1,1,11,0,0.289019," ","integrate(sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right)}{b}"," ",0,"-cos(b*x + a)/b","A",0
2,1,18,0,0.138078," ","integrate(sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/2*x - 1/4*sin(2*b*x + 2*a)/b","A",0
3,1,25,0,0.130791," ","integrate(sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{3}}{3 \, b} - \frac{\cos\left(b x + a\right)}{b}"," ",0,"1/3*cos(b*x + a)^3/b - cos(b*x + a)/b","A",0
4,1,32,0,0.141219," ","integrate(sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{8} \, x + \frac{\sin\left(4 \, b x + 4 \, a\right)}{32 \, b} - \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"3/8*x + 1/32*sin(4*b*x + 4*a)/b - 1/4*sin(2*b*x + 2*a)/b","A",0
5,1,38,0,0.138359," ","integrate(sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right)^{5}}{5 \, b} + \frac{2 \, \cos\left(b x + a\right)^{3}}{3 \, b} - \frac{\cos\left(b x + a\right)}{b}"," ",0,"-1/5*cos(b*x + a)^5/b + 2/3*cos(b*x + a)^3/b - cos(b*x + a)/b","A",0
6,1,46,0,0.115851," ","integrate(sin(b*x+a)^6,x, algorithm=""giac"")","\frac{5}{16} \, x - \frac{\sin\left(6 \, b x + 6 \, a\right)}{192 \, b} + \frac{3 \, \sin\left(4 \, b x + 4 \, a\right)}{64 \, b} - \frac{15 \, \sin\left(2 \, b x + 2 \, a\right)}{64 \, b}"," ",0,"5/16*x - 1/192*sin(6*b*x + 6*a)/b + 3/64*sin(4*b*x + 4*a)/b - 15/64*sin(2*b*x + 2*a)/b","A",0
7,1,50,0,0.116068," ","integrate(sin(b*x+a)^7,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{7}}{7 \, b} - \frac{3 \, \cos\left(b x + a\right)^{5}}{5 \, b} + \frac{\cos\left(b x + a\right)^{3}}{b} - \frac{\cos\left(b x + a\right)}{b}"," ",0,"1/7*cos(b*x + a)^7/b - 3/5*cos(b*x + a)^5/b + cos(b*x + a)^3/b - cos(b*x + a)/b","A",0
8,1,60,0,0.134149," ","integrate(sin(b*x+a)^8,x, algorithm=""giac"")","\frac{35}{128} \, x + \frac{\sin\left(8 \, b x + 8 \, a\right)}{1024 \, b} - \frac{\sin\left(6 \, b x + 6 \, a\right)}{96 \, b} + \frac{7 \, \sin\left(4 \, b x + 4 \, a\right)}{128 \, b} - \frac{7 \, \sin\left(2 \, b x + 2 \, a\right)}{32 \, b}"," ",0,"35/128*x + 1/1024*sin(8*b*x + 8*a)/b - 1/96*sin(6*b*x + 6*a)/b + 7/128*sin(4*b*x + 4*a)/b - 7/32*sin(2*b*x + 2*a)/b","A",0
9,0,0,0,0.000000," ","integrate(sin(b*x)^(7/2),x, algorithm=""giac"")","\int \sin\left(b x\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sin(b*x)^(7/2), x)","F",0
10,0,0,0,0.000000," ","integrate(sin(b*x)^(5/2),x, algorithm=""giac"")","\int \sin\left(b x\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sin(b*x)^(5/2), x)","F",0
11,0,0,0,0.000000," ","integrate(sin(b*x)^(3/2),x, algorithm=""giac"")","\int \sin\left(b x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sin(b*x)^(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate(sin(b*x)^(1/2),x, algorithm=""giac"")","\int \sqrt{\sin\left(b x\right)}\,{d x}"," ",0,"integrate(sqrt(sin(b*x)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/sin(b*x)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\sin\left(b x\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sin(b*x)), x)","F",0
14,0,0,0,0.000000," ","integrate(1/sin(b*x)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x)^(-3/2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/sin(b*x)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x)^(-5/2), x)","F",0
16,0,0,0,0.000000," ","integrate(1/sin(b*x)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x)^(-7/2), x)","F",0
17,0,0,0,0.000000," ","integrate(sin(b*x+a)^(7/2),x, algorithm=""giac"")","\int \sin\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(7/2), x)","F",0
18,0,0,0,0.000000," ","integrate(sin(b*x+a)^(5/2),x, algorithm=""giac"")","\int \sin\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(5/2), x)","F",0
19,0,0,0,0.000000," ","integrate(sin(b*x+a)^(3/2),x, algorithm=""giac"")","\int \sin\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(3/2), x)","F",0
20,0,0,0,0.000000," ","integrate(sin(b*x+a)^(1/2),x, algorithm=""giac"")","\int \sqrt{\sin\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(sin(b*x + a)), x)","F",0
21,0,0,0,0.000000," ","integrate(1/sin(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(sin(b*x + a)), x)","F",0
22,0,0,0,0.000000," ","integrate(1/sin(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(-3/2), x)","F",0
23,0,0,0,0.000000," ","integrate(1/sin(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(-5/2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/sin(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\sin\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(-7/2), x)","F",0
25,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(7/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(7/2), x)","F",0
26,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2), x)","F",0
27,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2), x)","F",0
28,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \sin\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a)), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(c*sin(b*x + a)), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-3/2), x)","F",0
31,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-5/2), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-7/2), x)","F",0
33,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(4/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(4/3), x)","F",0
34,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(2/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(2/3), x)","F",0
35,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/3),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(1/3), x)","F",0
36,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-1/3), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-2/3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(c*sin(b*x+a))^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \sin\left(b x + a\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(-4/3), x)","F",0
39,0,0,0,0.000000," ","integrate(sin(b*x+a)^n,x, algorithm=""giac"")","\int \sin\left(b x + a\right)^{n}\,{d x}"," ",0,"integrate(sin(b*x + a)^n, x)","F",0
40,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^n,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^n, x)","F",0
41,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*(b*sin(f*x+e))^n,x, algorithm=""giac"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \left(b \sin\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*(b*sin(f*x + e))^n, x)","F",0
42,1,24,0,0.208512," ","integrate(cos(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","-\frac{\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2}}{4 \, b}"," ",0,"-1/4*(sin(b*x + a)^4 - 2*sin(b*x + a)^2)/b","A",0
43,1,13,0,0.205936," ","integrate(cos(b*x+a)^2*sin(b*x+a),x, algorithm=""giac"")","-\frac{\cos\left(b x + a\right)^{3}}{3 \, b}"," ",0,"-1/3*cos(b*x + a)^3/b","A",0
44,1,13,0,0.165501," ","integrate(cos(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{2}}{2 \, b}"," ",0,"1/2*sin(b*x + a)^2/b","A",0
45,1,18,0,0.211535," ","integrate(sec(b*x+a)*sin(b*x+a),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| \cos\left(b x + a\right) \right|}}{{\left| b \right|}}\right)}{b}"," ",0,"-log(abs(cos(b*x + a))/abs(b))/b","A",0
46,1,12,0,1.176326," ","integrate(sec(b*x+a)^2*sin(b*x+a),x, algorithm=""giac"")","\frac{1}{b \cos\left(b x + a\right)}"," ",0,"1/(b*cos(b*x + a))","A",0
47,1,13,0,0.222110," ","integrate(sec(b*x+a)^3*sin(b*x+a),x, algorithm=""giac"")","\frac{1}{2 \, b \cos\left(b x + a\right)^{2}}"," ",0,"1/2/(b*cos(b*x + a)^2)","A",0
48,1,13,0,0.219186," ","integrate(sec(b*x+a)^4*sin(b*x+a),x, algorithm=""giac"")","\frac{1}{3 \, b \cos\left(b x + a\right)^{3}}"," ",0,"1/3/(b*cos(b*x + a)^3)","A",0
49,1,54,0,0.202262," ","integrate(cos(b*x+a)^7*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\sin\left(9 \, b x + 9 \, a\right)}{2304 \, b} - \frac{5 \, \sin\left(7 \, b x + 7 \, a\right)}{1792 \, b} - \frac{\sin\left(5 \, b x + 5 \, a\right)}{160 \, b} + \frac{7 \, \sin\left(b x + a\right)}{128 \, b}"," ",0,"-1/2304*sin(9*b*x + 9*a)/b - 5/1792*sin(7*b*x + 7*a)/b - 1/160*sin(5*b*x + 5*a)/b + 7/128*sin(b*x + a)/b","A",0
50,1,54,0,0.195032," ","integrate(cos(b*x+a)^5*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\sin\left(7 \, b x + 7 \, a\right)}{448 \, b} - \frac{3 \, \sin\left(5 \, b x + 5 \, a\right)}{320 \, b} - \frac{\sin\left(3 \, b x + 3 \, a\right)}{192 \, b} + \frac{5 \, \sin\left(b x + a\right)}{64 \, b}"," ",0,"-1/448*sin(7*b*x + 7*a)/b - 3/320*sin(5*b*x + 5*a)/b - 1/192*sin(3*b*x + 3*a)/b + 5/64*sin(b*x + a)/b","A",0
51,1,26,0,0.394789," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, \sin\left(b x + a\right)^{5} - 5 \, \sin\left(b x + a\right)^{3}}{15 \, b}"," ",0,"-1/15*(3*sin(b*x + a)^5 - 5*sin(b*x + a)^3)/b","A",0
52,1,13,0,0.227289," ","integrate(cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/3*sin(b*x + a)^3/b","A",0
53,1,18,0,0.191457," ","integrate(sec(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{b x + a - \tan\left(b x + a\right)}{b}"," ",0,"-(b*x + a - tan(b*x + a))/b","A",0
54,1,13,0,0.231339," ","integrate(sec(b*x+a)^4*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/3*tan(b*x + a)^3/b","A",0
55,1,26,0,0.420287," ","integrate(sec(b*x+a)^6*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{3 \, \tan\left(b x + a\right)^{5} + 5 \, \tan\left(b x + a\right)^{3}}{15 \, b}"," ",0,"1/15*(3*tan(b*x + a)^5 + 5*tan(b*x + a)^3)/b","A",0
56,1,36,0,0.292723," ","integrate(sec(b*x+a)^8*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{15 \, \tan\left(b x + a\right)^{7} + 42 \, \tan\left(b x + a\right)^{5} + 35 \, \tan\left(b x + a\right)^{3}}{105 \, b}"," ",0,"1/105*(15*tan(b*x + a)^7 + 42*tan(b*x + a)^5 + 35*tan(b*x + a)^3)/b","A",0
57,1,46,0,0.416189," ","integrate(sec(b*x+a)^10*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{35 \, \tan\left(b x + a\right)^{9} + 135 \, \tan\left(b x + a\right)^{7} + 189 \, \tan\left(b x + a\right)^{5} + 105 \, \tan\left(b x + a\right)^{3}}{315 \, b}"," ",0,"1/315*(35*tan(b*x + a)^9 + 135*tan(b*x + a)^7 + 189*tan(b*x + a)^5 + 105*tan(b*x + a)^3)/b","A",0
58,1,60,0,0.538712," ","integrate(cos(b*x+a)^6*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{5}{128} \, x - \frac{\sin\left(8 \, b x + 8 \, a\right)}{1024 \, b} - \frac{\sin\left(6 \, b x + 6 \, a\right)}{192 \, b} - \frac{\sin\left(4 \, b x + 4 \, a\right)}{128 \, b} + \frac{\sin\left(2 \, b x + 2 \, a\right)}{64 \, b}"," ",0,"5/128*x - 1/1024*sin(8*b*x + 8*a)/b - 1/192*sin(6*b*x + 6*a)/b - 1/128*sin(4*b*x + 4*a)/b + 1/64*sin(2*b*x + 2*a)/b","A",0
59,1,46,0,0.415914," ","integrate(cos(b*x+a)^4*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{16} \, x - \frac{\sin\left(6 \, b x + 6 \, a\right)}{192 \, b} - \frac{\sin\left(4 \, b x + 4 \, a\right)}{64 \, b} + \frac{\sin\left(2 \, b x + 2 \, a\right)}{64 \, b}"," ",0,"1/16*x - 1/192*sin(6*b*x + 6*a)/b - 1/64*sin(4*b*x + 4*a)/b + 1/64*sin(2*b*x + 2*a)/b","A",0
60,1,18,0,0.175149," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{8} \, x - \frac{\sin\left(4 \, b x + 4 \, a\right)}{32 \, b}"," ",0,"1/8*x - 1/32*sin(4*b*x + 4*a)/b","A",0
61,1,18,0,0.209707," ","integrate(sin(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/2*x - 1/4*sin(2*b*x + 2*a)/b","A",0
62,1,36,0,0.250971," ","integrate(sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) - \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right) - 2 \, \sin\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(log(abs(sin(b*x + a) + 1)) - log(abs(sin(b*x + a) - 1)) - 2*sin(b*x + a))/b","A",0
63,1,48,0,0.529562," ","integrate(sec(b*x+a)^3*sin(b*x+a)^2,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
64,1,82,0,0.254732," ","integrate(sec(b*x+a)^5*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)\right)}}{{\left(\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)\right)}^{2} - 4} - \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)}{32 \, b}"," ",0,"1/32*(4*(1/sin(b*x + a) + sin(b*x + a))/((1/sin(b*x + a) + sin(b*x + a))^2 - 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","A",0
65,1,73,0,0.269747," ","integrate(sec(b*x+a)^7*sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{5} - 8 \, \sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{3}} - 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)}{96 \, b}"," ",0,"1/96*(2*(3*sin(b*x + a)^5 - 8*sin(b*x + a)^3 - 3*sin(b*x + a))/(sin(b*x + a)^2 - 1)^3 - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)))/b","A",0
66,1,27,0,0.197273," ","integrate(cos(b*x+a)^5*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{8}}{8 \, b} - \frac{\cos\left(b x + a\right)^{6}}{6 \, b}"," ",0,"1/8*cos(b*x + a)^8/b - 1/6*cos(b*x + a)^6/b","A",0
67,1,27,0,0.187978," ","integrate(cos(b*x+a)^4*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{7}}{7 \, b} - \frac{\cos\left(b x + a\right)^{5}}{5 \, b}"," ",0,"1/7*cos(b*x + a)^7/b - 1/5*cos(b*x + a)^5/b","A",0
68,1,26,0,0.202174," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, \sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4}}{12 \, b}"," ",0,"-1/12*(2*sin(b*x + a)^6 - 3*sin(b*x + a)^4)/b","A",0
69,1,27,0,0.180565," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{5}}{5 \, b} - \frac{\cos\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/5*cos(b*x + a)^5/b - 1/3*cos(b*x + a)^3/b","A",0
70,1,13,0,0.178029," ","integrate(cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{4}}{4 \, b}"," ",0,"1/4*sin(b*x + a)^4/b","A",0
71,1,29,0,0.508396," ","integrate(sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)^{2} - \log\left(\frac{\cos\left(b x + a\right)^{2}}{b^{2}}\right)}{2 \, b}"," ",0,"1/2*(cos(b*x + a)^2 - log(cos(b*x + a)^2/b^2))/b","A",0
72,1,23,0,0.434841," ","integrate(sec(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\cos\left(b x + a\right)}{b} + \frac{1}{b \cos\left(b x + a\right)}"," ",0,"cos(b*x + a)/b + 1/(b*cos(b*x + a))","A",0
73,1,42,0,0.331020," ","integrate(sec(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\log\left(\frac{\cos\left(b x + a\right)^{2}}{b^{2}}\right)}{2 \, b} - \frac{\cos\left(b x + a\right)^{2} - 1}{2 \, b \cos\left(b x + a\right)^{2}}"," ",0,"1/2*log(cos(b*x + a)^2/b^2)/b - 1/2*(cos(b*x + a)^2 - 1)/(b*cos(b*x + a)^2)","A",0
74,1,25,0,0.529644," ","integrate(sec(b*x+a)^4*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, \cos\left(b x + a\right)^{2} - 1}{3 \, b \cos\left(b x + a\right)^{3}}"," ",0,"-1/3*(3*cos(b*x + a)^2 - 1)/(b*cos(b*x + a)^3)","A",0
75,1,25,0,0.240350," ","integrate(sec(b*x+a)^5*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, \cos\left(b x + a\right)^{2} - 1}{4 \, b \cos\left(b x + a\right)^{4}}"," ",0,"-1/4*(2*cos(b*x + a)^2 - 1)/(b*cos(b*x + a)^4)","A",0
76,1,25,0,0.244493," ","integrate(sec(b*x+a)^6*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{5 \, \cos\left(b x + a\right)^{2} - 3}{15 \, b \cos\left(b x + a\right)^{5}}"," ",0,"-1/15*(5*cos(b*x + a)^2 - 3)/(b*cos(b*x + a)^5)","A",0
77,1,25,0,0.272544," ","integrate(sec(b*x+a)^7*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{3 \, \cos\left(b x + a\right)^{2} - 2}{12 \, b \cos\left(b x + a\right)^{6}}"," ",0,"-1/12*(3*cos(b*x + a)^2 - 2)/(b*cos(b*x + a)^6)","A",0
78,1,25,0,0.233521," ","integrate(sec(b*x+a)^8*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{7 \, \cos\left(b x + a\right)^{2} - 5}{35 \, b \cos\left(b x + a\right)^{7}}"," ",0,"-1/35*(7*cos(b*x + a)^2 - 5)/(b*cos(b*x + a)^7)","A",0
79,1,25,0,0.342901," ","integrate(sec(b*x+a)^9*sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{4 \, \cos\left(b x + a\right)^{2} - 3}{24 \, b \cos\left(b x + a\right)^{8}}"," ",0,"-1/24*(4*cos(b*x + a)^2 - 3)/(b*cos(b*x + a)^8)","A",0
80,1,82,0,0.238958," ","integrate(cos(b*x+a)^7*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\sin\left(11 \, b x + 11 \, a\right)}{11264 \, b} + \frac{\sin\left(9 \, b x + 9 \, a\right)}{3072 \, b} - \frac{\sin\left(7 \, b x + 7 \, a\right)}{7168 \, b} - \frac{11 \, \sin\left(5 \, b x + 5 \, a\right)}{5120 \, b} - \frac{\sin\left(3 \, b x + 3 \, a\right)}{512 \, b} + \frac{7 \, \sin\left(b x + a\right)}{512 \, b}"," ",0,"1/11264*sin(11*b*x + 11*a)/b + 1/3072*sin(9*b*x + 9*a)/b - 1/7168*sin(7*b*x + 7*a)/b - 11/5120*sin(5*b*x + 5*a)/b - 1/512*sin(3*b*x + 3*a)/b + 7/512*sin(b*x + a)/b","A",0
81,1,68,0,0.221091," ","integrate(cos(b*x+a)^5*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\sin\left(9 \, b x + 9 \, a\right)}{2304 \, b} + \frac{\sin\left(7 \, b x + 7 \, a\right)}{1792 \, b} - \frac{\sin\left(5 \, b x + 5 \, a\right)}{320 \, b} - \frac{\sin\left(3 \, b x + 3 \, a\right)}{192 \, b} + \frac{3 \, \sin\left(b x + a\right)}{128 \, b}"," ",0,"1/2304*sin(9*b*x + 9*a)/b + 1/1792*sin(7*b*x + 7*a)/b - 1/320*sin(5*b*x + 5*a)/b - 1/192*sin(3*b*x + 3*a)/b + 3/128*sin(b*x + a)/b","A",0
82,1,26,0,0.242481," ","integrate(cos(b*x+a)^3*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{5 \, \sin\left(b x + a\right)^{7} - 7 \, \sin\left(b x + a\right)^{5}}{35 \, b}"," ",0,"-1/35*(5*sin(b*x + a)^7 - 7*sin(b*x + a)^5)/b","A",0
83,1,13,0,0.223207," ","integrate(cos(b*x+a)*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{5}}{5 \, b}"," ",0,"1/5*sin(b*x + a)^5/b","A",0
84,1,41,0,0.361540," ","integrate(sec(b*x+a)^2*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{3 \, b x + 3 \, a - \frac{\tan\left(b x + a\right)}{\tan\left(b x + a\right)^{2} + 1} - 2 \, \tan\left(b x + a\right)}{2 \, b}"," ",0,"-1/2*(3*b*x + 3*a - tan(b*x + a)/(tan(b*x + a)^2 + 1) - 2*tan(b*x + a))/b","A",0
85,1,29,0,0.250705," ","integrate(sec(b*x+a)^4*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)^{3} + 3 \, b x + 3 \, a - 3 \, \tan\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(tan(b*x + a)^3 + 3*b*x + 3*a - 3*tan(b*x + a))/b","A",0
86,1,13,0,0.203385," ","integrate(sec(b*x+a)^6*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)^{5}}{5 \, b}"," ",0,"1/5*tan(b*x + a)^5/b","A",0
