1,1,10,0,0.401735," ","integrate(cos(b*x+a),x, algorithm=""fricas"")","\frac{\sin\left(b x + a\right)}{b}"," ",0,"sin(b*x + a)/b","A",0
2,1,22,0,0.427882," ","integrate(cos(b*x+a)^2,x, algorithm=""fricas"")","\frac{b x + \cos\left(b x + a\right) \sin\left(b x + a\right)}{2 \, b}"," ",0,"1/2*(b*x + cos(b*x + a)*sin(b*x + a))/b","A",0
3,1,21,0,0.420645," ","integrate(cos(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(\cos\left(b x + a\right)^{2} + 2\right)} \sin\left(b x + a\right)}{3 \, b}"," ",0,"1/3*(cos(b*x + a)^2 + 2)*sin(b*x + a)/b","A",0
4,1,36,0,0.413041," ","integrate(cos(b*x+a)^4,x, algorithm=""fricas"")","\frac{3 \, b x + {\left(2 \, \cos\left(b x + a\right)^{3} + 3 \, \cos\left(b x + a\right)\right)} \sin\left(b x + a\right)}{8 \, b}"," ",0,"1/8*(3*b*x + (2*cos(b*x + a)^3 + 3*cos(b*x + a))*sin(b*x + a))/b","A",0
5,1,33,0,0.399451," ","integrate(cos(b*x+a)^5,x, algorithm=""fricas"")","\frac{{\left(3 \, \cos\left(b x + a\right)^{4} + 4 \, \cos\left(b x + a\right)^{2} + 8\right)} \sin\left(b x + a\right)}{15 \, b}"," ",0,"1/15*(3*cos(b*x + a)^4 + 4*cos(b*x + a)^2 + 8)*sin(b*x + a)/b","A",0
6,1,46,0,0.422613," ","integrate(cos(b*x+a)^6,x, algorithm=""fricas"")","\frac{15 \, b x + {\left(8 \, \cos\left(b x + a\right)^{5} + 10 \, \cos\left(b x + a\right)^{3} + 15 \, \cos\left(b x + a\right)\right)} \sin\left(b x + a\right)}{48 \, b}"," ",0,"1/48*(15*b*x + (8*cos(b*x + a)^5 + 10*cos(b*x + a)^3 + 15*cos(b*x + a))*sin(b*x + a))/b","A",0
7,1,43,0,0.412370," ","integrate(cos(b*x+a)^7,x, algorithm=""fricas"")","\frac{{\left(5 \, \cos\left(b x + a\right)^{6} + 6 \, \cos\left(b x + a\right)^{4} + 8 \, \cos\left(b x + a\right)^{2} + 16\right)} \sin\left(b x + a\right)}{35 \, b}"," ",0,"1/35*(5*cos(b*x + a)^6 + 6*cos(b*x + a)^4 + 8*cos(b*x + a)^2 + 16)*sin(b*x + a)/b","A",0
8,1,56,0,0.405126," ","integrate(cos(b*x+a)^8,x, algorithm=""fricas"")","\frac{105 \, b x + {\left(48 \, \cos\left(b x + a\right)^{7} + 56 \, \cos\left(b x + a\right)^{5} + 70 \, \cos\left(b x + a\right)^{3} + 105 \, \cos\left(b x + a\right)\right)} \sin\left(b x + a\right)}{384 \, b}"," ",0,"1/384*(105*b*x + (48*cos(b*x + a)^7 + 56*cos(b*x + a)^5 + 70*cos(b*x + a)^3 + 105*cos(b*x + a))*sin(b*x + a))/b","A",0
9,0,0,0,0.413630," ","integrate(cos(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{7}{2}}, x\right)"," ",0,"integral(cos(b*x + a)^(7/2), x)","F",0
10,0,0,0,0.404508," ","integrate(cos(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{5}{2}}, x\right)"," ",0,"integral(cos(b*x + a)^(5/2), x)","F",0
11,0,0,0,0.413010," ","integrate(cos(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{3}{2}}, x\right)"," ",0,"integral(cos(b*x + a)^(3/2), x)","F",0
12,0,0,0,0.418058," ","integrate(cos(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\cos\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(cos(b*x + a)), x)","F",0
13,0,0,0,0.390553," ","integrate(1/cos(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{\cos\left(b x + a\right)}}, x\right)"," ",0,"integral(1/sqrt(cos(b*x + a)), x)","F",0
14,0,0,0,0.420570," ","integrate(1/cos(b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-3/2), x)","F",0
15,0,0,0,0.410647," ","integrate(1/cos(b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-5/2), x)","F",0
16,0,0,0,0.404690," ","integrate(1/cos(b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-7/2), x)","F",0
17,0,0,0,0.414304," ","integrate((c*cos(b*x+a))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \cos\left(b x + a\right)} c^{3} \cos\left(b x + a\right)^{3}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))*c^3*cos(b*x + a)^3, x)","F",0
18,0,0,0,0.415751," ","integrate((c*cos(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \cos\left(b x + a\right)} c^{2} \cos\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))*c^2*cos(b*x + a)^2, x)","F",0
19,0,0,0,0.453409," ","integrate((c*cos(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \cos\left(b x + a\right)} c \cos\left(b x + a\right), x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))*c*cos(b*x + a), x)","F",0
20,0,0,0,0.466617," ","integrate((c*cos(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c \cos\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a)), x)","F",0
21,0,0,0,0.485719," ","integrate(1/(c*cos(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \cos\left(b x + a\right)}}{c \cos\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))/(c*cos(b*x + a)), x)","F",0
22,0,0,0,0.519833," ","integrate(1/(c*cos(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \cos\left(b x + a\right)}}{c^{2} \cos\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))/(c^2*cos(b*x + a)^2), x)","F",0
23,0,0,0,0.547265," ","integrate(1/(c*cos(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \cos\left(b x + a\right)}}{c^{3} \cos\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))/(c^3*cos(b*x + a)^3), x)","F",0
24,0,0,0,0.495306," ","integrate(1/(c*cos(b*x+a))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c \cos\left(b x + a\right)}}{c^{4} \cos\left(b x + a\right)^{4}}, x\right)"," ",0,"integral(sqrt(c*cos(b*x + a))/(c^4*cos(b*x + a)^4), x)","F",0
25,0,0,0,0.414781," ","integrate(cos(b*x+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{4}{3}}, x\right)"," ",0,"integral(cos(b*x + a)^(4/3), x)","F",0
26,0,0,0,0.423578," ","integrate(cos(b*x+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{2}{3}}, x\right)"," ",0,"integral(cos(b*x + a)^(2/3), x)","F",0
27,0,0,0,0.479577," ","integrate(cos(b*x+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{\frac{1}{3}}, x\right)"," ",0,"integral(cos(b*x + a)^(1/3), x)","F",0
28,0,0,0,0.411282," ","integrate(1/cos(b*x+a)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{1}{3}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-1/3), x)","F",0
29,0,0,0,0.414136," ","integrate(1/cos(b*x+a)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{2}{3}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-2/3), x)","F",0
30,0,0,0,0.422421," ","integrate(1/cos(b*x+a)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\cos\left(b x + a\right)^{\frac{4}{3}}}, x\right)"," ",0,"integral(cos(b*x + a)^(-4/3), x)","F",0
31,0,0,0,0.409374," ","integrate((c*cos(b*x+a))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \cos\left(b x + a\right)\right)^{\frac{1}{3}} c \cos\left(b x + a\right), x\right)"," ",0,"integral((c*cos(b*x + a))^(1/3)*c*cos(b*x + a), x)","F",0
32,0,0,0,0.393546," ","integrate((c*cos(b*x+a))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \cos\left(b x + a\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((c*cos(b*x + a))^(2/3), x)","F",0
33,0,0,0,0.405716," ","integrate((c*cos(b*x+a))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(c \cos\left(b x + a\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((c*cos(b*x + a))^(1/3), x)","F",0
34,0,0,0,0.398102," ","integrate(1/(c*cos(b*x+a))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \cos\left(b x + a\right)\right)^{\frac{2}{3}}}{c \cos\left(b x + a\right)}, x\right)"," ",0,"integral((c*cos(b*x + a))^(2/3)/(c*cos(b*x + a)), x)","F",0
35,0,0,0,0.403211," ","integrate(1/(c*cos(b*x+a))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \cos\left(b x + a\right)\right)^{\frac{1}{3}}}{c \cos\left(b x + a\right)}, x\right)"," ",0,"integral((c*cos(b*x + a))^(1/3)/(c*cos(b*x + a)), x)","F",0
36,0,0,0,0.391546," ","integrate(1/(c*cos(b*x+a))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(c \cos\left(b x + a\right)\right)^{\frac{2}{3}}}{c^{2} \cos\left(b x + a\right)^{2}}, x\right)"," ",0,"integral((c*cos(b*x + a))^(2/3)/(c^2*cos(b*x + a)^2), x)","F",0
37,0,0,0,0.413997," ","integrate(cos(b*x+a)^n,x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{n}, x\right)"," ",0,"integral(cos(b*x + a)^n, x)","F",0
38,0,0,0,0.433794," ","integrate((c*cos(b*x+a))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(c \cos\left(b x + a\right)\right)^{n}, x\right)"," ",0,"integral((c*cos(b*x + a))^n, x)","F",0
39,1,40,0,0.416963," ","integrate((a*cos(x)^2)^(5/2),x, algorithm=""fricas"")","\frac{{\left(3 \, a^{2} \cos\left(x\right)^{4} + 4 \, a^{2} \cos\left(x\right)^{2} + 8 \, a^{2}\right)} \sqrt{a \cos\left(x\right)^{2}} \sin\left(x\right)}{15 \, \cos\left(x\right)}"," ",0,"1/15*(3*a^2*cos(x)^4 + 4*a^2*cos(x)^2 + 8*a^2)*sqrt(a*cos(x)^2)*sin(x)/cos(x)","A",0
