1,1,44,0,1.911168," ","integrate(sec(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| \frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right) + 2 \right|}\right) - \log\left({\left| \frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right) - 2 \right|}\right)}{4 \, b}"," ",0,"1/4*(log(abs(1/sin(b*x + a) + sin(b*x + a) + 2)) - log(abs(1/sin(b*x + a) + sin(b*x + a) - 2)))/b","B",0
2,1,10,0,0.964882," ","integrate(sec(b*x+a)^2,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)}{b}"," ",0,"tan(b*x + a)/b","A",0
3,1,48,0,2.935400," ","integrate(sec(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} - \log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) + \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{4 \, b}"," ",0,"-1/4*(2*sin(b*x + a)/(sin(b*x + a)^2 - 1) - log(abs(sin(b*x + a) + 1)) + log(abs(sin(b*x + a) - 1)))/b","A",0
4,1,22,0,1.385751," ","integrate(sec(b*x+a)^4,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)^{3} + 3 \, \tan\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(tan(b*x + a)^3 + 3*tan(b*x + a))/b","A",0
5,1,63,0,0.560588," ","integrate(sec(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{3} - 5 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{2}} - 3 \, \log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) + 3 \, \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{16 \, b}"," ",0,"-1/16*(2*(3*sin(b*x + a)^3 - 5*sin(b*x + a))/(sin(b*x + a)^2 - 1)^2 - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)))/b","A",0
6,1,34,0,0.460762," ","integrate(sec(b*x+a)^6,x, algorithm=""giac"")","\frac{3 \, \tan\left(b x + a\right)^{5} + 10 \, \tan\left(b x + a\right)^{3} + 15 \, \tan\left(b x + a\right)}{15 \, b}"," ",0,"1/15*(3*tan(b*x + a)^5 + 10*tan(b*x + a)^3 + 15*tan(b*x + a))/b","A",0
7,1,73,0,0.359478," ","integrate(sec(b*x+a)^7,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(15 \, \sin\left(b x + a\right)^{5} - 40 \, \sin\left(b x + a\right)^{3} + 33 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{3}} - 15 \, \log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) + 15 \, \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{96 \, b}"," ",0,"-1/96*(2*(15*sin(b*x + a)^5 - 40*sin(b*x + a)^3 + 33*sin(b*x + a))/(sin(b*x + a)^2 - 1)^3 - 15*log(abs(sin(b*x + a) + 1)) + 15*log(abs(sin(b*x + a) - 1)))/b","A",0
8,1,44,0,0.784873," ","integrate(sec(b*x+a)^8,x, algorithm=""giac"")","\frac{5 \, \tan\left(b x + a\right)^{7} + 21 \, \tan\left(b x + a\right)^{5} + 35 \, \tan\left(b x + a\right)^{3} + 35 \, \tan\left(b x + a\right)}{35 \, b}"," ",0,"1/35*(5*tan(b*x + a)^7 + 21*tan(b*x + a)^5 + 35*tan(b*x + a)^3 + 35*tan(b*x + a))/b","A",0
9,0,0,0,0.000000," ","integrate(sec(b*x+a)^(7/2),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(7/2), x)","F",0
10,0,0,0,0.000000," ","integrate(sec(b*x+a)^(5/2),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(5/2), x)","F",0
11,0,0,0,0.000000," ","integrate(sec(b*x+a)^(3/2),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate(sec(b*x+a)^(1/2),x, algorithm=""giac"")","\int \sqrt{\sec\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(sec(b*x + a)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sec(b*x + a)), x)","F",0
14,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-3/2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-5/2), x)","F",0
16,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-7/2), x)","F",0
17,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(7/2),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(7/2), x)","F",0
18,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(5/2), x)","F",0
19,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(3/2), x)","F",0
20,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*sec(b*x + a)), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(c*sec(b*x + a)), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-3/2), x)","F",0
23,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-5/2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-7/2), x)","F",0
25,0,0,0,0.000000," ","integrate(sec(b*x+a)^(4/3),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(4/3), x)","F",0
26,0,0,0,0.000000," ","integrate(sec(b*x+a)^(2/3),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(2/3), x)","F",0
27,0,0,0,0.000000," ","integrate(sec(b*x+a)^(1/3),x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(1/3), x)","F",0
28,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(1/3),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-1/3), x)","F",0
29,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(2/3),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-2/3), x)","F",0
30,0,0,0,0.000000," ","integrate(1/sec(b*x+a)^(4/3),x, algorithm=""giac"")","\int \frac{1}{\sec\left(b x + a\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^(-4/3), x)","F",0
31,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(4/3),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(4/3), x)","F",0
32,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(2/3),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(2/3), x)","F",0
33,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/3),x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(1/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-1/3), x)","F",0
35,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-2/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(c*sec(b*x+a))^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sec\left(b x + a\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(-4/3), x)","F",0
37,0,0,0,0.000000," ","integrate(sec(b*x+a)^n,x, algorithm=""giac"")","\int \sec\left(b x + a\right)^{n}\,{d x}"," ",0,"integrate(sec(b*x + a)^n, x)","F",0
38,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^n,x, algorithm=""giac"")","\int \left(c \sec\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^n, x)","F",0
