1,0,-1,119,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(7/2),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(7/2), x)","F"
2,0,-1,89,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(5/2),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(5/2), x)","F"
3,0,-1,59,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(3/2),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(3/2), x)","F"
4,1,33,26,0.002036,"\text{Not used}","int((a + a*cos(c + d*x))^(1/2),x)","\frac{2\,\sin\left(c+d\,x\right)\,\sqrt{a\,\left(\cos\left(c+d\,x\right)+1\right)}}{d\,\left(\cos\left(c+d\,x\right)+1\right)}","Not used",1,"(2*sin(c + d*x)*(a*(cos(c + d*x) + 1))^(1/2))/(d*(cos(c + d*x) + 1))","B"
5,1,45,46,0.002142,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(1/2),x)","\frac{\mathrm{F}\left(\frac{c}{2}+\frac{d\,x}{2}\middle|1\right)\,\sqrt{\frac{2\,\left(a+a\,\cos\left(c+d\,x\right)\right)}{a}}}{d\,\sqrt{a+a\,\cos\left(c+d\,x\right)}}","Not used",1,"(ellipticF(c/2 + (d*x)/2, 1)*((2*(a + a*cos(c + d*x)))/a)^(1/2))/(d*(a + a*cos(c + d*x))^(1/2))","B"
6,0,-1,77,0.000000,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+a\,\cos\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + a*cos(c + d*x))^(3/2), x)","F"
7,0,-1,107,0.000000,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+a\,\cos\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + a*cos(c + d*x))^(5/2), x)","F"
8,0,-1,67,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(4/3),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(4/3), x)","F"
9,0,-1,66,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(2/3),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{2/3} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(2/3), x)","F"
10,0,-1,65,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^(1/3),x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((a + a*cos(c + d*x))^(1/3), x)","F"
11,0,-1,65,0.000000,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(1/3),x)","\int \frac{1}{{\left(a+a\,\cos\left(c+d\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(a + a*cos(c + d*x))^(1/3), x)","F"
12,0,-1,65,0.000000,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(2/3),x)","\int \frac{1}{{\left(a+a\,\cos\left(c+d\,x\right)\right)}^{2/3}} \,d x","Not used",1,"int(1/(a + a*cos(c + d*x))^(2/3), x)","F"
13,0,-1,68,0.000000,"\text{Not used}","int(1/(a + a*cos(c + d*x))^(4/3),x)","\int \frac{1}{{\left(a+a\,\cos\left(c+d\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int(1/(a + a*cos(c + d*x))^(4/3), x)","F"
14,0,-1,73,0.000000,"\text{Not used}","int((a + a*cos(c + d*x))^n,x)","\int {\left(a+a\,\cos\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*cos(c + d*x))^n, x)","F"
15,0,-1,75,0.000000,"\text{Not used}","int((a - a*cos(c + d*x))^n,x)","\int {\left(a-a\,\cos\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a - a*cos(c + d*x))^n, x)","F"
16,0,-1,59,0.000000,"\text{Not used}","int((2*cos(c + d*x) + 2)^n,x)","\int {\left(4\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\right)}^n \,d x","Not used",1,"int((4*cos(c/2 + (d*x)/2)^2)^n, x)","F"
17,0,-1,60,0.000000,"\text{Not used}","int((2 - 2*cos(c + d*x))^n,x)","\int {\left(4\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\right)}^n \,d x","Not used",1,"int((4*sin(c/2 + (d*x)/2)^2)^n, x)","F"
18,1,38,31,0.427721,"\text{Not used}","int(1/(3*cos(c + d*x) + 5),x)","\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{2\,d}-\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}","Not used",1,"atan(tan(c/2 + (d*x)/2)/2)/(2*d) - (atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d)","B"
19,1,67,56,0.326464,"\text{Not used}","int(1/(3*cos(c + d*x) + 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}-\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+4\right)}","Not used",1,"(5*atan(tan(c/2 + (d*x)/2)/2))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) - (3*tan(c/2 + (d*x)/2))/(16*d*(tan(c/2 + (d*x)/2)^2 + 4))","B"
