1,1,80,0,0.481382," ","integrate(cos(d*x+c)^7*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(35 \, C \cos\left(d x + c\right)^{8} + 5 \, {\left(9 \, A + 8 \, C\right)} \cos\left(d x + c\right)^{6} + 6 \, {\left(9 \, A + 8 \, C\right)} \cos\left(d x + c\right)^{4} + 8 \, {\left(9 \, A + 8 \, C\right)} \cos\left(d x + c\right)^{2} + 144 \, A + 128 \, C\right)} \sin\left(d x + c\right)}{315 \, d}"," ",0,"1/315*(35*C*cos(d*x + c)^8 + 5*(9*A + 8*C)*cos(d*x + c)^6 + 6*(9*A + 8*C)*cos(d*x + c)^4 + 8*(9*A + 8*C)*cos(d*x + c)^2 + 144*A + 128*C)*sin(d*x + c)/d","A",0
2,1,63,0,0.457866," ","integrate(cos(d*x+c)^5*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(15 \, C \cos\left(d x + c\right)^{6} + 3 \, {\left(7 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{4} + 4 \, {\left(7 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{2} + 56 \, A + 48 \, C\right)} \sin\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*C*cos(d*x + c)^6 + 3*(7*A + 6*C)*cos(d*x + c)^4 + 4*(7*A + 6*C)*cos(d*x + c)^2 + 56*A + 48*C)*sin(d*x + c)/d","A",0
3,1,45,0,0.506319," ","integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(3 \, C \cos\left(d x + c\right)^{4} + {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 10 \, A + 8 \, C\right)} \sin\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*C*cos(d*x + c)^4 + (5*A + 4*C)*cos(d*x + c)^2 + 10*A + 8*C)*sin(d*x + c)/d","A",0
4,1,28,0,0.397544," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(C \cos\left(d x + c\right)^{2} + 3 \, A + 2 \, C\right)} \sin\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(C*cos(d*x + c)^2 + 3*A + 2*C)*sin(d*x + c)/d","A",0
5,1,40,0,0.453839," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","\frac{A \log\left(\sin\left(d x + c\right) + 1\right) - A \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, C \sin\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(A*log(sin(d*x + c) + 1) - A*log(-sin(d*x + c) + 1) + 2*C*sin(d*x + c))/d","A",0
6,1,72,0,0.482288," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left(A + 2 \, C\right)} \cos\left(d x + c\right)^{2} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(A + 2 \, C\right)} \cos\left(d x + c\right)^{2} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, A \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{2}}"," ",0,"1/4*((A + 2*C)*cos(d*x + c)^2*log(sin(d*x + c) + 1) - (A + 2*C)*cos(d*x + c)^2*log(-sin(d*x + c) + 1) + 2*A*sin(d*x + c))/(d*cos(d*x + c)^2)","A",0
7,1,95,0,0.438474," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(\sin\left(d x + c\right) + 1\right) - {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{4} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{4}}"," ",0,"1/16*((3*A + 4*C)*cos(d*x + c)^4*log(sin(d*x + c) + 1) - (3*A + 4*C)*cos(d*x + c)^4*log(-sin(d*x + c) + 1) + 2*((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sin(d*x + c))/(d*cos(d*x + c)^4)","A",0
8,1,114,0,0.484051," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^7,x, algorithm=""fricas"")","\frac{3 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{6} \log\left(\sin\left(d x + c\right) + 1\right) - 3 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{6} \log\left(-\sin\left(d x + c\right) + 1\right) + 2 \, {\left(3 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{4} + 2 \, {\left(5 \, A + 6 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, A\right)} \sin\left(d x + c\right)}{96 \, d \cos\left(d x + c\right)^{6}}"," ",0,"1/96*(3*(5*A + 6*C)*cos(d*x + c)^6*log(sin(d*x + c) + 1) - 3*(5*A + 6*C)*cos(d*x + c)^6*log(-sin(d*x + c) + 1) + 2*(3*(5*A + 6*C)*cos(d*x + c)^4 + 2*(5*A + 6*C)*cos(d*x + c)^2 + 8*A)*sin(d*x + c))/(d*cos(d*x + c)^6)","A",0
9,1,85,0,0.521951," ","integrate(cos(d*x+c)^6*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{15 \, {\left(8 \, A + 7 \, C\right)} d x + {\left(48 \, C \cos\left(d x + c\right)^{7} + 8 \, {\left(8 \, A + 7 \, C\right)} \cos\left(d x + c\right)^{5} + 10 \, {\left(8 \, A + 7 \, C\right)} \cos\left(d x + c\right)^{3} + 15 \, {\left(8 \, A + 7 \, C\right)} \cos\left(d x + c\right)\right)} \sin\left(d x + c\right)}{384 \, d}"," ",0,"1/384*(15*(8*A + 7*C)*d*x + (48*C*cos(d*x + c)^7 + 8*(8*A + 7*C)*cos(d*x + c)^5 + 10*(8*A + 7*C)*cos(d*x + c)^3 + 15*(8*A + 7*C)*cos(d*x + c))*sin(d*x + c))/d","A",0
10,1,68,0,0.433867," ","integrate(cos(d*x+c)^4*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{3 \, {\left(6 \, A + 5 \, C\right)} d x + {\left(8 \, C \cos\left(d x + c\right)^{5} + 2 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{3} + 3 \, {\left(6 \, A + 5 \, C\right)} \cos\left(d x + c\right)\right)} \sin\left(d x + c\right)}{48 \, d}"," ",0,"1/48*(3*(6*A + 5*C)*d*x + (8*C*cos(d*x + c)^5 + 2*(6*A + 5*C)*cos(d*x + c)^3 + 3*(6*A + 5*C)*cos(d*x + c))*sin(d*x + c))/d","A",0
11,1,49,0,0.430434," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(4 \, A + 3 \, C\right)} d x + {\left(2 \, C \cos\left(d x + c\right)^{3} + {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right)\right)} \sin\left(d x + c\right)}{8 \, d}"," ",0,"1/8*((4*A + 3*C)*d*x + (2*C*cos(d*x + c)^3 + (4*A + 3*C)*cos(d*x + c))*sin(d*x + c))/d","A",0
12,1,31,0,0.457519," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","\frac{C d x \cos\left(d x + c\right) + A \sin\left(d x + c\right)}{d \cos\left(d x + c\right)}"," ",0,"(C*d*x*cos(d*x + c) + A*sin(d*x + c))/(d*cos(d*x + c))","B",0
13,1,37,0,0.478475," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + A\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{3}}"," ",0,"1/3*((2*A + 3*C)*cos(d*x + c)^2 + A)*sin(d*x + c)/(d*cos(d*x + c)^3)","A",0
14,1,56,0,0.462695," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x, algorithm=""fricas"")","\frac{{\left(2 \, {\left(4 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{4} + {\left(4 \, A + 5 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, A\right)} \sin\left(d x + c\right)}{15 \, d \cos\left(d x + c\right)^{5}}"," ",0,"1/15*(2*(4*A + 5*C)*cos(d*x + c)^4 + (4*A + 5*C)*cos(d*x + c)^2 + 3*A)*sin(d*x + c)/(d*cos(d*x + c)^5)","A",0
15,1,74,0,0.405110," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^8,x, algorithm=""fricas"")","\frac{{\left(8 \, {\left(6 \, A + 7 \, C\right)} \cos\left(d x + c\right)^{6} + 4 \, {\left(6 \, A + 7 \, C\right)} \cos\left(d x + c\right)^{4} + 3 \, {\left(6 \, A + 7 \, C\right)} \cos\left(d x + c\right)^{2} + 15 \, A\right)} \sin\left(d x + c\right)}{105 \, d \cos\left(d x + c\right)^{7}}"," ",0,"1/105*(8*(6*A + 7*C)*cos(d*x + c)^6 + 4*(6*A + 7*C)*cos(d*x + c)^4 + 3*(6*A + 7*C)*cos(d*x + c)^2 + 15*A)*sin(d*x + c)/(d*cos(d*x + c)^7)","A",0
16,0,0,0,0.454049," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
17,0,0,0,0.427001," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c)), x)","F",0
18,0,0,0,0.520100," ","integrate((b*cos(d*x+c))^(1/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c)), x)","F",0
19,0,0,0,0.467953," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b*cos(d*x + c)), x)","F",0
20,0,0,0,0.592646," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)^2), x)","F",0
21,0,0,0,0.430098," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^3), x)","F",0
22,0,0,0,0.493320," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{4} \cos\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^4*cos(d*x + c)^4), x)","F",0
23,0,0,0,0.562268," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{5} \cos\left(d x + c\right)^{5}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^5*cos(d*x + c)^5), x)","F",0
24,1,19,0,0.458186," ","integrate((3-5*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \cos\left(d x + c\right)^{\frac{3}{2}} \sin\left(d x + c\right)}{d}"," ",0,"-2*cos(d*x + c)^(3/2)*sin(d*x + c)/d","A",0
25,1,19,0,0.442544," ","integrate((1-3*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d}"," ",0,"-2*sqrt(cos(d*x + c))*sin(d*x + c)/d","A",0
26,0,0,0,0.542659," ","integrate((A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(9/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{4} \cos\left(d x + c\right)^{2} + A b^{4}\right)} \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b^4*cos(d*x + c)^2 + A*b^4)*sqrt(b*sec(d*x + c))*sec(d*x + c)^4, x)","F",0
27,0,0,0,0.456362," ","integrate((A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{3} \cos\left(d x + c\right)^{2} + A b^{3}\right)} \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b^3*cos(d*x + c)^2 + A*b^3)*sqrt(b*sec(d*x + c))*sec(d*x + c)^3, x)","F",0
28,0,0,0,0.533436," ","integrate((A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{2} + A b^{2}\right)} \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^2 + A*b^2)*sqrt(b*sec(d*x + c))*sec(d*x + c)^2, x)","F",0
29,0,0,0,0.458319," ","integrate((A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{2} + A b\right)} \sqrt{b \sec\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b*cos(d*x + c)^2 + A*b)*sqrt(b*sec(d*x + c))*sec(d*x + c), x)","F",0
30,0,0,0,0.666686," ","integrate((A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \sec\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*sec(d*x + c)), x)","F",0
31,0,0,0,0.761342," ","integrate((A+C*cos(d*x+c)^2)/(b*sec(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\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*cos(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b*sec(d*x + c)), x)","F",0
32,0,0,0,0.429629," ","integrate((A+C*cos(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\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*cos(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^2*sec(d*x + c)^2), x)","F",0
33,0,0,0,0.437902," ","integrate((A+C*cos(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\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*cos(d*x + c)^2 + A)*sqrt(b*sec(d*x + c))/(b^3*sec(d*x + c)^3), x)","F",0
34,0,0,0,0.405921," ","integrate((b*cos(d*x+c))^m*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^m, x)","F",0
35,1,33,0,0.439831," ","integrate((b*cos(d*x+c))^m*(-C*(1+m)/(2+m)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{\left(b \cos\left(d x + c\right)\right)^{m} C \cos\left(d x + c\right) \sin\left(d x + c\right)}{d m + 2 \, d}"," ",0,"(b*cos(d*x + c))^m*C*cos(d*x + c)*sin(d*x + c)/(d*m + 2*d)","A",0
36,1,32,0,0.441326," ","integrate((b*cos(d*x+c))^m*(A-A*(2+m)*cos(d*x+c)^2/(1+m)),x, algorithm=""fricas"")","-\frac{\left(b \cos\left(d x + c\right)\right)^{m} A \cos\left(d x + c\right) \sin\left(d x + c\right)}{d m + d}"," ",0,"-(b*cos(d*x + c))^m*A*cos(d*x + c)*sin(d*x + c)/(d*m + d)","A",0
37,0,0,0,0.460778," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