87,1,26,0,0.250781," ","integrate(sec(b*x+a)^8*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{5 \, \tan\left(b x + a\right)^{7} + 7 \, \tan\left(b x + a\right)^{5}}{35 \, b}"," ",0,"1/35*(5*tan(b*x + a)^7 + 7*tan(b*x + a)^5)/b","A",0
88,1,36,0,0.252575," ","integrate(sec(b*x+a)^10*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{35 \, \tan\left(b x + a\right)^{9} + 90 \, \tan\left(b x + a\right)^{7} + 63 \, \tan\left(b x + a\right)^{5}}{315 \, b}"," ",0,"1/315*(35*tan(b*x + a)^9 + 90*tan(b*x + a)^7 + 63*tan(b*x + a)^5)/b","A",0
89,1,74,0,1.869317," ","integrate(cos(b*x+a)^6*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{256} \, x + \frac{\sin\left(10 \, b x + 10 \, a\right)}{5120 \, b} + \frac{\sin\left(8 \, b x + 8 \, a\right)}{2048 \, b} - \frac{\sin\left(6 \, b x + 6 \, a\right)}{1024 \, b} - \frac{\sin\left(4 \, b x + 4 \, a\right)}{256 \, b} + \frac{\sin\left(2 \, b x + 2 \, a\right)}{512 \, b}"," ",0,"3/256*x + 1/5120*sin(10*b*x + 10*a)/b + 1/2048*sin(8*b*x + 8*a)/b - 1/1024*sin(6*b*x + 6*a)/b - 1/256*sin(4*b*x + 4*a)/b + 1/512*sin(2*b*x + 2*a)/b","A",0
90,1,32,0,1.130467," ","integrate(cos(b*x+a)^4*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{128} \, x + \frac{\sin\left(8 \, b x + 8 \, a\right)}{1024 \, b} - \frac{\sin\left(4 \, b x + 4 \, a\right)}{128 \, b}"," ",0,"3/128*x + 1/1024*sin(8*b*x + 8*a)/b - 1/128*sin(4*b*x + 4*a)/b","A",0
91,1,46,0,0.323238," ","integrate(cos(b*x+a)^2*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{1}{16} \, x + \frac{\sin\left(6 \, b x + 6 \, a\right)}{192 \, b} - \frac{\sin\left(4 \, b x + 4 \, a\right)}{64 \, b} - \frac{\sin\left(2 \, b x + 2 \, a\right)}{64 \, b}"," ",0,"1/16*x + 1/192*sin(6*b*x + 6*a)/b - 1/64*sin(4*b*x + 4*a)/b - 1/64*sin(2*b*x + 2*a)/b","A",0
92,1,32,0,0.177356," ","integrate(sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{8} \, x + \frac{\sin\left(4 \, b x + 4 \, a\right)}{32 \, b} - \frac{\sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"3/8*x + 1/32*sin(4*b*x + 4*a)/b - 1/4*sin(2*b*x + 2*a)/b","A",0
93,1,48,0,0.561726," ","integrate(sec(b*x+a)*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{2 \, \sin\left(b x + a\right)^{3} - 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) + 6 \, \sin\left(b x + a\right)}{6 \, b}"," ",0,"-1/6*(2*sin(b*x + a)^3 - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)) + 6*sin(b*x + a))/b","A",0
94,1,58,0,0.861648," ","integrate(sec(b*x+a)^3*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{2 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} + 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) - 4 \, \sin\left(b x + a\right)}{4 \, b}"," ",0,"-1/4*(2*sin(b*x + a)/(sin(b*x + a)^2 - 1) + 3*log(abs(sin(b*x + a) + 1)) - 3*log(abs(sin(b*x + a) - 1)) - 4*sin(b*x + a))/b","A",0
95,1,63,0,0.392356," ","integrate(sec(b*x+a)^5*sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(5 \, \sin\left(b x + a\right)^{3} - 3 \, \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*(5*sin(b*x + a)^3 - 3*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
96,1,73,0,0.534929," ","integrate(sec(b*x+a)^7*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{5} + 8 \, \sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{3}} - 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)}{96 \, b}"," ",0,"-1/96*(2*(3*sin(b*x + a)^5 + 8*sin(b*x + a)^3 - 3*sin(b*x + a))/(sin(b*x + a)^2 - 1)^3 - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)))/b","A",0
97,1,107,0,1.020332," ","integrate(sec(b*x+a)^9*sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(3 \, {\left(\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)\right)}^{3} - \frac{20}{\sin\left(b x + a\right)} - 20 \, \sin\left(b x + a\right)\right)}}{{\left({\left(\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)\right)}^{2} - 4\right)}^{2}} - 3 \, \log\left({\left| \frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right) + 2 \right|}\right) + 3 \, \log\left({\left| \frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right) - 2 \right|}\right)}{512 \, b}"," ",0,"-1/512*(4*(3*(1/sin(b*x + a) + sin(b*x + a))^3 - 20/sin(b*x + a) - 20*sin(b*x + a))/((1/sin(b*x + a) + sin(b*x + a))^2 - 4)^2 - 3*log(abs(1/sin(b*x + a) + sin(b*x + a) + 2)) + 3*log(abs(1/sin(b*x + a) + sin(b*x + a) - 2)))/b","A",0
98,1,85,0,0.257458," ","integrate(cos(b*x+a)^7*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(12 \, b x + 12 \, a\right)}{24576 \, b} - \frac{\cos\left(10 \, b x + 10 \, a\right)}{10240 \, b} + \frac{\cos\left(8 \, b x + 8 \, a\right)}{4096 \, b} + \frac{5 \, \cos\left(6 \, b x + 6 \, a\right)}{6144 \, b} - \frac{5 \, \cos\left(4 \, b x + 4 \, a\right)}{8192 \, b} - \frac{5 \, \cos\left(2 \, b x + 2 \, a\right)}{1024 \, b}"," ",0,"-1/24576*cos(12*b*x + 12*a)/b - 1/10240*cos(10*b*x + 10*a)/b + 1/4096*cos(8*b*x + 8*a)/b + 5/6144*cos(6*b*x + 6*a)/b - 5/8192*cos(4*b*x + 4*a)/b - 5/1024*cos(2*b*x + 2*a)/b","B",0
99,1,82,0,0.247641," ","integrate(cos(b*x+a)^6*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(11 \, b x + 11 \, a\right)}{11264 \, b} - \frac{\cos\left(9 \, b x + 9 \, a\right)}{9216 \, b} + \frac{5 \, \cos\left(7 \, b x + 7 \, a\right)}{7168 \, b} + \frac{\cos\left(5 \, b x + 5 \, a\right)}{1024 \, b} - \frac{5 \, \cos\left(3 \, b x + 3 \, a\right)}{1536 \, b} - \frac{5 \, \cos\left(b x + a\right)}{512 \, b}"," ",0,"-1/11264*cos(11*b*x + 11*a)/b - 1/9216*cos(9*b*x + 9*a)/b + 5/7168*cos(7*b*x + 7*a)/b + 1/1024*cos(5*b*x + 5*a)/b - 5/1536*cos(3*b*x + 3*a)/b - 5/512*cos(b*x + a)/b","B",0
100,1,43,0,0.223106," ","integrate(cos(b*x+a)^5*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(10 \, b x + 10 \, a\right)}{5120 \, b} + \frac{5 \, \cos\left(6 \, b x + 6 \, a\right)}{3072 \, b} - \frac{5 \, \cos\left(2 \, b x + 2 \, a\right)}{512 \, b}"," ",0,"-1/5120*cos(10*b*x + 10*a)/b + 5/3072*cos(6*b*x + 6*a)/b - 5/512*cos(2*b*x + 2*a)/b","A",0
101,1,68,0,0.247499," ","integrate(cos(b*x+a)^4*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(9 \, b x + 9 \, a\right)}{2304 \, b} + \frac{\cos\left(7 \, b x + 7 \, a\right)}{1792 \, b} + \frac{\cos\left(5 \, b x + 5 \, a\right)}{320 \, b} - \frac{\cos\left(3 \, b x + 3 \, a\right)}{192 \, b} - \frac{3 \, \cos\left(b x + a\right)}{128 \, b}"," ",0,"-1/2304*cos(9*b*x + 9*a)/b + 1/1792*cos(7*b*x + 7*a)/b + 1/320*cos(5*b*x + 5*a)/b - 1/192*cos(3*b*x + 3*a)/b - 3/128*cos(b*x + a)/b","A",0
102,1,26,0,0.519823," ","integrate(cos(b*x+a)^3*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{3 \, \sin\left(b x + a\right)^{8} - 4 \, \sin\left(b x + a\right)^{6}}{24 \, b}"," ",0,"-1/24*(3*sin(b*x + a)^8 - 4*sin(b*x + a)^6)/b","A",0
103,1,54,0,0.209807," ","integrate(cos(b*x+a)^2*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\cos\left(7 \, b x + 7 \, a\right)}{448 \, b} + \frac{3 \, \cos\left(5 \, b x + 5 \, a\right)}{320 \, b} - \frac{\cos\left(3 \, b x + 3 \, a\right)}{192 \, b} - \frac{5 \, \cos\left(b x + a\right)}{64 \, b}"," ",0,"-1/448*cos(7*b*x + 7*a)/b + 3/320*cos(5*b*x + 5*a)/b - 1/192*cos(3*b*x + 3*a)/b - 5/64*cos(b*x + a)/b","A",0
104,1,13,0,0.174646," ","integrate(cos(b*x+a)*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{6}}{6 \, b}"," ",0,"1/6*sin(b*x + a)^6/b","A",0
105,1,226,0,0.332192," ","integrate(sec(b*x+a)*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1}\right)}^{2} - \frac{20 \, {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{20 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 44}{{\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 2\right)}^{2}} - 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 2 \right|}\right) + 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 2 \right|}\right)}{4 \, b}"," ",0,"-1/4*((3*((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1))^2 - 20*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - 20*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 44)/((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2)^2 - 2*log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 2)) + 2*log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2)))/b","B",0
106,1,99,0,0.313758," ","integrate(sec(b*x+a)^2*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{3}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1} + \frac{\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 5}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{3}}\right)}}{3 \, b}"," ",0,"2/3*(3/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1) + (12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 5)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^3)/b","B",0
107,1,182,0,0.297586," ","integrate(sec(b*x+a)^3*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1}\right)}}{{\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1}\right)}^{2} - 4} + \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 2 \right|}\right) - \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 2 \right|}\right)}{b}"," ",0,"-(4*((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1))/(((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1))^2 - 4) + log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 2)) - log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2)))/b","B",0
108,1,100,0,0.242168," ","integrate(sec(b*x+a)^4*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{3}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1} - \frac{\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 5}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{3}}\right)}}{3 \, b}"," ",0,"2/3*(3/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1) - (12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 5)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^3)/b","B",0
109,1,226,0,0.248902," ","integrate(sec(b*x+a)^5*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1}\right)}^{2} + \frac{20 \, {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} + \frac{20 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 44}{{\left(\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 2\right)}^{2}} + 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 2 \right|}\right) - 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) + 1}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 2 \right|}\right)}{4 \, b}"," ",0,"1/4*((3*((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1))^2 + 20*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) + 20*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 44)/((cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 2)^2 + 2*log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 2)) - 2*log(abs(-(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2)))/b","B",0
110,1,72,0,0.233214," ","integrate(sec(b*x+a)^6*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{16 \, {\left(\frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{10 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)}}{15 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{5}}"," ",0,"16/15*(5*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 10*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^5)","A",0
111,1,48,0,0.367067," ","integrate(sec(b*x+a)^7*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{32 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{3 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{6} {\left(\cos\left(b x + a\right) + 1\right)}^{3}}"," ",0,"-32/3*(cos(b*x + a) - 1)^3/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^6*(cos(b*x + a) + 1)^3)","B",0
112,1,116,0,0.259020," ","integrate(sec(b*x+a)^8*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{16 \, {\left(\frac{7 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{21 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - \frac{35 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{70 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 1\right)}}{105 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{7}}"," ",0,"16/105*(7*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 21*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 35*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 70*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 1)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^7)","B",0
113,1,93,0,0.306543," ","integrate(sec(b*x+a)^9*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{32 \, {\left(\frac{{\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}}\right)}}{3 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{8}}"," ",0,"-32/3*((cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - (cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + (cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^8)","B",0
114,1,160,0,0.221971," ","integrate(sec(b*x+a)^10*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{16 \, {\left(\frac{9 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{36 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - \frac{126 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{441 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - \frac{315 \, {\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}} + \frac{210 \, {\left(\cos\left(b x + a\right) - 1\right)}^{6}}{{\left(\cos\left(b x + a\right) + 1\right)}^{6}} + 1\right)}}{315 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{9}}"," ",0,"16/315*(9*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 36*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 126*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 441*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 315*(cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5 + 210*(cos(b*x + a) - 1)^6/(cos(b*x + a) + 1)^6 + 1)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^9)","B",0
115,1,139,0,0.320391," ","integrate(sec(b*x+a)^11*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{32 \, {\left(\frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{10 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + \frac{18 \, {\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}} - \frac{10 \, {\left(\cos\left(b x + a\right) - 1\right)}^{6}}{{\left(\cos\left(b x + a\right) + 1\right)}^{6}} + \frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}^{7}}{{\left(\cos\left(b x + a\right) + 1\right)}^{7}}\right)}}{15 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{10}}"," ",0,"-32/15*(5*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 10*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 18*(cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5 - 10*(cos(b*x + a) - 1)^6/(cos(b*x + a) + 1)^6 + 5*(cos(b*x + a) - 1)^7/(cos(b*x + a) + 1)^7)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^10)","B",0
116,1,204,0,0.296909," ","integrate(sec(b*x+a)^12*sin(b*x+a)^5,x, algorithm=""giac"")","\frac{16 \, {\left(\frac{11 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{55 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - \frac{297 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{1485 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - \frac{2079 \, {\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}} + \frac{2541 \, {\left(\cos\left(b x + a\right) - 1\right)}^{6}}{{\left(\cos\left(b x + a\right) + 1\right)}^{6}} - \frac{1155 \, {\left(\cos\left(b x + a\right) - 1\right)}^{7}}{{\left(\cos\left(b x + a\right) + 1\right)}^{7}} + \frac{462 \, {\left(\cos\left(b x + a\right) - 1\right)}^{8}}{{\left(\cos\left(b x + a\right) + 1\right)}^{8}} + 1\right)}}{693 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{11}}"," ",0,"16/693*(11*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 55*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 297*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 1485*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 2079*(cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5 + 2541*(cos(b*x + a) - 1)^6/(cos(b*x + a) + 1)^6 - 1155*(cos(b*x + a) - 1)^7/(cos(b*x + a) + 1)^7 + 462*(cos(b*x + a) - 1)^8/(cos(b*x + a) + 1)^8 + 1)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^11)","B",0
117,1,183,0,0.379205," ","integrate(sec(b*x+a)^13*sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{32 \, {\left(\frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{15 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + \frac{39 \, {\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}} - \frac{42 \, {\left(\cos\left(b x + a\right) - 1\right)}^{6}}{{\left(\cos\left(b x + a\right) + 1\right)}^{6}} + \frac{39 \, {\left(\cos\left(b x + a\right) - 1\right)}^{7}}{{\left(\cos\left(b x + a\right) + 1\right)}^{7}} - \frac{15 \, {\left(\cos\left(b x + a\right) - 1\right)}^{8}}{{\left(\cos\left(b x + a\right) + 1\right)}^{8}} + \frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}^{9}}{{\left(\cos\left(b x + a\right) + 1\right)}^{9}}\right)}}{15 \, b {\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{12}}"," ",0,"-32/15*(5*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 15*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 39*(cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5 - 42*(cos(b*x + a) - 1)^6/(cos(b*x + a) + 1)^6 + 39*(cos(b*x + a) - 1)^7/(cos(b*x + a) + 1)^7 - 15*(cos(b*x + a) - 1)^8/(cos(b*x + a) + 1)^8 + 5*(cos(b*x + a) - 1)^9/(cos(b*x + a) + 1)^9)/(b*((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^12)","B",0
118,1,68,0,0.342330," ","integrate(sec(b*x+a)^3*sin(b*x+a)^6,x, algorithm=""giac"")","\frac{4 \, \sin\left(b x + a\right)^{3} - \frac{6 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} - 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) + 24 \, \sin\left(b x + a\right)}{12 \, b}"," ",0,"1/12*(4*sin(b*x + a)^3 - 6*sin(b*x + a)/(sin(b*x + a)^2 - 1) - 15*log(abs(sin(b*x + a) + 1)) + 15*log(abs(sin(b*x + a) - 1)) + 24*sin(b*x + a))/b","A",0
