1,1,11,0,0.898545," ","integrate(sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)}{b}"," ",0,"-cos(b*x + a)/b","A",0
2,1,24,0,0.334897," ","integrate(sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, b x + 2 \, a - \sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a - sin(2*b*x + 2*a))/b","A",0
3,1,22,0,0.326917," ","integrate(sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(cos(b*x + a)^3 - 3*cos(b*x + a))/b","A",0
4,1,33,0,0.315898," ","integrate(sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{12 \, b x + 12 \, a + \sin\left(4 \, b x + 4 \, a\right) - 8 \, \sin\left(2 \, b x + 2 \, a\right)}{32 \, b}"," ",0,"1/32*(12*b*x + 12*a + sin(4*b*x + 4*a) - 8*sin(2*b*x + 2*a))/b","A",0
5,1,34,0,0.318745," ","integrate(sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, \cos\left(b x + a\right)^{5} - 10 \, \cos\left(b x + a\right)^{3} + 15 \, \cos\left(b x + a\right)}{15 \, b}"," ",0,"-1/15*(3*cos(b*x + a)^5 - 10*cos(b*x + a)^3 + 15*cos(b*x + a))/b","A",0
6,1,48,0,0.318300," ","integrate(sin(b*x+a)^6,x, algorithm=""maxima"")","\frac{4 \, \sin\left(2 \, b x + 2 \, a\right)^{3} + 60 \, b x + 60 \, a + 9 \, \sin\left(4 \, b x + 4 \, a\right) - 48 \, \sin\left(2 \, b x + 2 \, a\right)}{192 \, b}"," ",0,"1/192*(4*sin(2*b*x + 2*a)^3 + 60*b*x + 60*a + 9*sin(4*b*x + 4*a) - 48*sin(2*b*x + 2*a))/b","A",0
7,1,44,0,0.325239," ","integrate(sin(b*x+a)^7,x, algorithm=""maxima"")","\frac{5 \, \cos\left(b x + a\right)^{7} - 21 \, \cos\left(b x + a\right)^{5} + 35 \, \cos\left(b x + a\right)^{3} - 35 \, \cos\left(b x + a\right)}{35 \, b}"," ",0,"1/35*(5*cos(b*x + a)^7 - 21*cos(b*x + a)^5 + 35*cos(b*x + a)^3 - 35*cos(b*x + a))/b","A",0
8,1,59,0,0.337008," ","integrate(sin(b*x+a)^8,x, algorithm=""maxima"")","\frac{128 \, \sin\left(2 \, b x + 2 \, a\right)^{3} + 840 \, b x + 840 \, a + 3 \, \sin\left(8 \, b x + 8 \, a\right) + 168 \, \sin\left(4 \, b x + 4 \, a\right) - 768 \, \sin\left(2 \, b x + 2 \, a\right)}{3072 \, b}"," ",0,"1/3072*(128*sin(2*b*x + 2*a)^3 + 840*b*x + 840*a + 3*sin(8*b*x + 8*a) + 168*sin(4*b*x + 4*a) - 768*sin(2*b*x + 2*a))/b","A",0
9,0,0,0,0.000000," ","integrate(sin(b*x)^(7/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
42,1,13,0,0.325880," ","integrate(cos(b*x+a)^3*sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)^{4}}{4 \, b}"," ",0,"-1/4*cos(b*x + a)^4/b","A",0
43,1,13,0,0.320651," ","integrate(cos(b*x+a)^2*sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)^{3}}{3 \, b}"," ",0,"-1/3*cos(b*x + a)^3/b","A",0
44,1,13,0,0.326173," ","integrate(cos(b*x+a)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)^{2}}{2 \, b}"," ",0,"-1/2*cos(b*x + a)^2/b","A",0
45,1,18,0,0.373016," ","integrate(sec(b*x+a)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(-\sin\left(b x + a\right)^{2} + 1\right)}{2 \, b}"," ",0,"-1/2*log(-sin(b*x + a)^2 + 1)/b","A",0
46,1,12,0,0.318779," ","integrate(sec(b*x+a)^2*sin(b*x+a),x, algorithm=""maxima"")","\frac{1}{b \cos\left(b x + a\right)}"," ",0,"1/(b*cos(b*x + a))","A",0
47,1,17,0,0.315975," ","integrate(sec(b*x+a)^3*sin(b*x+a),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(\sin\left(b x + a\right)^{2} - 1\right)} b}"," ",0,"-1/2/((sin(b*x + a)^2 - 1)*b)","A",0
48,1,13,0,0.312105," ","integrate(sec(b*x+a)^4*sin(b*x+a),x, algorithm=""maxima"")","\frac{1}{3 \, b \cos\left(b x + a\right)^{3}}"," ",0,"1/3/(b*cos(b*x + a)^3)","A",0
49,1,46,0,0.307484," ","integrate(cos(b*x+a)^7*sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{35 \, \sin\left(b x + a\right)^{9} - 135 \, \sin\left(b x + a\right)^{7} + 189 \, \sin\left(b x + a\right)^{5} - 105 \, \sin\left(b x + a\right)^{3}}{315 \, b}"," ",0,"-1/315*(35*sin(b*x + a)^9 - 135*sin(b*x + a)^7 + 189*sin(b*x + a)^5 - 105*sin(b*x + a)^3)/b","A",0
50,1,36,0,0.304234," ","integrate(cos(b*x+a)^5*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{15 \, \sin\left(b x + a\right)^{7} - 42 \, \sin\left(b x + a\right)^{5} + 35 \, \sin\left(b x + a\right)^{3}}{105 \, b}"," ",0,"1/105*(15*sin(b*x + a)^7 - 42*sin(b*x + a)^5 + 35*sin(b*x + a)^3)/b","A",0
51,1,26,0,0.313956," ","integrate(cos(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""maxima"")","-\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
52,1,13,0,0.306769," ","integrate(cos(b*x+a)*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/3*sin(b*x + a)^3/b","A",0
53,1,18,0,0.425682," ","integrate(sec(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b x + a - \tan\left(b x + a\right)}{b}"," ",0,"-(b*x + a - tan(b*x + a))/b","A",0
54,1,13,0,0.319301," ","integrate(sec(b*x+a)^4*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{\tan\left(b x + a\right)^{3}}{3 \, b}"," ",0,"1/3*tan(b*x + a)^3/b","A",0
55,1,26,0,0.342249," ","integrate(sec(b*x+a)^6*sin(b*x+a)^2,x, algorithm=""maxima"")","\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
56,1,36,0,0.319157," ","integrate(sec(b*x+a)^8*sin(b*x+a)^2,x, algorithm=""maxima"")","\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
57,1,46,0,0.314646," ","integrate(sec(b*x+a)^10*sin(b*x+a)^2,x, algorithm=""maxima"")","\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
58,1,48,0,0.317284," ","integrate(cos(b*x+a)^6*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{64 \, \sin\left(2 \, b x + 2 \, a\right)^{3} + 120 \, b x + 120 \, a - 3 \, \sin\left(8 \, b x + 8 \, a\right) - 24 \, \sin\left(4 \, b x + 4 \, a\right)}{3072 \, b}"," ",0,"1/3072*(64*sin(2*b*x + 2*a)^3 + 120*b*x + 120*a - 3*sin(8*b*x + 8*a) - 24*sin(4*b*x + 4*a))/b","A",0
59,1,37,0,0.309805," ","integrate(cos(b*x+a)^4*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{4 \, \sin\left(2 \, b x + 2 \, a\right)^{3} + 12 \, b x + 12 \, a - 3 \, \sin\left(4 \, b x + 4 \, a\right)}{192 \, b}"," ",0,"1/192*(4*sin(2*b*x + 2*a)^3 + 12*b*x + 12*a - 3*sin(4*b*x + 4*a))/b","A",0
60,1,24,0,0.312409," ","integrate(cos(b*x+a)^2*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{4 \, b x + 4 \, a - \sin\left(4 \, b x + 4 \, a\right)}{32 \, b}"," ",0,"1/32*(4*b*x + 4*a - sin(4*b*x + 4*a))/b","A",0
61,1,24,0,0.312916," ","integrate(sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{2 \, b x + 2 \, a - \sin\left(2 \, b x + 2 \, a\right)}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a - sin(2*b*x + 2*a))/b","A",0
62,1,34,0,0.321257," ","integrate(sec(b*x+a)*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{\log\left(\sin\left(b x + a\right) + 1\right) - \log\left(\sin\left(b x + a\right) - 1\right) - 2 \, \sin\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(log(sin(b*x + a) + 1) - log(sin(b*x + a) - 1) - 2*sin(b*x + a))/b","A",0
63,1,46,0,0.318782," ","integrate(sec(b*x+a)^3*sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\frac{2 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} + \log\left(\sin\left(b x + a\right) + 1\right) - \log\left(\sin\left(b x + a\right) - 1\right)}{4 \, b}"," ",0,"-1/4*(2*sin(b*x + a)/(sin(b*x + a)^2 - 1) + log(sin(b*x + a) + 1) - log(sin(b*x + a) - 1))/b","A",0
64,1,65,0,0.337128," ","integrate(sec(b*x+a)^5*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(\sin\left(b x + a\right)^{3} + \sin\left(b x + a\right)\right)}}{\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2} + 1} - \log\left(\sin\left(b x + a\right) + 1\right) + \log\left(\sin\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"1/16*(2*(sin(b*x + a)^3 + sin(b*x + a))/(sin(b*x + a)^4 - 2*sin(b*x + a)^2 + 1) - log(sin(b*x + a) + 1) + log(sin(b*x + a) - 1))/b","A",0
65,1,91,0,0.321549," ","integrate(sec(b*x+a)^7*sin(b*x+a)^2,x, algorithm=""maxima"")","\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)}}{\sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4} + 3 \, \sin\left(b x + a\right)^{2} - 1} - 3 \, \log\left(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\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)^6 - 3*sin(b*x + a)^4 + 3*sin(b*x + a)^2 - 1) - 3*log(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1))/b","A",0
66,1,36,0,0.319343," ","integrate(cos(b*x+a)^5*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, \sin\left(b x + a\right)^{8} - 8 \, \sin\left(b x + a\right)^{6} + 6 \, \sin\left(b x + a\right)^{4}}{24 \, b}"," ",0,"1/24*(3*sin(b*x + a)^8 - 8*sin(b*x + a)^6 + 6*sin(b*x + a)^4)/b","A",0
67,1,26,0,0.313964," ","integrate(cos(b*x+a)^4*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{5 \, \cos\left(b x + a\right)^{7} - 7 \, \cos\left(b x + a\right)^{5}}{35 \, b}"," ",0,"1/35*(5*cos(b*x + a)^7 - 7*cos(b*x + a)^5)/b","A",0
68,1,26,0,0.335753," ","integrate(cos(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""maxima"")","-\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
69,1,26,0,0.320638," ","integrate(cos(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{3 \, \cos\left(b x + a\right)^{5} - 5 \, \cos\left(b x + a\right)^{3}}{15 \, b}"," ",0,"1/15*(3*cos(b*x + a)^5 - 5*cos(b*x + a)^3)/b","A",0
70,1,13,0,0.315033," ","integrate(cos(b*x+a)*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{4}}{4 \, b}"," ",0,"1/4*sin(b*x + a)^4/b","A",0
71,1,25,0,0.311305," ","integrate(sec(b*x+a)*sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\sin\left(b x + a\right)^{2} + \log\left(\sin\left(b x + a\right)^{2} - 1\right)}{2 \, b}"," ",0,"-1/2*(sin(b*x + a)^2 + log(sin(b*x + a)^2 - 1))/b","A",0
72,1,19,0,0.319923," ","integrate(sec(b*x+a)^2*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{1}{\cos\left(b x + a\right)} + \cos\left(b x + a\right)}{b}"," ",0,"(1/cos(b*x + a) + cos(b*x + a))/b","A",0
73,1,31,0,0.317852," ","integrate(sec(b*x+a)^3*sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{1}{\sin\left(b x + a\right)^{2} - 1} - \log\left(\sin\left(b x + a\right)^{2} - 1\right)}{2 \, b}"," ",0,"-1/2*(1/(sin(b*x + a)^2 - 1) - log(sin(b*x + a)^2 - 1))/b","A",0
74,1,25,0,0.398873," ","integrate(sec(b*x+a)^4*sin(b*x+a)^3,x, algorithm=""maxima"")","-\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
75,1,39,0,0.316416," ","integrate(sec(b*x+a)^5*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, \sin\left(b x + a\right)^{2} - 1}{4 \, {\left(\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2} + 1\right)} b}"," ",0,"1/4*(2*sin(b*x + a)^2 - 1)/((sin(b*x + a)^4 - 2*sin(b*x + a)^2 + 1)*b)","B",0
76,1,25,0,0.329944," ","integrate(sec(b*x+a)^6*sin(b*x+a)^3,x, algorithm=""maxima"")","-\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
77,1,49,0,0.336696," ","integrate(sec(b*x+a)^7*sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{3 \, \sin\left(b x + a\right)^{2} - 1}{12 \, {\left(\sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4} + 3 \, \sin\left(b x + a\right)^{2} - 1\right)} b}"," ",0,"-1/12*(3*sin(b*x + a)^2 - 1)/((sin(b*x + a)^6 - 3*sin(b*x + a)^4 + 3*sin(b*x + a)^2 - 1)*b)","A",0
78,1,25,0,0.324102," ","integrate(sec(b*x+a)^8*sin(b*x+a)^3,x, algorithm=""maxima"")","-\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
79,1,59,0,0.315826," ","integrate(sec(b*x+a)^9*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{4 \, \sin\left(b x + a\right)^{2} - 1}{24 \, {\left(\sin\left(b x + a\right)^{8} - 4 \, \sin\left(b x + a\right)^{6} + 6 \, \sin\left(b x + a\right)^{4} - 4 \, \sin\left(b x + a\right)^{2} + 1\right)} b}"," ",0,"1/24*(4*sin(b*x + a)^2 - 1)/((sin(b*x + a)^8 - 4*sin(b*x + a)^6 + 6*sin(b*x + a)^4 - 4*sin(b*x + a)^2 + 1)*b)","B",0
80,1,46,0,0.321780," ","integrate(cos(b*x+a)^7*sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{105 \, \sin\left(b x + a\right)^{11} - 385 \, \sin\left(b x + a\right)^{9} + 495 \, \sin\left(b x + a\right)^{7} - 231 \, \sin\left(b x + a\right)^{5}}{1155 \, b}"," ",0,"-1/1155*(105*sin(b*x + a)^11 - 385*sin(b*x + a)^9 + 495*sin(b*x + a)^7 - 231*sin(b*x + a)^5)/b","A",0