38,0,0,0,0.508759," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*sqrt(b*cos(d*x + c)), x)","F",0
39,0,0,0,0.413532," ","integrate((b*cos(d*x+c))^(1/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c)), x)","F",0
40,0,0,0,0.398454," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
41,0,0,0,0.436425," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
42,0,0,0,0.401538," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
43,0,0,0,0.401649," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
44,0,0,0,0.478664," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^5*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
45,0,0,0,0.501791," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{4} + A b \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^4 + A*b*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
46,0,0,0,0.454336," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c)), x)","F",0
47,0,0,0,0.526921," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
48,0,0,0,0.485433," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
49,0,0,0,0.450808," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
50,0,0,0,0.401657," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
51,0,0,0,0.433972," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
52,0,0,0,0.425817," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^6, x)","F",0
53,0,0,0,0.415636," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
54,0,0,0,0.409287," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
55,0,0,0,0.439408," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
56,0,0,0,0.428859," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
57,0,0,0,0.442896," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
58,0,0,0,0.448662," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
59,0,0,0,0.472044," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^6, x)","F",0
60,0,0,0,0.454525," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^7,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{7}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^7, x)","F",0
61,0,0,0,0.455665," ","integrate(cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{5} + A \cos\left(d x + c\right)^{3}\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^5 + A*cos(d*x + c)^3)*sqrt(b*cos(d*x + c))/b, x)","F",0
62,0,0,0,0.487321," ","integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b, x)","F",0
63,0,0,0,0.644372," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b, x)","F",0
64,0,0,0,0.420209," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/b, x)","F",0
65,0,0,0,0.490519," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b*cos(d*x + c)), x)","F",0
66,0,0,0,0.553748," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
67,0,0,0,0.576198," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
68,0,0,0,0.461605," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
69,0,0,0,0.424699," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4/(b*cos(d*x + c)), x)","F",0
70,0,0,0,0.467006," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^5/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^5/(b*cos(d*x + c)), x)","F",0
71,0,0,0,0.449643," ","integrate(cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b^2, x)","F",0
72,0,0,0,0.559448," ","integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b^2, x)","F",0
73,0,0,0,0.486710," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/b^2, x)","F",0
74,0,0,0,0.500094," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)), x)","F",0
75,0,0,0,0.454935," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)^2), x)","F",0
76,0,0,0,0.449451," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
77,0,0,0,0.450158," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
78,0,0,0,0.460257," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b^2*cos(d*x + c)^2), x)","F",0
79,0,0,0,0.525960," ","integrate(cos(d*x+c)^5*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b^3, x)","F",0
80,0,0,0,0.425385," ","integrate(cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b^3, x)","F",0
81,0,0,0,0.480827," ","integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/b^3, x)","F",0
82,0,0,0,0.410734," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)), x)","F",0
83,0,0,0,0.409526," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^2), x)","F",0
84,0,0,0,0.485851," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^3), x)","F",0
85,0,0,0,0.423373," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^3*cos(d*x + c)^3), x)","F",0
86,0,0,0,0.404128," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^3*cos(d*x + c)^3), x)","F",0
87,0,0,0,0.486659," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{4} \cos\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^4*cos(d*x + c)^4), x)","F",0
88,0,0,0,0.428097," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{5} \cos\left(d x + c\right)^{5}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))/(b^5*cos(d*x + c)^5), x)","F",0
89,1,63,0,0.409106," ","integrate(cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, C \cos\left(d x + c\right)^{4} + {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 10 \, A + 8 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{15 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/15*(3*C*cos(d*x + c)^4 + (5*A + 4*C)*cos(d*x + c)^2 + 10*A + 8*C)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
90,1,200,0,0.528390," ","integrate(cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{16 \, d}, \frac{{\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{8 \, d}\right]"," ",0,"[1/16*(2*(2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + (4*A + 3*C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/d, 1/8*((2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + (4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/d]","A",0
91,1,46,0,0.540299," ","integrate((A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(C \cos\left(d x + c\right)^{2} + 3 \, A + 2 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*cos(d*x + c)^2 + 3*A + 2*C)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
92,1,162,0,0.464231," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, d}, \frac{\sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/d, 1/2*(sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/d]","A",0
93,1,201,0,0.539575," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), -(A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
94,1,185,0,0.470272," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[1/2*(C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), (C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
95,1,213,0,0.512981," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
96,1,47,0,0.432543," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
97,1,255,0,0.463449," ","integrate((A+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
98,1,69,0,0.411905," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\frac{{\left(3 \, C b \cos\left(d x + c\right)^{4} + {\left(5 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 2 \, {\left(5 \, A + 4 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{15 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/15*(3*C*b*cos(d*x + c)^4 + (5*A + 4*C)*b*cos(d*x + c)^2 + 2*(5*A + 4*C)*b)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
99,1,209,0,0.511176," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(4 \, A + 3 \, C\right)} \sqrt{-b} b \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(2 \, C b \cos\left(d x + c\right)^{2} + {\left(4 \, A + 3 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d}, \frac{{\left(4 \, A + 3 \, C\right)} b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) + {\left(2 \, C b \cos\left(d x + c\right)^{2} + {\left(4 \, A + 3 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, d}\right]"," ",0,"[1/16*((4*A + 3*C)*sqrt(-b)*b*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(2*C*b*cos(d*x + c)^2 + (4*A + 3*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d, 1/8*((4*A + 3*C)*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))) + (2*C*b*cos(d*x + c)^2 + (4*A + 3*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d]","A",0
100,1,50,0,0.412245," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{{\left(C b \cos\left(d x + c\right)^{2} + {\left(3 \, A + 2 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*b*cos(d*x + c)^2 + (3*A + 2*C)*b)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
101,1,165,0,0.456396," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{-b} b \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, d}, \frac{\sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(-b)*b*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/d, 1/2*(sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/d]","A",0
102,1,204,0,0.461412," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{A b^{\frac{3}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*b^(3/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), -(A*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
103,1,188,0,0.451884," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{C \sqrt{-b} b \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{C b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[1/2*(C*sqrt(-b)*b*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), (C*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
104,1,216,0,0.506649," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} b^{\frac{3}{2}} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*b^(3/2)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
105,1,50,0,0.410691," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} b \cos\left(d x + c\right)^{2} + A b\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*b*cos(d*x + c)^2 + A*b)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
106,1,260,0,0.534821," ","integrate((b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} b^{\frac{3}{2}} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 2 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 2 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*b^(3/2)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*b*cos(d*x + c)^2 + 2*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*b*cos(d*x + c)^2 + 2*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
