1,1,74,0,0.403079," ","integrate(sec(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(8 \, {\left(7 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{6} + 4 \, {\left(7 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{4} + 3 \, {\left(7 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{2} + 15 \, C\right)} \sin\left(d x + c\right)}{105 \, d \cos\left(d x + c\right)^{7}}"," ",0,"1/105*(8*(7*A + 6*C)*cos(d*x + c)^6 + 4*(7*A + 6*C)*cos(d*x + c)^4 + 3*(7*A + 6*C)*cos(d*x + c)^2 + 15*C)*sin(d*x + c)/(d*cos(d*x + c)^7)","A",0
2,1,114,0,0.902522," ","integrate(sec(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{6} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{6} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(3 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{4} + 2 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, C\right)} \sin\left(d x + c\right)}{96 \, d \cos\left(d x + c\right)^{6}}"," ",0,"1/96*(3*(6*A + 5*C)*cos(d*x + c)^6*log(sin(d*x + c) + 1) - 3*(6*A + 5*C)*cos(d*x + c)^6*log(-sin(d*x + c) + 1) + 2*(3*(6*A + 5*C)*cos(d*x + c)^4 + 2*(6*A + 5*C)*cos(d*x + c)^2 + 8*C)*sin(d*x + c))/(d*cos(d*x + c)^6)","A",0
3,1,56,0,0.804945," ","integrate(sec(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(2 \, {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{4} + {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, C\right)} \sin\left(d x + c\right)}{15 \, d \cos\left(d x + c\right)^{5}}"," ",0,"1/15*(2*(5*A + 4*C)*cos(d*x + c)^4 + (5*A + 4*C)*cos(d*x + c)^2 + 3*C)*sin(d*x + c)/(d*cos(d*x + c)^5)","A",0
4,1,95,0,0.862579," ","integrate(sec(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left({\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, C\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{4}}"," ",0,"1/16*((4*A + 3*C)*cos(d*x + c)^4*log(sin(d*x + c) + 1) - (4*A + 3*C)*cos(d*x + c)^4*log(-sin(d*x + c) + 1) + 2*((4*A + 3*C)*cos(d*x + c)^2 + 2*C)*sin(d*x + c))/(d*cos(d*x + c)^4)","A",0
5,1,37,0,0.890974," ","integrate(sec(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left({\left(3 \, A + 2 \, C\right)} \cos\left(d x + c\right)^{2} + C\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{3}}"," ",0,"1/3*((3*A + 2*C)*cos(d*x + c)^2 + C)*sin(d*x + c)/(d*cos(d*x + c)^3)","A",0
6,1,72,0,0.634219," ","integrate(sec(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(2 \, A + C\right)} \cos\left(d x + c\right)^{2} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(2 \, A + C\right)} \cos\left(d x + c\right)^{2} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, C \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{2}}"," ",0,"1/4*((2*A + C)*cos(d*x + c)^2*log(sin(d*x + c) + 1) - (2*A + C)*cos(d*x + c)^2*log(-sin(d*x + c) + 1) + 2*C*sin(d*x + c))/(d*cos(d*x + c)^2)","A",0
7,1,31,0,0.440624," ","integrate(A+C*sec(d*x+c)^2,x, algorithm=""fricas"")","\frac{A d x \cos\left(d x + c\right) + C \sin\left(d x + c\right)}{d \cos\left(d x + c\right)}"," ",0,"(A*d*x*cos(d*x + c) + C*sin(d*x + c))/(d*cos(d*x + c))","B",0
8,1,40,0,0.462376," ","integrate(cos(d*x+c)*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{C \log\left(\sin\left(d x + c\right) + 1\right) - C \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, A \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(C*log(sin(d*x + c) + 1) - C*log(-sin(d*x + c) + 1) + 2*A*sin(d*x + c))/d","A",0
9,1,28,0,0.440772," ","integrate(cos(d*x+c)^2*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(A + 2 \, C\right)} d x + A \cos\left(d x + c\right) \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*((A + 2*C)*d*x + A*cos(d*x + c)*sin(d*x + c))/d","A",0