39,1,59,0,0.993919," ","integrate((sec(x)^2)^(7/2),x, algorithm=""giac"")","\frac{5 \, \log\left(\sin\left(x\right) + 1\right)}{32 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{5 \, \log\left(-\sin\left(x\right) + 1\right)}{32 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{15 \, \sin\left(x\right)^{5} - 40 \, \sin\left(x\right)^{3} + 33 \, \sin\left(x\right)}{48 \, {\left(\sin\left(x\right)^{2} - 1\right)}^{3} \mathrm{sgn}\left(\cos\left(x\right)\right)}"," ",0,"5/32*log(sin(x) + 1)/sgn(cos(x)) - 5/32*log(-sin(x) + 1)/sgn(cos(x)) - 1/48*(15*sin(x)^5 - 40*sin(x)^3 + 33*sin(x))/((sin(x)^2 - 1)^3*sgn(cos(x)))","A",0
40,1,53,0,0.430108," ","integrate((sec(x)^2)^(5/2),x, algorithm=""giac"")","\frac{3 \, \log\left(\sin\left(x\right) + 1\right)}{16 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{3 \, \log\left(-\sin\left(x\right) + 1\right)}{16 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{3 \, \sin\left(x\right)^{3} - 5 \, \sin\left(x\right)}{8 \, {\left(\sin\left(x\right)^{2} - 1\right)}^{2} \mathrm{sgn}\left(\cos\left(x\right)\right)}"," ",0,"3/16*log(sin(x) + 1)/sgn(cos(x)) - 3/16*log(-sin(x) + 1)/sgn(cos(x)) - 1/8*(3*sin(x)^3 - 5*sin(x))/((sin(x)^2 - 1)^2*sgn(cos(x)))","B",0
41,1,44,0,0.344989," ","integrate((sec(x)^2)^(3/2),x, algorithm=""giac"")","\frac{\log\left(\sin\left(x\right) + 1\right)}{4 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{\log\left(-\sin\left(x\right) + 1\right)}{4 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{\sin\left(x\right)}{2 \, {\left(\sin\left(x\right)^{2} - 1\right)} \mathrm{sgn}\left(\cos\left(x\right)\right)}"," ",0,"1/4*log(sin(x) + 1)/sgn(cos(x)) - 1/4*log(-sin(x) + 1)/sgn(cos(x)) - 1/2*sin(x)/((sin(x)^2 - 1)*sgn(cos(x)))","B",0
42,1,35,0,0.730596," ","integrate((sec(x)^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| \frac{1}{\sin\left(x\right)} + \sin\left(x\right) + 2 \right|}\right)}{4 \, \mathrm{sgn}\left(\cos\left(x\right)\right)} - \frac{\log\left({\left| \frac{1}{\sin\left(x\right)} + \sin\left(x\right) - 2 \right|}\right)}{4 \, \mathrm{sgn}\left(\cos\left(x\right)\right)}"," ",0,"1/4*log(abs(1/sin(x) + sin(x) + 2))/sgn(cos(x)) - 1/4*log(abs(1/sin(x) + sin(x) - 2))/sgn(cos(x))","B",0
43,1,6,0,0.314835," ","integrate(1/(sec(x)^2)^(1/2),x, algorithm=""giac"")","\mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)"," ",0,"sgn(cos(x))*sin(x)","A",0
44,1,16,0,0.496630," ","integrate(1/(sec(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{3} \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{3} + \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)"," ",0,"-1/3*sgn(cos(x))*sin(x)^3 + sgn(cos(x))*sin(x)","A",0
45,1,25,0,0.425761," ","integrate(1/(sec(x)^2)^(5/2),x, algorithm=""giac"")","\frac{1}{5} \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{5} - \frac{2}{3} \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{3} + \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)"," ",0,"1/5*sgn(cos(x))*sin(x)^5 - 2/3*sgn(cos(x))*sin(x)^3 + sgn(cos(x))*sin(x)","A",0
46,1,34,0,0.433640," ","integrate(1/(sec(x)^2)^(7/2),x, algorithm=""giac"")","-\frac{1}{7} \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{7} + \frac{3}{5} \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{5} - \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{3} + \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)"," ",0,"-1/7*sgn(cos(x))*sin(x)^7 + 3/5*sgn(cos(x))*sin(x)^5 - sgn(cos(x))*sin(x)^3 + sgn(cos(x))*sin(x)","A",0
47,1,79,0,0.331476," ","integrate((a*sec(x)^2)^(7/2),x, algorithm=""giac"")","\frac{1}{96} \, {\left(15 \, a^{3} \log\left(\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - 15 \, a^{3} \log\left(-\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - \frac{2 \, {\left(15 \, a^{3} \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{5} - 40 \, a^{3} \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{3} + 33 \, a^{3} \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)\right)}}{{\left(\sin\left(x\right)^{2} - 1\right)}^{3}}\right)} \sqrt{a}"," ",0,"1/96*(15*a^3*log(sin(x) + 1)*sgn(cos(x)) - 15*a^3*log(-sin(x) + 1)*sgn(cos(x)) - 2*(15*a^3*sgn(cos(x))*sin(x)^5 - 40*a^3*sgn(cos(x))*sin(x)^3 + 33*a^3*sgn(cos(x))*sin(x))/(sin(x)^2 - 1)^3)*sqrt(a)","A",0
48,1,67,0,0.409971," ","integrate((a*sec(x)^2)^(5/2),x, algorithm=""giac"")","\frac{1}{16} \, {\left(3 \, a^{2} \log\left(\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - 3 \, a^{2} \log\left(-\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - \frac{2 \, {\left(3 \, a^{2} \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)^{3} - 5 \, a^{2} \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)\right)}}{{\left(\sin\left(x\right)^{2} - 1\right)}^{2}}\right)} \sqrt{a}"," ",0,"1/16*(3*a^2*log(sin(x) + 1)*sgn(cos(x)) - 3*a^2*log(-sin(x) + 1)*sgn(cos(x)) - 2*(3*a^2*sgn(cos(x))*sin(x)^3 - 5*a^2*sgn(cos(x))*sin(x))/(sin(x)^2 - 1)^2)*sqrt(a)","A",0
49,1,42,0,0.598217," ","integrate((a*sec(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{4} \, {\left(\log\left(\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - \log\left(-\sin\left(x\right) + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) - \frac{2 \, \mathrm{sgn}\left(\cos\left(x\right)\right) \sin\left(x\right)}{\sin\left(x\right)^{2} - 1}\right)} a^{\frac{3}{2}}"," ",0,"1/4*(log(sin(x) + 1)*sgn(cos(x)) - log(-sin(x) + 1)*sgn(cos(x)) - 2*sgn(cos(x))*sin(x)/(sin(x)^2 - 1))*a^(3/2)","A",0
50,1,31,0,0.334163," ","integrate((a*sec(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{a} {\left(\log\left({\left| \frac{1}{\sin\left(x\right)} + \sin\left(x\right) + 2 \right|}\right) - \log\left({\left| \frac{1}{\sin\left(x\right)} + \sin\left(x\right) - 2 \right|}\right)\right)} \mathrm{sgn}\left(\cos\left(x\right)\right)"," ",0,"1/4*sqrt(a)*(log(abs(1/sin(x) + sin(x) + 2)) - log(abs(1/sin(x) + sin(x) - 2)))*sgn(cos(x))","A",0
51,1,11,0,0.402945," ","integrate(1/(a*sec(x)^2)^(1/2),x, algorithm=""giac"")","\frac{\sin\left(x\right)}{\sqrt{a} \mathrm{sgn}\left(\cos\left(x\right)\right)}"," ",0,"sin(x)/(sqrt(a)*sgn(cos(x)))","A",0