107,1,75,0,0.439861," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, C b^{2} \cos\left(d x + c\right)^{4} + {\left(5 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 2 \, {\left(5 \, A + 4 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{15 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/15*(3*C*b^2*cos(d*x + c)^4 + (5*A + 4*C)*b^2*cos(d*x + c)^2 + 2*(5*A + 4*C)*b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
108,1,219,0,0.550102," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(4 \, A + 3 \, C\right)} \sqrt{-b} b^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(2 \, C b^{2} \cos\left(d x + c\right)^{2} + {\left(4 \, A + 3 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d}, \frac{{\left(4 \, A + 3 \, C\right)} b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) + {\left(2 \, C b^{2} \cos\left(d x + c\right)^{2} + {\left(4 \, A + 3 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, d}\right]"," ",0,"[1/16*((4*A + 3*C)*sqrt(-b)*b^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(2*C*b^2*cos(d*x + c)^2 + (4*A + 3*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d, 1/8*((4*A + 3*C)*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))) + (2*C*b^2*cos(d*x + c)^2 + (4*A + 3*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d]","A",0
109,1,54,0,0.411305," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{{\left(C b^{2} \cos\left(d x + c\right)^{2} + {\left(3 \, A + 2 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*b^2*cos(d*x + c)^2 + (3*A + 2*C)*b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
110,1,171,0,0.493691," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{-b} b^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, d}, \frac{\sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(-b)*b^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/d, 1/2*(sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/d]","A",0
111,1,210,0,0.606589," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{A b^{\frac{5}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*b^(5/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), -(A*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
112,1,194,0,0.513753," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{C \sqrt{-b} b^{2} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{C b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[1/2*(C*sqrt(-b)*b^2*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), (C*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
113,1,222,0,0.612028," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} b^{\frac{5}{2}} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*b^(5/2)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
114,1,54,0,0.485375," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*b^2*cos(d*x + c)^2 + A*b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
115,1,270,0,0.544068," ","integrate((b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(15/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} b^{\frac{5}{2}} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 2 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 2 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*b^(5/2)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*b^2*cos(d*x + c)^2 + 2*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*b^2*cos(d*x + c)^2 + 2*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
116,1,207,0,0.516366," ","integrate(cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{16 \, b d}, \frac{{\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{8 \, b d}\right]"," ",0,"[1/16*(2*(2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - (4*A + 3*C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b*d), 1/8*((2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + (4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b*d)]","A",0
117,1,49,0,0.426731," ","integrate(cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(C \cos\left(d x + c\right)^{2} + 3 \, A + 2 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*cos(d*x + c)^2 + 3*A + 2*C)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b*d*sqrt(cos(d*x + c)))","A",0
118,1,169,0,0.515892," ","integrate((A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(2 \, A + C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, b d}, \frac{\sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, b d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) - (2*A + C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b*d), 1/2*(sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b*d)]","A",0
119,1,207,0,0.498174," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)), -(A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c))]","A",0
120,1,191,0,0.499020," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)^{2}}, \frac{C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^2), (C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^2)]","A",0
121,1,219,0,0.526940," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3)]","A",0
122,1,50,0,0.434350," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b*d*cos(d*x + c)^(7/2))","A",0
123,1,261,0,0.773098," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, b d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, b d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5)]","A",0
124,1,207,0,0.681933," ","integrate(cos(d*x+c)^(7/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{16 \, b^{2} d}, \frac{{\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{8 \, b^{2} d}\right]"," ",0,"[1/16*(2*(2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - (4*A + 3*C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b^2*d), 1/8*((2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + (4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b^2*d)]","A",0
125,1,49,0,0.566927," ","integrate(cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(C \cos\left(d x + c\right)^{2} + 3 \, A + 2 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b^{2} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*cos(d*x + c)^2 + 3*A + 2*C)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^2*d*sqrt(cos(d*x + c)))","A",0
126,1,169,0,0.492497," ","integrate(cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(2 \, A + C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, b^{2} d}, \frac{\sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, b^{2} d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) - (2*A + C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b^2*d), 1/2*(sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b^2*d)]","A",0
127,1,207,0,0.460175," ","integrate((A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)), -(A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c))]","A",0
128,1,191,0,0.572691," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)^{2}}, \frac{C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{2} d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^2), (C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^2)]","A",0
129,1,219,0,0.521931," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{2} d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3)]","A",0
130,1,50,0,0.448484," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b^{2} d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^2*d*cos(d*x + c)^(7/2))","A",0
131,1,261,0,0.480484," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, b^{2} d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, b^{2} d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5)]","A",0
132,1,207,0,0.502245," ","integrate(cos(d*x+c)^(9/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{16 \, b^{3} d}, \frac{{\left(2 \, C \cos\left(d x + c\right)^{2} + 4 \, A + 3 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{8 \, b^{3} d}\right]"," ",0,"[1/16*(2*(2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) - (4*A + 3*C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b^3*d), 1/8*((2*C*cos(d*x + c)^2 + 4*A + 3*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + (4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b^3*d)]","A",0
133,1,49,0,0.445807," ","integrate(cos(d*x+c)^(7/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(C \cos\left(d x + c\right)^{2} + 3 \, A + 2 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b^{3} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*(C*cos(d*x + c)^2 + 3*A + 2*C)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^3*d*sqrt(cos(d*x + c)))","A",0
134,1,169,0,0.559198," ","integrate(cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - {\left(2 \, A + C\right)} \sqrt{-b} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right)}{4 \, b^{3} d}, \frac{\sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + {\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right)}{2 \, b^{3} d}\right]"," ",0,"[1/4*(2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) - (2*A + C)*sqrt(-b)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b))/(b^3*d), 1/2*(sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c) + (2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/(b^3*d)]","A",0
135,1,207,0,0.498307," ","integrate(cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)}, -\frac{A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[1/2*(A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)), -(A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c))]","A",0
136,1,191,0,0.481057," ","integrate((A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)^{2}}, \frac{C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{3} d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^2), (C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^2)]","A",0
137,1,219,0,0.513884," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{3} d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3)]","A",0
138,1,50,0,0.427113," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left({\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + A\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{3 \, b^{3} d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*((2*A + 3*C)*cos(d*x + c)^2 + A)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^3*d*cos(d*x + c)^(7/2))","A",0
139,1,261,0,0.488409," ","integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, b^{3} d \cos\left(d x + c\right)^{5}}, -\frac{{\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left({\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{8 \, b^{3} d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/16*((3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5), -1/8*((3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - ((3*A + 4*C)*cos(d*x + c)^2 + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5)]","A",0