10,1,28,0,0.424662," ","integrate(cos(d*x+c)^3*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(A \cos\left(d x + c\right)^{2} + 2 \, A + 3 \, C\right)} \sin\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(A*cos(d*x + c)^2 + 2*A + 3*C)*sin(d*x + c)/d","A",0
11,1,49,0,0.428965," ","integrate(cos(d*x+c)^4*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(3 \, A + 4 \, C\right)} d x + {\left(2 \, A \cos\left(d x + c\right)^{3} + {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)\right)} \sin\left(d x + c\right)}{8 \, d}"," ",0,"1/8*((3*A + 4*C)*d*x + (2*A*cos(d*x + c)^3 + (3*A + 4*C)*cos(d*x + c))*sin(d*x + c))/d","A",0
12,1,45,0,0.436522," ","integrate(cos(d*x+c)^5*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(3 \, A \cos\left(d x + c\right)^{4} + {\left(4 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, A + 10 \, C\right)} \sin\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*A*cos(d*x + c)^4 + (4*A + 5*C)*cos(d*x + c)^2 + 8*A + 10*C)*sin(d*x + c)/d","A",0
13,1,68,0,0.426546," ","integrate(cos(d*x+c)^6*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, A + 6 \, C\right)} d x + {\left(8 \, A \cos\left(d x + c\right)^{5} + 2 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{3} + 3 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)\right)} \sin\left(d x + c\right)}{48 \, d}"," ",0,"1/48*(3*(5*A + 6*C)*d*x + (8*A*cos(d*x + c)^5 + 2*(5*A + 6*C)*cos(d*x + c)^3 + 3*(5*A + 6*C)*cos(d*x + c))*sin(d*x + c))/d","A",0
14,1,33,0,0.479947," ","integrate(sec(d*x+c)^m*(-C*m/(1+m)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{C \frac{1}{\cos\left(d x + c\right)}^{m} \sin\left(d x + c\right)}{{\left(d m + d\right)} \cos\left(d x + c\right)}"," ",0,"C*(1/cos(d*x + c))^m*sin(d*x + c)/((d*m + d)*cos(d*x + c))","A",0
15,1,33,0,0.436287," ","integrate(sec(d*x+c)^m*(A-A*(1+m)*sec(d*x+c)^2/m),x, algorithm=""fricas"")","-\frac{A \frac{1}{\cos\left(d x + c\right)}^{m} \sin\left(d x + c\right)}{d m \cos\left(d x + c\right)}"," ",0,"-A*(1/cos(d*x + c))^m*sin(d*x + c)/(d*m*cos(d*x + c))","A",0
16,0,0,0,0.440374," ","integrate((b*sec(d*x+c))^(5/2)*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \sec\left(d x + c\right)^{4} + A b^{2} \sec\left(d x + c\right)^{2}\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*b^2*sec(d*x + c)^4 + A*b^2*sec(d*x + c)^2)*sqrt(b*sec(d*x + c)), x)","F",0
17,0,0,0,0.434363," ","integrate((b*sec(d*x+c))^(3/2)*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \sec\left(d x + c\right)^{3} + A b \sec\left(d x + c\right)\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*sec(d*x + c)^3 + A*b*sec(d*x + c))*sqrt(b*sec(d*x + c)), x)","F",0
18,0,0,0,0.422382," ","integrate((b*sec(d*x+c))^(1/2)*(A+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c)), x)","F",0
19,0,0,0,0.422300," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b*sec(d*x + c)), x)","F",0
20,0,0,0,0.428375," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)^2), x)","F",0
21,0,0,0,0.418764," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{3} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^3), x)","F",0
22,0,0,0,0.426559," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{4} \sec\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^4*sec(d*x + c)^4), x)","F",0
23,0,0,0,0.443099," ","integrate((A+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{5} \sec\left(d x + c\right)^{5}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^5*sec(d*x + c)^5), x)","F",0
24,1,19,0,0.409938," ","integrate((3+3*sec(d*x+c)^2)/sec(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{6 \, \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"6*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
25,1,29,0,0.421114," ","integrate(sec(f*x+e)^m*(m-(1+m)*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\frac{1}{\cos\left(f x + e\right)}^{m} \sin\left(f x + e\right)}{f \cos\left(f x + e\right)}"," ",0,"-(1/cos(f*x + e))^m*sin(f*x + e)/(f*cos(f*x + e))","A",0