119,1,144,0,0.275284," ","integrate(sec(b*x+a)^6*sin(b*x+a)^7,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{5}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1} - \frac{\frac{50 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{80 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{30 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{5 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 11}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{5}}\right)}}{5 \, b}"," ",0,"-2/5*(5/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1) - (50*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 80*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 30*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 5*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 11)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^5)/b","B",0
120,1,145,0,0.268974," ","integrate(cos(b*x+a)^6/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{4 \, {\left(\frac{70 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{140 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{90 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{45 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - 23\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{5}} + 15 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{30 \, b}"," ",0,"1/30*(4*(70*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 140*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 90*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 45*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 23)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^5 + 15*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
121,1,170,0,0.267530," ","integrate(cos(b*x+a)^5/sin(b*x+a),x, algorithm=""giac"")","-\frac{\frac{\frac{52 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{102 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{52 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - 25}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{4}} - 6 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 12 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{12 \, b}"," ",0,"-1/12*((52*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 102*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 52*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^4 - 6*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 12*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
122,1,101,0,0.185304," ","integrate(cos(b*x+a)^4/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{8 \, {\left(\frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 2\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{3}} + 3 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{6 \, b}"," ",0,"1/6*(8*(3*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 2)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^3 + 3*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
123,1,25,0,0.567878," ","integrate(cos(b*x+a)^3/sin(b*x+a),x, algorithm=""giac"")","-\frac{\sin\left(b x + a\right)^{2} - \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(sin(b*x + a)^2 - log(sin(b*x + a)^2))/b","A",0
124,1,57,0,0.241374," ","integrate(cos(b*x+a)^2/sin(b*x+a),x, algorithm=""giac"")","-\frac{\frac{4}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1} - \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{2 \, b}"," ",0,"-1/2*(4/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1) - log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
125,1,12,0,0.207631," ","integrate(cos(b*x+a)/sin(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| \sin\left(b x + a\right) \right|}\right)}{b}"," ",0,"log(abs(sin(b*x + a)))/b","A",0
126,1,56,0,0.242820," ","integrate(sec(b*x+a)/sin(b*x+a),x, algorithm=""giac"")","\frac{\log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*(log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 2*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
127,1,55,0,0.267953," ","integrate(sec(b*x+a)^2/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{4}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1} + \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{2 \, b}"," ",0,"1/2*(4/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1) + log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
128,1,124,0,0.229635," ","integrate(sec(b*x+a)^3/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{\frac{2 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 3}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{2}} + \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 2 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{2 \, b}"," ",0,"1/2*((2*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 3)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^2 + log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 2*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
129,1,101,0,0.211902," ","integrate(sec(b*x+a)^4/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{8 \, {\left(\frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 2\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{3}} + 3 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{6 \, b}"," ",0,"1/6*(8*(3*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 2)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^3 + 3*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
130,1,170,0,0.270675," ","integrate(sec(b*x+a)^5/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{\frac{52 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{102 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{52 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 25}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{4}} + 6 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 12 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{12 \, b}"," ",0,"1/12*((52*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 102*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 52*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^4 + 6*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 12*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
131,1,145,0,0.661413," ","integrate(sec(b*x+a)^6/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{4 \, {\left(\frac{70 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{140 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{90 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{45 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 23\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{5}} + 15 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{30 \, b}"," ",0,"1/30*(4*(70*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 140*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 90*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 45*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 23)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^5 + 15*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
132,1,214,0,0.342095," ","integrate(sec(b*x+a)^7/sin(b*x+a),x, algorithm=""giac"")","\frac{\frac{\frac{522 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{1485 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{1580 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{1485 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + \frac{522 \, {\left(\cos\left(b x + a\right) - 1\right)}^{5}}{{\left(\cos\left(b x + a\right) + 1\right)}^{5}} + \frac{147 \, {\left(\cos\left(b x + a\right) - 1\right)}^{6}}{{\left(\cos\left(b x + a\right) + 1\right)}^{6}} + 147}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{6}} + 30 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 60 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{60 \, b}"," ",0,"1/60*((522*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1485*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1580*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 1485*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 522*(cos(b*x + a) - 1)^5/(cos(b*x + a) + 1)^5 + 147*(cos(b*x + a) - 1)^6/(cos(b*x + a) + 1)^6 + 147)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^6 + 30*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 60*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
133,1,42,0,0.256302," ","integrate(cos(b*x+a)^7/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\sin\left(b x + a\right)^{5} - 5 \, \sin\left(b x + a\right)^{3} + \frac{5}{\sin\left(b x + a\right)} + 15 \, \sin\left(b x + a\right)}{5 \, b}"," ",0,"-1/5*(sin(b*x + a)^5 - 5*sin(b*x + a)^3 + 5/sin(b*x + a) + 15*sin(b*x + a))/b","A",0
134,1,55,0,0.199511," ","integrate(cos(b*x+a)^6/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{15 \, b x + 15 \, a + \frac{7 \, \tan\left(b x + a\right)^{3} + 9 \, \tan\left(b x + a\right)}{{\left(\tan\left(b x + a\right)^{2} + 1\right)}^{2}} + \frac{8}{\tan\left(b x + a\right)}}{8 \, b}"," ",0,"-1/8*(15*b*x + 15*a + (7*tan(b*x + a)^3 + 9*tan(b*x + a))/(tan(b*x + a)^2 + 1)^2 + 8/tan(b*x + a))/b","A",0
135,1,32,0,0.249437," ","integrate(cos(b*x+a)^5/sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\sin\left(b x + a\right)^{3} - \frac{3}{\sin\left(b x + a\right)} - 6 \, \sin\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(sin(b*x + a)^3 - 3/sin(b*x + a) - 6*sin(b*x + a))/b","A",0
136,1,43,0,0.171335," ","integrate(cos(b*x+a)^4/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{3 \, b x + 3 \, a + \frac{3 \, \tan\left(b x + a\right)^{2} + 2}{\tan\left(b x + a\right)^{3} + \tan\left(b x + a\right)}}{2 \, b}"," ",0,"-1/2*(3*b*x + 3*a + (3*tan(b*x + a)^2 + 2)/(tan(b*x + a)^3 + tan(b*x + a)))/b","A",0
137,1,20,0,0.227489," ","integrate(cos(b*x+a)^3/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)}{b}"," ",0,"-(1/sin(b*x + a) + sin(b*x + a))/b","A",0
138,1,35,0,0.184395," ","integrate(cos(b*x+a)^2/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a + \frac{1}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{2 \, b}"," ",0,"-1/2*(2*b*x + 2*a + 1/tan(1/2*b*x + 1/2*a) - tan(1/2*b*x + 1/2*a))/b","B",0
139,1,13,0,0.588169," ","integrate(cos(b*x+a)/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{1}{b \sin\left(b x + a\right)}"," ",0,"-1/(b*sin(b*x + a))","A",0
140,1,38,0,0.343810," ","integrate(sec(b*x+a)/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2}{\sin\left(b x + a\right)} - \log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) + \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{2 \, b}"," ",0,"-1/2*(2/sin(b*x + a) - log(abs(sin(b*x + a) + 1)) + log(abs(sin(b*x + a) - 1)))/b","A",0
141,1,16,0,0.699870," ","integrate(sec(b*x+a)^2/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{2}{b \tan\left(2 \, b x + 2 \, a\right)}"," ",0,"-2/(b*tan(2*b*x + 2*a))","A",0
142,1,63,0,0.348867," ","integrate(sec(b*x+a)^3/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{2} - 2\right)}}{\sin\left(b x + a\right)^{3} - \sin\left(b x + a\right)} - 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)}{4 \, b}"," ",0,"-1/4*(2*(3*sin(b*x + a)^2 - 2)/(sin(b*x + a)^3 - sin(b*x + a)) - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)))/b","A",0
143,1,32,0,0.192309," ","integrate(sec(b*x+a)^4/sin(b*x+a)^2,x, algorithm=""giac"")","\frac{\tan\left(b x + a\right)^{3} - \frac{3}{\tan\left(b x + a\right)} + 6 \, \tan\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(tan(b*x + a)^3 - 3/tan(b*x + a) + 6*tan(b*x + a))/b","A",0
144,1,73,0,0.688118," ","integrate(sec(b*x+a)^5/sin(b*x+a)^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(7 \, \sin\left(b x + a\right)^{3} - 9 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{2}} + \frac{16}{\sin\left(b x + a\right)} - 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)}{16 \, b}"," ",0,"-1/16*(2*(7*sin(b*x + a)^3 - 9*sin(b*x + a))/(sin(b*x + a)^2 - 1)^2 + 16/sin(b*x + a) - 15*log(abs(sin(b*x + a) + 1)) + 15*log(abs(sin(b*x + a) - 1)))/b","A",0
145,1,231,0,0.255450," ","integrate(cos(b*x+a)^7/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + \frac{2 \, {\left(\frac{76 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{118 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{76 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - 25\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{4}} - 12 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 24 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{8 \, b}"," ",0,"1/8*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 2*(76*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 118*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 76*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^4 - 12*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 24*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
146,1,163,0,0.599636," ","integrate(cos(b*x+a)^6/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\frac{10 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{16 \, {\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{9 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 7\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{3}} - 30 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{24 \, b}"," ",0,"1/24*(3*(10*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - 3*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 16*(12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 9*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 7)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^3 - 30*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
147,1,187,0,0.273121," ","integrate(cos(b*x+a)^5/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{8 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + \frac{8 \, {\left(\frac{4 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 3\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{2}} - 8 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 16 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{8 \, b}"," ",0,"1/8*((8*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 8*(4*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 3)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^2 - 8*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 16*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
148,1,140,0,0.312606," ","integrate(cos(b*x+a)^4/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{\frac{14 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}}} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 6 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{8 \, b}"," ",0,"-1/8*((14*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 6*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
149,1,36,0,0.177015," ","integrate(cos(b*x+a)^3/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{\sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{2}} - \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"1/2*((sin(b*x + a)^2 - 1)/sin(b*x + a)^2 - log(sin(b*x + a)^2))/b","A",0
150,1,93,0,0.224226," ","integrate(cos(b*x+a)^2/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{2 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 2 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{8 \, b}"," ",0,"1/8*((2*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
151,1,13,0,0.196261," ","integrate(cos(b*x+a)/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{1}{2 \, b \sin\left(b x + a\right)^{2}}"," ",0,"-1/2/(b*sin(b*x + a)^2)","A",0
152,1,119,0,0.330984," ","integrate(sec(b*x+a)/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{4 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 4 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 8 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*((4*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 4*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 8*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
153,1,140,0,0.395398," ","integrate(sec(b*x+a)^2/sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{\frac{14 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}}} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 6 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{8 \, b}"," ",0,"1/8*((14*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 6*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
154,1,188,0,0.247387," ","integrate(sec(b*x+a)^3/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{8 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - \frac{8 \, {\left(\frac{4 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 3\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{2}} - 8 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 16 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*((8*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 8*(4*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 3)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^2 - 8*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 16*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
155,1,163,0,0.216953," ","integrate(sec(b*x+a)^4/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\frac{10 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{16 \, {\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{9 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 7\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{3}} - 30 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{24 \, b}"," ",0,"-1/24*(3*(10*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) + 3*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 16*(12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 9*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 7)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^3 - 30*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