40,1,26,0,0.417864," ","integrate((a*cos(x)^2)^(3/2),x, algorithm=""fricas"")","\frac{{\left(a \cos\left(x\right)^{2} + 2 \, a\right)} \sqrt{a \cos\left(x\right)^{2}} \sin\left(x\right)}{3 \, \cos\left(x\right)}"," ",0,"1/3*(a*cos(x)^2 + 2*a)*sqrt(a*cos(x)^2)*sin(x)/cos(x)","A",0
41,1,15,0,0.406907," ","integrate((a*cos(x)^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{2}} \sin\left(x\right)}{\cos\left(x\right)}"," ",0,"sqrt(a*cos(x)^2)*sin(x)/cos(x)","A",0
42,1,65,0,0.452224," ","integrate(1/(a*cos(x)^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{a \cos\left(x\right)^{2}} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right)}{2 \, a \cos\left(x\right)}, -\frac{\sqrt{-a} \arctan\left(\frac{\sqrt{a \cos\left(x\right)^{2}} \sqrt{-a} \sin\left(x\right)}{a \cos\left(x\right)}\right)}{a}\right]"," ",0,"[-1/2*sqrt(a*cos(x)^2)*log(-(sin(x) - 1)/(sin(x) + 1))/(a*cos(x)), -sqrt(-a)*arctan(sqrt(a*cos(x)^2)*sqrt(-a)*sin(x)/(a*cos(x)))/a]","B",0
43,1,40,0,0.418316," ","integrate(1/(a*cos(x)^2)^(3/2),x, algorithm=""fricas"")","-\frac{\sqrt{a \cos\left(x\right)^{2}} {\left(\cos\left(x\right)^{2} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right) - 2 \, \sin\left(x\right)\right)}}{4 \, a^{2} \cos\left(x\right)^{3}}"," ",0,"-1/4*sqrt(a*cos(x)^2)*(cos(x)^2*log(-(sin(x) - 1)/(sin(x) + 1)) - 2*sin(x))/(a^2*cos(x)^3)","A",0
44,1,49,0,0.473240," ","integrate(1/(a*cos(x)^2)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(3 \, \cos\left(x\right)^{4} \log\left(-\frac{\sin\left(x\right) - 1}{\sin\left(x\right) + 1}\right) - 2 \, {\left(3 \, \cos\left(x\right)^{2} + 2\right)} \sin\left(x\right)\right)} \sqrt{a \cos\left(x\right)^{2}}}{16 \, a^{3} \cos\left(x\right)^{5}}"," ",0,"-1/16*(3*cos(x)^4*log(-(sin(x) - 1)/(sin(x) + 1)) - 2*(3*cos(x)^2 + 2)*sin(x))*sqrt(a*cos(x)^2)/(a^3*cos(x)^5)","A",0
45,0,0,0,0.609245," ","integrate((a*cos(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cos\left(x\right)^{3}} a^{2} \cos\left(x\right)^{6}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3)*a^2*cos(x)^6, x)","F",0
46,0,0,0,0.546188," ","integrate((a*cos(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cos\left(x\right)^{3}} a \cos\left(x\right)^{3}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3)*a*cos(x)^3, x)","F",0
47,0,0,0,0.644806," ","integrate((a*cos(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a \cos\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3), x)","F",0
48,0,0,0,0.628914," ","integrate(1/(a*cos(x)^3)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cos\left(x\right)^{3}}}{a \cos\left(x\right)^{3}}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3)/(a*cos(x)^3), x)","F",0
49,0,0,0,0.470051," ","integrate(1/(a*cos(x)^3)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cos\left(x\right)^{3}}}{a^{2} \cos\left(x\right)^{6}}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3)/(a^2*cos(x)^6), x)","F",0
50,0,0,0,0.919574," ","integrate(1/(a*cos(x)^3)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a \cos\left(x\right)^{3}}}{a^{3} \cos\left(x\right)^{9}}, x\right)"," ",0,"integral(sqrt(a*cos(x)^3)/(a^3*cos(x)^9), x)","F",0
51,1,68,0,0.529394," ","integrate((a*cos(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{4}} {\left(315 \, a^{2} x + {\left(128 \, a^{2} \cos\left(x\right)^{9} + 144 \, a^{2} \cos\left(x\right)^{7} + 168 \, a^{2} \cos\left(x\right)^{5} + 210 \, a^{2} \cos\left(x\right)^{3} + 315 \, a^{2} \cos\left(x\right)\right)} \sin\left(x\right)\right)}}{1280 \, \cos\left(x\right)^{2}}"," ",0,"1/1280*sqrt(a*cos(x)^4)*(315*a^2*x + (128*a^2*cos(x)^9 + 144*a^2*cos(x)^7 + 168*a^2*cos(x)^5 + 210*a^2*cos(x)^3 + 315*a^2*cos(x))*sin(x))/cos(x)^2","A",0
52,1,42,0,0.517107," ","integrate((a*cos(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{4}} {\left(15 \, a x + {\left(8 \, a \cos\left(x\right)^{5} + 10 \, a \cos\left(x\right)^{3} + 15 \, a \cos\left(x\right)\right)} \sin\left(x\right)\right)}}{48 \, \cos\left(x\right)^{2}}"," ",0,"1/48*sqrt(a*cos(x)^4)*(15*a*x + (8*a*cos(x)^5 + 10*a*cos(x)^3 + 15*a*cos(x))*sin(x))/cos(x)^2","A",0
53,1,21,0,0.505285," ","integrate((a*cos(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{4}} {\left(\cos\left(x\right) \sin\left(x\right) + x\right)}}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2*sqrt(a*cos(x)^4)*(cos(x)*sin(x) + x)/cos(x)^2","A",0
54,1,18,0,0.486401," ","integrate(1/(a*cos(x)^4)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{4}} \sin\left(x\right)}{a \cos\left(x\right)^{3}}"," ",0,"sqrt(a*cos(x)^4)*sin(x)/(a*cos(x)^3)","A",0
55,1,33,0,0.729438," ","integrate(1/(a*cos(x)^4)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{a \cos\left(x\right)^{4}} {\left(8 \, \cos\left(x\right)^{4} + 4 \, \cos\left(x\right)^{2} + 3\right)} \sin\left(x\right)}{15 \, a^{2} \cos\left(x\right)^{7}}"," ",0,"1/15*sqrt(a*cos(x)^4)*(8*cos(x)^4 + 4*cos(x)^2 + 3)*sin(x)/(a^2*cos(x)^7)","A",0
56,1,45,0,0.505115," ","integrate(1/(a*cos(x)^4)^(5/2),x, algorithm=""fricas"")","\frac{{\left(128 \, \cos\left(x\right)^{8} + 64 \, \cos\left(x\right)^{6} + 48 \, \cos\left(x\right)^{4} + 40 \, \cos\left(x\right)^{2} + 35\right)} \sqrt{a \cos\left(x\right)^{4}} \sin\left(x\right)}{315 \, a^{3} \cos\left(x\right)^{11}}"," ",0,"1/315*(128*cos(x)^8 + 64*cos(x)^6 + 48*cos(x)^4 + 40*cos(x)^2 + 35)*sqrt(a*cos(x)^4)*sin(x)/(a^3*cos(x)^11)","A",0
57,0,0,0,0.450674," ","integrate((b*cos(d*x+c)^m)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)^{m}\right)^{n}, x\right)"," ",0,"integral((b*cos(d*x + c)^m)^n, x)","F",0
58,-2,0,0,0.000000," ","integrate((c*cos(b*x+a)^m)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
59,-2,0,0,0.000000," ","integrate((c*cos(b*x+a)^m)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
60,-2,0,0,0.000000," ","integrate((c*cos(b*x+a)^m)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
61,-2,0,0,0.000000," ","integrate(1/(c*cos(b*x+a)^m)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
62,-2,0,0,0.000000," ","integrate(1/(c*cos(b*x+a)^m)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
63,-2,0,0,0.000000," ","integrate(1/(c*cos(b*x+a)^m)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
64,1,15,0,0.536197," ","integrate((c*cos(b*x+a)^m)^(1/m),x, algorithm=""fricas"")","\frac{c^{\left(\frac{1}{m}\right)} \sin\left(b x + a\right)}{b}"," ",0,"c^(1/m)*sin(b*x + a)/b","A",0
65,0,0,0,0.514641," ","integrate((a*(b*cos(d*x+c))^p)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(\left(b \cos\left(d x + c\right)\right)^{p} a\right)^{n}, x\right)"," ",0,"integral(((b*cos(d*x + c))^p*a)^n, x)","F",0
66,0,0,0,0.486192," ","integrate(cos(d*x+c)^5*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^5, x)","F",0
67,0,0,0,0.660562," ","integrate(cos(d*x+c)^4*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^4, x)","F",0
68,0,0,0,0.637833," ","integrate(cos(d*x+c)^3*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^3, x)","F",0
69,0,0,0,0.561304," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^2, x)","F",0
70,0,0,0,0.566451," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c), x)","F",0
71,0,0,0,0.832213," ","integrate((b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c)), x)","F",0
72,0,0,0,0.476353," ","integrate(sec(d*x+c)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c), x)","F",0
73,0,0,0,0.487059," ","integrate(sec(d*x+c)^2*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^2, x)","F",0
74,0,0,0,0.616962," ","integrate(sec(d*x+c)^3*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^3, x)","F",0
75,0,0,0,0.544733," ","integrate(sec(d*x+c)^4*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^4, x)","F",0
76,0,0,0,0.827944," ","integrate(sec(d*x+c)^5*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^5, x)","F",0
77,0,0,0,0.627604," ","integrate(sec(d*x+c)^6*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^6, x)","F",0
78,0,0,0,0.456262," ","integrate(cos(d*x+c)^4*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)^5, x)","F",0
79,0,0,0,1.048915," ","integrate(cos(d*x+c)^3*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)^4, x)","F",0
80,0,0,0,0.604957," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)^3, x)","F",0
81,0,0,0,0.546369," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)^2, x)","F",0
82,0,0,0,0.522192," ","integrate((b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c), x)","F",0