140,0,0,0,0.471507," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*(b*cos(d*x + c))^(1/3), x)","F",0
141,0,0,0,0.415490," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^(1/3), x)","F",0
142,0,0,0,0.457568," ","integrate((b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3), x)","F",0
143,0,0,0,0.425157," ","integrate((b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
144,0,0,0,0.429995," ","integrate((b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
145,0,0,0,0.446857," ","integrate((b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^3, x)","F",0
146,0,0,0,0.495093," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*(b*cos(d*x + c))^(2/3), x)","F",0
147,0,0,0,0.557266," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^(2/3), x)","F",0
148,0,0,0,0.542329," ","integrate((b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3), x)","F",0
149,0,0,0,0.450615," ","integrate((b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c), x)","F",0
150,0,0,0,0.463623," ","integrate((b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2, x)","F",0
151,0,0,0,0.988618," ","integrate((b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^3, x)","F",0
152,0,0,0,0.417001," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{5} + A b \cos\left(d x + c\right)^{3}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^5 + A*b*cos(d*x + c)^3)*(b*cos(d*x + c))^(1/3), x)","F",0
153,0,0,0,0.755062," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{4} + A b \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^4 + A*b*cos(d*x + c)^2)*(b*cos(d*x + c))^(1/3), x)","F",0
154,0,0,0,0.463305," ","integrate((b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3), x)","F",0
155,0,0,0,0.444340," ","integrate((b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
156,0,0,0,0.445218," ","integrate((b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
157,0,0,0,0.442388," ","integrate((b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^3, x)","F",0
158,0,0,0,0.432091," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^(2/3)/b, x)","F",0
159,0,0,0,0.441100," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)/b, x)","F",0
160,0,0,0,0.435747," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)/(b*cos(d*x + c)), x)","F",0
161,0,0,0,0.444394," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
162,0,0,0,0.459129," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
163,0,0,0,0.398644," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
164,0,0,0,0.403775," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^(1/3)/b, x)","F",0
165,0,0,0,0.415421," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)/b, x)","F",0
166,0,0,0,0.436720," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)/(b*cos(d*x + c)), x)","F",0
167,0,0,0,0.566417," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
168,0,0,0,0.447921," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
169,0,0,0,0.416651," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{3}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
170,0,0,0,0.413305," ","integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)/b^2, x)","F",0
171,0,0,0,0.444775," ","integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)), x)","F",0
172,0,0,0,0.403306," ","integrate((A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)^2), x)","F",0
173,0,0,0,0.473939," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
174,0,0,0,0.769992," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
175,0,0,0,0.473991," ","integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^3/(b^2*cos(d*x + c)^2), x)","F",0
176,0,0,0,0.450310," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
177,0,0,0,0.432188," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m, x)","F",0
178,0,0,0,0.437558," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
179,0,0,0,0.481490," ","integrate(cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
180,0,0,0,0.459530," ","integrate(cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
181,0,0,0,0.465260," ","integrate(cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b^2*cos(d*x + c)^2), x)","F",0
182,0,0,0,0.460750," ","integrate((a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(a \cos\left(d x + c\right)\right)^{m} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(a*cos(d*x + c))^m*(b*cos(d*x + c))^n, x)","F",0
183,0,0,0,0.440623," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*(b*cos(d*x + c))^n, x)","F",0
184,0,0,0,0.458600," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^n, x)","F",0
185,0,0,0,0.402614," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n, x)","F",0
186,0,0,0,0.407494," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n*sec(d*x + c), x)","F",0
187,0,0,0,0.438251," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n*sec(d*x + c)^2, x)","F",0
188,0,0,0,0.456067," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n*sec(d*x + c)^3, x)","F",0
189,0,0,0,0.546303," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n*sec(d*x + c)^4, x)","F",0
190,0,0,0,0.439707," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + A \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + A*cos(d*x + c)^2)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
191,0,0,0,0.473695," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + A*cos(d*x + c))*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
192,0,0,0,0.499062," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
193,0,0,0,0.431000," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\sqrt{\cos\left(d x + c\right)}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n/sqrt(cos(d*x + c)), x)","F",0
194,0,0,0,0.471416," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(3/2), x)","F",0
195,0,0,0,0.625272," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(5/2), x)","F",0
196,0,0,0,0.681049," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(7/2), x)","F",0
197,0,0,0,0.521368," ","integrate((b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{9}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(9/2), x)","F",0
198,0,0,0,0.455860," ","integrate((a+a*cos(f*x+e))^m*(A+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + A\right)} {\left(a \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + A)*(a*cos(f*x + e) + a)^m, x)","F",0
199,0,0,0,0.409512," ","integrate((a+a*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(a*cos(d*x + c) + a)^(2/3), x)","F",0
200,0,0,0,0.423341," ","integrate((a+a*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(a*cos(d*x + c) + a)^(1/3), x)","F",0
201,0,0,0,0.460558," ","integrate((A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + A}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)/(a*cos(d*x + c) + a)^(1/3), x)","F",0
202,0,0,0,0.441184," ","integrate((A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + A}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)/(a*cos(d*x + c) + a)^(2/3), x)","F",0
203,0,0,0,0.561800," ","integrate((a+b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c) + a)^(2/3), x)","F",0
204,0,0,0,0.461491," ","integrate((a+b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + A\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)*(b*cos(d*x + c) + a)^(1/3), x)","F",0
205,0,0,0,0.500035," ","integrate((A+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + A}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)/(b*cos(d*x + c) + a)^(1/3), x)","F",0
206,0,0,0,0.530112," ","integrate((A+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + A}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + A)/(b*cos(d*x + c) + a)^(2/3), x)","F",0
207,0,0,0,0.487967," ","integrate((a+b*cos(f*x+e))^m*(A-A*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(A \cos\left(f x + e\right)^{2} - A\right)} {\left(b \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral(-(A*cos(f*x + e)^2 - A)*(b*cos(f*x + e) + a)^m, x)","F",0
208,0,0,0,0.597559," ","integrate((a+b*cos(f*x+e))^m*(A+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + A\right)} {\left(b \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + A)*(b*cos(f*x + e) + a)^m, x)","F",0
209,0,0,0,0.456331," ","integrate((a*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right)\right)} \left(a \cos\left(f x + e\right)\right)^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e))*(a*cos(f*x + e))^m, x)","F",0
210,0,0,0,0.453553," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
211,0,0,0,0.433460," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m, x)","F",0
212,0,0,0,0.427681," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
213,0,0,0,0.456749," ","integrate(cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/b, x)","F",0
214,0,0,0,0.430878," ","integrate(cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m/b, x)","F",0
215,0,0,0,0.471038," ","integrate(cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b^2*cos(d*x + c)), x)","F",0
216,0,0,0,0.439338," ","integrate((a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(a \cos\left(d x + c\right)\right)^{m} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(a*cos(d*x + c))^m*(b*cos(d*x + c))^n, x)","F",0
217,0,0,0,0.600940," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3}\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3)*(b*cos(d*x + c))^n, x)","F",0
218,0,0,0,0.415124," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2)*(b*cos(d*x + c))^n, x)","F",0
219,0,0,0,0.449912," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n, x)","F",0
220,0,0,0,0.480324," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n*sec(d*x + c), x)","F",0
221,0,0,0,0.431332," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n*sec(d*x + c)^2, x)","F",0
222,0,0,0,0.437693," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n*sec(d*x + c)^3, x)","F",0
223,0,0,0,0.476487," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n*sec(d*x + c)^4, x)","F",0
224,0,0,0,0.420298," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3}\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
225,0,0,0,0.538905," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
226,0,0,0,0.413386," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
227,0,0,0,0.441420," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
228,0,0,0,0.429456," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\sqrt{\cos\left(d x + c\right)}}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^n/sqrt(cos(d*x + c)), x)","F",0