156,1,232,0,0.252817," ","integrate(sec(b*x+a)^5/sin(b*x+a)^3,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} - \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - \frac{2 \, {\left(\frac{76 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{118 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{76 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 25\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{4}} - 12 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 24 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{8 \, b}"," ",0,"-1/8*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) - (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 2*(76*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 118*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 76*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^4 - 12*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 24*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
157,1,56,0,0.215968," ","integrate(cos(b*x+a)^9/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3 \, \sin\left(b x + a\right)^{5} - 20 \, \sin\left(b x + a\right)^{3} + \frac{5 \, {\left(12 \, \sin\left(b x + a\right)^{2} - 1\right)}}{\sin\left(b x + a\right)^{3}} + 90 \, \sin\left(b x + a\right)}{15 \, b}"," ",0,"1/15*(3*sin(b*x + a)^5 - 20*sin(b*x + a)^3 + 5*(12*sin(b*x + a)^2 - 1)/sin(b*x + a)^3 + 90*sin(b*x + a))/b","A",0
158,1,68,0,0.171423," ","integrate(cos(b*x+a)^8/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{105 \, b x + 105 \, a + \frac{3 \, {\left(11 \, \tan\left(b x + a\right)^{3} + 13 \, \tan\left(b x + a\right)\right)}}{{\left(\tan\left(b x + a\right)^{2} + 1\right)}^{2}} + \frac{8 \, {\left(9 \, \tan\left(b x + a\right)^{2} - 1\right)}}{\tan\left(b x + a\right)^{3}}}{24 \, b}"," ",0,"1/24*(105*b*x + 105*a + 3*(11*tan(b*x + a)^3 + 13*tan(b*x + a))/(tan(b*x + a)^2 + 1)^2 + 8*(9*tan(b*x + a)^2 - 1)/tan(b*x + a)^3)/b","A",0
159,1,41,0,0.212415," ","integrate(cos(b*x+a)^7/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{{\left(\frac{1}{\sin\left(b x + a\right)} + \sin\left(b x + a\right)\right)}^{3} - \frac{12}{\sin\left(b x + a\right)} - 12 \, \sin\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*((1/sin(b*x + a) + sin(b*x + a))^3 - 12/sin(b*x + a) - 12*sin(b*x + a))/b","A",0
160,1,55,0,0.735259," ","integrate(cos(b*x+a)^6/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{15 \, b x + 15 \, a + \frac{3 \, \tan\left(b x + a\right)}{\tan\left(b x + a\right)^{2} + 1} + \frac{2 \, {\left(6 \, \tan\left(b x + a\right)^{2} - 1\right)}}{\tan\left(b x + a\right)^{3}}}{6 \, b}"," ",0,"1/6*(15*b*x + 15*a + 3*tan(b*x + a)/(tan(b*x + a)^2 + 1) + 2*(6*tan(b*x + a)^2 - 1)/tan(b*x + a)^3)/b","A",0
161,1,35,0,0.209479," ","integrate(cos(b*x+a)^5/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{6 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{3}} + 3 \, \sin\left(b x + a\right)}{3 \, b}"," ",0,"1/3*((6*sin(b*x + a)^2 - 1)/sin(b*x + a)^3 + 3*sin(b*x + a))/b","A",0
162,1,62,0,0.227359," ","integrate(cos(b*x+a)^4/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} + 24 \, b x + 24 \, a + \frac{15 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 1}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3}} - 15 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{24 \, b}"," ",0,"1/24*(tan(1/2*b*x + 1/2*a)^3 + 24*b*x + 24*a + (15*tan(1/2*b*x + 1/2*a)^2 - 1)/tan(1/2*b*x + 1/2*a)^3 - 15*tan(1/2*b*x + 1/2*a))/b","B",0
163,1,25,0,0.180490," ","integrate(cos(b*x+a)^3/sin(b*x+a)^4,x, algorithm=""giac"")","\frac{3 \, \sin\left(b x + a\right)^{2} - 1}{3 \, b \sin\left(b x + a\right)^{3}}"," ",0,"1/3*(3*sin(b*x + a)^2 - 1)/(b*sin(b*x + a)^3)","A",0
164,1,13,0,0.228459," ","integrate(cos(b*x+a)^2/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{1}{3 \, b \tan\left(b x + a\right)^{3}}"," ",0,"-1/3/(b*tan(b*x + a)^3)","A",0
165,1,13,0,0.570746," ","integrate(cos(b*x+a)/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{1}{3 \, b \sin\left(b x + a\right)^{3}}"," ",0,"-1/3/(b*sin(b*x + a)^3)","A",0
166,1,52,0,0.233331," ","integrate(sec(b*x+a)/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{2} + 1\right)}}{\sin\left(b x + a\right)^{3}} - 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)}{6 \, b}"," ",0,"-1/6*(2*(3*sin(b*x + a)^2 + 1)/sin(b*x + a)^3 - 3*log(abs(sin(b*x + a) + 1)) + 3*log(abs(sin(b*x + a) - 1)))/b","A",0
167,1,35,0,0.218920," ","integrate(sec(b*x+a)^2/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{6 \, \tan\left(b x + a\right)^{2} + 1}{\tan\left(b x + a\right)^{3}} - 3 \, \tan\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*((6*tan(b*x + a)^2 + 1)/tan(b*x + a)^3 - 3*tan(b*x + a))/b","A",0
168,1,72,0,0.536082," ","integrate(sec(b*x+a)^3/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{6 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} + \frac{4 \, {\left(6 \, \sin\left(b x + a\right)^{2} + 1\right)}}{\sin\left(b x + a\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)}{12 \, b}"," ",0,"-1/12*(6*sin(b*x + a)/(sin(b*x + a)^2 - 1) + 4*(6*sin(b*x + a)^2 + 1)/sin(b*x + a)^3 - 15*log(abs(sin(b*x + a) + 1)) + 15*log(abs(sin(b*x + a) - 1)))/b","A",0
169,1,31,0,0.263415," ","integrate(sec(b*x+a)^4/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{8 \, {\left(3 \, \tan\left(2 \, b x + 2 \, a\right)^{2} + 1\right)}}{3 \, b \tan\left(2 \, b x + 2 \, a\right)^{3}}"," ",0,"-8/3*(3*tan(2*b*x + 2*a)^2 + 1)/(b*tan(2*b*x + 2*a)^3)","A",0
170,1,85,0,0.604104," ","integrate(sec(b*x+a)^5/sin(b*x+a)^4,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(11 \, \sin\left(b x + a\right)^{3} - 13 \, \sin\left(b x + a\right)\right)}}{{\left(\sin\left(b x + a\right)^{2} - 1\right)}^{2}} + \frac{16 \, {\left(9 \, \sin\left(b x + a\right)^{2} + 1\right)}}{\sin\left(b x + a\right)^{3}} - 105 \, \log\left({\left| \sin\left(b x + a\right) + 1 \right|}\right) + 105 \, \log\left({\left| \sin\left(b x + a\right) - 1 \right|}\right)}{48 \, b}"," ",0,"-1/48*(6*(11*sin(b*x + a)^3 - 13*sin(b*x + a))/(sin(b*x + a)^2 - 1)^2 + 16*(9*sin(b*x + a)^2 + 1)/sin(b*x + a)^3 - 105*log(abs(sin(b*x + a) + 1)) + 105*log(abs(sin(b*x + a) - 1)))/b","A",0
171,1,277,0,0.435704," ","integrate(cos(b*x+a)^9/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{28 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{288 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{28 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{32 \, {\left(\frac{84 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{126 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{84 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - 25\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{4}} - 192 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 384 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{64 \, b}"," ",0,"-1/64*((28*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 288*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + 28*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 32*(84*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 126*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 84*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^4 - 192*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 384*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
172,1,209,0,0.242145," ","integrate(cos(b*x+a)^8/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(\frac{24 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{210 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} - \frac{72 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - \frac{256 \, {\left(\frac{9 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{6 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 5\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1\right)}^{3}} - 420 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{192 \, b}"," ",0,"-1/192*(3*(24*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 210*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 - 72*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 256*(9*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 6*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 5)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)^3 - 420*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
173,1,232,0,0.289415," ","integrate(cos(b*x+a)^7/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{20 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{\frac{18 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{111 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{36 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - \frac{72 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 1}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}}\right)}^{2}} - 96 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 192 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{64 \, b}"," ",0,"-1/64*(20*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + (18*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 111*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 36*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 72*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 1)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2)^2 - 96*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 192*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
174,1,164,0,0.271785," ","integrate(cos(b*x+a)^6/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{16 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{90 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} - \frac{16 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{128}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1} - 60 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{64 \, b}"," ",0,"-1/64*((16*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 90*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 - 16*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 128/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1) - 60*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
175,1,164,0,0.249157," ","integrate(cos(b*x+a)^5/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{48 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 32 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 64 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{64 \, b}"," ",0,"-1/64*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 48*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + 12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 32*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 64*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
176,1,139,0,0.593731," ","integrate(cos(b*x+a)^4/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{8 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{18 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} - \frac{8 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 12 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{64 \, b}"," ",0,"-1/64*((8*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 18*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 - 8*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 12*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
177,1,25,0,0.276723," ","integrate(cos(b*x+a)^3/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{2 \, \sin\left(b x + a\right)^{2} - 1}{4 \, b \sin\left(b x + a\right)^{4}}"," ",0,"1/4*(2*sin(b*x + a)^2 - 1)/(b*sin(b*x + a)^4)","A",0
178,1,98,0,0.309767," ","integrate(cos(b*x+a)^2/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{2 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 4 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{64 \, b}"," ",0,"1/64*((2*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 4*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","A",0
179,1,13,0,0.302805," ","integrate(cos(b*x+a)/sin(b*x+a)^5,x, algorithm=""giac"")","-\frac{1}{4 \, b \sin\left(b x + a\right)^{4}}"," ",0,"-1/4/(b*sin(b*x + a)^4)","A",0
180,1,165,0,0.329562," ","integrate(sec(b*x+a)/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{48 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 32 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 64 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{64 \, b}"," ",0,"1/64*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 48*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + 12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 32*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 64*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
181,1,163,0,0.225154," ","integrate(sec(b*x+a)^2/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{16 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{90 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} - \frac{16 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{128}{\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1} + 60 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{64 \, b}"," ",0,"1/64*((16*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 90*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 - 16*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 128/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1) + 60*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
182,1,232,0,0.628388," ","integrate(sec(b*x+a)^3/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{20 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{\frac{18 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{111 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{36 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{72 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} - 1}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}}\right)}^{2}} + 96 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 192 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{64 \, b}"," ",0,"1/64*(20*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + (18*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 111*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 36*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 72*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 - 1)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2)^2 + 96*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 192*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
183,1,209,0,0.375726," ","integrate(sec(b*x+a)^4/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(\frac{24 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{210 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} - \frac{72 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{3 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{256 \, {\left(\frac{9 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{6 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 5\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{3}} + 420 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right)}{192 \, b}"," ",0,"1/192*(3*(24*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 210*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 - 72*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 3*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 256*(9*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 6*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 5)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^3 + 420*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)))/b","B",0
184,1,278,0,0.380878," ","integrate(sec(b*x+a)^5/sin(b*x+a)^5,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{28 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{288 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{28 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} - \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{32 \, {\left(\frac{84 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{126 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{84 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + \frac{25 \, {\left(\cos\left(b x + a\right) - 1\right)}^{4}}{{\left(\cos\left(b x + a\right) + 1\right)}^{4}} + 25\right)}}{{\left(\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1\right)}^{4}} + 192 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) - 384 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 1 \right|}\right)}{64 \, b}"," ",0,"1/64*((28*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 288*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + 28*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 32*(84*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 126*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 84*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 25*(cos(b*x + a) - 1)^4/(cos(b*x + a) + 1)^4 + 25)/((cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)^4 + 192*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) - 384*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 1)))/b","B",0
185,1,14,0,0.227796," ","integrate(cos(x)^2/sin(x)^6,x, algorithm=""giac"")","-\frac{5 \, \tan\left(x\right)^{2} + 3}{15 \, \tan\left(x\right)^{5}}"," ",0,"-1/15*(5*tan(x)^2 + 3)/tan(x)^5","A",0
186,1,14,0,0.201298," ","integrate(cos(x)^3/sin(x)^7,x, algorithm=""giac"")","\frac{3 \, \sin\left(x\right)^{2} - 2}{12 \, \sin\left(x\right)^{6}}"," ",0,"1/12*(3*sin(x)^2 - 2)/sin(x)^6","A",0
187,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*sin(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*sin(b*x + a), x)","F",0
188,1,18,0,1.338755," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a),x, algorithm=""giac"")","-\frac{2 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}{3 \, b d}"," ",0,"-2/3*(d*cos(b*x + a))^(3/2)/(b*d)","A",0
189,1,18,0,0.189346," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{d \cos\left(b x + a\right)}}{b d}"," ",0,"-2*sqrt(d*cos(b*x + a))/(b*d)","A",0