83,0,0,0,0.491656," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c), x)","F",0
84,0,0,0,0.663178," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^2, x)","F",0
85,0,0,0,0.580166," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^3, x)","F",0
86,0,0,0,0.518478," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^4, x)","F",0
87,0,0,0,0.665422," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^5, x)","F",0
88,0,0,0,0.613350," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^6, x)","F",0
89,0,0,0,0.484869," ","integrate((b*cos(d*x+c))^(3/2)*sec(d*x+c)^7,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{7}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b*cos(d*x + c)*sec(d*x + c)^7, x)","F",0
90,0,0,0,0.686067," ","integrate(cos(d*x+c)^3*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^5, x)","F",0
91,0,0,0,0.533948," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^4, x)","F",0
92,0,0,0,0.513511," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^3, x)","F",0
93,0,0,0,0.497689," ","integrate((b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2, x)","F",0
94,0,0,0,0.731871," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right), x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c), x)","F",0
95,0,0,0,0.596696," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^2, x)","F",0
96,0,0,0,0.569183," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^3, x)","F",0
97,0,0,0,0.876571," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^4, x)","F",0
98,0,0,0,0.474962," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^5,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{5}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^5, x)","F",0
99,0,0,0,0.687070," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^6,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{6}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^6, x)","F",0
100,0,0,0,0.522187," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^7,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{7}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^7, x)","F",0
101,0,0,0,0.641044," ","integrate((b*cos(d*x+c))^(5/2)*sec(d*x+c)^8,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{2} \cos\left(d x + c\right)^{2} \sec\left(d x + c\right)^{8}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^2*cos(d*x + c)^2*sec(d*x + c)^8, x)","F",0
102,0,0,0,0.645648," ","integrate((b*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \cos\left(d x + c\right)} b^{3} \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*b^3*cos(d*x + c)^3, x)","F",0
103,0,0,0,0.542057," ","integrate(cos(d*x+c)^6/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{5}}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^5/b, x)","F",0
104,0,0,0,0.605694," ","integrate(cos(d*x+c)^5/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{4}}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^4/b, x)","F",0
105,0,0,0,0.564764," ","integrate(cos(d*x+c)^4/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{3}}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^3/b, x)","F",0
106,0,0,0,0.930931," ","integrate(cos(d*x+c)^3/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^2/b, x)","F",0
107,0,0,0,0.730154," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)/b, x)","F",0
108,0,0,0,0.826789," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/b, x)","F",0
109,0,0,0,0.662866," ","integrate(1/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b*cos(d*x + c)), x)","F",0
110,0,0,0,0.545926," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
111,0,0,0,0.809939," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
112,0,0,0,0.524234," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
113,0,0,0,0.634092," ","integrate(sec(d*x+c)^4/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^4/(b*cos(d*x + c)), x)","F",0
114,0,0,0,0.592536," ","integrate(sec(d*x+c)^5/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^5/(b*cos(d*x + c)), x)","F",0
115,0,0,0,0.788562," ","integrate(cos(d*x+c)^7/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{5}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^5/b^2, x)","F",0
116,0,0,0,0.706863," ","integrate(cos(d*x+c)^6/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{4}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^4/b^2, x)","F",0
117,0,0,0,0.587340," ","integrate(cos(d*x+c)^5/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{3}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^3/b^2, x)","F",0
118,0,0,0,0.910128," ","integrate(cos(d*x+c)^4/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^2/b^2, x)","F",0
119,0,0,0,0.585070," ","integrate(cos(d*x+c)^3/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)/b^2, x)","F",0
120,0,0,0,0.547600," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/b^2, x)","F",0
121,0,0,0,0.740811," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)), x)","F",0
122,0,0,0,0.977716," ","integrate(1/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^2*cos(d*x + c)^2), x)","F",0
123,0,0,0,0.521634," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
124,0,0,0,0.763696," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
125,0,0,0,0.725526," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b^2*cos(d*x + c)^2), x)","F",0
126,0,0,0,0.547004," ","integrate(sec(d*x+c)^4/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{4}}{b^{2} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^4/(b^2*cos(d*x + c)^2), x)","F",0
127,0,0,0,0.510720," ","integrate(cos(d*x+c)^8/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{5}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^5/b^3, x)","F",0
128,0,0,0,0.473459," ","integrate(cos(d*x+c)^7/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{4}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^4/b^3, x)","F",0
129,0,0,0,0.580278," ","integrate(cos(d*x+c)^6/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{3}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^3/b^3, x)","F",0
130,0,0,0,0.574679," ","integrate(cos(d*x+c)^5/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)^{2}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)^2/b^3, x)","F",0
131,0,0,0,0.601042," ","integrate(cos(d*x+c)^4/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \cos\left(d x + c\right)}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*cos(d*x + c)/b^3, x)","F",0
132,0,0,0,0.591868," ","integrate(cos(d*x+c)^3/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/b^3, x)","F",0
133,0,0,0,0.553525," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)), x)","F",0
134,0,0,0,0.644846," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^2), x)","F",0
135,0,0,0,0.859903," ","integrate(1/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^3*cos(d*x + c)^3), x)","F",0
136,0,0,0,0.645738," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)/(b^3*cos(d*x + c)^3), x)","F",0
137,0,0,0,0.522320," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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(sqrt(b*cos(d*x + c))*sec(d*x + c)^2/(b^3*cos(d*x + c)^3), x)","F",0
138,0,0,0,0.548714," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)} \sec\left(d x + c\right)^{3}}{b^{3} \cos\left(d x + c\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))*sec(d*x + c)^3/(b^3*cos(d*x + c)^3), x)","F",0
139,0,0,0,0.812865," ","integrate(1/(b*cos(d*x+c))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \cos\left(d x + c\right)}}{b^{4} \cos\left(d x + c\right)^{4}}, x\right)"," ",0,"integral(sqrt(b*cos(d*x + c))/(b^4*cos(d*x + c)^4), x)","F",0
140,1,176,0,0.679120," ","integrate(cos(d*x+c)^(7/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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*(sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) + 3*sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))))/d]","A",0
141,1,39,0,0.868842," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(\cos\left(d x + c\right)^{2} + 2\right)} \sin\left(d x + c\right)}{3 \, d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(cos(d*x + c)^2 + 2)*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
142,1,150,0,0.641883," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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
