1,1,79,0,1.984708," ","integrate(sec(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{15 \, C \tan\left(d x + c\right)^{7} + 21 \, A \tan\left(d x + c\right)^{5} + 63 \, C \tan\left(d x + c\right)^{5} + 70 \, A \tan\left(d x + c\right)^{3} + 105 \, C \tan\left(d x + c\right)^{3} + 105 \, A \tan\left(d x + c\right) + 105 \, C \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*C*tan(d*x + c)^7 + 21*A*tan(d*x + c)^5 + 63*C*tan(d*x + c)^5 + 70*A*tan(d*x + c)^3 + 105*C*tan(d*x + c)^3 + 105*A*tan(d*x + c) + 105*C*tan(d*x + c))/d","A",0
2,1,121,0,0.784777," ","integrate(sec(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(6 \, A + 5 \, C\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - 3 \, {\left(6 \, A + 5 \, C\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, {\left(18 \, A \sin\left(d x + c\right)^{5} + 15 \, C \sin\left(d x + c\right)^{5} - 48 \, A \sin\left(d x + c\right)^{3} - 40 \, C \sin\left(d x + c\right)^{3} + 30 \, A \sin\left(d x + c\right) + 33 \, C \sin\left(d x + c\right)\right)}}{{\left(\sin\left(d x + c\right)^{2} - 1\right)}^{3}}}{96 \, d}"," ",0,"1/96*(3*(6*A + 5*C)*log(abs(sin(d*x + c) + 1)) - 3*(6*A + 5*C)*log(abs(sin(d*x + c) - 1)) - 2*(18*A*sin(d*x + c)^5 + 15*C*sin(d*x + c)^5 - 48*A*sin(d*x + c)^3 - 40*C*sin(d*x + c)^3 + 30*A*sin(d*x + c) + 33*C*sin(d*x + c))/(sin(d*x + c)^2 - 1)^3)/d","A",0
3,1,57,0,0.240289," ","integrate(sec(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, C \tan\left(d x + c\right)^{5} + 5 \, A \tan\left(d x + c\right)^{3} + 10 \, C \tan\left(d x + c\right)^{3} + 15 \, A \tan\left(d x + c\right) + 15 \, C \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*C*tan(d*x + c)^5 + 5*A*tan(d*x + c)^3 + 10*C*tan(d*x + c)^3 + 15*A*tan(d*x + c) + 15*C*tan(d*x + c))/d","A",0
4,1,98,0,0.436741," ","integrate(sec(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(4 \, A + 3 \, C\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(4 \, A + 3 \, C\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, {\left(4 \, A \sin\left(d x + c\right)^{3} + 3 \, C \sin\left(d x + c\right)^{3} - 4 \, A \sin\left(d x + c\right) - 5 \, C \sin\left(d x + c\right)\right)}}{{\left(\sin\left(d x + c\right)^{2} - 1\right)}^{2}}}{16 \, d}"," ",0,"1/16*((4*A + 3*C)*log(abs(sin(d*x + c) + 1)) - (4*A + 3*C)*log(abs(sin(d*x + c) - 1)) - 2*(4*A*sin(d*x + c)^3 + 3*C*sin(d*x + c)^3 - 4*A*sin(d*x + c) - 5*C*sin(d*x + c))/(sin(d*x + c)^2 - 1)^2)/d","A",0
5,1,34,0,1.090732," ","integrate(sec(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{C \tan\left(d x + c\right)^{3} + 3 \, A \tan\left(d x + c\right) + 3 \, C \tan\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(C*tan(d*x + c)^3 + 3*A*tan(d*x + c) + 3*C*tan(d*x + c))/d","A",0
6,1,60,0,0.243466," ","integrate(sec(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(2 \, A + C\right)} \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - {\left(2 \, A + C\right)} \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) - \frac{2 \, C \sin\left(d x + c\right)}{\sin\left(d x + c\right)^{2} - 1}}{4 \, d}"," ",0,"1/4*((2*A + C)*log(abs(sin(d*x + c) + 1)) - (2*A + C)*log(abs(sin(d*x + c) - 1)) - 2*C*sin(d*x + c)/(sin(d*x + c)^2 - 1))/d","A",0
7,1,15,0,0.257931," ","integrate(A+C*sec(d*x+c)^2,x, algorithm=""giac"")","A x + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"A*x + C*tan(d*x + c)/d","A",0
8,1,40,0,0.215117," ","integrate(cos(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{C \log\left({\left| \sin\left(d x + c\right) + 1 \right|}\right) - C \log\left({\left| \sin\left(d x + c\right) - 1 \right|}\right) + 2 \, A \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(C*log(abs(sin(d*x + c) + 1)) - C*log(abs(sin(d*x + c) - 1)) + 2*A*sin(d*x + c))/d","A",0
9,1,37,0,0.203155," ","integrate(cos(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} {\left(A + 2 \, C\right)} + \frac{A \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{2} + 1}}{2 \, d}"," ",0,"1/2*((d*x + c)*(A + 2*C) + A*tan(d*x + c)/(tan(d*x + c)^2 + 1))/d","A",0