190,1,18,0,0.838100," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2}{\sqrt{d \cos\left(b x + a\right)} b d}"," ",0,"2/(sqrt(d*cos(b*x + a))*b*d)","A",0
191,1,26,0,0.814137," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2}{3 \, \sqrt{d \cos\left(b x + a\right)} b d^{2} \cos\left(b x + a\right)}"," ",0,"2/3/(sqrt(d*cos(b*x + a))*b*d^2*cos(b*x + a))","A",0
192,1,26,0,0.868312," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\frac{2}{5 \, \sqrt{d \cos\left(b x + a\right)} b d^{3} \cos\left(b x + a\right)^{2}}"," ",0,"2/5/(sqrt(d*cos(b*x + a))*b*d^3*cos(b*x + a)^2)","A",0
193,1,26,0,0.989476," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\frac{2}{7 \, \sqrt{d \cos\left(b x + a\right)} b d^{4} \cos\left(b x + a\right)^{3}}"," ",0,"2/7/(sqrt(d*cos(b*x + a))*b*d^4*cos(b*x + a)^3)","A",0
194,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*sin(b*x + a)^2, x)","F",0
195,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)*sin(b*x + a)^2, x)","F",0
196,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*sin(b*x + a)^2, x)","F",0
197,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*sin(b*x + a)^2, x)","F",0
198,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a)^2,x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*sin(b*x + a)^2, x)","F",0
199,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/sqrt(d*cos(b*x + a)), x)","F",0
200,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*cos(b*x + a))^(3/2), x)","F",0
201,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*cos(b*x + a))^(5/2), x)","F",0
202,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*cos(b*x + a))^(7/2), x)","F",0
203,0,0,0,0.000000," ","integrate(sin(b*x+a)^2/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^2/(d*cos(b*x + a))^(9/2), x)","F",0
204,1,37,0,21.876489," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{2 \, \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}{7 \, b d^{3}} - \frac{2 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}{3 \, b d}"," ",0,"2/7*(d*cos(b*x + a))^(7/2)/(b*d^3) - 2/3*(d*cos(b*x + a))^(3/2)/(b*d)","A",0
205,1,40,0,1.025519," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\sqrt{d \cos\left(b x + a\right)} \cos\left(b x + a\right)^{2} - 5 \, \sqrt{d \cos\left(b x + a\right)}\right)}}{5 \, b d}"," ",0,"2/5*(sqrt(d*cos(b*x + a))*cos(b*x + a)^2 - 5*sqrt(d*cos(b*x + a)))/(b*d)","A",0
206,1,41,0,1.321035," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{\sqrt{d \cos\left(b x + a\right)} \cos\left(b x + a\right)}{d} + \frac{3}{\sqrt{d \cos\left(b x + a\right)}}\right)}}{3 \, b d}"," ",0,"2/3*(sqrt(d*cos(b*x + a))*cos(b*x + a)/d + 3/sqrt(d*cos(b*x + a)))/(b*d)","A",0
207,1,47,0,1.303590," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, \sqrt{d \cos\left(b x + a\right)} b^{2} + \frac{b^{2} d}{\sqrt{d \cos\left(b x + a\right)} \cos\left(b x + a\right)}\right)}}{3 \, b^{3} d^{3}}"," ",0,"2/3*(3*sqrt(d*cos(b*x + a))*b^2 + b^2*d/(sqrt(d*cos(b*x + a))*cos(b*x + a)))/(b^3*d^3)","A",0
208,1,51,0,1.360903," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, b^{3} d^{3} \cos\left(b x + a\right)^{2} - b^{3} d^{3}\right)}}{5 \, \sqrt{d \cos\left(b x + a\right)} b^{4} d^{6} \cos\left(b x + a\right)^{2}}"," ",0,"-2/5*(5*b^3*d^3*cos(b*x + a)^2 - b^3*d^3)/(sqrt(d*cos(b*x + a))*b^4*d^6*cos(b*x + a)^2)","A",0
209,1,51,0,1.577037," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","-\frac{2 \, {\left(7 \, b^{4} d^{4} \cos\left(b x + a\right)^{2} - 3 \, b^{4} d^{4}\right)}}{21 \, \sqrt{d \cos\left(b x + a\right)} b^{5} d^{8} \cos\left(b x + a\right)^{3}}"," ",0,"-2/21*(7*b^4*d^4*cos(b*x + a)^2 - 3*b^4*d^4)/(sqrt(d*cos(b*x + a))*b^5*d^8*cos(b*x + a)^3)","A",0
210,1,51,0,1.398401," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(11/2),x, algorithm=""giac"")","-\frac{2 \, {\left(9 \, b^{5} d^{5} \cos\left(b x + a\right)^{2} - 5 \, b^{5} d^{5}\right)}}{45 \, \sqrt{d \cos\left(b x + a\right)} b^{6} d^{10} \cos\left(b x + a\right)^{4}}"," ",0,"-2/45*(9*b^5*d^5*cos(b*x + a)^2 - 5*b^5*d^5)/(sqrt(d*cos(b*x + a))*b^6*d^10*cos(b*x + a)^4)","A",0
211,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*sin(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*sin(b*x + a)^4, x)","F",0
212,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)*sin(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)*sin(b*x + a)^4, x)","F",0
213,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*sin(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*sin(b*x + a)^4, x)","F",0
214,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*sin(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*sin(b*x + a)^4, x)","F",0
215,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a)^4,x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*sin(b*x + a)^4, x)","F",0
216,0,0,0,0.000000," ","integrate(sin(b*x+a)^4/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{4}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sin(b*x + a)^4/sqrt(d*cos(b*x + a)), x)","F",0
217,0,0,0,0.000000," ","integrate(sin(b*x+a)^4/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{4}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^4/(d*cos(b*x + a))^(3/2), x)","F",0
218,0,0,0,0.000000," ","integrate(sin(b*x+a)^4/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{4}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^4/(d*cos(b*x + a))^(5/2), x)","F",0
219,0,0,0,0.000000," ","integrate(sin(b*x+a)^4/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{4}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^4/(d*cos(b*x + a))^(7/2), x)","F",0
220,0,0,0,0.000000," ","integrate(sin(b*x+a)^4/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{4}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^4/(d*cos(b*x + a))^(9/2), x)","F",0
221,0,0,0,0.000000," ","integrate(cos(b*x+a)^(3/2)*sin(b*x+a)^5,x, algorithm=""giac"")","\int \cos\left(b x + a\right)^{\frac{3}{2}} \sin\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate(cos(b*x + a)^(3/2)*sin(b*x + a)^5, x)","F",0
222,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*csc(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*csc(b*x + a), x)","F",0
223,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)*csc(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)*csc(b*x + a), x)","F",0
224,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*csc(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*csc(b*x + a), x)","F",0
225,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*csc(b*x + a), x)","F",0
226,1,106,0,1.153960," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a),x, algorithm=""giac"")","\frac{\frac{2 \, d \arctan\left(-\frac{\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)}{\sqrt{-d}} - \sqrt{-d} \log\left({\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|}\right)}{2 \, b}"," ",0,"1/2*(2*d*arctan(-(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))/sqrt(-d) - sqrt(-d)*log(abs(-sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 + sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))))/b","B",0
227,1,105,0,1.585001," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\frac{2 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} - \frac{\log\left({\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|}\right)}{\sqrt{-d}}}{2 \, b}"," ",0,"1/2*(2*arctan(-(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))/sqrt(-d) - log(abs(-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
228,1,156,0,1.118545," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\frac{2 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} + \frac{\log\left({\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|}\right)}{\sqrt{-d}} - \frac{8}{\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}}}{2 \, b d}"," ",0,"1/2*(2*arctan(-(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))/sqrt(-d) + log(abs(-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) - 8/(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*d)","B",0
229,1,203,0,1.291255," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\frac{6 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} - \frac{3 \, \log\left({\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|}\right)}{\sqrt{-d}} + \frac{8 \, {\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\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)}^{3}}}{6 \, b d^{2}}"," ",0,"1/6*(6*arctan(-(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))/sqrt(-d) - 3*log(abs(-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) + 8*(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)/(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*d^2)","B",0
230,1,341,0,1.459454," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\frac{\frac{10 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} + \frac{5 \, \log\left({\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|}\right)}{\sqrt{-d}} - \frac{16 \, {\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} - 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)}^{3} \sqrt{-d} - 20 \, {\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 + 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)} \sqrt{-d} d + 3 \, d^{2}\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)}^{5}}}{10 \, b d^{3}}"," ",0,"1/10*(10*arctan(-(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))/sqrt(-d) + 5*log(abs(-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) - 16*(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 - 10*(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) - 20*(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 + 10*(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^2)/(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*d^3)","B",0
231,1,436,0,1.383649," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\frac{\frac{42 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} - \frac{21 \, \log\left({\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|}\right)}{\sqrt{-d}} + \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)}^{6} - 42 \, {\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} - 119 \, {\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 + 56 \, {\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 + 63 \, {\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} - 14 \, {\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^{2} - 5 \, d^{3}\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)}^{7}}}{42 \, b d^{4}}"," ",0,"1/42*(42*arctan(-(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))/sqrt(-d) - 21*log(abs(-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) + 16*(21*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^6 - 42*(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) - 119*(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 + 56*(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 + 63*(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 - 14*(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^2 - 5*d^3)/(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*d^4)","B",0
232,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(11/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{11}{2}} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(11/2)*csc(b*x + a)^2, x)","F",0
233,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*csc(b*x + a)^2, x)","F",0
234,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)*csc(b*x + a)^2, x)","F",0
235,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*csc(b*x + a)^2, x)","F",0
236,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*csc(b*x + a)^2, x)","F",0
237,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a)^2,x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*csc(b*x + a)^2, x)","F",0
238,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/sqrt(d*cos(b*x + a)), x)","F",0
239,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/(d*cos(b*x + a))^(3/2), x)","F",0
240,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/(d*cos(b*x + a))^(5/2), x)","F",0
241,0,0,0,0.000000," ","integrate(csc(b*x+a)^2/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{\csc\left(b x + a\right)^{2}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)^2/(d*cos(b*x + a))^(7/2), x)","F",0
242,-1,0,0,0.000000," ","integrate((d*cos(b*x+a))^(11/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*csc(b*x + a)^3, x)","F",0
244,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)*csc(b*x + a)^3, x)","F",0
245,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*csc(b*x + a)^3, x)","F",0
246,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*csc(b*x + a)^3, x)","F",0
247,1,178,0,1.552115," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{2 \, d \arctan\left(-\frac{\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)}{\sqrt{-d}} - \sqrt{-d} \log\left({\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|}\right) + \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d} + \frac{2 \, \sqrt{-d} d}{{\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}}{8 \, b}"," ",0,"1/8*(2*d*arctan(-(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))/sqrt(-d) - sqrt(-d)*log(abs(-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*tan(1/2*b*x + 1/2*a)^4 + d) + 2*sqrt(-d)*d/((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))/b","B",0
248,1,181,0,1.318206," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\frac{\frac{6 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} - \frac{3 \, \log\left({\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|}\right)}{\sqrt{-d}} + \frac{2 \, \sqrt{-d}}{{\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} - \frac{\sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}}{d}}{8 \, b}"," ",0,"1/8*(6*arctan(-(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))/sqrt(-d) - 3*log(abs(-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) + 2*sqrt(-d)/((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) - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d)/d)/b","B",0
249,1,361,0,1.177080," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\frac{\frac{10 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} + \frac{5 \, \log\left({\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|}\right)}{\sqrt{-d}} - \frac{2 \, {\left(16 \, {\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} - {\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} - 17 \, d\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}\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}\right)}^{2} \sqrt{-d} - {\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)} d + \sqrt{-d} d} + \frac{\sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}}{d}}{8 \, b d}"," ",0,"1/8*(10*arctan(-(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))/sqrt(-d) + 5*log(abs(-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) - 2*(16*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^2 - (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) - 17*d)/((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)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^2*sqrt(-d) - (sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))*d + sqrt(-d)*d) + sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d)/d)/(b*d)","B",0
250,1,279,0,1.318010," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\frac{\frac{42 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} - \frac{21 \, \log\left({\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|}\right)}{\sqrt{-d}} + \frac{6 \, \sqrt{-d}}{{\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} - \frac{3 \, \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}}{d} + \frac{32 \, {\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\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)}^{3}}}{24 \, b d^{2}}"," ",0,"1/24*(42*arctan(-(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))/sqrt(-d) - 21*log(abs(-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) + 6*sqrt(-d)/((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) - 3*sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d)/d + 32*(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)/(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*d^2)","B",0
251,1,417,0,1.414084," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\frac{\frac{90 \, \arctan\left(-\frac{\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)}{\sqrt{-d}} + \frac{45 \, \log\left({\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|}\right)}{\sqrt{-d}} + \frac{10 \, \sqrt{-d}}{{\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} + \frac{5 \, \sqrt{-d \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + d}}{d} - \frac{32 \, {\left(15 \, {\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} - 40 \, {\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} - 70 \, {\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 + 40 \, {\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 + 11 \, d^{2}\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)}^{5}}}{40 \, b d^{3}}"," ",0,"1/40*(90*arctan(-(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))/sqrt(-d) + 45*log(abs(-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) + 10*sqrt(-d)/((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) + 5*sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d)/d - 32*(15*(sqrt(-d)*tan(1/2*b*x + 1/2*a)^2 - sqrt(-d*tan(1/2*b*x + 1/2*a)^4 + d))^4 - 40*(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) - 70*(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 + 40*(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 + 11*d^2)/(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*d^3)","B",0
252,1,21,0,1.164445," ","integrate((d*cos(b*x+a))^(1/5)*sin(b*x+a),x, algorithm=""giac"")","-\frac{5 \, \left(d \cos\left(b x + a\right)\right)^{\frac{1}{5}} \cos\left(b x + a\right)}{6 \, b}"," ",0,"-5/6*(d*cos(b*x + a))^(1/5)*cos(b*x + a)/b","A",0