81,1,36,0,0.368412," ","integrate(cos(b*x+a)^5*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{35 \, \sin\left(b x + a\right)^{9} - 90 \, \sin\left(b x + a\right)^{7} + 63 \, \sin\left(b x + a\right)^{5}}{315 \, b}"," ",0,"1/315*(35*sin(b*x + a)^9 - 90*sin(b*x + a)^7 + 63*sin(b*x + a)^5)/b","A",0
82,1,26,0,0.316389," ","integrate(cos(b*x+a)^3*sin(b*x+a)^4,x, algorithm=""maxima"")","-\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
83,1,13,0,0.355363," ","integrate(cos(b*x+a)*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{5}}{5 \, b}"," ",0,"1/5*sin(b*x + a)^5/b","A",0
84,1,41,0,0.429996," ","integrate(sec(b*x+a)^2*sin(b*x+a)^4,x, algorithm=""maxima"")","-\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
85,1,29,0,0.421962," ","integrate(sec(b*x+a)^4*sin(b*x+a)^4,x, algorithm=""maxima"")","\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
86,1,13,0,0.319971," ","integrate(sec(b*x+a)^6*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{\tan\left(b x + a\right)^{5}}{5 \, b}"," ",0,"1/5*tan(b*x + a)^5/b","A",0
87,1,26,0,0.321880," ","integrate(sec(b*x+a)^8*sin(b*x+a)^4,x, algorithm=""maxima"")","\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
88,1,36,0,0.454274," ","integrate(sec(b*x+a)^10*sin(b*x+a)^4,x, algorithm=""maxima"")","\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
89,1,48,0,0.692235," ","integrate(cos(b*x+a)^6*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{32 \, \sin\left(2 \, b x + 2 \, a\right)^{5} + 120 \, b x + 120 \, a + 5 \, \sin\left(8 \, b x + 8 \, a\right) - 40 \, \sin\left(4 \, b x + 4 \, a\right)}{10240 \, b}"," ",0,"1/10240*(32*sin(2*b*x + 2*a)^5 + 120*b*x + 120*a + 5*sin(8*b*x + 8*a) - 40*sin(4*b*x + 4*a))/b","A",0
90,1,33,0,0.400726," ","integrate(cos(b*x+a)^4*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{24 \, b x + 24 \, a + \sin\left(8 \, b x + 8 \, a\right) - 8 \, \sin\left(4 \, b x + 4 \, a\right)}{1024 \, b}"," ",0,"1/1024*(24*b*x + 24*a + sin(8*b*x + 8*a) - 8*sin(4*b*x + 4*a))/b","A",0
91,1,37,0,0.455717," ","integrate(cos(b*x+a)^2*sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{4 \, \sin\left(2 \, b x + 2 \, a\right)^{3} - 12 \, b x - 12 \, a + 3 \, \sin\left(4 \, b x + 4 \, a\right)}{192 \, b}"," ",0,"-1/192*(4*sin(2*b*x + 2*a)^3 - 12*b*x - 12*a + 3*sin(4*b*x + 4*a))/b","A",0
92,1,33,0,0.329720," ","integrate(sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{12 \, b x + 12 \, a + \sin\left(4 \, b x + 4 \, a\right) - 8 \, \sin\left(2 \, b x + 2 \, a\right)}{32 \, b}"," ",0,"1/32*(12*b*x + 12*a + sin(4*b*x + 4*a) - 8*sin(2*b*x + 2*a))/b","A",0
93,1,46,0,0.580607," ","integrate(sec(b*x+a)*sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{2 \, \sin\left(b x + a\right)^{3} - 3 \, \log\left(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\right) + 6 \, \sin\left(b x + a\right)}{6 \, b}"," ",0,"-1/6*(2*sin(b*x + a)^3 - 3*log(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1) + 6*sin(b*x + a))/b","A",0
94,1,56,0,0.402589," ","integrate(sec(b*x+a)^3*sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\frac{2 \, \sin\left(b x + a\right)}{\sin\left(b x + a\right)^{2} - 1} + 3 \, \log\left(\sin\left(b x + a\right) + 1\right) - 3 \, \log\left(\sin\left(b x + a\right) - 1\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(sin(b*x + a) + 1) - 3*log(sin(b*x + a) - 1) - 4*sin(b*x + a))/b","A",0
95,1,71,0,0.510575," ","integrate(sec(b*x+a)^5*sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(5 \, \sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)\right)}}{\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2} + 1} + 3 \, \log\left(\sin\left(b x + a\right) + 1\right) - 3 \, \log\left(\sin\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"1/16*(2*(5*sin(b*x + a)^3 - 3*sin(b*x + a))/(sin(b*x + a)^4 - 2*sin(b*x + a)^2 + 1) + 3*log(sin(b*x + a) + 1) - 3*log(sin(b*x + a) - 1))/b","A",0
96,1,91,0,0.531840," ","integrate(sec(b*x+a)^7*sin(b*x+a)^4,x, algorithm=""maxima"")","-\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)}}{\sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4} + 3 \, \sin\left(b x + a\right)^{2} - 1} - 3 \, \log\left(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\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)^6 - 3*sin(b*x + a)^4 + 3*sin(b*x + a)^2 - 1) - 3*log(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1))/b","A",0
97,1,111,0,0.399692," ","integrate(sec(b*x+a)^9*sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{7} - 11 \, \sin\left(b x + a\right)^{5} - 11 \, \sin\left(b x + a\right)^{3} + 3 \, \sin\left(b x + a\right)\right)}}{\sin\left(b x + a\right)^{8} - 4 \, \sin\left(b x + a\right)^{6} + 6 \, \sin\left(b x + a\right)^{4} - 4 \, \sin\left(b x + a\right)^{2} + 1} - 3 \, \log\left(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\right)}{256 \, b}"," ",0,"-1/256*(2*(3*sin(b*x + a)^7 - 11*sin(b*x + a)^5 - 11*sin(b*x + a)^3 + 3*sin(b*x + a))/(sin(b*x + a)^8 - 4*sin(b*x + a)^6 + 6*sin(b*x + a)^4 - 4*sin(b*x + a)^2 + 1) - 3*log(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1))/b","A",0
98,1,46,0,0.385897," ","integrate(cos(b*x+a)^7*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{10 \, \sin\left(b x + a\right)^{12} - 36 \, \sin\left(b x + a\right)^{10} + 45 \, \sin\left(b x + a\right)^{8} - 20 \, \sin\left(b x + a\right)^{6}}{120 \, b}"," ",0,"-1/120*(10*sin(b*x + a)^12 - 36*sin(b*x + a)^10 + 45*sin(b*x + a)^8 - 20*sin(b*x + a)^6)/b","A",0
99,1,36,0,0.356698," ","integrate(cos(b*x+a)^6*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{63 \, \cos\left(b x + a\right)^{11} - 154 \, \cos\left(b x + a\right)^{9} + 99 \, \cos\left(b x + a\right)^{7}}{693 \, b}"," ",0,"-1/693*(63*cos(b*x + a)^11 - 154*cos(b*x + a)^9 + 99*cos(b*x + a)^7)/b","A",0
100,1,36,0,0.306326," ","integrate(cos(b*x+a)^5*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{6 \, \sin\left(b x + a\right)^{10} - 15 \, \sin\left(b x + a\right)^{8} + 10 \, \sin\left(b x + a\right)^{6}}{60 \, b}"," ",0,"1/60*(6*sin(b*x + a)^10 - 15*sin(b*x + a)^8 + 10*sin(b*x + a)^6)/b","A",0
101,1,36,0,0.355315," ","integrate(cos(b*x+a)^4*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{35 \, \cos\left(b x + a\right)^{9} - 90 \, \cos\left(b x + a\right)^{7} + 63 \, \cos\left(b x + a\right)^{5}}{315 \, b}"," ",0,"-1/315*(35*cos(b*x + a)^9 - 90*cos(b*x + a)^7 + 63*cos(b*x + a)^5)/b","A",0
102,1,26,0,0.376091," ","integrate(cos(b*x+a)^3*sin(b*x+a)^5,x, algorithm=""maxima"")","-\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
103,1,36,0,0.439512," ","integrate(cos(b*x+a)^2*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{15 \, \cos\left(b x + a\right)^{7} - 42 \, \cos\left(b x + a\right)^{5} + 35 \, \cos\left(b x + a\right)^{3}}{105 \, b}"," ",0,"-1/105*(15*cos(b*x + a)^7 - 42*cos(b*x + a)^5 + 35*cos(b*x + a)^3)/b","A",0
104,1,13,0,0.330702," ","integrate(cos(b*x+a)*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{6}}{6 \, b}"," ",0,"1/6*sin(b*x + a)^6/b","A",0
105,1,37,0,0.365743," ","integrate(sec(b*x+a)*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\sin\left(b x + a\right)^{4} + 2 \, \sin\left(b x + a\right)^{2} + 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right)}{4 \, b}"," ",0,"-1/4*(sin(b*x + a)^4 + 2*sin(b*x + a)^2 + 2*log(sin(b*x + a)^2 - 1))/b","A",0
106,1,32,0,0.322412," ","integrate(sec(b*x+a)^2*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right)^{3} - \frac{3}{\cos\left(b x + a\right)} - 6 \, \cos\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*(cos(b*x + a)^3 - 3/cos(b*x + a) - 6*cos(b*x + a))/b","A",0
107,1,41,0,0.315518," ","integrate(sec(b*x+a)^3*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{2} - \frac{1}{\sin\left(b x + a\right)^{2} - 1} + 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right)}{2 \, b}"," ",0,"1/2*(sin(b*x + a)^2 - 1/(sin(b*x + a)^2 - 1) + 2*log(sin(b*x + a)^2 - 1))/b","A",0
108,1,35,0,0.320518," ","integrate(sec(b*x+a)^4*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{6 \, \cos\left(b x + a\right)^{2} - 1}{\cos\left(b x + a\right)^{3}} + 3 \, \cos\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*((6*cos(b*x + a)^2 - 1)/cos(b*x + a)^3 + 3*cos(b*x + a))/b","A",0
109,1,54,0,0.670957," ","integrate(sec(b*x+a)^5*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\frac{4 \, \sin\left(b x + a\right)^{2} - 3}{\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2} + 1} - 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right)}{4 \, b}"," ",0,"1/4*((4*sin(b*x + a)^2 - 3)/(sin(b*x + a)^4 - 2*sin(b*x + a)^2 + 1) - 2*log(sin(b*x + a)^2 - 1))/b","A",0
110,1,35,0,0.302485," ","integrate(sec(b*x+a)^6*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{15 \, \cos\left(b x + a\right)^{4} - 10 \, \cos\left(b x + a\right)^{2} + 3}{15 \, b \cos\left(b x + a\right)^{5}}"," ",0,"1/15*(15*cos(b*x + a)^4 - 10*cos(b*x + a)^2 + 3)/(b*cos(b*x + a)^5)","A",0
111,1,59,0,0.370257," ","integrate(sec(b*x+a)^7*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{3 \, \sin\left(b x + a\right)^{4} - 3 \, \sin\left(b x + a\right)^{2} + 1}{6 \, {\left(\sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4} + 3 \, \sin\left(b x + a\right)^{2} - 1\right)} b}"," ",0,"-1/6*(3*sin(b*x + a)^4 - 3*sin(b*x + a)^2 + 1)/((sin(b*x + a)^6 - 3*sin(b*x + a)^4 + 3*sin(b*x + a)^2 - 1)*b)","B",0
112,1,35,0,0.753491," ","integrate(sec(b*x+a)^8*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{35 \, \cos\left(b x + a\right)^{4} - 42 \, \cos\left(b x + a\right)^{2} + 15}{105 \, b \cos\left(b x + a\right)^{7}}"," ",0,"1/105*(35*cos(b*x + a)^4 - 42*cos(b*x + a)^2 + 15)/(b*cos(b*x + a)^7)","A",0
113,1,69,0,0.355066," ","integrate(sec(b*x+a)^9*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{6 \, \sin\left(b x + a\right)^{4} - 4 \, \sin\left(b x + a\right)^{2} + 1}{24 \, {\left(\sin\left(b x + a\right)^{8} - 4 \, \sin\left(b x + a\right)^{6} + 6 \, \sin\left(b x + a\right)^{4} - 4 \, \sin\left(b x + a\right)^{2} + 1\right)} b}"," ",0,"1/24*(6*sin(b*x + a)^4 - 4*sin(b*x + a)^2 + 1)/((sin(b*x + a)^8 - 4*sin(b*x + a)^6 + 6*sin(b*x + a)^4 - 4*sin(b*x + a)^2 + 1)*b)","B",0
114,1,35,0,0.298325," ","integrate(sec(b*x+a)^10*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{63 \, \cos\left(b x + a\right)^{4} - 90 \, \cos\left(b x + a\right)^{2} + 35}{315 \, b \cos\left(b x + a\right)^{9}}"," ",0,"1/315*(63*cos(b*x + a)^4 - 90*cos(b*x + a)^2 + 35)/(b*cos(b*x + a)^9)","A",0
115,1,79,0,0.331392," ","integrate(sec(b*x+a)^11*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{10 \, \sin\left(b x + a\right)^{4} - 5 \, \sin\left(b x + a\right)^{2} + 1}{60 \, {\left(\sin\left(b x + a\right)^{10} - 5 \, \sin\left(b x + a\right)^{8} + 10 \, \sin\left(b x + a\right)^{6} - 10 \, \sin\left(b x + a\right)^{4} + 5 \, \sin\left(b x + a\right)^{2} - 1\right)} b}"," ",0,"-1/60*(10*sin(b*x + a)^4 - 5*sin(b*x + a)^2 + 1)/((sin(b*x + a)^10 - 5*sin(b*x + a)^8 + 10*sin(b*x + a)^6 - 10*sin(b*x + a)^4 + 5*sin(b*x + a)^2 - 1)*b)","A",0
116,1,35,0,0.452168," ","integrate(sec(b*x+a)^12*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{99 \, \cos\left(b x + a\right)^{4} - 154 \, \cos\left(b x + a\right)^{2} + 63}{693 \, b \cos\left(b x + a\right)^{11}}"," ",0,"1/693*(99*cos(b*x + a)^4 - 154*cos(b*x + a)^2 + 63)/(b*cos(b*x + a)^11)","A",0
117,1,89,0,0.386338," ","integrate(sec(b*x+a)^13*sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{15 \, \sin\left(b x + a\right)^{4} - 6 \, \sin\left(b x + a\right)^{2} + 1}{120 \, {\left(\sin\left(b x + a\right)^{12} - 6 \, \sin\left(b x + a\right)^{10} + 15 \, \sin\left(b x + a\right)^{8} - 20 \, \sin\left(b x + a\right)^{6} + 15 \, \sin\left(b x + a\right)^{4} - 6 \, \sin\left(b x + a\right)^{2} + 1\right)} b}"," ",0,"1/120*(15*sin(b*x + a)^4 - 6*sin(b*x + a)^2 + 1)/((sin(b*x + a)^12 - 6*sin(b*x + a)^10 + 15*sin(b*x + a)^8 - 20*sin(b*x + a)^6 + 15*sin(b*x + a)^4 - 6*sin(b*x + a)^2 + 1)*b)","B",0