10,1,34,0,0.242149," ","integrate(cos(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","-\frac{A \sin\left(d x + c\right)^{3} - 3 \, A \sin\left(d x + c\right) - 3 \, C \sin\left(d x + c\right)}{3 \, d}"," ",0,"-1/3*(A*sin(d*x + c)^3 - 3*A*sin(d*x + c) - 3*C*sin(d*x + c))/d","A",0
11,1,73,0,0.776186," ","integrate(cos(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} {\left(3 \, A + 4 \, C\right)} + \frac{3 \, A \tan\left(d x + c\right)^{3} + 4 \, C \tan\left(d x + c\right)^{3} + 5 \, A \tan\left(d x + c\right) + 4 \, C \tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)}^{2}}}{8 \, d}"," ",0,"1/8*((d*x + c)*(3*A + 4*C) + (3*A*tan(d*x + c)^3 + 4*C*tan(d*x + c)^3 + 5*A*tan(d*x + c) + 4*C*tan(d*x + c))/(tan(d*x + c)^2 + 1)^2)/d","A",0
12,1,57,0,0.202864," ","integrate(cos(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, A \sin\left(d x + c\right)^{5} - 10 \, A \sin\left(d x + c\right)^{3} - 5 \, C \sin\left(d x + c\right)^{3} + 15 \, A \sin\left(d x + c\right) + 15 \, C \sin\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*A*sin(d*x + c)^5 - 10*A*sin(d*x + c)^3 - 5*C*sin(d*x + c)^3 + 15*A*sin(d*x + c) + 15*C*sin(d*x + c))/d","A",0
13,1,96,0,0.209581," ","integrate(cos(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} {\left(5 \, A + 6 \, C\right)} + \frac{15 \, A \tan\left(d x + c\right)^{5} + 18 \, C \tan\left(d x + c\right)^{5} + 40 \, A \tan\left(d x + c\right)^{3} + 48 \, C \tan\left(d x + c\right)^{3} + 33 \, A \tan\left(d x + c\right) + 30 \, C \tan\left(d x + c\right)}{{\left(\tan\left(d x + c\right)^{2} + 1\right)}^{3}}}{48 \, d}"," ",0,"1/48*(3*(d*x + c)*(5*A + 6*C) + (15*A*tan(d*x + c)^5 + 18*C*tan(d*x + c)^5 + 40*A*tan(d*x + c)^3 + 48*C*tan(d*x + c)^3 + 33*A*tan(d*x + c) + 30*C*tan(d*x + c))/(tan(d*x + c)^2 + 1)^3)/d","A",0
14,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(-C*m/(1+m)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} - \frac{C m}{m + 1}\right)} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 - C*m/(m + 1))*sec(d*x + c)^m, x)","F",0
15,0,0,0,0.000000," ","integrate(sec(d*x+c)^m*(A-A*(1+m)*sec(d*x+c)^2/m),x, algorithm=""giac"")","\int -{\left(\frac{A {\left(m + 1\right)} \sec\left(d x + c\right)^{2}}{m} - A\right)} \sec\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate(-(A*(m + 1)*sec(d*x + c)^2/m - A)*sec(d*x + c)^m, x)","F",0
16,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(5/2)*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*(b*sec(d*x + c))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*(b*sec(d*x + c))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(A+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/sqrt(b*sec(d*x + c)), x)","F",0
20,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(3/2), x)","F",0
21,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(5/2), x)","F",0
22,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(7/2), x)","F",0
23,0,0,0,0.000000," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + A)/(b*sec(d*x + c))^(9/2), x)","F",0
24,1,47,0,0.360883," ","integrate((3+3*sec(d*x+c)^2)/sec(d*x+c)^(1/2),x, algorithm=""giac"")","-\frac{12 \, \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{\sqrt{-\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 1} d \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}"," ",0,"-12*tan(1/2*d*x + 1/2*c)/(sqrt(-tan(1/2*d*x + 1/2*c)^4 + 1)*d*sgn(tan(1/2*d*x + 1/2*c)^2 - 1))","B",0
25,0,0,0,0.000000," ","integrate(sec(f*x+e)^m*(m-(1+m)*sec(f*x+e)^2),x, algorithm=""giac"")","\int -{\left({\left(m + 1\right)} \sec\left(f x + e\right)^{2} - m\right)} \sec\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate(-((m + 1)*sec(f*x + e)^2 - m)*sec(f*x + e)^m, x)","F",0
26,1,24,0,0.277958," ","integrate(sec(f*x+e)^5*(5-6*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\sin\left(f x + e\right)}{{\left(\sin\left(f x + e\right)^{2} - 1\right)}^{3} f}"," ",0,"sin(f*x + e)/((sin(f*x + e)^2 - 1)^3*f)","A",0