253,1,13,0,0.310420," ","integrate(cos(x)^3*sin(x)^(1/2),x, algorithm=""giac"")","-\frac{2}{7} \, \sin\left(x\right)^{\frac{7}{2}} + \frac{2}{3} \, \sin\left(x\right)^{\frac{3}{2}}"," ",0,"-2/7*sin(x)^(7/2) + 2/3*sin(x)^(3/2)","A",0
254,1,13,0,0.308624," ","integrate(cos(x)^3*sin(x)^(3/2),x, algorithm=""giac"")","-\frac{2}{9} \, \sin\left(x\right)^{\frac{9}{2}} + \frac{2}{5} \, \sin\left(x\right)^{\frac{5}{2}}"," ",0,"-2/9*sin(x)^(9/2) + 2/5*sin(x)^(5/2)","A",0
255,1,13,0,0.569402," ","integrate(cos(x)^3*sin(x)^(5/2),x, algorithm=""giac"")","-\frac{2}{11} \, \sin\left(x\right)^{\frac{11}{2}} + \frac{2}{7} \, \sin\left(x\right)^{\frac{7}{2}}"," ",0,"-2/11*sin(x)^(11/2) + 2/7*sin(x)^(7/2)","A",0
256,1,13,0,0.351157," ","integrate(cos(x)^3/sin(x)^(1/2),x, algorithm=""giac"")","-\frac{2}{5} \, \sin\left(x\right)^{\frac{5}{2}} + 2 \, \sqrt{\sin\left(x\right)}"," ",0,"-2/5*sin(x)^(5/2) + 2*sqrt(sin(x))","A",0
257,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \sqrt{c \sin\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*sqrt(c*sin(b*x + a)), x)","F",0
258,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \sqrt{c \sin\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*sqrt(c*sin(b*x + a)), x)","F",0
259,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \sqrt{c \sin\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*sqrt(c*sin(b*x + a)), x)","F",0
260,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/(d*cos(b*x + a))^(3/2), x)","F",0
261,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/(d*cos(b*x + a))^(7/2), x)","F",0
262,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \sqrt{c \sin\left(b x + a\right)}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*sqrt(c*sin(b*x + a)), x)","F",0
263,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/sqrt(d*cos(b*x + a)), x)","F",0
264,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/(d*cos(b*x + a))^(5/2), x)","F",0
265,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/(d*cos(b*x + a))^(9/2), x)","F",0
266,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(1/2)/(d*cos(b*x+a))^(13/2),x, algorithm=""giac"")","\int \frac{\sqrt{c \sin\left(b x + a\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))/(d*cos(b*x + a))^(13/2), x)","F",0
267,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*(c*sin(b*x + a))^(3/2), x)","F",0
268,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/sqrt(d*cos(b*x + a)), x)","F",0
269,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
270,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*(c*sin(b*x + a))^(3/2), x)","F",0
272,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(3/2), x)","F",0
273,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
274,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
275,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(15/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,-1,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*(c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*(c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(5/2)*(c*sin(b*x + a))^(5/2), x)","F",0
278,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*(c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*(c*sin(b*x + a))^(5/2), x)","F",0
279,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/sqrt(d*cos(b*x + a)), x)","F",0
283,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
284,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(13/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
286,-1,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(17/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,-1,0,0,0.000000," ","integrate(sin(b*x+a)^(7/2)/cos(b*x+a)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
288,0,0,0,0.000000," ","integrate(sin(x)^(3/2)/cos(x)^(7/2),x, algorithm=""giac"")","\int \frac{\sin\left(x\right)^{\frac{3}{2}}}{\cos\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(x)^(3/2)/cos(x)^(7/2), x)","F",0
289,0,0,0,0.000000," ","integrate(sin(x)^(1/2)/cos(x)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\sin\left(x\right)}}{\sqrt{\cos\left(x\right)}}\,{d x}"," ",0,"integrate(sqrt(sin(x))/sqrt(cos(x)), x)","F",0
290,0,0,0,0.000000," ","integrate(sin(x)^(5/2)/cos(x)^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(x\right)^{\frac{5}{2}}}{\sqrt{\cos\left(x\right)}}\,{d x}"," ",0,"integrate(sin(x)^(5/2)/sqrt(cos(x)), x)","F",0
291,-1,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)/sqrt(c*sin(b*x + a)), x)","F",0
293,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(1/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d \cos\left(b x + a\right)} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*cos(b*x + a))*sqrt(c*sin(b*x + a))), x)","F",0
294,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(5/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*cos(b*x + a))^(5/2)*sqrt(c*sin(b*x + a))), x)","F",0
295,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(9/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*cos(b*x + a))^(9/2)*sqrt(c*sin(b*x + a))), x)","F",0
296,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))/sqrt(c*sin(b*x + a)), x)","F",0
297,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(3/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*cos(b*x + a))^(3/2)*sqrt(c*sin(b*x + a))), x)","F",0
298,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(7/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*cos(b*x + a))^(7/2)*sqrt(c*sin(b*x + a))), x)","F",0
299,0,0,0,0.000000," ","integrate(1/(d*cos(b*x+a))^(11/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{11}{2}} \sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/((d*cos(b*x + a))^(11/2)*sqrt(c*sin(b*x + a))), x)","F",0
300,0,0,0,0.000000," ","integrate(cos(b*x+a)^(1/2)/sin(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\cos\left(b x + a\right)}}{\sqrt{\sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sqrt(cos(b*x + a))/sqrt(sin(b*x + a)), x)","F",0
301,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(3/2)/sin(b*x+a)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(5/2)/sin(b*x+a)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(7/2)/sin(b*x+a)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
304,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*cos(f*x + e)^4, x)","F",0
305,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*cos(f*x + e)^2, x)","F",0
306,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3), x)","F",0
307,0,0,0,0.000000," ","integrate(sec(f*x+e)^2*(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*sec(f*x + e)^2, x)","F",0
308,0,0,0,0.000000," ","integrate(sec(f*x+e)^4*(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*sec(f*x + e)^4, x)","F",0
309,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}} \cos\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(5/3)*cos(f*x + e)^4, x)","F",0
310,0,0,0,0.000000," ","integrate(cos(f*x+e)^2*(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}} \cos\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(5/3)*cos(f*x + e)^2, x)","F",0
311,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(5/3), x)","F",0
312,0,0,0,0.000000," ","integrate(sec(f*x+e)^2*(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}} \sec\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(5/3)*sec(f*x + e)^2, x)","F",0
313,0,0,0,0.000000," ","integrate(sec(f*x+e)^4*(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}} \sec\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(5/3)*sec(f*x + e)^4, x)","F",0
314,0,0,0,0.000000," ","integrate(cos(f*x+e)^4/(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{4}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^4/(b*sin(f*x + e))^(1/3), x)","F",0
315,0,0,0,0.000000," ","integrate(cos(f*x+e)^2/(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{2}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^2/(b*sin(f*x + e))^(1/3), x)","F",0
316,0,0,0,0.000000," ","integrate(1/(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(-1/3), x)","F",0
317,0,0,0,0.000000," ","integrate(sec(f*x+e)^2/(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{2}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^2/(b*sin(f*x + e))^(1/3), x)","F",0
318,0,0,0,0.000000," ","integrate(sec(f*x+e)^4/(b*sin(f*x+e))^(1/3),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{4}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^4/(b*sin(f*x + e))^(1/3), x)","F",0
319,0,0,0,0.000000," ","integrate(cos(f*x+e)^4/(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{4}}{\left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^4/(b*sin(f*x + e))^(5/3), x)","F",0
320,0,0,0,0.000000," ","integrate(cos(f*x+e)^2/(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \frac{\cos\left(f x + e\right)^{2}}{\left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(cos(f*x + e)^2/(b*sin(f*x + e))^(5/3), x)","F",0
321,0,0,0,0.000000," ","integrate(1/(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \frac{1}{\left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(-5/3), x)","F",0
322,0,0,0,0.000000," ","integrate(sec(f*x+e)^2/(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{2}}{\left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^2/(b*sin(f*x + e))^(5/3), x)","F",0
323,0,0,0,0.000000," ","integrate(sec(f*x+e)^4/(b*sin(f*x+e))^(5/3),x, algorithm=""giac"")","\int \frac{\sec\left(f x + e\right)^{4}}{\left(b \sin\left(f x + e\right)\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sec(f*x + e)^4/(b*sin(f*x + e))^(5/3), x)","F",0
324,-1,0,0,0.000000," ","integrate(sin(b*x+a)^(1/3)/cos(b*x+a)^(1/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
325,-1,0,0,0.000000," ","integrate(sin(b*x+a)^(2/3)/cos(b*x+a)^(2/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate(sin(b*x+a)^(4/3)/cos(b*x+a)^(4/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,0,0,0,0.000000," ","integrate(sin(b*x+a)^(5/3)/cos(b*x+a)^(5/3),x, algorithm=""giac"")","\int \frac{\sin\left(b x + a\right)^{\frac{5}{3}}}{\cos\left(b x + a\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(5/3)/cos(b*x + a)^(5/3), x)","F",0
328,-1,0,0,0.000000," ","integrate(sin(b*x+a)^(7/3)/cos(b*x+a)^(7/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
329,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(1/3)/sin(b*x+a)^(1/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(2/3)/sin(b*x+a)^(2/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
331,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(4/3)/sin(b*x+a)^(4/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(5/3)/sin(b*x+a)^(5/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
333,-1,0,0,0.000000," ","integrate(cos(b*x+a)^(7/3)/sin(b*x+a)^(7/3),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
334,0,0,0,0.000000," ","integrate(cos(x)^(2/3)/sin(x)^(8/3),x, algorithm=""giac"")","\int \frac{\cos\left(x\right)^{\frac{2}{3}}}{\sin\left(x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(cos(x)^(2/3)/sin(x)^(8/3), x)","F",0
335,0,0,0,0.000000," ","integrate(sin(x)^(2/3)/cos(x)^(8/3),x, algorithm=""giac"")","\int \frac{\sin\left(x\right)^{\frac{2}{3}}}{\cos\left(x\right)^{\frac{8}{3}}}\,{d x}"," ",0,"integrate(sin(x)^(2/3)/cos(x)^(8/3), x)","F",0
336,0,0,0,0.000000," ","integrate(cos(f*x+e)^n*sin(f*x+e)^m,x, algorithm=""giac"")","\int \cos\left(f x + e\right)^{n} \sin\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate(cos(f*x + e)^n*sin(f*x + e)^m, x)","F",0
337,0,0,0,0.000000," ","integrate((d*cos(f*x+e))^n*sin(f*x+e)^m,x, algorithm=""giac"")","\int \left(d \cos\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate((d*cos(f*x + e))^n*sin(f*x + e)^m, x)","F",0
338,0,0,0,0.000000," ","integrate(cos(f*x+e)^n*(b*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \sin\left(f x + e\right)\right)^{m} \cos\left(f x + e\right)^{n}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^m*cos(f*x + e)^n, x)","F",0
339,0,0,0,0.000000," ","integrate((d*cos(f*x+e))^n*(b*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(d \cos\left(f x + e\right)\right)^{n} \left(b \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((d*cos(f*x + e))^n*(b*sin(f*x + e))^m, x)","F",0
340,-1,0,0,0.000000," ","integrate(cos(b*x+a)^5*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
341,1,92,0,3.049584," ","integrate(cos(b*x+a)^3*(c*sin(b*x+a))^m,x, algorithm=""giac"")","-\frac{\left(c \sin\left(b x + a\right)\right)^{m} m \sin\left(b x + a\right)^{3} + \left(c \sin\left(b x + a\right)\right)^{m} \sin\left(b x + a\right)^{3} - \left(c \sin\left(b x + a\right)\right)^{m} m \sin\left(b x + a\right) - 3 \, \left(c \sin\left(b x + a\right)\right)^{m} \sin\left(b x + a\right)}{{\left(m^{2} + 4 \, m + 3\right)} b}"," ",0,"-((c*sin(b*x + a))^m*m*sin(b*x + a)^3 + (c*sin(b*x + a))^m*sin(b*x + a)^3 - (c*sin(b*x + a))^m*m*sin(b*x + a) - 3*(c*sin(b*x + a))^m*sin(b*x + a))/((m^2 + 4*m + 3)*b)","A",0
342,1,24,0,1.927517," ","integrate(cos(b*x+a)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\frac{\left(c \sin\left(b x + a\right)\right)^{m + 1}}{b c {\left(m + 1\right)}}"," ",0,"(c*sin(b*x + a))^(m + 1)/(b*c*(m + 1))","A",0
343,0,0,0,0.000000," ","integrate(sec(b*x+a)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*sec(b*x + a), x)","F",0
344,0,0,0,0.000000," ","integrate(sec(b*x+a)^3*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*sec(b*x + a)^3, x)","F",0
345,0,0,0,0.000000," ","integrate(cos(b*x+a)^4*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \cos\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*cos(b*x + a)^4, x)","F",0
346,0,0,0,0.000000," ","integrate(cos(b*x+a)^2*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \cos\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*cos(b*x + a)^2, x)","F",0
347,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m, x)","F",0
348,0,0,0,0.000000," ","integrate(sec(b*x+a)^2*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \sec\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*sec(b*x + a)^2, x)","F",0
349,0,0,0,0.000000," ","integrate(sec(b*x+a)^4*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{m} \sec\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m*sec(b*x + a)^4, x)","F",0
350,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(3/2)*(c*sin(b*x + a))^m, x)","F",0
351,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \sqrt{d \cos\left(b x + a\right)} \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate(sqrt(d*cos(b*x + a))*(c*sin(b*x + a))^m, x)","F",0
352,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m/(d*cos(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{m}}{\sqrt{d \cos\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m/sqrt(d*cos(b*x + a)), x)","F",0
353,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m/(d*cos(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{m}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m/(d*cos(b*x + a))^(3/2), x)","F",0
354,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m/(d*cos(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{m}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m/(d*cos(b*x + a))^(5/2), x)","F",0
355,-1,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
356,1,100,0,1.728347," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{\left(d \cos\left(b x + a\right)\right)^{n} n \cos\left(b x + a\right)^{3}}{b} + \frac{\left(d \cos\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)^{3}}{b} - \frac{\left(d \cos\left(b x + a\right)\right)^{n} n \cos\left(b x + a\right)}{b} - \frac{3 \, \left(d \cos\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)}{b}}{n^{2} + 4 \, n + 3}"," ",0,"((d*cos(b*x + a))^n*n*cos(b*x + a)^3/b + (d*cos(b*x + a))^n*cos(b*x + a)^3/b - (d*cos(b*x + a))^n*n*cos(b*x + a)/b - 3*(d*cos(b*x + a))^n*cos(b*x + a)/b)/(n^2 + 4*n + 3)","A",0
357,1,25,0,1.921687," ","integrate((d*cos(b*x+a))^n*sin(b*x+a),x, algorithm=""giac"")","-\frac{\left(d \cos\left(b x + a\right)\right)^{n + 1}}{b d {\left(n + 1\right)}}"," ",0,"-(d*cos(b*x + a))^(n + 1)/(b*d*(n + 1))","A",0
358,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*csc(b*x+a),x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*csc(b*x + a), x)","F",0
359,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*csc(b*x+a)^3,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*csc(b*x + a)^3, x)","F",0
360,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*csc(b*x+a)^5,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \csc\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*csc(b*x + a)^5, x)","F",0
361,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \sin\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*sin(b*x + a)^4, x)","F",0
362,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \sin\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*sin(b*x + a)^2, x)","F",0
363,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n, x)","F",0
364,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*csc(b*x+a)^2,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \csc\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*csc(b*x + a)^2, x)","F",0
365,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*csc(b*x+a)^4,x, algorithm=""giac"")","\int \left(d \cos\left(b x + a\right)\right)^{n} \csc\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n*csc(b*x + a)^4, x)","F",0
366,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*(c*sin(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}} \left(d \cos\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)*(d*cos(b*x + a))^n, x)","F",0
367,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}} \left(d \cos\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)*(d*cos(b*x + a))^n, x)","F",0