20,1,96,81,0.385386,"\text{Not used}","int(1/(3*cos(c + d*x) + 5)^3,x)","\frac{59\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{1024\,d}-\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}-\frac{\frac{69\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{512}+\frac{51\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+16\right)}","Not used",1,"(59*atan(tan(c/2 + (d*x)/2)/2))/(1024*d) - (59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) - ((51*tan(c/2 + (d*x)/2))/128 + (69*tan(c/2 + (d*x)/2)^3)/512)/(d*(8*tan(c/2 + (d*x)/2)^2 + tan(c/2 + (d*x)/2)^4 + 16))","B"
21,1,96,106,0.515482,"\text{Not used}","int(1/(3*cos(c + d*x) + 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}-\frac{\frac{639\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{8192}+\frac{117\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{256}+\frac{369\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{512}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+4\right)}^3}","Not used",1,"(385*atan(tan(c/2 + (d*x)/2)/2))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) - ((369*tan(c/2 + (d*x)/2))/512 + (117*tan(c/2 + (d*x)/2)^3)/256 + (639*tan(c/2 + (d*x)/2)^5)/8192)/(d*(tan(c/2 + (d*x)/2)^2 + 4)^3)","B"
22,1,38,33,0.294269,"\text{Not used}","int(-1/(3*cos(c + d*x) - 5),x)","\frac{\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}-\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}","Not used",1,"atan(2*tan(c/2 + (d*x)/2))/(2*d) - (atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d)","B"
23,1,67,58,0.308861,"\text{Not used}","int(1/(3*cos(c + d*x) - 5)^2,x)","\frac{5\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{1}{4}\right)}","Not used",1,"(5*atan(2*tan(c/2 + (d*x)/2)))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + (3*tan(c/2 + (d*x)/2))/(64*d*(tan(c/2 + (d*x)/2)^2 + 1/4))","B"
24,1,95,83,0.373151,"\text{Not used}","int(-1/(3*cos(c + d*x) - 5)^3,x)","\frac{59\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{1024\,d}-\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}+\frac{\frac{51\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2048}+\frac{69\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{2}+\frac{1}{16}\right)}","Not used",1,"(59*atan(2*tan(c/2 + (d*x)/2)))/(1024*d) - (59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) + ((69*tan(c/2 + (d*x)/2))/8192 + (51*tan(c/2 + (d*x)/2)^3)/2048)/(d*(tan(c/2 + (d*x)/2)^2/2 + tan(c/2 + (d*x)/2)^4 + 1/16))","B"
25,1,97,108,0.490747,"\text{Not used}","int(1/(3*cos(c + d*x) - 5)^4,x)","\frac{385\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{369\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{512}+\frac{117\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{256}+\frac{639\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}}{d\,{\left(4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}","Not used",1,"(385*atan(2*tan(c/2 + (d*x)/2)))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((639*tan(c/2 + (d*x)/2))/8192 + (117*tan(c/2 + (d*x)/2)^3)/256 + (369*tan(c/2 + (d*x)/2)^5)/512)/(d*(4*tan(c/2 + (d*x)/2)^2 + 1)^3)","B"
26,1,38,33,0.254341,"\text{Not used}","int(1/(3*cos(c + d*x) - 5),x)","\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}-\frac{\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}","Not used",1,"(atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d) - atan(2*tan(c/2 + (d*x)/2))/(2*d)","B"
27,1,67,58,0.002058,"\text{Not used}","int(1/(3*cos(c + d*x) - 5)^2,x)","\frac{5\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{1}{4}\right)}","Not used",1,"(5*atan(2*tan(c/2 + (d*x)/2)))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + (3*tan(c/2 + (d*x)/2))/(64*d*(tan(c/2 + (d*x)/2)^2 + 1/4))","B"
28,1,96,83,0.359032,"\text{Not used}","int(1/(3*cos(c + d*x) - 5)^3,x)","\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}-\frac{59\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{1024\,d}-\frac{\frac{51\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2048}+\frac{69\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{2}+\frac{1}{16}\right)}","Not used",1,"(59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) - (59*atan(2*tan(c/2 + (d*x)/2)))/(1024*d) - ((69*tan(c/2 + (d*x)/2))/8192 + (51*tan(c/2 + (d*x)/2)^3)/2048)/(d*(tan(c/2 + (d*x)/2)^2/2 + tan(c/2 + (d*x)/2)^4 + 1/16))","B"