118,1,66,0,0.480404," ","integrate(sec(b*x+a)^3*sin(b*x+a)^6,x, algorithm=""maxima"")","\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(\sin\left(b x + a\right) + 1\right) + 15 \, \log\left(\sin\left(b x + a\right) - 1\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(sin(b*x + a) + 1) + 15*log(sin(b*x + a) - 1) + 24*sin(b*x + a))/b","A",0
119,1,45,0,0.401091," ","integrate(sec(b*x+a)^6*sin(b*x+a)^7,x, algorithm=""maxima"")","\frac{\frac{15 \, \cos\left(b x + a\right)^{4} - 5 \, \cos\left(b x + a\right)^{2} + 1}{\cos\left(b x + a\right)^{5}} + 5 \, \cos\left(b x + a\right)}{5 \, b}"," ",0,"1/5*((15*cos(b*x + a)^4 - 5*cos(b*x + a)^2 + 1)/cos(b*x + a)^5 + 5*cos(b*x + a))/b","A",0
120,1,56,0,0.317346," ","integrate(cos(b*x+a)^6/sin(b*x+a),x, algorithm=""maxima"")","\frac{6 \, \cos\left(b x + a\right)^{5} + 10 \, \cos\left(b x + a\right)^{3} + 30 \, \cos\left(b x + a\right) - 15 \, \log\left(\cos\left(b x + a\right) + 1\right) + 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{30 \, b}"," ",0,"1/30*(6*cos(b*x + a)^5 + 10*cos(b*x + a)^3 + 30*cos(b*x + a) - 15*log(cos(b*x + a) + 1) + 15*log(cos(b*x + a) - 1))/b","A",0
121,1,35,0,0.401165," ","integrate(cos(b*x+a)^5/sin(b*x+a),x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{4} - 4 \, \sin\left(b x + a\right)^{2} + 2 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"1/4*(sin(b*x + a)^4 - 4*sin(b*x + a)^2 + 2*log(sin(b*x + a)^2))/b","A",0
122,1,46,0,0.436355," ","integrate(cos(b*x+a)^4/sin(b*x+a),x, algorithm=""maxima"")","\frac{2 \, \cos\left(b x + a\right)^{3} + 6 \, \cos\left(b x + a\right) - 3 \, \log\left(\cos\left(b x + a\right) + 1\right) + 3 \, \log\left(\cos\left(b x + a\right) - 1\right)}{6 \, b}"," ",0,"1/6*(2*cos(b*x + a)^3 + 6*cos(b*x + a) - 3*log(cos(b*x + a) + 1) + 3*log(cos(b*x + a) - 1))/b","A",0
123,1,25,0,0.539766," ","integrate(cos(b*x+a)^3/sin(b*x+a),x, algorithm=""maxima"")","-\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
124,1,34,0,0.360069," ","integrate(cos(b*x+a)^2/sin(b*x+a),x, algorithm=""maxima"")","\frac{2 \, \cos\left(b x + a\right) - \log\left(\cos\left(b x + a\right) + 1\right) + \log\left(\cos\left(b x + a\right) - 1\right)}{2 \, b}"," ",0,"1/2*(2*cos(b*x + a) - log(cos(b*x + a) + 1) + log(cos(b*x + a) - 1))/b","A",0
125,1,11,0,0.298147," ","integrate(cos(b*x+a)/sin(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(\sin\left(b x + a\right)\right)}{b}"," ",0,"log(sin(b*x + a))/b","A",0
126,1,28,0,0.378676," ","integrate(sec(b*x+a)/sin(b*x+a),x, algorithm=""maxima"")","-\frac{\log\left(\sin\left(b x + a\right)^{2} - 1\right) - \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(log(sin(b*x + a)^2 - 1) - log(sin(b*x + a)^2))/b","B",0
127,1,36,0,0.308069," ","integrate(sec(b*x+a)^2/sin(b*x+a),x, algorithm=""maxima"")","\frac{\frac{2}{\cos\left(b x + a\right)} - \log\left(\cos\left(b x + a\right) + 1\right) + \log\left(\cos\left(b x + a\right) - 1\right)}{2 \, b}"," ",0,"1/2*(2/cos(b*x + a) - log(cos(b*x + a) + 1) + log(cos(b*x + a) - 1))/b","A",0
128,1,40,0,0.476851," ","integrate(sec(b*x+a)^3/sin(b*x+a),x, algorithm=""maxima"")","-\frac{\frac{1}{\sin\left(b x + a\right)^{2} - 1} + \log\left(\sin\left(b x + a\right)^{2} - 1\right) - \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(1/(sin(b*x + a)^2 - 1) + log(sin(b*x + a)^2 - 1) - log(sin(b*x + a)^2))/b","A",0
129,1,50,0,0.310492," ","integrate(sec(b*x+a)^4/sin(b*x+a),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(3 \, \cos\left(b x + a\right)^{2} + 1\right)}}{\cos\left(b x + a\right)^{3}} - 3 \, \log\left(\cos\left(b x + a\right) + 1\right) + 3 \, \log\left(\cos\left(b x + a\right) - 1\right)}{6 \, b}"," ",0,"1/6*(2*(3*cos(b*x + a)^2 + 1)/cos(b*x + a)^3 - 3*log(cos(b*x + a) + 1) + 3*log(cos(b*x + a) - 1))/b","A",0
130,1,65,0,0.553181," ","integrate(sec(b*x+a)^5/sin(b*x+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sin\left(b x + a\right)^{2} - 3}{\sin\left(b x + a\right)^{4} - 2 \, \sin\left(b x + a\right)^{2} + 1} + 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 2 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*((2*sin(b*x + a)^2 - 3)/(sin(b*x + a)^4 - 2*sin(b*x + a)^2 + 1) + 2*log(sin(b*x + a)^2 - 1) - 2*log(sin(b*x + a)^2))/b","A",0
131,1,60,0,0.459134," ","integrate(sec(b*x+a)^6/sin(b*x+a),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(15 \, \cos\left(b x + a\right)^{4} + 5 \, \cos\left(b x + a\right)^{2} + 3\right)}}{\cos\left(b x + a\right)^{5}} - 15 \, \log\left(\cos\left(b x + a\right) + 1\right) + 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{30 \, b}"," ",0,"1/30*(2*(15*cos(b*x + a)^4 + 5*cos(b*x + a)^2 + 3)/cos(b*x + a)^5 - 15*log(cos(b*x + a) + 1) + 15*log(cos(b*x + a) - 1))/b","A",0
132,1,85,0,0.400268," ","integrate(sec(b*x+a)^7/sin(b*x+a),x, algorithm=""maxima"")","-\frac{\frac{6 \, \sin\left(b x + a\right)^{4} - 15 \, \sin\left(b x + a\right)^{2} + 11}{\sin\left(b x + a\right)^{6} - 3 \, \sin\left(b x + a\right)^{4} + 3 \, \sin\left(b x + a\right)^{2} - 1} + 6 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 6 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{12 \, b}"," ",0,"-1/12*((6*sin(b*x + a)^4 - 15*sin(b*x + a)^2 + 11)/(sin(b*x + a)^6 - 3*sin(b*x + a)^4 + 3*sin(b*x + a)^2 - 1) + 6*log(sin(b*x + a)^2 - 1) - 6*log(sin(b*x + a)^2))/b","A",0
133,1,42,0,0.383966," ","integrate(cos(b*x+a)^7/sin(b*x+a)^2,x, algorithm=""maxima"")","-\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
134,1,63,0,0.585265," ","integrate(cos(b*x+a)^6/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{15 \, b x + 15 \, a + \frac{15 \, \tan\left(b x + a\right)^{4} + 25 \, \tan\left(b x + a\right)^{2} + 8}{\tan\left(b x + a\right)^{5} + 2 \, \tan\left(b x + a\right)^{3} + \tan\left(b x + a\right)}}{8 \, b}"," ",0,"-1/8*(15*b*x + 15*a + (15*tan(b*x + a)^4 + 25*tan(b*x + a)^2 + 8)/(tan(b*x + a)^5 + 2*tan(b*x + a)^3 + tan(b*x + a)))/b","A",0
135,1,32,0,0.369400," ","integrate(cos(b*x+a)^5/sin(b*x+a)^2,x, algorithm=""maxima"")","\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
136,1,43,0,0.848747," ","integrate(cos(b*x+a)^4/sin(b*x+a)^2,x, algorithm=""maxima"")","-\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
137,1,20,0,0.389608," ","integrate(cos(b*x+a)^3/sin(b*x+a)^2,x, algorithm=""maxima"")","-\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
138,1,18,0,0.634126," ","integrate(cos(b*x+a)^2/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{b x + a + \frac{1}{\tan\left(b x + a\right)}}{b}"," ",0,"-(b*x + a + 1/tan(b*x + a))/b","A",0
139,1,13,0,0.440183," ","integrate(cos(b*x+a)/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{b \sin\left(b x + a\right)}"," ",0,"-1/(b*sin(b*x + a))","A",0
140,1,36,0,0.411808," ","integrate(sec(b*x+a)/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\frac{2}{\sin\left(b x + a\right)} - \log\left(\sin\left(b x + a\right) + 1\right) + \log\left(\sin\left(b x + a\right) - 1\right)}{2 \, b}"," ",0,"-1/2*(2/sin(b*x + a) - log(sin(b*x + a) + 1) + log(sin(b*x + a) - 1))/b","A",0
141,1,22,0,0.492472," ","integrate(sec(b*x+a)^2/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\frac{1}{\tan\left(b x + a\right)} - \tan\left(b x + a\right)}{b}"," ",0,"-(1/tan(b*x + a) - tan(b*x + a))/b","A",0
142,1,61,0,0.417629," ","integrate(sec(b*x+a)^3/sin(b*x+a)^2,x, algorithm=""maxima"")","-\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(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\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(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1))/b","A",0
143,1,32,0,0.472392," ","integrate(sec(b*x+a)^4/sin(b*x+a)^2,x, algorithm=""maxima"")","\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
144,1,79,0,0.441148," ","integrate(sec(b*x+a)^5/sin(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(15 \, \sin\left(b x + a\right)^{4} - 25 \, \sin\left(b x + a\right)^{2} + 8\right)}}{\sin\left(b x + a\right)^{5} - 2 \, \sin\left(b x + a\right)^{3} + \sin\left(b x + a\right)} - 15 \, \log\left(\sin\left(b x + a\right) + 1\right) + 15 \, \log\left(\sin\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"-1/16*(2*(15*sin(b*x + a)^4 - 25*sin(b*x + a)^2 + 8)/(sin(b*x + a)^5 - 2*sin(b*x + a)^3 + sin(b*x + a)) - 15*log(sin(b*x + a) + 1) + 15*log(sin(b*x + a) - 1))/b","A",0
145,1,45,0,0.525470," ","integrate(cos(b*x+a)^7/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\sin\left(b x + a\right)^{4} - 6 \, \sin\left(b x + a\right)^{2} + \frac{2}{\sin\left(b x + a\right)^{2}} + 6 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*(sin(b*x + a)^4 - 6*sin(b*x + a)^2 + 2/sin(b*x + a)^2 + 6*log(sin(b*x + a)^2))/b","A",0
146,1,66,0,0.468728," ","integrate(cos(b*x+a)^6/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{4 \, \cos\left(b x + a\right)^{3} - \frac{6 \, \cos\left(b x + a\right)}{\cos\left(b x + a\right)^{2} - 1} + 24 \, \cos\left(b x + a\right) - 15 \, \log\left(\cos\left(b x + a\right) + 1\right) + 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{12 \, b}"," ",0,"-1/12*(4*cos(b*x + a)^3 - 6*cos(b*x + a)/(cos(b*x + a)^2 - 1) + 24*cos(b*x + a) - 15*log(cos(b*x + a) + 1) + 15*log(cos(b*x + a) - 1))/b","A",0
147,1,35,0,0.535543," ","integrate(cos(b*x+a)^5/sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{2} - \frac{1}{\sin\left(b x + a\right)^{2}} - 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 - 2*log(sin(b*x + a)^2))/b","A",0
148,1,56,0,0.327185," ","integrate(cos(b*x+a)^4/sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{2 \, \cos\left(b x + a\right)}{\cos\left(b x + a\right)^{2} - 1} - 4 \, \cos\left(b x + a\right) + 3 \, \log\left(\cos\left(b x + a\right) + 1\right) - 3 \, \log\left(\cos\left(b x + a\right) - 1\right)}{4 \, b}"," ",0,"1/4*(2*cos(b*x + a)/(cos(b*x + a)^2 - 1) - 4*cos(b*x + a) + 3*log(cos(b*x + a) + 1) - 3*log(cos(b*x + a) - 1))/b","A",0
149,1,23,0,0.389254," ","integrate(cos(b*x+a)^3/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{1}{\sin\left(b x + a\right)^{2}} + \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(1/sin(b*x + a)^2 + log(sin(b*x + a)^2))/b","A",0
150,1,46,0,0.580634," ","integrate(cos(b*x+a)^2/sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{2 \, \cos\left(b x + a\right)}{\cos\left(b x + a\right)^{2} - 1} + \log\left(\cos\left(b x + a\right) + 1\right) - \log\left(\cos\left(b x + a\right) - 1\right)}{4 \, b}"," ",0,"1/4*(2*cos(b*x + a)/(cos(b*x + a)^2 - 1) + log(cos(b*x + a) + 1) - log(cos(b*x + a) - 1))/b","A",0
151,1,13,0,0.632507," ","integrate(cos(b*x+a)/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, b \sin\left(b x + a\right)^{2}}"," ",0,"-1/2/(b*sin(b*x + a)^2)","A",0
152,1,36,0,0.352293," ","integrate(sec(b*x+a)/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{1}{\sin\left(b x + a\right)^{2}} + \log\left(\sin\left(b x + a\right)^{2} - 1\right) - \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*(1/sin(b*x + a)^2 + log(sin(b*x + a)^2 - 1) - log(sin(b*x + a)^2))/b","A",0
153,1,61,0,0.293873," ","integrate(sec(b*x+a)^2/sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(3 \, \cos\left(b x + a\right)^{2} - 2\right)}}{\cos\left(b x + a\right)^{3} - \cos\left(b x + a\right)} - 3 \, \log\left(\cos\left(b x + a\right) + 1\right) + 3 \, \log\left(\cos\left(b x + a\right) - 1\right)}{4 \, b}"," ",0,"1/4*(2*(3*cos(b*x + a)^2 - 2)/(cos(b*x + a)^3 - cos(b*x + a)) - 3*log(cos(b*x + a) + 1) + 3*log(cos(b*x + a) - 1))/b","A",0
154,1,64,0,0.303545," ","integrate(sec(b*x+a)^3/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{2 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{4} - \sin\left(b x + a\right)^{2}} + 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 2 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{2 \, b}"," ",0,"-1/2*((2*sin(b*x + a)^2 - 1)/(sin(b*x + a)^4 - sin(b*x + a)^2) + 2*log(sin(b*x + a)^2 - 1) - 2*log(sin(b*x + a)^2))/b","A",0