52,1,58,0,0.604514," ","integrate(1/(a*sec(x)^2)^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) - 4 \, \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)\right)}}{3 \, a^{\frac{3}{2}} {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{3}}"," ",0,"2/3*(3*(1/tan(1/2*x) + tan(1/2*x))^2*sgn(-tan(1/2*x)^2 + 1) - 4*sgn(-tan(1/2*x)^2 + 1))/(a^(3/2)*(1/tan(1/2*x) + tan(1/2*x))^3)","B",0
53,1,84,0,0.540033," ","integrate(1/(a*sec(x)^2)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(15 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{4} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) - 40 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) + 48 \, \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)\right)}}{15 \, a^{\frac{5}{2}} {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{5}}"," ",0,"2/15*(15*(1/tan(1/2*x) + tan(1/2*x))^4*sgn(-tan(1/2*x)^2 + 1) - 40*(1/tan(1/2*x) + tan(1/2*x))^2*sgn(-tan(1/2*x)^2 + 1) + 48*sgn(-tan(1/2*x)^2 + 1))/(a^(5/2)*(1/tan(1/2*x) + tan(1/2*x))^5)","A",0
54,1,110,0,0.699967," ","integrate(1/(a*sec(x)^2)^(7/2),x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{6} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) - 140 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{4} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) + 336 \, {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{2} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) - 320 \, \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)\right)}}{35 \, a^{\frac{7}{2}} {\left(\frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)\right)}^{7}}"," ",0,"2/35*(35*(1/tan(1/2*x) + tan(1/2*x))^6*sgn(-tan(1/2*x)^2 + 1) - 140*(1/tan(1/2*x) + tan(1/2*x))^4*sgn(-tan(1/2*x)^2 + 1) + 336*(1/tan(1/2*x) + tan(1/2*x))^2*sgn(-tan(1/2*x)^2 + 1) - 320*sgn(-tan(1/2*x)^2 + 1))/(a^(7/2)*(1/tan(1/2*x) + tan(1/2*x))^7)","A",0
55,0,0,0,0.000000," ","integrate((a*sec(x)^3)^(5/2),x, algorithm=""giac"")","\int \left(a \sec\left(x\right)^{3}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*sec(x)^3)^(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate((a*sec(x)^3)^(3/2),x, algorithm=""giac"")","\int \left(a \sec\left(x\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sec(x)^3)^(3/2), x)","F",0
57,0,0,0,0.000000," ","integrate((a*sec(x)^3)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \sec\left(x\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(a*sec(x)^3), x)","F",0
58,0,0,0,0.000000," ","integrate(1/(a*sec(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \sec\left(x\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(a*sec(x)^3), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(a*sec(x)^3)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \sec\left(x\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sec(x)^3)^(-3/2), x)","F",0
60,0,0,0,0.000000," ","integrate(1/(a*sec(x)^3)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \sec\left(x\right)^{3}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*sec(x)^3)^(-5/2), x)","F",0
61,1,67,0,0.410376," ","integrate((a*sec(x)^4)^(7/2),x, algorithm=""giac"")","\frac{1}{3003} \, {\left(231 \, a^{3} \tan\left(x\right)^{13} + 1638 \, a^{3} \tan\left(x\right)^{11} + 5005 \, a^{3} \tan\left(x\right)^{9} + 8580 \, a^{3} \tan\left(x\right)^{7} + 9009 \, a^{3} \tan\left(x\right)^{5} + 6006 \, a^{3} \tan\left(x\right)^{3} + 3003 \, a^{3} \tan\left(x\right)\right)} \sqrt{a}"," ",0,"1/3003*(231*a^3*tan(x)^13 + 1638*a^3*tan(x)^11 + 5005*a^3*tan(x)^9 + 8580*a^3*tan(x)^7 + 9009*a^3*tan(x)^5 + 6006*a^3*tan(x)^3 + 3003*a^3*tan(x))*sqrt(a)","A",0
62,1,49,0,0.899110," ","integrate((a*sec(x)^4)^(5/2),x, algorithm=""giac"")","\frac{1}{315} \, {\left(35 \, a^{2} \tan\left(x\right)^{9} + 180 \, a^{2} \tan\left(x\right)^{7} + 378 \, a^{2} \tan\left(x\right)^{5} + 420 \, a^{2} \tan\left(x\right)^{3} + 315 \, a^{2} \tan\left(x\right)\right)} \sqrt{a}"," ",0,"1/315*(35*a^2*tan(x)^9 + 180*a^2*tan(x)^7 + 378*a^2*tan(x)^5 + 420*a^2*tan(x)^3 + 315*a^2*tan(x))*sqrt(a)","A",0
63,1,22,0,0.742537," ","integrate((a*sec(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{15} \, {\left(3 \, \tan\left(x\right)^{5} + 10 \, \tan\left(x\right)^{3} + 15 \, \tan\left(x\right)\right)} a^{\frac{3}{2}}"," ",0,"1/15*(3*tan(x)^5 + 10*tan(x)^3 + 15*tan(x))*a^(3/2)","A",0
64,1,6,0,0.698743," ","integrate((a*sec(x)^4)^(1/2),x, algorithm=""giac"")","\sqrt{a} \tan\left(x\right)"," ",0,"sqrt(a)*tan(x)","A",0
65,1,39,0,0.445612," ","integrate(1/(a*sec(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{a} {\left(\frac{\pi \left \lfloor \frac{x}{\pi} + \frac{1}{2} \right \rfloor - x}{a} - \frac{\tan\left(x\right)}{{\left(\tan\left(x\right)^{2} + 1\right)} a}\right)}"," ",0,"-1/2*sqrt(a)*((pi*floor(x/pi + 1/2) - x)/a - tan(x)/((tan(x)^2 + 1)*a))","A",0
66,-2,0,0,0.000000," ","integrate(1/(a*sec(x)^4)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
67,-2,0,0,0.000000," ","integrate(1/(a*sec(x)^4)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
68,0,0,0,0.000000," ","integrate(((b*sec(d*x+c))^p)^n,x, algorithm=""giac"")","\int {\left(\left(b \sec\left(d x + c\right)\right)^{p}\right)}^{n}\,{d x}"," ",0,"integrate(((b*sec(d*x + c))^p)^n, x)","F",0
69,0,0,0,0.000000," ","integrate((a*(b*sec(d*x+c))^p)^n,x, algorithm=""giac"")","\int \left(\left(b \sec\left(d x + c\right)\right)^{p} a\right)^{n}\,{d x}"," ",0,"integrate(((b*sec(d*x + c))^p*a)^n, x)","F",0
70,0,0,0,0.000000," ","integrate(sec(d*x+c)^4*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^4, x)","F",0
71,0,0,0,0.000000," ","integrate(sec(d*x+c)^3*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^3, x)","F",0
72,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^2, x)","F",0
73,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c), x)","F",0
74,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c)), x)","F",0
75,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*cos(d*x + c), x)","F",0
76,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*cos(d*x + c)^2, x)","F",0