229,0,0,0,0.482222," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^n/cos(d*x + c)^(3/2), x)","F",0
230,0,0,0,0.465268," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^n/cos(d*x + c)^(5/2), x)","F",0
231,0,0,0,0.421507," ","integrate((b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right) + B\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c) + B)*(b*cos(d*x + c))^n/cos(d*x + c)^(7/2), x)","F",0
232,0,0,0,0.491134," ","integrate((a+a*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right)\right)} {\left(a \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e))*(a*cos(f*x + e) + a)^m, x)","F",0
233,0,0,0,0.448504," ","integrate((a+b*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right)\right)} {\left(b \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e))*(b*cos(f*x + e) + a)^m, x)","F",0
234,0,0,0,0.558185," ","integrate((a+b*cos(d*x+c))^(2/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c) + a)^(2/3), x)","F",0
235,0,0,0,0.479875," ","integrate((a+b*cos(d*x+c))^(1/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))*(b*cos(d*x + c) + a)^(1/3), x)","F",0
236,0,0,0,0.514247," ","integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))/(b*cos(d*x + c) + a)^(1/3), x)","F",0
237,0,0,0,0.451904," ","integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right)}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c))/(b*cos(d*x + c) + a)^(2/3), x)","F",0
238,0,0,0,0.467750," ","integrate((a*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right) + A\right)} \left(a \cos\left(f x + e\right)\right)^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e) + A)*(a*cos(f*x + e))^m, x)","F",0
239,0,0,0,0.454896," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
240,0,0,0,0.446833," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*sqrt(b*cos(d*x + c)), x)","F",0
241,0,0,0,0.432496," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c)), x)","F",0
242,0,0,0,0.470130," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
243,0,0,0,0.458233," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
244,0,0,0,0.450740," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
245,0,0,0,0.579154," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
246,0,0,0,0.553740," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
247,0,0,0,0.655663," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{4} + B b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^4 + B*b*cos(d*x + c)^3 + A*b*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
248,0,0,0,0.606689," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c)), x)","F",0
249,0,0,0,0.575458," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
250,0,0,0,0.830368," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
251,0,0,0,2.058150," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
252,0,0,0,1.014986," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
253,0,0,0,0.518313," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
254,0,0,0,1.442992," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*sqrt(b*cos(d*x + c))*sec(d*x + c)^6, x)","F",0
255,0,0,0,0.672098," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c)), x)","F",0
256,0,0,0,0.850569," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
257,0,0,0,0.720983," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
258,0,0,0,0.659659," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
259,0,0,0,0.585879," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
260,0,0,0,0.687422," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
261,0,0,0,1.547388," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^6, x)","F",0
262,0,0,0,0.674273," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^7,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b^{2} \cos\left(d x + c\right)^{4} + B b^{2} \cos\left(d x + c\right)^{3} + A b^{2} \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{7}, x\right)"," ",0,"integral((C*b^2*cos(d*x + c)^4 + B*b^2*cos(d*x + c)^3 + A*b^2*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))*sec(d*x + c)^7, x)","F",0
263,0,0,0,0.637124," ","integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b, x)","F",0
264,0,0,0,0.682053," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b, x)","F",0
265,0,0,0,0.723341," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/b, x)","F",0
266,0,0,0,0.657144," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b*cos(d*x + c)), x)","F",0
267,0,0,0,1.648459," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
268,0,0,0,0.690927," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
269,0,0,0,0.693170," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
270,0,0,0,0.517239," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^4/(b*cos(d*x + c)), x)","F",0
271,0,0,0,0.762389," ","integrate(cos(d*x+c)^4*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b^2, x)","F",0
272,0,0,0,0.884663," ","integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b^2, x)","F",0
273,0,0,0,0.598544," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/b^2, x)","F",0
274,0,0,0,0.661909," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)), x)","F",0
275,0,0,0,0.744739," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)^2), x)","F",0
276,0,0,0,0.678108," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
277,0,0,0,0.519136," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
278,0,0,0,1.774854," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b^2*cos(d*x + c)^2), x)","F",0
279,0,0,0,0.634535," ","integrate(cos(d*x+c)^5*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)^{2}\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3 + A*cos(d*x + c)^2)*sqrt(b*cos(d*x + c))/b^3, x)","F",0
280,0,0,0,0.696419," ","integrate(cos(d*x+c)^4*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*sqrt(b*cos(d*x + c))/b^3, x)","F",0
281,0,0,0,0.774853," ","integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/b^3, x)","F",0
282,0,0,0,1.511588," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)), x)","F",0
283,0,0,0,0.650283," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^2), x)","F",0
284,0,0,0,0.509122," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^3), x)","F",0
285,0,0,0,0.849417," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^3*cos(d*x + c)^3), x)","F",0
286,0,0,0,1.415172," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^3*cos(d*x + c)^3), x)","F",0
287,0,0,0,0.835647," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)}}{b^{4} \cos\left(d x + c\right)^{4}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))/(b^4*cos(d*x + c)^4), x)","F",0
288,1,292,0,0.852999," ","integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{45 \, B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(24 \, C \cos\left(d x + c\right)^{4} + 30 \, B \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 45 \, B \cos\left(d x + c\right) + 80 \, A + 64 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{240 \, d \cos\left(d x + c\right)}, \frac{45 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(24 \, C \cos\left(d x + c\right)^{4} + 30 \, B \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 45 \, B \cos\left(d x + c\right) + 80 \, A + 64 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{120 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/240*(45*B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(24*C*cos(d*x + c)^4 + 30*B*cos(d*x + c)^3 + 8*(5*A + 4*C)*cos(d*x + c)^2 + 45*B*cos(d*x + c) + 80*A + 64*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/120*(45*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (24*C*cos(d*x + c)^4 + 30*B*cos(d*x + c)^3 + 8*(5*A + 4*C)*cos(d*x + c)^2 + 45*B*cos(d*x + c) + 80*A + 64*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
289,1,276,0,0.814247," ","integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/48*(3*(4*A + 3*C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
290,1,236,0,0.767359," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)}, \frac{3 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/12*(3*B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/6*(3*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
291,1,212,0,0.961666," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, A + C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*((2*A + C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*((2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
292,1,304,0,0.677758," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, \frac{2 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*(2*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
293,1,312,0,0.781589," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} - C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{2 \, C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B \sqrt{b} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 - C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), 1/2*(2*C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*sqrt(b)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
294,1,233,0,0.857468," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
295,1,265,0,0.743840," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{b} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*sqrt(b)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4)]","A",0
296,1,299,0,0.724636," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*(b*cos(d*x+c))^(1/2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
297,1,309,0,0.610164," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","\left[\frac{45 \, B \sqrt{-b} b \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(24 \, C b \cos\left(d x + c\right)^{4} + 30 \, B b \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 45 \, B b \cos\left(d x + c\right) + 16 \, {\left(5 \, A + 4 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{240 \, d \cos\left(d x + c\right)}, \frac{45 \, B b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(24 \, C b \cos\left(d x + c\right)^{4} + 30 \, B b \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 45 \, B b \cos\left(d x + c\right) + 16 \, {\left(5 \, A + 4 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{120 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/240*(45*B*sqrt(-b)*b*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(24*C*b*cos(d*x + c)^4 + 30*B*b*cos(d*x + c)^3 + 8*(5*A + 4*C)*b*cos(d*x + c)^2 + 45*B*b*cos(d*x + c) + 16*(5*A + 4*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/120*(45*B*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (24*C*b*cos(d*x + c)^4 + 30*B*b*cos(d*x + c)^3 + 8*(5*A + 4*C)*b*cos(d*x + c)^2 + 45*B*b*cos(d*x + c) + 16*(5*A + 4*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