27,1,33,0,0.239336," ","integrate(sec(f*x+e)^4*(4-5*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\tan\left(f x + e\right)^{5} + 2 \, \tan\left(f x + e\right)^{3} + \tan\left(f x + e\right)}{f}"," ",0,"-(tan(f*x + e)^5 + 2*tan(f*x + e)^3 + tan(f*x + e))/f","A",0
28,1,25,0,0.281099," ","integrate(sec(f*x+e)^3*(3-4*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\sin\left(f x + e\right)}{{\left(\sin\left(f x + e\right)^{2} - 1\right)}^{2} f}"," ",0,"-sin(f*x + e)/((sin(f*x + e)^2 - 1)^2*f)","A",0
29,1,22,0,0.439709," ","integrate(sec(f*x+e)^2*(2-3*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\tan\left(f x + e\right)^{3} + \tan\left(f x + e\right)}{f}"," ",0,"-(tan(f*x + e)^3 + tan(f*x + e))/f","A",0
30,1,26,0,0.245862," ","integrate(sec(f*x+e)*(1-2*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{1}{f {\left(\frac{1}{\sin\left(f x + e\right)} - \sin\left(f x + e\right)\right)}}"," ",0,"-1/(f*(1/sin(f*x + e) - sin(f*x + e)))","A",0
31,1,12,0,0.174458," ","integrate(-sec(f*x+e)^2,x, algorithm=""giac"")","-\frac{\tan\left(f x + e\right)}{f}"," ",0,"-tan(f*x + e)/f","A",0
32,1,12,0,0.342631," ","integrate(-cos(f*x+e),x, algorithm=""giac"")","-\frac{\sin\left(f x + e\right)}{f}"," ",0,"-sin(f*x + e)/f","A",0
33,1,15,0,0.337543," ","integrate(cos(f*x+e)^2*(-2+sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\sin\left(2 \, f x + 2 \, e\right)}{2 \, f}"," ",0,"-1/2*sin(2*f*x + 2*e)/f","A",0
34,1,23,0,0.186776," ","integrate(cos(f*x+e)^3*(-3+2*sec(f*x+e)^2),x, algorithm=""giac"")","\frac{\sin\left(f x + e\right)^{3} - \sin\left(f x + e\right)}{f}"," ",0,"(sin(f*x + e)^3 - sin(f*x + e))/f","A",0
35,1,25,0,0.638664," ","integrate(cos(f*x+e)^4*(-4+3*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\tan\left(f x + e\right)}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} f}"," ",0,"-tan(f*x + e)/((tan(f*x + e)^2 + 1)^2*f)","A",0
36,1,33,0,0.321625," ","integrate(cos(f*x+e)^5*(-5+4*sec(f*x+e)^2),x, algorithm=""giac"")","-\frac{\sin\left(f x + e\right)^{5} - 2 \, \sin\left(f x + e\right)^{3} + \sin\left(f x + e\right)}{f}"," ",0,"-(sin(f*x + e)^5 - 2*sin(f*x + e)^3 + sin(f*x + e))/f","A",0
37,1,164,0,0.504290," ","integrate(sec(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{9 \, C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - 9 \, C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, {\left(24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 15 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 9 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 9 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 15 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{4}}}{24 \, d}"," ",0,"1/24*(9*C*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - 9*C*log(abs(tan(1/2*d*x + 1/2*c) - 1)) - 2*(24*B*tan(1/2*d*x + 1/2*c)^7 - 15*C*tan(1/2*d*x + 1/2*c)^7 - 40*B*tan(1/2*d*x + 1/2*c)^5 - 9*C*tan(1/2*d*x + 1/2*c)^5 + 40*B*tan(1/2*d*x + 1/2*c)^3 - 9*C*tan(1/2*d*x + 1/2*c)^3 - 24*B*tan(1/2*d*x + 1/2*c) - 15*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^4)/d","B",0
38,1,122,0,0.491051," ","integrate(sec(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - 3 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) + \frac{2 \, {\left(3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 4 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*B*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - 3*B*log(abs(tan(1/2*d*x + 1/2*c) - 1)) + 2*(3*B*tan(1/2*d*x + 1/2*c)^5 - 6*C*tan(1/2*d*x + 1/2*c)^5 + 4*C*tan(1/2*d*x + 1/2*c)^3 - 3*B*tan(1/2*d*x + 1/2*c) - 6*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^3)/d","B",0
39,1,107,0,0.247129," ","integrate(sec(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, {\left(2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(C*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - C*log(abs(tan(1/2*d*x + 1/2*c) - 1)) - 2*(2*B*tan(1/2*d*x + 1/2*c)^3 - C*tan(1/2*d*x + 1/2*c)^3 - 2*B*tan(1/2*d*x + 1/2*c) - C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^2)/d","B",0