77,0,0,0,0.000000," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*cos(d*x + c)^3, x)","F",0
78,0,0,0,0.000000," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*cos(d*x + c)^4, x)","F",0
79,0,0,0,0.000000," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \cos\left(d x + c\right)^{5}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*cos(d*x + c)^5, x)","F",0
80,0,0,0,0.000000," ","integrate(sec(d*x+c)^3*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*sec(d*x + c)^3, x)","F",0
81,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*sec(d*x + c)^2, x)","F",0
82,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*sec(d*x + c), x)","F",0
83,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2), x)","F",0
84,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c), x)","F",0
85,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c)^2, x)","F",0
86,0,0,0,0.000000," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c)^3, x)","F",0
87,0,0,0,0.000000," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c)^4, x)","F",0
88,0,0,0,0.000000," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)^{5}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c)^5, x)","F",0
89,0,0,0,0.000000," ","integrate(cos(d*x+c)^6*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \cos\left(d x + c\right)^{6}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*cos(d*x + c)^6, x)","F",0
90,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*sec(d*x + c)^2, x)","F",0
91,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*sec(d*x + c), x)","F",0
92,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2), x)","F",0
93,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c), x)","F",0
94,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^2, x)","F",0
95,0,0,0,0.000000," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^3, x)","F",0
96,0,0,0,0.000000," ","integrate(cos(d*x+c)^4*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^4, x)","F",0
97,0,0,0,0.000000," ","integrate(cos(d*x+c)^5*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{5}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^5, x)","F",0
98,0,0,0,0.000000," ","integrate(cos(d*x+c)^6*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{6}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^6, x)","F",0
99,0,0,0,0.000000," ","integrate(cos(d*x+c)^7*(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \cos\left(d x + c\right)^{7}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(5/2)*cos(d*x + c)^7, x)","F",0
100,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(7/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(7/2), x)","F",0
101,0,0,0,0.000000," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{5}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)^5/sqrt(b*sec(d*x + c)), x)","F",0
102,0,0,0,0.000000," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{4}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)^4/sqrt(b*sec(d*x + c)), x)","F",0
103,0,0,0,0.000000," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{3}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)^3/sqrt(b*sec(d*x + c)), x)","F",0
104,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/sqrt(b*sec(d*x + c)), x)","F",0
105,0,0,0,0.000000," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sec(d*x + c)/sqrt(b*sec(d*x + c)), x)","F",0
106,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/sqrt(b*sec(d*x + c)), x)","F",0
107,0,0,0,0.000000," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)/sqrt(b*sec(d*x + c)), x)","F",0
108,0,0,0,0.000000," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{2}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)^2/sqrt(b*sec(d*x + c)), x)","F",0
109,0,0,0,0.000000," ","integrate(cos(d*x+c)^3/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{3}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)^3/sqrt(b*sec(d*x + c)), x)","F",0
110,0,0,0,0.000000," ","integrate(cos(d*x+c)^4/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{4}}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(cos(d*x + c)^4/sqrt(b*sec(d*x + c)), x)","F",0
111,0,0,0,0.000000," ","integrate(sec(d*x+c)^6/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{6}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^6/(b*sec(d*x + c))^(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{5}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^5/(b*sec(d*x + c))^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{4}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^4/(b*sec(d*x + c))^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{3}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^3/(b*sec(d*x + c))^(3/2), x)","F",0
115,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/(b*sec(d*x + c))^(3/2), x)","F",0
116,0,0,0,0.000000," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)/(b*sec(d*x + c))^(3/2), x)","F",0
117,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(-3/2), x)","F",0
118,0,0,0,0.000000," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(d*x + c)/(b*sec(d*x + c))^(3/2), x)","F",0
119,0,0,0,0.000000," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(d*x + c)^2/(b*sec(d*x + c))^(3/2), x)","F",0
120,0,0,0,0.000000," ","integrate(cos(d*x+c)^3/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{3}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(d*x + c)^3/(b*sec(d*x + c))^(3/2), x)","F",0
121,0,0,0,0.000000," ","integrate(sec(d*x+c)^7/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{7}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^7/(b*sec(d*x + c))^(5/2), x)","F",0
122,0,0,0,0.000000," ","integrate(sec(d*x+c)^6/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{6}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^6/(b*sec(d*x + c))^(5/2), x)","F",0
123,0,0,0,0.000000," ","integrate(sec(d*x+c)^5/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{5}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^5/(b*sec(d*x + c))^(5/2), x)","F",0