26,1,19,0,0.414917," ","integrate(sec(f*x+e)^5*(5-6*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)^{6}}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e)^6)","A",0
27,1,19,0,0.431367," ","integrate(sec(f*x+e)^4*(4-5*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)^{5}}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e)^5)","A",0
28,1,19,0,0.406704," ","integrate(sec(f*x+e)^3*(3-4*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)^{4}}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e)^4)","A",0
29,1,19,0,0.443179," ","integrate(sec(f*x+e)^2*(2-3*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)^{3}}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e)^3)","A",0
30,1,19,0,0.432568," ","integrate(sec(f*x+e)*(1-2*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)^{2}}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e)^2)","A",0
31,1,19,0,0.405610," ","integrate(-sec(f*x+e)^2,x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f \cos\left(f x + e\right)}"," ",0,"-sin(f*x + e)/(f*cos(f*x + e))","A",0
32,1,11,0,0.413255," ","integrate(-cos(f*x+e),x, algorithm=""fricas"")","-\frac{\sin\left(f x + e\right)}{f}"," ",0,"-sin(f*x + e)/f","A",0
33,1,17,0,0.415652," ","integrate(cos(f*x+e)^2*(-2+sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\cos\left(f x + e\right) \sin\left(f x + e\right)}{f}"," ",0,"-cos(f*x + e)*sin(f*x + e)/f","A",0
34,1,19,0,0.561777," ","integrate(cos(f*x+e)^3*(-3+2*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\cos\left(f x + e\right)^{2} \sin\left(f x + e\right)}{f}"," ",0,"-cos(f*x + e)^2*sin(f*x + e)/f","A",0
35,1,19,0,0.413149," ","integrate(cos(f*x+e)^4*(-4+3*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\cos\left(f x + e\right)^{3} \sin\left(f x + e\right)}{f}"," ",0,"-cos(f*x + e)^3*sin(f*x + e)/f","A",0
36,1,19,0,0.423681," ","integrate(cos(f*x+e)^5*(-5+4*sec(f*x+e)^2),x, algorithm=""fricas"")","-\frac{\cos\left(f x + e\right)^{4} \sin\left(f x + e\right)}{f}"," ",0,"-cos(f*x + e)^4*sin(f*x + e)/f","A",0
37,1,99,0,0.448015," ","integrate(sec(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{9 \, C \cos\left(d x + c\right)^{4} \log\left(\sin\left(d x + c\right) + 1\right) - 9 \, C \cos\left(d x + c\right)^{4} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 9 \, C \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, C\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)^{4}}"," ",0,"1/48*(9*C*cos(d*x + c)^4*log(sin(d*x + c) + 1) - 9*C*cos(d*x + c)^4*log(-sin(d*x + c) + 1) + 2*(16*B*cos(d*x + c)^3 + 9*C*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*C)*sin(d*x + c))/(d*cos(d*x + c)^4)","A",0
38,1,88,0,0.437260," ","integrate(sec(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, B \cos\left(d x + c\right)^{3} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, B \cos\left(d x + c\right)^{3} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(4 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, C\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)^{3}}"," ",0,"1/12*(3*B*cos(d*x + c)^3*log(sin(d*x + c) + 1) - 3*B*cos(d*x + c)^3*log(-sin(d*x + c) + 1) + 2*(4*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*C)*sin(d*x + c))/(d*cos(d*x + c)^3)","A",0
39,1,74,0,0.429344," ","integrate(sec(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{C \cos\left(d x + c\right)^{2} \log\left(\sin\left(d x + c\right) + 1\right) - C \cos\left(d x + c\right)^{2} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + C\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{2}}"," ",0,"1/4*(C*cos(d*x + c)^2*log(sin(d*x + c) + 1) - C*cos(d*x + c)^2*log(-sin(d*x + c) + 1) + 2*(2*B*cos(d*x + c) + C)*sin(d*x + c))/(d*cos(d*x + c)^2)","A",0