40,1,57,0,1.353577," ","integrate(B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""giac"")","\frac{B {\left(\log\left({\left| \frac{1}{\sin\left(d x + c\right)} + \sin\left(d x + c\right) + 2 \right|}\right) - \log\left({\left| \frac{1}{\sin\left(d x + c\right)} + \sin\left(d x + c\right) - 2 \right|}\right)\right)}}{4 \, d} + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"1/4*B*(log(abs(1/sin(d*x + c) + sin(d*x + c) + 2)) - log(abs(1/sin(d*x + c) + sin(d*x + c) - 2)))/d + C*tan(d*x + c)/d","B",0
41,1,43,0,0.218624," ","integrate(cos(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} B + C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right)}{d}"," ",0,"((d*x + c)*B + C*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - C*log(abs(tan(1/2*d*x + 1/2*c) - 1)))/d","B",0
42,1,39,0,0.232086," ","integrate(cos(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} C + \frac{2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}}{d}"," ",0,"((d*x + c)*C + 2*B*tan(1/2*d*x + 1/2*c)/(tan(1/2*d*x + 1/2*c)^2 + 1))/d","B",0
43,1,82,0,0.221067," ","integrate(cos(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} B - \frac{2 \, {\left(B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 2 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*((d*x + c)*B - 2*(B*tan(1/2*d*x + 1/2*c)^3 - 2*C*tan(1/2*d*x + 1/2*c)^3 - B*tan(1/2*d*x + 1/2*c) - 2*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^2)/d","B",0
44,1,98,0,0.268969," ","integrate(cos(d*x+c)^4*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} C + \frac{2 \, {\left(6 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 3 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 4 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 6 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*(d*x + c)*C + 2*(6*B*tan(1/2*d*x + 1/2*c)^5 - 3*C*tan(1/2*d*x + 1/2*c)^5 + 4*B*tan(1/2*d*x + 1/2*c)^3 + 6*B*tan(1/2*d*x + 1/2*c) + 3*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^3)/d","B",0
45,1,140,0,0.224736," ","integrate(cos(d*x+c)^5*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{9 \, {\left(d x + c\right)} B - \frac{2 \, {\left(15 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 24 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 9 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 40 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 9 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 40 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 15 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 24 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{4}}}{24 \, d}"," ",0,"1/24*(9*(d*x + c)*B - 2*(15*B*tan(1/2*d*x + 1/2*c)^7 - 24*C*tan(1/2*d*x + 1/2*c)^7 - 9*B*tan(1/2*d*x + 1/2*c)^5 - 40*C*tan(1/2*d*x + 1/2*c)^5 + 9*B*tan(1/2*d*x + 1/2*c)^3 - 40*C*tan(1/2*d*x + 1/2*c)^3 - 15*B*tan(1/2*d*x + 1/2*c) - 24*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^4)/d","B",0
46,1,154,0,0.585022," ","integrate(cos(d*x+c)^6*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{45 \, {\left(d x + c\right)} C + \frac{2 \, {\left(120 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} - 75 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 160 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 30 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 464 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 160 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 30 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 75 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(45*(d*x + c)*C + 2*(120*B*tan(1/2*d*x + 1/2*c)^9 - 75*C*tan(1/2*d*x + 1/2*c)^9 + 160*B*tan(1/2*d*x + 1/2*c)^7 - 30*C*tan(1/2*d*x + 1/2*c)^7 + 464*B*tan(1/2*d*x + 1/2*c)^5 + 160*B*tan(1/2*d*x + 1/2*c)^3 + 30*C*tan(1/2*d*x + 1/2*c)^3 + 120*B*tan(1/2*d*x + 1/2*c) + 75*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^5)/d","A",0
47,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))*(b*sec(d*x + c))^(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))*sqrt(b*sec(d*x + c)), x)","F",0