298,1,285,0,0.814345," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} b \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(6 \, C b \cos\left(d x + c\right)^{3} + 8 \, B b \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} b \cos\left(d x + c\right) + 16 \, B b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C b \cos\left(d x + c\right)^{3} + 8 \, B b \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} b \cos\left(d x + c\right) + 16 \, B b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/48*(3*(4*A + 3*C)*sqrt(-b)*b*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(6*C*b*cos(d*x + c)^3 + 8*B*b*cos(d*x + c)^2 + 3*(4*A + 3*C)*b*cos(d*x + c) + 16*B*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*b*cos(d*x + c)^3 + 8*B*b*cos(d*x + c)^2 + 3*(4*A + 3*C)*b*cos(d*x + c) + 16*B*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
299,1,249,0,0.607558," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{-b} b \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(2 \, C b \cos\left(d x + c\right)^{2} + 3 \, B b \cos\left(d x + c\right) + 2 \, {\left(3 \, A + 2 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)}, \frac{3 \, B b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C b \cos\left(d x + c\right)^{2} + 3 \, B b \cos\left(d x + c\right) + 2 \, {\left(3 \, A + 2 \, C\right)} b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/12*(3*B*sqrt(-b)*b*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(2*C*b*cos(d*x + c)^2 + 3*B*b*cos(d*x + c) + 2*(3*A + 2*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/6*(3*B*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*b*cos(d*x + c)^2 + 3*B*b*cos(d*x + c) + 2*(3*A + 2*C)*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
300,1,217,0,0.707605," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, A + C\right)} \sqrt{-b} b \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(C b \cos\left(d x + c\right) + 2 \, B b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C b \cos\left(d x + c\right) + 2 \, B b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*((2*A + C)*sqrt(-b)*b*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(C*b*cos(d*x + c) + 2*B*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*((2*A + C)*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*b*cos(d*x + c) + 2*B*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
301,1,308,0,1.581150," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - B \sqrt{-b} b \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, \frac{2 \, B b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A b^{\frac{3}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - B*sqrt(-b)*b*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*(2*B*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*b^(3/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
302,1,316,0,0.969476," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} - C \sqrt{-b} b \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{2 \, C b^{\frac{3}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B b^{\frac{3}{2}} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 - C*sqrt(-b)*b*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), 1/2*(2*C*b^(3/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*b^(3/2)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
303,1,240,0,0.868792," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} b^{\frac{3}{2}} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B b \cos\left(d x + c\right) + A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B b \cos\left(d x + c\right) + A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*b^(3/2)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*b*cos(d*x + c) + A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*b*cos(d*x + c) + A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
304,1,272,0,0.576359," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{3 \, B b^{\frac{3}{2}} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} b \cos\left(d x + c\right)^{2} + 3 \, B b \cos\left(d x + c\right) + 2 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} b \cos\left(d x + c\right)^{2} + 3 \, B b \cos\left(d x + c\right) + 2 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*b^(3/2)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*b*cos(d*x + c)^2 + 3*B*b*cos(d*x + c) + 2*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*b*cos(d*x + c)^2 + 3*B*b*cos(d*x + c) + 2*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4)]","A",0
305,1,308,0,0.779191," ","integrate((b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} b^{\frac{3}{2}} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B b \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 8 \, B b \cos\left(d x + c\right) + 6 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} b \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B b \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} b \cos\left(d x + c\right)^{2} + 8 \, B b \cos\left(d x + c\right) + 6 \, A b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*b^(3/2)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*b*cos(d*x + c)^3 + 3*(3*A + 4*C)*b*cos(d*x + c)^2 + 8*B*b*cos(d*x + c) + 6*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*b*cos(d*x + c)^3 + 3*(3*A + 4*C)*b*cos(d*x + c)^2 + 8*B*b*cos(d*x + c) + 6*A*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
306,1,331,0,0.525539," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{45 \, B \sqrt{-b} b^{2} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(24 \, C b^{2} \cos\left(d x + c\right)^{4} + 30 \, B b^{2} \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 45 \, B b^{2} \cos\left(d x + c\right) + 16 \, {\left(5 \, A + 4 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{240 \, d \cos\left(d x + c\right)}, \frac{45 \, B b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(24 \, C b^{2} \cos\left(d x + c\right)^{4} + 30 \, B b^{2} \cos\left(d x + c\right)^{3} + 8 \, {\left(5 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 45 \, B b^{2} \cos\left(d x + c\right) + 16 \, {\left(5 \, A + 4 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{120 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/240*(45*B*sqrt(-b)*b^2*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(24*C*b^2*cos(d*x + c)^4 + 30*B*b^2*cos(d*x + c)^3 + 8*(5*A + 4*C)*b^2*cos(d*x + c)^2 + 45*B*b^2*cos(d*x + c) + 16*(5*A + 4*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/120*(45*B*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (24*C*b^2*cos(d*x + c)^4 + 30*B*b^2*cos(d*x + c)^3 + 8*(5*A + 4*C)*b^2*cos(d*x + c)^2 + 45*B*b^2*cos(d*x + c) + 16*(5*A + 4*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
307,1,303,0,1.837211," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} b^{2} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(6 \, C b^{2} \cos\left(d x + c\right)^{3} + 8 \, B b^{2} \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} b^{2} \cos\left(d x + c\right) + 16 \, B b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C b^{2} \cos\left(d x + c\right)^{3} + 8 \, B b^{2} \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} b^{2} \cos\left(d x + c\right) + 16 \, B b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/48*(3*(4*A + 3*C)*sqrt(-b)*b^2*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(6*C*b^2*cos(d*x + c)^3 + 8*B*b^2*cos(d*x + c)^2 + 3*(4*A + 3*C)*b^2*cos(d*x + c) + 16*B*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*b^2*cos(d*x + c)^3 + 8*B*b^2*cos(d*x + c)^2 + 3*(4*A + 3*C)*b^2*cos(d*x + c) + 16*B*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
308,1,263,0,1.257482," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{-b} b^{2} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(2 \, C b^{2} \cos\left(d x + c\right)^{2} + 3 \, B b^{2} \cos\left(d x + c\right) + 2 \, {\left(3 \, A + 2 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)}, \frac{3 \, B b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C b^{2} \cos\left(d x + c\right)^{2} + 3 \, B b^{2} \cos\left(d x + c\right) + 2 \, {\left(3 \, A + 2 \, C\right)} b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/12*(3*B*sqrt(-b)*b^2*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(2*C*b^2*cos(d*x + c)^2 + 3*B*b^2*cos(d*x + c) + 2*(3*A + 2*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/6*(3*B*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*b^2*cos(d*x + c)^2 + 3*B*b^2*cos(d*x + c) + 2*(3*A + 2*C)*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
309,1,227,0,0.715472," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(2 \, A + C\right)} \sqrt{-b} b^{2} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) + 2 \, {\left(C b^{2} \cos\left(d x + c\right) + 2 \, B b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C b^{2} \cos\left(d x + c\right) + 2 \, B b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[1/4*((2*A + C)*sqrt(-b)*b^2*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) + 2*(C*b^2*cos(d*x + c) + 2*B*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*((2*A + C)*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*b^2*cos(d*x + c) + 2*B*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
310,1,316,0,1.002252," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) - B \sqrt{-b} b^{2} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}, \frac{2 \, B b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A b^{\frac{5}{2}} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) - B*sqrt(-b)*b^2*cos(d*x + c)*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)), 1/2*(2*B*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*b^(5/2)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c))]","A",0
311,1,324,0,1.023031," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} - C \sqrt{-b} b^{2} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}, \frac{2 \, C b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B b^{\frac{5}{2}} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 - C*sqrt(-b)*b^2*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 - 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2), 1/2*(2*C*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*b^(5/2)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^2)]","A",0