40,1,60,0,0.453152," ","integrate(B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""fricas"")","\frac{B \cos\left(d x + c\right) \log\left(\sin\left(d x + c\right) + 1\right) - B \cos\left(d x + c\right) \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, C \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}"," ",0,"1/2*(B*cos(d*x + c)*log(sin(d*x + c) + 1) - B*cos(d*x + c)*log(-sin(d*x + c) + 1) + 2*C*sin(d*x + c))/(d*cos(d*x + c))","B",0
41,1,36,0,0.440522," ","integrate(cos(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{2 \, B d x + C \log\left(\sin\left(d x + c\right) + 1\right) - C \log\left(-\sin\left(d x + c\right) + 1\right)}{2 \, d}"," ",0,"1/2*(2*B*d*x + C*log(sin(d*x + c) + 1) - C*log(-sin(d*x + c) + 1))/d","B",0
42,1,17,0,0.458125," ","integrate(cos(d*x+c)^2*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{C d x + B \sin\left(d x + c\right)}{d}"," ",0,"(C*d*x + B*sin(d*x + c))/d","A",0
43,1,29,0,0.422020," ","integrate(cos(d*x+c)^3*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{B d x + {\left(B \cos\left(d x + c\right) + 2 \, C\right)} \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(B*d*x + (B*cos(d*x + c) + 2*C)*sin(d*x + c))/d","A",0
44,1,42,0,0.423929," ","integrate(cos(d*x+c)^4*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, C d x + {\left(2 \, B \cos\left(d x + c\right)^{2} + 3 \, C \cos\left(d x + c\right) + 4 \, B\right)} \sin\left(d x + c\right)}{6 \, d}"," ",0,"1/6*(3*C*d*x + (2*B*cos(d*x + c)^2 + 3*C*cos(d*x + c) + 4*B)*sin(d*x + c))/d","A",0
45,1,53,0,0.424843," ","integrate(cos(d*x+c)^5*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{9 \, B d x + {\left(6 \, B \cos\left(d x + c\right)^{3} + 8 \, C \cos\left(d x + c\right)^{2} + 9 \, B \cos\left(d x + c\right) + 16 \, C\right)} \sin\left(d x + c\right)}{24 \, d}"," ",0,"1/24*(9*B*d*x + (6*B*cos(d*x + c)^3 + 8*C*cos(d*x + c)^2 + 9*B*cos(d*x + c) + 16*C)*sin(d*x + c))/d","A",0
46,1,64,0,0.427223," ","integrate(cos(d*x+c)^6*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{45 \, C d x + {\left(24 \, B \cos\left(d x + c\right)^{4} + 30 \, C \cos\left(d x + c\right)^{3} + 32 \, B \cos\left(d x + c\right)^{2} + 45 \, C \cos\left(d x + c\right) + 64 \, B\right)} \sin\left(d x + c\right)}{120 \, d}"," ",0,"1/120*(45*C*d*x + (24*B*cos(d*x + c)^4 + 30*C*cos(d*x + c)^3 + 32*B*cos(d*x + c)^2 + 45*C*cos(d*x + c) + 64*B)*sin(d*x + c))/d","A",0
47,0,0,0,0.435515," ","integrate((b*sec(d*x+c))^(3/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \sec\left(d x + c\right)^{3} + B b \sec\left(d x + c\right)^{2}\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*sec(d*x + c)^3 + B*b*sec(d*x + c)^2)*sqrt(b*sec(d*x + c)), x)","F",0
48,0,0,0,0.459646," ","integrate((b*sec(d*x+c))^(1/2)*(B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\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)}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c))*sqrt(b*sec(d*x + c)), x)","F",0
49,0,0,0,0.432080," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right) + B\right)} \sqrt{b \sec\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*sec(d*x + c) + B)*sqrt(b*sec(d*x + c))/b, x)","F",0
50,0,0,0,0.451674," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right) + B\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{2} \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*sec(d*x + c) + B)*sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)), x)","F",0
51,0,0,0,0.431313," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right) + B\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{3} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*sec(d*x + c) + B)*sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^2), x)","F",0