49,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/sqrt(b*sec(d*x + c)), x)","F",0
50,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(5/2), x)","F",0
52,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(7/2), x)","F",0
53,0,0,0,0.000000," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right)}{\left(b \sec\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c))/(b*sec(d*x + c))^(9/2), x)","F",0
54,1,246,0,0.275406," ","integrate(sec(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{45 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - 45 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, {\left(120 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} - 75 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 120 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} - 320 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 30 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 160 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 400 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 464 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 320 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 30 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 160 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 75 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 120 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(45*B*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - 45*B*log(abs(tan(1/2*d*x + 1/2*c) - 1)) - 2*(120*A*tan(1/2*d*x + 1/2*c)^9 - 75*B*tan(1/2*d*x + 1/2*c)^9 + 120*C*tan(1/2*d*x + 1/2*c)^9 - 320*A*tan(1/2*d*x + 1/2*c)^7 + 30*B*tan(1/2*d*x + 1/2*c)^7 - 160*C*tan(1/2*d*x + 1/2*c)^7 + 400*A*tan(1/2*d*x + 1/2*c)^5 + 464*C*tan(1/2*d*x + 1/2*c)^5 - 320*A*tan(1/2*d*x + 1/2*c)^3 - 30*B*tan(1/2*d*x + 1/2*c)^3 - 160*C*tan(1/2*d*x + 1/2*c)^3 + 120*A*tan(1/2*d*x + 1/2*c) + 75*B*tan(1/2*d*x + 1/2*c) + 120*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^5)/d","B",0
55,1,230,0,0.297775," ","integrate(sec(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(4 \, A + 3 \, C\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - 3 \, {\left(4 \, A + 3 \, C\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) + \frac{2 \, {\left(12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 15 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 9 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 9 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 15 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{4}}}{24 \, d}"," ",0,"1/24*(3*(4*A + 3*C)*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - 3*(4*A + 3*C)*log(abs(tan(1/2*d*x + 1/2*c) - 1)) + 2*(12*A*tan(1/2*d*x + 1/2*c)^7 - 24*B*tan(1/2*d*x + 1/2*c)^7 + 15*C*tan(1/2*d*x + 1/2*c)^7 - 12*A*tan(1/2*d*x + 1/2*c)^5 + 40*B*tan(1/2*d*x + 1/2*c)^5 + 9*C*tan(1/2*d*x + 1/2*c)^5 - 12*A*tan(1/2*d*x + 1/2*c)^3 - 40*B*tan(1/2*d*x + 1/2*c)^3 + 9*C*tan(1/2*d*x + 1/2*c)^3 + 12*A*tan(1/2*d*x + 1/2*c) + 24*B*tan(1/2*d*x + 1/2*c) + 15*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^4)/d","B",0
56,1,162,0,0.282084," ","integrate(sec(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - 3 \, B \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, {\left(6 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 12 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 6 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*B*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - 3*B*log(abs(tan(1/2*d*x + 1/2*c) - 1)) - 2*(6*A*tan(1/2*d*x + 1/2*c)^5 - 3*B*tan(1/2*d*x + 1/2*c)^5 + 6*C*tan(1/2*d*x + 1/2*c)^5 - 12*A*tan(1/2*d*x + 1/2*c)^3 - 4*C*tan(1/2*d*x + 1/2*c)^3 + 6*A*tan(1/2*d*x + 1/2*c) + 3*B*tan(1/2*d*x + 1/2*c) + 6*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^3)/d","B",0
