6864*a^6*b^3*c^12*d^5 + 640*a^6*b^3*c^13*d^4 - 12552*a^6*b^3*c^14*d^3 - 88*a^6*b^3*c^15*d^2 + 360*a^7*b^2*c^5*d^12 + 360*a^7*b^2*c^6*d^11 - 1320*a^7*b^2*c^7*d^10 - 960*a^7*b^2*c^8*d^9 + 1191*a^7*b^2*c^9*d^8 + 240*a^7*b^2*c^10*d^7 + 3816*a^7*b^2*c^11*d^6 + 1440*a^7*b^2*c^12*d^5 + 5976*a^7*b^2*c^13*d^4 - 1560*a^7*b^2*c^14*d^3 + 7776*a^7*b^2*c^15*d^2 - 1728*a^8*b*c^16*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (a^3*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) + (a^3*((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) - (a^3*tan(e/2 + (f*x)/2)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2)*1i)/(2*c^5*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*1i)/c^5)*1i)/c^5 + (a^3*((tan(e/2 + (f*x)/2)*(64*a^6*c^18 + 128*a^6*d^18 + 16*b^6*c^18 - 128*a^6*c*d^17 - 128*a^6*c^17*d + 192*a^2*b^4*c^18 + 576*a^4*b^2*c^18 - 1024*a^6*c^2*d^16 + 1024*a^6*c^3*d^15 + 3584*a^6*c^4*d^14 - 3584*a^6*c^5*d^13 - 6968*a^6*c^6*d^12 + 7168*a^6*c^7*d^11 + 8385*a^6*c^8*d^10 - 8960*a^6*c^9*d^9 - 7024*a^6*c^10*d^8 + 7168*a^6*c^11*d^7 + 4848*a^6*c^12*d^6 - 3584*a^6*c^13*d^5 - 1920*a^6*c^14*d^4 + 1024*a^6*c^15*d^3 + 1152*a^6*c^16*d^2 + 16*b^6*c^10*d^8 + 216*b^6*c^12*d^6 + 761*b^6*c^14*d^4 + 216*b^6*c^16*d^2 - 360*a*b^5*c^11*d^7 - 2910*a*b^5*c^13*d^5 - 3600*a*b^5*c^15*d^3 - 3200*a^3*b^3*c^17*d - 144*a^5*b*c^5*d^13 - 504*a^5*b*c^7*d^11 + 3666*a^5*b*c^9*d^9 - 6624*a^5*b*c^11*d^7 + 2016*a^5*b*c^13*d^5 - 3840*a^5*b*c^15*d^3 + 72*a^2*b^4*c^10*d^8 + 3087*a^2*b^4*c^12*d^6 + 9552*a^2*b^4*c^14*d^4 + 5472*a^2*b^4*c^16*d^2 - 64*a^3*b^3*c^5*d^13 - 144*a^3*b^3*c^7*d^11 + 1376*a^3*b^3*c^9*d^9 - 3604*a^3*b^3*c^11*d^7 - 6224*a^3*b^3*c^13*d^5 - 12640*a^3*b^3*c^15*d^3 + 720*a^4*b^2*c^6*d^12 - 2280*a^4*b^2*c^8*d^10 + 1431*a^4*b^2*c^10*d^8 + 5256*a^4*b^2*c^12*d^6 + 4416*a^4*b^2*c^14*d^4 + 8256*a^4*b^2*c^16*d^2 - 480*a*b^5*c^17*d - 1920*a^5*b*c^17*d))/(2*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)) - (a^3*((32*a^3*c^27 + 16*b^3*c^27 + 96*a^2*b*c^27 - 160*a^3*c^26*d - 16*b^3*c^26*d - 32*a^3*c^10*d^17 + 16*a^3*c^11*d^16 + 272*a^3*c^12*d^15 - 132*a^3*c^13*d^14 - 1020*a^3*c^14*d^13 + 528*a^3*c^15*d^12 + 2160*a^3*c^16*d^11 - 1112*a^3*c^17*d^10 - 2920*a^3*c^18*d^9 + 1280*a^3*c^19*d^8 + 2752*a^3*c^20*d^7 - 836*a^3*c^21*d^6 - 1852*a^3*c^22*d^5 + 352*a^3*c^23*d^4 + 800*a^3*c^24*d^3 - 128*a^3*c^25*d^2 - 16*b^3*c^14*d^13 + 16*b^3*c^15*d^12 - 44*b^3*c^16*d^11 + 44*b^3*c^17*d^10 + 320*b^3*c^18*d^9 - 320*b^3*c^19*d^8 - 520*b^3*c^20*d^7 + 520*b^3*c^21*d^6 + 320*b^3*c^22*d^5 - 320*b^3*c^23*d^4 - 44*b^3*c^24*d^3 + 44*b^3*c^25*d^2 + 180*a*b^2*c^15*d^12 - 180*a*b^2*c^16*d^11 - 480*a*b^2*c^17*d^10 + 480*a*b^2*c^18*d^9 + 120*a*b^2*c^19*d^8 - 120*a*b^2*c^20*d^7 + 720*a*b^2*c^21*d^6 - 720*a*b^2*c^22*d^5 - 780*a*b^2*c^23*d^4 + 780*a*b^2*c^24*d^3 + 240*a*b^2*c^25*d^2 - 36*a^2*b*c^14*d^13 + 36*a^2*b*c^15*d^12 - 144*a^2*b*c^16*d^11 + 144*a^2*b*c^17*d^10 + 840*a^2*b*c^18*d^9 - 840*a^2*b*c^19*d^8 - 1200*a^2*b*c^20*d^7 + 1200*a^2*b*c^21*d^6 + 540*a^2*b*c^22*d^5 - 540*a^2*b*c^23*d^4 + 96*a^2*b*c^24*d^3 - 96*a^2*b*c^25*d^2 - 240*a*b^2*c^26*d - 96*a^2*b*c^26*d)/(c^26*d + c^27 - c^12*d^15 - c^13*d^14 + 7*c^14*d^13 + 7*c^15*d^12 - 21*c^16*d^11 - 21*c^17*d^10 + 35*c^18*d^9 + 35*c^19*d^8 - 35*c^20*d^7 - 35*c^21*d^6 + 21*c^22*d^5 + 21*c^23*d^4 - 7*c^24*d^3 - 7*c^25*d^2) + (a^3*tan(e/2 + (f*x)/2)*(128*c^27*d - 128*c^10*d^18 + 128*c^11*d^17 + 1024*c^12*d^16 - 1024*c^13*d^15 - 3584*c^14*d^14 + 3584*c^15*d^13 + 7168*c^16*d^12 - 7168*c^17*d^11 - 8960*c^18*d^10 + 8960*c^19*d^9 + 7168*c^20*d^8 - 7168*c^21*d^7 - 3584*c^22*d^6 + 3584*c^23*d^5 + 1024*c^24*d^4 - 1024*c^25*d^3 - 128*c^26*d^2)*1i)/(2*c^5*(c^22*d + c^23 - c^8*d^15 - c^9*d^14 + 7*c^10*d^13 + 7*c^11*d^12 - 21*c^12*d^11 - 21*c^13*d^10 + 35*c^14*d^9 + 35*c^15*d^8 - 35*c^16*d^7 - 35*c^17*d^6 + 21*c^18*d^5 + 21*c^19*d^4 - 7*c^20*d^3 - 7*c^21*d^2)))*1i)/c^5)*1i)/c^5)))/(c^5*f) - ((tan(e/2 + (f*x)/2)^7*(8*a^3*d^8 + 4*b^3*c^8 - 24*a*b^2*c^8 - 4*a^3*c*d^7 + 32*b^3*c^7*d - 32*a^3*c^2*d^6 + 15*a^3*c^3*d^5 + 40*a^3*c^4*d^4 - 40*a^3*c^5*d^3 - 80*a^3*c^6*d^2 + 4*b^3*c^4*d^4 + 32*b^3*c^5*d^3 + 21*b^3*c^6*d^2 - 24*a*b^2*c^4*d^4 - 51*a*b^2*c^5*d^3 - 144*a*b^2*c^6*d^2 + 15*a^2*b*c^4*d^4 + 96*a^2*b*c^5*d^3 + 72*a^2*b*c^6*d^2 - 36*a*b^2*c^7*d + 96*a^2*b*c^7*d))/(4*(c^4*d - c^5)*(c + d)^4) - (tan(e/2 + (f*x)/2)*(4*b^3*c^8 - 8*a^3*d^8 + 24*a*b^2*c^8 - 4*a^3*c*d^7 - 32*b^3*c^7*d + 32*a^3*c^2*d^6 + 15*a^3*c^3*d^5 - 40*a^3*c^4*d^4 - 40*a^3*c^5*d^3 + 80*a^3*c^6*d^2 + 4*b^3*c^4*d^4 - 32*b^3*c^5*d^3 + 21*b^3*c^6*d^2 + 24*a*b^2*c^4*d^4 - 51*a*b^2*c^5*d^3 + 144*a*b^2*c^6*d^2 + 15*a^2*b*c^4*d^4 - 96*a^2*b*c^5*d^3 + 72*a^2*b*c^6*d^2 - 36*a*b^2*c^7*d - 96*a^2*b*c^7*d))/(4*(c + d)*(c^8 - 4*c^7*d + c^4*d^4 - 4*c^5*d^3 + 6*c^6*d^2)) + (tan(e/2 + (f*x)/2)^5*(72*a^3*d^8 + 12*b^3*c^8 - 216*a*b^2*c^8 - 12*a^3*c*d^7 + 224*b^3*c^7*d - 320*a^3*c^2*d^6 + 69*a^3*c^3*d^5 + 520*a^3*c^4*d^4 - 120*a^3*c^5*d^3 - 720*a^3*c^6*d^2 + 12*b^3*c^4*d^4 + 224*b^3*c^5*d^3 + 39*b^3*c^6*d^2 - 120*a*b^2*c^4*d^4 - 81*a*b^2*c^5*d^3 - 1008*a*b^2*c^6*d^2 - 27*a^2*b*c^4*d^4 + 480*a^2*b*c^5*d^3 + 216*a^2*b*c^6*d^2 - 108*a*b^2*c^7*d + 864*a^2*b*c^7*d))/(12*(c + d)^3*(c^6 - 2*c^5*d + c^4*d^2)) + (tan(e/2 + (f*x)/2)^3*(72*a^3*d^8 - 12*b^3*c^8 - 216*a*b^2*c^8 + 12*a^3*c*d^7 + 224*b^3*c^7*d - 320*a^3*c^2*d^6 - 69*a^3*c^3*d^5 + 520*a^3*c^4*d^4 + 120*a^3*c^5*d^3 - 720*a^3*c^6*d^2 - 12*b^3*c^4*d^4 + 224*b^3*c^5*d^3 - 39*b^3*c^6*d^2 - 120*a*b^2*c^4*d^4 + 81*a*b^2*c^5*d^3 - 1008*a*b^2*c^6*d^2 + 27*a^2*b*c^4*d^4 + 480*a^2*b*c^5*d^3 - 216*a^2*b*c^6*d^2 + 108*a*b^2*c^7*d + 864*a^2*b*c^7*d))/(12*(c + d)^2*(3*c^6*d - c^7 + c^4*d^3 - 3*c^5*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))","B"
198,0,-1,320,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x)),x)","\int \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((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x)), x)","F"
199,0,-1,220,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x)),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{c+\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x)), x)","F"
200,0,-1,380,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x)),x)","\int {\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + b/cos(e + f*x))^(3/2)*(c + d/cos(e + f*x)), x)","F"
201,0,-1,326,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x)),x)","\int \frac{{\left(a+\frac{b}{\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))^(3/2)/(c + d/cos(e + f*x)), x)","F"
202,0,-1,442,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x)),x)","\int {\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((a + b/cos(e + f*x))^(5/2)*(c + d/cos(e + f*x)), x)","F"
203,0,-1,208,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(1/2),x)","\int \frac{c+\frac{d}{\cos\left(e+f\,x\right)}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(1/2), x)","F"
204,0,-1,216,0.000000,"\text{Not used}","int(1/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))),x)","\int \frac{1}{\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/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))), x)","F"
205,0,-1,376,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(3/2),x)","\int \frac{c+\frac{d}{\cos\left(e+f\,x\right)}}{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(3/2), x)","F"