143,1,28,0,0.731496," ","integrate(cos(d*x+c)^(1/2)*(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
144,1,94,0,0.701499," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{\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)}{2 \, d}, \frac{\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)}{d}\right]"," ",0,"[1/2*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, sqrt(b)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))/d]","A",0
145,1,113,0,0.596964," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \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 \, d}, -\frac{\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)}{d}\right]"," ",0,"[1/2*sqrt(b)*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)/d, -sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/d]","A",0
146,1,28,0,0.607400," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(3/2))","A",0
147,1,201,0,0.833381," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{\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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{\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)} \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*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
148,1,41,0,0.570489," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 1\right)} \sin\left(d x + c\right)}{3 \, d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 1)*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
149,1,227,0,0.603478," ","integrate((b*cos(d*x+c))^(1/2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{3 \, \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 \, \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{16 \, d \cos\left(d x + c\right)^{5}}, -\frac{3 \, \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} - \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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*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*sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5), -1/8*(3*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 - sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
150,1,183,0,0.595685," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, b \cos\left(d x + c\right)^{2} + 3 \, b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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)}{16 \, d}, \frac{{\left(2 \, b \cos\left(d x + c\right)^{2} + 3 \, b\right)} \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, 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)}{8 \, d}\right]"," ",0,"[1/16*(2*(2*b*cos(d*x + c)^2 + 3*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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, 1/8*((2*b*cos(d*x + c)^2 + 3*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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
151,1,43,0,0.552029," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{{\left(b \cos\left(d x + c\right)^{2} + 2 \, 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*(b*cos(d*x + c)^2 + 2*b)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
152,1,153,0,0.698964," ","integrate(cos(d*x+c)^(1/2)*(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*b*sqrt(cos(d*x + c))*sin(d*x + 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))*b*sqrt(cos(d*x + c))*sin(d*x + 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
153,1,29,0,0.513931," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} b \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*b*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
154,1,95,0,0.593319," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\left[\frac{\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 \, d}, \frac{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)}{d}\right]"," ",0,"[1/2*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, 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
155,1,114,0,0.569514," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{3}{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 \, d}, -\frac{\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)}{d}\right]"," ",0,"[1/2*b^(3/2)*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)/d, -sqrt(-b)*b*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/d]","A",0
156,1,29,0,0.791121," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} b \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*b*sin(d*x + c)/(d*cos(d*x + c)^(3/2))","A",0
157,1,204,0,0.548030," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\left[\frac{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)} b \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, d \cos\left(d x + c\right)^{3}}, -\frac{\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)} 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*(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))*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*(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))*b*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
158,1,42,0,0.543934," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b \cos\left(d x + c\right)^{2} + 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*b*cos(d*x + c)^2 + b)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
159,1,234,0,0.687278," ","integrate((b*cos(d*x+c))^(3/2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\left[\frac{3 \, 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(3 \, b \cos\left(d x + c\right)^{2} + 2 \, 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{3 \, \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(3 \, b \cos\left(d x + c\right)^{2} + 2 \, 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*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*b*cos(d*x + c)^2 + 2*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*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*b*cos(d*x + c)^2 + 2*b)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^5)]","A",0
160,1,61,0,0.602674," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(3 \, b^{2} \cos\left(d x + c\right)^{4} + 4 \, b^{2} \cos\left(d x + c\right)^{2} + 8 \, 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*b^2*cos(d*x + c)^4 + 4*b^2*cos(d*x + c)^2 + 8*b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
161,1,193,0,0.675997," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, \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 \, b^{2} \cos\left(d x + c\right)^{2} + 3 \, 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{3 \, 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 \, b^{2} \cos\left(d x + c\right)^{2} + 3 \, 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*(3*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*b^2*cos(d*x + c)^2 + 3*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d, 1/8*(3*b^(5/2)*arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2))) + (2*b^2*cos(d*x + c)^2 + 3*b^2)*sqrt(b*cos(d*x + c))*sqrt(cos(d*x + c))*sin(d*x + c))/d]","A",0
162,1,47,0,0.730778," ","integrate(cos(d*x+c)^(1/2)*(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{{\left(b^{2} \cos\left(d x + c\right)^{2} + 2 \, 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*(b^2*cos(d*x + c)^2 + 2*b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
163,1,159,0,1.036221," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} b^{2} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*b^2*sqrt(cos(d*x + c))*sin(d*x + 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))*b^2*sqrt(cos(d*x + c))*sin(d*x + 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
164,1,31,0,0.534274," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} b^{2} \sin\left(d x + c\right)}{d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*b^2*sin(d*x + c)/(d*sqrt(cos(d*x + c)))","A",0
165,1,97,0,0.649150," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","\left[\frac{\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 \, d}, \frac{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)}{d}\right]"," ",0,"[1/2*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, 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