312,1,250,0,0.718931," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} b^{\frac{5}{2}} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B b^{2} \cos\left(d x + c\right) + A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B b^{2} \cos\left(d x + c\right) + A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*b^(5/2)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*b^2*cos(d*x + c) + A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*b^2*cos(d*x + c) + A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
313,1,286,0,0.680218," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\left[\frac{3 \, B b^{\frac{5}{2}} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 3 \, B b^{2} \cos\left(d x + c\right) + 2 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 3 \, B b^{2} \cos\left(d x + c\right) + 2 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*b^(5/2)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*b^2*cos(d*x + c)^2 + 3*B*b^2*cos(d*x + c) + 2*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*b^2*cos(d*x + c)^2 + 3*B*b^2*cos(d*x + c) + 2*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^4)]","A",0
314,1,326,0,0.720963," ","integrate((b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(15/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} b^{\frac{5}{2}} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B b^{2} \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 8 \, B b^{2} \cos\left(d x + c\right) + 6 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} b^{2} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B b^{2} \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} b^{2} \cos\left(d x + c\right)^{2} + 8 \, B b^{2} \cos\left(d x + c\right) + 6 \, A b^{2}\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*b^(5/2)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*b^2*cos(d*x + c)^3 + 3*(3*A + 4*C)*b^2*cos(d*x + c)^2 + 8*B*b^2*cos(d*x + c) + 6*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*b^2*cos(d*x + c)^3 + 3*(3*A + 4*C)*b^2*cos(d*x + c)^2 + 8*B*b^2*cos(d*x + c) + 6*A*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
315,1,282,0,0.632880," ","integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b d \cos\left(d x + c\right)}\right]"," ",0,"[-1/48*(3*(4*A + 3*C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c))]","A",0
316,1,242,0,1.719204," ","integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{3 \, B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b d \cos\left(d x + c\right)}, \frac{3 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b d \cos\left(d x + c\right)}\right]"," ",0,"[-1/12*(3*B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)), 1/6*(3*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c))]","A",0
317,1,218,0,0.655172," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, A + C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)}\right]"," ",0,"[-1/4*((2*A + C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)), 1/2*((2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c))]","A",0
318,1,309,0,1.640905," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) + B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)}, \frac{2 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) + B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)), 1/2*(2*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c))]","A",0
319,1,317,0,1.207790," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} + C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)^{2}}, \frac{2 \, C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B \sqrt{b} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 + C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^2), 1/2*(2*C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*sqrt(b)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^2)]","A",0
320,1,239,0,0.737788," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3)]","A",0
321,1,271,0,0.741077," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{b} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*sqrt(b)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^4)]","A",0
322,1,305,0,0.602227," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5)]","A",0
323,1,282,0,1.425372," ","integrate(cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b^{2} d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/48*(3*(4*A + 3*C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c))]","A",0
324,1,242,0,1.708421," ","integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{3 \, B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b^{2} d \cos\left(d x + c\right)}, \frac{3 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/12*(3*B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)), 1/6*(3*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c))]","A",0
325,1,218,0,0.715351," ","integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, A + C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{2} d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/4*((2*A + C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)), 1/2*((2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c))]","A",0
326,1,309,0,0.727476," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) + B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)}, \frac{2 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) + B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)), 1/2*(2*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c))]","A",0
327,1,317,0,0.858001," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} + C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)^{2}}, \frac{2 \, C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B \sqrt{b} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 + C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^2), 1/2*(2*C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*sqrt(b)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^2)]","A",0
328,1,239,0,0.628519," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{2} d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{2} d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3)]","A",0
329,1,271,0,0.816055," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{b} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b^{2} d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b^{2} d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*sqrt(b)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^4)]","A",0
330,1,305,0,0.577961," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b^{2} d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b^{2} d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5)]","A",0
331,1,282,0,0.651831," ","integrate(cos(d*x+c)^(9/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b^{3} d \cos\left(d x + c\right)}, \frac{3 \, {\left(4 \, A + 3 \, C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(6 \, C \cos\left(d x + c\right)^{3} + 8 \, B \cos\left(d x + c\right)^{2} + 3 \, {\left(4 \, A + 3 \, C\right)} \cos\left(d x + c\right) + 16 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/48*(3*(4*A + 3*C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)), 1/24*(3*(4*A + 3*C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (6*C*cos(d*x + c)^3 + 8*B*cos(d*x + c)^2 + 3*(4*A + 3*C)*cos(d*x + c) + 16*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c))]","A",0
332,1,242,0,0.694422," ","integrate(cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{3 \, B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b^{3} d \cos\left(d x + c\right)}, \frac{3 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(2 \, C \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 6 \, A + 4 \, C\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/12*(3*B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)), 1/6*(3*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (2*C*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 6*A + 4*C)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c))]","A",0
333,1,218,0,1.290289," ","integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, A + C\right)} \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{3} d \cos\left(d x + c\right)}, \frac{{\left(2 \, A + C\right)} \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + {\left(C \cos\left(d x + c\right) + 2 \, B\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/4*((2*A + C)*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*(C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)), 1/2*((2*A + C)*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + (C*cos(d*x + c) + 2*B)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c))]","A",0
334,1,309,0,1.503330," ","integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, A \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right) + B \sqrt{-b} \cos\left(d x + c\right) \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)}, \frac{2 \, B \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right) + A \sqrt{b} \cos\left(d x + c\right) \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} C \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)}\right]"," ",0,"[-1/2*(2*A*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c) + B*sqrt(-b)*cos(d*x + c)*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)), 1/2*(2*B*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c) + A*sqrt(b)*cos(d*x + c)*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*C*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c))]","A",0
335,1,317,0,0.749717," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{2 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{2} + C \sqrt{-b} \cos\left(d x + c\right)^{2} \log\left(2 \, b \cos\left(d x + c\right)^{2} + 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - b\right) - 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)^{2}}, \frac{2 \, C \sqrt{b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{\sqrt{b} \cos\left(d x + c\right)^{\frac{3}{2}}}\right) \cos\left(d x + c\right)^{2} + B \sqrt{b} \cos\left(d x + c\right)^{2} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, \sqrt{b \cos\left(d x + c\right)} A \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)^{2}}\right]"," ",0,"[-1/2*(2*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^2 + C*sqrt(-b)*cos(d*x + c)^2*log(2*b*cos(d*x + c)^2 + 2*sqrt(b*cos(d*x + c))*sqrt(-b)*sqrt(cos(d*x + c))*sin(d*x + c) - b) - 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^2), 1/2*(2*C*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))*cos(d*x + c)^2 + B*sqrt(b)*cos(d*x + c)^2*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*sqrt(b*cos(d*x + c))*A*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^2)]","A",0