368,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \sin\left(b x + a\right)} \left(d \cos\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))*(d*cos(b*x + a))^n, x)","F",0
369,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(d \cos\left(b x + a\right)\right)^{n}}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n/sqrt(c*sin(b*x + a)), x)","F",0
370,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^n/(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(d \cos\left(b x + a\right)\right)^{n}}{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^n/(c*sin(b*x + a))^(3/2), x)","F",0
371,-2,0,0,0.000000," ","integrate(sin(f*x+e)^7*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-256/195*(390*b^2*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^9+702*b^3*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^8-1716*b^3*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^7-1716*b^4*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^6+1872*b^4*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^5+1040*b^5*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^4+26*b^6*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))-572*b^5*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3-156*b^6*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+2*b^7)*sign(cos(f*x+exp(1)))/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)-sqrt(-b))^13/f","F(-2)",0
372,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-64/45*(-60*b^2*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^6+90*b^2*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^5+162*b^3*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^4+18*b^4*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))-108*b^3*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3-72*b^4*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+2*b^5)*sign(cos(f*x+exp(1)))/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)-sqrt(-b))^9/f","F(-2)",0
373,-2,0,0,0.000000," ","integrate(sin(f*x+e)^3*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-16/5*(5*b^2*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))-5*b*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3-5*b^2*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+b^3)*sign(cos(f*x+exp(1)))/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)-sqrt(-b))^5/f","F(-2)",0
374,-2,0,0,0.000000," ","integrate(sin(f*x+e)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-2*sqrt(b*cos(f*x+exp(1)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
375,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-2*(-1/4*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))-1/2*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
376,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(-1/16*sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+2*(3/32*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))+1/16*b*sqrt(-b)/((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b)+3/16*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
377,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*(2*sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)*(-5/128-1/256*tan(1/2*(f*x+exp(1)))^2)+2*(21/256*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))-1/128*(-b^2*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))-b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3-10*b*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+10*b^2*sqrt(-b))/((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b)^2+21/128*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
378,0,0,0,0.000000," ","integrate(sin(f*x+e)^6*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*sin(f*x + e)^6, x)","F",0
379,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*sin(f*x + e)^4, x)","F",0
380,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*sin(f*x + e)^2, x)","F",0
381,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e)), x)","F",0
382,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*csc(f*x + e)^2, x)","F",0
383,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*csc(f*x + e)^4, x)","F",0
384,0,0,0,0.000000," ","integrate(csc(f*x+e)^6*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*csc(f*x + e)^6, x)","F",0
385,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^7,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{7}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^7, x)","F",0
386,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^5,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^5, x)","F",0
387,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^3,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^3, x)","F",0
388,-2,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)b*4*b*sign(cos(f*x+exp(1)))/f/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+sqrt(-b))","F(-2)",0
389,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)b*2*(-2*b/(sqrt(-b)*tan(1/2*(f*x+exp(1)))^2-sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)-sqrt(-b))-1/4*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))+1/2*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
390,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)b*2*(1/16*sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+2*(-5/32*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))+1/16*(b*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))+16*b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-17*b^2)/(-b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))+(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3+sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b*sqrt(-b))+5/16*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
391,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^6,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^6, x)","F",0
392,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^4,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^4, x)","F",0
393,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^2,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*sin(f*x + e)^2, x)","F",0
394,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2), x)","F",0
395,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*csc(f*x + e)^2, x)","F",0
396,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*csc(f*x + e)^4, x)","F",0
397,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^7,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{7}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^7, x)","F",0
398,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^5,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^5, x)","F",0
399,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^3,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^3, x)","F",0
400,-2,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-4/3*b^2*(3*b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b^2)*sign(cos(f*x+exp(1)))/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+sqrt(-b))^3/f","F(-2)",0
401,-2,0,0,0.000000," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*b^2*(1/4*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))+1/3*(-6*b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+2*b^2)/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+sqrt(-b))^3+1/2*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b))*sign(cos(f*x+exp(1)))/f","F(-2)",0
402,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*b^2*(-1/16*sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+2*(7/32*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))+1/3*(-3*b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+b^2)/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+sqrt(-b))^3+1/16*b*sqrt(-b)/((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b)+7/16*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
403,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5*(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)2*b^2*(2*sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)*(-9/128-1/256*tan(1/2*(f*x+exp(1)))^2)+2*(77/256*sqrt(-b)*ln(abs(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)))-1/128*(-b^2*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))-b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^3-18*b*sqrt(-b)*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+18*b^2*sqrt(-b))/((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2-b)^2+1/3*(-3*b*(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))^2+b^2)/(-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b)+sqrt(-b))^3+77/128*b*atan((-sqrt(-b)*tan(1/2*(f*x+exp(1)))^2+sqrt(-b*tan(1/2*(f*x+exp(1)))^4+b))/sqrt(-b))/sqrt(-b)))*sign(cos(f*x+exp(1)))/f","F(-2)",0
404,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^6,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^6, x)","F",0
405,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^4,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^4, x)","F",0
406,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^2,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*sin(f*x + e)^2, x)","F",0
407,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2), x)","F",0
408,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*csc(f*x + e)^2, x)","F",0
409,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(5/2)*csc(f*x + e)^4, x)","F",0
410,-2,0,0,0.000000," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2/1155*(-147840*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^11-88704*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^10+542080*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^9+190080*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8-633600*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7-98560*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6+295680*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5+26880*b^5*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+1920*b^6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-58240*b^5*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-13440*b^6*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+128*b^7)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^15/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
411,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2/231*(4928*b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8-2464*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7-12320*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6+2464*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5+8096*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+352*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-352*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-1760*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+32*b^5)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^11/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
412,1,50,0,1.691082," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, b^{4} - \frac{7 \, b^{4}}{\cos\left(f x + e\right)^{2}}\right)} \cos\left(f x + e\right)^{3}}{21 \, b^{4} f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"2/21*(3*b^4 - 7*b^4/cos(f*x + e)^2)*cos(f*x + e)^3/(b^4*f*sqrt(b/cos(f*x + e)))","A",0
413,-2,0,0,0.000000," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)-2/3*cos(f*x+exp(1))/f*sqrt(b*f*cos(f*x+exp(1))/f)*abs(f)*sign(cos(f*x+exp(1)))*sign(f)/b/f","F(-2)",0
414,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/2*(-atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)-1/2*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
415,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/16*(-sqrt(-b*tan((f*x+exp(1))/2)^4+b)/b+2*(sqrt(-b)/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)-atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)-1/2*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
416,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/64*(2*sqrt(-b*tan((f*x+exp(1))/2)^4+b)*(-1/4*tan((f*x+exp(1))/2)^2/b-3/2/b)+2*(1/2*(-b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+6*b*sqrt(-b))/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)^2-5/2*atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)-5/4*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
417,0,0,0,0.000000," ","integrate(sin(f*x+e)^6/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^6/sqrt(b*sec(f*x + e)), x)","F",0
418,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/sqrt(b*sec(f*x + e)), x)","F",0
419,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/sqrt(b*sec(f*x + e)), x)","F",0
420,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/sqrt(b*sec(f*x + e)), x)","F",0
421,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/sqrt(b*sec(f*x + e)), x)","F",0
422,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/sqrt(b*sec(f*x + e)), x)","F",0
423,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/sqrt(b*sec(f*x + e)), x)","F",0
424,-2,0,0,0.000000," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/b/f*2/3315*(424320*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^13-254592*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^12-2036736*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^11+678912*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^10+3818880*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^9-707200*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8-3168256*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7+452608*b^5*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6+1046656*b^5*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5-119680*b^6*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+2176*b^7*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-87040*b^6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-17408*b^7*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+128*b^8)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^17/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
425,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/b/f*2/585*(-12480*b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^10-6240*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^9+48672*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8+9984*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7-64896*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6-7488*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5+29120*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+416*b^5*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))+3328*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-2496*b^5*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+32*b^6)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^13/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
426,1,50,0,1.721680," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\frac{2 \, {\left(5 \, b^{5} - \frac{9 \, b^{5}}{\cos\left(f x + e\right)^{2}}\right)} \cos\left(f x + e\right)^{4}}{45 \, b^{6} f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"2/45*(5*b^5 - 9*b^5/cos(f*x + e)^2)*cos(f*x + e)^4/(b^6*f*sqrt(b/cos(f*x + e)))","A",0
427,1,30,0,1.533323," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","-\frac{2 \, \cos\left(f x + e\right)^{2}}{5 \, b f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"-2/5*cos(f*x + e)^2/(b*f*sqrt(b/cos(f*x + e)))","A",0
428,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/b/f*2/(sqrt(-b)*tan((f*x+exp(1))/2)^2-sqrt(-b*tan((f*x+exp(1))/2)^4+b)+sqrt(-b))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
429,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/b/f/16*(sqrt(-b*tan((f*x+exp(1))/2)^4+b)/b+2*(sqrt(-b)/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)+atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)-1/2*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
430,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/b/f/64*(2*(1/4*tan((f*x+exp(1))/2)^2/b+1/2/b)*sqrt(-b*tan((f*x+exp(1))/2)^4+b)+2*(1/2*(-b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+2*b*sqrt(-b))/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)^2+3/2*atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)-3/4*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
431,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/(b*sec(f*x + e))^(3/2), x)","F",0
432,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*sec(f*x + e))^(3/2), x)","F",0
433,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(-3/2), x)","F",0
434,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*sec(f*x + e))^(3/2), x)","F",0
435,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*sec(f*x + e))^(3/2), x)","F",0
436,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*sec(f*x + e))^(3/2), x)","F",0
437,-2,0,0,0.000000," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2/b^2/7315*(-936320*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^15+1685376*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^14+7303296*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^13-6768256*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^12-19341696*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^11+11316096*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^10+23140480*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^9-9667200*b^5*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8-13217920*b^5*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7+3830400*b^6*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6+3173760*b^6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5-440192*b^7*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+2432*b^8*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-124032*b^7*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-21888*b^8*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+128*b^9)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^19/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