52,0,0,0,0.427647," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right) + B\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{4} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*sec(d*x + c) + B)*sqrt(b*sec(d*x + c))/(b^4*sec(d*x + c)^3), x)","F",0
53,0,0,0,0.438732," ","integrate((B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \sec\left(d x + c\right) + B\right)} \sqrt{b \sec\left(d x + c\right)}}{b^{5} \sec\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*sec(d*x + c) + B)*sqrt(b*sec(d*x + c))/(b^5*sec(d*x + c)^4), x)","F",0
54,1,122,0,0.451257," ","integrate(sec(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{45 \, B \cos\left(d x + c\right)^{5} \log\left(\sin\left(d x + c\right) + 1\right) - 45 \, B \cos\left(d x + c\right)^{5} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(16 \, {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{4} + 45 \, B \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 30 \, B \cos\left(d x + c\right) + 24 \, C\right)} \sin\left(d x + c\right)}{240 \, d \cos\left(d x + c\right)^{5}}"," ",0,"1/240*(45*B*cos(d*x + c)^5*log(sin(d*x + c) + 1) - 45*B*cos(d*x + c)^5*log(-sin(d*x + c) + 1) + 2*(16*(5*A + 4*C)*cos(d*x + c)^4 + 45*B*cos(d*x + c)^3 + 8*(5*A + 4*C)*cos(d*x + c)^2 + 30*B*cos(d*x + c) + 24*C)*sin(d*x + c))/(d*cos(d*x + c)^5)","A",0
55,1,117,0,0.449509," ","integrate(sec(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, C\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)^{4}}"," ",0,"1/48*(3*(4*A + 3*C)*cos(d*x + c)^4*log(sin(d*x + c) + 1) - 3*(4*A + 3*C)*cos(d*x + c)^4*log(-sin(d*x + c) + 1) + 2*(16*B*cos(d*x + c)^3 + 3*(4*A + 3*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*C)*sin(d*x + c))/(d*cos(d*x + c)^4)","A",0
56,1,94,0,0.425597," ","integrate(sec(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, B \cos\left(d x + c\right)^{3} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, B \cos\left(d x + c\right)^{3} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(2 \, {\left(3 \, A + 2 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, C\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)^{3}}"," ",0,"1/12*(3*B*cos(d*x + c)^3*log(sin(d*x + c) + 1) - 3*B*cos(d*x + c)^3*log(-sin(d*x + c) + 1) + 2*(2*(3*A + 2*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*C)*sin(d*x + c))/(d*cos(d*x + c)^3)","A",0
57,1,82,0,0.427117," ","integrate(sec(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(2 \, A + C\right)} \cos\left(d x + c\right)^{2} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(2 \, A + C\right)} \cos\left(d x + c\right)^{2} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + C\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{2}}"," ",0,"1/4*((2*A + C)*cos(d*x + c)^2*log(sin(d*x + c) + 1) - (2*A + C)*cos(d*x + c)^2*log(-sin(d*x + c) + 1) + 2*(2*B*cos(d*x + c) + C)*sin(d*x + c))/(d*cos(d*x + c)^2)","A",0
58,1,71,0,0.425899," ","integrate(A+B*sec(d*x+c)+C*sec(d*x+c)^2,x, algorithm=""fricas"")","\frac{2 \, A d x \cos\left(d x + c\right) + B \cos\left(d x + c\right) \log\left(\sin\left(d x + c\right) + 1\right) - B \cos\left(d x + c\right) \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, C \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}"," ",0,"1/2*(2*A*d*x*cos(d*x + c) + B*cos(d*x + c)*log(sin(d*x + c) + 1) - B*cos(d*x + c)*log(-sin(d*x + c) + 1) + 2*C*sin(d*x + c))/(d*cos(d*x + c))","B",0
59,1,45,0,0.439264," ","integrate(cos(d*x+c)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{2 \, B d x + C \log\left(\sin\left(d x + c\right) + 1\right) - C \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, A \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(2*B*d*x + C*log(sin(d*x + c) + 1) - C*log(-sin(d*x + c) + 1) + 2*A*sin(d*x + c))/d","A",0