124,0,0,0,0.000000," ","integrate(sec(d*x+c)^4/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{4}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^4/(b*sec(d*x + c))^(5/2), x)","F",0
125,0,0,0,0.000000," ","integrate(sec(d*x+c)^3/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{3}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^3/(b*sec(d*x + c))^(5/2), x)","F",0
126,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/(b*sec(d*x + c))^(5/2), x)","F",0
127,0,0,0,0.000000," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)/(b*sec(d*x + c))^(5/2), x)","F",0
128,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(-5/2), x)","F",0
129,0,0,0,0.000000," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(d*x + c)/(b*sec(d*x + c))^(5/2), x)","F",0
130,0,0,0,0.000000," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(d*x + c)^2/(b*sec(d*x + c))^(5/2), x)","F",0
131,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(-7/2), x)","F",0
132,0,0,0,0.000000," ","integrate(sec(d*x+c)^(9/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^(9/2), x)","F",0
133,0,0,0,0.000000," ","integrate(sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^(7/2), x)","F",0
134,0,0,0,0.000000," ","integrate(sec(d*x+c)^(5/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^(5/2), x)","F",0
135,0,0,0,0.000000," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sec(d*x + c)^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate(sec(d*x+c)^(1/2)*(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(d x + c\right)} \sqrt{\sec\left(d x + c\right)}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))*sqrt(sec(d*x + c)), x)","F",0
137,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)/sec(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(d x + c\right)}}{\sqrt{\sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(sqrt(b*sec(d*x + c))/sqrt(sec(d*x + c)), x)","F",0
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142,0,0,0,0.000000," ","integrate(sec(d*x+c)^(7/2)*(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(3/2)*sec(d*x + c)^(7/2), x)","F",0
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166,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(d*x + c))*sec(d*x + c)^(3/2)), x)","F",0
167,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(d*x + c))*sec(d*x + c)^(5/2)), x)","F",0
168,0,0,0,0.000000," ","integrate(sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{9}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(9/2)/(b*sec(d*x + c))^(3/2), x)","F",0
169,0,0,0,0.000000," ","integrate(sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{7}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(7/2)/(b*sec(d*x + c))^(3/2), x)","F",0
170,0,0,0,0.000000," ","integrate(sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{5}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(5/2)/(b*sec(d*x + c))^(3/2), x)","F",0
171,0,0,0,0.000000," ","integrate(sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{3}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(3/2)/(b*sec(d*x + c))^(3/2), x)","F",0
172,0,0,0,0.000000," ","integrate(sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{\sec\left(d x + c\right)}}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(sec(d*x + c))/(b*sec(d*x + c))^(3/2), x)","F",0
173,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sqrt{\sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x + c))^(3/2)*sqrt(sec(d*x + c))), x)","F",0
174,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x + c))^(3/2)*sec(d*x + c)^(3/2)), x)","F",0
175,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}} \sec\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x + c))^(3/2)*sec(d*x + c)^(5/2)), x)","F",0
176,0,0,0,0.000000," ","integrate(sec(d*x+c)^(11/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{11}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(11/2)/(b*sec(d*x + c))^(5/2), x)","F",0
177,0,0,0,0.000000," ","integrate(sec(d*x+c)^(9/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{9}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(9/2)/(b*sec(d*x + c))^(5/2), x)","F",0
178,0,0,0,0.000000," ","integrate(sec(d*x+c)^(7/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{7}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(7/2)/(b*sec(d*x + c))^(5/2), x)","F",0
179,0,0,0,0.000000," ","integrate(sec(d*x+c)^(5/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{5}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(5/2)/(b*sec(d*x + c))^(5/2), x)","F",0
180,0,0,0,0.000000," ","integrate(sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{\frac{3}{2}}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^(3/2)/(b*sec(d*x + c))^(5/2), x)","F",0
181,0,0,0,0.000000," ","integrate(sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{\sec\left(d x + c\right)}}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(sec(d*x + c))/(b*sec(d*x + c))^(5/2), x)","F",0
182,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(1/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \sqrt{\sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x + c))^(5/2)*sqrt(sec(d*x + c))), x)","F",0
183,0,0,0,0.000000," ","integrate(1/sec(d*x+c)^(3/2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}} \sec\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(d*x + c))^(5/2)*sec(d*x + c)^(3/2)), x)","F",0
184,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
185,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
186,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3), x)","F",0
187,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3)*cos(d*x + c), x)","F",0
188,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3)*cos(d*x + c)^2, x)","F",0
189,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3)*sec(d*x + c)^2, x)","F",0
190,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3)*sec(d*x + c), x)","F",0
191,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3), x)","F",0