29,1,97,108,0.002065,"\text{Not used}","int(1/(3*cos(c + d*x) - 5)^4,x)","\frac{385\,\mathrm{atan}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{369\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{512}+\frac{117\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{256}+\frac{639\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}}{d\,{\left(4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}","Not used",1,"(385*atan(2*tan(c/2 + (d*x)/2)))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((639*tan(c/2 + (d*x)/2))/8192 + (117*tan(c/2 + (d*x)/2)^3)/256 + (369*tan(c/2 + (d*x)/2)^5)/512)/(d*(4*tan(c/2 + (d*x)/2)^2 + 1)^3)","B"
30,1,38,31,0.254777,"\text{Not used}","int(-1/(3*cos(c + d*x) + 5),x)","\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}-\frac{\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{2\,d}","Not used",1,"(atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d) - atan(tan(c/2 + (d*x)/2)/2)/(2*d)","B"
31,1,67,56,0.002065,"\text{Not used}","int(1/(3*cos(c + d*x) + 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}-\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+4\right)}","Not used",1,"(5*atan(tan(c/2 + (d*x)/2)/2))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) - (3*tan(c/2 + (d*x)/2))/(16*d*(tan(c/2 + (d*x)/2)^2 + 4))","B"
32,1,95,81,0.358280,"\text{Not used}","int(-1/(3*cos(c + d*x) + 5)^3,x)","\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}-\frac{59\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{1024\,d}+\frac{\frac{69\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{512}+\frac{51\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+16\right)}","Not used",1,"(59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) - (59*atan(tan(c/2 + (d*x)/2)/2))/(1024*d) + ((51*tan(c/2 + (d*x)/2))/128 + (69*tan(c/2 + (d*x)/2)^3)/512)/(d*(8*tan(c/2 + (d*x)/2)^2 + tan(c/2 + (d*x)/2)^4 + 16))","B"
33,1,96,106,0.002027,"\text{Not used}","int(1/(3*cos(c + d*x) + 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}-\frac{\frac{639\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{8192}+\frac{117\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{256}+\frac{369\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{512}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+4\right)}^3}","Not used",1,"(385*atan(tan(c/2 + (d*x)/2)/2))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) - ((369*tan(c/2 + (d*x)/2))/512 + (117*tan(c/2 + (d*x)/2)^3)/256 + (639*tan(c/2 + (d*x)/2)^5)/8192)/(d*(tan(c/2 + (d*x)/2)^2 + 4)^3)","B"
34,1,17,65,0.361095,"\text{Not used}","int(1/(5*cos(c + d*x) + 3),x)","\frac{\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{2\,d}","Not used",1,"atanh(tan(c/2 + (d*x)/2)/2)/(2*d)","B"
35,1,47,90,0.319912,"\text{Not used}","int(1/(5*cos(c + d*x) + 3)^2,x)","-\frac{3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{32\,d}-\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-4\right)}","Not used",1,"- (3*atanh(tan(c/2 + (d*x)/2)/2))/(32*d) - (5*tan(c/2 + (d*x)/2))/(16*d*(tan(c/2 + (d*x)/2)^2 - 4))","B"
36,1,76,115,0.674472,"\text{Not used}","int(1/(5*cos(c + d*x) + 3)^3,x)","\frac{43\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{1024\,d}-\frac{\frac{35\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}-\frac{85\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{512}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+16\right)}","Not used",1,"(43*atanh(tan(c/2 + (d*x)/2)/2))/(1024*d) - ((35*tan(c/2 + (d*x)/2))/128 - (85*tan(c/2 + (d*x)/2)^3)/512)/(d*(tan(c/2 + (d*x)/2)^4 - 8*tan(c/2 + (d*x)/2)^2 + 16))","B"
37,1,102,140,1.969391,"\text{Not used}","int(1/(5*cos(c + d*x) + 3)^4,x)","-\frac{279\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{16384\,d}-\frac{\frac{745\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{8192}-\frac{265\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{768}+\frac{295\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{512}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-12\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+48\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-64\right)}","Not used",1,"- (279*atanh(tan(c/2 + (d*x)/2)/2))/(16384*d) - ((295*tan(c/2 + (d*x)/2))/512 - (265*tan(c/2 + (d*x)/2)^3)/768 + (745*tan(c/2 + (d*x)/2)^5)/8192)/(d*(48*tan(c/2 + (d*x)/2)^2 - 12*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 64))","B"