60,1,33,0,0.460821," ","integrate(cos(d*x+c)^2*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(A + 2 \, C\right)} d x + {\left(A \cos\left(d x + c\right) + 2 \, B\right)} \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*((A + 2*C)*d*x + (A*cos(d*x + c) + 2*B)*sin(d*x + c))/d","A",0
61,1,45,0,0.423581," ","integrate(cos(d*x+c)^3*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, B d x + {\left(2 \, A \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 4 \, A + 6 \, C\right)} \sin\left(d x + c\right)}{6 \, d}"," ",0,"1/6*(3*B*d*x + (2*A*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 4*A + 6*C)*sin(d*x + c))/d","A",0
62,1,65,0,0.442244," ","integrate(cos(d*x+c)^4*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, {\left(3 \, A + 4 \, C\right)} d x + {\left(6 \, A \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sin\left(d x + c\right)}{24 \, d}"," ",0,"1/24*(3*(3*A + 4*C)*d*x + (6*A*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(3*A + 4*C)*cos(d*x + c) + 16*B)*sin(d*x + c))/d","A",0
63,1,73,0,0.425368," ","integrate(cos(d*x+c)^5*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{45 \, B d x + {\left(24 \, A \cos\left(d x + c\right)^{4} + 30 \, B \cos\left(d x + c\right)^{3} + 8 \, {\left(4 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{2} + 45 \, B \cos\left(d x + c\right) + 64 \, A + 80 \, C\right)} \sin\left(d x + c\right)}{120 \, d}"," ",0,"1/120*(45*B*d*x + (24*A*cos(d*x + c)^4 + 30*B*cos(d*x + c)^3 + 8*(4*A + 5*C)*cos(d*x + c)^2 + 45*B*cos(d*x + c) + 64*A + 80*C)*sin(d*x + c))/d","A",0
64,1,93,0,0.466540," ","integrate(cos(d*x+c)^6*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","\frac{15 \, {\left(5 \, A + 6 \, C\right)} d x + {\left(40 \, A \cos\left(d x + c\right)^{5} + 48 \, B \cos\left(d x + c\right)^{4} + 10 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{3} + 64 \, B \cos\left(d x + c\right)^{2} + 15 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right) + 128 \, B\right)} \sin\left(d x + c\right)}{240 \, d}"," ",0,"1/240*(15*(5*A + 6*C)*d*x + (40*A*cos(d*x + c)^5 + 48*B*cos(d*x + c)^4 + 10*(5*A + 6*C)*cos(d*x + c)^3 + 64*B*cos(d*x + c)^2 + 15*(5*A + 6*C)*cos(d*x + c) + 128*B)*sin(d*x + c))/d","A",0
65,0,0,0,0.447694," ","integrate((b*sec(d*x+c))^(3/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \sec\left(d x + c\right)^{3} + B b \sec\left(d x + c\right)^{2} + A b \sec\left(d x + c\right)\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*sec(d*x + c)^3 + B*b*sec(d*x + c)^2 + A*b*sec(d*x + c))*sqrt(b*sec(d*x + c)), x)","F",0
66,0,0,0,0.572884," ","integrate((b*sec(d*x+c))^(1/2)*(A+B*sec(d*x+c)+C*sec(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\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)}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c)), x)","F",0
67,0,0,0,0.460205," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\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)}}{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c))/(b*sec(d*x + c)), x)","F",0
68,0,0,0,0.436669," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\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)}}{b^{2} \sec\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)^2), x)","F",0
69,0,0,0,0.441549," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\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)}}{b^{3} \sec\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^3), x)","F",0
70,0,0,0,0.458483," ","integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\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)}}{b^{4} \sec\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*sec(d*x + c)^2 + B*sec(d*x + c) + A)*sqrt(b*sec(d*x + c))/(b^4*sec(d*x + c)^4), x)","F",0