438,-2,0,0,0.000000," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f*2/b^2/1155*(24640*b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^12+36960*b*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^11-170016*b^2*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^10-110880*b^2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^9+343200*b^3*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^8+137280*b^3*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^7-271040*b^4*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^6-73920*b^4*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^5+80640*b^5*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^4+480*b^6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))+10080*b^5*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3-3360*b^6*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+32*b^7)/(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)-sqrt(-b))^15/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
439,1,50,0,1.667085," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(7 \, b^{4} - \frac{11 \, b^{4}}{\cos\left(f x + e\right)^{2}}\right)} \cos\left(f x + e\right)^{5}}{77 \, b^{6} f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"2/77*(7*b^4 - 11*b^4/cos(f*x + e)^2)*cos(f*x + e)^5/(b^6*f*sqrt(b/cos(f*x + e)))","A",0
440,1,30,0,2.105346," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","-\frac{2 \, \cos\left(f x + e\right)^{3}}{7 \, b^{2} f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"-2/7*cos(f*x + e)^3/(b^2*f*sqrt(b/cos(f*x + e)))","A",0
441,-2,0,0,0.000000," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/b^2/2*2*(1/3*(-6*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+2*b*sqrt(-b))/sqrt(-b)/(sqrt(-b)*tan((f*x+exp(1))/2)^2-sqrt(-b*tan((f*x+exp(1))/2)^4+b)+sqrt(-b))^3/sign(tan((f*x+exp(1))/2)^2-1)-1/2*atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)/sign(tan((f*x+exp(1))/2)^2-1)-1/4*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)/sign(tan((f*x+exp(1))/2)^2-1))","F(-2)",0
442,-2,0,0,0.000000," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/b^2/16*(-sqrt(-b*tan((f*x+exp(1))/2)^4+b)/b+2*(sqrt(-b)/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)+3*atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)+3/2*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
443,-2,0,0,0.000000," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)Unable to check sign: (4*pi/x/2)>(-4*pi/x/2)2/f/b^2/64*(2*sqrt(-b*tan((f*x+exp(1))/2)^4+b)*(-1/4*tan((f*x+exp(1))/2)^2/b+1/2/b)+2*(1/2*(-b*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^3+2*sqrt(-b)*(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2-2*b*sqrt(-b))/(-(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))^2+b)^2+3/2*atan((-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b))/sqrt(-b))/sqrt(-b)+3/4*ln(abs(-sqrt(-b)*tan((f*x+exp(1))/2)^2+sqrt(-b*tan((f*x+exp(1))/2)^4+b)))/sqrt(-b)))/sign(tan((f*x+exp(1))/2)^2-1)","F(-2)",0
444,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{4}}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^4/(b*sec(f*x + e))^(5/2), x)","F",0
445,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(b*sec(f*x + e))^(5/2), x)","F",0
446,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(-5/2), x)","F",0
447,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(b*sec(f*x + e))^(5/2), x)","F",0
448,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(b*sec(f*x + e))^(5/2), x)","F",0
449,0,0,0,0.000000," ","integrate(csc(f*x+e)^6/(b*sec(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{6}}{\left(b \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^6/(b*sec(f*x + e))^(5/2), x)","F",0
450,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(9/2)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(a*sin(f*x + e))^(9/2), x)","F",0
451,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(a*sin(f*x + e))^(5/2), x)","F",0
452,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \sqrt{a \sin\left(f x + e\right)}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*sqrt(a*sin(f*x + e)), x)","F",0
453,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(a*sin(f*x + e))^(3/2), x)","F",0
454,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(a*sin(f*x + e))^(7/2), x)","F",0
455,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(11/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(a*sin(f*x + e))^(11/2), x)","F",0
456,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(7/2)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(a*sin(f*x + e))^(7/2), x)","F",0
457,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)*(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \sec\left(f x + e\right)} \left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(a*sin(f*x + e))^(3/2), x)","F",0
458,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\sqrt{a \sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/sqrt(a*sin(f*x + e)), x)","F",0
459,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(a*sin(f*x + e))^(5/2), x)","F",0
460,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(a*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(a*sin(f*x + e))^(9/2), x)","F",0
461,0,0,0,0.000000," ","integrate(sin(f*x+e)^(9/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{\frac{9}{2}}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^(9/2)/sqrt(b*sec(f*x + e)), x)","F",0
462,0,0,0,0.000000," ","integrate(sin(f*x+e)^(5/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{\frac{5}{2}}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^(5/2)/sqrt(b*sec(f*x + e)), x)","F",0
463,0,0,0,0.000000," ","integrate(sin(f*x+e)^(1/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{\sin\left(f x + e\right)}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(sin(f*x + e))/sqrt(b*sec(f*x + e)), x)","F",0
464,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(3/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(3/2)), x)","F",0
465,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(7/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(7/2)), x)","F",0
466,0,0,0,0.000000," ","integrate(sin(f*x+e)^(3/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{\frac{3}{2}}}{\sqrt{b \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^(3/2)/sqrt(b*sec(f*x + e)), x)","F",0
467,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(1/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sqrt{\sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sqrt(sin(f*x + e))), x)","F",0
468,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(5/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(5/2)), x)","F",0
469,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(9/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(9/2)), x)","F",0
470,-1,0,0,0.000000," ","integrate(1/sin(f*x+e)^(13/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
471,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(17/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{17}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(17/2)), x)","F",0
472,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(9/2)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(9/2)/(b*sec(f*x + e))^(3/2), x)","F",0
473,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(5/2)/(b*sec(f*x + e))^(3/2), x)","F",0
474,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{a \sin\left(f x + e\right)}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))/(b*sec(f*x + e))^(3/2), x)","F",0
475,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*(a*sin(f*x + e))^(3/2)), x)","F",0
476,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*(a*sin(f*x + e))^(7/2)), x)","F",0
477,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(7/2)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(7/2)/(b*sec(f*x + e))^(3/2), x)","F",0
478,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)/(b*sec(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)/(b*sec(f*x + e))^(3/2), x)","F",0
479,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sqrt{a \sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*sqrt(a*sin(f*x + e))), x)","F",0
480,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*(a*sin(f*x + e))^(5/2)), x)","F",0
481,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(9/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*(a*sin(f*x + e))^(9/2)), x)","F",0
482,0,0,0,0.000000," ","integrate(1/(b*sec(f*x+e))^(3/2)/(a*sin(f*x+e))^(13/2),x, algorithm=""giac"")","\int \frac{1}{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(1/((b*sec(f*x + e))^(3/2)*(a*sin(f*x + e))^(13/2)), x)","F",0
483,0,0,0,0.000000," ","integrate((d*sec(b*x+a))^(5/2)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(d \sec\left(b x + a\right)\right)^{\frac{5}{2}} \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate((d*sec(b*x + a))^(5/2)*(c*sin(b*x + a))^m, x)","F",0
484,0,0,0,0.000000," ","integrate((d*sec(b*x+a))^(3/2)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \left(d \sec\left(b x + a\right)\right)^{\frac{3}{2}} \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate((d*sec(b*x + a))^(3/2)*(c*sin(b*x + a))^m, x)","F",0
485,0,0,0,0.000000," ","integrate((d*sec(b*x+a))^(1/2)*(c*sin(b*x+a))^m,x, algorithm=""giac"")","\int \sqrt{d \sec\left(b x + a\right)} \left(c \sin\left(b x + a\right)\right)^{m}\,{d x}"," ",0,"integrate(sqrt(d*sec(b*x + a))*(c*sin(b*x + a))^m, x)","F",0
486,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m/(d*sec(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{m}}{\sqrt{d \sec\left(b x + a\right)}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m/sqrt(d*sec(b*x + a)), x)","F",0
487,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^m/(d*sec(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{m}}{\left(d \sec\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^m/(d*sec(b*x + a))^(3/2), x)","F",0
488,0,0,0,0.000000," ","integrate(sec(f*x+e)^n*sin(f*x+e)^m,x, algorithm=""giac"")","\int \sec\left(f x + e\right)^{n} \sin\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate(sec(f*x + e)^n*sin(f*x + e)^m, x)","F",0
489,0,0,0,0.000000," ","integrate(sec(f*x+e)^n*(a*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \sec\left(f x + e\right)^{n}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*sec(f*x + e)^n, x)","F",0
490,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^m,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^m, x)","F",0
491,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*(a*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \left(a \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*(a*sin(f*x + e))^m, x)","F",0
492,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^5,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^5, x)","F",0
493,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^3,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^3, x)","F",0
494,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e),x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e), x)","F",0
495,0,0,0,0.000000," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*csc(f*x + e), x)","F",0
496,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*csc(f*x + e)^3, x)","F",0
497,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^6,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^6, x)","F",0
498,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^4,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^4, x)","F",0
499,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^2,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*sin(f*x + e)^2, x)","F",0
500,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n, x)","F",0
501,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(b*sec(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*csc(f*x + e)^2, x)","F",0
502,0,0,0,0.000000," ","integrate(csc(f*x+e)^4*(b*sec(f*x+e))^n,x, algorithm=""giac"")","\int \left(b \sec\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^n*csc(f*x + e)^4, x)","F",0
503,0,0,0,0.000000," ","integrate((b*sec(b*x+a))^n*(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}} \left(b \sec\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)*(b*sec(b*x + a))^n, x)","F",0
504,0,0,0,0.000000," ","integrate((b*sec(b*x+a))^n*(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \sin\left(b x + a\right)} \left(b \sec\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate(sqrt(c*sin(b*x + a))*(b*sec(b*x + a))^n, x)","F",0
505,0,0,0,0.000000," ","integrate((b*sec(b*x+a))^n/(c*sin(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{\left(b \sec\left(b x + a\right)\right)^{n}}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate((b*sec(b*x + a))^n/sqrt(c*sin(b*x + a)), x)","F",0
506,0,0,0,0.000000," ","integrate((b*sec(b*x+a))^n/(c*sin(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{\left(b \sec\left(b x + a\right)\right)^{n}}{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*sec(b*x + a))^n/(c*sin(b*x + a))^(3/2), x)","F",0
507,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*sin(f*x + e)^4, x)","F",0
508,0,0,0,0.000000," ","integrate(sin(f*x+e)^3*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*sin(f*x + e)^3, x)","F",0
509,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*sin(f*x + e)^2, x)","F",0
510,0,0,0,0.000000," ","integrate(sin(f*x+e)*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*sin(f*x + e), x)","F",0
511,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e)), x)","F",0
512,0,0,0,0.000000," ","integrate(csc(f*x+e)*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*csc(f*x + e), x)","F",0
513,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*csc(f*x + e)^2, x)","F",0
514,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \sqrt{d \csc\left(f x + e\right)} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*csc(f*x + e))*csc(f*x + e)^3, x)","F",0
515,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2)*sin(f*x+e)^5,x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*sin(f*x + e)^5, x)","F",0
516,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2)*sin(f*x+e)^4,x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*sin(f*x + e)^4, x)","F",0
517,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2)*sin(f*x+e)^3,x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*sin(f*x + e)^3, x)","F",0
518,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2)*sin(f*x+e)^2,x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*sin(f*x + e)^2, x)","F",0
519,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2)*sin(f*x+e),x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*sin(f*x + e), x)","F",0
520,0,0,0,0.000000," ","integrate((d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2), x)","F",0
521,0,0,0,0.000000," ","integrate(csc(f*x+e)*(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*csc(f*x + e), x)","F",0
522,0,0,0,0.000000," ","integrate(csc(f*x+e)^2*(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(3/2)*csc(f*x + e)^2, x)","F",0
523,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{3}}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^3/sqrt(d*csc(f*x + e)), x)","F",0
524,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/sqrt(d*csc(f*x + e)), x)","F",0
525,0,0,0,0.000000," ","integrate(sin(f*x+e)/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sin(f*x + e)/sqrt(d*csc(f*x + e)), x)","F",0
526,0,0,0,0.000000," ","integrate(1/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/sqrt(d*csc(f*x + e)), x)","F",0
527,0,0,0,0.000000," ","integrate(csc(f*x+e)/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)/sqrt(d*csc(f*x + e)), x)","F",0
528,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/sqrt(d*csc(f*x + e)), x)","F",0
529,0,0,0,0.000000," ","integrate(csc(f*x+e)^3/(d*csc(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{3}}{\sqrt{d \csc\left(f x + e\right)}}\,{d x}"," ",0,"integrate(csc(f*x + e)^3/sqrt(d*csc(f*x + e)), x)","F",0
530,0,0,0,0.000000," ","integrate(sin(f*x+e)^2/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)^{2}}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)^2/(d*csc(f*x + e))^(3/2), x)","F",0
531,0,0,0,0.000000," ","integrate(sin(f*x+e)/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\sin\left(f x + e\right)}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(f*x + e)/(d*csc(f*x + e))^(3/2), x)","F",0
532,0,0,0,0.000000," ","integrate(1/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*csc(f*x + e))^(-3/2), x)","F",0
533,0,0,0,0.000000," ","integrate(csc(f*x+e)/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)/(d*csc(f*x + e))^(3/2), x)","F",0
534,0,0,0,0.000000," ","integrate(csc(f*x+e)^2/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{2}}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^2/(d*csc(f*x + e))^(3/2), x)","F",0
535,0,0,0,0.000000," ","integrate(csc(f*x+e)^3/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{3}}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^3/(d*csc(f*x + e))^(3/2), x)","F",0
536,0,0,0,0.000000," ","integrate(csc(f*x+e)^4/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{4}}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^4/(d*csc(f*x + e))^(3/2), x)","F",0
537,0,0,0,0.000000," ","integrate(csc(f*x+e)^5/(d*csc(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{\csc\left(f x + e\right)^{5}}{\left(d \csc\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(f*x + e)^5/(d*csc(f*x + e))^(3/2), x)","F",0
538,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^n*(a*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \csc\left(f x + e\right)\right)^{n} \left(a \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^n*(a*sin(f*x + e))^m, x)","F",0