38,1,17,63,0.332147,"\text{Not used}","int(-1/(5*cos(c + d*x) - 3),x)","-\frac{\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}","Not used",1,"-atanh(2*tan(c/2 + (d*x)/2))/(2*d)","B"
39,1,47,88,0.342667,"\text{Not used}","int(1/(5*cos(c + d*x) - 3)^2,x)","\frac{3\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{32\,d}-\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{1}{4}\right)}","Not used",1,"(3*atanh(2*tan(c/2 + (d*x)/2)))/(32*d) - (5*tan(c/2 + (d*x)/2))/(64*d*(tan(c/2 + (d*x)/2)^2 - 1/4))","B"
40,1,76,113,0.673276,"\text{Not used}","int(-1/(5*cos(c + d*x) - 3)^3,x)","-\frac{43\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{1024\,d}-\frac{\frac{85\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}-\frac{35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2048}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{2}+\frac{1}{16}\right)}","Not used",1,"- (43*atanh(2*tan(c/2 + (d*x)/2)))/(1024*d) - ((85*tan(c/2 + (d*x)/2))/8192 - (35*tan(c/2 + (d*x)/2)^3)/2048)/(d*(tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^2/2 + 1/16))","B"
41,1,102,138,2.012745,"\text{Not used}","int(1/(5*cos(c + d*x) - 3)^4,x)","\frac{279\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{16384\,d}-\frac{\frac{295\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{32768}-\frac{265\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{49152}+\frac{745\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{524288}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{4}+\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{16}-\frac{1}{64}\right)}","Not used",1,"(279*atanh(2*tan(c/2 + (d*x)/2)))/(16384*d) - ((745*tan(c/2 + (d*x)/2))/524288 - (265*tan(c/2 + (d*x)/2)^3)/49152 + (295*tan(c/2 + (d*x)/2)^5)/32768)/(d*((3*tan(c/2 + (d*x)/2)^2)/16 - (3*tan(c/2 + (d*x)/2)^4)/4 + tan(c/2 + (d*x)/2)^6 - 1/64))","B"
42,1,17,63,0.261004,"\text{Not used}","int(1/(5*cos(c + d*x) - 3),x)","\frac{\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}","Not used",1,"atanh(2*tan(c/2 + (d*x)/2))/(2*d)","B"
43,1,47,88,0.002141,"\text{Not used}","int(1/(5*cos(c + d*x) - 3)^2,x)","\frac{3\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{32\,d}-\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{1}{4}\right)}","Not used",1,"(3*atanh(2*tan(c/2 + (d*x)/2)))/(32*d) - (5*tan(c/2 + (d*x)/2))/(64*d*(tan(c/2 + (d*x)/2)^2 - 1/4))","B"
44,1,75,113,0.649923,"\text{Not used}","int(1/(5*cos(c + d*x) - 3)^3,x)","\frac{43\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{1024\,d}+\frac{\frac{85\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8192}-\frac{35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2048}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{2}+\frac{1}{16}\right)}","Not used",1,"(43*atanh(2*tan(c/2 + (d*x)/2)))/(1024*d) + ((85*tan(c/2 + (d*x)/2))/8192 - (35*tan(c/2 + (d*x)/2)^3)/2048)/(d*(tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^2/2 + 1/16))","B"
45,1,102,138,0.002066,"\text{Not used}","int(1/(5*cos(c + d*x) - 3)^4,x)","\frac{279\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{16384\,d}-\frac{\frac{295\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{32768}-\frac{265\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{49152}+\frac{745\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{524288}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{4}+\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{16}-\frac{1}{64}\right)}","Not used",1,"(279*atanh(2*tan(c/2 + (d*x)/2)))/(16384*d) - ((745*tan(c/2 + (d*x)/2))/524288 - (265*tan(c/2 + (d*x)/2)^3)/49152 + (295*tan(c/2 + (d*x)/2)^5)/32768)/(d*((3*tan(c/2 + (d*x)/2)^2)/16 - (3*tan(c/2 + (d*x)/2)^4)/4 + tan(c/2 + (d*x)/2)^6 - 1/64))","B"
46,1,17,65,0.262436,"\text{Not used}","int(-1/(5*cos(c + d*x) + 3),x)","-\frac{\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{2\,d}","Not used",1,"-atanh(tan(c/2 + (d*x)/2)/2)/(2*d)","B"