336,1,239,0,0.609352," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{{\left(A + 2 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{3} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b^{3} d \cos\left(d x + c\right)^{3}}, -\frac{{\left(A + 2 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{3} - {\left(2 \, B \cos\left(d x + c\right) + A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{2 \, b^{3} d \cos\left(d x + c\right)^{3}}\right]"," ",0,"[1/4*((A + 2*C)*sqrt(b)*cos(d*x + c)^3*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3), -1/2*((A + 2*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^3 - (2*B*cos(d*x + c) + A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3)]","A",0
337,1,271,0,1.738992," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, B \sqrt{b} \cos\left(d x + c\right)^{4} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{12 \, b^{3} d \cos\left(d x + c\right)^{4}}, -\frac{3 \, B \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{4} - {\left(2 \, {\left(2 \, A + 3 \, C\right)} \cos\left(d x + c\right)^{2} + 3 \, B \cos\left(d x + c\right) + 2 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{6 \, b^{3} d \cos\left(d x + c\right)^{4}}\right]"," ",0,"[1/12*(3*B*sqrt(b)*cos(d*x + c)^4*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^4), -1/6*(3*B*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^4 - (2*(2*A + 3*C)*cos(d*x + c)^2 + 3*B*cos(d*x + c) + 2*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^4)]","A",0
338,1,305,0,1.573271," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{b} \cos\left(d x + c\right)^{5} \log\left(-\frac{b \cos\left(d x + c\right)^{3} - 2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{b} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 2 \, b \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{3}}\right) + 2 \, {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{48 \, b^{3} d \cos\left(d x + c\right)^{5}}, -\frac{3 \, {\left(3 \, A + 4 \, C\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sqrt{-b} \sin\left(d x + c\right)}{b \sqrt{\cos\left(d x + c\right)}}\right) \cos\left(d x + c\right)^{5} - {\left(16 \, B \cos\left(d x + c\right)^{3} + 3 \, {\left(3 \, A + 4 \, C\right)} \cos\left(d x + c\right)^{2} + 8 \, B \cos\left(d x + c\right) + 6 \, A\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{24 \, b^{3} d \cos\left(d x + c\right)^{5}}\right]"," ",0,"[1/48*(3*(3*A + 4*C)*sqrt(b)*cos(d*x + c)^5*log(-(b*cos(d*x + c)^3 - 2*sqrt(b*cos(d*x + c))*sqrt(b)*sqrt(cos(d*x + c))*sin(d*x + c) - 2*b*cos(d*x + c))/cos(d*x + c)^3) + 2*(16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5), -1/24*(3*(3*A + 4*C)*sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))*cos(d*x + c)^5 - (16*B*cos(d*x + c)^3 + 3*(3*A + 4*C)*cos(d*x + c)^2 + 8*B*cos(d*x + c) + 6*A)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5)]","A",0
339,0,0,0,1.764637," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*(b*cos(d*x + c))^(2/3), x)","F",0
340,0,0,0,0.560406," ","integrate((b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3), x)","F",0
341,0,0,0,0.577192," ","integrate((b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c), x)","F",0
342,0,0,0,0.808586," ","integrate((b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2, x)","F",0
343,0,0,0,1.445082," ","integrate((b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^3, x)","F",0
344,0,0,0,0.675858," ","integrate((b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^4, x)","F",0
345,0,0,0,1.075478," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{4} + B b \cos\left(d x + c\right)^{3} + A b \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^4 + B*b*cos(d*x + c)^3 + A*b*cos(d*x + c)^2)*(b*cos(d*x + c))^(1/3), x)","F",0
346,0,0,0,0.768008," ","integrate((b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3), x)","F",0
347,0,0,0,0.885762," ","integrate((b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
348,0,0,0,0.632163," ","integrate((b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
349,0,0,0,0.717220," ","integrate((b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^3, x)","F",0
350,0,0,0,1.455018," ","integrate((b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*sec(d*x + c)^4, x)","F",0
351,0,0,0,1.293235," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*(b*cos(d*x + c))^(2/3)/b, x)","F",0
352,0,0,0,0.874664," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)/b, x)","F",0
353,0,0,0,1.339302," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)/(b*cos(d*x + c)), x)","F",0
354,0,0,0,1.110290," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
355,0,0,0,0.627542," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
356,0,0,0,0.691607," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
357,0,0,0,0.894049," ","integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*(b*cos(d*x + c))^(2/3)/b^2, x)","F",0
358,0,0,0,0.751201," ","integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)/b^2, x)","F",0
359,0,0,0,0.554111," ","integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)), x)","F",0
360,0,0,0,0.698977," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)^2), x)","F",0
361,0,0,0,1.106736," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
362,0,0,0,1.117927," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
363,0,0,0,0.666737," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C b \cos\left(d x + c\right)^{3} + B b \cos\left(d x + c\right)^{2} + A b \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*b*cos(d*x + c)^3 + B*b*cos(d*x + c)^2 + A*b*cos(d*x + c))*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
364,0,0,0,0.869162," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m, x)","F",0
365,0,0,0,1.378032," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
366,0,0,0,1.453416," ","integrate(cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
367,0,0,0,1.355889," ","integrate(cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(1/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
368,0,0,0,1.328788," ","integrate(cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b^2*cos(d*x + c)^2), x)","F",0
369,0,0,0,1.461282," ","integrate((a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(a \cos\left(d x + c\right)\right)^{m} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(a*cos(d*x + c))^m*(b*cos(d*x + c))^n, x)","F",0
370,0,0,0,0.991886," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{4} + B \cos\left(d x + c\right)^{3} + A \cos\left(d x + c\right)^{2}\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^4 + B*cos(d*x + c)^3 + A*cos(d*x + c)^2)*(b*cos(d*x + c))^n, x)","F",0
371,0,0,0,1.348850," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*(b*cos(d*x + c))^n, x)","F",0
372,0,0,0,0.470270," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n, x)","F",0
373,0,0,0,0.967875," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right), x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n*sec(d*x + c), x)","F",0
374,0,0,0,1.309025," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n*sec(d*x + c)^2, x)","F",0
375,0,0,0,0.720468," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n*sec(d*x + c)^3, x)","F",0
376,0,0,0,2.967111," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n*sec(d*x + c)^4, x)","F",0
377,0,0,0,1.450353," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{3} + B \cos\left(d x + c\right)^{2} + A \cos\left(d x + c\right)\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^3 + B*cos(d*x + c)^2 + A*cos(d*x + c))*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
378,0,0,0,2.485248," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
379,0,0,0,0.856057," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\sqrt{\cos\left(d x + c\right)}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n/sqrt(cos(d*x + c)), x)","F",0
380,0,0,0,0.859858," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(3/2), x)","F",0
381,0,0,0,0.767816," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(5/2), x)","F",0
382,0,0,0,0.759768," ","integrate((b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} \left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c))^n/cos(d*x + c)^(7/2), x)","F",0
383,0,0,0,2.064445," ","integrate((a+a*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right) + A\right)} {\left(a \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e) + A)*(a*cos(f*x + e) + a)^m, x)","F",0
384,0,0,0,1.250903," ","integrate((a+a*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(a*cos(d*x + c) + a)^(2/3), x)","F",0
385,0,0,0,2.957506," ","integrate((a+a*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} {\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(a*cos(d*x + c) + a)^(1/3), x)","F",0
386,0,0,0,2.161616," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)/(a*cos(d*x + c) + a)^(1/3), x)","F",0
387,0,0,0,0.496976," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A}{{\left(a \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)/(a*cos(d*x + c) + a)^(2/3), x)","F",0
388,0,0,0,0.817534," ","integrate((a+b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c) + a)^(2/3), x)","F",0
389,0,0,0,0.749860," ","integrate((a+b*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A\right)} {\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)*(b*cos(d*x + c) + a)^(1/3), x)","F",0
390,0,0,0,0.737444," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)/(b*cos(d*x + c) + a)^(1/3), x)","F",0
391,0,0,0,0.611268," ","integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{C \cos\left(d x + c\right)^{2} + B \cos\left(d x + c\right) + A}{{\left(b \cos\left(d x + c\right) + a\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((C*cos(d*x + c)^2 + B*cos(d*x + c) + A)/(b*cos(d*x + c) + a)^(2/3), x)","F",0
392,0,0,0,0.688565," ","integrate((a+b*cos(f*x+e))^m*(A+(A+C)*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + {\left(A + C\right)} \cos\left(f x + e\right) + A\right)} {\left(b \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + (A + C)*cos(f*x + e) + A)*(b*cos(f*x + e) + a)^m, x)","F",0
393,0,0,0,0.691350," ","integrate((a+b*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x, algorithm=""fricas"")","{\rm integral}\left({\left(C \cos\left(f x + e\right)^{2} + B \cos\left(f x + e\right) + A\right)} {\left(b \cos\left(f x + e\right) + a\right)}^{m}, x\right)"," ",0,"integral((C*cos(f*x + e)^2 + B*cos(f*x + e) + A)*(b*cos(f*x + e) + a)^m, x)","F",0