57,1,115,0,0.254913," ","integrate(sec(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(2 \, A + C\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - {\left(2 \, A + C\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) - \frac{2 \, {\left(2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*((2*A + C)*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - (2*A + C)*log(abs(tan(1/2*d*x + 1/2*c) - 1)) - 2*(2*B*tan(1/2*d*x + 1/2*c)^3 - C*tan(1/2*d*x + 1/2*c)^3 - 2*B*tan(1/2*d*x + 1/2*c) - C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 - 1)^2)/d","B",0
58,1,60,0,0.399982," ","integrate(A+B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""giac"")","A x + \frac{B {\left(\log\left({\left| \frac{1}{\sin\left(d x + c\right)} + \sin\left(d x + c\right) + 2 \right|}\right) - \log\left({\left| \frac{1}{\sin\left(d x + c\right)} + \sin\left(d x + c\right) - 2 \right|}\right)\right)}}{4 \, d} + \frac{C \tan\left(d x + c\right)}{d}"," ",0,"A*x + 1/4*B*(log(abs(1/sin(d*x + c) + sin(d*x + c) + 2)) - log(abs(1/sin(d*x + c) + sin(d*x + c) - 2)))/d + C*tan(d*x + c)/d","B",0
59,1,70,0,0.227710," ","integrate(cos(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} B + C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1 \right|}\right) - C \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1 \right|}\right) + \frac{2 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}}{d}"," ",0,"((d*x + c)*B + C*log(abs(tan(1/2*d*x + 1/2*c) + 1)) - C*log(abs(tan(1/2*d*x + 1/2*c) - 1)) + 2*A*tan(1/2*d*x + 1/2*c)/(tan(1/2*d*x + 1/2*c)^2 + 1))/d","B",0
60,1,86,0,0.219295," ","integrate(cos(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} {\left(A + 2 \, C\right)} - \frac{2 \, {\left(A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*((d*x + c)*(A + 2*C) - 2*(A*tan(1/2*d*x + 1/2*c)^3 - 2*B*tan(1/2*d*x + 1/2*c)^3 - A*tan(1/2*d*x + 1/2*c) - 2*B*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^2)/d","B",0
61,1,138,0,0.242123," ","integrate(cos(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} B + \frac{2 \, {\left(6 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 4 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 12 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 6 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 6 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(3*(d*x + c)*B + 2*(6*A*tan(1/2*d*x + 1/2*c)^5 - 3*B*tan(1/2*d*x + 1/2*c)^5 + 6*C*tan(1/2*d*x + 1/2*c)^5 + 4*A*tan(1/2*d*x + 1/2*c)^3 + 12*C*tan(1/2*d*x + 1/2*c)^3 + 6*A*tan(1/2*d*x + 1/2*c) + 3*B*tan(1/2*d*x + 1/2*c) + 6*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^3)/d","B",0
62,1,200,0,0.206001," ","integrate(cos(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} {\left(3 \, A + 4 \, C\right)} - \frac{2 \, {\left(15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 12 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 9 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 12 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 9 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 40 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 12 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 15 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 24 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 12 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{4}}}{24 \, d}"," ",0,"1/24*(3*(d*x + c)*(3*A + 4*C) - 2*(15*A*tan(1/2*d*x + 1/2*c)^7 - 24*B*tan(1/2*d*x + 1/2*c)^7 + 12*C*tan(1/2*d*x + 1/2*c)^7 - 9*A*tan(1/2*d*x + 1/2*c)^5 - 40*B*tan(1/2*d*x + 1/2*c)^5 + 12*C*tan(1/2*d*x + 1/2*c)^5 + 9*A*tan(1/2*d*x + 1/2*c)^3 - 40*B*tan(1/2*d*x + 1/2*c)^3 - 12*C*tan(1/2*d*x + 1/2*c)^3 - 15*A*tan(1/2*d*x + 1/2*c) - 24*B*tan(1/2*d*x + 1/2*c) - 12*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^4)/d","B",0