155,1,73,0,0.294955," ","integrate(sec(b*x+a)^4/sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(15 \, \cos\left(b x + a\right)^{4} - 10 \, \cos\left(b x + a\right)^{2} - 2\right)}}{\cos\left(b x + a\right)^{5} - \cos\left(b x + a\right)^{3}} - 15 \, \log\left(\cos\left(b x + a\right) + 1\right) + 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{12 \, b}"," ",0,"1/12*(2*(15*cos(b*x + a)^4 - 10*cos(b*x + a)^2 - 2)/(cos(b*x + a)^5 - cos(b*x + a)^3) - 15*log(cos(b*x + a) + 1) + 15*log(cos(b*x + a) - 1))/b","A",0
156,1,82,0,0.298420," ","integrate(sec(b*x+a)^5/sin(b*x+a)^3,x, algorithm=""maxima"")","-\frac{\frac{6 \, \sin\left(b x + a\right)^{4} - 9 \, \sin\left(b x + a\right)^{2} + 2}{\sin\left(b x + a\right)^{6} - 2 \, \sin\left(b x + a\right)^{4} + \sin\left(b x + a\right)^{2}} + 6 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 6 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*((6*sin(b*x + a)^4 - 9*sin(b*x + a)^2 + 2)/(sin(b*x + a)^6 - 2*sin(b*x + a)^4 + sin(b*x + a)^2) + 6*log(sin(b*x + a)^2 - 1) - 6*log(sin(b*x + a)^2))/b","A",0
157,1,56,0,0.358792," ","integrate(cos(b*x+a)^9/sin(b*x+a)^4,x, algorithm=""maxima"")","\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
158,1,75,0,0.457793," ","integrate(cos(b*x+a)^8/sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{105 \, b x + 105 \, a + \frac{105 \, \tan\left(b x + a\right)^{6} + 175 \, \tan\left(b x + a\right)^{4} + 56 \, \tan\left(b x + a\right)^{2} - 8}{\tan\left(b x + a\right)^{7} + 2 \, \tan\left(b x + a\right)^{5} + \tan\left(b x + a\right)^{3}}}{24 \, b}"," ",0,"1/24*(105*b*x + 105*a + (105*tan(b*x + a)^6 + 175*tan(b*x + a)^4 + 56*tan(b*x + a)^2 - 8)/(tan(b*x + a)^7 + 2*tan(b*x + a)^5 + tan(b*x + a)^3))/b","A",0
159,1,44,0,0.322920," ","integrate(cos(b*x+a)^7/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\sin\left(b x + a\right)^{3} - \frac{9 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{3}} - 9 \, \sin\left(b x + a\right)}{3 \, b}"," ",0,"-1/3*(sin(b*x + a)^3 - (9*sin(b*x + a)^2 - 1)/sin(b*x + a)^3 - 9*sin(b*x + a))/b","A",0
160,1,55,0,0.430421," ","integrate(cos(b*x+a)^6/sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{15 \, b x + 15 \, a + \frac{15 \, \tan\left(b x + a\right)^{4} + 10 \, \tan\left(b x + a\right)^{2} - 2}{\tan\left(b x + a\right)^{5} + \tan\left(b x + a\right)^{3}}}{6 \, b}"," ",0,"1/6*(15*b*x + 15*a + (15*tan(b*x + a)^4 + 10*tan(b*x + a)^2 - 2)/(tan(b*x + a)^5 + tan(b*x + a)^3))/b","A",0
161,1,35,0,0.424434," ","integrate(cos(b*x+a)^5/sin(b*x+a)^4,x, algorithm=""maxima"")","\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
162,1,34,0,0.429913," ","integrate(cos(b*x+a)^4/sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{3 \, b x + 3 \, a + \frac{3 \, \tan\left(b x + a\right)^{2} - 1}{\tan\left(b x + a\right)^{3}}}{3 \, b}"," ",0,"1/3*(3*b*x + 3*a + (3*tan(b*x + a)^2 - 1)/tan(b*x + a)^3)/b","A",0
163,1,25,0,0.300097," ","integrate(cos(b*x+a)^3/sin(b*x+a)^4,x, algorithm=""maxima"")","\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
164,1,13,0,0.434826," ","integrate(cos(b*x+a)^2/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{1}{3 \, b \tan\left(b x + a\right)^{3}}"," ",0,"-1/3/(b*tan(b*x + a)^3)","A",0
165,1,13,0,0.319399," ","integrate(cos(b*x+a)/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{1}{3 \, b \sin\left(b x + a\right)^{3}}"," ",0,"-1/3/(b*sin(b*x + a)^3)","A",0
166,1,50,0,0.355688," ","integrate(sec(b*x+a)/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(3 \, \sin\left(b x + a\right)^{2} + 1\right)}}{\sin\left(b x + a\right)^{3}} - 3 \, \log\left(\sin\left(b x + a\right) + 1\right) + 3 \, \log\left(\sin\left(b x + a\right) - 1\right)}{6 \, b}"," ",0,"-1/6*(2*(3*sin(b*x + a)^2 + 1)/sin(b*x + a)^3 - 3*log(sin(b*x + a) + 1) + 3*log(sin(b*x + a) - 1))/b","A",0
167,1,35,0,0.532263," ","integrate(sec(b*x+a)^2/sin(b*x+a)^4,x, algorithm=""maxima"")","-\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
168,1,73,0,0.311665," ","integrate(sec(b*x+a)^3/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(15 \, \sin\left(b x + a\right)^{4} - 10 \, \sin\left(b x + a\right)^{2} - 2\right)}}{\sin\left(b x + a\right)^{5} - \sin\left(b x + a\right)^{3}} - 15 \, \log\left(\sin\left(b x + a\right) + 1\right) + 15 \, \log\left(\sin\left(b x + a\right) - 1\right)}{12 \, b}"," ",0,"-1/12*(2*(15*sin(b*x + a)^4 - 10*sin(b*x + a)^2 - 2)/(sin(b*x + a)^5 - sin(b*x + a)^3) - 15*log(sin(b*x + a) + 1) + 15*log(sin(b*x + a) - 1))/b","A",0
169,1,44,0,0.321025," ","integrate(sec(b*x+a)^4/sin(b*x+a)^4,x, algorithm=""maxima"")","\frac{\tan\left(b x + a\right)^{3} - \frac{9 \, \tan\left(b x + a\right)^{2} + 1}{\tan\left(b x + a\right)^{3}} + 9 \, \tan\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(tan(b*x + a)^3 - (9*tan(b*x + a)^2 + 1)/tan(b*x + a)^3 + 9*tan(b*x + a))/b","A",0
170,1,91,0,0.351357," ","integrate(sec(b*x+a)^5/sin(b*x+a)^4,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(105 \, \sin\left(b x + a\right)^{6} - 175 \, \sin\left(b x + a\right)^{4} + 56 \, \sin\left(b x + a\right)^{2} + 8\right)}}{\sin\left(b x + a\right)^{7} - 2 \, \sin\left(b x + a\right)^{5} + \sin\left(b x + a\right)^{3}} - 105 \, \log\left(\sin\left(b x + a\right) + 1\right) + 105 \, \log\left(\sin\left(b x + a\right) - 1\right)}{48 \, b}"," ",0,"-1/48*(2*(105*sin(b*x + a)^6 - 175*sin(b*x + a)^4 + 56*sin(b*x + a)^2 + 8)/(sin(b*x + a)^7 - 2*sin(b*x + a)^5 + sin(b*x + a)^3) - 105*log(sin(b*x + a) + 1) + 105*log(sin(b*x + a) - 1))/b","A",0
171,1,56,0,0.447702," ","integrate(cos(b*x+a)^9/sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\sin\left(b x + a\right)^{4} - 8 \, \sin\left(b x + a\right)^{2} + \frac{8 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{4}} + 12 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"1/4*(sin(b*x + a)^4 - 8*sin(b*x + a)^2 + (8*sin(b*x + a)^2 - 1)/sin(b*x + a)^4 + 12*log(sin(b*x + a)^2))/b","A",0
172,1,89,0,0.347109," ","integrate(cos(b*x+a)^8/sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{16 \, \cos\left(b x + a\right)^{3} - \frac{6 \, {\left(13 \, \cos\left(b x + a\right)^{3} - 11 \, \cos\left(b x + a\right)\right)}}{\cos\left(b x + a\right)^{4} - 2 \, \cos\left(b x + a\right)^{2} + 1} + 144 \, \cos\left(b x + a\right) - 105 \, \log\left(\cos\left(b x + a\right) + 1\right) + 105 \, \log\left(\cos\left(b x + a\right) - 1\right)}{48 \, b}"," ",0,"1/48*(16*cos(b*x + a)^3 - 6*(13*cos(b*x + a)^3 - 11*cos(b*x + a))/(cos(b*x + a)^4 - 2*cos(b*x + a)^2 + 1) + 144*cos(b*x + a) - 105*log(cos(b*x + a) + 1) + 105*log(cos(b*x + a) - 1))/b","A",0
173,1,49,0,0.481427," ","integrate(cos(b*x+a)^7/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{2 \, \sin\left(b x + a\right)^{2} - \frac{6 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{4}} - 6 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*(2*sin(b*x + a)^2 - (6*sin(b*x + a)^2 - 1)/sin(b*x + a)^4 - 6*log(sin(b*x + a)^2))/b","A",0
174,1,79,0,0.438322," ","integrate(cos(b*x+a)^6/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(9 \, \cos\left(b x + a\right)^{3} - 7 \, \cos\left(b x + a\right)\right)}}{\cos\left(b x + a\right)^{4} - 2 \, \cos\left(b x + a\right)^{2} + 1} - 16 \, \cos\left(b x + a\right) + 15 \, \log\left(\cos\left(b x + a\right) + 1\right) - 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"-1/16*(2*(9*cos(b*x + a)^3 - 7*cos(b*x + a))/(cos(b*x + a)^4 - 2*cos(b*x + a)^2 + 1) - 16*cos(b*x + a) + 15*log(cos(b*x + a) + 1) - 15*log(cos(b*x + a) - 1))/b","A",0
175,1,38,0,0.346137," ","integrate(cos(b*x+a)^5/sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\frac{4 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{4}} + 2 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"1/4*((4*sin(b*x + a)^2 - 1)/sin(b*x + a)^4 + 2*log(sin(b*x + a)^2))/b","A",0
176,1,71,0,0.352297," ","integrate(cos(b*x+a)^4/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(5 \, \cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)\right)}}{\cos\left(b x + a\right)^{4} - 2 \, \cos\left(b x + a\right)^{2} + 1} + 3 \, \log\left(\cos\left(b x + a\right) + 1\right) - 3 \, \log\left(\cos\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"-1/16*(2*(5*cos(b*x + a)^3 - 3*cos(b*x + a))/(cos(b*x + a)^4 - 2*cos(b*x + a)^2 + 1) + 3*log(cos(b*x + a) + 1) - 3*log(cos(b*x + a) - 1))/b","A",0
177,1,25,0,0.780294," ","integrate(cos(b*x+a)^3/sin(b*x+a)^5,x, algorithm=""maxima"")","\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
178,1,65,0,0.340852," ","integrate(cos(b*x+a)^2/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{2 \, {\left(\cos\left(b x + a\right)^{3} + \cos\left(b x + a\right)\right)}}{\cos\left(b x + a\right)^{4} - 2 \, \cos\left(b x + a\right)^{2} + 1} - \log\left(\cos\left(b x + a\right) + 1\right) + \log\left(\cos\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"-1/16*(2*(cos(b*x + a)^3 + cos(b*x + a))/(cos(b*x + a)^4 - 2*cos(b*x + a)^2 + 1) - log(cos(b*x + a) + 1) + log(cos(b*x + a) - 1))/b","A",0
179,1,13,0,0.374874," ","integrate(cos(b*x+a)/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{1}{4 \, b \sin\left(b x + a\right)^{4}}"," ",0,"-1/4/(b*sin(b*x + a)^4)","A",0
180,1,51,0,0.432096," ","integrate(sec(b*x+a)/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{2 \, \sin\left(b x + a\right)^{2} + 1}{\sin\left(b x + a\right)^{4}} + 2 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 2 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*((2*sin(b*x + a)^2 + 1)/sin(b*x + a)^4 + 2*log(sin(b*x + a)^2 - 1) - 2*log(sin(b*x + a)^2))/b","A",0
181,1,79,0,0.341811," ","integrate(sec(b*x+a)^2/sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(15 \, \cos\left(b x + a\right)^{4} - 25 \, \cos\left(b x + a\right)^{2} + 8\right)}}{\cos\left(b x + a\right)^{5} - 2 \, \cos\left(b x + a\right)^{3} + \cos\left(b x + a\right)} - 15 \, \log\left(\cos\left(b x + a\right) + 1\right) + 15 \, \log\left(\cos\left(b x + a\right) - 1\right)}{16 \, b}"," ",0,"1/16*(2*(15*cos(b*x + a)^4 - 25*cos(b*x + a)^2 + 8)/(cos(b*x + a)^5 - 2*cos(b*x + a)^3 + cos(b*x + a)) - 15*log(cos(b*x + a) + 1) + 15*log(cos(b*x + a) - 1))/b","A",0
182,1,74,0,0.500631," ","integrate(sec(b*x+a)^3/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{6 \, \sin\left(b x + a\right)^{4} - 3 \, \sin\left(b x + a\right)^{2} - 1}{\sin\left(b x + a\right)^{6} - \sin\left(b x + a\right)^{4}} + 6 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 6 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*((6*sin(b*x + a)^4 - 3*sin(b*x + a)^2 - 1)/(sin(b*x + a)^6 - sin(b*x + a)^4) + 6*log(sin(b*x + a)^2 - 1) - 6*log(sin(b*x + a)^2))/b","A",0
183,1,91,0,0.366786," ","integrate(sec(b*x+a)^4/sin(b*x+a)^5,x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(105 \, \cos\left(b x + a\right)^{6} - 175 \, \cos\left(b x + a\right)^{4} + 56 \, \cos\left(b x + a\right)^{2} + 8\right)}}{\cos\left(b x + a\right)^{7} - 2 \, \cos\left(b x + a\right)^{5} + \cos\left(b x + a\right)^{3}} - 105 \, \log\left(\cos\left(b x + a\right) + 1\right) + 105 \, \log\left(\cos\left(b x + a\right) - 1\right)}{48 \, b}"," ",0,"1/48*(2*(105*cos(b*x + a)^6 - 175*cos(b*x + a)^4 + 56*cos(b*x + a)^2 + 8)/(cos(b*x + a)^7 - 2*cos(b*x + a)^5 + cos(b*x + a)^3) - 105*log(cos(b*x + a) + 1) + 105*log(cos(b*x + a) - 1))/b","A",0
184,1,92,0,0.524235," ","integrate(sec(b*x+a)^5/sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{12 \, \sin\left(b x + a\right)^{6} - 18 \, \sin\left(b x + a\right)^{4} + 4 \, \sin\left(b x + a\right)^{2} + 1}{\sin\left(b x + a\right)^{8} - 2 \, \sin\left(b x + a\right)^{6} + \sin\left(b x + a\right)^{4}} + 12 \, \log\left(\sin\left(b x + a\right)^{2} - 1\right) - 12 \, \log\left(\sin\left(b x + a\right)^{2}\right)}{4 \, b}"," ",0,"-1/4*((12*sin(b*x + a)^6 - 18*sin(b*x + a)^4 + 4*sin(b*x + a)^2 + 1)/(sin(b*x + a)^8 - 2*sin(b*x + a)^6 + sin(b*x + a)^4) + 12*log(sin(b*x + a)^2 - 1) - 12*log(sin(b*x + a)^2))/b","A",0