47,1,47,90,0.001990,"\text{Not used}","int(1/(5*cos(c + d*x) + 3)^2,x)","-\frac{3\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{32\,d}-\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-4\right)}","Not used",1,"- (3*atanh(tan(c/2 + (d*x)/2)/2))/(32*d) - (5*tan(c/2 + (d*x)/2))/(16*d*(tan(c/2 + (d*x)/2)^2 - 4))","B"
48,1,75,115,0.669331,"\text{Not used}","int(-1/(5*cos(c + d*x) + 3)^3,x)","\frac{\frac{35\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}-\frac{85\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{512}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+16\right)}-\frac{43\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{1024\,d}","Not used",1,"((35*tan(c/2 + (d*x)/2))/128 - (85*tan(c/2 + (d*x)/2)^3)/512)/(d*(tan(c/2 + (d*x)/2)^4 - 8*tan(c/2 + (d*x)/2)^2 + 16)) - (43*atanh(tan(c/2 + (d*x)/2)/2))/(1024*d)","B"
49,1,102,140,0.002047,"\text{Not used}","int(1/(5*cos(c + d*x) + 3)^4,x)","-\frac{279\,\mathrm{atanh}\left(\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}\right)}{16384\,d}-\frac{\frac{745\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{8192}-\frac{265\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{768}+\frac{295\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{512}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-12\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+48\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-64\right)}","Not used",1,"- (279*atanh(tan(c/2 + (d*x)/2)/2))/(16384*d) - ((295*tan(c/2 + (d*x)/2))/512 - (265*tan(c/2 + (d*x)/2)^3)/768 + (745*tan(c/2 + (d*x)/2)^5)/8192)/(d*(48*tan(c/2 + (d*x)/2)^2 - 12*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 64))","B"
50,0,-1,197,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(5/2),x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(5/2), x)","F"
51,0,-1,157,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(3/2),x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(3/2), x)","F"
52,0,-1,57,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(1/2),x)","\int \sqrt{a+b\,\cos\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(1/2), x)","F"
53,1,52,57,0.390103,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(1/2),x)","\frac{2\,\mathrm{F}\left(\frac{c}{2}+\frac{d\,x}{2}\middle|\frac{2\,b}{a+b}\right)\,\sqrt{\frac{a+b\,\cos\left(c+d\,x\right)}{a+b}}}{d\,\sqrt{a+b\,\cos\left(c+d\,x\right)}}","Not used",1,"(2*ellipticF(c/2 + (d*x)/2, (2*b)/(a + b))*((a + b*cos(c + d*x))/(a + b))^(1/2))/(d*(a + b*cos(c + d*x))^(1/2))","B"
54,0,-1,106,0.000000,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+b\,\cos\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*cos(c + d*x))^(3/2), x)","F"
55,0,-1,221,0.000000,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+b\,\cos\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*cos(c + d*x))^(5/2), x)","F"
56,0,-1,108,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(4/3),x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(4/3), x)","F"
57,0,-1,105,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(2/3),x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^{2/3} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(2/3), x)","F"
58,0,-1,105,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^(1/3),x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((a + b*cos(c + d*x))^(1/3), x)","F"
59,0,-1,105,0.000000,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(1/3),x)","\int \frac{1}{{\left(a+b\,\cos\left(c+d\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(a + b*cos(c + d*x))^(1/3), x)","F"
60,0,-1,105,0.000000,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(2/3),x)","\int \frac{1}{{\left(a+b\,\cos\left(c+d\,x\right)\right)}^{2/3}} \,d x","Not used",1,"int(1/(a + b*cos(c + d*x))^(2/3), x)","F"
61,0,-1,110,0.000000,"\text{Not used}","int(1/(a + b*cos(c + d*x))^(4/3),x)","\int \frac{1}{{\left(a+b\,\cos\left(c+d\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int(1/(a + b*cos(c + d*x))^(4/3), x)","F"
62,0,-1,103,0.000000,"\text{Not used}","int((a + b*cos(c + d*x))^n,x)","\int {\left(a+b\,\cos\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a + b*cos(c + d*x))^n, x)","F"