192,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3)*cos(d*x + c), x)","F",0
193,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3)*cos(d*x + c)^2, x)","F",0
194,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/(b*sec(d*x + c))^(1/3), x)","F",0
195,0,0,0,0.000000," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)/(b*sec(d*x + c))^(1/3), x)","F",0
196,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(-1/3), x)","F",0
197,0,0,0,0.000000," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cos(d*x + c)/(b*sec(d*x + c))^(1/3), x)","F",0
198,0,0,0,0.000000," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cos(d*x + c)^2/(b*sec(d*x + c))^(1/3), x)","F",0
199,0,0,0,0.000000," ","integrate(sec(d*x+c)^2/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^2/(b*sec(d*x + c))^(4/3), x)","F",0
200,0,0,0,0.000000," ","integrate(sec(d*x+c)/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)/(b*sec(d*x + c))^(4/3), x)","F",0
201,0,0,0,0.000000," ","integrate(1/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(-4/3), x)","F",0
202,0,0,0,0.000000," ","integrate(cos(d*x+c)/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(cos(d*x + c)/(b*sec(d*x + c))^(4/3), x)","F",0
203,0,0,0,0.000000," ","integrate(cos(d*x+c)^2/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{\cos\left(d x + c\right)^{2}}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(cos(d*x + c)^2/(b*sec(d*x + c))^(4/3), x)","F",0
204,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(4/3)*sec(d*x + c)^m, x)","F",0
205,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(2/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(2/3)*sec(d*x + c)^m, x)","F",0
206,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^(1/3)*sec(d*x + c)^m, x)","F",0
207,0,0,0,0.000000," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{m}}{\left(b \sec\left(d x + c\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^m/(b*sec(d*x + c))^(1/3), x)","F",0
208,0,0,0,0.000000," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(2/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{m}}{\left(b \sec\left(d x + c\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^m/(b*sec(d*x + c))^(2/3), x)","F",0
209,0,0,0,0.000000," ","integrate(sec(d*x+c)^m/(b*sec(d*x+c))^(4/3),x, algorithm=""giac"")","\int \frac{\sec\left(d x + c\right)^{m}}{\left(b \sec\left(d x + c\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sec(d*x + c)^m/(b*sec(d*x + c))^(4/3), x)","F",0
210,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sec(d*x + c)^m, x)","F",0
211,0,0,0,0.000000," ","integrate(sec(d*x+c)^2*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sec(d*x + c)^2, x)","F",0
212,0,0,0,0.000000," ","integrate(sec(d*x+c)*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sec(d*x + c), x)","F",0
213,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n, x)","F",0
214,0,0,0,0.000000," ","integrate(cos(d*x+c)*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*cos(d*x + c), x)","F",0
215,0,0,0,0.000000," ","integrate(cos(d*x+c)^2*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*cos(d*x + c)^2, x)","F",0
216,0,0,0,0.000000," ","integrate(cos(d*x+c)^3*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*cos(d*x + c)^3, x)","F",0
217,0,0,0,0.000000," ","integrate(sec(d*x+c)^(5/2)*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sec(d*x + c)^(5/2), x)","F",0
218,0,0,0,0.000000," ","integrate(sec(d*x+c)^(3/2)*(b*sec(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sec(d*x + c)^(3/2), x)","F",0
219,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^n*sec(d*x+c)^(1/2),x, algorithm=""giac"")","\int \left(b \sec\left(d x + c\right)\right)^{n} \sqrt{\sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n*sqrt(sec(d*x + c)), x)","F",0
220,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sqrt{\sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n/sqrt(sec(d*x + c)), x)","F",0
221,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sec\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n/sec(d*x + c)^(3/2), x)","F",0
222,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^n/sec(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{\left(b \sec\left(d x + c\right)\right)^{n}}{\sec\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(d*x + c))^n/sec(d*x + c)^(5/2), x)","F",0
223,1,154,0,1.645115," ","integrate((d*sec(b*x+a))^(7/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{4 \, {\left(5 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{4} d - 10 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{2} d^{2} + d^{3}\right)} d^{3} \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{5 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d} - \sqrt{-d}\right)}^{5} b}"," ",0,"-4/5*(5*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^4*d - 10*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^2*d^2 + d^3)*d^3*sgn(cos(b*x + a))/((sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d) - sqrt(-d))^5*b)","B",0
224,1,111,0,1.592006," ","integrate((d*sec(b*x+a))^(5/2)*sin(b*x+a),x, algorithm=""giac"")","\frac{4 \, {\left(3 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{2} d - d^{2}\right)} d^{2} \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{3 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d} - \sqrt{-d}\right)}^{3} b}"," ",0,"4/3*(3*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^2*d - d^2)*d^2*sgn(cos(b*x + a))/((sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d) - sqrt(-d))^3*b)","B",0
225,1,62,0,1.491750," ","integrate((d*sec(b*x+a))^(3/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{4 \, d^{2} \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{{\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d} - \sqrt{-d}\right)} b}"," ",0,"-4*d^2*sgn(cos(b*x + a))/((sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d) - sqrt(-d))*b)","B",0