166,1,116,0,0.547488," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","\left[\frac{b^{\frac{5}{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 \, d}, -\frac{\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)}{d}\right]"," ",0,"[1/2*b^(5/2)*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)/d, -sqrt(-b)*b^2*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/d]","A",0
167,1,31,0,0.624343," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} b^{2} \sin\left(d x + c\right)}{d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*b^2*sin(d*x + c)/(d*cos(d*x + c)^(3/2))","A",0
168,1,210,0,0.538379," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(11/2),x, algorithm=""fricas"")","\left[\frac{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)} 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{\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)} 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*(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))*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3), -1/2*(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))*b^2*sqrt(cos(d*x + c))*sin(d*x + c))/(d*cos(d*x + c)^3)]","A",0
169,1,46,0,0.591514," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(13/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} \cos\left(d x + c\right)^{2} + 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*b^2*cos(d*x + c)^2 + b^2)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(d*cos(d*x + c)^(7/2))","A",0
170,1,244,0,0.651614," ","integrate((b*cos(d*x+c))^(5/2)/cos(d*x+c)^(15/2),x, algorithm=""fricas"")","\left[\frac{3 \, 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(3 \, b^{2} \cos\left(d x + c\right)^{2} + 2 \, 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{3 \, \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(3 \, b^{2} \cos\left(d x + c\right)^{2} + 2 \, 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*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*b^2*cos(d*x + c)^2 + 2*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*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*b^2*cos(d*x + c)^2 + 2*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
171,1,54,0,0.669534," ","integrate(cos(d*x+c)^(11/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{{\left(3 \, \cos\left(d x + c\right)^{4} + 4 \, \cos\left(d x + c\right)^{2} + 8\right)} \sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{15 \, b d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/15*(3*cos(d*x + c)^4 + 4*cos(d*x + c)^2 + 8)*sqrt(b*cos(d*x + c))*sin(d*x + c)/(b*d*sqrt(cos(d*x + c)))","A",0
172,1,182,0,0.784169," ","integrate(cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 3 \, \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{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) - 3*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*(sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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
173,1,42,0,0.793035," ","integrate(cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(\cos\left(d x + c\right)^{2} + 2\right)} \sin\left(d x + c\right)}{3 \, b d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(cos(d*x + c)^2 + 2)*sin(d*x + c)/(b*d*sqrt(cos(d*x + c)))","A",0
174,1,157,0,0.628876," ","integrate(cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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
175,1,31,0,0.649285," ","integrate(cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b*d*sqrt(cos(d*x + c)))","A",0
176,1,97,0,0.743794," ","integrate(cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{\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)}{2 \, b d}, \frac{\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)}{\sqrt{b} d}\right]"," ",0,"[-1/2*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), arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))/(sqrt(b)*d)]","A",0
177,1,116,0,0.626886," ","integrate(1/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\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} d}, -\frac{\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)}{b d}\right]"," ",0,"[1/2*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)/(sqrt(b)*d), -sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/(b*d)]","A",0
178,1,31,0,0.656172," ","integrate(1/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b*d*cos(d*x + c)^(3/2))","A",0
179,1,207,0,0.995349," ","integrate(1/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right)}{4 \, b d \cos\left(d x + c\right)^{3}}, -\frac{\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)} \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*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3), -1/2*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^3)]","A",0
180,1,44,0,0.702415," ","integrate(1/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 1\right)} \sin\left(d x + c\right)}{3 \, b d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 1)*sin(d*x + c)/(b*d*cos(d*x + c)^(7/2))","A",0
181,1,233,0,0.747529," ","integrate(1/cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \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 \, \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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{3 \, \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} - \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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*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*sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5), -1/8*(3*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 - sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b*d*cos(d*x + c)^5)]","A",0
182,1,182,0,0.934057," ","integrate(cos(d*x+c)^(11/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 3 \, \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{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) - 3*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*(sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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
183,1,42,0,0.845733," ","integrate(cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(\cos\left(d x + c\right)^{2} + 2\right)} \sin\left(d x + c\right)}{3 \, b^{2} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(cos(d*x + c)^2 + 2)*sin(d*x + c)/(b^2*d*sqrt(cos(d*x + c)))","A",0
184,1,157,0,1.154464," ","integrate(cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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
185,1,31,0,0.915420," ","integrate(cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{2} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^2*d*sqrt(cos(d*x + c)))","A",0
186,1,97,0,0.755266," ","integrate(cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[-\frac{\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)}{2 \, b^{2} d}, \frac{\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)}{b^{\frac{3}{2}} d}\right]"," ",0,"[-1/2*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), arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))/(b^(3/2)*d)]","A",0
187,1,116,0,0.848446," ","integrate(cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{\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 \, b^{\frac{3}{2}} d}, -\frac{\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)}{b^{2} d}\right]"," ",0,"[1/2*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)/(b^(3/2)*d), -sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/(b^2*d)]","A",0
188,1,31,0,0.623840," ","integrate(1/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{2} d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^2*d*cos(d*x + c)^(3/2))","A",0
189,1,207,0,1.390335," ","integrate(1/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{\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)} \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{\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)} \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*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3), -1/2*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^3)]","A",0
190,1,44,0,0.634577," ","integrate(1/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 1\right)} \sin\left(d x + c\right)}{3 \, b^{2} d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 1)*sin(d*x + c)/(b^2*d*cos(d*x + c)^(7/2))","A",0