206,0,-1,495,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(5/2),x)","\int \frac{c+\frac{d}{\cos\left(e+f\,x\right)}}{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((c + d/cos(e + f*x))/(a + b/cos(e + f*x))^(5/2), x)","F"
207,0,-1,389,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2),x)","\int \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((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2), x)","F"
208,0,-1,198,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(1/2),x)","\int \frac{\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((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(1/2), x)","F"
209,0,-1,598,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(3/2),x)","\int \frac{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(3/2), x)","F"
210,-1,-1,899,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/2)/(c + d/cos(e + f*x))^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
211,0,-1,744,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + b/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^(3/2), x)","F"
212,-1,-1,919,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
213,-1,-1,1122,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(3/2)/(c + d/cos(e + f*x))^(7/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
214,-1,-1,891,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^(5/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
215,-1,-1,1150,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^(7/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
216,-1,-1,1428,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(5/2)/(c + d/cos(e + f*x))^(9/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
217,0,-1,652,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(3/2)/(a + b/cos(e + f*x))^(1/2),x)","\int \frac{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^(3/2)/(a + b/cos(e + f*x))^(1/2), x)","F"
218,0,-1,198,0.000000,"\text{Not used}","int((c + d/cos(e + f*x))^(1/2)/(a + b/cos(e + f*x))^(1/2),x)","\int \frac{\sqrt{c+\frac{d}{\cos\left(e+f\,x\right)}}}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((c + d/cos(e + f*x))^(1/2)/(a + b/cos(e + f*x))^(1/2), x)","F"
219,0,-1,398,0.000000,"\text{Not used}","int(1/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\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/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(1/2)), x)","F"
220,0,-1,622,0.000000,"\text{Not used}","int(1/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\sqrt{a+\frac{b}{\cos\left(e+f\,x\right)}}\,{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b/cos(e + f*x))^(1/2)*(c + d/cos(e + f*x))^(3/2)), x)","F"
221,0,-1,89,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/3)/(c + d/cos(e + f*x))^(1/3),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",0,"int((a + b/cos(e + f*x))^(1/3)/(c + d/cos(e + f*x))^(1/3), x)","F"
222,0,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/3)/(c + d/cos(e + f*x))^(4/3),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{4/3}} \,d x","Not used",0,"int((a + b/cos(e + f*x))^(1/3)/(c + d/cos(e + f*x))^(4/3), x)","F"
223,-1,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(1/3)/(c + d/cos(e + f*x))^(7/3),x)","\text{Hanged}","Not used",0,"\text{Hanged}","F(-1)"
224,0,-1,89,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(2/3)/(c + d/cos(e + f*x))^(2/3),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{2/3}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}} \,d x","Not used",0,"int((a + b/cos(e + f*x))^(2/3)/(c + d/cos(e + f*x))^(2/3), x)","F"