185,1,14,0,0.312138," ","integrate(cos(x)^2/sin(x)^6,x, algorithm=""maxima"")","-\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
186,1,14,0,0.306489," ","integrate(cos(x)^3/sin(x)^7,x, algorithm=""maxima"")","\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
187,1,18,0,0.538083," ","integrate((d*cos(b*x+a))^(3/2)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}{5 \, b d}"," ",0,"-2/5*(d*cos(b*x + a))^(5/2)/(b*d)","A",0
188,1,18,0,0.456844," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a),x, algorithm=""maxima"")","-\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
189,1,18,0,0.402351," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{d \cos\left(b x + a\right)}}{b d}"," ",0,"-2*sqrt(d*cos(b*x + a))/(b*d)","A",0
190,1,18,0,0.525988," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2}{\sqrt{d \cos\left(b x + a\right)} b d}"," ",0,"2/(sqrt(d*cos(b*x + a))*b*d)","A",0
191,1,18,0,0.535238," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2}{3 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} b d}"," ",0,"2/3/((d*cos(b*x + a))^(3/2)*b*d)","A",0
192,1,18,0,0.470873," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","\frac{2}{5 \, \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} b d}"," ",0,"2/5/((d*cos(b*x + a))^(5/2)*b*d)","A",0
193,1,18,0,0.302856," ","integrate(sin(b*x+a)/(d*cos(b*x+a))^(9/2),x, algorithm=""maxima"")","\frac{2}{7 \, \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} b d}"," ",0,"2/7/((d*cos(b*x + a))^(7/2)*b*d)","A",0
194,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*sin(b*x+a)^2,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
204,1,36,0,0.311672," ","integrate((d*cos(b*x+a))^(1/2)*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} - 7 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}\right)}}{21 \, b d^{3}}"," ",0,"2/21*(3*(d*cos(b*x + a))^(7/2) - 7*(d*cos(b*x + a))^(3/2)*d^2)/(b*d^3)","A",0
205,1,36,0,0.412718," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, \sqrt{d \cos\left(b x + a\right)} - \frac{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}{d^{2}}\right)}}{5 \, b d}"," ",0,"-2/5*(5*sqrt(d*cos(b*x + a)) - (d*cos(b*x + a))^(5/2)/d^2)/(b*d)","A",0
206,1,35,0,0.384895," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3}{\sqrt{d \cos\left(b x + a\right)}} + \frac{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}{d^{2}}\right)}}{3 \, b d}"," ",0,"2/3*(3/sqrt(d*cos(b*x + a)) + (d*cos(b*x + a))^(3/2)/d^2)/(b*d)","A",0
207,1,34,0,0.406276," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{1}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}} + \frac{3 \, \sqrt{d \cos\left(b x + a\right)}}{d^{2}}\right)}}{3 \, b d}"," ",0,"2/3*(1/(d*cos(b*x + a))^(3/2) + 3*sqrt(d*cos(b*x + a))/d^2)/(b*d)","A",0
208,1,37,0,0.456080," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, d^{2} \cos\left(b x + a\right)^{2} - d^{2}\right)}}{5 \, \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} b d^{3}}"," ",0,"-2/5*(5*d^2*cos(b*x + a)^2 - d^2)/((d*cos(b*x + a))^(5/2)*b*d^3)","A",0
209,1,37,0,0.302389," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(9/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(7 \, d^{2} \cos\left(b x + a\right)^{2} - 3 \, d^{2}\right)}}{21 \, \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} b d^{3}}"," ",0,"-2/21*(7*d^2*cos(b*x + a)^2 - 3*d^2)/((d*cos(b*x + a))^(7/2)*b*d^3)","A",0
210,1,37,0,0.544344," ","integrate(sin(b*x+a)^3/(d*cos(b*x+a))^(11/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(9 \, d^{2} \cos\left(b x + a\right)^{2} - 5 \, d^{2}\right)}}{45 \, \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} b d^{3}}"," ",0,"-2/45*(9*d^2*cos(b*x + a)^2 - 5*d^2)/((d*cos(b*x + a))^(9/2)*b*d^3)","A",0
211,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*sin(b*x+a)^4,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
221,1,36,0,0.310679," ","integrate(cos(b*x+a)^(3/2)*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(45 \, \cos\left(b x + a\right)^{\frac{13}{2}} - 130 \, \cos\left(b x + a\right)^{\frac{9}{2}} + 117 \, \cos\left(b x + a\right)^{\frac{5}{2}}\right)}}{585 \, b}"," ",0,"-2/585*(45*cos(b*x + a)^(13/2) - 130*cos(b*x + a)^(9/2) + 117*cos(b*x + a)^(5/2))/b","A",0
222,1,98,0,0.433690," ","integrate((d*cos(b*x+a))^(9/2)*csc(b*x+a),x, algorithm=""maxima"")","\frac{42 \, d^{\frac{11}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) + 21 \, d^{\frac{11}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) + 12 \, \left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} d^{2} + 28 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{4}}{42 \, b d}"," ",0,"1/42*(42*d^(11/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) + 21*d^(11/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) + 12*(d*cos(b*x + a))^(7/2)*d^2 + 28*(d*cos(b*x + a))^(3/2)*d^4)/(b*d)","A",0
223,1,98,0,0.432631," ","integrate((d*cos(b*x+a))^(7/2)*csc(b*x+a),x, algorithm=""maxima"")","-\frac{10 \, d^{\frac{9}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - 5 \, d^{\frac{9}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) - 4 \, \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} d^{2} - 20 \, \sqrt{d \cos\left(b x + a\right)} d^{4}}{10 \, b d}"," ",0,"-1/10*(10*d^(9/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - 5*d^(9/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) - 4*(d*cos(b*x + a))^(5/2)*d^2 - 20*sqrt(d*cos(b*x + a))*d^4)/(b*d)","A",0
224,1,83,0,0.602084," ","integrate((d*cos(b*x+a))^(5/2)*csc(b*x+a),x, algorithm=""maxima"")","\frac{6 \, d^{\frac{7}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) + 3 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) + 4 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}}{6 \, b d}"," ",0,"1/6*(6*d^(7/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) + 3*d^(7/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) + 4*(d*cos(b*x + a))^(3/2)*d^2)/(b*d)","A",0
225,1,83,0,0.437659," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a),x, algorithm=""maxima"")","-\frac{2 \, d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - d^{\frac{5}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) - 4 \, \sqrt{d \cos\left(b x + a\right)} d^{2}}{2 \, b d}"," ",0,"-1/2*(2*d^(5/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - d^(5/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) - 4*sqrt(d*cos(b*x + a))*d^2)/(b*d)","A",0
226,1,67,0,0.441697," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a),x, algorithm=""maxima"")","\frac{2 \, d^{\frac{3}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) + d^{\frac{3}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{2 \, b d}"," ",0,"1/2*(2*d^(3/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) + d^(3/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
227,1,68,0,0.415019," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{d} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - \sqrt{d} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{2 \, b d}"," ",0,"-1/2*(2*sqrt(d)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - sqrt(d)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
228,1,79,0,0.552598," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{\frac{2 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{\sqrt{d}} + \frac{\log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{\sqrt{d}} + \frac{4}{\sqrt{d \cos\left(b x + a\right)}}}{2 \, b d}"," ",0,"1/2*(2*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/sqrt(d) + log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/sqrt(d) + 4/sqrt(d*cos(b*x + a)))/(b*d)","A",0
229,1,80,0,0.468971," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{\frac{6 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{d^{\frac{3}{2}}} - \frac{3 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{d^{\frac{3}{2}}} - \frac{4}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}}{6 \, b d}"," ",0,"-1/6*(6*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/d^(3/2) - 3*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/d^(3/2) - 4/(d*cos(b*x + a))^(3/2))/(b*d)","A",0
230,1,100,0,0.468375," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","\frac{\frac{10 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{5 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{4 \, {\left(5 \, d^{2} \cos\left(b x + a\right)^{2} + d^{2}\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} d^{2}}}{10 \, b d}"," ",0,"1/10*(10*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/d^(5/2) + 5*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/d^(5/2) + 4*(5*d^2*cos(b*x + a)^2 + d^2)/((d*cos(b*x + a))^(5/2)*d^2))/(b*d)","A",0
231,1,102,0,0.584924," ","integrate(csc(b*x+a)/(d*cos(b*x+a))^(9/2),x, algorithm=""maxima"")","-\frac{\frac{42 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{d^{\frac{7}{2}}} - \frac{21 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{d^{\frac{7}{2}}} - \frac{4 \, {\left(7 \, d^{2} \cos\left(b x + a\right)^{2} + 3 \, d^{2}\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} d^{2}}}{42 \, b d}"," ",0,"-1/42*(42*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/d^(7/2) - 21*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/d^(7/2) - 4*(7*d^2*cos(b*x + a)^2 + 3*d^2)/((d*cos(b*x + a))^(7/2)*d^2))/(b*d)","A",0
232,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(11/2)*csc(b*x+a)^2,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
242,1,133,0,0.582228," ","integrate((d*cos(b*x+a))^(11/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{20 \, \sqrt{d \cos\left(b x + a\right)} d^{8}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} + 90 \, d^{\frac{13}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - 45 \, d^{\frac{13}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) - 16 \, \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} d^{4} - 160 \, \sqrt{d \cos\left(b x + a\right)} d^{6}}{40 \, b d}"," ",0,"1/40*(20*sqrt(d*cos(b*x + a))*d^8/(d^2*cos(b*x + a)^2 - d^2) + 90*d^(13/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - 45*d^(13/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) - 16*(d*cos(b*x + a))^(5/2)*d^4 - 160*sqrt(d*cos(b*x + a))*d^6)/(b*d)","A",0
243,1,118,0,0.710137," ","integrate((d*cos(b*x+a))^(9/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{12 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{6}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} - 42 \, d^{\frac{11}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - 21 \, d^{\frac{11}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) - 16 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{4}}{24 \, b d}"," ",0,"1/24*(12*(d*cos(b*x + a))^(3/2)*d^6/(d^2*cos(b*x + a)^2 - d^2) - 42*d^(11/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - 21*d^(11/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) - 16*(d*cos(b*x + a))^(3/2)*d^4)/(b*d)","A",0
244,1,118,0,2.311297," ","integrate((d*cos(b*x+a))^(7/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{4 \, \sqrt{d \cos\left(b x + a\right)} d^{6}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} + 10 \, d^{\frac{9}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - 5 \, d^{\frac{9}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right) - 16 \, \sqrt{d \cos\left(b x + a\right)} d^{4}}{8 \, b d}"," ",0,"1/8*(4*sqrt(d*cos(b*x + a))*d^6/(d^2*cos(b*x + a)^2 - d^2) + 10*d^(9/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - 5*d^(9/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))) - 16*sqrt(d*cos(b*x + a))*d^4)/(b*d)","A",0