191,1,233,0,0.781014," ","integrate(1/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, \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 \, \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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{3 \, \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} - \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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*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*sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5), -1/8*(3*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 - sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b^2*d*cos(d*x + c)^5)]","A",0
192,1,182,0,0.853879," ","integrate(cos(d*x+c)^(13/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) - 3 \, \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{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 3\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + c\right) + 3 \, \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*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) - 3*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*(sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 3)*sqrt(cos(d*x + c))*sin(d*x + c) + 3*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
193,1,42,0,0.976270," ","integrate(cos(d*x+c)^(11/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(\cos\left(d x + c\right)^{2} + 2\right)} \sin\left(d x + c\right)}{3 \, b^{3} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(cos(d*x + c)^2 + 2)*sin(d*x + c)/(b^3*d*sqrt(cos(d*x + c)))","A",0
194,1,157,0,0.939565," ","integrate(cos(d*x+c)^(9/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{b \cos\left(d x + c\right)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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)} \sqrt{\cos\left(d x + c\right)} \sin\left(d x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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))*sqrt(cos(d*x + c))*sin(d*x + 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
195,1,31,0,0.677520," ","integrate(cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{3} d \sqrt{\cos\left(d x + c\right)}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^3*d*sqrt(cos(d*x + c)))","A",0
196,1,97,0,0.819749," ","integrate(cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[-\frac{\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)}{2 \, b^{3} d}, \frac{\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)}{b^{\frac{5}{2}} d}\right]"," ",0,"[-1/2*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), arctan(sqrt(b*cos(d*x + c))*sin(d*x + c)/(sqrt(b)*cos(d*x + c)^(3/2)))/(b^(5/2)*d)]","A",0
197,1,116,0,0.916730," ","integrate(cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{\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 \, b^{\frac{5}{2}} d}, -\frac{\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)}{b^{3} d}\right]"," ",0,"[1/2*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)/(b^(5/2)*d), -sqrt(-b)*arctan(sqrt(b*cos(d*x + c))*sqrt(-b)*sin(d*x + c)/(b*sqrt(cos(d*x + c))))/(b^3*d)]","A",0
198,1,31,0,0.954196," ","integrate(cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} \sin\left(d x + c\right)}{b^{3} d \cos\left(d x + c\right)^{\frac{3}{2}}}"," ",0,"sqrt(b*cos(d*x + c))*sin(d*x + c)/(b^3*d*cos(d*x + c)^(3/2))","A",0
199,1,207,0,0.690293," ","integrate(1/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{\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)} \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{\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)} \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*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3), -1/2*(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))*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^3)]","A",0
200,1,44,0,0.950044," ","integrate(1/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\frac{\sqrt{b \cos\left(d x + c\right)} {\left(2 \, \cos\left(d x + c\right)^{2} + 1\right)} \sin\left(d x + c\right)}{3 \, b^{3} d \cos\left(d x + c\right)^{\frac{7}{2}}}"," ",0,"1/3*sqrt(b*cos(d*x + c))*(2*cos(d*x + c)^2 + 1)*sin(d*x + c)/(b^3*d*cos(d*x + c)^(7/2))","A",0
201,1,233,0,0.831384," ","integrate(1/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x, algorithm=""fricas"")","\left[\frac{3 \, \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 \, \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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{3 \, \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} - \sqrt{b \cos\left(d x + c\right)} {\left(3 \, \cos\left(d x + c\right)^{2} + 2\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*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*sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5), -1/8*(3*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 - sqrt(b*cos(d*x + c))*(3*cos(d*x + c)^2 + 2)*sqrt(cos(d*x + c))*sin(d*x + c))/(b^3*d*cos(d*x + c)^5)]","A",0
202,0,0,0,0.658281," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*cos(d*x + c)^m, x)","F",0
203,0,0,0,0.937716," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*cos(d*x + c)^2, x)","F",0
204,0,0,0,0.769113," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*cos(d*x + c), x)","F",0
205,0,0,0,1.022334," ","integrate((b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3), x)","F",0
206,0,0,0,0.739401," ","integrate((b*cos(d*x+c))^(1/3)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*sec(d*x + c), x)","F",0
207,0,0,0,0.631117," ","integrate((b*cos(d*x+c))^(1/3)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*sec(d*x + c)^2, x)","F",0
208,0,0,0,0.869834," ","integrate((b*cos(d*x+c))^(1/3)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*sec(d*x + c)^3, x)","F",0
209,0,0,0,0.921199," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{m}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*cos(d*x + c)^m, x)","F",0
210,0,0,0,0.888173," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*cos(d*x + c)^2, x)","F",0
211,0,0,0,0.944610," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*cos(d*x + c), x)","F",0
212,0,0,0,0.779686," ","integrate((b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3), x)","F",0
213,0,0,0,0.955787," ","integrate((b*cos(d*x+c))^(2/3)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*sec(d*x + c), x)","F",0
214,0,0,0,0.990301," ","integrate((b*cos(d*x+c))^(2/3)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*sec(d*x + c)^2, x)","F",0
215,0,0,0,0.986353," ","integrate((b*cos(d*x+c))^(2/3)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*sec(d*x + c)^3, x)","F",0
216,0,0,0,0.729419," ","integrate(cos(d*x+c)^m*(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right)^{m} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)^m*cos(d*x + c), x)","F",0
217,0,0,0,0.687927," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)^3, x)","F",0
218,0,0,0,0.916547," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)^2, x)","F",0
219,0,0,0,0.789540," ","integrate((b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c), x)","F",0
220,0,0,0,0.942543," ","integrate((b*cos(d*x+c))^(4/3)*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right) \sec\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)*sec(d*x + c), x)","F",0
221,0,0,0,0.813558," ","integrate((b*cos(d*x+c))^(4/3)*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)*sec(d*x + c)^2, x)","F",0
222,0,0,0,0.669860," ","integrate((b*cos(d*x+c))^(4/3)*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} b \cos\left(d x + c\right) \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*b*cos(d*x + c)*sec(d*x + c)^3, x)","F",0
223,0,0,0,0.770143," ","integrate(cos(d*x+c)^m/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
224,0,0,0,1.048057," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}} \cos\left(d x + c\right)}{b}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)*cos(d*x + c)/b, x)","F",0
225,0,0,0,1.018197," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)/b, x)","F",0
226,0,0,0,0.955871," ","integrate(1/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)/(b*cos(d*x + c)), x)","F",0
227,0,0,0,0.872318," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