225,0,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(2/3)/(c + d/cos(e + f*x))^(5/3),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{2/3}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}} \,d x","Not used",0,"int((a + b/cos(e + f*x))^(2/3)/(c + d/cos(e + f*x))^(5/3), x)","F"
226,-1,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(2/3)/(c + d/cos(e + f*x))^(8/3),x)","\text{Hanged}","Not used",0,"\text{Hanged}","F(-1)"
227,0,-1,89,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(4/3)/(c + d/cos(e + f*x))^(4/3),x)","\int \frac{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^{4/3}}{{\left(c+\frac{d}{\cos\left(e+f\,x\right)}\right)}^{4/3}} \,d x","Not used",0,"int((a + b/cos(e + f*x))^(4/3)/(c + d/cos(e + f*x))^(4/3), x)","F"
228,-1,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(4/3)/(c + d/cos(e + f*x))^(7/3),x)","\text{Hanged}","Not used",0,"\text{Hanged}","F(-1)"
229,-1,-1,32,0.000000,"\text{Not used}","int((a + b/cos(e + f*x))^(4/3)/(c + d/cos(e + f*x))^(10/3),x)","\text{Hanged}","Not used",0,"\text{Hanged}","F(-1)"
230,0,-1,106,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^m,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^m, x)","F"
231,0,-1,275,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^3,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^3, x)","F"
232,0,-1,205,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^2,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x))^2, x)","F"
233,0,-1,156,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x)),x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + a/cos(e + f*x)), x)","F"
234,0,-1,208,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n/(a + a/cos(e + f*x)),x)","\int \frac{{\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n}{a+\frac{a}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n/(a + a/cos(e + f*x)), x)","F"
235,0,-1,248,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n/(a + a/cos(e + f*x))^2,x)","\int \frac{{\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n}{{\left(a+\frac{a}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n/(a + a/cos(e + f*x))^2, x)","F"
236,0,-1,56,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^m,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",0,"int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^m, x)","F"
237,0,-1,296,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^3,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^3 \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^3, x)","F"
238,0,-1,211,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^2,x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^2 \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x))^2, x)","F"
239,0,-1,156,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x)),x)","\int {\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n\,\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right) \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n*(a + b/cos(e + f*x)), x)","F"
240,0,-1,206,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n/(a + b/cos(e + f*x)),x)","\int \frac{{\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n}{a+\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n/(a + b/cos(e + f*x)), x)","F"
241,0,-1,322,0.000000,"\text{Not used}","int((c*(d/cos(e + f*x))^p)^n/(a + b/cos(e + f*x))^2,x)","\int \frac{{\left(c\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^p\right)}^n}{{\left(a+\frac{b}{\cos\left(e+f\,x\right)}\right)}^2} \,d x","Not used",1,"int((c*(d/cos(e + f*x))^p)^n/(a + b/cos(e + f*x))^2, x)","F"