226,1,22,0,0.316760," ","integrate((d*sec(b*x+a))^(1/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{2 \, \sqrt{d \cos\left(b x + a\right)} \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{b}"," ",0,"-2*sqrt(d*cos(b*x + a))*sgn(cos(b*x + a))/b","A",0
227,1,35,0,1.757958," ","integrate(sin(b*x+a)/(d*sec(b*x+a))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{d \cos\left(b x + a\right)} {\left| b \right|} \cos\left(b x + a\right) \mathrm{sgn}\left(b\right) \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{3 \, b^{2} d}"," ",0,"-2/3*sqrt(d*cos(b*x + a))*abs(b)*cos(b*x + a)*sgn(b)*sgn(cos(b*x + a))/(b^2*d)","B",0
228,0,0,0,0.000000," ","integrate((d*sec(b*x+a))^(5/2)*sin(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \sec\left(b x + a\right)\right)^{\frac{5}{2}} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*sec(b*x + a))^(5/2)*sin(b*x + a)^3, x)","F",0
229,1,257,0,1.830871," ","integrate((d*sec(b*x+a))^(9/2)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{16 \, {\left(21 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{5} \sqrt{-d} d + 7 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{4} d^{2} - 28 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)}^{3} \sqrt{-d} d^{2} + 7 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}\right)} \sqrt{-d} d^{3} + d^{4}\right)} d^{4} \mathrm{sgn}\left(\cos\left(b x + a\right)\right)}{21 \, {\left(\sqrt{-d} \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d} - \sqrt{-d}\right)}^{7} b}"," ",0,"16/21*(21*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^5*sqrt(-d)*d + 7*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^4*d^2 - 28*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^3*sqrt(-d)*d^2 + 7*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))*sqrt(-d)*d^3 + d^4)*d^4*sgn(cos(b*x + a))/((sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d) - sqrt(-d))^7*b)","B",0
230,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}} \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)*sqrt(c*sec(b*x + a)), x)","F",0
231,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}} \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)*sqrt(c*sec(b*x + a)), x)","F",0
232,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)*sqrt(c*sec(b*x + a)), x)","F",0
233,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)*sqrt(c*sec(b*x + a)), x)","F",0
234,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a)), x)","F",0
235,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sec\left(b x + a\right)}}{\sqrt{d \csc\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(c*sec(b*x + a))/sqrt(d*csc(b*x + a)), x)","F",0
236,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sec\left(b x + a\right)}}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sec(b*x + a))/(d*csc(b*x + a))^(3/2), x)","F",0
237,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(1/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sec\left(b x + a\right)}}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sec(b*x + a))/(d*csc(b*x + a))^(5/2), x)","F",0
238,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)*(c*sec(b*x + a))^(3/2), x)","F",0
239,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)*(c*sec(b*x + a))^(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)*(c*sec(b*x + a))^(3/2), x)","F",0
241,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)*(c*sec(b*x + a))^(3/2), x)","F",0
242,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(b x + a\right)} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))*(c*sec(b*x + a))^(3/2), x)","F",0
243,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}{\sqrt{d \csc\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(3/2)/sqrt(d*csc(b*x + a)), x)","F",0
244,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(3/2)/(d*csc(b*x + a))^(3/2), x)","F",0
245,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(3/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(3/2)/(d*csc(b*x + a))^(5/2), x)","F",0
246,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)*(c*sec(b*x + a))^(5/2), x)","F",0
247,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)*(c*sec(b*x + a))^(5/2), x)","F",0
248,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)*(c*sec(b*x + a))^(5/2), x)","F",0
249,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)*(c*sec(b*x + a))^(5/2), x)","F",0
250,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)*(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(b x + a\right)} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))*(c*sec(b*x + a))^(5/2), x)","F",0
251,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}{\sqrt{d \csc\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(5/2)/sqrt(d*csc(b*x + a)), x)","F",0
252,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(5/2)/(d*csc(b*x + a))^(3/2), x)","F",0
253,0,0,0,0.000000," ","integrate((c*sec(b*x+a))^(5/2)/(d*csc(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sec(b*x + a))^(5/2)/(d*csc(b*x + a))^(5/2), x)","F",0
254,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}}}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)/sqrt(c*sec(b*x + a)), x)","F",0
255,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}}}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)/sqrt(c*sec(b*x + a)), x)","F",0
256,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)/sqrt(c*sec(b*x + a)), x)","F",0
257,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)/sqrt(c*sec(b*x + a)), x)","F",0
258,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d \csc\left(b x + a\right)}}{\sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))/sqrt(c*sec(b*x + a)), x)","F",0
259,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d \csc\left(b x + a\right)} \sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*csc(b*x + a))*sqrt(c*sec(b*x + a))), x)","F",0
260,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(3/2)*sqrt(c*sec(b*x + a))), x)","F",0
261,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \sqrt{c \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(5/2)*sqrt(c*sec(b*x + a))), x)","F",0