228,0,0,0,0.672822," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
229,0,0,0,0.487678," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
230,0,0,0,0.602449," ","integrate(cos(d*x+c)^m/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(1/3)*cos(d*x + c)^m/(b*cos(d*x + c)), x)","F",0
231,0,0,0,0.635284," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}} \cos\left(d x + c\right)}{b}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)*cos(d*x + c)/b, x)","F",0
232,0,0,0,0.569460," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}}{b}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)/b, x)","F",0
233,0,0,0,0.499593," ","integrate(1/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{1}{3}}}{b \cos\left(d x + c\right)}, x\right)"," ",0,"integral((b*cos(d*x + c))^(1/3)/(b*cos(d*x + c)), x)","F",0
234,0,0,0,0.783866," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(1/3)*sec(d*x + c)/(b*cos(d*x + c)), x)","F",0
235,0,0,0,0.647675," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(1/3)*sec(d*x + c)^2/(b*cos(d*x + c)), x)","F",0
236,0,0,0,0.957516," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(1/3)*sec(d*x + c)^3/(b*cos(d*x + c)), x)","F",0
237,0,0,0,0.641056," ","integrate(cos(d*x+c)^m/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*cos(d*x + c)^m/(b^2*cos(d*x + c)^2), x)","F",0
238,0,0,0,0.680478," ","integrate(cos(d*x+c)^2/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2}}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)/b^2, x)","F",0
239,0,0,0,0.521687," ","integrate(cos(d*x+c)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{\frac{2}{3}}}{b^{2} \cos\left(d x + c\right)}, x\right)"," ",0,"integral((b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)), x)","F",0
240,0,0,0,0.588161," ","integrate(1/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)/(b^2*cos(d*x + c)^2), x)","F",0
241,0,0,0,0.658985," ","integrate(sec(d*x+c)/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)/(b^2*cos(d*x + c)^2), x)","F",0
242,0,0,0,0.566235," ","integrate(sec(d*x+c)^2/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)^2/(b^2*cos(d*x + c)^2), x)","F",0
243,0,0,0,0.683729," ","integrate(sec(d*x+c)^3/(b*cos(d*x+c))^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\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((b*cos(d*x + c))^(2/3)*sec(d*x + c)^3/(b^2*cos(d*x + c)^2), x)","F",0
244,0,0,0,0.666162," ","integrate((a*cos(f*x+e))^m*(b*cos(f*x+e))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(a \cos\left(f x + e\right)\right)^{m} \left(b \cos\left(f x + e\right)\right)^{n}, x\right)"," ",0,"integral((a*cos(f*x + e))^m*(b*cos(f*x + e))^n, x)","F",0
245,0,0,0,1.012657," ","integrate(cos(d*x+c)^2*(b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*cos(d*x + c)^2, x)","F",0
246,0,0,0,0.622092," ","integrate(cos(d*x+c)*(b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \cos\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^n*cos(d*x + c), x)","F",0
247,0,0,0,0.519770," ","integrate((b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n}, x\right)"," ",0,"integral((b*cos(d*x + c))^n, x)","F",0
248,0,0,0,0.597221," ","integrate((b*cos(d*x+c))^n*sec(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right), x\right)"," ",0,"integral((b*cos(d*x + c))^n*sec(d*x + c), x)","F",0
249,0,0,0,0.892396," ","integrate((b*cos(d*x+c))^n*sec(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{2}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*sec(d*x + c)^2, x)","F",0
250,0,0,0,0.545272," ","integrate((b*cos(d*x+c))^n*sec(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{3}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*sec(d*x + c)^3, x)","F",0
251,0,0,0,1.042491," ","integrate((b*cos(d*x+c))^n*sec(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \sec\left(d x + c\right)^{4}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*sec(d*x + c)^4, x)","F",0
252,0,0,0,0.545174," ","integrate(cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{\frac{5}{2}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*cos(d*x + c)^(5/2), x)","F",0
253,0,0,0,0.636342," ","integrate(cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \cos\left(d x + c\right)^{\frac{3}{2}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*cos(d*x + c)^(3/2), x)","F",0
254,0,0,0,0.595895," ","integrate(cos(d*x+c)^(1/2)*(b*cos(d*x+c))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \cos\left(d x + c\right)\right)^{n} \sqrt{\cos\left(d x + c\right)}, x\right)"," ",0,"integral((b*cos(d*x + c))^n*sqrt(cos(d*x + c)), x)","F",0
255,0,0,0,0.785158," ","integrate((b*cos(d*x+c))^n/cos(d*x+c)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{n}}{\sqrt{\cos\left(d x + c\right)}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n/sqrt(cos(d*x + c)), x)","F",0
256,0,0,0,0.437878," ","integrate((b*cos(d*x+c))^n/cos(d*x+c)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{3}{2}}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n/cos(d*x + c)^(3/2), x)","F",0
257,0,0,0,0.659261," ","integrate((b*cos(d*x+c))^n/cos(d*x+c)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{5}{2}}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n/cos(d*x + c)^(5/2), x)","F",0
258,0,0,0,0.617607," ","integrate((b*cos(d*x+c))^n/cos(d*x+c)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{7}{2}}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n/cos(d*x + c)^(7/2), x)","F",0
259,0,0,0,0.508893," ","integrate((b*cos(d*x+c))^n/cos(d*x+c)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(b \cos\left(d x + c\right)\right)^{n}}{\cos\left(d x + c\right)^{\frac{9}{2}}}, x\right)"," ",0,"integral((b*cos(d*x + c))^n/cos(d*x + c)^(9/2), x)","F",0
260,0,0,0,0.668250," ","integrate((a*cos(f*x+e))^m*(b*sec(f*x+e))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(a \cos\left(f x + e\right)\right)^{m} \left(b \sec\left(f x + e\right)\right)^{n}, x\right)"," ",0,"integral((a*cos(f*x + e))^m*(b*sec(f*x + e))^n, x)","F",0
261,1,13,0,0.637526," ","integrate(cos(b*x+a)*csc(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{\sin\left(b x + a\right)}}{b}"," ",0,"2*sqrt(sin(b*x + a))/b","A",0
262,1,23,0,0.538948," ","integrate(cos(b*x+a)/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(\cos\left(b x + a\right)^{2} - 1\right)}}{3 \, b \sqrt{\sin\left(b x + a\right)}}"," ",0,"-2/3*(cos(b*x + a)^2 - 1)/(b*sqrt(sin(b*x + a)))","A",0
263,0,0,0,0.488281," ","integrate(cos(b*x+a)^2*csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{2} \sqrt{\csc\left(b x + a\right)}, x\right)"," ",0,"integral(cos(b*x + a)^2*sqrt(csc(b*x + a)), x)","F",0
264,0,0,0,0.501925," ","integrate(cos(b*x+a)^2/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b x + a\right)^{2}}{\sqrt{\csc\left(b x + a\right)}}, x\right)"," ",0,"integral(cos(b*x + a)^2/sqrt(csc(b*x + a)), x)","F",0
265,1,22,0,0.493261," ","integrate(cos(x)^3*csc(x)^(9/2),x, algorithm=""fricas"")","\frac{2 \, {\left(7 \, \cos\left(x\right)^{2} - 4\right)}}{21 \, {\left(\cos\left(x\right)^{2} - 1\right)} \sin\left(x\right)^{\frac{3}{2}}}"," ",0,"2/21*(7*cos(x)^2 - 4)/((cos(x)^2 - 1)*sin(x)^(3/2))","A",0
266,1,23,0,0.576898," ","integrate(cos(b*x+a)^3*csc(b*x+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(\cos\left(b x + a\right)^{2} + 4\right)} \sqrt{\sin\left(b x + a\right)}}{5 \, b}"," ",0,"2/5*(cos(b*x + a)^2 + 4)*sqrt(sin(b*x + a))/b","A",0
267,1,33,0,0.547447," ","integrate(cos(b*x+a)^3/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, \cos\left(b x + a\right)^{4} + \cos\left(b x + a\right)^{2} - 4\right)}}{21 \, b \sqrt{\sin\left(b x + a\right)}}"," ",0,"-2/21*(3*cos(b*x + a)^4 + cos(b*x + a)^2 - 4)/(b*sqrt(sin(b*x + a)))","A",0
268,0,0,0,0.622277," ","integrate(cos(b*x+a)^4*csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(b x + a\right)^{4} \sqrt{\csc\left(b x + a\right)}, x\right)"," ",0,"integral(cos(b*x + a)^4*sqrt(csc(b*x + a)), x)","F",0
269,0,0,0,0.655943," ","integrate(cos(b*x+a)^4/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\cos\left(b x + a\right)^{4}}{\sqrt{\csc\left(b x + a\right)}}, x\right)"," ",0,"integral(cos(b*x + a)^4/sqrt(csc(b*x + a)), x)","F",0
270,1,6,0,0.573107," ","integrate(cos(x)*csc(x)^(7/3),x, algorithm=""fricas"")","-\frac{3}{4 \, \sin\left(x\right)^{\frac{4}{3}}}"," ",0,"-3/4/sin(x)^(4/3)","A",0