245,1,103,0,0.698687," ","integrate((d*cos(b*x+a))^(5/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{4 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{4}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} - 6 \, d^{\frac{7}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - 3 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{8 \, b d}"," ",0,"1/8*(4*(d*cos(b*x + a))^(3/2)*d^4/(d^2*cos(b*x + a)^2 - d^2) - 6*d^(7/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - 3*d^(7/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
246,1,103,0,0.626082," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{4 \, \sqrt{d \cos\left(b x + a\right)} d^{4}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} + 2 \, d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) - d^{\frac{5}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{8 \, b d}"," ",0,"1/8*(4*sqrt(d*cos(b*x + a))*d^4/(d^2*cos(b*x + a)^2 - d^2) + 2*d^(5/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) - d^(5/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
247,1,102,0,0.602770," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{4 \, \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} + 2 \, d^{\frac{3}{2}} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) + d^{\frac{3}{2}} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{8 \, b d}"," ",0,"1/8*(4*(d*cos(b*x + a))^(3/2)*d^2/(d^2*cos(b*x + a)^2 - d^2) + 2*d^(3/2)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) + d^(3/2)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
248,1,103,0,0.504847," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{\frac{4 \, \sqrt{d \cos\left(b x + a\right)} d^{2}}{d^{2} \cos\left(b x + a\right)^{2} - d^{2}} - 6 \, \sqrt{d} \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right) + 3 \, \sqrt{d} \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{8 \, b d}"," ",0,"1/8*(4*sqrt(d*cos(b*x + a))*d^2/(d^2*cos(b*x + a)^2 - d^2) - 6*sqrt(d)*arctan(sqrt(d*cos(b*x + a))/sqrt(d)) + 3*sqrt(d)*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d))))/(b*d)","A",0
249,1,117,0,0.874013," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{\frac{10 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{\sqrt{d}} + \frac{5 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{\sqrt{d}} + \frac{4 \, {\left(5 \, d^{2} \cos\left(b x + a\right)^{2} - 4 \, d^{2}\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} - \sqrt{d \cos\left(b x + a\right)} d^{2}}}{8 \, b d}"," ",0,"1/8*(10*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/sqrt(d) + 5*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/sqrt(d) + 4*(5*d^2*cos(b*x + a)^2 - 4*d^2)/((d*cos(b*x + a))^(5/2) - sqrt(d*cos(b*x + a))*d^2))/(b*d)","A",0
250,1,117,0,0.485650," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{\frac{4 \, {\left(7 \, d^{2} \cos\left(b x + a\right)^{2} - 4 \, d^{2}\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}} - \left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}} - \frac{42 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{21 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{d^{\frac{3}{2}}}}{24 \, b d}"," ",0,"1/24*(4*(7*d^2*cos(b*x + a)^2 - 4*d^2)/((d*cos(b*x + a))^(7/2) - (d*cos(b*x + a))^(3/2)*d^2) - 42*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/d^(3/2) + 21*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/d^(3/2))/(b*d)","A",0
251,1,134,0,0.618422," ","integrate(csc(b*x+a)^3/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","\frac{\frac{4 \, {\left(45 \, d^{4} \cos\left(b x + a\right)^{4} - 36 \, d^{4} \cos\left(b x + a\right)^{2} - 4 \, d^{4}\right)}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} d^{2} - \left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}} d^{4}} + \frac{90 \, \arctan\left(\frac{\sqrt{d \cos\left(b x + a\right)}}{\sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{45 \, \log\left(\frac{\sqrt{d \cos\left(b x + a\right)} - \sqrt{d}}{\sqrt{d \cos\left(b x + a\right)} + \sqrt{d}}\right)}{d^{\frac{5}{2}}}}{40 \, b d}"," ",0,"1/40*(4*(45*d^4*cos(b*x + a)^4 - 36*d^4*cos(b*x + a)^2 - 4*d^4)/((d*cos(b*x + a))^(9/2)*d^2 - (d*cos(b*x + a))^(5/2)*d^4) + 90*arctan(sqrt(d*cos(b*x + a))/sqrt(d))/d^(5/2) + 45*log((sqrt(d*cos(b*x + a)) - sqrt(d))/(sqrt(d*cos(b*x + a)) + sqrt(d)))/d^(5/2))/(b*d)","A",0
252,1,18,0,1.059760," ","integrate((d*cos(b*x+a))^(1/5)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{5 \, \left(d \cos\left(b x + a\right)\right)^{\frac{6}{5}}}{6 \, b d}"," ",0,"-5/6*(d*cos(b*x + a))^(6/5)/(b*d)","A",0
253,1,13,0,0.316328," ","integrate(cos(x)^3*sin(x)^(1/2),x, algorithm=""maxima"")","-\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
254,1,13,0,0.311696," ","integrate(cos(x)^3*sin(x)^(3/2),x, algorithm=""maxima"")","-\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
255,1,13,0,0.321460," ","integrate(cos(x)^3*sin(x)^(5/2),x, algorithm=""maxima"")","-\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
256,1,13,0,0.359565," ","integrate(cos(x)^3/sin(x)^(1/2),x, algorithm=""maxima"")","-\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
269,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(5/2), x)","F",0
270,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(9/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(9/2), x)","F",0
271,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(1/2)*(c*sin(b*x+a))^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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
273,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(7/2), x)","F",0
274,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(11/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(11/2), x)","F",0
275,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(3/2)/(d*cos(b*x+a))^(15/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{3}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(3/2)/(d*cos(b*x + a))^(15/2), x)","F",0
276,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(9/2)*(c*sin(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}} \left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(9/2)*(c*sin(b*x + a))^(5/2), x)","F",0
277,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(5/2)*(c*sin(b*x+a))^(5/2),x, algorithm=""maxima"")","\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=""maxima"")","\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
279,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(3/2), x)","F",0
280,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(7/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(7/2), x)","F",0
281,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(11/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(11/2), x)","F",0
282,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(1/2),x, algorithm=""maxima"")","\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
283,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(5/2), x)","F",0
284,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(9/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(9/2), x)","F",0
285,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(13/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(13/2), x)","F",0
286,0,0,0,0.000000," ","integrate((c*sin(b*x+a))^(5/2)/(d*cos(b*x+a))^(17/2),x, algorithm=""maxima"")","\int \frac{\left(c \sin\left(b x + a\right)\right)^{\frac{5}{2}}}{\left(d \cos\left(b x + a\right)\right)^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*sin(b*x + a))^(5/2)/(d*cos(b*x + a))^(17/2), x)","F",0
287,0,0,0,0.000000," ","integrate(sin(b*x+a)^(7/2)/cos(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{\frac{7}{2}}}{\cos\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(7/2)/cos(b*x + a)^(7/2), x)","F",0
288,0,0,0,0.000000," ","integrate(sin(x)^(3/2)/cos(x)^(7/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
291,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(7/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d \cos\left(b x + a\right)\right)^{\frac{7}{2}}}{\sqrt{c \sin\left(b x + a\right)}}\,{d x}"," ",0,"integrate((d*cos(b*x + a))^(7/2)/sqrt(c*sin(b*x + a)), x)","F",0
292,0,0,0,0.000000," ","integrate((d*cos(b*x+a))^(3/2)/(c*sin(b*x+a))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
301,0,0,0,0.000000," ","integrate(cos(b*x+a)^(3/2)/sin(b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{3}{2}}}{\sin\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(3/2)/sin(b*x + a)^(3/2), x)","F",0
302,0,0,0,0.000000," ","integrate(cos(b*x+a)^(5/2)/sin(b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{5}{2}}}{\sin\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(5/2)/sin(b*x + a)^(5/2), x)","F",0
303,0,0,0,0.000000," ","integrate(cos(b*x+a)^(7/2)/sin(b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{7}{2}}}{\sin\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(7/2)/sin(b*x + a)^(7/2), x)","F",0
304,0,0,0,0.000000," ","integrate(cos(f*x+e)^4*(b*sin(f*x+e))^(1/3),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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,-1,0,0,0.000000," ","integrate(sec(f*x+e)^2/(b*sin(f*x+e))^(5/3),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
323,-1,0,0,0.000000," ","integrate(sec(f*x+e)^4/(b*sin(f*x+e))^(5/3),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
324,0,0,0,0.000000," ","integrate(sin(b*x+a)^(1/3)/cos(b*x+a)^(1/3),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{\frac{1}{3}}}{\cos\left(b x + a\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(1/3)/cos(b*x + a)^(1/3), x)","F",0
325,0,0,0,0.000000," ","integrate(sin(b*x+a)^(2/3)/cos(b*x+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{\frac{2}{3}}}{\cos\left(b x + a\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(2/3)/cos(b*x + a)^(2/3), x)","F",0
326,0,0,0,0.000000," ","integrate(sin(b*x+a)^(4/3)/cos(b*x+a)^(4/3),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{\frac{4}{3}}}{\cos\left(b x + a\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(4/3)/cos(b*x + a)^(4/3), x)","F",0
327,0,0,0,0.000000," ","integrate(sin(b*x+a)^(5/3)/cos(b*x+a)^(5/3),x, algorithm=""maxima"")","\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
328,0,0,0,0.000000," ","integrate(sin(b*x+a)^(7/3)/cos(b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{\frac{7}{3}}}{\cos\left(b x + a\right)^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^(7/3)/cos(b*x + a)^(7/3), x)","F",0
329,0,0,0,0.000000," ","integrate(cos(b*x+a)^(1/3)/sin(b*x+a)^(1/3),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{1}{3}}}{\sin\left(b x + a\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(1/3)/sin(b*x + a)^(1/3), x)","F",0
330,0,0,0,0.000000," ","integrate(cos(b*x+a)^(2/3)/sin(b*x+a)^(2/3),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{2}{3}}}{\sin\left(b x + a\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(2/3)/sin(b*x + a)^(2/3), x)","F",0
331,0,0,0,0.000000," ","integrate(cos(b*x+a)^(4/3)/sin(b*x+a)^(4/3),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{4}{3}}}{\sin\left(b x + a\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(4/3)/sin(b*x + a)^(4/3), x)","F",0
332,0,0,0,0.000000," ","integrate(cos(b*x+a)^(5/3)/sin(b*x+a)^(5/3),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{5}{3}}}{\sin\left(b x + a\right)^{\frac{5}{3}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(5/3)/sin(b*x + a)^(5/3), x)","F",0
333,0,0,0,0.000000," ","integrate(cos(b*x+a)^(7/3)/sin(b*x+a)^(7/3),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{\frac{7}{3}}}{\sin\left(b x + a\right)^{\frac{7}{3}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^(7/3)/sin(b*x + a)^(7/3), x)","F",0
334,0,0,0,0.000000," ","integrate(cos(x)^(2/3)/sin(x)^(8/3),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