262,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(11/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{11}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(11/2)/(c*sec(b*x + a))^(3/2), x)","F",0
263,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)/(c*sec(b*x + a))^(3/2), x)","F",0
264,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)/(c*sec(b*x + a))^(3/2), x)","F",0
265,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)/(c*sec(b*x + a))^(3/2), x)","F",0
266,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)/(c*sec(b*x + a))^(3/2), x)","F",0
267,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{d \csc\left(b x + a\right)}}{\left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))/(c*sec(b*x + a))^(3/2), x)","F",0
268,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d \csc\left(b x + a\right)} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(d*csc(b*x + a))*(c*sec(b*x + a))^(3/2)), x)","F",0
269,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(3/2)*(c*sec(b*x + a))^(3/2)), x)","F",0
270,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(5/2)*(c*sec(b*x + a))^(3/2)), x)","F",0
271,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(9/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{9}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(9/2)/(c*sec(b*x + a))^(5/2), x)","F",0
272,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(7/2)/(c*sec(b*x + a))^(5/2), x)","F",0
273,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(5/2)/(c*sec(b*x + a))^(5/2), x)","F",0
274,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*csc(b*x + a))^(3/2)/(c*sec(b*x + a))^(5/2), x)","F",0
275,0,0,0,0.000000," ","integrate((d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{d \csc\left(b x + a\right)}}{\left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*csc(b*x + a))/(c*sec(b*x + a))^(5/2), x)","F",0
276,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(1/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d \csc\left(b x + a\right)} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(d*csc(b*x + a))*(c*sec(b*x + a))^(5/2)), x)","F",0
277,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(3/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(3/2)*(c*sec(b*x + a))^(5/2)), x)","F",0
278,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(5/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(5/2)*(c*sec(b*x + a))^(5/2)), x)","F",0
279,0,0,0,0.000000," ","integrate(1/(d*csc(b*x+a))^(7/2)/(c*sec(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(b x + a\right)\right)^{\frac{7}{2}} \left(c \sec\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*csc(b*x + a))^(7/2)*(c*sec(b*x + a))^(5/2)), x)","F",0
280,0,0,0,0.000000," ","integrate(csc(f*x+e)^n*sec(f*x+e)^m,x, algorithm=""giac"")","\int \csc\left(f x + e\right)^{n} \sec\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate(csc(f*x + e)^n*sec(f*x + e)^m, x)","F",0
281,0,0,0,0.000000," ","integrate(csc(f*x+e)^n*(a*sec(f*x+e))^m,x, algorithm=""giac"")","\int \left(a \sec\left(f x + e\right)\right)^{m} \csc\left(f x + e\right)^{n}\,{d x}"," ",0,"integrate((a*sec(f*x + e))^m*csc(f*x + e)^n, x)","F",0
282,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^m,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^m, x)","F",0
283,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*(a*sec(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \left(a \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*(a*sec(f*x + e))^m, x)","F",0
284,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^5,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^5, x)","F",0
285,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^3,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^3, x)","F",0
286,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e),x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e), x)","F",0
287,0,0,0,0.000000," ","integrate(cos(f*x+e)*(b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*cos(f*x + e), x)","F",0
288,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*cos(f*x + e)^3, x)","F",0
289,0,0,0,0.000000," ","integrate(cos(f*x+e)^5*(b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*cos(f*x + e)^5, x)","F",0
290,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^6,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^6, x)","F",0
291,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^4,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^4, x)","F",0
292,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*sec(f*x+e)^2,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*sec(f*x + e)^2, x)","F",0
293,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n, x)","F",0
294,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*cos(f*x + e)^2, x)","F",0
295,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(b*csc(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*cos(f*x + e)^4, x)","F",0
296,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*(c*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(c \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \csc\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sec(f*x + e))^(3/2)*(b*csc(f*x + e))^n, x)","F",0
297,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*(c*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \sec\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate(sqrt(c*sec(f*x + e))*(b*csc(f*x + e))^n, x)","F",0
298,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n/(c*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\left(b \csc\left(f x + e\right)\right)^{n}}{\sqrt{c \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n/sqrt(c*sec(f*x + e)), x)","F",0
299,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n/(c*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\left(b \csc\left(f x + e\right)\right)^{n}}{\left(c \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n/(c*sec(f*x + e))^(3/2), x)","F",0