271,1,95,0,0.820637," ","integrate(csc(b*x+a)^(1/2)*sec(b*x+a),x, algorithm=""fricas"")","\frac{2 \, \arctan\left(\frac{\sin\left(b x + a\right) - 1}{2 \, \sqrt{\sin\left(b x + a\right)}}\right) + \log\left(\frac{\cos\left(b x + a\right)^{2} + \frac{4 \, {\left(\cos\left(b x + a\right)^{2} - \sin\left(b x + a\right) - 1\right)}}{\sqrt{\sin\left(b x + a\right)}} - 6 \, \sin\left(b x + a\right) - 2}{\cos\left(b x + a\right)^{2} + 2 \, \sin\left(b x + a\right) - 2}\right)}{4 \, b}"," ",0,"1/4*(2*arctan(1/2*(sin(b*x + a) - 1)/sqrt(sin(b*x + a))) + log((cos(b*x + a)^2 + 4*(cos(b*x + a)^2 - sin(b*x + a) - 1)/sqrt(sin(b*x + a)) - 6*sin(b*x + a) - 2)/(cos(b*x + a)^2 + 2*sin(b*x + a) - 2)))/b","B",0
272,1,97,0,0.648800," ","integrate(sec(b*x+a)/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\frac{\sin\left(b x + a\right) - 1}{2 \, \sqrt{\sin\left(b x + a\right)}}\right) - \log\left(\frac{\cos\left(b x + a\right)^{2} + \frac{4 \, {\left(\cos\left(b x + a\right)^{2} - \sin\left(b x + a\right) - 1\right)}}{\sqrt{\sin\left(b x + a\right)}} - 6 \, \sin\left(b x + a\right) - 2}{\cos\left(b x + a\right)^{2} + 2 \, \sin\left(b x + a\right) - 2}\right)}{4 \, b}"," ",0,"-1/4*(2*arctan(1/2*(sin(b*x + a) - 1)/sqrt(sin(b*x + a))) - log((cos(b*x + a)^2 + 4*(cos(b*x + a)^2 - sin(b*x + a) - 1)/sqrt(sin(b*x + a)) - 6*sin(b*x + a) - 2)/(cos(b*x + a)^2 + 2*sin(b*x + a) - 2)))/b","B",0
273,0,0,0,0.534133," ","integrate(csc(b*x+a)^(1/2)*sec(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\csc\left(b x + a\right)} \sec\left(b x + a\right)^{2}, x\right)"," ",0,"integral(sqrt(csc(b*x + a))*sec(b*x + a)^2, x)","F",0
274,0,0,0,0.827597," ","integrate(sec(b*x+a)^2/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b x + a\right)^{2}}{\sqrt{\csc\left(b x + a\right)}}, x\right)"," ",0,"integral(sec(b*x + a)^2/sqrt(csc(b*x + a)), x)","F",0
275,1,131,0,0.675824," ","integrate(csc(b*x+a)^(1/2)*sec(b*x+a)^3,x, algorithm=""fricas"")","\frac{6 \, \arctan\left(\frac{\sin\left(b x + a\right) - 1}{2 \, \sqrt{\sin\left(b x + a\right)}}\right) \cos\left(b x + a\right)^{2} + 3 \, \cos\left(b x + a\right)^{2} \log\left(\frac{\cos\left(b x + a\right)^{2} + \frac{4 \, {\left(\cos\left(b x + a\right)^{2} - \sin\left(b x + a\right) - 1\right)}}{\sqrt{\sin\left(b x + a\right)}} - 6 \, \sin\left(b x + a\right) - 2}{\cos\left(b x + a\right)^{2} + 2 \, \sin\left(b x + a\right) - 2}\right) + 8 \, \sqrt{\sin\left(b x + a\right)}}{16 \, b \cos\left(b x + a\right)^{2}}"," ",0,"1/16*(6*arctan(1/2*(sin(b*x + a) - 1)/sqrt(sin(b*x + a)))*cos(b*x + a)^2 + 3*cos(b*x + a)^2*log((cos(b*x + a)^2 + 4*(cos(b*x + a)^2 - sin(b*x + a) - 1)/sqrt(sin(b*x + a)) - 6*sin(b*x + a) - 2)/(cos(b*x + a)^2 + 2*sin(b*x + a) - 2)) + 8*sqrt(sin(b*x + a)))/(b*cos(b*x + a)^2)","B",0
276,1,141,0,0.748505," ","integrate(sec(b*x+a)^3/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\frac{\sin\left(b x + a\right) - 1}{2 \, \sqrt{\sin\left(b x + a\right)}}\right) \cos\left(b x + a\right)^{2} - \cos\left(b x + a\right)^{2} \log\left(\frac{\cos\left(b x + a\right)^{2} + \frac{4 \, {\left(\cos\left(b x + a\right)^{2} - \sin\left(b x + a\right) - 1\right)}}{\sqrt{\sin\left(b x + a\right)}} - 6 \, \sin\left(b x + a\right) - 2}{\cos\left(b x + a\right)^{2} + 2 \, \sin\left(b x + a\right) - 2}\right) + \frac{8 \, {\left(\cos\left(b x + a\right)^{2} - 1\right)}}{\sqrt{\sin\left(b x + a\right)}}}{16 \, b \cos\left(b x + a\right)^{2}}"," ",0,"-1/16*(2*arctan(1/2*(sin(b*x + a) - 1)/sqrt(sin(b*x + a)))*cos(b*x + a)^2 - cos(b*x + a)^2*log((cos(b*x + a)^2 + 4*(cos(b*x + a)^2 - sin(b*x + a) - 1)/sqrt(sin(b*x + a)) - 6*sin(b*x + a) - 2)/(cos(b*x + a)^2 + 2*sin(b*x + a) - 2)) + 8*(cos(b*x + a)^2 - 1)/sqrt(sin(b*x + a)))/(b*cos(b*x + a)^2)","B",0
277,0,0,0,0.598225," ","integrate(csc(b*x+a)^(1/2)*sec(b*x+a)^4,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{\csc\left(b x + a\right)} \sec\left(b x + a\right)^{4}, x\right)"," ",0,"integral(sqrt(csc(b*x + a))*sec(b*x + a)^4, x)","F",0
278,0,0,0,0.742907," ","integrate(sec(b*x+a)^4/csc(b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sec\left(b x + a\right)^{4}}{\sqrt{\csc\left(b x + a\right)}}, x\right)"," ",0,"integral(sec(b*x + a)^4/sqrt(csc(b*x + a)), x)","F",0
279,0,0,0,0.560394," ","integrate((d*cos(b*x+a))^(3/2)*csc(b*x+a)^p,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \cos\left(b x + a\right)} d \csc\left(b x + a\right)^{p} \cos\left(b x + a\right), x\right)"," ",0,"integral(sqrt(d*cos(b*x + a))*d*csc(b*x + a)^p*cos(b*x + a), x)","F",0
280,0,0,0,0.542843," ","integrate((d*cos(b*x+a))^(1/2)*csc(b*x+a)^p,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d \cos\left(b x + a\right)} \csc\left(b x + a\right)^{p}, x\right)"," ",0,"integral(sqrt(d*cos(b*x + a))*csc(b*x + a)^p, x)","F",0
281,0,0,0,0.701701," ","integrate(csc(b*x+a)^p/(d*cos(b*x+a))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \cos\left(b x + a\right)} \csc\left(b x + a\right)^{p}}{d \cos\left(b x + a\right)}, x\right)"," ",0,"integral(sqrt(d*cos(b*x + a))*csc(b*x + a)^p/(d*cos(b*x + a)), x)","F",0
282,0,0,0,0.587550," ","integrate(csc(b*x+a)^p/(d*cos(b*x+a))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \cos\left(b x + a\right)} \csc\left(b x + a\right)^{p}}{d^{2} \cos\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(sqrt(d*cos(b*x + a))*csc(b*x + a)^p/(d^2*cos(b*x + a)^2), x)","F",0
283,0,0,0,0.627962," ","integrate(csc(b*x+a)^p/(d*cos(b*x+a))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d \cos\left(b x + a\right)} \csc\left(b x + a\right)^{p}}{d^{3} \cos\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(sqrt(d*cos(b*x + a))*csc(b*x + a)^p/(d^3*cos(b*x + a)^3), x)","F",0
284,0,0,0,0.656816," ","integrate(cos(f*x+e)^m*csc(f*x+e)^n,x, algorithm=""fricas"")","{\rm integral}\left(\cos\left(f x + e\right)^{m} \csc\left(f x + e\right)^{n}, x\right)"," ",0,"integral(cos(f*x + e)^m*csc(f*x + e)^n, x)","F",0
285,0,0,0,0.679420," ","integrate((a*cos(f*x+e))^m*csc(f*x+e)^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(a \cos\left(f x + e\right)\right)^{m} \csc\left(f x + e\right)^{n}, x\right)"," ",0,"integral((a*cos(f*x + e))^m*csc(f*x + e)^n, x)","F",0
286,0,0,0,0.687857," ","integrate(cos(f*x+e)^m*(b*csc(f*x+e))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(b \csc\left(f x + e\right)\right)^{n} \cos\left(f x + e\right)^{m}, x\right)"," ",0,"integral((b*csc(f*x + e))^n*cos(f*x + e)^m, x)","F",0
287,0,0,0,0.854048," ","integrate((a*cos(f*x+e))^m*(b*csc(f*x+e))^n,x, algorithm=""fricas"")","{\rm integral}\left(\left(a \cos\left(f x + e\right)\right)^{m} \left(b \csc\left(f x + e\right)\right)^{n}, x\right)"," ",0,"integral((a*cos(f*x + e))^m*(b*csc(f*x + e))^n, x)","F",0
288,0,0,0,0.582114," ","integrate((a*cos(f*x+e))^m*(b*csc(f*x+e))^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m} b^{3} \csc\left(f x + e\right)^{3}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m*b^3*csc(f*x + e)^3, x)","F",0
289,0,0,0,0.652011," ","integrate((a*cos(f*x+e))^m*(b*csc(f*x+e))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m} b^{2} \csc\left(f x + e\right)^{2}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m*b^2*csc(f*x + e)^2, x)","F",0
290,0,0,0,0.645049," ","integrate((a*cos(f*x+e))^m*(b*csc(f*x+e))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m} b \csc\left(f x + e\right), x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m*b*csc(f*x + e), x)","F",0
291,0,0,0,0.872645," ","integrate((a*cos(f*x+e))^m*(b*csc(f*x+e))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m, x)","F",0
292,0,0,0,0.841842," ","integrate((a*cos(f*x+e))^m/(b*csc(f*x+e))^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m}}{b \csc\left(f x + e\right)}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m/(b*csc(f*x + e)), x)","F",0
293,0,0,0,0.693990," ","integrate((a*cos(f*x+e))^m/(b*csc(f*x+e))^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m}}{b^{2} \csc\left(f x + e\right)^{2}}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m/(b^2*csc(f*x + e)^2), x)","F",0
294,0,0,0,0.972341," ","integrate((a*cos(f*x+e))^m/(b*csc(f*x+e))^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b \csc\left(f x + e\right)} \left(a \cos\left(f x + e\right)\right)^{m}}{b^{3} \csc\left(f x + e\right)^{3}}, x\right)"," ",0,"integral(sqrt(b*csc(f*x + e))*(a*cos(f*x + e))^m/(b^3*csc(f*x + e)^3), x)","F",0