340,1,77,0,0.563152," ","integrate(cos(b*x+a)^5*(c*sin(b*x+a))^m,x, algorithm=""maxima"")","\frac{\frac{c^{m} \sin\left(b x + a\right)^{m} \sin\left(b x + a\right)^{5}}{m + 5} - \frac{2 \, c^{m} \sin\left(b x + a\right)^{m} \sin\left(b x + a\right)^{3}}{m + 3} + \frac{\left(c \sin\left(b x + a\right)\right)^{m + 1}}{c {\left(m + 1\right)}}}{b}"," ",0,"(c^m*sin(b*x + a)^m*sin(b*x + a)^5/(m + 5) - 2*c^m*sin(b*x + a)^m*sin(b*x + a)^3/(m + 3) + (c*sin(b*x + a))^(m + 1)/(c*(m + 1)))/b","A",0
341,1,53,0,0.434440," ","integrate(cos(b*x+a)^3*(c*sin(b*x+a))^m,x, algorithm=""maxima"")","-\frac{\frac{c^{m} \sin\left(b x + a\right)^{m} \sin\left(b x + a\right)^{3}}{m + 3} - \frac{\left(c \sin\left(b x + a\right)\right)^{m + 1}}{c {\left(m + 1\right)}}}{b}"," ",0,"-(c^m*sin(b*x + a)^m*sin(b*x + a)^3/(m + 3) - (c*sin(b*x + a))^(m + 1)/(c*(m + 1)))/b","A",0
342,1,24,0,0.467879," ","integrate(cos(b*x+a)*(c*sin(b*x+a))^m,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
355,1,78,0,0.382038," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^5,x, algorithm=""maxima"")","-\frac{\frac{d^{n} \cos\left(b x + a\right)^{n} \cos\left(b x + a\right)^{5}}{n + 5} - \frac{2 \, d^{n} \cos\left(b x + a\right)^{n} \cos\left(b x + a\right)^{3}}{n + 3} + \frac{\left(d \cos\left(b x + a\right)\right)^{n + 1}}{d {\left(n + 1\right)}}}{b}"," ",0,"-(d^n*cos(b*x + a)^n*cos(b*x + a)^5/(n + 5) - 2*d^n*cos(b*x + a)^n*cos(b*x + a)^3/(n + 3) + (d*cos(b*x + a))^(n + 1)/(d*(n + 1)))/b","A",0
356,1,52,0,0.368846," ","integrate((d*cos(b*x+a))^n*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{\frac{d^{n} \cos\left(b x + a\right)^{n} \cos\left(b x + a\right)^{3}}{n + 3} - \frac{\left(d \cos\left(b x + a\right)\right)^{n + 1}}{d {\left(n + 1\right)}}}{b}"," ",0,"(d^n*cos(b*x + a)^n*cos(b*x + a)^3/(n + 3) - (d*cos(b*x + a))^(n + 1)/(d*(n + 1)))/b","A",0
357,1,25,0,0.330665," ","integrate((d*cos(b*x+a))^n*sin(b*x+a),x, algorithm=""maxima"")","-\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
371,1,63,0,0.315329," ","integrate(sin(f*x+e)^7*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, b^{6} - \frac{65 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{117 \, b^{6}}{\cos\left(f x + e\right)^{4}} - \frac{195 \, b^{6}}{\cos\left(f x + e\right)^{6}}\right)} b}{195 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{13}{2}}}"," ",0,"2/195*(15*b^6 - 65*b^6/cos(f*x + e)^2 + 117*b^6/cos(f*x + e)^4 - 195*b^6/cos(f*x + e)^6)*b/(f*(b/cos(f*x + e))^(13/2))","A",0
372,1,50,0,0.316991," ","integrate(sin(f*x+e)^5*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, b^{4} - \frac{18 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{45 \, b^{4}}{\cos\left(f x + e\right)^{4}}\right)} b}{45 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{9}{2}}}"," ",0,"-2/45*(5*b^4 - 18*b^4/cos(f*x + e)^2 + 45*b^4/cos(f*x + e)^4)*b/(f*(b/cos(f*x + e))^(9/2))","A",0
373,1,35,0,0.389201," ","integrate(sin(f*x+e)^3*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} - \frac{5 \, b^{2}}{\cos\left(f x + e\right)^{2}}\right)} b}{5 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}}}"," ",0,"2/5*(b^2 - 5*b^2/cos(f*x + e)^2)*b/(f*(b/cos(f*x + e))^(5/2))","A",0
374,1,23,0,0.546636," ","integrate(sin(f*x+e)*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}} \cos\left(f x + e\right)}{f}"," ",0,"-2*sqrt(b/cos(f*x + e))*cos(f*x + e)/f","A",0
375,1,72,0,0.539454," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{2 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{\sqrt{b}} + \frac{\log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{\sqrt{b}}\right)}}{2 \, f}"," ",0,"1/2*b*(2*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/sqrt(b) + log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/sqrt(b))/f","A",0
376,1,106,0,0.434091," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{4 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}}{b^{2} - \frac{b^{2}}{\cos\left(f x + e\right)^{2}}} + \frac{6 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{\sqrt{b}} + \frac{3 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{\sqrt{b}}\right)}}{8 \, f}"," ",0,"1/8*b*(4*(b/cos(f*x + e))^(3/2)/(b^2 - b^2/cos(f*x + e)^2) + 6*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/sqrt(b) + 3*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/sqrt(b))/f","A",0
377,1,138,0,0.415530," ","integrate(csc(f*x+e)^5*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{42 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{\sqrt{b}} + \frac{21 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{\sqrt{b}} + \frac{4 \, {\left(7 \, b^{2} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} - 11 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}\right)}}{b^{4} - \frac{2 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{b^{4}}{\cos\left(f x + e\right)^{4}}}\right)}}{64 \, f}"," ",0,"1/64*b*(42*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/sqrt(b) + 21*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/sqrt(b) + 4*(7*b^2*(b/cos(f*x + e))^(3/2) - 11*(b/cos(f*x + e))^(7/2))/(b^4 - 2*b^4/cos(f*x + e)^2 + b^4/cos(f*x + e)^4))/f","A",0
378,0,0,0,0.000000," ","integrate(sin(f*x+e)^6*(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
385,1,72,0,0.307100," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^7,x, algorithm=""maxima"")","\frac{2 \, b {\left(\frac{7 \, b^{6}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{11}{2}}} - \frac{33 \, b^{4}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}} + \frac{77 \, b^{2}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}} + 77 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}\right)}}{77 \, f}"," ",0,"2/77*b*(7*b^6/(b/cos(f*x + e))^(11/2) - 33*b^4/(b/cos(f*x + e))^(7/2) + 77*b^2/(b/cos(f*x + e))^(3/2) + 77*sqrt(b/cos(f*x + e)))/f","A",0
386,1,55,0,0.418247," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^5,x, algorithm=""maxima"")","-\frac{2 \, b {\left(\frac{3 \, b^{4}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}} - \frac{14 \, b^{2}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}} - 21 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}\right)}}{21 \, f}"," ",0,"-2/21*b*(3*b^4/(b/cos(f*x + e))^(7/2) - 14*b^2/(b/cos(f*x + e))^(3/2) - 21*sqrt(b/cos(f*x + e)))/f","A",0
387,1,37,0,0.357408," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^3,x, algorithm=""maxima"")","\frac{2 \, b {\left(\frac{b^{2}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}} + 3 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}\right)}}{3 \, f}"," ",0,"2/3*b*(b^2/(b/cos(f*x + e))^(3/2) + 3*sqrt(b/cos(f*x + e)))/f","A",0
388,1,23,0,0.460682," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e),x, algorithm=""maxima"")","\frac{2 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} \cos\left(f x + e\right)}{f}"," ",0,"2*(b/cos(f*x + e))^(3/2)*cos(f*x + e)/f","A",0
389,1,87,0,0.514929," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{{\left(2 \, \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right) - \sqrt{b} \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right) - 4 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}\right)} b}{2 \, f}"," ",0,"-1/2*(2*sqrt(b)*arctan(sqrt(b/cos(f*x + e))/sqrt(b)) - sqrt(b)*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e)))) - 4*sqrt(b/cos(f*x + e)))*b/f","A",0
390,1,123,0,0.678383," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{{\left(\frac{4 \, b^{2} \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{b^{2} - \frac{b^{2}}{\cos\left(f x + e\right)^{2}}} - 10 \, \sqrt{b} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right) + 5 \, \sqrt{b} \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right) + 16 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}\right)} b}{8 \, f}"," ",0,"1/8*(4*b^2*sqrt(b/cos(f*x + e))/(b^2 - b^2/cos(f*x + e)^2) - 10*sqrt(b)*arctan(sqrt(b/cos(f*x + e))/sqrt(b)) + 5*sqrt(b)*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e)))) + 16*sqrt(b/cos(f*x + e)))*b/f","A",0
391,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*sin(f*x+e)^6,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
397,1,66,0,0.542943," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^7,x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} + \frac{5 \, b^{6} - \frac{27 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{135 \, b^{6}}{\cos\left(f x + e\right)^{4}}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{9}{2}}}\right)} b}{45 \, f}"," ",0,"2/45*(15*(b/cos(f*x + e))^(3/2) + (5*b^6 - 27*b^6/cos(f*x + e)^2 + 135*b^6/cos(f*x + e)^4)/(b/cos(f*x + e))^(9/2))*b/f","A",0
398,1,52,0,0.395737," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^5,x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} - \frac{3 \, {\left(b^{4} - \frac{10 \, b^{4}}{\cos\left(f x + e\right)^{2}}\right)}}{\left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}}}\right)} b}{15 \, f}"," ",0,"2/15*(5*(b/cos(f*x + e))^(3/2) - 3*(b^4 - 10*b^4/cos(f*x + e)^2)/(b/cos(f*x + e))^(5/2))*b/f","A",0
399,1,36,0,0.325929," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, b^{2}}{\sqrt{\frac{b}{\cos\left(f x + e\right)}}} + \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}\right)} b}{3 \, f}"," ",0,"2/3*(3*b^2/sqrt(b/cos(f*x + e)) + (b/cos(f*x + e))^(3/2))*b/f","A",0
400,1,23,0,0.556115," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e),x, algorithm=""maxima"")","\frac{2 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}} \cos\left(f x + e\right)}{3 \, f}"," ",0,"2/3*(b/cos(f*x + e))^(5/2)*cos(f*x + e)/f","A",0
401,1,87,0,0.429062," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{{\left(6 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right) + 3 \, b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right) + 4 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}\right)} b}{6 \, f}"," ",0,"1/6*(6*b^(3/2)*arctan(sqrt(b/cos(f*x + e))/sqrt(b)) + 3*b^(3/2)*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e)))) + 4*(b/cos(f*x + e))^(3/2))*b/f","A",0
402,1,123,0,0.658401," ","integrate(csc(f*x+e)^3*(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{{\left(\frac{12 \, b^{2} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}}{b^{2} - \frac{b^{2}}{\cos\left(f x + e\right)^{2}}} + 42 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right) + 21 \, b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right) + 16 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}\right)} b}{24 \, f}"," ",0,"1/24*(12*b^2*(b/cos(f*x + e))^(3/2)/(b^2 - b^2/cos(f*x + e)^2) + 42*b^(3/2)*arctan(sqrt(b/cos(f*x + e))/sqrt(b)) + 21*b^(3/2)*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e)))) + 16*(b/cos(f*x + e))^(3/2))*b/f","A",0
403,1,155,0,0.429412," ","integrate(csc(f*x+e)^5*(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{{\left(462 \, b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right) + 231 \, b^{\frac{3}{2}} \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right) + 128 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} + \frac{12 \, {\left(15 \, b^{4} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} - 19 \, b^{2} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}\right)}}{b^{4} - \frac{2 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{b^{4}}{\cos\left(f x + e\right)^{4}}}\right)} b}{192 \, f}"," ",0,"1/192*(462*b^(3/2)*arctan(sqrt(b/cos(f*x + e))/sqrt(b)) + 231*b^(3/2)*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e)))) + 128*(b/cos(f*x + e))^(3/2) + 12*(15*b^4*(b/cos(f*x + e))^(3/2) - 19*b^2*(b/cos(f*x + e))^(7/2))/(b^4 - 2*b^4/cos(f*x + e)^2 + b^4/cos(f*x + e)^4))*b/f","A",0
404,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(5/2)*sin(f*x+e)^6,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