63,1,222,0,0.209069," ","integrate(cos(d*x+c)^5*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{45 \, {\left(d x + c\right)} B + \frac{2 \, {\left(120 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} - 75 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 120 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 160 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 30 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 320 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 464 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 400 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 160 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 30 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 320 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 75 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 120 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{5}}}{120 \, d}"," ",0,"1/120*(45*(d*x + c)*B + 2*(120*A*tan(1/2*d*x + 1/2*c)^9 - 75*B*tan(1/2*d*x + 1/2*c)^9 + 120*C*tan(1/2*d*x + 1/2*c)^9 + 160*A*tan(1/2*d*x + 1/2*c)^7 - 30*B*tan(1/2*d*x + 1/2*c)^7 + 320*C*tan(1/2*d*x + 1/2*c)^7 + 464*A*tan(1/2*d*x + 1/2*c)^5 + 400*C*tan(1/2*d*x + 1/2*c)^5 + 160*A*tan(1/2*d*x + 1/2*c)^3 + 30*B*tan(1/2*d*x + 1/2*c)^3 + 320*C*tan(1/2*d*x + 1/2*c)^3 + 120*A*tan(1/2*d*x + 1/2*c) + 75*B*tan(1/2*d*x + 1/2*c) + 120*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^5)/d","B",0
64,1,284,0,0.245031," ","integrate(cos(d*x+c)^6*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\frac{15 \, {\left(d x + c\right)} {\left(5 \, A + 6 \, C\right)} - \frac{2 \, {\left(165 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{11} - 240 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{11} + 150 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{11} - 25 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} - 560 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 210 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{9} + 450 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 1248 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} + 60 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{7} - 450 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 1248 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 60 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 25 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 560 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 210 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 165 \, A \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 240 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 150 \, C \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{6}}}{240 \, d}"," ",0,"1/240*(15*(d*x + c)*(5*A + 6*C) - 2*(165*A*tan(1/2*d*x + 1/2*c)^11 - 240*B*tan(1/2*d*x + 1/2*c)^11 + 150*C*tan(1/2*d*x + 1/2*c)^11 - 25*A*tan(1/2*d*x + 1/2*c)^9 - 560*B*tan(1/2*d*x + 1/2*c)^9 + 210*C*tan(1/2*d*x + 1/2*c)^9 + 450*A*tan(1/2*d*x + 1/2*c)^7 - 1248*B*tan(1/2*d*x + 1/2*c)^7 + 60*C*tan(1/2*d*x + 1/2*c)^7 - 450*A*tan(1/2*d*x + 1/2*c)^5 - 1248*B*tan(1/2*d*x + 1/2*c)^5 - 60*C*tan(1/2*d*x + 1/2*c)^5 + 25*A*tan(1/2*d*x + 1/2*c)^3 - 560*B*tan(1/2*d*x + 1/2*c)^3 - 210*C*tan(1/2*d*x + 1/2*c)^3 - 165*A*tan(1/2*d*x + 1/2*c) - 240*B*tan(1/2*d*x + 1/2*c) - 150*C*tan(1/2*d*x + 1/2*c))/(tan(1/2*d*x + 1/2*c)^2 + 1)^6)/d","B",0
65,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(3/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A\right)} \left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*(b*sec(d*x + c))^(3/2), x)","F",0
66,0,0,0,0.000000," ","integrate((b*sec(d*x+c))^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""giac"")","\int {\left(C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A\right)} \sqrt{b \sec\left(d x + c\right)}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c)), x)","F",0
67,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\sqrt{b \sec\left(d x + c\right)}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/sqrt(b*sec(d*x + c)), x)","F",0
68,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(3/2), x)","F",0
69,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(5/2), x)","F",0
70,0,0,0,0.000000," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{C \sec\left(d x + c\right)^{2} + B \sec\left(d x + c\right) + A}{\left(b \sec\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)/(b*sec(d*x + c))^(7/2), x)","F",0