410,1,63,0,1.132432," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(77 \, b^{6} - \frac{315 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{495 \, b^{6}}{\cos\left(f x + e\right)^{4}} - \frac{385 \, b^{6}}{\cos\left(f x + e\right)^{6}}\right)} b}{1155 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{15}{2}}}"," ",0,"2/1155*(77*b^6 - 315*b^6/cos(f*x + e)^2 + 495*b^6/cos(f*x + e)^4 - 385*b^6/cos(f*x + e)^6)*b/(f*(b/cos(f*x + e))^(15/2))","A",0
411,1,50,0,0.418741," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(21 \, b^{4} - \frac{66 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{77 \, b^{4}}{\cos\left(f x + e\right)^{4}}\right)} b}{231 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{11}{2}}}"," ",0,"-2/231*(21*b^4 - 66*b^4/cos(f*x + e)^2 + 77*b^4/cos(f*x + e)^4)*b/(f*(b/cos(f*x + e))^(11/2))","A",0
412,1,37,0,0.422243," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{2} - \frac{7 \, b^{2}}{\cos\left(f x + e\right)^{2}}\right)} b}{21 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}}"," ",0,"2/21*(3*b^2 - 7*b^2/cos(f*x + e)^2)*b/(f*(b/cos(f*x + e))^(7/2))","A",0
413,1,23,0,0.474619," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \cos\left(f x + e\right)}{3 \, f \sqrt{\frac{b}{\cos\left(f x + e\right)}}}"," ",0,"-2/3*cos(f*x + e)/(f*sqrt(b/cos(f*x + e)))","A",0
414,1,73,0,0.453571," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{b {\left(\frac{2 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{3}{2}}} - \frac{\log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{3}{2}}}\right)}}{2 \, f}"," ",0,"-1/2*b*(2*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(3/2) - log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(3/2))/f","A",0
415,1,105,0,0.748712," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{4 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{b^{2} - \frac{b^{2}}{\cos\left(f x + e\right)^{2}}} - \frac{2 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{\log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{3}{2}}}\right)}}{8 \, f}"," ",0,"1/8*b*(4*sqrt(b/cos(f*x + e))/(b^2 - b^2/cos(f*x + e)^2) - 2*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(3/2) + log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(3/2))/f","A",0
416,1,138,0,1.455949," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{4 \, {\left(5 \, b^{2} \sqrt{\frac{b}{\cos\left(f x + e\right)}} - 9 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}}\right)}}{b^{4} - \frac{2 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{b^{4}}{\cos\left(f x + e\right)^{4}}} - \frac{10 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{5 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{3}{2}}}\right)}}{64 \, f}"," ",0,"1/64*b*(4*(5*b^2*sqrt(b/cos(f*x + e)) - 9*(b/cos(f*x + e))^(5/2))/(b^4 - 2*b^4/cos(f*x + e)^2 + b^4/cos(f*x + e)^4) - 10*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(3/2) + 5*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(3/2))/f","A",0
417,0,0,0,0.000000," ","integrate(sin(f*x+e)^6/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
424,1,63,0,0.440918," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(195 \, b^{6} - \frac{765 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{1105 \, b^{6}}{\cos\left(f x + e\right)^{4}} - \frac{663 \, b^{6}}{\cos\left(f x + e\right)^{6}}\right)} b}{3315 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{17}{2}}}"," ",0,"2/3315*(195*b^6 - 765*b^6/cos(f*x + e)^2 + 1105*b^6/cos(f*x + e)^4 - 663*b^6/cos(f*x + e)^6)*b/(f*(b/cos(f*x + e))^(17/2))","A",0
425,1,50,0,0.477266," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(45 \, b^{4} - \frac{130 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{117 \, b^{4}}{\cos\left(f x + e\right)^{4}}\right)} b}{585 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{13}{2}}}"," ",0,"-2/585*(45*b^4 - 130*b^4/cos(f*x + e)^2 + 117*b^4/cos(f*x + e)^4)*b/(f*(b/cos(f*x + e))^(13/2))","A",0
426,1,37,0,1.262080," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{2} - \frac{9 \, b^{2}}{\cos\left(f x + e\right)^{2}}\right)} b}{45 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{9}{2}}}"," ",0,"2/45*(5*b^2 - 9*b^2/cos(f*x + e)^2)*b/(f*(b/cos(f*x + e))^(9/2))","A",0
427,1,23,0,0.446821," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \cos\left(f x + e\right)}{5 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}}"," ",0,"-2/5*cos(f*x + e)/(f*(b/cos(f*x + e))^(3/2))","A",0
428,1,89,0,0.619427," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{2 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{5}{2}}} + \frac{\log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{5}{2}}} + \frac{4}{b^{2} \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}}{2 \, f}"," ",0,"1/2*b*(2*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(5/2) + log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(5/2) + 4/(b^2*sqrt(b/cos(f*x + e))))/f","A",0
429,1,106,0,1.955183," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{4 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}}{b^{4} - \frac{b^{4}}{\cos\left(f x + e\right)^{2}}} - \frac{2 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{5}{2}}} - \frac{\log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{5}{2}}}\right)}}{8 \, f}"," ",0,"1/8*b*(4*(b/cos(f*x + e))^(3/2)/(b^4 - b^4/cos(f*x + e)^2) - 2*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(5/2) - log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(5/2))/f","A",0
430,1,137,0,0.850526," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{b {\left(\frac{4 \, {\left(b^{2} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}} + 3 \, \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{7}{2}}\right)}}{b^{6} - \frac{2 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{b^{6}}{\cos\left(f x + e\right)^{4}}} + \frac{6 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{5}{2}}} + \frac{3 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{5}{2}}}\right)}}{64 \, f}"," ",0,"-1/64*b*(4*(b^2*(b/cos(f*x + e))^(3/2) + 3*(b/cos(f*x + e))^(7/2))/(b^6 - 2*b^6/cos(f*x + e)^2 + b^6/cos(f*x + e)^4) + 6*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(5/2) + 3*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(5/2))/f","A",0
431,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(b*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
437,1,63,0,0.390234," ","integrate(sin(f*x+e)^7/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(385 \, b^{6} - \frac{1463 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{1995 \, b^{6}}{\cos\left(f x + e\right)^{4}} - \frac{1045 \, b^{6}}{\cos\left(f x + e\right)^{6}}\right)} b}{7315 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{19}{2}}}"," ",0,"2/7315*(385*b^6 - 1463*b^6/cos(f*x + e)^2 + 1995*b^6/cos(f*x + e)^4 - 1045*b^6/cos(f*x + e)^6)*b/(f*(b/cos(f*x + e))^(19/2))","A",0
438,1,50,0,0.529624," ","integrate(sin(f*x+e)^5/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(77 \, b^{4} - \frac{210 \, b^{4}}{\cos\left(f x + e\right)^{2}} + \frac{165 \, b^{4}}{\cos\left(f x + e\right)^{4}}\right)} b}{1155 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{15}{2}}}"," ",0,"-2/1155*(77*b^4 - 210*b^4/cos(f*x + e)^2 + 165*b^4/cos(f*x + e)^4)*b/(f*(b/cos(f*x + e))^(15/2))","A",0
439,1,37,0,0.451493," ","integrate(sin(f*x+e)^3/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, b^{2} - \frac{11 \, b^{2}}{\cos\left(f x + e\right)^{2}}\right)} b}{77 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{11}{2}}}"," ",0,"2/77*(7*b^2 - 11*b^2/cos(f*x + e)^2)*b/(f*(b/cos(f*x + e))^(11/2))","A",0
440,1,23,0,0.431445," ","integrate(sin(f*x+e)/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, \cos\left(f x + e\right)}{7 \, f \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}}}"," ",0,"-2/7*cos(f*x + e)/(f*(b/cos(f*x + e))^(5/2))","A",0
441,1,90,0,0.429792," ","integrate(csc(f*x+e)/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","-\frac{b {\left(\frac{6 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{7}{2}}} - \frac{3 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{7}{2}}} - \frac{4}{b^{2} \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{3}{2}}}\right)}}{6 \, f}"," ",0,"-1/6*b*(6*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(7/2) - 3*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(7/2) - 4/(b^2*(b/cos(f*x + e))^(3/2)))/f","A",0
442,1,106,0,0.497547," ","integrate(csc(f*x+e)^3/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{4 \, \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{b^{4} - \frac{b^{4}}{\cos\left(f x + e\right)^{2}}} + \frac{6 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{7}{2}}} - \frac{3 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{7}{2}}}\right)}}{8 \, f}"," ",0,"1/8*b*(4*sqrt(b/cos(f*x + e))/(b^4 - b^4/cos(f*x + e)^2) + 6*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(7/2) - 3*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(7/2))/f","A",0
443,1,136,0,0.898425," ","integrate(csc(f*x+e)^5/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","-\frac{b {\left(\frac{4 \, {\left(3 \, b^{2} \sqrt{\frac{b}{\cos\left(f x + e\right)}} + \left(\frac{b}{\cos\left(f x + e\right)}\right)^{\frac{5}{2}}\right)}}{b^{6} - \frac{2 \, b^{6}}{\cos\left(f x + e\right)^{2}} + \frac{b^{6}}{\cos\left(f x + e\right)^{4}}} - \frac{6 \, \arctan\left(\frac{\sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b}}\right)}{b^{\frac{7}{2}}} + \frac{3 \, \log\left(-\frac{\sqrt{b} - \sqrt{\frac{b}{\cos\left(f x + e\right)}}}{\sqrt{b} + \sqrt{\frac{b}{\cos\left(f x + e\right)}}}\right)}{b^{\frac{7}{2}}}\right)}}{64 \, f}"," ",0,"-1/64*b*(4*(3*b^2*sqrt(b/cos(f*x + e)) + (b/cos(f*x + e))^(5/2))/(b^6 - 2*b^6/cos(f*x + e)^2 + b^6/cos(f*x + e)^4) - 6*arctan(sqrt(b/cos(f*x + e))/sqrt(b))/b^(7/2) + 3*log(-(sqrt(b) - sqrt(b/cos(f*x + e)))/(sqrt(b) + sqrt(b/cos(f*x + e))))/b^(7/2))/f","A",0
444,0,0,0,0.000000," ","integrate(sin(f*x+e)^4/(b*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
470,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(13/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sec\left(f x + e\right)} \sin\left(f x + e\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sec(f*x + e))*sin(f*x + e)^(13/2)), x)","F",0
471,0,0,0,0.000000," ","integrate(1/sin(f*x+e)^(17/2)/(b*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
492,1,85,0,0.352792," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^5,x, algorithm=""maxima"")","\frac{\frac{b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)^{5}}{n - 5} - \frac{2 \, b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)^{3}}{n - 3} + \frac{b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)}{n - 1}}{f}"," ",0,"(b^n*cos(f*x + e)^(-n)*cos(f*x + e)^5/(n - 5) - 2*b^n*cos(f*x + e)^(-n)*cos(f*x + e)^3/(n - 3) + b^n*cos(f*x + e)^(-n)*cos(f*x + e)/(n - 1))/f","A",0
493,1,59,0,1.333601," ","integrate((b*sec(f*x+e))^n*sin(f*x+e)^3,x, algorithm=""maxima"")","-\frac{\frac{b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)^{3}}{n - 3} - \frac{b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)}{n - 1}}{f}"," ",0,"-(b^n*cos(f*x + e)^(-n)*cos(f*x + e)^3/(n - 3) - b^n*cos(f*x + e)^(-n)*cos(f*x + e)/(n - 1))/f","A",0
494,1,28,0,0.362003," ","integrate((b*sec(f*x+e))^n*sin(f*x+e),x, algorithm=""maxima"")","\frac{b^{n} \cos\left(f x + e\right)^{-n} \cos\left(f x + e\right)}{f {\left(n - 1\right)}}"," ",0,"b^n*cos(f*x + e)^(-n)*cos(f*x + e)/(f*(n - 1))","A",0
495,0,0,0,0.000000," ","integrate(csc(f*x+e)*(b*sec(f*x+e))^n,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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,-1,0,0,0.000000," ","integrate(csc(f*x+e)^2*(d*csc(f*x+e))^(3/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
523,0,0,0,0.000000," ","integrate(sin(f*x+e)^3/(d*csc(f*x+e))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
